diff --git a/lib/python3.12/site-packages/numpy/_core/__init__.py b/lib/python3.12/site-packages/numpy/_core/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..a2f096f3f1744f5f122b97d6b7b2ce0559c6abaa --- /dev/null +++ b/lib/python3.12/site-packages/numpy/_core/__init__.py @@ -0,0 +1,4 @@ +""" +This private module only contains stubs for interoperability with +NumPy 2.0 pickled arrays. It may not be used by the end user. +""" diff --git a/lib/python3.12/site-packages/numpy/_core/__init__.pyi b/lib/python3.12/site-packages/numpy/_core/__init__.pyi new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 diff --git a/lib/python3.12/site-packages/numpy/_core/__pycache__/__init__.cpython-312.pyc b/lib/python3.12/site-packages/numpy/_core/__pycache__/__init__.cpython-312.pyc new file mode 100644 index 0000000000000000000000000000000000000000..70fc2abbd12eb9876c9341511c8cdaba6e68b556 Binary files /dev/null and b/lib/python3.12/site-packages/numpy/_core/__pycache__/__init__.cpython-312.pyc differ diff --git a/lib/python3.12/site-packages/numpy/_core/__pycache__/_dtype.cpython-312.pyc b/lib/python3.12/site-packages/numpy/_core/__pycache__/_dtype.cpython-312.pyc new file mode 100644 index 0000000000000000000000000000000000000000..9a7f498c8358219d2e4b879507ed26866abce984 Binary files /dev/null and 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Binary files /dev/null and b/lib/python3.12/site-packages/numpy/_core/__pycache__/umath.cpython-312.pyc differ diff --git a/lib/python3.12/site-packages/numpy/_core/_dtype.py b/lib/python3.12/site-packages/numpy/_core/_dtype.py new file mode 100644 index 0000000000000000000000000000000000000000..974d93d98cbbbcd25c7aae6d299c9f0f43e41cfa --- /dev/null +++ b/lib/python3.12/site-packages/numpy/_core/_dtype.py @@ -0,0 +1,6 @@ +from numpy.core import _dtype + +_globals = globals() + +for item in _dtype.__dir__(): + _globals[item] = getattr(_dtype, item) diff --git a/lib/python3.12/site-packages/numpy/_core/_dtype_ctypes.py b/lib/python3.12/site-packages/numpy/_core/_dtype_ctypes.py new file mode 100644 index 0000000000000000000000000000000000000000..bfa16aabf423d478af4ea2ab1910e454f5966028 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/_core/_dtype_ctypes.py @@ -0,0 +1,6 @@ +from numpy.core import _dtype_ctypes + +_globals = globals() + +for item in _dtype_ctypes.__dir__(): + _globals[item] = getattr(_dtype_ctypes, item) diff --git a/lib/python3.12/site-packages/numpy/_core/_internal.py b/lib/python3.12/site-packages/numpy/_core/_internal.py new file mode 100644 index 0000000000000000000000000000000000000000..52a8e907292ebbadb481c78be2522aa37a5ba533 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/_core/_internal.py @@ -0,0 +1,6 @@ +from numpy.core import _internal + +_globals = globals() + +for item in _internal.__dir__(): + _globals[item] = getattr(_internal, item) diff --git a/lib/python3.12/site-packages/numpy/_core/_multiarray_umath.py b/lib/python3.12/site-packages/numpy/_core/_multiarray_umath.py new file mode 100644 index 0000000000000000000000000000000000000000..7ce48fcb258d56855ffd104e0bb1cd4aafba9de2 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/_core/_multiarray_umath.py @@ -0,0 +1,6 @@ +from numpy.core import _multiarray_umath + +_globals = globals() + +for item in _multiarray_umath.__dir__(): + _globals[item] = getattr(_multiarray_umath, item) diff --git a/lib/python3.12/site-packages/numpy/_core/multiarray.py b/lib/python3.12/site-packages/numpy/_core/multiarray.py new file mode 100644 index 0000000000000000000000000000000000000000..6c37d1da9fe7eede0cdf77ce3c5e6d4f2ad65550 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/_core/multiarray.py @@ -0,0 +1,6 @@ +from numpy.core import multiarray + +_globals = globals() + +for item in multiarray.__dir__(): + _globals[item] = getattr(multiarray, item) diff --git a/lib/python3.12/site-packages/numpy/_core/umath.py b/lib/python3.12/site-packages/numpy/_core/umath.py new file mode 100644 index 0000000000000000000000000000000000000000..3d08c90332a358aab1405dcc22f5dd0502a1f152 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/_core/umath.py @@ -0,0 +1,6 @@ +from numpy.core import umath + +_globals = globals() + +for item in umath.__dir__(): + _globals[item] = getattr(umath, item) diff --git a/lib/python3.12/site-packages/numpy/array_api/__init__.py b/lib/python3.12/site-packages/numpy/array_api/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..edc3205fd5c4e7767b03a6c7d01bc025755e0490 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/array_api/__init__.py @@ -0,0 +1,387 @@ +""" +A NumPy sub-namespace that conforms to the Python array API standard. + +This submodule accompanies NEP 47, which proposes its inclusion in NumPy. It +is still considered experimental, and will issue a warning when imported. + +This is a proof-of-concept namespace that wraps the corresponding NumPy +functions to give a conforming implementation of the Python array API standard +(https://data-apis.github.io/array-api/latest/). The standard is currently in +an RFC phase and comments on it are both welcome and encouraged. Comments +should be made either at https://github.com/data-apis/array-api or at +https://github.com/data-apis/consortium-feedback/discussions. + +NumPy already follows the proposed spec for the most part, so this module +serves mostly as a thin wrapper around it. However, NumPy also implements a +lot of behavior that is not included in the spec, so this serves as a +restricted subset of the API. Only those functions that are part of the spec +are included in this namespace, and all functions are given with the exact +signature given in the spec, including the use of position-only arguments, and +omitting any extra keyword arguments implemented by NumPy but not part of the +spec. The behavior of some functions is also modified from the NumPy behavior +to conform to the standard. Note that the underlying array object itself is +wrapped in a wrapper Array() class, but is otherwise unchanged. This submodule +is implemented in pure Python with no C extensions. + +The array API spec is designed as a "minimal API subset" and explicitly allows +libraries to include behaviors not specified by it. But users of this module +that intend to write portable code should be aware that only those behaviors +that are listed in the spec are guaranteed to be implemented across libraries. +Consequently, the NumPy implementation was chosen to be both conforming and +minimal, so that users can use this implementation of the array API namespace +and be sure that behaviors that it defines will be available in conforming +namespaces from other libraries. + +A few notes about the current state of this submodule: + +- There is a test suite that tests modules against the array API standard at + https://github.com/data-apis/array-api-tests. The test suite is still a work + in progress, but the existing tests pass on this module, with a few + exceptions: + + - DLPack support (see https://github.com/data-apis/array-api/pull/106) is + not included here, as it requires a full implementation in NumPy proper + first. + + The test suite is not yet complete, and even the tests that exist are not + guaranteed to give a comprehensive coverage of the spec. Therefore, when + reviewing and using this submodule, you should refer to the standard + documents themselves. There are some tests in numpy.array_api.tests, but + they primarily focus on things that are not tested by the official array API + test suite. + +- There is a custom array object, numpy.array_api.Array, which is returned by + all functions in this module. All functions in the array API namespace + implicitly assume that they will only receive this object as input. The only + way to create instances of this object is to use one of the array creation + functions. It does not have a public constructor on the object itself. The + object is a small wrapper class around numpy.ndarray. The main purpose of it + is to restrict the namespace of the array object to only those dtypes and + only those methods that are required by the spec, as well as to limit/change + certain behavior that differs in the spec. In particular: + + - The array API namespace does not have scalar objects, only 0-D arrays. + Operations on Array that would create a scalar in NumPy create a 0-D + array. + + - Indexing: Only a subset of indices supported by NumPy are required by the + spec. The Array object restricts indexing to only allow those types of + indices that are required by the spec. See the docstring of the + numpy.array_api.Array._validate_indices helper function for more + information. + + - Type promotion: Some type promotion rules are different in the spec. In + particular, the spec does not have any value-based casting. The spec also + does not require cross-kind casting, like integer -> floating-point. Only + those promotions that are explicitly required by the array API + specification are allowed in this module. See NEP 47 for more info. + + - Functions do not automatically call asarray() on their input, and will not + work if the input type is not Array. The exception is array creation + functions, and Python operators on the Array object, which accept Python + scalars of the same type as the array dtype. + +- All functions include type annotations, corresponding to those given in the + spec (see _typing.py for definitions of some custom types). These do not + currently fully pass mypy due to some limitations in mypy. + +- Dtype objects are just the NumPy dtype objects, e.g., float64 = + np.dtype('float64'). The spec does not require any behavior on these dtype + objects other than that they be accessible by name and be comparable by + equality, but it was considered too much extra complexity to create custom + objects to represent dtypes. + +- All places where the implementations in this submodule are known to deviate + from their corresponding functions in NumPy are marked with "# Note:" + comments. + +Still TODO in this module are: + +- DLPack support for numpy.ndarray is still in progress. See + https://github.com/numpy/numpy/pull/19083. + +- The copy=False keyword argument to asarray() is not yet implemented. This + requires support in numpy.asarray() first. + +- Some functions are not yet fully tested in the array API test suite, and may + require updates that are not yet known until the tests are written. + +- The spec is still in an RFC phase and may still have minor updates, which + will need to be reflected here. + +- Complex number support in array API spec is planned but not yet finalized, + as are the fft extension and certain linear algebra functions such as eig + that require complex dtypes. + +""" + +import warnings + +warnings.warn( + "The numpy.array_api submodule is still experimental. See NEP 47.", stacklevel=2 +) + +__array_api_version__ = "2022.12" + +__all__ = ["__array_api_version__"] + +from ._constants import e, inf, nan, pi, newaxis + +__all__ += ["e", "inf", "nan", "pi", "newaxis"] + +from ._creation_functions import ( + asarray, + arange, + empty, + empty_like, + eye, + from_dlpack, + full, + full_like, + linspace, + meshgrid, + ones, + ones_like, + tril, + triu, + zeros, + zeros_like, +) + +__all__ += [ + "asarray", + "arange", + "empty", + "empty_like", + "eye", + "from_dlpack", + "full", + "full_like", + "linspace", + "meshgrid", + "ones", + "ones_like", + "tril", + "triu", + "zeros", + "zeros_like", +] + +from ._data_type_functions import ( + astype, + broadcast_arrays, + broadcast_to, + can_cast, + finfo, + isdtype, + iinfo, + result_type, +) + +__all__ += [ + "astype", + "broadcast_arrays", + "broadcast_to", + "can_cast", + "finfo", + "iinfo", + "result_type", +] + +from ._dtypes import ( + int8, + int16, + int32, + int64, + uint8, + uint16, + uint32, + uint64, + float32, + float64, + complex64, + complex128, + bool, +) + +__all__ += [ + "int8", + "int16", + "int32", + "int64", + "uint8", + "uint16", + "uint32", + "uint64", + "float32", + "float64", + "bool", +] + +from ._elementwise_functions import ( + abs, + acos, + acosh, + add, + asin, + asinh, + atan, + atan2, + atanh, + bitwise_and, + bitwise_left_shift, + bitwise_invert, + bitwise_or, + bitwise_right_shift, + bitwise_xor, + ceil, + conj, + cos, + cosh, + divide, + equal, + exp, + expm1, + floor, + floor_divide, + greater, + greater_equal, + imag, + isfinite, + isinf, + isnan, + less, + less_equal, + log, + log1p, + log2, + log10, + logaddexp, + logical_and, + logical_not, + logical_or, + logical_xor, + multiply, + negative, + not_equal, + positive, + pow, + real, + remainder, + round, + sign, + sin, + sinh, + square, + sqrt, + subtract, + tan, + tanh, + trunc, +) + +__all__ += [ + "abs", + "acos", + "acosh", + "add", + "asin", + "asinh", + "atan", + "atan2", + "atanh", + "bitwise_and", + "bitwise_left_shift", + "bitwise_invert", + "bitwise_or", + "bitwise_right_shift", + "bitwise_xor", + "ceil", + "cos", + "cosh", + "divide", + "equal", + "exp", + "expm1", + "floor", + "floor_divide", + "greater", + "greater_equal", + "isfinite", + "isinf", + "isnan", + "less", + "less_equal", + "log", + "log1p", + "log2", + "log10", + "logaddexp", + "logical_and", + "logical_not", + "logical_or", + "logical_xor", + "multiply", + "negative", + "not_equal", + "positive", + "pow", + "remainder", + "round", + "sign", + "sin", + "sinh", + "square", + "sqrt", + "subtract", + "tan", + "tanh", + "trunc", +] + +from ._indexing_functions import take + +__all__ += ["take"] + +# linalg is an extension in the array API spec, which is a sub-namespace. Only +# a subset of functions in it are imported into the top-level namespace. +from . import linalg + +__all__ += ["linalg"] + +from .linalg import matmul, tensordot, matrix_transpose, vecdot + +__all__ += ["matmul", "tensordot", "matrix_transpose", "vecdot"] + +from ._manipulation_functions import ( + concat, + expand_dims, + flip, + permute_dims, + reshape, + roll, + squeeze, + stack, +) + +__all__ += ["concat", "expand_dims", "flip", "permute_dims", "reshape", "roll", "squeeze", "stack"] + +from ._searching_functions import argmax, argmin, nonzero, where + +__all__ += ["argmax", "argmin", "nonzero", "where"] + +from ._set_functions import unique_all, unique_counts, unique_inverse, unique_values + +__all__ += ["unique_all", "unique_counts", "unique_inverse", "unique_values"] + +from ._sorting_functions import argsort, sort + +__all__ += ["argsort", "sort"] + +from ._statistical_functions import max, mean, min, prod, std, sum, var + +__all__ += ["max", "mean", "min", "prod", "std", "sum", "var"] + +from ._utility_functions import all, any + +__all__ += ["all", "any"] diff --git a/lib/python3.12/site-packages/numpy/array_api/__pycache__/_data_type_functions.cpython-312.pyc b/lib/python3.12/site-packages/numpy/array_api/__pycache__/_data_type_functions.cpython-312.pyc new file mode 100644 index 0000000000000000000000000000000000000000..e5277252d3f78cdc9e00b3982a6b633c49c668d6 Binary files /dev/null and b/lib/python3.12/site-packages/numpy/array_api/__pycache__/_data_type_functions.cpython-312.pyc differ diff --git a/lib/python3.12/site-packages/numpy/array_api/__pycache__/_elementwise_functions.cpython-312.pyc b/lib/python3.12/site-packages/numpy/array_api/__pycache__/_elementwise_functions.cpython-312.pyc new file mode 100644 index 0000000000000000000000000000000000000000..2afea9b0523003635fcdec426aaadbf30e7389a2 Binary files /dev/null and b/lib/python3.12/site-packages/numpy/array_api/__pycache__/_elementwise_functions.cpython-312.pyc differ diff --git a/lib/python3.12/site-packages/numpy/array_api/__pycache__/_indexing_functions.cpython-312.pyc b/lib/python3.12/site-packages/numpy/array_api/__pycache__/_indexing_functions.cpython-312.pyc new file mode 100644 index 0000000000000000000000000000000000000000..0354662c4bd10a9ab0bd43078fc4bbd1ba56df1c Binary files /dev/null and b/lib/python3.12/site-packages/numpy/array_api/__pycache__/_indexing_functions.cpython-312.pyc differ diff --git a/lib/python3.12/site-packages/numpy/array_api/__pycache__/_manipulation_functions.cpython-312.pyc b/lib/python3.12/site-packages/numpy/array_api/__pycache__/_manipulation_functions.cpython-312.pyc new file mode 100644 index 0000000000000000000000000000000000000000..290ad73144d15a2a708c1ab5641e8bb8782b13b0 Binary files /dev/null and b/lib/python3.12/site-packages/numpy/array_api/__pycache__/_manipulation_functions.cpython-312.pyc differ diff --git a/lib/python3.12/site-packages/numpy/array_api/__pycache__/_searching_functions.cpython-312.pyc b/lib/python3.12/site-packages/numpy/array_api/__pycache__/_searching_functions.cpython-312.pyc new file mode 100644 index 0000000000000000000000000000000000000000..343423ca1a1e6694ad8fedaa25a3fd76da0ea3ea Binary files /dev/null and b/lib/python3.12/site-packages/numpy/array_api/__pycache__/_searching_functions.cpython-312.pyc differ diff --git a/lib/python3.12/site-packages/numpy/array_api/__pycache__/linalg.cpython-312.pyc b/lib/python3.12/site-packages/numpy/array_api/__pycache__/linalg.cpython-312.pyc new file mode 100644 index 0000000000000000000000000000000000000000..c497efe178f7db05e2c0f6bd918af80e0972a232 Binary files /dev/null and b/lib/python3.12/site-packages/numpy/array_api/__pycache__/linalg.cpython-312.pyc differ diff --git a/lib/python3.12/site-packages/numpy/array_api/_array_object.py b/lib/python3.12/site-packages/numpy/array_api/_array_object.py new file mode 100644 index 0000000000000000000000000000000000000000..5aff9863d821d7d997fc912a92befb26b1777866 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/array_api/_array_object.py @@ -0,0 +1,1133 @@ +""" +Wrapper class around the ndarray object for the array API standard. + +The array API standard defines some behaviors differently than ndarray, in +particular, type promotion rules are different (the standard has no +value-based casting). The standard also specifies a more limited subset of +array methods and functionalities than are implemented on ndarray. Since the +goal of the array_api namespace is to be a minimal implementation of the array +API standard, we need to define a separate wrapper class for the array_api +namespace. + +The standard compliant class is only a wrapper class. It is *not* a subclass +of ndarray. +""" + +from __future__ import annotations + +import operator +from enum import IntEnum +from ._creation_functions import asarray +from ._dtypes import ( + _all_dtypes, + _boolean_dtypes, + _integer_dtypes, + _integer_or_boolean_dtypes, + _floating_dtypes, + _complex_floating_dtypes, + _numeric_dtypes, + _result_type, + _dtype_categories, +) + +from typing import TYPE_CHECKING, Optional, Tuple, Union, Any, SupportsIndex +import types + +if TYPE_CHECKING: + from ._typing import Any, PyCapsule, Device, Dtype + import numpy.typing as npt + +import numpy as np + +from numpy import array_api + + +class Array: + """ + n-d array object for the array API namespace. + + See the docstring of :py:obj:`np.ndarray ` for more + information. + + This is a wrapper around numpy.ndarray that restricts the usage to only + those things that are required by the array API namespace. Note, + attributes on this object that start with a single underscore are not part + of the API specification and should only be used internally. This object + should not be constructed directly. Rather, use one of the creation + functions, such as asarray(). + + """ + _array: np.ndarray[Any, Any] + + # Use a custom constructor instead of __init__, as manually initializing + # this class is not supported API. + @classmethod + def _new(cls, x, /): + """ + This is a private method for initializing the array API Array + object. + + Functions outside of the array_api submodule should not use this + method. Use one of the creation functions instead, such as + ``asarray``. + + """ + obj = super().__new__(cls) + # Note: The spec does not have array scalars, only 0-D arrays. + if isinstance(x, np.generic): + # Convert the array scalar to a 0-D array + x = np.asarray(x) + if x.dtype not in _all_dtypes: + raise TypeError( + f"The array_api namespace does not support the dtype '{x.dtype}'" + ) + obj._array = x + return obj + + # Prevent Array() from working + def __new__(cls, *args, **kwargs): + raise TypeError( + "The array_api Array object should not be instantiated directly. Use an array creation function, such as asarray(), instead." + ) + + # These functions are not required by the spec, but are implemented for + # the sake of usability. + + def __str__(self: Array, /) -> str: + """ + Performs the operation __str__. + """ + return self._array.__str__().replace("array", "Array") + + def __repr__(self: Array, /) -> str: + """ + Performs the operation __repr__. + """ + suffix = f", dtype={self.dtype.name})" + if 0 in self.shape: + prefix = "empty(" + mid = str(self.shape) + else: + prefix = "Array(" + mid = np.array2string(self._array, separator=', ', prefix=prefix, suffix=suffix) + return prefix + mid + suffix + + # This function is not required by the spec, but we implement it here for + # convenience so that np.asarray(np.array_api.Array) will work. + def __array__(self, dtype: None | np.dtype[Any] = None) -> npt.NDArray[Any]: + """ + Warning: this method is NOT part of the array API spec. Implementers + of other libraries need not include it, and users should not assume it + will be present in other implementations. + + """ + return np.asarray(self._array, dtype=dtype) + + # These are various helper functions to make the array behavior match the + # spec in places where it either deviates from or is more strict than + # NumPy behavior + + def _check_allowed_dtypes(self, other: bool | int | float | Array, dtype_category: str, op: str) -> Array: + """ + Helper function for operators to only allow specific input dtypes + + Use like + + other = self._check_allowed_dtypes(other, 'numeric', '__add__') + if other is NotImplemented: + return other + """ + + if self.dtype not in _dtype_categories[dtype_category]: + raise TypeError(f"Only {dtype_category} dtypes are allowed in {op}") + if isinstance(other, (int, complex, float, bool)): + other = self._promote_scalar(other) + elif isinstance(other, Array): + if other.dtype not in _dtype_categories[dtype_category]: + raise TypeError(f"Only {dtype_category} dtypes are allowed in {op}") + else: + return NotImplemented + + # This will raise TypeError for type combinations that are not allowed + # to promote in the spec (even if the NumPy array operator would + # promote them). + res_dtype = _result_type(self.dtype, other.dtype) + if op.startswith("__i"): + # Note: NumPy will allow in-place operators in some cases where + # the type promoted operator does not match the left-hand side + # operand. For example, + + # >>> a = np.array(1, dtype=np.int8) + # >>> a += np.array(1, dtype=np.int16) + + # The spec explicitly disallows this. + if res_dtype != self.dtype: + raise TypeError( + f"Cannot perform {op} with dtypes {self.dtype} and {other.dtype}" + ) + + return other + + # Helper function to match the type promotion rules in the spec + def _promote_scalar(self, scalar): + """ + Returns a promoted version of a Python scalar appropriate for use with + operations on self. + + This may raise an OverflowError in cases where the scalar is an + integer that is too large to fit in a NumPy integer dtype, or + TypeError when the scalar type is incompatible with the dtype of self. + """ + # Note: Only Python scalar types that match the array dtype are + # allowed. + if isinstance(scalar, bool): + if self.dtype not in _boolean_dtypes: + raise TypeError( + "Python bool scalars can only be promoted with bool arrays" + ) + elif isinstance(scalar, int): + if self.dtype in _boolean_dtypes: + raise TypeError( + "Python int scalars cannot be promoted with bool arrays" + ) + if self.dtype in _integer_dtypes: + info = np.iinfo(self.dtype) + if not (info.min <= scalar <= info.max): + raise OverflowError( + "Python int scalars must be within the bounds of the dtype for integer arrays" + ) + # int + array(floating) is allowed + elif isinstance(scalar, float): + if self.dtype not in _floating_dtypes: + raise TypeError( + "Python float scalars can only be promoted with floating-point arrays." + ) + elif isinstance(scalar, complex): + if self.dtype not in _complex_floating_dtypes: + raise TypeError( + "Python complex scalars can only be promoted with complex floating-point arrays." + ) + else: + raise TypeError("'scalar' must be a Python scalar") + + # Note: scalars are unconditionally cast to the same dtype as the + # array. + + # Note: the spec only specifies integer-dtype/int promotion + # behavior for integers within the bounds of the integer dtype. + # Outside of those bounds we use the default NumPy behavior (either + # cast or raise OverflowError). + return Array._new(np.array(scalar, self.dtype)) + + @staticmethod + def _normalize_two_args(x1, x2) -> Tuple[Array, Array]: + """ + Normalize inputs to two arg functions to fix type promotion rules + + NumPy deviates from the spec type promotion rules in cases where one + argument is 0-dimensional and the other is not. For example: + + >>> import numpy as np + >>> a = np.array([1.0], dtype=np.float32) + >>> b = np.array(1.0, dtype=np.float64) + >>> np.add(a, b) # The spec says this should be float64 + array([2.], dtype=float32) + + To fix this, we add a dimension to the 0-dimension array before passing it + through. This works because a dimension would be added anyway from + broadcasting, so the resulting shape is the same, but this prevents NumPy + from not promoting the dtype. + """ + # Another option would be to use signature=(x1.dtype, x2.dtype, None), + # but that only works for ufuncs, so we would have to call the ufuncs + # directly in the operator methods. One should also note that this + # sort of trick wouldn't work for functions like searchsorted, which + # don't do normal broadcasting, but there aren't any functions like + # that in the array API namespace. + if x1.ndim == 0 and x2.ndim != 0: + # The _array[None] workaround was chosen because it is relatively + # performant. broadcast_to(x1._array, x2.shape) is much slower. We + # could also manually type promote x2, but that is more complicated + # and about the same performance as this. + x1 = Array._new(x1._array[None]) + elif x2.ndim == 0 and x1.ndim != 0: + x2 = Array._new(x2._array[None]) + return (x1, x2) + + # Note: A large fraction of allowed indices are disallowed here (see the + # docstring below) + def _validate_index(self, key): + """ + Validate an index according to the array API. + + The array API specification only requires a subset of indices that are + supported by NumPy. This function will reject any index that is + allowed by NumPy but not required by the array API specification. We + always raise ``IndexError`` on such indices (the spec does not require + any specific behavior on them, but this makes the NumPy array API + namespace a minimal implementation of the spec). See + https://data-apis.org/array-api/latest/API_specification/indexing.html + for the full list of required indexing behavior + + This function raises IndexError if the index ``key`` is invalid. It + only raises ``IndexError`` on indices that are not already rejected by + NumPy, as NumPy will already raise the appropriate error on such + indices. ``shape`` may be None, in which case, only cases that are + independent of the array shape are checked. + + The following cases are allowed by NumPy, but not specified by the array + API specification: + + - Indices to not include an implicit ellipsis at the end. That is, + every axis of an array must be explicitly indexed or an ellipsis + included. This behaviour is sometimes referred to as flat indexing. + + - The start and stop of a slice may not be out of bounds. In + particular, for a slice ``i:j:k`` on an axis of size ``n``, only the + following are allowed: + + - ``i`` or ``j`` omitted (``None``). + - ``-n <= i <= max(0, n - 1)``. + - For ``k > 0`` or ``k`` omitted (``None``), ``-n <= j <= n``. + - For ``k < 0``, ``-n - 1 <= j <= max(0, n - 1)``. + + - Boolean array indices are not allowed as part of a larger tuple + index. + + - Integer array indices are not allowed (with the exception of 0-D + arrays, which are treated the same as scalars). + + Additionally, it should be noted that indices that would return a + scalar in NumPy will return a 0-D array. Array scalars are not allowed + in the specification, only 0-D arrays. This is done in the + ``Array._new`` constructor, not this function. + + """ + _key = key if isinstance(key, tuple) else (key,) + for i in _key: + if isinstance(i, bool) or not ( + isinstance(i, SupportsIndex) # i.e. ints + or isinstance(i, slice) + or i == Ellipsis + or i is None + or isinstance(i, Array) + or isinstance(i, np.ndarray) + ): + raise IndexError( + f"Single-axes index {i} has {type(i)=}, but only " + "integers, slices (:), ellipsis (...), newaxis (None), " + "zero-dimensional integer arrays and boolean arrays " + "are specified in the Array API." + ) + + nonexpanding_key = [] + single_axes = [] + n_ellipsis = 0 + key_has_mask = False + for i in _key: + if i is not None: + nonexpanding_key.append(i) + if isinstance(i, Array) or isinstance(i, np.ndarray): + if i.dtype in _boolean_dtypes: + key_has_mask = True + single_axes.append(i) + else: + # i must not be an array here, to avoid elementwise equals + if i == Ellipsis: + n_ellipsis += 1 + else: + single_axes.append(i) + + n_single_axes = len(single_axes) + if n_ellipsis > 1: + return # handled by ndarray + elif n_ellipsis == 0: + # Note boolean masks must be the sole index, which we check for + # later on. + if not key_has_mask and n_single_axes < self.ndim: + raise IndexError( + f"{self.ndim=}, but the multi-axes index only specifies " + f"{n_single_axes} dimensions. If this was intentional, " + "add a trailing ellipsis (...) which expands into as many " + "slices (:) as necessary - this is what np.ndarray arrays " + "implicitly do, but such flat indexing behaviour is not " + "specified in the Array API." + ) + + if n_ellipsis == 0: + indexed_shape = self.shape + else: + ellipsis_start = None + for pos, i in enumerate(nonexpanding_key): + if not (isinstance(i, Array) or isinstance(i, np.ndarray)): + if i == Ellipsis: + ellipsis_start = pos + break + assert ellipsis_start is not None # sanity check + ellipsis_end = self.ndim - (n_single_axes - ellipsis_start) + indexed_shape = ( + self.shape[:ellipsis_start] + self.shape[ellipsis_end:] + ) + for i, side in zip(single_axes, indexed_shape): + if isinstance(i, slice): + if side == 0: + f_range = "0 (or None)" + else: + f_range = f"between -{side} and {side - 1} (or None)" + if i.start is not None: + try: + start = operator.index(i.start) + except TypeError: + pass # handled by ndarray + else: + if not (-side <= start <= side): + raise IndexError( + f"Slice {i} contains {start=}, but should be " + f"{f_range} for an axis of size {side} " + "(out-of-bounds starts are not specified in " + "the Array API)" + ) + if i.stop is not None: + try: + stop = operator.index(i.stop) + except TypeError: + pass # handled by ndarray + else: + if not (-side <= stop <= side): + raise IndexError( + f"Slice {i} contains {stop=}, but should be " + f"{f_range} for an axis of size {side} " + "(out-of-bounds stops are not specified in " + "the Array API)" + ) + elif isinstance(i, Array): + if i.dtype in _boolean_dtypes and len(_key) != 1: + assert isinstance(key, tuple) # sanity check + raise IndexError( + f"Single-axes index {i} is a boolean array and " + f"{len(key)=}, but masking is only specified in the " + "Array API when the array is the sole index." + ) + elif i.dtype in _integer_dtypes and i.ndim != 0: + raise IndexError( + f"Single-axes index {i} is a non-zero-dimensional " + "integer array, but advanced integer indexing is not " + "specified in the Array API." + ) + elif isinstance(i, tuple): + raise IndexError( + f"Single-axes index {i} is a tuple, but nested tuple " + "indices are not specified in the Array API." + ) + + # Everything below this line is required by the spec. + + def __abs__(self: Array, /) -> Array: + """ + Performs the operation __abs__. + """ + if self.dtype not in _numeric_dtypes: + raise TypeError("Only numeric dtypes are allowed in __abs__") + res = self._array.__abs__() + return self.__class__._new(res) + + def __add__(self: Array, other: Union[int, float, Array], /) -> Array: + """ + Performs the operation __add__. + """ + other = self._check_allowed_dtypes(other, "numeric", "__add__") + if other is NotImplemented: + return other + self, other = self._normalize_two_args(self, other) + res = self._array.__add__(other._array) + return self.__class__._new(res) + + def __and__(self: Array, other: Union[int, bool, Array], /) -> Array: + """ + Performs the operation __and__. + """ + other = self._check_allowed_dtypes(other, "integer or boolean", "__and__") + if other is NotImplemented: + return other + self, other = self._normalize_two_args(self, other) + res = self._array.__and__(other._array) + return self.__class__._new(res) + + def __array_namespace__( + self: Array, /, *, api_version: Optional[str] = None + ) -> types.ModuleType: + if api_version is not None and not api_version.startswith("2021."): + raise ValueError(f"Unrecognized array API version: {api_version!r}") + return array_api + + def __bool__(self: Array, /) -> bool: + """ + Performs the operation __bool__. + """ + # Note: This is an error here. + if self._array.ndim != 0: + raise TypeError("bool is only allowed on arrays with 0 dimensions") + res = self._array.__bool__() + return res + + def __complex__(self: Array, /) -> complex: + """ + Performs the operation __complex__. + """ + # Note: This is an error here. + if self._array.ndim != 0: + raise TypeError("complex is only allowed on arrays with 0 dimensions") + res = self._array.__complex__() + return res + + def __dlpack__(self: Array, /, *, stream: None = None) -> PyCapsule: + """ + Performs the operation __dlpack__. + """ + return self._array.__dlpack__(stream=stream) + + def __dlpack_device__(self: Array, /) -> Tuple[IntEnum, int]: + """ + Performs the operation __dlpack_device__. + """ + # Note: device support is required for this + return self._array.__dlpack_device__() + + def __eq__(self: Array, other: Union[int, float, bool, Array], /) -> Array: + """ + Performs the operation __eq__. + """ + # Even though "all" dtypes are allowed, we still require them to be + # promotable with each other. + other = self._check_allowed_dtypes(other, "all", "__eq__") + if other is NotImplemented: + return other + self, other = self._normalize_two_args(self, other) + res = self._array.__eq__(other._array) + return self.__class__._new(res) + + def __float__(self: Array, /) -> float: + """ + Performs the operation __float__. + """ + # Note: This is an error here. + if self._array.ndim != 0: + raise TypeError("float is only allowed on arrays with 0 dimensions") + if self.dtype in _complex_floating_dtypes: + raise TypeError("float is not allowed on complex floating-point arrays") + res = self._array.__float__() + return res + + def __floordiv__(self: Array, other: Union[int, float, Array], /) -> Array: + """ + Performs the operation __floordiv__. + """ + other = self._check_allowed_dtypes(other, "real numeric", "__floordiv__") + if other is NotImplemented: + return other + self, other = self._normalize_two_args(self, other) + res = self._array.__floordiv__(other._array) + return self.__class__._new(res) + + def __ge__(self: Array, other: Union[int, float, Array], /) -> Array: + """ + Performs the operation __ge__. + """ + other = self._check_allowed_dtypes(other, "real numeric", "__ge__") + if other is NotImplemented: + return other + self, other = self._normalize_two_args(self, other) + res = self._array.__ge__(other._array) + return self.__class__._new(res) + + def __getitem__( + self: Array, + key: Union[ + int, + slice, + ellipsis, + Tuple[Union[int, slice, ellipsis, None], ...], + Array, + ], + /, + ) -> Array: + """ + Performs the operation __getitem__. + """ + # Note: Only indices required by the spec are allowed. See the + # docstring of _validate_index + self._validate_index(key) + if isinstance(key, Array): + # Indexing self._array with array_api arrays can be erroneous + key = key._array + res = self._array.__getitem__(key) + return self._new(res) + + def __gt__(self: Array, other: Union[int, float, Array], /) -> Array: + """ + Performs the operation __gt__. + """ + other = self._check_allowed_dtypes(other, "real numeric", "__gt__") + if other is NotImplemented: + return other + self, other = self._normalize_two_args(self, other) + res = self._array.__gt__(other._array) + return self.__class__._new(res) + + def __int__(self: Array, /) -> int: + """ + Performs the operation __int__. + """ + # Note: This is an error here. + if self._array.ndim != 0: + raise TypeError("int is only allowed on arrays with 0 dimensions") + if self.dtype in _complex_floating_dtypes: + raise TypeError("int is not allowed on complex floating-point arrays") + res = self._array.__int__() + return res + + def __index__(self: Array, /) -> int: + """ + Performs the operation __index__. + """ + res = self._array.__index__() + return res + + def __invert__(self: Array, /) -> Array: + """ + Performs the operation __invert__. + """ + if self.dtype not in _integer_or_boolean_dtypes: + raise TypeError("Only integer or boolean dtypes are allowed in __invert__") + res = self._array.__invert__() + return self.__class__._new(res) + + def __le__(self: Array, other: Union[int, float, Array], /) -> Array: + """ + Performs the operation __le__. + """ + other = self._check_allowed_dtypes(other, "real numeric", "__le__") + if other is NotImplemented: + return other + self, other = self._normalize_two_args(self, other) + res = self._array.__le__(other._array) + return self.__class__._new(res) + + def __lshift__(self: Array, other: Union[int, Array], /) -> Array: + """ + Performs the operation __lshift__. + """ + other = self._check_allowed_dtypes(other, "integer", "__lshift__") + if other is NotImplemented: + return other + self, other = self._normalize_two_args(self, other) + res = self._array.__lshift__(other._array) + return self.__class__._new(res) + + def __lt__(self: Array, other: Union[int, float, Array], /) -> Array: + """ + Performs the operation __lt__. + """ + other = self._check_allowed_dtypes(other, "real numeric", "__lt__") + if other is NotImplemented: + return other + self, other = self._normalize_two_args(self, other) + res = self._array.__lt__(other._array) + return self.__class__._new(res) + + def __matmul__(self: Array, other: Array, /) -> Array: + """ + Performs the operation __matmul__. + """ + # matmul is not defined for scalars, but without this, we may get + # the wrong error message from asarray. + other = self._check_allowed_dtypes(other, "numeric", "__matmul__") + if other is NotImplemented: + return other + res = self._array.__matmul__(other._array) + return self.__class__._new(res) + + def __mod__(self: Array, other: Union[int, float, Array], /) -> Array: + """ + Performs the operation __mod__. + """ + other = self._check_allowed_dtypes(other, "real numeric", "__mod__") + if other is NotImplemented: + return other + self, other = self._normalize_two_args(self, other) + res = self._array.__mod__(other._array) + return self.__class__._new(res) + + def __mul__(self: Array, other: Union[int, float, Array], /) -> Array: + """ + Performs the operation __mul__. + """ + other = self._check_allowed_dtypes(other, "numeric", "__mul__") + if other is NotImplemented: + return other + self, other = self._normalize_two_args(self, other) + res = self._array.__mul__(other._array) + return self.__class__._new(res) + + def __ne__(self: Array, other: Union[int, float, bool, Array], /) -> Array: + """ + Performs the operation __ne__. + """ + other = self._check_allowed_dtypes(other, "all", "__ne__") + if other is NotImplemented: + return other + self, other = self._normalize_two_args(self, other) + res = self._array.__ne__(other._array) + return self.__class__._new(res) + + def __neg__(self: Array, /) -> Array: + """ + Performs the operation __neg__. + """ + if self.dtype not in _numeric_dtypes: + raise TypeError("Only numeric dtypes are allowed in __neg__") + res = self._array.__neg__() + return self.__class__._new(res) + + def __or__(self: Array, other: Union[int, bool, Array], /) -> Array: + """ + Performs the operation __or__. + """ + other = self._check_allowed_dtypes(other, "integer or boolean", "__or__") + if other is NotImplemented: + return other + self, other = self._normalize_two_args(self, other) + res = self._array.__or__(other._array) + return self.__class__._new(res) + + def __pos__(self: Array, /) -> Array: + """ + Performs the operation __pos__. + """ + if self.dtype not in _numeric_dtypes: + raise TypeError("Only numeric dtypes are allowed in __pos__") + res = self._array.__pos__() + return self.__class__._new(res) + + def __pow__(self: Array, other: Union[int, float, Array], /) -> Array: + """ + Performs the operation __pow__. + """ + from ._elementwise_functions import pow + + other = self._check_allowed_dtypes(other, "numeric", "__pow__") + if other is NotImplemented: + return other + # Note: NumPy's __pow__ does not follow type promotion rules for 0-d + # arrays, so we use pow() here instead. + return pow(self, other) + + def __rshift__(self: Array, other: Union[int, Array], /) -> Array: + """ + Performs the operation __rshift__. + """ + other = self._check_allowed_dtypes(other, "integer", "__rshift__") + if other is NotImplemented: + return other + self, other = self._normalize_two_args(self, other) + res = self._array.__rshift__(other._array) + return self.__class__._new(res) + + def __setitem__( + self, + key: Union[ + int, slice, ellipsis, Tuple[Union[int, slice, ellipsis], ...], Array + ], + value: Union[int, float, bool, Array], + /, + ) -> None: + """ + Performs the operation __setitem__. + """ + # Note: Only indices required by the spec are allowed. See the + # docstring of _validate_index + self._validate_index(key) + if isinstance(key, Array): + # Indexing self._array with array_api arrays can be erroneous + key = key._array + self._array.__setitem__(key, asarray(value)._array) + + def __sub__(self: Array, other: Union[int, float, Array], /) -> Array: + """ + Performs the operation __sub__. + """ + other = self._check_allowed_dtypes(other, "numeric", "__sub__") + if other is NotImplemented: + return other + self, other = self._normalize_two_args(self, other) + res = self._array.__sub__(other._array) + return self.__class__._new(res) + + # PEP 484 requires int to be a subtype of float, but __truediv__ should + # not accept int. + def __truediv__(self: Array, other: Union[float, Array], /) -> Array: + """ + Performs the operation __truediv__. + """ + other = self._check_allowed_dtypes(other, "floating-point", "__truediv__") + if other is NotImplemented: + return other + self, other = self._normalize_two_args(self, other) + res = self._array.__truediv__(other._array) + return self.__class__._new(res) + + def __xor__(self: Array, other: Union[int, bool, Array], /) -> Array: + """ + Performs the operation __xor__. + """ + other = self._check_allowed_dtypes(other, "integer or boolean", "__xor__") + if other is NotImplemented: + return other + self, other = self._normalize_two_args(self, other) + res = self._array.__xor__(other._array) + return self.__class__._new(res) + + def __iadd__(self: Array, other: Union[int, float, Array], /) -> Array: + """ + Performs the operation __iadd__. + """ + other = self._check_allowed_dtypes(other, "numeric", "__iadd__") + if other is NotImplemented: + return other + self._array.__iadd__(other._array) + return self + + def __radd__(self: Array, other: Union[int, float, Array], /) -> Array: + """ + Performs the operation __radd__. + """ + other = self._check_allowed_dtypes(other, "numeric", "__radd__") + if other is NotImplemented: + return other + self, other = self._normalize_two_args(self, other) + res = self._array.__radd__(other._array) + return self.__class__._new(res) + + def __iand__(self: Array, other: Union[int, bool, Array], /) -> Array: + """ + Performs the operation __iand__. + """ + other = self._check_allowed_dtypes(other, "integer or boolean", "__iand__") + if other is NotImplemented: + return other + self._array.__iand__(other._array) + return self + + def __rand__(self: Array, other: Union[int, bool, Array], /) -> Array: + """ + Performs the operation __rand__. + """ + other = self._check_allowed_dtypes(other, "integer or boolean", "__rand__") + if other is NotImplemented: + return other + self, other = self._normalize_two_args(self, other) + res = self._array.__rand__(other._array) + return self.__class__._new(res) + + def __ifloordiv__(self: Array, other: Union[int, float, Array], /) -> Array: + """ + Performs the operation __ifloordiv__. + """ + other = self._check_allowed_dtypes(other, "real numeric", "__ifloordiv__") + if other is NotImplemented: + return other + self._array.__ifloordiv__(other._array) + return self + + def __rfloordiv__(self: Array, other: Union[int, float, Array], /) -> Array: + """ + Performs the operation __rfloordiv__. + """ + other = self._check_allowed_dtypes(other, "real numeric", "__rfloordiv__") + if other is NotImplemented: + return other + self, other = self._normalize_two_args(self, other) + res = self._array.__rfloordiv__(other._array) + return self.__class__._new(res) + + def __ilshift__(self: Array, other: Union[int, Array], /) -> Array: + """ + Performs the operation __ilshift__. + """ + other = self._check_allowed_dtypes(other, "integer", "__ilshift__") + if other is NotImplemented: + return other + self._array.__ilshift__(other._array) + return self + + def __rlshift__(self: Array, other: Union[int, Array], /) -> Array: + """ + Performs the operation __rlshift__. + """ + other = self._check_allowed_dtypes(other, "integer", "__rlshift__") + if other is NotImplemented: + return other + self, other = self._normalize_two_args(self, other) + res = self._array.__rlshift__(other._array) + return self.__class__._new(res) + + def __imatmul__(self: Array, other: Array, /) -> Array: + """ + Performs the operation __imatmul__. + """ + # matmul is not defined for scalars, but without this, we may get + # the wrong error message from asarray. + other = self._check_allowed_dtypes(other, "numeric", "__imatmul__") + if other is NotImplemented: + return other + res = self._array.__imatmul__(other._array) + return self.__class__._new(res) + + def __rmatmul__(self: Array, other: Array, /) -> Array: + """ + Performs the operation __rmatmul__. + """ + # matmul is not defined for scalars, but without this, we may get + # the wrong error message from asarray. + other = self._check_allowed_dtypes(other, "numeric", "__rmatmul__") + if other is NotImplemented: + return other + res = self._array.__rmatmul__(other._array) + return self.__class__._new(res) + + def __imod__(self: Array, other: Union[int, float, Array], /) -> Array: + """ + Performs the operation __imod__. + """ + other = self._check_allowed_dtypes(other, "real numeric", "__imod__") + if other is NotImplemented: + return other + self._array.__imod__(other._array) + return self + + def __rmod__(self: Array, other: Union[int, float, Array], /) -> Array: + """ + Performs the operation __rmod__. + """ + other = self._check_allowed_dtypes(other, "real numeric", "__rmod__") + if other is NotImplemented: + return other + self, other = self._normalize_two_args(self, other) + res = self._array.__rmod__(other._array) + return self.__class__._new(res) + + def __imul__(self: Array, other: Union[int, float, Array], /) -> Array: + """ + Performs the operation __imul__. + """ + other = self._check_allowed_dtypes(other, "numeric", "__imul__") + if other is NotImplemented: + return other + self._array.__imul__(other._array) + return self + + def __rmul__(self: Array, other: Union[int, float, Array], /) -> Array: + """ + Performs the operation __rmul__. + """ + other = self._check_allowed_dtypes(other, "numeric", "__rmul__") + if other is NotImplemented: + return other + self, other = self._normalize_two_args(self, other) + res = self._array.__rmul__(other._array) + return self.__class__._new(res) + + def __ior__(self: Array, other: Union[int, bool, Array], /) -> Array: + """ + Performs the operation __ior__. + """ + other = self._check_allowed_dtypes(other, "integer or boolean", "__ior__") + if other is NotImplemented: + return other + self._array.__ior__(other._array) + return self + + def __ror__(self: Array, other: Union[int, bool, Array], /) -> Array: + """ + Performs the operation __ror__. + """ + other = self._check_allowed_dtypes(other, "integer or boolean", "__ror__") + if other is NotImplemented: + return other + self, other = self._normalize_two_args(self, other) + res = self._array.__ror__(other._array) + return self.__class__._new(res) + + def __ipow__(self: Array, other: Union[int, float, Array], /) -> Array: + """ + Performs the operation __ipow__. + """ + other = self._check_allowed_dtypes(other, "numeric", "__ipow__") + if other is NotImplemented: + return other + self._array.__ipow__(other._array) + return self + + def __rpow__(self: Array, other: Union[int, float, Array], /) -> Array: + """ + Performs the operation __rpow__. + """ + from ._elementwise_functions import pow + + other = self._check_allowed_dtypes(other, "numeric", "__rpow__") + if other is NotImplemented: + return other + # Note: NumPy's __pow__ does not follow the spec type promotion rules + # for 0-d arrays, so we use pow() here instead. + return pow(other, self) + + def __irshift__(self: Array, other: Union[int, Array], /) -> Array: + """ + Performs the operation __irshift__. + """ + other = self._check_allowed_dtypes(other, "integer", "__irshift__") + if other is NotImplemented: + return other + self._array.__irshift__(other._array) + return self + + def __rrshift__(self: Array, other: Union[int, Array], /) -> Array: + """ + Performs the operation __rrshift__. + """ + other = self._check_allowed_dtypes(other, "integer", "__rrshift__") + if other is NotImplemented: + return other + self, other = self._normalize_two_args(self, other) + res = self._array.__rrshift__(other._array) + return self.__class__._new(res) + + def __isub__(self: Array, other: Union[int, float, Array], /) -> Array: + """ + Performs the operation __isub__. + """ + other = self._check_allowed_dtypes(other, "numeric", "__isub__") + if other is NotImplemented: + return other + self._array.__isub__(other._array) + return self + + def __rsub__(self: Array, other: Union[int, float, Array], /) -> Array: + """ + Performs the operation __rsub__. + """ + other = self._check_allowed_dtypes(other, "numeric", "__rsub__") + if other is NotImplemented: + return other + self, other = self._normalize_two_args(self, other) + res = self._array.__rsub__(other._array) + return self.__class__._new(res) + + def __itruediv__(self: Array, other: Union[float, Array], /) -> Array: + """ + Performs the operation __itruediv__. + """ + other = self._check_allowed_dtypes(other, "floating-point", "__itruediv__") + if other is NotImplemented: + return other + self._array.__itruediv__(other._array) + return self + + def __rtruediv__(self: Array, other: Union[float, Array], /) -> Array: + """ + Performs the operation __rtruediv__. + """ + other = self._check_allowed_dtypes(other, "floating-point", "__rtruediv__") + if other is NotImplemented: + return other + self, other = self._normalize_two_args(self, other) + res = self._array.__rtruediv__(other._array) + return self.__class__._new(res) + + def __ixor__(self: Array, other: Union[int, bool, Array], /) -> Array: + """ + Performs the operation __ixor__. + """ + other = self._check_allowed_dtypes(other, "integer or boolean", "__ixor__") + if other is NotImplemented: + return other + self._array.__ixor__(other._array) + return self + + def __rxor__(self: Array, other: Union[int, bool, Array], /) -> Array: + """ + Performs the operation __rxor__. + """ + other = self._check_allowed_dtypes(other, "integer or boolean", "__rxor__") + if other is NotImplemented: + return other + self, other = self._normalize_two_args(self, other) + res = self._array.__rxor__(other._array) + return self.__class__._new(res) + + def to_device(self: Array, device: Device, /, stream: None = None) -> Array: + if stream is not None: + raise ValueError("The stream argument to to_device() is not supported") + if device == 'cpu': + return self + raise ValueError(f"Unsupported device {device!r}") + + @property + def dtype(self) -> Dtype: + """ + Array API compatible wrapper for :py:meth:`np.ndarray.dtype `. + + See its docstring for more information. + """ + return self._array.dtype + + @property + def device(self) -> Device: + return "cpu" + + # Note: mT is new in array API spec (see matrix_transpose) + @property + def mT(self) -> Array: + from .linalg import matrix_transpose + return matrix_transpose(self) + + @property + def ndim(self) -> int: + """ + Array API compatible wrapper for :py:meth:`np.ndarray.ndim `. + + See its docstring for more information. + """ + return self._array.ndim + + @property + def shape(self) -> Tuple[int, ...]: + """ + Array API compatible wrapper for :py:meth:`np.ndarray.shape `. + + See its docstring for more information. + """ + return self._array.shape + + @property + def size(self) -> int: + """ + Array API compatible wrapper for :py:meth:`np.ndarray.size `. + + See its docstring for more information. + """ + return self._array.size + + @property + def T(self) -> Array: + """ + Array API compatible wrapper for :py:meth:`np.ndarray.T `. + + See its docstring for more information. + """ + # Note: T only works on 2-dimensional arrays. See the corresponding + # note in the specification: + # https://data-apis.org/array-api/latest/API_specification/array_object.html#t + if self.ndim != 2: + raise ValueError("x.T requires x to have 2 dimensions. Use x.mT to transpose stacks of matrices and permute_dims() to permute dimensions.") + return self.__class__._new(self._array.T) diff --git a/lib/python3.12/site-packages/numpy/array_api/_constants.py b/lib/python3.12/site-packages/numpy/array_api/_constants.py new file mode 100644 index 0000000000000000000000000000000000000000..15ab81d16d932e6c4b4351e54081c5e5301d38c1 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/array_api/_constants.py @@ -0,0 +1,7 @@ +import numpy as np + +e = np.e +inf = np.inf +nan = np.nan +pi = np.pi +newaxis = np.newaxis diff --git a/lib/python3.12/site-packages/numpy/array_api/_creation_functions.py b/lib/python3.12/site-packages/numpy/array_api/_creation_functions.py new file mode 100644 index 0000000000000000000000000000000000000000..3b014d37b2d64adc70cc76892bbfc96189b6eedf --- /dev/null +++ b/lib/python3.12/site-packages/numpy/array_api/_creation_functions.py @@ -0,0 +1,351 @@ +from __future__ import annotations + + +from typing import TYPE_CHECKING, List, Optional, Tuple, Union + +if TYPE_CHECKING: + from ._typing import ( + Array, + Device, + Dtype, + NestedSequence, + SupportsBufferProtocol, + ) + from collections.abc import Sequence +from ._dtypes import _all_dtypes + +import numpy as np + + +def _check_valid_dtype(dtype): + # Note: Only spelling dtypes as the dtype objects is supported. + + # We use this instead of "dtype in _all_dtypes" because the dtype objects + # define equality with the sorts of things we want to disallow. + for d in (None,) + _all_dtypes: + if dtype is d: + return + raise ValueError("dtype must be one of the supported dtypes") + + +def asarray( + obj: Union[ + Array, + bool, + int, + float, + NestedSequence[bool | int | float], + SupportsBufferProtocol, + ], + /, + *, + dtype: Optional[Dtype] = None, + device: Optional[Device] = None, + copy: Optional[Union[bool, np._CopyMode]] = None, +) -> Array: + """ + Array API compatible wrapper for :py:func:`np.asarray `. + + See its docstring for more information. + """ + # _array_object imports in this file are inside the functions to avoid + # circular imports + from ._array_object import Array + + _check_valid_dtype(dtype) + if device not in ["cpu", None]: + raise ValueError(f"Unsupported device {device!r}") + if copy in (False, np._CopyMode.IF_NEEDED): + # Note: copy=False is not yet implemented in np.asarray + raise NotImplementedError("copy=False is not yet implemented") + if isinstance(obj, Array): + if dtype is not None and obj.dtype != dtype: + copy = True + if copy in (True, np._CopyMode.ALWAYS): + return Array._new(np.array(obj._array, copy=True, dtype=dtype)) + return obj + if dtype is None and isinstance(obj, int) and (obj > 2 ** 64 or obj < -(2 ** 63)): + # Give a better error message in this case. NumPy would convert this + # to an object array. TODO: This won't handle large integers in lists. + raise OverflowError("Integer out of bounds for array dtypes") + res = np.asarray(obj, dtype=dtype) + return Array._new(res) + + +def arange( + start: Union[int, float], + /, + stop: Optional[Union[int, float]] = None, + step: Union[int, float] = 1, + *, + dtype: Optional[Dtype] = None, + device: Optional[Device] = None, +) -> Array: + """ + Array API compatible wrapper for :py:func:`np.arange `. + + See its docstring for more information. + """ + from ._array_object import Array + + _check_valid_dtype(dtype) + if device not in ["cpu", None]: + raise ValueError(f"Unsupported device {device!r}") + return Array._new(np.arange(start, stop=stop, step=step, dtype=dtype)) + + +def empty( + shape: Union[int, Tuple[int, ...]], + *, + dtype: Optional[Dtype] = None, + device: Optional[Device] = None, +) -> Array: + """ + Array API compatible wrapper for :py:func:`np.empty `. + + See its docstring for more information. + """ + from ._array_object import Array + + _check_valid_dtype(dtype) + if device not in ["cpu", None]: + raise ValueError(f"Unsupported device {device!r}") + return Array._new(np.empty(shape, dtype=dtype)) + + +def empty_like( + x: Array, /, *, dtype: Optional[Dtype] = None, device: Optional[Device] = None +) -> Array: + """ + Array API compatible wrapper for :py:func:`np.empty_like `. + + See its docstring for more information. + """ + from ._array_object import Array + + _check_valid_dtype(dtype) + if device not in ["cpu", None]: + raise ValueError(f"Unsupported device {device!r}") + return Array._new(np.empty_like(x._array, dtype=dtype)) + + +def eye( + n_rows: int, + n_cols: Optional[int] = None, + /, + *, + k: int = 0, + dtype: Optional[Dtype] = None, + device: Optional[Device] = None, +) -> Array: + """ + Array API compatible wrapper for :py:func:`np.eye `. + + See its docstring for more information. + """ + from ._array_object import Array + + _check_valid_dtype(dtype) + if device not in ["cpu", None]: + raise ValueError(f"Unsupported device {device!r}") + return Array._new(np.eye(n_rows, M=n_cols, k=k, dtype=dtype)) + + +def from_dlpack(x: object, /) -> Array: + from ._array_object import Array + + return Array._new(np.from_dlpack(x)) + + +def full( + shape: Union[int, Tuple[int, ...]], + fill_value: Union[int, float], + *, + dtype: Optional[Dtype] = None, + device: Optional[Device] = None, +) -> Array: + """ + Array API compatible wrapper for :py:func:`np.full `. + + See its docstring for more information. + """ + from ._array_object import Array + + _check_valid_dtype(dtype) + if device not in ["cpu", None]: + raise ValueError(f"Unsupported device {device!r}") + if isinstance(fill_value, Array) and fill_value.ndim == 0: + fill_value = fill_value._array + res = np.full(shape, fill_value, dtype=dtype) + if res.dtype not in _all_dtypes: + # This will happen if the fill value is not something that NumPy + # coerces to one of the acceptable dtypes. + raise TypeError("Invalid input to full") + return Array._new(res) + + +def full_like( + x: Array, + /, + fill_value: Union[int, float], + *, + dtype: Optional[Dtype] = None, + device: Optional[Device] = None, +) -> Array: + """ + Array API compatible wrapper for :py:func:`np.full_like `. + + See its docstring for more information. + """ + from ._array_object import Array + + _check_valid_dtype(dtype) + if device not in ["cpu", None]: + raise ValueError(f"Unsupported device {device!r}") + res = np.full_like(x._array, fill_value, dtype=dtype) + if res.dtype not in _all_dtypes: + # This will happen if the fill value is not something that NumPy + # coerces to one of the acceptable dtypes. + raise TypeError("Invalid input to full_like") + return Array._new(res) + + +def linspace( + start: Union[int, float], + stop: Union[int, float], + /, + num: int, + *, + dtype: Optional[Dtype] = None, + device: Optional[Device] = None, + endpoint: bool = True, +) -> Array: + """ + Array API compatible wrapper for :py:func:`np.linspace `. + + See its docstring for more information. + """ + from ._array_object import Array + + _check_valid_dtype(dtype) + if device not in ["cpu", None]: + raise ValueError(f"Unsupported device {device!r}") + return Array._new(np.linspace(start, stop, num, dtype=dtype, endpoint=endpoint)) + + +def meshgrid(*arrays: Array, indexing: str = "xy") -> List[Array]: + """ + Array API compatible wrapper for :py:func:`np.meshgrid `. + + See its docstring for more information. + """ + from ._array_object import Array + + # Note: unlike np.meshgrid, only inputs with all the same dtype are + # allowed + + if len({a.dtype for a in arrays}) > 1: + raise ValueError("meshgrid inputs must all have the same dtype") + + return [ + Array._new(array) + for array in np.meshgrid(*[a._array for a in arrays], indexing=indexing) + ] + + +def ones( + shape: Union[int, Tuple[int, ...]], + *, + dtype: Optional[Dtype] = None, + device: Optional[Device] = None, +) -> Array: + """ + Array API compatible wrapper for :py:func:`np.ones `. + + See its docstring for more information. + """ + from ._array_object import Array + + _check_valid_dtype(dtype) + if device not in ["cpu", None]: + raise ValueError(f"Unsupported device {device!r}") + return Array._new(np.ones(shape, dtype=dtype)) + + +def ones_like( + x: Array, /, *, dtype: Optional[Dtype] = None, device: Optional[Device] = None +) -> Array: + """ + Array API compatible wrapper for :py:func:`np.ones_like `. + + See its docstring for more information. + """ + from ._array_object import Array + + _check_valid_dtype(dtype) + if device not in ["cpu", None]: + raise ValueError(f"Unsupported device {device!r}") + return Array._new(np.ones_like(x._array, dtype=dtype)) + + +def tril(x: Array, /, *, k: int = 0) -> Array: + """ + Array API compatible wrapper for :py:func:`np.tril `. + + See its docstring for more information. + """ + from ._array_object import Array + + if x.ndim < 2: + # Note: Unlike np.tril, x must be at least 2-D + raise ValueError("x must be at least 2-dimensional for tril") + return Array._new(np.tril(x._array, k=k)) + + +def triu(x: Array, /, *, k: int = 0) -> Array: + """ + Array API compatible wrapper for :py:func:`np.triu `. + + See its docstring for more information. + """ + from ._array_object import Array + + if x.ndim < 2: + # Note: Unlike np.triu, x must be at least 2-D + raise ValueError("x must be at least 2-dimensional for triu") + return Array._new(np.triu(x._array, k=k)) + + +def zeros( + shape: Union[int, Tuple[int, ...]], + *, + dtype: Optional[Dtype] = None, + device: Optional[Device] = None, +) -> Array: + """ + Array API compatible wrapper for :py:func:`np.zeros `. + + See its docstring for more information. + """ + from ._array_object import Array + + _check_valid_dtype(dtype) + if device not in ["cpu", None]: + raise ValueError(f"Unsupported device {device!r}") + return Array._new(np.zeros(shape, dtype=dtype)) + + +def zeros_like( + x: Array, /, *, dtype: Optional[Dtype] = None, device: Optional[Device] = None +) -> Array: + """ + Array API compatible wrapper for :py:func:`np.zeros_like `. + + See its docstring for more information. + """ + from ._array_object import Array + + _check_valid_dtype(dtype) + if device not in ["cpu", None]: + raise ValueError(f"Unsupported device {device!r}") + return Array._new(np.zeros_like(x._array, dtype=dtype)) diff --git a/lib/python3.12/site-packages/numpy/array_api/_data_type_functions.py b/lib/python3.12/site-packages/numpy/array_api/_data_type_functions.py new file mode 100644 index 0000000000000000000000000000000000000000..6f972c3b54244fdedf2bf2ce77f91c173c09b540 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/array_api/_data_type_functions.py @@ -0,0 +1,197 @@ +from __future__ import annotations + +from ._array_object import Array +from ._dtypes import ( + _all_dtypes, + _boolean_dtypes, + _signed_integer_dtypes, + _unsigned_integer_dtypes, + _integer_dtypes, + _real_floating_dtypes, + _complex_floating_dtypes, + _numeric_dtypes, + _result_type, +) + +from dataclasses import dataclass +from typing import TYPE_CHECKING, List, Tuple, Union + +if TYPE_CHECKING: + from ._typing import Dtype + from collections.abc import Sequence + +import numpy as np + + +# Note: astype is a function, not an array method as in NumPy. +def astype(x: Array, dtype: Dtype, /, *, copy: bool = True) -> Array: + if not copy and dtype == x.dtype: + return x + return Array._new(x._array.astype(dtype=dtype, copy=copy)) + + +def broadcast_arrays(*arrays: Array) -> List[Array]: + """ + Array API compatible wrapper for :py:func:`np.broadcast_arrays `. + + See its docstring for more information. + """ + from ._array_object import Array + + return [ + Array._new(array) for array in np.broadcast_arrays(*[a._array for a in arrays]) + ] + + +def broadcast_to(x: Array, /, shape: Tuple[int, ...]) -> Array: + """ + Array API compatible wrapper for :py:func:`np.broadcast_to `. + + See its docstring for more information. + """ + from ._array_object import Array + + return Array._new(np.broadcast_to(x._array, shape)) + + +def can_cast(from_: Union[Dtype, Array], to: Dtype, /) -> bool: + """ + Array API compatible wrapper for :py:func:`np.can_cast `. + + See its docstring for more information. + """ + if isinstance(from_, Array): + from_ = from_.dtype + elif from_ not in _all_dtypes: + raise TypeError(f"{from_=}, but should be an array_api array or dtype") + if to not in _all_dtypes: + raise TypeError(f"{to=}, but should be a dtype") + # Note: We avoid np.can_cast() as it has discrepancies with the array API, + # since NumPy allows cross-kind casting (e.g., NumPy allows bool -> int8). + # See https://github.com/numpy/numpy/issues/20870 + try: + # We promote `from_` and `to` together. We then check if the promoted + # dtype is `to`, which indicates if `from_` can (up)cast to `to`. + dtype = _result_type(from_, to) + return to == dtype + except TypeError: + # _result_type() raises if the dtypes don't promote together + return False + + +# These are internal objects for the return types of finfo and iinfo, since +# the NumPy versions contain extra data that isn't part of the spec. +@dataclass +class finfo_object: + bits: int + # Note: The types of the float data here are float, whereas in NumPy they + # are scalars of the corresponding float dtype. + eps: float + max: float + min: float + smallest_normal: float + dtype: Dtype + + +@dataclass +class iinfo_object: + bits: int + max: int + min: int + dtype: Dtype + + +def finfo(type: Union[Dtype, Array], /) -> finfo_object: + """ + Array API compatible wrapper for :py:func:`np.finfo `. + + See its docstring for more information. + """ + fi = np.finfo(type) + # Note: The types of the float data here are float, whereas in NumPy they + # are scalars of the corresponding float dtype. + return finfo_object( + fi.bits, + float(fi.eps), + float(fi.max), + float(fi.min), + float(fi.smallest_normal), + fi.dtype, + ) + + +def iinfo(type: Union[Dtype, Array], /) -> iinfo_object: + """ + Array API compatible wrapper for :py:func:`np.iinfo `. + + See its docstring for more information. + """ + ii = np.iinfo(type) + return iinfo_object(ii.bits, ii.max, ii.min, ii.dtype) + + +# Note: isdtype is a new function from the 2022.12 array API specification. +def isdtype( + dtype: Dtype, kind: Union[Dtype, str, Tuple[Union[Dtype, str], ...]] +) -> bool: + """ + Returns a boolean indicating whether a provided dtype is of a specified data type ``kind``. + + See + https://data-apis.org/array-api/latest/API_specification/generated/array_api.isdtype.html + for more details + """ + if isinstance(kind, tuple): + # Disallow nested tuples + if any(isinstance(k, tuple) for k in kind): + raise TypeError("'kind' must be a dtype, str, or tuple of dtypes and strs") + return any(isdtype(dtype, k) for k in kind) + elif isinstance(kind, str): + if kind == 'bool': + return dtype in _boolean_dtypes + elif kind == 'signed integer': + return dtype in _signed_integer_dtypes + elif kind == 'unsigned integer': + return dtype in _unsigned_integer_dtypes + elif kind == 'integral': + return dtype in _integer_dtypes + elif kind == 'real floating': + return dtype in _real_floating_dtypes + elif kind == 'complex floating': + return dtype in _complex_floating_dtypes + elif kind == 'numeric': + return dtype in _numeric_dtypes + else: + raise ValueError(f"Unrecognized data type kind: {kind!r}") + elif kind in _all_dtypes: + return dtype == kind + else: + raise TypeError(f"'kind' must be a dtype, str, or tuple of dtypes and strs, not {type(kind).__name__}") + +def result_type(*arrays_and_dtypes: Union[Array, Dtype]) -> Dtype: + """ + Array API compatible wrapper for :py:func:`np.result_type `. + + See its docstring for more information. + """ + # Note: we use a custom implementation that gives only the type promotions + # required by the spec rather than using np.result_type. NumPy implements + # too many extra type promotions like int64 + uint64 -> float64, and does + # value-based casting on scalar arrays. + A = [] + for a in arrays_and_dtypes: + if isinstance(a, Array): + a = a.dtype + elif isinstance(a, np.ndarray) or a not in _all_dtypes: + raise TypeError("result_type() inputs must be array_api arrays or dtypes") + A.append(a) + + if len(A) == 0: + raise ValueError("at least one array or dtype is required") + elif len(A) == 1: + return A[0] + else: + t = A[0] + for t2 in A[1:]: + t = _result_type(t, t2) + return t diff --git a/lib/python3.12/site-packages/numpy/array_api/_dtypes.py b/lib/python3.12/site-packages/numpy/array_api/_dtypes.py new file mode 100644 index 0000000000000000000000000000000000000000..0e8f666eeeddb1e78f4c0d0437971bfa66fea887 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/array_api/_dtypes.py @@ -0,0 +1,180 @@ +import numpy as np + +# Note: we use dtype objects instead of dtype classes. The spec does not +# require any behavior on dtypes other than equality. +int8 = np.dtype("int8") +int16 = np.dtype("int16") +int32 = np.dtype("int32") +int64 = np.dtype("int64") +uint8 = np.dtype("uint8") +uint16 = np.dtype("uint16") +uint32 = np.dtype("uint32") +uint64 = np.dtype("uint64") +float32 = np.dtype("float32") +float64 = np.dtype("float64") +complex64 = np.dtype("complex64") +complex128 = np.dtype("complex128") +# Note: This name is changed +bool = np.dtype("bool") + +_all_dtypes = ( + int8, + int16, + int32, + int64, + uint8, + uint16, + uint32, + uint64, + float32, + float64, + complex64, + complex128, + bool, +) +_boolean_dtypes = (bool,) +_real_floating_dtypes = (float32, float64) +_floating_dtypes = (float32, float64, complex64, complex128) +_complex_floating_dtypes = (complex64, complex128) +_integer_dtypes = (int8, int16, int32, int64, uint8, uint16, uint32, uint64) +_signed_integer_dtypes = (int8, int16, int32, int64) +_unsigned_integer_dtypes = (uint8, uint16, uint32, uint64) +_integer_or_boolean_dtypes = ( + bool, + int8, + int16, + int32, + int64, + uint8, + uint16, + uint32, + uint64, +) +_real_numeric_dtypes = ( + float32, + float64, + int8, + int16, + int32, + int64, + uint8, + uint16, + uint32, + uint64, +) +_numeric_dtypes = ( + float32, + float64, + complex64, + complex128, + int8, + int16, + int32, + int64, + uint8, + uint16, + uint32, + uint64, +) + +_dtype_categories = { + "all": _all_dtypes, + "real numeric": _real_numeric_dtypes, + "numeric": _numeric_dtypes, + "integer": _integer_dtypes, + "integer or boolean": _integer_or_boolean_dtypes, + "boolean": _boolean_dtypes, + "real floating-point": _floating_dtypes, + "complex floating-point": _complex_floating_dtypes, + "floating-point": _floating_dtypes, +} + + +# Note: the spec defines a restricted type promotion table compared to NumPy. +# In particular, cross-kind promotions like integer + float or boolean + +# integer are not allowed, even for functions that accept both kinds. +# Additionally, NumPy promotes signed integer + uint64 to float64, but this +# promotion is not allowed here. To be clear, Python scalar int objects are +# allowed to promote to floating-point dtypes, but only in array operators +# (see Array._promote_scalar) method in _array_object.py. +_promotion_table = { + (int8, int8): int8, + (int8, int16): int16, + (int8, int32): int32, + (int8, int64): int64, + (int16, int8): int16, + (int16, int16): int16, + (int16, int32): int32, + (int16, int64): int64, + (int32, int8): int32, + (int32, int16): int32, + (int32, int32): int32, + (int32, int64): int64, + (int64, int8): int64, + (int64, int16): int64, + (int64, int32): int64, + (int64, int64): int64, + (uint8, uint8): uint8, + (uint8, uint16): uint16, + (uint8, uint32): uint32, + (uint8, uint64): uint64, + (uint16, uint8): uint16, + (uint16, uint16): uint16, + (uint16, uint32): uint32, + (uint16, uint64): uint64, + (uint32, uint8): uint32, + (uint32, uint16): uint32, + (uint32, uint32): uint32, + (uint32, uint64): uint64, + (uint64, uint8): uint64, + (uint64, uint16): uint64, + (uint64, uint32): uint64, + (uint64, uint64): uint64, + (int8, uint8): int16, + (int8, uint16): int32, + (int8, uint32): int64, + (int16, uint8): int16, + (int16, uint16): int32, + (int16, uint32): int64, + (int32, uint8): int32, + (int32, uint16): int32, + (int32, uint32): int64, + (int64, uint8): int64, + (int64, uint16): int64, + (int64, uint32): int64, + (uint8, int8): int16, + (uint16, int8): int32, + (uint32, int8): int64, + (uint8, int16): int16, + (uint16, int16): int32, + (uint32, int16): int64, + (uint8, int32): int32, + (uint16, int32): int32, + (uint32, int32): int64, + (uint8, int64): int64, + (uint16, int64): int64, + (uint32, int64): int64, + (float32, float32): float32, + (float32, float64): float64, + (float64, float32): float64, + (float64, float64): float64, + (complex64, complex64): complex64, + (complex64, complex128): complex128, + (complex128, complex64): complex128, + (complex128, complex128): complex128, + (float32, complex64): complex64, + (float32, complex128): complex128, + (float64, complex64): complex128, + (float64, complex128): complex128, + (complex64, float32): complex64, + (complex64, float64): complex128, + (complex128, float32): complex128, + (complex128, float64): complex128, + (bool, bool): bool, +} + + +def _result_type(type1, type2): + if (type1, type2) in _promotion_table: + return _promotion_table[type1, type2] + raise TypeError(f"{type1} and {type2} cannot be type promoted together") diff --git a/lib/python3.12/site-packages/numpy/array_api/_elementwise_functions.py b/lib/python3.12/site-packages/numpy/array_api/_elementwise_functions.py new file mode 100644 index 0000000000000000000000000000000000000000..8b696772f6ddc86dec7a1740c53ee640aa762b3c --- /dev/null +++ b/lib/python3.12/site-packages/numpy/array_api/_elementwise_functions.py @@ -0,0 +1,765 @@ +from __future__ import annotations + +from ._dtypes import ( + _boolean_dtypes, + _floating_dtypes, + _real_floating_dtypes, + _complex_floating_dtypes, + _integer_dtypes, + _integer_or_boolean_dtypes, + _real_numeric_dtypes, + _numeric_dtypes, + _result_type, +) +from ._array_object import Array + +import numpy as np + + +def abs(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.abs `. + + See its docstring for more information. + """ + if x.dtype not in _numeric_dtypes: + raise TypeError("Only numeric dtypes are allowed in abs") + return Array._new(np.abs(x._array)) + + +# Note: the function name is different here +def acos(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.arccos `. + + See its docstring for more information. + """ + if x.dtype not in _floating_dtypes: + raise TypeError("Only floating-point dtypes are allowed in acos") + return Array._new(np.arccos(x._array)) + + +# Note: the function name is different here +def acosh(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.arccosh `. + + See its docstring for more information. + """ + if x.dtype not in _floating_dtypes: + raise TypeError("Only floating-point dtypes are allowed in acosh") + return Array._new(np.arccosh(x._array)) + + +def add(x1: Array, x2: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.add `. + + See its docstring for more information. + """ + if x1.dtype not in _numeric_dtypes or x2.dtype not in _numeric_dtypes: + raise TypeError("Only numeric dtypes are allowed in add") + # Call result type here just to raise on disallowed type combinations + _result_type(x1.dtype, x2.dtype) + x1, x2 = Array._normalize_two_args(x1, x2) + return Array._new(np.add(x1._array, x2._array)) + + +# Note: the function name is different here +def asin(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.arcsin `. + + See its docstring for more information. + """ + if x.dtype not in _floating_dtypes: + raise TypeError("Only floating-point dtypes are allowed in asin") + return Array._new(np.arcsin(x._array)) + + +# Note: the function name is different here +def asinh(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.arcsinh `. + + See its docstring for more information. + """ + if x.dtype not in _floating_dtypes: + raise TypeError("Only floating-point dtypes are allowed in asinh") + return Array._new(np.arcsinh(x._array)) + + +# Note: the function name is different here +def atan(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.arctan `. + + See its docstring for more information. + """ + if x.dtype not in _floating_dtypes: + raise TypeError("Only floating-point dtypes are allowed in atan") + return Array._new(np.arctan(x._array)) + + +# Note: the function name is different here +def atan2(x1: Array, x2: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.arctan2 `. + + See its docstring for more information. + """ + if x1.dtype not in _real_floating_dtypes or x2.dtype not in _real_floating_dtypes: + raise TypeError("Only real floating-point dtypes are allowed in atan2") + # Call result type here just to raise on disallowed type combinations + _result_type(x1.dtype, x2.dtype) + x1, x2 = Array._normalize_two_args(x1, x2) + return Array._new(np.arctan2(x1._array, x2._array)) + + +# Note: the function name is different here +def atanh(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.arctanh `. + + See its docstring for more information. + """ + if x.dtype not in _floating_dtypes: + raise TypeError("Only floating-point dtypes are allowed in atanh") + return Array._new(np.arctanh(x._array)) + + +def bitwise_and(x1: Array, x2: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.bitwise_and `. + + See its docstring for more information. + """ + if ( + x1.dtype not in _integer_or_boolean_dtypes + or x2.dtype not in _integer_or_boolean_dtypes + ): + raise TypeError("Only integer or boolean dtypes are allowed in bitwise_and") + # Call result type here just to raise on disallowed type combinations + _result_type(x1.dtype, x2.dtype) + x1, x2 = Array._normalize_two_args(x1, x2) + return Array._new(np.bitwise_and(x1._array, x2._array)) + + +# Note: the function name is different here +def bitwise_left_shift(x1: Array, x2: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.left_shift `. + + See its docstring for more information. + """ + if x1.dtype not in _integer_dtypes or x2.dtype not in _integer_dtypes: + raise TypeError("Only integer dtypes are allowed in bitwise_left_shift") + # Call result type here just to raise on disallowed type combinations + _result_type(x1.dtype, x2.dtype) + x1, x2 = Array._normalize_two_args(x1, x2) + # Note: bitwise_left_shift is only defined for x2 nonnegative. + if np.any(x2._array < 0): + raise ValueError("bitwise_left_shift(x1, x2) is only defined for x2 >= 0") + return Array._new(np.left_shift(x1._array, x2._array)) + + +# Note: the function name is different here +def bitwise_invert(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.invert `. + + See its docstring for more information. + """ + if x.dtype not in _integer_or_boolean_dtypes: + raise TypeError("Only integer or boolean dtypes are allowed in bitwise_invert") + return Array._new(np.invert(x._array)) + + +def bitwise_or(x1: Array, x2: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.bitwise_or `. + + See its docstring for more information. + """ + if ( + x1.dtype not in _integer_or_boolean_dtypes + or x2.dtype not in _integer_or_boolean_dtypes + ): + raise TypeError("Only integer or boolean dtypes are allowed in bitwise_or") + # Call result type here just to raise on disallowed type combinations + _result_type(x1.dtype, x2.dtype) + x1, x2 = Array._normalize_two_args(x1, x2) + return Array._new(np.bitwise_or(x1._array, x2._array)) + + +# Note: the function name is different here +def bitwise_right_shift(x1: Array, x2: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.right_shift `. + + See its docstring for more information. + """ + if x1.dtype not in _integer_dtypes or x2.dtype not in _integer_dtypes: + raise TypeError("Only integer dtypes are allowed in bitwise_right_shift") + # Call result type here just to raise on disallowed type combinations + _result_type(x1.dtype, x2.dtype) + x1, x2 = Array._normalize_two_args(x1, x2) + # Note: bitwise_right_shift is only defined for x2 nonnegative. + if np.any(x2._array < 0): + raise ValueError("bitwise_right_shift(x1, x2) is only defined for x2 >= 0") + return Array._new(np.right_shift(x1._array, x2._array)) + + +def bitwise_xor(x1: Array, x2: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.bitwise_xor `. + + See its docstring for more information. + """ + if ( + x1.dtype not in _integer_or_boolean_dtypes + or x2.dtype not in _integer_or_boolean_dtypes + ): + raise TypeError("Only integer or boolean dtypes are allowed in bitwise_xor") + # Call result type here just to raise on disallowed type combinations + _result_type(x1.dtype, x2.dtype) + x1, x2 = Array._normalize_two_args(x1, x2) + return Array._new(np.bitwise_xor(x1._array, x2._array)) + + +def ceil(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.ceil `. + + See its docstring for more information. + """ + if x.dtype not in _real_numeric_dtypes: + raise TypeError("Only real numeric dtypes are allowed in ceil") + if x.dtype in _integer_dtypes: + # Note: The return dtype of ceil is the same as the input + return x + return Array._new(np.ceil(x._array)) + + +def conj(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.conj `. + + See its docstring for more information. + """ + if x.dtype not in _complex_floating_dtypes: + raise TypeError("Only complex floating-point dtypes are allowed in conj") + return Array._new(np.conj(x)) + + +def cos(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.cos `. + + See its docstring for more information. + """ + if x.dtype not in _floating_dtypes: + raise TypeError("Only floating-point dtypes are allowed in cos") + return Array._new(np.cos(x._array)) + + +def cosh(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.cosh `. + + See its docstring for more information. + """ + if x.dtype not in _floating_dtypes: + raise TypeError("Only floating-point dtypes are allowed in cosh") + return Array._new(np.cosh(x._array)) + + +def divide(x1: Array, x2: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.divide `. + + See its docstring for more information. + """ + if x1.dtype not in _floating_dtypes or x2.dtype not in _floating_dtypes: + raise TypeError("Only floating-point dtypes are allowed in divide") + # Call result type here just to raise on disallowed type combinations + _result_type(x1.dtype, x2.dtype) + x1, x2 = Array._normalize_two_args(x1, x2) + return Array._new(np.divide(x1._array, x2._array)) + + +def equal(x1: Array, x2: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.equal `. + + See its docstring for more information. + """ + # Call result type here just to raise on disallowed type combinations + _result_type(x1.dtype, x2.dtype) + x1, x2 = Array._normalize_two_args(x1, x2) + return Array._new(np.equal(x1._array, x2._array)) + + +def exp(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.exp `. + + See its docstring for more information. + """ + if x.dtype not in _floating_dtypes: + raise TypeError("Only floating-point dtypes are allowed in exp") + return Array._new(np.exp(x._array)) + + +def expm1(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.expm1 `. + + See its docstring for more information. + """ + if x.dtype not in _floating_dtypes: + raise TypeError("Only floating-point dtypes are allowed in expm1") + return Array._new(np.expm1(x._array)) + + +def floor(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.floor `. + + See its docstring for more information. + """ + if x.dtype not in _real_numeric_dtypes: + raise TypeError("Only real numeric dtypes are allowed in floor") + if x.dtype in _integer_dtypes: + # Note: The return dtype of floor is the same as the input + return x + return Array._new(np.floor(x._array)) + + +def floor_divide(x1: Array, x2: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.floor_divide `. + + See its docstring for more information. + """ + if x1.dtype not in _real_numeric_dtypes or x2.dtype not in _real_numeric_dtypes: + raise TypeError("Only real numeric dtypes are allowed in floor_divide") + # Call result type here just to raise on disallowed type combinations + _result_type(x1.dtype, x2.dtype) + x1, x2 = Array._normalize_two_args(x1, x2) + return Array._new(np.floor_divide(x1._array, x2._array)) + + +def greater(x1: Array, x2: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.greater `. + + See its docstring for more information. + """ + if x1.dtype not in _real_numeric_dtypes or x2.dtype not in _real_numeric_dtypes: + raise TypeError("Only real numeric dtypes are allowed in greater") + # Call result type here just to raise on disallowed type combinations + _result_type(x1.dtype, x2.dtype) + x1, x2 = Array._normalize_two_args(x1, x2) + return Array._new(np.greater(x1._array, x2._array)) + + +def greater_equal(x1: Array, x2: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.greater_equal `. + + See its docstring for more information. + """ + if x1.dtype not in _real_numeric_dtypes or x2.dtype not in _real_numeric_dtypes: + raise TypeError("Only real numeric dtypes are allowed in greater_equal") + # Call result type here just to raise on disallowed type combinations + _result_type(x1.dtype, x2.dtype) + x1, x2 = Array._normalize_two_args(x1, x2) + return Array._new(np.greater_equal(x1._array, x2._array)) + + +def imag(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.imag `. + + See its docstring for more information. + """ + if x.dtype not in _complex_floating_dtypes: + raise TypeError("Only complex floating-point dtypes are allowed in imag") + return Array._new(np.imag(x)) + + +def isfinite(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.isfinite `. + + See its docstring for more information. + """ + if x.dtype not in _numeric_dtypes: + raise TypeError("Only numeric dtypes are allowed in isfinite") + return Array._new(np.isfinite(x._array)) + + +def isinf(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.isinf `. + + See its docstring for more information. + """ + if x.dtype not in _numeric_dtypes: + raise TypeError("Only numeric dtypes are allowed in isinf") + return Array._new(np.isinf(x._array)) + + +def isnan(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.isnan `. + + See its docstring for more information. + """ + if x.dtype not in _numeric_dtypes: + raise TypeError("Only numeric dtypes are allowed in isnan") + return Array._new(np.isnan(x._array)) + + +def less(x1: Array, x2: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.less `. + + See its docstring for more information. + """ + if x1.dtype not in _real_numeric_dtypes or x2.dtype not in _real_numeric_dtypes: + raise TypeError("Only real numeric dtypes are allowed in less") + # Call result type here just to raise on disallowed type combinations + _result_type(x1.dtype, x2.dtype) + x1, x2 = Array._normalize_two_args(x1, x2) + return Array._new(np.less(x1._array, x2._array)) + + +def less_equal(x1: Array, x2: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.less_equal `. + + See its docstring for more information. + """ + if x1.dtype not in _real_numeric_dtypes or x2.dtype not in _real_numeric_dtypes: + raise TypeError("Only real numeric dtypes are allowed in less_equal") + # Call result type here just to raise on disallowed type combinations + _result_type(x1.dtype, x2.dtype) + x1, x2 = Array._normalize_two_args(x1, x2) + return Array._new(np.less_equal(x1._array, x2._array)) + + +def log(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.log `. + + See its docstring for more information. + """ + if x.dtype not in _floating_dtypes: + raise TypeError("Only floating-point dtypes are allowed in log") + return Array._new(np.log(x._array)) + + +def log1p(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.log1p `. + + See its docstring for more information. + """ + if x.dtype not in _floating_dtypes: + raise TypeError("Only floating-point dtypes are allowed in log1p") + return Array._new(np.log1p(x._array)) + + +def log2(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.log2 `. + + See its docstring for more information. + """ + if x.dtype not in _floating_dtypes: + raise TypeError("Only floating-point dtypes are allowed in log2") + return Array._new(np.log2(x._array)) + + +def log10(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.log10 `. + + See its docstring for more information. + """ + if x.dtype not in _floating_dtypes: + raise TypeError("Only floating-point dtypes are allowed in log10") + return Array._new(np.log10(x._array)) + + +def logaddexp(x1: Array, x2: Array) -> Array: + """ + Array API compatible wrapper for :py:func:`np.logaddexp `. + + See its docstring for more information. + """ + if x1.dtype not in _real_floating_dtypes or x2.dtype not in _real_floating_dtypes: + raise TypeError("Only real floating-point dtypes are allowed in logaddexp") + # Call result type here just to raise on disallowed type combinations + _result_type(x1.dtype, x2.dtype) + x1, x2 = Array._normalize_two_args(x1, x2) + return Array._new(np.logaddexp(x1._array, x2._array)) + + +def logical_and(x1: Array, x2: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.logical_and `. + + See its docstring for more information. + """ + if x1.dtype not in _boolean_dtypes or x2.dtype not in _boolean_dtypes: + raise TypeError("Only boolean dtypes are allowed in logical_and") + # Call result type here just to raise on disallowed type combinations + _result_type(x1.dtype, x2.dtype) + x1, x2 = Array._normalize_two_args(x1, x2) + return Array._new(np.logical_and(x1._array, x2._array)) + + +def logical_not(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.logical_not `. + + See its docstring for more information. + """ + if x.dtype not in _boolean_dtypes: + raise TypeError("Only boolean dtypes are allowed in logical_not") + return Array._new(np.logical_not(x._array)) + + +def logical_or(x1: Array, x2: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.logical_or `. + + See its docstring for more information. + """ + if x1.dtype not in _boolean_dtypes or x2.dtype not in _boolean_dtypes: + raise TypeError("Only boolean dtypes are allowed in logical_or") + # Call result type here just to raise on disallowed type combinations + _result_type(x1.dtype, x2.dtype) + x1, x2 = Array._normalize_two_args(x1, x2) + return Array._new(np.logical_or(x1._array, x2._array)) + + +def logical_xor(x1: Array, x2: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.logical_xor `. + + See its docstring for more information. + """ + if x1.dtype not in _boolean_dtypes or x2.dtype not in _boolean_dtypes: + raise TypeError("Only boolean dtypes are allowed in logical_xor") + # Call result type here just to raise on disallowed type combinations + _result_type(x1.dtype, x2.dtype) + x1, x2 = Array._normalize_two_args(x1, x2) + return Array._new(np.logical_xor(x1._array, x2._array)) + + +def multiply(x1: Array, x2: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.multiply `. + + See its docstring for more information. + """ + if x1.dtype not in _numeric_dtypes or x2.dtype not in _numeric_dtypes: + raise TypeError("Only numeric dtypes are allowed in multiply") + # Call result type here just to raise on disallowed type combinations + _result_type(x1.dtype, x2.dtype) + x1, x2 = Array._normalize_two_args(x1, x2) + return Array._new(np.multiply(x1._array, x2._array)) + + +def negative(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.negative `. + + See its docstring for more information. + """ + if x.dtype not in _numeric_dtypes: + raise TypeError("Only numeric dtypes are allowed in negative") + return Array._new(np.negative(x._array)) + + +def not_equal(x1: Array, x2: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.not_equal `. + + See its docstring for more information. + """ + # Call result type here just to raise on disallowed type combinations + _result_type(x1.dtype, x2.dtype) + x1, x2 = Array._normalize_two_args(x1, x2) + return Array._new(np.not_equal(x1._array, x2._array)) + + +def positive(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.positive `. + + See its docstring for more information. + """ + if x.dtype not in _numeric_dtypes: + raise TypeError("Only numeric dtypes are allowed in positive") + return Array._new(np.positive(x._array)) + + +# Note: the function name is different here +def pow(x1: Array, x2: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.power `. + + See its docstring for more information. + """ + if x1.dtype not in _numeric_dtypes or x2.dtype not in _numeric_dtypes: + raise TypeError("Only numeric dtypes are allowed in pow") + # Call result type here just to raise on disallowed type combinations + _result_type(x1.dtype, x2.dtype) + x1, x2 = Array._normalize_two_args(x1, x2) + return Array._new(np.power(x1._array, x2._array)) + + +def real(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.real `. + + See its docstring for more information. + """ + if x.dtype not in _complex_floating_dtypes: + raise TypeError("Only complex floating-point dtypes are allowed in real") + return Array._new(np.real(x)) + + +def remainder(x1: Array, x2: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.remainder `. + + See its docstring for more information. + """ + if x1.dtype not in _real_numeric_dtypes or x2.dtype not in _real_numeric_dtypes: + raise TypeError("Only real numeric dtypes are allowed in remainder") + # Call result type here just to raise on disallowed type combinations + _result_type(x1.dtype, x2.dtype) + x1, x2 = Array._normalize_two_args(x1, x2) + return Array._new(np.remainder(x1._array, x2._array)) + + +def round(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.round `. + + See its docstring for more information. + """ + if x.dtype not in _numeric_dtypes: + raise TypeError("Only numeric dtypes are allowed in round") + return Array._new(np.round(x._array)) + + +def sign(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.sign `. + + See its docstring for more information. + """ + if x.dtype not in _numeric_dtypes: + raise TypeError("Only numeric dtypes are allowed in sign") + return Array._new(np.sign(x._array)) + + +def sin(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.sin `. + + See its docstring for more information. + """ + if x.dtype not in _floating_dtypes: + raise TypeError("Only floating-point dtypes are allowed in sin") + return Array._new(np.sin(x._array)) + + +def sinh(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.sinh `. + + See its docstring for more information. + """ + if x.dtype not in _floating_dtypes: + raise TypeError("Only floating-point dtypes are allowed in sinh") + return Array._new(np.sinh(x._array)) + + +def square(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.square `. + + See its docstring for more information. + """ + if x.dtype not in _numeric_dtypes: + raise TypeError("Only numeric dtypes are allowed in square") + return Array._new(np.square(x._array)) + + +def sqrt(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.sqrt `. + + See its docstring for more information. + """ + if x.dtype not in _floating_dtypes: + raise TypeError("Only floating-point dtypes are allowed in sqrt") + return Array._new(np.sqrt(x._array)) + + +def subtract(x1: Array, x2: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.subtract `. + + See its docstring for more information. + """ + if x1.dtype not in _numeric_dtypes or x2.dtype not in _numeric_dtypes: + raise TypeError("Only numeric dtypes are allowed in subtract") + # Call result type here just to raise on disallowed type combinations + _result_type(x1.dtype, x2.dtype) + x1, x2 = Array._normalize_two_args(x1, x2) + return Array._new(np.subtract(x1._array, x2._array)) + + +def tan(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.tan `. + + See its docstring for more information. + """ + if x.dtype not in _floating_dtypes: + raise TypeError("Only floating-point dtypes are allowed in tan") + return Array._new(np.tan(x._array)) + + +def tanh(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.tanh `. + + See its docstring for more information. + """ + if x.dtype not in _floating_dtypes: + raise TypeError("Only floating-point dtypes are allowed in tanh") + return Array._new(np.tanh(x._array)) + + +def trunc(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.trunc `. + + See its docstring for more information. + """ + if x.dtype not in _real_numeric_dtypes: + raise TypeError("Only real numeric dtypes are allowed in trunc") + if x.dtype in _integer_dtypes: + # Note: The return dtype of trunc is the same as the input + return x + return Array._new(np.trunc(x._array)) diff --git a/lib/python3.12/site-packages/numpy/array_api/_indexing_functions.py b/lib/python3.12/site-packages/numpy/array_api/_indexing_functions.py new file mode 100644 index 0000000000000000000000000000000000000000..baf23f7f0b6982115500fa95360d0ca4d2a1caf8 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/array_api/_indexing_functions.py @@ -0,0 +1,20 @@ +from __future__ import annotations + +from ._array_object import Array +from ._dtypes import _integer_dtypes + +import numpy as np + +def take(x: Array, indices: Array, /, *, axis: Optional[int] = None) -> Array: + """ + Array API compatible wrapper for :py:func:`np.take `. + + See its docstring for more information. + """ + if axis is None and x.ndim != 1: + raise ValueError("axis must be specified when ndim > 1") + if indices.dtype not in _integer_dtypes: + raise TypeError("Only integer dtypes are allowed in indexing") + if indices.ndim != 1: + raise ValueError("Only 1-dim indices array is supported") + return Array._new(np.take(x._array, indices._array, axis=axis)) diff --git a/lib/python3.12/site-packages/numpy/array_api/_manipulation_functions.py b/lib/python3.12/site-packages/numpy/array_api/_manipulation_functions.py new file mode 100644 index 0000000000000000000000000000000000000000..556bde7d0b07c14a3f7c35c57859b6fe253f8c18 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/array_api/_manipulation_functions.py @@ -0,0 +1,112 @@ +from __future__ import annotations + +from ._array_object import Array +from ._data_type_functions import result_type + +from typing import List, Optional, Tuple, Union + +import numpy as np + +# Note: the function name is different here +def concat( + arrays: Union[Tuple[Array, ...], List[Array]], /, *, axis: Optional[int] = 0 +) -> Array: + """ + Array API compatible wrapper for :py:func:`np.concatenate `. + + See its docstring for more information. + """ + # Note: Casting rules here are different from the np.concatenate default + # (no for scalars with axis=None, no cross-kind casting) + dtype = result_type(*arrays) + arrays = tuple(a._array for a in arrays) + return Array._new(np.concatenate(arrays, axis=axis, dtype=dtype)) + + +def expand_dims(x: Array, /, *, axis: int) -> Array: + """ + Array API compatible wrapper for :py:func:`np.expand_dims `. + + See its docstring for more information. + """ + return Array._new(np.expand_dims(x._array, axis)) + + +def flip(x: Array, /, *, axis: Optional[Union[int, Tuple[int, ...]]] = None) -> Array: + """ + Array API compatible wrapper for :py:func:`np.flip `. + + See its docstring for more information. + """ + return Array._new(np.flip(x._array, axis=axis)) + + +# Note: The function name is different here (see also matrix_transpose). +# Unlike transpose(), the axes argument is required. +def permute_dims(x: Array, /, axes: Tuple[int, ...]) -> Array: + """ + Array API compatible wrapper for :py:func:`np.transpose `. + + See its docstring for more information. + """ + return Array._new(np.transpose(x._array, axes)) + + +# Note: the optional argument is called 'shape', not 'newshape' +def reshape(x: Array, + /, + shape: Tuple[int, ...], + *, + copy: Optional[Bool] = None) -> Array: + """ + Array API compatible wrapper for :py:func:`np.reshape `. + + See its docstring for more information. + """ + + data = x._array + if copy: + data = np.copy(data) + + reshaped = np.reshape(data, shape) + + if copy is False and not np.shares_memory(data, reshaped): + raise AttributeError("Incompatible shape for in-place modification.") + + return Array._new(reshaped) + + +def roll( + x: Array, + /, + shift: Union[int, Tuple[int, ...]], + *, + axis: Optional[Union[int, Tuple[int, ...]]] = None, +) -> Array: + """ + Array API compatible wrapper for :py:func:`np.roll `. + + See its docstring for more information. + """ + return Array._new(np.roll(x._array, shift, axis=axis)) + + +def squeeze(x: Array, /, axis: Union[int, Tuple[int, ...]]) -> Array: + """ + Array API compatible wrapper for :py:func:`np.squeeze `. + + See its docstring for more information. + """ + return Array._new(np.squeeze(x._array, axis=axis)) + + +def stack(arrays: Union[Tuple[Array, ...], List[Array]], /, *, axis: int = 0) -> Array: + """ + Array API compatible wrapper for :py:func:`np.stack `. + + See its docstring for more information. + """ + # Call result type here just to raise on disallowed type combinations + result_type(*arrays) + arrays = tuple(a._array for a in arrays) + return Array._new(np.stack(arrays, axis=axis)) diff --git a/lib/python3.12/site-packages/numpy/array_api/_searching_functions.py b/lib/python3.12/site-packages/numpy/array_api/_searching_functions.py new file mode 100644 index 0000000000000000000000000000000000000000..a1f4b0c904c11834b4ccbcf202b639628c8aaf5c --- /dev/null +++ b/lib/python3.12/site-packages/numpy/array_api/_searching_functions.py @@ -0,0 +1,51 @@ +from __future__ import annotations + +from ._array_object import Array +from ._dtypes import _result_type, _real_numeric_dtypes + +from typing import Optional, Tuple + +import numpy as np + + +def argmax(x: Array, /, *, axis: Optional[int] = None, keepdims: bool = False) -> Array: + """ + Array API compatible wrapper for :py:func:`np.argmax `. + + See its docstring for more information. + """ + if x.dtype not in _real_numeric_dtypes: + raise TypeError("Only real numeric dtypes are allowed in argmax") + return Array._new(np.asarray(np.argmax(x._array, axis=axis, keepdims=keepdims))) + + +def argmin(x: Array, /, *, axis: Optional[int] = None, keepdims: bool = False) -> Array: + """ + Array API compatible wrapper for :py:func:`np.argmin `. + + See its docstring for more information. + """ + if x.dtype not in _real_numeric_dtypes: + raise TypeError("Only real numeric dtypes are allowed in argmin") + return Array._new(np.asarray(np.argmin(x._array, axis=axis, keepdims=keepdims))) + + +def nonzero(x: Array, /) -> Tuple[Array, ...]: + """ + Array API compatible wrapper for :py:func:`np.nonzero `. + + See its docstring for more information. + """ + return tuple(Array._new(i) for i in np.nonzero(x._array)) + + +def where(condition: Array, x1: Array, x2: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.where `. + + See its docstring for more information. + """ + # Call result type here just to raise on disallowed type combinations + _result_type(x1.dtype, x2.dtype) + x1, x2 = Array._normalize_two_args(x1, x2) + return Array._new(np.where(condition._array, x1._array, x2._array)) diff --git a/lib/python3.12/site-packages/numpy/array_api/_set_functions.py b/lib/python3.12/site-packages/numpy/array_api/_set_functions.py new file mode 100644 index 0000000000000000000000000000000000000000..0b4132cf87f88eba6285bac76f6cfb8aad0b413e --- /dev/null +++ b/lib/python3.12/site-packages/numpy/array_api/_set_functions.py @@ -0,0 +1,106 @@ +from __future__ import annotations + +from ._array_object import Array + +from typing import NamedTuple + +import numpy as np + +# Note: np.unique() is split into four functions in the array API: +# unique_all, unique_counts, unique_inverse, and unique_values (this is done +# to remove polymorphic return types). + +# Note: The various unique() functions are supposed to return multiple NaNs. +# This does not match the NumPy behavior, however, this is currently left as a +# TODO in this implementation as this behavior may be reverted in np.unique(). +# See https://github.com/numpy/numpy/issues/20326. + +# Note: The functions here return a namedtuple (np.unique() returns a normal +# tuple). + +class UniqueAllResult(NamedTuple): + values: Array + indices: Array + inverse_indices: Array + counts: Array + + +class UniqueCountsResult(NamedTuple): + values: Array + counts: Array + + +class UniqueInverseResult(NamedTuple): + values: Array + inverse_indices: Array + + +def unique_all(x: Array, /) -> UniqueAllResult: + """ + Array API compatible wrapper for :py:func:`np.unique `. + + See its docstring for more information. + """ + values, indices, inverse_indices, counts = np.unique( + x._array, + return_counts=True, + return_index=True, + return_inverse=True, + equal_nan=False, + ) + # np.unique() flattens inverse indices, but they need to share x's shape + # See https://github.com/numpy/numpy/issues/20638 + inverse_indices = inverse_indices.reshape(x.shape) + return UniqueAllResult( + Array._new(values), + Array._new(indices), + Array._new(inverse_indices), + Array._new(counts), + ) + + +def unique_counts(x: Array, /) -> UniqueCountsResult: + res = np.unique( + x._array, + return_counts=True, + return_index=False, + return_inverse=False, + equal_nan=False, + ) + + return UniqueCountsResult(*[Array._new(i) for i in res]) + + +def unique_inverse(x: Array, /) -> UniqueInverseResult: + """ + Array API compatible wrapper for :py:func:`np.unique `. + + See its docstring for more information. + """ + values, inverse_indices = np.unique( + x._array, + return_counts=False, + return_index=False, + return_inverse=True, + equal_nan=False, + ) + # np.unique() flattens inverse indices, but they need to share x's shape + # See https://github.com/numpy/numpy/issues/20638 + inverse_indices = inverse_indices.reshape(x.shape) + return UniqueInverseResult(Array._new(values), Array._new(inverse_indices)) + + +def unique_values(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.unique `. + + See its docstring for more information. + """ + res = np.unique( + x._array, + return_counts=False, + return_index=False, + return_inverse=False, + equal_nan=False, + ) + return Array._new(res) diff --git a/lib/python3.12/site-packages/numpy/array_api/_sorting_functions.py b/lib/python3.12/site-packages/numpy/array_api/_sorting_functions.py new file mode 100644 index 0000000000000000000000000000000000000000..9b8cb044d88a992da63d6e1a68c5b4c998a49680 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/array_api/_sorting_functions.py @@ -0,0 +1,54 @@ +from __future__ import annotations + +from ._array_object import Array +from ._dtypes import _real_numeric_dtypes + +import numpy as np + + +# Note: the descending keyword argument is new in this function +def argsort( + x: Array, /, *, axis: int = -1, descending: bool = False, stable: bool = True +) -> Array: + """ + Array API compatible wrapper for :py:func:`np.argsort `. + + See its docstring for more information. + """ + if x.dtype not in _real_numeric_dtypes: + raise TypeError("Only real numeric dtypes are allowed in argsort") + # Note: this keyword argument is different, and the default is different. + kind = "stable" if stable else "quicksort" + if not descending: + res = np.argsort(x._array, axis=axis, kind=kind) + else: + # As NumPy has no native descending sort, we imitate it here. Note that + # simply flipping the results of np.argsort(x._array, ...) would not + # respect the relative order like it would in native descending sorts. + res = np.flip( + np.argsort(np.flip(x._array, axis=axis), axis=axis, kind=kind), + axis=axis, + ) + # Rely on flip()/argsort() to validate axis + normalised_axis = axis if axis >= 0 else x.ndim + axis + max_i = x.shape[normalised_axis] - 1 + res = max_i - res + return Array._new(res) + +# Note: the descending keyword argument is new in this function +def sort( + x: Array, /, *, axis: int = -1, descending: bool = False, stable: bool = True +) -> Array: + """ + Array API compatible wrapper for :py:func:`np.sort `. + + See its docstring for more information. + """ + if x.dtype not in _real_numeric_dtypes: + raise TypeError("Only real numeric dtypes are allowed in sort") + # Note: this keyword argument is different, and the default is different. + kind = "stable" if stable else "quicksort" + res = np.sort(x._array, axis=axis, kind=kind) + if descending: + res = np.flip(res, axis=axis) + return Array._new(res) diff --git a/lib/python3.12/site-packages/numpy/array_api/_statistical_functions.py b/lib/python3.12/site-packages/numpy/array_api/_statistical_functions.py new file mode 100644 index 0000000000000000000000000000000000000000..98e31b51c115511d2a00f1a8f330246e81f0605d --- /dev/null +++ b/lib/python3.12/site-packages/numpy/array_api/_statistical_functions.py @@ -0,0 +1,122 @@ +from __future__ import annotations + +from ._dtypes import ( + _real_floating_dtypes, + _real_numeric_dtypes, + _numeric_dtypes, +) +from ._array_object import Array +from ._dtypes import float32, float64, complex64, complex128 + +from typing import TYPE_CHECKING, Optional, Tuple, Union + +if TYPE_CHECKING: + from ._typing import Dtype + +import numpy as np + + +def max( + x: Array, + /, + *, + axis: Optional[Union[int, Tuple[int, ...]]] = None, + keepdims: bool = False, +) -> Array: + if x.dtype not in _real_numeric_dtypes: + raise TypeError("Only real numeric dtypes are allowed in max") + return Array._new(np.max(x._array, axis=axis, keepdims=keepdims)) + + +def mean( + x: Array, + /, + *, + axis: Optional[Union[int, Tuple[int, ...]]] = None, + keepdims: bool = False, +) -> Array: + if x.dtype not in _real_floating_dtypes: + raise TypeError("Only real floating-point dtypes are allowed in mean") + return Array._new(np.mean(x._array, axis=axis, keepdims=keepdims)) + + +def min( + x: Array, + /, + *, + axis: Optional[Union[int, Tuple[int, ...]]] = None, + keepdims: bool = False, +) -> Array: + if x.dtype not in _real_numeric_dtypes: + raise TypeError("Only real numeric dtypes are allowed in min") + return Array._new(np.min(x._array, axis=axis, keepdims=keepdims)) + + +def prod( + x: Array, + /, + *, + axis: Optional[Union[int, Tuple[int, ...]]] = None, + dtype: Optional[Dtype] = None, + keepdims: bool = False, +) -> Array: + if x.dtype not in _numeric_dtypes: + raise TypeError("Only numeric dtypes are allowed in prod") + # Note: sum() and prod() always upcast for dtype=None. `np.prod` does that + # for integers, but not for float32 or complex64, so we need to + # special-case it here + if dtype is None: + if x.dtype == float32: + dtype = float64 + elif x.dtype == complex64: + dtype = complex128 + return Array._new(np.prod(x._array, dtype=dtype, axis=axis, keepdims=keepdims)) + + +def std( + x: Array, + /, + *, + axis: Optional[Union[int, Tuple[int, ...]]] = None, + correction: Union[int, float] = 0.0, + keepdims: bool = False, +) -> Array: + # Note: the keyword argument correction is different here + if x.dtype not in _real_floating_dtypes: + raise TypeError("Only real floating-point dtypes are allowed in std") + return Array._new(np.std(x._array, axis=axis, ddof=correction, keepdims=keepdims)) + + +def sum( + x: Array, + /, + *, + axis: Optional[Union[int, Tuple[int, ...]]] = None, + dtype: Optional[Dtype] = None, + keepdims: bool = False, +) -> Array: + if x.dtype not in _numeric_dtypes: + raise TypeError("Only numeric dtypes are allowed in sum") + # Note: sum() and prod() always upcast for dtype=None. `np.sum` does that + # for integers, but not for float32 or complex64, so we need to + # special-case it here + if dtype is None: + if x.dtype == float32: + dtype = float64 + elif x.dtype == complex64: + dtype = complex128 + return Array._new(np.sum(x._array, axis=axis, dtype=dtype, keepdims=keepdims)) + + +def var( + x: Array, + /, + *, + axis: Optional[Union[int, Tuple[int, ...]]] = None, + correction: Union[int, float] = 0.0, + keepdims: bool = False, +) -> Array: + # Note: the keyword argument correction is different here + if x.dtype not in _real_floating_dtypes: + raise TypeError("Only real floating-point dtypes are allowed in var") + return Array._new(np.var(x._array, axis=axis, ddof=correction, keepdims=keepdims)) diff --git a/lib/python3.12/site-packages/numpy/array_api/_typing.py b/lib/python3.12/site-packages/numpy/array_api/_typing.py new file mode 100644 index 0000000000000000000000000000000000000000..e63a375b5f6696fc9ba639c8d355d1b1840273bb --- /dev/null +++ b/lib/python3.12/site-packages/numpy/array_api/_typing.py @@ -0,0 +1,76 @@ +""" +This file defines the types for type annotations. + +These names aren't part of the module namespace, but they are used in the +annotations in the function signatures. The functions in the module are only +valid for inputs that match the given type annotations. +""" + +from __future__ import annotations + +__all__ = [ + "Array", + "Device", + "Dtype", + "SupportsDLPack", + "SupportsBufferProtocol", + "PyCapsule", +] + +import sys + +from typing import ( + Any, + Literal, + Sequence, + Type, + Union, + TypeVar, + Protocol, +) + +from ._array_object import Array +from numpy import ( + dtype, + int8, + int16, + int32, + int64, + uint8, + uint16, + uint32, + uint64, + float32, + float64, +) + +_T_co = TypeVar("_T_co", covariant=True) + +class NestedSequence(Protocol[_T_co]): + def __getitem__(self, key: int, /) -> _T_co | NestedSequence[_T_co]: ... + def __len__(self, /) -> int: ... + +Device = Literal["cpu"] + +Dtype = dtype[Union[ + int8, + int16, + int32, + int64, + uint8, + uint16, + uint32, + uint64, + float32, + float64, +]] + +if sys.version_info >= (3, 12): + from collections.abc import Buffer as SupportsBufferProtocol +else: + SupportsBufferProtocol = Any + +PyCapsule = Any + +class SupportsDLPack(Protocol): + def __dlpack__(self, /, *, stream: None = ...) -> PyCapsule: ... diff --git a/lib/python3.12/site-packages/numpy/array_api/_utility_functions.py b/lib/python3.12/site-packages/numpy/array_api/_utility_functions.py new file mode 100644 index 0000000000000000000000000000000000000000..5ecb4bd9fef732bf5ca6aeec38ce2e7557ed19c2 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/array_api/_utility_functions.py @@ -0,0 +1,37 @@ +from __future__ import annotations + +from ._array_object import Array + +from typing import Optional, Tuple, Union + +import numpy as np + + +def all( + x: Array, + /, + *, + axis: Optional[Union[int, Tuple[int, ...]]] = None, + keepdims: bool = False, +) -> Array: + """ + Array API compatible wrapper for :py:func:`np.all `. + + See its docstring for more information. + """ + return Array._new(np.asarray(np.all(x._array, axis=axis, keepdims=keepdims))) + + +def any( + x: Array, + /, + *, + axis: Optional[Union[int, Tuple[int, ...]]] = None, + keepdims: bool = False, +) -> Array: + """ + Array API compatible wrapper for :py:func:`np.any `. + + See its docstring for more information. + """ + return Array._new(np.asarray(np.any(x._array, axis=axis, keepdims=keepdims))) diff --git a/lib/python3.12/site-packages/numpy/array_api/linalg.py b/lib/python3.12/site-packages/numpy/array_api/linalg.py new file mode 100644 index 0000000000000000000000000000000000000000..c18360f6e6f92ff1389b4edf1c786731f3fbef22 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/array_api/linalg.py @@ -0,0 +1,466 @@ +from __future__ import annotations + +from ._dtypes import ( + _floating_dtypes, + _numeric_dtypes, + float32, + float64, + complex64, + complex128 +) +from ._manipulation_functions import reshape +from ._elementwise_functions import conj +from ._array_object import Array + +from ..core.numeric import normalize_axis_tuple + +from typing import TYPE_CHECKING +if TYPE_CHECKING: + from ._typing import Literal, Optional, Sequence, Tuple, Union, Dtype + +from typing import NamedTuple + +import numpy.linalg +import numpy as np + +class EighResult(NamedTuple): + eigenvalues: Array + eigenvectors: Array + +class QRResult(NamedTuple): + Q: Array + R: Array + +class SlogdetResult(NamedTuple): + sign: Array + logabsdet: Array + +class SVDResult(NamedTuple): + U: Array + S: Array + Vh: Array + +# Note: the inclusion of the upper keyword is different from +# np.linalg.cholesky, which does not have it. +def cholesky(x: Array, /, *, upper: bool = False) -> Array: + """ + Array API compatible wrapper for :py:func:`np.linalg.cholesky `. + + See its docstring for more information. + """ + # Note: the restriction to floating-point dtypes only is different from + # np.linalg.cholesky. + if x.dtype not in _floating_dtypes: + raise TypeError('Only floating-point dtypes are allowed in cholesky') + L = np.linalg.cholesky(x._array) + if upper: + U = Array._new(L).mT + if U.dtype in [complex64, complex128]: + U = conj(U) + return U + return Array._new(L) + +# Note: cross is the numpy top-level namespace, not np.linalg +def cross(x1: Array, x2: Array, /, *, axis: int = -1) -> Array: + """ + Array API compatible wrapper for :py:func:`np.cross `. + + See its docstring for more information. + """ + if x1.dtype not in _numeric_dtypes or x2.dtype not in _numeric_dtypes: + raise TypeError('Only numeric dtypes are allowed in cross') + # Note: this is different from np.cross(), which broadcasts + if x1.shape != x2.shape: + raise ValueError('x1 and x2 must have the same shape') + if x1.ndim == 0: + raise ValueError('cross() requires arrays of dimension at least 1') + # Note: this is different from np.cross(), which allows dimension 2 + if x1.shape[axis] != 3: + raise ValueError('cross() dimension must equal 3') + return Array._new(np.cross(x1._array, x2._array, axis=axis)) + +def det(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.linalg.det `. + + See its docstring for more information. + """ + # Note: the restriction to floating-point dtypes only is different from + # np.linalg.det. + if x.dtype not in _floating_dtypes: + raise TypeError('Only floating-point dtypes are allowed in det') + return Array._new(np.linalg.det(x._array)) + +# Note: diagonal is the numpy top-level namespace, not np.linalg +def diagonal(x: Array, /, *, offset: int = 0) -> Array: + """ + Array API compatible wrapper for :py:func:`np.diagonal `. + + See its docstring for more information. + """ + # Note: diagonal always operates on the last two axes, whereas np.diagonal + # operates on the first two axes by default + return Array._new(np.diagonal(x._array, offset=offset, axis1=-2, axis2=-1)) + + +def eigh(x: Array, /) -> EighResult: + """ + Array API compatible wrapper for :py:func:`np.linalg.eigh `. + + See its docstring for more information. + """ + # Note: the restriction to floating-point dtypes only is different from + # np.linalg.eigh. + if x.dtype not in _floating_dtypes: + raise TypeError('Only floating-point dtypes are allowed in eigh') + + # Note: the return type here is a namedtuple, which is different from + # np.eigh, which only returns a tuple. + return EighResult(*map(Array._new, np.linalg.eigh(x._array))) + + +def eigvalsh(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.linalg.eigvalsh `. + + See its docstring for more information. + """ + # Note: the restriction to floating-point dtypes only is different from + # np.linalg.eigvalsh. + if x.dtype not in _floating_dtypes: + raise TypeError('Only floating-point dtypes are allowed in eigvalsh') + + return Array._new(np.linalg.eigvalsh(x._array)) + +def inv(x: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.linalg.inv `. + + See its docstring for more information. + """ + # Note: the restriction to floating-point dtypes only is different from + # np.linalg.inv. + if x.dtype not in _floating_dtypes: + raise TypeError('Only floating-point dtypes are allowed in inv') + + return Array._new(np.linalg.inv(x._array)) + + +# Note: matmul is the numpy top-level namespace but not in np.linalg +def matmul(x1: Array, x2: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.matmul `. + + See its docstring for more information. + """ + # Note: the restriction to numeric dtypes only is different from + # np.matmul. + if x1.dtype not in _numeric_dtypes or x2.dtype not in _numeric_dtypes: + raise TypeError('Only numeric dtypes are allowed in matmul') + + return Array._new(np.matmul(x1._array, x2._array)) + + +# Note: the name here is different from norm(). The array API norm is split +# into matrix_norm and vector_norm(). + +# The type for ord should be Optional[Union[int, float, Literal[np.inf, +# -np.inf, 'fro', 'nuc']]], but Literal does not support floating-point +# literals. +def matrix_norm(x: Array, /, *, keepdims: bool = False, ord: Optional[Union[int, float, Literal['fro', 'nuc']]] = 'fro') -> Array: + """ + Array API compatible wrapper for :py:func:`np.linalg.norm `. + + See its docstring for more information. + """ + # Note: the restriction to floating-point dtypes only is different from + # np.linalg.norm. + if x.dtype not in _floating_dtypes: + raise TypeError('Only floating-point dtypes are allowed in matrix_norm') + + return Array._new(np.linalg.norm(x._array, axis=(-2, -1), keepdims=keepdims, ord=ord)) + + +def matrix_power(x: Array, n: int, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.matrix_power `. + + See its docstring for more information. + """ + # Note: the restriction to floating-point dtypes only is different from + # np.linalg.matrix_power. + if x.dtype not in _floating_dtypes: + raise TypeError('Only floating-point dtypes are allowed for the first argument of matrix_power') + + # np.matrix_power already checks if n is an integer + return Array._new(np.linalg.matrix_power(x._array, n)) + +# Note: the keyword argument name rtol is different from np.linalg.matrix_rank +def matrix_rank(x: Array, /, *, rtol: Optional[Union[float, Array]] = None) -> Array: + """ + Array API compatible wrapper for :py:func:`np.matrix_rank `. + + See its docstring for more information. + """ + # Note: this is different from np.linalg.matrix_rank, which supports 1 + # dimensional arrays. + if x.ndim < 2: + raise np.linalg.LinAlgError("1-dimensional array given. Array must be at least two-dimensional") + S = np.linalg.svd(x._array, compute_uv=False) + if rtol is None: + tol = S.max(axis=-1, keepdims=True) * max(x.shape[-2:]) * np.finfo(S.dtype).eps + else: + if isinstance(rtol, Array): + rtol = rtol._array + # Note: this is different from np.linalg.matrix_rank, which does not multiply + # the tolerance by the largest singular value. + tol = S.max(axis=-1, keepdims=True)*np.asarray(rtol)[..., np.newaxis] + return Array._new(np.count_nonzero(S > tol, axis=-1)) + + +# Note: this function is new in the array API spec. Unlike transpose, it only +# transposes the last two axes. +def matrix_transpose(x: Array, /) -> Array: + if x.ndim < 2: + raise ValueError("x must be at least 2-dimensional for matrix_transpose") + return Array._new(np.swapaxes(x._array, -1, -2)) + +# Note: outer is the numpy top-level namespace, not np.linalg +def outer(x1: Array, x2: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.outer `. + + See its docstring for more information. + """ + # Note: the restriction to numeric dtypes only is different from + # np.outer. + if x1.dtype not in _numeric_dtypes or x2.dtype not in _numeric_dtypes: + raise TypeError('Only numeric dtypes are allowed in outer') + + # Note: the restriction to only 1-dim arrays is different from np.outer + if x1.ndim != 1 or x2.ndim != 1: + raise ValueError('The input arrays to outer must be 1-dimensional') + + return Array._new(np.outer(x1._array, x2._array)) + +# Note: the keyword argument name rtol is different from np.linalg.pinv +def pinv(x: Array, /, *, rtol: Optional[Union[float, Array]] = None) -> Array: + """ + Array API compatible wrapper for :py:func:`np.linalg.pinv `. + + See its docstring for more information. + """ + # Note: the restriction to floating-point dtypes only is different from + # np.linalg.pinv. + if x.dtype not in _floating_dtypes: + raise TypeError('Only floating-point dtypes are allowed in pinv') + + # Note: this is different from np.linalg.pinv, which does not multiply the + # default tolerance by max(M, N). + if rtol is None: + rtol = max(x.shape[-2:]) * np.finfo(x.dtype).eps + return Array._new(np.linalg.pinv(x._array, rcond=rtol)) + +def qr(x: Array, /, *, mode: Literal['reduced', 'complete'] = 'reduced') -> QRResult: + """ + Array API compatible wrapper for :py:func:`np.linalg.qr `. + + See its docstring for more information. + """ + # Note: the restriction to floating-point dtypes only is different from + # np.linalg.qr. + if x.dtype not in _floating_dtypes: + raise TypeError('Only floating-point dtypes are allowed in qr') + + # Note: the return type here is a namedtuple, which is different from + # np.linalg.qr, which only returns a tuple. + return QRResult(*map(Array._new, np.linalg.qr(x._array, mode=mode))) + +def slogdet(x: Array, /) -> SlogdetResult: + """ + Array API compatible wrapper for :py:func:`np.linalg.slogdet `. + + See its docstring for more information. + """ + # Note: the restriction to floating-point dtypes only is different from + # np.linalg.slogdet. + if x.dtype not in _floating_dtypes: + raise TypeError('Only floating-point dtypes are allowed in slogdet') + + # Note: the return type here is a namedtuple, which is different from + # np.linalg.slogdet, which only returns a tuple. + return SlogdetResult(*map(Array._new, np.linalg.slogdet(x._array))) + +# Note: unlike np.linalg.solve, the array API solve() only accepts x2 as a +# vector when it is exactly 1-dimensional. All other cases treat x2 as a stack +# of matrices. The np.linalg.solve behavior of allowing stacks of both +# matrices and vectors is ambiguous c.f. +# https://github.com/numpy/numpy/issues/15349 and +# https://github.com/data-apis/array-api/issues/285. + +# To workaround this, the below is the code from np.linalg.solve except +# only calling solve1 in the exactly 1D case. +def _solve(a, b): + from ..linalg.linalg import (_makearray, _assert_stacked_2d, + _assert_stacked_square, _commonType, + isComplexType, get_linalg_error_extobj, + _raise_linalgerror_singular) + from ..linalg import _umath_linalg + + a, _ = _makearray(a) + _assert_stacked_2d(a) + _assert_stacked_square(a) + b, wrap = _makearray(b) + t, result_t = _commonType(a, b) + + # This part is different from np.linalg.solve + if b.ndim == 1: + gufunc = _umath_linalg.solve1 + else: + gufunc = _umath_linalg.solve + + # This does nothing currently but is left in because it will be relevant + # when complex dtype support is added to the spec in 2022. + signature = 'DD->D' if isComplexType(t) else 'dd->d' + with np.errstate(call=_raise_linalgerror_singular, invalid='call', + over='ignore', divide='ignore', under='ignore'): + r = gufunc(a, b, signature=signature) + + return wrap(r.astype(result_t, copy=False)) + +def solve(x1: Array, x2: Array, /) -> Array: + """ + Array API compatible wrapper for :py:func:`np.linalg.solve `. + + See its docstring for more information. + """ + # Note: the restriction to floating-point dtypes only is different from + # np.linalg.solve. + if x1.dtype not in _floating_dtypes or x2.dtype not in _floating_dtypes: + raise TypeError('Only floating-point dtypes are allowed in solve') + + return Array._new(_solve(x1._array, x2._array)) + +def svd(x: Array, /, *, full_matrices: bool = True) -> SVDResult: + """ + Array API compatible wrapper for :py:func:`np.linalg.svd `. + + See its docstring for more information. + """ + # Note: the restriction to floating-point dtypes only is different from + # np.linalg.svd. + if x.dtype not in _floating_dtypes: + raise TypeError('Only floating-point dtypes are allowed in svd') + + # Note: the return type here is a namedtuple, which is different from + # np.svd, which only returns a tuple. + return SVDResult(*map(Array._new, np.linalg.svd(x._array, full_matrices=full_matrices))) + +# Note: svdvals is not in NumPy (but it is in SciPy). It is equivalent to +# np.linalg.svd(compute_uv=False). +def svdvals(x: Array, /) -> Union[Array, Tuple[Array, ...]]: + if x.dtype not in _floating_dtypes: + raise TypeError('Only floating-point dtypes are allowed in svdvals') + return Array._new(np.linalg.svd(x._array, compute_uv=False)) + +# Note: tensordot is the numpy top-level namespace but not in np.linalg + +# Note: axes must be a tuple, unlike np.tensordot where it can be an array or array-like. +def tensordot(x1: Array, x2: Array, /, *, axes: Union[int, Tuple[Sequence[int], Sequence[int]]] = 2) -> Array: + # Note: the restriction to numeric dtypes only is different from + # np.tensordot. + if x1.dtype not in _numeric_dtypes or x2.dtype not in _numeric_dtypes: + raise TypeError('Only numeric dtypes are allowed in tensordot') + + return Array._new(np.tensordot(x1._array, x2._array, axes=axes)) + +# Note: trace is the numpy top-level namespace, not np.linalg +def trace(x: Array, /, *, offset: int = 0, dtype: Optional[Dtype] = None) -> Array: + """ + Array API compatible wrapper for :py:func:`np.trace `. + + See its docstring for more information. + """ + if x.dtype not in _numeric_dtypes: + raise TypeError('Only numeric dtypes are allowed in trace') + + # Note: trace() works the same as sum() and prod() (see + # _statistical_functions.py) + if dtype is None: + if x.dtype == float32: + dtype = float64 + elif x.dtype == complex64: + dtype = complex128 + # Note: trace always operates on the last two axes, whereas np.trace + # operates on the first two axes by default + return Array._new(np.asarray(np.trace(x._array, offset=offset, axis1=-2, axis2=-1, dtype=dtype))) + +# Note: vecdot is not in NumPy +def vecdot(x1: Array, x2: Array, /, *, axis: int = -1) -> Array: + if x1.dtype not in _numeric_dtypes or x2.dtype not in _numeric_dtypes: + raise TypeError('Only numeric dtypes are allowed in vecdot') + ndim = max(x1.ndim, x2.ndim) + x1_shape = (1,)*(ndim - x1.ndim) + tuple(x1.shape) + x2_shape = (1,)*(ndim - x2.ndim) + tuple(x2.shape) + if x1_shape[axis] != x2_shape[axis]: + raise ValueError("x1 and x2 must have the same size along the given axis") + + x1_, x2_ = np.broadcast_arrays(x1._array, x2._array) + x1_ = np.moveaxis(x1_, axis, -1) + x2_ = np.moveaxis(x2_, axis, -1) + + res = x1_[..., None, :] @ x2_[..., None] + return Array._new(res[..., 0, 0]) + + +# Note: the name here is different from norm(). The array API norm is split +# into matrix_norm and vector_norm(). + +# The type for ord should be Optional[Union[int, float, Literal[np.inf, +# -np.inf]]] but Literal does not support floating-point literals. +def vector_norm(x: Array, /, *, axis: Optional[Union[int, Tuple[int, ...]]] = None, keepdims: bool = False, ord: Optional[Union[int, float]] = 2) -> Array: + """ + Array API compatible wrapper for :py:func:`np.linalg.norm `. + + See its docstring for more information. + """ + # Note: the restriction to floating-point dtypes only is different from + # np.linalg.norm. + if x.dtype not in _floating_dtypes: + raise TypeError('Only floating-point dtypes are allowed in norm') + + # np.linalg.norm tries to do a matrix norm whenever axis is a 2-tuple or + # when axis=None and the input is 2-D, so to force a vector norm, we make + # it so the input is 1-D (for axis=None), or reshape so that norm is done + # on a single dimension. + a = x._array + if axis is None: + # Note: np.linalg.norm() doesn't handle 0-D arrays + a = a.ravel() + _axis = 0 + elif isinstance(axis, tuple): + # Note: The axis argument supports any number of axes, whereas + # np.linalg.norm() only supports a single axis for vector norm. + normalized_axis = normalize_axis_tuple(axis, x.ndim) + rest = tuple(i for i in range(a.ndim) if i not in normalized_axis) + newshape = axis + rest + a = np.transpose(a, newshape).reshape( + (np.prod([a.shape[i] for i in axis], dtype=int), *[a.shape[i] for i in rest])) + _axis = 0 + else: + _axis = axis + + res = Array._new(np.linalg.norm(a, axis=_axis, ord=ord)) + + if keepdims: + # We can't reuse np.linalg.norm(keepdims) because of the reshape hacks + # above to avoid matrix norm logic. + shape = list(x.shape) + _axis = normalize_axis_tuple(range(x.ndim) if axis is None else axis, x.ndim) + for i in _axis: + shape[i] = 1 + res = reshape(res, tuple(shape)) + + return res + +__all__ = ['cholesky', 'cross', 'det', 'diagonal', 'eigh', 'eigvalsh', 'inv', 'matmul', 'matrix_norm', 'matrix_power', 'matrix_rank', 'matrix_transpose', 'outer', 'pinv', 'qr', 'slogdet', 'solve', 'svd', 'svdvals', 'tensordot', 'trace', 'vecdot', 'vector_norm'] diff --git a/lib/python3.12/site-packages/numpy/array_api/setup.py b/lib/python3.12/site-packages/numpy/array_api/setup.py new file mode 100644 index 0000000000000000000000000000000000000000..c8bc2910268e06478d12bffa90024f8f09beb161 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/array_api/setup.py @@ -0,0 +1,12 @@ +def configuration(parent_package="", top_path=None): + from numpy.distutils.misc_util import Configuration + + config = Configuration("array_api", parent_package, top_path) + config.add_subpackage("tests") + return config + + +if __name__ == "__main__": + from numpy.distutils.core import setup + + setup(configuration=configuration) diff --git a/lib/python3.12/site-packages/numpy/array_api/tests/__init__.py b/lib/python3.12/site-packages/numpy/array_api/tests/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..536062e3827921df637105680ea9e8ea879b8f3e --- /dev/null +++ b/lib/python3.12/site-packages/numpy/array_api/tests/__init__.py @@ -0,0 +1,7 @@ +""" +Tests for the array API namespace. + +Note, full compliance with the array API can be tested with the official array API test +suite https://github.com/data-apis/array-api-tests. 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b/lib/python3.12/site-packages/numpy/array_api/tests/test_array_object.py new file mode 100644 index 0000000000000000000000000000000000000000..0feb72c4ea33a632545e6329854644ac9b817a4a --- /dev/null +++ b/lib/python3.12/site-packages/numpy/array_api/tests/test_array_object.py @@ -0,0 +1,395 @@ +import operator + +from numpy.testing import assert_raises, suppress_warnings +import numpy as np +import pytest + +from .. import ones, asarray, reshape, result_type, all, equal +from .._array_object import Array +from .._dtypes import ( + _all_dtypes, + _boolean_dtypes, + _real_floating_dtypes, + _floating_dtypes, + _complex_floating_dtypes, + _integer_dtypes, + _integer_or_boolean_dtypes, + _real_numeric_dtypes, + _numeric_dtypes, + int8, + int16, + int32, + int64, + uint64, + bool as bool_, +) + + +def test_validate_index(): + # The indexing tests in the official array API test suite test that the + # array object correctly handles the subset of indices that are required + # by the spec. But the NumPy array API implementation specifically + # disallows any index not required by the spec, via Array._validate_index. + # This test focuses on testing that non-valid indices are correctly + # rejected. See + # https://data-apis.org/array-api/latest/API_specification/indexing.html + # and the docstring of Array._validate_index for the exact indexing + # behavior that should be allowed. This does not test indices that are + # already invalid in NumPy itself because Array will generally just pass + # such indices directly to the underlying np.ndarray. + + a = ones((3, 4)) + + # Out of bounds slices are not allowed + assert_raises(IndexError, lambda: a[:4]) + assert_raises(IndexError, lambda: a[:-4]) + assert_raises(IndexError, lambda: a[:3:-1]) + assert_raises(IndexError, lambda: a[:-5:-1]) + assert_raises(IndexError, lambda: a[4:]) + assert_raises(IndexError, lambda: a[-4:]) + assert_raises(IndexError, lambda: a[4::-1]) + assert_raises(IndexError, lambda: a[-4::-1]) + + assert_raises(IndexError, lambda: a[...,:5]) + assert_raises(IndexError, lambda: a[...,:-5]) + assert_raises(IndexError, lambda: a[...,:5:-1]) + assert_raises(IndexError, lambda: a[...,:-6:-1]) + assert_raises(IndexError, lambda: a[...,5:]) + assert_raises(IndexError, lambda: a[...,-5:]) + assert_raises(IndexError, lambda: a[...,5::-1]) + assert_raises(IndexError, lambda: a[...,-5::-1]) + + # Boolean indices cannot be part of a larger tuple index + assert_raises(IndexError, lambda: a[a[:,0]==1,0]) + assert_raises(IndexError, lambda: a[a[:,0]==1,...]) + assert_raises(IndexError, lambda: a[..., a[0]==1]) + assert_raises(IndexError, lambda: a[[True, True, True]]) + assert_raises(IndexError, lambda: a[(True, True, True),]) + + # Integer array indices are not allowed (except for 0-D) + idx = asarray([[0, 1]]) + assert_raises(IndexError, lambda: a[idx]) + assert_raises(IndexError, lambda: a[idx,]) + assert_raises(IndexError, lambda: a[[0, 1]]) + assert_raises(IndexError, lambda: a[(0, 1), (0, 1)]) + assert_raises(IndexError, lambda: a[[0, 1]]) + assert_raises(IndexError, lambda: a[np.array([[0, 1]])]) + + # Multiaxis indices must contain exactly as many indices as dimensions + assert_raises(IndexError, lambda: a[()]) + assert_raises(IndexError, lambda: a[0,]) + assert_raises(IndexError, lambda: a[0]) + assert_raises(IndexError, lambda: a[:]) + +def test_operators(): + # For every operator, we test that it works for the required type + # combinations and raises TypeError otherwise + binary_op_dtypes = { + "__add__": "numeric", + "__and__": "integer_or_boolean", + "__eq__": "all", + "__floordiv__": "real numeric", + "__ge__": "real numeric", + "__gt__": "real numeric", + "__le__": "real numeric", + "__lshift__": "integer", + "__lt__": "real numeric", + "__mod__": "real numeric", + "__mul__": "numeric", + "__ne__": "all", + "__or__": "integer_or_boolean", + "__pow__": "numeric", + "__rshift__": "integer", + "__sub__": "numeric", + "__truediv__": "floating", + "__xor__": "integer_or_boolean", + } + # Recompute each time because of in-place ops + def _array_vals(): + for d in _integer_dtypes: + yield asarray(1, dtype=d) + for d in _boolean_dtypes: + yield asarray(False, dtype=d) + for d in _floating_dtypes: + yield asarray(1.0, dtype=d) + + + BIG_INT = int(1e30) + for op, dtypes in binary_op_dtypes.items(): + ops = [op] + if op not in ["__eq__", "__ne__", "__le__", "__ge__", "__lt__", "__gt__"]: + rop = "__r" + op[2:] + iop = "__i" + op[2:] + ops += [rop, iop] + for s in [1, 1.0, 1j, BIG_INT, False]: + for _op in ops: + for a in _array_vals(): + # Test array op scalar. From the spec, the following combinations + # are supported: + + # - Python bool for a bool array dtype, + # - a Python int within the bounds of the given dtype for integer array dtypes, + # - a Python int or float for real floating-point array dtypes + # - a Python int, float, or complex for complex floating-point array dtypes + + if ((dtypes == "all" + or dtypes == "numeric" and a.dtype in _numeric_dtypes + or dtypes == "real numeric" and a.dtype in _real_numeric_dtypes + or dtypes == "integer" and a.dtype in _integer_dtypes + or dtypes == "integer_or_boolean" and a.dtype in _integer_or_boolean_dtypes + or dtypes == "boolean" and a.dtype in _boolean_dtypes + or dtypes == "floating" and a.dtype in _floating_dtypes + ) + # bool is a subtype of int, which is why we avoid + # isinstance here. + and (a.dtype in _boolean_dtypes and type(s) == bool + or a.dtype in _integer_dtypes and type(s) == int + or a.dtype in _real_floating_dtypes and type(s) in [float, int] + or a.dtype in _complex_floating_dtypes and type(s) in [complex, float, int] + )): + if a.dtype in _integer_dtypes and s == BIG_INT: + assert_raises(OverflowError, lambda: getattr(a, _op)(s)) + else: + # Only test for no error + with suppress_warnings() as sup: + # ignore warnings from pow(BIG_INT) + sup.filter(RuntimeWarning, + "invalid value encountered in power") + getattr(a, _op)(s) + else: + assert_raises(TypeError, lambda: getattr(a, _op)(s)) + + # Test array op array. + for _op in ops: + for x in _array_vals(): + for y in _array_vals(): + # See the promotion table in NEP 47 or the array + # API spec page on type promotion. Mixed kind + # promotion is not defined. + if (x.dtype == uint64 and y.dtype in [int8, int16, int32, int64] + or y.dtype == uint64 and x.dtype in [int8, int16, int32, int64] + or x.dtype in _integer_dtypes and y.dtype not in _integer_dtypes + or y.dtype in _integer_dtypes and x.dtype not in _integer_dtypes + or x.dtype in _boolean_dtypes and y.dtype not in _boolean_dtypes + or y.dtype in _boolean_dtypes and x.dtype not in _boolean_dtypes + or x.dtype in _floating_dtypes and y.dtype not in _floating_dtypes + or y.dtype in _floating_dtypes and x.dtype not in _floating_dtypes + ): + assert_raises(TypeError, lambda: getattr(x, _op)(y)) + # Ensure in-place operators only promote to the same dtype as the left operand. + elif ( + _op.startswith("__i") + and result_type(x.dtype, y.dtype) != x.dtype + ): + assert_raises(TypeError, lambda: getattr(x, _op)(y)) + # Ensure only those dtypes that are required for every operator are allowed. + elif (dtypes == "all" and (x.dtype in _boolean_dtypes and y.dtype in _boolean_dtypes + or x.dtype in _numeric_dtypes and y.dtype in _numeric_dtypes) + or (dtypes == "real numeric" and x.dtype in _real_numeric_dtypes and y.dtype in _real_numeric_dtypes) + or (dtypes == "numeric" and x.dtype in _numeric_dtypes and y.dtype in _numeric_dtypes) + or dtypes == "integer" and x.dtype in _integer_dtypes and y.dtype in _integer_dtypes + or dtypes == "integer_or_boolean" and (x.dtype in _integer_dtypes and y.dtype in _integer_dtypes + or x.dtype in _boolean_dtypes and y.dtype in _boolean_dtypes) + or dtypes == "boolean" and x.dtype in _boolean_dtypes and y.dtype in _boolean_dtypes + or dtypes == "floating" and x.dtype in _floating_dtypes and y.dtype in _floating_dtypes + ): + getattr(x, _op)(y) + else: + assert_raises(TypeError, lambda: getattr(x, _op)(y)) + + unary_op_dtypes = { + "__abs__": "numeric", + "__invert__": "integer_or_boolean", + "__neg__": "numeric", + "__pos__": "numeric", + } + for op, dtypes in unary_op_dtypes.items(): + for a in _array_vals(): + if ( + dtypes == "numeric" + and a.dtype in _numeric_dtypes + or dtypes == "integer_or_boolean" + and a.dtype in _integer_or_boolean_dtypes + ): + # Only test for no error + getattr(a, op)() + else: + assert_raises(TypeError, lambda: getattr(a, op)()) + + # Finally, matmul() must be tested separately, because it works a bit + # different from the other operations. + def _matmul_array_vals(): + for a in _array_vals(): + yield a + for d in _all_dtypes: + yield ones((3, 4), dtype=d) + yield ones((4, 2), dtype=d) + yield ones((4, 4), dtype=d) + + # Scalars always error + for _op in ["__matmul__", "__rmatmul__", "__imatmul__"]: + for s in [1, 1.0, False]: + for a in _matmul_array_vals(): + if (type(s) in [float, int] and a.dtype in _floating_dtypes + or type(s) == int and a.dtype in _integer_dtypes): + # Type promotion is valid, but @ is not allowed on 0-D + # inputs, so the error is a ValueError + assert_raises(ValueError, lambda: getattr(a, _op)(s)) + else: + assert_raises(TypeError, lambda: getattr(a, _op)(s)) + + for x in _matmul_array_vals(): + for y in _matmul_array_vals(): + if (x.dtype == uint64 and y.dtype in [int8, int16, int32, int64] + or y.dtype == uint64 and x.dtype in [int8, int16, int32, int64] + or x.dtype in _integer_dtypes and y.dtype not in _integer_dtypes + or y.dtype in _integer_dtypes and x.dtype not in _integer_dtypes + or x.dtype in _floating_dtypes and y.dtype not in _floating_dtypes + or y.dtype in _floating_dtypes and x.dtype not in _floating_dtypes + or x.dtype in _boolean_dtypes + or y.dtype in _boolean_dtypes + ): + assert_raises(TypeError, lambda: x.__matmul__(y)) + assert_raises(TypeError, lambda: y.__rmatmul__(x)) + assert_raises(TypeError, lambda: x.__imatmul__(y)) + elif x.shape == () or y.shape == () or x.shape[1] != y.shape[0]: + assert_raises(ValueError, lambda: x.__matmul__(y)) + assert_raises(ValueError, lambda: y.__rmatmul__(x)) + if result_type(x.dtype, y.dtype) != x.dtype: + assert_raises(TypeError, lambda: x.__imatmul__(y)) + else: + assert_raises(ValueError, lambda: x.__imatmul__(y)) + else: + x.__matmul__(y) + y.__rmatmul__(x) + if result_type(x.dtype, y.dtype) != x.dtype: + assert_raises(TypeError, lambda: x.__imatmul__(y)) + elif y.shape[0] != y.shape[1]: + # This one fails because x @ y has a different shape from x + assert_raises(ValueError, lambda: x.__imatmul__(y)) + else: + x.__imatmul__(y) + + +def test_python_scalar_construtors(): + b = asarray(False) + i = asarray(0) + f = asarray(0.0) + c = asarray(0j) + + assert bool(b) == False + assert int(i) == 0 + assert float(f) == 0.0 + assert operator.index(i) == 0 + + # bool/int/float/complex should only be allowed on 0-D arrays. + assert_raises(TypeError, lambda: bool(asarray([False]))) + assert_raises(TypeError, lambda: int(asarray([0]))) + assert_raises(TypeError, lambda: float(asarray([0.0]))) + assert_raises(TypeError, lambda: complex(asarray([0j]))) + assert_raises(TypeError, lambda: operator.index(asarray([0]))) + + # bool should work on all types of arrays + assert bool(b) is bool(i) is bool(f) is bool(c) is False + + # int should fail on complex arrays + assert int(b) == int(i) == int(f) == 0 + assert_raises(TypeError, lambda: int(c)) + + # float should fail on complex arrays + assert float(b) == float(i) == float(f) == 0.0 + assert_raises(TypeError, lambda: float(c)) + + # complex should work on all types of arrays + assert complex(b) == complex(i) == complex(f) == complex(c) == 0j + + # index should only work on integer arrays + assert operator.index(i) == 0 + assert_raises(TypeError, lambda: operator.index(b)) + assert_raises(TypeError, lambda: operator.index(f)) + assert_raises(TypeError, lambda: operator.index(c)) + + +def test_device_property(): + a = ones((3, 4)) + assert a.device == 'cpu' + + assert all(equal(a.to_device('cpu'), a)) + assert_raises(ValueError, lambda: a.to_device('gpu')) + + assert all(equal(asarray(a, device='cpu'), a)) + assert_raises(ValueError, lambda: asarray(a, device='gpu')) + +def test_array_properties(): + a = ones((1, 2, 3)) + b = ones((2, 3)) + assert_raises(ValueError, lambda: a.T) + + assert isinstance(b.T, Array) + assert b.T.shape == (3, 2) + + assert isinstance(a.mT, Array) + assert a.mT.shape == (1, 3, 2) + assert isinstance(b.mT, Array) + assert b.mT.shape == (3, 2) + +def test___array__(): + a = ones((2, 3), dtype=int16) + assert np.asarray(a) is a._array + b = np.asarray(a, dtype=np.float64) + assert np.all(np.equal(b, np.ones((2, 3), dtype=np.float64))) + assert b.dtype == np.float64 + +def test_allow_newaxis(): + a = ones(5) + indexed_a = a[None, :] + assert indexed_a.shape == (1, 5) + +def test_disallow_flat_indexing_with_newaxis(): + a = ones((3, 3, 3)) + with pytest.raises(IndexError): + a[None, 0, 0] + +def test_disallow_mask_with_newaxis(): + a = ones((3, 3, 3)) + with pytest.raises(IndexError): + a[None, asarray(True)] + +@pytest.mark.parametrize("shape", [(), (5,), (3, 3, 3)]) +@pytest.mark.parametrize("index", ["string", False, True]) +def test_error_on_invalid_index(shape, index): + a = ones(shape) + with pytest.raises(IndexError): + a[index] + +def test_mask_0d_array_without_errors(): + a = ones(()) + a[asarray(True)] + +@pytest.mark.parametrize( + "i", [slice(5), slice(5, 0), asarray(True), asarray([0, 1])] +) +def test_error_on_invalid_index_with_ellipsis(i): + a = ones((3, 3, 3)) + with pytest.raises(IndexError): + a[..., i] + with pytest.raises(IndexError): + a[i, ...] + +def test_array_keys_use_private_array(): + """ + Indexing operations convert array keys before indexing the internal array + + Fails when array_api array keys are not converted into NumPy-proper arrays + in __getitem__(). This is achieved by passing array_api arrays with 0-sized + dimensions, which NumPy-proper treats erroneously - not sure why! + + TODO: Find and use appropriate __setitem__() case. + """ + a = ones((0, 0), dtype=bool_) + assert a[a].shape == (0,) + + a = ones((0,), dtype=bool_) + key = ones((0, 0), dtype=bool_) + with pytest.raises(IndexError): + a[key] diff --git a/lib/python3.12/site-packages/numpy/array_api/tests/test_creation_functions.py b/lib/python3.12/site-packages/numpy/array_api/tests/test_creation_functions.py new file mode 100644 index 0000000000000000000000000000000000000000..be9eaa38378cb19f4c445ec4138245564c13b28a --- /dev/null +++ b/lib/python3.12/site-packages/numpy/array_api/tests/test_creation_functions.py @@ -0,0 +1,142 @@ +from numpy.testing import assert_raises +import numpy as np + +from .. import all +from .._creation_functions import ( + asarray, + arange, + empty, + empty_like, + eye, + full, + full_like, + linspace, + meshgrid, + ones, + ones_like, + zeros, + zeros_like, +) +from .._dtypes import float32, float64 +from .._array_object import Array + + +def test_asarray_errors(): + # Test various protections against incorrect usage + assert_raises(TypeError, lambda: Array([1])) + assert_raises(TypeError, lambda: asarray(["a"])) + assert_raises(ValueError, lambda: asarray([1.0], dtype=np.float16)) + assert_raises(OverflowError, lambda: asarray(2**100)) + # Preferably this would be OverflowError + # assert_raises(OverflowError, lambda: asarray([2**100])) + assert_raises(TypeError, lambda: asarray([2**100])) + asarray([1], device="cpu") # Doesn't error + assert_raises(ValueError, lambda: asarray([1], device="gpu")) + + assert_raises(ValueError, lambda: asarray([1], dtype=int)) + assert_raises(ValueError, lambda: asarray([1], dtype="i")) + + +def test_asarray_copy(): + a = asarray([1]) + b = asarray(a, copy=True) + a[0] = 0 + assert all(b[0] == 1) + assert all(a[0] == 0) + a = asarray([1]) + b = asarray(a, copy=np._CopyMode.ALWAYS) + a[0] = 0 + assert all(b[0] == 1) + assert all(a[0] == 0) + a = asarray([1]) + b = asarray(a, copy=np._CopyMode.NEVER) + a[0] = 0 + assert all(b[0] == 0) + assert_raises(NotImplementedError, lambda: asarray(a, copy=False)) + assert_raises(NotImplementedError, + lambda: asarray(a, copy=np._CopyMode.IF_NEEDED)) + + +def test_arange_errors(): + arange(1, device="cpu") # Doesn't error + assert_raises(ValueError, lambda: arange(1, device="gpu")) + assert_raises(ValueError, lambda: arange(1, dtype=int)) + assert_raises(ValueError, lambda: arange(1, dtype="i")) + + +def test_empty_errors(): + empty((1,), device="cpu") # Doesn't error + assert_raises(ValueError, lambda: empty((1,), device="gpu")) + assert_raises(ValueError, lambda: empty((1,), dtype=int)) + assert_raises(ValueError, lambda: empty((1,), dtype="i")) + + +def test_empty_like_errors(): + empty_like(asarray(1), device="cpu") # Doesn't error + assert_raises(ValueError, lambda: empty_like(asarray(1), device="gpu")) + assert_raises(ValueError, lambda: empty_like(asarray(1), dtype=int)) + assert_raises(ValueError, lambda: empty_like(asarray(1), dtype="i")) + + +def test_eye_errors(): + eye(1, device="cpu") # Doesn't error + assert_raises(ValueError, lambda: eye(1, device="gpu")) + assert_raises(ValueError, lambda: eye(1, dtype=int)) + assert_raises(ValueError, lambda: eye(1, dtype="i")) + + +def test_full_errors(): + full((1,), 0, device="cpu") # Doesn't error + assert_raises(ValueError, lambda: full((1,), 0, device="gpu")) + assert_raises(ValueError, lambda: full((1,), 0, dtype=int)) + assert_raises(ValueError, lambda: full((1,), 0, dtype="i")) + + +def test_full_like_errors(): + full_like(asarray(1), 0, device="cpu") # Doesn't error + assert_raises(ValueError, lambda: full_like(asarray(1), 0, device="gpu")) + assert_raises(ValueError, lambda: full_like(asarray(1), 0, dtype=int)) + assert_raises(ValueError, lambda: full_like(asarray(1), 0, dtype="i")) + + +def test_linspace_errors(): + linspace(0, 1, 10, device="cpu") # Doesn't error + assert_raises(ValueError, lambda: linspace(0, 1, 10, device="gpu")) + assert_raises(ValueError, lambda: linspace(0, 1, 10, dtype=float)) + assert_raises(ValueError, lambda: linspace(0, 1, 10, dtype="f")) + + +def test_ones_errors(): + ones((1,), device="cpu") # Doesn't error + assert_raises(ValueError, lambda: ones((1,), device="gpu")) + assert_raises(ValueError, lambda: ones((1,), dtype=int)) + assert_raises(ValueError, lambda: ones((1,), dtype="i")) + + +def test_ones_like_errors(): + ones_like(asarray(1), device="cpu") # Doesn't error + assert_raises(ValueError, lambda: ones_like(asarray(1), device="gpu")) + assert_raises(ValueError, lambda: ones_like(asarray(1), dtype=int)) + assert_raises(ValueError, lambda: ones_like(asarray(1), dtype="i")) + + +def test_zeros_errors(): + zeros((1,), device="cpu") # Doesn't error + assert_raises(ValueError, lambda: zeros((1,), device="gpu")) + assert_raises(ValueError, lambda: zeros((1,), dtype=int)) + assert_raises(ValueError, lambda: zeros((1,), dtype="i")) + + +def test_zeros_like_errors(): + zeros_like(asarray(1), device="cpu") # Doesn't error + assert_raises(ValueError, lambda: zeros_like(asarray(1), device="gpu")) + assert_raises(ValueError, lambda: zeros_like(asarray(1), dtype=int)) + assert_raises(ValueError, lambda: zeros_like(asarray(1), dtype="i")) + +def test_meshgrid_dtype_errors(): + # Doesn't raise + meshgrid() + meshgrid(asarray([1.], dtype=float32)) + meshgrid(asarray([1.], dtype=float32), asarray([1.], dtype=float32)) + + assert_raises(ValueError, lambda: meshgrid(asarray([1.], dtype=float32), asarray([1.], dtype=float64))) diff --git a/lib/python3.12/site-packages/numpy/array_api/tests/test_data_type_functions.py b/lib/python3.12/site-packages/numpy/array_api/tests/test_data_type_functions.py new file mode 100644 index 0000000000000000000000000000000000000000..61d56ca45b1edf9a6dbc4681d1f5ac52448f96c4 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/array_api/tests/test_data_type_functions.py @@ -0,0 +1,31 @@ +import pytest + +from numpy.testing import assert_raises +from numpy import array_api as xp +import numpy as np + +@pytest.mark.parametrize( + "from_, to, expected", + [ + (xp.int8, xp.int16, True), + (xp.int16, xp.int8, False), + (xp.bool, xp.int8, False), + (xp.asarray(0, dtype=xp.uint8), xp.int8, False), + ], +) +def test_can_cast(from_, to, expected): + """ + can_cast() returns correct result + """ + assert xp.can_cast(from_, to) == expected + +def test_isdtype_strictness(): + assert_raises(TypeError, lambda: xp.isdtype(xp.float64, 64)) + assert_raises(ValueError, lambda: xp.isdtype(xp.float64, 'f8')) + + assert_raises(TypeError, lambda: xp.isdtype(xp.float64, (('integral',),))) + assert_raises(TypeError, lambda: xp.isdtype(xp.float64, np.object_)) + + # TODO: These will require https://github.com/numpy/numpy/issues/23883 + # assert_raises(TypeError, lambda: xp.isdtype(xp.float64, None)) + # assert_raises(TypeError, lambda: xp.isdtype(xp.float64, np.float64)) diff --git a/lib/python3.12/site-packages/numpy/array_api/tests/test_elementwise_functions.py b/lib/python3.12/site-packages/numpy/array_api/tests/test_elementwise_functions.py new file mode 100644 index 0000000000000000000000000000000000000000..1228d0af2e6a6a8ae504297c7562d3beb5ba9516 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/array_api/tests/test_elementwise_functions.py @@ -0,0 +1,114 @@ +from inspect import getfullargspec + +from numpy.testing import assert_raises + +from .. import asarray, _elementwise_functions +from .._elementwise_functions import bitwise_left_shift, bitwise_right_shift +from .._dtypes import ( + _dtype_categories, + _boolean_dtypes, + _floating_dtypes, + _integer_dtypes, +) + + +def nargs(func): + return len(getfullargspec(func).args) + + +def test_function_types(): + # Test that every function accepts only the required input types. We only + # test the negative cases here (error). The positive cases are tested in + # the array API test suite. + + elementwise_function_input_types = { + "abs": "numeric", + "acos": "floating-point", + "acosh": "floating-point", + "add": "numeric", + "asin": "floating-point", + "asinh": "floating-point", + "atan": "floating-point", + "atan2": "real floating-point", + "atanh": "floating-point", + "bitwise_and": "integer or boolean", + "bitwise_invert": "integer or boolean", + "bitwise_left_shift": "integer", + "bitwise_or": "integer or boolean", + "bitwise_right_shift": "integer", + "bitwise_xor": "integer or boolean", + "ceil": "real numeric", + "conj": "complex floating-point", + "cos": "floating-point", + "cosh": "floating-point", + "divide": "floating-point", + "equal": "all", + "exp": "floating-point", + "expm1": "floating-point", + "floor": "real numeric", + "floor_divide": "real numeric", + "greater": "real numeric", + "greater_equal": "real numeric", + "imag": "complex floating-point", + "isfinite": "numeric", + "isinf": "numeric", + "isnan": "numeric", + "less": "real numeric", + "less_equal": "real numeric", + "log": "floating-point", + "logaddexp": "real floating-point", + "log10": "floating-point", + "log1p": "floating-point", + "log2": "floating-point", + "logical_and": "boolean", + "logical_not": "boolean", + "logical_or": "boolean", + "logical_xor": "boolean", + "multiply": "numeric", + "negative": "numeric", + "not_equal": "all", + "positive": "numeric", + "pow": "numeric", + "real": "complex floating-point", + "remainder": "real numeric", + "round": "numeric", + "sign": "numeric", + "sin": "floating-point", + "sinh": "floating-point", + "sqrt": "floating-point", + "square": "numeric", + "subtract": "numeric", + "tan": "floating-point", + "tanh": "floating-point", + "trunc": "real numeric", + } + + def _array_vals(): + for d in _integer_dtypes: + yield asarray(1, dtype=d) + for d in _boolean_dtypes: + yield asarray(False, dtype=d) + for d in _floating_dtypes: + yield asarray(1.0, dtype=d) + + for x in _array_vals(): + for func_name, types in elementwise_function_input_types.items(): + dtypes = _dtype_categories[types] + func = getattr(_elementwise_functions, func_name) + if nargs(func) == 2: + for y in _array_vals(): + if x.dtype not in dtypes or y.dtype not in dtypes: + assert_raises(TypeError, lambda: func(x, y)) + else: + if x.dtype not in dtypes: + assert_raises(TypeError, lambda: func(x)) + + +def test_bitwise_shift_error(): + # bitwise shift functions should raise when the second argument is negative + assert_raises( + ValueError, lambda: bitwise_left_shift(asarray([1, 1]), asarray([1, -1])) + ) + assert_raises( + ValueError, lambda: bitwise_right_shift(asarray([1, 1]), asarray([1, -1])) + ) diff --git a/lib/python3.12/site-packages/numpy/array_api/tests/test_indexing_functions.py b/lib/python3.12/site-packages/numpy/array_api/tests/test_indexing_functions.py new file mode 100644 index 0000000000000000000000000000000000000000..9e05c63863a6fca5a24dfaa26e1fd9569dea9580 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/array_api/tests/test_indexing_functions.py @@ -0,0 +1,24 @@ +import pytest + +from numpy import array_api as xp + + +@pytest.mark.parametrize( + "x, indices, axis, expected", + [ + ([2, 3], [1, 1, 0], 0, [3, 3, 2]), + ([2, 3], [1, 1, 0], -1, [3, 3, 2]), + ([[2, 3]], [1], -1, [[3]]), + ([[2, 3]], [0, 0], 0, [[2, 3], [2, 3]]), + ], +) +def test_take_function(x, indices, axis, expected): + """ + Indices respect relative order of a descending stable-sort + + See https://github.com/numpy/numpy/issues/20778 + """ + x = xp.asarray(x) + indices = xp.asarray(indices) + out = xp.take(x, indices, axis=axis) + assert xp.all(out == xp.asarray(expected)) diff --git a/lib/python3.12/site-packages/numpy/array_api/tests/test_manipulation_functions.py b/lib/python3.12/site-packages/numpy/array_api/tests/test_manipulation_functions.py new file mode 100644 index 0000000000000000000000000000000000000000..aec57c38ba6a60f3e8dbf3e9b8e8241182f788de --- /dev/null +++ b/lib/python3.12/site-packages/numpy/array_api/tests/test_manipulation_functions.py @@ -0,0 +1,37 @@ +from numpy.testing import assert_raises +import numpy as np + +from .. import all +from .._creation_functions import asarray +from .._dtypes import float64, int8 +from .._manipulation_functions import ( + concat, + reshape, + stack +) + + +def test_concat_errors(): + assert_raises(TypeError, lambda: concat((1, 1), axis=None)) + assert_raises(TypeError, lambda: concat([asarray([1], dtype=int8), + asarray([1], dtype=float64)])) + + +def test_stack_errors(): + assert_raises(TypeError, lambda: stack([asarray([1, 1], dtype=int8), + asarray([2, 2], dtype=float64)])) + + +def test_reshape_copy(): + a = asarray(np.ones((2, 3))) + b = reshape(a, (3, 2), copy=True) + assert not np.shares_memory(a._array, b._array) + + a = asarray(np.ones((2, 3))) + b = reshape(a, (3, 2), copy=False) + assert np.shares_memory(a._array, b._array) + + a = asarray(np.ones((2, 3)).T) + b = reshape(a, (3, 2), copy=True) + assert_raises(AttributeError, lambda: reshape(a, (2, 3), copy=False)) + diff --git a/lib/python3.12/site-packages/numpy/array_api/tests/test_set_functions.py b/lib/python3.12/site-packages/numpy/array_api/tests/test_set_functions.py new file mode 100644 index 0000000000000000000000000000000000000000..b8eb65d430dc4f03e2ff662c61823adf17f2d502 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/array_api/tests/test_set_functions.py @@ -0,0 +1,19 @@ +import pytest +from hypothesis import given +from hypothesis.extra.array_api import make_strategies_namespace + +from numpy import array_api as xp + +xps = make_strategies_namespace(xp) + + +@pytest.mark.parametrize("func", [xp.unique_all, xp.unique_inverse]) +@given(xps.arrays(dtype=xps.scalar_dtypes(), shape=xps.array_shapes())) +def test_inverse_indices_shape(func, x): + """ + Inverse indices share shape of input array + + See https://github.com/numpy/numpy/issues/20638 + """ + out = func(x) + assert out.inverse_indices.shape == x.shape diff --git a/lib/python3.12/site-packages/numpy/array_api/tests/test_sorting_functions.py b/lib/python3.12/site-packages/numpy/array_api/tests/test_sorting_functions.py new file mode 100644 index 0000000000000000000000000000000000000000..9848bbfeb7bdee1a7183a6bda641e0611c756ee6 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/array_api/tests/test_sorting_functions.py @@ -0,0 +1,23 @@ +import pytest + +from numpy import array_api as xp + + +@pytest.mark.parametrize( + "obj, axis, expected", + [ + ([0, 0], -1, [0, 1]), + ([0, 1, 0], -1, [1, 0, 2]), + ([[0, 1], [1, 1]], 0, [[1, 0], [0, 1]]), + ([[0, 1], [1, 1]], 1, [[1, 0], [0, 1]]), + ], +) +def test_stable_desc_argsort(obj, axis, expected): + """ + Indices respect relative order of a descending stable-sort + + See https://github.com/numpy/numpy/issues/20778 + """ + x = xp.asarray(obj) + out = xp.argsort(x, axis=axis, stable=True, descending=True) + assert xp.all(out == xp.asarray(expected)) diff --git a/lib/python3.12/site-packages/numpy/array_api/tests/test_validation.py b/lib/python3.12/site-packages/numpy/array_api/tests/test_validation.py new file mode 100644 index 0000000000000000000000000000000000000000..0dd100d159242a1dcd0da5277dd655625c602fad --- /dev/null +++ b/lib/python3.12/site-packages/numpy/array_api/tests/test_validation.py @@ -0,0 +1,27 @@ +from typing import Callable + +import pytest + +from numpy import array_api as xp + + +def p(func: Callable, *args, **kwargs): + f_sig = ", ".join( + [str(a) for a in args] + [f"{k}={v}" for k, v in kwargs.items()] + ) + id_ = f"{func.__name__}({f_sig})" + return pytest.param(func, args, kwargs, id=id_) + + +@pytest.mark.parametrize( + "func, args, kwargs", + [ + p(xp.can_cast, 42, xp.int8), + p(xp.can_cast, xp.int8, 42), + p(xp.result_type, 42), + ], +) +def test_raises_on_invalid_types(func, args, kwargs): + """Function raises TypeError when passed invalidly-typed inputs""" + with pytest.raises(TypeError): + func(*args, **kwargs) diff --git a/lib/python3.12/site-packages/numpy/compat/__init__.py b/lib/python3.12/site-packages/numpy/compat/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..504f8b0030ba10511f47d8512acb2feff7d807b0 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/compat/__init__.py @@ -0,0 +1,19 @@ +""" +Compatibility module. + +This module contains duplicated code from Python itself or 3rd party +extensions, which may be included for the following reasons: + + * compatibility + * we may only need a small subset of the copied library/module + +""" + +from .._utils import _inspect +from .._utils._inspect import getargspec, formatargspec +from . import py3k +from .py3k import * + +__all__ = [] +__all__.extend(_inspect.__all__) +__all__.extend(py3k.__all__) diff --git a/lib/python3.12/site-packages/numpy/compat/__pycache__/__init__.cpython-312.pyc b/lib/python3.12/site-packages/numpy/compat/__pycache__/__init__.cpython-312.pyc new file mode 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a/lib/python3.12/site-packages/numpy/compat/py3k.py b/lib/python3.12/site-packages/numpy/compat/py3k.py new file mode 100644 index 0000000000000000000000000000000000000000..d02c9f8fe341859202319f9b7ed65818f139e269 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/compat/py3k.py @@ -0,0 +1,145 @@ +""" +Python 3.X compatibility tools. + +While this file was originally intended for Python 2 -> 3 transition, +it is now used to create a compatibility layer between different +minor versions of Python 3. + +While the active version of numpy may not support a given version of python, we +allow downstream libraries to continue to use these shims for forward +compatibility with numpy while they transition their code to newer versions of +Python. +""" +__all__ = ['bytes', 'asbytes', 'isfileobj', 'getexception', 'strchar', + 'unicode', 'asunicode', 'asbytes_nested', 'asunicode_nested', + 'asstr', 'open_latin1', 'long', 'basestring', 'sixu', + 'integer_types', 'is_pathlib_path', 'npy_load_module', 'Path', + 'pickle', 'contextlib_nullcontext', 'os_fspath', 'os_PathLike'] + +import sys +import os +from pathlib import Path +import io +try: + import pickle5 as pickle +except ImportError: + import pickle + +long = int +integer_types = (int,) +basestring = str +unicode = str +bytes = bytes + +def asunicode(s): + if isinstance(s, bytes): + return s.decode('latin1') + return str(s) + +def asbytes(s): + if isinstance(s, bytes): + return s + return str(s).encode('latin1') + +def asstr(s): + if isinstance(s, bytes): + return s.decode('latin1') + return str(s) + +def isfileobj(f): + if not isinstance(f, (io.FileIO, io.BufferedReader, io.BufferedWriter)): + return False + try: + # BufferedReader/Writer may raise OSError when + # fetching `fileno()` (e.g. when wrapping BytesIO). + f.fileno() + return True + except OSError: + return False + +def open_latin1(filename, mode='r'): + return open(filename, mode=mode, encoding='iso-8859-1') + +def sixu(s): + return s + +strchar = 'U' + +def getexception(): + return sys.exc_info()[1] + +def asbytes_nested(x): + if hasattr(x, '__iter__') and not isinstance(x, (bytes, unicode)): + return [asbytes_nested(y) for y in x] + else: + return asbytes(x) + +def asunicode_nested(x): + if hasattr(x, '__iter__') and not isinstance(x, (bytes, unicode)): + return [asunicode_nested(y) for y in x] + else: + return asunicode(x) + +def is_pathlib_path(obj): + """ + Check whether obj is a `pathlib.Path` object. + + Prefer using ``isinstance(obj, os.PathLike)`` instead of this function. + """ + return isinstance(obj, Path) + +# from Python 3.7 +class contextlib_nullcontext: + """Context manager that does no additional processing. + + Used as a stand-in for a normal context manager, when a particular + block of code is only sometimes used with a normal context manager: + + cm = optional_cm if condition else nullcontext() + with cm: + # Perform operation, using optional_cm if condition is True + + .. note:: + Prefer using `contextlib.nullcontext` instead of this context manager. + """ + + def __init__(self, enter_result=None): + self.enter_result = enter_result + + def __enter__(self): + return self.enter_result + + def __exit__(self, *excinfo): + pass + + +def npy_load_module(name, fn, info=None): + """ + Load a module. Uses ``load_module`` which will be deprecated in python + 3.12. An alternative that uses ``exec_module`` is in + numpy.distutils.misc_util.exec_mod_from_location + + .. versionadded:: 1.11.2 + + Parameters + ---------- + name : str + Full module name. + fn : str + Path to module file. + info : tuple, optional + Only here for backward compatibility with Python 2.*. + + Returns + ------- + mod : module + + """ + # Explicitly lazy import this to avoid paying the cost + # of importing importlib at startup + from importlib.machinery import SourceFileLoader + return SourceFileLoader(name, fn).load_module() + + +os_fspath = os.fspath +os_PathLike = os.PathLike diff --git a/lib/python3.12/site-packages/numpy/compat/setup.py b/lib/python3.12/site-packages/numpy/compat/setup.py new file mode 100644 index 0000000000000000000000000000000000000000..c1b34a2cc9528b859e9f40d4eaee8eb35dbf64d6 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/compat/setup.py @@ -0,0 +1,10 @@ +def configuration(parent_package='',top_path=None): + from numpy.distutils.misc_util import Configuration + + config = Configuration('compat', parent_package, top_path) + config.add_subpackage('tests') + return config + +if __name__ == '__main__': + from numpy.distutils.core import setup + setup(configuration=configuration) diff --git a/lib/python3.12/site-packages/numpy/compat/tests/__init__.py b/lib/python3.12/site-packages/numpy/compat/tests/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 diff --git a/lib/python3.12/site-packages/numpy/compat/tests/__pycache__/__init__.cpython-312.pyc b/lib/python3.12/site-packages/numpy/compat/tests/__pycache__/__init__.cpython-312.pyc new file mode 100644 index 0000000000000000000000000000000000000000..90b30a9307ffd99968736818e17cde91a5e89a87 Binary files /dev/null and b/lib/python3.12/site-packages/numpy/compat/tests/__pycache__/__init__.cpython-312.pyc differ diff --git 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tempdir(prefix="numpy_test_compat_") as folder: + filename = join(folder, 'a.bin') + + with open(filename, 'wb') as f: + assert_(isfileobj(f)) + + with open(filename, 'ab') as f: + assert_(isfileobj(f)) + + with open(filename, 'rb') as f: + assert_(isfileobj(f)) + + assert_(isfileobj(BufferedReader(BytesIO())) is False) diff --git a/lib/python3.12/site-packages/numpy/core/__pycache__/__init__.cpython-312.pyc b/lib/python3.12/site-packages/numpy/core/__pycache__/__init__.cpython-312.pyc new file mode 100644 index 0000000000000000000000000000000000000000..cafa21146fae5fa819f08a4bd624b6af540b9d5a Binary files /dev/null and b/lib/python3.12/site-packages/numpy/core/__pycache__/__init__.cpython-312.pyc differ diff --git a/lib/python3.12/site-packages/numpy/core/__pycache__/_add_newdocs_scalars.cpython-312.pyc b/lib/python3.12/site-packages/numpy/core/__pycache__/_add_newdocs_scalars.cpython-312.pyc new file mode 100644 index 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a/lib/python3.12/site-packages/numpy/core/tests/data/generate_umath_validation_data.cpp b/lib/python3.12/site-packages/numpy/core/tests/data/generate_umath_validation_data.cpp new file mode 100644 index 0000000000000000000000000000000000000000..575eec1188275064169e7ed533535617fc849d55 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/core/tests/data/generate_umath_validation_data.cpp @@ -0,0 +1,170 @@ +#include +#include +#include +#include +#include +#include +#include +#include + +struct ufunc { + std::string name; + double (*f32func)(double); + long double (*f64func)(long double); + float f32ulp; + float f64ulp; +}; + +template +T +RandomFloat(T a, T b) +{ + T random = ((T)rand()) / (T)RAND_MAX; + T diff = b - a; + T r = random * diff; + return a + r; +} + +template +void +append_random_array(std::vector &arr, T min, T max, size_t N) +{ + for (size_t ii = 0; ii < N; ++ii) + arr.emplace_back(RandomFloat(min, max)); +} + +template +std::vector +computeTrueVal(const std::vector &in, T2 (*mathfunc)(T2)) +{ + std::vector out; + for (T1 elem : in) { + T2 elem_d = (T2)elem; + T1 out_elem = (T1)mathfunc(elem_d); + out.emplace_back(out_elem); + } + return out; +} + +/* + * FP range: + * [-inf, -maxflt, -1., -minflt, -minden, 0., minden, minflt, 1., maxflt, inf] + */ + +#define MINDEN std::numeric_limits::denorm_min() +#define MINFLT std::numeric_limits::min() +#define MAXFLT std::numeric_limits::max() +#define INF std::numeric_limits::infinity() +#define qNAN std::numeric_limits::quiet_NaN() +#define sNAN std::numeric_limits::signaling_NaN() + +template +std::vector +generate_input_vector(std::string func) +{ + std::vector input = {MINDEN, -MINDEN, MINFLT, -MINFLT, MAXFLT, + -MAXFLT, INF, -INF, qNAN, sNAN, + -1.0, 1.0, 0.0, -0.0}; + + // [-1.0, 1.0] + if ((func == "arcsin") || (func == "arccos") || (func == "arctanh")) { + append_random_array(input, -1.0, 1.0, 700); + } + // (0.0, INF] + else if ((func == "log2") || (func == "log10")) { + append_random_array(input, 0.0, 1.0, 200); + append_random_array(input, MINDEN, MINFLT, 200); + append_random_array(input, MINFLT, 1.0, 200); + append_random_array(input, 1.0, MAXFLT, 200); + } + // (-1.0, INF] + else if (func == "log1p") { + append_random_array(input, -1.0, 1.0, 200); + append_random_array(input, -MINFLT, -MINDEN, 100); + append_random_array(input, -1.0, -MINFLT, 100); + append_random_array(input, MINDEN, MINFLT, 100); + append_random_array(input, MINFLT, 1.0, 100); + append_random_array(input, 1.0, MAXFLT, 100); + } + // [1.0, INF] + else if (func == "arccosh") { + append_random_array(input, 1.0, 2.0, 400); + append_random_array(input, 2.0, MAXFLT, 300); + } + // [-INF, INF] + else { + append_random_array(input, -1.0, 1.0, 100); + append_random_array(input, MINDEN, MINFLT, 100); + append_random_array(input, -MINFLT, -MINDEN, 100); + append_random_array(input, MINFLT, 1.0, 100); + append_random_array(input, -1.0, -MINFLT, 100); + append_random_array(input, 1.0, MAXFLT, 100); + append_random_array(input, -MAXFLT, -100.0, 100); + } + + std::random_shuffle(input.begin(), input.end()); + return input; +} + +int +main() +{ + srand(42); + std::vector umathfunc = { + {"sin", sin, sin, 1.49, 1.00}, + {"cos", cos, cos, 1.49, 1.00}, + {"tan", tan, tan, 3.91, 3.93}, + {"arcsin", asin, asin, 3.12, 2.55}, + {"arccos", acos, acos, 2.1, 1.67}, + {"arctan", atan, atan, 2.3, 2.52}, + {"sinh", sinh, sinh, 1.55, 1.89}, + {"cosh", cosh, cosh, 2.48, 1.97}, + {"tanh", tanh, tanh, 1.38, 1.19}, + {"arcsinh", asinh, asinh, 1.01, 1.48}, + {"arccosh", acosh, acosh, 1.16, 1.05}, + {"arctanh", atanh, atanh, 1.45, 1.46}, + {"cbrt", cbrt, cbrt, 1.94, 1.82}, + //{"exp",exp,exp,3.76,1.53}, + {"exp2", exp2, exp2, 1.01, 1.04}, + {"expm1", expm1, expm1, 2.62, 2.1}, + //{"log",log,log,1.84,1.67}, + {"log10", log10, log10, 3.5, 1.92}, + {"log1p", log1p, log1p, 1.96, 1.93}, + {"log2", log2, log2, 2.12, 1.84}, + }; + + for (int ii = 0; ii < umathfunc.size(); ++ii) { + // ignore sin/cos + if ((umathfunc[ii].name != "sin") && (umathfunc[ii].name != "cos")) { + std::string fileName = + "umath-validation-set-" + umathfunc[ii].name + ".csv"; + std::ofstream txtOut; + txtOut.open(fileName, std::ofstream::trunc); + txtOut << "dtype,input,output,ulperrortol" << std::endl; + + // Single Precision + auto f32in = generate_input_vector(umathfunc[ii].name); + auto f32out = computeTrueVal(f32in, + umathfunc[ii].f32func); + for (int jj = 0; jj < f32in.size(); ++jj) { + txtOut << "np.float32" << std::hex << ",0x" + << *reinterpret_cast(&f32in[jj]) << ",0x" + << *reinterpret_cast(&f32out[jj]) << "," + << ceil(umathfunc[ii].f32ulp) << std::endl; + } + + // Double Precision + auto f64in = generate_input_vector(umathfunc[ii].name); + auto f64out = computeTrueVal( + f64in, umathfunc[ii].f64func); + for (int jj = 0; jj < f64in.size(); ++jj) { + txtOut << "np.float64" << std::hex << ",0x" + << *reinterpret_cast(&f64in[jj]) << ",0x" + << *reinterpret_cast(&f64out[jj]) << "," + << ceil(umathfunc[ii].f64ulp) << std::endl; + } + txtOut.close(); + } + } + return 0; +} diff --git a/lib/python3.12/site-packages/numpy/core/tests/data/recarray_from_file.fits b/lib/python3.12/site-packages/numpy/core/tests/data/recarray_from_file.fits new file mode 100644 index 0000000000000000000000000000000000000000..ca48ee85153645a7510e201d574e9b119c089dce Binary files /dev/null and b/lib/python3.12/site-packages/numpy/core/tests/data/recarray_from_file.fits differ diff --git a/lib/python3.12/site-packages/numpy/core/tests/data/umath-validation-set-README.txt b/lib/python3.12/site-packages/numpy/core/tests/data/umath-validation-set-README.txt new file mode 100644 index 0000000000000000000000000000000000000000..cfc9e4145d10276a4d296f3e189debeb581db780 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/core/tests/data/umath-validation-set-README.txt @@ -0,0 +1,15 @@ +Steps to validate transcendental functions: +1) Add a file 'umath-validation-set-.txt', where ufuncname is name of + the function in NumPy you want to validate +2) The file should contain 4 columns: dtype,input,expected output,ulperror + a. dtype: one of np.float16, np.float32, np.float64 + b. input: floating point input to ufunc in hex. Example: 0x414570a4 + represents 12.340000152587890625 + c. expected output: floating point output for the corresponding input in hex. + This should be computed using a high(er) precision library and then rounded to + same format as the input. + d. ulperror: expected maximum ulp error of the function. This + should be same across all rows of the same dtype. Otherwise, the function is + tested for the maximum ulp error among all entries of that dtype. +3) Add file umath-validation-set-.txt to the test file test_umath_accuracy.py + which will then validate your ufunc. diff --git a/lib/python3.12/site-packages/numpy/core/tests/data/umath-validation-set-arccos.csv b/lib/python3.12/site-packages/numpy/core/tests/data/umath-validation-set-arccos.csv new file mode 100644 index 0000000000000000000000000000000000000000..6697ae9561f3062ff92986b0006499d7cdf2f265 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/core/tests/data/umath-validation-set-arccos.csv @@ -0,0 +1,1429 @@ +dtype,input,output,ulperrortol +np.float32,0xbddd7f50,0x3fd6eec2,3 +np.float32,0xbe32a20c,0x3fdf8182,3 +np.float32,0xbf607c09,0x4028f84f,3 +np.float32,0x3f25d906,0x3f5db544,3 +np.float32,0x3f01cec8,0x3f84febf,3 +np.float32,0x3f1d5c6e,0x3f68a735,3 +np.float32,0xbf0cab89,0x4009c36d,3 +np.float32,0xbf176b40,0x400d0941,3 +np.float32,0x3f3248b2,0x3f4ce6d4,3 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0000000000000000000000000000000000000000..258ae48ce0209f6873101426fce439c233078c89 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/core/tests/data/umath-validation-set-cos.csv @@ -0,0 +1,1375 @@ +dtype,input,output,ulperrortol +## +ve denormals ## +np.float32,0x004b4716,0x3f800000,2 +np.float32,0x007b2490,0x3f800000,2 +np.float32,0x007c99fa,0x3f800000,2 +np.float32,0x00734a0c,0x3f800000,2 +np.float32,0x0070de24,0x3f800000,2 +np.float32,0x007fffff,0x3f800000,2 +np.float32,0x00000001,0x3f800000,2 +## -ve denormals ## +np.float32,0x80495d65,0x3f800000,2 +np.float32,0x806894f6,0x3f800000,2 +np.float32,0x80555a76,0x3f800000,2 +np.float32,0x804e1fb8,0x3f800000,2 +np.float32,0x80687de9,0x3f800000,2 +np.float32,0x807fffff,0x3f800000,2 +np.float32,0x80000001,0x3f800000,2 +## +/-0.0f, +/-FLT_MIN +/-FLT_MAX ## +np.float32,0x00000000,0x3f800000,2 +np.float32,0x80000000,0x3f800000,2 +np.float32,0x00800000,0x3f800000,2 +np.float32,0x80800000,0x3f800000,2 +## 1.00f + 0x00000001 ## 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+np.float64,0x2e84547a5d08b,0x3ff0000000000000,2 +np.float64,0x8002d8875ee5b10f,0x3ff0000000000000,2 +np.float64,0x3fe1d1c5f763a38c,0x3ff28ba524fb6de8,2 +np.float64,0x8001dea0bc43bd42,0x3ff0000000000000,2 +np.float64,0xfecfad91fd9f6,0x3ff0000000000000,2 +np.float64,0xffed7965fa3af2cb,0x7ff0000000000000,2 +np.float64,0xbfe6102ccc2c205a,0x3ff3f4c082506686,2 +np.float64,0x3feff75b777feeb6,0x3ff8ab6222578e0c,2 +np.float64,0x3fb8a97bd43152f8,0x3ff013057f0a9d89,2 +np.float64,0xffe234b5e964696c,0x7ff0000000000000,2 +np.float64,0x984d9137309b2,0x3ff0000000000000,2 +np.float64,0xbfe42e9230e85d24,0x3ff349fb7d1a7560,2 +np.float64,0xbfecc8b249f99165,0x3ff6ebd0fea0ea72,2 +np.float64,0x8000840910410813,0x3ff0000000000000,2 +np.float64,0xbfd81db9e7303b74,0x3ff126402d3539ec,2 +np.float64,0x800548eb7fea91d8,0x3ff0000000000000,2 +np.float64,0xbfe4679ad0e8cf36,0x3ff35d4db89296a3,2 +np.float64,0x3fd4c55b5a298ab7,0x3ff0d99da31081f9,2 +np.float64,0xbfa8f5b38c31eb60,0x3ff004de3a23b32d,2 +np.float64,0x80005d348e80ba6a,0x3ff0000000000000,2 +np.float64,0x800c348d6118691b,0x3ff0000000000000,2 +np.float64,0xffd6b88f84ad7120,0x7ff0000000000000,2 +np.float64,0x3fc1aaaa82235555,0x3ff027136afd08e0,2 +np.float64,0x7fca7d081b34fa0f,0x7ff0000000000000,2 +np.float64,0x1,0x3ff0000000000000,2 +np.float64,0xbfdc810d1139021a,0x3ff19d007408cfe3,2 +np.float64,0xbfe5dce05f2bb9c0,0x3ff3e1bb9234617b,2 +np.float64,0xffecfe2c32b9fc58,0x7ff0000000000000,2 +np.float64,0x95b2891b2b651,0x3ff0000000000000,2 +np.float64,0x8000b60c6c616c1a,0x3ff0000000000000,2 +np.float64,0x4944f0889289f,0x3ff0000000000000,2 +np.float64,0x3fe6e508696dca10,0x3ff445d1b94863e9,2 +np.float64,0xbfe63355d0ec66ac,0x3ff401e74f16d16f,2 +np.float64,0xbfe9b9595af372b3,0x3ff57445e1b4d670,2 +np.float64,0x800e16f7313c2dee,0x3ff0000000000000,2 +np.float64,0xffe898f5f0b131eb,0x7ff0000000000000,2 +np.float64,0x3fe91ac651f2358d,0x3ff52e787c21c004,2 +np.float64,0x7fbfaac6783f558c,0x7ff0000000000000,2 +np.float64,0xd8ef3dfbb1de8,0x3ff0000000000000,2 +np.float64,0xbfc58c13a52b1828,0x3ff03a2c19d65019,2 +np.float64,0xbfbde55e8a3bcac0,0x3ff01bf648a3e0a7,2 +np.float64,0xffc3034930260694,0x7ff0000000000000,2 +np.float64,0xea77a64dd4ef5,0x3ff0000000000000,2 +np.float64,0x800cfe7e7739fcfd,0x3ff0000000000000,2 +np.float64,0x4960f31a92c1f,0x3ff0000000000000,2 +np.float64,0x3fd9552c94b2aa58,0x3ff14515a29add09,2 +np.float64,0xffe8b3244c316648,0x7ff0000000000000,2 +np.float64,0x3fe8201e6a70403d,0x3ff4c444fa679cce,2 +np.float64,0xffe9ab7c20f356f8,0x7ff0000000000000,2 +np.float64,0x3fed8bba5f7b1774,0x3ff751853c4c95c5,2 +np.float64,0x8007639cb76ec73a,0x3ff0000000000000,2 +np.float64,0xbfe396db89672db7,0x3ff317bfd1d6fa8c,2 +np.float64,0xbfeb42f888f685f1,0x3ff62a7e0eee56b1,2 +np.float64,0x3fe894827c712904,0x3ff4f4f561d9ea13,2 +np.float64,0xb66b3caf6cd68,0x3ff0000000000000,2 +np.float64,0x800f8907fdbf1210,0x3ff0000000000000,2 +np.float64,0x7fe9b0cddb73619b,0x7ff0000000000000,2 +np.float64,0xbfda70c0e634e182,0x3ff1628c6fdffc53,2 +np.float64,0x3fe0b5f534a16bea,0x3ff23b4ed4c2b48e,2 +np.float64,0xbfe8eee93671ddd2,0x3ff51b85b3c50ae4,2 +np.float64,0xbfe8c22627f1844c,0x3ff50858787a3bfe,2 +np.float64,0x37bb83c86f771,0x3ff0000000000000,2 +np.float64,0xffb7827ffe2f0500,0x7ff0000000000000,2 +np.float64,0x64317940c864,0x3ff0000000000000,2 +np.float64,0x800430ecee6861db,0x3ff0000000000000,2 +np.float64,0x3fa4291fbc285240,0x3ff0032d0204f6dd,2 +np.float64,0xffec69f76af8d3ee,0x7ff0000000000000,2 +np.float64,0x3ff0000000000000,0x3ff8b07551d9f550,2 +np.float64,0x3fc4cf3c42299e79,0x3ff0363fb1d3c254,2 +np.float64,0x7fe0223a77e04474,0x7ff0000000000000,2 +np.float64,0x800a3d4fa4347aa0,0x3ff0000000000000,2 +np.float64,0x3fdd273f94ba4e7f,0x3ff1b05b686e6879,2 +np.float64,0x3feca79052f94f20,0x3ff6dadedfa283aa,2 +np.float64,0x5e7f6f80bcfef,0x3ff0000000000000,2 +np.float64,0xbfef035892fe06b1,0x3ff81efb39cbeba2,2 +np.float64,0x3fee6c08e07cd812,0x3ff7caad952860a1,2 +np.float64,0xffeda715877b4e2a,0x7ff0000000000000,2 +np.float64,0x800580286b0b0052,0x3ff0000000000000,2 +np.float64,0x800703a73fee074f,0x3ff0000000000000,2 +np.float64,0xbfccf96a6639f2d4,0x3ff0696330a60832,2 +np.float64,0x7feb408442368108,0x7ff0000000000000,2 +np.float64,0x3fedc87a46fb90f5,0x3ff771e3635649a9,2 +np.float64,0x3fd8297b773052f7,0x3ff12762bc0cea76,2 +np.float64,0x3fee41bb03fc8376,0x3ff7b37b2da48ab4,2 +np.float64,0xbfe2b05a226560b4,0x3ff2cea17ae7c528,2 +np.float64,0xbfd2e92cf2a5d25a,0x3ff0b41d605ced61,2 +np.float64,0x4817f03a902ff,0x3ff0000000000000,2 +np.float64,0x8c9d4f0d193aa,0x3ff0000000000000,2 diff --git a/lib/python3.12/site-packages/numpy/core/tests/data/umath-validation-set-exp.csv b/lib/python3.12/site-packages/numpy/core/tests/data/umath-validation-set-exp.csv new file mode 100644 index 0000000000000000000000000000000000000000..071fb312932f3d59c92d03c11d505a78b96c9257 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/core/tests/data/umath-validation-set-exp.csv @@ -0,0 +1,412 @@ +dtype,input,output,ulperrortol +## +ve denormals ## +np.float32,0x004b4716,0x3f800000,3 +np.float32,0x007b2490,0x3f800000,3 +np.float32,0x007c99fa,0x3f800000,3 +np.float32,0x00734a0c,0x3f800000,3 +np.float32,0x0070de24,0x3f800000,3 +np.float32,0x00495d65,0x3f800000,3 +np.float32,0x006894f6,0x3f800000,3 +np.float32,0x00555a76,0x3f800000,3 +np.float32,0x004e1fb8,0x3f800000,3 +np.float32,0x00687de9,0x3f800000,3 +## -ve denormals ## +np.float32,0x805b59af,0x3f800000,3 +np.float32,0x807ed8ed,0x3f800000,3 +np.float32,0x807142ad,0x3f800000,3 +np.float32,0x80772002,0x3f800000,3 +np.float32,0x8062abcb,0x3f800000,3 +np.float32,0x8045e31c,0x3f800000,3 +np.float32,0x805f01c2,0x3f800000,3 +np.float32,0x80506432,0x3f800000,3 +np.float32,0x8060089d,0x3f800000,3 +np.float32,0x8071292f,0x3f800000,3 +## floats that output a denormal ## +np.float32,0xc2cf3fc1,0x00000001,3 +np.float32,0xc2c79726,0x00000021,3 +np.float32,0xc2cb295d,0x00000005,3 +np.float32,0xc2b49e6b,0x00068c4c,3 +np.float32,0xc2ca8116,0x00000008,3 +np.float32,0xc2c23f82,0x000001d7,3 +np.float32,0xc2cb69c0,0x00000005,3 +np.float32,0xc2cc1f4d,0x00000003,3 +np.float32,0xc2ae094e,0x00affc4c,3 +np.float32,0xc2c86c44,0x00000015,3 +## random floats between -87.0f and 88.0f ## +np.float32,0x4030d7e0,0x417d9a05,3 +np.float32,0x426f60e8,0x6aa1be2c,3 +np.float32,0x41a1b220,0x4e0efc11,3 +np.float32,0xc20cc722,0x26159da7,3 +np.float32,0x41c492bc,0x512ec79d,3 +np.float32,0x40980210,0x42e73a0e,3 +np.float32,0xbf1f7b80,0x3f094de3,3 +np.float32,0x42a678a4,0x7b87a383,3 +np.float32,0xc20f3cfd,0x25a1c304,3 +np.float32,0x423ff34c,0x6216467f,3 +np.float32,0x00000000,0x3f800000,3 +## floats that cause an overflow ## +np.float32,0x7f06d8c1,0x7f800000,3 +np.float32,0x7f451912,0x7f800000,3 +np.float32,0x7ecceac3,0x7f800000,3 +np.float32,0x7f643b45,0x7f800000,3 +np.float32,0x7e910ea0,0x7f800000,3 +np.float32,0x7eb4756b,0x7f800000,3 +np.float32,0x7f4ec708,0x7f800000,3 +np.float32,0x7f6b4551,0x7f800000,3 +np.float32,0x7d8edbda,0x7f800000,3 +np.float32,0x7f730718,0x7f800000,3 +np.float32,0x42b17217,0x7f7fff84,3 +np.float32,0x42b17218,0x7f800000,3 +np.float32,0x42b17219,0x7f800000,3 +np.float32,0xfef2b0bc,0x00000000,3 +np.float32,0xff69f83e,0x00000000,3 +np.float32,0xff4ecb12,0x00000000,3 +np.float32,0xfeac6d86,0x00000000,3 +np.float32,0xfde0cdb8,0x00000000,3 +np.float32,0xff26aef4,0x00000000,3 +np.float32,0xff6f9277,0x00000000,3 +np.float32,0xff7adfc4,0x00000000,3 +np.float32,0xff0ad40e,0x00000000,3 +np.float32,0xff6fd8f3,0x00000000,3 +np.float32,0xc2cff1b4,0x00000001,3 +np.float32,0xc2cff1b5,0x00000000,3 +np.float32,0xc2cff1b6,0x00000000,3 +np.float32,0x7f800000,0x7f800000,3 +np.float32,0xff800000,0x00000000,3 +np.float32,0x4292f27c,0x7480000a,3 +np.float32,0x42a920be,0x7c7fff94,3 +np.float32,0x41c214c9,0x50ffffd9,3 +np.float32,0x41abe686,0x4effffd9,3 +np.float32,0x4287db5a,0x707fffd3,3 +np.float32,0x41902cbb,0x4c800078,3 +np.float32,0x42609466,0x67ffffeb,3 +np.float32,0x41a65af5,0x4e7fffd1,3 +np.float32,0x417f13ff,0x4affffc9,3 +np.float32,0x426d0e6c,0x6a3504f2,3 +np.float32,0x41bc8934,0x507fff51,3 +np.float32,0x42a7bdde,0x7c0000d6,3 +np.float32,0x4120cf66,0x46b504f6,3 +np.float32,0x4244da8f,0x62ffff1a,3 +np.float32,0x41a0cf69,0x4e000034,3 +np.float32,0x41cd2bec,0x52000005,3 +np.float32,0x42893e41,0x7100009e,3 +np.float32,0x41b437e1,0x4fb50502,3 +np.float32,0x41d8430f,0x5300001d,3 +np.float32,0x4244da92,0x62ffffda,3 +np.float32,0x41a0cf63,0x4dffffa9,3 +np.float32,0x3eb17218,0x3fb504f3,3 +np.float32,0x428729e8,0x703504dc,3 +np.float32,0x41a0cf67,0x4e000014,3 +np.float32,0x4252b77d,0x65800011,3 +np.float32,0x41902cb9,0x4c800058,3 +np.float32,0x42a0cf67,0x79800052,3 +np.float32,0x4152b77b,0x48ffffe9,3 +np.float32,0x41265af3,0x46ffffc8,3 +np.float32,0x42187e0b,0x5affff9a,3 +np.float32,0xc0d2b77c,0x3ab504f6,3 +np.float32,0xc283b2ac,0x10000072,3 +np.float32,0xc1cff1b4,0x2cb504f5,3 +np.float32,0xc05dce9e,0x3d000000,3 +np.float32,0xc28ec9d2,0x0bfffea5,3 +np.float32,0xc23c893a,0x1d7fffde,3 +np.float32,0xc2a920c0,0x027fff6c,3 +np.float32,0xc1f9886f,0x2900002b,3 +np.float32,0xc2c42920,0x000000b5,3 +np.float32,0xc2893e41,0x0dfffec5,3 +np.float32,0xc2c4da93,0x00000080,3 +np.float32,0xc17f1401,0x3400000c,3 +np.float32,0xc1902cb6,0x327fffaf,3 +np.float32,0xc27c4e3b,0x11ffffc5,3 +np.float32,0xc268e5c5,0x157ffe9d,3 +np.float32,0xc2b4e953,0x0005a826,3 +np.float32,0xc287db5a,0x0e800016,3 +np.float32,0xc207db5a,0x2700000b,3 +np.float32,0xc2b2d4fe,0x000ffff1,3 +np.float32,0xc268e5c0,0x157fffdd,3 +np.float32,0xc22920bd,0x2100003b,3 +np.float32,0xc2902caf,0x0b80011e,3 +np.float32,0xc1902cba,0x327fff2f,3 +np.float32,0xc2ca6625,0x00000008,3 +np.float32,0xc280ece8,0x10fffeb5,3 +np.float32,0xc2918f94,0x0b0000ea,3 +np.float32,0xc29b43d5,0x077ffffc,3 +np.float32,0xc1e61ff7,0x2ab504f5,3 +np.float32,0xc2867878,0x0effff15,3 +np.float32,0xc2a2324a,0x04fffff4,3 +#float64 +## near zero ## +np.float64,0x8000000000000000,0x3ff0000000000000,2 +np.float64,0x8010000000000000,0x3ff0000000000000,2 +np.float64,0x8000000000000001,0x3ff0000000000000,2 +np.float64,0x8360000000000000,0x3ff0000000000000,2 +np.float64,0x9a70000000000000,0x3ff0000000000000,2 +np.float64,0xb9b0000000000000,0x3ff0000000000000,2 +np.float64,0xb810000000000000,0x3ff0000000000000,2 +np.float64,0xbc30000000000000,0x3ff0000000000000,2 +np.float64,0xb6a0000000000000,0x3ff0000000000000,2 +np.float64,0x0000000000000000,0x3ff0000000000000,2 +np.float64,0x0010000000000000,0x3ff0000000000000,2 +np.float64,0x0000000000000001,0x3ff0000000000000,2 +np.float64,0x0360000000000000,0x3ff0000000000000,2 +np.float64,0x1a70000000000000,0x3ff0000000000000,2 +np.float64,0x3c30000000000000,0x3ff0000000000000,2 +np.float64,0x36a0000000000000,0x3ff0000000000000,2 +np.float64,0x39b0000000000000,0x3ff0000000000000,2 +np.float64,0x3810000000000000,0x3ff0000000000000,2 +## underflow ## +np.float64,0xc0c6276800000000,0x0000000000000000,2 +np.float64,0xc0c62d918ce2421d,0x0000000000000000,2 +np.float64,0xc0c62d918ce2421e,0x0000000000000000,2 +np.float64,0xc0c62d91a0000000,0x0000000000000000,2 +np.float64,0xc0c62d9180000000,0x0000000000000000,2 +np.float64,0xc0c62dea45ee3e06,0x0000000000000000,2 +np.float64,0xc0c62dea45ee3e07,0x0000000000000000,2 +np.float64,0xc0c62dea40000000,0x0000000000000000,2 +np.float64,0xc0c62dea60000000,0x0000000000000000,2 +np.float64,0xc0875f1120000000,0x0000000000000000,2 +np.float64,0xc0875f113c30b1c8,0x0000000000000000,2 +np.float64,0xc0875f1140000000,0x0000000000000000,2 +np.float64,0xc093480000000000,0x0000000000000000,2 +np.float64,0xffefffffffffffff,0x0000000000000000,2 +np.float64,0xc7efffffe0000000,0x0000000000000000,2 +## overflow ## +np.float64,0x40862e52fefa39ef,0x7ff0000000000000,2 +np.float64,0x40872e42fefa39ef,0x7ff0000000000000,2 +## +/- INF, +/- NAN ## +np.float64,0x7ff0000000000000,0x7ff0000000000000,2 +np.float64,0xfff0000000000000,0x0000000000000000,2 +np.float64,0x7ff8000000000000,0x7ff8000000000000,2 +np.float64,0xfff8000000000000,0xfff8000000000000,2 +## output denormal ## +np.float64,0xc087438520000000,0x0000000000000001,2 +np.float64,0xc08743853f2f4461,0x0000000000000001,2 +np.float64,0xc08743853f2f4460,0x0000000000000001,2 +np.float64,0xc087438540000000,0x0000000000000001,2 +## between -745.13321910 and 709.78271289 ## +np.float64,0xbff760cd14774bd9,0x3fcdb14ced00ceb6,2 +np.float64,0xbff760cd20000000,0x3fcdb14cd7993879,2 +np.float64,0xbff760cd00000000,0x3fcdb14d12fbd264,2 +np.float64,0xc07f1cf360000000,0x130c1b369af14fda,2 +np.float64,0xbeb0000000000000,0x3feffffe00001000,2 +np.float64,0xbd70000000000000,0x3fefffffffffe000,2 +np.float64,0xc084fd46e5c84952,0x0360000000000139,2 +np.float64,0xc084fd46e5c84953,0x035ffffffffffe71,2 +np.float64,0xc084fd46e0000000,0x0360000b9096d32c,2 +np.float64,0xc084fd4700000000,0x035fff9721d12104,2 +np.float64,0xc086232bc0000000,0x0010003af5e64635,2 +np.float64,0xc086232bdd7abcd2,0x001000000000007c,2 +np.float64,0xc086232bdd7abcd3,0x000ffffffffffe7c,2 +np.float64,0xc086232be0000000,0x000ffffaf57a6fc9,2 +np.float64,0xc086233920000000,0x000fe590e3b45eb0,2 +np.float64,0xc086233938000000,0x000fe56133493c57,2 +np.float64,0xc086233940000000,0x000fe5514deffbbc,2 +np.float64,0xc086234c98000000,0x000fbf1024c32ccb,2 +np.float64,0xc086234ca0000000,0x000fbf0065bae78d,2 +np.float64,0xc086234c80000000,0x000fbf3f623a7724,2 +np.float64,0xc086234ec0000000,0x000fbad237c846f9,2 +np.float64,0xc086234ec8000000,0x000fbac27cfdec97,2 +np.float64,0xc086234ee0000000,0x000fba934cfd3dc2,2 +np.float64,0xc086234ef0000000,0x000fba73d7f618d9,2 +np.float64,0xc086234f00000000,0x000fba54632dddc0,2 +np.float64,0xc0862356e0000000,0x000faae0945b761a,2 +np.float64,0xc0862356f0000000,0x000faac13eb9a310,2 +np.float64,0xc086235700000000,0x000faaa1e9567b0a,2 +np.float64,0xc086236020000000,0x000f98cd75c11ed7,2 +np.float64,0xc086236ca0000000,0x000f8081b4d93f89,2 +np.float64,0xc086236cb0000000,0x000f8062b3f4d6c5,2 +np.float64,0xc086236cc0000000,0x000f8043b34e6f8c,2 +np.float64,0xc086238d98000000,0x000f41220d9b0d2c,2 +np.float64,0xc086238da0000000,0x000f4112cc80a01f,2 +np.float64,0xc086238d80000000,0x000f414fd145db5b,2 +np.float64,0xc08624fd00000000,0x000cbfce8ea1e6c4,2 +np.float64,0xc086256080000000,0x000c250747fcd46e,2 +np.float64,0xc08626c480000000,0x000a34f4bd975193,2 +np.float64,0xbf50000000000000,0x3feff800ffeaac00,2 +np.float64,0xbe10000000000000,0x3fefffffff800000,2 +np.float64,0xbcd0000000000000,0x3feffffffffffff8,2 +np.float64,0xc055d589e0000000,0x38100004bf94f63e,2 +np.float64,0xc055d58a00000000,0x380ffff97f292ce8,2 +np.float64,0xbfd962d900000000,0x3fe585a4b00110e1,2 +np.float64,0x3ff4bed280000000,0x400d411e7a58a303,2 +np.float64,0x3fff0b3620000000,0x401bd7737ffffcf3,2 +np.float64,0x3ff0000000000000,0x4005bf0a8b145769,2 +np.float64,0x3eb0000000000000,0x3ff0000100000800,2 +np.float64,0x3d70000000000000,0x3ff0000000001000,2 +np.float64,0x40862e42e0000000,0x7fefff841808287f,2 +np.float64,0x40862e42fefa39ef,0x7fefffffffffff2a,2 +np.float64,0x40862e0000000000,0x7feef85a11e73f2d,2 +np.float64,0x4000000000000000,0x401d8e64b8d4ddae,2 +np.float64,0x4009242920000000,0x40372a52c383a488,2 +np.float64,0x4049000000000000,0x44719103e4080b45,2 +np.float64,0x4008000000000000,0x403415e5bf6fb106,2 +np.float64,0x3f50000000000000,0x3ff00400800aab55,2 +np.float64,0x3e10000000000000,0x3ff0000000400000,2 +np.float64,0x3cd0000000000000,0x3ff0000000000004,2 +np.float64,0x40562e40a0000000,0x47effed088821c3f,2 +np.float64,0x40562e42e0000000,0x47effff082e6c7ff,2 +np.float64,0x40562e4300000000,0x47f00000417184b8,2 +np.float64,0x3fe8000000000000,0x4000ef9db467dcf8,2 +np.float64,0x402b12e8d4f33589,0x412718f68c71a6fe,2 +np.float64,0x402b12e8d4f3358a,0x412718f68c71a70a,2 +np.float64,0x402b12e8c0000000,0x412718f59a7f472e,2 +np.float64,0x402b12e8e0000000,0x412718f70c0eac62,2 +##use 1th entry +np.float64,0x40631659AE147CB4,0x4db3a95025a4890f,2 +np.float64,0xC061B87D2E85A4E2,0x332640c8e2de2c51,2 +np.float64,0x405A4A50BE243AF4,0x496a45e4b7f0339a,2 +np.float64,0xC0839898B98EC5C6,0x0764027828830df4,2 +#use 2th entry +np.float64,0xC072428C44B6537C,0x2596ade838b96f3e,2 +np.float64,0xC053057C5E1AE9BF,0x3912c8fad18fdadf,2 +np.float64,0x407E89C78328BAA3,0x6bfe35d5b9a1a194,2 +np.float64,0x4083501B6DD87112,0x77a855503a38924e,2 +#use 3th entry +np.float64,0x40832C6195F24540,0x7741e73c80e5eb2f,2 +np.float64,0xC083D4CD557C2EC9,0x06b61727c2d2508e,2 +np.float64,0x400C48F5F67C99BD,0x404128820f02b92e,2 +np.float64,0x4056E36D9B2DF26A,0x4830f52ff34a8242,2 +#use 4th entry +np.float64,0x4080FF700D8CBD06,0x70fa70df9bc30f20,2 +np.float64,0x406C276D39E53328,0x543eb8e20a8f4741,2 +np.float64,0xC070D6159BBD8716,0x27a4a0548c904a75,2 +np.float64,0xC052EBCF8ED61F83,0x391c0e92368d15e4,2 +#use 5th entry +np.float64,0xC061F892A8AC5FBE,0x32f807a89efd3869,2 +np.float64,0x4021D885D2DBA085,0x40bd4dc86d3e3270,2 +np.float64,0x40767AEEEE7D4FCF,0x605e22851ee2afb7,2 +np.float64,0xC0757C5D75D08C80,0x20f0751599b992a2,2 +#use 6th entry +np.float64,0x405ACF7A284C4CE3,0x499a4e0b7a27027c,2 +np.float64,0xC085A6C9E80D7AF5,0x0175914009d62ec2,2 +np.float64,0xC07E4C02F86F1DAE,0x1439269b29a9231e,2 +np.float64,0x4080D80F9691CC87,0x7088a6cdafb041de,2 +#use 7th entry +np.float64,0x407FDFD84FBA0AC1,0x6deb1ae6f9bc4767,2 +np.float64,0x40630C06A1A2213D,0x4dac7a9d51a838b7,2 +np.float64,0x40685FDB30BB8B4F,0x5183f5cc2cac9e79,2 +np.float64,0x408045A2208F77F4,0x6ee299e08e2aa2f0,2 +#use 8th entry +np.float64,0xC08104E391F5078B,0x0ed397b7cbfbd230,2 +np.float64,0xC031501CAEFAE395,0x3e6040fd1ea35085,2 +np.float64,0xC079229124F6247C,0x1babf4f923306b1e,2 +np.float64,0x407FB65F44600435,0x6db03beaf2512b8a,2 +#use 9th entry +np.float64,0xC07EDEE8E8E8A5AC,0x136536cec9cbef48,2 +np.float64,0x4072BB4086099A14,0x5af4d3c3008b56cc,2 +np.float64,0x4050442A2EC42CB4,0x45cd393bd8fad357,2 +np.float64,0xC06AC28FB3D419B4,0x2ca1b9d3437df85f,2 +#use 10th entry +np.float64,0x40567FC6F0A68076,0x480c977fd5f3122e,2 +np.float64,0x40620A2F7EDA59BB,0x4cf278e96f4ce4d7,2 +np.float64,0xC085044707CD557C,0x034aad6c968a045a,2 +np.float64,0xC07374EA5AC516AA,0x23dd6afdc03e83d5,2 +#use 11th entry +np.float64,0x4073CC95332619C1,0x5c804b1498bbaa54,2 +np.float64,0xC0799FEBBE257F31,0x1af6a954c43b87d2,2 +np.float64,0x408159F19EA424F6,0x7200858efcbfc84d,2 +np.float64,0x404A81F6F24C0792,0x44b664a07ce5bbfa,2 +#use 12th entry +np.float64,0x40295FF1EFB9A741,0x4113c0e74c52d7b0,2 +np.float64,0x4073975F4CC411DA,0x5c32be40b4fec2c1,2 +np.float64,0x406E9DE52E82A77E,0x56049c9a3f1ae089,2 +np.float64,0x40748C2F52560ED9,0x5d93bc14fd4cd23b,2 +#use 13th entry +np.float64,0x4062A553CDC4D04C,0x4d6266bfde301318,2 +np.float64,0xC079EC1D63598AB7,0x1a88cb184dab224c,2 +np.float64,0xC0725C1CB3167427,0x25725b46f8a081f6,2 +np.float64,0x407888771D9B45F9,0x6353b1ec6bd7ce80,2 +#use 14th entry +np.float64,0xC082CBA03AA89807,0x09b383723831ce56,2 +np.float64,0xC083A8961BB67DD7,0x0735b118d5275552,2 +np.float64,0xC076BC6ECA12E7E3,0x1f2222679eaef615,2 +np.float64,0xC072752503AA1A5B,0x254eb832242c77e1,2 +#use 15th entry +np.float64,0xC058800792125DEC,0x371882372a0b48d4,2 +np.float64,0x4082909FD863E81C,0x7580d5f386920142,2 +np.float64,0xC071616F8FB534F9,0x26dbe20ef64a412b,2 +np.float64,0x406D1AB571CAA747,0x54ee0d55cb38ac20,2 +#use 16th entry +np.float64,0x406956428B7DAD09,0x52358682c271237f,2 +np.float64,0xC07EFC2D9D17B621,0x133b3e77c27a4d45,2 +np.float64,0xC08469BAC5BA3CCA,0x050863e5f42cc52f,2 +np.float64,0x407189D9626386A5,0x593cb1c0b3b5c1d3,2 +#use 17th entry +np.float64,0x4077E652E3DEB8C6,0x6269a10dcbd3c752,2 +np.float64,0x407674C97DB06878,0x605485dcc2426ec2,2 +np.float64,0xC07CE9969CF4268D,0x16386cf8996669f2,2 +np.float64,0x40780EE32D5847C4,0x62a436bd1abe108d,2 +#use 18th entry +np.float64,0x4076C3AA5E1E8DA1,0x60c62f56a5e72e24,2 +np.float64,0xC0730AFC7239B9BE,0x24758ead095cec1e,2 +np.float64,0xC085CC2B9C420DDB,0x0109cdaa2e5694c1,2 +np.float64,0x406D0765CB6D7AA4,0x54e06f8dd91bd945,2 +#use 19th entry +np.float64,0xC082D011F3B495E7,0x09a6647661d279c2,2 +np.float64,0xC072826AF8F6AFBC,0x253acd3cd224507e,2 +np.float64,0x404EB9C4810CEA09,0x457933dbf07e8133,2 +np.float64,0x408284FBC97C58CE,0x755f6eb234aa4b98,2 +#use 20th entry +np.float64,0x40856008CF6EDC63,0x7d9c0b3c03f4f73c,2 +np.float64,0xC077CB2E9F013B17,0x1d9b3d3a166a55db,2 +np.float64,0xC0479CA3C20AD057,0x3bad40e081555b99,2 +np.float64,0x40844CD31107332A,0x7a821d70aea478e2,2 +#use 21th entry +np.float64,0xC07C8FCC0BFCC844,0x16ba1cc8c539d19b,2 +np.float64,0xC085C4E9A3ABA488,0x011ff675ba1a2217,2 +np.float64,0x4074D538B32966E5,0x5dfd9d78043c6ad9,2 +np.float64,0xC0630CA16902AD46,0x3231a446074cede6,2 +#use 22th entry +np.float64,0xC06C826733D7D0B7,0x2b5f1078314d41e1,2 +np.float64,0xC0520DF55B2B907F,0x396c13a6ce8e833e,2 +np.float64,0xC080712072B0F437,0x107eae02d11d98ea,2 +np.float64,0x40528A6150E19EFB,0x469fdabda02228c5,2 +#use 23th entry +np.float64,0xC07B1D74B6586451,0x18d1253883ae3b48,2 +np.float64,0x4045AFD7867DAEC0,0x43d7d634fc4c5d98,2 +np.float64,0xC07A08B91F9ED3E2,0x1a60973e6397fc37,2 +np.float64,0x407B3ECF0AE21C8C,0x673e03e9d98d7235,2 +#use 24th entry +np.float64,0xC078AEB6F30CEABF,0x1c530b93ab54a1b3,2 +np.float64,0x4084495006A41672,0x7a775b6dc7e63064,2 +np.float64,0x40830B1C0EBF95DD,0x76e1e6eed77cfb89,2 +np.float64,0x407D93E8F33D8470,0x6a9adbc9e1e4f1e5,2 +#use 25th entry +np.float64,0x4066B11A09EFD9E8,0x504dd528065c28a7,2 +np.float64,0x408545823723AEEB,0x7d504a9b1844f594,2 +np.float64,0xC068C711F2CA3362,0x2e104f3496ea118e,2 +np.float64,0x407F317FCC3CA873,0x6cf0732c9948ebf4,2 +#use 26th entry +np.float64,0x407AFB3EBA2ED50F,0x66dc28a129c868d5,2 +np.float64,0xC075377037708ADE,0x21531a329f3d793e,2 +np.float64,0xC07C30066A1F3246,0x174448baa16ded2b,2 +np.float64,0xC06689A75DE2ABD3,0x2fad70662fae230b,2 +#use 27th entry +np.float64,0x4081514E9FCCF1E0,0x71e673b9efd15f44,2 +np.float64,0xC0762C710AF68460,0x1ff1ed7d8947fe43,2 +np.float64,0xC0468102FF70D9C4,0x3be0c3a8ff3419a3,2 +np.float64,0xC07EA4CEEF02A83E,0x13b908f085102c61,2 +#use 28th entry +np.float64,0xC06290B04AE823C4,0x328a83da3c2e3351,2 +np.float64,0xC0770EB1D1C395FB,0x1eab281c1f1db5fe,2 +np.float64,0xC06F5D4D838A5BAE,0x29500ea32fb474ea,2 +np.float64,0x40723B3133B54C5D,0x5a3c82c7c3a2b848,2 +#use 29th entry +np.float64,0x4085E6454CE3B4AA,0x7f20319b9638d06a,2 +np.float64,0x408389F2A0585D4B,0x7850667c58aab3d0,2 +np.float64,0xC0382798F9C8AE69,0x3dc1c79fe8739d6d,2 +np.float64,0xC08299D827608418,0x0a4335f76cdbaeb5,2 +#use 30th entry +np.float64,0xC06F3DED43301BF1,0x2965670ae46750a8,2 +np.float64,0xC070CAF6BDD577D9,0x27b4aa4ffdd29981,2 +np.float64,0x4078529AD4B2D9F2,0x6305c12755d5e0a6,2 +np.float64,0xC055B14E75A31B96,0x381c2eda6d111e5d,2 +#use 31th entry +np.float64,0x407B13EE414FA931,0x6700772c7544564d,2 +np.float64,0x407EAFDE9DE3EC54,0x6c346a0e49724a3c,2 +np.float64,0xC08362F398B9530D,0x07ffeddbadf980cb,2 +np.float64,0x407E865CDD9EEB86,0x6bf866cac5e0d126,2 +#use 32th entry +np.float64,0x407FB62DBC794C86,0x6db009f708ac62cb,2 +np.float64,0xC063D0BAA68CDDDE,0x31a3b2a51ce50430,2 +np.float64,0xC05E7706A2231394,0x34f24bead6fab5c9,2 +np.float64,0x4083E3A06FDE444E,0x79527b7a386d1937,2 diff --git a/lib/python3.12/site-packages/numpy/core/tests/data/umath-validation-set-exp2.csv b/lib/python3.12/site-packages/numpy/core/tests/data/umath-validation-set-exp2.csv new file mode 100644 index 0000000000000000000000000000000000000000..e19e9ebd628560f0982e76bd8127b46e8d67ecad --- /dev/null +++ b/lib/python3.12/site-packages/numpy/core/tests/data/umath-validation-set-exp2.csv @@ -0,0 +1,1429 @@ +dtype,input,output,ulperrortol +np.float32,0xbdfe94b0,0x3f6adda6,2 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b/lib/python3.12/site-packages/numpy/core/tests/data/umath-validation-set-log.csv @@ -0,0 +1,271 @@ +dtype,input,output,ulperrortol +## +ve denormals ## +np.float32,0x004b4716,0xc2afbc1b,4 +np.float32,0x007b2490,0xc2aec01e,4 +np.float32,0x007c99fa,0xc2aeba17,4 +np.float32,0x00734a0c,0xc2aee1dc,4 +np.float32,0x0070de24,0xc2aeecba,4 +np.float32,0x007fffff,0xc2aeac50,4 +np.float32,0x00000001,0xc2ce8ed0,4 +## -ve denormals ## +np.float32,0x80495d65,0xffc00000,4 +np.float32,0x806894f6,0xffc00000,4 +np.float32,0x80555a76,0xffc00000,4 +np.float32,0x804e1fb8,0xffc00000,4 +np.float32,0x80687de9,0xffc00000,4 +np.float32,0x807fffff,0xffc00000,4 +np.float32,0x80000001,0xffc00000,4 +## +/-0.0f, +/-FLT_MIN +/-FLT_MAX ## +np.float32,0x00000000,0xff800000,4 +np.float32,0x80000000,0xff800000,4 +np.float32,0x7f7fffff,0x42b17218,4 +np.float32,0x80800000,0xffc00000,4 +np.float32,0xff7fffff,0xffc00000,4 +## 1.00f + 0x00000001 ## +np.float32,0x3f800000,0x00000000,4 +np.float32,0x3f800001,0x33ffffff,4 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+np.float32,0x3f485bda,0xbe7af308,4 +np.float32,0x3f47a660,0xbe7e942c,4 +np.float32,0x3f47d4d5,0xbe7da600,4 +np.float32,0x3f4b0a26,0xbe6d56be,4 +np.float32,0x3f4a4883,0xbe712924,4 +np.float32,0x3f4769e7,0xbe7fca84,4 +np.float32,0x3f499702,0xbe74ad3f,4 +np.float32,0x3f494ab1,0xbe763131,4 +np.float32,0x3f476b69,0xbe7fc2c6,4 +np.float32,0x3f4884e8,0xbe7a214a,4 +np.float32,0x3f486945,0xbe7aae76,4 +#float64 +## +ve denormal ## +np.float64,0x0000000000000001,0xc0874385446d71c3,2 +np.float64,0x0001000000000000,0xc086395a2079b70c,2 +np.float64,0x000fffffffffffff,0xc086232bdd7abcd2,2 +np.float64,0x0007ad63e2168cb6,0xc086290bc0b2980f,2 +## -ve denormal ## +np.float64,0x8000000000000001,0xfff8000000000001,2 +np.float64,0x8001000000000000,0xfff8000000000001,2 +np.float64,0x800fffffffffffff,0xfff8000000000001,2 +np.float64,0x8007ad63e2168cb6,0xfff8000000000001,2 +## +/-0.0f, MAX, MIN## +np.float64,0x0000000000000000,0xfff0000000000000,2 +np.float64,0x8000000000000000,0xfff0000000000000,2 +np.float64,0x7fefffffffffffff,0x40862e42fefa39ef,2 +np.float64,0xffefffffffffffff,0xfff8000000000001,2 +## near 1.0f ## +np.float64,0x3ff0000000000000,0x0000000000000000,2 +np.float64,0x3fe8000000000000,0xbfd269621134db92,2 +np.float64,0x3ff0000000000001,0x3cafffffffffffff,2 +np.float64,0x3ff0000020000000,0x3e7fffffe000002b,2 +np.float64,0x3ff0000000000001,0x3cafffffffffffff,2 +np.float64,0x3fefffffe0000000,0xbe70000008000005,2 +np.float64,0x3fefffffffffffff,0xbca0000000000000,2 +## random numbers ## +np.float64,0x02500186f3d9da56,0xc0855b8abf135773,2 +np.float64,0x09200815a3951173,0xc082ff1ad7131bdc,2 +np.float64,0x0da029623b0243d4,0xc0816fc994695bb5,2 +np.float64,0x48703b8ac483a382,0x40579213a313490b,2 +np.float64,0x09207b74c87c9860,0xc082fee20ff349ef,2 +np.float64,0x62c077698e8df947,0x407821c996d110f0,2 +np.float64,0x2350b45e87c3cfb0,0xc073d6b16b51d072,2 +np.float64,0x3990a23f9ff2b623,0xc051aa60eadd8c61,2 +np.float64,0x0d011386a116c348,0xc081a6cc7ea3b8fb,2 +np.float64,0x1fe0f0303ebe273a,0xc0763870b78a81ca,2 +np.float64,0x0cd1260121d387da,0xc081b7668d61a9d1,2 +np.float64,0x1e6135a8f581d422,0xc077425ac10f08c2,2 +np.float64,0x622168db5fe52d30,0x4077b3c669b9fadb,2 +np.float64,0x69f188e1ec6d1718,0x407d1e2f18c63889,2 +np.float64,0x3aa1bf1d9c4dd1a3,0xc04d682e24bde479,2 +np.float64,0x6c81c4011ce4f683,0x407ee5190e8a8e6a,2 +np.float64,0x2191fa55aa5a5095,0xc0750c0c318b5e2d,2 +np.float64,0x32a1f602a32bf360,0xc06270caa493fc17,2 +np.float64,0x16023c90ba93249b,0xc07d0f88e0801638,2 +np.float64,0x1c525fe6d71fa9ff,0xc078af49c66a5d63,2 +np.float64,0x1a927675815d65b7,0xc079e5bdd7fe376e,2 +np.float64,0x41227b8fe70da028,0x402aa0c9f9a84c71,2 +np.float64,0x4962bb6e853fe87d,0x405a34aa04c83747,2 +np.float64,0x23d2cda00b26b5a4,0xc0737c13a06d00ea,2 +np.float64,0x2d13083fd62987fa,0xc06a25055aeb474e,2 +np.float64,0x10e31e4c9b4579a1,0xc0804e181929418e,2 +np.float64,0x26d3247d556a86a9,0xc0716774171da7e8,2 +np.float64,0x6603379398d0d4ac,0x407a64f51f8a887b,2 +np.float64,0x02d38af17d9442ba,0xc0852d955ac9dd68,2 +np.float64,0x6a2382b4818dd967,0x407d4129d688e5d4,2 +np.float64,0x2ee3c403c79b3934,0xc067a091fefaf8b6,2 +np.float64,0x6493a699acdbf1a4,0x4079663c8602bfc5,2 +np.float64,0x1c8413c4f0de3100,0xc0788c99697059b6,2 +np.float64,0x4573f1ed350d9622,0x404e9bd1e4c08920,2 +np.float64,0x2f34265c9200b69c,0xc067310cfea4e986,2 +np.float64,0x19b43e65fa22029b,0xc07a7f8877de22d6,2 +np.float64,0x0af48ab7925ed6bc,0xc0825c4fbc0e5ade,2 +np.float64,0x4fa49699cad82542,0x4065c76d2a318235,2 +np.float64,0x7204a15e56ade492,0x40815bb87484dffb,2 +np.float64,0x4734aa08a230982d,0x40542a4bf7a361a9,2 +np.float64,0x1ae4ed296c2fd749,0xc079ac4921f20abb,2 +np.float64,0x472514ea4370289c,0x4053ff372bd8f18f,2 +np.float64,0x53a54b3f73820430,0x406b5411fc5f2e33,2 +np.float64,0x64754de5a15684fa,0x407951592e99a5ab,2 +np.float64,0x69358e279868a7c3,0x407c9c671a882c31,2 +np.float64,0x284579ec61215945,0xc0706688e55f0927,2 +np.float64,0x68b5c58806447adc,0x407c43d6f4eff760,2 +np.float64,0x1945a83f98b0e65d,0xc07acc15eeb032cc,2 +np.float64,0x0fc5eb98a16578bf,0xc080b0d02eddca0e,2 +np.float64,0x6a75e208f5784250,0x407d7a7383bf8f05,2 +np.float64,0x0fe63a029c47645d,0xc080a59ca1e98866,2 +np.float64,0x37963ac53f065510,0xc057236281f7bdb6,2 +np.float64,0x135661bb07067ff7,0xc07ee924930c21e4,2 +np.float64,0x4b4699469d458422,0x405f73843756e887,2 +np.float64,0x1a66d73e4bf4881b,0xc07a039ba1c63adf,2 +np.float64,0x12a6b9b119a7da59,0xc07f62e49c6431f3,2 +np.float64,0x24c719aa8fd1bdb5,0xc072d26da4bf84d3,2 +np.float64,0x0fa6ff524ffef314,0xc080bb8514662e77,2 +np.float64,0x1db751d66fdd4a9a,0xc077b77cb50d7c92,2 +np.float64,0x4947374c516da82c,0x4059e9acfc7105bf,2 +np.float64,0x1b1771ab98f3afc8,0xc07989326b8e1f66,2 +np.float64,0x25e78805baac8070,0xc0720a818e6ef080,2 +np.float64,0x4bd7a148225d3687,0x406082d004ea3ee7,2 +np.float64,0x53d7d6b2bbbda00a,0x406b9a398967cbd5,2 +np.float64,0x6997fb9f4e1c685f,0x407ce0a703413eba,2 +np.float64,0x069802c2ff71b951,0xc083df39bf7acddc,2 +np.float64,0x4d683ac9890f66d8,0x4062ae21d8c2acf0,2 +np.float64,0x5a2825863ec14f4c,0x40722d718d549552,2 +np.float64,0x0398799a88f4db80,0xc084e93dab8e2158,2 +np.float64,0x5ed87a8b77e135a5,0x40756d7051777b33,2 +np.float64,0x5828cd6d79b9bede,0x4070cafb22fc6ca1,2 +np.float64,0x7b18ba2a5ec6f068,0x408481386b3ed6fe,2 +np.float64,0x4938fd60922198fe,0x4059c206b762ea7e,2 +np.float64,0x31b8f44fcdd1a46e,0xc063b2faa8b6434e,2 +np.float64,0x5729341c0d918464,0x407019cac0c4a7d7,2 +np.float64,0x13595e9228ee878e,0xc07ee7235a7d8088,2 +np.float64,0x17698b0dc9dd4135,0xc07c1627e3a5ad5f,2 +np.float64,0x63b977c283abb0cc,0x4078cf1ec6ed65be,2 +np.float64,0x7349cc0d4dc16943,0x4081cc697ce4cb53,2 +np.float64,0x4e49a80b732fb28d,0x4063e67e3c5cbe90,2 +np.float64,0x07ba14b848a8ae02,0xc0837ac032a094e0,2 +np.float64,0x3da9f17b691bfddc,0xc03929c25366acda,2 +np.float64,0x02ea39aa6c3ac007,0xc08525af6f21e1c4,2 +np.float64,0x3a6a42f04ed9563d,0xc04e98e825dca46b,2 +np.float64,0x1afa877cd7900be7,0xc0799d6648cb34a9,2 +np.float64,0x58ea986649e052c6,0x4071512e939ad790,2 +np.float64,0x691abbc04647f536,0x407c89aaae0fcb83,2 +np.float64,0x43aabc5063e6f284,0x4044b45d18106fd2,2 +np.float64,0x488b003c893e0bea,0x4057df012a2dafbe,2 +np.float64,0x77eb076ed67caee5,0x40836720de94769e,2 +np.float64,0x5c1b46974aba46f4,0x40738731ba256007,2 +np.float64,0x1a5b29ecb5d3c261,0xc07a0becc77040d6,2 +np.float64,0x5d8b6ccf868c6032,0x4074865c1865e2db,2 +np.float64,0x4cfb6690b4aaf5af,0x406216cd8c7e8ddb,2 +np.float64,0x76cbd8eb5c5fc39e,0x4083038dc66d682b,2 +np.float64,0x28bbd1fec5012814,0xc07014c2dd1b9711,2 +np.float64,0x33dc1b3a4fd6bf7a,0xc060bd0756e07d8a,2 +np.float64,0x52bbe89b37de99f3,0x406a10041aa7d343,2 +np.float64,0x07bc479d15eb2dd3,0xc0837a1a6e3a3b61,2 +np.float64,0x18fc5275711a901d,0xc07aff3e9d62bc93,2 +np.float64,0x114c9758e247dc71,0xc080299a7cf15b05,2 +np.float64,0x25ac8f6d60755148,0xc07233c4c0c511d4,2 +np.float64,0x260cae2bb9e9fd7e,0xc071f128c7e82eac,2 +np.float64,0x572ccdfe0241de82,0x40701bedc84bb504,2 +np.float64,0x0ddcef6c8d41f5ee,0xc0815a7e16d07084,2 +np.float64,0x6dad1d59c988af68,0x407fb4a0bc0142b1,2 +np.float64,0x025d200580d8b6d1,0xc08556c0bc32b1b2,2 +np.float64,0x7aad344b6aa74c18,0x40845bbc453f22be,2 +np.float64,0x5b5d9d6ad9d14429,0x4073036d2d21f382,2 +np.float64,0x49cd8d8dcdf19954,0x405b5c034f5c7353,2 +np.float64,0x63edb9483335c1e6,0x4078f2dd21378786,2 +np.float64,0x7b1dd64c9d2c26bd,0x408482b922017bc9,2 +np.float64,0x782e13e0b574be5f,0x40837e2a0090a5ad,2 +np.float64,0x592dfe18b9d6db2f,0x40717f777fbcb1ec,2 +np.float64,0x654e3232ac60d72c,0x4079e71a95a70446,2 +np.float64,0x7b8e42ad22091456,0x4084a9a6f1e61722,2 +np.float64,0x570e88dfd5860ae6,0x407006ae6c0d137a,2 +np.float64,0x294e98346cb98ef1,0xc06f5edaac12bd44,2 +np.float64,0x1adeaa4ab792e642,0xc079b1431d5e2633,2 +np.float64,0x7b6ead3377529ac8,0x40849eabc8c7683c,2 +np.float64,0x2b8eedae8a9b2928,0xc06c400054deef11,2 +np.float64,0x65defb45b2dcf660,0x407a4b53f181c05a,2 +np.float64,0x1baf582d475e7701,0xc07920bcad4a502c,2 +np.float64,0x461f39cf05a0f15a,0x405126368f984fa1,2 +np.float64,0x7e5f6f5dcfff005b,0x4085a37d610439b4,2 +np.float64,0x136f66e4d09bd662,0xc07ed8a2719f2511,2 +np.float64,0x65afd8983fb6ca1f,0x407a2a7f48bf7fc1,2 +np.float64,0x572fa7f95ed22319,0x40701d706cf82e6f,2 diff --git a/lib/python3.12/site-packages/numpy/core/tests/data/umath-validation-set-log10.csv b/lib/python3.12/site-packages/numpy/core/tests/data/umath-validation-set-log10.csv new file mode 100644 index 0000000000000000000000000000000000000000..7f5241a2e03d6f1d21f19a3a07986daf201d6cfb --- /dev/null +++ b/lib/python3.12/site-packages/numpy/core/tests/data/umath-validation-set-log10.csv @@ -0,0 +1,1629 @@ +dtype,input,output,ulperrortol +np.float32,0x3f6fd5c8,0xbce80e8e,4 +np.float32,0x3ea4ab17,0xbefc3deb,4 +np.float32,0x3e87a133,0xbf13b0b7,4 +np.float32,0x3f0d9069,0xbe83bb19,4 +np.float32,0x3f7b9269,0xbbf84f47,4 +np.float32,0x3f7a9ffa,0xbc16fd97,4 +np.float32,0x7f535d34,0x4219cb66,4 +np.float32,0x3e79ad7c,0xbf1ce857,4 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+np.float64,0xe200b0cfc4016,0xc08ff1703cfb8e79,2 +np.float64,0x3fe230ea7e2461d5,0xbfea132d2385160e,2 +np.float64,0x7fd1f7ced723ef9d,0x408ff156bfbf92a4,2 +np.float64,0x3fea762818f4ec50,0xbfd18c12a88e5f79,2 +np.float64,0x7feea4ba7c7d4974,0x408fff8004164054,2 +np.float64,0x833ec605067d9,0xc08ff7b606383841,2 +np.float64,0x7fd0c2d7fea185af,0x408ff0894f3a0cf4,2 +np.float64,0x3fe1d7d61d23afac,0xbfeaf76fee875d3e,2 +np.float64,0x65adecb0cb5be,0xc08ffaa82cb09d68,2 diff --git a/lib/python3.12/site-packages/numpy/core/tests/data/umath-validation-set-sin.csv b/lib/python3.12/site-packages/numpy/core/tests/data/umath-validation-set-sin.csv new file mode 100644 index 0000000000000000000000000000000000000000..03e76ffc2c222772e872908e147d4347effc1626 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/core/tests/data/umath-validation-set-sin.csv @@ -0,0 +1,1370 @@ +dtype,input,output,ulperrortol +## +ve denormals ## +np.float32,0x004b4716,0x004b4716,2 +np.float32,0x007b2490,0x007b2490,2 +np.float32,0x007c99fa,0x007c99fa,2 +np.float32,0x00734a0c,0x00734a0c,2 +np.float32,0x0070de24,0x0070de24,2 +np.float32,0x007fffff,0x007fffff,2 +np.float32,0x00000001,0x00000001,2 +## -ve denormals ## +np.float32,0x80495d65,0x80495d65,2 +np.float32,0x806894f6,0x806894f6,2 +np.float32,0x80555a76,0x80555a76,2 +np.float32,0x804e1fb8,0x804e1fb8,2 +np.float32,0x80687de9,0x80687de9,2 +np.float32,0x807fffff,0x807fffff,2 +np.float32,0x80000001,0x80000001,2 +## +/-0.0f, +/-FLT_MIN +/-FLT_MAX ## +np.float32,0x00000000,0x00000000,2 +np.float32,0x80000000,0x80000000,2 +np.float32,0x00800000,0x00800000,2 +np.float32,0x80800000,0x80800000,2 +## 1.00f ## +np.float32,0x3f800000,0x3f576aa4,2 +np.float32,0x3f800001,0x3f576aa6,2 +np.float32,0x3f800002,0x3f576aa7,2 +np.float32,0xc090a8b0,0x3f7b4e48,2 +np.float32,0x41ce3184,0x3f192d43,2 +np.float32,0xc1d85848,0xbf7161cb,2 +np.float32,0x402b8820,0x3ee3f29f,2 +np.float32,0x42b4e454,0x3f1d0151,2 +np.float32,0x42a67a60,0x3f7ffa4c,2 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100644 index 0000000000000000000000000000000000000000..f235d4004b0f8bb4ab672789641f245dae520cd2 Binary files /dev/null and b/lib/python3.12/site-packages/numpy/core/tests/examples/cython/__pycache__/setup.cpython-312.pyc differ diff --git a/lib/python3.12/site-packages/numpy/core/tests/examples/cython/meson.build b/lib/python3.12/site-packages/numpy/core/tests/examples/cython/meson.build new file mode 100644 index 0000000000000000000000000000000000000000..836b74ac3866b73cb2680829c67e1b6e29399877 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/core/tests/examples/cython/meson.build @@ -0,0 +1,36 @@ +project('checks', 'c', 'cython') + +py = import('python').find_installation(pure: false) + +cc = meson.get_compiler('c') +cy = meson.get_compiler('cython') + +if not cy.version().version_compare('>=0.29.35') + error('tests requires Cython >= 0.29.35') +endif + +npy_include_path = run_command(py, [ + '-c', + 'import os; os.chdir(".."); import numpy; print(os.path.abspath(numpy.get_include()))' + ], check: true).stdout().strip() + +npy_path = run_command(py, [ + '-c', + 'import os; os.chdir(".."); import numpy; print(os.path.dirname(numpy.__file__).removesuffix("numpy"))' + ], check: true).stdout().strip() + +# TODO: This is a hack due to gh-25135, where cython may not find the right +# __init__.pyd file. +add_project_arguments('-I', npy_path, language : 'cython') + +py.extension_module( + 'checks', + 'checks.pyx', + install: false, + c_args: [ + '-DNPY_NO_DEPRECATED_API=0', # Cython still uses old NumPy C API + # Require 1.25+ to test datetime additions + '-DNPY_TARGET_VERSION=NPY_2_0_API_VERSION', + ], + include_directories: [npy_include_path], +) diff --git a/lib/python3.12/site-packages/numpy/core/tests/examples/limited_api/__pycache__/setup.cpython-312.pyc b/lib/python3.12/site-packages/numpy/core/tests/examples/limited_api/__pycache__/setup.cpython-312.pyc new file mode 100644 index 0000000000000000000000000000000000000000..7ca1587135a065f3232ee706f8c6b8d40102f877 Binary files /dev/null and b/lib/python3.12/site-packages/numpy/core/tests/examples/limited_api/__pycache__/setup.cpython-312.pyc differ diff --git a/lib/python3.12/site-packages/numpy/core/tests/examples/limited_api/limited_api.c b/lib/python3.12/site-packages/numpy/core/tests/examples/limited_api/limited_api.c new file mode 100644 index 0000000000000000000000000000000000000000..698c54c577069cdb25fb69ead7b28acd5d21d3a1 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/core/tests/examples/limited_api/limited_api.c @@ -0,0 +1,17 @@ +#define Py_LIMITED_API 0x03060000 + +#include +#include +#include + +static PyModuleDef moduledef = { + .m_base = PyModuleDef_HEAD_INIT, + .m_name = "limited_api" +}; + +PyMODINIT_FUNC PyInit_limited_api(void) +{ + import_array(); + import_umath(); + return PyModule_Create(&moduledef); +} diff --git a/lib/python3.12/site-packages/numpy/core/tests/examples/limited_api/setup.py b/lib/python3.12/site-packages/numpy/core/tests/examples/limited_api/setup.py new file mode 100644 index 0000000000000000000000000000000000000000..18747dc80896c087f37a878674e7c3c34bbd1e3f --- /dev/null +++ b/lib/python3.12/site-packages/numpy/core/tests/examples/limited_api/setup.py @@ -0,0 +1,22 @@ +""" +Build an example package using the limited Python C API. +""" + +import numpy as np +from setuptools import setup, Extension +import os + +macros = [("NPY_NO_DEPRECATED_API", 0), ("Py_LIMITED_API", "0x03060000")] + +limited_api = Extension( + "limited_api", + sources=[os.path.join('.', "limited_api.c")], + include_dirs=[np.get_include()], + define_macros=macros, +) + +extensions = [limited_api] + +setup( + ext_modules=extensions +) diff --git a/lib/python3.12/site-packages/numpy/doc/__init__.py b/lib/python3.12/site-packages/numpy/doc/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..8a944fecd865487e489ecefb90700f5eed38cd44 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/doc/__init__.py @@ -0,0 +1,26 @@ +import os + +ref_dir = os.path.join(os.path.dirname(__file__)) + +__all__ = sorted(f[:-3] for f in os.listdir(ref_dir) if f.endswith('.py') and + not f.startswith('__')) + +for f in __all__: + __import__(__name__ + '.' + f) + +del f, ref_dir + +__doc__ = """\ +Topical documentation +===================== + +The following topics are available: +%s + +You can view them by + +>>> help(np.doc.TOPIC) #doctest: +SKIP + +""" % '\n- '.join([''] + __all__) + +__all__.extend(['__doc__']) diff --git a/lib/python3.12/site-packages/numpy/doc/__pycache__/__init__.cpython-312.pyc b/lib/python3.12/site-packages/numpy/doc/__pycache__/__init__.cpython-312.pyc new file mode 100644 index 0000000000000000000000000000000000000000..e3e36d018e54510b8ce344e1466aac634b31f8d4 Binary files /dev/null and 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index 0000000000000000000000000000000000000000..4db5c639047fc3de2c519b2ca1f6b8d525469900 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/doc/constants.py @@ -0,0 +1,412 @@ +""" +========= +Constants +========= + +.. currentmodule:: numpy + +NumPy includes several constants: + +%(constant_list)s +""" +# +# Note: the docstring is autogenerated. +# +import re +import textwrap + +# Maintain same format as in numpy.add_newdocs +constants = [] +def add_newdoc(module, name, doc): + constants.append((name, doc)) + +add_newdoc('numpy', 'pi', + """ + ``pi = 3.1415926535897932384626433...`` + + References + ---------- + https://en.wikipedia.org/wiki/Pi + + """) + +add_newdoc('numpy', 'e', + """ + Euler's constant, base of natural logarithms, Napier's constant. + + ``e = 2.71828182845904523536028747135266249775724709369995...`` + + See Also + -------- + exp : Exponential function + log : Natural logarithm + + References + ---------- + https://en.wikipedia.org/wiki/E_%28mathematical_constant%29 + + """) + +add_newdoc('numpy', 'euler_gamma', + """ + ``γ = 0.5772156649015328606065120900824024310421...`` + + References + ---------- + https://en.wikipedia.org/wiki/Euler-Mascheroni_constant + + """) + +add_newdoc('numpy', 'inf', + """ + IEEE 754 floating point representation of (positive) infinity. + + Returns + ------- + y : float + A floating point representation of positive infinity. + + See Also + -------- + isinf : Shows which elements are positive or negative infinity + + isposinf : Shows which elements are positive infinity + + isneginf : Shows which elements are negative infinity + + isnan : Shows which elements are Not a Number + + isfinite : Shows which elements are finite (not one of Not a Number, + positive infinity and negative infinity) + + Notes + ----- + NumPy uses the IEEE Standard for Binary Floating-Point for Arithmetic + (IEEE 754). This means that Not a Number is not equivalent to infinity. + Also that positive infinity is not equivalent to negative infinity. But + infinity is equivalent to positive infinity. + + `Inf`, `Infinity`, `PINF` and `infty` are aliases for `inf`. + + Examples + -------- + >>> np.inf + inf + >>> np.array([1]) / 0. + array([ Inf]) + + """) + +add_newdoc('numpy', 'nan', + """ + IEEE 754 floating point representation of Not a Number (NaN). + + Returns + ------- + y : A floating point representation of Not a Number. + + See Also + -------- + isnan : Shows which elements are Not a Number. + + isfinite : Shows which elements are finite (not one of + Not a Number, positive infinity and negative infinity) + + Notes + ----- + NumPy uses the IEEE Standard for Binary Floating-Point for Arithmetic + (IEEE 754). This means that Not a Number is not equivalent to infinity. + + `NaN` and `NAN` are aliases of `nan`. + + Examples + -------- + >>> np.nan + nan + >>> np.log(-1) + nan + >>> np.log([-1, 1, 2]) + array([ NaN, 0. , 0.69314718]) + + """) + +add_newdoc('numpy', 'newaxis', + """ + A convenient alias for None, useful for indexing arrays. + + Examples + -------- + >>> newaxis is None + True + >>> x = np.arange(3) + >>> x + array([0, 1, 2]) + >>> x[:, newaxis] + array([[0], + [1], + [2]]) + >>> x[:, newaxis, newaxis] + array([[[0]], + [[1]], + [[2]]]) + >>> x[:, newaxis] * x + array([[0, 0, 0], + [0, 1, 2], + [0, 2, 4]]) + + Outer product, same as ``outer(x, y)``: + + >>> y = np.arange(3, 6) + >>> x[:, newaxis] * y + array([[ 0, 0, 0], + [ 3, 4, 5], + [ 6, 8, 10]]) + + ``x[newaxis, :]`` is equivalent to ``x[newaxis]`` and ``x[None]``: + + >>> x[newaxis, :].shape + (1, 3) + >>> x[newaxis].shape + (1, 3) + >>> x[None].shape + (1, 3) + >>> x[:, newaxis].shape + (3, 1) + + """) + +add_newdoc('numpy', 'NZERO', + """ + IEEE 754 floating point representation of negative zero. + + Returns + ------- + y : float + A floating point representation of negative zero. + + See Also + -------- + PZERO : Defines positive zero. + + isinf : Shows which elements are positive or negative infinity. + + isposinf : Shows which elements are positive infinity. + + isneginf : Shows which elements are negative infinity. + + isnan : Shows which elements are Not a Number. + + isfinite : Shows which elements are finite - not one of + Not a Number, positive infinity and negative infinity. + + Notes + ----- + NumPy uses the IEEE Standard for Binary Floating-Point for Arithmetic + (IEEE 754). Negative zero is considered to be a finite number. + + Examples + -------- + >>> np.NZERO + -0.0 + >>> np.PZERO + 0.0 + + >>> np.isfinite([np.NZERO]) + array([ True]) + >>> np.isnan([np.NZERO]) + array([False]) + >>> np.isinf([np.NZERO]) + array([False]) + + """) + +add_newdoc('numpy', 'PZERO', + """ + IEEE 754 floating point representation of positive zero. + + Returns + ------- + y : float + A floating point representation of positive zero. + + See Also + -------- + NZERO : Defines negative zero. + + isinf : Shows which elements are positive or negative infinity. + + isposinf : Shows which elements are positive infinity. + + isneginf : Shows which elements are negative infinity. + + isnan : Shows which elements are Not a Number. + + isfinite : Shows which elements are finite - not one of + Not a Number, positive infinity and negative infinity. + + Notes + ----- + NumPy uses the IEEE Standard for Binary Floating-Point for Arithmetic + (IEEE 754). Positive zero is considered to be a finite number. + + Examples + -------- + >>> np.PZERO + 0.0 + >>> np.NZERO + -0.0 + + >>> np.isfinite([np.PZERO]) + array([ True]) + >>> np.isnan([np.PZERO]) + array([False]) + >>> np.isinf([np.PZERO]) + array([False]) + + """) + +add_newdoc('numpy', 'NAN', + """ + IEEE 754 floating point representation of Not a Number (NaN). + + `NaN` and `NAN` are equivalent definitions of `nan`. Please use + `nan` instead of `NAN`. + + See Also + -------- + nan + + """) + +add_newdoc('numpy', 'NaN', + """ + IEEE 754 floating point representation of Not a Number (NaN). + + `NaN` and `NAN` are equivalent definitions of `nan`. Please use + `nan` instead of `NaN`. + + See Also + -------- + nan + + """) + +add_newdoc('numpy', 'NINF', + """ + IEEE 754 floating point representation of negative infinity. + + Returns + ------- + y : float + A floating point representation of negative infinity. + + See Also + -------- + isinf : Shows which elements are positive or negative infinity + + isposinf : Shows which elements are positive infinity + + isneginf : Shows which elements are negative infinity + + isnan : Shows which elements are Not a Number + + isfinite : Shows which elements are finite (not one of Not a Number, + positive infinity and negative infinity) + + Notes + ----- + NumPy uses the IEEE Standard for Binary Floating-Point for Arithmetic + (IEEE 754). This means that Not a Number is not equivalent to infinity. + Also that positive infinity is not equivalent to negative infinity. But + infinity is equivalent to positive infinity. + + Examples + -------- + >>> np.NINF + -inf + >>> np.log(0) + -inf + + """) + +add_newdoc('numpy', 'PINF', + """ + IEEE 754 floating point representation of (positive) infinity. + + Use `inf` because `Inf`, `Infinity`, `PINF` and `infty` are aliases for + `inf`. For more details, see `inf`. + + See Also + -------- + inf + + """) + +add_newdoc('numpy', 'infty', + """ + IEEE 754 floating point representation of (positive) infinity. + + Use `inf` because `Inf`, `Infinity`, `PINF` and `infty` are aliases for + `inf`. For more details, see `inf`. + + See Also + -------- + inf + + """) + +add_newdoc('numpy', 'Inf', + """ + IEEE 754 floating point representation of (positive) infinity. + + Use `inf` because `Inf`, `Infinity`, `PINF` and `infty` are aliases for + `inf`. For more details, see `inf`. + + See Also + -------- + inf + + """) + +add_newdoc('numpy', 'Infinity', + """ + IEEE 754 floating point representation of (positive) infinity. + + Use `inf` because `Inf`, `Infinity`, `PINF` and `infty` are aliases for + `inf`. For more details, see `inf`. + + See Also + -------- + inf + + """) + + +if __doc__: + constants_str = [] + constants.sort() + for name, doc in constants: + s = textwrap.dedent(doc).replace("\n", "\n ") + + # Replace sections by rubrics + lines = s.split("\n") + new_lines = [] + for line in lines: + m = re.match(r'^(\s+)[-=]+\s*$', line) + if m and new_lines: + prev = textwrap.dedent(new_lines.pop()) + new_lines.append('%s.. rubric:: %s' % (m.group(1), prev)) + new_lines.append('') + else: + new_lines.append(line) + s = "\n".join(new_lines) + + # Done. + constants_str.append(""".. data:: %s\n %s""" % (name, s)) + constants_str = "\n".join(constants_str) + + __doc__ = __doc__ % dict(constant_list=constants_str) + del constants_str, name, doc + del line, lines, new_lines, m, s, prev + +del constants, add_newdoc diff --git a/lib/python3.12/site-packages/numpy/doc/ufuncs.py b/lib/python3.12/site-packages/numpy/doc/ufuncs.py new file mode 100644 index 0000000000000000000000000000000000000000..c99e9abc99a55a799899579fb0dec9ae4dccf54c --- /dev/null +++ b/lib/python3.12/site-packages/numpy/doc/ufuncs.py @@ -0,0 +1,137 @@ +""" +=================== +Universal Functions +=================== + +Ufuncs are, generally speaking, mathematical functions or operations that are +applied element-by-element to the contents of an array. That is, the result +in each output array element only depends on the value in the corresponding +input array (or arrays) and on no other array elements. NumPy comes with a +large suite of ufuncs, and scipy extends that suite substantially. The simplest +example is the addition operator: :: + + >>> np.array([0,2,3,4]) + np.array([1,1,-1,2]) + array([1, 3, 2, 6]) + +The ufunc module lists all the available ufuncs in numpy. Documentation on +the specific ufuncs may be found in those modules. This documentation is +intended to address the more general aspects of ufuncs common to most of +them. All of the ufuncs that make use of Python operators (e.g., +, -, etc.) +have equivalent functions defined (e.g. add() for +) + +Type coercion +============= + +What happens when a binary operator (e.g., +,-,\\*,/, etc) deals with arrays of +two different types? What is the type of the result? Typically, the result is +the higher of the two types. For example: :: + + float32 + float64 -> float64 + int8 + int32 -> int32 + int16 + float32 -> float32 + float32 + complex64 -> complex64 + +There are some less obvious cases generally involving mixes of types +(e.g. uints, ints and floats) where equal bit sizes for each are not +capable of saving all the information in a different type of equivalent +bit size. Some examples are int32 vs float32 or uint32 vs int32. +Generally, the result is the higher type of larger size than both +(if available). So: :: + + int32 + float32 -> float64 + uint32 + int32 -> int64 + +Finally, the type coercion behavior when expressions involve Python +scalars is different than that seen for arrays. Since Python has a +limited number of types, combining a Python int with a dtype=np.int8 +array does not coerce to the higher type but instead, the type of the +array prevails. So the rules for Python scalars combined with arrays is +that the result will be that of the array equivalent the Python scalar +if the Python scalar is of a higher 'kind' than the array (e.g., float +vs. int), otherwise the resultant type will be that of the array. +For example: :: + + Python int + int8 -> int8 + Python float + int8 -> float64 + +ufunc methods +============= + +Binary ufuncs support 4 methods. + +**.reduce(arr)** applies the binary operator to elements of the array in + sequence. For example: :: + + >>> np.add.reduce(np.arange(10)) # adds all elements of array + 45 + +For multidimensional arrays, the first dimension is reduced by default: :: + + >>> np.add.reduce(np.arange(10).reshape(2,5)) + array([ 5, 7, 9, 11, 13]) + +The axis keyword can be used to specify different axes to reduce: :: + + >>> np.add.reduce(np.arange(10).reshape(2,5),axis=1) + array([10, 35]) + +**.accumulate(arr)** applies the binary operator and generates an +equivalently shaped array that includes the accumulated amount for each +element of the array. A couple examples: :: + + >>> np.add.accumulate(np.arange(10)) + array([ 0, 1, 3, 6, 10, 15, 21, 28, 36, 45]) + >>> np.multiply.accumulate(np.arange(1,9)) + array([ 1, 2, 6, 24, 120, 720, 5040, 40320]) + +The behavior for multidimensional arrays is the same as for .reduce(), +as is the use of the axis keyword). + +**.reduceat(arr,indices)** allows one to apply reduce to selected parts + of an array. It is a difficult method to understand. See the documentation + at: + +**.outer(arr1,arr2)** generates an outer operation on the two arrays arr1 and + arr2. It will work on multidimensional arrays (the shape of the result is + the concatenation of the two input shapes.: :: + + >>> np.multiply.outer(np.arange(3),np.arange(4)) + array([[0, 0, 0, 0], + [0, 1, 2, 3], + [0, 2, 4, 6]]) + +Output arguments +================ + +All ufuncs accept an optional output array. The array must be of the expected +output shape. Beware that if the type of the output array is of a different +(and lower) type than the output result, the results may be silently truncated +or otherwise corrupted in the downcast to the lower type. This usage is useful +when one wants to avoid creating large temporary arrays and instead allows one +to reuse the same array memory repeatedly (at the expense of not being able to +use more convenient operator notation in expressions). Note that when the +output argument is used, the ufunc still returns a reference to the result. + + >>> x = np.arange(2) + >>> np.add(np.arange(2),np.arange(2.),x) + array([0, 2]) + >>> x + array([0, 2]) + +and & or as ufuncs +================== + +Invariably people try to use the python 'and' and 'or' as logical operators +(and quite understandably). But these operators do not behave as normal +operators since Python treats these quite differently. They cannot be +overloaded with array equivalents. Thus using 'and' or 'or' with an array +results in an error. There are two alternatives: + + 1) use the ufunc functions logical_and() and logical_or(). + 2) use the bitwise operators & and \\|. The drawback of these is that if + the arguments to these operators are not boolean arrays, the result is + likely incorrect. On the other hand, most usages of logical_and and + logical_or are with boolean arrays. As long as one is careful, this is + a convenient way to apply these operators. + +""" diff --git a/lib/python3.12/site-packages/numpy/fft/__init__.py b/lib/python3.12/site-packages/numpy/fft/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..fd5e47580a5417a6526b443c52d4ffcc3f01714e --- /dev/null +++ b/lib/python3.12/site-packages/numpy/fft/__init__.py @@ -0,0 +1,212 @@ +""" +Discrete Fourier Transform (:mod:`numpy.fft`) +============================================= + +.. currentmodule:: numpy.fft + +The SciPy module `scipy.fft` is a more comprehensive superset +of ``numpy.fft``, which includes only a basic set of routines. + +Standard FFTs +------------- + +.. autosummary:: + :toctree: generated/ + + fft Discrete Fourier transform. + ifft Inverse discrete Fourier transform. + fft2 Discrete Fourier transform in two dimensions. + ifft2 Inverse discrete Fourier transform in two dimensions. + fftn Discrete Fourier transform in N-dimensions. + ifftn Inverse discrete Fourier transform in N dimensions. + +Real FFTs +--------- + +.. autosummary:: + :toctree: generated/ + + rfft Real discrete Fourier transform. + irfft Inverse real discrete Fourier transform. + rfft2 Real discrete Fourier transform in two dimensions. + irfft2 Inverse real discrete Fourier transform in two dimensions. + rfftn Real discrete Fourier transform in N dimensions. + irfftn Inverse real discrete Fourier transform in N dimensions. + +Hermitian FFTs +-------------- + +.. autosummary:: + :toctree: generated/ + + hfft Hermitian discrete Fourier transform. + ihfft Inverse Hermitian discrete Fourier transform. + +Helper routines +--------------- + +.. autosummary:: + :toctree: generated/ + + fftfreq Discrete Fourier Transform sample frequencies. + rfftfreq DFT sample frequencies (for usage with rfft, irfft). + fftshift Shift zero-frequency component to center of spectrum. + ifftshift Inverse of fftshift. + + +Background information +---------------------- + +Fourier analysis is fundamentally a method for expressing a function as a +sum of periodic components, and for recovering the function from those +components. When both the function and its Fourier transform are +replaced with discretized counterparts, it is called the discrete Fourier +transform (DFT). The DFT has become a mainstay of numerical computing in +part because of a very fast algorithm for computing it, called the Fast +Fourier Transform (FFT), which was known to Gauss (1805) and was brought +to light in its current form by Cooley and Tukey [CT]_. Press et al. [NR]_ +provide an accessible introduction to Fourier analysis and its +applications. + +Because the discrete Fourier transform separates its input into +components that contribute at discrete frequencies, it has a great number +of applications in digital signal processing, e.g., for filtering, and in +this context the discretized input to the transform is customarily +referred to as a *signal*, which exists in the *time domain*. The output +is called a *spectrum* or *transform* and exists in the *frequency +domain*. + +Implementation details +---------------------- + +There are many ways to define the DFT, varying in the sign of the +exponent, normalization, etc. In this implementation, the DFT is defined +as + +.. math:: + A_k = \\sum_{m=0}^{n-1} a_m \\exp\\left\\{-2\\pi i{mk \\over n}\\right\\} + \\qquad k = 0,\\ldots,n-1. + +The DFT is in general defined for complex inputs and outputs, and a +single-frequency component at linear frequency :math:`f` is +represented by a complex exponential +:math:`a_m = \\exp\\{2\\pi i\\,f m\\Delta t\\}`, where :math:`\\Delta t` +is the sampling interval. + +The values in the result follow so-called "standard" order: If ``A = +fft(a, n)``, then ``A[0]`` contains the zero-frequency term (the sum of +the signal), which is always purely real for real inputs. Then ``A[1:n/2]`` +contains the positive-frequency terms, and ``A[n/2+1:]`` contains the +negative-frequency terms, in order of decreasingly negative frequency. +For an even number of input points, ``A[n/2]`` represents both positive and +negative Nyquist frequency, and is also purely real for real input. For +an odd number of input points, ``A[(n-1)/2]`` contains the largest positive +frequency, while ``A[(n+1)/2]`` contains the largest negative frequency. +The routine ``np.fft.fftfreq(n)`` returns an array giving the frequencies +of corresponding elements in the output. The routine +``np.fft.fftshift(A)`` shifts transforms and their frequencies to put the +zero-frequency components in the middle, and ``np.fft.ifftshift(A)`` undoes +that shift. + +When the input `a` is a time-domain signal and ``A = fft(a)``, ``np.abs(A)`` +is its amplitude spectrum and ``np.abs(A)**2`` is its power spectrum. +The phase spectrum is obtained by ``np.angle(A)``. + +The inverse DFT is defined as + +.. math:: + a_m = \\frac{1}{n}\\sum_{k=0}^{n-1}A_k\\exp\\left\\{2\\pi i{mk\\over n}\\right\\} + \\qquad m = 0,\\ldots,n-1. + +It differs from the forward transform by the sign of the exponential +argument and the default normalization by :math:`1/n`. + +Type Promotion +-------------- + +`numpy.fft` promotes ``float32`` and ``complex64`` arrays to ``float64`` and +``complex128`` arrays respectively. For an FFT implementation that does not +promote input arrays, see `scipy.fftpack`. + +Normalization +------------- + +The argument ``norm`` indicates which direction of the pair of direct/inverse +transforms is scaled and with what normalization factor. +The default normalization (``"backward"``) has the direct (forward) transforms +unscaled and the inverse (backward) transforms scaled by :math:`1/n`. It is +possible to obtain unitary transforms by setting the keyword argument ``norm`` +to ``"ortho"`` so that both direct and inverse transforms are scaled by +:math:`1/\\sqrt{n}`. Finally, setting the keyword argument ``norm`` to +``"forward"`` has the direct transforms scaled by :math:`1/n` and the inverse +transforms unscaled (i.e. exactly opposite to the default ``"backward"``). +`None` is an alias of the default option ``"backward"`` for backward +compatibility. + +Real and Hermitian transforms +----------------------------- + +When the input is purely real, its transform is Hermitian, i.e., the +component at frequency :math:`f_k` is the complex conjugate of the +component at frequency :math:`-f_k`, which means that for real +inputs there is no information in the negative frequency components that +is not already available from the positive frequency components. +The family of `rfft` functions is +designed to operate on real inputs, and exploits this symmetry by +computing only the positive frequency components, up to and including the +Nyquist frequency. Thus, ``n`` input points produce ``n/2+1`` complex +output points. The inverses of this family assumes the same symmetry of +its input, and for an output of ``n`` points uses ``n/2+1`` input points. + +Correspondingly, when the spectrum is purely real, the signal is +Hermitian. The `hfft` family of functions exploits this symmetry by +using ``n/2+1`` complex points in the input (time) domain for ``n`` real +points in the frequency domain. + +In higher dimensions, FFTs are used, e.g., for image analysis and +filtering. The computational efficiency of the FFT means that it can +also be a faster way to compute large convolutions, using the property +that a convolution in the time domain is equivalent to a point-by-point +multiplication in the frequency domain. + +Higher dimensions +----------------- + +In two dimensions, the DFT is defined as + +.. math:: + A_{kl} = \\sum_{m=0}^{M-1} \\sum_{n=0}^{N-1} + a_{mn}\\exp\\left\\{-2\\pi i \\left({mk\\over M}+{nl\\over N}\\right)\\right\\} + \\qquad k = 0, \\ldots, M-1;\\quad l = 0, \\ldots, N-1, + +which extends in the obvious way to higher dimensions, and the inverses +in higher dimensions also extend in the same way. + +References +---------- + +.. [CT] Cooley, James W., and John W. Tukey, 1965, "An algorithm for the + machine calculation of complex Fourier series," *Math. Comput.* + 19: 297-301. + +.. [NR] Press, W., Teukolsky, S., Vetterline, W.T., and Flannery, B.P., + 2007, *Numerical Recipes: The Art of Scientific Computing*, ch. + 12-13. Cambridge Univ. Press, Cambridge, UK. + +Examples +-------- + +For examples, see the various functions. + +""" + +from . import _pocketfft, helper +from ._pocketfft import * +from .helper import * + +__all__ = _pocketfft.__all__.copy() +__all__ += helper.__all__ + +from numpy._pytesttester import PytestTester +test = PytestTester(__name__) +del PytestTester diff --git a/lib/python3.12/site-packages/numpy/fft/__init__.pyi b/lib/python3.12/site-packages/numpy/fft/__init__.pyi new file mode 100644 index 0000000000000000000000000000000000000000..5518aac16b00728d4b7449342618f4ba810224a3 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/fft/__init__.pyi @@ -0,0 +1,29 @@ +from numpy._pytesttester import PytestTester + +from numpy.fft._pocketfft import ( + fft as fft, + ifft as ifft, + rfft as rfft, + irfft as irfft, + hfft as hfft, + ihfft as ihfft, + rfftn as rfftn, + irfftn as irfftn, + rfft2 as rfft2, + irfft2 as irfft2, + fft2 as fft2, + ifft2 as ifft2, + fftn as fftn, + ifftn as ifftn, +) + +from numpy.fft.helper import ( + fftshift as fftshift, + ifftshift as ifftshift, + fftfreq as fftfreq, + rfftfreq as rfftfreq, +) + +__all__: list[str] +__path__: list[str] +test: PytestTester diff --git a/lib/python3.12/site-packages/numpy/fft/__pycache__/__init__.cpython-312.pyc b/lib/python3.12/site-packages/numpy/fft/__pycache__/__init__.cpython-312.pyc new file mode 100644 index 0000000000000000000000000000000000000000..6b3ac8b24b8406bf29b92d242ba956ee3a671c4d Binary files /dev/null and b/lib/python3.12/site-packages/numpy/fft/__pycache__/__init__.cpython-312.pyc differ diff --git a/lib/python3.12/site-packages/numpy/fft/__pycache__/_pocketfft.cpython-312.pyc b/lib/python3.12/site-packages/numpy/fft/__pycache__/_pocketfft.cpython-312.pyc new file mode 100644 index 0000000000000000000000000000000000000000..b251f94534937c819036990aeb4660cd6168b5aa Binary files /dev/null and b/lib/python3.12/site-packages/numpy/fft/__pycache__/_pocketfft.cpython-312.pyc differ diff --git a/lib/python3.12/site-packages/numpy/fft/__pycache__/helper.cpython-312.pyc b/lib/python3.12/site-packages/numpy/fft/__pycache__/helper.cpython-312.pyc new file mode 100644 index 0000000000000000000000000000000000000000..e8beda06a64ab1841914792f92017e1c7c76aa8a Binary files /dev/null and b/lib/python3.12/site-packages/numpy/fft/__pycache__/helper.cpython-312.pyc differ diff --git a/lib/python3.12/site-packages/numpy/fft/_pocketfft.py b/lib/python3.12/site-packages/numpy/fft/_pocketfft.py new file mode 100644 index 0000000000000000000000000000000000000000..ad69f7c837bb89b804c17c066d60c1c964236420 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/fft/_pocketfft.py @@ -0,0 +1,1424 @@ +""" +Discrete Fourier Transforms + +Routines in this module: + +fft(a, n=None, axis=-1, norm="backward") +ifft(a, n=None, axis=-1, norm="backward") +rfft(a, n=None, axis=-1, norm="backward") +irfft(a, n=None, axis=-1, norm="backward") +hfft(a, n=None, axis=-1, norm="backward") +ihfft(a, n=None, axis=-1, norm="backward") +fftn(a, s=None, axes=None, norm="backward") +ifftn(a, s=None, axes=None, norm="backward") +rfftn(a, s=None, axes=None, norm="backward") +irfftn(a, s=None, axes=None, norm="backward") +fft2(a, s=None, axes=(-2,-1), norm="backward") +ifft2(a, s=None, axes=(-2, -1), norm="backward") +rfft2(a, s=None, axes=(-2,-1), norm="backward") +irfft2(a, s=None, axes=(-2, -1), norm="backward") + +i = inverse transform +r = transform of purely real data +h = Hermite transform +n = n-dimensional transform +2 = 2-dimensional transform +(Note: 2D routines are just nD routines with different default +behavior.) + +""" +__all__ = ['fft', 'ifft', 'rfft', 'irfft', 'hfft', 'ihfft', 'rfftn', + 'irfftn', 'rfft2', 'irfft2', 'fft2', 'ifft2', 'fftn', 'ifftn'] + +import functools + +from numpy.core import asarray, zeros, swapaxes, conjugate, take, sqrt +from . import _pocketfft_internal as pfi +from numpy.core.multiarray import normalize_axis_index +from numpy.core import overrides + + +array_function_dispatch = functools.partial( + overrides.array_function_dispatch, module='numpy.fft') + + +# `inv_norm` is a float by which the result of the transform needs to be +# divided. This replaces the original, more intuitive 'fct` parameter to avoid +# divisions by zero (or alternatively additional checks) in the case of +# zero-length axes during its computation. +def _raw_fft(a, n, axis, is_real, is_forward, inv_norm): + axis = normalize_axis_index(axis, a.ndim) + if n is None: + n = a.shape[axis] + + fct = 1/inv_norm + + if a.shape[axis] != n: + s = list(a.shape) + index = [slice(None)]*len(s) + if s[axis] > n: + index[axis] = slice(0, n) + a = a[tuple(index)] + else: + index[axis] = slice(0, s[axis]) + s[axis] = n + z = zeros(s, a.dtype.char) + z[tuple(index)] = a + a = z + + if axis == a.ndim-1: + r = pfi.execute(a, is_real, is_forward, fct) + else: + a = swapaxes(a, axis, -1) + r = pfi.execute(a, is_real, is_forward, fct) + r = swapaxes(r, axis, -1) + return r + + +def _get_forward_norm(n, norm): + if n < 1: + raise ValueError(f"Invalid number of FFT data points ({n}) specified.") + + if norm is None or norm == "backward": + return 1 + elif norm == "ortho": + return sqrt(n) + elif norm == "forward": + return n + raise ValueError(f'Invalid norm value {norm}; should be "backward",' + '"ortho" or "forward".') + + +def _get_backward_norm(n, norm): + if n < 1: + raise ValueError(f"Invalid number of FFT data points ({n}) specified.") + + if norm is None or norm == "backward": + return n + elif norm == "ortho": + return sqrt(n) + elif norm == "forward": + return 1 + raise ValueError(f'Invalid norm value {norm}; should be "backward", ' + '"ortho" or "forward".') + + +_SWAP_DIRECTION_MAP = {"backward": "forward", None: "forward", + "ortho": "ortho", "forward": "backward"} + + +def _swap_direction(norm): + try: + return _SWAP_DIRECTION_MAP[norm] + except KeyError: + raise ValueError(f'Invalid norm value {norm}; should be "backward", ' + '"ortho" or "forward".') from None + + +def _fft_dispatcher(a, n=None, axis=None, norm=None): + return (a,) + + +@array_function_dispatch(_fft_dispatcher) +def fft(a, n=None, axis=-1, norm=None): + """ + Compute the one-dimensional discrete Fourier Transform. + + This function computes the one-dimensional *n*-point discrete Fourier + Transform (DFT) with the efficient Fast Fourier Transform (FFT) + algorithm [CT]. + + Parameters + ---------- + a : array_like + Input array, can be complex. + n : int, optional + Length of the transformed axis of the output. + If `n` is smaller than the length of the input, the input is cropped. + If it is larger, the input is padded with zeros. If `n` is not given, + the length of the input along the axis specified by `axis` is used. + axis : int, optional + Axis over which to compute the FFT. If not given, the last axis is + used. + norm : {"backward", "ortho", "forward"}, optional + .. versionadded:: 1.10.0 + + Normalization mode (see `numpy.fft`). Default is "backward". + Indicates which direction of the forward/backward pair of transforms + is scaled and with what normalization factor. + + .. versionadded:: 1.20.0 + + The "backward", "forward" values were added. + + Returns + ------- + out : complex ndarray + The truncated or zero-padded input, transformed along the axis + indicated by `axis`, or the last one if `axis` is not specified. + + Raises + ------ + IndexError + If `axis` is not a valid axis of `a`. + + See Also + -------- + numpy.fft : for definition of the DFT and conventions used. + ifft : The inverse of `fft`. + fft2 : The two-dimensional FFT. + fftn : The *n*-dimensional FFT. + rfftn : The *n*-dimensional FFT of real input. + fftfreq : Frequency bins for given FFT parameters. + + Notes + ----- + FFT (Fast Fourier Transform) refers to a way the discrete Fourier + Transform (DFT) can be calculated efficiently, by using symmetries in the + calculated terms. The symmetry is highest when `n` is a power of 2, and + the transform is therefore most efficient for these sizes. + + The DFT is defined, with the conventions used in this implementation, in + the documentation for the `numpy.fft` module. + + References + ---------- + .. [CT] Cooley, James W., and John W. Tukey, 1965, "An algorithm for the + machine calculation of complex Fourier series," *Math. Comput.* + 19: 297-301. + + Examples + -------- + >>> np.fft.fft(np.exp(2j * np.pi * np.arange(8) / 8)) + array([-2.33486982e-16+1.14423775e-17j, 8.00000000e+00-1.25557246e-15j, + 2.33486982e-16+2.33486982e-16j, 0.00000000e+00+1.22464680e-16j, + -1.14423775e-17+2.33486982e-16j, 0.00000000e+00+5.20784380e-16j, + 1.14423775e-17+1.14423775e-17j, 0.00000000e+00+1.22464680e-16j]) + + In this example, real input has an FFT which is Hermitian, i.e., symmetric + in the real part and anti-symmetric in the imaginary part, as described in + the `numpy.fft` documentation: + + >>> import matplotlib.pyplot as plt + >>> t = np.arange(256) + >>> sp = np.fft.fft(np.sin(t)) + >>> freq = np.fft.fftfreq(t.shape[-1]) + >>> plt.plot(freq, sp.real, freq, sp.imag) + [, ] + >>> plt.show() + + """ + a = asarray(a) + if n is None: + n = a.shape[axis] + inv_norm = _get_forward_norm(n, norm) + output = _raw_fft(a, n, axis, False, True, inv_norm) + return output + + +@array_function_dispatch(_fft_dispatcher) +def ifft(a, n=None, axis=-1, norm=None): + """ + Compute the one-dimensional inverse discrete Fourier Transform. + + This function computes the inverse of the one-dimensional *n*-point + discrete Fourier transform computed by `fft`. In other words, + ``ifft(fft(a)) == a`` to within numerical accuracy. + For a general description of the algorithm and definitions, + see `numpy.fft`. + + The input should be ordered in the same way as is returned by `fft`, + i.e., + + * ``a[0]`` should contain the zero frequency term, + * ``a[1:n//2]`` should contain the positive-frequency terms, + * ``a[n//2 + 1:]`` should contain the negative-frequency terms, in + increasing order starting from the most negative frequency. + + For an even number of input points, ``A[n//2]`` represents the sum of + the values at the positive and negative Nyquist frequencies, as the two + are aliased together. See `numpy.fft` for details. + + Parameters + ---------- + a : array_like + Input array, can be complex. + n : int, optional + Length of the transformed axis of the output. + If `n` is smaller than the length of the input, the input is cropped. + If it is larger, the input is padded with zeros. If `n` is not given, + the length of the input along the axis specified by `axis` is used. + See notes about padding issues. + axis : int, optional + Axis over which to compute the inverse DFT. If not given, the last + axis is used. + norm : {"backward", "ortho", "forward"}, optional + .. versionadded:: 1.10.0 + + Normalization mode (see `numpy.fft`). Default is "backward". + Indicates which direction of the forward/backward pair of transforms + is scaled and with what normalization factor. + + .. versionadded:: 1.20.0 + + The "backward", "forward" values were added. + + Returns + ------- + out : complex ndarray + The truncated or zero-padded input, transformed along the axis + indicated by `axis`, or the last one if `axis` is not specified. + + Raises + ------ + IndexError + If `axis` is not a valid axis of `a`. + + See Also + -------- + numpy.fft : An introduction, with definitions and general explanations. + fft : The one-dimensional (forward) FFT, of which `ifft` is the inverse + ifft2 : The two-dimensional inverse FFT. + ifftn : The n-dimensional inverse FFT. + + Notes + ----- + If the input parameter `n` is larger than the size of the input, the input + is padded by appending zeros at the end. Even though this is the common + approach, it might lead to surprising results. If a different padding is + desired, it must be performed before calling `ifft`. + + Examples + -------- + >>> np.fft.ifft([0, 4, 0, 0]) + array([ 1.+0.j, 0.+1.j, -1.+0.j, 0.-1.j]) # may vary + + Create and plot a band-limited signal with random phases: + + >>> import matplotlib.pyplot as plt + >>> t = np.arange(400) + >>> n = np.zeros((400,), dtype=complex) + >>> n[40:60] = np.exp(1j*np.random.uniform(0, 2*np.pi, (20,))) + >>> s = np.fft.ifft(n) + >>> plt.plot(t, s.real, label='real') + [] + >>> plt.plot(t, s.imag, '--', label='imaginary') + [] + >>> plt.legend() + + >>> plt.show() + + """ + a = asarray(a) + if n is None: + n = a.shape[axis] + inv_norm = _get_backward_norm(n, norm) + output = _raw_fft(a, n, axis, False, False, inv_norm) + return output + + +@array_function_dispatch(_fft_dispatcher) +def rfft(a, n=None, axis=-1, norm=None): + """ + Compute the one-dimensional discrete Fourier Transform for real input. + + This function computes the one-dimensional *n*-point discrete Fourier + Transform (DFT) of a real-valued array by means of an efficient algorithm + called the Fast Fourier Transform (FFT). + + Parameters + ---------- + a : array_like + Input array + n : int, optional + Number of points along transformation axis in the input to use. + If `n` is smaller than the length of the input, the input is cropped. + If it is larger, the input is padded with zeros. If `n` is not given, + the length of the input along the axis specified by `axis` is used. + axis : int, optional + Axis over which to compute the FFT. If not given, the last axis is + used. + norm : {"backward", "ortho", "forward"}, optional + .. versionadded:: 1.10.0 + + Normalization mode (see `numpy.fft`). Default is "backward". + Indicates which direction of the forward/backward pair of transforms + is scaled and with what normalization factor. + + .. versionadded:: 1.20.0 + + The "backward", "forward" values were added. + + Returns + ------- + out : complex ndarray + The truncated or zero-padded input, transformed along the axis + indicated by `axis`, or the last one if `axis` is not specified. + If `n` is even, the length of the transformed axis is ``(n/2)+1``. + If `n` is odd, the length is ``(n+1)/2``. + + Raises + ------ + IndexError + If `axis` is not a valid axis of `a`. + + See Also + -------- + numpy.fft : For definition of the DFT and conventions used. + irfft : The inverse of `rfft`. + fft : The one-dimensional FFT of general (complex) input. + fftn : The *n*-dimensional FFT. + rfftn : The *n*-dimensional FFT of real input. + + Notes + ----- + When the DFT is computed for purely real input, the output is + Hermitian-symmetric, i.e. the negative frequency terms are just the complex + conjugates of the corresponding positive-frequency terms, and the + negative-frequency terms are therefore redundant. This function does not + compute the negative frequency terms, and the length of the transformed + axis of the output is therefore ``n//2 + 1``. + + When ``A = rfft(a)`` and fs is the sampling frequency, ``A[0]`` contains + the zero-frequency term 0*fs, which is real due to Hermitian symmetry. + + If `n` is even, ``A[-1]`` contains the term representing both positive + and negative Nyquist frequency (+fs/2 and -fs/2), and must also be purely + real. If `n` is odd, there is no term at fs/2; ``A[-1]`` contains + the largest positive frequency (fs/2*(n-1)/n), and is complex in the + general case. + + If the input `a` contains an imaginary part, it is silently discarded. + + Examples + -------- + >>> np.fft.fft([0, 1, 0, 0]) + array([ 1.+0.j, 0.-1.j, -1.+0.j, 0.+1.j]) # may vary + >>> np.fft.rfft([0, 1, 0, 0]) + array([ 1.+0.j, 0.-1.j, -1.+0.j]) # may vary + + Notice how the final element of the `fft` output is the complex conjugate + of the second element, for real input. For `rfft`, this symmetry is + exploited to compute only the non-negative frequency terms. + + """ + a = asarray(a) + if n is None: + n = a.shape[axis] + inv_norm = _get_forward_norm(n, norm) + output = _raw_fft(a, n, axis, True, True, inv_norm) + return output + + +@array_function_dispatch(_fft_dispatcher) +def irfft(a, n=None, axis=-1, norm=None): + """ + Computes the inverse of `rfft`. + + This function computes the inverse of the one-dimensional *n*-point + discrete Fourier Transform of real input computed by `rfft`. + In other words, ``irfft(rfft(a), len(a)) == a`` to within numerical + accuracy. (See Notes below for why ``len(a)`` is necessary here.) + + The input is expected to be in the form returned by `rfft`, i.e. the + real zero-frequency term followed by the complex positive frequency terms + in order of increasing frequency. Since the discrete Fourier Transform of + real input is Hermitian-symmetric, the negative frequency terms are taken + to be the complex conjugates of the corresponding positive frequency terms. + + Parameters + ---------- + a : array_like + The input array. + n : int, optional + Length of the transformed axis of the output. + For `n` output points, ``n//2+1`` input points are necessary. If the + input is longer than this, it is cropped. If it is shorter than this, + it is padded with zeros. If `n` is not given, it is taken to be + ``2*(m-1)`` where ``m`` is the length of the input along the axis + specified by `axis`. + axis : int, optional + Axis over which to compute the inverse FFT. If not given, the last + axis is used. + norm : {"backward", "ortho", "forward"}, optional + .. versionadded:: 1.10.0 + + Normalization mode (see `numpy.fft`). Default is "backward". + Indicates which direction of the forward/backward pair of transforms + is scaled and with what normalization factor. + + .. versionadded:: 1.20.0 + + The "backward", "forward" values were added. + + Returns + ------- + out : ndarray + The truncated or zero-padded input, transformed along the axis + indicated by `axis`, or the last one if `axis` is not specified. + The length of the transformed axis is `n`, or, if `n` is not given, + ``2*(m-1)`` where ``m`` is the length of the transformed axis of the + input. To get an odd number of output points, `n` must be specified. + + Raises + ------ + IndexError + If `axis` is not a valid axis of `a`. + + See Also + -------- + numpy.fft : For definition of the DFT and conventions used. + rfft : The one-dimensional FFT of real input, of which `irfft` is inverse. + fft : The one-dimensional FFT. + irfft2 : The inverse of the two-dimensional FFT of real input. + irfftn : The inverse of the *n*-dimensional FFT of real input. + + Notes + ----- + Returns the real valued `n`-point inverse discrete Fourier transform + of `a`, where `a` contains the non-negative frequency terms of a + Hermitian-symmetric sequence. `n` is the length of the result, not the + input. + + If you specify an `n` such that `a` must be zero-padded or truncated, the + extra/removed values will be added/removed at high frequencies. One can + thus resample a series to `m` points via Fourier interpolation by: + ``a_resamp = irfft(rfft(a), m)``. + + The correct interpretation of the hermitian input depends on the length of + the original data, as given by `n`. This is because each input shape could + correspond to either an odd or even length signal. By default, `irfft` + assumes an even output length which puts the last entry at the Nyquist + frequency; aliasing with its symmetric counterpart. By Hermitian symmetry, + the value is thus treated as purely real. To avoid losing information, the + correct length of the real input **must** be given. + + Examples + -------- + >>> np.fft.ifft([1, -1j, -1, 1j]) + array([0.+0.j, 1.+0.j, 0.+0.j, 0.+0.j]) # may vary + >>> np.fft.irfft([1, -1j, -1]) + array([0., 1., 0., 0.]) + + Notice how the last term in the input to the ordinary `ifft` is the + complex conjugate of the second term, and the output has zero imaginary + part everywhere. When calling `irfft`, the negative frequencies are not + specified, and the output array is purely real. + + """ + a = asarray(a) + if n is None: + n = (a.shape[axis] - 1) * 2 + inv_norm = _get_backward_norm(n, norm) + output = _raw_fft(a, n, axis, True, False, inv_norm) + return output + + +@array_function_dispatch(_fft_dispatcher) +def hfft(a, n=None, axis=-1, norm=None): + """ + Compute the FFT of a signal that has Hermitian symmetry, i.e., a real + spectrum. + + Parameters + ---------- + a : array_like + The input array. + n : int, optional + Length of the transformed axis of the output. For `n` output + points, ``n//2 + 1`` input points are necessary. If the input is + longer than this, it is cropped. If it is shorter than this, it is + padded with zeros. If `n` is not given, it is taken to be ``2*(m-1)`` + where ``m`` is the length of the input along the axis specified by + `axis`. + axis : int, optional + Axis over which to compute the FFT. If not given, the last + axis is used. + norm : {"backward", "ortho", "forward"}, optional + .. versionadded:: 1.10.0 + + Normalization mode (see `numpy.fft`). Default is "backward". + Indicates which direction of the forward/backward pair of transforms + is scaled and with what normalization factor. + + .. versionadded:: 1.20.0 + + The "backward", "forward" values were added. + + Returns + ------- + out : ndarray + The truncated or zero-padded input, transformed along the axis + indicated by `axis`, or the last one if `axis` is not specified. + The length of the transformed axis is `n`, or, if `n` is not given, + ``2*m - 2`` where ``m`` is the length of the transformed axis of + the input. To get an odd number of output points, `n` must be + specified, for instance as ``2*m - 1`` in the typical case, + + Raises + ------ + IndexError + If `axis` is not a valid axis of `a`. + + See also + -------- + rfft : Compute the one-dimensional FFT for real input. + ihfft : The inverse of `hfft`. + + Notes + ----- + `hfft`/`ihfft` are a pair analogous to `rfft`/`irfft`, but for the + opposite case: here the signal has Hermitian symmetry in the time + domain and is real in the frequency domain. So here it's `hfft` for + which you must supply the length of the result if it is to be odd. + + * even: ``ihfft(hfft(a, 2*len(a) - 2)) == a``, within roundoff error, + * odd: ``ihfft(hfft(a, 2*len(a) - 1)) == a``, within roundoff error. + + The correct interpretation of the hermitian input depends on the length of + the original data, as given by `n`. This is because each input shape could + correspond to either an odd or even length signal. By default, `hfft` + assumes an even output length which puts the last entry at the Nyquist + frequency; aliasing with its symmetric counterpart. By Hermitian symmetry, + the value is thus treated as purely real. To avoid losing information, the + shape of the full signal **must** be given. + + Examples + -------- + >>> signal = np.array([1, 2, 3, 4, 3, 2]) + >>> np.fft.fft(signal) + array([15.+0.j, -4.+0.j, 0.+0.j, -1.-0.j, 0.+0.j, -4.+0.j]) # may vary + >>> np.fft.hfft(signal[:4]) # Input first half of signal + array([15., -4., 0., -1., 0., -4.]) + >>> np.fft.hfft(signal, 6) # Input entire signal and truncate + array([15., -4., 0., -1., 0., -4.]) + + + >>> signal = np.array([[1, 1.j], [-1.j, 2]]) + >>> np.conj(signal.T) - signal # check Hermitian symmetry + array([[ 0.-0.j, -0.+0.j], # may vary + [ 0.+0.j, 0.-0.j]]) + >>> freq_spectrum = np.fft.hfft(signal) + >>> freq_spectrum + array([[ 1., 1.], + [ 2., -2.]]) + + """ + a = asarray(a) + if n is None: + n = (a.shape[axis] - 1) * 2 + new_norm = _swap_direction(norm) + output = irfft(conjugate(a), n, axis, norm=new_norm) + return output + + +@array_function_dispatch(_fft_dispatcher) +def ihfft(a, n=None, axis=-1, norm=None): + """ + Compute the inverse FFT of a signal that has Hermitian symmetry. + + Parameters + ---------- + a : array_like + Input array. + n : int, optional + Length of the inverse FFT, the number of points along + transformation axis in the input to use. If `n` is smaller than + the length of the input, the input is cropped. If it is larger, + the input is padded with zeros. If `n` is not given, the length of + the input along the axis specified by `axis` is used. + axis : int, optional + Axis over which to compute the inverse FFT. If not given, the last + axis is used. + norm : {"backward", "ortho", "forward"}, optional + .. versionadded:: 1.10.0 + + Normalization mode (see `numpy.fft`). Default is "backward". + Indicates which direction of the forward/backward pair of transforms + is scaled and with what normalization factor. + + .. versionadded:: 1.20.0 + + The "backward", "forward" values were added. + + Returns + ------- + out : complex ndarray + The truncated or zero-padded input, transformed along the axis + indicated by `axis`, or the last one if `axis` is not specified. + The length of the transformed axis is ``n//2 + 1``. + + See also + -------- + hfft, irfft + + Notes + ----- + `hfft`/`ihfft` are a pair analogous to `rfft`/`irfft`, but for the + opposite case: here the signal has Hermitian symmetry in the time + domain and is real in the frequency domain. So here it's `hfft` for + which you must supply the length of the result if it is to be odd: + + * even: ``ihfft(hfft(a, 2*len(a) - 2)) == a``, within roundoff error, + * odd: ``ihfft(hfft(a, 2*len(a) - 1)) == a``, within roundoff error. + + Examples + -------- + >>> spectrum = np.array([ 15, -4, 0, -1, 0, -4]) + >>> np.fft.ifft(spectrum) + array([1.+0.j, 2.+0.j, 3.+0.j, 4.+0.j, 3.+0.j, 2.+0.j]) # may vary + >>> np.fft.ihfft(spectrum) + array([ 1.-0.j, 2.-0.j, 3.-0.j, 4.-0.j]) # may vary + + """ + a = asarray(a) + if n is None: + n = a.shape[axis] + new_norm = _swap_direction(norm) + output = conjugate(rfft(a, n, axis, norm=new_norm)) + return output + + +def _cook_nd_args(a, s=None, axes=None, invreal=0): + if s is None: + shapeless = 1 + if axes is None: + s = list(a.shape) + else: + s = take(a.shape, axes) + else: + shapeless = 0 + s = list(s) + if axes is None: + axes = list(range(-len(s), 0)) + if len(s) != len(axes): + raise ValueError("Shape and axes have different lengths.") + if invreal and shapeless: + s[-1] = (a.shape[axes[-1]] - 1) * 2 + return s, axes + + +def _raw_fftnd(a, s=None, axes=None, function=fft, norm=None): + a = asarray(a) + s, axes = _cook_nd_args(a, s, axes) + itl = list(range(len(axes))) + itl.reverse() + for ii in itl: + a = function(a, n=s[ii], axis=axes[ii], norm=norm) + return a + + +def _fftn_dispatcher(a, s=None, axes=None, norm=None): + return (a,) + + +@array_function_dispatch(_fftn_dispatcher) +def fftn(a, s=None, axes=None, norm=None): + """ + Compute the N-dimensional discrete Fourier Transform. + + This function computes the *N*-dimensional discrete Fourier Transform over + any number of axes in an *M*-dimensional array by means of the Fast Fourier + Transform (FFT). + + Parameters + ---------- + a : array_like + Input array, can be complex. + s : sequence of ints, optional + Shape (length of each transformed axis) of the output + (``s[0]`` refers to axis 0, ``s[1]`` to axis 1, etc.). + This corresponds to ``n`` for ``fft(x, n)``. + Along any axis, if the given shape is smaller than that of the input, + the input is cropped. If it is larger, the input is padded with zeros. + if `s` is not given, the shape of the input along the axes specified + by `axes` is used. + axes : sequence of ints, optional + Axes over which to compute the FFT. If not given, the last ``len(s)`` + axes are used, or all axes if `s` is also not specified. + Repeated indices in `axes` means that the transform over that axis is + performed multiple times. + norm : {"backward", "ortho", "forward"}, optional + .. versionadded:: 1.10.0 + + Normalization mode (see `numpy.fft`). Default is "backward". + Indicates which direction of the forward/backward pair of transforms + is scaled and with what normalization factor. + + .. versionadded:: 1.20.0 + + The "backward", "forward" values were added. + + Returns + ------- + out : complex ndarray + The truncated or zero-padded input, transformed along the axes + indicated by `axes`, or by a combination of `s` and `a`, + as explained in the parameters section above. + + Raises + ------ + ValueError + If `s` and `axes` have different length. + IndexError + If an element of `axes` is larger than than the number of axes of `a`. + + See Also + -------- + numpy.fft : Overall view of discrete Fourier transforms, with definitions + and conventions used. + ifftn : The inverse of `fftn`, the inverse *n*-dimensional FFT. + fft : The one-dimensional FFT, with definitions and conventions used. + rfftn : The *n*-dimensional FFT of real input. + fft2 : The two-dimensional FFT. + fftshift : Shifts zero-frequency terms to centre of array + + Notes + ----- + The output, analogously to `fft`, contains the term for zero frequency in + the low-order corner of all axes, the positive frequency terms in the + first half of all axes, the term for the Nyquist frequency in the middle + of all axes and the negative frequency terms in the second half of all + axes, in order of decreasingly negative frequency. + + See `numpy.fft` for details, definitions and conventions used. + + Examples + -------- + >>> a = np.mgrid[:3, :3, :3][0] + >>> np.fft.fftn(a, axes=(1, 2)) + array([[[ 0.+0.j, 0.+0.j, 0.+0.j], # may vary + [ 0.+0.j, 0.+0.j, 0.+0.j], + [ 0.+0.j, 0.+0.j, 0.+0.j]], + [[ 9.+0.j, 0.+0.j, 0.+0.j], + [ 0.+0.j, 0.+0.j, 0.+0.j], + [ 0.+0.j, 0.+0.j, 0.+0.j]], + [[18.+0.j, 0.+0.j, 0.+0.j], + [ 0.+0.j, 0.+0.j, 0.+0.j], + [ 0.+0.j, 0.+0.j, 0.+0.j]]]) + >>> np.fft.fftn(a, (2, 2), axes=(0, 1)) + array([[[ 2.+0.j, 2.+0.j, 2.+0.j], # may vary + [ 0.+0.j, 0.+0.j, 0.+0.j]], + [[-2.+0.j, -2.+0.j, -2.+0.j], + [ 0.+0.j, 0.+0.j, 0.+0.j]]]) + + >>> import matplotlib.pyplot as plt + >>> [X, Y] = np.meshgrid(2 * np.pi * np.arange(200) / 12, + ... 2 * np.pi * np.arange(200) / 34) + >>> S = np.sin(X) + np.cos(Y) + np.random.uniform(0, 1, X.shape) + >>> FS = np.fft.fftn(S) + >>> plt.imshow(np.log(np.abs(np.fft.fftshift(FS))**2)) + + >>> plt.show() + + """ + return _raw_fftnd(a, s, axes, fft, norm) + + +@array_function_dispatch(_fftn_dispatcher) +def ifftn(a, s=None, axes=None, norm=None): + """ + Compute the N-dimensional inverse discrete Fourier Transform. + + This function computes the inverse of the N-dimensional discrete + Fourier Transform over any number of axes in an M-dimensional array by + means of the Fast Fourier Transform (FFT). In other words, + ``ifftn(fftn(a)) == a`` to within numerical accuracy. + For a description of the definitions and conventions used, see `numpy.fft`. + + The input, analogously to `ifft`, should be ordered in the same way as is + returned by `fftn`, i.e. it should have the term for zero frequency + in all axes in the low-order corner, the positive frequency terms in the + first half of all axes, the term for the Nyquist frequency in the middle + of all axes and the negative frequency terms in the second half of all + axes, in order of decreasingly negative frequency. + + Parameters + ---------- + a : array_like + Input array, can be complex. + s : sequence of ints, optional + Shape (length of each transformed axis) of the output + (``s[0]`` refers to axis 0, ``s[1]`` to axis 1, etc.). + This corresponds to ``n`` for ``ifft(x, n)``. + Along any axis, if the given shape is smaller than that of the input, + the input is cropped. If it is larger, the input is padded with zeros. + if `s` is not given, the shape of the input along the axes specified + by `axes` is used. See notes for issue on `ifft` zero padding. + axes : sequence of ints, optional + Axes over which to compute the IFFT. If not given, the last ``len(s)`` + axes are used, or all axes if `s` is also not specified. + Repeated indices in `axes` means that the inverse transform over that + axis is performed multiple times. + norm : {"backward", "ortho", "forward"}, optional + .. versionadded:: 1.10.0 + + Normalization mode (see `numpy.fft`). Default is "backward". + Indicates which direction of the forward/backward pair of transforms + is scaled and with what normalization factor. + + .. versionadded:: 1.20.0 + + The "backward", "forward" values were added. + + Returns + ------- + out : complex ndarray + The truncated or zero-padded input, transformed along the axes + indicated by `axes`, or by a combination of `s` or `a`, + as explained in the parameters section above. + + Raises + ------ + ValueError + If `s` and `axes` have different length. + IndexError + If an element of `axes` is larger than than the number of axes of `a`. + + See Also + -------- + numpy.fft : Overall view of discrete Fourier transforms, with definitions + and conventions used. + fftn : The forward *n*-dimensional FFT, of which `ifftn` is the inverse. + ifft : The one-dimensional inverse FFT. + ifft2 : The two-dimensional inverse FFT. + ifftshift : Undoes `fftshift`, shifts zero-frequency terms to beginning + of array. + + Notes + ----- + See `numpy.fft` for definitions and conventions used. + + Zero-padding, analogously with `ifft`, is performed by appending zeros to + the input along the specified dimension. Although this is the common + approach, it might lead to surprising results. If another form of zero + padding is desired, it must be performed before `ifftn` is called. + + Examples + -------- + >>> a = np.eye(4) + >>> np.fft.ifftn(np.fft.fftn(a, axes=(0,)), axes=(1,)) + array([[1.+0.j, 0.+0.j, 0.+0.j, 0.+0.j], # may vary + [0.+0.j, 1.+0.j, 0.+0.j, 0.+0.j], + [0.+0.j, 0.+0.j, 1.+0.j, 0.+0.j], + [0.+0.j, 0.+0.j, 0.+0.j, 1.+0.j]]) + + + Create and plot an image with band-limited frequency content: + + >>> import matplotlib.pyplot as plt + >>> n = np.zeros((200,200), dtype=complex) + >>> n[60:80, 20:40] = np.exp(1j*np.random.uniform(0, 2*np.pi, (20, 20))) + >>> im = np.fft.ifftn(n).real + >>> plt.imshow(im) + + >>> plt.show() + + """ + return _raw_fftnd(a, s, axes, ifft, norm) + + +@array_function_dispatch(_fftn_dispatcher) +def fft2(a, s=None, axes=(-2, -1), norm=None): + """ + Compute the 2-dimensional discrete Fourier Transform. + + This function computes the *n*-dimensional discrete Fourier Transform + over any axes in an *M*-dimensional array by means of the + Fast Fourier Transform (FFT). By default, the transform is computed over + the last two axes of the input array, i.e., a 2-dimensional FFT. + + Parameters + ---------- + a : array_like + Input array, can be complex + s : sequence of ints, optional + Shape (length of each transformed axis) of the output + (``s[0]`` refers to axis 0, ``s[1]`` to axis 1, etc.). + This corresponds to ``n`` for ``fft(x, n)``. + Along each axis, if the given shape is smaller than that of the input, + the input is cropped. If it is larger, the input is padded with zeros. + if `s` is not given, the shape of the input along the axes specified + by `axes` is used. + axes : sequence of ints, optional + Axes over which to compute the FFT. If not given, the last two + axes are used. A repeated index in `axes` means the transform over + that axis is performed multiple times. A one-element sequence means + that a one-dimensional FFT is performed. + norm : {"backward", "ortho", "forward"}, optional + .. versionadded:: 1.10.0 + + Normalization mode (see `numpy.fft`). Default is "backward". + Indicates which direction of the forward/backward pair of transforms + is scaled and with what normalization factor. + + .. versionadded:: 1.20.0 + + The "backward", "forward" values were added. + + Returns + ------- + out : complex ndarray + The truncated or zero-padded input, transformed along the axes + indicated by `axes`, or the last two axes if `axes` is not given. + + Raises + ------ + ValueError + If `s` and `axes` have different length, or `axes` not given and + ``len(s) != 2``. + IndexError + If an element of `axes` is larger than than the number of axes of `a`. + + See Also + -------- + numpy.fft : Overall view of discrete Fourier transforms, with definitions + and conventions used. + ifft2 : The inverse two-dimensional FFT. + fft : The one-dimensional FFT. + fftn : The *n*-dimensional FFT. + fftshift : Shifts zero-frequency terms to the center of the array. + For two-dimensional input, swaps first and third quadrants, and second + and fourth quadrants. + + Notes + ----- + `fft2` is just `fftn` with a different default for `axes`. + + The output, analogously to `fft`, contains the term for zero frequency in + the low-order corner of the transformed axes, the positive frequency terms + in the first half of these axes, the term for the Nyquist frequency in the + middle of the axes and the negative frequency terms in the second half of + the axes, in order of decreasingly negative frequency. + + See `fftn` for details and a plotting example, and `numpy.fft` for + definitions and conventions used. + + + Examples + -------- + >>> a = np.mgrid[:5, :5][0] + >>> np.fft.fft2(a) + array([[ 50. +0.j , 0. +0.j , 0. +0.j , # may vary + 0. +0.j , 0. +0.j ], + [-12.5+17.20477401j, 0. +0.j , 0. +0.j , + 0. +0.j , 0. +0.j ], + [-12.5 +4.0614962j , 0. +0.j , 0. +0.j , + 0. +0.j , 0. +0.j ], + [-12.5 -4.0614962j , 0. +0.j , 0. +0.j , + 0. +0.j , 0. +0.j ], + [-12.5-17.20477401j, 0. +0.j , 0. +0.j , + 0. +0.j , 0. +0.j ]]) + + """ + return _raw_fftnd(a, s, axes, fft, norm) + + +@array_function_dispatch(_fftn_dispatcher) +def ifft2(a, s=None, axes=(-2, -1), norm=None): + """ + Compute the 2-dimensional inverse discrete Fourier Transform. + + This function computes the inverse of the 2-dimensional discrete Fourier + Transform over any number of axes in an M-dimensional array by means of + the Fast Fourier Transform (FFT). In other words, ``ifft2(fft2(a)) == a`` + to within numerical accuracy. By default, the inverse transform is + computed over the last two axes of the input array. + + The input, analogously to `ifft`, should be ordered in the same way as is + returned by `fft2`, i.e. it should have the term for zero frequency + in the low-order corner of the two axes, the positive frequency terms in + the first half of these axes, the term for the Nyquist frequency in the + middle of the axes and the negative frequency terms in the second half of + both axes, in order of decreasingly negative frequency. + + Parameters + ---------- + a : array_like + Input array, can be complex. + s : sequence of ints, optional + Shape (length of each axis) of the output (``s[0]`` refers to axis 0, + ``s[1]`` to axis 1, etc.). This corresponds to `n` for ``ifft(x, n)``. + Along each axis, if the given shape is smaller than that of the input, + the input is cropped. If it is larger, the input is padded with zeros. + if `s` is not given, the shape of the input along the axes specified + by `axes` is used. See notes for issue on `ifft` zero padding. + axes : sequence of ints, optional + Axes over which to compute the FFT. If not given, the last two + axes are used. A repeated index in `axes` means the transform over + that axis is performed multiple times. A one-element sequence means + that a one-dimensional FFT is performed. + norm : {"backward", "ortho", "forward"}, optional + .. versionadded:: 1.10.0 + + Normalization mode (see `numpy.fft`). Default is "backward". + Indicates which direction of the forward/backward pair of transforms + is scaled and with what normalization factor. + + .. versionadded:: 1.20.0 + + The "backward", "forward" values were added. + + Returns + ------- + out : complex ndarray + The truncated or zero-padded input, transformed along the axes + indicated by `axes`, or the last two axes if `axes` is not given. + + Raises + ------ + ValueError + If `s` and `axes` have different length, or `axes` not given and + ``len(s) != 2``. + IndexError + If an element of `axes` is larger than than the number of axes of `a`. + + See Also + -------- + numpy.fft : Overall view of discrete Fourier transforms, with definitions + and conventions used. + fft2 : The forward 2-dimensional FFT, of which `ifft2` is the inverse. + ifftn : The inverse of the *n*-dimensional FFT. + fft : The one-dimensional FFT. + ifft : The one-dimensional inverse FFT. + + Notes + ----- + `ifft2` is just `ifftn` with a different default for `axes`. + + See `ifftn` for details and a plotting example, and `numpy.fft` for + definition and conventions used. + + Zero-padding, analogously with `ifft`, is performed by appending zeros to + the input along the specified dimension. Although this is the common + approach, it might lead to surprising results. If another form of zero + padding is desired, it must be performed before `ifft2` is called. + + Examples + -------- + >>> a = 4 * np.eye(4) + >>> np.fft.ifft2(a) + array([[1.+0.j, 0.+0.j, 0.+0.j, 0.+0.j], # may vary + [0.+0.j, 0.+0.j, 0.+0.j, 1.+0.j], + [0.+0.j, 0.+0.j, 1.+0.j, 0.+0.j], + [0.+0.j, 1.+0.j, 0.+0.j, 0.+0.j]]) + + """ + return _raw_fftnd(a, s, axes, ifft, norm) + + +@array_function_dispatch(_fftn_dispatcher) +def rfftn(a, s=None, axes=None, norm=None): + """ + Compute the N-dimensional discrete Fourier Transform for real input. + + This function computes the N-dimensional discrete Fourier Transform over + any number of axes in an M-dimensional real array by means of the Fast + Fourier Transform (FFT). By default, all axes are transformed, with the + real transform performed over the last axis, while the remaining + transforms are complex. + + Parameters + ---------- + a : array_like + Input array, taken to be real. + s : sequence of ints, optional + Shape (length along each transformed axis) to use from the input. + (``s[0]`` refers to axis 0, ``s[1]`` to axis 1, etc.). + The final element of `s` corresponds to `n` for ``rfft(x, n)``, while + for the remaining axes, it corresponds to `n` for ``fft(x, n)``. + Along any axis, if the given shape is smaller than that of the input, + the input is cropped. If it is larger, the input is padded with zeros. + if `s` is not given, the shape of the input along the axes specified + by `axes` is used. + axes : sequence of ints, optional + Axes over which to compute the FFT. If not given, the last ``len(s)`` + axes are used, or all axes if `s` is also not specified. + norm : {"backward", "ortho", "forward"}, optional + .. versionadded:: 1.10.0 + + Normalization mode (see `numpy.fft`). Default is "backward". + Indicates which direction of the forward/backward pair of transforms + is scaled and with what normalization factor. + + .. versionadded:: 1.20.0 + + The "backward", "forward" values were added. + + Returns + ------- + out : complex ndarray + The truncated or zero-padded input, transformed along the axes + indicated by `axes`, or by a combination of `s` and `a`, + as explained in the parameters section above. + The length of the last axis transformed will be ``s[-1]//2+1``, + while the remaining transformed axes will have lengths according to + `s`, or unchanged from the input. + + Raises + ------ + ValueError + If `s` and `axes` have different length. + IndexError + If an element of `axes` is larger than than the number of axes of `a`. + + See Also + -------- + irfftn : The inverse of `rfftn`, i.e. the inverse of the n-dimensional FFT + of real input. + fft : The one-dimensional FFT, with definitions and conventions used. + rfft : The one-dimensional FFT of real input. + fftn : The n-dimensional FFT. + rfft2 : The two-dimensional FFT of real input. + + Notes + ----- + The transform for real input is performed over the last transformation + axis, as by `rfft`, then the transform over the remaining axes is + performed as by `fftn`. The order of the output is as for `rfft` for the + final transformation axis, and as for `fftn` for the remaining + transformation axes. + + See `fft` for details, definitions and conventions used. + + Examples + -------- + >>> a = np.ones((2, 2, 2)) + >>> np.fft.rfftn(a) + array([[[8.+0.j, 0.+0.j], # may vary + [0.+0.j, 0.+0.j]], + [[0.+0.j, 0.+0.j], + [0.+0.j, 0.+0.j]]]) + + >>> np.fft.rfftn(a, axes=(2, 0)) + array([[[4.+0.j, 0.+0.j], # may vary + [4.+0.j, 0.+0.j]], + [[0.+0.j, 0.+0.j], + [0.+0.j, 0.+0.j]]]) + + """ + a = asarray(a) + s, axes = _cook_nd_args(a, s, axes) + a = rfft(a, s[-1], axes[-1], norm) + for ii in range(len(axes)-1): + a = fft(a, s[ii], axes[ii], norm) + return a + + +@array_function_dispatch(_fftn_dispatcher) +def rfft2(a, s=None, axes=(-2, -1), norm=None): + """ + Compute the 2-dimensional FFT of a real array. + + Parameters + ---------- + a : array + Input array, taken to be real. + s : sequence of ints, optional + Shape of the FFT. + axes : sequence of ints, optional + Axes over which to compute the FFT. + norm : {"backward", "ortho", "forward"}, optional + .. versionadded:: 1.10.0 + + Normalization mode (see `numpy.fft`). Default is "backward". + Indicates which direction of the forward/backward pair of transforms + is scaled and with what normalization factor. + + .. versionadded:: 1.20.0 + + The "backward", "forward" values were added. + + Returns + ------- + out : ndarray + The result of the real 2-D FFT. + + See Also + -------- + rfftn : Compute the N-dimensional discrete Fourier Transform for real + input. + + Notes + ----- + This is really just `rfftn` with different default behavior. + For more details see `rfftn`. + + Examples + -------- + >>> a = np.mgrid[:5, :5][0] + >>> np.fft.rfft2(a) + array([[ 50. +0.j , 0. +0.j , 0. +0.j ], + [-12.5+17.20477401j, 0. +0.j , 0. +0.j ], + [-12.5 +4.0614962j , 0. +0.j , 0. +0.j ], + [-12.5 -4.0614962j , 0. +0.j , 0. +0.j ], + [-12.5-17.20477401j, 0. +0.j , 0. +0.j ]]) + """ + return rfftn(a, s, axes, norm) + + +@array_function_dispatch(_fftn_dispatcher) +def irfftn(a, s=None, axes=None, norm=None): + """ + Computes the inverse of `rfftn`. + + This function computes the inverse of the N-dimensional discrete + Fourier Transform for real input over any number of axes in an + M-dimensional array by means of the Fast Fourier Transform (FFT). In + other words, ``irfftn(rfftn(a), a.shape) == a`` to within numerical + accuracy. (The ``a.shape`` is necessary like ``len(a)`` is for `irfft`, + and for the same reason.) + + The input should be ordered in the same way as is returned by `rfftn`, + i.e. as for `irfft` for the final transformation axis, and as for `ifftn` + along all the other axes. + + Parameters + ---------- + a : array_like + Input array. + s : sequence of ints, optional + Shape (length of each transformed axis) of the output + (``s[0]`` refers to axis 0, ``s[1]`` to axis 1, etc.). `s` is also the + number of input points used along this axis, except for the last axis, + where ``s[-1]//2+1`` points of the input are used. + Along any axis, if the shape indicated by `s` is smaller than that of + the input, the input is cropped. If it is larger, the input is padded + with zeros. If `s` is not given, the shape of the input along the axes + specified by axes is used. Except for the last axis which is taken to + be ``2*(m-1)`` where ``m`` is the length of the input along that axis. + axes : sequence of ints, optional + Axes over which to compute the inverse FFT. If not given, the last + `len(s)` axes are used, or all axes if `s` is also not specified. + Repeated indices in `axes` means that the inverse transform over that + axis is performed multiple times. + norm : {"backward", "ortho", "forward"}, optional + .. versionadded:: 1.10.0 + + Normalization mode (see `numpy.fft`). Default is "backward". + Indicates which direction of the forward/backward pair of transforms + is scaled and with what normalization factor. + + .. versionadded:: 1.20.0 + + The "backward", "forward" values were added. + + Returns + ------- + out : ndarray + The truncated or zero-padded input, transformed along the axes + indicated by `axes`, or by a combination of `s` or `a`, + as explained in the parameters section above. + The length of each transformed axis is as given by the corresponding + element of `s`, or the length of the input in every axis except for the + last one if `s` is not given. In the final transformed axis the length + of the output when `s` is not given is ``2*(m-1)`` where ``m`` is the + length of the final transformed axis of the input. To get an odd + number of output points in the final axis, `s` must be specified. + + Raises + ------ + ValueError + If `s` and `axes` have different length. + IndexError + If an element of `axes` is larger than than the number of axes of `a`. + + See Also + -------- + rfftn : The forward n-dimensional FFT of real input, + of which `ifftn` is the inverse. + fft : The one-dimensional FFT, with definitions and conventions used. + irfft : The inverse of the one-dimensional FFT of real input. + irfft2 : The inverse of the two-dimensional FFT of real input. + + Notes + ----- + See `fft` for definitions and conventions used. + + See `rfft` for definitions and conventions used for real input. + + The correct interpretation of the hermitian input depends on the shape of + the original data, as given by `s`. This is because each input shape could + correspond to either an odd or even length signal. By default, `irfftn` + assumes an even output length which puts the last entry at the Nyquist + frequency; aliasing with its symmetric counterpart. When performing the + final complex to real transform, the last value is thus treated as purely + real. To avoid losing information, the correct shape of the real input + **must** be given. + + Examples + -------- + >>> a = np.zeros((3, 2, 2)) + >>> a[0, 0, 0] = 3 * 2 * 2 + >>> np.fft.irfftn(a) + array([[[1., 1.], + [1., 1.]], + [[1., 1.], + [1., 1.]], + [[1., 1.], + [1., 1.]]]) + + """ + a = asarray(a) + s, axes = _cook_nd_args(a, s, axes, invreal=1) + for ii in range(len(axes)-1): + a = ifft(a, s[ii], axes[ii], norm) + a = irfft(a, s[-1], axes[-1], norm) + return a + + +@array_function_dispatch(_fftn_dispatcher) +def irfft2(a, s=None, axes=(-2, -1), norm=None): + """ + Computes the inverse of `rfft2`. + + Parameters + ---------- + a : array_like + The input array + s : sequence of ints, optional + Shape of the real output to the inverse FFT. + axes : sequence of ints, optional + The axes over which to compute the inverse fft. + Default is the last two axes. + norm : {"backward", "ortho", "forward"}, optional + .. versionadded:: 1.10.0 + + Normalization mode (see `numpy.fft`). Default is "backward". + Indicates which direction of the forward/backward pair of transforms + is scaled and with what normalization factor. + + .. versionadded:: 1.20.0 + + The "backward", "forward" values were added. + + Returns + ------- + out : ndarray + The result of the inverse real 2-D FFT. + + See Also + -------- + rfft2 : The forward two-dimensional FFT of real input, + of which `irfft2` is the inverse. + rfft : The one-dimensional FFT for real input. + irfft : The inverse of the one-dimensional FFT of real input. + irfftn : Compute the inverse of the N-dimensional FFT of real input. + + Notes + ----- + This is really `irfftn` with different defaults. + For more details see `irfftn`. + + Examples + -------- + >>> a = np.mgrid[:5, :5][0] + >>> A = np.fft.rfft2(a) + >>> np.fft.irfft2(A, s=a.shape) + array([[0., 0., 0., 0., 0.], + [1., 1., 1., 1., 1.], + [2., 2., 2., 2., 2.], + [3., 3., 3., 3., 3.], + [4., 4., 4., 4., 4.]]) + """ + return irfftn(a, s, axes, norm) diff --git a/lib/python3.12/site-packages/numpy/fft/_pocketfft.pyi b/lib/python3.12/site-packages/numpy/fft/_pocketfft.pyi new file mode 100644 index 0000000000000000000000000000000000000000..2bd8b0ba34af4166679c3bb96df1c26f88263bfc --- /dev/null +++ b/lib/python3.12/site-packages/numpy/fft/_pocketfft.pyi @@ -0,0 +1,108 @@ +from collections.abc import Sequence +from typing import Literal as L + +from numpy import complex128, float64 +from numpy._typing import ArrayLike, NDArray, _ArrayLikeNumber_co + +_NormKind = L[None, "backward", "ortho", "forward"] + +__all__: list[str] + +def fft( + a: ArrayLike, + n: None | int = ..., + axis: int = ..., + norm: _NormKind = ..., +) -> NDArray[complex128]: ... + +def ifft( + a: ArrayLike, + n: None | int = ..., + axis: int = ..., + norm: _NormKind = ..., +) -> NDArray[complex128]: ... + +def rfft( + a: ArrayLike, + n: None | int = ..., + axis: int = ..., + norm: _NormKind = ..., +) -> NDArray[complex128]: ... + +def irfft( + a: ArrayLike, + n: None | int = ..., + axis: int = ..., + norm: _NormKind = ..., +) -> NDArray[float64]: ... + +# Input array must be compatible with `np.conjugate` +def hfft( + a: _ArrayLikeNumber_co, + n: None | int = ..., + axis: int = ..., + norm: _NormKind = ..., +) -> NDArray[float64]: ... + +def ihfft( + a: ArrayLike, + n: None | int = ..., + axis: int = ..., + norm: _NormKind = ..., +) -> NDArray[complex128]: ... + +def fftn( + a: ArrayLike, + s: None | Sequence[int] = ..., + axes: None | Sequence[int] = ..., + norm: _NormKind = ..., +) -> NDArray[complex128]: ... + +def ifftn( + a: ArrayLike, + s: None | Sequence[int] = ..., + axes: None | Sequence[int] = ..., + norm: _NormKind = ..., +) -> NDArray[complex128]: ... + +def rfftn( + a: ArrayLike, + s: None | Sequence[int] = ..., + axes: None | Sequence[int] = ..., + norm: _NormKind = ..., +) -> NDArray[complex128]: ... + +def irfftn( + a: ArrayLike, + s: None | Sequence[int] = ..., + axes: None | Sequence[int] = ..., + norm: _NormKind = ..., +) -> NDArray[float64]: ... + +def fft2( + a: ArrayLike, + s: None | Sequence[int] = ..., + axes: None | Sequence[int] = ..., + norm: _NormKind = ..., +) -> NDArray[complex128]: ... + +def ifft2( + a: ArrayLike, + s: None | Sequence[int] = ..., + axes: None | Sequence[int] = ..., + norm: _NormKind = ..., +) -> NDArray[complex128]: ... + +def rfft2( + a: ArrayLike, + s: None | Sequence[int] = ..., + axes: None | Sequence[int] = ..., + norm: _NormKind = ..., +) -> NDArray[complex128]: ... + +def irfft2( + a: ArrayLike, + s: None | Sequence[int] = ..., + axes: None | Sequence[int] = ..., + norm: _NormKind = ..., +) -> NDArray[float64]: ... diff --git a/lib/python3.12/site-packages/numpy/fft/_pocketfft_internal.cpython-312-x86_64-linux-gnu.so b/lib/python3.12/site-packages/numpy/fft/_pocketfft_internal.cpython-312-x86_64-linux-gnu.so new file mode 100644 index 0000000000000000000000000000000000000000..87cc095a513e6d5403aecf64ea12fbe07290164b Binary files /dev/null and b/lib/python3.12/site-packages/numpy/fft/_pocketfft_internal.cpython-312-x86_64-linux-gnu.so differ diff --git a/lib/python3.12/site-packages/numpy/fft/helper.py b/lib/python3.12/site-packages/numpy/fft/helper.py new file mode 100644 index 0000000000000000000000000000000000000000..927ee1af1622c14c0d35bdc20660cfff77d6b6b7 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/fft/helper.py @@ -0,0 +1,221 @@ +""" +Discrete Fourier Transforms - helper.py + +""" +from numpy.core import integer, empty, arange, asarray, roll +from numpy.core.overrides import array_function_dispatch, set_module + +# Created by Pearu Peterson, September 2002 + +__all__ = ['fftshift', 'ifftshift', 'fftfreq', 'rfftfreq'] + +integer_types = (int, integer) + + +def _fftshift_dispatcher(x, axes=None): + return (x,) + + +@array_function_dispatch(_fftshift_dispatcher, module='numpy.fft') +def fftshift(x, axes=None): + """ + Shift the zero-frequency component to the center of the spectrum. + + This function swaps half-spaces for all axes listed (defaults to all). + Note that ``y[0]`` is the Nyquist component only if ``len(x)`` is even. + + Parameters + ---------- + x : array_like + Input array. + axes : int or shape tuple, optional + Axes over which to shift. Default is None, which shifts all axes. + + Returns + ------- + y : ndarray + The shifted array. + + See Also + -------- + ifftshift : The inverse of `fftshift`. + + Examples + -------- + >>> freqs = np.fft.fftfreq(10, 0.1) + >>> freqs + array([ 0., 1., 2., ..., -3., -2., -1.]) + >>> np.fft.fftshift(freqs) + array([-5., -4., -3., -2., -1., 0., 1., 2., 3., 4.]) + + Shift the zero-frequency component only along the second axis: + + >>> freqs = np.fft.fftfreq(9, d=1./9).reshape(3, 3) + >>> freqs + array([[ 0., 1., 2.], + [ 3., 4., -4.], + [-3., -2., -1.]]) + >>> np.fft.fftshift(freqs, axes=(1,)) + array([[ 2., 0., 1.], + [-4., 3., 4.], + [-1., -3., -2.]]) + + """ + x = asarray(x) + if axes is None: + axes = tuple(range(x.ndim)) + shift = [dim // 2 for dim in x.shape] + elif isinstance(axes, integer_types): + shift = x.shape[axes] // 2 + else: + shift = [x.shape[ax] // 2 for ax in axes] + + return roll(x, shift, axes) + + +@array_function_dispatch(_fftshift_dispatcher, module='numpy.fft') +def ifftshift(x, axes=None): + """ + The inverse of `fftshift`. Although identical for even-length `x`, the + functions differ by one sample for odd-length `x`. + + Parameters + ---------- + x : array_like + Input array. + axes : int or shape tuple, optional + Axes over which to calculate. Defaults to None, which shifts all axes. + + Returns + ------- + y : ndarray + The shifted array. + + See Also + -------- + fftshift : Shift zero-frequency component to the center of the spectrum. + + Examples + -------- + >>> freqs = np.fft.fftfreq(9, d=1./9).reshape(3, 3) + >>> freqs + array([[ 0., 1., 2.], + [ 3., 4., -4.], + [-3., -2., -1.]]) + >>> np.fft.ifftshift(np.fft.fftshift(freqs)) + array([[ 0., 1., 2.], + [ 3., 4., -4.], + [-3., -2., -1.]]) + + """ + x = asarray(x) + if axes is None: + axes = tuple(range(x.ndim)) + shift = [-(dim // 2) for dim in x.shape] + elif isinstance(axes, integer_types): + shift = -(x.shape[axes] // 2) + else: + shift = [-(x.shape[ax] // 2) for ax in axes] + + return roll(x, shift, axes) + + +@set_module('numpy.fft') +def fftfreq(n, d=1.0): + """ + Return the Discrete Fourier Transform sample frequencies. + + The returned float array `f` contains the frequency bin centers in cycles + per unit of the sample spacing (with zero at the start). For instance, if + the sample spacing is in seconds, then the frequency unit is cycles/second. + + Given a window length `n` and a sample spacing `d`:: + + f = [0, 1, ..., n/2-1, -n/2, ..., -1] / (d*n) if n is even + f = [0, 1, ..., (n-1)/2, -(n-1)/2, ..., -1] / (d*n) if n is odd + + Parameters + ---------- + n : int + Window length. + d : scalar, optional + Sample spacing (inverse of the sampling rate). Defaults to 1. + + Returns + ------- + f : ndarray + Array of length `n` containing the sample frequencies. + + Examples + -------- + >>> signal = np.array([-2, 8, 6, 4, 1, 0, 3, 5], dtype=float) + >>> fourier = np.fft.fft(signal) + >>> n = signal.size + >>> timestep = 0.1 + >>> freq = np.fft.fftfreq(n, d=timestep) + >>> freq + array([ 0. , 1.25, 2.5 , ..., -3.75, -2.5 , -1.25]) + + """ + if not isinstance(n, integer_types): + raise ValueError("n should be an integer") + val = 1.0 / (n * d) + results = empty(n, int) + N = (n-1)//2 + 1 + p1 = arange(0, N, dtype=int) + results[:N] = p1 + p2 = arange(-(n//2), 0, dtype=int) + results[N:] = p2 + return results * val + + +@set_module('numpy.fft') +def rfftfreq(n, d=1.0): + """ + Return the Discrete Fourier Transform sample frequencies + (for usage with rfft, irfft). + + The returned float array `f` contains the frequency bin centers in cycles + per unit of the sample spacing (with zero at the start). For instance, if + the sample spacing is in seconds, then the frequency unit is cycles/second. + + Given a window length `n` and a sample spacing `d`:: + + f = [0, 1, ..., n/2-1, n/2] / (d*n) if n is even + f = [0, 1, ..., (n-1)/2-1, (n-1)/2] / (d*n) if n is odd + + Unlike `fftfreq` (but like `scipy.fftpack.rfftfreq`) + the Nyquist frequency component is considered to be positive. + + Parameters + ---------- + n : int + Window length. + d : scalar, optional + Sample spacing (inverse of the sampling rate). Defaults to 1. + + Returns + ------- + f : ndarray + Array of length ``n//2 + 1`` containing the sample frequencies. + + Examples + -------- + >>> signal = np.array([-2, 8, 6, 4, 1, 0, 3, 5, -3, 4], dtype=float) + >>> fourier = np.fft.rfft(signal) + >>> n = signal.size + >>> sample_rate = 100 + >>> freq = np.fft.fftfreq(n, d=1./sample_rate) + >>> freq + array([ 0., 10., 20., ..., -30., -20., -10.]) + >>> freq = np.fft.rfftfreq(n, d=1./sample_rate) + >>> freq + array([ 0., 10., 20., 30., 40., 50.]) + + """ + if not isinstance(n, integer_types): + raise ValueError("n should be an integer") + val = 1.0/(n*d) + N = n//2 + 1 + results = arange(0, N, dtype=int) + return results * val diff --git a/lib/python3.12/site-packages/numpy/fft/helper.pyi b/lib/python3.12/site-packages/numpy/fft/helper.pyi new file mode 100644 index 0000000000000000000000000000000000000000..9b65251900a3b36fe58050fdeafd2716280344ca --- /dev/null +++ b/lib/python3.12/site-packages/numpy/fft/helper.pyi @@ -0,0 +1,47 @@ +from typing import Any, TypeVar, overload + +from numpy import generic, integer, floating, complexfloating +from numpy._typing import ( + NDArray, + ArrayLike, + _ShapeLike, + _ArrayLike, + _ArrayLikeFloat_co, + _ArrayLikeComplex_co, +) + +_SCT = TypeVar("_SCT", bound=generic) + +__all__: list[str] + +@overload +def fftshift(x: _ArrayLike[_SCT], axes: None | _ShapeLike = ...) -> NDArray[_SCT]: ... +@overload +def fftshift(x: ArrayLike, axes: None | _ShapeLike = ...) -> NDArray[Any]: ... + +@overload +def ifftshift(x: _ArrayLike[_SCT], axes: None | _ShapeLike = ...) -> NDArray[_SCT]: ... +@overload +def ifftshift(x: ArrayLike, axes: None | _ShapeLike = ...) -> NDArray[Any]: ... + +@overload +def fftfreq( + n: int | integer[Any], + d: _ArrayLikeFloat_co = ..., +) -> NDArray[floating[Any]]: ... +@overload +def fftfreq( + n: int | integer[Any], + d: _ArrayLikeComplex_co = ..., +) -> NDArray[complexfloating[Any, Any]]: ... + +@overload +def rfftfreq( + n: int | integer[Any], + d: _ArrayLikeFloat_co = ..., +) -> NDArray[floating[Any]]: ... +@overload +def rfftfreq( + n: int | integer[Any], + d: _ArrayLikeComplex_co = ..., +) -> NDArray[complexfloating[Any, Any]]: ... diff --git a/lib/python3.12/site-packages/numpy/fft/tests/__init__.py b/lib/python3.12/site-packages/numpy/fft/tests/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 diff --git a/lib/python3.12/site-packages/numpy/fft/tests/__pycache__/__init__.cpython-312.pyc b/lib/python3.12/site-packages/numpy/fft/tests/__pycache__/__init__.cpython-312.pyc new file mode 100644 index 0000000000000000000000000000000000000000..a4eeb56764cefc42fa1e10b8403b15e0fca09940 Binary files /dev/null and b/lib/python3.12/site-packages/numpy/fft/tests/__pycache__/__init__.cpython-312.pyc differ diff --git a/lib/python3.12/site-packages/numpy/fft/tests/__pycache__/test_helper.cpython-312.pyc 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/dev/null +++ b/lib/python3.12/site-packages/numpy/fft/tests/test_helper.py @@ -0,0 +1,167 @@ +"""Test functions for fftpack.helper module + +Copied from fftpack.helper by Pearu Peterson, October 2005 + +""" +import numpy as np +from numpy.testing import assert_array_almost_equal +from numpy import fft, pi + + +class TestFFTShift: + + def test_definition(self): + x = [0, 1, 2, 3, 4, -4, -3, -2, -1] + y = [-4, -3, -2, -1, 0, 1, 2, 3, 4] + assert_array_almost_equal(fft.fftshift(x), y) + assert_array_almost_equal(fft.ifftshift(y), x) + x = [0, 1, 2, 3, 4, -5, -4, -3, -2, -1] + y = [-5, -4, -3, -2, -1, 0, 1, 2, 3, 4] + assert_array_almost_equal(fft.fftshift(x), y) + assert_array_almost_equal(fft.ifftshift(y), x) + + def test_inverse(self): + for n in [1, 4, 9, 100, 211]: + x = np.random.random((n,)) + assert_array_almost_equal(fft.ifftshift(fft.fftshift(x)), x) + + def test_axes_keyword(self): + freqs = [[0, 1, 2], [3, 4, -4], [-3, -2, -1]] + shifted = [[-1, -3, -2], [2, 0, 1], [-4, 3, 4]] + assert_array_almost_equal(fft.fftshift(freqs, axes=(0, 1)), shifted) + assert_array_almost_equal(fft.fftshift(freqs, axes=0), + fft.fftshift(freqs, axes=(0,))) + assert_array_almost_equal(fft.ifftshift(shifted, axes=(0, 1)), freqs) + assert_array_almost_equal(fft.ifftshift(shifted, axes=0), + fft.ifftshift(shifted, axes=(0,))) + + assert_array_almost_equal(fft.fftshift(freqs), shifted) + assert_array_almost_equal(fft.ifftshift(shifted), freqs) + + def test_uneven_dims(self): + """ Test 2D input, which has uneven dimension sizes """ + freqs = [ + [0, 1], + [2, 3], + [4, 5] + ] + + # shift in dimension 0 + shift_dim0 = [ + [4, 5], + [0, 1], + [2, 3] + ] + assert_array_almost_equal(fft.fftshift(freqs, axes=0), shift_dim0) + assert_array_almost_equal(fft.ifftshift(shift_dim0, axes=0), freqs) + assert_array_almost_equal(fft.fftshift(freqs, axes=(0,)), shift_dim0) + assert_array_almost_equal(fft.ifftshift(shift_dim0, axes=[0]), freqs) + + # shift in dimension 1 + shift_dim1 = [ + [1, 0], + [3, 2], + [5, 4] + ] + assert_array_almost_equal(fft.fftshift(freqs, axes=1), shift_dim1) + assert_array_almost_equal(fft.ifftshift(shift_dim1, axes=1), freqs) + + # shift in both dimensions + shift_dim_both = [ + [5, 4], + [1, 0], + [3, 2] + ] + assert_array_almost_equal(fft.fftshift(freqs, axes=(0, 1)), shift_dim_both) + assert_array_almost_equal(fft.ifftshift(shift_dim_both, axes=(0, 1)), freqs) + assert_array_almost_equal(fft.fftshift(freqs, axes=[0, 1]), shift_dim_both) + assert_array_almost_equal(fft.ifftshift(shift_dim_both, axes=[0, 1]), freqs) + + # axes=None (default) shift in all dimensions + assert_array_almost_equal(fft.fftshift(freqs, axes=None), shift_dim_both) + assert_array_almost_equal(fft.ifftshift(shift_dim_both, axes=None), freqs) + assert_array_almost_equal(fft.fftshift(freqs), shift_dim_both) + assert_array_almost_equal(fft.ifftshift(shift_dim_both), freqs) + + def test_equal_to_original(self): + """ Test that the new (>=v1.15) implementation (see #10073) is equal to the original (<=v1.14) """ + from numpy.core import asarray, concatenate, arange, take + + def original_fftshift(x, axes=None): + """ How fftshift was implemented in v1.14""" + tmp = asarray(x) + ndim = tmp.ndim + if axes is None: + axes = list(range(ndim)) + elif isinstance(axes, int): + axes = (axes,) + y = tmp + for k in axes: + n = tmp.shape[k] + p2 = (n + 1) // 2 + mylist = concatenate((arange(p2, n), arange(p2))) + y = take(y, mylist, k) + return y + + def original_ifftshift(x, axes=None): + """ How ifftshift was implemented in v1.14 """ + tmp = asarray(x) + ndim = tmp.ndim + if axes is None: + axes = list(range(ndim)) + elif isinstance(axes, int): + axes = (axes,) + y = tmp + for k in axes: + n = tmp.shape[k] + p2 = n - (n + 1) // 2 + mylist = concatenate((arange(p2, n), arange(p2))) + y = take(y, mylist, k) + return y + + # create possible 2d array combinations and try all possible keywords + # compare output to original functions + for i in range(16): + for j in range(16): + for axes_keyword in [0, 1, None, (0,), (0, 1)]: + inp = np.random.rand(i, j) + + assert_array_almost_equal(fft.fftshift(inp, axes_keyword), + original_fftshift(inp, axes_keyword)) + + assert_array_almost_equal(fft.ifftshift(inp, axes_keyword), + original_ifftshift(inp, axes_keyword)) + + +class TestFFTFreq: + + def test_definition(self): + x = [0, 1, 2, 3, 4, -4, -3, -2, -1] + assert_array_almost_equal(9*fft.fftfreq(9), x) + assert_array_almost_equal(9*pi*fft.fftfreq(9, pi), x) + x = [0, 1, 2, 3, 4, -5, -4, -3, -2, -1] + assert_array_almost_equal(10*fft.fftfreq(10), x) + assert_array_almost_equal(10*pi*fft.fftfreq(10, pi), x) + + +class TestRFFTFreq: + + def test_definition(self): + x = [0, 1, 2, 3, 4] + assert_array_almost_equal(9*fft.rfftfreq(9), x) + assert_array_almost_equal(9*pi*fft.rfftfreq(9, pi), x) + x = [0, 1, 2, 3, 4, 5] + assert_array_almost_equal(10*fft.rfftfreq(10), x) + assert_array_almost_equal(10*pi*fft.rfftfreq(10, pi), x) + + +class TestIRFFTN: + + def test_not_last_axis_success(self): + ar, ai = np.random.random((2, 16, 8, 32)) + a = ar + 1j*ai + + axes = (-2,) + + # Should not raise error + fft.irfftn(a, axes=axes) diff --git a/lib/python3.12/site-packages/numpy/fft/tests/test_pocketfft.py b/lib/python3.12/site-packages/numpy/fft/tests/test_pocketfft.py new file mode 100644 index 0000000000000000000000000000000000000000..122a9fac93ec9006e36660c5fa4b446d384b1c3e --- /dev/null +++ b/lib/python3.12/site-packages/numpy/fft/tests/test_pocketfft.py @@ -0,0 +1,308 @@ +import numpy as np +import pytest +from numpy.random import random +from numpy.testing import ( + assert_array_equal, assert_raises, assert_allclose, IS_WASM + ) +import threading +import queue + + +def fft1(x): + L = len(x) + phase = -2j * np.pi * (np.arange(L) / L) + phase = np.arange(L).reshape(-1, 1) * phase + return np.sum(x*np.exp(phase), axis=1) + + +class TestFFTShift: + + def test_fft_n(self): + assert_raises(ValueError, np.fft.fft, [1, 2, 3], 0) + + +class TestFFT1D: + + def test_identity(self): + maxlen = 512 + x = random(maxlen) + 1j*random(maxlen) + xr = random(maxlen) + for i in range(1, maxlen): + assert_allclose(np.fft.ifft(np.fft.fft(x[0:i])), x[0:i], + atol=1e-12) + assert_allclose(np.fft.irfft(np.fft.rfft(xr[0:i]), i), + xr[0:i], atol=1e-12) + + def test_fft(self): + x = random(30) + 1j*random(30) + assert_allclose(fft1(x), np.fft.fft(x), atol=1e-6) + assert_allclose(fft1(x), np.fft.fft(x, norm="backward"), atol=1e-6) + assert_allclose(fft1(x) / np.sqrt(30), + np.fft.fft(x, norm="ortho"), atol=1e-6) + assert_allclose(fft1(x) / 30., + np.fft.fft(x, norm="forward"), atol=1e-6) + + @pytest.mark.parametrize('norm', (None, 'backward', 'ortho', 'forward')) + def test_ifft(self, norm): + x = random(30) + 1j*random(30) + assert_allclose( + x, np.fft.ifft(np.fft.fft(x, norm=norm), norm=norm), + atol=1e-6) + # Ensure we get the correct error message + with pytest.raises(ValueError, + match='Invalid number of FFT data points'): + np.fft.ifft([], norm=norm) + + def test_fft2(self): + x = random((30, 20)) + 1j*random((30, 20)) + assert_allclose(np.fft.fft(np.fft.fft(x, axis=1), axis=0), + np.fft.fft2(x), atol=1e-6) + assert_allclose(np.fft.fft2(x), + np.fft.fft2(x, norm="backward"), atol=1e-6) + assert_allclose(np.fft.fft2(x) / np.sqrt(30 * 20), + np.fft.fft2(x, norm="ortho"), atol=1e-6) + assert_allclose(np.fft.fft2(x) / (30. * 20.), + np.fft.fft2(x, norm="forward"), atol=1e-6) + + def test_ifft2(self): + x = random((30, 20)) + 1j*random((30, 20)) + assert_allclose(np.fft.ifft(np.fft.ifft(x, axis=1), axis=0), + np.fft.ifft2(x), atol=1e-6) + assert_allclose(np.fft.ifft2(x), + np.fft.ifft2(x, norm="backward"), atol=1e-6) + assert_allclose(np.fft.ifft2(x) * np.sqrt(30 * 20), + np.fft.ifft2(x, norm="ortho"), atol=1e-6) + assert_allclose(np.fft.ifft2(x) * (30. * 20.), + np.fft.ifft2(x, norm="forward"), atol=1e-6) + + def test_fftn(self): + x = random((30, 20, 10)) + 1j*random((30, 20, 10)) + assert_allclose( + np.fft.fft(np.fft.fft(np.fft.fft(x, axis=2), axis=1), axis=0), + np.fft.fftn(x), atol=1e-6) + assert_allclose(np.fft.fftn(x), + np.fft.fftn(x, norm="backward"), atol=1e-6) + assert_allclose(np.fft.fftn(x) / np.sqrt(30 * 20 * 10), + np.fft.fftn(x, norm="ortho"), atol=1e-6) + assert_allclose(np.fft.fftn(x) / (30. * 20. * 10.), + np.fft.fftn(x, norm="forward"), atol=1e-6) + + def test_ifftn(self): + x = random((30, 20, 10)) + 1j*random((30, 20, 10)) + assert_allclose( + np.fft.ifft(np.fft.ifft(np.fft.ifft(x, axis=2), axis=1), axis=0), + np.fft.ifftn(x), atol=1e-6) + assert_allclose(np.fft.ifftn(x), + np.fft.ifftn(x, norm="backward"), atol=1e-6) + assert_allclose(np.fft.ifftn(x) * np.sqrt(30 * 20 * 10), + np.fft.ifftn(x, norm="ortho"), atol=1e-6) + assert_allclose(np.fft.ifftn(x) * (30. * 20. * 10.), + np.fft.ifftn(x, norm="forward"), atol=1e-6) + + def test_rfft(self): + x = random(30) + for n in [x.size, 2*x.size]: + for norm in [None, 'backward', 'ortho', 'forward']: + assert_allclose( + np.fft.fft(x, n=n, norm=norm)[:(n//2 + 1)], + np.fft.rfft(x, n=n, norm=norm), atol=1e-6) + assert_allclose( + np.fft.rfft(x, n=n), + np.fft.rfft(x, n=n, norm="backward"), atol=1e-6) + assert_allclose( + np.fft.rfft(x, n=n) / np.sqrt(n), + np.fft.rfft(x, n=n, norm="ortho"), atol=1e-6) + assert_allclose( + np.fft.rfft(x, n=n) / n, + np.fft.rfft(x, n=n, norm="forward"), atol=1e-6) + + def test_irfft(self): + x = random(30) + assert_allclose(x, np.fft.irfft(np.fft.rfft(x)), atol=1e-6) + assert_allclose(x, np.fft.irfft(np.fft.rfft(x, norm="backward"), + norm="backward"), atol=1e-6) + assert_allclose(x, np.fft.irfft(np.fft.rfft(x, norm="ortho"), + norm="ortho"), atol=1e-6) + assert_allclose(x, np.fft.irfft(np.fft.rfft(x, norm="forward"), + norm="forward"), atol=1e-6) + + def test_rfft2(self): + x = random((30, 20)) + assert_allclose(np.fft.fft2(x)[:, :11], np.fft.rfft2(x), atol=1e-6) + assert_allclose(np.fft.rfft2(x), + np.fft.rfft2(x, norm="backward"), atol=1e-6) + assert_allclose(np.fft.rfft2(x) / np.sqrt(30 * 20), + np.fft.rfft2(x, norm="ortho"), atol=1e-6) + assert_allclose(np.fft.rfft2(x) / (30. * 20.), + np.fft.rfft2(x, norm="forward"), atol=1e-6) + + def test_irfft2(self): + x = random((30, 20)) + assert_allclose(x, np.fft.irfft2(np.fft.rfft2(x)), atol=1e-6) + assert_allclose(x, np.fft.irfft2(np.fft.rfft2(x, norm="backward"), + norm="backward"), atol=1e-6) + assert_allclose(x, np.fft.irfft2(np.fft.rfft2(x, norm="ortho"), + norm="ortho"), atol=1e-6) + assert_allclose(x, np.fft.irfft2(np.fft.rfft2(x, norm="forward"), + norm="forward"), atol=1e-6) + + def test_rfftn(self): + x = random((30, 20, 10)) + assert_allclose(np.fft.fftn(x)[:, :, :6], np.fft.rfftn(x), atol=1e-6) + assert_allclose(np.fft.rfftn(x), + np.fft.rfftn(x, norm="backward"), atol=1e-6) + assert_allclose(np.fft.rfftn(x) / np.sqrt(30 * 20 * 10), + np.fft.rfftn(x, norm="ortho"), atol=1e-6) + assert_allclose(np.fft.rfftn(x) / (30. * 20. * 10.), + np.fft.rfftn(x, norm="forward"), atol=1e-6) + + def test_irfftn(self): + x = random((30, 20, 10)) + assert_allclose(x, np.fft.irfftn(np.fft.rfftn(x)), atol=1e-6) + assert_allclose(x, np.fft.irfftn(np.fft.rfftn(x, norm="backward"), + norm="backward"), atol=1e-6) + assert_allclose(x, np.fft.irfftn(np.fft.rfftn(x, norm="ortho"), + norm="ortho"), atol=1e-6) + assert_allclose(x, np.fft.irfftn(np.fft.rfftn(x, norm="forward"), + norm="forward"), atol=1e-6) + + def test_hfft(self): + x = random(14) + 1j*random(14) + x_herm = np.concatenate((random(1), x, random(1))) + x = np.concatenate((x_herm, x[::-1].conj())) + assert_allclose(np.fft.fft(x), np.fft.hfft(x_herm), atol=1e-6) + assert_allclose(np.fft.hfft(x_herm), + np.fft.hfft(x_herm, norm="backward"), atol=1e-6) + assert_allclose(np.fft.hfft(x_herm) / np.sqrt(30), + np.fft.hfft(x_herm, norm="ortho"), atol=1e-6) + assert_allclose(np.fft.hfft(x_herm) / 30., + np.fft.hfft(x_herm, norm="forward"), atol=1e-6) + + def test_ihfft(self): + x = random(14) + 1j*random(14) + x_herm = np.concatenate((random(1), x, random(1))) + x = np.concatenate((x_herm, x[::-1].conj())) + assert_allclose(x_herm, np.fft.ihfft(np.fft.hfft(x_herm)), atol=1e-6) + assert_allclose(x_herm, np.fft.ihfft(np.fft.hfft(x_herm, + norm="backward"), norm="backward"), atol=1e-6) + assert_allclose(x_herm, np.fft.ihfft(np.fft.hfft(x_herm, + norm="ortho"), norm="ortho"), atol=1e-6) + assert_allclose(x_herm, np.fft.ihfft(np.fft.hfft(x_herm, + norm="forward"), norm="forward"), atol=1e-6) + + @pytest.mark.parametrize("op", [np.fft.fftn, np.fft.ifftn, + np.fft.rfftn, np.fft.irfftn]) + def test_axes(self, op): + x = random((30, 20, 10)) + axes = [(0, 1, 2), (0, 2, 1), (1, 0, 2), (1, 2, 0), (2, 0, 1), (2, 1, 0)] + for a in axes: + op_tr = op(np.transpose(x, a)) + tr_op = np.transpose(op(x, axes=a), a) + assert_allclose(op_tr, tr_op, atol=1e-6) + + def test_all_1d_norm_preserving(self): + # verify that round-trip transforms are norm-preserving + x = random(30) + x_norm = np.linalg.norm(x) + n = x.size * 2 + func_pairs = [(np.fft.fft, np.fft.ifft), + (np.fft.rfft, np.fft.irfft), + # hfft: order so the first function takes x.size samples + # (necessary for comparison to x_norm above) + (np.fft.ihfft, np.fft.hfft), + ] + for forw, back in func_pairs: + for n in [x.size, 2*x.size]: + for norm in [None, 'backward', 'ortho', 'forward']: + tmp = forw(x, n=n, norm=norm) + tmp = back(tmp, n=n, norm=norm) + assert_allclose(x_norm, + np.linalg.norm(tmp), atol=1e-6) + + @pytest.mark.parametrize("dtype", [np.half, np.single, np.double, + np.longdouble]) + def test_dtypes(self, dtype): + # make sure that all input precisions are accepted and internally + # converted to 64bit + x = random(30).astype(dtype) + assert_allclose(np.fft.ifft(np.fft.fft(x)), x, atol=1e-6) + assert_allclose(np.fft.irfft(np.fft.rfft(x)), x, atol=1e-6) + + +@pytest.mark.parametrize( + "dtype", + [np.float32, np.float64, np.complex64, np.complex128]) +@pytest.mark.parametrize("order", ["F", 'non-contiguous']) +@pytest.mark.parametrize( + "fft", + [np.fft.fft, np.fft.fft2, np.fft.fftn, + np.fft.ifft, np.fft.ifft2, np.fft.ifftn]) +def test_fft_with_order(dtype, order, fft): + # Check that FFT/IFFT produces identical results for C, Fortran and + # non contiguous arrays + rng = np.random.RandomState(42) + X = rng.rand(8, 7, 13).astype(dtype, copy=False) + # See discussion in pull/14178 + _tol = 8.0 * np.sqrt(np.log2(X.size)) * np.finfo(X.dtype).eps + if order == 'F': + Y = np.asfortranarray(X) + else: + # Make a non contiguous array + Y = X[::-1] + X = np.ascontiguousarray(X[::-1]) + + if fft.__name__.endswith('fft'): + for axis in range(3): + X_res = fft(X, axis=axis) + Y_res = fft(Y, axis=axis) + assert_allclose(X_res, Y_res, atol=_tol, rtol=_tol) + elif fft.__name__.endswith(('fft2', 'fftn')): + axes = [(0, 1), (1, 2), (0, 2)] + if fft.__name__.endswith('fftn'): + axes.extend([(0,), (1,), (2,), None]) + for ax in axes: + X_res = fft(X, axes=ax) + Y_res = fft(Y, axes=ax) + assert_allclose(X_res, Y_res, atol=_tol, rtol=_tol) + else: + raise ValueError() + + +@pytest.mark.skipif(IS_WASM, reason="Cannot start thread") +class TestFFTThreadSafe: + threads = 16 + input_shape = (800, 200) + + def _test_mtsame(self, func, *args): + def worker(args, q): + q.put(func(*args)) + + q = queue.Queue() + expected = func(*args) + + # Spin off a bunch of threads to call the same function simultaneously + t = [threading.Thread(target=worker, args=(args, q)) + for i in range(self.threads)] + [x.start() for x in t] + + [x.join() for x in t] + # Make sure all threads returned the correct value + for i in range(self.threads): + assert_array_equal(q.get(timeout=5), expected, + 'Function returned wrong value in multithreaded context') + + def test_fft(self): + a = np.ones(self.input_shape) * 1+0j + self._test_mtsame(np.fft.fft, a) + + def test_ifft(self): + a = np.ones(self.input_shape) * 1+0j + self._test_mtsame(np.fft.ifft, a) + + def test_rfft(self): + a = np.ones(self.input_shape) + self._test_mtsame(np.fft.rfft, a) + + def test_irfft(self): + a = np.ones(self.input_shape) * 1+0j + self._test_mtsame(np.fft.irfft, a) diff --git a/lib/python3.12/site-packages/numpy/lib/__init__.py b/lib/python3.12/site-packages/numpy/lib/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..cbab200e0918e7c2668a662435c873eb9cd37724 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/__init__.py @@ -0,0 +1,92 @@ +""" +**Note:** almost all functions in the ``numpy.lib`` namespace +are also present in the main ``numpy`` namespace. Please use the +functions as ``np.`` where possible. + +``numpy.lib`` is mostly a space for implementing functions that don't +belong in core or in another NumPy submodule with a clear purpose +(e.g. ``random``, ``fft``, ``linalg``, ``ma``). + +Most contains basic functions that are used by several submodules and are +useful to have in the main name-space. + +""" + +# Public submodules +# Note: recfunctions and (maybe) format are public too, but not imported +from . import mixins +from . import scimath as emath + +# Private submodules +# load module names. See https://github.com/networkx/networkx/issues/5838 +from . import type_check +from . import index_tricks +from . import function_base +from . import nanfunctions +from . import shape_base +from . import stride_tricks +from . import twodim_base +from . import ufunclike +from . import histograms +from . import polynomial +from . import utils +from . import arraysetops +from . import npyio +from . import arrayterator +from . import arraypad +from . import _version + +from .type_check import * +from .index_tricks import * +from .function_base import * +from .nanfunctions import * +from .shape_base import * +from .stride_tricks import * +from .twodim_base import * +from .ufunclike import * +from .histograms import * + +from .polynomial import * +from .utils import * +from .arraysetops import * +from .npyio import * +from .arrayterator import Arrayterator +from .arraypad import * +from ._version import * +from numpy.core._multiarray_umath import tracemalloc_domain + +__all__ = ['emath', 'tracemalloc_domain', 'Arrayterator'] +__all__ += type_check.__all__ +__all__ += index_tricks.__all__ +__all__ += function_base.__all__ +__all__ += shape_base.__all__ +__all__ += stride_tricks.__all__ +__all__ += twodim_base.__all__ +__all__ += ufunclike.__all__ +__all__ += arraypad.__all__ +__all__ += polynomial.__all__ +__all__ += utils.__all__ +__all__ += arraysetops.__all__ +__all__ += npyio.__all__ +__all__ += nanfunctions.__all__ +__all__ += histograms.__all__ + +from numpy._pytesttester import PytestTester +test = PytestTester(__name__) +del PytestTester + +def __getattr__(attr): + # Warn for reprecated attributes + import math + import warnings + + if attr == 'math': + warnings.warn( + "`np.lib.math` is a deprecated alias for the standard library " + "`math` module (Deprecated Numpy 1.25). Replace usages of " + "`numpy.lib.math` with `math`", DeprecationWarning, stacklevel=2) + return math + else: + raise AttributeError("module {!r} has no attribute " + "{!r}".format(__name__, attr)) + diff --git a/lib/python3.12/site-packages/numpy/lib/__init__.pyi b/lib/python3.12/site-packages/numpy/lib/__init__.pyi new file mode 100644 index 0000000000000000000000000000000000000000..d3553bbcca7ba16703f7229c051aadfbe3a34b4d --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/__init__.pyi @@ -0,0 +1,245 @@ +import math as math +from typing import Any + +from numpy._pytesttester import PytestTester + +from numpy import ( + ndenumerate as ndenumerate, + ndindex as ndindex, +) + +from numpy.version import version + +from numpy.lib import ( + format as format, + mixins as mixins, + scimath as scimath, + stride_tricks as stride_tricks, +) + +from numpy.lib._version import ( + NumpyVersion as NumpyVersion, +) + +from numpy.lib.arraypad import ( + pad as pad, +) + +from numpy.lib.arraysetops import ( + ediff1d as ediff1d, + intersect1d as intersect1d, + setxor1d as setxor1d, + union1d as union1d, + setdiff1d as setdiff1d, + unique as unique, + in1d as in1d, + isin as isin, +) + +from numpy.lib.arrayterator import ( + Arrayterator as Arrayterator, +) + +from numpy.lib.function_base import ( + select as select, + piecewise as piecewise, + trim_zeros as trim_zeros, + copy as copy, + iterable as iterable, + percentile as percentile, + diff as diff, + gradient as gradient, + angle as angle, + unwrap as unwrap, + sort_complex as sort_complex, + disp as disp, + flip as flip, + rot90 as rot90, + extract as extract, + place as place, + vectorize as vectorize, + asarray_chkfinite as asarray_chkfinite, + average as average, + bincount as bincount, + digitize as digitize, + cov as cov, + corrcoef as corrcoef, + median as median, + sinc as sinc, + hamming as hamming, + hanning as hanning, + bartlett as bartlett, + blackman as blackman, + kaiser as kaiser, + trapz as trapz, + i0 as i0, + add_newdoc as add_newdoc, + add_docstring as add_docstring, + meshgrid as meshgrid, + delete as delete, + insert as insert, + append as append, + interp as interp, + add_newdoc_ufunc as add_newdoc_ufunc, + quantile as quantile, +) + +from numpy.lib.histograms import ( + histogram_bin_edges as histogram_bin_edges, + histogram as histogram, + histogramdd as histogramdd, +) + +from numpy.lib.index_tricks import ( + ravel_multi_index as ravel_multi_index, + unravel_index as unravel_index, + mgrid as mgrid, + ogrid as ogrid, + r_ as r_, + c_ as c_, + s_ as s_, + index_exp as index_exp, + ix_ as ix_, + fill_diagonal as fill_diagonal, + diag_indices as diag_indices, + diag_indices_from as diag_indices_from, +) + +from numpy.lib.nanfunctions import ( + nansum as nansum, + nanmax as nanmax, + nanmin as nanmin, + nanargmax as nanargmax, + nanargmin as nanargmin, + nanmean as nanmean, + nanmedian as nanmedian, + nanpercentile as nanpercentile, + nanvar as nanvar, + nanstd as nanstd, + nanprod as nanprod, + nancumsum as nancumsum, + nancumprod as nancumprod, + nanquantile as nanquantile, +) + +from numpy.lib.npyio import ( + savetxt as savetxt, + loadtxt as loadtxt, + genfromtxt as genfromtxt, + recfromtxt as recfromtxt, + recfromcsv as recfromcsv, + load as load, + save as save, + savez as savez, + savez_compressed as savez_compressed, + packbits as packbits, + unpackbits as unpackbits, + fromregex as fromregex, + DataSource as DataSource, +) + +from numpy.lib.polynomial import ( + poly as poly, + roots as roots, + polyint as polyint, + polyder as polyder, + polyadd as polyadd, + polysub as polysub, + polymul as polymul, + polydiv as polydiv, + polyval as polyval, + polyfit as polyfit, + RankWarning as RankWarning, + poly1d as poly1d, +) + +from numpy.lib.shape_base import ( + column_stack as column_stack, + row_stack as row_stack, + dstack as dstack, + array_split as array_split, + split as split, + hsplit as hsplit, + vsplit as vsplit, + dsplit as dsplit, + apply_over_axes as apply_over_axes, + expand_dims as expand_dims, + apply_along_axis as apply_along_axis, + kron as kron, + tile as tile, + get_array_wrap as get_array_wrap, + take_along_axis as take_along_axis, + put_along_axis as put_along_axis, +) + +from numpy.lib.stride_tricks import ( + broadcast_to as broadcast_to, + broadcast_arrays as broadcast_arrays, + broadcast_shapes as broadcast_shapes, +) + +from numpy.lib.twodim_base import ( + diag as diag, + diagflat as diagflat, + eye as eye, + fliplr as fliplr, + flipud as flipud, + tri as tri, + triu as triu, + tril as tril, + vander as vander, + histogram2d as histogram2d, + mask_indices as mask_indices, + tril_indices as tril_indices, + tril_indices_from as tril_indices_from, + triu_indices as triu_indices, + triu_indices_from as triu_indices_from, +) + +from numpy.lib.type_check import ( + mintypecode as mintypecode, + asfarray as asfarray, + real as real, + imag as imag, + iscomplex as iscomplex, + isreal as isreal, + iscomplexobj as iscomplexobj, + isrealobj as isrealobj, + nan_to_num as nan_to_num, + real_if_close as real_if_close, + typename as typename, + common_type as common_type, +) + +from numpy.lib.ufunclike import ( + fix as fix, + isposinf as isposinf, + isneginf as isneginf, +) + +from numpy.lib.utils import ( + issubclass_ as issubclass_, + issubsctype as issubsctype, + issubdtype as issubdtype, + deprecate as deprecate, + deprecate_with_doc as deprecate_with_doc, + get_include as get_include, + info as info, + source as source, + who as who, + lookfor as lookfor, + byte_bounds as byte_bounds, + safe_eval as safe_eval, + show_runtime as show_runtime, +) + +from numpy.core.multiarray import ( + tracemalloc_domain as tracemalloc_domain, +) + +__all__: list[str] +__path__: list[str] +test: PytestTester + +__version__ = version +emath = scimath diff --git a/lib/python3.12/site-packages/numpy/lib/__pycache__/__init__.cpython-312.pyc 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know all the +low-level details. Through datasource, a researcher can obtain and use a +file with one function call, regardless of location of the file. + +DataSource is meant to augment standard python libraries, not replace them. +It should work seamlessly with standard file IO operations and the os +module. + +DataSource files can originate locally or remotely: + +- local files : '/home/guido/src/local/data.txt' +- URLs (http, ftp, ...) : 'http://www.scipy.org/not/real/data.txt' + +DataSource files can also be compressed or uncompressed. Currently only +gzip, bz2 and xz are supported. + +Example:: + + >>> # Create a DataSource, use os.curdir (default) for local storage. + >>> from numpy import DataSource + >>> ds = DataSource() + >>> + >>> # Open a remote file. + >>> # DataSource downloads the file, stores it locally in: + >>> # './www.google.com/index.html' + >>> # opens the file and returns a file object. + >>> fp = ds.open('http://www.google.com/') # doctest: +SKIP + >>> + >>> # Use the file as you normally would + >>> fp.read() # doctest: +SKIP + >>> fp.close() # doctest: +SKIP + +""" +import os +import io + +from .._utils import set_module + + +_open = open + + +def _check_mode(mode, encoding, newline): + """Check mode and that encoding and newline are compatible. + + Parameters + ---------- + mode : str + File open mode. + encoding : str + File encoding. + newline : str + Newline for text files. + + """ + if "t" in mode: + if "b" in mode: + raise ValueError("Invalid mode: %r" % (mode,)) + else: + if encoding is not None: + raise ValueError("Argument 'encoding' not supported in binary mode") + if newline is not None: + raise ValueError("Argument 'newline' not supported in binary mode") + + +# Using a class instead of a module-level dictionary +# to reduce the initial 'import numpy' overhead by +# deferring the import of lzma, bz2 and gzip until needed + +# TODO: .zip support, .tar support? +class _FileOpeners: + """ + Container for different methods to open (un-)compressed files. + + `_FileOpeners` contains a dictionary that holds one method for each + supported file format. Attribute lookup is implemented in such a way + that an instance of `_FileOpeners` itself can be indexed with the keys + of that dictionary. Currently uncompressed files as well as files + compressed with ``gzip``, ``bz2`` or ``xz`` compression are supported. + + Notes + ----- + `_file_openers`, an instance of `_FileOpeners`, is made available for + use in the `_datasource` module. + + Examples + -------- + >>> import gzip + >>> np.lib._datasource._file_openers.keys() + [None, '.bz2', '.gz', '.xz', '.lzma'] + >>> np.lib._datasource._file_openers['.gz'] is gzip.open + True + + """ + + def __init__(self): + self._loaded = False + self._file_openers = {None: io.open} + + def _load(self): + if self._loaded: + return + + try: + import bz2 + self._file_openers[".bz2"] = bz2.open + except ImportError: + pass + + try: + import gzip + self._file_openers[".gz"] = gzip.open + except ImportError: + pass + + try: + import lzma + self._file_openers[".xz"] = lzma.open + self._file_openers[".lzma"] = lzma.open + except (ImportError, AttributeError): + # There are incompatible backports of lzma that do not have the + # lzma.open attribute, so catch that as well as ImportError. + pass + + self._loaded = True + + def keys(self): + """ + Return the keys of currently supported file openers. + + Parameters + ---------- + None + + Returns + ------- + keys : list + The keys are None for uncompressed files and the file extension + strings (i.e. ``'.gz'``, ``'.xz'``) for supported compression + methods. + + """ + self._load() + return list(self._file_openers.keys()) + + def __getitem__(self, key): + self._load() + return self._file_openers[key] + +_file_openers = _FileOpeners() + +def open(path, mode='r', destpath=os.curdir, encoding=None, newline=None): + """ + Open `path` with `mode` and return the file object. + + If ``path`` is an URL, it will be downloaded, stored in the + `DataSource` `destpath` directory and opened from there. + + Parameters + ---------- + path : str + Local file path or URL to open. + mode : str, optional + Mode to open `path`. Mode 'r' for reading, 'w' for writing, 'a' to + append. Available modes depend on the type of object specified by + path. Default is 'r'. + destpath : str, optional + Path to the directory where the source file gets downloaded to for + use. If `destpath` is None, a temporary directory will be created. + The default path is the current directory. + encoding : {None, str}, optional + Open text file with given encoding. The default encoding will be + what `io.open` uses. + newline : {None, str}, optional + Newline to use when reading text file. + + Returns + ------- + out : file object + The opened file. + + Notes + ----- + This is a convenience function that instantiates a `DataSource` and + returns the file object from ``DataSource.open(path)``. + + """ + + ds = DataSource(destpath) + return ds.open(path, mode, encoding=encoding, newline=newline) + + +@set_module('numpy') +class DataSource: + """ + DataSource(destpath='.') + + A generic data source file (file, http, ftp, ...). + + DataSources can be local files or remote files/URLs. The files may + also be compressed or uncompressed. DataSource hides some of the + low-level details of downloading the file, allowing you to simply pass + in a valid file path (or URL) and obtain a file object. + + Parameters + ---------- + destpath : str or None, optional + Path to the directory where the source file gets downloaded to for + use. If `destpath` is None, a temporary directory will be created. + The default path is the current directory. + + Notes + ----- + URLs require a scheme string (``http://``) to be used, without it they + will fail:: + + >>> repos = np.DataSource() + >>> repos.exists('www.google.com/index.html') + False + >>> repos.exists('http://www.google.com/index.html') + True + + Temporary directories are deleted when the DataSource is deleted. + + Examples + -------- + :: + + >>> ds = np.DataSource('/home/guido') + >>> urlname = 'http://www.google.com/' + >>> gfile = ds.open('http://www.google.com/') + >>> ds.abspath(urlname) + '/home/guido/www.google.com/index.html' + + >>> ds = np.DataSource(None) # use with temporary file + >>> ds.open('/home/guido/foobar.txt') + + >>> ds.abspath('/home/guido/foobar.txt') + '/tmp/.../home/guido/foobar.txt' + + """ + + def __init__(self, destpath=os.curdir): + """Create a DataSource with a local path at destpath.""" + if destpath: + self._destpath = os.path.abspath(destpath) + self._istmpdest = False + else: + import tempfile # deferring import to improve startup time + self._destpath = tempfile.mkdtemp() + self._istmpdest = True + + def __del__(self): + # Remove temp directories + if hasattr(self, '_istmpdest') and self._istmpdest: + import shutil + + shutil.rmtree(self._destpath) + + def _iszip(self, filename): + """Test if the filename is a zip file by looking at the file extension. + + """ + fname, ext = os.path.splitext(filename) + return ext in _file_openers.keys() + + def _iswritemode(self, mode): + """Test if the given mode will open a file for writing.""" + + # Currently only used to test the bz2 files. + _writemodes = ("w", "+") + for c in mode: + if c in _writemodes: + return True + return False + + def _splitzipext(self, filename): + """Split zip extension from filename and return filename. + + Returns + ------- + base, zip_ext : {tuple} + + """ + + if self._iszip(filename): + return os.path.splitext(filename) + else: + return filename, None + + def _possible_names(self, filename): + """Return a tuple containing compressed filename variations.""" + names = [filename] + if not self._iszip(filename): + for zipext in _file_openers.keys(): + if zipext: + names.append(filename+zipext) + return names + + def _isurl(self, path): + """Test if path is a net location. Tests the scheme and netloc.""" + + # We do this here to reduce the 'import numpy' initial import time. + from urllib.parse import urlparse + + # BUG : URLs require a scheme string ('http://') to be used. + # www.google.com will fail. + # Should we prepend the scheme for those that don't have it and + # test that also? Similar to the way we append .gz and test for + # for compressed versions of files. + + scheme, netloc, upath, uparams, uquery, ufrag = urlparse(path) + return bool(scheme and netloc) + + def _cache(self, path): + """Cache the file specified by path. + + Creates a copy of the file in the datasource cache. + + """ + # We import these here because importing them is slow and + # a significant fraction of numpy's total import time. + import shutil + from urllib.request import urlopen + + upath = self.abspath(path) + + # ensure directory exists + if not os.path.exists(os.path.dirname(upath)): + os.makedirs(os.path.dirname(upath)) + + # TODO: Doesn't handle compressed files! + if self._isurl(path): + with urlopen(path) as openedurl: + with _open(upath, 'wb') as f: + shutil.copyfileobj(openedurl, f) + else: + shutil.copyfile(path, upath) + return upath + + def _findfile(self, path): + """Searches for ``path`` and returns full path if found. + + If path is an URL, _findfile will cache a local copy and return the + path to the cached file. If path is a local file, _findfile will + return a path to that local file. + + The search will include possible compressed versions of the file + and return the first occurrence found. + + """ + + # Build list of possible local file paths + if not self._isurl(path): + # Valid local paths + filelist = self._possible_names(path) + # Paths in self._destpath + filelist += self._possible_names(self.abspath(path)) + else: + # Cached URLs in self._destpath + filelist = self._possible_names(self.abspath(path)) + # Remote URLs + filelist = filelist + self._possible_names(path) + + for name in filelist: + if self.exists(name): + if self._isurl(name): + name = self._cache(name) + return name + return None + + def abspath(self, path): + """ + Return absolute path of file in the DataSource directory. + + If `path` is an URL, then `abspath` will return either the location + the file exists locally or the location it would exist when opened + using the `open` method. + + Parameters + ---------- + path : str + Can be a local file or a remote URL. + + Returns + ------- + out : str + Complete path, including the `DataSource` destination directory. + + Notes + ----- + The functionality is based on `os.path.abspath`. + + """ + # We do this here to reduce the 'import numpy' initial import time. + from urllib.parse import urlparse + + # TODO: This should be more robust. Handles case where path includes + # the destpath, but not other sub-paths. Failing case: + # path = /home/guido/datafile.txt + # destpath = /home/alex/ + # upath = self.abspath(path) + # upath == '/home/alex/home/guido/datafile.txt' + + # handle case where path includes self._destpath + splitpath = path.split(self._destpath, 2) + if len(splitpath) > 1: + path = splitpath[1] + scheme, netloc, upath, uparams, uquery, ufrag = urlparse(path) + netloc = self._sanitize_relative_path(netloc) + upath = self._sanitize_relative_path(upath) + return os.path.join(self._destpath, netloc, upath) + + def _sanitize_relative_path(self, path): + """Return a sanitised relative path for which + os.path.abspath(os.path.join(base, path)).startswith(base) + """ + last = None + path = os.path.normpath(path) + while path != last: + last = path + # Note: os.path.join treats '/' as os.sep on Windows + path = path.lstrip(os.sep).lstrip('/') + path = path.lstrip(os.pardir).lstrip('..') + drive, path = os.path.splitdrive(path) # for Windows + return path + + def exists(self, path): + """ + Test if path exists. + + Test if `path` exists as (and in this order): + + - a local file. + - a remote URL that has been downloaded and stored locally in the + `DataSource` directory. + - a remote URL that has not been downloaded, but is valid and + accessible. + + Parameters + ---------- + path : str + Can be a local file or a remote URL. + + Returns + ------- + out : bool + True if `path` exists. + + Notes + ----- + When `path` is an URL, `exists` will return True if it's either + stored locally in the `DataSource` directory, or is a valid remote + URL. `DataSource` does not discriminate between the two, the file + is accessible if it exists in either location. + + """ + + # First test for local path + if os.path.exists(path): + return True + + # We import this here because importing urllib is slow and + # a significant fraction of numpy's total import time. + from urllib.request import urlopen + from urllib.error import URLError + + # Test cached url + upath = self.abspath(path) + if os.path.exists(upath): + return True + + # Test remote url + if self._isurl(path): + try: + netfile = urlopen(path) + netfile.close() + del(netfile) + return True + except URLError: + return False + return False + + def open(self, path, mode='r', encoding=None, newline=None): + """ + Open and return file-like object. + + If `path` is an URL, it will be downloaded, stored in the + `DataSource` directory and opened from there. + + Parameters + ---------- + path : str + Local file path or URL to open. + mode : {'r', 'w', 'a'}, optional + Mode to open `path`. Mode 'r' for reading, 'w' for writing, + 'a' to append. Available modes depend on the type of object + specified by `path`. Default is 'r'. + encoding : {None, str}, optional + Open text file with given encoding. The default encoding will be + what `io.open` uses. + newline : {None, str}, optional + Newline to use when reading text file. + + Returns + ------- + out : file object + File object. + + """ + + # TODO: There is no support for opening a file for writing which + # doesn't exist yet (creating a file). Should there be? + + # TODO: Add a ``subdir`` parameter for specifying the subdirectory + # used to store URLs in self._destpath. + + if self._isurl(path) and self._iswritemode(mode): + raise ValueError("URLs are not writeable") + + # NOTE: _findfile will fail on a new file opened for writing. + found = self._findfile(path) + if found: + _fname, ext = self._splitzipext(found) + if ext == 'bz2': + mode.replace("+", "") + return _file_openers[ext](found, mode=mode, + encoding=encoding, newline=newline) + else: + raise FileNotFoundError(f"{path} not found.") + + +class Repository (DataSource): + """ + Repository(baseurl, destpath='.') + + A data repository where multiple DataSource's share a base + URL/directory. + + `Repository` extends `DataSource` by prepending a base URL (or + directory) to all the files it handles. Use `Repository` when you will + be working with multiple files from one base URL. Initialize + `Repository` with the base URL, then refer to each file by its filename + only. + + Parameters + ---------- + baseurl : str + Path to the local directory or remote location that contains the + data files. + destpath : str or None, optional + Path to the directory where the source file gets downloaded to for + use. If `destpath` is None, a temporary directory will be created. + The default path is the current directory. + + Examples + -------- + To analyze all files in the repository, do something like this + (note: this is not self-contained code):: + + >>> repos = np.lib._datasource.Repository('/home/user/data/dir/') + >>> for filename in filelist: + ... fp = repos.open(filename) + ... fp.analyze() + ... fp.close() + + Similarly you could use a URL for a repository:: + + >>> repos = np.lib._datasource.Repository('http://www.xyz.edu/data') + + """ + + def __init__(self, baseurl, destpath=os.curdir): + """Create a Repository with a shared url or directory of baseurl.""" + DataSource.__init__(self, destpath=destpath) + self._baseurl = baseurl + + def __del__(self): + DataSource.__del__(self) + + def _fullpath(self, path): + """Return complete path for path. Prepends baseurl if necessary.""" + splitpath = path.split(self._baseurl, 2) + if len(splitpath) == 1: + result = os.path.join(self._baseurl, path) + else: + result = path # path contains baseurl already + return result + + def _findfile(self, path): + """Extend DataSource method to prepend baseurl to ``path``.""" + return DataSource._findfile(self, self._fullpath(path)) + + def abspath(self, path): + """ + Return absolute path of file in the Repository directory. + + If `path` is an URL, then `abspath` will return either the location + the file exists locally or the location it would exist when opened + using the `open` method. + + Parameters + ---------- + path : str + Can be a local file or a remote URL. This may, but does not + have to, include the `baseurl` with which the `Repository` was + initialized. + + Returns + ------- + out : str + Complete path, including the `DataSource` destination directory. + + """ + return DataSource.abspath(self, self._fullpath(path)) + + def exists(self, path): + """ + Test if path exists prepending Repository base URL to path. + + Test if `path` exists as (and in this order): + + - a local file. + - a remote URL that has been downloaded and stored locally in the + `DataSource` directory. + - a remote URL that has not been downloaded, but is valid and + accessible. + + Parameters + ---------- + path : str + Can be a local file or a remote URL. This may, but does not + have to, include the `baseurl` with which the `Repository` was + initialized. + + Returns + ------- + out : bool + True if `path` exists. + + Notes + ----- + When `path` is an URL, `exists` will return True if it's either + stored locally in the `DataSource` directory, or is a valid remote + URL. `DataSource` does not discriminate between the two, the file + is accessible if it exists in either location. + + """ + return DataSource.exists(self, self._fullpath(path)) + + def open(self, path, mode='r', encoding=None, newline=None): + """ + Open and return file-like object prepending Repository base URL. + + If `path` is an URL, it will be downloaded, stored in the + DataSource directory and opened from there. + + Parameters + ---------- + path : str + Local file path or URL to open. This may, but does not have to, + include the `baseurl` with which the `Repository` was + initialized. + mode : {'r', 'w', 'a'}, optional + Mode to open `path`. Mode 'r' for reading, 'w' for writing, + 'a' to append. Available modes depend on the type of object + specified by `path`. Default is 'r'. + encoding : {None, str}, optional + Open text file with given encoding. The default encoding will be + what `io.open` uses. + newline : {None, str}, optional + Newline to use when reading text file. + + Returns + ------- + out : file object + File object. + + """ + return DataSource.open(self, self._fullpath(path), mode, + encoding=encoding, newline=newline) + + def listdir(self): + """ + List files in the source Repository. + + Returns + ------- + files : list of str + List of file names (not containing a directory part). + + Notes + ----- + Does not currently work for remote repositories. + + """ + if self._isurl(self._baseurl): + raise NotImplementedError( + "Directory listing of URLs, not supported yet.") + else: + return os.listdir(self._baseurl) diff --git a/lib/python3.12/site-packages/numpy/lib/_iotools.py b/lib/python3.12/site-packages/numpy/lib/_iotools.py new file mode 100644 index 0000000000000000000000000000000000000000..534d1b3eea636d4f68151531945ea9132d304872 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/_iotools.py @@ -0,0 +1,897 @@ +"""A collection of functions designed to help I/O with ascii files. + +""" +__docformat__ = "restructuredtext en" + +import numpy as np +import numpy.core.numeric as nx +from numpy.compat import asbytes, asunicode + + +def _decode_line(line, encoding=None): + """Decode bytes from binary input streams. + + Defaults to decoding from 'latin1'. That differs from the behavior of + np.compat.asunicode that decodes from 'ascii'. + + Parameters + ---------- + line : str or bytes + Line to be decoded. + encoding : str + Encoding used to decode `line`. + + Returns + ------- + decoded_line : str + + """ + if type(line) is bytes: + if encoding is None: + encoding = "latin1" + line = line.decode(encoding) + + return line + + +def _is_string_like(obj): + """ + Check whether obj behaves like a string. + """ + try: + obj + '' + except (TypeError, ValueError): + return False + return True + + +def _is_bytes_like(obj): + """ + Check whether obj behaves like a bytes object. + """ + try: + obj + b'' + except (TypeError, ValueError): + return False + return True + + +def has_nested_fields(ndtype): + """ + Returns whether one or several fields of a dtype are nested. + + Parameters + ---------- + ndtype : dtype + Data-type of a structured array. + + Raises + ------ + AttributeError + If `ndtype` does not have a `names` attribute. + + Examples + -------- + >>> dt = np.dtype([('name', 'S4'), ('x', float), ('y', float)]) + >>> np.lib._iotools.has_nested_fields(dt) + False + + """ + for name in ndtype.names or (): + if ndtype[name].names is not None: + return True + return False + + +def flatten_dtype(ndtype, flatten_base=False): + """ + Unpack a structured data-type by collapsing nested fields and/or fields + with a shape. + + Note that the field names are lost. + + Parameters + ---------- + ndtype : dtype + The datatype to collapse + flatten_base : bool, optional + If True, transform a field with a shape into several fields. Default is + False. + + Examples + -------- + >>> dt = np.dtype([('name', 'S4'), ('x', float), ('y', float), + ... ('block', int, (2, 3))]) + >>> np.lib._iotools.flatten_dtype(dt) + [dtype('S4'), dtype('float64'), dtype('float64'), dtype('int64')] + >>> np.lib._iotools.flatten_dtype(dt, flatten_base=True) + [dtype('S4'), + dtype('float64'), + dtype('float64'), + dtype('int64'), + dtype('int64'), + dtype('int64'), + dtype('int64'), + dtype('int64'), + dtype('int64')] + + """ + names = ndtype.names + if names is None: + if flatten_base: + return [ndtype.base] * int(np.prod(ndtype.shape)) + return [ndtype.base] + else: + types = [] + for field in names: + info = ndtype.fields[field] + flat_dt = flatten_dtype(info[0], flatten_base) + types.extend(flat_dt) + return types + + +class LineSplitter: + """ + Object to split a string at a given delimiter or at given places. + + Parameters + ---------- + delimiter : str, int, or sequence of ints, optional + If a string, character used to delimit consecutive fields. + If an integer or a sequence of integers, width(s) of each field. + comments : str, optional + Character used to mark the beginning of a comment. Default is '#'. + autostrip : bool, optional + Whether to strip each individual field. Default is True. + + """ + + def autostrip(self, method): + """ + Wrapper to strip each member of the output of `method`. + + Parameters + ---------- + method : function + Function that takes a single argument and returns a sequence of + strings. + + Returns + ------- + wrapped : function + The result of wrapping `method`. `wrapped` takes a single input + argument and returns a list of strings that are stripped of + white-space. + + """ + return lambda input: [_.strip() for _ in method(input)] + + def __init__(self, delimiter=None, comments='#', autostrip=True, + encoding=None): + delimiter = _decode_line(delimiter) + comments = _decode_line(comments) + + self.comments = comments + + # Delimiter is a character + if (delimiter is None) or isinstance(delimiter, str): + delimiter = delimiter or None + _handyman = self._delimited_splitter + # Delimiter is a list of field widths + elif hasattr(delimiter, '__iter__'): + _handyman = self._variablewidth_splitter + idx = np.cumsum([0] + list(delimiter)) + delimiter = [slice(i, j) for (i, j) in zip(idx[:-1], idx[1:])] + # Delimiter is a single integer + elif int(delimiter): + (_handyman, delimiter) = ( + self._fixedwidth_splitter, int(delimiter)) + else: + (_handyman, delimiter) = (self._delimited_splitter, None) + self.delimiter = delimiter + if autostrip: + self._handyman = self.autostrip(_handyman) + else: + self._handyman = _handyman + self.encoding = encoding + + def _delimited_splitter(self, line): + """Chop off comments, strip, and split at delimiter. """ + if self.comments is not None: + line = line.split(self.comments)[0] + line = line.strip(" \r\n") + if not line: + return [] + return line.split(self.delimiter) + + def _fixedwidth_splitter(self, line): + if self.comments is not None: + line = line.split(self.comments)[0] + line = line.strip("\r\n") + if not line: + return [] + fixed = self.delimiter + slices = [slice(i, i + fixed) for i in range(0, len(line), fixed)] + return [line[s] for s in slices] + + def _variablewidth_splitter(self, line): + if self.comments is not None: + line = line.split(self.comments)[0] + if not line: + return [] + slices = self.delimiter + return [line[s] for s in slices] + + def __call__(self, line): + return self._handyman(_decode_line(line, self.encoding)) + + +class NameValidator: + """ + Object to validate a list of strings to use as field names. + + The strings are stripped of any non alphanumeric character, and spaces + are replaced by '_'. During instantiation, the user can define a list + of names to exclude, as well as a list of invalid characters. Names in + the exclusion list are appended a '_' character. + + Once an instance has been created, it can be called with a list of + names, and a list of valid names will be created. The `__call__` + method accepts an optional keyword "default" that sets the default name + in case of ambiguity. By default this is 'f', so that names will + default to `f0`, `f1`, etc. + + Parameters + ---------- + excludelist : sequence, optional + A list of names to exclude. This list is appended to the default + list ['return', 'file', 'print']. Excluded names are appended an + underscore: for example, `file` becomes `file_` if supplied. + deletechars : str, optional + A string combining invalid characters that must be deleted from the + names. + case_sensitive : {True, False, 'upper', 'lower'}, optional + * If True, field names are case-sensitive. + * If False or 'upper', field names are converted to upper case. + * If 'lower', field names are converted to lower case. + + The default value is True. + replace_space : '_', optional + Character(s) used in replacement of white spaces. + + Notes + ----- + Calling an instance of `NameValidator` is the same as calling its + method `validate`. + + Examples + -------- + >>> validator = np.lib._iotools.NameValidator() + >>> validator(['file', 'field2', 'with space', 'CaSe']) + ('file_', 'field2', 'with_space', 'CaSe') + + >>> validator = np.lib._iotools.NameValidator(excludelist=['excl'], + ... deletechars='q', + ... case_sensitive=False) + >>> validator(['excl', 'field2', 'no_q', 'with space', 'CaSe']) + ('EXCL', 'FIELD2', 'NO_Q', 'WITH_SPACE', 'CASE') + + """ + + defaultexcludelist = ['return', 'file', 'print'] + defaultdeletechars = set(r"""~!@#$%^&*()-=+~\|]}[{';: /?.>,<""") + + def __init__(self, excludelist=None, deletechars=None, + case_sensitive=None, replace_space='_'): + # Process the exclusion list .. + if excludelist is None: + excludelist = [] + excludelist.extend(self.defaultexcludelist) + self.excludelist = excludelist + # Process the list of characters to delete + if deletechars is None: + delete = self.defaultdeletechars + else: + delete = set(deletechars) + delete.add('"') + self.deletechars = delete + # Process the case option ..... + if (case_sensitive is None) or (case_sensitive is True): + self.case_converter = lambda x: x + elif (case_sensitive is False) or case_sensitive.startswith('u'): + self.case_converter = lambda x: x.upper() + elif case_sensitive.startswith('l'): + self.case_converter = lambda x: x.lower() + else: + msg = 'unrecognized case_sensitive value %s.' % case_sensitive + raise ValueError(msg) + + self.replace_space = replace_space + + def validate(self, names, defaultfmt="f%i", nbfields=None): + """ + Validate a list of strings as field names for a structured array. + + Parameters + ---------- + names : sequence of str + Strings to be validated. + defaultfmt : str, optional + Default format string, used if validating a given string + reduces its length to zero. + nbfields : integer, optional + Final number of validated names, used to expand or shrink the + initial list of names. + + Returns + ------- + validatednames : list of str + The list of validated field names. + + Notes + ----- + A `NameValidator` instance can be called directly, which is the + same as calling `validate`. For examples, see `NameValidator`. + + """ + # Initial checks .............. + if (names is None): + if (nbfields is None): + return None + names = [] + if isinstance(names, str): + names = [names, ] + if nbfields is not None: + nbnames = len(names) + if (nbnames < nbfields): + names = list(names) + [''] * (nbfields - nbnames) + elif (nbnames > nbfields): + names = names[:nbfields] + # Set some shortcuts ........... + deletechars = self.deletechars + excludelist = self.excludelist + case_converter = self.case_converter + replace_space = self.replace_space + # Initializes some variables ... + validatednames = [] + seen = dict() + nbempty = 0 + + for item in names: + item = case_converter(item).strip() + if replace_space: + item = item.replace(' ', replace_space) + item = ''.join([c for c in item if c not in deletechars]) + if item == '': + item = defaultfmt % nbempty + while item in names: + nbempty += 1 + item = defaultfmt % nbempty + nbempty += 1 + elif item in excludelist: + item += '_' + cnt = seen.get(item, 0) + if cnt > 0: + validatednames.append(item + '_%d' % cnt) + else: + validatednames.append(item) + seen[item] = cnt + 1 + return tuple(validatednames) + + def __call__(self, names, defaultfmt="f%i", nbfields=None): + return self.validate(names, defaultfmt=defaultfmt, nbfields=nbfields) + + +def str2bool(value): + """ + Tries to transform a string supposed to represent a boolean to a boolean. + + Parameters + ---------- + value : str + The string that is transformed to a boolean. + + Returns + ------- + boolval : bool + The boolean representation of `value`. + + Raises + ------ + ValueError + If the string is not 'True' or 'False' (case independent) + + Examples + -------- + >>> np.lib._iotools.str2bool('TRUE') + True + >>> np.lib._iotools.str2bool('false') + False + + """ + value = value.upper() + if value == 'TRUE': + return True + elif value == 'FALSE': + return False + else: + raise ValueError("Invalid boolean") + + +class ConverterError(Exception): + """ + Exception raised when an error occurs in a converter for string values. + + """ + pass + + +class ConverterLockError(ConverterError): + """ + Exception raised when an attempt is made to upgrade a locked converter. + + """ + pass + + +class ConversionWarning(UserWarning): + """ + Warning issued when a string converter has a problem. + + Notes + ----- + In `genfromtxt` a `ConversionWarning` is issued if raising exceptions + is explicitly suppressed with the "invalid_raise" keyword. + + """ + pass + + +class StringConverter: + """ + Factory class for function transforming a string into another object + (int, float). + + After initialization, an instance can be called to transform a string + into another object. If the string is recognized as representing a + missing value, a default value is returned. + + Attributes + ---------- + func : function + Function used for the conversion. + default : any + Default value to return when the input corresponds to a missing + value. + type : type + Type of the output. + _status : int + Integer representing the order of the conversion. + _mapper : sequence of tuples + Sequence of tuples (dtype, function, default value) to evaluate in + order. + _locked : bool + Holds `locked` parameter. + + Parameters + ---------- + dtype_or_func : {None, dtype, function}, optional + If a `dtype`, specifies the input data type, used to define a basic + function and a default value for missing data. For example, when + `dtype` is float, the `func` attribute is set to `float` and the + default value to `np.nan`. If a function, this function is used to + convert a string to another object. In this case, it is recommended + to give an associated default value as input. + default : any, optional + Value to return by default, that is, when the string to be + converted is flagged as missing. If not given, `StringConverter` + tries to supply a reasonable default value. + missing_values : {None, sequence of str}, optional + ``None`` or sequence of strings indicating a missing value. If ``None`` + then missing values are indicated by empty entries. The default is + ``None``. + locked : bool, optional + Whether the StringConverter should be locked to prevent automatic + upgrade or not. Default is False. + + """ + _mapper = [(nx.bool_, str2bool, False), + (nx.int_, int, -1),] + + # On 32-bit systems, we need to make sure that we explicitly include + # nx.int64 since ns.int_ is nx.int32. + if nx.dtype(nx.int_).itemsize < nx.dtype(nx.int64).itemsize: + _mapper.append((nx.int64, int, -1)) + + _mapper.extend([(nx.float64, float, nx.nan), + (nx.complex128, complex, nx.nan + 0j), + (nx.longdouble, nx.longdouble, nx.nan), + # If a non-default dtype is passed, fall back to generic + # ones (should only be used for the converter) + (nx.integer, int, -1), + (nx.floating, float, nx.nan), + (nx.complexfloating, complex, nx.nan + 0j), + # Last, try with the string types (must be last, because + # `_mapper[-1]` is used as default in some cases) + (nx.str_, asunicode, '???'), + (nx.bytes_, asbytes, '???'), + ]) + + @classmethod + def _getdtype(cls, val): + """Returns the dtype of the input variable.""" + return np.array(val).dtype + + @classmethod + def _getsubdtype(cls, val): + """Returns the type of the dtype of the input variable.""" + return np.array(val).dtype.type + + @classmethod + def _dtypeortype(cls, dtype): + """Returns dtype for datetime64 and type of dtype otherwise.""" + + # This is a bit annoying. We want to return the "general" type in most + # cases (ie. "string" rather than "S10"), but we want to return the + # specific type for datetime64 (ie. "datetime64[us]" rather than + # "datetime64"). + if dtype.type == np.datetime64: + return dtype + return dtype.type + + @classmethod + def upgrade_mapper(cls, func, default=None): + """ + Upgrade the mapper of a StringConverter by adding a new function and + its corresponding default. + + The input function (or sequence of functions) and its associated + default value (if any) is inserted in penultimate position of the + mapper. The corresponding type is estimated from the dtype of the + default value. + + Parameters + ---------- + func : var + Function, or sequence of functions + + Examples + -------- + >>> import dateutil.parser + >>> import datetime + >>> dateparser = dateutil.parser.parse + >>> defaultdate = datetime.date(2000, 1, 1) + >>> StringConverter.upgrade_mapper(dateparser, default=defaultdate) + """ + # Func is a single functions + if hasattr(func, '__call__'): + cls._mapper.insert(-1, (cls._getsubdtype(default), func, default)) + return + elif hasattr(func, '__iter__'): + if isinstance(func[0], (tuple, list)): + for _ in func: + cls._mapper.insert(-1, _) + return + if default is None: + default = [None] * len(func) + else: + default = list(default) + default.append([None] * (len(func) - len(default))) + for fct, dft in zip(func, default): + cls._mapper.insert(-1, (cls._getsubdtype(dft), fct, dft)) + + @classmethod + def _find_map_entry(cls, dtype): + # if a converter for the specific dtype is available use that + for i, (deftype, func, default_def) in enumerate(cls._mapper): + if dtype.type == deftype: + return i, (deftype, func, default_def) + + # otherwise find an inexact match + for i, (deftype, func, default_def) in enumerate(cls._mapper): + if np.issubdtype(dtype.type, deftype): + return i, (deftype, func, default_def) + + raise LookupError + + def __init__(self, dtype_or_func=None, default=None, missing_values=None, + locked=False): + # Defines a lock for upgrade + self._locked = bool(locked) + # No input dtype: minimal initialization + if dtype_or_func is None: + self.func = str2bool + self._status = 0 + self.default = default or False + dtype = np.dtype('bool') + else: + # Is the input a np.dtype ? + try: + self.func = None + dtype = np.dtype(dtype_or_func) + except TypeError: + # dtype_or_func must be a function, then + if not hasattr(dtype_or_func, '__call__'): + errmsg = ("The input argument `dtype` is neither a" + " function nor a dtype (got '%s' instead)") + raise TypeError(errmsg % type(dtype_or_func)) + # Set the function + self.func = dtype_or_func + # If we don't have a default, try to guess it or set it to + # None + if default is None: + try: + default = self.func('0') + except ValueError: + default = None + dtype = self._getdtype(default) + + # find the best match in our mapper + try: + self._status, (_, func, default_def) = self._find_map_entry(dtype) + except LookupError: + # no match + self.default = default + _, func, _ = self._mapper[-1] + self._status = 0 + else: + # use the found default only if we did not already have one + if default is None: + self.default = default_def + else: + self.default = default + + # If the input was a dtype, set the function to the last we saw + if self.func is None: + self.func = func + + # If the status is 1 (int), change the function to + # something more robust. + if self.func == self._mapper[1][1]: + if issubclass(dtype.type, np.uint64): + self.func = np.uint64 + elif issubclass(dtype.type, np.int64): + self.func = np.int64 + else: + self.func = lambda x: int(float(x)) + # Store the list of strings corresponding to missing values. + if missing_values is None: + self.missing_values = {''} + else: + if isinstance(missing_values, str): + missing_values = missing_values.split(",") + self.missing_values = set(list(missing_values) + ['']) + + self._callingfunction = self._strict_call + self.type = self._dtypeortype(dtype) + self._checked = False + self._initial_default = default + + def _loose_call(self, value): + try: + return self.func(value) + except ValueError: + return self.default + + def _strict_call(self, value): + try: + + # We check if we can convert the value using the current function + new_value = self.func(value) + + # In addition to having to check whether func can convert the + # value, we also have to make sure that we don't get overflow + # errors for integers. + if self.func is int: + try: + np.array(value, dtype=self.type) + except OverflowError: + raise ValueError + + # We're still here so we can now return the new value + return new_value + + except ValueError: + if value.strip() in self.missing_values: + if not self._status: + self._checked = False + return self.default + raise ValueError("Cannot convert string '%s'" % value) + + def __call__(self, value): + return self._callingfunction(value) + + def _do_upgrade(self): + # Raise an exception if we locked the converter... + if self._locked: + errmsg = "Converter is locked and cannot be upgraded" + raise ConverterLockError(errmsg) + _statusmax = len(self._mapper) + # Complains if we try to upgrade by the maximum + _status = self._status + if _status == _statusmax: + errmsg = "Could not find a valid conversion function" + raise ConverterError(errmsg) + elif _status < _statusmax - 1: + _status += 1 + self.type, self.func, default = self._mapper[_status] + self._status = _status + if self._initial_default is not None: + self.default = self._initial_default + else: + self.default = default + + def upgrade(self, value): + """ + Find the best converter for a given string, and return the result. + + The supplied string `value` is converted by testing different + converters in order. First the `func` method of the + `StringConverter` instance is tried, if this fails other available + converters are tried. The order in which these other converters + are tried is determined by the `_status` attribute of the instance. + + Parameters + ---------- + value : str + The string to convert. + + Returns + ------- + out : any + The result of converting `value` with the appropriate converter. + + """ + self._checked = True + try: + return self._strict_call(value) + except ValueError: + self._do_upgrade() + return self.upgrade(value) + + def iterupgrade(self, value): + self._checked = True + if not hasattr(value, '__iter__'): + value = (value,) + _strict_call = self._strict_call + try: + for _m in value: + _strict_call(_m) + except ValueError: + self._do_upgrade() + self.iterupgrade(value) + + def update(self, func, default=None, testing_value=None, + missing_values='', locked=False): + """ + Set StringConverter attributes directly. + + Parameters + ---------- + func : function + Conversion function. + default : any, optional + Value to return by default, that is, when the string to be + converted is flagged as missing. If not given, + `StringConverter` tries to supply a reasonable default value. + testing_value : str, optional + A string representing a standard input value of the converter. + This string is used to help defining a reasonable default + value. + missing_values : {sequence of str, None}, optional + Sequence of strings indicating a missing value. If ``None``, then + the existing `missing_values` are cleared. The default is `''`. + locked : bool, optional + Whether the StringConverter should be locked to prevent + automatic upgrade or not. Default is False. + + Notes + ----- + `update` takes the same parameters as the constructor of + `StringConverter`, except that `func` does not accept a `dtype` + whereas `dtype_or_func` in the constructor does. + + """ + self.func = func + self._locked = locked + + # Don't reset the default to None if we can avoid it + if default is not None: + self.default = default + self.type = self._dtypeortype(self._getdtype(default)) + else: + try: + tester = func(testing_value or '1') + except (TypeError, ValueError): + tester = None + self.type = self._dtypeortype(self._getdtype(tester)) + + # Add the missing values to the existing set or clear it. + if missing_values is None: + # Clear all missing values even though the ctor initializes it to + # set(['']) when the argument is None. + self.missing_values = set() + else: + if not np.iterable(missing_values): + missing_values = [missing_values] + if not all(isinstance(v, str) for v in missing_values): + raise TypeError("missing_values must be strings or unicode") + self.missing_values.update(missing_values) + + +def easy_dtype(ndtype, names=None, defaultfmt="f%i", **validationargs): + """ + Convenience function to create a `np.dtype` object. + + The function processes the input `dtype` and matches it with the given + names. + + Parameters + ---------- + ndtype : var + Definition of the dtype. Can be any string or dictionary recognized + by the `np.dtype` function, or a sequence of types. + names : str or sequence, optional + Sequence of strings to use as field names for a structured dtype. + For convenience, `names` can be a string of a comma-separated list + of names. + defaultfmt : str, optional + Format string used to define missing names, such as ``"f%i"`` + (default) or ``"fields_%02i"``. + validationargs : optional + A series of optional arguments used to initialize a + `NameValidator`. + + Examples + -------- + >>> np.lib._iotools.easy_dtype(float) + dtype('float64') + >>> np.lib._iotools.easy_dtype("i4, f8") + dtype([('f0', '>> np.lib._iotools.easy_dtype("i4, f8", defaultfmt="field_%03i") + dtype([('field_000', '>> np.lib._iotools.easy_dtype((int, float, float), names="a,b,c") + dtype([('a', '>> np.lib._iotools.easy_dtype(float, names="a,b,c") + dtype([('a', ' 9 in principle): + + - Released version: '1.8.0', '1.8.1', etc. + - Alpha: '1.8.0a1', '1.8.0a2', etc. + - Beta: '1.8.0b1', '1.8.0b2', etc. + - Release candidates: '1.8.0rc1', '1.8.0rc2', etc. + - Development versions: '1.8.0.dev-f1234afa' (git commit hash appended) + - Development versions after a1: '1.8.0a1.dev-f1234afa', + '1.8.0b2.dev-f1234afa', + '1.8.1rc1.dev-f1234afa', etc. + - Development versions (no git hash available): '1.8.0.dev-Unknown' + + Comparing needs to be done against a valid version string or other + `NumpyVersion` instance. Note that all development versions of the same + (pre-)release compare equal. + + .. versionadded:: 1.9.0 + + Parameters + ---------- + vstring : str + NumPy version string (``np.__version__``). + + Examples + -------- + >>> from numpy.lib import NumpyVersion + >>> if NumpyVersion(np.__version__) < '1.7.0': + ... print('skip') + >>> # skip + + >>> NumpyVersion('1.7') # raises ValueError, add ".0" + Traceback (most recent call last): + ... + ValueError: Not a valid numpy version string + + """ + + def __init__(self, vstring): + self.vstring = vstring + ver_main = re.match(r'\d+\.\d+\.\d+', vstring) + if not ver_main: + raise ValueError("Not a valid numpy version string") + + self.version = ver_main.group() + self.major, self.minor, self.bugfix = [int(x) for x in + self.version.split('.')] + if len(vstring) == ver_main.end(): + self.pre_release = 'final' + else: + alpha = re.match(r'a\d', vstring[ver_main.end():]) + beta = re.match(r'b\d', vstring[ver_main.end():]) + rc = re.match(r'rc\d', vstring[ver_main.end():]) + pre_rel = [m for m in [alpha, beta, rc] if m is not None] + if pre_rel: + self.pre_release = pre_rel[0].group() + else: + self.pre_release = '' + + self.is_devversion = bool(re.search(r'.dev', vstring)) + + def _compare_version(self, other): + """Compare major.minor.bugfix""" + if self.major == other.major: + if self.minor == other.minor: + if self.bugfix == other.bugfix: + vercmp = 0 + elif self.bugfix > other.bugfix: + vercmp = 1 + else: + vercmp = -1 + elif self.minor > other.minor: + vercmp = 1 + else: + vercmp = -1 + elif self.major > other.major: + vercmp = 1 + else: + vercmp = -1 + + return vercmp + + def _compare_pre_release(self, other): + """Compare alpha/beta/rc/final.""" + if self.pre_release == other.pre_release: + vercmp = 0 + elif self.pre_release == 'final': + vercmp = 1 + elif other.pre_release == 'final': + vercmp = -1 + elif self.pre_release > other.pre_release: + vercmp = 1 + else: + vercmp = -1 + + return vercmp + + def _compare(self, other): + if not isinstance(other, (str, NumpyVersion)): + raise ValueError("Invalid object to compare with NumpyVersion.") + + if isinstance(other, str): + other = NumpyVersion(other) + + vercmp = self._compare_version(other) + if vercmp == 0: + # Same x.y.z version, check for alpha/beta/rc + vercmp = self._compare_pre_release(other) + if vercmp == 0: + # Same version and same pre-release, check if dev version + if self.is_devversion is other.is_devversion: + vercmp = 0 + elif self.is_devversion: + vercmp = -1 + else: + vercmp = 1 + + return vercmp + + def __lt__(self, other): + return self._compare(other) < 0 + + def __le__(self, other): + return self._compare(other) <= 0 + + def __eq__(self, other): + return self._compare(other) == 0 + + def __ne__(self, other): + return self._compare(other) != 0 + + def __gt__(self, other): + return self._compare(other) > 0 + + def __ge__(self, other): + return self._compare(other) >= 0 + + def __repr__(self): + return "NumpyVersion(%s)" % self.vstring diff --git a/lib/python3.12/site-packages/numpy/lib/_version.pyi b/lib/python3.12/site-packages/numpy/lib/_version.pyi new file mode 100644 index 0000000000000000000000000000000000000000..1c82c99b686e2be8e34a1b6bc45dacce15532082 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/_version.pyi @@ -0,0 +1,17 @@ +__all__: list[str] + +class NumpyVersion: + vstring: str + version: str + major: int + minor: int + bugfix: int + pre_release: str + is_devversion: bool + def __init__(self, vstring: str) -> None: ... + def __lt__(self, other: str | NumpyVersion) -> bool: ... + def __le__(self, other: str | NumpyVersion) -> bool: ... + def __eq__(self, other: str | NumpyVersion) -> bool: ... # type: ignore[override] + def __ne__(self, other: str | NumpyVersion) -> bool: ... # type: ignore[override] + def __gt__(self, other: str | NumpyVersion) -> bool: ... + def __ge__(self, other: str | NumpyVersion) -> bool: ... diff --git a/lib/python3.12/site-packages/numpy/lib/arraypad.py b/lib/python3.12/site-packages/numpy/lib/arraypad.py new file mode 100644 index 0000000000000000000000000000000000000000..b06a645d836c5e0c4e445a138ca0af905236932f --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/arraypad.py @@ -0,0 +1,882 @@ +""" +The arraypad module contains a group of functions to pad values onto the edges +of an n-dimensional array. + +""" +import numpy as np +from numpy.core.overrides import array_function_dispatch +from numpy.lib.index_tricks import ndindex + + +__all__ = ['pad'] + + +############################################################################### +# Private utility functions. + + +def _round_if_needed(arr, dtype): + """ + Rounds arr inplace if destination dtype is integer. + + Parameters + ---------- + arr : ndarray + Input array. + dtype : dtype + The dtype of the destination array. + """ + if np.issubdtype(dtype, np.integer): + arr.round(out=arr) + + +def _slice_at_axis(sl, axis): + """ + Construct tuple of slices to slice an array in the given dimension. + + Parameters + ---------- + sl : slice + The slice for the given dimension. + axis : int + The axis to which `sl` is applied. All other dimensions are left + "unsliced". + + Returns + ------- + sl : tuple of slices + A tuple with slices matching `shape` in length. + + Examples + -------- + >>> _slice_at_axis(slice(None, 3, -1), 1) + (slice(None, None, None), slice(None, 3, -1), (...,)) + """ + return (slice(None),) * axis + (sl,) + (...,) + + +def _view_roi(array, original_area_slice, axis): + """ + Get a view of the current region of interest during iterative padding. + + When padding multiple dimensions iteratively corner values are + unnecessarily overwritten multiple times. This function reduces the + working area for the first dimensions so that corners are excluded. + + Parameters + ---------- + array : ndarray + The array with the region of interest. + original_area_slice : tuple of slices + Denotes the area with original values of the unpadded array. + axis : int + The currently padded dimension assuming that `axis` is padded before + `axis` + 1. + + Returns + ------- + roi : ndarray + The region of interest of the original `array`. + """ + axis += 1 + sl = (slice(None),) * axis + original_area_slice[axis:] + return array[sl] + + +def _pad_simple(array, pad_width, fill_value=None): + """ + Pad array on all sides with either a single value or undefined values. + + Parameters + ---------- + array : ndarray + Array to grow. + pad_width : sequence of tuple[int, int] + Pad width on both sides for each dimension in `arr`. + fill_value : scalar, optional + If provided the padded area is filled with this value, otherwise + the pad area left undefined. + + Returns + ------- + padded : ndarray + The padded array with the same dtype as`array`. Its order will default + to C-style if `array` is not F-contiguous. + original_area_slice : tuple + A tuple of slices pointing to the area of the original array. + """ + # Allocate grown array + new_shape = tuple( + left + size + right + for size, (left, right) in zip(array.shape, pad_width) + ) + order = 'F' if array.flags.fnc else 'C' # Fortran and not also C-order + padded = np.empty(new_shape, dtype=array.dtype, order=order) + + if fill_value is not None: + padded.fill(fill_value) + + # Copy old array into correct space + original_area_slice = tuple( + slice(left, left + size) + for size, (left, right) in zip(array.shape, pad_width) + ) + padded[original_area_slice] = array + + return padded, original_area_slice + + +def _set_pad_area(padded, axis, width_pair, value_pair): + """ + Set empty-padded area in given dimension. + + Parameters + ---------- + padded : ndarray + Array with the pad area which is modified inplace. + axis : int + Dimension with the pad area to set. + width_pair : (int, int) + Pair of widths that mark the pad area on both sides in the given + dimension. + value_pair : tuple of scalars or ndarrays + Values inserted into the pad area on each side. It must match or be + broadcastable to the shape of `arr`. + """ + left_slice = _slice_at_axis(slice(None, width_pair[0]), axis) + padded[left_slice] = value_pair[0] + + right_slice = _slice_at_axis( + slice(padded.shape[axis] - width_pair[1], None), axis) + padded[right_slice] = value_pair[1] + + +def _get_edges(padded, axis, width_pair): + """ + Retrieve edge values from empty-padded array in given dimension. + + Parameters + ---------- + padded : ndarray + Empty-padded array. + axis : int + Dimension in which the edges are considered. + width_pair : (int, int) + Pair of widths that mark the pad area on both sides in the given + dimension. + + Returns + ------- + left_edge, right_edge : ndarray + Edge values of the valid area in `padded` in the given dimension. Its + shape will always match `padded` except for the dimension given by + `axis` which will have a length of 1. + """ + left_index = width_pair[0] + left_slice = _slice_at_axis(slice(left_index, left_index + 1), axis) + left_edge = padded[left_slice] + + right_index = padded.shape[axis] - width_pair[1] + right_slice = _slice_at_axis(slice(right_index - 1, right_index), axis) + right_edge = padded[right_slice] + + return left_edge, right_edge + + +def _get_linear_ramps(padded, axis, width_pair, end_value_pair): + """ + Construct linear ramps for empty-padded array in given dimension. + + Parameters + ---------- + padded : ndarray + Empty-padded array. + axis : int + Dimension in which the ramps are constructed. + width_pair : (int, int) + Pair of widths that mark the pad area on both sides in the given + dimension. + end_value_pair : (scalar, scalar) + End values for the linear ramps which form the edge of the fully padded + array. These values are included in the linear ramps. + + Returns + ------- + left_ramp, right_ramp : ndarray + Linear ramps to set on both sides of `padded`. + """ + edge_pair = _get_edges(padded, axis, width_pair) + + left_ramp, right_ramp = ( + np.linspace( + start=end_value, + stop=edge.squeeze(axis), # Dimension is replaced by linspace + num=width, + endpoint=False, + dtype=padded.dtype, + axis=axis + ) + for end_value, edge, width in zip( + end_value_pair, edge_pair, width_pair + ) + ) + + # Reverse linear space in appropriate dimension + right_ramp = right_ramp[_slice_at_axis(slice(None, None, -1), axis)] + + return left_ramp, right_ramp + + +def _get_stats(padded, axis, width_pair, length_pair, stat_func): + """ + Calculate statistic for the empty-padded array in given dimension. + + Parameters + ---------- + padded : ndarray + Empty-padded array. + axis : int + Dimension in which the statistic is calculated. + width_pair : (int, int) + Pair of widths that mark the pad area on both sides in the given + dimension. + length_pair : 2-element sequence of None or int + Gives the number of values in valid area from each side that is + taken into account when calculating the statistic. If None the entire + valid area in `padded` is considered. + stat_func : function + Function to compute statistic. The expected signature is + ``stat_func(x: ndarray, axis: int, keepdims: bool) -> ndarray``. + + Returns + ------- + left_stat, right_stat : ndarray + Calculated statistic for both sides of `padded`. + """ + # Calculate indices of the edges of the area with original values + left_index = width_pair[0] + right_index = padded.shape[axis] - width_pair[1] + # as well as its length + max_length = right_index - left_index + + # Limit stat_lengths to max_length + left_length, right_length = length_pair + if left_length is None or max_length < left_length: + left_length = max_length + if right_length is None or max_length < right_length: + right_length = max_length + + if (left_length == 0 or right_length == 0) \ + and stat_func in {np.amax, np.amin}: + # amax and amin can't operate on an empty array, + # raise a more descriptive warning here instead of the default one + raise ValueError("stat_length of 0 yields no value for padding") + + # Calculate statistic for the left side + left_slice = _slice_at_axis( + slice(left_index, left_index + left_length), axis) + left_chunk = padded[left_slice] + left_stat = stat_func(left_chunk, axis=axis, keepdims=True) + _round_if_needed(left_stat, padded.dtype) + + if left_length == right_length == max_length: + # return early as right_stat must be identical to left_stat + return left_stat, left_stat + + # Calculate statistic for the right side + right_slice = _slice_at_axis( + slice(right_index - right_length, right_index), axis) + right_chunk = padded[right_slice] + right_stat = stat_func(right_chunk, axis=axis, keepdims=True) + _round_if_needed(right_stat, padded.dtype) + + return left_stat, right_stat + + +def _set_reflect_both(padded, axis, width_pair, method, include_edge=False): + """ + Pad `axis` of `arr` with reflection. + + Parameters + ---------- + padded : ndarray + Input array of arbitrary shape. + axis : int + Axis along which to pad `arr`. + width_pair : (int, int) + Pair of widths that mark the pad area on both sides in the given + dimension. + method : str + Controls method of reflection; options are 'even' or 'odd'. + include_edge : bool + If true, edge value is included in reflection, otherwise the edge + value forms the symmetric axis to the reflection. + + Returns + ------- + pad_amt : tuple of ints, length 2 + New index positions of padding to do along the `axis`. If these are + both 0, padding is done in this dimension. + """ + left_pad, right_pad = width_pair + old_length = padded.shape[axis] - right_pad - left_pad + + if include_edge: + # Edge is included, we need to offset the pad amount by 1 + edge_offset = 1 + else: + edge_offset = 0 # Edge is not included, no need to offset pad amount + old_length -= 1 # but must be omitted from the chunk + + if left_pad > 0: + # Pad with reflected values on left side: + # First limit chunk size which can't be larger than pad area + chunk_length = min(old_length, left_pad) + # Slice right to left, stop on or next to edge, start relative to stop + stop = left_pad - edge_offset + start = stop + chunk_length + left_slice = _slice_at_axis(slice(start, stop, -1), axis) + left_chunk = padded[left_slice] + + if method == "odd": + # Negate chunk and align with edge + edge_slice = _slice_at_axis(slice(left_pad, left_pad + 1), axis) + left_chunk = 2 * padded[edge_slice] - left_chunk + + # Insert chunk into padded area + start = left_pad - chunk_length + stop = left_pad + pad_area = _slice_at_axis(slice(start, stop), axis) + padded[pad_area] = left_chunk + # Adjust pointer to left edge for next iteration + left_pad -= chunk_length + + if right_pad > 0: + # Pad with reflected values on right side: + # First limit chunk size which can't be larger than pad area + chunk_length = min(old_length, right_pad) + # Slice right to left, start on or next to edge, stop relative to start + start = -right_pad + edge_offset - 2 + stop = start - chunk_length + right_slice = _slice_at_axis(slice(start, stop, -1), axis) + right_chunk = padded[right_slice] + + if method == "odd": + # Negate chunk and align with edge + edge_slice = _slice_at_axis( + slice(-right_pad - 1, -right_pad), axis) + right_chunk = 2 * padded[edge_slice] - right_chunk + + # Insert chunk into padded area + start = padded.shape[axis] - right_pad + stop = start + chunk_length + pad_area = _slice_at_axis(slice(start, stop), axis) + padded[pad_area] = right_chunk + # Adjust pointer to right edge for next iteration + right_pad -= chunk_length + + return left_pad, right_pad + + +def _set_wrap_both(padded, axis, width_pair, original_period): + """ + Pad `axis` of `arr` with wrapped values. + + Parameters + ---------- + padded : ndarray + Input array of arbitrary shape. + axis : int + Axis along which to pad `arr`. + width_pair : (int, int) + Pair of widths that mark the pad area on both sides in the given + dimension. + original_period : int + Original length of data on `axis` of `arr`. + + Returns + ------- + pad_amt : tuple of ints, length 2 + New index positions of padding to do along the `axis`. If these are + both 0, padding is done in this dimension. + """ + left_pad, right_pad = width_pair + period = padded.shape[axis] - right_pad - left_pad + # Avoid wrapping with only a subset of the original area by ensuring period + # can only be a multiple of the original area's length. + period = period // original_period * original_period + + # If the current dimension of `arr` doesn't contain enough valid values + # (not part of the undefined pad area) we need to pad multiple times. + # Each time the pad area shrinks on both sides which is communicated with + # these variables. + new_left_pad = 0 + new_right_pad = 0 + + if left_pad > 0: + # Pad with wrapped values on left side + # First slice chunk from left side of the non-pad area. + # Use min(period, left_pad) to ensure that chunk is not larger than + # pad area. + slice_end = left_pad + period + slice_start = slice_end - min(period, left_pad) + right_slice = _slice_at_axis(slice(slice_start, slice_end), axis) + right_chunk = padded[right_slice] + + if left_pad > period: + # Chunk is smaller than pad area + pad_area = _slice_at_axis(slice(left_pad - period, left_pad), axis) + new_left_pad = left_pad - period + else: + # Chunk matches pad area + pad_area = _slice_at_axis(slice(None, left_pad), axis) + padded[pad_area] = right_chunk + + if right_pad > 0: + # Pad with wrapped values on right side + # First slice chunk from right side of the non-pad area. + # Use min(period, right_pad) to ensure that chunk is not larger than + # pad area. + slice_start = -right_pad - period + slice_end = slice_start + min(period, right_pad) + left_slice = _slice_at_axis(slice(slice_start, slice_end), axis) + left_chunk = padded[left_slice] + + if right_pad > period: + # Chunk is smaller than pad area + pad_area = _slice_at_axis( + slice(-right_pad, -right_pad + period), axis) + new_right_pad = right_pad - period + else: + # Chunk matches pad area + pad_area = _slice_at_axis(slice(-right_pad, None), axis) + padded[pad_area] = left_chunk + + return new_left_pad, new_right_pad + + +def _as_pairs(x, ndim, as_index=False): + """ + Broadcast `x` to an array with the shape (`ndim`, 2). + + A helper function for `pad` that prepares and validates arguments like + `pad_width` for iteration in pairs. + + Parameters + ---------- + x : {None, scalar, array-like} + The object to broadcast to the shape (`ndim`, 2). + ndim : int + Number of pairs the broadcasted `x` will have. + as_index : bool, optional + If `x` is not None, try to round each element of `x` to an integer + (dtype `np.intp`) and ensure every element is positive. + + Returns + ------- + pairs : nested iterables, shape (`ndim`, 2) + The broadcasted version of `x`. + + Raises + ------ + ValueError + If `as_index` is True and `x` contains negative elements. + Or if `x` is not broadcastable to the shape (`ndim`, 2). + """ + if x is None: + # Pass through None as a special case, otherwise np.round(x) fails + # with an AttributeError + return ((None, None),) * ndim + + x = np.array(x) + if as_index: + x = np.round(x).astype(np.intp, copy=False) + + if x.ndim < 3: + # Optimization: Possibly use faster paths for cases where `x` has + # only 1 or 2 elements. `np.broadcast_to` could handle these as well + # but is currently slower + + if x.size == 1: + # x was supplied as a single value + x = x.ravel() # Ensure x[0] works for x.ndim == 0, 1, 2 + if as_index and x < 0: + raise ValueError("index can't contain negative values") + return ((x[0], x[0]),) * ndim + + if x.size == 2 and x.shape != (2, 1): + # x was supplied with a single value for each side + # but except case when each dimension has a single value + # which should be broadcasted to a pair, + # e.g. [[1], [2]] -> [[1, 1], [2, 2]] not [[1, 2], [1, 2]] + x = x.ravel() # Ensure x[0], x[1] works + if as_index and (x[0] < 0 or x[1] < 0): + raise ValueError("index can't contain negative values") + return ((x[0], x[1]),) * ndim + + if as_index and x.min() < 0: + raise ValueError("index can't contain negative values") + + # Converting the array with `tolist` seems to improve performance + # when iterating and indexing the result (see usage in `pad`) + return np.broadcast_to(x, (ndim, 2)).tolist() + + +def _pad_dispatcher(array, pad_width, mode=None, **kwargs): + return (array,) + + +############################################################################### +# Public functions + + +@array_function_dispatch(_pad_dispatcher, module='numpy') +def pad(array, pad_width, mode='constant', **kwargs): + """ + Pad an array. + + Parameters + ---------- + array : array_like of rank N + The array to pad. + pad_width : {sequence, array_like, int} + Number of values padded to the edges of each axis. + ``((before_1, after_1), ... (before_N, after_N))`` unique pad widths + for each axis. + ``(before, after)`` or ``((before, after),)`` yields same before + and after pad for each axis. + ``(pad,)`` or ``int`` is a shortcut for before = after = pad width + for all axes. + mode : str or function, optional + One of the following string values or a user supplied function. + + 'constant' (default) + Pads with a constant value. + 'edge' + Pads with the edge values of array. + 'linear_ramp' + Pads with the linear ramp between end_value and the + array edge value. + 'maximum' + Pads with the maximum value of all or part of the + vector along each axis. + 'mean' + Pads with the mean value of all or part of the + vector along each axis. + 'median' + Pads with the median value of all or part of the + vector along each axis. + 'minimum' + Pads with the minimum value of all or part of the + vector along each axis. + 'reflect' + Pads with the reflection of the vector mirrored on + the first and last values of the vector along each + axis. + 'symmetric' + Pads with the reflection of the vector mirrored + along the edge of the array. + 'wrap' + Pads with the wrap of the vector along the axis. + The first values are used to pad the end and the + end values are used to pad the beginning. + 'empty' + Pads with undefined values. + + .. versionadded:: 1.17 + + + Padding function, see Notes. + stat_length : sequence or int, optional + Used in 'maximum', 'mean', 'median', and 'minimum'. Number of + values at edge of each axis used to calculate the statistic value. + + ``((before_1, after_1), ... (before_N, after_N))`` unique statistic + lengths for each axis. + + ``(before, after)`` or ``((before, after),)`` yields same before + and after statistic lengths for each axis. + + ``(stat_length,)`` or ``int`` is a shortcut for + ``before = after = statistic`` length for all axes. + + Default is ``None``, to use the entire axis. + constant_values : sequence or scalar, optional + Used in 'constant'. The values to set the padded values for each + axis. + + ``((before_1, after_1), ... (before_N, after_N))`` unique pad constants + for each axis. + + ``(before, after)`` or ``((before, after),)`` yields same before + and after constants for each axis. + + ``(constant,)`` or ``constant`` is a shortcut for + ``before = after = constant`` for all axes. + + Default is 0. + end_values : sequence or scalar, optional + Used in 'linear_ramp'. The values used for the ending value of the + linear_ramp and that will form the edge of the padded array. + + ``((before_1, after_1), ... (before_N, after_N))`` unique end values + for each axis. + + ``(before, after)`` or ``((before, after),)`` yields same before + and after end values for each axis. + + ``(constant,)`` or ``constant`` is a shortcut for + ``before = after = constant`` for all axes. + + Default is 0. + reflect_type : {'even', 'odd'}, optional + Used in 'reflect', and 'symmetric'. The 'even' style is the + default with an unaltered reflection around the edge value. For + the 'odd' style, the extended part of the array is created by + subtracting the reflected values from two times the edge value. + + Returns + ------- + pad : ndarray + Padded array of rank equal to `array` with shape increased + according to `pad_width`. + + Notes + ----- + .. versionadded:: 1.7.0 + + For an array with rank greater than 1, some of the padding of later + axes is calculated from padding of previous axes. This is easiest to + think about with a rank 2 array where the corners of the padded array + are calculated by using padded values from the first axis. + + The padding function, if used, should modify a rank 1 array in-place. It + has the following signature:: + + padding_func(vector, iaxis_pad_width, iaxis, kwargs) + + where + + vector : ndarray + A rank 1 array already padded with zeros. Padded values are + vector[:iaxis_pad_width[0]] and vector[-iaxis_pad_width[1]:]. + iaxis_pad_width : tuple + A 2-tuple of ints, iaxis_pad_width[0] represents the number of + values padded at the beginning of vector where + iaxis_pad_width[1] represents the number of values padded at + the end of vector. + iaxis : int + The axis currently being calculated. + kwargs : dict + Any keyword arguments the function requires. + + Examples + -------- + >>> a = [1, 2, 3, 4, 5] + >>> np.pad(a, (2, 3), 'constant', constant_values=(4, 6)) + array([4, 4, 1, ..., 6, 6, 6]) + + >>> np.pad(a, (2, 3), 'edge') + array([1, 1, 1, ..., 5, 5, 5]) + + >>> np.pad(a, (2, 3), 'linear_ramp', end_values=(5, -4)) + array([ 5, 3, 1, 2, 3, 4, 5, 2, -1, -4]) + + >>> np.pad(a, (2,), 'maximum') + array([5, 5, 1, 2, 3, 4, 5, 5, 5]) + + >>> np.pad(a, (2,), 'mean') + array([3, 3, 1, 2, 3, 4, 5, 3, 3]) + + >>> np.pad(a, (2,), 'median') + array([3, 3, 1, 2, 3, 4, 5, 3, 3]) + + >>> a = [[1, 2], [3, 4]] + >>> np.pad(a, ((3, 2), (2, 3)), 'minimum') + array([[1, 1, 1, 2, 1, 1, 1], + [1, 1, 1, 2, 1, 1, 1], + [1, 1, 1, 2, 1, 1, 1], + [1, 1, 1, 2, 1, 1, 1], + [3, 3, 3, 4, 3, 3, 3], + [1, 1, 1, 2, 1, 1, 1], + [1, 1, 1, 2, 1, 1, 1]]) + + >>> a = [1, 2, 3, 4, 5] + >>> np.pad(a, (2, 3), 'reflect') + array([3, 2, 1, 2, 3, 4, 5, 4, 3, 2]) + + >>> np.pad(a, (2, 3), 'reflect', reflect_type='odd') + array([-1, 0, 1, 2, 3, 4, 5, 6, 7, 8]) + + >>> np.pad(a, (2, 3), 'symmetric') + array([2, 1, 1, 2, 3, 4, 5, 5, 4, 3]) + + >>> np.pad(a, (2, 3), 'symmetric', reflect_type='odd') + array([0, 1, 1, 2, 3, 4, 5, 5, 6, 7]) + + >>> np.pad(a, (2, 3), 'wrap') + array([4, 5, 1, 2, 3, 4, 5, 1, 2, 3]) + + >>> def pad_with(vector, pad_width, iaxis, kwargs): + ... pad_value = kwargs.get('padder', 10) + ... vector[:pad_width[0]] = pad_value + ... vector[-pad_width[1]:] = pad_value + >>> a = np.arange(6) + >>> a = a.reshape((2, 3)) + >>> np.pad(a, 2, pad_with) + array([[10, 10, 10, 10, 10, 10, 10], + [10, 10, 10, 10, 10, 10, 10], + [10, 10, 0, 1, 2, 10, 10], + [10, 10, 3, 4, 5, 10, 10], + [10, 10, 10, 10, 10, 10, 10], + [10, 10, 10, 10, 10, 10, 10]]) + >>> np.pad(a, 2, pad_with, padder=100) + array([[100, 100, 100, 100, 100, 100, 100], + [100, 100, 100, 100, 100, 100, 100], + [100, 100, 0, 1, 2, 100, 100], + [100, 100, 3, 4, 5, 100, 100], + [100, 100, 100, 100, 100, 100, 100], + [100, 100, 100, 100, 100, 100, 100]]) + """ + array = np.asarray(array) + pad_width = np.asarray(pad_width) + + if not pad_width.dtype.kind == 'i': + raise TypeError('`pad_width` must be of integral type.') + + # Broadcast to shape (array.ndim, 2) + pad_width = _as_pairs(pad_width, array.ndim, as_index=True) + + if callable(mode): + # Old behavior: Use user-supplied function with np.apply_along_axis + function = mode + # Create a new zero padded array + padded, _ = _pad_simple(array, pad_width, fill_value=0) + # And apply along each axis + + for axis in range(padded.ndim): + # Iterate using ndindex as in apply_along_axis, but assuming that + # function operates inplace on the padded array. + + # view with the iteration axis at the end + view = np.moveaxis(padded, axis, -1) + + # compute indices for the iteration axes, and append a trailing + # ellipsis to prevent 0d arrays decaying to scalars (gh-8642) + inds = ndindex(view.shape[:-1]) + inds = (ind + (Ellipsis,) for ind in inds) + for ind in inds: + function(view[ind], pad_width[axis], axis, kwargs) + + return padded + + # Make sure that no unsupported keywords were passed for the current mode + allowed_kwargs = { + 'empty': [], 'edge': [], 'wrap': [], + 'constant': ['constant_values'], + 'linear_ramp': ['end_values'], + 'maximum': ['stat_length'], + 'mean': ['stat_length'], + 'median': ['stat_length'], + 'minimum': ['stat_length'], + 'reflect': ['reflect_type'], + 'symmetric': ['reflect_type'], + } + try: + unsupported_kwargs = set(kwargs) - set(allowed_kwargs[mode]) + except KeyError: + raise ValueError("mode '{}' is not supported".format(mode)) from None + if unsupported_kwargs: + raise ValueError("unsupported keyword arguments for mode '{}': {}" + .format(mode, unsupported_kwargs)) + + stat_functions = {"maximum": np.amax, "minimum": np.amin, + "mean": np.mean, "median": np.median} + + # Create array with final shape and original values + # (padded area is undefined) + padded, original_area_slice = _pad_simple(array, pad_width) + # And prepare iteration over all dimensions + # (zipping may be more readable than using enumerate) + axes = range(padded.ndim) + + if mode == "constant": + values = kwargs.get("constant_values", 0) + values = _as_pairs(values, padded.ndim) + for axis, width_pair, value_pair in zip(axes, pad_width, values): + roi = _view_roi(padded, original_area_slice, axis) + _set_pad_area(roi, axis, width_pair, value_pair) + + elif mode == "empty": + pass # Do nothing as _pad_simple already returned the correct result + + elif array.size == 0: + # Only modes "constant" and "empty" can extend empty axes, all other + # modes depend on `array` not being empty + # -> ensure every empty axis is only "padded with 0" + for axis, width_pair in zip(axes, pad_width): + if array.shape[axis] == 0 and any(width_pair): + raise ValueError( + "can't extend empty axis {} using modes other than " + "'constant' or 'empty'".format(axis) + ) + # passed, don't need to do anything more as _pad_simple already + # returned the correct result + + elif mode == "edge": + for axis, width_pair in zip(axes, pad_width): + roi = _view_roi(padded, original_area_slice, axis) + edge_pair = _get_edges(roi, axis, width_pair) + _set_pad_area(roi, axis, width_pair, edge_pair) + + elif mode == "linear_ramp": + end_values = kwargs.get("end_values", 0) + end_values = _as_pairs(end_values, padded.ndim) + for axis, width_pair, value_pair in zip(axes, pad_width, end_values): + roi = _view_roi(padded, original_area_slice, axis) + ramp_pair = _get_linear_ramps(roi, axis, width_pair, value_pair) + _set_pad_area(roi, axis, width_pair, ramp_pair) + + elif mode in stat_functions: + func = stat_functions[mode] + length = kwargs.get("stat_length", None) + length = _as_pairs(length, padded.ndim, as_index=True) + for axis, width_pair, length_pair in zip(axes, pad_width, length): + roi = _view_roi(padded, original_area_slice, axis) + stat_pair = _get_stats(roi, axis, width_pair, length_pair, func) + _set_pad_area(roi, axis, width_pair, stat_pair) + + elif mode in {"reflect", "symmetric"}: + method = kwargs.get("reflect_type", "even") + include_edge = True if mode == "symmetric" else False + for axis, (left_index, right_index) in zip(axes, pad_width): + if array.shape[axis] == 1 and (left_index > 0 or right_index > 0): + # Extending singleton dimension for 'reflect' is legacy + # behavior; it really should raise an error. + edge_pair = _get_edges(padded, axis, (left_index, right_index)) + _set_pad_area( + padded, axis, (left_index, right_index), edge_pair) + continue + + roi = _view_roi(padded, original_area_slice, axis) + while left_index > 0 or right_index > 0: + # Iteratively pad until dimension is filled with reflected + # values. This is necessary if the pad area is larger than + # the length of the original values in the current dimension. + left_index, right_index = _set_reflect_both( + roi, axis, (left_index, right_index), + method, include_edge + ) + + elif mode == "wrap": + for axis, (left_index, right_index) in zip(axes, pad_width): + roi = _view_roi(padded, original_area_slice, axis) + original_period = padded.shape[axis] - right_index - left_index + while left_index > 0 or right_index > 0: + # Iteratively pad until dimension is filled with wrapped + # values. This is necessary if the pad area is larger than + # the length of the original values in the current dimension. + left_index, right_index = _set_wrap_both( + roi, axis, (left_index, right_index), original_period) + + return padded diff --git a/lib/python3.12/site-packages/numpy/lib/arraypad.pyi b/lib/python3.12/site-packages/numpy/lib/arraypad.pyi new file mode 100644 index 0000000000000000000000000000000000000000..1ac6fc7d91c868ba077235b8229cd00869386660 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/arraypad.pyi @@ -0,0 +1,85 @@ +from typing import ( + Literal as L, + Any, + overload, + TypeVar, + Protocol, +) + +from numpy import generic + +from numpy._typing import ( + ArrayLike, + NDArray, + _ArrayLikeInt, + _ArrayLike, +) + +_SCT = TypeVar("_SCT", bound=generic) + +class _ModeFunc(Protocol): + def __call__( + self, + vector: NDArray[Any], + iaxis_pad_width: tuple[int, int], + iaxis: int, + kwargs: dict[str, Any], + /, + ) -> None: ... + +_ModeKind = L[ + "constant", + "edge", + "linear_ramp", + "maximum", + "mean", + "median", + "minimum", + "reflect", + "symmetric", + "wrap", + "empty", +] + +__all__: list[str] + +# TODO: In practice each keyword argument is exclusive to one or more +# specific modes. Consider adding more overloads to express this in the future. + +# Expand `**kwargs` into explicit keyword-only arguments +@overload +def pad( + array: _ArrayLike[_SCT], + pad_width: _ArrayLikeInt, + mode: _ModeKind = ..., + *, + stat_length: None | _ArrayLikeInt = ..., + constant_values: ArrayLike = ..., + end_values: ArrayLike = ..., + reflect_type: L["odd", "even"] = ..., +) -> NDArray[_SCT]: ... +@overload +def pad( + array: ArrayLike, + pad_width: _ArrayLikeInt, + mode: _ModeKind = ..., + *, + stat_length: None | _ArrayLikeInt = ..., + constant_values: ArrayLike = ..., + end_values: ArrayLike = ..., + reflect_type: L["odd", "even"] = ..., +) -> NDArray[Any]: ... +@overload +def pad( + array: _ArrayLike[_SCT], + pad_width: _ArrayLikeInt, + mode: _ModeFunc, + **kwargs: Any, +) -> NDArray[_SCT]: ... +@overload +def pad( + array: ArrayLike, + pad_width: _ArrayLikeInt, + mode: _ModeFunc, + **kwargs: Any, +) -> NDArray[Any]: ... diff --git a/lib/python3.12/site-packages/numpy/lib/arraysetops.py b/lib/python3.12/site-packages/numpy/lib/arraysetops.py new file mode 100644 index 0000000000000000000000000000000000000000..300bbda26ceb547752857e26a5871fa802ca6a6d --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/arraysetops.py @@ -0,0 +1,981 @@ +""" +Set operations for arrays based on sorting. + +Notes +----- + +For floating point arrays, inaccurate results may appear due to usual round-off +and floating point comparison issues. + +Speed could be gained in some operations by an implementation of +`numpy.sort`, that can provide directly the permutation vectors, thus avoiding +calls to `numpy.argsort`. + +Original author: Robert Cimrman + +""" +import functools + +import numpy as np +from numpy.core import overrides + + +array_function_dispatch = functools.partial( + overrides.array_function_dispatch, module='numpy') + + +__all__ = [ + 'ediff1d', 'intersect1d', 'setxor1d', 'union1d', 'setdiff1d', 'unique', + 'in1d', 'isin' + ] + + +def _ediff1d_dispatcher(ary, to_end=None, to_begin=None): + return (ary, to_end, to_begin) + + +@array_function_dispatch(_ediff1d_dispatcher) +def ediff1d(ary, to_end=None, to_begin=None): + """ + The differences between consecutive elements of an array. + + Parameters + ---------- + ary : array_like + If necessary, will be flattened before the differences are taken. + to_end : array_like, optional + Number(s) to append at the end of the returned differences. + to_begin : array_like, optional + Number(s) to prepend at the beginning of the returned differences. + + Returns + ------- + ediff1d : ndarray + The differences. Loosely, this is ``ary.flat[1:] - ary.flat[:-1]``. + + See Also + -------- + diff, gradient + + Notes + ----- + When applied to masked arrays, this function drops the mask information + if the `to_begin` and/or `to_end` parameters are used. + + Examples + -------- + >>> x = np.array([1, 2, 4, 7, 0]) + >>> np.ediff1d(x) + array([ 1, 2, 3, -7]) + + >>> np.ediff1d(x, to_begin=-99, to_end=np.array([88, 99])) + array([-99, 1, 2, ..., -7, 88, 99]) + + The returned array is always 1D. + + >>> y = [[1, 2, 4], [1, 6, 24]] + >>> np.ediff1d(y) + array([ 1, 2, -3, 5, 18]) + + """ + # force a 1d array + ary = np.asanyarray(ary).ravel() + + # enforce that the dtype of `ary` is used for the output + dtype_req = ary.dtype + + # fast track default case + if to_begin is None and to_end is None: + return ary[1:] - ary[:-1] + + if to_begin is None: + l_begin = 0 + else: + to_begin = np.asanyarray(to_begin) + if not np.can_cast(to_begin, dtype_req, casting="same_kind"): + raise TypeError("dtype of `to_begin` must be compatible " + "with input `ary` under the `same_kind` rule.") + + to_begin = to_begin.ravel() + l_begin = len(to_begin) + + if to_end is None: + l_end = 0 + else: + to_end = np.asanyarray(to_end) + if not np.can_cast(to_end, dtype_req, casting="same_kind"): + raise TypeError("dtype of `to_end` must be compatible " + "with input `ary` under the `same_kind` rule.") + + to_end = to_end.ravel() + l_end = len(to_end) + + # do the calculation in place and copy to_begin and to_end + l_diff = max(len(ary) - 1, 0) + result = np.empty(l_diff + l_begin + l_end, dtype=ary.dtype) + result = ary.__array_wrap__(result) + if l_begin > 0: + result[:l_begin] = to_begin + if l_end > 0: + result[l_begin + l_diff:] = to_end + np.subtract(ary[1:], ary[:-1], result[l_begin:l_begin + l_diff]) + return result + + +def _unpack_tuple(x): + """ Unpacks one-element tuples for use as return values """ + if len(x) == 1: + return x[0] + else: + return x + + +def _unique_dispatcher(ar, return_index=None, return_inverse=None, + return_counts=None, axis=None, *, equal_nan=None): + return (ar,) + + +@array_function_dispatch(_unique_dispatcher) +def unique(ar, return_index=False, return_inverse=False, + return_counts=False, axis=None, *, equal_nan=True): + """ + Find the unique elements of an array. + + Returns the sorted unique elements of an array. There are three optional + outputs in addition to the unique elements: + + * the indices of the input array that give the unique values + * the indices of the unique array that reconstruct the input array + * the number of times each unique value comes up in the input array + + Parameters + ---------- + ar : array_like + Input array. Unless `axis` is specified, this will be flattened if it + is not already 1-D. + return_index : bool, optional + If True, also return the indices of `ar` (along the specified axis, + if provided, or in the flattened array) that result in the unique array. + return_inverse : bool, optional + If True, also return the indices of the unique array (for the specified + axis, if provided) that can be used to reconstruct `ar`. + return_counts : bool, optional + If True, also return the number of times each unique item appears + in `ar`. + axis : int or None, optional + The axis to operate on. If None, `ar` will be flattened. If an integer, + the subarrays indexed by the given axis will be flattened and treated + as the elements of a 1-D array with the dimension of the given axis, + see the notes for more details. Object arrays or structured arrays + that contain objects are not supported if the `axis` kwarg is used. The + default is None. + + .. versionadded:: 1.13.0 + + equal_nan : bool, optional + If True, collapses multiple NaN values in the return array into one. + + .. versionadded:: 1.24 + + Returns + ------- + unique : ndarray + The sorted unique values. + unique_indices : ndarray, optional + The indices of the first occurrences of the unique values in the + original array. Only provided if `return_index` is True. + unique_inverse : ndarray, optional + The indices to reconstruct the original array from the + unique array. Only provided if `return_inverse` is True. + unique_counts : ndarray, optional + The number of times each of the unique values comes up in the + original array. Only provided if `return_counts` is True. + + .. versionadded:: 1.9.0 + + See Also + -------- + numpy.lib.arraysetops : Module with a number of other functions for + performing set operations on arrays. + repeat : Repeat elements of an array. + + Notes + ----- + When an axis is specified the subarrays indexed by the axis are sorted. + This is done by making the specified axis the first dimension of the array + (move the axis to the first dimension to keep the order of the other axes) + and then flattening the subarrays in C order. The flattened subarrays are + then viewed as a structured type with each element given a label, with the + effect that we end up with a 1-D array of structured types that can be + treated in the same way as any other 1-D array. The result is that the + flattened subarrays are sorted in lexicographic order starting with the + first element. + + .. versionchanged: NumPy 1.21 + If nan values are in the input array, a single nan is put + to the end of the sorted unique values. + + Also for complex arrays all NaN values are considered equivalent + (no matter whether the NaN is in the real or imaginary part). + As the representant for the returned array the smallest one in the + lexicographical order is chosen - see np.sort for how the lexicographical + order is defined for complex arrays. + + Examples + -------- + >>> np.unique([1, 1, 2, 2, 3, 3]) + array([1, 2, 3]) + >>> a = np.array([[1, 1], [2, 3]]) + >>> np.unique(a) + array([1, 2, 3]) + + Return the unique rows of a 2D array + + >>> a = np.array([[1, 0, 0], [1, 0, 0], [2, 3, 4]]) + >>> np.unique(a, axis=0) + array([[1, 0, 0], [2, 3, 4]]) + + Return the indices of the original array that give the unique values: + + >>> a = np.array(['a', 'b', 'b', 'c', 'a']) + >>> u, indices = np.unique(a, return_index=True) + >>> u + array(['a', 'b', 'c'], dtype='>> indices + array([0, 1, 3]) + >>> a[indices] + array(['a', 'b', 'c'], dtype='>> a = np.array([1, 2, 6, 4, 2, 3, 2]) + >>> u, indices = np.unique(a, return_inverse=True) + >>> u + array([1, 2, 3, 4, 6]) + >>> indices + array([0, 1, 4, 3, 1, 2, 1]) + >>> u[indices] + array([1, 2, 6, 4, 2, 3, 2]) + + Reconstruct the input values from the unique values and counts: + + >>> a = np.array([1, 2, 6, 4, 2, 3, 2]) + >>> values, counts = np.unique(a, return_counts=True) + >>> values + array([1, 2, 3, 4, 6]) + >>> counts + array([1, 3, 1, 1, 1]) + >>> np.repeat(values, counts) + array([1, 2, 2, 2, 3, 4, 6]) # original order not preserved + + """ + ar = np.asanyarray(ar) + if axis is None: + ret = _unique1d(ar, return_index, return_inverse, return_counts, + equal_nan=equal_nan) + return _unpack_tuple(ret) + + # axis was specified and not None + try: + ar = np.moveaxis(ar, axis, 0) + except np.AxisError: + # this removes the "axis1" or "axis2" prefix from the error message + raise np.AxisError(axis, ar.ndim) from None + + # Must reshape to a contiguous 2D array for this to work... + orig_shape, orig_dtype = ar.shape, ar.dtype + ar = ar.reshape(orig_shape[0], np.prod(orig_shape[1:], dtype=np.intp)) + ar = np.ascontiguousarray(ar) + dtype = [('f{i}'.format(i=i), ar.dtype) for i in range(ar.shape[1])] + + # At this point, `ar` has shape `(n, m)`, and `dtype` is a structured + # data type with `m` fields where each field has the data type of `ar`. + # In the following, we create the array `consolidated`, which has + # shape `(n,)` with data type `dtype`. + try: + if ar.shape[1] > 0: + consolidated = ar.view(dtype) + else: + # If ar.shape[1] == 0, then dtype will be `np.dtype([])`, which is + # a data type with itemsize 0, and the call `ar.view(dtype)` will + # fail. Instead, we'll use `np.empty` to explicitly create the + # array with shape `(len(ar),)`. Because `dtype` in this case has + # itemsize 0, the total size of the result is still 0 bytes. + consolidated = np.empty(len(ar), dtype=dtype) + except TypeError as e: + # There's no good way to do this for object arrays, etc... + msg = 'The axis argument to unique is not supported for dtype {dt}' + raise TypeError(msg.format(dt=ar.dtype)) from e + + def reshape_uniq(uniq): + n = len(uniq) + uniq = uniq.view(orig_dtype) + uniq = uniq.reshape(n, *orig_shape[1:]) + uniq = np.moveaxis(uniq, 0, axis) + return uniq + + output = _unique1d(consolidated, return_index, + return_inverse, return_counts, equal_nan=equal_nan) + output = (reshape_uniq(output[0]),) + output[1:] + return _unpack_tuple(output) + + +def _unique1d(ar, return_index=False, return_inverse=False, + return_counts=False, *, equal_nan=True): + """ + Find the unique elements of an array, ignoring shape. + """ + ar = np.asanyarray(ar).flatten() + + optional_indices = return_index or return_inverse + + if optional_indices: + perm = ar.argsort(kind='mergesort' if return_index else 'quicksort') + aux = ar[perm] + else: + ar.sort() + aux = ar + mask = np.empty(aux.shape, dtype=np.bool_) + mask[:1] = True + if (equal_nan and aux.shape[0] > 0 and aux.dtype.kind in "cfmM" and + np.isnan(aux[-1])): + if aux.dtype.kind == "c": # for complex all NaNs are considered equivalent + aux_firstnan = np.searchsorted(np.isnan(aux), True, side='left') + else: + aux_firstnan = np.searchsorted(aux, aux[-1], side='left') + if aux_firstnan > 0: + mask[1:aux_firstnan] = ( + aux[1:aux_firstnan] != aux[:aux_firstnan - 1]) + mask[aux_firstnan] = True + mask[aux_firstnan + 1:] = False + else: + mask[1:] = aux[1:] != aux[:-1] + + ret = (aux[mask],) + if return_index: + ret += (perm[mask],) + if return_inverse: + imask = np.cumsum(mask) - 1 + inv_idx = np.empty(mask.shape, dtype=np.intp) + inv_idx[perm] = imask + ret += (inv_idx,) + if return_counts: + idx = np.concatenate(np.nonzero(mask) + ([mask.size],)) + ret += (np.diff(idx),) + return ret + + +def _intersect1d_dispatcher( + ar1, ar2, assume_unique=None, return_indices=None): + return (ar1, ar2) + + +@array_function_dispatch(_intersect1d_dispatcher) +def intersect1d(ar1, ar2, assume_unique=False, return_indices=False): + """ + Find the intersection of two arrays. + + Return the sorted, unique values that are in both of the input arrays. + + Parameters + ---------- + ar1, ar2 : array_like + Input arrays. Will be flattened if not already 1D. + assume_unique : bool + If True, the input arrays are both assumed to be unique, which + can speed up the calculation. If True but ``ar1`` or ``ar2`` are not + unique, incorrect results and out-of-bounds indices could result. + Default is False. + return_indices : bool + If True, the indices which correspond to the intersection of the two + arrays are returned. The first instance of a value is used if there are + multiple. Default is False. + + .. versionadded:: 1.15.0 + + Returns + ------- + intersect1d : ndarray + Sorted 1D array of common and unique elements. + comm1 : ndarray + The indices of the first occurrences of the common values in `ar1`. + Only provided if `return_indices` is True. + comm2 : ndarray + The indices of the first occurrences of the common values in `ar2`. + Only provided if `return_indices` is True. + + + See Also + -------- + numpy.lib.arraysetops : Module with a number of other functions for + performing set operations on arrays. + + Examples + -------- + >>> np.intersect1d([1, 3, 4, 3], [3, 1, 2, 1]) + array([1, 3]) + + To intersect more than two arrays, use functools.reduce: + + >>> from functools import reduce + >>> reduce(np.intersect1d, ([1, 3, 4, 3], [3, 1, 2, 1], [6, 3, 4, 2])) + array([3]) + + To return the indices of the values common to the input arrays + along with the intersected values: + + >>> x = np.array([1, 1, 2, 3, 4]) + >>> y = np.array([2, 1, 4, 6]) + >>> xy, x_ind, y_ind = np.intersect1d(x, y, return_indices=True) + >>> x_ind, y_ind + (array([0, 2, 4]), array([1, 0, 2])) + >>> xy, x[x_ind], y[y_ind] + (array([1, 2, 4]), array([1, 2, 4]), array([1, 2, 4])) + + """ + ar1 = np.asanyarray(ar1) + ar2 = np.asanyarray(ar2) + + if not assume_unique: + if return_indices: + ar1, ind1 = unique(ar1, return_index=True) + ar2, ind2 = unique(ar2, return_index=True) + else: + ar1 = unique(ar1) + ar2 = unique(ar2) + else: + ar1 = ar1.ravel() + ar2 = ar2.ravel() + + aux = np.concatenate((ar1, ar2)) + if return_indices: + aux_sort_indices = np.argsort(aux, kind='mergesort') + aux = aux[aux_sort_indices] + else: + aux.sort() + + mask = aux[1:] == aux[:-1] + int1d = aux[:-1][mask] + + if return_indices: + ar1_indices = aux_sort_indices[:-1][mask] + ar2_indices = aux_sort_indices[1:][mask] - ar1.size + if not assume_unique: + ar1_indices = ind1[ar1_indices] + ar2_indices = ind2[ar2_indices] + + return int1d, ar1_indices, ar2_indices + else: + return int1d + + +def _setxor1d_dispatcher(ar1, ar2, assume_unique=None): + return (ar1, ar2) + + +@array_function_dispatch(_setxor1d_dispatcher) +def setxor1d(ar1, ar2, assume_unique=False): + """ + Find the set exclusive-or of two arrays. + + Return the sorted, unique values that are in only one (not both) of the + input arrays. + + Parameters + ---------- + ar1, ar2 : array_like + Input arrays. + assume_unique : bool + If True, the input arrays are both assumed to be unique, which + can speed up the calculation. Default is False. + + Returns + ------- + setxor1d : ndarray + Sorted 1D array of unique values that are in only one of the input + arrays. + + Examples + -------- + >>> a = np.array([1, 2, 3, 2, 4]) + >>> b = np.array([2, 3, 5, 7, 5]) + >>> np.setxor1d(a,b) + array([1, 4, 5, 7]) + + """ + if not assume_unique: + ar1 = unique(ar1) + ar2 = unique(ar2) + + aux = np.concatenate((ar1, ar2)) + if aux.size == 0: + return aux + + aux.sort() + flag = np.concatenate(([True], aux[1:] != aux[:-1], [True])) + return aux[flag[1:] & flag[:-1]] + + +def _in1d_dispatcher(ar1, ar2, assume_unique=None, invert=None, *, + kind=None): + return (ar1, ar2) + + +@array_function_dispatch(_in1d_dispatcher) +def in1d(ar1, ar2, assume_unique=False, invert=False, *, kind=None): + """ + Test whether each element of a 1-D array is also present in a second array. + + Returns a boolean array the same length as `ar1` that is True + where an element of `ar1` is in `ar2` and False otherwise. + + We recommend using :func:`isin` instead of `in1d` for new code. + + Parameters + ---------- + ar1 : (M,) array_like + Input array. + ar2 : array_like + The values against which to test each value of `ar1`. + assume_unique : bool, optional + If True, the input arrays are both assumed to be unique, which + can speed up the calculation. Default is False. + invert : bool, optional + If True, the values in the returned array are inverted (that is, + False where an element of `ar1` is in `ar2` and True otherwise). + Default is False. ``np.in1d(a, b, invert=True)`` is equivalent + to (but is faster than) ``np.invert(in1d(a, b))``. + kind : {None, 'sort', 'table'}, optional + The algorithm to use. This will not affect the final result, + but will affect the speed and memory use. The default, None, + will select automatically based on memory considerations. + + * If 'sort', will use a mergesort-based approach. This will have + a memory usage of roughly 6 times the sum of the sizes of + `ar1` and `ar2`, not accounting for size of dtypes. + * If 'table', will use a lookup table approach similar + to a counting sort. This is only available for boolean and + integer arrays. This will have a memory usage of the + size of `ar1` plus the max-min value of `ar2`. `assume_unique` + has no effect when the 'table' option is used. + * If None, will automatically choose 'table' if + the required memory allocation is less than or equal to + 6 times the sum of the sizes of `ar1` and `ar2`, + otherwise will use 'sort'. This is done to not use + a large amount of memory by default, even though + 'table' may be faster in most cases. If 'table' is chosen, + `assume_unique` will have no effect. + + .. versionadded:: 1.8.0 + + Returns + ------- + in1d : (M,) ndarray, bool + The values `ar1[in1d]` are in `ar2`. + + See Also + -------- + isin : Version of this function that preserves the + shape of ar1. + numpy.lib.arraysetops : Module with a number of other functions for + performing set operations on arrays. + + Notes + ----- + `in1d` can be considered as an element-wise function version of the + python keyword `in`, for 1-D sequences. ``in1d(a, b)`` is roughly + equivalent to ``np.array([item in b for item in a])``. + However, this idea fails if `ar2` is a set, or similar (non-sequence) + container: As ``ar2`` is converted to an array, in those cases + ``asarray(ar2)`` is an object array rather than the expected array of + contained values. + + Using ``kind='table'`` tends to be faster than `kind='sort'` if the + following relationship is true: + ``log10(len(ar2)) > (log10(max(ar2)-min(ar2)) - 2.27) / 0.927``, + but may use greater memory. The default value for `kind` will + be automatically selected based only on memory usage, so one may + manually set ``kind='table'`` if memory constraints can be relaxed. + + .. versionadded:: 1.4.0 + + Examples + -------- + >>> test = np.array([0, 1, 2, 5, 0]) + >>> states = [0, 2] + >>> mask = np.in1d(test, states) + >>> mask + array([ True, False, True, False, True]) + >>> test[mask] + array([0, 2, 0]) + >>> mask = np.in1d(test, states, invert=True) + >>> mask + array([False, True, False, True, False]) + >>> test[mask] + array([1, 5]) + """ + # Ravel both arrays, behavior for the first array could be different + ar1 = np.asarray(ar1).ravel() + ar2 = np.asarray(ar2).ravel() + + # Ensure that iteration through object arrays yields size-1 arrays + if ar2.dtype == object: + ar2 = ar2.reshape(-1, 1) + + if kind not in {None, 'sort', 'table'}: + raise ValueError( + f"Invalid kind: '{kind}'. Please use None, 'sort' or 'table'.") + + # Can use the table method if all arrays are integers or boolean: + is_int_arrays = all(ar.dtype.kind in ("u", "i", "b") for ar in (ar1, ar2)) + use_table_method = is_int_arrays and kind in {None, 'table'} + + if use_table_method: + if ar2.size == 0: + if invert: + return np.ones_like(ar1, dtype=bool) + else: + return np.zeros_like(ar1, dtype=bool) + + # Convert booleans to uint8 so we can use the fast integer algorithm + if ar1.dtype == bool: + ar1 = ar1.astype(np.uint8) + if ar2.dtype == bool: + ar2 = ar2.astype(np.uint8) + + ar2_min = np.min(ar2) + ar2_max = np.max(ar2) + + ar2_range = int(ar2_max) - int(ar2_min) + + # Constraints on whether we can actually use the table method: + # 1. Assert memory usage is not too large + below_memory_constraint = ar2_range <= 6 * (ar1.size + ar2.size) + # 2. Check overflows for (ar2 - ar2_min); dtype=ar2.dtype + range_safe_from_overflow = ar2_range <= np.iinfo(ar2.dtype).max + # 3. Check overflows for (ar1 - ar2_min); dtype=ar1.dtype + if ar1.size > 0: + ar1_min = np.min(ar1) + ar1_max = np.max(ar1) + + # After masking, the range of ar1 is guaranteed to be + # within the range of ar2: + ar1_upper = min(int(ar1_max), int(ar2_max)) + ar1_lower = max(int(ar1_min), int(ar2_min)) + + range_safe_from_overflow &= all(( + ar1_upper - int(ar2_min) <= np.iinfo(ar1.dtype).max, + ar1_lower - int(ar2_min) >= np.iinfo(ar1.dtype).min + )) + + # Optimal performance is for approximately + # log10(size) > (log10(range) - 2.27) / 0.927. + # However, here we set the requirement that by default + # the intermediate array can only be 6x + # the combined memory allocation of the original + # arrays. See discussion on + # https://github.com/numpy/numpy/pull/12065. + + if ( + range_safe_from_overflow and + (below_memory_constraint or kind == 'table') + ): + + if invert: + outgoing_array = np.ones_like(ar1, dtype=bool) + else: + outgoing_array = np.zeros_like(ar1, dtype=bool) + + # Make elements 1 where the integer exists in ar2 + if invert: + isin_helper_ar = np.ones(ar2_range + 1, dtype=bool) + isin_helper_ar[ar2 - ar2_min] = 0 + else: + isin_helper_ar = np.zeros(ar2_range + 1, dtype=bool) + isin_helper_ar[ar2 - ar2_min] = 1 + + # Mask out elements we know won't work + basic_mask = (ar1 <= ar2_max) & (ar1 >= ar2_min) + outgoing_array[basic_mask] = isin_helper_ar[ar1[basic_mask] - + ar2_min] + + return outgoing_array + elif kind == 'table': # not range_safe_from_overflow + raise RuntimeError( + "You have specified kind='table', " + "but the range of values in `ar2` or `ar1` exceed the " + "maximum integer of the datatype. " + "Please set `kind` to None or 'sort'." + ) + elif kind == 'table': + raise ValueError( + "The 'table' method is only " + "supported for boolean or integer arrays. " + "Please select 'sort' or None for kind." + ) + + + # Check if one of the arrays may contain arbitrary objects + contains_object = ar1.dtype.hasobject or ar2.dtype.hasobject + + # This code is run when + # a) the first condition is true, making the code significantly faster + # b) the second condition is true (i.e. `ar1` or `ar2` may contain + # arbitrary objects), since then sorting is not guaranteed to work + if len(ar2) < 10 * len(ar1) ** 0.145 or contains_object: + if invert: + mask = np.ones(len(ar1), dtype=bool) + for a in ar2: + mask &= (ar1 != a) + else: + mask = np.zeros(len(ar1), dtype=bool) + for a in ar2: + mask |= (ar1 == a) + return mask + + # Otherwise use sorting + if not assume_unique: + ar1, rev_idx = np.unique(ar1, return_inverse=True) + ar2 = np.unique(ar2) + + ar = np.concatenate((ar1, ar2)) + # We need this to be a stable sort, so always use 'mergesort' + # here. The values from the first array should always come before + # the values from the second array. + order = ar.argsort(kind='mergesort') + sar = ar[order] + if invert: + bool_ar = (sar[1:] != sar[:-1]) + else: + bool_ar = (sar[1:] == sar[:-1]) + flag = np.concatenate((bool_ar, [invert])) + ret = np.empty(ar.shape, dtype=bool) + ret[order] = flag + + if assume_unique: + return ret[:len(ar1)] + else: + return ret[rev_idx] + + +def _isin_dispatcher(element, test_elements, assume_unique=None, invert=None, + *, kind=None): + return (element, test_elements) + + +@array_function_dispatch(_isin_dispatcher) +def isin(element, test_elements, assume_unique=False, invert=False, *, + kind=None): + """ + Calculates ``element in test_elements``, broadcasting over `element` only. + Returns a boolean array of the same shape as `element` that is True + where an element of `element` is in `test_elements` and False otherwise. + + Parameters + ---------- + element : array_like + Input array. + test_elements : array_like + The values against which to test each value of `element`. + This argument is flattened if it is an array or array_like. + See notes for behavior with non-array-like parameters. + assume_unique : bool, optional + If True, the input arrays are both assumed to be unique, which + can speed up the calculation. Default is False. + invert : bool, optional + If True, the values in the returned array are inverted, as if + calculating `element not in test_elements`. Default is False. + ``np.isin(a, b, invert=True)`` is equivalent to (but faster + than) ``np.invert(np.isin(a, b))``. + kind : {None, 'sort', 'table'}, optional + The algorithm to use. This will not affect the final result, + but will affect the speed and memory use. The default, None, + will select automatically based on memory considerations. + + * If 'sort', will use a mergesort-based approach. This will have + a memory usage of roughly 6 times the sum of the sizes of + `ar1` and `ar2`, not accounting for size of dtypes. + * If 'table', will use a lookup table approach similar + to a counting sort. This is only available for boolean and + integer arrays. This will have a memory usage of the + size of `ar1` plus the max-min value of `ar2`. `assume_unique` + has no effect when the 'table' option is used. + * If None, will automatically choose 'table' if + the required memory allocation is less than or equal to + 6 times the sum of the sizes of `ar1` and `ar2`, + otherwise will use 'sort'. This is done to not use + a large amount of memory by default, even though + 'table' may be faster in most cases. If 'table' is chosen, + `assume_unique` will have no effect. + + + Returns + ------- + isin : ndarray, bool + Has the same shape as `element`. The values `element[isin]` + are in `test_elements`. + + See Also + -------- + in1d : Flattened version of this function. + numpy.lib.arraysetops : Module with a number of other functions for + performing set operations on arrays. + + Notes + ----- + + `isin` is an element-wise function version of the python keyword `in`. + ``isin(a, b)`` is roughly equivalent to + ``np.array([item in b for item in a])`` if `a` and `b` are 1-D sequences. + + `element` and `test_elements` are converted to arrays if they are not + already. If `test_elements` is a set (or other non-sequence collection) + it will be converted to an object array with one element, rather than an + array of the values contained in `test_elements`. This is a consequence + of the `array` constructor's way of handling non-sequence collections. + Converting the set to a list usually gives the desired behavior. + + Using ``kind='table'`` tends to be faster than `kind='sort'` if the + following relationship is true: + ``log10(len(ar2)) > (log10(max(ar2)-min(ar2)) - 2.27) / 0.927``, + but may use greater memory. The default value for `kind` will + be automatically selected based only on memory usage, so one may + manually set ``kind='table'`` if memory constraints can be relaxed. + + .. versionadded:: 1.13.0 + + Examples + -------- + >>> element = 2*np.arange(4).reshape((2, 2)) + >>> element + array([[0, 2], + [4, 6]]) + >>> test_elements = [1, 2, 4, 8] + >>> mask = np.isin(element, test_elements) + >>> mask + array([[False, True], + [ True, False]]) + >>> element[mask] + array([2, 4]) + + The indices of the matched values can be obtained with `nonzero`: + + >>> np.nonzero(mask) + (array([0, 1]), array([1, 0])) + + The test can also be inverted: + + >>> mask = np.isin(element, test_elements, invert=True) + >>> mask + array([[ True, False], + [False, True]]) + >>> element[mask] + array([0, 6]) + + Because of how `array` handles sets, the following does not + work as expected: + + >>> test_set = {1, 2, 4, 8} + >>> np.isin(element, test_set) + array([[False, False], + [False, False]]) + + Casting the set to a list gives the expected result: + + >>> np.isin(element, list(test_set)) + array([[False, True], + [ True, False]]) + """ + element = np.asarray(element) + return in1d(element, test_elements, assume_unique=assume_unique, + invert=invert, kind=kind).reshape(element.shape) + + +def _union1d_dispatcher(ar1, ar2): + return (ar1, ar2) + + +@array_function_dispatch(_union1d_dispatcher) +def union1d(ar1, ar2): + """ + Find the union of two arrays. + + Return the unique, sorted array of values that are in either of the two + input arrays. + + Parameters + ---------- + ar1, ar2 : array_like + Input arrays. They are flattened if they are not already 1D. + + Returns + ------- + union1d : ndarray + Unique, sorted union of the input arrays. + + See Also + -------- + numpy.lib.arraysetops : Module with a number of other functions for + performing set operations on arrays. + + Examples + -------- + >>> np.union1d([-1, 0, 1], [-2, 0, 2]) + array([-2, -1, 0, 1, 2]) + + To find the union of more than two arrays, use functools.reduce: + + >>> from functools import reduce + >>> reduce(np.union1d, ([1, 3, 4, 3], [3, 1, 2, 1], [6, 3, 4, 2])) + array([1, 2, 3, 4, 6]) + """ + return unique(np.concatenate((ar1, ar2), axis=None)) + + +def _setdiff1d_dispatcher(ar1, ar2, assume_unique=None): + return (ar1, ar2) + + +@array_function_dispatch(_setdiff1d_dispatcher) +def setdiff1d(ar1, ar2, assume_unique=False): + """ + Find the set difference of two arrays. + + Return the unique values in `ar1` that are not in `ar2`. + + Parameters + ---------- + ar1 : array_like + Input array. + ar2 : array_like + Input comparison array. + assume_unique : bool + If True, the input arrays are both assumed to be unique, which + can speed up the calculation. Default is False. + + Returns + ------- + setdiff1d : ndarray + 1D array of values in `ar1` that are not in `ar2`. The result + is sorted when `assume_unique=False`, but otherwise only sorted + if the input is sorted. + + See Also + -------- + numpy.lib.arraysetops : Module with a number of other functions for + performing set operations on arrays. + + Examples + -------- + >>> a = np.array([1, 2, 3, 2, 4, 1]) + >>> b = np.array([3, 4, 5, 6]) + >>> np.setdiff1d(a, b) + array([1, 2]) + + """ + if assume_unique: + ar1 = np.asarray(ar1).ravel() + else: + ar1 = unique(ar1) + ar2 = unique(ar2) + return ar1[in1d(ar1, ar2, assume_unique=True, invert=True)] diff --git a/lib/python3.12/site-packages/numpy/lib/arraysetops.pyi b/lib/python3.12/site-packages/numpy/lib/arraysetops.pyi new file mode 100644 index 0000000000000000000000000000000000000000..7075c334ea7dbcffa435bb1e271e721990132933 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/arraysetops.pyi @@ -0,0 +1,362 @@ +from typing import ( + Literal as L, + Any, + TypeVar, + overload, + SupportsIndex, +) + +from numpy import ( + generic, + number, + bool_, + ushort, + ubyte, + uintc, + uint, + ulonglong, + short, + int8, + byte, + intc, + int_, + intp, + longlong, + half, + single, + double, + longdouble, + csingle, + cdouble, + clongdouble, + timedelta64, + datetime64, + object_, + str_, + bytes_, + void, +) + +from numpy._typing import ( + ArrayLike, + NDArray, + _ArrayLike, + _ArrayLikeBool_co, + _ArrayLikeDT64_co, + _ArrayLikeTD64_co, + _ArrayLikeObject_co, + _ArrayLikeNumber_co, +) + +_SCT = TypeVar("_SCT", bound=generic) +_NumberType = TypeVar("_NumberType", bound=number[Any]) + +# Explicitly set all allowed values to prevent accidental castings to +# abstract dtypes (their common super-type). +# +# Only relevant if two or more arguments are parametrized, (e.g. `setdiff1d`) +# which could result in, for example, `int64` and `float64`producing a +# `number[_64Bit]` array +_SCTNoCast = TypeVar( + "_SCTNoCast", + bool_, + ushort, + ubyte, + uintc, + uint, + ulonglong, + short, + byte, + intc, + int_, + longlong, + half, + single, + double, + longdouble, + csingle, + cdouble, + clongdouble, + timedelta64, + datetime64, + object_, + str_, + bytes_, + void, +) + +__all__: list[str] + +@overload +def ediff1d( + ary: _ArrayLikeBool_co, + to_end: None | ArrayLike = ..., + to_begin: None | ArrayLike = ..., +) -> NDArray[int8]: ... +@overload +def ediff1d( + ary: _ArrayLike[_NumberType], + to_end: None | ArrayLike = ..., + to_begin: None | ArrayLike = ..., +) -> NDArray[_NumberType]: ... +@overload +def ediff1d( + ary: _ArrayLikeNumber_co, + to_end: None | ArrayLike = ..., + to_begin: None | ArrayLike = ..., +) -> NDArray[Any]: ... +@overload +def ediff1d( + ary: _ArrayLikeDT64_co | _ArrayLikeTD64_co, + to_end: None | ArrayLike = ..., + to_begin: None | ArrayLike = ..., +) -> NDArray[timedelta64]: ... +@overload +def ediff1d( + ary: _ArrayLikeObject_co, + to_end: None | ArrayLike = ..., + to_begin: None | ArrayLike = ..., +) -> NDArray[object_]: ... + +@overload +def unique( + ar: _ArrayLike[_SCT], + return_index: L[False] = ..., + return_inverse: L[False] = ..., + return_counts: L[False] = ..., + axis: None | SupportsIndex = ..., + *, + equal_nan: bool = ..., +) -> NDArray[_SCT]: ... +@overload +def unique( + ar: ArrayLike, + return_index: L[False] = ..., + return_inverse: L[False] = ..., + return_counts: L[False] = ..., + axis: None | SupportsIndex = ..., + *, + equal_nan: bool = ..., +) -> NDArray[Any]: ... +@overload +def unique( + ar: _ArrayLike[_SCT], + return_index: L[True] = ..., + return_inverse: L[False] = ..., + return_counts: L[False] = ..., + axis: None | SupportsIndex = ..., + *, + equal_nan: bool = ..., +) -> tuple[NDArray[_SCT], NDArray[intp]]: ... +@overload +def unique( + ar: ArrayLike, + return_index: L[True] = ..., + return_inverse: L[False] = ..., + return_counts: L[False] = ..., + axis: None | SupportsIndex = ..., + *, + equal_nan: bool = ..., +) -> tuple[NDArray[Any], NDArray[intp]]: ... +@overload +def unique( + ar: _ArrayLike[_SCT], + return_index: L[False] = ..., + return_inverse: L[True] = ..., + return_counts: L[False] = ..., + axis: None | SupportsIndex = ..., + *, + equal_nan: bool = ..., +) -> tuple[NDArray[_SCT], NDArray[intp]]: ... +@overload +def unique( + ar: ArrayLike, + return_index: L[False] = ..., + return_inverse: L[True] = ..., + return_counts: L[False] = ..., + axis: None | SupportsIndex = ..., + *, + equal_nan: bool = ..., +) -> tuple[NDArray[Any], NDArray[intp]]: ... +@overload +def unique( + ar: _ArrayLike[_SCT], + return_index: L[False] = ..., + return_inverse: L[False] = ..., + return_counts: L[True] = ..., + axis: None | SupportsIndex = ..., + *, + equal_nan: bool = ..., +) -> tuple[NDArray[_SCT], NDArray[intp]]: ... +@overload +def unique( + ar: ArrayLike, + return_index: L[False] = ..., + return_inverse: L[False] = ..., + return_counts: L[True] = ..., + axis: None | SupportsIndex = ..., + *, + equal_nan: bool = ..., +) -> tuple[NDArray[Any], NDArray[intp]]: ... +@overload +def unique( + ar: _ArrayLike[_SCT], + return_index: L[True] = ..., + return_inverse: L[True] = ..., + return_counts: L[False] = ..., + axis: None | SupportsIndex = ..., + *, + equal_nan: bool = ..., +) -> tuple[NDArray[_SCT], NDArray[intp], NDArray[intp]]: ... +@overload +def unique( + ar: ArrayLike, + return_index: L[True] = ..., + return_inverse: L[True] = ..., + return_counts: L[False] = ..., + axis: None | SupportsIndex = ..., + *, + equal_nan: bool = ..., +) -> tuple[NDArray[Any], NDArray[intp], NDArray[intp]]: ... +@overload +def unique( + ar: _ArrayLike[_SCT], + return_index: L[True] = ..., + return_inverse: L[False] = ..., + return_counts: L[True] = ..., + axis: None | SupportsIndex = ..., + *, + equal_nan: bool = ..., +) -> tuple[NDArray[_SCT], NDArray[intp], NDArray[intp]]: ... +@overload +def unique( + ar: ArrayLike, + return_index: L[True] = ..., + return_inverse: L[False] = ..., + return_counts: L[True] = ..., + axis: None | SupportsIndex = ..., + *, + equal_nan: bool = ..., +) -> tuple[NDArray[Any], NDArray[intp], NDArray[intp]]: ... +@overload +def unique( + ar: _ArrayLike[_SCT], + return_index: L[False] = ..., + return_inverse: L[True] = ..., + return_counts: L[True] = ..., + axis: None | SupportsIndex = ..., + *, + equal_nan: bool = ..., +) -> tuple[NDArray[_SCT], NDArray[intp], NDArray[intp]]: ... +@overload +def unique( + ar: ArrayLike, + return_index: L[False] = ..., + return_inverse: L[True] = ..., + return_counts: L[True] = ..., + axis: None | SupportsIndex = ..., + *, + equal_nan: bool = ..., +) -> tuple[NDArray[Any], NDArray[intp], NDArray[intp]]: ... +@overload +def unique( + ar: _ArrayLike[_SCT], + return_index: L[True] = ..., + return_inverse: L[True] = ..., + return_counts: L[True] = ..., + axis: None | SupportsIndex = ..., + *, + equal_nan: bool = ..., +) -> tuple[NDArray[_SCT], NDArray[intp], NDArray[intp], NDArray[intp]]: ... +@overload +def unique( + ar: ArrayLike, + return_index: L[True] = ..., + return_inverse: L[True] = ..., + return_counts: L[True] = ..., + axis: None | SupportsIndex = ..., + *, + equal_nan: bool = ..., +) -> tuple[NDArray[Any], NDArray[intp], NDArray[intp], NDArray[intp]]: ... + +@overload +def intersect1d( + ar1: _ArrayLike[_SCTNoCast], + ar2: _ArrayLike[_SCTNoCast], + assume_unique: bool = ..., + return_indices: L[False] = ..., +) -> NDArray[_SCTNoCast]: ... +@overload +def intersect1d( + ar1: ArrayLike, + ar2: ArrayLike, + assume_unique: bool = ..., + return_indices: L[False] = ..., +) -> NDArray[Any]: ... +@overload +def intersect1d( + ar1: _ArrayLike[_SCTNoCast], + ar2: _ArrayLike[_SCTNoCast], + assume_unique: bool = ..., + return_indices: L[True] = ..., +) -> tuple[NDArray[_SCTNoCast], NDArray[intp], NDArray[intp]]: ... +@overload +def intersect1d( + ar1: ArrayLike, + ar2: ArrayLike, + assume_unique: bool = ..., + return_indices: L[True] = ..., +) -> tuple[NDArray[Any], NDArray[intp], NDArray[intp]]: ... + +@overload +def setxor1d( + ar1: _ArrayLike[_SCTNoCast], + ar2: _ArrayLike[_SCTNoCast], + assume_unique: bool = ..., +) -> NDArray[_SCTNoCast]: ... +@overload +def setxor1d( + ar1: ArrayLike, + ar2: ArrayLike, + assume_unique: bool = ..., +) -> NDArray[Any]: ... + +def in1d( + ar1: ArrayLike, + ar2: ArrayLike, + assume_unique: bool = ..., + invert: bool = ..., +) -> NDArray[bool_]: ... + +def isin( + element: ArrayLike, + test_elements: ArrayLike, + assume_unique: bool = ..., + invert: bool = ..., + *, + kind: None | str = ..., +) -> NDArray[bool_]: ... + +@overload +def union1d( + ar1: _ArrayLike[_SCTNoCast], + ar2: _ArrayLike[_SCTNoCast], +) -> NDArray[_SCTNoCast]: ... +@overload +def union1d( + ar1: ArrayLike, + ar2: ArrayLike, +) -> NDArray[Any]: ... + +@overload +def setdiff1d( + ar1: _ArrayLike[_SCTNoCast], + ar2: _ArrayLike[_SCTNoCast], + assume_unique: bool = ..., +) -> NDArray[_SCTNoCast]: ... +@overload +def setdiff1d( + ar1: ArrayLike, + ar2: ArrayLike, + assume_unique: bool = ..., +) -> NDArray[Any]: ... diff --git a/lib/python3.12/site-packages/numpy/lib/arrayterator.py b/lib/python3.12/site-packages/numpy/lib/arrayterator.py new file mode 100644 index 0000000000000000000000000000000000000000..b9ea21f8e49f60461416962fc6e2a2ca625c04cd --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/arrayterator.py @@ -0,0 +1,219 @@ +""" +A buffered iterator for big arrays. + +This module solves the problem of iterating over a big file-based array +without having to read it into memory. The `Arrayterator` class wraps +an array object, and when iterated it will return sub-arrays with at most +a user-specified number of elements. + +""" +from operator import mul +from functools import reduce + +__all__ = ['Arrayterator'] + + +class Arrayterator: + """ + Buffered iterator for big arrays. + + `Arrayterator` creates a buffered iterator for reading big arrays in small + contiguous blocks. The class is useful for objects stored in the + file system. It allows iteration over the object *without* reading + everything in memory; instead, small blocks are read and iterated over. + + `Arrayterator` can be used with any object that supports multidimensional + slices. This includes NumPy arrays, but also variables from + Scientific.IO.NetCDF or pynetcdf for example. + + Parameters + ---------- + var : array_like + The object to iterate over. + buf_size : int, optional + The buffer size. If `buf_size` is supplied, the maximum amount of + data that will be read into memory is `buf_size` elements. + Default is None, which will read as many element as possible + into memory. + + Attributes + ---------- + var + buf_size + start + stop + step + shape + flat + + See Also + -------- + ndenumerate : Multidimensional array iterator. + flatiter : Flat array iterator. + memmap : Create a memory-map to an array stored in a binary file on disk. + + Notes + ----- + The algorithm works by first finding a "running dimension", along which + the blocks will be extracted. Given an array of dimensions + ``(d1, d2, ..., dn)``, e.g. if `buf_size` is smaller than ``d1``, the + first dimension will be used. If, on the other hand, + ``d1 < buf_size < d1*d2`` the second dimension will be used, and so on. + Blocks are extracted along this dimension, and when the last block is + returned the process continues from the next dimension, until all + elements have been read. + + Examples + -------- + >>> a = np.arange(3 * 4 * 5 * 6).reshape(3, 4, 5, 6) + >>> a_itor = np.lib.Arrayterator(a, 2) + >>> a_itor.shape + (3, 4, 5, 6) + + Now we can iterate over ``a_itor``, and it will return arrays of size + two. Since `buf_size` was smaller than any dimension, the first + dimension will be iterated over first: + + >>> for subarr in a_itor: + ... if not subarr.all(): + ... print(subarr, subarr.shape) # doctest: +SKIP + >>> # [[[[0 1]]]] (1, 1, 1, 2) + + """ + + def __init__(self, var, buf_size=None): + self.var = var + self.buf_size = buf_size + + self.start = [0 for dim in var.shape] + self.stop = [dim for dim in var.shape] + self.step = [1 for dim in var.shape] + + def __getattr__(self, attr): + return getattr(self.var, attr) + + def __getitem__(self, index): + """ + Return a new arrayterator. + + """ + # Fix index, handling ellipsis and incomplete slices. + if not isinstance(index, tuple): + index = (index,) + fixed = [] + length, dims = len(index), self.ndim + for slice_ in index: + if slice_ is Ellipsis: + fixed.extend([slice(None)] * (dims-length+1)) + length = len(fixed) + elif isinstance(slice_, int): + fixed.append(slice(slice_, slice_+1, 1)) + else: + fixed.append(slice_) + index = tuple(fixed) + if len(index) < dims: + index += (slice(None),) * (dims-len(index)) + + # Return a new arrayterator object. + out = self.__class__(self.var, self.buf_size) + for i, (start, stop, step, slice_) in enumerate( + zip(self.start, self.stop, self.step, index)): + out.start[i] = start + (slice_.start or 0) + out.step[i] = step * (slice_.step or 1) + out.stop[i] = start + (slice_.stop or stop-start) + out.stop[i] = min(stop, out.stop[i]) + return out + + def __array__(self): + """ + Return corresponding data. + + """ + slice_ = tuple(slice(*t) for t in zip( + self.start, self.stop, self.step)) + return self.var[slice_] + + @property + def flat(self): + """ + A 1-D flat iterator for Arrayterator objects. + + This iterator returns elements of the array to be iterated over in + `Arrayterator` one by one. It is similar to `flatiter`. + + See Also + -------- + Arrayterator + flatiter + + Examples + -------- + >>> a = np.arange(3 * 4 * 5 * 6).reshape(3, 4, 5, 6) + >>> a_itor = np.lib.Arrayterator(a, 2) + + >>> for subarr in a_itor.flat: + ... if not subarr: + ... print(subarr, type(subarr)) + ... + 0 + + """ + for block in self: + yield from block.flat + + @property + def shape(self): + """ + The shape of the array to be iterated over. + + For an example, see `Arrayterator`. + + """ + return tuple(((stop-start-1)//step+1) for start, stop, step in + zip(self.start, self.stop, self.step)) + + def __iter__(self): + # Skip arrays with degenerate dimensions + if [dim for dim in self.shape if dim <= 0]: + return + + start = self.start[:] + stop = self.stop[:] + step = self.step[:] + ndims = self.var.ndim + + while True: + count = self.buf_size or reduce(mul, self.shape) + + # iterate over each dimension, looking for the + # running dimension (ie, the dimension along which + # the blocks will be built from) + rundim = 0 + for i in range(ndims-1, -1, -1): + # if count is zero we ran out of elements to read + # along higher dimensions, so we read only a single position + if count == 0: + stop[i] = start[i]+1 + elif count <= self.shape[i]: + # limit along this dimension + stop[i] = start[i] + count*step[i] + rundim = i + else: + # read everything along this dimension + stop[i] = self.stop[i] + stop[i] = min(self.stop[i], stop[i]) + count = count//self.shape[i] + + # yield a block + slice_ = tuple(slice(*t) for t in zip(start, stop, step)) + yield self.var[slice_] + + # Update start position, taking care of overflow to + # other dimensions + start[rundim] = stop[rundim] # start where we stopped + for i in range(ndims-1, 0, -1): + if start[i] >= self.stop[i]: + start[i] = self.start[i] + start[i-1] += self.step[i-1] + if start[0] >= self.stop[0]: + return diff --git a/lib/python3.12/site-packages/numpy/lib/arrayterator.pyi b/lib/python3.12/site-packages/numpy/lib/arrayterator.pyi new file mode 100644 index 0000000000000000000000000000000000000000..aa192fb7c40ffeaddc8b082d86755eb3722b8634 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/arrayterator.pyi @@ -0,0 +1,49 @@ +from collections.abc import Generator +from typing import ( + Any, + TypeVar, + Union, + overload, +) + +from numpy import ndarray, dtype, generic +from numpy._typing import DTypeLike + +# TODO: Set a shape bound once we've got proper shape support +_Shape = TypeVar("_Shape", bound=Any) +_DType = TypeVar("_DType", bound=dtype[Any]) +_ScalarType = TypeVar("_ScalarType", bound=generic) + +_Index = Union[ + Union[ellipsis, int, slice], + tuple[Union[ellipsis, int, slice], ...], +] + +__all__: list[str] + +# NOTE: In reality `Arrayterator` does not actually inherit from `ndarray`, +# but its ``__getattr__` method does wrap around the former and thus has +# access to all its methods + +class Arrayterator(ndarray[_Shape, _DType]): + var: ndarray[_Shape, _DType] # type: ignore[assignment] + buf_size: None | int + start: list[int] + stop: list[int] + step: list[int] + + @property # type: ignore[misc] + def shape(self) -> tuple[int, ...]: ... + @property + def flat( # type: ignore[override] + self: ndarray[Any, dtype[_ScalarType]] + ) -> Generator[_ScalarType, None, None]: ... + def __init__( + self, var: ndarray[_Shape, _DType], buf_size: None | int = ... + ) -> None: ... + @overload + def __array__(self, dtype: None = ...) -> ndarray[Any, _DType]: ... + @overload + def __array__(self, dtype: DTypeLike) -> ndarray[Any, dtype[Any]]: ... + def __getitem__(self, index: _Index) -> Arrayterator[Any, _DType]: ... + def __iter__(self) -> Generator[ndarray[Any, _DType], None, None]: ... diff --git a/lib/python3.12/site-packages/numpy/lib/format.py b/lib/python3.12/site-packages/numpy/lib/format.py new file mode 100644 index 0000000000000000000000000000000000000000..d5b3fbac23ab6e680510cbc3d47387cdee2c6048 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/format.py @@ -0,0 +1,976 @@ +""" +Binary serialization + +NPY format +========== + +A simple format for saving numpy arrays to disk with the full +information about them. + +The ``.npy`` format is the standard binary file format in NumPy for +persisting a *single* arbitrary NumPy array on disk. The format stores all +of the shape and dtype information necessary to reconstruct the array +correctly even on another machine with a different architecture. +The format is designed to be as simple as possible while achieving +its limited goals. + +The ``.npz`` format is the standard format for persisting *multiple* NumPy +arrays on disk. A ``.npz`` file is a zip file containing multiple ``.npy`` +files, one for each array. + +Capabilities +------------ + +- Can represent all NumPy arrays including nested record arrays and + object arrays. + +- Represents the data in its native binary form. + +- Supports Fortran-contiguous arrays directly. + +- Stores all of the necessary information to reconstruct the array + including shape and dtype on a machine of a different + architecture. Both little-endian and big-endian arrays are + supported, and a file with little-endian numbers will yield + a little-endian array on any machine reading the file. The + types are described in terms of their actual sizes. For example, + if a machine with a 64-bit C "long int" writes out an array with + "long ints", a reading machine with 32-bit C "long ints" will yield + an array with 64-bit integers. + +- Is straightforward to reverse engineer. Datasets often live longer than + the programs that created them. A competent developer should be + able to create a solution in their preferred programming language to + read most ``.npy`` files that they have been given without much + documentation. + +- Allows memory-mapping of the data. See `open_memmap`. + +- Can be read from a filelike stream object instead of an actual file. + +- Stores object arrays, i.e. arrays containing elements that are arbitrary + Python objects. Files with object arrays are not to be mmapable, but + can be read and written to disk. + +Limitations +----------- + +- Arbitrary subclasses of numpy.ndarray are not completely preserved. + Subclasses will be accepted for writing, but only the array data will + be written out. A regular numpy.ndarray object will be created + upon reading the file. + +.. warning:: + + Due to limitations in the interpretation of structured dtypes, dtypes + with fields with empty names will have the names replaced by 'f0', 'f1', + etc. Such arrays will not round-trip through the format entirely + accurately. The data is intact; only the field names will differ. We are + working on a fix for this. This fix will not require a change in the + file format. The arrays with such structures can still be saved and + restored, and the correct dtype may be restored by using the + ``loadedarray.view(correct_dtype)`` method. + +File extensions +--------------- + +We recommend using the ``.npy`` and ``.npz`` extensions for files saved +in this format. This is by no means a requirement; applications may wish +to use these file formats but use an extension specific to the +application. In the absence of an obvious alternative, however, +we suggest using ``.npy`` and ``.npz``. + +Version numbering +----------------- + +The version numbering of these formats is independent of NumPy version +numbering. If the format is upgraded, the code in `numpy.io` will still +be able to read and write Version 1.0 files. + +Format Version 1.0 +------------------ + +The first 6 bytes are a magic string: exactly ``\\x93NUMPY``. + +The next 1 byte is an unsigned byte: the major version number of the file +format, e.g. ``\\x01``. + +The next 1 byte is an unsigned byte: the minor version number of the file +format, e.g. ``\\x00``. Note: the version of the file format is not tied +to the version of the numpy package. + +The next 2 bytes form a little-endian unsigned short int: the length of +the header data HEADER_LEN. + +The next HEADER_LEN bytes form the header data describing the array's +format. It is an ASCII string which contains a Python literal expression +of a dictionary. It is terminated by a newline (``\\n``) and padded with +spaces (``\\x20``) to make the total of +``len(magic string) + 2 + len(length) + HEADER_LEN`` be evenly divisible +by 64 for alignment purposes. + +The dictionary contains three keys: + + "descr" : dtype.descr + An object that can be passed as an argument to the `numpy.dtype` + constructor to create the array's dtype. + "fortran_order" : bool + Whether the array data is Fortran-contiguous or not. Since + Fortran-contiguous arrays are a common form of non-C-contiguity, + we allow them to be written directly to disk for efficiency. + "shape" : tuple of int + The shape of the array. + +For repeatability and readability, the dictionary keys are sorted in +alphabetic order. This is for convenience only. A writer SHOULD implement +this if possible. A reader MUST NOT depend on this. + +Following the header comes the array data. If the dtype contains Python +objects (i.e. ``dtype.hasobject is True``), then the data is a Python +pickle of the array. Otherwise the data is the contiguous (either C- +or Fortran-, depending on ``fortran_order``) bytes of the array. +Consumers can figure out the number of bytes by multiplying the number +of elements given by the shape (noting that ``shape=()`` means there is +1 element) by ``dtype.itemsize``. + +Format Version 2.0 +------------------ + +The version 1.0 format only allowed the array header to have a total size of +65535 bytes. This can be exceeded by structured arrays with a large number of +columns. The version 2.0 format extends the header size to 4 GiB. +`numpy.save` will automatically save in 2.0 format if the data requires it, +else it will always use the more compatible 1.0 format. + +The description of the fourth element of the header therefore has become: +"The next 4 bytes form a little-endian unsigned int: the length of the header +data HEADER_LEN." + +Format Version 3.0 +------------------ + +This version replaces the ASCII string (which in practice was latin1) with +a utf8-encoded string, so supports structured types with any unicode field +names. + +Notes +----- +The ``.npy`` format, including motivation for creating it and a comparison of +alternatives, is described in the +:doc:`"npy-format" NEP `, however details have +evolved with time and this document is more current. + +""" +import numpy +import warnings +from numpy.lib.utils import safe_eval, drop_metadata +from numpy.compat import ( + isfileobj, os_fspath, pickle + ) + + +__all__ = [] + + +EXPECTED_KEYS = {'descr', 'fortran_order', 'shape'} +MAGIC_PREFIX = b'\x93NUMPY' +MAGIC_LEN = len(MAGIC_PREFIX) + 2 +ARRAY_ALIGN = 64 # plausible values are powers of 2 between 16 and 4096 +BUFFER_SIZE = 2**18 # size of buffer for reading npz files in bytes +# allow growth within the address space of a 64 bit machine along one axis +GROWTH_AXIS_MAX_DIGITS = 21 # = len(str(8*2**64-1)) hypothetical int1 dtype + +# difference between version 1.0 and 2.0 is a 4 byte (I) header length +# instead of 2 bytes (H) allowing storage of large structured arrays +_header_size_info = { + (1, 0): (' 255: + raise ValueError("major version must be 0 <= major < 256") + if minor < 0 or minor > 255: + raise ValueError("minor version must be 0 <= minor < 256") + return MAGIC_PREFIX + bytes([major, minor]) + +def read_magic(fp): + """ Read the magic string to get the version of the file format. + + Parameters + ---------- + fp : filelike object + + Returns + ------- + major : int + minor : int + """ + magic_str = _read_bytes(fp, MAGIC_LEN, "magic string") + if magic_str[:-2] != MAGIC_PREFIX: + msg = "the magic string is not correct; expected %r, got %r" + raise ValueError(msg % (MAGIC_PREFIX, magic_str[:-2])) + major, minor = magic_str[-2:] + return major, minor + + +def dtype_to_descr(dtype): + """ + Get a serializable descriptor from the dtype. + + The .descr attribute of a dtype object cannot be round-tripped through + the dtype() constructor. Simple types, like dtype('float32'), have + a descr which looks like a record array with one field with '' as + a name. The dtype() constructor interprets this as a request to give + a default name. Instead, we construct descriptor that can be passed to + dtype(). + + Parameters + ---------- + dtype : dtype + The dtype of the array that will be written to disk. + + Returns + ------- + descr : object + An object that can be passed to `numpy.dtype()` in order to + replicate the input dtype. + + """ + # NOTE: that drop_metadata may not return the right dtype e.g. for user + # dtypes. In that case our code below would fail the same, though. + new_dtype = drop_metadata(dtype) + if new_dtype is not dtype: + warnings.warn("metadata on a dtype is not saved to an npy/npz. " + "Use another format (such as pickle) to store it.", + UserWarning, stacklevel=2) + if dtype.names is not None: + # This is a record array. The .descr is fine. XXX: parts of the + # record array with an empty name, like padding bytes, still get + # fiddled with. This needs to be fixed in the C implementation of + # dtype(). + return dtype.descr + else: + return dtype.str + +def descr_to_dtype(descr): + """ + Returns a dtype based off the given description. + + This is essentially the reverse of `dtype_to_descr()`. It will remove + the valueless padding fields created by, i.e. simple fields like + dtype('float32'), and then convert the description to its corresponding + dtype. + + Parameters + ---------- + descr : object + The object retrieved by dtype.descr. Can be passed to + `numpy.dtype()` in order to replicate the input dtype. + + Returns + ------- + dtype : dtype + The dtype constructed by the description. + + """ + if isinstance(descr, str): + # No padding removal needed + return numpy.dtype(descr) + elif isinstance(descr, tuple): + # subtype, will always have a shape descr[1] + dt = descr_to_dtype(descr[0]) + return numpy.dtype((dt, descr[1])) + + titles = [] + names = [] + formats = [] + offsets = [] + offset = 0 + for field in descr: + if len(field) == 2: + name, descr_str = field + dt = descr_to_dtype(descr_str) + else: + name, descr_str, shape = field + dt = numpy.dtype((descr_to_dtype(descr_str), shape)) + + # Ignore padding bytes, which will be void bytes with '' as name + # Once support for blank names is removed, only "if name == ''" needed) + is_pad = (name == '' and dt.type is numpy.void and dt.names is None) + if not is_pad: + title, name = name if isinstance(name, tuple) else (None, name) + titles.append(title) + names.append(name) + formats.append(dt) + offsets.append(offset) + offset += dt.itemsize + + return numpy.dtype({'names': names, 'formats': formats, 'titles': titles, + 'offsets': offsets, 'itemsize': offset}) + +def header_data_from_array_1_0(array): + """ Get the dictionary of header metadata from a numpy.ndarray. + + Parameters + ---------- + array : numpy.ndarray + + Returns + ------- + d : dict + This has the appropriate entries for writing its string representation + to the header of the file. + """ + d = {'shape': array.shape} + if array.flags.c_contiguous: + d['fortran_order'] = False + elif array.flags.f_contiguous: + d['fortran_order'] = True + else: + # Totally non-contiguous data. We will have to make it C-contiguous + # before writing. Note that we need to test for C_CONTIGUOUS first + # because a 1-D array is both C_CONTIGUOUS and F_CONTIGUOUS. + d['fortran_order'] = False + + d['descr'] = dtype_to_descr(array.dtype) + return d + + +def _wrap_header(header, version): + """ + Takes a stringified header, and attaches the prefix and padding to it + """ + import struct + assert version is not None + fmt, encoding = _header_size_info[version] + header = header.encode(encoding) + hlen = len(header) + 1 + padlen = ARRAY_ALIGN - ((MAGIC_LEN + struct.calcsize(fmt) + hlen) % ARRAY_ALIGN) + try: + header_prefix = magic(*version) + struct.pack(fmt, hlen + padlen) + except struct.error: + msg = "Header length {} too big for version={}".format(hlen, version) + raise ValueError(msg) from None + + # Pad the header with spaces and a final newline such that the magic + # string, the header-length short and the header are aligned on a + # ARRAY_ALIGN byte boundary. This supports memory mapping of dtypes + # aligned up to ARRAY_ALIGN on systems like Linux where mmap() + # offset must be page-aligned (i.e. the beginning of the file). + return header_prefix + header + b' '*padlen + b'\n' + + +def _wrap_header_guess_version(header): + """ + Like `_wrap_header`, but chooses an appropriate version given the contents + """ + try: + return _wrap_header(header, (1, 0)) + except ValueError: + pass + + try: + ret = _wrap_header(header, (2, 0)) + except UnicodeEncodeError: + pass + else: + warnings.warn("Stored array in format 2.0. It can only be" + "read by NumPy >= 1.9", UserWarning, stacklevel=2) + return ret + + header = _wrap_header(header, (3, 0)) + warnings.warn("Stored array in format 3.0. It can only be " + "read by NumPy >= 1.17", UserWarning, stacklevel=2) + return header + + +def _write_array_header(fp, d, version=None): + """ Write the header for an array and returns the version used + + Parameters + ---------- + fp : filelike object + d : dict + This has the appropriate entries for writing its string representation + to the header of the file. + version : tuple or None + None means use oldest that works. Providing an explicit version will + raise a ValueError if the format does not allow saving this data. + Default: None + """ + header = ["{"] + for key, value in sorted(d.items()): + # Need to use repr here, since we eval these when reading + header.append("'%s': %s, " % (key, repr(value))) + header.append("}") + header = "".join(header) + + # Add some spare space so that the array header can be modified in-place + # when changing the array size, e.g. when growing it by appending data at + # the end. + shape = d['shape'] + header += " " * ((GROWTH_AXIS_MAX_DIGITS - len(repr( + shape[-1 if d['fortran_order'] else 0] + ))) if len(shape) > 0 else 0) + + if version is None: + header = _wrap_header_guess_version(header) + else: + header = _wrap_header(header, version) + fp.write(header) + +def write_array_header_1_0(fp, d): + """ Write the header for an array using the 1.0 format. + + Parameters + ---------- + fp : filelike object + d : dict + This has the appropriate entries for writing its string + representation to the header of the file. + """ + _write_array_header(fp, d, (1, 0)) + + +def write_array_header_2_0(fp, d): + """ Write the header for an array using the 2.0 format. + The 2.0 format allows storing very large structured arrays. + + .. versionadded:: 1.9.0 + + Parameters + ---------- + fp : filelike object + d : dict + This has the appropriate entries for writing its string + representation to the header of the file. + """ + _write_array_header(fp, d, (2, 0)) + +def read_array_header_1_0(fp, max_header_size=_MAX_HEADER_SIZE): + """ + Read an array header from a filelike object using the 1.0 file format + version. + + This will leave the file object located just after the header. + + Parameters + ---------- + fp : filelike object + A file object or something with a `.read()` method like a file. + + Returns + ------- + shape : tuple of int + The shape of the array. + fortran_order : bool + The array data will be written out directly if it is either + C-contiguous or Fortran-contiguous. Otherwise, it will be made + contiguous before writing it out. + dtype : dtype + The dtype of the file's data. + max_header_size : int, optional + Maximum allowed size of the header. Large headers may not be safe + to load securely and thus require explicitly passing a larger value. + See :py:func:`ast.literal_eval()` for details. + + Raises + ------ + ValueError + If the data is invalid. + + """ + return _read_array_header( + fp, version=(1, 0), max_header_size=max_header_size) + +def read_array_header_2_0(fp, max_header_size=_MAX_HEADER_SIZE): + """ + Read an array header from a filelike object using the 2.0 file format + version. + + This will leave the file object located just after the header. + + .. versionadded:: 1.9.0 + + Parameters + ---------- + fp : filelike object + A file object or something with a `.read()` method like a file. + max_header_size : int, optional + Maximum allowed size of the header. Large headers may not be safe + to load securely and thus require explicitly passing a larger value. + See :py:func:`ast.literal_eval()` for details. + + Returns + ------- + shape : tuple of int + The shape of the array. + fortran_order : bool + The array data will be written out directly if it is either + C-contiguous or Fortran-contiguous. Otherwise, it will be made + contiguous before writing it out. + dtype : dtype + The dtype of the file's data. + + Raises + ------ + ValueError + If the data is invalid. + + """ + return _read_array_header( + fp, version=(2, 0), max_header_size=max_header_size) + + +def _filter_header(s): + """Clean up 'L' in npz header ints. + + Cleans up the 'L' in strings representing integers. Needed to allow npz + headers produced in Python2 to be read in Python3. + + Parameters + ---------- + s : string + Npy file header. + + Returns + ------- + header : str + Cleaned up header. + + """ + import tokenize + from io import StringIO + + tokens = [] + last_token_was_number = False + for token in tokenize.generate_tokens(StringIO(s).readline): + token_type = token[0] + token_string = token[1] + if (last_token_was_number and + token_type == tokenize.NAME and + token_string == "L"): + continue + else: + tokens.append(token) + last_token_was_number = (token_type == tokenize.NUMBER) + return tokenize.untokenize(tokens) + + +def _read_array_header(fp, version, max_header_size=_MAX_HEADER_SIZE): + """ + see read_array_header_1_0 + """ + # Read an unsigned, little-endian short int which has the length of the + # header. + import struct + hinfo = _header_size_info.get(version) + if hinfo is None: + raise ValueError("Invalid version {!r}".format(version)) + hlength_type, encoding = hinfo + + hlength_str = _read_bytes(fp, struct.calcsize(hlength_type), "array header length") + header_length = struct.unpack(hlength_type, hlength_str)[0] + header = _read_bytes(fp, header_length, "array header") + header = header.decode(encoding) + if len(header) > max_header_size: + raise ValueError( + f"Header info length ({len(header)}) is large and may not be safe " + "to load securely.\n" + "To allow loading, adjust `max_header_size` or fully trust " + "the `.npy` file using `allow_pickle=True`.\n" + "For safety against large resource use or crashes, sandboxing " + "may be necessary.") + + # The header is a pretty-printed string representation of a literal + # Python dictionary with trailing newlines padded to a ARRAY_ALIGN byte + # boundary. The keys are strings. + # "shape" : tuple of int + # "fortran_order" : bool + # "descr" : dtype.descr + # Versions (2, 0) and (1, 0) could have been created by a Python 2 + # implementation before header filtering was implemented. + # + # For performance reasons, we try without _filter_header first though + try: + d = safe_eval(header) + except SyntaxError as e: + if version <= (2, 0): + header = _filter_header(header) + try: + d = safe_eval(header) + except SyntaxError as e2: + msg = "Cannot parse header: {!r}" + raise ValueError(msg.format(header)) from e2 + else: + warnings.warn( + "Reading `.npy` or `.npz` file required additional " + "header parsing as it was created on Python 2. Save the " + "file again to speed up loading and avoid this warning.", + UserWarning, stacklevel=4) + else: + msg = "Cannot parse header: {!r}" + raise ValueError(msg.format(header)) from e + if not isinstance(d, dict): + msg = "Header is not a dictionary: {!r}" + raise ValueError(msg.format(d)) + + if EXPECTED_KEYS != d.keys(): + keys = sorted(d.keys()) + msg = "Header does not contain the correct keys: {!r}" + raise ValueError(msg.format(keys)) + + # Sanity-check the values. + if (not isinstance(d['shape'], tuple) or + not all(isinstance(x, int) for x in d['shape'])): + msg = "shape is not valid: {!r}" + raise ValueError(msg.format(d['shape'])) + if not isinstance(d['fortran_order'], bool): + msg = "fortran_order is not a valid bool: {!r}" + raise ValueError(msg.format(d['fortran_order'])) + try: + dtype = descr_to_dtype(d['descr']) + except TypeError as e: + msg = "descr is not a valid dtype descriptor: {!r}" + raise ValueError(msg.format(d['descr'])) from e + + return d['shape'], d['fortran_order'], dtype + +def write_array(fp, array, version=None, allow_pickle=True, pickle_kwargs=None): + """ + Write an array to an NPY file, including a header. + + If the array is neither C-contiguous nor Fortran-contiguous AND the + file_like object is not a real file object, this function will have to + copy data in memory. + + Parameters + ---------- + fp : file_like object + An open, writable file object, or similar object with a + ``.write()`` method. + array : ndarray + The array to write to disk. + version : (int, int) or None, optional + The version number of the format. None means use the oldest + supported version that is able to store the data. Default: None + allow_pickle : bool, optional + Whether to allow writing pickled data. Default: True + pickle_kwargs : dict, optional + Additional keyword arguments to pass to pickle.dump, excluding + 'protocol'. These are only useful when pickling objects in object + arrays on Python 3 to Python 2 compatible format. + + Raises + ------ + ValueError + If the array cannot be persisted. This includes the case of + allow_pickle=False and array being an object array. + Various other errors + If the array contains Python objects as part of its dtype, the + process of pickling them may raise various errors if the objects + are not picklable. + + """ + _check_version(version) + _write_array_header(fp, header_data_from_array_1_0(array), version) + + if array.itemsize == 0: + buffersize = 0 + else: + # Set buffer size to 16 MiB to hide the Python loop overhead. + buffersize = max(16 * 1024 ** 2 // array.itemsize, 1) + + if array.dtype.hasobject: + # We contain Python objects so we cannot write out the data + # directly. Instead, we will pickle it out + if not allow_pickle: + raise ValueError("Object arrays cannot be saved when " + "allow_pickle=False") + if pickle_kwargs is None: + pickle_kwargs = {} + pickle.dump(array, fp, protocol=3, **pickle_kwargs) + elif array.flags.f_contiguous and not array.flags.c_contiguous: + if isfileobj(fp): + array.T.tofile(fp) + else: + for chunk in numpy.nditer( + array, flags=['external_loop', 'buffered', 'zerosize_ok'], + buffersize=buffersize, order='F'): + fp.write(chunk.tobytes('C')) + else: + if isfileobj(fp): + array.tofile(fp) + else: + for chunk in numpy.nditer( + array, flags=['external_loop', 'buffered', 'zerosize_ok'], + buffersize=buffersize, order='C'): + fp.write(chunk.tobytes('C')) + + +def read_array(fp, allow_pickle=False, pickle_kwargs=None, *, + max_header_size=_MAX_HEADER_SIZE): + """ + Read an array from an NPY file. + + Parameters + ---------- + fp : file_like object + If this is not a real file object, then this may take extra memory + and time. + allow_pickle : bool, optional + Whether to allow writing pickled data. Default: False + + .. versionchanged:: 1.16.3 + Made default False in response to CVE-2019-6446. + + pickle_kwargs : dict + Additional keyword arguments to pass to pickle.load. These are only + useful when loading object arrays saved on Python 2 when using + Python 3. + max_header_size : int, optional + Maximum allowed size of the header. Large headers may not be safe + to load securely and thus require explicitly passing a larger value. + See :py:func:`ast.literal_eval()` for details. + This option is ignored when `allow_pickle` is passed. In that case + the file is by definition trusted and the limit is unnecessary. + + Returns + ------- + array : ndarray + The array from the data on disk. + + Raises + ------ + ValueError + If the data is invalid, or allow_pickle=False and the file contains + an object array. + + """ + if allow_pickle: + # Effectively ignore max_header_size, since `allow_pickle` indicates + # that the input is fully trusted. + max_header_size = 2**64 + + version = read_magic(fp) + _check_version(version) + shape, fortran_order, dtype = _read_array_header( + fp, version, max_header_size=max_header_size) + if len(shape) == 0: + count = 1 + else: + count = numpy.multiply.reduce(shape, dtype=numpy.int64) + + # Now read the actual data. + if dtype.hasobject: + # The array contained Python objects. We need to unpickle the data. + if not allow_pickle: + raise ValueError("Object arrays cannot be loaded when " + "allow_pickle=False") + if pickle_kwargs is None: + pickle_kwargs = {} + try: + array = pickle.load(fp, **pickle_kwargs) + except UnicodeError as err: + # Friendlier error message + raise UnicodeError("Unpickling a python object failed: %r\n" + "You may need to pass the encoding= option " + "to numpy.load" % (err,)) from err + else: + if isfileobj(fp): + # We can use the fast fromfile() function. + array = numpy.fromfile(fp, dtype=dtype, count=count) + else: + # This is not a real file. We have to read it the + # memory-intensive way. + # crc32 module fails on reads greater than 2 ** 32 bytes, + # breaking large reads from gzip streams. Chunk reads to + # BUFFER_SIZE bytes to avoid issue and reduce memory overhead + # of the read. In non-chunked case count < max_read_count, so + # only one read is performed. + + # Use np.ndarray instead of np.empty since the latter does + # not correctly instantiate zero-width string dtypes; see + # https://github.com/numpy/numpy/pull/6430 + array = numpy.ndarray(count, dtype=dtype) + + if dtype.itemsize > 0: + # If dtype.itemsize == 0 then there's nothing more to read + max_read_count = BUFFER_SIZE // min(BUFFER_SIZE, dtype.itemsize) + + for i in range(0, count, max_read_count): + read_count = min(max_read_count, count - i) + read_size = int(read_count * dtype.itemsize) + data = _read_bytes(fp, read_size, "array data") + array[i:i+read_count] = numpy.frombuffer(data, dtype=dtype, + count=read_count) + + if fortran_order: + array.shape = shape[::-1] + array = array.transpose() + else: + array.shape = shape + + return array + + +def open_memmap(filename, mode='r+', dtype=None, shape=None, + fortran_order=False, version=None, *, + max_header_size=_MAX_HEADER_SIZE): + """ + Open a .npy file as a memory-mapped array. + + This may be used to read an existing file or create a new one. + + Parameters + ---------- + filename : str or path-like + The name of the file on disk. This may *not* be a file-like + object. + mode : str, optional + The mode in which to open the file; the default is 'r+'. In + addition to the standard file modes, 'c' is also accepted to mean + "copy on write." See `memmap` for the available mode strings. + dtype : data-type, optional + The data type of the array if we are creating a new file in "write" + mode, if not, `dtype` is ignored. The default value is None, which + results in a data-type of `float64`. + shape : tuple of int + The shape of the array if we are creating a new file in "write" + mode, in which case this parameter is required. Otherwise, this + parameter is ignored and is thus optional. + fortran_order : bool, optional + Whether the array should be Fortran-contiguous (True) or + C-contiguous (False, the default) if we are creating a new file in + "write" mode. + version : tuple of int (major, minor) or None + If the mode is a "write" mode, then this is the version of the file + format used to create the file. None means use the oldest + supported version that is able to store the data. Default: None + max_header_size : int, optional + Maximum allowed size of the header. Large headers may not be safe + to load securely and thus require explicitly passing a larger value. + See :py:func:`ast.literal_eval()` for details. + + Returns + ------- + marray : memmap + The memory-mapped array. + + Raises + ------ + ValueError + If the data or the mode is invalid. + OSError + If the file is not found or cannot be opened correctly. + + See Also + -------- + numpy.memmap + + """ + if isfileobj(filename): + raise ValueError("Filename must be a string or a path-like object." + " Memmap cannot use existing file handles.") + + if 'w' in mode: + # We are creating the file, not reading it. + # Check if we ought to create the file. + _check_version(version) + # Ensure that the given dtype is an authentic dtype object rather + # than just something that can be interpreted as a dtype object. + dtype = numpy.dtype(dtype) + if dtype.hasobject: + msg = "Array can't be memory-mapped: Python objects in dtype." + raise ValueError(msg) + d = dict( + descr=dtype_to_descr(dtype), + fortran_order=fortran_order, + shape=shape, + ) + # If we got here, then it should be safe to create the file. + with open(os_fspath(filename), mode+'b') as fp: + _write_array_header(fp, d, version) + offset = fp.tell() + else: + # Read the header of the file first. + with open(os_fspath(filename), 'rb') as fp: + version = read_magic(fp) + _check_version(version) + + shape, fortran_order, dtype = _read_array_header( + fp, version, max_header_size=max_header_size) + if dtype.hasobject: + msg = "Array can't be memory-mapped: Python objects in dtype." + raise ValueError(msg) + offset = fp.tell() + + if fortran_order: + order = 'F' + else: + order = 'C' + + # We need to change a write-only mode to a read-write mode since we've + # already written data to the file. + if mode == 'w+': + mode = 'r+' + + marray = numpy.memmap(filename, dtype=dtype, shape=shape, order=order, + mode=mode, offset=offset) + + return marray + + +def _read_bytes(fp, size, error_template="ran out of data"): + """ + Read from file-like object until size bytes are read. + Raises ValueError if not EOF is encountered before size bytes are read. + Non-blocking objects only supported if they derive from io objects. + + Required as e.g. ZipExtFile in python 2.6 can return less data than + requested. + """ + data = bytes() + while True: + # io files (default in python3) return None or raise on + # would-block, python2 file will truncate, probably nothing can be + # done about that. note that regular files can't be non-blocking + try: + r = fp.read(size - len(data)) + data += r + if len(r) == 0 or len(data) == size: + break + except BlockingIOError: + pass + if len(data) != size: + msg = "EOF: reading %s, expected %d bytes got %d" + raise ValueError(msg % (error_template, size, len(data))) + else: + return data diff --git a/lib/python3.12/site-packages/numpy/lib/format.pyi b/lib/python3.12/site-packages/numpy/lib/format.pyi new file mode 100644 index 0000000000000000000000000000000000000000..a4468f52f4646b8b9413f279b09f85cd201aaf51 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/format.pyi @@ -0,0 +1,22 @@ +from typing import Any, Literal, Final + +__all__: list[str] + +EXPECTED_KEYS: Final[set[str]] +MAGIC_PREFIX: Final[bytes] +MAGIC_LEN: Literal[8] +ARRAY_ALIGN: Literal[64] +BUFFER_SIZE: Literal[262144] # 2**18 + +def magic(major, minor): ... +def read_magic(fp): ... +def dtype_to_descr(dtype): ... +def descr_to_dtype(descr): ... +def header_data_from_array_1_0(array): ... +def write_array_header_1_0(fp, d): ... +def write_array_header_2_0(fp, d): ... +def read_array_header_1_0(fp): ... +def read_array_header_2_0(fp): ... +def write_array(fp, array, version=..., allow_pickle=..., pickle_kwargs=...): ... +def read_array(fp, allow_pickle=..., pickle_kwargs=...): ... +def open_memmap(filename, mode=..., dtype=..., shape=..., fortran_order=..., version=...): ... diff --git a/lib/python3.12/site-packages/numpy/lib/function_base.py b/lib/python3.12/site-packages/numpy/lib/function_base.py new file mode 100644 index 0000000000000000000000000000000000000000..a3dab04d3331132f75787a81b0237aab73169eb4 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/function_base.py @@ -0,0 +1,5733 @@ +import collections.abc +import functools +import re +import sys +import warnings + +from .._utils import set_module +import numpy as np +import numpy.core.numeric as _nx +from numpy.core import transpose +from numpy.core.numeric import ( + ones, zeros_like, arange, concatenate, array, asarray, asanyarray, empty, + ndarray, take, dot, where, intp, integer, isscalar, absolute + ) +from numpy.core.umath import ( + pi, add, arctan2, frompyfunc, cos, less_equal, sqrt, sin, + mod, exp, not_equal, subtract + ) +from numpy.core.fromnumeric import ( + ravel, nonzero, partition, mean, any, sum + ) +from numpy.core.numerictypes import typecodes +from numpy.core import overrides +from numpy.core.function_base import add_newdoc +from numpy.lib.twodim_base import diag +from numpy.core.multiarray import ( + _place, add_docstring, bincount, normalize_axis_index, _monotonicity, + interp as compiled_interp, interp_complex as compiled_interp_complex + ) +from numpy.core.umath import _add_newdoc_ufunc as add_newdoc_ufunc + +import builtins + +# needed in this module for compatibility +from numpy.lib.histograms import histogram, histogramdd # noqa: F401 + + +array_function_dispatch = functools.partial( + overrides.array_function_dispatch, module='numpy') + + +__all__ = [ + 'select', 'piecewise', 'trim_zeros', 'copy', 'iterable', 'percentile', + 'diff', 'gradient', 'angle', 'unwrap', 'sort_complex', 'disp', 'flip', + 'rot90', 'extract', 'place', 'vectorize', 'asarray_chkfinite', 'average', + 'bincount', 'digitize', 'cov', 'corrcoef', + 'msort', 'median', 'sinc', 'hamming', 'hanning', 'bartlett', + 'blackman', 'kaiser', 'trapz', 'i0', 'add_newdoc', 'add_docstring', + 'meshgrid', 'delete', 'insert', 'append', 'interp', 'add_newdoc_ufunc', + 'quantile' + ] + +# _QuantileMethods is a dictionary listing all the supported methods to +# compute quantile/percentile. +# +# Below virtual_index refer to the index of the element where the percentile +# would be found in the sorted sample. +# When the sample contains exactly the percentile wanted, the virtual_index is +# an integer to the index of this element. +# When the percentile wanted is in between two elements, the virtual_index +# is made of a integer part (a.k.a 'i' or 'left') and a fractional part +# (a.k.a 'g' or 'gamma') +# +# Each method in _QuantileMethods has two properties +# get_virtual_index : Callable +# The function used to compute the virtual_index. +# fix_gamma : Callable +# A function used for discret methods to force the index to a specific value. +_QuantileMethods = dict( + # --- HYNDMAN and FAN METHODS + # Discrete methods + inverted_cdf=dict( + get_virtual_index=lambda n, quantiles: _inverted_cdf(n, quantiles), + fix_gamma=lambda gamma, _: gamma, # should never be called + ), + averaged_inverted_cdf=dict( + get_virtual_index=lambda n, quantiles: (n * quantiles) - 1, + fix_gamma=lambda gamma, _: _get_gamma_mask( + shape=gamma.shape, + default_value=1., + conditioned_value=0.5, + where=gamma == 0), + ), + closest_observation=dict( + get_virtual_index=lambda n, quantiles: _closest_observation(n, + quantiles), + fix_gamma=lambda gamma, _: gamma, # should never be called + ), + # Continuous methods + interpolated_inverted_cdf=dict( + get_virtual_index=lambda n, quantiles: + _compute_virtual_index(n, quantiles, 0, 1), + fix_gamma=lambda gamma, _: gamma, + ), + hazen=dict( + get_virtual_index=lambda n, quantiles: + _compute_virtual_index(n, quantiles, 0.5, 0.5), + fix_gamma=lambda gamma, _: gamma, + ), + weibull=dict( + get_virtual_index=lambda n, quantiles: + _compute_virtual_index(n, quantiles, 0, 0), + fix_gamma=lambda gamma, _: gamma, + ), + # Default method. + # To avoid some rounding issues, `(n-1) * quantiles` is preferred to + # `_compute_virtual_index(n, quantiles, 1, 1)`. + # They are mathematically equivalent. + linear=dict( + get_virtual_index=lambda n, quantiles: (n - 1) * quantiles, + fix_gamma=lambda gamma, _: gamma, + ), + median_unbiased=dict( + get_virtual_index=lambda n, quantiles: + _compute_virtual_index(n, quantiles, 1 / 3.0, 1 / 3.0), + fix_gamma=lambda gamma, _: gamma, + ), + normal_unbiased=dict( + get_virtual_index=lambda n, quantiles: + _compute_virtual_index(n, quantiles, 3 / 8.0, 3 / 8.0), + fix_gamma=lambda gamma, _: gamma, + ), + # --- OTHER METHODS + lower=dict( + get_virtual_index=lambda n, quantiles: np.floor( + (n - 1) * quantiles).astype(np.intp), + fix_gamma=lambda gamma, _: gamma, + # should never be called, index dtype is int + ), + higher=dict( + get_virtual_index=lambda n, quantiles: np.ceil( + (n - 1) * quantiles).astype(np.intp), + fix_gamma=lambda gamma, _: gamma, + # should never be called, index dtype is int + ), + midpoint=dict( + get_virtual_index=lambda n, quantiles: 0.5 * ( + np.floor((n - 1) * quantiles) + + np.ceil((n - 1) * quantiles)), + fix_gamma=lambda gamma, index: _get_gamma_mask( + shape=gamma.shape, + default_value=0.5, + conditioned_value=0., + where=index % 1 == 0), + ), + nearest=dict( + get_virtual_index=lambda n, quantiles: np.around( + (n - 1) * quantiles).astype(np.intp), + fix_gamma=lambda gamma, _: gamma, + # should never be called, index dtype is int + )) + + +def _rot90_dispatcher(m, k=None, axes=None): + return (m,) + + +@array_function_dispatch(_rot90_dispatcher) +def rot90(m, k=1, axes=(0, 1)): + """ + Rotate an array by 90 degrees in the plane specified by axes. + + Rotation direction is from the first towards the second axis. + This means for a 2D array with the default `k` and `axes`, the + rotation will be counterclockwise. + + Parameters + ---------- + m : array_like + Array of two or more dimensions. + k : integer + Number of times the array is rotated by 90 degrees. + axes : (2,) array_like + The array is rotated in the plane defined by the axes. + Axes must be different. + + .. versionadded:: 1.12.0 + + Returns + ------- + y : ndarray + A rotated view of `m`. + + See Also + -------- + flip : Reverse the order of elements in an array along the given axis. + fliplr : Flip an array horizontally. + flipud : Flip an array vertically. + + Notes + ----- + ``rot90(m, k=1, axes=(1,0))`` is the reverse of + ``rot90(m, k=1, axes=(0,1))`` + + ``rot90(m, k=1, axes=(1,0))`` is equivalent to + ``rot90(m, k=-1, axes=(0,1))`` + + Examples + -------- + >>> m = np.array([[1,2],[3,4]], int) + >>> m + array([[1, 2], + [3, 4]]) + >>> np.rot90(m) + array([[2, 4], + [1, 3]]) + >>> np.rot90(m, 2) + array([[4, 3], + [2, 1]]) + >>> m = np.arange(8).reshape((2,2,2)) + >>> np.rot90(m, 1, (1,2)) + array([[[1, 3], + [0, 2]], + [[5, 7], + [4, 6]]]) + + """ + axes = tuple(axes) + if len(axes) != 2: + raise ValueError("len(axes) must be 2.") + + m = asanyarray(m) + + if axes[0] == axes[1] or absolute(axes[0] - axes[1]) == m.ndim: + raise ValueError("Axes must be different.") + + if (axes[0] >= m.ndim or axes[0] < -m.ndim + or axes[1] >= m.ndim or axes[1] < -m.ndim): + raise ValueError("Axes={} out of range for array of ndim={}." + .format(axes, m.ndim)) + + k %= 4 + + if k == 0: + return m[:] + if k == 2: + return flip(flip(m, axes[0]), axes[1]) + + axes_list = arange(0, m.ndim) + (axes_list[axes[0]], axes_list[axes[1]]) = (axes_list[axes[1]], + axes_list[axes[0]]) + + if k == 1: + return transpose(flip(m, axes[1]), axes_list) + else: + # k == 3 + return flip(transpose(m, axes_list), axes[1]) + + +def _flip_dispatcher(m, axis=None): + return (m,) + + +@array_function_dispatch(_flip_dispatcher) +def flip(m, axis=None): + """ + Reverse the order of elements in an array along the given axis. + + The shape of the array is preserved, but the elements are reordered. + + .. versionadded:: 1.12.0 + + Parameters + ---------- + m : array_like + Input array. + axis : None or int or tuple of ints, optional + Axis or axes along which to flip over. The default, + axis=None, will flip over all of the axes of the input array. + If axis is negative it counts from the last to the first axis. + + If axis is a tuple of ints, flipping is performed on all of the axes + specified in the tuple. + + .. versionchanged:: 1.15.0 + None and tuples of axes are supported + + Returns + ------- + out : array_like + A view of `m` with the entries of axis reversed. Since a view is + returned, this operation is done in constant time. + + See Also + -------- + flipud : Flip an array vertically (axis=0). + fliplr : Flip an array horizontally (axis=1). + + Notes + ----- + flip(m, 0) is equivalent to flipud(m). + + flip(m, 1) is equivalent to fliplr(m). + + flip(m, n) corresponds to ``m[...,::-1,...]`` with ``::-1`` at position n. + + flip(m) corresponds to ``m[::-1,::-1,...,::-1]`` with ``::-1`` at all + positions. + + flip(m, (0, 1)) corresponds to ``m[::-1,::-1,...]`` with ``::-1`` at + position 0 and position 1. + + Examples + -------- + >>> A = np.arange(8).reshape((2,2,2)) + >>> A + array([[[0, 1], + [2, 3]], + [[4, 5], + [6, 7]]]) + >>> np.flip(A, 0) + array([[[4, 5], + [6, 7]], + [[0, 1], + [2, 3]]]) + >>> np.flip(A, 1) + array([[[2, 3], + [0, 1]], + [[6, 7], + [4, 5]]]) + >>> np.flip(A) + array([[[7, 6], + [5, 4]], + [[3, 2], + [1, 0]]]) + >>> np.flip(A, (0, 2)) + array([[[5, 4], + [7, 6]], + [[1, 0], + [3, 2]]]) + >>> A = np.random.randn(3,4,5) + >>> np.all(np.flip(A,2) == A[:,:,::-1,...]) + True + """ + if not hasattr(m, 'ndim'): + m = asarray(m) + if axis is None: + indexer = (np.s_[::-1],) * m.ndim + else: + axis = _nx.normalize_axis_tuple(axis, m.ndim) + indexer = [np.s_[:]] * m.ndim + for ax in axis: + indexer[ax] = np.s_[::-1] + indexer = tuple(indexer) + return m[indexer] + + +@set_module('numpy') +def iterable(y): + """ + Check whether or not an object can be iterated over. + + Parameters + ---------- + y : object + Input object. + + Returns + ------- + b : bool + Return ``True`` if the object has an iterator method or is a + sequence and ``False`` otherwise. + + + Examples + -------- + >>> np.iterable([1, 2, 3]) + True + >>> np.iterable(2) + False + + Notes + ----- + In most cases, the results of ``np.iterable(obj)`` are consistent with + ``isinstance(obj, collections.abc.Iterable)``. One notable exception is + the treatment of 0-dimensional arrays:: + + >>> from collections.abc import Iterable + >>> a = np.array(1.0) # 0-dimensional numpy array + >>> isinstance(a, Iterable) + True + >>> np.iterable(a) + False + + """ + try: + iter(y) + except TypeError: + return False + return True + + +def _average_dispatcher(a, axis=None, weights=None, returned=None, *, + keepdims=None): + return (a, weights) + + +@array_function_dispatch(_average_dispatcher) +def average(a, axis=None, weights=None, returned=False, *, + keepdims=np._NoValue): + """ + Compute the weighted average along the specified axis. + + Parameters + ---------- + a : array_like + Array containing data to be averaged. If `a` is not an array, a + conversion is attempted. + axis : None or int or tuple of ints, optional + Axis or axes along which to average `a`. The default, + axis=None, will average over all of the elements of the input array. + If axis is negative it counts from the last to the first axis. + + .. versionadded:: 1.7.0 + + If axis is a tuple of ints, averaging is performed on all of the axes + specified in the tuple instead of a single axis or all the axes as + before. + weights : array_like, optional + An array of weights associated with the values in `a`. Each value in + `a` contributes to the average according to its associated weight. + The weights array can either be 1-D (in which case its length must be + the size of `a` along the given axis) or of the same shape as `a`. + If `weights=None`, then all data in `a` are assumed to have a + weight equal to one. The 1-D calculation is:: + + avg = sum(a * weights) / sum(weights) + + The only constraint on `weights` is that `sum(weights)` must not be 0. + returned : bool, optional + Default is `False`. If `True`, the tuple (`average`, `sum_of_weights`) + is returned, otherwise only the average is returned. + If `weights=None`, `sum_of_weights` is equivalent to the number of + elements over which the average is taken. + keepdims : bool, optional + If this is set to True, the axes which are reduced are left + in the result as dimensions with size one. With this option, + the result will broadcast correctly against the original `a`. + *Note:* `keepdims` will not work with instances of `numpy.matrix` + or other classes whose methods do not support `keepdims`. + + .. versionadded:: 1.23.0 + + Returns + ------- + retval, [sum_of_weights] : array_type or double + Return the average along the specified axis. When `returned` is `True`, + return a tuple with the average as the first element and the sum + of the weights as the second element. `sum_of_weights` is of the + same type as `retval`. The result dtype follows a genereal pattern. + If `weights` is None, the result dtype will be that of `a` , or ``float64`` + if `a` is integral. Otherwise, if `weights` is not None and `a` is non- + integral, the result type will be the type of lowest precision capable of + representing values of both `a` and `weights`. If `a` happens to be + integral, the previous rules still applies but the result dtype will + at least be ``float64``. + + Raises + ------ + ZeroDivisionError + When all weights along axis are zero. See `numpy.ma.average` for a + version robust to this type of error. + TypeError + When the length of 1D `weights` is not the same as the shape of `a` + along axis. + + See Also + -------- + mean + + ma.average : average for masked arrays -- useful if your data contains + "missing" values + numpy.result_type : Returns the type that results from applying the + numpy type promotion rules to the arguments. + + Examples + -------- + >>> data = np.arange(1, 5) + >>> data + array([1, 2, 3, 4]) + >>> np.average(data) + 2.5 + >>> np.average(np.arange(1, 11), weights=np.arange(10, 0, -1)) + 4.0 + + >>> data = np.arange(6).reshape((3, 2)) + >>> data + array([[0, 1], + [2, 3], + [4, 5]]) + >>> np.average(data, axis=1, weights=[1./4, 3./4]) + array([0.75, 2.75, 4.75]) + >>> np.average(data, weights=[1./4, 3./4]) + Traceback (most recent call last): + ... + TypeError: Axis must be specified when shapes of a and weights differ. + + >>> a = np.ones(5, dtype=np.float128) + >>> w = np.ones(5, dtype=np.complex64) + >>> avg = np.average(a, weights=w) + >>> print(avg.dtype) + complex256 + + With ``keepdims=True``, the following result has shape (3, 1). + + >>> np.average(data, axis=1, keepdims=True) + array([[0.5], + [2.5], + [4.5]]) + """ + a = np.asanyarray(a) + + if keepdims is np._NoValue: + # Don't pass on the keepdims argument if one wasn't given. + keepdims_kw = {} + else: + keepdims_kw = {'keepdims': keepdims} + + if weights is None: + avg = a.mean(axis, **keepdims_kw) + avg_as_array = np.asanyarray(avg) + scl = avg_as_array.dtype.type(a.size/avg_as_array.size) + else: + wgt = np.asanyarray(weights) + + if issubclass(a.dtype.type, (np.integer, np.bool_)): + result_dtype = np.result_type(a.dtype, wgt.dtype, 'f8') + else: + result_dtype = np.result_type(a.dtype, wgt.dtype) + + # Sanity checks + if a.shape != wgt.shape: + if axis is None: + raise TypeError( + "Axis must be specified when shapes of a and weights " + "differ.") + if wgt.ndim != 1: + raise TypeError( + "1D weights expected when shapes of a and weights differ.") + if wgt.shape[0] != a.shape[axis]: + raise ValueError( + "Length of weights not compatible with specified axis.") + + # setup wgt to broadcast along axis + wgt = np.broadcast_to(wgt, (a.ndim-1)*(1,) + wgt.shape) + wgt = wgt.swapaxes(-1, axis) + + scl = wgt.sum(axis=axis, dtype=result_dtype, **keepdims_kw) + if np.any(scl == 0.0): + raise ZeroDivisionError( + "Weights sum to zero, can't be normalized") + + avg = avg_as_array = np.multiply(a, wgt, + dtype=result_dtype).sum(axis, **keepdims_kw) / scl + + if returned: + if scl.shape != avg_as_array.shape: + scl = np.broadcast_to(scl, avg_as_array.shape).copy() + return avg, scl + else: + return avg + + +@set_module('numpy') +def asarray_chkfinite(a, dtype=None, order=None): + """Convert the input to an array, checking for NaNs or Infs. + + Parameters + ---------- + a : array_like + Input data, in any form that can be converted to an array. This + includes lists, lists of tuples, tuples, tuples of tuples, tuples + of lists and ndarrays. Success requires no NaNs or Infs. + dtype : data-type, optional + By default, the data-type is inferred from the input data. + order : {'C', 'F', 'A', 'K'}, optional + Memory layout. 'A' and 'K' depend on the order of input array a. + 'C' row-major (C-style), + 'F' column-major (Fortran-style) memory representation. + 'A' (any) means 'F' if `a` is Fortran contiguous, 'C' otherwise + 'K' (keep) preserve input order + Defaults to 'C'. + + Returns + ------- + out : ndarray + Array interpretation of `a`. No copy is performed if the input + is already an ndarray. If `a` is a subclass of ndarray, a base + class ndarray is returned. + + Raises + ------ + ValueError + Raises ValueError if `a` contains NaN (Not a Number) or Inf (Infinity). + + See Also + -------- + asarray : Create and array. + asanyarray : Similar function which passes through subclasses. + ascontiguousarray : Convert input to a contiguous array. + asfarray : Convert input to a floating point ndarray. + asfortranarray : Convert input to an ndarray with column-major + memory order. + fromiter : Create an array from an iterator. + fromfunction : Construct an array by executing a function on grid + positions. + + Examples + -------- + Convert a list into an array. If all elements are finite + ``asarray_chkfinite`` is identical to ``asarray``. + + >>> a = [1, 2] + >>> np.asarray_chkfinite(a, dtype=float) + array([1., 2.]) + + Raises ValueError if array_like contains Nans or Infs. + + >>> a = [1, 2, np.inf] + >>> try: + ... np.asarray_chkfinite(a) + ... except ValueError: + ... print('ValueError') + ... + ValueError + + """ + a = asarray(a, dtype=dtype, order=order) + if a.dtype.char in typecodes['AllFloat'] and not np.isfinite(a).all(): + raise ValueError( + "array must not contain infs or NaNs") + return a + + +def _piecewise_dispatcher(x, condlist, funclist, *args, **kw): + yield x + # support the undocumented behavior of allowing scalars + if np.iterable(condlist): + yield from condlist + + +@array_function_dispatch(_piecewise_dispatcher) +def piecewise(x, condlist, funclist, *args, **kw): + """ + Evaluate a piecewise-defined function. + + Given a set of conditions and corresponding functions, evaluate each + function on the input data wherever its condition is true. + + Parameters + ---------- + x : ndarray or scalar + The input domain. + condlist : list of bool arrays or bool scalars + Each boolean array corresponds to a function in `funclist`. Wherever + `condlist[i]` is True, `funclist[i](x)` is used as the output value. + + Each boolean array in `condlist` selects a piece of `x`, + and should therefore be of the same shape as `x`. + + The length of `condlist` must correspond to that of `funclist`. + If one extra function is given, i.e. if + ``len(funclist) == len(condlist) + 1``, then that extra function + is the default value, used wherever all conditions are false. + funclist : list of callables, f(x,*args,**kw), or scalars + Each function is evaluated over `x` wherever its corresponding + condition is True. It should take a 1d array as input and give an 1d + array or a scalar value as output. If, instead of a callable, + a scalar is provided then a constant function (``lambda x: scalar``) is + assumed. + args : tuple, optional + Any further arguments given to `piecewise` are passed to the functions + upon execution, i.e., if called ``piecewise(..., ..., 1, 'a')``, then + each function is called as ``f(x, 1, 'a')``. + kw : dict, optional + Keyword arguments used in calling `piecewise` are passed to the + functions upon execution, i.e., if called + ``piecewise(..., ..., alpha=1)``, then each function is called as + ``f(x, alpha=1)``. + + Returns + ------- + out : ndarray + The output is the same shape and type as x and is found by + calling the functions in `funclist` on the appropriate portions of `x`, + as defined by the boolean arrays in `condlist`. Portions not covered + by any condition have a default value of 0. + + + See Also + -------- + choose, select, where + + Notes + ----- + This is similar to choose or select, except that functions are + evaluated on elements of `x` that satisfy the corresponding condition from + `condlist`. + + The result is:: + + |-- + |funclist[0](x[condlist[0]]) + out = |funclist[1](x[condlist[1]]) + |... + |funclist[n2](x[condlist[n2]]) + |-- + + Examples + -------- + Define the sigma function, which is -1 for ``x < 0`` and +1 for ``x >= 0``. + + >>> x = np.linspace(-2.5, 2.5, 6) + >>> np.piecewise(x, [x < 0, x >= 0], [-1, 1]) + array([-1., -1., -1., 1., 1., 1.]) + + Define the absolute value, which is ``-x`` for ``x <0`` and ``x`` for + ``x >= 0``. + + >>> np.piecewise(x, [x < 0, x >= 0], [lambda x: -x, lambda x: x]) + array([2.5, 1.5, 0.5, 0.5, 1.5, 2.5]) + + Apply the same function to a scalar value. + + >>> y = -2 + >>> np.piecewise(y, [y < 0, y >= 0], [lambda x: -x, lambda x: x]) + array(2) + + """ + x = asanyarray(x) + n2 = len(funclist) + + # undocumented: single condition is promoted to a list of one condition + if isscalar(condlist) or ( + not isinstance(condlist[0], (list, ndarray)) and x.ndim != 0): + condlist = [condlist] + + condlist = asarray(condlist, dtype=bool) + n = len(condlist) + + if n == n2 - 1: # compute the "otherwise" condition. + condelse = ~np.any(condlist, axis=0, keepdims=True) + condlist = np.concatenate([condlist, condelse], axis=0) + n += 1 + elif n != n2: + raise ValueError( + "with {} condition(s), either {} or {} functions are expected" + .format(n, n, n+1) + ) + + y = zeros_like(x) + for cond, func in zip(condlist, funclist): + if not isinstance(func, collections.abc.Callable): + y[cond] = func + else: + vals = x[cond] + if vals.size > 0: + y[cond] = func(vals, *args, **kw) + + return y + + +def _select_dispatcher(condlist, choicelist, default=None): + yield from condlist + yield from choicelist + + +@array_function_dispatch(_select_dispatcher) +def select(condlist, choicelist, default=0): + """ + Return an array drawn from elements in choicelist, depending on conditions. + + Parameters + ---------- + condlist : list of bool ndarrays + The list of conditions which determine from which array in `choicelist` + the output elements are taken. When multiple conditions are satisfied, + the first one encountered in `condlist` is used. + choicelist : list of ndarrays + The list of arrays from which the output elements are taken. It has + to be of the same length as `condlist`. + default : scalar, optional + The element inserted in `output` when all conditions evaluate to False. + + Returns + ------- + output : ndarray + The output at position m is the m-th element of the array in + `choicelist` where the m-th element of the corresponding array in + `condlist` is True. + + See Also + -------- + where : Return elements from one of two arrays depending on condition. + take, choose, compress, diag, diagonal + + Examples + -------- + >>> x = np.arange(6) + >>> condlist = [x<3, x>3] + >>> choicelist = [x, x**2] + >>> np.select(condlist, choicelist, 42) + array([ 0, 1, 2, 42, 16, 25]) + + >>> condlist = [x<=4, x>3] + >>> choicelist = [x, x**2] + >>> np.select(condlist, choicelist, 55) + array([ 0, 1, 2, 3, 4, 25]) + + """ + # Check the size of condlist and choicelist are the same, or abort. + if len(condlist) != len(choicelist): + raise ValueError( + 'list of cases must be same length as list of conditions') + + # Now that the dtype is known, handle the deprecated select([], []) case + if len(condlist) == 0: + raise ValueError("select with an empty condition list is not possible") + + choicelist = [np.asarray(choice) for choice in choicelist] + + try: + intermediate_dtype = np.result_type(*choicelist) + except TypeError as e: + msg = f'Choicelist elements do not have a common dtype: {e}' + raise TypeError(msg) from None + default_array = np.asarray(default) + choicelist.append(default_array) + + # need to get the result type before broadcasting for correct scalar + # behaviour + try: + dtype = np.result_type(intermediate_dtype, default_array) + except TypeError as e: + msg = f'Choicelists and default value do not have a common dtype: {e}' + raise TypeError(msg) from None + + # Convert conditions to arrays and broadcast conditions and choices + # as the shape is needed for the result. Doing it separately optimizes + # for example when all choices are scalars. + condlist = np.broadcast_arrays(*condlist) + choicelist = np.broadcast_arrays(*choicelist) + + # If cond array is not an ndarray in boolean format or scalar bool, abort. + for i, cond in enumerate(condlist): + if cond.dtype.type is not np.bool_: + raise TypeError( + 'invalid entry {} in condlist: should be boolean ndarray'.format(i)) + + if choicelist[0].ndim == 0: + # This may be common, so avoid the call. + result_shape = condlist[0].shape + else: + result_shape = np.broadcast_arrays(condlist[0], choicelist[0])[0].shape + + result = np.full(result_shape, choicelist[-1], dtype) + + # Use np.copyto to burn each choicelist array onto result, using the + # corresponding condlist as a boolean mask. This is done in reverse + # order since the first choice should take precedence. + choicelist = choicelist[-2::-1] + condlist = condlist[::-1] + for choice, cond in zip(choicelist, condlist): + np.copyto(result, choice, where=cond) + + return result + + +def _copy_dispatcher(a, order=None, subok=None): + return (a,) + + +@array_function_dispatch(_copy_dispatcher) +def copy(a, order='K', subok=False): + """ + Return an array copy of the given object. + + Parameters + ---------- + a : array_like + Input data. + order : {'C', 'F', 'A', 'K'}, optional + Controls the memory layout of the copy. 'C' means C-order, + 'F' means F-order, 'A' means 'F' if `a` is Fortran contiguous, + 'C' otherwise. 'K' means match the layout of `a` as closely + as possible. (Note that this function and :meth:`ndarray.copy` are very + similar, but have different default values for their order= + arguments.) + subok : bool, optional + If True, then sub-classes will be passed-through, otherwise the + returned array will be forced to be a base-class array (defaults to False). + + .. versionadded:: 1.19.0 + + Returns + ------- + arr : ndarray + Array interpretation of `a`. + + See Also + -------- + ndarray.copy : Preferred method for creating an array copy + + Notes + ----- + This is equivalent to: + + >>> np.array(a, copy=True) #doctest: +SKIP + + Examples + -------- + Create an array x, with a reference y and a copy z: + + >>> x = np.array([1, 2, 3]) + >>> y = x + >>> z = np.copy(x) + + Note that, when we modify x, y changes, but not z: + + >>> x[0] = 10 + >>> x[0] == y[0] + True + >>> x[0] == z[0] + False + + Note that, np.copy clears previously set WRITEABLE=False flag. + + >>> a = np.array([1, 2, 3]) + >>> a.flags["WRITEABLE"] = False + >>> b = np.copy(a) + >>> b.flags["WRITEABLE"] + True + >>> b[0] = 3 + >>> b + array([3, 2, 3]) + + Note that np.copy is a shallow copy and will not copy object + elements within arrays. This is mainly important for arrays + containing Python objects. The new array will contain the + same object which may lead to surprises if that object can + be modified (is mutable): + + >>> a = np.array([1, 'm', [2, 3, 4]], dtype=object) + >>> b = np.copy(a) + >>> b[2][0] = 10 + >>> a + array([1, 'm', list([10, 3, 4])], dtype=object) + + To ensure all elements within an ``object`` array are copied, + use `copy.deepcopy`: + + >>> import copy + >>> a = np.array([1, 'm', [2, 3, 4]], dtype=object) + >>> c = copy.deepcopy(a) + >>> c[2][0] = 10 + >>> c + array([1, 'm', list([10, 3, 4])], dtype=object) + >>> a + array([1, 'm', list([2, 3, 4])], dtype=object) + + """ + return array(a, order=order, subok=subok, copy=True) + +# Basic operations + + +def _gradient_dispatcher(f, *varargs, axis=None, edge_order=None): + yield f + yield from varargs + + +@array_function_dispatch(_gradient_dispatcher) +def gradient(f, *varargs, axis=None, edge_order=1): + """ + Return the gradient of an N-dimensional array. + + The gradient is computed using second order accurate central differences + in the interior points and either first or second order accurate one-sides + (forward or backwards) differences at the boundaries. + The returned gradient hence has the same shape as the input array. + + Parameters + ---------- + f : array_like + An N-dimensional array containing samples of a scalar function. + varargs : list of scalar or array, optional + Spacing between f values. Default unitary spacing for all dimensions. + Spacing can be specified using: + + 1. single scalar to specify a sample distance for all dimensions. + 2. N scalars to specify a constant sample distance for each dimension. + i.e. `dx`, `dy`, `dz`, ... + 3. N arrays to specify the coordinates of the values along each + dimension of F. The length of the array must match the size of + the corresponding dimension + 4. Any combination of N scalars/arrays with the meaning of 2. and 3. + + If `axis` is given, the number of varargs must equal the number of axes. + Default: 1. + + edge_order : {1, 2}, optional + Gradient is calculated using N-th order accurate differences + at the boundaries. Default: 1. + + .. versionadded:: 1.9.1 + + axis : None or int or tuple of ints, optional + Gradient is calculated only along the given axis or axes + The default (axis = None) is to calculate the gradient for all the axes + of the input array. axis may be negative, in which case it counts from + the last to the first axis. + + .. versionadded:: 1.11.0 + + Returns + ------- + gradient : ndarray or list of ndarray + A list of ndarrays (or a single ndarray if there is only one dimension) + corresponding to the derivatives of f with respect to each dimension. + Each derivative has the same shape as f. + + Examples + -------- + >>> f = np.array([1, 2, 4, 7, 11, 16], dtype=float) + >>> np.gradient(f) + array([1. , 1.5, 2.5, 3.5, 4.5, 5. ]) + >>> np.gradient(f, 2) + array([0.5 , 0.75, 1.25, 1.75, 2.25, 2.5 ]) + + Spacing can be also specified with an array that represents the coordinates + of the values F along the dimensions. + For instance a uniform spacing: + + >>> x = np.arange(f.size) + >>> np.gradient(f, x) + array([1. , 1.5, 2.5, 3.5, 4.5, 5. ]) + + Or a non uniform one: + + >>> x = np.array([0., 1., 1.5, 3.5, 4., 6.], dtype=float) + >>> np.gradient(f, x) + array([1. , 3. , 3.5, 6.7, 6.9, 2.5]) + + For two dimensional arrays, the return will be two arrays ordered by + axis. In this example the first array stands for the gradient in + rows and the second one in columns direction: + + >>> np.gradient(np.array([[1, 2, 6], [3, 4, 5]], dtype=float)) + [array([[ 2., 2., -1.], + [ 2., 2., -1.]]), array([[1. , 2.5, 4. ], + [1. , 1. , 1. ]])] + + In this example the spacing is also specified: + uniform for axis=0 and non uniform for axis=1 + + >>> dx = 2. + >>> y = [1., 1.5, 3.5] + >>> np.gradient(np.array([[1, 2, 6], [3, 4, 5]], dtype=float), dx, y) + [array([[ 1. , 1. , -0.5], + [ 1. , 1. , -0.5]]), array([[2. , 2. , 2. ], + [2. , 1.7, 0.5]])] + + It is possible to specify how boundaries are treated using `edge_order` + + >>> x = np.array([0, 1, 2, 3, 4]) + >>> f = x**2 + >>> np.gradient(f, edge_order=1) + array([1., 2., 4., 6., 7.]) + >>> np.gradient(f, edge_order=2) + array([0., 2., 4., 6., 8.]) + + The `axis` keyword can be used to specify a subset of axes of which the + gradient is calculated + + >>> np.gradient(np.array([[1, 2, 6], [3, 4, 5]], dtype=float), axis=0) + array([[ 2., 2., -1.], + [ 2., 2., -1.]]) + + Notes + ----- + Assuming that :math:`f\\in C^{3}` (i.e., :math:`f` has at least 3 continuous + derivatives) and let :math:`h_{*}` be a non-homogeneous stepsize, we + minimize the "consistency error" :math:`\\eta_{i}` between the true gradient + and its estimate from a linear combination of the neighboring grid-points: + + .. math:: + + \\eta_{i} = f_{i}^{\\left(1\\right)} - + \\left[ \\alpha f\\left(x_{i}\\right) + + \\beta f\\left(x_{i} + h_{d}\\right) + + \\gamma f\\left(x_{i}-h_{s}\\right) + \\right] + + By substituting :math:`f(x_{i} + h_{d})` and :math:`f(x_{i} - h_{s})` + with their Taylor series expansion, this translates into solving + the following the linear system: + + .. math:: + + \\left\\{ + \\begin{array}{r} + \\alpha+\\beta+\\gamma=0 \\\\ + \\beta h_{d}-\\gamma h_{s}=1 \\\\ + \\beta h_{d}^{2}+\\gamma h_{s}^{2}=0 + \\end{array} + \\right. + + The resulting approximation of :math:`f_{i}^{(1)}` is the following: + + .. math:: + + \\hat f_{i}^{(1)} = + \\frac{ + h_{s}^{2}f\\left(x_{i} + h_{d}\\right) + + \\left(h_{d}^{2} - h_{s}^{2}\\right)f\\left(x_{i}\\right) + - h_{d}^{2}f\\left(x_{i}-h_{s}\\right)} + { h_{s}h_{d}\\left(h_{d} + h_{s}\\right)} + + \\mathcal{O}\\left(\\frac{h_{d}h_{s}^{2} + + h_{s}h_{d}^{2}}{h_{d} + + h_{s}}\\right) + + It is worth noting that if :math:`h_{s}=h_{d}` + (i.e., data are evenly spaced) + we find the standard second order approximation: + + .. math:: + + \\hat f_{i}^{(1)}= + \\frac{f\\left(x_{i+1}\\right) - f\\left(x_{i-1}\\right)}{2h} + + \\mathcal{O}\\left(h^{2}\\right) + + With a similar procedure the forward/backward approximations used for + boundaries can be derived. + + References + ---------- + .. [1] Quarteroni A., Sacco R., Saleri F. (2007) Numerical Mathematics + (Texts in Applied Mathematics). New York: Springer. + .. [2] Durran D. R. (1999) Numerical Methods for Wave Equations + in Geophysical Fluid Dynamics. New York: Springer. + .. [3] Fornberg B. (1988) Generation of Finite Difference Formulas on + Arbitrarily Spaced Grids, + Mathematics of Computation 51, no. 184 : 699-706. + `PDF `_. + """ + f = np.asanyarray(f) + N = f.ndim # number of dimensions + + if axis is None: + axes = tuple(range(N)) + else: + axes = _nx.normalize_axis_tuple(axis, N) + + len_axes = len(axes) + n = len(varargs) + if n == 0: + # no spacing argument - use 1 in all axes + dx = [1.0] * len_axes + elif n == 1 and np.ndim(varargs[0]) == 0: + # single scalar for all axes + dx = varargs * len_axes + elif n == len_axes: + # scalar or 1d array for each axis + dx = list(varargs) + for i, distances in enumerate(dx): + distances = np.asanyarray(distances) + if distances.ndim == 0: + continue + elif distances.ndim != 1: + raise ValueError("distances must be either scalars or 1d") + if len(distances) != f.shape[axes[i]]: + raise ValueError("when 1d, distances must match " + "the length of the corresponding dimension") + if np.issubdtype(distances.dtype, np.integer): + # Convert numpy integer types to float64 to avoid modular + # arithmetic in np.diff(distances). + distances = distances.astype(np.float64) + diffx = np.diff(distances) + # if distances are constant reduce to the scalar case + # since it brings a consistent speedup + if (diffx == diffx[0]).all(): + diffx = diffx[0] + dx[i] = diffx + else: + raise TypeError("invalid number of arguments") + + if edge_order > 2: + raise ValueError("'edge_order' greater than 2 not supported") + + # use central differences on interior and one-sided differences on the + # endpoints. This preserves second order-accuracy over the full domain. + + outvals = [] + + # create slice objects --- initially all are [:, :, ..., :] + slice1 = [slice(None)]*N + slice2 = [slice(None)]*N + slice3 = [slice(None)]*N + slice4 = [slice(None)]*N + + otype = f.dtype + if otype.type is np.datetime64: + # the timedelta dtype with the same unit information + otype = np.dtype(otype.name.replace('datetime', 'timedelta')) + # view as timedelta to allow addition + f = f.view(otype) + elif otype.type is np.timedelta64: + pass + elif np.issubdtype(otype, np.inexact): + pass + else: + # All other types convert to floating point. + # First check if f is a numpy integer type; if so, convert f to float64 + # to avoid modular arithmetic when computing the changes in f. + if np.issubdtype(otype, np.integer): + f = f.astype(np.float64) + otype = np.float64 + + for axis, ax_dx in zip(axes, dx): + if f.shape[axis] < edge_order + 1: + raise ValueError( + "Shape of array too small to calculate a numerical gradient, " + "at least (edge_order + 1) elements are required.") + # result allocation + out = np.empty_like(f, dtype=otype) + + # spacing for the current axis + uniform_spacing = np.ndim(ax_dx) == 0 + + # Numerical differentiation: 2nd order interior + slice1[axis] = slice(1, -1) + slice2[axis] = slice(None, -2) + slice3[axis] = slice(1, -1) + slice4[axis] = slice(2, None) + + if uniform_spacing: + out[tuple(slice1)] = (f[tuple(slice4)] - f[tuple(slice2)]) / (2. * ax_dx) + else: + dx1 = ax_dx[0:-1] + dx2 = ax_dx[1:] + a = -(dx2)/(dx1 * (dx1 + dx2)) + b = (dx2 - dx1) / (dx1 * dx2) + c = dx1 / (dx2 * (dx1 + dx2)) + # fix the shape for broadcasting + shape = np.ones(N, dtype=int) + shape[axis] = -1 + a.shape = b.shape = c.shape = shape + # 1D equivalent -- out[1:-1] = a * f[:-2] + b * f[1:-1] + c * f[2:] + out[tuple(slice1)] = a * f[tuple(slice2)] + b * f[tuple(slice3)] + c * f[tuple(slice4)] + + # Numerical differentiation: 1st order edges + if edge_order == 1: + slice1[axis] = 0 + slice2[axis] = 1 + slice3[axis] = 0 + dx_0 = ax_dx if uniform_spacing else ax_dx[0] + # 1D equivalent -- out[0] = (f[1] - f[0]) / (x[1] - x[0]) + out[tuple(slice1)] = (f[tuple(slice2)] - f[tuple(slice3)]) / dx_0 + + slice1[axis] = -1 + slice2[axis] = -1 + slice3[axis] = -2 + dx_n = ax_dx if uniform_spacing else ax_dx[-1] + # 1D equivalent -- out[-1] = (f[-1] - f[-2]) / (x[-1] - x[-2]) + out[tuple(slice1)] = (f[tuple(slice2)] - f[tuple(slice3)]) / dx_n + + # Numerical differentiation: 2nd order edges + else: + slice1[axis] = 0 + slice2[axis] = 0 + slice3[axis] = 1 + slice4[axis] = 2 + if uniform_spacing: + a = -1.5 / ax_dx + b = 2. / ax_dx + c = -0.5 / ax_dx + else: + dx1 = ax_dx[0] + dx2 = ax_dx[1] + a = -(2. * dx1 + dx2)/(dx1 * (dx1 + dx2)) + b = (dx1 + dx2) / (dx1 * dx2) + c = - dx1 / (dx2 * (dx1 + dx2)) + # 1D equivalent -- out[0] = a * f[0] + b * f[1] + c * f[2] + out[tuple(slice1)] = a * f[tuple(slice2)] + b * f[tuple(slice3)] + c * f[tuple(slice4)] + + slice1[axis] = -1 + slice2[axis] = -3 + slice3[axis] = -2 + slice4[axis] = -1 + if uniform_spacing: + a = 0.5 / ax_dx + b = -2. / ax_dx + c = 1.5 / ax_dx + else: + dx1 = ax_dx[-2] + dx2 = ax_dx[-1] + a = (dx2) / (dx1 * (dx1 + dx2)) + b = - (dx2 + dx1) / (dx1 * dx2) + c = (2. * dx2 + dx1) / (dx2 * (dx1 + dx2)) + # 1D equivalent -- out[-1] = a * f[-3] + b * f[-2] + c * f[-1] + out[tuple(slice1)] = a * f[tuple(slice2)] + b * f[tuple(slice3)] + c * f[tuple(slice4)] + + outvals.append(out) + + # reset the slice object in this dimension to ":" + slice1[axis] = slice(None) + slice2[axis] = slice(None) + slice3[axis] = slice(None) + slice4[axis] = slice(None) + + if len_axes == 1: + return outvals[0] + elif np._using_numpy2_behavior(): + return tuple(outvals) + else: + return outvals + + +def _diff_dispatcher(a, n=None, axis=None, prepend=None, append=None): + return (a, prepend, append) + + +@array_function_dispatch(_diff_dispatcher) +def diff(a, n=1, axis=-1, prepend=np._NoValue, append=np._NoValue): + """ + Calculate the n-th discrete difference along the given axis. + + The first difference is given by ``out[i] = a[i+1] - a[i]`` along + the given axis, higher differences are calculated by using `diff` + recursively. + + Parameters + ---------- + a : array_like + Input array + n : int, optional + The number of times values are differenced. If zero, the input + is returned as-is. + axis : int, optional + The axis along which the difference is taken, default is the + last axis. + prepend, append : array_like, optional + Values to prepend or append to `a` along axis prior to + performing the difference. Scalar values are expanded to + arrays with length 1 in the direction of axis and the shape + of the input array in along all other axes. Otherwise the + dimension and shape must match `a` except along axis. + + .. versionadded:: 1.16.0 + + Returns + ------- + diff : ndarray + The n-th differences. The shape of the output is the same as `a` + except along `axis` where the dimension is smaller by `n`. The + type of the output is the same as the type of the difference + between any two elements of `a`. This is the same as the type of + `a` in most cases. A notable exception is `datetime64`, which + results in a `timedelta64` output array. + + See Also + -------- + gradient, ediff1d, cumsum + + Notes + ----- + Type is preserved for boolean arrays, so the result will contain + `False` when consecutive elements are the same and `True` when they + differ. + + For unsigned integer arrays, the results will also be unsigned. This + should not be surprising, as the result is consistent with + calculating the difference directly: + + >>> u8_arr = np.array([1, 0], dtype=np.uint8) + >>> np.diff(u8_arr) + array([255], dtype=uint8) + >>> u8_arr[1,...] - u8_arr[0,...] + 255 + + If this is not desirable, then the array should be cast to a larger + integer type first: + + >>> i16_arr = u8_arr.astype(np.int16) + >>> np.diff(i16_arr) + array([-1], dtype=int16) + + Examples + -------- + >>> x = np.array([1, 2, 4, 7, 0]) + >>> np.diff(x) + array([ 1, 2, 3, -7]) + >>> np.diff(x, n=2) + array([ 1, 1, -10]) + + >>> x = np.array([[1, 3, 6, 10], [0, 5, 6, 8]]) + >>> np.diff(x) + array([[2, 3, 4], + [5, 1, 2]]) + >>> np.diff(x, axis=0) + array([[-1, 2, 0, -2]]) + + >>> x = np.arange('1066-10-13', '1066-10-16', dtype=np.datetime64) + >>> np.diff(x) + array([1, 1], dtype='timedelta64[D]') + + """ + if n == 0: + return a + if n < 0: + raise ValueError( + "order must be non-negative but got " + repr(n)) + + a = asanyarray(a) + nd = a.ndim + if nd == 0: + raise ValueError("diff requires input that is at least one dimensional") + axis = normalize_axis_index(axis, nd) + + combined = [] + if prepend is not np._NoValue: + prepend = np.asanyarray(prepend) + if prepend.ndim == 0: + shape = list(a.shape) + shape[axis] = 1 + prepend = np.broadcast_to(prepend, tuple(shape)) + combined.append(prepend) + + combined.append(a) + + if append is not np._NoValue: + append = np.asanyarray(append) + if append.ndim == 0: + shape = list(a.shape) + shape[axis] = 1 + append = np.broadcast_to(append, tuple(shape)) + combined.append(append) + + if len(combined) > 1: + a = np.concatenate(combined, axis) + + slice1 = [slice(None)] * nd + slice2 = [slice(None)] * nd + slice1[axis] = slice(1, None) + slice2[axis] = slice(None, -1) + slice1 = tuple(slice1) + slice2 = tuple(slice2) + + op = not_equal if a.dtype == np.bool_ else subtract + for _ in range(n): + a = op(a[slice1], a[slice2]) + + return a + + +def _interp_dispatcher(x, xp, fp, left=None, right=None, period=None): + return (x, xp, fp) + + +@array_function_dispatch(_interp_dispatcher) +def interp(x, xp, fp, left=None, right=None, period=None): + """ + One-dimensional linear interpolation for monotonically increasing sample points. + + Returns the one-dimensional piecewise linear interpolant to a function + with given discrete data points (`xp`, `fp`), evaluated at `x`. + + Parameters + ---------- + x : array_like + The x-coordinates at which to evaluate the interpolated values. + + xp : 1-D sequence of floats + The x-coordinates of the data points, must be increasing if argument + `period` is not specified. Otherwise, `xp` is internally sorted after + normalizing the periodic boundaries with ``xp = xp % period``. + + fp : 1-D sequence of float or complex + The y-coordinates of the data points, same length as `xp`. + + left : optional float or complex corresponding to fp + Value to return for `x < xp[0]`, default is `fp[0]`. + + right : optional float or complex corresponding to fp + Value to return for `x > xp[-1]`, default is `fp[-1]`. + + period : None or float, optional + A period for the x-coordinates. This parameter allows the proper + interpolation of angular x-coordinates. Parameters `left` and `right` + are ignored if `period` is specified. + + .. versionadded:: 1.10.0 + + Returns + ------- + y : float or complex (corresponding to fp) or ndarray + The interpolated values, same shape as `x`. + + Raises + ------ + ValueError + If `xp` and `fp` have different length + If `xp` or `fp` are not 1-D sequences + If `period == 0` + + See Also + -------- + scipy.interpolate + + Warnings + -------- + The x-coordinate sequence is expected to be increasing, but this is not + explicitly enforced. However, if the sequence `xp` is non-increasing, + interpolation results are meaningless. + + Note that, since NaN is unsortable, `xp` also cannot contain NaNs. + + A simple check for `xp` being strictly increasing is:: + + np.all(np.diff(xp) > 0) + + Examples + -------- + >>> xp = [1, 2, 3] + >>> fp = [3, 2, 0] + >>> np.interp(2.5, xp, fp) + 1.0 + >>> np.interp([0, 1, 1.5, 2.72, 3.14], xp, fp) + array([3. , 3. , 2.5 , 0.56, 0. ]) + >>> UNDEF = -99.0 + >>> np.interp(3.14, xp, fp, right=UNDEF) + -99.0 + + Plot an interpolant to the sine function: + + >>> x = np.linspace(0, 2*np.pi, 10) + >>> y = np.sin(x) + >>> xvals = np.linspace(0, 2*np.pi, 50) + >>> yinterp = np.interp(xvals, x, y) + >>> import matplotlib.pyplot as plt + >>> plt.plot(x, y, 'o') + [] + >>> plt.plot(xvals, yinterp, '-x') + [] + >>> plt.show() + + Interpolation with periodic x-coordinates: + + >>> x = [-180, -170, -185, 185, -10, -5, 0, 365] + >>> xp = [190, -190, 350, -350] + >>> fp = [5, 10, 3, 4] + >>> np.interp(x, xp, fp, period=360) + array([7.5 , 5. , 8.75, 6.25, 3. , 3.25, 3.5 , 3.75]) + + Complex interpolation: + + >>> x = [1.5, 4.0] + >>> xp = [2,3,5] + >>> fp = [1.0j, 0, 2+3j] + >>> np.interp(x, xp, fp) + array([0.+1.j , 1.+1.5j]) + + """ + + fp = np.asarray(fp) + + if np.iscomplexobj(fp): + interp_func = compiled_interp_complex + input_dtype = np.complex128 + else: + interp_func = compiled_interp + input_dtype = np.float64 + + if period is not None: + if period == 0: + raise ValueError("period must be a non-zero value") + period = abs(period) + left = None + right = None + + x = np.asarray(x, dtype=np.float64) + xp = np.asarray(xp, dtype=np.float64) + fp = np.asarray(fp, dtype=input_dtype) + + if xp.ndim != 1 or fp.ndim != 1: + raise ValueError("Data points must be 1-D sequences") + if xp.shape[0] != fp.shape[0]: + raise ValueError("fp and xp are not of the same length") + # normalizing periodic boundaries + x = x % period + xp = xp % period + asort_xp = np.argsort(xp) + xp = xp[asort_xp] + fp = fp[asort_xp] + xp = np.concatenate((xp[-1:]-period, xp, xp[0:1]+period)) + fp = np.concatenate((fp[-1:], fp, fp[0:1])) + + return interp_func(x, xp, fp, left, right) + + +def _angle_dispatcher(z, deg=None): + return (z,) + + +@array_function_dispatch(_angle_dispatcher) +def angle(z, deg=False): + """ + Return the angle of the complex argument. + + Parameters + ---------- + z : array_like + A complex number or sequence of complex numbers. + deg : bool, optional + Return angle in degrees if True, radians if False (default). + + Returns + ------- + angle : ndarray or scalar + The counterclockwise angle from the positive real axis on the complex + plane in the range ``(-pi, pi]``, with dtype as numpy.float64. + + .. versionchanged:: 1.16.0 + This function works on subclasses of ndarray like `ma.array`. + + See Also + -------- + arctan2 + absolute + + Notes + ----- + Although the angle of the complex number 0 is undefined, ``numpy.angle(0)`` + returns the value 0. + + Examples + -------- + >>> np.angle([1.0, 1.0j, 1+1j]) # in radians + array([ 0. , 1.57079633, 0.78539816]) # may vary + >>> np.angle(1+1j, deg=True) # in degrees + 45.0 + + """ + z = asanyarray(z) + if issubclass(z.dtype.type, _nx.complexfloating): + zimag = z.imag + zreal = z.real + else: + zimag = 0 + zreal = z + + a = arctan2(zimag, zreal) + if deg: + a *= 180/pi + return a + + +def _unwrap_dispatcher(p, discont=None, axis=None, *, period=None): + return (p,) + + +@array_function_dispatch(_unwrap_dispatcher) +def unwrap(p, discont=None, axis=-1, *, period=2*pi): + r""" + Unwrap by taking the complement of large deltas with respect to the period. + + This unwraps a signal `p` by changing elements which have an absolute + difference from their predecessor of more than ``max(discont, period/2)`` + to their `period`-complementary values. + + For the default case where `period` is :math:`2\pi` and `discont` is + :math:`\pi`, this unwraps a radian phase `p` such that adjacent differences + are never greater than :math:`\pi` by adding :math:`2k\pi` for some + integer :math:`k`. + + Parameters + ---------- + p : array_like + Input array. + discont : float, optional + Maximum discontinuity between values, default is ``period/2``. + Values below ``period/2`` are treated as if they were ``period/2``. + To have an effect different from the default, `discont` should be + larger than ``period/2``. + axis : int, optional + Axis along which unwrap will operate, default is the last axis. + period : float, optional + Size of the range over which the input wraps. By default, it is + ``2 pi``. + + .. versionadded:: 1.21.0 + + Returns + ------- + out : ndarray + Output array. + + See Also + -------- + rad2deg, deg2rad + + Notes + ----- + If the discontinuity in `p` is smaller than ``period/2``, + but larger than `discont`, no unwrapping is done because taking + the complement would only make the discontinuity larger. + + Examples + -------- + >>> phase = np.linspace(0, np.pi, num=5) + >>> phase[3:] += np.pi + >>> phase + array([ 0. , 0.78539816, 1.57079633, 5.49778714, 6.28318531]) # may vary + >>> np.unwrap(phase) + array([ 0. , 0.78539816, 1.57079633, -0.78539816, 0. ]) # may vary + >>> np.unwrap([0, 1, 2, -1, 0], period=4) + array([0, 1, 2, 3, 4]) + >>> np.unwrap([ 1, 2, 3, 4, 5, 6, 1, 2, 3], period=6) + array([1, 2, 3, 4, 5, 6, 7, 8, 9]) + >>> np.unwrap([2, 3, 4, 5, 2, 3, 4, 5], period=4) + array([2, 3, 4, 5, 6, 7, 8, 9]) + >>> phase_deg = np.mod(np.linspace(0 ,720, 19), 360) - 180 + >>> np.unwrap(phase_deg, period=360) + array([-180., -140., -100., -60., -20., 20., 60., 100., 140., + 180., 220., 260., 300., 340., 380., 420., 460., 500., + 540.]) + """ + p = asarray(p) + nd = p.ndim + dd = diff(p, axis=axis) + if discont is None: + discont = period/2 + slice1 = [slice(None, None)]*nd # full slices + slice1[axis] = slice(1, None) + slice1 = tuple(slice1) + dtype = np.result_type(dd, period) + if _nx.issubdtype(dtype, _nx.integer): + interval_high, rem = divmod(period, 2) + boundary_ambiguous = rem == 0 + else: + interval_high = period / 2 + boundary_ambiguous = True + interval_low = -interval_high + ddmod = mod(dd - interval_low, period) + interval_low + if boundary_ambiguous: + # for `mask = (abs(dd) == period/2)`, the above line made + # `ddmod[mask] == -period/2`. correct these such that + # `ddmod[mask] == sign(dd[mask])*period/2`. + _nx.copyto(ddmod, interval_high, + where=(ddmod == interval_low) & (dd > 0)) + ph_correct = ddmod - dd + _nx.copyto(ph_correct, 0, where=abs(dd) < discont) + up = array(p, copy=True, dtype=dtype) + up[slice1] = p[slice1] + ph_correct.cumsum(axis) + return up + + +def _sort_complex(a): + return (a,) + + +@array_function_dispatch(_sort_complex) +def sort_complex(a): + """ + Sort a complex array using the real part first, then the imaginary part. + + Parameters + ---------- + a : array_like + Input array + + Returns + ------- + out : complex ndarray + Always returns a sorted complex array. + + Examples + -------- + >>> np.sort_complex([5, 3, 6, 2, 1]) + array([1.+0.j, 2.+0.j, 3.+0.j, 5.+0.j, 6.+0.j]) + + >>> np.sort_complex([1 + 2j, 2 - 1j, 3 - 2j, 3 - 3j, 3 + 5j]) + array([1.+2.j, 2.-1.j, 3.-3.j, 3.-2.j, 3.+5.j]) + + """ + b = array(a, copy=True) + b.sort() + if not issubclass(b.dtype.type, _nx.complexfloating): + if b.dtype.char in 'bhBH': + return b.astype('F') + elif b.dtype.char == 'g': + return b.astype('G') + else: + return b.astype('D') + else: + return b + + +def _trim_zeros(filt, trim=None): + return (filt,) + + +@array_function_dispatch(_trim_zeros) +def trim_zeros(filt, trim='fb'): + """ + Trim the leading and/or trailing zeros from a 1-D array or sequence. + + Parameters + ---------- + filt : 1-D array or sequence + Input array. + trim : str, optional + A string with 'f' representing trim from front and 'b' to trim from + back. Default is 'fb', trim zeros from both front and back of the + array. + + Returns + ------- + trimmed : 1-D array or sequence + The result of trimming the input. The input data type is preserved. + + Examples + -------- + >>> a = np.array((0, 0, 0, 1, 2, 3, 0, 2, 1, 0)) + >>> np.trim_zeros(a) + array([1, 2, 3, 0, 2, 1]) + + >>> np.trim_zeros(a, 'b') + array([0, 0, 0, ..., 0, 2, 1]) + + The input data type is preserved, list/tuple in means list/tuple out. + + >>> np.trim_zeros([0, 1, 2, 0]) + [1, 2] + + """ + + first = 0 + trim = trim.upper() + if 'F' in trim: + for i in filt: + if i != 0.: + break + else: + first = first + 1 + last = len(filt) + if 'B' in trim: + for i in filt[::-1]: + if i != 0.: + break + else: + last = last - 1 + return filt[first:last] + + +def _extract_dispatcher(condition, arr): + return (condition, arr) + + +@array_function_dispatch(_extract_dispatcher) +def extract(condition, arr): + """ + Return the elements of an array that satisfy some condition. + + This is equivalent to ``np.compress(ravel(condition), ravel(arr))``. If + `condition` is boolean ``np.extract`` is equivalent to ``arr[condition]``. + + Note that `place` does the exact opposite of `extract`. + + Parameters + ---------- + condition : array_like + An array whose nonzero or True entries indicate the elements of `arr` + to extract. + arr : array_like + Input array of the same size as `condition`. + + Returns + ------- + extract : ndarray + Rank 1 array of values from `arr` where `condition` is True. + + See Also + -------- + take, put, copyto, compress, place + + Examples + -------- + >>> arr = np.arange(12).reshape((3, 4)) + >>> arr + array([[ 0, 1, 2, 3], + [ 4, 5, 6, 7], + [ 8, 9, 10, 11]]) + >>> condition = np.mod(arr, 3)==0 + >>> condition + array([[ True, False, False, True], + [False, False, True, False], + [False, True, False, False]]) + >>> np.extract(condition, arr) + array([0, 3, 6, 9]) + + + If `condition` is boolean: + + >>> arr[condition] + array([0, 3, 6, 9]) + + """ + return _nx.take(ravel(arr), nonzero(ravel(condition))[0]) + + +def _place_dispatcher(arr, mask, vals): + return (arr, mask, vals) + + +@array_function_dispatch(_place_dispatcher) +def place(arr, mask, vals): + """ + Change elements of an array based on conditional and input values. + + Similar to ``np.copyto(arr, vals, where=mask)``, the difference is that + `place` uses the first N elements of `vals`, where N is the number of + True values in `mask`, while `copyto` uses the elements where `mask` + is True. + + Note that `extract` does the exact opposite of `place`. + + Parameters + ---------- + arr : ndarray + Array to put data into. + mask : array_like + Boolean mask array. Must have the same size as `a`. + vals : 1-D sequence + Values to put into `a`. Only the first N elements are used, where + N is the number of True values in `mask`. If `vals` is smaller + than N, it will be repeated, and if elements of `a` are to be masked, + this sequence must be non-empty. + + See Also + -------- + copyto, put, take, extract + + Examples + -------- + >>> arr = np.arange(6).reshape(2, 3) + >>> np.place(arr, arr>2, [44, 55]) + >>> arr + array([[ 0, 1, 2], + [44, 55, 44]]) + + """ + return _place(arr, mask, vals) + + +def disp(mesg, device=None, linefeed=True): + """ + Display a message on a device. + + Parameters + ---------- + mesg : str + Message to display. + device : object + Device to write message. If None, defaults to ``sys.stdout`` which is + very similar to ``print``. `device` needs to have ``write()`` and + ``flush()`` methods. + linefeed : bool, optional + Option whether to print a line feed or not. Defaults to True. + + Raises + ------ + AttributeError + If `device` does not have a ``write()`` or ``flush()`` method. + + Examples + -------- + Besides ``sys.stdout``, a file-like object can also be used as it has + both required methods: + + >>> from io import StringIO + >>> buf = StringIO() + >>> np.disp(u'"Display" in a file', device=buf) + >>> buf.getvalue() + '"Display" in a file\\n' + + """ + if device is None: + device = sys.stdout + if linefeed: + device.write('%s\n' % mesg) + else: + device.write('%s' % mesg) + device.flush() + return + + +# See https://docs.scipy.org/doc/numpy/reference/c-api.generalized-ufuncs.html +_DIMENSION_NAME = r'\w+' +_CORE_DIMENSION_LIST = '(?:{0:}(?:,{0:})*)?'.format(_DIMENSION_NAME) +_ARGUMENT = r'\({}\)'.format(_CORE_DIMENSION_LIST) +_ARGUMENT_LIST = '{0:}(?:,{0:})*'.format(_ARGUMENT) +_SIGNATURE = '^{0:}->{0:}$'.format(_ARGUMENT_LIST) + + +def _parse_gufunc_signature(signature): + """ + Parse string signatures for a generalized universal function. + + Arguments + --------- + signature : string + Generalized universal function signature, e.g., ``(m,n),(n,p)->(m,p)`` + for ``np.matmul``. + + Returns + ------- + Tuple of input and output core dimensions parsed from the signature, each + of the form List[Tuple[str, ...]]. + """ + signature = re.sub(r'\s+', '', signature) + + if not re.match(_SIGNATURE, signature): + raise ValueError( + 'not a valid gufunc signature: {}'.format(signature)) + return tuple([tuple(re.findall(_DIMENSION_NAME, arg)) + for arg in re.findall(_ARGUMENT, arg_list)] + for arg_list in signature.split('->')) + + +def _update_dim_sizes(dim_sizes, arg, core_dims): + """ + Incrementally check and update core dimension sizes for a single argument. + + Arguments + --------- + dim_sizes : Dict[str, int] + Sizes of existing core dimensions. Will be updated in-place. + arg : ndarray + Argument to examine. + core_dims : Tuple[str, ...] + Core dimensions for this argument. + """ + if not core_dims: + return + + num_core_dims = len(core_dims) + if arg.ndim < num_core_dims: + raise ValueError( + '%d-dimensional argument does not have enough ' + 'dimensions for all core dimensions %r' + % (arg.ndim, core_dims)) + + core_shape = arg.shape[-num_core_dims:] + for dim, size in zip(core_dims, core_shape): + if dim in dim_sizes: + if size != dim_sizes[dim]: + raise ValueError( + 'inconsistent size for core dimension %r: %r vs %r' + % (dim, size, dim_sizes[dim])) + else: + dim_sizes[dim] = size + + +def _parse_input_dimensions(args, input_core_dims): + """ + Parse broadcast and core dimensions for vectorize with a signature. + + Arguments + --------- + args : Tuple[ndarray, ...] + Tuple of input arguments to examine. + input_core_dims : List[Tuple[str, ...]] + List of core dimensions corresponding to each input. + + Returns + ------- + broadcast_shape : Tuple[int, ...] + Common shape to broadcast all non-core dimensions to. + dim_sizes : Dict[str, int] + Common sizes for named core dimensions. + """ + broadcast_args = [] + dim_sizes = {} + for arg, core_dims in zip(args, input_core_dims): + _update_dim_sizes(dim_sizes, arg, core_dims) + ndim = arg.ndim - len(core_dims) + dummy_array = np.lib.stride_tricks.as_strided(0, arg.shape[:ndim]) + broadcast_args.append(dummy_array) + broadcast_shape = np.lib.stride_tricks._broadcast_shape(*broadcast_args) + return broadcast_shape, dim_sizes + + +def _calculate_shapes(broadcast_shape, dim_sizes, list_of_core_dims): + """Helper for calculating broadcast shapes with core dimensions.""" + return [broadcast_shape + tuple(dim_sizes[dim] for dim in core_dims) + for core_dims in list_of_core_dims] + + +def _create_arrays(broadcast_shape, dim_sizes, list_of_core_dims, dtypes, + results=None): + """Helper for creating output arrays in vectorize.""" + shapes = _calculate_shapes(broadcast_shape, dim_sizes, list_of_core_dims) + if dtypes is None: + dtypes = [None] * len(shapes) + if results is None: + arrays = tuple(np.empty(shape=shape, dtype=dtype) + for shape, dtype in zip(shapes, dtypes)) + else: + arrays = tuple(np.empty_like(result, shape=shape, dtype=dtype) + for result, shape, dtype + in zip(results, shapes, dtypes)) + return arrays + + +@set_module('numpy') +class vectorize: + """ + vectorize(pyfunc=np._NoValue, otypes=None, doc=None, excluded=None, + cache=False, signature=None) + + Returns an object that acts like pyfunc, but takes arrays as input. + + Define a vectorized function which takes a nested sequence of objects or + numpy arrays as inputs and returns a single numpy array or a tuple of numpy + arrays. The vectorized function evaluates `pyfunc` over successive tuples + of the input arrays like the python map function, except it uses the + broadcasting rules of numpy. + + The data type of the output of `vectorized` is determined by calling + the function with the first element of the input. This can be avoided + by specifying the `otypes` argument. + + Parameters + ---------- + pyfunc : callable, optional + A python function or method. + Can be omitted to produce a decorator with keyword arguments. + otypes : str or list of dtypes, optional + The output data type. It must be specified as either a string of + typecode characters or a list of data type specifiers. There should + be one data type specifier for each output. + doc : str, optional + The docstring for the function. If None, the docstring will be the + ``pyfunc.__doc__``. + excluded : set, optional + Set of strings or integers representing the positional or keyword + arguments for which the function will not be vectorized. These will be + passed directly to `pyfunc` unmodified. + + .. versionadded:: 1.7.0 + + cache : bool, optional + If `True`, then cache the first function call that determines the number + of outputs if `otypes` is not provided. + + .. versionadded:: 1.7.0 + + signature : string, optional + Generalized universal function signature, e.g., ``(m,n),(n)->(m)`` for + vectorized matrix-vector multiplication. If provided, ``pyfunc`` will + be called with (and expected to return) arrays with shapes given by the + size of corresponding core dimensions. By default, ``pyfunc`` is + assumed to take scalars as input and output. + + .. versionadded:: 1.12.0 + + Returns + ------- + out : callable + A vectorized function if ``pyfunc`` was provided, + a decorator otherwise. + + See Also + -------- + frompyfunc : Takes an arbitrary Python function and returns a ufunc + + Notes + ----- + The `vectorize` function is provided primarily for convenience, not for + performance. The implementation is essentially a for loop. + + If `otypes` is not specified, then a call to the function with the + first argument will be used to determine the number of outputs. The + results of this call will be cached if `cache` is `True` to prevent + calling the function twice. However, to implement the cache, the + original function must be wrapped which will slow down subsequent + calls, so only do this if your function is expensive. + + The new keyword argument interface and `excluded` argument support + further degrades performance. + + References + ---------- + .. [1] :doc:`/reference/c-api/generalized-ufuncs` + + Examples + -------- + >>> def myfunc(a, b): + ... "Return a-b if a>b, otherwise return a+b" + ... if a > b: + ... return a - b + ... else: + ... return a + b + + >>> vfunc = np.vectorize(myfunc) + >>> vfunc([1, 2, 3, 4], 2) + array([3, 4, 1, 2]) + + The docstring is taken from the input function to `vectorize` unless it + is specified: + + >>> vfunc.__doc__ + 'Return a-b if a>b, otherwise return a+b' + >>> vfunc = np.vectorize(myfunc, doc='Vectorized `myfunc`') + >>> vfunc.__doc__ + 'Vectorized `myfunc`' + + The output type is determined by evaluating the first element of the input, + unless it is specified: + + >>> out = vfunc([1, 2, 3, 4], 2) + >>> type(out[0]) + + >>> vfunc = np.vectorize(myfunc, otypes=[float]) + >>> out = vfunc([1, 2, 3, 4], 2) + >>> type(out[0]) + + + The `excluded` argument can be used to prevent vectorizing over certain + arguments. This can be useful for array-like arguments of a fixed length + such as the coefficients for a polynomial as in `polyval`: + + >>> def mypolyval(p, x): + ... _p = list(p) + ... res = _p.pop(0) + ... while _p: + ... res = res*x + _p.pop(0) + ... return res + >>> vpolyval = np.vectorize(mypolyval, excluded=['p']) + >>> vpolyval(p=[1, 2, 3], x=[0, 1]) + array([3, 6]) + + Positional arguments may also be excluded by specifying their position: + + >>> vpolyval.excluded.add(0) + >>> vpolyval([1, 2, 3], x=[0, 1]) + array([3, 6]) + + The `signature` argument allows for vectorizing functions that act on + non-scalar arrays of fixed length. For example, you can use it for a + vectorized calculation of Pearson correlation coefficient and its p-value: + + >>> import scipy.stats + >>> pearsonr = np.vectorize(scipy.stats.pearsonr, + ... signature='(n),(n)->(),()') + >>> pearsonr([[0, 1, 2, 3]], [[1, 2, 3, 4], [4, 3, 2, 1]]) + (array([ 1., -1.]), array([ 0., 0.])) + + Or for a vectorized convolution: + + >>> convolve = np.vectorize(np.convolve, signature='(n),(m)->(k)') + >>> convolve(np.eye(4), [1, 2, 1]) + array([[1., 2., 1., 0., 0., 0.], + [0., 1., 2., 1., 0., 0.], + [0., 0., 1., 2., 1., 0.], + [0., 0., 0., 1., 2., 1.]]) + + Decorator syntax is supported. The decorator can be called as + a function to provide keyword arguments. + >>>@np.vectorize + ...def identity(x): + ... return x + ... + >>>identity([0, 1, 2]) + array([0, 1, 2]) + >>>@np.vectorize(otypes=[float]) + ...def as_float(x): + ... return x + ... + >>>as_float([0, 1, 2]) + array([0., 1., 2.]) + """ + def __init__(self, pyfunc=np._NoValue, otypes=None, doc=None, + excluded=None, cache=False, signature=None): + + if (pyfunc != np._NoValue) and (not callable(pyfunc)): + #Splitting the error message to keep + #the length below 79 characters. + part1 = "When used as a decorator, " + part2 = "only accepts keyword arguments." + raise TypeError(part1 + part2) + + self.pyfunc = pyfunc + self.cache = cache + self.signature = signature + if pyfunc != np._NoValue and hasattr(pyfunc, '__name__'): + self.__name__ = pyfunc.__name__ + + self._ufunc = {} # Caching to improve default performance + self._doc = None + self.__doc__ = doc + if doc is None and hasattr(pyfunc, '__doc__'): + self.__doc__ = pyfunc.__doc__ + else: + self._doc = doc + + if isinstance(otypes, str): + for char in otypes: + if char not in typecodes['All']: + raise ValueError("Invalid otype specified: %s" % (char,)) + elif iterable(otypes): + otypes = ''.join([_nx.dtype(x).char for x in otypes]) + elif otypes is not None: + raise ValueError("Invalid otype specification") + self.otypes = otypes + + # Excluded variable support + if excluded is None: + excluded = set() + self.excluded = set(excluded) + + if signature is not None: + self._in_and_out_core_dims = _parse_gufunc_signature(signature) + else: + self._in_and_out_core_dims = None + + def _init_stage_2(self, pyfunc, *args, **kwargs): + self.__name__ = pyfunc.__name__ + self.pyfunc = pyfunc + if self._doc is None: + self.__doc__ = pyfunc.__doc__ + else: + self.__doc__ = self._doc + + def _call_as_normal(self, *args, **kwargs): + """ + Return arrays with the results of `pyfunc` broadcast (vectorized) over + `args` and `kwargs` not in `excluded`. + """ + excluded = self.excluded + if not kwargs and not excluded: + func = self.pyfunc + vargs = args + else: + # The wrapper accepts only positional arguments: we use `names` and + # `inds` to mutate `the_args` and `kwargs` to pass to the original + # function. + nargs = len(args) + + names = [_n for _n in kwargs if _n not in excluded] + inds = [_i for _i in range(nargs) if _i not in excluded] + the_args = list(args) + + def func(*vargs): + for _n, _i in enumerate(inds): + the_args[_i] = vargs[_n] + kwargs.update(zip(names, vargs[len(inds):])) + return self.pyfunc(*the_args, **kwargs) + + vargs = [args[_i] for _i in inds] + vargs.extend([kwargs[_n] for _n in names]) + + return self._vectorize_call(func=func, args=vargs) + + def __call__(self, *args, **kwargs): + if self.pyfunc is np._NoValue: + self._init_stage_2(*args, **kwargs) + return self + + return self._call_as_normal(*args, **kwargs) + + def _get_ufunc_and_otypes(self, func, args): + """Return (ufunc, otypes).""" + # frompyfunc will fail if args is empty + if not args: + raise ValueError('args can not be empty') + + if self.otypes is not None: + otypes = self.otypes + + # self._ufunc is a dictionary whose keys are the number of + # arguments (i.e. len(args)) and whose values are ufuncs created + # by frompyfunc. len(args) can be different for different calls if + # self.pyfunc has parameters with default values. We only use the + # cache when func is self.pyfunc, which occurs when the call uses + # only positional arguments and no arguments are excluded. + + nin = len(args) + nout = len(self.otypes) + if func is not self.pyfunc or nin not in self._ufunc: + ufunc = frompyfunc(func, nin, nout) + else: + ufunc = None # We'll get it from self._ufunc + if func is self.pyfunc: + ufunc = self._ufunc.setdefault(nin, ufunc) + else: + # Get number of outputs and output types by calling the function on + # the first entries of args. We also cache the result to prevent + # the subsequent call when the ufunc is evaluated. + # Assumes that ufunc first evaluates the 0th elements in the input + # arrays (the input values are not checked to ensure this) + args = [asarray(arg) for arg in args] + if builtins.any(arg.size == 0 for arg in args): + raise ValueError('cannot call `vectorize` on size 0 inputs ' + 'unless `otypes` is set') + + inputs = [arg.flat[0] for arg in args] + outputs = func(*inputs) + + # Performance note: profiling indicates that -- for simple + # functions at least -- this wrapping can almost double the + # execution time. + # Hence we make it optional. + if self.cache: + _cache = [outputs] + + def _func(*vargs): + if _cache: + return _cache.pop() + else: + return func(*vargs) + else: + _func = func + + if isinstance(outputs, tuple): + nout = len(outputs) + else: + nout = 1 + outputs = (outputs,) + + otypes = ''.join([asarray(outputs[_k]).dtype.char + for _k in range(nout)]) + + # Performance note: profiling indicates that creating the ufunc is + # not a significant cost compared with wrapping so it seems not + # worth trying to cache this. + ufunc = frompyfunc(_func, len(args), nout) + + return ufunc, otypes + + def _vectorize_call(self, func, args): + """Vectorized call to `func` over positional `args`.""" + if self.signature is not None: + res = self._vectorize_call_with_signature(func, args) + elif not args: + res = func() + else: + ufunc, otypes = self._get_ufunc_and_otypes(func=func, args=args) + + # Convert args to object arrays first + inputs = [asanyarray(a, dtype=object) for a in args] + + outputs = ufunc(*inputs) + + if ufunc.nout == 1: + res = asanyarray(outputs, dtype=otypes[0]) + else: + res = tuple([asanyarray(x, dtype=t) + for x, t in zip(outputs, otypes)]) + return res + + def _vectorize_call_with_signature(self, func, args): + """Vectorized call over positional arguments with a signature.""" + input_core_dims, output_core_dims = self._in_and_out_core_dims + + if len(args) != len(input_core_dims): + raise TypeError('wrong number of positional arguments: ' + 'expected %r, got %r' + % (len(input_core_dims), len(args))) + args = tuple(asanyarray(arg) for arg in args) + + broadcast_shape, dim_sizes = _parse_input_dimensions( + args, input_core_dims) + input_shapes = _calculate_shapes(broadcast_shape, dim_sizes, + input_core_dims) + args = [np.broadcast_to(arg, shape, subok=True) + for arg, shape in zip(args, input_shapes)] + + outputs = None + otypes = self.otypes + nout = len(output_core_dims) + + for index in np.ndindex(*broadcast_shape): + results = func(*(arg[index] for arg in args)) + + n_results = len(results) if isinstance(results, tuple) else 1 + + if nout != n_results: + raise ValueError( + 'wrong number of outputs from pyfunc: expected %r, got %r' + % (nout, n_results)) + + if nout == 1: + results = (results,) + + if outputs is None: + for result, core_dims in zip(results, output_core_dims): + _update_dim_sizes(dim_sizes, result, core_dims) + + outputs = _create_arrays(broadcast_shape, dim_sizes, + output_core_dims, otypes, results) + + for output, result in zip(outputs, results): + output[index] = result + + if outputs is None: + # did not call the function even once + if otypes is None: + raise ValueError('cannot call `vectorize` on size 0 inputs ' + 'unless `otypes` is set') + if builtins.any(dim not in dim_sizes + for dims in output_core_dims + for dim in dims): + raise ValueError('cannot call `vectorize` with a signature ' + 'including new output dimensions on size 0 ' + 'inputs') + outputs = _create_arrays(broadcast_shape, dim_sizes, + output_core_dims, otypes) + + return outputs[0] if nout == 1 else outputs + + +def _cov_dispatcher(m, y=None, rowvar=None, bias=None, ddof=None, + fweights=None, aweights=None, *, dtype=None): + return (m, y, fweights, aweights) + + +@array_function_dispatch(_cov_dispatcher) +def cov(m, y=None, rowvar=True, bias=False, ddof=None, fweights=None, + aweights=None, *, dtype=None): + """ + Estimate a covariance matrix, given data and weights. + + Covariance indicates the level to which two variables vary together. + If we examine N-dimensional samples, :math:`X = [x_1, x_2, ... x_N]^T`, + then the covariance matrix element :math:`C_{ij}` is the covariance of + :math:`x_i` and :math:`x_j`. The element :math:`C_{ii}` is the variance + of :math:`x_i`. + + See the notes for an outline of the algorithm. + + Parameters + ---------- + m : array_like + A 1-D or 2-D array containing multiple variables and observations. + Each row of `m` represents a variable, and each column a single + observation of all those variables. Also see `rowvar` below. + y : array_like, optional + An additional set of variables and observations. `y` has the same form + as that of `m`. + rowvar : bool, optional + If `rowvar` is True (default), then each row represents a + variable, with observations in the columns. Otherwise, the relationship + is transposed: each column represents a variable, while the rows + contain observations. + bias : bool, optional + Default normalization (False) is by ``(N - 1)``, where ``N`` is the + number of observations given (unbiased estimate). If `bias` is True, + then normalization is by ``N``. These values can be overridden by using + the keyword ``ddof`` in numpy versions >= 1.5. + ddof : int, optional + If not ``None`` the default value implied by `bias` is overridden. + Note that ``ddof=1`` will return the unbiased estimate, even if both + `fweights` and `aweights` are specified, and ``ddof=0`` will return + the simple average. See the notes for the details. The default value + is ``None``. + + .. versionadded:: 1.5 + fweights : array_like, int, optional + 1-D array of integer frequency weights; the number of times each + observation vector should be repeated. + + .. versionadded:: 1.10 + aweights : array_like, optional + 1-D array of observation vector weights. These relative weights are + typically large for observations considered "important" and smaller for + observations considered less "important". If ``ddof=0`` the array of + weights can be used to assign probabilities to observation vectors. + + .. versionadded:: 1.10 + dtype : data-type, optional + Data-type of the result. By default, the return data-type will have + at least `numpy.float64` precision. + + .. versionadded:: 1.20 + + Returns + ------- + out : ndarray + The covariance matrix of the variables. + + See Also + -------- + corrcoef : Normalized covariance matrix + + Notes + ----- + Assume that the observations are in the columns of the observation + array `m` and let ``f = fweights`` and ``a = aweights`` for brevity. The + steps to compute the weighted covariance are as follows:: + + >>> m = np.arange(10, dtype=np.float64) + >>> f = np.arange(10) * 2 + >>> a = np.arange(10) ** 2. + >>> ddof = 1 + >>> w = f * a + >>> v1 = np.sum(w) + >>> v2 = np.sum(w * a) + >>> m -= np.sum(m * w, axis=None, keepdims=True) / v1 + >>> cov = np.dot(m * w, m.T) * v1 / (v1**2 - ddof * v2) + + Note that when ``a == 1``, the normalization factor + ``v1 / (v1**2 - ddof * v2)`` goes over to ``1 / (np.sum(f) - ddof)`` + as it should. + + Examples + -------- + Consider two variables, :math:`x_0` and :math:`x_1`, which + correlate perfectly, but in opposite directions: + + >>> x = np.array([[0, 2], [1, 1], [2, 0]]).T + >>> x + array([[0, 1, 2], + [2, 1, 0]]) + + Note how :math:`x_0` increases while :math:`x_1` decreases. The covariance + matrix shows this clearly: + + >>> np.cov(x) + array([[ 1., -1.], + [-1., 1.]]) + + Note that element :math:`C_{0,1}`, which shows the correlation between + :math:`x_0` and :math:`x_1`, is negative. + + Further, note how `x` and `y` are combined: + + >>> x = [-2.1, -1, 4.3] + >>> y = [3, 1.1, 0.12] + >>> X = np.stack((x, y), axis=0) + >>> np.cov(X) + array([[11.71 , -4.286 ], # may vary + [-4.286 , 2.144133]]) + >>> np.cov(x, y) + array([[11.71 , -4.286 ], # may vary + [-4.286 , 2.144133]]) + >>> np.cov(x) + array(11.71) + + """ + # Check inputs + if ddof is not None and ddof != int(ddof): + raise ValueError( + "ddof must be integer") + + # Handles complex arrays too + m = np.asarray(m) + if m.ndim > 2: + raise ValueError("m has more than 2 dimensions") + + if y is not None: + y = np.asarray(y) + if y.ndim > 2: + raise ValueError("y has more than 2 dimensions") + + if dtype is None: + if y is None: + dtype = np.result_type(m, np.float64) + else: + dtype = np.result_type(m, y, np.float64) + + X = array(m, ndmin=2, dtype=dtype) + if not rowvar and X.shape[0] != 1: + X = X.T + if X.shape[0] == 0: + return np.array([]).reshape(0, 0) + if y is not None: + y = array(y, copy=False, ndmin=2, dtype=dtype) + if not rowvar and y.shape[0] != 1: + y = y.T + X = np.concatenate((X, y), axis=0) + + if ddof is None: + if bias == 0: + ddof = 1 + else: + ddof = 0 + + # Get the product of frequencies and weights + w = None + if fweights is not None: + fweights = np.asarray(fweights, dtype=float) + if not np.all(fweights == np.around(fweights)): + raise TypeError( + "fweights must be integer") + if fweights.ndim > 1: + raise RuntimeError( + "cannot handle multidimensional fweights") + if fweights.shape[0] != X.shape[1]: + raise RuntimeError( + "incompatible numbers of samples and fweights") + if any(fweights < 0): + raise ValueError( + "fweights cannot be negative") + w = fweights + if aweights is not None: + aweights = np.asarray(aweights, dtype=float) + if aweights.ndim > 1: + raise RuntimeError( + "cannot handle multidimensional aweights") + if aweights.shape[0] != X.shape[1]: + raise RuntimeError( + "incompatible numbers of samples and aweights") + if any(aweights < 0): + raise ValueError( + "aweights cannot be negative") + if w is None: + w = aweights + else: + w *= aweights + + avg, w_sum = average(X, axis=1, weights=w, returned=True) + w_sum = w_sum[0] + + # Determine the normalization + if w is None: + fact = X.shape[1] - ddof + elif ddof == 0: + fact = w_sum + elif aweights is None: + fact = w_sum - ddof + else: + fact = w_sum - ddof*sum(w*aweights)/w_sum + + if fact <= 0: + warnings.warn("Degrees of freedom <= 0 for slice", + RuntimeWarning, stacklevel=2) + fact = 0.0 + + X -= avg[:, None] + if w is None: + X_T = X.T + else: + X_T = (X*w).T + c = dot(X, X_T.conj()) + c *= np.true_divide(1, fact) + return c.squeeze() + + +def _corrcoef_dispatcher(x, y=None, rowvar=None, bias=None, ddof=None, *, + dtype=None): + return (x, y) + + +@array_function_dispatch(_corrcoef_dispatcher) +def corrcoef(x, y=None, rowvar=True, bias=np._NoValue, ddof=np._NoValue, *, + dtype=None): + """ + Return Pearson product-moment correlation coefficients. + + Please refer to the documentation for `cov` for more detail. The + relationship between the correlation coefficient matrix, `R`, and the + covariance matrix, `C`, is + + .. math:: R_{ij} = \\frac{ C_{ij} } { \\sqrt{ C_{ii} C_{jj} } } + + The values of `R` are between -1 and 1, inclusive. + + Parameters + ---------- + x : array_like + A 1-D or 2-D array containing multiple variables and observations. + Each row of `x` represents a variable, and each column a single + observation of all those variables. Also see `rowvar` below. + y : array_like, optional + An additional set of variables and observations. `y` has the same + shape as `x`. + rowvar : bool, optional + If `rowvar` is True (default), then each row represents a + variable, with observations in the columns. Otherwise, the relationship + is transposed: each column represents a variable, while the rows + contain observations. + bias : _NoValue, optional + Has no effect, do not use. + + .. deprecated:: 1.10.0 + ddof : _NoValue, optional + Has no effect, do not use. + + .. deprecated:: 1.10.0 + dtype : data-type, optional + Data-type of the result. By default, the return data-type will have + at least `numpy.float64` precision. + + .. versionadded:: 1.20 + + Returns + ------- + R : ndarray + The correlation coefficient matrix of the variables. + + See Also + -------- + cov : Covariance matrix + + Notes + ----- + Due to floating point rounding the resulting array may not be Hermitian, + the diagonal elements may not be 1, and the elements may not satisfy the + inequality abs(a) <= 1. The real and imaginary parts are clipped to the + interval [-1, 1] in an attempt to improve on that situation but is not + much help in the complex case. + + This function accepts but discards arguments `bias` and `ddof`. This is + for backwards compatibility with previous versions of this function. These + arguments had no effect on the return values of the function and can be + safely ignored in this and previous versions of numpy. + + Examples + -------- + In this example we generate two random arrays, ``xarr`` and ``yarr``, and + compute the row-wise and column-wise Pearson correlation coefficients, + ``R``. Since ``rowvar`` is true by default, we first find the row-wise + Pearson correlation coefficients between the variables of ``xarr``. + + >>> import numpy as np + >>> rng = np.random.default_rng(seed=42) + >>> xarr = rng.random((3, 3)) + >>> xarr + array([[0.77395605, 0.43887844, 0.85859792], + [0.69736803, 0.09417735, 0.97562235], + [0.7611397 , 0.78606431, 0.12811363]]) + >>> R1 = np.corrcoef(xarr) + >>> R1 + array([[ 1. , 0.99256089, -0.68080986], + [ 0.99256089, 1. , -0.76492172], + [-0.68080986, -0.76492172, 1. ]]) + + If we add another set of variables and observations ``yarr``, we can + compute the row-wise Pearson correlation coefficients between the + variables in ``xarr`` and ``yarr``. + + >>> yarr = rng.random((3, 3)) + >>> yarr + array([[0.45038594, 0.37079802, 0.92676499], + [0.64386512, 0.82276161, 0.4434142 ], + [0.22723872, 0.55458479, 0.06381726]]) + >>> R2 = np.corrcoef(xarr, yarr) + >>> R2 + array([[ 1. , 0.99256089, -0.68080986, 0.75008178, -0.934284 , + -0.99004057], + [ 0.99256089, 1. , -0.76492172, 0.82502011, -0.97074098, + -0.99981569], + [-0.68080986, -0.76492172, 1. , -0.99507202, 0.89721355, + 0.77714685], + [ 0.75008178, 0.82502011, -0.99507202, 1. , -0.93657855, + -0.83571711], + [-0.934284 , -0.97074098, 0.89721355, -0.93657855, 1. , + 0.97517215], + [-0.99004057, -0.99981569, 0.77714685, -0.83571711, 0.97517215, + 1. ]]) + + Finally if we use the option ``rowvar=False``, the columns are now + being treated as the variables and we will find the column-wise Pearson + correlation coefficients between variables in ``xarr`` and ``yarr``. + + >>> R3 = np.corrcoef(xarr, yarr, rowvar=False) + >>> R3 + array([[ 1. , 0.77598074, -0.47458546, -0.75078643, -0.9665554 , + 0.22423734], + [ 0.77598074, 1. , -0.92346708, -0.99923895, -0.58826587, + -0.44069024], + [-0.47458546, -0.92346708, 1. , 0.93773029, 0.23297648, + 0.75137473], + [-0.75078643, -0.99923895, 0.93773029, 1. , 0.55627469, + 0.47536961], + [-0.9665554 , -0.58826587, 0.23297648, 0.55627469, 1. , + -0.46666491], + [ 0.22423734, -0.44069024, 0.75137473, 0.47536961, -0.46666491, + 1. ]]) + + """ + if bias is not np._NoValue or ddof is not np._NoValue: + # 2015-03-15, 1.10 + warnings.warn('bias and ddof have no effect and are deprecated', + DeprecationWarning, stacklevel=2) + c = cov(x, y, rowvar, dtype=dtype) + try: + d = diag(c) + except ValueError: + # scalar covariance + # nan if incorrect value (nan, inf, 0), 1 otherwise + return c / c + stddev = sqrt(d.real) + c /= stddev[:, None] + c /= stddev[None, :] + + # Clip real and imaginary parts to [-1, 1]. This does not guarantee + # abs(a[i,j]) <= 1 for complex arrays, but is the best we can do without + # excessive work. + np.clip(c.real, -1, 1, out=c.real) + if np.iscomplexobj(c): + np.clip(c.imag, -1, 1, out=c.imag) + + return c + + +@set_module('numpy') +def blackman(M): + """ + Return the Blackman window. + + The Blackman window is a taper formed by using the first three + terms of a summation of cosines. It was designed to have close to the + minimal leakage possible. It is close to optimal, only slightly worse + than a Kaiser window. + + Parameters + ---------- + M : int + Number of points in the output window. If zero or less, an empty + array is returned. + + Returns + ------- + out : ndarray + The window, with the maximum value normalized to one (the value one + appears only if the number of samples is odd). + + See Also + -------- + bartlett, hamming, hanning, kaiser + + Notes + ----- + The Blackman window is defined as + + .. math:: w(n) = 0.42 - 0.5 \\cos(2\\pi n/M) + 0.08 \\cos(4\\pi n/M) + + Most references to the Blackman window come from the signal processing + literature, where it is used as one of many windowing functions for + smoothing values. It is also known as an apodization (which means + "removing the foot", i.e. smoothing discontinuities at the beginning + and end of the sampled signal) or tapering function. It is known as a + "near optimal" tapering function, almost as good (by some measures) + as the kaiser window. + + References + ---------- + Blackman, R.B. and Tukey, J.W., (1958) The measurement of power spectra, + Dover Publications, New York. + + Oppenheim, A.V., and R.W. Schafer. Discrete-Time Signal Processing. + Upper Saddle River, NJ: Prentice-Hall, 1999, pp. 468-471. + + Examples + -------- + >>> import matplotlib.pyplot as plt + >>> np.blackman(12) + array([-1.38777878e-17, 3.26064346e-02, 1.59903635e-01, # may vary + 4.14397981e-01, 7.36045180e-01, 9.67046769e-01, + 9.67046769e-01, 7.36045180e-01, 4.14397981e-01, + 1.59903635e-01, 3.26064346e-02, -1.38777878e-17]) + + Plot the window and the frequency response: + + >>> from numpy.fft import fft, fftshift + >>> window = np.blackman(51) + >>> plt.plot(window) + [] + >>> plt.title("Blackman window") + Text(0.5, 1.0, 'Blackman window') + >>> plt.ylabel("Amplitude") + Text(0, 0.5, 'Amplitude') + >>> plt.xlabel("Sample") + Text(0.5, 0, 'Sample') + >>> plt.show() + + >>> plt.figure() +
+ >>> A = fft(window, 2048) / 25.5 + >>> mag = np.abs(fftshift(A)) + >>> freq = np.linspace(-0.5, 0.5, len(A)) + >>> with np.errstate(divide='ignore', invalid='ignore'): + ... response = 20 * np.log10(mag) + ... + >>> response = np.clip(response, -100, 100) + >>> plt.plot(freq, response) + [] + >>> plt.title("Frequency response of Blackman window") + Text(0.5, 1.0, 'Frequency response of Blackman window') + >>> plt.ylabel("Magnitude [dB]") + Text(0, 0.5, 'Magnitude [dB]') + >>> plt.xlabel("Normalized frequency [cycles per sample]") + Text(0.5, 0, 'Normalized frequency [cycles per sample]') + >>> _ = plt.axis('tight') + >>> plt.show() + + """ + # Ensures at least float64 via 0.0. M should be an integer, but conversion + # to double is safe for a range. + values = np.array([0.0, M]) + M = values[1] + + if M < 1: + return array([], dtype=values.dtype) + if M == 1: + return ones(1, dtype=values.dtype) + n = arange(1-M, M, 2) + return 0.42 + 0.5*cos(pi*n/(M-1)) + 0.08*cos(2.0*pi*n/(M-1)) + + +@set_module('numpy') +def bartlett(M): + """ + Return the Bartlett window. + + The Bartlett window is very similar to a triangular window, except + that the end points are at zero. It is often used in signal + processing for tapering a signal, without generating too much + ripple in the frequency domain. + + Parameters + ---------- + M : int + Number of points in the output window. If zero or less, an + empty array is returned. + + Returns + ------- + out : array + The triangular window, with the maximum value normalized to one + (the value one appears only if the number of samples is odd), with + the first and last samples equal to zero. + + See Also + -------- + blackman, hamming, hanning, kaiser + + Notes + ----- + The Bartlett window is defined as + + .. math:: w(n) = \\frac{2}{M-1} \\left( + \\frac{M-1}{2} - \\left|n - \\frac{M-1}{2}\\right| + \\right) + + Most references to the Bartlett window come from the signal processing + literature, where it is used as one of many windowing functions for + smoothing values. Note that convolution with this window produces linear + interpolation. It is also known as an apodization (which means "removing + the foot", i.e. smoothing discontinuities at the beginning and end of the + sampled signal) or tapering function. The Fourier transform of the + Bartlett window is the product of two sinc functions. Note the excellent + discussion in Kanasewich [2]_. + + References + ---------- + .. [1] M.S. Bartlett, "Periodogram Analysis and Continuous Spectra", + Biometrika 37, 1-16, 1950. + .. [2] E.R. Kanasewich, "Time Sequence Analysis in Geophysics", + The University of Alberta Press, 1975, pp. 109-110. + .. [3] A.V. Oppenheim and R.W. Schafer, "Discrete-Time Signal + Processing", Prentice-Hall, 1999, pp. 468-471. + .. [4] Wikipedia, "Window function", + https://en.wikipedia.org/wiki/Window_function + .. [5] W.H. Press, B.P. Flannery, S.A. Teukolsky, and W.T. Vetterling, + "Numerical Recipes", Cambridge University Press, 1986, page 429. + + Examples + -------- + >>> import matplotlib.pyplot as plt + >>> np.bartlett(12) + array([ 0. , 0.18181818, 0.36363636, 0.54545455, 0.72727273, # may vary + 0.90909091, 0.90909091, 0.72727273, 0.54545455, 0.36363636, + 0.18181818, 0. ]) + + Plot the window and its frequency response (requires SciPy and matplotlib): + + >>> from numpy.fft import fft, fftshift + >>> window = np.bartlett(51) + >>> plt.plot(window) + [] + >>> plt.title("Bartlett window") + Text(0.5, 1.0, 'Bartlett window') + >>> plt.ylabel("Amplitude") + Text(0, 0.5, 'Amplitude') + >>> plt.xlabel("Sample") + Text(0.5, 0, 'Sample') + >>> plt.show() + + >>> plt.figure() +
+ >>> A = fft(window, 2048) / 25.5 + >>> mag = np.abs(fftshift(A)) + >>> freq = np.linspace(-0.5, 0.5, len(A)) + >>> with np.errstate(divide='ignore', invalid='ignore'): + ... response = 20 * np.log10(mag) + ... + >>> response = np.clip(response, -100, 100) + >>> plt.plot(freq, response) + [] + >>> plt.title("Frequency response of Bartlett window") + Text(0.5, 1.0, 'Frequency response of Bartlett window') + >>> plt.ylabel("Magnitude [dB]") + Text(0, 0.5, 'Magnitude [dB]') + >>> plt.xlabel("Normalized frequency [cycles per sample]") + Text(0.5, 0, 'Normalized frequency [cycles per sample]') + >>> _ = plt.axis('tight') + >>> plt.show() + + """ + # Ensures at least float64 via 0.0. M should be an integer, but conversion + # to double is safe for a range. + values = np.array([0.0, M]) + M = values[1] + + if M < 1: + return array([], dtype=values.dtype) + if M == 1: + return ones(1, dtype=values.dtype) + n = arange(1-M, M, 2) + return where(less_equal(n, 0), 1 + n/(M-1), 1 - n/(M-1)) + + +@set_module('numpy') +def hanning(M): + """ + Return the Hanning window. + + The Hanning window is a taper formed by using a weighted cosine. + + Parameters + ---------- + M : int + Number of points in the output window. If zero or less, an + empty array is returned. + + Returns + ------- + out : ndarray, shape(M,) + The window, with the maximum value normalized to one (the value + one appears only if `M` is odd). + + See Also + -------- + bartlett, blackman, hamming, kaiser + + Notes + ----- + The Hanning window is defined as + + .. math:: w(n) = 0.5 - 0.5\\cos\\left(\\frac{2\\pi{n}}{M-1}\\right) + \\qquad 0 \\leq n \\leq M-1 + + The Hanning was named for Julius von Hann, an Austrian meteorologist. + It is also known as the Cosine Bell. Some authors prefer that it be + called a Hann window, to help avoid confusion with the very similar + Hamming window. + + Most references to the Hanning window come from the signal processing + literature, where it is used as one of many windowing functions for + smoothing values. It is also known as an apodization (which means + "removing the foot", i.e. smoothing discontinuities at the beginning + and end of the sampled signal) or tapering function. + + References + ---------- + .. [1] Blackman, R.B. and Tukey, J.W., (1958) The measurement of power + spectra, Dover Publications, New York. + .. [2] E.R. Kanasewich, "Time Sequence Analysis in Geophysics", + The University of Alberta Press, 1975, pp. 106-108. + .. [3] Wikipedia, "Window function", + https://en.wikipedia.org/wiki/Window_function + .. [4] W.H. Press, B.P. Flannery, S.A. Teukolsky, and W.T. Vetterling, + "Numerical Recipes", Cambridge University Press, 1986, page 425. + + Examples + -------- + >>> np.hanning(12) + array([0. , 0.07937323, 0.29229249, 0.57115742, 0.82743037, + 0.97974649, 0.97974649, 0.82743037, 0.57115742, 0.29229249, + 0.07937323, 0. ]) + + Plot the window and its frequency response: + + >>> import matplotlib.pyplot as plt + >>> from numpy.fft import fft, fftshift + >>> window = np.hanning(51) + >>> plt.plot(window) + [] + >>> plt.title("Hann window") + Text(0.5, 1.0, 'Hann window') + >>> plt.ylabel("Amplitude") + Text(0, 0.5, 'Amplitude') + >>> plt.xlabel("Sample") + Text(0.5, 0, 'Sample') + >>> plt.show() + + >>> plt.figure() +
+ >>> A = fft(window, 2048) / 25.5 + >>> mag = np.abs(fftshift(A)) + >>> freq = np.linspace(-0.5, 0.5, len(A)) + >>> with np.errstate(divide='ignore', invalid='ignore'): + ... response = 20 * np.log10(mag) + ... + >>> response = np.clip(response, -100, 100) + >>> plt.plot(freq, response) + [] + >>> plt.title("Frequency response of the Hann window") + Text(0.5, 1.0, 'Frequency response of the Hann window') + >>> plt.ylabel("Magnitude [dB]") + Text(0, 0.5, 'Magnitude [dB]') + >>> plt.xlabel("Normalized frequency [cycles per sample]") + Text(0.5, 0, 'Normalized frequency [cycles per sample]') + >>> plt.axis('tight') + ... + >>> plt.show() + + """ + # Ensures at least float64 via 0.0. M should be an integer, but conversion + # to double is safe for a range. + values = np.array([0.0, M]) + M = values[1] + + if M < 1: + return array([], dtype=values.dtype) + if M == 1: + return ones(1, dtype=values.dtype) + n = arange(1-M, M, 2) + return 0.5 + 0.5*cos(pi*n/(M-1)) + + +@set_module('numpy') +def hamming(M): + """ + Return the Hamming window. + + The Hamming window is a taper formed by using a weighted cosine. + + Parameters + ---------- + M : int + Number of points in the output window. If zero or less, an + empty array is returned. + + Returns + ------- + out : ndarray + The window, with the maximum value normalized to one (the value + one appears only if the number of samples is odd). + + See Also + -------- + bartlett, blackman, hanning, kaiser + + Notes + ----- + The Hamming window is defined as + + .. math:: w(n) = 0.54 - 0.46\\cos\\left(\\frac{2\\pi{n}}{M-1}\\right) + \\qquad 0 \\leq n \\leq M-1 + + The Hamming was named for R. W. Hamming, an associate of J. W. Tukey + and is described in Blackman and Tukey. It was recommended for + smoothing the truncated autocovariance function in the time domain. + Most references to the Hamming window come from the signal processing + literature, where it is used as one of many windowing functions for + smoothing values. It is also known as an apodization (which means + "removing the foot", i.e. smoothing discontinuities at the beginning + and end of the sampled signal) or tapering function. + + References + ---------- + .. [1] Blackman, R.B. and Tukey, J.W., (1958) The measurement of power + spectra, Dover Publications, New York. + .. [2] E.R. Kanasewich, "Time Sequence Analysis in Geophysics", The + University of Alberta Press, 1975, pp. 109-110. + .. [3] Wikipedia, "Window function", + https://en.wikipedia.org/wiki/Window_function + .. [4] W.H. Press, B.P. Flannery, S.A. Teukolsky, and W.T. Vetterling, + "Numerical Recipes", Cambridge University Press, 1986, page 425. + + Examples + -------- + >>> np.hamming(12) + array([ 0.08 , 0.15302337, 0.34890909, 0.60546483, 0.84123594, # may vary + 0.98136677, 0.98136677, 0.84123594, 0.60546483, 0.34890909, + 0.15302337, 0.08 ]) + + Plot the window and the frequency response: + + >>> import matplotlib.pyplot as plt + >>> from numpy.fft import fft, fftshift + >>> window = np.hamming(51) + >>> plt.plot(window) + [] + >>> plt.title("Hamming window") + Text(0.5, 1.0, 'Hamming window') + >>> plt.ylabel("Amplitude") + Text(0, 0.5, 'Amplitude') + >>> plt.xlabel("Sample") + Text(0.5, 0, 'Sample') + >>> plt.show() + + >>> plt.figure() +
+ >>> A = fft(window, 2048) / 25.5 + >>> mag = np.abs(fftshift(A)) + >>> freq = np.linspace(-0.5, 0.5, len(A)) + >>> response = 20 * np.log10(mag) + >>> response = np.clip(response, -100, 100) + >>> plt.plot(freq, response) + [] + >>> plt.title("Frequency response of Hamming window") + Text(0.5, 1.0, 'Frequency response of Hamming window') + >>> plt.ylabel("Magnitude [dB]") + Text(0, 0.5, 'Magnitude [dB]') + >>> plt.xlabel("Normalized frequency [cycles per sample]") + Text(0.5, 0, 'Normalized frequency [cycles per sample]') + >>> plt.axis('tight') + ... + >>> plt.show() + + """ + # Ensures at least float64 via 0.0. M should be an integer, but conversion + # to double is safe for a range. + values = np.array([0.0, M]) + M = values[1] + + if M < 1: + return array([], dtype=values.dtype) + if M == 1: + return ones(1, dtype=values.dtype) + n = arange(1-M, M, 2) + return 0.54 + 0.46*cos(pi*n/(M-1)) + + +## Code from cephes for i0 + +_i0A = [ + -4.41534164647933937950E-18, + 3.33079451882223809783E-17, + -2.43127984654795469359E-16, + 1.71539128555513303061E-15, + -1.16853328779934516808E-14, + 7.67618549860493561688E-14, + -4.85644678311192946090E-13, + 2.95505266312963983461E-12, + -1.72682629144155570723E-11, + 9.67580903537323691224E-11, + -5.18979560163526290666E-10, + 2.65982372468238665035E-9, + -1.30002500998624804212E-8, + 6.04699502254191894932E-8, + -2.67079385394061173391E-7, + 1.11738753912010371815E-6, + -4.41673835845875056359E-6, + 1.64484480707288970893E-5, + -5.75419501008210370398E-5, + 1.88502885095841655729E-4, + -5.76375574538582365885E-4, + 1.63947561694133579842E-3, + -4.32430999505057594430E-3, + 1.05464603945949983183E-2, + -2.37374148058994688156E-2, + 4.93052842396707084878E-2, + -9.49010970480476444210E-2, + 1.71620901522208775349E-1, + -3.04682672343198398683E-1, + 6.76795274409476084995E-1 + ] + +_i0B = [ + -7.23318048787475395456E-18, + -4.83050448594418207126E-18, + 4.46562142029675999901E-17, + 3.46122286769746109310E-17, + -2.82762398051658348494E-16, + -3.42548561967721913462E-16, + 1.77256013305652638360E-15, + 3.81168066935262242075E-15, + -9.55484669882830764870E-15, + -4.15056934728722208663E-14, + 1.54008621752140982691E-14, + 3.85277838274214270114E-13, + 7.18012445138366623367E-13, + -1.79417853150680611778E-12, + -1.32158118404477131188E-11, + -3.14991652796324136454E-11, + 1.18891471078464383424E-11, + 4.94060238822496958910E-10, + 3.39623202570838634515E-9, + 2.26666899049817806459E-8, + 2.04891858946906374183E-7, + 2.89137052083475648297E-6, + 6.88975834691682398426E-5, + 3.36911647825569408990E-3, + 8.04490411014108831608E-1 + ] + + +def _chbevl(x, vals): + b0 = vals[0] + b1 = 0.0 + + for i in range(1, len(vals)): + b2 = b1 + b1 = b0 + b0 = x*b1 - b2 + vals[i] + + return 0.5*(b0 - b2) + + +def _i0_1(x): + return exp(x) * _chbevl(x/2.0-2, _i0A) + + +def _i0_2(x): + return exp(x) * _chbevl(32.0/x - 2.0, _i0B) / sqrt(x) + + +def _i0_dispatcher(x): + return (x,) + + +@array_function_dispatch(_i0_dispatcher) +def i0(x): + """ + Modified Bessel function of the first kind, order 0. + + Usually denoted :math:`I_0`. + + Parameters + ---------- + x : array_like of float + Argument of the Bessel function. + + Returns + ------- + out : ndarray, shape = x.shape, dtype = float + The modified Bessel function evaluated at each of the elements of `x`. + + See Also + -------- + scipy.special.i0, scipy.special.iv, scipy.special.ive + + Notes + ----- + The scipy implementation is recommended over this function: it is a + proper ufunc written in C, and more than an order of magnitude faster. + + We use the algorithm published by Clenshaw [1]_ and referenced by + Abramowitz and Stegun [2]_, for which the function domain is + partitioned into the two intervals [0,8] and (8,inf), and Chebyshev + polynomial expansions are employed in each interval. Relative error on + the domain [0,30] using IEEE arithmetic is documented [3]_ as having a + peak of 5.8e-16 with an rms of 1.4e-16 (n = 30000). + + References + ---------- + .. [1] C. W. Clenshaw, "Chebyshev series for mathematical functions", in + *National Physical Laboratory Mathematical Tables*, vol. 5, London: + Her Majesty's Stationery Office, 1962. + .. [2] M. Abramowitz and I. A. Stegun, *Handbook of Mathematical + Functions*, 10th printing, New York: Dover, 1964, pp. 379. + https://personal.math.ubc.ca/~cbm/aands/page_379.htm + .. [3] https://metacpan.org/pod/distribution/Math-Cephes/lib/Math/Cephes.pod#i0:-Modified-Bessel-function-of-order-zero + + Examples + -------- + >>> np.i0(0.) + array(1.0) + >>> np.i0([0, 1, 2, 3]) + array([1. , 1.26606588, 2.2795853 , 4.88079259]) + + """ + x = np.asanyarray(x) + if x.dtype.kind == 'c': + raise TypeError("i0 not supported for complex values") + if x.dtype.kind != 'f': + x = x.astype(float) + x = np.abs(x) + return piecewise(x, [x <= 8.0], [_i0_1, _i0_2]) + +## End of cephes code for i0 + + +@set_module('numpy') +def kaiser(M, beta): + """ + Return the Kaiser window. + + The Kaiser window is a taper formed by using a Bessel function. + + Parameters + ---------- + M : int + Number of points in the output window. If zero or less, an + empty array is returned. + beta : float + Shape parameter for window. + + Returns + ------- + out : array + The window, with the maximum value normalized to one (the value + one appears only if the number of samples is odd). + + See Also + -------- + bartlett, blackman, hamming, hanning + + Notes + ----- + The Kaiser window is defined as + + .. math:: w(n) = I_0\\left( \\beta \\sqrt{1-\\frac{4n^2}{(M-1)^2}} + \\right)/I_0(\\beta) + + with + + .. math:: \\quad -\\frac{M-1}{2} \\leq n \\leq \\frac{M-1}{2}, + + where :math:`I_0` is the modified zeroth-order Bessel function. + + The Kaiser was named for Jim Kaiser, who discovered a simple + approximation to the DPSS window based on Bessel functions. The Kaiser + window is a very good approximation to the Digital Prolate Spheroidal + Sequence, or Slepian window, which is the transform which maximizes the + energy in the main lobe of the window relative to total energy. + + The Kaiser can approximate many other windows by varying the beta + parameter. + + ==== ======================= + beta Window shape + ==== ======================= + 0 Rectangular + 5 Similar to a Hamming + 6 Similar to a Hanning + 8.6 Similar to a Blackman + ==== ======================= + + A beta value of 14 is probably a good starting point. Note that as beta + gets large, the window narrows, and so the number of samples needs to be + large enough to sample the increasingly narrow spike, otherwise NaNs will + get returned. + + Most references to the Kaiser window come from the signal processing + literature, where it is used as one of many windowing functions for + smoothing values. It is also known as an apodization (which means + "removing the foot", i.e. smoothing discontinuities at the beginning + and end of the sampled signal) or tapering function. + + References + ---------- + .. [1] J. F. Kaiser, "Digital Filters" - Ch 7 in "Systems analysis by + digital computer", Editors: F.F. Kuo and J.F. Kaiser, p 218-285. + John Wiley and Sons, New York, (1966). + .. [2] E.R. Kanasewich, "Time Sequence Analysis in Geophysics", The + University of Alberta Press, 1975, pp. 177-178. + .. [3] Wikipedia, "Window function", + https://en.wikipedia.org/wiki/Window_function + + Examples + -------- + >>> import matplotlib.pyplot as plt + >>> np.kaiser(12, 14) + array([7.72686684e-06, 3.46009194e-03, 4.65200189e-02, # may vary + 2.29737120e-01, 5.99885316e-01, 9.45674898e-01, + 9.45674898e-01, 5.99885316e-01, 2.29737120e-01, + 4.65200189e-02, 3.46009194e-03, 7.72686684e-06]) + + + Plot the window and the frequency response: + + >>> from numpy.fft import fft, fftshift + >>> window = np.kaiser(51, 14) + >>> plt.plot(window) + [] + >>> plt.title("Kaiser window") + Text(0.5, 1.0, 'Kaiser window') + >>> plt.ylabel("Amplitude") + Text(0, 0.5, 'Amplitude') + >>> plt.xlabel("Sample") + Text(0.5, 0, 'Sample') + >>> plt.show() + + >>> plt.figure() +
+ >>> A = fft(window, 2048) / 25.5 + >>> mag = np.abs(fftshift(A)) + >>> freq = np.linspace(-0.5, 0.5, len(A)) + >>> response = 20 * np.log10(mag) + >>> response = np.clip(response, -100, 100) + >>> plt.plot(freq, response) + [] + >>> plt.title("Frequency response of Kaiser window") + Text(0.5, 1.0, 'Frequency response of Kaiser window') + >>> plt.ylabel("Magnitude [dB]") + Text(0, 0.5, 'Magnitude [dB]') + >>> plt.xlabel("Normalized frequency [cycles per sample]") + Text(0.5, 0, 'Normalized frequency [cycles per sample]') + >>> plt.axis('tight') + (-0.5, 0.5, -100.0, ...) # may vary + >>> plt.show() + + """ + # Ensures at least float64 via 0.0. M should be an integer, but conversion + # to double is safe for a range. (Simplified result_type with 0.0 + # strongly typed. result-type is not/less order sensitive, but that mainly + # matters for integers anyway.) + values = np.array([0.0, M, beta]) + M = values[1] + beta = values[2] + + if M == 1: + return np.ones(1, dtype=values.dtype) + n = arange(0, M) + alpha = (M-1)/2.0 + return i0(beta * sqrt(1-((n-alpha)/alpha)**2.0))/i0(beta) + + +def _sinc_dispatcher(x): + return (x,) + + +@array_function_dispatch(_sinc_dispatcher) +def sinc(x): + r""" + Return the normalized sinc function. + + The sinc function is equal to :math:`\sin(\pi x)/(\pi x)` for any argument + :math:`x\ne 0`. ``sinc(0)`` takes the limit value 1, making ``sinc`` not + only everywhere continuous but also infinitely differentiable. + + .. note:: + + Note the normalization factor of ``pi`` used in the definition. + This is the most commonly used definition in signal processing. + Use ``sinc(x / np.pi)`` to obtain the unnormalized sinc function + :math:`\sin(x)/x` that is more common in mathematics. + + Parameters + ---------- + x : ndarray + Array (possibly multi-dimensional) of values for which to calculate + ``sinc(x)``. + + Returns + ------- + out : ndarray + ``sinc(x)``, which has the same shape as the input. + + Notes + ----- + The name sinc is short for "sine cardinal" or "sinus cardinalis". + + The sinc function is used in various signal processing applications, + including in anti-aliasing, in the construction of a Lanczos resampling + filter, and in interpolation. + + For bandlimited interpolation of discrete-time signals, the ideal + interpolation kernel is proportional to the sinc function. + + References + ---------- + .. [1] Weisstein, Eric W. "Sinc Function." From MathWorld--A Wolfram Web + Resource. http://mathworld.wolfram.com/SincFunction.html + .. [2] Wikipedia, "Sinc function", + https://en.wikipedia.org/wiki/Sinc_function + + Examples + -------- + >>> import matplotlib.pyplot as plt + >>> x = np.linspace(-4, 4, 41) + >>> np.sinc(x) + array([-3.89804309e-17, -4.92362781e-02, -8.40918587e-02, # may vary + -8.90384387e-02, -5.84680802e-02, 3.89804309e-17, + 6.68206631e-02, 1.16434881e-01, 1.26137788e-01, + 8.50444803e-02, -3.89804309e-17, -1.03943254e-01, + -1.89206682e-01, -2.16236208e-01, -1.55914881e-01, + 3.89804309e-17, 2.33872321e-01, 5.04551152e-01, + 7.56826729e-01, 9.35489284e-01, 1.00000000e+00, + 9.35489284e-01, 7.56826729e-01, 5.04551152e-01, + 2.33872321e-01, 3.89804309e-17, -1.55914881e-01, + -2.16236208e-01, -1.89206682e-01, -1.03943254e-01, + -3.89804309e-17, 8.50444803e-02, 1.26137788e-01, + 1.16434881e-01, 6.68206631e-02, 3.89804309e-17, + -5.84680802e-02, -8.90384387e-02, -8.40918587e-02, + -4.92362781e-02, -3.89804309e-17]) + + >>> plt.plot(x, np.sinc(x)) + [] + >>> plt.title("Sinc Function") + Text(0.5, 1.0, 'Sinc Function') + >>> plt.ylabel("Amplitude") + Text(0, 0.5, 'Amplitude') + >>> plt.xlabel("X") + Text(0.5, 0, 'X') + >>> plt.show() + + """ + x = np.asanyarray(x) + y = pi * where(x == 0, 1.0e-20, x) + return sin(y)/y + + +def _msort_dispatcher(a): + return (a,) + + +@array_function_dispatch(_msort_dispatcher) +def msort(a): + """ + Return a copy of an array sorted along the first axis. + + .. deprecated:: 1.24 + + msort is deprecated, use ``np.sort(a, axis=0)`` instead. + + Parameters + ---------- + a : array_like + Array to be sorted. + + Returns + ------- + sorted_array : ndarray + Array of the same type and shape as `a`. + + See Also + -------- + sort + + Notes + ----- + ``np.msort(a)`` is equivalent to ``np.sort(a, axis=0)``. + + Examples + -------- + >>> a = np.array([[1, 4], [3, 1]]) + >>> np.msort(a) # sort along the first axis + array([[1, 1], + [3, 4]]) + + """ + # 2022-10-20 1.24 + warnings.warn( + "msort is deprecated, use np.sort(a, axis=0) instead", + DeprecationWarning, + stacklevel=2, + ) + b = array(a, subok=True, copy=True) + b.sort(0) + return b + + +def _ureduce(a, func, keepdims=False, **kwargs): + """ + Internal Function. + Call `func` with `a` as first argument swapping the axes to use extended + axis on functions that don't support it natively. + + Returns result and a.shape with axis dims set to 1. + + Parameters + ---------- + a : array_like + Input array or object that can be converted to an array. + func : callable + Reduction function capable of receiving a single axis argument. + It is called with `a` as first argument followed by `kwargs`. + kwargs : keyword arguments + additional keyword arguments to pass to `func`. + + Returns + ------- + result : tuple + Result of func(a, **kwargs) and a.shape with axis dims set to 1 + which can be used to reshape the result to the same shape a ufunc with + keepdims=True would produce. + + """ + a = np.asanyarray(a) + axis = kwargs.get('axis', None) + out = kwargs.get('out', None) + + if keepdims is np._NoValue: + keepdims = False + + nd = a.ndim + if axis is not None: + axis = _nx.normalize_axis_tuple(axis, nd) + + if keepdims: + if out is not None: + index_out = tuple( + 0 if i in axis else slice(None) for i in range(nd)) + kwargs['out'] = out[(Ellipsis, ) + index_out] + + if len(axis) == 1: + kwargs['axis'] = axis[0] + else: + keep = set(range(nd)) - set(axis) + nkeep = len(keep) + # swap axis that should not be reduced to front + for i, s in enumerate(sorted(keep)): + a = a.swapaxes(i, s) + # merge reduced axis + a = a.reshape(a.shape[:nkeep] + (-1,)) + kwargs['axis'] = -1 + else: + if keepdims: + if out is not None: + index_out = (0, ) * nd + kwargs['out'] = out[(Ellipsis, ) + index_out] + + r = func(a, **kwargs) + + if out is not None: + return out + + if keepdims: + if axis is None: + index_r = (np.newaxis, ) * nd + else: + index_r = tuple( + np.newaxis if i in axis else slice(None) + for i in range(nd)) + r = r[(Ellipsis, ) + index_r] + + return r + + +def _median_dispatcher( + a, axis=None, out=None, overwrite_input=None, keepdims=None): + return (a, out) + + +@array_function_dispatch(_median_dispatcher) +def median(a, axis=None, out=None, overwrite_input=False, keepdims=False): + """ + Compute the median along the specified axis. + + Returns the median of the array elements. + + Parameters + ---------- + a : array_like + Input array or object that can be converted to an array. + axis : {int, sequence of int, None}, optional + Axis or axes along which the medians are computed. The default + is to compute the median along a flattened version of the array. + A sequence of axes is supported since version 1.9.0. + out : ndarray, optional + Alternative output array in which to place the result. It must + have the same shape and buffer length as the expected output, + but the type (of the output) will be cast if necessary. + overwrite_input : bool, optional + If True, then allow use of memory of input array `a` for + calculations. The input array will be modified by the call to + `median`. This will save memory when you do not need to preserve + the contents of the input array. Treat the input as undefined, + but it will probably be fully or partially sorted. Default is + False. If `overwrite_input` is ``True`` and `a` is not already an + `ndarray`, an error will be raised. + keepdims : bool, optional + If this is set to True, the axes which are reduced are left + in the result as dimensions with size one. With this option, + the result will broadcast correctly against the original `arr`. + + .. versionadded:: 1.9.0 + + Returns + ------- + median : ndarray + A new array holding the result. If the input contains integers + or floats smaller than ``float64``, then the output data-type is + ``np.float64``. Otherwise, the data-type of the output is the + same as that of the input. If `out` is specified, that array is + returned instead. + + See Also + -------- + mean, percentile + + Notes + ----- + Given a vector ``V`` of length ``N``, the median of ``V`` is the + middle value of a sorted copy of ``V``, ``V_sorted`` - i + e., ``V_sorted[(N-1)/2]``, when ``N`` is odd, and the average of the + two middle values of ``V_sorted`` when ``N`` is even. + + Examples + -------- + >>> a = np.array([[10, 7, 4], [3, 2, 1]]) + >>> a + array([[10, 7, 4], + [ 3, 2, 1]]) + >>> np.median(a) + 3.5 + >>> np.median(a, axis=0) + array([6.5, 4.5, 2.5]) + >>> np.median(a, axis=1) + array([7., 2.]) + >>> m = np.median(a, axis=0) + >>> out = np.zeros_like(m) + >>> np.median(a, axis=0, out=m) + array([6.5, 4.5, 2.5]) + >>> m + array([6.5, 4.5, 2.5]) + >>> b = a.copy() + >>> np.median(b, axis=1, overwrite_input=True) + array([7., 2.]) + >>> assert not np.all(a==b) + >>> b = a.copy() + >>> np.median(b, axis=None, overwrite_input=True) + 3.5 + >>> assert not np.all(a==b) + + """ + return _ureduce(a, func=_median, keepdims=keepdims, axis=axis, out=out, + overwrite_input=overwrite_input) + + +def _median(a, axis=None, out=None, overwrite_input=False): + # can't be reasonably be implemented in terms of percentile as we have to + # call mean to not break astropy + a = np.asanyarray(a) + + # Set the partition indexes + if axis is None: + sz = a.size + else: + sz = a.shape[axis] + if sz % 2 == 0: + szh = sz // 2 + kth = [szh - 1, szh] + else: + kth = [(sz - 1) // 2] + + # We have to check for NaNs (as of writing 'M' doesn't actually work). + supports_nans = np.issubdtype(a.dtype, np.inexact) or a.dtype.kind in 'Mm' + if supports_nans: + kth.append(-1) + + if overwrite_input: + if axis is None: + part = a.ravel() + part.partition(kth) + else: + a.partition(kth, axis=axis) + part = a + else: + part = partition(a, kth, axis=axis) + + if part.shape == (): + # make 0-D arrays work + return part.item() + if axis is None: + axis = 0 + + indexer = [slice(None)] * part.ndim + index = part.shape[axis] // 2 + if part.shape[axis] % 2 == 1: + # index with slice to allow mean (below) to work + indexer[axis] = slice(index, index+1) + else: + indexer[axis] = slice(index-1, index+1) + indexer = tuple(indexer) + + # Use mean in both odd and even case to coerce data type, + # using out array if needed. + rout = mean(part[indexer], axis=axis, out=out) + if supports_nans and sz > 0: + # If nans are possible, warn and replace by nans like mean would. + rout = np.lib.utils._median_nancheck(part, rout, axis) + + return rout + + +def _percentile_dispatcher(a, q, axis=None, out=None, overwrite_input=None, + method=None, keepdims=None, *, interpolation=None): + return (a, q, out) + + +@array_function_dispatch(_percentile_dispatcher) +def percentile(a, + q, + axis=None, + out=None, + overwrite_input=False, + method="linear", + keepdims=False, + *, + interpolation=None): + """ + Compute the q-th percentile of the data along the specified axis. + + Returns the q-th percentile(s) of the array elements. + + Parameters + ---------- + a : array_like of real numbers + Input array or object that can be converted to an array. + q : array_like of float + Percentage or sequence of percentages for the percentiles to compute. + Values must be between 0 and 100 inclusive. + axis : {int, tuple of int, None}, optional + Axis or axes along which the percentiles are computed. The + default is to compute the percentile(s) along a flattened + version of the array. + + .. versionchanged:: 1.9.0 + A tuple of axes is supported + out : ndarray, optional + Alternative output array in which to place the result. It must + have the same shape and buffer length as the expected output, + but the type (of the output) will be cast if necessary. + overwrite_input : bool, optional + If True, then allow the input array `a` to be modified by intermediate + calculations, to save memory. In this case, the contents of the input + `a` after this function completes is undefined. + method : str, optional + This parameter specifies the method to use for estimating the + percentile. There are many different methods, some unique to NumPy. + See the notes for explanation. The options sorted by their R type + as summarized in the H&F paper [1]_ are: + + 1. 'inverted_cdf' + 2. 'averaged_inverted_cdf' + 3. 'closest_observation' + 4. 'interpolated_inverted_cdf' + 5. 'hazen' + 6. 'weibull' + 7. 'linear' (default) + 8. 'median_unbiased' + 9. 'normal_unbiased' + + The first three methods are discontinuous. NumPy further defines the + following discontinuous variations of the default 'linear' (7.) option: + + * 'lower' + * 'higher', + * 'midpoint' + * 'nearest' + + .. versionchanged:: 1.22.0 + This argument was previously called "interpolation" and only + offered the "linear" default and last four options. + + keepdims : bool, optional + If this is set to True, the axes which are reduced are left in + the result as dimensions with size one. With this option, the + result will broadcast correctly against the original array `a`. + + .. versionadded:: 1.9.0 + + interpolation : str, optional + Deprecated name for the method keyword argument. + + .. deprecated:: 1.22.0 + + Returns + ------- + percentile : scalar or ndarray + If `q` is a single percentile and `axis=None`, then the result + is a scalar. If multiple percentiles are given, first axis of + the result corresponds to the percentiles. The other axes are + the axes that remain after the reduction of `a`. If the input + contains integers or floats smaller than ``float64``, the output + data-type is ``float64``. Otherwise, the output data-type is the + same as that of the input. If `out` is specified, that array is + returned instead. + + See Also + -------- + mean + median : equivalent to ``percentile(..., 50)`` + nanpercentile + quantile : equivalent to percentile, except q in the range [0, 1]. + + Notes + ----- + Given a vector ``V`` of length ``n``, the q-th percentile of ``V`` is + the value ``q/100`` of the way from the minimum to the maximum in a + sorted copy of ``V``. The values and distances of the two nearest + neighbors as well as the `method` parameter will determine the + percentile if the normalized ranking does not match the location of + ``q`` exactly. This function is the same as the median if ``q=50``, the + same as the minimum if ``q=0`` and the same as the maximum if + ``q=100``. + + The optional `method` parameter specifies the method to use when the + desired percentile lies between two indexes ``i`` and ``j = i + 1``. + In that case, we first determine ``i + g``, a virtual index that lies + between ``i`` and ``j``, where ``i`` is the floor and ``g`` is the + fractional part of the index. The final result is, then, an interpolation + of ``a[i]`` and ``a[j]`` based on ``g``. During the computation of ``g``, + ``i`` and ``j`` are modified using correction constants ``alpha`` and + ``beta`` whose choices depend on the ``method`` used. Finally, note that + since Python uses 0-based indexing, the code subtracts another 1 from the + index internally. + + The following formula determines the virtual index ``i + g``, the location + of the percentile in the sorted sample: + + .. math:: + i + g = (q / 100) * ( n - alpha - beta + 1 ) + alpha + + The different methods then work as follows + + inverted_cdf: + method 1 of H&F [1]_. + This method gives discontinuous results: + + * if g > 0 ; then take j + * if g = 0 ; then take i + + averaged_inverted_cdf: + method 2 of H&F [1]_. + This method give discontinuous results: + + * if g > 0 ; then take j + * if g = 0 ; then average between bounds + + closest_observation: + method 3 of H&F [1]_. + This method give discontinuous results: + + * if g > 0 ; then take j + * if g = 0 and index is odd ; then take j + * if g = 0 and index is even ; then take i + + interpolated_inverted_cdf: + method 4 of H&F [1]_. + This method give continuous results using: + + * alpha = 0 + * beta = 1 + + hazen: + method 5 of H&F [1]_. + This method give continuous results using: + + * alpha = 1/2 + * beta = 1/2 + + weibull: + method 6 of H&F [1]_. + This method give continuous results using: + + * alpha = 0 + * beta = 0 + + linear: + method 7 of H&F [1]_. + This method give continuous results using: + + * alpha = 1 + * beta = 1 + + median_unbiased: + method 8 of H&F [1]_. + This method is probably the best method if the sample + distribution function is unknown (see reference). + This method give continuous results using: + + * alpha = 1/3 + * beta = 1/3 + + normal_unbiased: + method 9 of H&F [1]_. + This method is probably the best method if the sample + distribution function is known to be normal. + This method give continuous results using: + + * alpha = 3/8 + * beta = 3/8 + + lower: + NumPy method kept for backwards compatibility. + Takes ``i`` as the interpolation point. + + higher: + NumPy method kept for backwards compatibility. + Takes ``j`` as the interpolation point. + + nearest: + NumPy method kept for backwards compatibility. + Takes ``i`` or ``j``, whichever is nearest. + + midpoint: + NumPy method kept for backwards compatibility. + Uses ``(i + j) / 2``. + + Examples + -------- + >>> a = np.array([[10, 7, 4], [3, 2, 1]]) + >>> a + array([[10, 7, 4], + [ 3, 2, 1]]) + >>> np.percentile(a, 50) + 3.5 + >>> np.percentile(a, 50, axis=0) + array([6.5, 4.5, 2.5]) + >>> np.percentile(a, 50, axis=1) + array([7., 2.]) + >>> np.percentile(a, 50, axis=1, keepdims=True) + array([[7.], + [2.]]) + + >>> m = np.percentile(a, 50, axis=0) + >>> out = np.zeros_like(m) + >>> np.percentile(a, 50, axis=0, out=out) + array([6.5, 4.5, 2.5]) + >>> m + array([6.5, 4.5, 2.5]) + + >>> b = a.copy() + >>> np.percentile(b, 50, axis=1, overwrite_input=True) + array([7., 2.]) + >>> assert not np.all(a == b) + + The different methods can be visualized graphically: + + .. plot:: + + import matplotlib.pyplot as plt + + a = np.arange(4) + p = np.linspace(0, 100, 6001) + ax = plt.gca() + lines = [ + ('linear', '-', 'C0'), + ('inverted_cdf', ':', 'C1'), + # Almost the same as `inverted_cdf`: + ('averaged_inverted_cdf', '-.', 'C1'), + ('closest_observation', ':', 'C2'), + ('interpolated_inverted_cdf', '--', 'C1'), + ('hazen', '--', 'C3'), + ('weibull', '-.', 'C4'), + ('median_unbiased', '--', 'C5'), + ('normal_unbiased', '-.', 'C6'), + ] + for method, style, color in lines: + ax.plot( + p, np.percentile(a, p, method=method), + label=method, linestyle=style, color=color) + ax.set( + title='Percentiles for different methods and data: ' + str(a), + xlabel='Percentile', + ylabel='Estimated percentile value', + yticks=a) + ax.legend(bbox_to_anchor=(1.03, 1)) + plt.tight_layout() + plt.show() + + References + ---------- + .. [1] R. J. Hyndman and Y. Fan, + "Sample quantiles in statistical packages," + The American Statistician, 50(4), pp. 361-365, 1996 + + """ + if interpolation is not None: + method = _check_interpolation_as_method( + method, interpolation, "percentile") + + a = np.asanyarray(a) + if a.dtype.kind == "c": + raise TypeError("a must be an array of real numbers") + + q = np.true_divide(q, 100) + q = asanyarray(q) # undo any decay that the ufunc performed (see gh-13105) + if not _quantile_is_valid(q): + raise ValueError("Percentiles must be in the range [0, 100]") + return _quantile_unchecked( + a, q, axis, out, overwrite_input, method, keepdims) + + +def _quantile_dispatcher(a, q, axis=None, out=None, overwrite_input=None, + method=None, keepdims=None, *, interpolation=None): + return (a, q, out) + + +@array_function_dispatch(_quantile_dispatcher) +def quantile(a, + q, + axis=None, + out=None, + overwrite_input=False, + method="linear", + keepdims=False, + *, + interpolation=None): + """ + Compute the q-th quantile of the data along the specified axis. + + .. versionadded:: 1.15.0 + + Parameters + ---------- + a : array_like of real numbers + Input array or object that can be converted to an array. + q : array_like of float + Probability or sequence of probabilities for the quantiles to compute. + Values must be between 0 and 1 inclusive. + axis : {int, tuple of int, None}, optional + Axis or axes along which the quantiles are computed. The default is + to compute the quantile(s) along a flattened version of the array. + out : ndarray, optional + Alternative output array in which to place the result. It must have + the same shape and buffer length as the expected output, but the + type (of the output) will be cast if necessary. + overwrite_input : bool, optional + If True, then allow the input array `a` to be modified by + intermediate calculations, to save memory. In this case, the + contents of the input `a` after this function completes is + undefined. + method : str, optional + This parameter specifies the method to use for estimating the + quantile. There are many different methods, some unique to NumPy. + See the notes for explanation. The options sorted by their R type + as summarized in the H&F paper [1]_ are: + + 1. 'inverted_cdf' + 2. 'averaged_inverted_cdf' + 3. 'closest_observation' + 4. 'interpolated_inverted_cdf' + 5. 'hazen' + 6. 'weibull' + 7. 'linear' (default) + 8. 'median_unbiased' + 9. 'normal_unbiased' + + The first three methods are discontinuous. NumPy further defines the + following discontinuous variations of the default 'linear' (7.) option: + + * 'lower' + * 'higher', + * 'midpoint' + * 'nearest' + + .. versionchanged:: 1.22.0 + This argument was previously called "interpolation" and only + offered the "linear" default and last four options. + + keepdims : bool, optional + If this is set to True, the axes which are reduced are left in + the result as dimensions with size one. With this option, the + result will broadcast correctly against the original array `a`. + + interpolation : str, optional + Deprecated name for the method keyword argument. + + .. deprecated:: 1.22.0 + + Returns + ------- + quantile : scalar or ndarray + If `q` is a single probability and `axis=None`, then the result + is a scalar. If multiple probabilies levels are given, first axis of + the result corresponds to the quantiles. The other axes are + the axes that remain after the reduction of `a`. If the input + contains integers or floats smaller than ``float64``, the output + data-type is ``float64``. Otherwise, the output data-type is the + same as that of the input. If `out` is specified, that array is + returned instead. + + See Also + -------- + mean + percentile : equivalent to quantile, but with q in the range [0, 100]. + median : equivalent to ``quantile(..., 0.5)`` + nanquantile + + Notes + ----- + Given a vector ``V`` of length ``n``, the q-th quantile of ``V`` is + the value ``q`` of the way from the minimum to the maximum in a + sorted copy of ``V``. The values and distances of the two nearest + neighbors as well as the `method` parameter will determine the + quantile if the normalized ranking does not match the location of + ``q`` exactly. This function is the same as the median if ``q=0.5``, the + same as the minimum if ``q=0.0`` and the same as the maximum if + ``q=1.0``. + + The optional `method` parameter specifies the method to use when the + desired quantile lies between two indexes ``i`` and ``j = i + 1``. + In that case, we first determine ``i + g``, a virtual index that lies + between ``i`` and ``j``, where ``i`` is the floor and ``g`` is the + fractional part of the index. The final result is, then, an interpolation + of ``a[i]`` and ``a[j]`` based on ``g``. During the computation of ``g``, + ``i`` and ``j`` are modified using correction constants ``alpha`` and + ``beta`` whose choices depend on the ``method`` used. Finally, note that + since Python uses 0-based indexing, the code subtracts another 1 from the + index internally. + + The following formula determines the virtual index ``i + g``, the location + of the quantile in the sorted sample: + + .. math:: + i + g = q * ( n - alpha - beta + 1 ) + alpha + + The different methods then work as follows + + inverted_cdf: + method 1 of H&F [1]_. + This method gives discontinuous results: + + * if g > 0 ; then take j + * if g = 0 ; then take i + + averaged_inverted_cdf: + method 2 of H&F [1]_. + This method gives discontinuous results: + + * if g > 0 ; then take j + * if g = 0 ; then average between bounds + + closest_observation: + method 3 of H&F [1]_. + This method gives discontinuous results: + + * if g > 0 ; then take j + * if g = 0 and index is odd ; then take j + * if g = 0 and index is even ; then take i + + interpolated_inverted_cdf: + method 4 of H&F [1]_. + This method gives continuous results using: + + * alpha = 0 + * beta = 1 + + hazen: + method 5 of H&F [1]_. + This method gives continuous results using: + + * alpha = 1/2 + * beta = 1/2 + + weibull: + method 6 of H&F [1]_. + This method gives continuous results using: + + * alpha = 0 + * beta = 0 + + linear: + method 7 of H&F [1]_. + This method gives continuous results using: + + * alpha = 1 + * beta = 1 + + median_unbiased: + method 8 of H&F [1]_. + This method is probably the best method if the sample + distribution function is unknown (see reference). + This method gives continuous results using: + + * alpha = 1/3 + * beta = 1/3 + + normal_unbiased: + method 9 of H&F [1]_. + This method is probably the best method if the sample + distribution function is known to be normal. + This method gives continuous results using: + + * alpha = 3/8 + * beta = 3/8 + + lower: + NumPy method kept for backwards compatibility. + Takes ``i`` as the interpolation point. + + higher: + NumPy method kept for backwards compatibility. + Takes ``j`` as the interpolation point. + + nearest: + NumPy method kept for backwards compatibility. + Takes ``i`` or ``j``, whichever is nearest. + + midpoint: + NumPy method kept for backwards compatibility. + Uses ``(i + j) / 2``. + + Examples + -------- + >>> a = np.array([[10, 7, 4], [3, 2, 1]]) + >>> a + array([[10, 7, 4], + [ 3, 2, 1]]) + >>> np.quantile(a, 0.5) + 3.5 + >>> np.quantile(a, 0.5, axis=0) + array([6.5, 4.5, 2.5]) + >>> np.quantile(a, 0.5, axis=1) + array([7., 2.]) + >>> np.quantile(a, 0.5, axis=1, keepdims=True) + array([[7.], + [2.]]) + >>> m = np.quantile(a, 0.5, axis=0) + >>> out = np.zeros_like(m) + >>> np.quantile(a, 0.5, axis=0, out=out) + array([6.5, 4.5, 2.5]) + >>> m + array([6.5, 4.5, 2.5]) + >>> b = a.copy() + >>> np.quantile(b, 0.5, axis=1, overwrite_input=True) + array([7., 2.]) + >>> assert not np.all(a == b) + + See also `numpy.percentile` for a visualization of most methods. + + References + ---------- + .. [1] R. J. Hyndman and Y. Fan, + "Sample quantiles in statistical packages," + The American Statistician, 50(4), pp. 361-365, 1996 + + """ + if interpolation is not None: + method = _check_interpolation_as_method( + method, interpolation, "quantile") + + a = np.asanyarray(a) + if a.dtype.kind == "c": + raise TypeError("a must be an array of real numbers") + + q = np.asanyarray(q) + if not _quantile_is_valid(q): + raise ValueError("Quantiles must be in the range [0, 1]") + return _quantile_unchecked( + a, q, axis, out, overwrite_input, method, keepdims) + + +def _quantile_unchecked(a, + q, + axis=None, + out=None, + overwrite_input=False, + method="linear", + keepdims=False): + """Assumes that q is in [0, 1], and is an ndarray""" + return _ureduce(a, + func=_quantile_ureduce_func, + q=q, + keepdims=keepdims, + axis=axis, + out=out, + overwrite_input=overwrite_input, + method=method) + + +def _quantile_is_valid(q): + # avoid expensive reductions, relevant for arrays with < O(1000) elements + if q.ndim == 1 and q.size < 10: + for i in range(q.size): + if not (0.0 <= q[i] <= 1.0): + return False + else: + if not (np.all(0 <= q) and np.all(q <= 1)): + return False + return True + + +def _check_interpolation_as_method(method, interpolation, fname): + # Deprecated NumPy 1.22, 2021-11-08 + warnings.warn( + f"the `interpolation=` argument to {fname} was renamed to " + "`method=`, which has additional options.\n" + "Users of the modes 'nearest', 'lower', 'higher', or " + "'midpoint' are encouraged to review the method they used. " + "(Deprecated NumPy 1.22)", + DeprecationWarning, stacklevel=4) + if method != "linear": + # sanity check, we assume this basically never happens + raise TypeError( + "You shall not pass both `method` and `interpolation`!\n" + "(`interpolation` is Deprecated in favor of `method`)") + return interpolation + + +def _compute_virtual_index(n, quantiles, alpha: float, beta: float): + """ + Compute the floating point indexes of an array for the linear + interpolation of quantiles. + n : array_like + The sample sizes. + quantiles : array_like + The quantiles values. + alpha : float + A constant used to correct the index computed. + beta : float + A constant used to correct the index computed. + + alpha and beta values depend on the chosen method + (see quantile documentation) + + Reference: + Hyndman&Fan paper "Sample Quantiles in Statistical Packages", + DOI: 10.1080/00031305.1996.10473566 + """ + return n * quantiles + ( + alpha + quantiles * (1 - alpha - beta) + ) - 1 + + +def _get_gamma(virtual_indexes, previous_indexes, method): + """ + Compute gamma (a.k.a 'm' or 'weight') for the linear interpolation + of quantiles. + + virtual_indexes : array_like + The indexes where the percentile is supposed to be found in the sorted + sample. + previous_indexes : array_like + The floor values of virtual_indexes. + interpolation : dict + The interpolation method chosen, which may have a specific rule + modifying gamma. + + gamma is usually the fractional part of virtual_indexes but can be modified + by the interpolation method. + """ + gamma = np.asanyarray(virtual_indexes - previous_indexes) + gamma = method["fix_gamma"](gamma, virtual_indexes) + return np.asanyarray(gamma) + + +def _lerp(a, b, t, out=None): + """ + Compute the linear interpolation weighted by gamma on each point of + two same shape array. + + a : array_like + Left bound. + b : array_like + Right bound. + t : array_like + The interpolation weight. + out : array_like + Output array. + """ + diff_b_a = subtract(b, a) + # asanyarray is a stop-gap until gh-13105 + lerp_interpolation = asanyarray(add(a, diff_b_a * t, out=out)) + subtract(b, diff_b_a * (1 - t), out=lerp_interpolation, where=t >= 0.5, + casting='unsafe', dtype=type(lerp_interpolation.dtype)) + if lerp_interpolation.ndim == 0 and out is None: + lerp_interpolation = lerp_interpolation[()] # unpack 0d arrays + return lerp_interpolation + + +def _get_gamma_mask(shape, default_value, conditioned_value, where): + out = np.full(shape, default_value) + np.copyto(out, conditioned_value, where=where, casting="unsafe") + return out + + +def _discret_interpolation_to_boundaries(index, gamma_condition_fun): + previous = np.floor(index) + next = previous + 1 + gamma = index - previous + res = _get_gamma_mask(shape=index.shape, + default_value=next, + conditioned_value=previous, + where=gamma_condition_fun(gamma, index) + ).astype(np.intp) + # Some methods can lead to out-of-bound integers, clip them: + res[res < 0] = 0 + return res + + +def _closest_observation(n, quantiles): + gamma_fun = lambda gamma, index: (gamma == 0) & (np.floor(index) % 2 == 0) + return _discret_interpolation_to_boundaries((n * quantiles) - 1 - 0.5, + gamma_fun) + + +def _inverted_cdf(n, quantiles): + gamma_fun = lambda gamma, _: (gamma == 0) + return _discret_interpolation_to_boundaries((n * quantiles) - 1, + gamma_fun) + + +def _quantile_ureduce_func( + a: np.array, + q: np.array, + axis: int = None, + out=None, + overwrite_input: bool = False, + method="linear", +) -> np.array: + if q.ndim > 2: + # The code below works fine for nd, but it might not have useful + # semantics. For now, keep the supported dimensions the same as it was + # before. + raise ValueError("q must be a scalar or 1d") + if overwrite_input: + if axis is None: + axis = 0 + arr = a.ravel() + else: + arr = a + else: + if axis is None: + axis = 0 + arr = a.flatten() + else: + arr = a.copy() + result = _quantile(arr, + quantiles=q, + axis=axis, + method=method, + out=out) + return result + + +def _get_indexes(arr, virtual_indexes, valid_values_count): + """ + Get the valid indexes of arr neighbouring virtual_indexes. + Note + This is a companion function to linear interpolation of + Quantiles + + Returns + ------- + (previous_indexes, next_indexes): Tuple + A Tuple of virtual_indexes neighbouring indexes + """ + previous_indexes = np.asanyarray(np.floor(virtual_indexes)) + next_indexes = np.asanyarray(previous_indexes + 1) + indexes_above_bounds = virtual_indexes >= valid_values_count - 1 + # When indexes is above max index, take the max value of the array + if indexes_above_bounds.any(): + previous_indexes[indexes_above_bounds] = -1 + next_indexes[indexes_above_bounds] = -1 + # When indexes is below min index, take the min value of the array + indexes_below_bounds = virtual_indexes < 0 + if indexes_below_bounds.any(): + previous_indexes[indexes_below_bounds] = 0 + next_indexes[indexes_below_bounds] = 0 + if np.issubdtype(arr.dtype, np.inexact): + # After the sort, slices having NaNs will have for last element a NaN + virtual_indexes_nans = np.isnan(virtual_indexes) + if virtual_indexes_nans.any(): + previous_indexes[virtual_indexes_nans] = -1 + next_indexes[virtual_indexes_nans] = -1 + previous_indexes = previous_indexes.astype(np.intp) + next_indexes = next_indexes.astype(np.intp) + return previous_indexes, next_indexes + + +def _quantile( + arr: np.array, + quantiles: np.array, + axis: int = -1, + method="linear", + out=None, +): + """ + Private function that doesn't support extended axis or keepdims. + These methods are extended to this function using _ureduce + See nanpercentile for parameter usage + It computes the quantiles of the array for the given axis. + A linear interpolation is performed based on the `interpolation`. + + By default, the method is "linear" where alpha == beta == 1 which + performs the 7th method of Hyndman&Fan. + With "median_unbiased" we get alpha == beta == 1/3 + thus the 8th method of Hyndman&Fan. + """ + # --- Setup + arr = np.asanyarray(arr) + values_count = arr.shape[axis] + # The dimensions of `q` are prepended to the output shape, so we need the + # axis being sampled from `arr` to be last. + + if axis != 0: # But moveaxis is slow, so only call it if necessary. + arr = np.moveaxis(arr, axis, destination=0) + # --- Computation of indexes + # Index where to find the value in the sorted array. + # Virtual because it is a floating point value, not an valid index. + # The nearest neighbours are used for interpolation + try: + method = _QuantileMethods[method] + except KeyError: + raise ValueError( + f"{method!r} is not a valid method. Use one of: " + f"{_QuantileMethods.keys()}") from None + virtual_indexes = method["get_virtual_index"](values_count, quantiles) + virtual_indexes = np.asanyarray(virtual_indexes) + + supports_nans = ( + np.issubdtype(arr.dtype, np.inexact) or arr.dtype.kind in 'Mm') + + if np.issubdtype(virtual_indexes.dtype, np.integer): + # No interpolation needed, take the points along axis + if supports_nans: + # may contain nan, which would sort to the end + arr.partition(concatenate((virtual_indexes.ravel(), [-1])), axis=0) + slices_having_nans = np.isnan(arr[-1, ...]) + else: + # cannot contain nan + arr.partition(virtual_indexes.ravel(), axis=0) + slices_having_nans = np.array(False, dtype=bool) + result = take(arr, virtual_indexes, axis=0, out=out) + else: + previous_indexes, next_indexes = _get_indexes(arr, + virtual_indexes, + values_count) + # --- Sorting + arr.partition( + np.unique(np.concatenate(([0, -1], + previous_indexes.ravel(), + next_indexes.ravel(), + ))), + axis=0) + if supports_nans: + slices_having_nans = np.isnan(arr[-1, ...]) + else: + slices_having_nans = None + # --- Get values from indexes + previous = arr[previous_indexes] + next = arr[next_indexes] + # --- Linear interpolation + gamma = _get_gamma(virtual_indexes, previous_indexes, method) + result_shape = virtual_indexes.shape + (1,) * (arr.ndim - 1) + gamma = gamma.reshape(result_shape) + result = _lerp(previous, + next, + gamma, + out=out) + if np.any(slices_having_nans): + if result.ndim == 0 and out is None: + # can't write to a scalar, but indexing will be correct + result = arr[-1] + else: + np.copyto(result, arr[-1, ...], where=slices_having_nans) + return result + + +def _trapz_dispatcher(y, x=None, dx=None, axis=None): + return (y, x) + + +@array_function_dispatch(_trapz_dispatcher) +def trapz(y, x=None, dx=1.0, axis=-1): + r""" + Integrate along the given axis using the composite trapezoidal rule. + + If `x` is provided, the integration happens in sequence along its + elements - they are not sorted. + + Integrate `y` (`x`) along each 1d slice on the given axis, compute + :math:`\int y(x) dx`. + When `x` is specified, this integrates along the parametric curve, + computing :math:`\int_t y(t) dt = + \int_t y(t) \left.\frac{dx}{dt}\right|_{x=x(t)} dt`. + + Parameters + ---------- + y : array_like + Input array to integrate. + x : array_like, optional + The sample points corresponding to the `y` values. If `x` is None, + the sample points are assumed to be evenly spaced `dx` apart. The + default is None. + dx : scalar, optional + The spacing between sample points when `x` is None. The default is 1. + axis : int, optional + The axis along which to integrate. + + Returns + ------- + trapz : float or ndarray + Definite integral of `y` = n-dimensional array as approximated along + a single axis by the trapezoidal rule. If `y` is a 1-dimensional array, + then the result is a float. If `n` is greater than 1, then the result + is an `n`-1 dimensional array. + + See Also + -------- + sum, cumsum + + Notes + ----- + Image [2]_ illustrates trapezoidal rule -- y-axis locations of points + will be taken from `y` array, by default x-axis distances between + points will be 1.0, alternatively they can be provided with `x` array + or with `dx` scalar. Return value will be equal to combined area under + the red lines. + + + References + ---------- + .. [1] Wikipedia page: https://en.wikipedia.org/wiki/Trapezoidal_rule + + .. [2] Illustration image: + https://en.wikipedia.org/wiki/File:Composite_trapezoidal_rule_illustration.png + + Examples + -------- + Use the trapezoidal rule on evenly spaced points: + + >>> np.trapz([1, 2, 3]) + 4.0 + + The spacing between sample points can be selected by either the + ``x`` or ``dx`` arguments: + + >>> np.trapz([1, 2, 3], x=[4, 6, 8]) + 8.0 + >>> np.trapz([1, 2, 3], dx=2) + 8.0 + + Using a decreasing ``x`` corresponds to integrating in reverse: + + >>> np.trapz([1, 2, 3], x=[8, 6, 4]) + -8.0 + + More generally ``x`` is used to integrate along a parametric curve. We can + estimate the integral :math:`\int_0^1 x^2 = 1/3` using: + + >>> x = np.linspace(0, 1, num=50) + >>> y = x**2 + >>> np.trapz(y, x) + 0.33340274885464394 + + Or estimate the area of a circle, noting we repeat the sample which closes + the curve: + + >>> theta = np.linspace(0, 2 * np.pi, num=1000, endpoint=True) + >>> np.trapz(np.cos(theta), x=np.sin(theta)) + 3.141571941375841 + + ``np.trapz`` can be applied along a specified axis to do multiple + computations in one call: + + >>> a = np.arange(6).reshape(2, 3) + >>> a + array([[0, 1, 2], + [3, 4, 5]]) + >>> np.trapz(a, axis=0) + array([1.5, 2.5, 3.5]) + >>> np.trapz(a, axis=1) + array([2., 8.]) + """ + y = asanyarray(y) + if x is None: + d = dx + else: + x = asanyarray(x) + if x.ndim == 1: + d = diff(x) + # reshape to correct shape + shape = [1]*y.ndim + shape[axis] = d.shape[0] + d = d.reshape(shape) + else: + d = diff(x, axis=axis) + nd = y.ndim + slice1 = [slice(None)]*nd + slice2 = [slice(None)]*nd + slice1[axis] = slice(1, None) + slice2[axis] = slice(None, -1) + try: + ret = (d * (y[tuple(slice1)] + y[tuple(slice2)]) / 2.0).sum(axis) + except ValueError: + # Operations didn't work, cast to ndarray + d = np.asarray(d) + y = np.asarray(y) + ret = add.reduce(d * (y[tuple(slice1)]+y[tuple(slice2)])/2.0, axis) + return ret + + +# __array_function__ has no __code__ or other attributes normal Python funcs we +# wrap everything into a C callable. SciPy however, tries to "clone" `trapz` +# into a new Python function which requires `__code__` and a few other +# attributes. So we create a dummy clone and copy over its attributes allowing +# SciPy <= 1.10 to work: https://github.com/scipy/scipy/issues/17811 +assert not hasattr(trapz, "__code__") + +def _fake_trapz(y, x=None, dx=1.0, axis=-1): + return trapz(y, x=x, dx=dx, axis=axis) + + +trapz.__code__ = _fake_trapz.__code__ +trapz.__globals__ = _fake_trapz.__globals__ +trapz.__defaults__ = _fake_trapz.__defaults__ +trapz.__closure__ = _fake_trapz.__closure__ +trapz.__kwdefaults__ = _fake_trapz.__kwdefaults__ + + +def _meshgrid_dispatcher(*xi, copy=None, sparse=None, indexing=None): + return xi + + +# Based on scitools meshgrid +@array_function_dispatch(_meshgrid_dispatcher) +def meshgrid(*xi, copy=True, sparse=False, indexing='xy'): + """ + Return a list of coordinate matrices from coordinate vectors. + + Make N-D coordinate arrays for vectorized evaluations of + N-D scalar/vector fields over N-D grids, given + one-dimensional coordinate arrays x1, x2,..., xn. + + .. versionchanged:: 1.9 + 1-D and 0-D cases are allowed. + + Parameters + ---------- + x1, x2,..., xn : array_like + 1-D arrays representing the coordinates of a grid. + indexing : {'xy', 'ij'}, optional + Cartesian ('xy', default) or matrix ('ij') indexing of output. + See Notes for more details. + + .. versionadded:: 1.7.0 + sparse : bool, optional + If True the shape of the returned coordinate array for dimension *i* + is reduced from ``(N1, ..., Ni, ... Nn)`` to + ``(1, ..., 1, Ni, 1, ..., 1)``. These sparse coordinate grids are + intended to be use with :ref:`basics.broadcasting`. When all + coordinates are used in an expression, broadcasting still leads to a + fully-dimensonal result array. + + Default is False. + + .. versionadded:: 1.7.0 + copy : bool, optional + If False, a view into the original arrays are returned in order to + conserve memory. Default is True. Please note that + ``sparse=False, copy=False`` will likely return non-contiguous + arrays. Furthermore, more than one element of a broadcast array + may refer to a single memory location. If you need to write to the + arrays, make copies first. + + .. versionadded:: 1.7.0 + + Returns + ------- + X1, X2,..., XN : list of ndarrays + For vectors `x1`, `x2`,..., `xn` with lengths ``Ni=len(xi)``, + returns ``(N1, N2, N3,..., Nn)`` shaped arrays if indexing='ij' + or ``(N2, N1, N3,..., Nn)`` shaped arrays if indexing='xy' + with the elements of `xi` repeated to fill the matrix along + the first dimension for `x1`, the second for `x2` and so on. + + Notes + ----- + This function supports both indexing conventions through the indexing + keyword argument. Giving the string 'ij' returns a meshgrid with + matrix indexing, while 'xy' returns a meshgrid with Cartesian indexing. + In the 2-D case with inputs of length M and N, the outputs are of shape + (N, M) for 'xy' indexing and (M, N) for 'ij' indexing. In the 3-D case + with inputs of length M, N and P, outputs are of shape (N, M, P) for + 'xy' indexing and (M, N, P) for 'ij' indexing. The difference is + illustrated by the following code snippet:: + + xv, yv = np.meshgrid(x, y, indexing='ij') + for i in range(nx): + for j in range(ny): + # treat xv[i,j], yv[i,j] + + xv, yv = np.meshgrid(x, y, indexing='xy') + for i in range(nx): + for j in range(ny): + # treat xv[j,i], yv[j,i] + + In the 1-D and 0-D case, the indexing and sparse keywords have no effect. + + See Also + -------- + mgrid : Construct a multi-dimensional "meshgrid" using indexing notation. + ogrid : Construct an open multi-dimensional "meshgrid" using indexing + notation. + how-to-index + + Examples + -------- + >>> nx, ny = (3, 2) + >>> x = np.linspace(0, 1, nx) + >>> y = np.linspace(0, 1, ny) + >>> xv, yv = np.meshgrid(x, y) + >>> xv + array([[0. , 0.5, 1. ], + [0. , 0.5, 1. ]]) + >>> yv + array([[0., 0., 0.], + [1., 1., 1.]]) + + The result of `meshgrid` is a coordinate grid: + + >>> import matplotlib.pyplot as plt + >>> plt.plot(xv, yv, marker='o', color='k', linestyle='none') + >>> plt.show() + + You can create sparse output arrays to save memory and computation time. + + >>> xv, yv = np.meshgrid(x, y, sparse=True) + >>> xv + array([[0. , 0.5, 1. ]]) + >>> yv + array([[0.], + [1.]]) + + `meshgrid` is very useful to evaluate functions on a grid. If the + function depends on all coordinates, both dense and sparse outputs can be + used. + + >>> x = np.linspace(-5, 5, 101) + >>> y = np.linspace(-5, 5, 101) + >>> # full coordinate arrays + >>> xx, yy = np.meshgrid(x, y) + >>> zz = np.sqrt(xx**2 + yy**2) + >>> xx.shape, yy.shape, zz.shape + ((101, 101), (101, 101), (101, 101)) + >>> # sparse coordinate arrays + >>> xs, ys = np.meshgrid(x, y, sparse=True) + >>> zs = np.sqrt(xs**2 + ys**2) + >>> xs.shape, ys.shape, zs.shape + ((1, 101), (101, 1), (101, 101)) + >>> np.array_equal(zz, zs) + True + + >>> h = plt.contourf(x, y, zs) + >>> plt.axis('scaled') + >>> plt.colorbar() + >>> plt.show() + """ + ndim = len(xi) + + if indexing not in ['xy', 'ij']: + raise ValueError( + "Valid values for `indexing` are 'xy' and 'ij'.") + + s0 = (1,) * ndim + output = [np.asanyarray(x).reshape(s0[:i] + (-1,) + s0[i + 1:]) + for i, x in enumerate(xi)] + + if indexing == 'xy' and ndim > 1: + # switch first and second axis + output[0].shape = (1, -1) + s0[2:] + output[1].shape = (-1, 1) + s0[2:] + + if not sparse: + # Return the full N-D matrix (not only the 1-D vector) + output = np.broadcast_arrays(*output, subok=True) + + if copy: + output = [x.copy() for x in output] + + return output + + +def _delete_dispatcher(arr, obj, axis=None): + return (arr, obj) + + +@array_function_dispatch(_delete_dispatcher) +def delete(arr, obj, axis=None): + """ + Return a new array with sub-arrays along an axis deleted. For a one + dimensional array, this returns those entries not returned by + `arr[obj]`. + + Parameters + ---------- + arr : array_like + Input array. + obj : slice, int or array of ints + Indicate indices of sub-arrays to remove along the specified axis. + + .. versionchanged:: 1.19.0 + Boolean indices are now treated as a mask of elements to remove, + rather than being cast to the integers 0 and 1. + + axis : int, optional + The axis along which to delete the subarray defined by `obj`. + If `axis` is None, `obj` is applied to the flattened array. + + Returns + ------- + out : ndarray + A copy of `arr` with the elements specified by `obj` removed. Note + that `delete` does not occur in-place. If `axis` is None, `out` is + a flattened array. + + See Also + -------- + insert : Insert elements into an array. + append : Append elements at the end of an array. + + Notes + ----- + Often it is preferable to use a boolean mask. For example: + + >>> arr = np.arange(12) + 1 + >>> mask = np.ones(len(arr), dtype=bool) + >>> mask[[0,2,4]] = False + >>> result = arr[mask,...] + + Is equivalent to ``np.delete(arr, [0,2,4], axis=0)``, but allows further + use of `mask`. + + Examples + -------- + >>> arr = np.array([[1,2,3,4], [5,6,7,8], [9,10,11,12]]) + >>> arr + array([[ 1, 2, 3, 4], + [ 5, 6, 7, 8], + [ 9, 10, 11, 12]]) + >>> np.delete(arr, 1, 0) + array([[ 1, 2, 3, 4], + [ 9, 10, 11, 12]]) + + >>> np.delete(arr, np.s_[::2], 1) + array([[ 2, 4], + [ 6, 8], + [10, 12]]) + >>> np.delete(arr, [1,3,5], None) + array([ 1, 3, 5, 7, 8, 9, 10, 11, 12]) + + """ + wrap = None + if type(arr) is not ndarray: + try: + wrap = arr.__array_wrap__ + except AttributeError: + pass + + arr = asarray(arr) + ndim = arr.ndim + arrorder = 'F' if arr.flags.fnc else 'C' + if axis is None: + if ndim != 1: + arr = arr.ravel() + # needed for np.matrix, which is still not 1d after being ravelled + ndim = arr.ndim + axis = ndim - 1 + else: + axis = normalize_axis_index(axis, ndim) + + slobj = [slice(None)]*ndim + N = arr.shape[axis] + newshape = list(arr.shape) + + if isinstance(obj, slice): + start, stop, step = obj.indices(N) + xr = range(start, stop, step) + numtodel = len(xr) + + if numtodel <= 0: + if wrap: + return wrap(arr.copy(order=arrorder)) + else: + return arr.copy(order=arrorder) + + # Invert if step is negative: + if step < 0: + step = -step + start = xr[-1] + stop = xr[0] + 1 + + newshape[axis] -= numtodel + new = empty(newshape, arr.dtype, arrorder) + # copy initial chunk + if start == 0: + pass + else: + slobj[axis] = slice(None, start) + new[tuple(slobj)] = arr[tuple(slobj)] + # copy end chunk + if stop == N: + pass + else: + slobj[axis] = slice(stop-numtodel, None) + slobj2 = [slice(None)]*ndim + slobj2[axis] = slice(stop, None) + new[tuple(slobj)] = arr[tuple(slobj2)] + # copy middle pieces + if step == 1: + pass + else: # use array indexing. + keep = ones(stop-start, dtype=bool) + keep[:stop-start:step] = False + slobj[axis] = slice(start, stop-numtodel) + slobj2 = [slice(None)]*ndim + slobj2[axis] = slice(start, stop) + arr = arr[tuple(slobj2)] + slobj2[axis] = keep + new[tuple(slobj)] = arr[tuple(slobj2)] + if wrap: + return wrap(new) + else: + return new + + if isinstance(obj, (int, integer)) and not isinstance(obj, bool): + single_value = True + else: + single_value = False + _obj = obj + obj = np.asarray(obj) + # `size == 0` to allow empty lists similar to indexing, but (as there) + # is really too generic: + if obj.size == 0 and not isinstance(_obj, np.ndarray): + obj = obj.astype(intp) + elif obj.size == 1 and obj.dtype.kind in "ui": + # For a size 1 integer array we can use the single-value path + # (most dtypes, except boolean, should just fail later). + obj = obj.item() + single_value = True + + if single_value: + # optimization for a single value + if (obj < -N or obj >= N): + raise IndexError( + "index %i is out of bounds for axis %i with " + "size %i" % (obj, axis, N)) + if (obj < 0): + obj += N + newshape[axis] -= 1 + new = empty(newshape, arr.dtype, arrorder) + slobj[axis] = slice(None, obj) + new[tuple(slobj)] = arr[tuple(slobj)] + slobj[axis] = slice(obj, None) + slobj2 = [slice(None)]*ndim + slobj2[axis] = slice(obj+1, None) + new[tuple(slobj)] = arr[tuple(slobj2)] + else: + if obj.dtype == bool: + if obj.shape != (N,): + raise ValueError('boolean array argument obj to delete ' + 'must be one dimensional and match the axis ' + 'length of {}'.format(N)) + + # optimization, the other branch is slower + keep = ~obj + else: + keep = ones(N, dtype=bool) + keep[obj,] = False + + slobj[axis] = keep + new = arr[tuple(slobj)] + + if wrap: + return wrap(new) + else: + return new + + +def _insert_dispatcher(arr, obj, values, axis=None): + return (arr, obj, values) + + +@array_function_dispatch(_insert_dispatcher) +def insert(arr, obj, values, axis=None): + """ + Insert values along the given axis before the given indices. + + Parameters + ---------- + arr : array_like + Input array. + obj : int, slice or sequence of ints + Object that defines the index or indices before which `values` is + inserted. + + .. versionadded:: 1.8.0 + + Support for multiple insertions when `obj` is a single scalar or a + sequence with one element (similar to calling insert multiple + times). + values : array_like + Values to insert into `arr`. If the type of `values` is different + from that of `arr`, `values` is converted to the type of `arr`. + `values` should be shaped so that ``arr[...,obj,...] = values`` + is legal. + axis : int, optional + Axis along which to insert `values`. If `axis` is None then `arr` + is flattened first. + + Returns + ------- + out : ndarray + A copy of `arr` with `values` inserted. Note that `insert` + does not occur in-place: a new array is returned. If + `axis` is None, `out` is a flattened array. + + See Also + -------- + append : Append elements at the end of an array. + concatenate : Join a sequence of arrays along an existing axis. + delete : Delete elements from an array. + + Notes + ----- + Note that for higher dimensional inserts ``obj=0`` behaves very different + from ``obj=[0]`` just like ``arr[:,0,:] = values`` is different from + ``arr[:,[0],:] = values``. + + Examples + -------- + >>> a = np.array([[1, 1], [2, 2], [3, 3]]) + >>> a + array([[1, 1], + [2, 2], + [3, 3]]) + >>> np.insert(a, 1, 5) + array([1, 5, 1, ..., 2, 3, 3]) + >>> np.insert(a, 1, 5, axis=1) + array([[1, 5, 1], + [2, 5, 2], + [3, 5, 3]]) + + Difference between sequence and scalars: + + >>> np.insert(a, [1], [[1],[2],[3]], axis=1) + array([[1, 1, 1], + [2, 2, 2], + [3, 3, 3]]) + >>> np.array_equal(np.insert(a, 1, [1, 2, 3], axis=1), + ... np.insert(a, [1], [[1],[2],[3]], axis=1)) + True + + >>> b = a.flatten() + >>> b + array([1, 1, 2, 2, 3, 3]) + >>> np.insert(b, [2, 2], [5, 6]) + array([1, 1, 5, ..., 2, 3, 3]) + + >>> np.insert(b, slice(2, 4), [5, 6]) + array([1, 1, 5, ..., 2, 3, 3]) + + >>> np.insert(b, [2, 2], [7.13, False]) # type casting + array([1, 1, 7, ..., 2, 3, 3]) + + >>> x = np.arange(8).reshape(2, 4) + >>> idx = (1, 3) + >>> np.insert(x, idx, 999, axis=1) + array([[ 0, 999, 1, 2, 999, 3], + [ 4, 999, 5, 6, 999, 7]]) + + """ + wrap = None + if type(arr) is not ndarray: + try: + wrap = arr.__array_wrap__ + except AttributeError: + pass + + arr = asarray(arr) + ndim = arr.ndim + arrorder = 'F' if arr.flags.fnc else 'C' + if axis is None: + if ndim != 1: + arr = arr.ravel() + # needed for np.matrix, which is still not 1d after being ravelled + ndim = arr.ndim + axis = ndim - 1 + else: + axis = normalize_axis_index(axis, ndim) + slobj = [slice(None)]*ndim + N = arr.shape[axis] + newshape = list(arr.shape) + + if isinstance(obj, slice): + # turn it into a range object + indices = arange(*obj.indices(N), dtype=intp) + else: + # need to copy obj, because indices will be changed in-place + indices = np.array(obj) + if indices.dtype == bool: + # See also delete + # 2012-10-11, NumPy 1.8 + warnings.warn( + "in the future insert will treat boolean arrays and " + "array-likes as a boolean index instead of casting it to " + "integer", FutureWarning, stacklevel=2) + indices = indices.astype(intp) + # Code after warning period: + #if obj.ndim != 1: + # raise ValueError('boolean array argument obj to insert ' + # 'must be one dimensional') + #indices = np.flatnonzero(obj) + elif indices.ndim > 1: + raise ValueError( + "index array argument obj to insert must be one dimensional " + "or scalar") + if indices.size == 1: + index = indices.item() + if index < -N or index > N: + raise IndexError(f"index {obj} is out of bounds for axis {axis} " + f"with size {N}") + if (index < 0): + index += N + + # There are some object array corner cases here, but we cannot avoid + # that: + values = array(values, copy=False, ndmin=arr.ndim, dtype=arr.dtype) + if indices.ndim == 0: + # broadcasting is very different here, since a[:,0,:] = ... behaves + # very different from a[:,[0],:] = ...! This changes values so that + # it works likes the second case. (here a[:,0:1,:]) + values = np.moveaxis(values, 0, axis) + numnew = values.shape[axis] + newshape[axis] += numnew + new = empty(newshape, arr.dtype, arrorder) + slobj[axis] = slice(None, index) + new[tuple(slobj)] = arr[tuple(slobj)] + slobj[axis] = slice(index, index+numnew) + new[tuple(slobj)] = values + slobj[axis] = slice(index+numnew, None) + slobj2 = [slice(None)] * ndim + slobj2[axis] = slice(index, None) + new[tuple(slobj)] = arr[tuple(slobj2)] + if wrap: + return wrap(new) + return new + elif indices.size == 0 and not isinstance(obj, np.ndarray): + # Can safely cast the empty list to intp + indices = indices.astype(intp) + + indices[indices < 0] += N + + numnew = len(indices) + order = indices.argsort(kind='mergesort') # stable sort + indices[order] += np.arange(numnew) + + newshape[axis] += numnew + old_mask = ones(newshape[axis], dtype=bool) + old_mask[indices] = False + + new = empty(newshape, arr.dtype, arrorder) + slobj2 = [slice(None)]*ndim + slobj[axis] = indices + slobj2[axis] = old_mask + new[tuple(slobj)] = values + new[tuple(slobj2)] = arr + + if wrap: + return wrap(new) + return new + + +def _append_dispatcher(arr, values, axis=None): + return (arr, values) + + +@array_function_dispatch(_append_dispatcher) +def append(arr, values, axis=None): + """ + Append values to the end of an array. + + Parameters + ---------- + arr : array_like + Values are appended to a copy of this array. + values : array_like + These values are appended to a copy of `arr`. It must be of the + correct shape (the same shape as `arr`, excluding `axis`). If + `axis` is not specified, `values` can be any shape and will be + flattened before use. + axis : int, optional + The axis along which `values` are appended. If `axis` is not + given, both `arr` and `values` are flattened before use. + + Returns + ------- + append : ndarray + A copy of `arr` with `values` appended to `axis`. Note that + `append` does not occur in-place: a new array is allocated and + filled. If `axis` is None, `out` is a flattened array. + + See Also + -------- + insert : Insert elements into an array. + delete : Delete elements from an array. + + Examples + -------- + >>> np.append([1, 2, 3], [[4, 5, 6], [7, 8, 9]]) + array([1, 2, 3, ..., 7, 8, 9]) + + When `axis` is specified, `values` must have the correct shape. + + >>> np.append([[1, 2, 3], [4, 5, 6]], [[7, 8, 9]], axis=0) + array([[1, 2, 3], + [4, 5, 6], + [7, 8, 9]]) + >>> np.append([[1, 2, 3], [4, 5, 6]], [7, 8, 9], axis=0) + Traceback (most recent call last): + ... + ValueError: all the input arrays must have same number of dimensions, but + the array at index 0 has 2 dimension(s) and the array at index 1 has 1 + dimension(s) + + """ + arr = asanyarray(arr) + if axis is None: + if arr.ndim != 1: + arr = arr.ravel() + values = ravel(values) + axis = arr.ndim-1 + return concatenate((arr, values), axis=axis) + + +def _digitize_dispatcher(x, bins, right=None): + return (x, bins) + + +@array_function_dispatch(_digitize_dispatcher) +def digitize(x, bins, right=False): + """ + Return the indices of the bins to which each value in input array belongs. + + ========= ============= ============================ + `right` order of bins returned index `i` satisfies + ========= ============= ============================ + ``False`` increasing ``bins[i-1] <= x < bins[i]`` + ``True`` increasing ``bins[i-1] < x <= bins[i]`` + ``False`` decreasing ``bins[i-1] > x >= bins[i]`` + ``True`` decreasing ``bins[i-1] >= x > bins[i]`` + ========= ============= ============================ + + If values in `x` are beyond the bounds of `bins`, 0 or ``len(bins)`` is + returned as appropriate. + + Parameters + ---------- + x : array_like + Input array to be binned. Prior to NumPy 1.10.0, this array had to + be 1-dimensional, but can now have any shape. + bins : array_like + Array of bins. It has to be 1-dimensional and monotonic. + right : bool, optional + Indicating whether the intervals include the right or the left bin + edge. Default behavior is (right==False) indicating that the interval + does not include the right edge. The left bin end is open in this + case, i.e., bins[i-1] <= x < bins[i] is the default behavior for + monotonically increasing bins. + + Returns + ------- + indices : ndarray of ints + Output array of indices, of same shape as `x`. + + Raises + ------ + ValueError + If `bins` is not monotonic. + TypeError + If the type of the input is complex. + + See Also + -------- + bincount, histogram, unique, searchsorted + + Notes + ----- + If values in `x` are such that they fall outside the bin range, + attempting to index `bins` with the indices that `digitize` returns + will result in an IndexError. + + .. versionadded:: 1.10.0 + + `np.digitize` is implemented in terms of `np.searchsorted`. This means + that a binary search is used to bin the values, which scales much better + for larger number of bins than the previous linear search. It also removes + the requirement for the input array to be 1-dimensional. + + For monotonically _increasing_ `bins`, the following are equivalent:: + + np.digitize(x, bins, right=True) + np.searchsorted(bins, x, side='left') + + Note that as the order of the arguments are reversed, the side must be too. + The `searchsorted` call is marginally faster, as it does not do any + monotonicity checks. Perhaps more importantly, it supports all dtypes. + + Examples + -------- + >>> x = np.array([0.2, 6.4, 3.0, 1.6]) + >>> bins = np.array([0.0, 1.0, 2.5, 4.0, 10.0]) + >>> inds = np.digitize(x, bins) + >>> inds + array([1, 4, 3, 2]) + >>> for n in range(x.size): + ... print(bins[inds[n]-1], "<=", x[n], "<", bins[inds[n]]) + ... + 0.0 <= 0.2 < 1.0 + 4.0 <= 6.4 < 10.0 + 2.5 <= 3.0 < 4.0 + 1.0 <= 1.6 < 2.5 + + >>> x = np.array([1.2, 10.0, 12.4, 15.5, 20.]) + >>> bins = np.array([0, 5, 10, 15, 20]) + >>> np.digitize(x,bins,right=True) + array([1, 2, 3, 4, 4]) + >>> np.digitize(x,bins,right=False) + array([1, 3, 3, 4, 5]) + """ + x = _nx.asarray(x) + bins = _nx.asarray(bins) + + # here for compatibility, searchsorted below is happy to take this + if np.issubdtype(x.dtype, _nx.complexfloating): + raise TypeError("x may not be complex") + + mono = _monotonicity(bins) + if mono == 0: + raise ValueError("bins must be monotonically increasing or decreasing") + + # this is backwards because the arguments below are swapped + side = 'left' if right else 'right' + if mono == -1: + # reverse the bins, and invert the results + return len(bins) - _nx.searchsorted(bins[::-1], x, side=side) + else: + return _nx.searchsorted(bins, x, side=side) diff --git a/lib/python3.12/site-packages/numpy/lib/function_base.pyi b/lib/python3.12/site-packages/numpy/lib/function_base.pyi new file mode 100644 index 0000000000000000000000000000000000000000..687e4ab1708bf2667f1ff4fc8344bab9786cefc9 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/function_base.pyi @@ -0,0 +1,697 @@ +import sys +from collections.abc import Sequence, Iterator, Callable, Iterable +from typing import ( + Literal as L, + Any, + TypeVar, + overload, + Protocol, + SupportsIndex, + SupportsInt, +) + +if sys.version_info >= (3, 10): + from typing import TypeGuard +else: + from typing_extensions import TypeGuard + +from numpy import ( + vectorize as vectorize, + ufunc, + generic, + floating, + complexfloating, + intp, + float64, + complex128, + timedelta64, + datetime64, + object_, + _OrderKACF, +) + +from numpy._typing import ( + NDArray, + ArrayLike, + DTypeLike, + _ShapeLike, + _ScalarLike_co, + _DTypeLike, + _ArrayLike, + _ArrayLikeInt_co, + _ArrayLikeFloat_co, + _ArrayLikeComplex_co, + _ArrayLikeTD64_co, + _ArrayLikeDT64_co, + _ArrayLikeObject_co, + _FloatLike_co, + _ComplexLike_co, +) + +from numpy.core.function_base import ( + add_newdoc as add_newdoc, +) + +from numpy.core.multiarray import ( + add_docstring as add_docstring, + bincount as bincount, +) + +from numpy.core.umath import _add_newdoc_ufunc + +_T = TypeVar("_T") +_T_co = TypeVar("_T_co", covariant=True) +_SCT = TypeVar("_SCT", bound=generic) +_ArrayType = TypeVar("_ArrayType", bound=NDArray[Any]) + +_2Tuple = tuple[_T, _T] + +class _TrimZerosSequence(Protocol[_T_co]): + def __len__(self) -> int: ... + def __getitem__(self, key: slice, /) -> _T_co: ... + def __iter__(self) -> Iterator[Any]: ... + +class _SupportsWriteFlush(Protocol): + def write(self, s: str, /) -> object: ... + def flush(self) -> object: ... + +__all__: list[str] + +# NOTE: This is in reality a re-export of `np.core.umath._add_newdoc_ufunc` +def add_newdoc_ufunc(ufunc: ufunc, new_docstring: str, /) -> None: ... + +@overload +def rot90( + m: _ArrayLike[_SCT], + k: int = ..., + axes: tuple[int, int] = ..., +) -> NDArray[_SCT]: ... +@overload +def rot90( + m: ArrayLike, + k: int = ..., + axes: tuple[int, int] = ..., +) -> NDArray[Any]: ... + +@overload +def flip(m: _SCT, axis: None = ...) -> _SCT: ... +@overload +def flip(m: _ScalarLike_co, axis: None = ...) -> Any: ... +@overload +def flip(m: _ArrayLike[_SCT], axis: None | _ShapeLike = ...) -> NDArray[_SCT]: ... +@overload +def flip(m: ArrayLike, axis: None | _ShapeLike = ...) -> NDArray[Any]: ... + +def iterable(y: object) -> TypeGuard[Iterable[Any]]: ... + +@overload +def average( + a: _ArrayLikeFloat_co, + axis: None = ..., + weights: None | _ArrayLikeFloat_co= ..., + returned: L[False] = ..., + keepdims: L[False] = ..., +) -> floating[Any]: ... +@overload +def average( + a: _ArrayLikeComplex_co, + axis: None = ..., + weights: None | _ArrayLikeComplex_co = ..., + returned: L[False] = ..., + keepdims: L[False] = ..., +) -> complexfloating[Any, Any]: ... +@overload +def average( + a: _ArrayLikeObject_co, + axis: None = ..., + weights: None | Any = ..., + returned: L[False] = ..., + keepdims: L[False] = ..., +) -> Any: ... +@overload +def average( + a: _ArrayLikeFloat_co, + axis: None = ..., + weights: None | _ArrayLikeFloat_co= ..., + returned: L[True] = ..., + keepdims: L[False] = ..., +) -> _2Tuple[floating[Any]]: ... +@overload +def average( + a: _ArrayLikeComplex_co, + axis: None = ..., + weights: None | _ArrayLikeComplex_co = ..., + returned: L[True] = ..., + keepdims: L[False] = ..., +) -> _2Tuple[complexfloating[Any, Any]]: ... +@overload +def average( + a: _ArrayLikeObject_co, + axis: None = ..., + weights: None | Any = ..., + returned: L[True] = ..., + keepdims: L[False] = ..., +) -> _2Tuple[Any]: ... +@overload +def average( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + axis: None | _ShapeLike = ..., + weights: None | Any = ..., + returned: L[False] = ..., + keepdims: bool = ..., +) -> Any: ... +@overload +def average( + a: _ArrayLikeComplex_co | _ArrayLikeObject_co, + axis: None | _ShapeLike = ..., + weights: None | Any = ..., + returned: L[True] = ..., + keepdims: bool = ..., +) -> _2Tuple[Any]: ... + +@overload +def asarray_chkfinite( + a: _ArrayLike[_SCT], + dtype: None = ..., + order: _OrderKACF = ..., +) -> NDArray[_SCT]: ... +@overload +def asarray_chkfinite( + a: object, + dtype: None = ..., + order: _OrderKACF = ..., +) -> NDArray[Any]: ... +@overload +def asarray_chkfinite( + a: Any, + dtype: _DTypeLike[_SCT], + order: _OrderKACF = ..., +) -> NDArray[_SCT]: ... +@overload +def asarray_chkfinite( + a: Any, + dtype: DTypeLike, + order: _OrderKACF = ..., +) -> NDArray[Any]: ... + +# TODO: Use PEP 612 `ParamSpec` once mypy supports `Concatenate` +# xref python/mypy#8645 +@overload +def piecewise( + x: _ArrayLike[_SCT], + condlist: ArrayLike, + funclist: Sequence[Any | Callable[..., Any]], + *args: Any, + **kw: Any, +) -> NDArray[_SCT]: ... +@overload +def piecewise( + x: ArrayLike, + condlist: ArrayLike, + funclist: Sequence[Any | Callable[..., Any]], + *args: Any, + **kw: Any, +) -> NDArray[Any]: ... + +def select( + condlist: Sequence[ArrayLike], + choicelist: Sequence[ArrayLike], + default: ArrayLike = ..., +) -> NDArray[Any]: ... + +@overload +def copy( + a: _ArrayType, + order: _OrderKACF, + subok: L[True], +) -> _ArrayType: ... +@overload +def copy( + a: _ArrayType, + order: _OrderKACF = ..., + *, + subok: L[True], +) -> _ArrayType: ... +@overload +def copy( + a: _ArrayLike[_SCT], + order: _OrderKACF = ..., + subok: L[False] = ..., +) -> NDArray[_SCT]: ... +@overload +def copy( + a: ArrayLike, + order: _OrderKACF = ..., + subok: L[False] = ..., +) -> NDArray[Any]: ... + +def gradient( + f: ArrayLike, + *varargs: ArrayLike, + axis: None | _ShapeLike = ..., + edge_order: L[1, 2] = ..., +) -> Any: ... + +@overload +def diff( + a: _T, + n: L[0], + axis: SupportsIndex = ..., + prepend: ArrayLike = ..., + append: ArrayLike = ..., +) -> _T: ... +@overload +def diff( + a: ArrayLike, + n: int = ..., + axis: SupportsIndex = ..., + prepend: ArrayLike = ..., + append: ArrayLike = ..., +) -> NDArray[Any]: ... + +@overload +def interp( + x: _ArrayLikeFloat_co, + xp: _ArrayLikeFloat_co, + fp: _ArrayLikeFloat_co, + left: None | _FloatLike_co = ..., + right: None | _FloatLike_co = ..., + period: None | _FloatLike_co = ..., +) -> NDArray[float64]: ... +@overload +def interp( + x: _ArrayLikeFloat_co, + xp: _ArrayLikeFloat_co, + fp: _ArrayLikeComplex_co, + left: None | _ComplexLike_co = ..., + right: None | _ComplexLike_co = ..., + period: None | _FloatLike_co = ..., +) -> NDArray[complex128]: ... + +@overload +def angle(z: _ComplexLike_co, deg: bool = ...) -> floating[Any]: ... +@overload +def angle(z: object_, deg: bool = ...) -> Any: ... +@overload +def angle(z: _ArrayLikeComplex_co, deg: bool = ...) -> NDArray[floating[Any]]: ... +@overload +def angle(z: _ArrayLikeObject_co, deg: bool = ...) -> NDArray[object_]: ... + +@overload +def unwrap( + p: _ArrayLikeFloat_co, + discont: None | float = ..., + axis: int = ..., + *, + period: float = ..., +) -> NDArray[floating[Any]]: ... +@overload +def unwrap( + p: _ArrayLikeObject_co, + discont: None | float = ..., + axis: int = ..., + *, + period: float = ..., +) -> NDArray[object_]: ... + +def sort_complex(a: ArrayLike) -> NDArray[complexfloating[Any, Any]]: ... + +def trim_zeros( + filt: _TrimZerosSequence[_T], + trim: L["f", "b", "fb", "bf"] = ..., +) -> _T: ... + +@overload +def extract(condition: ArrayLike, arr: _ArrayLike[_SCT]) -> NDArray[_SCT]: ... +@overload +def extract(condition: ArrayLike, arr: ArrayLike) -> NDArray[Any]: ... + +def place(arr: NDArray[Any], mask: ArrayLike, vals: Any) -> None: ... + +def disp( + mesg: object, + device: None | _SupportsWriteFlush = ..., + linefeed: bool = ..., +) -> None: ... + +@overload +def cov( + m: _ArrayLikeFloat_co, + y: None | _ArrayLikeFloat_co = ..., + rowvar: bool = ..., + bias: bool = ..., + ddof: None | SupportsIndex | SupportsInt = ..., + fweights: None | ArrayLike = ..., + aweights: None | ArrayLike = ..., + *, + dtype: None = ..., +) -> NDArray[floating[Any]]: ... +@overload +def cov( + m: _ArrayLikeComplex_co, + y: None | _ArrayLikeComplex_co = ..., + rowvar: bool = ..., + bias: bool = ..., + ddof: None | SupportsIndex | SupportsInt = ..., + fweights: None | ArrayLike = ..., + aweights: None | ArrayLike = ..., + *, + dtype: None = ..., +) -> NDArray[complexfloating[Any, Any]]: ... +@overload +def cov( + m: _ArrayLikeComplex_co, + y: None | _ArrayLikeComplex_co = ..., + rowvar: bool = ..., + bias: bool = ..., + ddof: None | SupportsIndex | SupportsInt = ..., + fweights: None | ArrayLike = ..., + aweights: None | ArrayLike = ..., + *, + dtype: _DTypeLike[_SCT], +) -> NDArray[_SCT]: ... +@overload +def cov( + m: _ArrayLikeComplex_co, + y: None | _ArrayLikeComplex_co = ..., + rowvar: bool = ..., + bias: bool = ..., + ddof: None | SupportsIndex | SupportsInt = ..., + fweights: None | ArrayLike = ..., + aweights: None | ArrayLike = ..., + *, + dtype: DTypeLike, +) -> NDArray[Any]: ... + +# NOTE `bias` and `ddof` have been deprecated +@overload +def corrcoef( + m: _ArrayLikeFloat_co, + y: None | _ArrayLikeFloat_co = ..., + rowvar: bool = ..., + *, + dtype: None = ..., +) -> NDArray[floating[Any]]: ... +@overload +def corrcoef( + m: _ArrayLikeComplex_co, + y: None | _ArrayLikeComplex_co = ..., + rowvar: bool = ..., + *, + dtype: None = ..., +) -> NDArray[complexfloating[Any, Any]]: ... +@overload +def corrcoef( + m: _ArrayLikeComplex_co, + y: None | _ArrayLikeComplex_co = ..., + rowvar: bool = ..., + *, + dtype: _DTypeLike[_SCT], +) -> NDArray[_SCT]: ... +@overload +def corrcoef( + m: _ArrayLikeComplex_co, + y: None | _ArrayLikeComplex_co = ..., + rowvar: bool = ..., + *, + dtype: DTypeLike, +) -> NDArray[Any]: ... + +def blackman(M: _FloatLike_co) -> NDArray[floating[Any]]: ... + +def bartlett(M: _FloatLike_co) -> NDArray[floating[Any]]: ... + +def hanning(M: _FloatLike_co) -> NDArray[floating[Any]]: ... + +def hamming(M: _FloatLike_co) -> NDArray[floating[Any]]: ... + +def i0(x: _ArrayLikeFloat_co) -> NDArray[floating[Any]]: ... + +def kaiser( + M: _FloatLike_co, + beta: _FloatLike_co, +) -> NDArray[floating[Any]]: ... + +@overload +def sinc(x: _FloatLike_co) -> floating[Any]: ... +@overload +def sinc(x: _ComplexLike_co) -> complexfloating[Any, Any]: ... +@overload +def sinc(x: _ArrayLikeFloat_co) -> NDArray[floating[Any]]: ... +@overload +def sinc(x: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ... + +# NOTE: Deprecated +# def msort(a: ArrayLike) -> NDArray[Any]: ... + +@overload +def median( + a: _ArrayLikeFloat_co, + axis: None = ..., + out: None = ..., + overwrite_input: bool = ..., + keepdims: L[False] = ..., +) -> floating[Any]: ... +@overload +def median( + a: _ArrayLikeComplex_co, + axis: None = ..., + out: None = ..., + overwrite_input: bool = ..., + keepdims: L[False] = ..., +) -> complexfloating[Any, Any]: ... +@overload +def median( + a: _ArrayLikeTD64_co, + axis: None = ..., + out: None = ..., + overwrite_input: bool = ..., + keepdims: L[False] = ..., +) -> timedelta64: ... +@overload +def median( + a: _ArrayLikeObject_co, + axis: None = ..., + out: None = ..., + overwrite_input: bool = ..., + keepdims: L[False] = ..., +) -> Any: ... +@overload +def median( + a: _ArrayLikeFloat_co | _ArrayLikeComplex_co | _ArrayLikeTD64_co | _ArrayLikeObject_co, + axis: None | _ShapeLike = ..., + out: None = ..., + overwrite_input: bool = ..., + keepdims: bool = ..., +) -> Any: ... +@overload +def median( + a: _ArrayLikeFloat_co | _ArrayLikeComplex_co | _ArrayLikeTD64_co | _ArrayLikeObject_co, + axis: None | _ShapeLike = ..., + out: _ArrayType = ..., + overwrite_input: bool = ..., + keepdims: bool = ..., +) -> _ArrayType: ... + +_MethodKind = L[ + "inverted_cdf", + "averaged_inverted_cdf", + "closest_observation", + "interpolated_inverted_cdf", + "hazen", + "weibull", + "linear", + "median_unbiased", + "normal_unbiased", + "lower", + "higher", + "midpoint", + "nearest", +] + +@overload +def percentile( + a: _ArrayLikeFloat_co, + q: _FloatLike_co, + axis: None = ..., + out: None = ..., + overwrite_input: bool = ..., + method: _MethodKind = ..., + keepdims: L[False] = ..., +) -> floating[Any]: ... +@overload +def percentile( + a: _ArrayLikeComplex_co, + q: _FloatLike_co, + axis: None = ..., + out: None = ..., + overwrite_input: bool = ..., + method: _MethodKind = ..., + keepdims: L[False] = ..., +) -> complexfloating[Any, Any]: ... +@overload +def percentile( + a: _ArrayLikeTD64_co, + q: _FloatLike_co, + axis: None = ..., + out: None = ..., + overwrite_input: bool = ..., + method: _MethodKind = ..., + keepdims: L[False] = ..., +) -> timedelta64: ... +@overload +def percentile( + a: _ArrayLikeDT64_co, + q: _FloatLike_co, + axis: None = ..., + out: None = ..., + overwrite_input: bool = ..., + method: _MethodKind = ..., + keepdims: L[False] = ..., +) -> datetime64: ... +@overload +def percentile( + a: _ArrayLikeObject_co, + q: _FloatLike_co, + axis: None = ..., + out: None = ..., + overwrite_input: bool = ..., + method: _MethodKind = ..., + keepdims: L[False] = ..., +) -> Any: ... +@overload +def percentile( + a: _ArrayLikeFloat_co, + q: _ArrayLikeFloat_co, + axis: None = ..., + out: None = ..., + overwrite_input: bool = ..., + method: _MethodKind = ..., + keepdims: L[False] = ..., +) -> NDArray[floating[Any]]: ... +@overload +def percentile( + a: _ArrayLikeComplex_co, + q: _ArrayLikeFloat_co, + axis: None = ..., + out: None = ..., + overwrite_input: bool = ..., + method: _MethodKind = ..., + keepdims: L[False] = ..., +) -> NDArray[complexfloating[Any, Any]]: ... +@overload +def percentile( + a: _ArrayLikeTD64_co, + q: _ArrayLikeFloat_co, + axis: None = ..., + out: None = ..., + overwrite_input: bool = ..., + method: _MethodKind = ..., + keepdims: L[False] = ..., +) -> NDArray[timedelta64]: ... +@overload +def percentile( + a: _ArrayLikeDT64_co, + q: _ArrayLikeFloat_co, + axis: None = ..., + out: None = ..., + overwrite_input: bool = ..., + method: _MethodKind = ..., + keepdims: L[False] = ..., +) -> NDArray[datetime64]: ... +@overload +def percentile( + a: _ArrayLikeObject_co, + q: _ArrayLikeFloat_co, + axis: None = ..., + out: None = ..., + overwrite_input: bool = ..., + method: _MethodKind = ..., + keepdims: L[False] = ..., +) -> NDArray[object_]: ... +@overload +def percentile( + a: _ArrayLikeComplex_co | _ArrayLikeTD64_co | _ArrayLikeTD64_co | _ArrayLikeObject_co, + q: _ArrayLikeFloat_co, + axis: None | _ShapeLike = ..., + out: None = ..., + overwrite_input: bool = ..., + method: _MethodKind = ..., + keepdims: bool = ..., +) -> Any: ... +@overload +def percentile( + a: _ArrayLikeComplex_co | _ArrayLikeTD64_co | _ArrayLikeTD64_co | _ArrayLikeObject_co, + q: _ArrayLikeFloat_co, + axis: None | _ShapeLike = ..., + out: _ArrayType = ..., + overwrite_input: bool = ..., + method: _MethodKind = ..., + keepdims: bool = ..., +) -> _ArrayType: ... + +# NOTE: Not an alias, but they do have identical signatures +# (that we can reuse) +quantile = percentile + +# TODO: Returns a scalar for <= 1D array-likes; returns an ndarray otherwise +def trapz( + y: _ArrayLikeComplex_co | _ArrayLikeTD64_co | _ArrayLikeObject_co, + x: None | _ArrayLikeComplex_co | _ArrayLikeTD64_co | _ArrayLikeObject_co = ..., + dx: float = ..., + axis: SupportsIndex = ..., +) -> Any: ... + +def meshgrid( + *xi: ArrayLike, + copy: bool = ..., + sparse: bool = ..., + indexing: L["xy", "ij"] = ..., +) -> list[NDArray[Any]]: ... + +@overload +def delete( + arr: _ArrayLike[_SCT], + obj: slice | _ArrayLikeInt_co, + axis: None | SupportsIndex = ..., +) -> NDArray[_SCT]: ... +@overload +def delete( + arr: ArrayLike, + obj: slice | _ArrayLikeInt_co, + axis: None | SupportsIndex = ..., +) -> NDArray[Any]: ... + +@overload +def insert( + arr: _ArrayLike[_SCT], + obj: slice | _ArrayLikeInt_co, + values: ArrayLike, + axis: None | SupportsIndex = ..., +) -> NDArray[_SCT]: ... +@overload +def insert( + arr: ArrayLike, + obj: slice | _ArrayLikeInt_co, + values: ArrayLike, + axis: None | SupportsIndex = ..., +) -> NDArray[Any]: ... + +def append( + arr: ArrayLike, + values: ArrayLike, + axis: None | SupportsIndex = ..., +) -> NDArray[Any]: ... + +@overload +def digitize( + x: _FloatLike_co, + bins: _ArrayLikeFloat_co, + right: bool = ..., +) -> intp: ... +@overload +def digitize( + x: _ArrayLikeFloat_co, + bins: _ArrayLikeFloat_co, + right: bool = ..., +) -> NDArray[intp]: ... diff --git a/lib/python3.12/site-packages/numpy/lib/histograms.py b/lib/python3.12/site-packages/numpy/lib/histograms.py new file mode 100644 index 0000000000000000000000000000000000000000..6ac65b726928bb21432a7a6edcbf73fbeaedb137 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/histograms.py @@ -0,0 +1,1072 @@ +""" +Histogram-related functions +""" +import contextlib +import functools +import operator +import warnings + +import numpy as np +from numpy.core import overrides + +__all__ = ['histogram', 'histogramdd', 'histogram_bin_edges'] + +array_function_dispatch = functools.partial( + overrides.array_function_dispatch, module='numpy') + +# range is a keyword argument to many functions, so save the builtin so they can +# use it. +_range = range + + +def _ptp(x): + """Peak-to-peak value of x. + + This implementation avoids the problem of signed integer arrays having a + peak-to-peak value that cannot be represented with the array's data type. + This function returns an unsigned value for signed integer arrays. + """ + return _unsigned_subtract(x.max(), x.min()) + + +def _hist_bin_sqrt(x, range): + """ + Square root histogram bin estimator. + + Bin width is inversely proportional to the data size. Used by many + programs for its simplicity. + + Parameters + ---------- + x : array_like + Input data that is to be histogrammed, trimmed to range. May not + be empty. + + Returns + ------- + h : An estimate of the optimal bin width for the given data. + """ + del range # unused + return _ptp(x) / np.sqrt(x.size) + + +def _hist_bin_sturges(x, range): + """ + Sturges histogram bin estimator. + + A very simplistic estimator based on the assumption of normality of + the data. This estimator has poor performance for non-normal data, + which becomes especially obvious for large data sets. The estimate + depends only on size of the data. + + Parameters + ---------- + x : array_like + Input data that is to be histogrammed, trimmed to range. May not + be empty. + + Returns + ------- + h : An estimate of the optimal bin width for the given data. + """ + del range # unused + return _ptp(x) / (np.log2(x.size) + 1.0) + + +def _hist_bin_rice(x, range): + """ + Rice histogram bin estimator. + + Another simple estimator with no normality assumption. It has better + performance for large data than Sturges, but tends to overestimate + the number of bins. The number of bins is proportional to the cube + root of data size (asymptotically optimal). The estimate depends + only on size of the data. + + Parameters + ---------- + x : array_like + Input data that is to be histogrammed, trimmed to range. May not + be empty. + + Returns + ------- + h : An estimate of the optimal bin width for the given data. + """ + del range # unused + return _ptp(x) / (2.0 * x.size ** (1.0 / 3)) + + +def _hist_bin_scott(x, range): + """ + Scott histogram bin estimator. + + The binwidth is proportional to the standard deviation of the data + and inversely proportional to the cube root of data size + (asymptotically optimal). + + Parameters + ---------- + x : array_like + Input data that is to be histogrammed, trimmed to range. May not + be empty. + + Returns + ------- + h : An estimate of the optimal bin width for the given data. + """ + del range # unused + return (24.0 * np.pi**0.5 / x.size)**(1.0 / 3.0) * np.std(x) + + +def _hist_bin_stone(x, range): + """ + Histogram bin estimator based on minimizing the estimated integrated squared error (ISE). + + The number of bins is chosen by minimizing the estimated ISE against the unknown true distribution. + The ISE is estimated using cross-validation and can be regarded as a generalization of Scott's rule. + https://en.wikipedia.org/wiki/Histogram#Scott.27s_normal_reference_rule + + This paper by Stone appears to be the origination of this rule. + http://digitalassets.lib.berkeley.edu/sdtr/ucb/text/34.pdf + + Parameters + ---------- + x : array_like + Input data that is to be histogrammed, trimmed to range. May not + be empty. + range : (float, float) + The lower and upper range of the bins. + + Returns + ------- + h : An estimate of the optimal bin width for the given data. + """ + + n = x.size + ptp_x = _ptp(x) + if n <= 1 or ptp_x == 0: + return 0 + + def jhat(nbins): + hh = ptp_x / nbins + p_k = np.histogram(x, bins=nbins, range=range)[0] / n + return (2 - (n + 1) * p_k.dot(p_k)) / hh + + nbins_upper_bound = max(100, int(np.sqrt(n))) + nbins = min(_range(1, nbins_upper_bound + 1), key=jhat) + if nbins == nbins_upper_bound: + warnings.warn("The number of bins estimated may be suboptimal.", + RuntimeWarning, stacklevel=3) + return ptp_x / nbins + + +def _hist_bin_doane(x, range): + """ + Doane's histogram bin estimator. + + Improved version of Sturges' formula which works better for + non-normal data. See + stats.stackexchange.com/questions/55134/doanes-formula-for-histogram-binning + + Parameters + ---------- + x : array_like + Input data that is to be histogrammed, trimmed to range. May not + be empty. + + Returns + ------- + h : An estimate of the optimal bin width for the given data. + """ + del range # unused + if x.size > 2: + sg1 = np.sqrt(6.0 * (x.size - 2) / ((x.size + 1.0) * (x.size + 3))) + sigma = np.std(x) + if sigma > 0.0: + # These three operations add up to + # g1 = np.mean(((x - np.mean(x)) / sigma)**3) + # but use only one temp array instead of three + temp = x - np.mean(x) + np.true_divide(temp, sigma, temp) + np.power(temp, 3, temp) + g1 = np.mean(temp) + return _ptp(x) / (1.0 + np.log2(x.size) + + np.log2(1.0 + np.absolute(g1) / sg1)) + return 0.0 + + +def _hist_bin_fd(x, range): + """ + The Freedman-Diaconis histogram bin estimator. + + The Freedman-Diaconis rule uses interquartile range (IQR) to + estimate binwidth. It is considered a variation of the Scott rule + with more robustness as the IQR is less affected by outliers than + the standard deviation. However, the IQR depends on fewer points + than the standard deviation, so it is less accurate, especially for + long tailed distributions. + + If the IQR is 0, this function returns 0 for the bin width. + Binwidth is inversely proportional to the cube root of data size + (asymptotically optimal). + + Parameters + ---------- + x : array_like + Input data that is to be histogrammed, trimmed to range. May not + be empty. + + Returns + ------- + h : An estimate of the optimal bin width for the given data. + """ + del range # unused + iqr = np.subtract(*np.percentile(x, [75, 25])) + return 2.0 * iqr * x.size ** (-1.0 / 3.0) + + +def _hist_bin_auto(x, range): + """ + Histogram bin estimator that uses the minimum width of the + Freedman-Diaconis and Sturges estimators if the FD bin width is non-zero. + If the bin width from the FD estimator is 0, the Sturges estimator is used. + + The FD estimator is usually the most robust method, but its width + estimate tends to be too large for small `x` and bad for data with limited + variance. The Sturges estimator is quite good for small (<1000) datasets + and is the default in the R language. This method gives good off-the-shelf + behaviour. + + .. versionchanged:: 1.15.0 + If there is limited variance the IQR can be 0, which results in the + FD bin width being 0 too. This is not a valid bin width, so + ``np.histogram_bin_edges`` chooses 1 bin instead, which may not be optimal. + If the IQR is 0, it's unlikely any variance-based estimators will be of + use, so we revert to the Sturges estimator, which only uses the size of the + dataset in its calculation. + + Parameters + ---------- + x : array_like + Input data that is to be histogrammed, trimmed to range. May not + be empty. + + Returns + ------- + h : An estimate of the optimal bin width for the given data. + + See Also + -------- + _hist_bin_fd, _hist_bin_sturges + """ + fd_bw = _hist_bin_fd(x, range) + sturges_bw = _hist_bin_sturges(x, range) + del range # unused + if fd_bw: + return min(fd_bw, sturges_bw) + else: + # limited variance, so we return a len dependent bw estimator + return sturges_bw + +# Private dict initialized at module load time +_hist_bin_selectors = {'stone': _hist_bin_stone, + 'auto': _hist_bin_auto, + 'doane': _hist_bin_doane, + 'fd': _hist_bin_fd, + 'rice': _hist_bin_rice, + 'scott': _hist_bin_scott, + 'sqrt': _hist_bin_sqrt, + 'sturges': _hist_bin_sturges} + + +def _ravel_and_check_weights(a, weights): + """ Check a and weights have matching shapes, and ravel both """ + a = np.asarray(a) + + # Ensure that the array is a "subtractable" dtype + if a.dtype == np.bool_: + warnings.warn("Converting input from {} to {} for compatibility." + .format(a.dtype, np.uint8), + RuntimeWarning, stacklevel=3) + a = a.astype(np.uint8) + + if weights is not None: + weights = np.asarray(weights) + if weights.shape != a.shape: + raise ValueError( + 'weights should have the same shape as a.') + weights = weights.ravel() + a = a.ravel() + return a, weights + + +def _get_outer_edges(a, range): + """ + Determine the outer bin edges to use, from either the data or the range + argument + """ + if range is not None: + first_edge, last_edge = range + if first_edge > last_edge: + raise ValueError( + 'max must be larger than min in range parameter.') + if not (np.isfinite(first_edge) and np.isfinite(last_edge)): + raise ValueError( + "supplied range of [{}, {}] is not finite".format(first_edge, last_edge)) + elif a.size == 0: + # handle empty arrays. Can't determine range, so use 0-1. + first_edge, last_edge = 0, 1 + else: + first_edge, last_edge = a.min(), a.max() + if not (np.isfinite(first_edge) and np.isfinite(last_edge)): + raise ValueError( + "autodetected range of [{}, {}] is not finite".format(first_edge, last_edge)) + + # expand empty range to avoid divide by zero + if first_edge == last_edge: + first_edge = first_edge - 0.5 + last_edge = last_edge + 0.5 + + return first_edge, last_edge + + +def _unsigned_subtract(a, b): + """ + Subtract two values where a >= b, and produce an unsigned result + + This is needed when finding the difference between the upper and lower + bound of an int16 histogram + """ + # coerce to a single type + signed_to_unsigned = { + np.byte: np.ubyte, + np.short: np.ushort, + np.intc: np.uintc, + np.int_: np.uint, + np.longlong: np.ulonglong + } + dt = np.result_type(a, b) + try: + dt = signed_to_unsigned[dt.type] + except KeyError: + return np.subtract(a, b, dtype=dt) + else: + # we know the inputs are integers, and we are deliberately casting + # signed to unsigned + return np.subtract(a, b, casting='unsafe', dtype=dt) + + +def _get_bin_edges(a, bins, range, weights): + """ + Computes the bins used internally by `histogram`. + + Parameters + ========== + a : ndarray + Ravelled data array + bins, range + Forwarded arguments from `histogram`. + weights : ndarray, optional + Ravelled weights array, or None + + Returns + ======= + bin_edges : ndarray + Array of bin edges + uniform_bins : (Number, Number, int): + The upper bound, lowerbound, and number of bins, used in the optimized + implementation of `histogram` that works on uniform bins. + """ + # parse the overloaded bins argument + n_equal_bins = None + bin_edges = None + + if isinstance(bins, str): + bin_name = bins + # if `bins` is a string for an automatic method, + # this will replace it with the number of bins calculated + if bin_name not in _hist_bin_selectors: + raise ValueError( + "{!r} is not a valid estimator for `bins`".format(bin_name)) + if weights is not None: + raise TypeError("Automated estimation of the number of " + "bins is not supported for weighted data") + + first_edge, last_edge = _get_outer_edges(a, range) + + # truncate the range if needed + if range is not None: + keep = (a >= first_edge) + keep &= (a <= last_edge) + if not np.logical_and.reduce(keep): + a = a[keep] + + if a.size == 0: + n_equal_bins = 1 + else: + # Do not call selectors on empty arrays + width = _hist_bin_selectors[bin_name](a, (first_edge, last_edge)) + if width: + n_equal_bins = int(np.ceil(_unsigned_subtract(last_edge, first_edge) / width)) + else: + # Width can be zero for some estimators, e.g. FD when + # the IQR of the data is zero. + n_equal_bins = 1 + + elif np.ndim(bins) == 0: + try: + n_equal_bins = operator.index(bins) + except TypeError as e: + raise TypeError( + '`bins` must be an integer, a string, or an array') from e + if n_equal_bins < 1: + raise ValueError('`bins` must be positive, when an integer') + + first_edge, last_edge = _get_outer_edges(a, range) + + elif np.ndim(bins) == 1: + bin_edges = np.asarray(bins) + if np.any(bin_edges[:-1] > bin_edges[1:]): + raise ValueError( + '`bins` must increase monotonically, when an array') + + else: + raise ValueError('`bins` must be 1d, when an array') + + if n_equal_bins is not None: + # gh-10322 means that type resolution rules are dependent on array + # shapes. To avoid this causing problems, we pick a type now and stick + # with it throughout. + bin_type = np.result_type(first_edge, last_edge, a) + if np.issubdtype(bin_type, np.integer): + bin_type = np.result_type(bin_type, float) + + # bin edges must be computed + bin_edges = np.linspace( + first_edge, last_edge, n_equal_bins + 1, + endpoint=True, dtype=bin_type) + return bin_edges, (first_edge, last_edge, n_equal_bins) + else: + return bin_edges, None + + +def _search_sorted_inclusive(a, v): + """ + Like `searchsorted`, but where the last item in `v` is placed on the right. + + In the context of a histogram, this makes the last bin edge inclusive + """ + return np.concatenate(( + a.searchsorted(v[:-1], 'left'), + a.searchsorted(v[-1:], 'right') + )) + + +def _histogram_bin_edges_dispatcher(a, bins=None, range=None, weights=None): + return (a, bins, weights) + + +@array_function_dispatch(_histogram_bin_edges_dispatcher) +def histogram_bin_edges(a, bins=10, range=None, weights=None): + r""" + Function to calculate only the edges of the bins used by the `histogram` + function. + + Parameters + ---------- + a : array_like + Input data. The histogram is computed over the flattened array. + bins : int or sequence of scalars or str, optional + If `bins` is an int, it defines the number of equal-width + bins in the given range (10, by default). If `bins` is a + sequence, it defines the bin edges, including the rightmost + edge, allowing for non-uniform bin widths. + + If `bins` is a string from the list below, `histogram_bin_edges` will use + the method chosen to calculate the optimal bin width and + consequently the number of bins (see `Notes` for more detail on + the estimators) from the data that falls within the requested + range. While the bin width will be optimal for the actual data + in the range, the number of bins will be computed to fill the + entire range, including the empty portions. For visualisation, + using the 'auto' option is suggested. Weighted data is not + supported for automated bin size selection. + + 'auto' + Maximum of the 'sturges' and 'fd' estimators. Provides good + all around performance. + + 'fd' (Freedman Diaconis Estimator) + Robust (resilient to outliers) estimator that takes into + account data variability and data size. + + 'doane' + An improved version of Sturges' estimator that works better + with non-normal datasets. + + 'scott' + Less robust estimator that takes into account data variability + and data size. + + 'stone' + Estimator based on leave-one-out cross-validation estimate of + the integrated squared error. Can be regarded as a generalization + of Scott's rule. + + 'rice' + Estimator does not take variability into account, only data + size. Commonly overestimates number of bins required. + + 'sturges' + R's default method, only accounts for data size. Only + optimal for gaussian data and underestimates number of bins + for large non-gaussian datasets. + + 'sqrt' + Square root (of data size) estimator, used by Excel and + other programs for its speed and simplicity. + + range : (float, float), optional + The lower and upper range of the bins. If not provided, range + is simply ``(a.min(), a.max())``. Values outside the range are + ignored. The first element of the range must be less than or + equal to the second. `range` affects the automatic bin + computation as well. While bin width is computed to be optimal + based on the actual data within `range`, the bin count will fill + the entire range including portions containing no data. + + weights : array_like, optional + An array of weights, of the same shape as `a`. Each value in + `a` only contributes its associated weight towards the bin count + (instead of 1). This is currently not used by any of the bin estimators, + but may be in the future. + + Returns + ------- + bin_edges : array of dtype float + The edges to pass into `histogram` + + See Also + -------- + histogram + + Notes + ----- + The methods to estimate the optimal number of bins are well founded + in literature, and are inspired by the choices R provides for + histogram visualisation. Note that having the number of bins + proportional to :math:`n^{1/3}` is asymptotically optimal, which is + why it appears in most estimators. These are simply plug-in methods + that give good starting points for number of bins. In the equations + below, :math:`h` is the binwidth and :math:`n_h` is the number of + bins. All estimators that compute bin counts are recast to bin width + using the `ptp` of the data. The final bin count is obtained from + ``np.round(np.ceil(range / h))``. The final bin width is often less + than what is returned by the estimators below. + + 'auto' (maximum of the 'sturges' and 'fd' estimators) + A compromise to get a good value. For small datasets the Sturges + value will usually be chosen, while larger datasets will usually + default to FD. Avoids the overly conservative behaviour of FD + and Sturges for small and large datasets respectively. + Switchover point is usually :math:`a.size \approx 1000`. + + 'fd' (Freedman Diaconis Estimator) + .. math:: h = 2 \frac{IQR}{n^{1/3}} + + The binwidth is proportional to the interquartile range (IQR) + and inversely proportional to cube root of a.size. Can be too + conservative for small datasets, but is quite good for large + datasets. The IQR is very robust to outliers. + + 'scott' + .. math:: h = \sigma \sqrt[3]{\frac{24 \sqrt{\pi}}{n}} + + The binwidth is proportional to the standard deviation of the + data and inversely proportional to cube root of ``x.size``. Can + be too conservative for small datasets, but is quite good for + large datasets. The standard deviation is not very robust to + outliers. Values are very similar to the Freedman-Diaconis + estimator in the absence of outliers. + + 'rice' + .. math:: n_h = 2n^{1/3} + + The number of bins is only proportional to cube root of + ``a.size``. It tends to overestimate the number of bins and it + does not take into account data variability. + + 'sturges' + .. math:: n_h = \log _{2}(n) + 1 + + The number of bins is the base 2 log of ``a.size``. This + estimator assumes normality of data and is too conservative for + larger, non-normal datasets. This is the default method in R's + ``hist`` method. + + 'doane' + .. math:: n_h = 1 + \log_{2}(n) + + \log_{2}\left(1 + \frac{|g_1|}{\sigma_{g_1}}\right) + + g_1 = mean\left[\left(\frac{x - \mu}{\sigma}\right)^3\right] + + \sigma_{g_1} = \sqrt{\frac{6(n - 2)}{(n + 1)(n + 3)}} + + An improved version of Sturges' formula that produces better + estimates for non-normal datasets. This estimator attempts to + account for the skew of the data. + + 'sqrt' + .. math:: n_h = \sqrt n + + The simplest and fastest estimator. Only takes into account the + data size. + + Examples + -------- + >>> arr = np.array([0, 0, 0, 1, 2, 3, 3, 4, 5]) + >>> np.histogram_bin_edges(arr, bins='auto', range=(0, 1)) + array([0. , 0.25, 0.5 , 0.75, 1. ]) + >>> np.histogram_bin_edges(arr, bins=2) + array([0. , 2.5, 5. ]) + + For consistency with histogram, an array of pre-computed bins is + passed through unmodified: + + >>> np.histogram_bin_edges(arr, [1, 2]) + array([1, 2]) + + This function allows one set of bins to be computed, and reused across + multiple histograms: + + >>> shared_bins = np.histogram_bin_edges(arr, bins='auto') + >>> shared_bins + array([0., 1., 2., 3., 4., 5.]) + + >>> group_id = np.array([0, 1, 1, 0, 1, 1, 0, 1, 1]) + >>> hist_0, _ = np.histogram(arr[group_id == 0], bins=shared_bins) + >>> hist_1, _ = np.histogram(arr[group_id == 1], bins=shared_bins) + + >>> hist_0; hist_1 + array([1, 1, 0, 1, 0]) + array([2, 0, 1, 1, 2]) + + Which gives more easily comparable results than using separate bins for + each histogram: + + >>> hist_0, bins_0 = np.histogram(arr[group_id == 0], bins='auto') + >>> hist_1, bins_1 = np.histogram(arr[group_id == 1], bins='auto') + >>> hist_0; hist_1 + array([1, 1, 1]) + array([2, 1, 1, 2]) + >>> bins_0; bins_1 + array([0., 1., 2., 3.]) + array([0. , 1.25, 2.5 , 3.75, 5. ]) + + """ + a, weights = _ravel_and_check_weights(a, weights) + bin_edges, _ = _get_bin_edges(a, bins, range, weights) + return bin_edges + + +def _histogram_dispatcher( + a, bins=None, range=None, density=None, weights=None): + return (a, bins, weights) + + +@array_function_dispatch(_histogram_dispatcher) +def histogram(a, bins=10, range=None, density=None, weights=None): + r""" + Compute the histogram of a dataset. + + Parameters + ---------- + a : array_like + Input data. The histogram is computed over the flattened array. + bins : int or sequence of scalars or str, optional + If `bins` is an int, it defines the number of equal-width + bins in the given range (10, by default). If `bins` is a + sequence, it defines a monotonically increasing array of bin edges, + including the rightmost edge, allowing for non-uniform bin widths. + + .. versionadded:: 1.11.0 + + If `bins` is a string, it defines the method used to calculate the + optimal bin width, as defined by `histogram_bin_edges`. + + range : (float, float), optional + The lower and upper range of the bins. If not provided, range + is simply ``(a.min(), a.max())``. Values outside the range are + ignored. The first element of the range must be less than or + equal to the second. `range` affects the automatic bin + computation as well. While bin width is computed to be optimal + based on the actual data within `range`, the bin count will fill + the entire range including portions containing no data. + weights : array_like, optional + An array of weights, of the same shape as `a`. Each value in + `a` only contributes its associated weight towards the bin count + (instead of 1). If `density` is True, the weights are + normalized, so that the integral of the density over the range + remains 1. + density : bool, optional + If ``False``, the result will contain the number of samples in + each bin. If ``True``, the result is the value of the + probability *density* function at the bin, normalized such that + the *integral* over the range is 1. Note that the sum of the + histogram values will not be equal to 1 unless bins of unity + width are chosen; it is not a probability *mass* function. + + Returns + ------- + hist : array + The values of the histogram. See `density` and `weights` for a + description of the possible semantics. + bin_edges : array of dtype float + Return the bin edges ``(length(hist)+1)``. + + + See Also + -------- + histogramdd, bincount, searchsorted, digitize, histogram_bin_edges + + Notes + ----- + All but the last (righthand-most) bin is half-open. In other words, + if `bins` is:: + + [1, 2, 3, 4] + + then the first bin is ``[1, 2)`` (including 1, but excluding 2) and + the second ``[2, 3)``. The last bin, however, is ``[3, 4]``, which + *includes* 4. + + + Examples + -------- + >>> np.histogram([1, 2, 1], bins=[0, 1, 2, 3]) + (array([0, 2, 1]), array([0, 1, 2, 3])) + >>> np.histogram(np.arange(4), bins=np.arange(5), density=True) + (array([0.25, 0.25, 0.25, 0.25]), array([0, 1, 2, 3, 4])) + >>> np.histogram([[1, 2, 1], [1, 0, 1]], bins=[0,1,2,3]) + (array([1, 4, 1]), array([0, 1, 2, 3])) + + >>> a = np.arange(5) + >>> hist, bin_edges = np.histogram(a, density=True) + >>> hist + array([0.5, 0. , 0.5, 0. , 0. , 0.5, 0. , 0.5, 0. , 0.5]) + >>> hist.sum() + 2.4999999999999996 + >>> np.sum(hist * np.diff(bin_edges)) + 1.0 + + .. versionadded:: 1.11.0 + + Automated Bin Selection Methods example, using 2 peak random data + with 2000 points: + + >>> import matplotlib.pyplot as plt + >>> rng = np.random.RandomState(10) # deterministic random data + >>> a = np.hstack((rng.normal(size=1000), + ... rng.normal(loc=5, scale=2, size=1000))) + >>> _ = plt.hist(a, bins='auto') # arguments are passed to np.histogram + >>> plt.title("Histogram with 'auto' bins") + Text(0.5, 1.0, "Histogram with 'auto' bins") + >>> plt.show() + + """ + a, weights = _ravel_and_check_weights(a, weights) + + bin_edges, uniform_bins = _get_bin_edges(a, bins, range, weights) + + # Histogram is an integer or a float array depending on the weights. + if weights is None: + ntype = np.dtype(np.intp) + else: + ntype = weights.dtype + + # We set a block size, as this allows us to iterate over chunks when + # computing histograms, to minimize memory usage. + BLOCK = 65536 + + # The fast path uses bincount, but that only works for certain types + # of weight + simple_weights = ( + weights is None or + np.can_cast(weights.dtype, np.double) or + np.can_cast(weights.dtype, complex) + ) + + if uniform_bins is not None and simple_weights: + # Fast algorithm for equal bins + # We now convert values of a to bin indices, under the assumption of + # equal bin widths (which is valid here). + first_edge, last_edge, n_equal_bins = uniform_bins + + # Initialize empty histogram + n = np.zeros(n_equal_bins, ntype) + + # Pre-compute histogram scaling factor + norm_numerator = n_equal_bins + norm_denom = _unsigned_subtract(last_edge, first_edge) + + # We iterate over blocks here for two reasons: the first is that for + # large arrays, it is actually faster (for example for a 10^8 array it + # is 2x as fast) and it results in a memory footprint 3x lower in the + # limit of large arrays. + for i in _range(0, len(a), BLOCK): + tmp_a = a[i:i+BLOCK] + if weights is None: + tmp_w = None + else: + tmp_w = weights[i:i + BLOCK] + + # Only include values in the right range + keep = (tmp_a >= first_edge) + keep &= (tmp_a <= last_edge) + if not np.logical_and.reduce(keep): + tmp_a = tmp_a[keep] + if tmp_w is not None: + tmp_w = tmp_w[keep] + + # This cast ensures no type promotions occur below, which gh-10322 + # make unpredictable. Getting it wrong leads to precision errors + # like gh-8123. + tmp_a = tmp_a.astype(bin_edges.dtype, copy=False) + + # Compute the bin indices, and for values that lie exactly on + # last_edge we need to subtract one + f_indices = ((_unsigned_subtract(tmp_a, first_edge) / norm_denom) + * norm_numerator) + indices = f_indices.astype(np.intp) + indices[indices == n_equal_bins] -= 1 + + # The index computation is not guaranteed to give exactly + # consistent results within ~1 ULP of the bin edges. + decrement = tmp_a < bin_edges[indices] + indices[decrement] -= 1 + # The last bin includes the right edge. The other bins do not. + increment = ((tmp_a >= bin_edges[indices + 1]) + & (indices != n_equal_bins - 1)) + indices[increment] += 1 + + # We now compute the histogram using bincount + if ntype.kind == 'c': + n.real += np.bincount(indices, weights=tmp_w.real, + minlength=n_equal_bins) + n.imag += np.bincount(indices, weights=tmp_w.imag, + minlength=n_equal_bins) + else: + n += np.bincount(indices, weights=tmp_w, + minlength=n_equal_bins).astype(ntype) + else: + # Compute via cumulative histogram + cum_n = np.zeros(bin_edges.shape, ntype) + if weights is None: + for i in _range(0, len(a), BLOCK): + sa = np.sort(a[i:i+BLOCK]) + cum_n += _search_sorted_inclusive(sa, bin_edges) + else: + zero = np.zeros(1, dtype=ntype) + for i in _range(0, len(a), BLOCK): + tmp_a = a[i:i+BLOCK] + tmp_w = weights[i:i+BLOCK] + sorting_index = np.argsort(tmp_a) + sa = tmp_a[sorting_index] + sw = tmp_w[sorting_index] + cw = np.concatenate((zero, sw.cumsum())) + bin_index = _search_sorted_inclusive(sa, bin_edges) + cum_n += cw[bin_index] + + n = np.diff(cum_n) + + if density: + db = np.array(np.diff(bin_edges), float) + return n/db/n.sum(), bin_edges + + return n, bin_edges + + +def _histogramdd_dispatcher(sample, bins=None, range=None, density=None, + weights=None): + if hasattr(sample, 'shape'): # same condition as used in histogramdd + yield sample + else: + yield from sample + with contextlib.suppress(TypeError): + yield from bins + yield weights + + +@array_function_dispatch(_histogramdd_dispatcher) +def histogramdd(sample, bins=10, range=None, density=None, weights=None): + """ + Compute the multidimensional histogram of some data. + + Parameters + ---------- + sample : (N, D) array, or (N, D) array_like + The data to be histogrammed. + + Note the unusual interpretation of sample when an array_like: + + * When an array, each row is a coordinate in a D-dimensional space - + such as ``histogramdd(np.array([p1, p2, p3]))``. + * When an array_like, each element is the list of values for single + coordinate - such as ``histogramdd((X, Y, Z))``. + + The first form should be preferred. + + bins : sequence or int, optional + The bin specification: + + * A sequence of arrays describing the monotonically increasing bin + edges along each dimension. + * The number of bins for each dimension (nx, ny, ... =bins) + * The number of bins for all dimensions (nx=ny=...=bins). + + range : sequence, optional + A sequence of length D, each an optional (lower, upper) tuple giving + the outer bin edges to be used if the edges are not given explicitly in + `bins`. + An entry of None in the sequence results in the minimum and maximum + values being used for the corresponding dimension. + The default, None, is equivalent to passing a tuple of D None values. + density : bool, optional + If False, the default, returns the number of samples in each bin. + If True, returns the probability *density* function at the bin, + ``bin_count / sample_count / bin_volume``. + weights : (N,) array_like, optional + An array of values `w_i` weighing each sample `(x_i, y_i, z_i, ...)`. + Weights are normalized to 1 if density is True. If density is False, + the values of the returned histogram are equal to the sum of the + weights belonging to the samples falling into each bin. + + Returns + ------- + H : ndarray + The multidimensional histogram of sample x. See density and weights + for the different possible semantics. + edges : list + A list of D arrays describing the bin edges for each dimension. + + See Also + -------- + histogram: 1-D histogram + histogram2d: 2-D histogram + + Examples + -------- + >>> r = np.random.randn(100,3) + >>> H, edges = np.histogramdd(r, bins = (5, 8, 4)) + >>> H.shape, edges[0].size, edges[1].size, edges[2].size + ((5, 8, 4), 6, 9, 5) + + """ + + try: + # Sample is an ND-array. + N, D = sample.shape + except (AttributeError, ValueError): + # Sample is a sequence of 1D arrays. + sample = np.atleast_2d(sample).T + N, D = sample.shape + + nbin = np.empty(D, np.intp) + edges = D*[None] + dedges = D*[None] + if weights is not None: + weights = np.asarray(weights) + + try: + M = len(bins) + if M != D: + raise ValueError( + 'The dimension of bins must be equal to the dimension of the ' + 'sample x.') + except TypeError: + # bins is an integer + bins = D*[bins] + + # normalize the range argument + if range is None: + range = (None,) * D + elif len(range) != D: + raise ValueError('range argument must have one entry per dimension') + + # Create edge arrays + for i in _range(D): + if np.ndim(bins[i]) == 0: + if bins[i] < 1: + raise ValueError( + '`bins[{}]` must be positive, when an integer'.format(i)) + smin, smax = _get_outer_edges(sample[:,i], range[i]) + try: + n = operator.index(bins[i]) + + except TypeError as e: + raise TypeError( + "`bins[{}]` must be an integer, when a scalar".format(i) + ) from e + + edges[i] = np.linspace(smin, smax, n + 1) + elif np.ndim(bins[i]) == 1: + edges[i] = np.asarray(bins[i]) + if np.any(edges[i][:-1] > edges[i][1:]): + raise ValueError( + '`bins[{}]` must be monotonically increasing, when an array' + .format(i)) + else: + raise ValueError( + '`bins[{}]` must be a scalar or 1d array'.format(i)) + + nbin[i] = len(edges[i]) + 1 # includes an outlier on each end + dedges[i] = np.diff(edges[i]) + + # Compute the bin number each sample falls into. + Ncount = tuple( + # avoid np.digitize to work around gh-11022 + np.searchsorted(edges[i], sample[:, i], side='right') + for i in _range(D) + ) + + # Using digitize, values that fall on an edge are put in the right bin. + # For the rightmost bin, we want values equal to the right edge to be + # counted in the last bin, and not as an outlier. + for i in _range(D): + # Find which points are on the rightmost edge. + on_edge = (sample[:, i] == edges[i][-1]) + # Shift these points one bin to the left. + Ncount[i][on_edge] -= 1 + + # Compute the sample indices in the flattened histogram matrix. + # This raises an error if the array is too large. + xy = np.ravel_multi_index(Ncount, nbin) + + # Compute the number of repetitions in xy and assign it to the + # flattened histmat. + hist = np.bincount(xy, weights, minlength=nbin.prod()) + + # Shape into a proper matrix + hist = hist.reshape(nbin) + + # This preserves the (bad) behavior observed in gh-7845, for now. + hist = hist.astype(float, casting='safe') + + # Remove outliers (indices 0 and -1 for each dimension). + core = D*(slice(1, -1),) + hist = hist[core] + + if density: + # calculate the probability density function + s = hist.sum() + for i in _range(D): + shape = np.ones(D, int) + shape[i] = nbin[i] - 2 + hist = hist / dedges[i].reshape(shape) + hist /= s + + if (hist.shape != nbin - 2).any(): + raise RuntimeError( + "Internal Shape Error") + return hist, edges diff --git a/lib/python3.12/site-packages/numpy/lib/histograms.pyi b/lib/python3.12/site-packages/numpy/lib/histograms.pyi new file mode 100644 index 0000000000000000000000000000000000000000..ce02718adcd5be7129dee85ffcd8d9c43ee8bc00 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/histograms.pyi @@ -0,0 +1,47 @@ +from collections.abc import Sequence +from typing import ( + Literal as L, + Any, + SupportsIndex, +) + +from numpy._typing import ( + NDArray, + ArrayLike, +) + +_BinKind = L[ + "stone", + "auto", + "doane", + "fd", + "rice", + "scott", + "sqrt", + "sturges", +] + +__all__: list[str] + +def histogram_bin_edges( + a: ArrayLike, + bins: _BinKind | SupportsIndex | ArrayLike = ..., + range: None | tuple[float, float] = ..., + weights: None | ArrayLike = ..., +) -> NDArray[Any]: ... + +def histogram( + a: ArrayLike, + bins: _BinKind | SupportsIndex | ArrayLike = ..., + range: None | tuple[float, float] = ..., + density: bool = ..., + weights: None | ArrayLike = ..., +) -> tuple[NDArray[Any], NDArray[Any]]: ... + +def histogramdd( + sample: ArrayLike, + bins: SupportsIndex | ArrayLike = ..., + range: Sequence[tuple[float, float]] = ..., + density: None | bool = ..., + weights: None | ArrayLike = ..., +) -> tuple[NDArray[Any], list[NDArray[Any]]]: ... diff --git a/lib/python3.12/site-packages/numpy/lib/index_tricks.py b/lib/python3.12/site-packages/numpy/lib/index_tricks.py new file mode 100644 index 0000000000000000000000000000000000000000..6913d2b95b76521f9f9d532b2762400e1bd68f43 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/index_tricks.py @@ -0,0 +1,1046 @@ +import functools +import sys +import math +import warnings + +import numpy as np +from .._utils import set_module +import numpy.core.numeric as _nx +from numpy.core.numeric import ScalarType, array +from numpy.core.numerictypes import issubdtype + +import numpy.matrixlib as matrixlib +from .function_base import diff +from numpy.core.multiarray import ravel_multi_index, unravel_index +from numpy.core import overrides, linspace +from numpy.lib.stride_tricks import as_strided + + +array_function_dispatch = functools.partial( + overrides.array_function_dispatch, module='numpy') + + +__all__ = [ + 'ravel_multi_index', 'unravel_index', 'mgrid', 'ogrid', 'r_', 'c_', + 's_', 'index_exp', 'ix_', 'ndenumerate', 'ndindex', 'fill_diagonal', + 'diag_indices', 'diag_indices_from' +] + + +def _ix__dispatcher(*args): + return args + + +@array_function_dispatch(_ix__dispatcher) +def ix_(*args): + """ + Construct an open mesh from multiple sequences. + + This function takes N 1-D sequences and returns N outputs with N + dimensions each, such that the shape is 1 in all but one dimension + and the dimension with the non-unit shape value cycles through all + N dimensions. + + Using `ix_` one can quickly construct index arrays that will index + the cross product. ``a[np.ix_([1,3],[2,5])]`` returns the array + ``[[a[1,2] a[1,5]], [a[3,2] a[3,5]]]``. + + Parameters + ---------- + args : 1-D sequences + Each sequence should be of integer or boolean type. + Boolean sequences will be interpreted as boolean masks for the + corresponding dimension (equivalent to passing in + ``np.nonzero(boolean_sequence)``). + + Returns + ------- + out : tuple of ndarrays + N arrays with N dimensions each, with N the number of input + sequences. Together these arrays form an open mesh. + + See Also + -------- + ogrid, mgrid, meshgrid + + Examples + -------- + >>> a = np.arange(10).reshape(2, 5) + >>> a + array([[0, 1, 2, 3, 4], + [5, 6, 7, 8, 9]]) + >>> ixgrid = np.ix_([0, 1], [2, 4]) + >>> ixgrid + (array([[0], + [1]]), array([[2, 4]])) + >>> ixgrid[0].shape, ixgrid[1].shape + ((2, 1), (1, 2)) + >>> a[ixgrid] + array([[2, 4], + [7, 9]]) + + >>> ixgrid = np.ix_([True, True], [2, 4]) + >>> a[ixgrid] + array([[2, 4], + [7, 9]]) + >>> ixgrid = np.ix_([True, True], [False, False, True, False, True]) + >>> a[ixgrid] + array([[2, 4], + [7, 9]]) + + """ + out = [] + nd = len(args) + for k, new in enumerate(args): + if not isinstance(new, _nx.ndarray): + new = np.asarray(new) + if new.size == 0: + # Explicitly type empty arrays to avoid float default + new = new.astype(_nx.intp) + if new.ndim != 1: + raise ValueError("Cross index must be 1 dimensional") + if issubdtype(new.dtype, _nx.bool_): + new, = new.nonzero() + new = new.reshape((1,)*k + (new.size,) + (1,)*(nd-k-1)) + out.append(new) + return tuple(out) + + +class nd_grid: + """ + Construct a multi-dimensional "meshgrid". + + ``grid = nd_grid()`` creates an instance which will return a mesh-grid + when indexed. The dimension and number of the output arrays are equal + to the number of indexing dimensions. If the step length is not a + complex number, then the stop is not inclusive. + + However, if the step length is a **complex number** (e.g. 5j), then the + integer part of its magnitude is interpreted as specifying the + number of points to create between the start and stop values, where + the stop value **is inclusive**. + + If instantiated with an argument of ``sparse=True``, the mesh-grid is + open (or not fleshed out) so that only one-dimension of each returned + argument is greater than 1. + + Parameters + ---------- + sparse : bool, optional + Whether the grid is sparse or not. Default is False. + + Notes + ----- + Two instances of `nd_grid` are made available in the NumPy namespace, + `mgrid` and `ogrid`, approximately defined as:: + + mgrid = nd_grid(sparse=False) + ogrid = nd_grid(sparse=True) + + Users should use these pre-defined instances instead of using `nd_grid` + directly. + """ + + def __init__(self, sparse=False): + self.sparse = sparse + + def __getitem__(self, key): + try: + size = [] + # Mimic the behavior of `np.arange` and use a data type + # which is at least as large as `np.int_` + num_list = [0] + for k in range(len(key)): + step = key[k].step + start = key[k].start + stop = key[k].stop + if start is None: + start = 0 + if step is None: + step = 1 + if isinstance(step, (_nx.complexfloating, complex)): + step = abs(step) + size.append(int(step)) + else: + size.append( + int(math.ceil((stop - start) / (step*1.0)))) + num_list += [start, stop, step] + typ = _nx.result_type(*num_list) + if self.sparse: + nn = [_nx.arange(_x, dtype=_t) + for _x, _t in zip(size, (typ,)*len(size))] + else: + nn = _nx.indices(size, typ) + for k, kk in enumerate(key): + step = kk.step + start = kk.start + if start is None: + start = 0 + if step is None: + step = 1 + if isinstance(step, (_nx.complexfloating, complex)): + step = int(abs(step)) + if step != 1: + step = (kk.stop - start) / float(step - 1) + nn[k] = (nn[k]*step+start) + if self.sparse: + slobj = [_nx.newaxis]*len(size) + for k in range(len(size)): + slobj[k] = slice(None, None) + nn[k] = nn[k][tuple(slobj)] + slobj[k] = _nx.newaxis + return nn + except (IndexError, TypeError): + step = key.step + stop = key.stop + start = key.start + if start is None: + start = 0 + if isinstance(step, (_nx.complexfloating, complex)): + # Prevent the (potential) creation of integer arrays + step_float = abs(step) + step = length = int(step_float) + if step != 1: + step = (key.stop-start)/float(step-1) + typ = _nx.result_type(start, stop, step_float) + return _nx.arange(0, length, 1, dtype=typ)*step + start + else: + return _nx.arange(start, stop, step) + + +class MGridClass(nd_grid): + """ + An instance which returns a dense multi-dimensional "meshgrid". + + An instance which returns a dense (or fleshed out) mesh-grid + when indexed, so that each returned argument has the same shape. + The dimensions and number of the output arrays are equal to the + number of indexing dimensions. If the step length is not a complex + number, then the stop is not inclusive. + + However, if the step length is a **complex number** (e.g. 5j), then + the integer part of its magnitude is interpreted as specifying the + number of points to create between the start and stop values, where + the stop value **is inclusive**. + + Returns + ------- + mesh-grid `ndarrays` all of the same dimensions + + See Also + -------- + ogrid : like `mgrid` but returns open (not fleshed out) mesh grids + meshgrid: return coordinate matrices from coordinate vectors + r_ : array concatenator + :ref:`how-to-partition` + + Examples + -------- + >>> np.mgrid[0:5, 0:5] + array([[[0, 0, 0, 0, 0], + [1, 1, 1, 1, 1], + [2, 2, 2, 2, 2], + [3, 3, 3, 3, 3], + [4, 4, 4, 4, 4]], + [[0, 1, 2, 3, 4], + [0, 1, 2, 3, 4], + [0, 1, 2, 3, 4], + [0, 1, 2, 3, 4], + [0, 1, 2, 3, 4]]]) + >>> np.mgrid[-1:1:5j] + array([-1. , -0.5, 0. , 0.5, 1. ]) + + """ + + def __init__(self): + super().__init__(sparse=False) + + +mgrid = MGridClass() + + +class OGridClass(nd_grid): + """ + An instance which returns an open multi-dimensional "meshgrid". + + An instance which returns an open (i.e. not fleshed out) mesh-grid + when indexed, so that only one dimension of each returned array is + greater than 1. The dimension and number of the output arrays are + equal to the number of indexing dimensions. If the step length is + not a complex number, then the stop is not inclusive. + + However, if the step length is a **complex number** (e.g. 5j), then + the integer part of its magnitude is interpreted as specifying the + number of points to create between the start and stop values, where + the stop value **is inclusive**. + + Returns + ------- + mesh-grid + `ndarrays` with only one dimension not equal to 1 + + See Also + -------- + mgrid : like `ogrid` but returns dense (or fleshed out) mesh grids + meshgrid: return coordinate matrices from coordinate vectors + r_ : array concatenator + :ref:`how-to-partition` + + Examples + -------- + >>> from numpy import ogrid + >>> ogrid[-1:1:5j] + array([-1. , -0.5, 0. , 0.5, 1. ]) + >>> ogrid[0:5,0:5] + [array([[0], + [1], + [2], + [3], + [4]]), array([[0, 1, 2, 3, 4]])] + + """ + + def __init__(self): + super().__init__(sparse=True) + + +ogrid = OGridClass() + + +class AxisConcatenator: + """ + Translates slice objects to concatenation along an axis. + + For detailed documentation on usage, see `r_`. + """ + # allow ma.mr_ to override this + concatenate = staticmethod(_nx.concatenate) + makemat = staticmethod(matrixlib.matrix) + + def __init__(self, axis=0, matrix=False, ndmin=1, trans1d=-1): + self.axis = axis + self.matrix = matrix + self.trans1d = trans1d + self.ndmin = ndmin + + def __getitem__(self, key): + # handle matrix builder syntax + if isinstance(key, str): + frame = sys._getframe().f_back + mymat = matrixlib.bmat(key, frame.f_globals, frame.f_locals) + return mymat + + if not isinstance(key, tuple): + key = (key,) + + # copy attributes, since they can be overridden in the first argument + trans1d = self.trans1d + ndmin = self.ndmin + matrix = self.matrix + axis = self.axis + + objs = [] + # dtypes or scalars for weak scalar handling in result_type + result_type_objs = [] + + for k, item in enumerate(key): + scalar = False + if isinstance(item, slice): + step = item.step + start = item.start + stop = item.stop + if start is None: + start = 0 + if step is None: + step = 1 + if isinstance(step, (_nx.complexfloating, complex)): + size = int(abs(step)) + newobj = linspace(start, stop, num=size) + else: + newobj = _nx.arange(start, stop, step) + if ndmin > 1: + newobj = array(newobj, copy=False, ndmin=ndmin) + if trans1d != -1: + newobj = newobj.swapaxes(-1, trans1d) + elif isinstance(item, str): + if k != 0: + raise ValueError("special directives must be the " + "first entry.") + if item in ('r', 'c'): + matrix = True + col = (item == 'c') + continue + if ',' in item: + vec = item.split(',') + try: + axis, ndmin = [int(x) for x in vec[:2]] + if len(vec) == 3: + trans1d = int(vec[2]) + continue + except Exception as e: + raise ValueError( + "unknown special directive {!r}".format(item) + ) from e + try: + axis = int(item) + continue + except (ValueError, TypeError) as e: + raise ValueError("unknown special directive") from e + elif type(item) in ScalarType: + scalar = True + newobj = item + else: + item_ndim = np.ndim(item) + newobj = array(item, copy=False, subok=True, ndmin=ndmin) + if trans1d != -1 and item_ndim < ndmin: + k2 = ndmin - item_ndim + k1 = trans1d + if k1 < 0: + k1 += k2 + 1 + defaxes = list(range(ndmin)) + axes = defaxes[:k1] + defaxes[k2:] + defaxes[k1:k2] + newobj = newobj.transpose(axes) + + objs.append(newobj) + if scalar: + result_type_objs.append(item) + else: + result_type_objs.append(newobj.dtype) + + # Ensure that scalars won't up-cast unless warranted, for 0, drops + # through to error in concatenate. + if len(result_type_objs) != 0: + final_dtype = _nx.result_type(*result_type_objs) + # concatenate could do cast, but that can be overriden: + objs = [array(obj, copy=False, subok=True, + ndmin=ndmin, dtype=final_dtype) for obj in objs] + + res = self.concatenate(tuple(objs), axis=axis) + + if matrix: + oldndim = res.ndim + res = self.makemat(res) + if oldndim == 1 and col: + res = res.T + return res + + def __len__(self): + return 0 + +# separate classes are used here instead of just making r_ = concatentor(0), +# etc. because otherwise we couldn't get the doc string to come out right +# in help(r_) + + +class RClass(AxisConcatenator): + """ + Translates slice objects to concatenation along the first axis. + + This is a simple way to build up arrays quickly. There are two use cases. + + 1. If the index expression contains comma separated arrays, then stack + them along their first axis. + 2. If the index expression contains slice notation or scalars then create + a 1-D array with a range indicated by the slice notation. + + If slice notation is used, the syntax ``start:stop:step`` is equivalent + to ``np.arange(start, stop, step)`` inside of the brackets. However, if + ``step`` is an imaginary number (i.e. 100j) then its integer portion is + interpreted as a number-of-points desired and the start and stop are + inclusive. In other words ``start:stop:stepj`` is interpreted as + ``np.linspace(start, stop, step, endpoint=1)`` inside of the brackets. + After expansion of slice notation, all comma separated sequences are + concatenated together. + + Optional character strings placed as the first element of the index + expression can be used to change the output. The strings 'r' or 'c' result + in matrix output. If the result is 1-D and 'r' is specified a 1 x N (row) + matrix is produced. If the result is 1-D and 'c' is specified, then a N x 1 + (column) matrix is produced. If the result is 2-D then both provide the + same matrix result. + + A string integer specifies which axis to stack multiple comma separated + arrays along. A string of two comma-separated integers allows indication + of the minimum number of dimensions to force each entry into as the + second integer (the axis to concatenate along is still the first integer). + + A string with three comma-separated integers allows specification of the + axis to concatenate along, the minimum number of dimensions to force the + entries to, and which axis should contain the start of the arrays which + are less than the specified number of dimensions. In other words the third + integer allows you to specify where the 1's should be placed in the shape + of the arrays that have their shapes upgraded. By default, they are placed + in the front of the shape tuple. The third argument allows you to specify + where the start of the array should be instead. Thus, a third argument of + '0' would place the 1's at the end of the array shape. Negative integers + specify where in the new shape tuple the last dimension of upgraded arrays + should be placed, so the default is '-1'. + + Parameters + ---------- + Not a function, so takes no parameters + + + Returns + ------- + A concatenated ndarray or matrix. + + See Also + -------- + concatenate : Join a sequence of arrays along an existing axis. + c_ : Translates slice objects to concatenation along the second axis. + + Examples + -------- + >>> np.r_[np.array([1,2,3]), 0, 0, np.array([4,5,6])] + array([1, 2, 3, ..., 4, 5, 6]) + >>> np.r_[-1:1:6j, [0]*3, 5, 6] + array([-1. , -0.6, -0.2, 0.2, 0.6, 1. , 0. , 0. , 0. , 5. , 6. ]) + + String integers specify the axis to concatenate along or the minimum + number of dimensions to force entries into. + + >>> a = np.array([[0, 1, 2], [3, 4, 5]]) + >>> np.r_['-1', a, a] # concatenate along last axis + array([[0, 1, 2, 0, 1, 2], + [3, 4, 5, 3, 4, 5]]) + >>> np.r_['0,2', [1,2,3], [4,5,6]] # concatenate along first axis, dim>=2 + array([[1, 2, 3], + [4, 5, 6]]) + + >>> np.r_['0,2,0', [1,2,3], [4,5,6]] + array([[1], + [2], + [3], + [4], + [5], + [6]]) + >>> np.r_['1,2,0', [1,2,3], [4,5,6]] + array([[1, 4], + [2, 5], + [3, 6]]) + + Using 'r' or 'c' as a first string argument creates a matrix. + + >>> np.r_['r',[1,2,3], [4,5,6]] + matrix([[1, 2, 3, 4, 5, 6]]) + + """ + + def __init__(self): + AxisConcatenator.__init__(self, 0) + + +r_ = RClass() + + +class CClass(AxisConcatenator): + """ + Translates slice objects to concatenation along the second axis. + + This is short-hand for ``np.r_['-1,2,0', index expression]``, which is + useful because of its common occurrence. In particular, arrays will be + stacked along their last axis after being upgraded to at least 2-D with + 1's post-pended to the shape (column vectors made out of 1-D arrays). + + See Also + -------- + column_stack : Stack 1-D arrays as columns into a 2-D array. + r_ : For more detailed documentation. + + Examples + -------- + >>> np.c_[np.array([1,2,3]), np.array([4,5,6])] + array([[1, 4], + [2, 5], + [3, 6]]) + >>> np.c_[np.array([[1,2,3]]), 0, 0, np.array([[4,5,6]])] + array([[1, 2, 3, ..., 4, 5, 6]]) + + """ + + def __init__(self): + AxisConcatenator.__init__(self, -1, ndmin=2, trans1d=0) + + +c_ = CClass() + + +@set_module('numpy') +class ndenumerate: + """ + Multidimensional index iterator. + + Return an iterator yielding pairs of array coordinates and values. + + Parameters + ---------- + arr : ndarray + Input array. + + See Also + -------- + ndindex, flatiter + + Examples + -------- + >>> a = np.array([[1, 2], [3, 4]]) + >>> for index, x in np.ndenumerate(a): + ... print(index, x) + (0, 0) 1 + (0, 1) 2 + (1, 0) 3 + (1, 1) 4 + + """ + + def __init__(self, arr): + self.iter = np.asarray(arr).flat + + def __next__(self): + """ + Standard iterator method, returns the index tuple and array value. + + Returns + ------- + coords : tuple of ints + The indices of the current iteration. + val : scalar + The array element of the current iteration. + + """ + return self.iter.coords, next(self.iter) + + def __iter__(self): + return self + + +@set_module('numpy') +class ndindex: + """ + An N-dimensional iterator object to index arrays. + + Given the shape of an array, an `ndindex` instance iterates over + the N-dimensional index of the array. At each iteration a tuple + of indices is returned, the last dimension is iterated over first. + + Parameters + ---------- + shape : ints, or a single tuple of ints + The size of each dimension of the array can be passed as + individual parameters or as the elements of a tuple. + + See Also + -------- + ndenumerate, flatiter + + Examples + -------- + Dimensions as individual arguments + + >>> for index in np.ndindex(3, 2, 1): + ... print(index) + (0, 0, 0) + (0, 1, 0) + (1, 0, 0) + (1, 1, 0) + (2, 0, 0) + (2, 1, 0) + + Same dimensions - but in a tuple ``(3, 2, 1)`` + + >>> for index in np.ndindex((3, 2, 1)): + ... print(index) + (0, 0, 0) + (0, 1, 0) + (1, 0, 0) + (1, 1, 0) + (2, 0, 0) + (2, 1, 0) + + """ + + def __init__(self, *shape): + if len(shape) == 1 and isinstance(shape[0], tuple): + shape = shape[0] + x = as_strided(_nx.zeros(1), shape=shape, + strides=_nx.zeros_like(shape)) + self._it = _nx.nditer(x, flags=['multi_index', 'zerosize_ok'], + order='C') + + def __iter__(self): + return self + + def ndincr(self): + """ + Increment the multi-dimensional index by one. + + This method is for backward compatibility only: do not use. + + .. deprecated:: 1.20.0 + This method has been advised against since numpy 1.8.0, but only + started emitting DeprecationWarning as of this version. + """ + # NumPy 1.20.0, 2020-09-08 + warnings.warn( + "`ndindex.ndincr()` is deprecated, use `next(ndindex)` instead", + DeprecationWarning, stacklevel=2) + next(self) + + def __next__(self): + """ + Standard iterator method, updates the index and returns the index + tuple. + + Returns + ------- + val : tuple of ints + Returns a tuple containing the indices of the current + iteration. + + """ + next(self._it) + return self._it.multi_index + + +# You can do all this with slice() plus a few special objects, +# but there's a lot to remember. This version is simpler because +# it uses the standard array indexing syntax. +# +# Written by Konrad Hinsen +# last revision: 1999-7-23 +# +# Cosmetic changes by T. Oliphant 2001 +# +# + +class IndexExpression: + """ + A nicer way to build up index tuples for arrays. + + .. note:: + Use one of the two predefined instances `index_exp` or `s_` + rather than directly using `IndexExpression`. + + For any index combination, including slicing and axis insertion, + ``a[indices]`` is the same as ``a[np.index_exp[indices]]`` for any + array `a`. However, ``np.index_exp[indices]`` can be used anywhere + in Python code and returns a tuple of slice objects that can be + used in the construction of complex index expressions. + + Parameters + ---------- + maketuple : bool + If True, always returns a tuple. + + See Also + -------- + index_exp : Predefined instance that always returns a tuple: + `index_exp = IndexExpression(maketuple=True)`. + s_ : Predefined instance without tuple conversion: + `s_ = IndexExpression(maketuple=False)`. + + Notes + ----- + You can do all this with `slice()` plus a few special objects, + but there's a lot to remember and this version is simpler because + it uses the standard array indexing syntax. + + Examples + -------- + >>> np.s_[2::2] + slice(2, None, 2) + >>> np.index_exp[2::2] + (slice(2, None, 2),) + + >>> np.array([0, 1, 2, 3, 4])[np.s_[2::2]] + array([2, 4]) + + """ + + def __init__(self, maketuple): + self.maketuple = maketuple + + def __getitem__(self, item): + if self.maketuple and not isinstance(item, tuple): + return (item,) + else: + return item + + +index_exp = IndexExpression(maketuple=True) +s_ = IndexExpression(maketuple=False) + +# End contribution from Konrad. + + +# The following functions complement those in twodim_base, but are +# applicable to N-dimensions. + + +def _fill_diagonal_dispatcher(a, val, wrap=None): + return (a,) + + +@array_function_dispatch(_fill_diagonal_dispatcher) +def fill_diagonal(a, val, wrap=False): + """Fill the main diagonal of the given array of any dimensionality. + + For an array `a` with ``a.ndim >= 2``, the diagonal is the list of + locations with indices ``a[i, ..., i]`` all identical. This function + modifies the input array in-place, it does not return a value. + + Parameters + ---------- + a : array, at least 2-D. + Array whose diagonal is to be filled, it gets modified in-place. + + val : scalar or array_like + Value(s) to write on the diagonal. If `val` is scalar, the value is + written along the diagonal. If array-like, the flattened `val` is + written along the diagonal, repeating if necessary to fill all + diagonal entries. + + wrap : bool + For tall matrices in NumPy version up to 1.6.2, the + diagonal "wrapped" after N columns. You can have this behavior + with this option. This affects only tall matrices. + + See also + -------- + diag_indices, diag_indices_from + + Notes + ----- + .. versionadded:: 1.4.0 + + This functionality can be obtained via `diag_indices`, but internally + this version uses a much faster implementation that never constructs the + indices and uses simple slicing. + + Examples + -------- + >>> a = np.zeros((3, 3), int) + >>> np.fill_diagonal(a, 5) + >>> a + array([[5, 0, 0], + [0, 5, 0], + [0, 0, 5]]) + + The same function can operate on a 4-D array: + + >>> a = np.zeros((3, 3, 3, 3), int) + >>> np.fill_diagonal(a, 4) + + We only show a few blocks for clarity: + + >>> a[0, 0] + array([[4, 0, 0], + [0, 0, 0], + [0, 0, 0]]) + >>> a[1, 1] + array([[0, 0, 0], + [0, 4, 0], + [0, 0, 0]]) + >>> a[2, 2] + array([[0, 0, 0], + [0, 0, 0], + [0, 0, 4]]) + + The wrap option affects only tall matrices: + + >>> # tall matrices no wrap + >>> a = np.zeros((5, 3), int) + >>> np.fill_diagonal(a, 4) + >>> a + array([[4, 0, 0], + [0, 4, 0], + [0, 0, 4], + [0, 0, 0], + [0, 0, 0]]) + + >>> # tall matrices wrap + >>> a = np.zeros((5, 3), int) + >>> np.fill_diagonal(a, 4, wrap=True) + >>> a + array([[4, 0, 0], + [0, 4, 0], + [0, 0, 4], + [0, 0, 0], + [4, 0, 0]]) + + >>> # wide matrices + >>> a = np.zeros((3, 5), int) + >>> np.fill_diagonal(a, 4, wrap=True) + >>> a + array([[4, 0, 0, 0, 0], + [0, 4, 0, 0, 0], + [0, 0, 4, 0, 0]]) + + The anti-diagonal can be filled by reversing the order of elements + using either `numpy.flipud` or `numpy.fliplr`. + + >>> a = np.zeros((3, 3), int); + >>> np.fill_diagonal(np.fliplr(a), [1,2,3]) # Horizontal flip + >>> a + array([[0, 0, 1], + [0, 2, 0], + [3, 0, 0]]) + >>> np.fill_diagonal(np.flipud(a), [1,2,3]) # Vertical flip + >>> a + array([[0, 0, 3], + [0, 2, 0], + [1, 0, 0]]) + + Note that the order in which the diagonal is filled varies depending + on the flip function. + """ + if a.ndim < 2: + raise ValueError("array must be at least 2-d") + end = None + if a.ndim == 2: + # Explicit, fast formula for the common case. For 2-d arrays, we + # accept rectangular ones. + step = a.shape[1] + 1 + # This is needed to don't have tall matrix have the diagonal wrap. + if not wrap: + end = a.shape[1] * a.shape[1] + else: + # For more than d=2, the strided formula is only valid for arrays with + # all dimensions equal, so we check first. + if not np.all(diff(a.shape) == 0): + raise ValueError("All dimensions of input must be of equal length") + step = 1 + (np.cumprod(a.shape[:-1])).sum() + + # Write the value out into the diagonal. + a.flat[:end:step] = val + + +@set_module('numpy') +def diag_indices(n, ndim=2): + """ + Return the indices to access the main diagonal of an array. + + This returns a tuple of indices that can be used to access the main + diagonal of an array `a` with ``a.ndim >= 2`` dimensions and shape + (n, n, ..., n). For ``a.ndim = 2`` this is the usual diagonal, for + ``a.ndim > 2`` this is the set of indices to access ``a[i, i, ..., i]`` + for ``i = [0..n-1]``. + + Parameters + ---------- + n : int + The size, along each dimension, of the arrays for which the returned + indices can be used. + + ndim : int, optional + The number of dimensions. + + See Also + -------- + diag_indices_from + + Notes + ----- + .. versionadded:: 1.4.0 + + Examples + -------- + Create a set of indices to access the diagonal of a (4, 4) array: + + >>> di = np.diag_indices(4) + >>> di + (array([0, 1, 2, 3]), array([0, 1, 2, 3])) + >>> a = np.arange(16).reshape(4, 4) + >>> a + array([[ 0, 1, 2, 3], + [ 4, 5, 6, 7], + [ 8, 9, 10, 11], + [12, 13, 14, 15]]) + >>> a[di] = 100 + >>> a + array([[100, 1, 2, 3], + [ 4, 100, 6, 7], + [ 8, 9, 100, 11], + [ 12, 13, 14, 100]]) + + Now, we create indices to manipulate a 3-D array: + + >>> d3 = np.diag_indices(2, 3) + >>> d3 + (array([0, 1]), array([0, 1]), array([0, 1])) + + And use it to set the diagonal of an array of zeros to 1: + + >>> a = np.zeros((2, 2, 2), dtype=int) + >>> a[d3] = 1 + >>> a + array([[[1, 0], + [0, 0]], + [[0, 0], + [0, 1]]]) + + """ + idx = np.arange(n) + return (idx,) * ndim + + +def _diag_indices_from(arr): + return (arr,) + + +@array_function_dispatch(_diag_indices_from) +def diag_indices_from(arr): + """ + Return the indices to access the main diagonal of an n-dimensional array. + + See `diag_indices` for full details. + + Parameters + ---------- + arr : array, at least 2-D + + See Also + -------- + diag_indices + + Notes + ----- + .. versionadded:: 1.4.0 + + Examples + -------- + + Create a 4 by 4 array. + + >>> a = np.arange(16).reshape(4, 4) + >>> a + array([[ 0, 1, 2, 3], + [ 4, 5, 6, 7], + [ 8, 9, 10, 11], + [12, 13, 14, 15]]) + + Get the indices of the diagonal elements. + + >>> di = np.diag_indices_from(a) + >>> di + (array([0, 1, 2, 3]), array([0, 1, 2, 3])) + + >>> a[di] + array([ 0, 5, 10, 15]) + + This is simply syntactic sugar for diag_indices. + + >>> np.diag_indices(a.shape[0]) + (array([0, 1, 2, 3]), array([0, 1, 2, 3])) + + """ + + if not arr.ndim >= 2: + raise ValueError("input array must be at least 2-d") + # For more than d=2, the strided formula is only valid for arrays with + # all dimensions equal, so we check first. + if not np.all(diff(arr.shape) == 0): + raise ValueError("All dimensions of input must be of equal length") + + return diag_indices(arr.shape[0], arr.ndim) diff --git a/lib/python3.12/site-packages/numpy/lib/index_tricks.pyi b/lib/python3.12/site-packages/numpy/lib/index_tricks.pyi new file mode 100644 index 0000000000000000000000000000000000000000..29a6b9e2b9f95c260b5123cef75c9a1d0b34833b --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/index_tricks.pyi @@ -0,0 +1,162 @@ +from collections.abc import Sequence +from typing import ( + Any, + TypeVar, + Generic, + overload, + Literal, + SupportsIndex, +) + +from numpy import ( + # Circumvent a naming conflict with `AxisConcatenator.matrix` + matrix as _Matrix, + ndenumerate as ndenumerate, + ndindex as ndindex, + ndarray, + dtype, + integer, + str_, + bytes_, + bool_, + int_, + float_, + complex_, + intp, + _OrderCF, + _ModeKind, +) +from numpy._typing import ( + # Arrays + ArrayLike, + _NestedSequence, + _FiniteNestedSequence, + NDArray, + _ArrayLikeInt, + + # DTypes + DTypeLike, + _SupportsDType, + + # Shapes + _ShapeLike, +) + +from numpy.core.multiarray import ( + unravel_index as unravel_index, + ravel_multi_index as ravel_multi_index, +) + +_T = TypeVar("_T") +_DType = TypeVar("_DType", bound=dtype[Any]) +_BoolType = TypeVar("_BoolType", Literal[True], Literal[False]) +_TupType = TypeVar("_TupType", bound=tuple[Any, ...]) +_ArrayType = TypeVar("_ArrayType", bound=ndarray[Any, Any]) + +__all__: list[str] + +@overload +def ix_(*args: _FiniteNestedSequence[_SupportsDType[_DType]]) -> tuple[ndarray[Any, _DType], ...]: ... +@overload +def ix_(*args: str | _NestedSequence[str]) -> tuple[NDArray[str_], ...]: ... +@overload +def ix_(*args: bytes | _NestedSequence[bytes]) -> tuple[NDArray[bytes_], ...]: ... +@overload +def ix_(*args: bool | _NestedSequence[bool]) -> tuple[NDArray[bool_], ...]: ... +@overload +def ix_(*args: int | _NestedSequence[int]) -> tuple[NDArray[int_], ...]: ... +@overload +def ix_(*args: float | _NestedSequence[float]) -> tuple[NDArray[float_], ...]: ... +@overload +def ix_(*args: complex | _NestedSequence[complex]) -> tuple[NDArray[complex_], ...]: ... + +class nd_grid(Generic[_BoolType]): + sparse: _BoolType + def __init__(self, sparse: _BoolType = ...) -> None: ... + @overload + def __getitem__( + self: nd_grid[Literal[False]], + key: slice | Sequence[slice], + ) -> NDArray[Any]: ... + @overload + def __getitem__( + self: nd_grid[Literal[True]], + key: slice | Sequence[slice], + ) -> list[NDArray[Any]]: ... + +class MGridClass(nd_grid[Literal[False]]): + def __init__(self) -> None: ... + +mgrid: MGridClass + +class OGridClass(nd_grid[Literal[True]]): + def __init__(self) -> None: ... + +ogrid: OGridClass + +class AxisConcatenator: + axis: int + matrix: bool + ndmin: int + trans1d: int + def __init__( + self, + axis: int = ..., + matrix: bool = ..., + ndmin: int = ..., + trans1d: int = ..., + ) -> None: ... + @staticmethod + @overload + def concatenate( # type: ignore[misc] + *a: ArrayLike, axis: SupportsIndex = ..., out: None = ... + ) -> NDArray[Any]: ... + @staticmethod + @overload + def concatenate( + *a: ArrayLike, axis: SupportsIndex = ..., out: _ArrayType = ... + ) -> _ArrayType: ... + @staticmethod + def makemat( + data: ArrayLike, dtype: DTypeLike = ..., copy: bool = ... + ) -> _Matrix[Any, Any]: ... + + # TODO: Sort out this `__getitem__` method + def __getitem__(self, key: Any) -> Any: ... + +class RClass(AxisConcatenator): + axis: Literal[0] + matrix: Literal[False] + ndmin: Literal[1] + trans1d: Literal[-1] + def __init__(self) -> None: ... + +r_: RClass + +class CClass(AxisConcatenator): + axis: Literal[-1] + matrix: Literal[False] + ndmin: Literal[2] + trans1d: Literal[0] + def __init__(self) -> None: ... + +c_: CClass + +class IndexExpression(Generic[_BoolType]): + maketuple: _BoolType + def __init__(self, maketuple: _BoolType) -> None: ... + @overload + def __getitem__(self, item: _TupType) -> _TupType: ... # type: ignore[misc] + @overload + def __getitem__(self: IndexExpression[Literal[True]], item: _T) -> tuple[_T]: ... + @overload + def __getitem__(self: IndexExpression[Literal[False]], item: _T) -> _T: ... + +index_exp: IndexExpression[Literal[True]] +s_: IndexExpression[Literal[False]] + +def fill_diagonal(a: ndarray[Any, Any], val: Any, wrap: bool = ...) -> None: ... +def diag_indices(n: int, ndim: int = ...) -> tuple[NDArray[int_], ...]: ... +def diag_indices_from(arr: ArrayLike) -> tuple[NDArray[int_], ...]: ... + +# NOTE: see `numpy/__init__.pyi` for `ndenumerate` and `ndindex` diff --git a/lib/python3.12/site-packages/numpy/lib/mixins.py b/lib/python3.12/site-packages/numpy/lib/mixins.py new file mode 100644 index 0000000000000000000000000000000000000000..117cc785187be45e8597af48d26f723eb0024d23 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/mixins.py @@ -0,0 +1,177 @@ +"""Mixin classes for custom array types that don't inherit from ndarray.""" +from numpy.core import umath as um + + +__all__ = ['NDArrayOperatorsMixin'] + + +def _disables_array_ufunc(obj): + """True when __array_ufunc__ is set to None.""" + try: + return obj.__array_ufunc__ is None + except AttributeError: + return False + + +def _binary_method(ufunc, name): + """Implement a forward binary method with a ufunc, e.g., __add__.""" + def func(self, other): + if _disables_array_ufunc(other): + return NotImplemented + return ufunc(self, other) + func.__name__ = '__{}__'.format(name) + return func + + +def _reflected_binary_method(ufunc, name): + """Implement a reflected binary method with a ufunc, e.g., __radd__.""" + def func(self, other): + if _disables_array_ufunc(other): + return NotImplemented + return ufunc(other, self) + func.__name__ = '__r{}__'.format(name) + return func + + +def _inplace_binary_method(ufunc, name): + """Implement an in-place binary method with a ufunc, e.g., __iadd__.""" + def func(self, other): + return ufunc(self, other, out=(self,)) + func.__name__ = '__i{}__'.format(name) + return func + + +def _numeric_methods(ufunc, name): + """Implement forward, reflected and inplace binary methods with a ufunc.""" + return (_binary_method(ufunc, name), + _reflected_binary_method(ufunc, name), + _inplace_binary_method(ufunc, name)) + + +def _unary_method(ufunc, name): + """Implement a unary special method with a ufunc.""" + def func(self): + return ufunc(self) + func.__name__ = '__{}__'.format(name) + return func + + +class NDArrayOperatorsMixin: + """Mixin defining all operator special methods using __array_ufunc__. + + This class implements the special methods for almost all of Python's + builtin operators defined in the `operator` module, including comparisons + (``==``, ``>``, etc.) and arithmetic (``+``, ``*``, ``-``, etc.), by + deferring to the ``__array_ufunc__`` method, which subclasses must + implement. + + It is useful for writing classes that do not inherit from `numpy.ndarray`, + but that should support arithmetic and numpy universal functions like + arrays as described in `A Mechanism for Overriding Ufuncs + `_. + + As an trivial example, consider this implementation of an ``ArrayLike`` + class that simply wraps a NumPy array and ensures that the result of any + arithmetic operation is also an ``ArrayLike`` object:: + + class ArrayLike(np.lib.mixins.NDArrayOperatorsMixin): + def __init__(self, value): + self.value = np.asarray(value) + + # One might also consider adding the built-in list type to this + # list, to support operations like np.add(array_like, list) + _HANDLED_TYPES = (np.ndarray, numbers.Number) + + def __array_ufunc__(self, ufunc, method, *inputs, **kwargs): + out = kwargs.get('out', ()) + for x in inputs + out: + # Only support operations with instances of _HANDLED_TYPES. + # Use ArrayLike instead of type(self) for isinstance to + # allow subclasses that don't override __array_ufunc__ to + # handle ArrayLike objects. + if not isinstance(x, self._HANDLED_TYPES + (ArrayLike,)): + return NotImplemented + + # Defer to the implementation of the ufunc on unwrapped values. + inputs = tuple(x.value if isinstance(x, ArrayLike) else x + for x in inputs) + if out: + kwargs['out'] = tuple( + x.value if isinstance(x, ArrayLike) else x + for x in out) + result = getattr(ufunc, method)(*inputs, **kwargs) + + if type(result) is tuple: + # multiple return values + return tuple(type(self)(x) for x in result) + elif method == 'at': + # no return value + return None + else: + # one return value + return type(self)(result) + + def __repr__(self): + return '%s(%r)' % (type(self).__name__, self.value) + + In interactions between ``ArrayLike`` objects and numbers or numpy arrays, + the result is always another ``ArrayLike``: + + >>> x = ArrayLike([1, 2, 3]) + >>> x - 1 + ArrayLike(array([0, 1, 2])) + >>> 1 - x + ArrayLike(array([ 0, -1, -2])) + >>> np.arange(3) - x + ArrayLike(array([-1, -1, -1])) + >>> x - np.arange(3) + ArrayLike(array([1, 1, 1])) + + Note that unlike ``numpy.ndarray``, ``ArrayLike`` does not allow operations + with arbitrary, unrecognized types. This ensures that interactions with + ArrayLike preserve a well-defined casting hierarchy. + + .. versionadded:: 1.13 + """ + __slots__ = () + # Like np.ndarray, this mixin class implements "Option 1" from the ufunc + # overrides NEP. + + # comparisons don't have reflected and in-place versions + __lt__ = _binary_method(um.less, 'lt') + __le__ = _binary_method(um.less_equal, 'le') + __eq__ = _binary_method(um.equal, 'eq') + __ne__ = _binary_method(um.not_equal, 'ne') + __gt__ = _binary_method(um.greater, 'gt') + __ge__ = _binary_method(um.greater_equal, 'ge') + + # numeric methods + __add__, __radd__, __iadd__ = _numeric_methods(um.add, 'add') + __sub__, __rsub__, __isub__ = _numeric_methods(um.subtract, 'sub') + __mul__, __rmul__, __imul__ = _numeric_methods(um.multiply, 'mul') + __matmul__, __rmatmul__, __imatmul__ = _numeric_methods( + um.matmul, 'matmul') + # Python 3 does not use __div__, __rdiv__, or __idiv__ + __truediv__, __rtruediv__, __itruediv__ = _numeric_methods( + um.true_divide, 'truediv') + __floordiv__, __rfloordiv__, __ifloordiv__ = _numeric_methods( + um.floor_divide, 'floordiv') + __mod__, __rmod__, __imod__ = _numeric_methods(um.remainder, 'mod') + __divmod__ = _binary_method(um.divmod, 'divmod') + __rdivmod__ = _reflected_binary_method(um.divmod, 'divmod') + # __idivmod__ does not exist + # TODO: handle the optional third argument for __pow__? + __pow__, __rpow__, __ipow__ = _numeric_methods(um.power, 'pow') + __lshift__, __rlshift__, __ilshift__ = _numeric_methods( + um.left_shift, 'lshift') + __rshift__, __rrshift__, __irshift__ = _numeric_methods( + um.right_shift, 'rshift') + __and__, __rand__, __iand__ = _numeric_methods(um.bitwise_and, 'and') + __xor__, __rxor__, __ixor__ = _numeric_methods(um.bitwise_xor, 'xor') + __or__, __ror__, __ior__ = _numeric_methods(um.bitwise_or, 'or') + + # unary methods + __neg__ = _unary_method(um.negative, 'neg') + __pos__ = _unary_method(um.positive, 'pos') + __abs__ = _unary_method(um.absolute, 'abs') + __invert__ = _unary_method(um.invert, 'invert') diff --git a/lib/python3.12/site-packages/numpy/lib/mixins.pyi b/lib/python3.12/site-packages/numpy/lib/mixins.pyi new file mode 100644 index 0000000000000000000000000000000000000000..c5744213372cf746fcba3a3b711b49730629e28c --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/mixins.pyi @@ -0,0 +1,74 @@ +from abc import ABCMeta, abstractmethod +from typing import Literal as L, Any + +from numpy import ufunc + +__all__: list[str] + +# NOTE: `NDArrayOperatorsMixin` is not formally an abstract baseclass, +# even though it's reliant on subclasses implementing `__array_ufunc__` + +# NOTE: The accepted input- and output-types of the various dunders are +# completely dependent on how `__array_ufunc__` is implemented. +# As such, only little type safety can be provided here. + +class NDArrayOperatorsMixin(metaclass=ABCMeta): + @abstractmethod + def __array_ufunc__( + self, + ufunc: ufunc, + method: L["__call__", "reduce", "reduceat", "accumulate", "outer", "inner"], + *inputs: Any, + **kwargs: Any, + ) -> Any: ... + def __lt__(self, other: Any) -> Any: ... + def __le__(self, other: Any) -> Any: ... + def __eq__(self, other: Any) -> Any: ... + def __ne__(self, other: Any) -> Any: ... + def __gt__(self, other: Any) -> Any: ... + def __ge__(self, other: Any) -> Any: ... + def __add__(self, other: Any) -> Any: ... + def __radd__(self, other: Any) -> Any: ... + def __iadd__(self, other: Any) -> Any: ... + def __sub__(self, other: Any) -> Any: ... + def __rsub__(self, other: Any) -> Any: ... + def __isub__(self, other: Any) -> Any: ... + def __mul__(self, other: Any) -> Any: ... + def __rmul__(self, other: Any) -> Any: ... + def __imul__(self, other: Any) -> Any: ... + def __matmul__(self, other: Any) -> Any: ... + def __rmatmul__(self, other: Any) -> Any: ... + def __imatmul__(self, other: Any) -> Any: ... + def __truediv__(self, other: Any) -> Any: ... + def __rtruediv__(self, other: Any) -> Any: ... + def __itruediv__(self, other: Any) -> Any: ... + def __floordiv__(self, other: Any) -> Any: ... + def __rfloordiv__(self, other: Any) -> Any: ... + def __ifloordiv__(self, other: Any) -> Any: ... + def __mod__(self, other: Any) -> Any: ... + def __rmod__(self, other: Any) -> Any: ... + def __imod__(self, other: Any) -> Any: ... + def __divmod__(self, other: Any) -> Any: ... + def __rdivmod__(self, other: Any) -> Any: ... + def __pow__(self, other: Any) -> Any: ... + def __rpow__(self, other: Any) -> Any: ... + def __ipow__(self, other: Any) -> Any: ... + def __lshift__(self, other: Any) -> Any: ... + def __rlshift__(self, other: Any) -> Any: ... + def __ilshift__(self, other: Any) -> Any: ... + def __rshift__(self, other: Any) -> Any: ... + def __rrshift__(self, other: Any) -> Any: ... + def __irshift__(self, other: Any) -> Any: ... + def __and__(self, other: Any) -> Any: ... + def __rand__(self, other: Any) -> Any: ... + def __iand__(self, other: Any) -> Any: ... + def __xor__(self, other: Any) -> Any: ... + def __rxor__(self, other: Any) -> Any: ... + def __ixor__(self, other: Any) -> Any: ... + def __or__(self, other: Any) -> Any: ... + def __ror__(self, other: Any) -> Any: ... + def __ior__(self, other: Any) -> Any: ... + def __neg__(self) -> Any: ... + def __pos__(self) -> Any: ... + def __abs__(self) -> Any: ... + def __invert__(self) -> Any: ... diff --git a/lib/python3.12/site-packages/numpy/lib/nanfunctions.py b/lib/python3.12/site-packages/numpy/lib/nanfunctions.py new file mode 100644 index 0000000000000000000000000000000000000000..b3b570860ff87521f103776c42b4f2462f778dae --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/nanfunctions.py @@ -0,0 +1,1887 @@ +""" +Functions that ignore NaN. + +Functions +--------- + +- `nanmin` -- minimum non-NaN value +- `nanmax` -- maximum non-NaN value +- `nanargmin` -- index of minimum non-NaN value +- `nanargmax` -- index of maximum non-NaN value +- `nansum` -- sum of non-NaN values +- `nanprod` -- product of non-NaN values +- `nancumsum` -- cumulative sum of non-NaN values +- `nancumprod` -- cumulative product of non-NaN values +- `nanmean` -- mean of non-NaN values +- `nanvar` -- variance of non-NaN values +- `nanstd` -- standard deviation of non-NaN values +- `nanmedian` -- median of non-NaN values +- `nanquantile` -- qth quantile of non-NaN values +- `nanpercentile` -- qth percentile of non-NaN values + +""" +import functools +import warnings +import numpy as np +from numpy.lib import function_base +from numpy.core import overrides + + +array_function_dispatch = functools.partial( + overrides.array_function_dispatch, module='numpy') + + +__all__ = [ + 'nansum', 'nanmax', 'nanmin', 'nanargmax', 'nanargmin', 'nanmean', + 'nanmedian', 'nanpercentile', 'nanvar', 'nanstd', 'nanprod', + 'nancumsum', 'nancumprod', 'nanquantile' + ] + + +def _nan_mask(a, out=None): + """ + Parameters + ---------- + a : array-like + Input array with at least 1 dimension. + out : ndarray, optional + Alternate output array in which to place the result. The default + is ``None``; if provided, it must have the same shape as the + expected output and will prevent the allocation of a new array. + + Returns + ------- + y : bool ndarray or True + A bool array where ``np.nan`` positions are marked with ``False`` + and other positions are marked with ``True``. If the type of ``a`` + is such that it can't possibly contain ``np.nan``, returns ``True``. + """ + # we assume that a is an array for this private function + + if a.dtype.kind not in 'fc': + return True + + y = np.isnan(a, out=out) + y = np.invert(y, out=y) + return y + +def _replace_nan(a, val): + """ + If `a` is of inexact type, make a copy of `a`, replace NaNs with + the `val` value, and return the copy together with a boolean mask + marking the locations where NaNs were present. If `a` is not of + inexact type, do nothing and return `a` together with a mask of None. + + Note that scalars will end up as array scalars, which is important + for using the result as the value of the out argument in some + operations. + + Parameters + ---------- + a : array-like + Input array. + val : float + NaN values are set to val before doing the operation. + + Returns + ------- + y : ndarray + If `a` is of inexact type, return a copy of `a` with the NaNs + replaced by the fill value, otherwise return `a`. + mask: {bool, None} + If `a` is of inexact type, return a boolean mask marking locations of + NaNs, otherwise return None. + + """ + a = np.asanyarray(a) + + if a.dtype == np.object_: + # object arrays do not support `isnan` (gh-9009), so make a guess + mask = np.not_equal(a, a, dtype=bool) + elif issubclass(a.dtype.type, np.inexact): + mask = np.isnan(a) + else: + mask = None + + if mask is not None: + a = np.array(a, subok=True, copy=True) + np.copyto(a, val, where=mask) + + return a, mask + + +def _copyto(a, val, mask): + """ + Replace values in `a` with NaN where `mask` is True. This differs from + copyto in that it will deal with the case where `a` is a numpy scalar. + + Parameters + ---------- + a : ndarray or numpy scalar + Array or numpy scalar some of whose values are to be replaced + by val. + val : numpy scalar + Value used a replacement. + mask : ndarray, scalar + Boolean array. Where True the corresponding element of `a` is + replaced by `val`. Broadcasts. + + Returns + ------- + res : ndarray, scalar + Array with elements replaced or scalar `val`. + + """ + if isinstance(a, np.ndarray): + np.copyto(a, val, where=mask, casting='unsafe') + else: + a = a.dtype.type(val) + return a + + +def _remove_nan_1d(arr1d, overwrite_input=False): + """ + Equivalent to arr1d[~arr1d.isnan()], but in a different order + + Presumably faster as it incurs fewer copies + + Parameters + ---------- + arr1d : ndarray + Array to remove nans from + overwrite_input : bool + True if `arr1d` can be modified in place + + Returns + ------- + res : ndarray + Array with nan elements removed + overwrite_input : bool + True if `res` can be modified in place, given the constraint on the + input + """ + if arr1d.dtype == object: + # object arrays do not support `isnan` (gh-9009), so make a guess + c = np.not_equal(arr1d, arr1d, dtype=bool) + else: + c = np.isnan(arr1d) + + s = np.nonzero(c)[0] + if s.size == arr1d.size: + warnings.warn("All-NaN slice encountered", RuntimeWarning, + stacklevel=6) + return arr1d[:0], True + elif s.size == 0: + return arr1d, overwrite_input + else: + if not overwrite_input: + arr1d = arr1d.copy() + # select non-nans at end of array + enonan = arr1d[-s.size:][~c[-s.size:]] + # fill nans in beginning of array with non-nans of end + arr1d[s[:enonan.size]] = enonan + + return arr1d[:-s.size], True + + +def _divide_by_count(a, b, out=None): + """ + Compute a/b ignoring invalid results. If `a` is an array the division + is done in place. If `a` is a scalar, then its type is preserved in the + output. If out is None, then a is used instead so that the division + is in place. Note that this is only called with `a` an inexact type. + + Parameters + ---------- + a : {ndarray, numpy scalar} + Numerator. Expected to be of inexact type but not checked. + b : {ndarray, numpy scalar} + Denominator. + out : ndarray, optional + Alternate output array in which to place the result. The default + is ``None``; if provided, it must have the same shape as the + expected output, but the type will be cast if necessary. + + Returns + ------- + ret : {ndarray, numpy scalar} + The return value is a/b. If `a` was an ndarray the division is done + in place. If `a` is a numpy scalar, the division preserves its type. + + """ + with np.errstate(invalid='ignore', divide='ignore'): + if isinstance(a, np.ndarray): + if out is None: + return np.divide(a, b, out=a, casting='unsafe') + else: + return np.divide(a, b, out=out, casting='unsafe') + else: + if out is None: + # Precaution against reduced object arrays + try: + return a.dtype.type(a / b) + except AttributeError: + return a / b + else: + # This is questionable, but currently a numpy scalar can + # be output to a zero dimensional array. + return np.divide(a, b, out=out, casting='unsafe') + + +def _nanmin_dispatcher(a, axis=None, out=None, keepdims=None, + initial=None, where=None): + return (a, out) + + +@array_function_dispatch(_nanmin_dispatcher) +def nanmin(a, axis=None, out=None, keepdims=np._NoValue, initial=np._NoValue, + where=np._NoValue): + """ + Return minimum of an array or minimum along an axis, ignoring any NaNs. + When all-NaN slices are encountered a ``RuntimeWarning`` is raised and + Nan is returned for that slice. + + Parameters + ---------- + a : array_like + Array containing numbers whose minimum is desired. If `a` is not an + array, a conversion is attempted. + axis : {int, tuple of int, None}, optional + Axis or axes along which the minimum is computed. The default is to compute + the minimum of the flattened array. + out : ndarray, optional + Alternate output array in which to place the result. The default + is ``None``; if provided, it must have the same shape as the + expected output, but the type will be cast if necessary. See + :ref:`ufuncs-output-type` for more details. + + .. versionadded:: 1.8.0 + keepdims : bool, optional + If this is set to True, the axes which are reduced are left + in the result as dimensions with size one. With this option, + the result will broadcast correctly against the original `a`. + + If the value is anything but the default, then + `keepdims` will be passed through to the `min` method + of sub-classes of `ndarray`. If the sub-classes methods + does not implement `keepdims` any exceptions will be raised. + + .. versionadded:: 1.8.0 + initial : scalar, optional + The maximum value of an output element. Must be present to allow + computation on empty slice. See `~numpy.ufunc.reduce` for details. + + .. versionadded:: 1.22.0 + where : array_like of bool, optional + Elements to compare for the minimum. See `~numpy.ufunc.reduce` + for details. + + .. versionadded:: 1.22.0 + + Returns + ------- + nanmin : ndarray + An array with the same shape as `a`, with the specified axis + removed. If `a` is a 0-d array, or if axis is None, an ndarray + scalar is returned. The same dtype as `a` is returned. + + See Also + -------- + nanmax : + The maximum value of an array along a given axis, ignoring any NaNs. + amin : + The minimum value of an array along a given axis, propagating any NaNs. + fmin : + Element-wise minimum of two arrays, ignoring any NaNs. + minimum : + Element-wise minimum of two arrays, propagating any NaNs. + isnan : + Shows which elements are Not a Number (NaN). + isfinite: + Shows which elements are neither NaN nor infinity. + + amax, fmax, maximum + + Notes + ----- + NumPy uses the IEEE Standard for Binary Floating-Point for Arithmetic + (IEEE 754). This means that Not a Number is not equivalent to infinity. + Positive infinity is treated as a very large number and negative + infinity is treated as a very small (i.e. negative) number. + + If the input has a integer type the function is equivalent to np.min. + + Examples + -------- + >>> a = np.array([[1, 2], [3, np.nan]]) + >>> np.nanmin(a) + 1.0 + >>> np.nanmin(a, axis=0) + array([1., 2.]) + >>> np.nanmin(a, axis=1) + array([1., 3.]) + + When positive infinity and negative infinity are present: + + >>> np.nanmin([1, 2, np.nan, np.inf]) + 1.0 + >>> np.nanmin([1, 2, np.nan, np.NINF]) + -inf + + """ + kwargs = {} + if keepdims is not np._NoValue: + kwargs['keepdims'] = keepdims + if initial is not np._NoValue: + kwargs['initial'] = initial + if where is not np._NoValue: + kwargs['where'] = where + + if type(a) is np.ndarray and a.dtype != np.object_: + # Fast, but not safe for subclasses of ndarray, or object arrays, + # which do not implement isnan (gh-9009), or fmin correctly (gh-8975) + res = np.fmin.reduce(a, axis=axis, out=out, **kwargs) + if np.isnan(res).any(): + warnings.warn("All-NaN slice encountered", RuntimeWarning, + stacklevel=2) + else: + # Slow, but safe for subclasses of ndarray + a, mask = _replace_nan(a, +np.inf) + res = np.amin(a, axis=axis, out=out, **kwargs) + if mask is None: + return res + + # Check for all-NaN axis + kwargs.pop("initial", None) + mask = np.all(mask, axis=axis, **kwargs) + if np.any(mask): + res = _copyto(res, np.nan, mask) + warnings.warn("All-NaN axis encountered", RuntimeWarning, + stacklevel=2) + return res + + +def _nanmax_dispatcher(a, axis=None, out=None, keepdims=None, + initial=None, where=None): + return (a, out) + + +@array_function_dispatch(_nanmax_dispatcher) +def nanmax(a, axis=None, out=None, keepdims=np._NoValue, initial=np._NoValue, + where=np._NoValue): + """ + Return the maximum of an array or maximum along an axis, ignoring any + NaNs. When all-NaN slices are encountered a ``RuntimeWarning`` is + raised and NaN is returned for that slice. + + Parameters + ---------- + a : array_like + Array containing numbers whose maximum is desired. If `a` is not an + array, a conversion is attempted. + axis : {int, tuple of int, None}, optional + Axis or axes along which the maximum is computed. The default is to compute + the maximum of the flattened array. + out : ndarray, optional + Alternate output array in which to place the result. The default + is ``None``; if provided, it must have the same shape as the + expected output, but the type will be cast if necessary. See + :ref:`ufuncs-output-type` for more details. + + .. versionadded:: 1.8.0 + keepdims : bool, optional + If this is set to True, the axes which are reduced are left + in the result as dimensions with size one. With this option, + the result will broadcast correctly against the original `a`. + + If the value is anything but the default, then + `keepdims` will be passed through to the `max` method + of sub-classes of `ndarray`. If the sub-classes methods + does not implement `keepdims` any exceptions will be raised. + + .. versionadded:: 1.8.0 + initial : scalar, optional + The minimum value of an output element. Must be present to allow + computation on empty slice. See `~numpy.ufunc.reduce` for details. + + .. versionadded:: 1.22.0 + where : array_like of bool, optional + Elements to compare for the maximum. See `~numpy.ufunc.reduce` + for details. + + .. versionadded:: 1.22.0 + + Returns + ------- + nanmax : ndarray + An array with the same shape as `a`, with the specified axis removed. + If `a` is a 0-d array, or if axis is None, an ndarray scalar is + returned. The same dtype as `a` is returned. + + See Also + -------- + nanmin : + The minimum value of an array along a given axis, ignoring any NaNs. + amax : + The maximum value of an array along a given axis, propagating any NaNs. + fmax : + Element-wise maximum of two arrays, ignoring any NaNs. + maximum : + Element-wise maximum of two arrays, propagating any NaNs. + isnan : + Shows which elements are Not a Number (NaN). + isfinite: + Shows which elements are neither NaN nor infinity. + + amin, fmin, minimum + + Notes + ----- + NumPy uses the IEEE Standard for Binary Floating-Point for Arithmetic + (IEEE 754). This means that Not a Number is not equivalent to infinity. + Positive infinity is treated as a very large number and negative + infinity is treated as a very small (i.e. negative) number. + + If the input has a integer type the function is equivalent to np.max. + + Examples + -------- + >>> a = np.array([[1, 2], [3, np.nan]]) + >>> np.nanmax(a) + 3.0 + >>> np.nanmax(a, axis=0) + array([3., 2.]) + >>> np.nanmax(a, axis=1) + array([2., 3.]) + + When positive infinity and negative infinity are present: + + >>> np.nanmax([1, 2, np.nan, np.NINF]) + 2.0 + >>> np.nanmax([1, 2, np.nan, np.inf]) + inf + + """ + kwargs = {} + if keepdims is not np._NoValue: + kwargs['keepdims'] = keepdims + if initial is not np._NoValue: + kwargs['initial'] = initial + if where is not np._NoValue: + kwargs['where'] = where + + if type(a) is np.ndarray and a.dtype != np.object_: + # Fast, but not safe for subclasses of ndarray, or object arrays, + # which do not implement isnan (gh-9009), or fmax correctly (gh-8975) + res = np.fmax.reduce(a, axis=axis, out=out, **kwargs) + if np.isnan(res).any(): + warnings.warn("All-NaN slice encountered", RuntimeWarning, + stacklevel=2) + else: + # Slow, but safe for subclasses of ndarray + a, mask = _replace_nan(a, -np.inf) + res = np.amax(a, axis=axis, out=out, **kwargs) + if mask is None: + return res + + # Check for all-NaN axis + kwargs.pop("initial", None) + mask = np.all(mask, axis=axis, **kwargs) + if np.any(mask): + res = _copyto(res, np.nan, mask) + warnings.warn("All-NaN axis encountered", RuntimeWarning, + stacklevel=2) + return res + + +def _nanargmin_dispatcher(a, axis=None, out=None, *, keepdims=None): + return (a,) + + +@array_function_dispatch(_nanargmin_dispatcher) +def nanargmin(a, axis=None, out=None, *, keepdims=np._NoValue): + """ + Return the indices of the minimum values in the specified axis ignoring + NaNs. For all-NaN slices ``ValueError`` is raised. Warning: the results + cannot be trusted if a slice contains only NaNs and Infs. + + Parameters + ---------- + a : array_like + Input data. + axis : int, optional + Axis along which to operate. By default flattened input is used. + out : array, optional + If provided, the result will be inserted into this array. It should + be of the appropriate shape and dtype. + + .. versionadded:: 1.22.0 + keepdims : bool, optional + If this is set to True, the axes which are reduced are left + in the result as dimensions with size one. With this option, + the result will broadcast correctly against the array. + + .. versionadded:: 1.22.0 + + Returns + ------- + index_array : ndarray + An array of indices or a single index value. + + See Also + -------- + argmin, nanargmax + + Examples + -------- + >>> a = np.array([[np.nan, 4], [2, 3]]) + >>> np.argmin(a) + 0 + >>> np.nanargmin(a) + 2 + >>> np.nanargmin(a, axis=0) + array([1, 1]) + >>> np.nanargmin(a, axis=1) + array([1, 0]) + + """ + a, mask = _replace_nan(a, np.inf) + if mask is not None: + mask = np.all(mask, axis=axis) + if np.any(mask): + raise ValueError("All-NaN slice encountered") + res = np.argmin(a, axis=axis, out=out, keepdims=keepdims) + return res + + +def _nanargmax_dispatcher(a, axis=None, out=None, *, keepdims=None): + return (a,) + + +@array_function_dispatch(_nanargmax_dispatcher) +def nanargmax(a, axis=None, out=None, *, keepdims=np._NoValue): + """ + Return the indices of the maximum values in the specified axis ignoring + NaNs. For all-NaN slices ``ValueError`` is raised. Warning: the + results cannot be trusted if a slice contains only NaNs and -Infs. + + + Parameters + ---------- + a : array_like + Input data. + axis : int, optional + Axis along which to operate. By default flattened input is used. + out : array, optional + If provided, the result will be inserted into this array. It should + be of the appropriate shape and dtype. + + .. versionadded:: 1.22.0 + keepdims : bool, optional + If this is set to True, the axes which are reduced are left + in the result as dimensions with size one. With this option, + the result will broadcast correctly against the array. + + .. versionadded:: 1.22.0 + + Returns + ------- + index_array : ndarray + An array of indices or a single index value. + + See Also + -------- + argmax, nanargmin + + Examples + -------- + >>> a = np.array([[np.nan, 4], [2, 3]]) + >>> np.argmax(a) + 0 + >>> np.nanargmax(a) + 1 + >>> np.nanargmax(a, axis=0) + array([1, 0]) + >>> np.nanargmax(a, axis=1) + array([1, 1]) + + """ + a, mask = _replace_nan(a, -np.inf) + if mask is not None: + mask = np.all(mask, axis=axis) + if np.any(mask): + raise ValueError("All-NaN slice encountered") + res = np.argmax(a, axis=axis, out=out, keepdims=keepdims) + return res + + +def _nansum_dispatcher(a, axis=None, dtype=None, out=None, keepdims=None, + initial=None, where=None): + return (a, out) + + +@array_function_dispatch(_nansum_dispatcher) +def nansum(a, axis=None, dtype=None, out=None, keepdims=np._NoValue, + initial=np._NoValue, where=np._NoValue): + """ + Return the sum of array elements over a given axis treating Not a + Numbers (NaNs) as zero. + + In NumPy versions <= 1.9.0 Nan is returned for slices that are all-NaN or + empty. In later versions zero is returned. + + Parameters + ---------- + a : array_like + Array containing numbers whose sum is desired. If `a` is not an + array, a conversion is attempted. + axis : {int, tuple of int, None}, optional + Axis or axes along which the sum is computed. The default is to compute the + sum of the flattened array. + dtype : data-type, optional + The type of the returned array and of the accumulator in which the + elements are summed. By default, the dtype of `a` is used. An + exception is when `a` has an integer type with less precision than + the platform (u)intp. In that case, the default will be either + (u)int32 or (u)int64 depending on whether the platform is 32 or 64 + bits. For inexact inputs, dtype must be inexact. + + .. versionadded:: 1.8.0 + out : ndarray, optional + Alternate output array in which to place the result. The default + is ``None``. If provided, it must have the same shape as the + expected output, but the type will be cast if necessary. See + :ref:`ufuncs-output-type` for more details. The casting of NaN to integer + can yield unexpected results. + + .. versionadded:: 1.8.0 + keepdims : bool, optional + If this is set to True, the axes which are reduced are left + in the result as dimensions with size one. With this option, + the result will broadcast correctly against the original `a`. + + + If the value is anything but the default, then + `keepdims` will be passed through to the `mean` or `sum` methods + of sub-classes of `ndarray`. If the sub-classes methods + does not implement `keepdims` any exceptions will be raised. + + .. versionadded:: 1.8.0 + initial : scalar, optional + Starting value for the sum. See `~numpy.ufunc.reduce` for details. + + .. versionadded:: 1.22.0 + where : array_like of bool, optional + Elements to include in the sum. See `~numpy.ufunc.reduce` for details. + + .. versionadded:: 1.22.0 + + Returns + ------- + nansum : ndarray. + A new array holding the result is returned unless `out` is + specified, in which it is returned. The result has the same + size as `a`, and the same shape as `a` if `axis` is not None + or `a` is a 1-d array. + + See Also + -------- + numpy.sum : Sum across array propagating NaNs. + isnan : Show which elements are NaN. + isfinite : Show which elements are not NaN or +/-inf. + + Notes + ----- + If both positive and negative infinity are present, the sum will be Not + A Number (NaN). + + Examples + -------- + >>> np.nansum(1) + 1 + >>> np.nansum([1]) + 1 + >>> np.nansum([1, np.nan]) + 1.0 + >>> a = np.array([[1, 1], [1, np.nan]]) + >>> np.nansum(a) + 3.0 + >>> np.nansum(a, axis=0) + array([2., 1.]) + >>> np.nansum([1, np.nan, np.inf]) + inf + >>> np.nansum([1, np.nan, np.NINF]) + -inf + >>> from numpy.testing import suppress_warnings + >>> with suppress_warnings() as sup: + ... sup.filter(RuntimeWarning) + ... np.nansum([1, np.nan, np.inf, -np.inf]) # both +/- infinity present + nan + + """ + a, mask = _replace_nan(a, 0) + return np.sum(a, axis=axis, dtype=dtype, out=out, keepdims=keepdims, + initial=initial, where=where) + + +def _nanprod_dispatcher(a, axis=None, dtype=None, out=None, keepdims=None, + initial=None, where=None): + return (a, out) + + +@array_function_dispatch(_nanprod_dispatcher) +def nanprod(a, axis=None, dtype=None, out=None, keepdims=np._NoValue, + initial=np._NoValue, where=np._NoValue): + """ + Return the product of array elements over a given axis treating Not a + Numbers (NaNs) as ones. + + One is returned for slices that are all-NaN or empty. + + .. versionadded:: 1.10.0 + + Parameters + ---------- + a : array_like + Array containing numbers whose product is desired. If `a` is not an + array, a conversion is attempted. + axis : {int, tuple of int, None}, optional + Axis or axes along which the product is computed. The default is to compute + the product of the flattened array. + dtype : data-type, optional + The type of the returned array and of the accumulator in which the + elements are summed. By default, the dtype of `a` is used. An + exception is when `a` has an integer type with less precision than + the platform (u)intp. In that case, the default will be either + (u)int32 or (u)int64 depending on whether the platform is 32 or 64 + bits. For inexact inputs, dtype must be inexact. + out : ndarray, optional + Alternate output array in which to place the result. The default + is ``None``. If provided, it must have the same shape as the + expected output, but the type will be cast if necessary. See + :ref:`ufuncs-output-type` for more details. The casting of NaN to integer + can yield unexpected results. + keepdims : bool, optional + If True, the axes which are reduced are left in the result as + dimensions with size one. With this option, the result will + broadcast correctly against the original `arr`. + initial : scalar, optional + The starting value for this product. See `~numpy.ufunc.reduce` + for details. + + .. versionadded:: 1.22.0 + where : array_like of bool, optional + Elements to include in the product. See `~numpy.ufunc.reduce` + for details. + + .. versionadded:: 1.22.0 + + Returns + ------- + nanprod : ndarray + A new array holding the result is returned unless `out` is + specified, in which case it is returned. + + See Also + -------- + numpy.prod : Product across array propagating NaNs. + isnan : Show which elements are NaN. + + Examples + -------- + >>> np.nanprod(1) + 1 + >>> np.nanprod([1]) + 1 + >>> np.nanprod([1, np.nan]) + 1.0 + >>> a = np.array([[1, 2], [3, np.nan]]) + >>> np.nanprod(a) + 6.0 + >>> np.nanprod(a, axis=0) + array([3., 2.]) + + """ + a, mask = _replace_nan(a, 1) + return np.prod(a, axis=axis, dtype=dtype, out=out, keepdims=keepdims, + initial=initial, where=where) + + +def _nancumsum_dispatcher(a, axis=None, dtype=None, out=None): + return (a, out) + + +@array_function_dispatch(_nancumsum_dispatcher) +def nancumsum(a, axis=None, dtype=None, out=None): + """ + Return the cumulative sum of array elements over a given axis treating Not a + Numbers (NaNs) as zero. The cumulative sum does not change when NaNs are + encountered and leading NaNs are replaced by zeros. + + Zeros are returned for slices that are all-NaN or empty. + + .. versionadded:: 1.12.0 + + Parameters + ---------- + a : array_like + Input array. + axis : int, optional + Axis along which the cumulative sum is computed. The default + (None) is to compute the cumsum over the flattened array. + dtype : dtype, optional + Type of the returned array and of the accumulator in which the + elements are summed. If `dtype` is not specified, it defaults + to the dtype of `a`, unless `a` has an integer dtype with a + precision less than that of the default platform integer. In + that case, the default platform integer is used. + out : ndarray, optional + Alternative output array in which to place the result. It must + have the same shape and buffer length as the expected output + but the type will be cast if necessary. See :ref:`ufuncs-output-type` for + more details. + + Returns + ------- + nancumsum : ndarray. + A new array holding the result is returned unless `out` is + specified, in which it is returned. The result has the same + size as `a`, and the same shape as `a` if `axis` is not None + or `a` is a 1-d array. + + See Also + -------- + numpy.cumsum : Cumulative sum across array propagating NaNs. + isnan : Show which elements are NaN. + + Examples + -------- + >>> np.nancumsum(1) + array([1]) + >>> np.nancumsum([1]) + array([1]) + >>> np.nancumsum([1, np.nan]) + array([1., 1.]) + >>> a = np.array([[1, 2], [3, np.nan]]) + >>> np.nancumsum(a) + array([1., 3., 6., 6.]) + >>> np.nancumsum(a, axis=0) + array([[1., 2.], + [4., 2.]]) + >>> np.nancumsum(a, axis=1) + array([[1., 3.], + [3., 3.]]) + + """ + a, mask = _replace_nan(a, 0) + return np.cumsum(a, axis=axis, dtype=dtype, out=out) + + +def _nancumprod_dispatcher(a, axis=None, dtype=None, out=None): + return (a, out) + + +@array_function_dispatch(_nancumprod_dispatcher) +def nancumprod(a, axis=None, dtype=None, out=None): + """ + Return the cumulative product of array elements over a given axis treating Not a + Numbers (NaNs) as one. The cumulative product does not change when NaNs are + encountered and leading NaNs are replaced by ones. + + Ones are returned for slices that are all-NaN or empty. + + .. versionadded:: 1.12.0 + + Parameters + ---------- + a : array_like + Input array. + axis : int, optional + Axis along which the cumulative product is computed. By default + the input is flattened. + dtype : dtype, optional + Type of the returned array, as well as of the accumulator in which + the elements are multiplied. If *dtype* is not specified, it + defaults to the dtype of `a`, unless `a` has an integer dtype with + a precision less than that of the default platform integer. In + that case, the default platform integer is used instead. + out : ndarray, optional + Alternative output array in which to place the result. It must + have the same shape and buffer length as the expected output + but the type of the resulting values will be cast if necessary. + + Returns + ------- + nancumprod : ndarray + A new array holding the result is returned unless `out` is + specified, in which case it is returned. + + See Also + -------- + numpy.cumprod : Cumulative product across array propagating NaNs. + isnan : Show which elements are NaN. + + Examples + -------- + >>> np.nancumprod(1) + array([1]) + >>> np.nancumprod([1]) + array([1]) + >>> np.nancumprod([1, np.nan]) + array([1., 1.]) + >>> a = np.array([[1, 2], [3, np.nan]]) + >>> np.nancumprod(a) + array([1., 2., 6., 6.]) + >>> np.nancumprod(a, axis=0) + array([[1., 2.], + [3., 2.]]) + >>> np.nancumprod(a, axis=1) + array([[1., 2.], + [3., 3.]]) + + """ + a, mask = _replace_nan(a, 1) + return np.cumprod(a, axis=axis, dtype=dtype, out=out) + + +def _nanmean_dispatcher(a, axis=None, dtype=None, out=None, keepdims=None, + *, where=None): + return (a, out) + + +@array_function_dispatch(_nanmean_dispatcher) +def nanmean(a, axis=None, dtype=None, out=None, keepdims=np._NoValue, + *, where=np._NoValue): + """ + Compute the arithmetic mean along the specified axis, ignoring NaNs. + + Returns the average of the array elements. The average is taken over + the flattened array by default, otherwise over the specified axis. + `float64` intermediate and return values are used for integer inputs. + + For all-NaN slices, NaN is returned and a `RuntimeWarning` is raised. + + .. versionadded:: 1.8.0 + + Parameters + ---------- + a : array_like + Array containing numbers whose mean is desired. If `a` is not an + array, a conversion is attempted. + axis : {int, tuple of int, None}, optional + Axis or axes along which the means are computed. The default is to compute + the mean of the flattened array. + dtype : data-type, optional + Type to use in computing the mean. For integer inputs, the default + is `float64`; for inexact inputs, it is the same as the input + dtype. + out : ndarray, optional + Alternate output array in which to place the result. The default + is ``None``; if provided, it must have the same shape as the + expected output, but the type will be cast if necessary. See + :ref:`ufuncs-output-type` for more details. + keepdims : bool, optional + If this is set to True, the axes which are reduced are left + in the result as dimensions with size one. With this option, + the result will broadcast correctly against the original `a`. + + If the value is anything but the default, then + `keepdims` will be passed through to the `mean` or `sum` methods + of sub-classes of `ndarray`. If the sub-classes methods + does not implement `keepdims` any exceptions will be raised. + where : array_like of bool, optional + Elements to include in the mean. See `~numpy.ufunc.reduce` for details. + + .. versionadded:: 1.22.0 + + Returns + ------- + m : ndarray, see dtype parameter above + If `out=None`, returns a new array containing the mean values, + otherwise a reference to the output array is returned. Nan is + returned for slices that contain only NaNs. + + See Also + -------- + average : Weighted average + mean : Arithmetic mean taken while not ignoring NaNs + var, nanvar + + Notes + ----- + The arithmetic mean is the sum of the non-NaN elements along the axis + divided by the number of non-NaN elements. + + Note that for floating-point input, the mean is computed using the same + precision the input has. Depending on the input data, this can cause + the results to be inaccurate, especially for `float32`. Specifying a + higher-precision accumulator using the `dtype` keyword can alleviate + this issue. + + Examples + -------- + >>> a = np.array([[1, np.nan], [3, 4]]) + >>> np.nanmean(a) + 2.6666666666666665 + >>> np.nanmean(a, axis=0) + array([2., 4.]) + >>> np.nanmean(a, axis=1) + array([1., 3.5]) # may vary + + """ + arr, mask = _replace_nan(a, 0) + if mask is None: + return np.mean(arr, axis=axis, dtype=dtype, out=out, keepdims=keepdims, + where=where) + + if dtype is not None: + dtype = np.dtype(dtype) + if dtype is not None and not issubclass(dtype.type, np.inexact): + raise TypeError("If a is inexact, then dtype must be inexact") + if out is not None and not issubclass(out.dtype.type, np.inexact): + raise TypeError("If a is inexact, then out must be inexact") + + cnt = np.sum(~mask, axis=axis, dtype=np.intp, keepdims=keepdims, + where=where) + tot = np.sum(arr, axis=axis, dtype=dtype, out=out, keepdims=keepdims, + where=where) + avg = _divide_by_count(tot, cnt, out=out) + + isbad = (cnt == 0) + if isbad.any(): + warnings.warn("Mean of empty slice", RuntimeWarning, stacklevel=2) + # NaN is the only possible bad value, so no further + # action is needed to handle bad results. + return avg + + +def _nanmedian1d(arr1d, overwrite_input=False): + """ + Private function for rank 1 arrays. Compute the median ignoring NaNs. + See nanmedian for parameter usage + """ + arr1d_parsed, overwrite_input = _remove_nan_1d( + arr1d, overwrite_input=overwrite_input, + ) + + if arr1d_parsed.size == 0: + # Ensure that a nan-esque scalar of the appropriate type (and unit) + # is returned for `timedelta64` and `complexfloating` + return arr1d[-1] + + return np.median(arr1d_parsed, overwrite_input=overwrite_input) + + +def _nanmedian(a, axis=None, out=None, overwrite_input=False): + """ + Private function that doesn't support extended axis or keepdims. + These methods are extended to this function using _ureduce + See nanmedian for parameter usage + + """ + if axis is None or a.ndim == 1: + part = a.ravel() + if out is None: + return _nanmedian1d(part, overwrite_input) + else: + out[...] = _nanmedian1d(part, overwrite_input) + return out + else: + # for small medians use sort + indexing which is still faster than + # apply_along_axis + # benchmarked with shuffled (50, 50, x) containing a few NaN + if a.shape[axis] < 600: + return _nanmedian_small(a, axis, out, overwrite_input) + result = np.apply_along_axis(_nanmedian1d, axis, a, overwrite_input) + if out is not None: + out[...] = result + return result + + +def _nanmedian_small(a, axis=None, out=None, overwrite_input=False): + """ + sort + indexing median, faster for small medians along multiple + dimensions due to the high overhead of apply_along_axis + + see nanmedian for parameter usage + """ + a = np.ma.masked_array(a, np.isnan(a)) + m = np.ma.median(a, axis=axis, overwrite_input=overwrite_input) + for i in range(np.count_nonzero(m.mask.ravel())): + warnings.warn("All-NaN slice encountered", RuntimeWarning, + stacklevel=5) + + fill_value = np.timedelta64("NaT") if m.dtype.kind == "m" else np.nan + if out is not None: + out[...] = m.filled(fill_value) + return out + return m.filled(fill_value) + + +def _nanmedian_dispatcher( + a, axis=None, out=None, overwrite_input=None, keepdims=None): + return (a, out) + + +@array_function_dispatch(_nanmedian_dispatcher) +def nanmedian(a, axis=None, out=None, overwrite_input=False, keepdims=np._NoValue): + """ + Compute the median along the specified axis, while ignoring NaNs. + + Returns the median of the array elements. + + .. versionadded:: 1.9.0 + + Parameters + ---------- + a : array_like + Input array or object that can be converted to an array. + axis : {int, sequence of int, None}, optional + Axis or axes along which the medians are computed. The default + is to compute the median along a flattened version of the array. + A sequence of axes is supported since version 1.9.0. + out : ndarray, optional + Alternative output array in which to place the result. It must + have the same shape and buffer length as the expected output, + but the type (of the output) will be cast if necessary. + overwrite_input : bool, optional + If True, then allow use of memory of input array `a` for + calculations. The input array will be modified by the call to + `median`. This will save memory when you do not need to preserve + the contents of the input array. Treat the input as undefined, + but it will probably be fully or partially sorted. Default is + False. If `overwrite_input` is ``True`` and `a` is not already an + `ndarray`, an error will be raised. + keepdims : bool, optional + If this is set to True, the axes which are reduced are left + in the result as dimensions with size one. With this option, + the result will broadcast correctly against the original `a`. + + If this is anything but the default value it will be passed + through (in the special case of an empty array) to the + `mean` function of the underlying array. If the array is + a sub-class and `mean` does not have the kwarg `keepdims` this + will raise a RuntimeError. + + Returns + ------- + median : ndarray + A new array holding the result. If the input contains integers + or floats smaller than ``float64``, then the output data-type is + ``np.float64``. Otherwise, the data-type of the output is the + same as that of the input. If `out` is specified, that array is + returned instead. + + See Also + -------- + mean, median, percentile + + Notes + ----- + Given a vector ``V`` of length ``N``, the median of ``V`` is the + middle value of a sorted copy of ``V``, ``V_sorted`` - i.e., + ``V_sorted[(N-1)/2]``, when ``N`` is odd and the average of the two + middle values of ``V_sorted`` when ``N`` is even. + + Examples + -------- + >>> a = np.array([[10.0, 7, 4], [3, 2, 1]]) + >>> a[0, 1] = np.nan + >>> a + array([[10., nan, 4.], + [ 3., 2., 1.]]) + >>> np.median(a) + nan + >>> np.nanmedian(a) + 3.0 + >>> np.nanmedian(a, axis=0) + array([6.5, 2. , 2.5]) + >>> np.median(a, axis=1) + array([nan, 2.]) + >>> b = a.copy() + >>> np.nanmedian(b, axis=1, overwrite_input=True) + array([7., 2.]) + >>> assert not np.all(a==b) + >>> b = a.copy() + >>> np.nanmedian(b, axis=None, overwrite_input=True) + 3.0 + >>> assert not np.all(a==b) + + """ + a = np.asanyarray(a) + # apply_along_axis in _nanmedian doesn't handle empty arrays well, + # so deal them upfront + if a.size == 0: + return np.nanmean(a, axis, out=out, keepdims=keepdims) + + return function_base._ureduce(a, func=_nanmedian, keepdims=keepdims, + axis=axis, out=out, + overwrite_input=overwrite_input) + + +def _nanpercentile_dispatcher( + a, q, axis=None, out=None, overwrite_input=None, + method=None, keepdims=None, *, interpolation=None): + return (a, q, out) + + +@array_function_dispatch(_nanpercentile_dispatcher) +def nanpercentile( + a, + q, + axis=None, + out=None, + overwrite_input=False, + method="linear", + keepdims=np._NoValue, + *, + interpolation=None, +): + """ + Compute the qth percentile of the data along the specified axis, + while ignoring nan values. + + Returns the qth percentile(s) of the array elements. + + .. versionadded:: 1.9.0 + + Parameters + ---------- + a : array_like + Input array or object that can be converted to an array, containing + nan values to be ignored. + q : array_like of float + Percentile or sequence of percentiles to compute, which must be + between 0 and 100 inclusive. + axis : {int, tuple of int, None}, optional + Axis or axes along which the percentiles are computed. The default + is to compute the percentile(s) along a flattened version of the + array. + out : ndarray, optional + Alternative output array in which to place the result. It must have + the same shape and buffer length as the expected output, but the + type (of the output) will be cast if necessary. + overwrite_input : bool, optional + If True, then allow the input array `a` to be modified by + intermediate calculations, to save memory. In this case, the + contents of the input `a` after this function completes is + undefined. + method : str, optional + This parameter specifies the method to use for estimating the + percentile. There are many different methods, some unique to NumPy. + See the notes for explanation. The options sorted by their R type + as summarized in the H&F paper [1]_ are: + + 1. 'inverted_cdf' + 2. 'averaged_inverted_cdf' + 3. 'closest_observation' + 4. 'interpolated_inverted_cdf' + 5. 'hazen' + 6. 'weibull' + 7. 'linear' (default) + 8. 'median_unbiased' + 9. 'normal_unbiased' + + The first three methods are discontinuous. NumPy further defines the + following discontinuous variations of the default 'linear' (7.) option: + + * 'lower' + * 'higher', + * 'midpoint' + * 'nearest' + + .. versionchanged:: 1.22.0 + This argument was previously called "interpolation" and only + offered the "linear" default and last four options. + + keepdims : bool, optional + If this is set to True, the axes which are reduced are left in + the result as dimensions with size one. With this option, the + result will broadcast correctly against the original array `a`. + + If this is anything but the default value it will be passed + through (in the special case of an empty array) to the + `mean` function of the underlying array. If the array is + a sub-class and `mean` does not have the kwarg `keepdims` this + will raise a RuntimeError. + + interpolation : str, optional + Deprecated name for the method keyword argument. + + .. deprecated:: 1.22.0 + + Returns + ------- + percentile : scalar or ndarray + If `q` is a single percentile and `axis=None`, then the result + is a scalar. If multiple percentiles are given, first axis of + the result corresponds to the percentiles. The other axes are + the axes that remain after the reduction of `a`. If the input + contains integers or floats smaller than ``float64``, the output + data-type is ``float64``. Otherwise, the output data-type is the + same as that of the input. If `out` is specified, that array is + returned instead. + + See Also + -------- + nanmean + nanmedian : equivalent to ``nanpercentile(..., 50)`` + percentile, median, mean + nanquantile : equivalent to nanpercentile, except q in range [0, 1]. + + Notes + ----- + For more information please see `numpy.percentile` + + Examples + -------- + >>> a = np.array([[10., 7., 4.], [3., 2., 1.]]) + >>> a[0][1] = np.nan + >>> a + array([[10., nan, 4.], + [ 3., 2., 1.]]) + >>> np.percentile(a, 50) + nan + >>> np.nanpercentile(a, 50) + 3.0 + >>> np.nanpercentile(a, 50, axis=0) + array([6.5, 2. , 2.5]) + >>> np.nanpercentile(a, 50, axis=1, keepdims=True) + array([[7.], + [2.]]) + >>> m = np.nanpercentile(a, 50, axis=0) + >>> out = np.zeros_like(m) + >>> np.nanpercentile(a, 50, axis=0, out=out) + array([6.5, 2. , 2.5]) + >>> m + array([6.5, 2. , 2.5]) + + >>> b = a.copy() + >>> np.nanpercentile(b, 50, axis=1, overwrite_input=True) + array([7., 2.]) + >>> assert not np.all(a==b) + + References + ---------- + .. [1] R. J. Hyndman and Y. Fan, + "Sample quantiles in statistical packages," + The American Statistician, 50(4), pp. 361-365, 1996 + + """ + if interpolation is not None: + method = function_base._check_interpolation_as_method( + method, interpolation, "nanpercentile") + + a = np.asanyarray(a) + if a.dtype.kind == "c": + raise TypeError("a must be an array of real numbers") + + q = np.true_divide(q, 100.0) + # undo any decay that the ufunc performed (see gh-13105) + q = np.asanyarray(q) + if not function_base._quantile_is_valid(q): + raise ValueError("Percentiles must be in the range [0, 100]") + return _nanquantile_unchecked( + a, q, axis, out, overwrite_input, method, keepdims) + + +def _nanquantile_dispatcher(a, q, axis=None, out=None, overwrite_input=None, + method=None, keepdims=None, *, interpolation=None): + return (a, q, out) + + +@array_function_dispatch(_nanquantile_dispatcher) +def nanquantile( + a, + q, + axis=None, + out=None, + overwrite_input=False, + method="linear", + keepdims=np._NoValue, + *, + interpolation=None, +): + """ + Compute the qth quantile of the data along the specified axis, + while ignoring nan values. + Returns the qth quantile(s) of the array elements. + + .. versionadded:: 1.15.0 + + Parameters + ---------- + a : array_like + Input array or object that can be converted to an array, containing + nan values to be ignored + q : array_like of float + Probability or sequence of probabilities for the quantiles to compute. + Values must be between 0 and 1 inclusive. + axis : {int, tuple of int, None}, optional + Axis or axes along which the quantiles are computed. The + default is to compute the quantile(s) along a flattened + version of the array. + out : ndarray, optional + Alternative output array in which to place the result. It must + have the same shape and buffer length as the expected output, + but the type (of the output) will be cast if necessary. + overwrite_input : bool, optional + If True, then allow the input array `a` to be modified by intermediate + calculations, to save memory. In this case, the contents of the input + `a` after this function completes is undefined. + method : str, optional + This parameter specifies the method to use for estimating the + quantile. There are many different methods, some unique to NumPy. + See the notes for explanation. The options sorted by their R type + as summarized in the H&F paper [1]_ are: + + 1. 'inverted_cdf' + 2. 'averaged_inverted_cdf' + 3. 'closest_observation' + 4. 'interpolated_inverted_cdf' + 5. 'hazen' + 6. 'weibull' + 7. 'linear' (default) + 8. 'median_unbiased' + 9. 'normal_unbiased' + + The first three methods are discontinuous. NumPy further defines the + following discontinuous variations of the default 'linear' (7.) option: + + * 'lower' + * 'higher', + * 'midpoint' + * 'nearest' + + .. versionchanged:: 1.22.0 + This argument was previously called "interpolation" and only + offered the "linear" default and last four options. + + keepdims : bool, optional + If this is set to True, the axes which are reduced are left in + the result as dimensions with size one. With this option, the + result will broadcast correctly against the original array `a`. + + If this is anything but the default value it will be passed + through (in the special case of an empty array) to the + `mean` function of the underlying array. If the array is + a sub-class and `mean` does not have the kwarg `keepdims` this + will raise a RuntimeError. + + interpolation : str, optional + Deprecated name for the method keyword argument. + + .. deprecated:: 1.22.0 + + Returns + ------- + quantile : scalar or ndarray + If `q` is a single probability and `axis=None`, then the result + is a scalar. If multiple probability levels are given, first axis of + the result corresponds to the quantiles. The other axes are + the axes that remain after the reduction of `a`. If the input + contains integers or floats smaller than ``float64``, the output + data-type is ``float64``. Otherwise, the output data-type is the + same as that of the input. If `out` is specified, that array is + returned instead. + + See Also + -------- + quantile + nanmean, nanmedian + nanmedian : equivalent to ``nanquantile(..., 0.5)`` + nanpercentile : same as nanquantile, but with q in the range [0, 100]. + + Notes + ----- + For more information please see `numpy.quantile` + + Examples + -------- + >>> a = np.array([[10., 7., 4.], [3., 2., 1.]]) + >>> a[0][1] = np.nan + >>> a + array([[10., nan, 4.], + [ 3., 2., 1.]]) + >>> np.quantile(a, 0.5) + nan + >>> np.nanquantile(a, 0.5) + 3.0 + >>> np.nanquantile(a, 0.5, axis=0) + array([6.5, 2. , 2.5]) + >>> np.nanquantile(a, 0.5, axis=1, keepdims=True) + array([[7.], + [2.]]) + >>> m = np.nanquantile(a, 0.5, axis=0) + >>> out = np.zeros_like(m) + >>> np.nanquantile(a, 0.5, axis=0, out=out) + array([6.5, 2. , 2.5]) + >>> m + array([6.5, 2. , 2.5]) + >>> b = a.copy() + >>> np.nanquantile(b, 0.5, axis=1, overwrite_input=True) + array([7., 2.]) + >>> assert not np.all(a==b) + + References + ---------- + .. [1] R. J. Hyndman and Y. Fan, + "Sample quantiles in statistical packages," + The American Statistician, 50(4), pp. 361-365, 1996 + + """ + + if interpolation is not None: + method = function_base._check_interpolation_as_method( + method, interpolation, "nanquantile") + + a = np.asanyarray(a) + if a.dtype.kind == "c": + raise TypeError("a must be an array of real numbers") + + q = np.asanyarray(q) + if not function_base._quantile_is_valid(q): + raise ValueError("Quantiles must be in the range [0, 1]") + return _nanquantile_unchecked( + a, q, axis, out, overwrite_input, method, keepdims) + + +def _nanquantile_unchecked( + a, + q, + axis=None, + out=None, + overwrite_input=False, + method="linear", + keepdims=np._NoValue, +): + """Assumes that q is in [0, 1], and is an ndarray""" + # apply_along_axis in _nanpercentile doesn't handle empty arrays well, + # so deal them upfront + if a.size == 0: + return np.nanmean(a, axis, out=out, keepdims=keepdims) + return function_base._ureduce(a, + func=_nanquantile_ureduce_func, + q=q, + keepdims=keepdims, + axis=axis, + out=out, + overwrite_input=overwrite_input, + method=method) + + +def _nanquantile_ureduce_func(a, q, axis=None, out=None, overwrite_input=False, + method="linear"): + """ + Private function that doesn't support extended axis or keepdims. + These methods are extended to this function using _ureduce + See nanpercentile for parameter usage + """ + if axis is None or a.ndim == 1: + part = a.ravel() + result = _nanquantile_1d(part, q, overwrite_input, method) + else: + result = np.apply_along_axis(_nanquantile_1d, axis, a, q, + overwrite_input, method) + # apply_along_axis fills in collapsed axis with results. + # Move that axis to the beginning to match percentile's + # convention. + if q.ndim != 0: + result = np.moveaxis(result, axis, 0) + + if out is not None: + out[...] = result + return result + + +def _nanquantile_1d(arr1d, q, overwrite_input=False, method="linear"): + """ + Private function for rank 1 arrays. Compute quantile ignoring NaNs. + See nanpercentile for parameter usage + """ + arr1d, overwrite_input = _remove_nan_1d(arr1d, + overwrite_input=overwrite_input) + if arr1d.size == 0: + # convert to scalar + return np.full(q.shape, np.nan, dtype=arr1d.dtype)[()] + + return function_base._quantile_unchecked( + arr1d, q, overwrite_input=overwrite_input, method=method) + + +def _nanvar_dispatcher(a, axis=None, dtype=None, out=None, ddof=None, + keepdims=None, *, where=None): + return (a, out) + + +@array_function_dispatch(_nanvar_dispatcher) +def nanvar(a, axis=None, dtype=None, out=None, ddof=0, keepdims=np._NoValue, + *, where=np._NoValue): + """ + Compute the variance along the specified axis, while ignoring NaNs. + + Returns the variance of the array elements, a measure of the spread of + a distribution. The variance is computed for the flattened array by + default, otherwise over the specified axis. + + For all-NaN slices or slices with zero degrees of freedom, NaN is + returned and a `RuntimeWarning` is raised. + + .. versionadded:: 1.8.0 + + Parameters + ---------- + a : array_like + Array containing numbers whose variance is desired. If `a` is not an + array, a conversion is attempted. + axis : {int, tuple of int, None}, optional + Axis or axes along which the variance is computed. The default is to compute + the variance of the flattened array. + dtype : data-type, optional + Type to use in computing the variance. For arrays of integer type + the default is `float64`; for arrays of float types it is the same as + the array type. + out : ndarray, optional + Alternate output array in which to place the result. It must have + the same shape as the expected output, but the type is cast if + necessary. + ddof : int, optional + "Delta Degrees of Freedom": the divisor used in the calculation is + ``N - ddof``, where ``N`` represents the number of non-NaN + elements. By default `ddof` is zero. + keepdims : bool, optional + If this is set to True, the axes which are reduced are left + in the result as dimensions with size one. With this option, + the result will broadcast correctly against the original `a`. + where : array_like of bool, optional + Elements to include in the variance. See `~numpy.ufunc.reduce` for + details. + + .. versionadded:: 1.22.0 + + Returns + ------- + variance : ndarray, see dtype parameter above + If `out` is None, return a new array containing the variance, + otherwise return a reference to the output array. If ddof is >= the + number of non-NaN elements in a slice or the slice contains only + NaNs, then the result for that slice is NaN. + + See Also + -------- + std : Standard deviation + mean : Average + var : Variance while not ignoring NaNs + nanstd, nanmean + :ref:`ufuncs-output-type` + + Notes + ----- + The variance is the average of the squared deviations from the mean, + i.e., ``var = mean(abs(x - x.mean())**2)``. + + The mean is normally calculated as ``x.sum() / N``, where ``N = len(x)``. + If, however, `ddof` is specified, the divisor ``N - ddof`` is used + instead. In standard statistical practice, ``ddof=1`` provides an + unbiased estimator of the variance of a hypothetical infinite + population. ``ddof=0`` provides a maximum likelihood estimate of the + variance for normally distributed variables. + + Note that for complex numbers, the absolute value is taken before + squaring, so that the result is always real and nonnegative. + + For floating-point input, the variance is computed using the same + precision the input has. Depending on the input data, this can cause + the results to be inaccurate, especially for `float32` (see example + below). Specifying a higher-accuracy accumulator using the ``dtype`` + keyword can alleviate this issue. + + For this function to work on sub-classes of ndarray, they must define + `sum` with the kwarg `keepdims` + + Examples + -------- + >>> a = np.array([[1, np.nan], [3, 4]]) + >>> np.nanvar(a) + 1.5555555555555554 + >>> np.nanvar(a, axis=0) + array([1., 0.]) + >>> np.nanvar(a, axis=1) + array([0., 0.25]) # may vary + + """ + arr, mask = _replace_nan(a, 0) + if mask is None: + return np.var(arr, axis=axis, dtype=dtype, out=out, ddof=ddof, + keepdims=keepdims, where=where) + + if dtype is not None: + dtype = np.dtype(dtype) + if dtype is not None and not issubclass(dtype.type, np.inexact): + raise TypeError("If a is inexact, then dtype must be inexact") + if out is not None and not issubclass(out.dtype.type, np.inexact): + raise TypeError("If a is inexact, then out must be inexact") + + # Compute mean + if type(arr) is np.matrix: + _keepdims = np._NoValue + else: + _keepdims = True + # we need to special case matrix for reverse compatibility + # in order for this to work, these sums need to be called with + # keepdims=True, however matrix now raises an error in this case, but + # the reason that it drops the keepdims kwarg is to force keepdims=True + # so this used to work by serendipity. + cnt = np.sum(~mask, axis=axis, dtype=np.intp, keepdims=_keepdims, + where=where) + avg = np.sum(arr, axis=axis, dtype=dtype, keepdims=_keepdims, where=where) + avg = _divide_by_count(avg, cnt) + + # Compute squared deviation from mean. + np.subtract(arr, avg, out=arr, casting='unsafe', where=where) + arr = _copyto(arr, 0, mask) + if issubclass(arr.dtype.type, np.complexfloating): + sqr = np.multiply(arr, arr.conj(), out=arr, where=where).real + else: + sqr = np.multiply(arr, arr, out=arr, where=where) + + # Compute variance. + var = np.sum(sqr, axis=axis, dtype=dtype, out=out, keepdims=keepdims, + where=where) + + # Precaution against reduced object arrays + try: + var_ndim = var.ndim + except AttributeError: + var_ndim = np.ndim(var) + if var_ndim < cnt.ndim: + # Subclasses of ndarray may ignore keepdims, so check here. + cnt = cnt.squeeze(axis) + dof = cnt - ddof + var = _divide_by_count(var, dof) + + isbad = (dof <= 0) + if np.any(isbad): + warnings.warn("Degrees of freedom <= 0 for slice.", RuntimeWarning, + stacklevel=2) + # NaN, inf, or negative numbers are all possible bad + # values, so explicitly replace them with NaN. + var = _copyto(var, np.nan, isbad) + return var + + +def _nanstd_dispatcher(a, axis=None, dtype=None, out=None, ddof=None, + keepdims=None, *, where=None): + return (a, out) + + +@array_function_dispatch(_nanstd_dispatcher) +def nanstd(a, axis=None, dtype=None, out=None, ddof=0, keepdims=np._NoValue, + *, where=np._NoValue): + """ + Compute the standard deviation along the specified axis, while + ignoring NaNs. + + Returns the standard deviation, a measure of the spread of a + distribution, of the non-NaN array elements. The standard deviation is + computed for the flattened array by default, otherwise over the + specified axis. + + For all-NaN slices or slices with zero degrees of freedom, NaN is + returned and a `RuntimeWarning` is raised. + + .. versionadded:: 1.8.0 + + Parameters + ---------- + a : array_like + Calculate the standard deviation of the non-NaN values. + axis : {int, tuple of int, None}, optional + Axis or axes along which the standard deviation is computed. The default is + to compute the standard deviation of the flattened array. + dtype : dtype, optional + Type to use in computing the standard deviation. For arrays of + integer type the default is float64, for arrays of float types it + is the same as the array type. + out : ndarray, optional + Alternative output array in which to place the result. It must have + the same shape as the expected output but the type (of the + calculated values) will be cast if necessary. + ddof : int, optional + Means Delta Degrees of Freedom. The divisor used in calculations + is ``N - ddof``, where ``N`` represents the number of non-NaN + elements. By default `ddof` is zero. + + keepdims : bool, optional + If this is set to True, the axes which are reduced are left + in the result as dimensions with size one. With this option, + the result will broadcast correctly against the original `a`. + + If this value is anything but the default it is passed through + as-is to the relevant functions of the sub-classes. If these + functions do not have a `keepdims` kwarg, a RuntimeError will + be raised. + where : array_like of bool, optional + Elements to include in the standard deviation. + See `~numpy.ufunc.reduce` for details. + + .. versionadded:: 1.22.0 + + Returns + ------- + standard_deviation : ndarray, see dtype parameter above. + If `out` is None, return a new array containing the standard + deviation, otherwise return a reference to the output array. If + ddof is >= the number of non-NaN elements in a slice or the slice + contains only NaNs, then the result for that slice is NaN. + + See Also + -------- + var, mean, std + nanvar, nanmean + :ref:`ufuncs-output-type` + + Notes + ----- + The standard deviation is the square root of the average of the squared + deviations from the mean: ``std = sqrt(mean(abs(x - x.mean())**2))``. + + The average squared deviation is normally calculated as + ``x.sum() / N``, where ``N = len(x)``. If, however, `ddof` is + specified, the divisor ``N - ddof`` is used instead. In standard + statistical practice, ``ddof=1`` provides an unbiased estimator of the + variance of the infinite population. ``ddof=0`` provides a maximum + likelihood estimate of the variance for normally distributed variables. + The standard deviation computed in this function is the square root of + the estimated variance, so even with ``ddof=1``, it will not be an + unbiased estimate of the standard deviation per se. + + Note that, for complex numbers, `std` takes the absolute value before + squaring, so that the result is always real and nonnegative. + + For floating-point input, the *std* is computed using the same + precision the input has. Depending on the input data, this can cause + the results to be inaccurate, especially for float32 (see example + below). Specifying a higher-accuracy accumulator using the `dtype` + keyword can alleviate this issue. + + Examples + -------- + >>> a = np.array([[1, np.nan], [3, 4]]) + >>> np.nanstd(a) + 1.247219128924647 + >>> np.nanstd(a, axis=0) + array([1., 0.]) + >>> np.nanstd(a, axis=1) + array([0., 0.5]) # may vary + + """ + var = nanvar(a, axis=axis, dtype=dtype, out=out, ddof=ddof, + keepdims=keepdims, where=where) + if isinstance(var, np.ndarray): + std = np.sqrt(var, out=var) + elif hasattr(var, 'dtype'): + std = var.dtype.type(np.sqrt(var)) + else: + std = np.sqrt(var) + return std diff --git a/lib/python3.12/site-packages/numpy/lib/nanfunctions.pyi b/lib/python3.12/site-packages/numpy/lib/nanfunctions.pyi new file mode 100644 index 0000000000000000000000000000000000000000..8642055fedd2e5b851c656efd563453e8bd94bd6 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/nanfunctions.pyi @@ -0,0 +1,38 @@ +from numpy.core.fromnumeric import ( + amin, + amax, + argmin, + argmax, + sum, + prod, + cumsum, + cumprod, + mean, + var, + std +) + +from numpy.lib.function_base import ( + median, + percentile, + quantile, +) + +__all__: list[str] + +# NOTE: In reaility these functions are not aliases but distinct functions +# with identical signatures. +nanmin = amin +nanmax = amax +nanargmin = argmin +nanargmax = argmax +nansum = sum +nanprod = prod +nancumsum = cumsum +nancumprod = cumprod +nanmean = mean +nanvar = var +nanstd = std +nanmedian = median +nanpercentile = percentile +nanquantile = quantile diff --git a/lib/python3.12/site-packages/numpy/lib/npyio.py b/lib/python3.12/site-packages/numpy/lib/npyio.py new file mode 100644 index 0000000000000000000000000000000000000000..339b1dc6211377442f7c01b78c8b3c65c65be2b7 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/npyio.py @@ -0,0 +1,2547 @@ +import os +import re +import functools +import itertools +import warnings +import weakref +import contextlib +import operator +from operator import itemgetter, index as opindex, methodcaller +from collections.abc import Mapping + +import numpy as np +from . import format +from ._datasource import DataSource +from numpy.core import overrides +from numpy.core.multiarray import packbits, unpackbits +from numpy.core._multiarray_umath import _load_from_filelike +from numpy.core.overrides import set_array_function_like_doc, set_module +from ._iotools import ( + LineSplitter, NameValidator, StringConverter, ConverterError, + ConverterLockError, ConversionWarning, _is_string_like, + has_nested_fields, flatten_dtype, easy_dtype, _decode_line + ) + +from numpy.compat import ( + asbytes, asstr, asunicode, os_fspath, os_PathLike, + pickle + ) + + +__all__ = [ + 'savetxt', 'loadtxt', 'genfromtxt', + 'recfromtxt', 'recfromcsv', 'load', 'save', 'savez', + 'savez_compressed', 'packbits', 'unpackbits', 'fromregex', 'DataSource' + ] + + +array_function_dispatch = functools.partial( + overrides.array_function_dispatch, module='numpy') + + +class BagObj: + """ + BagObj(obj) + + Convert attribute look-ups to getitems on the object passed in. + + Parameters + ---------- + obj : class instance + Object on which attribute look-up is performed. + + Examples + -------- + >>> from numpy.lib.npyio import BagObj as BO + >>> class BagDemo: + ... def __getitem__(self, key): # An instance of BagObj(BagDemo) + ... # will call this method when any + ... # attribute look-up is required + ... result = "Doesn't matter what you want, " + ... return result + "you're gonna get this" + ... + >>> demo_obj = BagDemo() + >>> bagobj = BO(demo_obj) + >>> bagobj.hello_there + "Doesn't matter what you want, you're gonna get this" + >>> bagobj.I_can_be_anything + "Doesn't matter what you want, you're gonna get this" + + """ + + def __init__(self, obj): + # Use weakref to make NpzFile objects collectable by refcount + self._obj = weakref.proxy(obj) + + def __getattribute__(self, key): + try: + return object.__getattribute__(self, '_obj')[key] + except KeyError: + raise AttributeError(key) from None + + def __dir__(self): + """ + Enables dir(bagobj) to list the files in an NpzFile. + + This also enables tab-completion in an interpreter or IPython. + """ + return list(object.__getattribute__(self, '_obj').keys()) + + +def zipfile_factory(file, *args, **kwargs): + """ + Create a ZipFile. + + Allows for Zip64, and the `file` argument can accept file, str, or + pathlib.Path objects. `args` and `kwargs` are passed to the zipfile.ZipFile + constructor. + """ + if not hasattr(file, 'read'): + file = os_fspath(file) + import zipfile + kwargs['allowZip64'] = True + return zipfile.ZipFile(file, *args, **kwargs) + + +class NpzFile(Mapping): + """ + NpzFile(fid) + + A dictionary-like object with lazy-loading of files in the zipped + archive provided on construction. + + `NpzFile` is used to load files in the NumPy ``.npz`` data archive + format. It assumes that files in the archive have a ``.npy`` extension, + other files are ignored. + + The arrays and file strings are lazily loaded on either + getitem access using ``obj['key']`` or attribute lookup using + ``obj.f.key``. A list of all files (without ``.npy`` extensions) can + be obtained with ``obj.files`` and the ZipFile object itself using + ``obj.zip``. + + Attributes + ---------- + files : list of str + List of all files in the archive with a ``.npy`` extension. + zip : ZipFile instance + The ZipFile object initialized with the zipped archive. + f : BagObj instance + An object on which attribute can be performed as an alternative + to getitem access on the `NpzFile` instance itself. + allow_pickle : bool, optional + Allow loading pickled data. Default: False + + .. versionchanged:: 1.16.3 + Made default False in response to CVE-2019-6446. + + pickle_kwargs : dict, optional + Additional keyword arguments to pass on to pickle.load. + These are only useful when loading object arrays saved on + Python 2 when using Python 3. + max_header_size : int, optional + Maximum allowed size of the header. Large headers may not be safe + to load securely and thus require explicitly passing a larger value. + See :py:func:`ast.literal_eval()` for details. + This option is ignored when `allow_pickle` is passed. In that case + the file is by definition trusted and the limit is unnecessary. + + Parameters + ---------- + fid : file or str + The zipped archive to open. This is either a file-like object + or a string containing the path to the archive. + own_fid : bool, optional + Whether NpzFile should close the file handle. + Requires that `fid` is a file-like object. + + Examples + -------- + >>> from tempfile import TemporaryFile + >>> outfile = TemporaryFile() + >>> x = np.arange(10) + >>> y = np.sin(x) + >>> np.savez(outfile, x=x, y=y) + >>> _ = outfile.seek(0) + + >>> npz = np.load(outfile) + >>> isinstance(npz, np.lib.npyio.NpzFile) + True + >>> npz + NpzFile 'object' with keys x, y + >>> sorted(npz.files) + ['x', 'y'] + >>> npz['x'] # getitem access + array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9]) + >>> npz.f.x # attribute lookup + array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9]) + + """ + # Make __exit__ safe if zipfile_factory raises an exception + zip = None + fid = None + _MAX_REPR_ARRAY_COUNT = 5 + + def __init__(self, fid, own_fid=False, allow_pickle=False, + pickle_kwargs=None, *, + max_header_size=format._MAX_HEADER_SIZE): + # Import is postponed to here since zipfile depends on gzip, an + # optional component of the so-called standard library. + _zip = zipfile_factory(fid) + self._files = _zip.namelist() + self.files = [] + self.allow_pickle = allow_pickle + self.max_header_size = max_header_size + self.pickle_kwargs = pickle_kwargs + for x in self._files: + if x.endswith('.npy'): + self.files.append(x[:-4]) + else: + self.files.append(x) + self.zip = _zip + self.f = BagObj(self) + if own_fid: + self.fid = fid + + def __enter__(self): + return self + + def __exit__(self, exc_type, exc_value, traceback): + self.close() + + def close(self): + """ + Close the file. + + """ + if self.zip is not None: + self.zip.close() + self.zip = None + if self.fid is not None: + self.fid.close() + self.fid = None + self.f = None # break reference cycle + + def __del__(self): + self.close() + + # Implement the Mapping ABC + def __iter__(self): + return iter(self.files) + + def __len__(self): + return len(self.files) + + def __getitem__(self, key): + # FIXME: This seems like it will copy strings around + # more than is strictly necessary. The zipfile + # will read the string and then + # the format.read_array will copy the string + # to another place in memory. + # It would be better if the zipfile could read + # (or at least uncompress) the data + # directly into the array memory. + member = False + if key in self._files: + member = True + elif key in self.files: + member = True + key += '.npy' + if member: + bytes = self.zip.open(key) + magic = bytes.read(len(format.MAGIC_PREFIX)) + bytes.close() + if magic == format.MAGIC_PREFIX: + bytes = self.zip.open(key) + return format.read_array(bytes, + allow_pickle=self.allow_pickle, + pickle_kwargs=self.pickle_kwargs, + max_header_size=self.max_header_size) + else: + return self.zip.read(key) + else: + raise KeyError(f"{key} is not a file in the archive") + + def __contains__(self, key): + return (key in self._files or key in self.files) + + def __repr__(self): + # Get filename or default to `object` + if isinstance(self.fid, str): + filename = self.fid + else: + filename = getattr(self.fid, "name", "object") + + # Get the name of arrays + array_names = ', '.join(self.files[:self._MAX_REPR_ARRAY_COUNT]) + if len(self.files) > self._MAX_REPR_ARRAY_COUNT: + array_names += "..." + return f"NpzFile {filename!r} with keys: {array_names}" + + +@set_module('numpy') +def load(file, mmap_mode=None, allow_pickle=False, fix_imports=True, + encoding='ASCII', *, max_header_size=format._MAX_HEADER_SIZE): + """ + Load arrays or pickled objects from ``.npy``, ``.npz`` or pickled files. + + .. warning:: Loading files that contain object arrays uses the ``pickle`` + module, which is not secure against erroneous or maliciously + constructed data. Consider passing ``allow_pickle=False`` to + load data that is known not to contain object arrays for the + safer handling of untrusted sources. + + Parameters + ---------- + file : file-like object, string, or pathlib.Path + The file to read. File-like objects must support the + ``seek()`` and ``read()`` methods and must always + be opened in binary mode. Pickled files require that the + file-like object support the ``readline()`` method as well. + mmap_mode : {None, 'r+', 'r', 'w+', 'c'}, optional + If not None, then memory-map the file, using the given mode (see + `numpy.memmap` for a detailed description of the modes). A + memory-mapped array is kept on disk. However, it can be accessed + and sliced like any ndarray. Memory mapping is especially useful + for accessing small fragments of large files without reading the + entire file into memory. + allow_pickle : bool, optional + Allow loading pickled object arrays stored in npy files. Reasons for + disallowing pickles include security, as loading pickled data can + execute arbitrary code. If pickles are disallowed, loading object + arrays will fail. Default: False + + .. versionchanged:: 1.16.3 + Made default False in response to CVE-2019-6446. + + fix_imports : bool, optional + Only useful when loading Python 2 generated pickled files on Python 3, + which includes npy/npz files containing object arrays. If `fix_imports` + is True, pickle will try to map the old Python 2 names to the new names + used in Python 3. + encoding : str, optional + What encoding to use when reading Python 2 strings. Only useful when + loading Python 2 generated pickled files in Python 3, which includes + npy/npz files containing object arrays. Values other than 'latin1', + 'ASCII', and 'bytes' are not allowed, as they can corrupt numerical + data. Default: 'ASCII' + max_header_size : int, optional + Maximum allowed size of the header. Large headers may not be safe + to load securely and thus require explicitly passing a larger value. + See :py:func:`ast.literal_eval()` for details. + This option is ignored when `allow_pickle` is passed. In that case + the file is by definition trusted and the limit is unnecessary. + + Returns + ------- + result : array, tuple, dict, etc. + Data stored in the file. For ``.npz`` files, the returned instance + of NpzFile class must be closed to avoid leaking file descriptors. + + Raises + ------ + OSError + If the input file does not exist or cannot be read. + UnpicklingError + If ``allow_pickle=True``, but the file cannot be loaded as a pickle. + ValueError + The file contains an object array, but ``allow_pickle=False`` given. + EOFError + When calling ``np.load`` multiple times on the same file handle, + if all data has already been read + + See Also + -------- + save, savez, savez_compressed, loadtxt + memmap : Create a memory-map to an array stored in a file on disk. + lib.format.open_memmap : Create or load a memory-mapped ``.npy`` file. + + Notes + ----- + - If the file contains pickle data, then whatever object is stored + in the pickle is returned. + - If the file is a ``.npy`` file, then a single array is returned. + - If the file is a ``.npz`` file, then a dictionary-like object is + returned, containing ``{filename: array}`` key-value pairs, one for + each file in the archive. + - If the file is a ``.npz`` file, the returned value supports the + context manager protocol in a similar fashion to the open function:: + + with load('foo.npz') as data: + a = data['a'] + + The underlying file descriptor is closed when exiting the 'with' + block. + + Examples + -------- + Store data to disk, and load it again: + + >>> np.save('/tmp/123', np.array([[1, 2, 3], [4, 5, 6]])) + >>> np.load('/tmp/123.npy') + array([[1, 2, 3], + [4, 5, 6]]) + + Store compressed data to disk, and load it again: + + >>> a=np.array([[1, 2, 3], [4, 5, 6]]) + >>> b=np.array([1, 2]) + >>> np.savez('/tmp/123.npz', a=a, b=b) + >>> data = np.load('/tmp/123.npz') + >>> data['a'] + array([[1, 2, 3], + [4, 5, 6]]) + >>> data['b'] + array([1, 2]) + >>> data.close() + + Mem-map the stored array, and then access the second row + directly from disk: + + >>> X = np.load('/tmp/123.npy', mmap_mode='r') + >>> X[1, :] + memmap([4, 5, 6]) + + """ + if encoding not in ('ASCII', 'latin1', 'bytes'): + # The 'encoding' value for pickle also affects what encoding + # the serialized binary data of NumPy arrays is loaded + # in. Pickle does not pass on the encoding information to + # NumPy. The unpickling code in numpy.core.multiarray is + # written to assume that unicode data appearing where binary + # should be is in 'latin1'. 'bytes' is also safe, as is 'ASCII'. + # + # Other encoding values can corrupt binary data, and we + # purposefully disallow them. For the same reason, the errors= + # argument is not exposed, as values other than 'strict' + # result can similarly silently corrupt numerical data. + raise ValueError("encoding must be 'ASCII', 'latin1', or 'bytes'") + + pickle_kwargs = dict(encoding=encoding, fix_imports=fix_imports) + + with contextlib.ExitStack() as stack: + if hasattr(file, 'read'): + fid = file + own_fid = False + else: + fid = stack.enter_context(open(os_fspath(file), "rb")) + own_fid = True + + # Code to distinguish from NumPy binary files and pickles. + _ZIP_PREFIX = b'PK\x03\x04' + _ZIP_SUFFIX = b'PK\x05\x06' # empty zip files start with this + N = len(format.MAGIC_PREFIX) + magic = fid.read(N) + if not magic: + raise EOFError("No data left in file") + # If the file size is less than N, we need to make sure not + # to seek past the beginning of the file + fid.seek(-min(N, len(magic)), 1) # back-up + if magic.startswith(_ZIP_PREFIX) or magic.startswith(_ZIP_SUFFIX): + # zip-file (assume .npz) + # Potentially transfer file ownership to NpzFile + stack.pop_all() + ret = NpzFile(fid, own_fid=own_fid, allow_pickle=allow_pickle, + pickle_kwargs=pickle_kwargs, + max_header_size=max_header_size) + return ret + elif magic == format.MAGIC_PREFIX: + # .npy file + if mmap_mode: + if allow_pickle: + max_header_size = 2**64 + return format.open_memmap(file, mode=mmap_mode, + max_header_size=max_header_size) + else: + return format.read_array(fid, allow_pickle=allow_pickle, + pickle_kwargs=pickle_kwargs, + max_header_size=max_header_size) + else: + # Try a pickle + if not allow_pickle: + raise ValueError("Cannot load file containing pickled data " + "when allow_pickle=False") + try: + return pickle.load(fid, **pickle_kwargs) + except Exception as e: + raise pickle.UnpicklingError( + f"Failed to interpret file {file!r} as a pickle") from e + + +def _save_dispatcher(file, arr, allow_pickle=None, fix_imports=None): + return (arr,) + + +@array_function_dispatch(_save_dispatcher) +def save(file, arr, allow_pickle=True, fix_imports=True): + """ + Save an array to a binary file in NumPy ``.npy`` format. + + Parameters + ---------- + file : file, str, or pathlib.Path + File or filename to which the data is saved. If file is a file-object, + then the filename is unchanged. If file is a string or Path, a ``.npy`` + extension will be appended to the filename if it does not already + have one. + arr : array_like + Array data to be saved. + allow_pickle : bool, optional + Allow saving object arrays using Python pickles. Reasons for disallowing + pickles include security (loading pickled data can execute arbitrary + code) and portability (pickled objects may not be loadable on different + Python installations, for example if the stored objects require libraries + that are not available, and not all pickled data is compatible between + Python 2 and Python 3). + Default: True + fix_imports : bool, optional + Only useful in forcing objects in object arrays on Python 3 to be + pickled in a Python 2 compatible way. If `fix_imports` is True, pickle + will try to map the new Python 3 names to the old module names used in + Python 2, so that the pickle data stream is readable with Python 2. + + See Also + -------- + savez : Save several arrays into a ``.npz`` archive + savetxt, load + + Notes + ----- + For a description of the ``.npy`` format, see :py:mod:`numpy.lib.format`. + + Any data saved to the file is appended to the end of the file. + + Examples + -------- + >>> from tempfile import TemporaryFile + >>> outfile = TemporaryFile() + + >>> x = np.arange(10) + >>> np.save(outfile, x) + + >>> _ = outfile.seek(0) # Only needed here to simulate closing & reopening file + >>> np.load(outfile) + array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9]) + + + >>> with open('test.npy', 'wb') as f: + ... np.save(f, np.array([1, 2])) + ... np.save(f, np.array([1, 3])) + >>> with open('test.npy', 'rb') as f: + ... a = np.load(f) + ... b = np.load(f) + >>> print(a, b) + # [1 2] [1 3] + """ + if hasattr(file, 'write'): + file_ctx = contextlib.nullcontext(file) + else: + file = os_fspath(file) + if not file.endswith('.npy'): + file = file + '.npy' + file_ctx = open(file, "wb") + + with file_ctx as fid: + arr = np.asanyarray(arr) + format.write_array(fid, arr, allow_pickle=allow_pickle, + pickle_kwargs=dict(fix_imports=fix_imports)) + + +def _savez_dispatcher(file, *args, **kwds): + yield from args + yield from kwds.values() + + +@array_function_dispatch(_savez_dispatcher) +def savez(file, *args, **kwds): + """Save several arrays into a single file in uncompressed ``.npz`` format. + + Provide arrays as keyword arguments to store them under the + corresponding name in the output file: ``savez(fn, x=x, y=y)``. + + If arrays are specified as positional arguments, i.e., ``savez(fn, + x, y)``, their names will be `arr_0`, `arr_1`, etc. + + Parameters + ---------- + file : str or file + Either the filename (string) or an open file (file-like object) + where the data will be saved. If file is a string or a Path, the + ``.npz`` extension will be appended to the filename if it is not + already there. + args : Arguments, optional + Arrays to save to the file. Please use keyword arguments (see + `kwds` below) to assign names to arrays. Arrays specified as + args will be named "arr_0", "arr_1", and so on. + kwds : Keyword arguments, optional + Arrays to save to the file. Each array will be saved to the + output file with its corresponding keyword name. + + Returns + ------- + None + + See Also + -------- + save : Save a single array to a binary file in NumPy format. + savetxt : Save an array to a file as plain text. + savez_compressed : Save several arrays into a compressed ``.npz`` archive + + Notes + ----- + The ``.npz`` file format is a zipped archive of files named after the + variables they contain. The archive is not compressed and each file + in the archive contains one variable in ``.npy`` format. For a + description of the ``.npy`` format, see :py:mod:`numpy.lib.format`. + + When opening the saved ``.npz`` file with `load` a `NpzFile` object is + returned. This is a dictionary-like object which can be queried for + its list of arrays (with the ``.files`` attribute), and for the arrays + themselves. + + Keys passed in `kwds` are used as filenames inside the ZIP archive. + Therefore, keys should be valid filenames; e.g., avoid keys that begin with + ``/`` or contain ``.``. + + When naming variables with keyword arguments, it is not possible to name a + variable ``file``, as this would cause the ``file`` argument to be defined + twice in the call to ``savez``. + + Examples + -------- + >>> from tempfile import TemporaryFile + >>> outfile = TemporaryFile() + >>> x = np.arange(10) + >>> y = np.sin(x) + + Using `savez` with \\*args, the arrays are saved with default names. + + >>> np.savez(outfile, x, y) + >>> _ = outfile.seek(0) # Only needed here to simulate closing & reopening file + >>> npzfile = np.load(outfile) + >>> npzfile.files + ['arr_0', 'arr_1'] + >>> npzfile['arr_0'] + array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9]) + + Using `savez` with \\**kwds, the arrays are saved with the keyword names. + + >>> outfile = TemporaryFile() + >>> np.savez(outfile, x=x, y=y) + >>> _ = outfile.seek(0) + >>> npzfile = np.load(outfile) + >>> sorted(npzfile.files) + ['x', 'y'] + >>> npzfile['x'] + array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9]) + + """ + _savez(file, args, kwds, False) + + +def _savez_compressed_dispatcher(file, *args, **kwds): + yield from args + yield from kwds.values() + + +@array_function_dispatch(_savez_compressed_dispatcher) +def savez_compressed(file, *args, **kwds): + """ + Save several arrays into a single file in compressed ``.npz`` format. + + Provide arrays as keyword arguments to store them under the + corresponding name in the output file: ``savez(fn, x=x, y=y)``. + + If arrays are specified as positional arguments, i.e., ``savez(fn, + x, y)``, their names will be `arr_0`, `arr_1`, etc. + + Parameters + ---------- + file : str or file + Either the filename (string) or an open file (file-like object) + where the data will be saved. If file is a string or a Path, the + ``.npz`` extension will be appended to the filename if it is not + already there. + args : Arguments, optional + Arrays to save to the file. Please use keyword arguments (see + `kwds` below) to assign names to arrays. Arrays specified as + args will be named "arr_0", "arr_1", and so on. + kwds : Keyword arguments, optional + Arrays to save to the file. Each array will be saved to the + output file with its corresponding keyword name. + + Returns + ------- + None + + See Also + -------- + numpy.save : Save a single array to a binary file in NumPy format. + numpy.savetxt : Save an array to a file as plain text. + numpy.savez : Save several arrays into an uncompressed ``.npz`` file format + numpy.load : Load the files created by savez_compressed. + + Notes + ----- + The ``.npz`` file format is a zipped archive of files named after the + variables they contain. The archive is compressed with + ``zipfile.ZIP_DEFLATED`` and each file in the archive contains one variable + in ``.npy`` format. For a description of the ``.npy`` format, see + :py:mod:`numpy.lib.format`. + + + When opening the saved ``.npz`` file with `load` a `NpzFile` object is + returned. This is a dictionary-like object which can be queried for + its list of arrays (with the ``.files`` attribute), and for the arrays + themselves. + + Examples + -------- + >>> test_array = np.random.rand(3, 2) + >>> test_vector = np.random.rand(4) + >>> np.savez_compressed('/tmp/123', a=test_array, b=test_vector) + >>> loaded = np.load('/tmp/123.npz') + >>> print(np.array_equal(test_array, loaded['a'])) + True + >>> print(np.array_equal(test_vector, loaded['b'])) + True + + """ + _savez(file, args, kwds, True) + + +def _savez(file, args, kwds, compress, allow_pickle=True, pickle_kwargs=None): + # Import is postponed to here since zipfile depends on gzip, an optional + # component of the so-called standard library. + import zipfile + + if not hasattr(file, 'write'): + file = os_fspath(file) + if not file.endswith('.npz'): + file = file + '.npz' + + namedict = kwds + for i, val in enumerate(args): + key = 'arr_%d' % i + if key in namedict.keys(): + raise ValueError( + "Cannot use un-named variables and keyword %s" % key) + namedict[key] = val + + if compress: + compression = zipfile.ZIP_DEFLATED + else: + compression = zipfile.ZIP_STORED + + zipf = zipfile_factory(file, mode="w", compression=compression) + + for key, val in namedict.items(): + fname = key + '.npy' + val = np.asanyarray(val) + # always force zip64, gh-10776 + with zipf.open(fname, 'w', force_zip64=True) as fid: + format.write_array(fid, val, + allow_pickle=allow_pickle, + pickle_kwargs=pickle_kwargs) + + zipf.close() + + +def _ensure_ndmin_ndarray_check_param(ndmin): + """Just checks if the param ndmin is supported on + _ensure_ndmin_ndarray. It is intended to be used as + verification before running anything expensive. + e.g. loadtxt, genfromtxt + """ + # Check correctness of the values of `ndmin` + if ndmin not in [0, 1, 2]: + raise ValueError(f"Illegal value of ndmin keyword: {ndmin}") + +def _ensure_ndmin_ndarray(a, *, ndmin: int): + """This is a helper function of loadtxt and genfromtxt to ensure + proper minimum dimension as requested + + ndim : int. Supported values 1, 2, 3 + ^^ whenever this changes, keep in sync with + _ensure_ndmin_ndarray_check_param + """ + # Verify that the array has at least dimensions `ndmin`. + # Tweak the size and shape of the arrays - remove extraneous dimensions + if a.ndim > ndmin: + a = np.squeeze(a) + # and ensure we have the minimum number of dimensions asked for + # - has to be in this order for the odd case ndmin=1, a.squeeze().ndim=0 + if a.ndim < ndmin: + if ndmin == 1: + a = np.atleast_1d(a) + elif ndmin == 2: + a = np.atleast_2d(a).T + + return a + + +# amount of lines loadtxt reads in one chunk, can be overridden for testing +_loadtxt_chunksize = 50000 + + +def _check_nonneg_int(value, name="argument"): + try: + operator.index(value) + except TypeError: + raise TypeError(f"{name} must be an integer") from None + if value < 0: + raise ValueError(f"{name} must be nonnegative") + + +def _preprocess_comments(iterable, comments, encoding): + """ + Generator that consumes a line iterated iterable and strips out the + multiple (or multi-character) comments from lines. + This is a pre-processing step to achieve feature parity with loadtxt + (we assume that this feature is a nieche feature). + """ + for line in iterable: + if isinstance(line, bytes): + # Need to handle conversion here, or the splitting would fail + line = line.decode(encoding) + + for c in comments: + line = line.split(c, 1)[0] + + yield line + + +# The number of rows we read in one go if confronted with a parametric dtype +_loadtxt_chunksize = 50000 + + +def _read(fname, *, delimiter=',', comment='#', quote='"', + imaginary_unit='j', usecols=None, skiplines=0, + max_rows=None, converters=None, ndmin=None, unpack=False, + dtype=np.float64, encoding="bytes"): + r""" + Read a NumPy array from a text file. + + Parameters + ---------- + fname : str or file object + The filename or the file to be read. + delimiter : str, optional + Field delimiter of the fields in line of the file. + Default is a comma, ','. If None any sequence of whitespace is + considered a delimiter. + comment : str or sequence of str or None, optional + Character that begins a comment. All text from the comment + character to the end of the line is ignored. + Multiple comments or multiple-character comment strings are supported, + but may be slower and `quote` must be empty if used. + Use None to disable all use of comments. + quote : str or None, optional + Character that is used to quote string fields. Default is '"' + (a double quote). Use None to disable quote support. + imaginary_unit : str, optional + Character that represent the imaginay unit `sqrt(-1)`. + Default is 'j'. + usecols : array_like, optional + A one-dimensional array of integer column numbers. These are the + columns from the file to be included in the array. If this value + is not given, all the columns are used. + skiplines : int, optional + Number of lines to skip before interpreting the data in the file. + max_rows : int, optional + Maximum number of rows of data to read. Default is to read the + entire file. + converters : dict or callable, optional + A function to parse all columns strings into the desired value, or + a dictionary mapping column number to a parser function. + E.g. if column 0 is a date string: ``converters = {0: datestr2num}``. + Converters can also be used to provide a default value for missing + data, e.g. ``converters = lambda s: float(s.strip() or 0)`` will + convert empty fields to 0. + Default: None + ndmin : int, optional + Minimum dimension of the array returned. + Allowed values are 0, 1 or 2. Default is 0. + unpack : bool, optional + If True, the returned array is transposed, so that arguments may be + unpacked using ``x, y, z = read(...)``. When used with a structured + data-type, arrays are returned for each field. Default is False. + dtype : numpy data type + A NumPy dtype instance, can be a structured dtype to map to the + columns of the file. + encoding : str, optional + Encoding used to decode the inputfile. The special value 'bytes' + (the default) enables backwards-compatible behavior for `converters`, + ensuring that inputs to the converter functions are encoded + bytes objects. The special value 'bytes' has no additional effect if + ``converters=None``. If encoding is ``'bytes'`` or ``None``, the + default system encoding is used. + + Returns + ------- + ndarray + NumPy array. + + Examples + -------- + First we create a file for the example. + + >>> s1 = '1.0,2.0,3.0\n4.0,5.0,6.0\n' + >>> with open('example1.csv', 'w') as f: + ... f.write(s1) + >>> a1 = read_from_filename('example1.csv') + >>> a1 + array([[1., 2., 3.], + [4., 5., 6.]]) + + The second example has columns with different data types, so a + one-dimensional array with a structured data type is returned. + The tab character is used as the field delimiter. + + >>> s2 = '1.0\t10\talpha\n2.3\t25\tbeta\n4.5\t16\tgamma\n' + >>> with open('example2.tsv', 'w') as f: + ... f.write(s2) + >>> a2 = read_from_filename('example2.tsv', delimiter='\t') + >>> a2 + array([(1. , 10, b'alpha'), (2.3, 25, b'beta'), (4.5, 16, b'gamma')], + dtype=[('f0', '= 0: + max_rows -= chunk_size + if len(next_arr) < chunk_size: + # There was less data than requested, so we are done. + break + + # Need at least one chunk, but if empty, the last one may have + # the wrong shape. + if len(chunks) > 1 and len(chunks[-1]) == 0: + del chunks[-1] + if len(chunks) == 1: + arr = chunks[0] + else: + arr = np.concatenate(chunks, axis=0) + + # NOTE: ndmin works as advertised for structured dtypes, but normally + # these would return a 1D result plus the structured dimension, + # so ndmin=2 adds a third dimension even when no squeezing occurs. + # A `squeeze=False` could be a better solution (pandas uses squeeze). + arr = _ensure_ndmin_ndarray(arr, ndmin=ndmin) + + if arr.shape: + if arr.shape[0] == 0: + warnings.warn( + f'loadtxt: input contained no data: "{fname}"', + category=UserWarning, + stacklevel=3 + ) + + if unpack: + # Unpack structured dtypes if requested: + dt = arr.dtype + if dt.names is not None: + # For structured arrays, return an array for each field. + return [arr[field] for field in dt.names] + else: + return arr.T + else: + return arr + + +@set_array_function_like_doc +@set_module('numpy') +def loadtxt(fname, dtype=float, comments='#', delimiter=None, + converters=None, skiprows=0, usecols=None, unpack=False, + ndmin=0, encoding='bytes', max_rows=None, *, quotechar=None, + like=None): + r""" + Load data from a text file. + + Parameters + ---------- + fname : file, str, pathlib.Path, list of str, generator + File, filename, list, or generator to read. If the filename + extension is ``.gz`` or ``.bz2``, the file is first decompressed. Note + that generators must return bytes or strings. The strings + in a list or produced by a generator are treated as lines. + dtype : data-type, optional + Data-type of the resulting array; default: float. If this is a + structured data-type, the resulting array will be 1-dimensional, and + each row will be interpreted as an element of the array. In this + case, the number of columns used must match the number of fields in + the data-type. + comments : str or sequence of str or None, optional + The characters or list of characters used to indicate the start of a + comment. None implies no comments. For backwards compatibility, byte + strings will be decoded as 'latin1'. The default is '#'. + delimiter : str, optional + The character used to separate the values. For backwards compatibility, + byte strings will be decoded as 'latin1'. The default is whitespace. + + .. versionchanged:: 1.23.0 + Only single character delimiters are supported. Newline characters + cannot be used as the delimiter. + + converters : dict or callable, optional + Converter functions to customize value parsing. If `converters` is + callable, the function is applied to all columns, else it must be a + dict that maps column number to a parser function. + See examples for further details. + Default: None. + + .. versionchanged:: 1.23.0 + The ability to pass a single callable to be applied to all columns + was added. + + skiprows : int, optional + Skip the first `skiprows` lines, including comments; default: 0. + usecols : int or sequence, optional + Which columns to read, with 0 being the first. For example, + ``usecols = (1,4,5)`` will extract the 2nd, 5th and 6th columns. + The default, None, results in all columns being read. + + .. versionchanged:: 1.11.0 + When a single column has to be read it is possible to use + an integer instead of a tuple. E.g ``usecols = 3`` reads the + fourth column the same way as ``usecols = (3,)`` would. + unpack : bool, optional + If True, the returned array is transposed, so that arguments may be + unpacked using ``x, y, z = loadtxt(...)``. When used with a + structured data-type, arrays are returned for each field. + Default is False. + ndmin : int, optional + The returned array will have at least `ndmin` dimensions. + Otherwise mono-dimensional axes will be squeezed. + Legal values: 0 (default), 1 or 2. + + .. versionadded:: 1.6.0 + encoding : str, optional + Encoding used to decode the inputfile. Does not apply to input streams. + The special value 'bytes' enables backward compatibility workarounds + that ensures you receive byte arrays as results if possible and passes + 'latin1' encoded strings to converters. Override this value to receive + unicode arrays and pass strings as input to converters. If set to None + the system default is used. The default value is 'bytes'. + + .. versionadded:: 1.14.0 + max_rows : int, optional + Read `max_rows` rows of content after `skiprows` lines. The default is + to read all the rows. Note that empty rows containing no data such as + empty lines and comment lines are not counted towards `max_rows`, + while such lines are counted in `skiprows`. + + .. versionadded:: 1.16.0 + + .. versionchanged:: 1.23.0 + Lines containing no data, including comment lines (e.g., lines + starting with '#' or as specified via `comments`) are not counted + towards `max_rows`. + quotechar : unicode character or None, optional + The character used to denote the start and end of a quoted item. + Occurrences of the delimiter or comment characters are ignored within + a quoted item. The default value is ``quotechar=None``, which means + quoting support is disabled. + + If two consecutive instances of `quotechar` are found within a quoted + field, the first is treated as an escape character. See examples. + + .. versionadded:: 1.23.0 + ${ARRAY_FUNCTION_LIKE} + + .. versionadded:: 1.20.0 + + Returns + ------- + out : ndarray + Data read from the text file. + + See Also + -------- + load, fromstring, fromregex + genfromtxt : Load data with missing values handled as specified. + scipy.io.loadmat : reads MATLAB data files + + Notes + ----- + This function aims to be a fast reader for simply formatted files. The + `genfromtxt` function provides more sophisticated handling of, e.g., + lines with missing values. + + Each row in the input text file must have the same number of values to be + able to read all values. If all rows do not have same number of values, a + subset of up to n columns (where n is the least number of values present + in all rows) can be read by specifying the columns via `usecols`. + + .. versionadded:: 1.10.0 + + The strings produced by the Python float.hex method can be used as + input for floats. + + Examples + -------- + >>> from io import StringIO # StringIO behaves like a file object + >>> c = StringIO("0 1\n2 3") + >>> np.loadtxt(c) + array([[0., 1.], + [2., 3.]]) + + >>> d = StringIO("M 21 72\nF 35 58") + >>> np.loadtxt(d, dtype={'names': ('gender', 'age', 'weight'), + ... 'formats': ('S1', 'i4', 'f4')}) + array([(b'M', 21, 72.), (b'F', 35, 58.)], + dtype=[('gender', 'S1'), ('age', '>> c = StringIO("1,0,2\n3,0,4") + >>> x, y = np.loadtxt(c, delimiter=',', usecols=(0, 2), unpack=True) + >>> x + array([1., 3.]) + >>> y + array([2., 4.]) + + The `converters` argument is used to specify functions to preprocess the + text prior to parsing. `converters` can be a dictionary that maps + preprocessing functions to each column: + + >>> s = StringIO("1.618, 2.296\n3.141, 4.669\n") + >>> conv = { + ... 0: lambda x: np.floor(float(x)), # conversion fn for column 0 + ... 1: lambda x: np.ceil(float(x)), # conversion fn for column 1 + ... } + >>> np.loadtxt(s, delimiter=",", converters=conv) + array([[1., 3.], + [3., 5.]]) + + `converters` can be a callable instead of a dictionary, in which case it + is applied to all columns: + + >>> s = StringIO("0xDE 0xAD\n0xC0 0xDE") + >>> import functools + >>> conv = functools.partial(int, base=16) + >>> np.loadtxt(s, converters=conv) + array([[222., 173.], + [192., 222.]]) + + This example shows how `converters` can be used to convert a field + with a trailing minus sign into a negative number. + + >>> s = StringIO('10.01 31.25-\n19.22 64.31\n17.57- 63.94') + >>> def conv(fld): + ... return -float(fld[:-1]) if fld.endswith(b'-') else float(fld) + ... + >>> np.loadtxt(s, converters=conv) + array([[ 10.01, -31.25], + [ 19.22, 64.31], + [-17.57, 63.94]]) + + Using a callable as the converter can be particularly useful for handling + values with different formatting, e.g. floats with underscores: + + >>> s = StringIO("1 2.7 100_000") + >>> np.loadtxt(s, converters=float) + array([1.e+00, 2.7e+00, 1.e+05]) + + This idea can be extended to automatically handle values specified in + many different formats: + + >>> def conv(val): + ... try: + ... return float(val) + ... except ValueError: + ... return float.fromhex(val) + >>> s = StringIO("1, 2.5, 3_000, 0b4, 0x1.4000000000000p+2") + >>> np.loadtxt(s, delimiter=",", converters=conv, encoding=None) + array([1.0e+00, 2.5e+00, 3.0e+03, 1.8e+02, 5.0e+00]) + + Note that with the default ``encoding="bytes"``, the inputs to the + converter function are latin-1 encoded byte strings. To deactivate the + implicit encoding prior to conversion, use ``encoding=None`` + + >>> s = StringIO('10.01 31.25-\n19.22 64.31\n17.57- 63.94') + >>> conv = lambda x: -float(x[:-1]) if x.endswith('-') else float(x) + >>> np.loadtxt(s, converters=conv, encoding=None) + array([[ 10.01, -31.25], + [ 19.22, 64.31], + [-17.57, 63.94]]) + + Support for quoted fields is enabled with the `quotechar` parameter. + Comment and delimiter characters are ignored when they appear within a + quoted item delineated by `quotechar`: + + >>> s = StringIO('"alpha, #42", 10.0\n"beta, #64", 2.0\n') + >>> dtype = np.dtype([("label", "U12"), ("value", float)]) + >>> np.loadtxt(s, dtype=dtype, delimiter=",", quotechar='"') + array([('alpha, #42', 10.), ('beta, #64', 2.)], + dtype=[('label', '>> s = StringIO('"alpha, #42" 10.0\n"beta, #64" 2.0\n') + >>> dtype = np.dtype([("label", "U12"), ("value", float)]) + >>> np.loadtxt(s, dtype=dtype, delimiter=None, quotechar='"') + array([('alpha, #42', 10.), ('beta, #64', 2.)], + dtype=[('label', '>> s = StringIO('"Hello, my name is ""Monty""!"') + >>> np.loadtxt(s, dtype="U", delimiter=",", quotechar='"') + array('Hello, my name is "Monty"!', dtype='>> d = StringIO("1 2\n2 4\n3 9 12\n4 16 20") + >>> np.loadtxt(d, usecols=(0, 1)) + array([[ 1., 2.], + [ 2., 4.], + [ 3., 9.], + [ 4., 16.]]) + + """ + + if like is not None: + return _loadtxt_with_like( + like, fname, dtype=dtype, comments=comments, delimiter=delimiter, + converters=converters, skiprows=skiprows, usecols=usecols, + unpack=unpack, ndmin=ndmin, encoding=encoding, + max_rows=max_rows + ) + + if isinstance(delimiter, bytes): + delimiter.decode("latin1") + + if dtype is None: + dtype = np.float64 + + comment = comments + # Control character type conversions for Py3 convenience + if comment is not None: + if isinstance(comment, (str, bytes)): + comment = [comment] + comment = [ + x.decode('latin1') if isinstance(x, bytes) else x for x in comment] + if isinstance(delimiter, bytes): + delimiter = delimiter.decode('latin1') + + arr = _read(fname, dtype=dtype, comment=comment, delimiter=delimiter, + converters=converters, skiplines=skiprows, usecols=usecols, + unpack=unpack, ndmin=ndmin, encoding=encoding, + max_rows=max_rows, quote=quotechar) + + return arr + + +_loadtxt_with_like = array_function_dispatch()(loadtxt) + + +def _savetxt_dispatcher(fname, X, fmt=None, delimiter=None, newline=None, + header=None, footer=None, comments=None, + encoding=None): + return (X,) + + +@array_function_dispatch(_savetxt_dispatcher) +def savetxt(fname, X, fmt='%.18e', delimiter=' ', newline='\n', header='', + footer='', comments='# ', encoding=None): + """ + Save an array to a text file. + + Parameters + ---------- + fname : filename or file handle + If the filename ends in ``.gz``, the file is automatically saved in + compressed gzip format. `loadtxt` understands gzipped files + transparently. + X : 1D or 2D array_like + Data to be saved to a text file. + fmt : str or sequence of strs, optional + A single format (%10.5f), a sequence of formats, or a + multi-format string, e.g. 'Iteration %d -- %10.5f', in which + case `delimiter` is ignored. For complex `X`, the legal options + for `fmt` are: + + * a single specifier, `fmt='%.4e'`, resulting in numbers formatted + like `' (%s+%sj)' % (fmt, fmt)` + * a full string specifying every real and imaginary part, e.g. + `' %.4e %+.4ej %.4e %+.4ej %.4e %+.4ej'` for 3 columns + * a list of specifiers, one per column - in this case, the real + and imaginary part must have separate specifiers, + e.g. `['%.3e + %.3ej', '(%.15e%+.15ej)']` for 2 columns + delimiter : str, optional + String or character separating columns. + newline : str, optional + String or character separating lines. + + .. versionadded:: 1.5.0 + header : str, optional + String that will be written at the beginning of the file. + + .. versionadded:: 1.7.0 + footer : str, optional + String that will be written at the end of the file. + + .. versionadded:: 1.7.0 + comments : str, optional + String that will be prepended to the ``header`` and ``footer`` strings, + to mark them as comments. Default: '# ', as expected by e.g. + ``numpy.loadtxt``. + + .. versionadded:: 1.7.0 + encoding : {None, str}, optional + Encoding used to encode the outputfile. Does not apply to output + streams. If the encoding is something other than 'bytes' or 'latin1' + you will not be able to load the file in NumPy versions < 1.14. Default + is 'latin1'. + + .. versionadded:: 1.14.0 + + + See Also + -------- + save : Save an array to a binary file in NumPy ``.npy`` format + savez : Save several arrays into an uncompressed ``.npz`` archive + savez_compressed : Save several arrays into a compressed ``.npz`` archive + + Notes + ----- + Further explanation of the `fmt` parameter + (``%[flag]width[.precision]specifier``): + + flags: + ``-`` : left justify + + ``+`` : Forces to precede result with + or -. + + ``0`` : Left pad the number with zeros instead of space (see width). + + width: + Minimum number of characters to be printed. The value is not truncated + if it has more characters. + + precision: + - For integer specifiers (eg. ``d,i,o,x``), the minimum number of + digits. + - For ``e, E`` and ``f`` specifiers, the number of digits to print + after the decimal point. + - For ``g`` and ``G``, the maximum number of significant digits. + - For ``s``, the maximum number of characters. + + specifiers: + ``c`` : character + + ``d`` or ``i`` : signed decimal integer + + ``e`` or ``E`` : scientific notation with ``e`` or ``E``. + + ``f`` : decimal floating point + + ``g,G`` : use the shorter of ``e,E`` or ``f`` + + ``o`` : signed octal + + ``s`` : string of characters + + ``u`` : unsigned decimal integer + + ``x,X`` : unsigned hexadecimal integer + + This explanation of ``fmt`` is not complete, for an exhaustive + specification see [1]_. + + References + ---------- + .. [1] `Format Specification Mini-Language + `_, + Python Documentation. + + Examples + -------- + >>> x = y = z = np.arange(0.0,5.0,1.0) + >>> np.savetxt('test.out', x, delimiter=',') # X is an array + >>> np.savetxt('test.out', (x,y,z)) # x,y,z equal sized 1D arrays + >>> np.savetxt('test.out', x, fmt='%1.4e') # use exponential notation + + """ + + # Py3 conversions first + if isinstance(fmt, bytes): + fmt = asstr(fmt) + delimiter = asstr(delimiter) + + class WriteWrap: + """Convert to bytes on bytestream inputs. + + """ + def __init__(self, fh, encoding): + self.fh = fh + self.encoding = encoding + self.do_write = self.first_write + + def close(self): + self.fh.close() + + def write(self, v): + self.do_write(v) + + def write_bytes(self, v): + if isinstance(v, bytes): + self.fh.write(v) + else: + self.fh.write(v.encode(self.encoding)) + + def write_normal(self, v): + self.fh.write(asunicode(v)) + + def first_write(self, v): + try: + self.write_normal(v) + self.write = self.write_normal + except TypeError: + # input is probably a bytestream + self.write_bytes(v) + self.write = self.write_bytes + + own_fh = False + if isinstance(fname, os_PathLike): + fname = os_fspath(fname) + if _is_string_like(fname): + # datasource doesn't support creating a new file ... + open(fname, 'wt').close() + fh = np.lib._datasource.open(fname, 'wt', encoding=encoding) + own_fh = True + elif hasattr(fname, 'write'): + # wrap to handle byte output streams + fh = WriteWrap(fname, encoding or 'latin1') + else: + raise ValueError('fname must be a string or file handle') + + try: + X = np.asarray(X) + + # Handle 1-dimensional arrays + if X.ndim == 0 or X.ndim > 2: + raise ValueError( + "Expected 1D or 2D array, got %dD array instead" % X.ndim) + elif X.ndim == 1: + # Common case -- 1d array of numbers + if X.dtype.names is None: + X = np.atleast_2d(X).T + ncol = 1 + + # Complex dtype -- each field indicates a separate column + else: + ncol = len(X.dtype.names) + else: + ncol = X.shape[1] + + iscomplex_X = np.iscomplexobj(X) + # `fmt` can be a string with multiple insertion points or a + # list of formats. E.g. '%10.5f\t%10d' or ('%10.5f', '$10d') + if type(fmt) in (list, tuple): + if len(fmt) != ncol: + raise AttributeError('fmt has wrong shape. %s' % str(fmt)) + format = asstr(delimiter).join(map(asstr, fmt)) + elif isinstance(fmt, str): + n_fmt_chars = fmt.count('%') + error = ValueError('fmt has wrong number of %% formats: %s' % fmt) + if n_fmt_chars == 1: + if iscomplex_X: + fmt = [' (%s+%sj)' % (fmt, fmt), ] * ncol + else: + fmt = [fmt, ] * ncol + format = delimiter.join(fmt) + elif iscomplex_X and n_fmt_chars != (2 * ncol): + raise error + elif ((not iscomplex_X) and n_fmt_chars != ncol): + raise error + else: + format = fmt + else: + raise ValueError('invalid fmt: %r' % (fmt,)) + + if len(header) > 0: + header = header.replace('\n', '\n' + comments) + fh.write(comments + header + newline) + if iscomplex_X: + for row in X: + row2 = [] + for number in row: + row2.append(number.real) + row2.append(number.imag) + s = format % tuple(row2) + newline + fh.write(s.replace('+-', '-')) + else: + for row in X: + try: + v = format % tuple(row) + newline + except TypeError as e: + raise TypeError("Mismatch between array dtype ('%s') and " + "format specifier ('%s')" + % (str(X.dtype), format)) from e + fh.write(v) + + if len(footer) > 0: + footer = footer.replace('\n', '\n' + comments) + fh.write(comments + footer + newline) + finally: + if own_fh: + fh.close() + + +@set_module('numpy') +def fromregex(file, regexp, dtype, encoding=None): + r""" + Construct an array from a text file, using regular expression parsing. + + The returned array is always a structured array, and is constructed from + all matches of the regular expression in the file. Groups in the regular + expression are converted to fields of the structured array. + + Parameters + ---------- + file : path or file + Filename or file object to read. + + .. versionchanged:: 1.22.0 + Now accepts `os.PathLike` implementations. + regexp : str or regexp + Regular expression used to parse the file. + Groups in the regular expression correspond to fields in the dtype. + dtype : dtype or list of dtypes + Dtype for the structured array; must be a structured datatype. + encoding : str, optional + Encoding used to decode the inputfile. Does not apply to input streams. + + .. versionadded:: 1.14.0 + + Returns + ------- + output : ndarray + The output array, containing the part of the content of `file` that + was matched by `regexp`. `output` is always a structured array. + + Raises + ------ + TypeError + When `dtype` is not a valid dtype for a structured array. + + See Also + -------- + fromstring, loadtxt + + Notes + ----- + Dtypes for structured arrays can be specified in several forms, but all + forms specify at least the data type and field name. For details see + `basics.rec`. + + Examples + -------- + >>> from io import StringIO + >>> text = StringIO("1312 foo\n1534 bar\n444 qux") + + >>> regexp = r"(\d+)\s+(...)" # match [digits, whitespace, anything] + >>> output = np.fromregex(text, regexp, + ... [('num', np.int64), ('key', 'S3')]) + >>> output + array([(1312, b'foo'), (1534, b'bar'), ( 444, b'qux')], + dtype=[('num', '>> output['num'] + array([1312, 1534, 444]) + + """ + own_fh = False + if not hasattr(file, "read"): + file = os.fspath(file) + file = np.lib._datasource.open(file, 'rt', encoding=encoding) + own_fh = True + + try: + if not isinstance(dtype, np.dtype): + dtype = np.dtype(dtype) + if dtype.names is None: + raise TypeError('dtype must be a structured datatype.') + + content = file.read() + if isinstance(content, bytes) and isinstance(regexp, str): + regexp = asbytes(regexp) + elif isinstance(content, str) and isinstance(regexp, bytes): + regexp = asstr(regexp) + + if not hasattr(regexp, 'match'): + regexp = re.compile(regexp) + seq = regexp.findall(content) + if seq and not isinstance(seq[0], tuple): + # Only one group is in the regexp. + # Create the new array as a single data-type and then + # re-interpret as a single-field structured array. + newdtype = np.dtype(dtype[dtype.names[0]]) + output = np.array(seq, dtype=newdtype) + output.dtype = dtype + else: + output = np.array(seq, dtype=dtype) + + return output + finally: + if own_fh: + file.close() + + +#####-------------------------------------------------------------------------- +#---- --- ASCII functions --- +#####-------------------------------------------------------------------------- + + +@set_array_function_like_doc +@set_module('numpy') +def genfromtxt(fname, dtype=float, comments='#', delimiter=None, + skip_header=0, skip_footer=0, converters=None, + missing_values=None, filling_values=None, usecols=None, + names=None, excludelist=None, + deletechars=''.join(sorted(NameValidator.defaultdeletechars)), + replace_space='_', autostrip=False, case_sensitive=True, + defaultfmt="f%i", unpack=None, usemask=False, loose=True, + invalid_raise=True, max_rows=None, encoding='bytes', + *, ndmin=0, like=None): + """ + Load data from a text file, with missing values handled as specified. + + Each line past the first `skip_header` lines is split at the `delimiter` + character, and characters following the `comments` character are discarded. + + Parameters + ---------- + fname : file, str, pathlib.Path, list of str, generator + File, filename, list, or generator to read. If the filename + extension is ``.gz`` or ``.bz2``, the file is first decompressed. Note + that generators must return bytes or strings. The strings + in a list or produced by a generator are treated as lines. + dtype : dtype, optional + Data type of the resulting array. + If None, the dtypes will be determined by the contents of each + column, individually. + comments : str, optional + The character used to indicate the start of a comment. + All the characters occurring on a line after a comment are discarded. + delimiter : str, int, or sequence, optional + The string used to separate values. By default, any consecutive + whitespaces act as delimiter. An integer or sequence of integers + can also be provided as width(s) of each field. + skiprows : int, optional + `skiprows` was removed in numpy 1.10. Please use `skip_header` instead. + skip_header : int, optional + The number of lines to skip at the beginning of the file. + skip_footer : int, optional + The number of lines to skip at the end of the file. + converters : variable, optional + The set of functions that convert the data of a column to a value. + The converters can also be used to provide a default value + for missing data: ``converters = {3: lambda s: float(s or 0)}``. + missing : variable, optional + `missing` was removed in numpy 1.10. Please use `missing_values` + instead. + missing_values : variable, optional + The set of strings corresponding to missing data. + filling_values : variable, optional + The set of values to be used as default when the data are missing. + usecols : sequence, optional + Which columns to read, with 0 being the first. For example, + ``usecols = (1, 4, 5)`` will extract the 2nd, 5th and 6th columns. + names : {None, True, str, sequence}, optional + If `names` is True, the field names are read from the first line after + the first `skip_header` lines. This line can optionally be preceded + by a comment delimiter. If `names` is a sequence or a single-string of + comma-separated names, the names will be used to define the field names + in a structured dtype. If `names` is None, the names of the dtype + fields will be used, if any. + excludelist : sequence, optional + A list of names to exclude. This list is appended to the default list + ['return','file','print']. Excluded names are appended with an + underscore: for example, `file` would become `file_`. + deletechars : str, optional + A string combining invalid characters that must be deleted from the + names. + defaultfmt : str, optional + A format used to define default field names, such as "f%i" or "f_%02i". + autostrip : bool, optional + Whether to automatically strip white spaces from the variables. + replace_space : char, optional + Character(s) used in replacement of white spaces in the variable + names. By default, use a '_'. + case_sensitive : {True, False, 'upper', 'lower'}, optional + If True, field names are case sensitive. + If False or 'upper', field names are converted to upper case. + If 'lower', field names are converted to lower case. + unpack : bool, optional + If True, the returned array is transposed, so that arguments may be + unpacked using ``x, y, z = genfromtxt(...)``. When used with a + structured data-type, arrays are returned for each field. + Default is False. + usemask : bool, optional + If True, return a masked array. + If False, return a regular array. + loose : bool, optional + If True, do not raise errors for invalid values. + invalid_raise : bool, optional + If True, an exception is raised if an inconsistency is detected in the + number of columns. + If False, a warning is emitted and the offending lines are skipped. + max_rows : int, optional + The maximum number of rows to read. Must not be used with skip_footer + at the same time. If given, the value must be at least 1. Default is + to read the entire file. + + .. versionadded:: 1.10.0 + encoding : str, optional + Encoding used to decode the inputfile. Does not apply when `fname` is + a file object. The special value 'bytes' enables backward compatibility + workarounds that ensure that you receive byte arrays when possible + and passes latin1 encoded strings to converters. Override this value to + receive unicode arrays and pass strings as input to converters. If set + to None the system default is used. The default value is 'bytes'. + + .. versionadded:: 1.14.0 + ndmin : int, optional + Same parameter as `loadtxt` + + .. versionadded:: 1.23.0 + ${ARRAY_FUNCTION_LIKE} + + .. versionadded:: 1.20.0 + + Returns + ------- + out : ndarray + Data read from the text file. If `usemask` is True, this is a + masked array. + + See Also + -------- + numpy.loadtxt : equivalent function when no data is missing. + + Notes + ----- + * When spaces are used as delimiters, or when no delimiter has been given + as input, there should not be any missing data between two fields. + * When the variables are named (either by a flexible dtype or with `names`), + there must not be any header in the file (else a ValueError + exception is raised). + * Individual values are not stripped of spaces by default. + When using a custom converter, make sure the function does remove spaces. + + References + ---------- + .. [1] NumPy User Guide, section `I/O with NumPy + `_. + + Examples + -------- + >>> from io import StringIO + >>> import numpy as np + + Comma delimited file with mixed dtype + + >>> s = StringIO(u"1,1.3,abcde") + >>> data = np.genfromtxt(s, dtype=[('myint','i8'),('myfloat','f8'), + ... ('mystring','S5')], delimiter=",") + >>> data + array((1, 1.3, b'abcde'), + dtype=[('myint', '>> _ = s.seek(0) # needed for StringIO example only + >>> data = np.genfromtxt(s, dtype=None, + ... names = ['myint','myfloat','mystring'], delimiter=",") + >>> data + array((1, 1.3, b'abcde'), + dtype=[('myint', '>> _ = s.seek(0) + >>> data = np.genfromtxt(s, dtype="i8,f8,S5", + ... names=['myint','myfloat','mystring'], delimiter=",") + >>> data + array((1, 1.3, b'abcde'), + dtype=[('myint', '>> s = StringIO(u"11.3abcde") + >>> data = np.genfromtxt(s, dtype=None, names=['intvar','fltvar','strvar'], + ... delimiter=[1,3,5]) + >>> data + array((1, 1.3, b'abcde'), + dtype=[('intvar', '>> f = StringIO(''' + ... text,# of chars + ... hello world,11 + ... numpy,5''') + >>> np.genfromtxt(f, dtype='S12,S12', delimiter=',') + array([(b'text', b''), (b'hello world', b'11'), (b'numpy', b'5')], + dtype=[('f0', 'S12'), ('f1', 'S12')]) + + """ + + if like is not None: + return _genfromtxt_with_like( + like, fname, dtype=dtype, comments=comments, delimiter=delimiter, + skip_header=skip_header, skip_footer=skip_footer, + converters=converters, missing_values=missing_values, + filling_values=filling_values, usecols=usecols, names=names, + excludelist=excludelist, deletechars=deletechars, + replace_space=replace_space, autostrip=autostrip, + case_sensitive=case_sensitive, defaultfmt=defaultfmt, + unpack=unpack, usemask=usemask, loose=loose, + invalid_raise=invalid_raise, max_rows=max_rows, encoding=encoding, + ndmin=ndmin, + ) + + _ensure_ndmin_ndarray_check_param(ndmin) + + if max_rows is not None: + if skip_footer: + raise ValueError( + "The keywords 'skip_footer' and 'max_rows' can not be " + "specified at the same time.") + if max_rows < 1: + raise ValueError("'max_rows' must be at least 1.") + + if usemask: + from numpy.ma import MaskedArray, make_mask_descr + # Check the input dictionary of converters + user_converters = converters or {} + if not isinstance(user_converters, dict): + raise TypeError( + "The input argument 'converter' should be a valid dictionary " + "(got '%s' instead)" % type(user_converters)) + + if encoding == 'bytes': + encoding = None + byte_converters = True + else: + byte_converters = False + + # Initialize the filehandle, the LineSplitter and the NameValidator + if isinstance(fname, os_PathLike): + fname = os_fspath(fname) + if isinstance(fname, str): + fid = np.lib._datasource.open(fname, 'rt', encoding=encoding) + fid_ctx = contextlib.closing(fid) + else: + fid = fname + fid_ctx = contextlib.nullcontext(fid) + try: + fhd = iter(fid) + except TypeError as e: + raise TypeError( + "fname must be a string, a filehandle, a sequence of strings,\n" + f"or an iterator of strings. Got {type(fname)} instead." + ) from e + with fid_ctx: + split_line = LineSplitter(delimiter=delimiter, comments=comments, + autostrip=autostrip, encoding=encoding) + validate_names = NameValidator(excludelist=excludelist, + deletechars=deletechars, + case_sensitive=case_sensitive, + replace_space=replace_space) + + # Skip the first `skip_header` rows + try: + for i in range(skip_header): + next(fhd) + + # Keep on until we find the first valid values + first_values = None + + while not first_values: + first_line = _decode_line(next(fhd), encoding) + if (names is True) and (comments is not None): + if comments in first_line: + first_line = ( + ''.join(first_line.split(comments)[1:])) + first_values = split_line(first_line) + except StopIteration: + # return an empty array if the datafile is empty + first_line = '' + first_values = [] + warnings.warn('genfromtxt: Empty input file: "%s"' % fname, stacklevel=2) + + # Should we take the first values as names ? + if names is True: + fval = first_values[0].strip() + if comments is not None: + if fval in comments: + del first_values[0] + + # Check the columns to use: make sure `usecols` is a list + if usecols is not None: + try: + usecols = [_.strip() for _ in usecols.split(",")] + except AttributeError: + try: + usecols = list(usecols) + except TypeError: + usecols = [usecols, ] + nbcols = len(usecols or first_values) + + # Check the names and overwrite the dtype.names if needed + if names is True: + names = validate_names([str(_.strip()) for _ in first_values]) + first_line = '' + elif _is_string_like(names): + names = validate_names([_.strip() for _ in names.split(',')]) + elif names: + names = validate_names(names) + # Get the dtype + if dtype is not None: + dtype = easy_dtype(dtype, defaultfmt=defaultfmt, names=names, + excludelist=excludelist, + deletechars=deletechars, + case_sensitive=case_sensitive, + replace_space=replace_space) + # Make sure the names is a list (for 2.5) + if names is not None: + names = list(names) + + if usecols: + for (i, current) in enumerate(usecols): + # if usecols is a list of names, convert to a list of indices + if _is_string_like(current): + usecols[i] = names.index(current) + elif current < 0: + usecols[i] = current + len(first_values) + # If the dtype is not None, make sure we update it + if (dtype is not None) and (len(dtype) > nbcols): + descr = dtype.descr + dtype = np.dtype([descr[_] for _ in usecols]) + names = list(dtype.names) + # If `names` is not None, update the names + elif (names is not None) and (len(names) > nbcols): + names = [names[_] for _ in usecols] + elif (names is not None) and (dtype is not None): + names = list(dtype.names) + + # Process the missing values ............................... + # Rename missing_values for convenience + user_missing_values = missing_values or () + if isinstance(user_missing_values, bytes): + user_missing_values = user_missing_values.decode('latin1') + + # Define the list of missing_values (one column: one list) + missing_values = [list(['']) for _ in range(nbcols)] + + # We have a dictionary: process it field by field + if isinstance(user_missing_values, dict): + # Loop on the items + for (key, val) in user_missing_values.items(): + # Is the key a string ? + if _is_string_like(key): + try: + # Transform it into an integer + key = names.index(key) + except ValueError: + # We couldn't find it: the name must have been dropped + continue + # Redefine the key as needed if it's a column number + if usecols: + try: + key = usecols.index(key) + except ValueError: + pass + # Transform the value as a list of string + if isinstance(val, (list, tuple)): + val = [str(_) for _ in val] + else: + val = [str(val), ] + # Add the value(s) to the current list of missing + if key is None: + # None acts as default + for miss in missing_values: + miss.extend(val) + else: + missing_values[key].extend(val) + # We have a sequence : each item matches a column + elif isinstance(user_missing_values, (list, tuple)): + for (value, entry) in zip(user_missing_values, missing_values): + value = str(value) + if value not in entry: + entry.append(value) + # We have a string : apply it to all entries + elif isinstance(user_missing_values, str): + user_value = user_missing_values.split(",") + for entry in missing_values: + entry.extend(user_value) + # We have something else: apply it to all entries + else: + for entry in missing_values: + entry.extend([str(user_missing_values)]) + + # Process the filling_values ............................... + # Rename the input for convenience + user_filling_values = filling_values + if user_filling_values is None: + user_filling_values = [] + # Define the default + filling_values = [None] * nbcols + # We have a dictionary : update each entry individually + if isinstance(user_filling_values, dict): + for (key, val) in user_filling_values.items(): + if _is_string_like(key): + try: + # Transform it into an integer + key = names.index(key) + except ValueError: + # We couldn't find it: the name must have been dropped, + continue + # Redefine the key if it's a column number and usecols is defined + if usecols: + try: + key = usecols.index(key) + except ValueError: + pass + # Add the value to the list + filling_values[key] = val + # We have a sequence : update on a one-to-one basis + elif isinstance(user_filling_values, (list, tuple)): + n = len(user_filling_values) + if (n <= nbcols): + filling_values[:n] = user_filling_values + else: + filling_values = user_filling_values[:nbcols] + # We have something else : use it for all entries + else: + filling_values = [user_filling_values] * nbcols + + # Initialize the converters ................................ + if dtype is None: + # Note: we can't use a [...]*nbcols, as we would have 3 times the same + # ... converter, instead of 3 different converters. + converters = [StringConverter(None, missing_values=miss, default=fill) + for (miss, fill) in zip(missing_values, filling_values)] + else: + dtype_flat = flatten_dtype(dtype, flatten_base=True) + # Initialize the converters + if len(dtype_flat) > 1: + # Flexible type : get a converter from each dtype + zipit = zip(dtype_flat, missing_values, filling_values) + converters = [StringConverter(dt, locked=True, + missing_values=miss, default=fill) + for (dt, miss, fill) in zipit] + else: + # Set to a default converter (but w/ different missing values) + zipit = zip(missing_values, filling_values) + converters = [StringConverter(dtype, locked=True, + missing_values=miss, default=fill) + for (miss, fill) in zipit] + # Update the converters to use the user-defined ones + uc_update = [] + for (j, conv) in user_converters.items(): + # If the converter is specified by column names, use the index instead + if _is_string_like(j): + try: + j = names.index(j) + i = j + except ValueError: + continue + elif usecols: + try: + i = usecols.index(j) + except ValueError: + # Unused converter specified + continue + else: + i = j + # Find the value to test - first_line is not filtered by usecols: + if len(first_line): + testing_value = first_values[j] + else: + testing_value = None + if conv is bytes: + user_conv = asbytes + elif byte_converters: + # converters may use decode to workaround numpy's old behaviour, + # so encode the string again before passing to the user converter + def tobytes_first(x, conv): + if type(x) is bytes: + return conv(x) + return conv(x.encode("latin1")) + user_conv = functools.partial(tobytes_first, conv=conv) + else: + user_conv = conv + converters[i].update(user_conv, locked=True, + testing_value=testing_value, + default=filling_values[i], + missing_values=missing_values[i],) + uc_update.append((i, user_conv)) + # Make sure we have the corrected keys in user_converters... + user_converters.update(uc_update) + + # Fixme: possible error as following variable never used. + # miss_chars = [_.missing_values for _ in converters] + + # Initialize the output lists ... + # ... rows + rows = [] + append_to_rows = rows.append + # ... masks + if usemask: + masks = [] + append_to_masks = masks.append + # ... invalid + invalid = [] + append_to_invalid = invalid.append + + # Parse each line + for (i, line) in enumerate(itertools.chain([first_line, ], fhd)): + values = split_line(line) + nbvalues = len(values) + # Skip an empty line + if nbvalues == 0: + continue + if usecols: + # Select only the columns we need + try: + values = [values[_] for _ in usecols] + except IndexError: + append_to_invalid((i + skip_header + 1, nbvalues)) + continue + elif nbvalues != nbcols: + append_to_invalid((i + skip_header + 1, nbvalues)) + continue + # Store the values + append_to_rows(tuple(values)) + if usemask: + append_to_masks(tuple([v.strip() in m + for (v, m) in zip(values, + missing_values)])) + if len(rows) == max_rows: + break + + # Upgrade the converters (if needed) + if dtype is None: + for (i, converter) in enumerate(converters): + current_column = [itemgetter(i)(_m) for _m in rows] + try: + converter.iterupgrade(current_column) + except ConverterLockError: + errmsg = "Converter #%i is locked and cannot be upgraded: " % i + current_column = map(itemgetter(i), rows) + for (j, value) in enumerate(current_column): + try: + converter.upgrade(value) + except (ConverterError, ValueError): + errmsg += "(occurred line #%i for value '%s')" + errmsg %= (j + 1 + skip_header, value) + raise ConverterError(errmsg) + + # Check that we don't have invalid values + nbinvalid = len(invalid) + if nbinvalid > 0: + nbrows = len(rows) + nbinvalid - skip_footer + # Construct the error message + template = " Line #%%i (got %%i columns instead of %i)" % nbcols + if skip_footer > 0: + nbinvalid_skipped = len([_ for _ in invalid + if _[0] > nbrows + skip_header]) + invalid = invalid[:nbinvalid - nbinvalid_skipped] + skip_footer -= nbinvalid_skipped +# +# nbrows -= skip_footer +# errmsg = [template % (i, nb) +# for (i, nb) in invalid if i < nbrows] +# else: + errmsg = [template % (i, nb) + for (i, nb) in invalid] + if len(errmsg): + errmsg.insert(0, "Some errors were detected !") + errmsg = "\n".join(errmsg) + # Raise an exception ? + if invalid_raise: + raise ValueError(errmsg) + # Issue a warning ? + else: + warnings.warn(errmsg, ConversionWarning, stacklevel=2) + + # Strip the last skip_footer data + if skip_footer > 0: + rows = rows[:-skip_footer] + if usemask: + masks = masks[:-skip_footer] + + # Convert each value according to the converter: + # We want to modify the list in place to avoid creating a new one... + if loose: + rows = list( + zip(*[[conv._loose_call(_r) for _r in map(itemgetter(i), rows)] + for (i, conv) in enumerate(converters)])) + else: + rows = list( + zip(*[[conv._strict_call(_r) for _r in map(itemgetter(i), rows)] + for (i, conv) in enumerate(converters)])) + + # Reset the dtype + data = rows + if dtype is None: + # Get the dtypes from the types of the converters + column_types = [conv.type for conv in converters] + # Find the columns with strings... + strcolidx = [i for (i, v) in enumerate(column_types) + if v == np.str_] + + if byte_converters and strcolidx: + # convert strings back to bytes for backward compatibility + warnings.warn( + "Reading unicode strings without specifying the encoding " + "argument is deprecated. Set the encoding, use None for the " + "system default.", + np.VisibleDeprecationWarning, stacklevel=2) + def encode_unicode_cols(row_tup): + row = list(row_tup) + for i in strcolidx: + row[i] = row[i].encode('latin1') + return tuple(row) + + try: + data = [encode_unicode_cols(r) for r in data] + except UnicodeEncodeError: + pass + else: + for i in strcolidx: + column_types[i] = np.bytes_ + + # Update string types to be the right length + sized_column_types = column_types[:] + for i, col_type in enumerate(column_types): + if np.issubdtype(col_type, np.character): + n_chars = max(len(row[i]) for row in data) + sized_column_types[i] = (col_type, n_chars) + + if names is None: + # If the dtype is uniform (before sizing strings) + base = { + c_type + for c, c_type in zip(converters, column_types) + if c._checked} + if len(base) == 1: + uniform_type, = base + (ddtype, mdtype) = (uniform_type, bool) + else: + ddtype = [(defaultfmt % i, dt) + for (i, dt) in enumerate(sized_column_types)] + if usemask: + mdtype = [(defaultfmt % i, bool) + for (i, dt) in enumerate(sized_column_types)] + else: + ddtype = list(zip(names, sized_column_types)) + mdtype = list(zip(names, [bool] * len(sized_column_types))) + output = np.array(data, dtype=ddtype) + if usemask: + outputmask = np.array(masks, dtype=mdtype) + else: + # Overwrite the initial dtype names if needed + if names and dtype.names is not None: + dtype.names = names + # Case 1. We have a structured type + if len(dtype_flat) > 1: + # Nested dtype, eg [('a', int), ('b', [('b0', int), ('b1', 'f4')])] + # First, create the array using a flattened dtype: + # [('a', int), ('b1', int), ('b2', float)] + # Then, view the array using the specified dtype. + if 'O' in (_.char for _ in dtype_flat): + if has_nested_fields(dtype): + raise NotImplementedError( + "Nested fields involving objects are not supported...") + else: + output = np.array(data, dtype=dtype) + else: + rows = np.array(data, dtype=[('', _) for _ in dtype_flat]) + output = rows.view(dtype) + # Now, process the rowmasks the same way + if usemask: + rowmasks = np.array( + masks, dtype=np.dtype([('', bool) for t in dtype_flat])) + # Construct the new dtype + mdtype = make_mask_descr(dtype) + outputmask = rowmasks.view(mdtype) + # Case #2. We have a basic dtype + else: + # We used some user-defined converters + if user_converters: + ishomogeneous = True + descr = [] + for i, ttype in enumerate([conv.type for conv in converters]): + # Keep the dtype of the current converter + if i in user_converters: + ishomogeneous &= (ttype == dtype.type) + if np.issubdtype(ttype, np.character): + ttype = (ttype, max(len(row[i]) for row in data)) + descr.append(('', ttype)) + else: + descr.append(('', dtype)) + # So we changed the dtype ? + if not ishomogeneous: + # We have more than one field + if len(descr) > 1: + dtype = np.dtype(descr) + # We have only one field: drop the name if not needed. + else: + dtype = np.dtype(ttype) + # + output = np.array(data, dtype) + if usemask: + if dtype.names is not None: + mdtype = [(_, bool) for _ in dtype.names] + else: + mdtype = bool + outputmask = np.array(masks, dtype=mdtype) + # Try to take care of the missing data we missed + names = output.dtype.names + if usemask and names: + for (name, conv) in zip(names, converters): + missing_values = [conv(_) for _ in conv.missing_values + if _ != ''] + for mval in missing_values: + outputmask[name] |= (output[name] == mval) + # Construct the final array + if usemask: + output = output.view(MaskedArray) + output._mask = outputmask + + output = _ensure_ndmin_ndarray(output, ndmin=ndmin) + + if unpack: + if names is None: + return output.T + elif len(names) == 1: + # squeeze single-name dtypes too + return output[names[0]] + else: + # For structured arrays with multiple fields, + # return an array for each field. + return [output[field] for field in names] + return output + + +_genfromtxt_with_like = array_function_dispatch()(genfromtxt) + + +def recfromtxt(fname, **kwargs): + """ + Load ASCII data from a file and return it in a record array. + + If ``usemask=False`` a standard `recarray` is returned, + if ``usemask=True`` a MaskedRecords array is returned. + + Parameters + ---------- + fname, kwargs : For a description of input parameters, see `genfromtxt`. + + See Also + -------- + numpy.genfromtxt : generic function + + Notes + ----- + By default, `dtype` is None, which means that the data-type of the output + array will be determined from the data. + + """ + kwargs.setdefault("dtype", None) + usemask = kwargs.get('usemask', False) + output = genfromtxt(fname, **kwargs) + if usemask: + from numpy.ma.mrecords import MaskedRecords + output = output.view(MaskedRecords) + else: + output = output.view(np.recarray) + return output + + +def recfromcsv(fname, **kwargs): + """ + Load ASCII data stored in a comma-separated file. + + The returned array is a record array (if ``usemask=False``, see + `recarray`) or a masked record array (if ``usemask=True``, + see `ma.mrecords.MaskedRecords`). + + Parameters + ---------- + fname, kwargs : For a description of input parameters, see `genfromtxt`. + + See Also + -------- + numpy.genfromtxt : generic function to load ASCII data. + + Notes + ----- + By default, `dtype` is None, which means that the data-type of the output + array will be determined from the data. + + """ + # Set default kwargs for genfromtxt as relevant to csv import. + kwargs.setdefault("case_sensitive", "lower") + kwargs.setdefault("names", True) + kwargs.setdefault("delimiter", ",") + kwargs.setdefault("dtype", None) + output = genfromtxt(fname, **kwargs) + + usemask = kwargs.get("usemask", False) + if usemask: + from numpy.ma.mrecords import MaskedRecords + output = output.view(MaskedRecords) + else: + output = output.view(np.recarray) + return output diff --git a/lib/python3.12/site-packages/numpy/lib/npyio.pyi b/lib/python3.12/site-packages/numpy/lib/npyio.pyi new file mode 100644 index 0000000000000000000000000000000000000000..ef0f2a5f177f8d6726795c7af51ada2b6d97243c --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/npyio.pyi @@ -0,0 +1,330 @@ +import os +import sys +import zipfile +import types +from re import Pattern +from collections.abc import Collection, Mapping, Iterator, Sequence, Callable, Iterable +from typing import ( + Literal as L, + Any, + TypeVar, + Generic, + IO, + overload, + Protocol, +) + +from numpy import ( + DataSource as DataSource, + ndarray, + recarray, + dtype, + generic, + float64, + void, + record, +) + +from numpy.ma.mrecords import MaskedRecords +from numpy._typing import ( + ArrayLike, + DTypeLike, + NDArray, + _DTypeLike, + _SupportsArrayFunc, +) + +from numpy.core.multiarray import ( + packbits as packbits, + unpackbits as unpackbits, +) + +_T = TypeVar("_T") +_T_contra = TypeVar("_T_contra", contravariant=True) +_T_co = TypeVar("_T_co", covariant=True) +_SCT = TypeVar("_SCT", bound=generic) +_CharType_co = TypeVar("_CharType_co", str, bytes, covariant=True) +_CharType_contra = TypeVar("_CharType_contra", str, bytes, contravariant=True) + +class _SupportsGetItem(Protocol[_T_contra, _T_co]): + def __getitem__(self, key: _T_contra, /) -> _T_co: ... + +class _SupportsRead(Protocol[_CharType_co]): + def read(self) -> _CharType_co: ... + +class _SupportsReadSeek(Protocol[_CharType_co]): + def read(self, n: int, /) -> _CharType_co: ... + def seek(self, offset: int, whence: int, /) -> object: ... + +class _SupportsWrite(Protocol[_CharType_contra]): + def write(self, s: _CharType_contra, /) -> object: ... + +__all__: list[str] + +class BagObj(Generic[_T_co]): + def __init__(self, obj: _SupportsGetItem[str, _T_co]) -> None: ... + def __getattribute__(self, key: str) -> _T_co: ... + def __dir__(self) -> list[str]: ... + +class NpzFile(Mapping[str, NDArray[Any]]): + zip: zipfile.ZipFile + fid: None | IO[str] + files: list[str] + allow_pickle: bool + pickle_kwargs: None | Mapping[str, Any] + _MAX_REPR_ARRAY_COUNT: int + # Represent `f` as a mutable property so we can access the type of `self` + @property + def f(self: _T) -> BagObj[_T]: ... + @f.setter + def f(self: _T, value: BagObj[_T]) -> None: ... + def __init__( + self, + fid: IO[str], + own_fid: bool = ..., + allow_pickle: bool = ..., + pickle_kwargs: None | Mapping[str, Any] = ..., + ) -> None: ... + def __enter__(self: _T) -> _T: ... + def __exit__( + self, + exc_type: None | type[BaseException], + exc_value: None | BaseException, + traceback: None | types.TracebackType, + /, + ) -> None: ... + def close(self) -> None: ... + def __del__(self) -> None: ... + def __iter__(self) -> Iterator[str]: ... + def __len__(self) -> int: ... + def __getitem__(self, key: str) -> NDArray[Any]: ... + def __contains__(self, key: str) -> bool: ... + def __repr__(self) -> str: ... + +# NOTE: Returns a `NpzFile` if file is a zip file; +# returns an `ndarray`/`memmap` otherwise +def load( + file: str | bytes | os.PathLike[Any] | _SupportsReadSeek[bytes], + mmap_mode: L[None, "r+", "r", "w+", "c"] = ..., + allow_pickle: bool = ..., + fix_imports: bool = ..., + encoding: L["ASCII", "latin1", "bytes"] = ..., +) -> Any: ... + +def save( + file: str | os.PathLike[str] | _SupportsWrite[bytes], + arr: ArrayLike, + allow_pickle: bool = ..., + fix_imports: bool = ..., +) -> None: ... + +def savez( + file: str | os.PathLike[str] | _SupportsWrite[bytes], + *args: ArrayLike, + **kwds: ArrayLike, +) -> None: ... + +def savez_compressed( + file: str | os.PathLike[str] | _SupportsWrite[bytes], + *args: ArrayLike, + **kwds: ArrayLike, +) -> None: ... + +# File-like objects only have to implement `__iter__` and, +# optionally, `encoding` +@overload +def loadtxt( + fname: str | os.PathLike[str] | Iterable[str] | Iterable[bytes], + dtype: None = ..., + comments: None | str | Sequence[str] = ..., + delimiter: None | str = ..., + converters: None | Mapping[int | str, Callable[[str], Any]] = ..., + skiprows: int = ..., + usecols: int | Sequence[int] = ..., + unpack: bool = ..., + ndmin: L[0, 1, 2] = ..., + encoding: None | str = ..., + max_rows: None | int = ..., + *, + quotechar: None | str = ..., + like: None | _SupportsArrayFunc = ... +) -> NDArray[float64]: ... +@overload +def loadtxt( + fname: str | os.PathLike[str] | Iterable[str] | Iterable[bytes], + dtype: _DTypeLike[_SCT], + comments: None | str | Sequence[str] = ..., + delimiter: None | str = ..., + converters: None | Mapping[int | str, Callable[[str], Any]] = ..., + skiprows: int = ..., + usecols: int | Sequence[int] = ..., + unpack: bool = ..., + ndmin: L[0, 1, 2] = ..., + encoding: None | str = ..., + max_rows: None | int = ..., + *, + quotechar: None | str = ..., + like: None | _SupportsArrayFunc = ... +) -> NDArray[_SCT]: ... +@overload +def loadtxt( + fname: str | os.PathLike[str] | Iterable[str] | Iterable[bytes], + dtype: DTypeLike, + comments: None | str | Sequence[str] = ..., + delimiter: None | str = ..., + converters: None | Mapping[int | str, Callable[[str], Any]] = ..., + skiprows: int = ..., + usecols: int | Sequence[int] = ..., + unpack: bool = ..., + ndmin: L[0, 1, 2] = ..., + encoding: None | str = ..., + max_rows: None | int = ..., + *, + quotechar: None | str = ..., + like: None | _SupportsArrayFunc = ... +) -> NDArray[Any]: ... + +def savetxt( + fname: str | os.PathLike[str] | _SupportsWrite[str] | _SupportsWrite[bytes], + X: ArrayLike, + fmt: str | Sequence[str] = ..., + delimiter: str = ..., + newline: str = ..., + header: str = ..., + footer: str = ..., + comments: str = ..., + encoding: None | str = ..., +) -> None: ... + +@overload +def fromregex( + file: str | os.PathLike[str] | _SupportsRead[str] | _SupportsRead[bytes], + regexp: str | bytes | Pattern[Any], + dtype: _DTypeLike[_SCT], + encoding: None | str = ... +) -> NDArray[_SCT]: ... +@overload +def fromregex( + file: str | os.PathLike[str] | _SupportsRead[str] | _SupportsRead[bytes], + regexp: str | bytes | Pattern[Any], + dtype: DTypeLike, + encoding: None | str = ... +) -> NDArray[Any]: ... + +@overload +def genfromtxt( + fname: str | os.PathLike[str] | Iterable[str] | Iterable[bytes], + dtype: None = ..., + comments: str = ..., + delimiter: None | str | int | Iterable[int] = ..., + skip_header: int = ..., + skip_footer: int = ..., + converters: None | Mapping[int | str, Callable[[str], Any]] = ..., + missing_values: Any = ..., + filling_values: Any = ..., + usecols: None | Sequence[int] = ..., + names: L[None, True] | str | Collection[str] = ..., + excludelist: None | Sequence[str] = ..., + deletechars: str = ..., + replace_space: str = ..., + autostrip: bool = ..., + case_sensitive: bool | L['upper', 'lower'] = ..., + defaultfmt: str = ..., + unpack: None | bool = ..., + usemask: bool = ..., + loose: bool = ..., + invalid_raise: bool = ..., + max_rows: None | int = ..., + encoding: str = ..., + *, + ndmin: L[0, 1, 2] = ..., + like: None | _SupportsArrayFunc = ..., +) -> NDArray[Any]: ... +@overload +def genfromtxt( + fname: str | os.PathLike[str] | Iterable[str] | Iterable[bytes], + dtype: _DTypeLike[_SCT], + comments: str = ..., + delimiter: None | str | int | Iterable[int] = ..., + skip_header: int = ..., + skip_footer: int = ..., + converters: None | Mapping[int | str, Callable[[str], Any]] = ..., + missing_values: Any = ..., + filling_values: Any = ..., + usecols: None | Sequence[int] = ..., + names: L[None, True] | str | Collection[str] = ..., + excludelist: None | Sequence[str] = ..., + deletechars: str = ..., + replace_space: str = ..., + autostrip: bool = ..., + case_sensitive: bool | L['upper', 'lower'] = ..., + defaultfmt: str = ..., + unpack: None | bool = ..., + usemask: bool = ..., + loose: bool = ..., + invalid_raise: bool = ..., + max_rows: None | int = ..., + encoding: str = ..., + *, + ndmin: L[0, 1, 2] = ..., + like: None | _SupportsArrayFunc = ..., +) -> NDArray[_SCT]: ... +@overload +def genfromtxt( + fname: str | os.PathLike[str] | Iterable[str] | Iterable[bytes], + dtype: DTypeLike, + comments: str = ..., + delimiter: None | str | int | Iterable[int] = ..., + skip_header: int = ..., + skip_footer: int = ..., + converters: None | Mapping[int | str, Callable[[str], Any]] = ..., + missing_values: Any = ..., + filling_values: Any = ..., + usecols: None | Sequence[int] = ..., + names: L[None, True] | str | Collection[str] = ..., + excludelist: None | Sequence[str] = ..., + deletechars: str = ..., + replace_space: str = ..., + autostrip: bool = ..., + case_sensitive: bool | L['upper', 'lower'] = ..., + defaultfmt: str = ..., + unpack: None | bool = ..., + usemask: bool = ..., + loose: bool = ..., + invalid_raise: bool = ..., + max_rows: None | int = ..., + encoding: str = ..., + *, + ndmin: L[0, 1, 2] = ..., + like: None | _SupportsArrayFunc = ..., +) -> NDArray[Any]: ... + +@overload +def recfromtxt( + fname: str | os.PathLike[str] | Iterable[str] | Iterable[bytes], + *, + usemask: L[False] = ..., + **kwargs: Any, +) -> recarray[Any, dtype[record]]: ... +@overload +def recfromtxt( + fname: str | os.PathLike[str] | Iterable[str] | Iterable[bytes], + *, + usemask: L[True], + **kwargs: Any, +) -> MaskedRecords[Any, dtype[void]]: ... + +@overload +def recfromcsv( + fname: str | os.PathLike[str] | Iterable[str] | Iterable[bytes], + *, + usemask: L[False] = ..., + **kwargs: Any, +) -> recarray[Any, dtype[record]]: ... +@overload +def recfromcsv( + fname: str | os.PathLike[str] | Iterable[str] | Iterable[bytes], + *, + usemask: L[True], + **kwargs: Any, +) -> MaskedRecords[Any, dtype[void]]: ... diff --git a/lib/python3.12/site-packages/numpy/lib/polynomial.py b/lib/python3.12/site-packages/numpy/lib/polynomial.py new file mode 100644 index 0000000000000000000000000000000000000000..3b8db2a9512694c8148cd6e3538c70087e3cd1a8 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/polynomial.py @@ -0,0 +1,1453 @@ +""" +Functions to operate on polynomials. + +""" +__all__ = ['poly', 'roots', 'polyint', 'polyder', 'polyadd', + 'polysub', 'polymul', 'polydiv', 'polyval', 'poly1d', + 'polyfit', 'RankWarning'] + +import functools +import re +import warnings + +from .._utils import set_module +import numpy.core.numeric as NX + +from numpy.core import (isscalar, abs, finfo, atleast_1d, hstack, dot, array, + ones) +from numpy.core import overrides +from numpy.lib.twodim_base import diag, vander +from numpy.lib.function_base import trim_zeros +from numpy.lib.type_check import iscomplex, real, imag, mintypecode +from numpy.linalg import eigvals, lstsq, inv + + +array_function_dispatch = functools.partial( + overrides.array_function_dispatch, module='numpy') + + +@set_module('numpy') +class RankWarning(UserWarning): + """ + Issued by `polyfit` when the Vandermonde matrix is rank deficient. + + For more information, a way to suppress the warning, and an example of + `RankWarning` being issued, see `polyfit`. + + """ + pass + + +def _poly_dispatcher(seq_of_zeros): + return seq_of_zeros + + +@array_function_dispatch(_poly_dispatcher) +def poly(seq_of_zeros): + """ + Find the coefficients of a polynomial with the given sequence of roots. + + .. note:: + This forms part of the old polynomial API. Since version 1.4, the + new polynomial API defined in `numpy.polynomial` is preferred. + A summary of the differences can be found in the + :doc:`transition guide `. + + Returns the coefficients of the polynomial whose leading coefficient + is one for the given sequence of zeros (multiple roots must be included + in the sequence as many times as their multiplicity; see Examples). + A square matrix (or array, which will be treated as a matrix) can also + be given, in which case the coefficients of the characteristic polynomial + of the matrix are returned. + + Parameters + ---------- + seq_of_zeros : array_like, shape (N,) or (N, N) + A sequence of polynomial roots, or a square array or matrix object. + + Returns + ------- + c : ndarray + 1D array of polynomial coefficients from highest to lowest degree: + + ``c[0] * x**(N) + c[1] * x**(N-1) + ... + c[N-1] * x + c[N]`` + where c[0] always equals 1. + + Raises + ------ + ValueError + If input is the wrong shape (the input must be a 1-D or square + 2-D array). + + See Also + -------- + polyval : Compute polynomial values. + roots : Return the roots of a polynomial. + polyfit : Least squares polynomial fit. + poly1d : A one-dimensional polynomial class. + + Notes + ----- + Specifying the roots of a polynomial still leaves one degree of + freedom, typically represented by an undetermined leading + coefficient. [1]_ In the case of this function, that coefficient - + the first one in the returned array - is always taken as one. (If + for some reason you have one other point, the only automatic way + presently to leverage that information is to use ``polyfit``.) + + The characteristic polynomial, :math:`p_a(t)`, of an `n`-by-`n` + matrix **A** is given by + + :math:`p_a(t) = \\mathrm{det}(t\\, \\mathbf{I} - \\mathbf{A})`, + + where **I** is the `n`-by-`n` identity matrix. [2]_ + + References + ---------- + .. [1] M. Sullivan and M. Sullivan, III, "Algebra and Trigonometry, + Enhanced With Graphing Utilities," Prentice-Hall, pg. 318, 1996. + + .. [2] G. Strang, "Linear Algebra and Its Applications, 2nd Edition," + Academic Press, pg. 182, 1980. + + Examples + -------- + Given a sequence of a polynomial's zeros: + + >>> np.poly((0, 0, 0)) # Multiple root example + array([1., 0., 0., 0.]) + + The line above represents z**3 + 0*z**2 + 0*z + 0. + + >>> np.poly((-1./2, 0, 1./2)) + array([ 1. , 0. , -0.25, 0. ]) + + The line above represents z**3 - z/4 + + >>> np.poly((np.random.random(1)[0], 0, np.random.random(1)[0])) + array([ 1. , -0.77086955, 0.08618131, 0. ]) # random + + Given a square array object: + + >>> P = np.array([[0, 1./3], [-1./2, 0]]) + >>> np.poly(P) + array([1. , 0. , 0.16666667]) + + Note how in all cases the leading coefficient is always 1. + + """ + seq_of_zeros = atleast_1d(seq_of_zeros) + sh = seq_of_zeros.shape + + if len(sh) == 2 and sh[0] == sh[1] and sh[0] != 0: + seq_of_zeros = eigvals(seq_of_zeros) + elif len(sh) == 1: + dt = seq_of_zeros.dtype + # Let object arrays slip through, e.g. for arbitrary precision + if dt != object: + seq_of_zeros = seq_of_zeros.astype(mintypecode(dt.char)) + else: + raise ValueError("input must be 1d or non-empty square 2d array.") + + if len(seq_of_zeros) == 0: + return 1.0 + dt = seq_of_zeros.dtype + a = ones((1,), dtype=dt) + for zero in seq_of_zeros: + a = NX.convolve(a, array([1, -zero], dtype=dt), mode='full') + + if issubclass(a.dtype.type, NX.complexfloating): + # if complex roots are all complex conjugates, the roots are real. + roots = NX.asarray(seq_of_zeros, complex) + if NX.all(NX.sort(roots) == NX.sort(roots.conjugate())): + a = a.real.copy() + + return a + + +def _roots_dispatcher(p): + return p + + +@array_function_dispatch(_roots_dispatcher) +def roots(p): + """ + Return the roots of a polynomial with coefficients given in p. + + .. note:: + This forms part of the old polynomial API. Since version 1.4, the + new polynomial API defined in `numpy.polynomial` is preferred. + A summary of the differences can be found in the + :doc:`transition guide `. + + The values in the rank-1 array `p` are coefficients of a polynomial. + If the length of `p` is n+1 then the polynomial is described by:: + + p[0] * x**n + p[1] * x**(n-1) + ... + p[n-1]*x + p[n] + + Parameters + ---------- + p : array_like + Rank-1 array of polynomial coefficients. + + Returns + ------- + out : ndarray + An array containing the roots of the polynomial. + + Raises + ------ + ValueError + When `p` cannot be converted to a rank-1 array. + + See also + -------- + poly : Find the coefficients of a polynomial with a given sequence + of roots. + polyval : Compute polynomial values. + polyfit : Least squares polynomial fit. + poly1d : A one-dimensional polynomial class. + + Notes + ----- + The algorithm relies on computing the eigenvalues of the + companion matrix [1]_. + + References + ---------- + .. [1] R. A. Horn & C. R. Johnson, *Matrix Analysis*. Cambridge, UK: + Cambridge University Press, 1999, pp. 146-7. + + Examples + -------- + >>> coeff = [3.2, 2, 1] + >>> np.roots(coeff) + array([-0.3125+0.46351241j, -0.3125-0.46351241j]) + + """ + # If input is scalar, this makes it an array + p = atleast_1d(p) + if p.ndim != 1: + raise ValueError("Input must be a rank-1 array.") + + # find non-zero array entries + non_zero = NX.nonzero(NX.ravel(p))[0] + + # Return an empty array if polynomial is all zeros + if len(non_zero) == 0: + return NX.array([]) + + # find the number of trailing zeros -- this is the number of roots at 0. + trailing_zeros = len(p) - non_zero[-1] - 1 + + # strip leading and trailing zeros + p = p[int(non_zero[0]):int(non_zero[-1])+1] + + # casting: if incoming array isn't floating point, make it floating point. + if not issubclass(p.dtype.type, (NX.floating, NX.complexfloating)): + p = p.astype(float) + + N = len(p) + if N > 1: + # build companion matrix and find its eigenvalues (the roots) + A = diag(NX.ones((N-2,), p.dtype), -1) + A[0,:] = -p[1:] / p[0] + roots = eigvals(A) + else: + roots = NX.array([]) + + # tack any zeros onto the back of the array + roots = hstack((roots, NX.zeros(trailing_zeros, roots.dtype))) + return roots + + +def _polyint_dispatcher(p, m=None, k=None): + return (p,) + + +@array_function_dispatch(_polyint_dispatcher) +def polyint(p, m=1, k=None): + """ + Return an antiderivative (indefinite integral) of a polynomial. + + .. note:: + This forms part of the old polynomial API. Since version 1.4, the + new polynomial API defined in `numpy.polynomial` is preferred. + A summary of the differences can be found in the + :doc:`transition guide `. + + The returned order `m` antiderivative `P` of polynomial `p` satisfies + :math:`\\frac{d^m}{dx^m}P(x) = p(x)` and is defined up to `m - 1` + integration constants `k`. The constants determine the low-order + polynomial part + + .. math:: \\frac{k_{m-1}}{0!} x^0 + \\ldots + \\frac{k_0}{(m-1)!}x^{m-1} + + of `P` so that :math:`P^{(j)}(0) = k_{m-j-1}`. + + Parameters + ---------- + p : array_like or poly1d + Polynomial to integrate. + A sequence is interpreted as polynomial coefficients, see `poly1d`. + m : int, optional + Order of the antiderivative. (Default: 1) + k : list of `m` scalars or scalar, optional + Integration constants. They are given in the order of integration: + those corresponding to highest-order terms come first. + + If ``None`` (default), all constants are assumed to be zero. + If `m = 1`, a single scalar can be given instead of a list. + + See Also + -------- + polyder : derivative of a polynomial + poly1d.integ : equivalent method + + Examples + -------- + The defining property of the antiderivative: + + >>> p = np.poly1d([1,1,1]) + >>> P = np.polyint(p) + >>> P + poly1d([ 0.33333333, 0.5 , 1. , 0. ]) # may vary + >>> np.polyder(P) == p + True + + The integration constants default to zero, but can be specified: + + >>> P = np.polyint(p, 3) + >>> P(0) + 0.0 + >>> np.polyder(P)(0) + 0.0 + >>> np.polyder(P, 2)(0) + 0.0 + >>> P = np.polyint(p, 3, k=[6,5,3]) + >>> P + poly1d([ 0.01666667, 0.04166667, 0.16666667, 3. , 5. , 3. ]) # may vary + + Note that 3 = 6 / 2!, and that the constants are given in the order of + integrations. Constant of the highest-order polynomial term comes first: + + >>> np.polyder(P, 2)(0) + 6.0 + >>> np.polyder(P, 1)(0) + 5.0 + >>> P(0) + 3.0 + + """ + m = int(m) + if m < 0: + raise ValueError("Order of integral must be positive (see polyder)") + if k is None: + k = NX.zeros(m, float) + k = atleast_1d(k) + if len(k) == 1 and m > 1: + k = k[0]*NX.ones(m, float) + if len(k) < m: + raise ValueError( + "k must be a scalar or a rank-1 array of length 1 or >m.") + + truepoly = isinstance(p, poly1d) + p = NX.asarray(p) + if m == 0: + if truepoly: + return poly1d(p) + return p + else: + # Note: this must work also with object and integer arrays + y = NX.concatenate((p.__truediv__(NX.arange(len(p), 0, -1)), [k[0]])) + val = polyint(y, m - 1, k=k[1:]) + if truepoly: + return poly1d(val) + return val + + +def _polyder_dispatcher(p, m=None): + return (p,) + + +@array_function_dispatch(_polyder_dispatcher) +def polyder(p, m=1): + """ + Return the derivative of the specified order of a polynomial. + + .. note:: + This forms part of the old polynomial API. Since version 1.4, the + new polynomial API defined in `numpy.polynomial` is preferred. + A summary of the differences can be found in the + :doc:`transition guide `. + + Parameters + ---------- + p : poly1d or sequence + Polynomial to differentiate. + A sequence is interpreted as polynomial coefficients, see `poly1d`. + m : int, optional + Order of differentiation (default: 1) + + Returns + ------- + der : poly1d + A new polynomial representing the derivative. + + See Also + -------- + polyint : Anti-derivative of a polynomial. + poly1d : Class for one-dimensional polynomials. + + Examples + -------- + The derivative of the polynomial :math:`x^3 + x^2 + x^1 + 1` is: + + >>> p = np.poly1d([1,1,1,1]) + >>> p2 = np.polyder(p) + >>> p2 + poly1d([3, 2, 1]) + + which evaluates to: + + >>> p2(2.) + 17.0 + + We can verify this, approximating the derivative with + ``(f(x + h) - f(x))/h``: + + >>> (p(2. + 0.001) - p(2.)) / 0.001 + 17.007000999997857 + + The fourth-order derivative of a 3rd-order polynomial is zero: + + >>> np.polyder(p, 2) + poly1d([6, 2]) + >>> np.polyder(p, 3) + poly1d([6]) + >>> np.polyder(p, 4) + poly1d([0]) + + """ + m = int(m) + if m < 0: + raise ValueError("Order of derivative must be positive (see polyint)") + + truepoly = isinstance(p, poly1d) + p = NX.asarray(p) + n = len(p) - 1 + y = p[:-1] * NX.arange(n, 0, -1) + if m == 0: + val = p + else: + val = polyder(y, m - 1) + if truepoly: + val = poly1d(val) + return val + + +def _polyfit_dispatcher(x, y, deg, rcond=None, full=None, w=None, cov=None): + return (x, y, w) + + +@array_function_dispatch(_polyfit_dispatcher) +def polyfit(x, y, deg, rcond=None, full=False, w=None, cov=False): + """ + Least squares polynomial fit. + + .. note:: + This forms part of the old polynomial API. Since version 1.4, the + new polynomial API defined in `numpy.polynomial` is preferred. + A summary of the differences can be found in the + :doc:`transition guide `. + + Fit a polynomial ``p(x) = p[0] * x**deg + ... + p[deg]`` of degree `deg` + to points `(x, y)`. Returns a vector of coefficients `p` that minimises + the squared error in the order `deg`, `deg-1`, ... `0`. + + The `Polynomial.fit ` class + method is recommended for new code as it is more stable numerically. See + the documentation of the method for more information. + + Parameters + ---------- + x : array_like, shape (M,) + x-coordinates of the M sample points ``(x[i], y[i])``. + y : array_like, shape (M,) or (M, K) + y-coordinates of the sample points. Several data sets of sample + points sharing the same x-coordinates can be fitted at once by + passing in a 2D-array that contains one dataset per column. + deg : int + Degree of the fitting polynomial + rcond : float, optional + Relative condition number of the fit. Singular values smaller than + this relative to the largest singular value will be ignored. The + default value is len(x)*eps, where eps is the relative precision of + the float type, about 2e-16 in most cases. + full : bool, optional + Switch determining nature of return value. When it is False (the + default) just the coefficients are returned, when True diagnostic + information from the singular value decomposition is also returned. + w : array_like, shape (M,), optional + Weights. If not None, the weight ``w[i]`` applies to the unsquared + residual ``y[i] - y_hat[i]`` at ``x[i]``. Ideally the weights are + chosen so that the errors of the products ``w[i]*y[i]`` all have the + same variance. When using inverse-variance weighting, use + ``w[i] = 1/sigma(y[i])``. The default value is None. + cov : bool or str, optional + If given and not `False`, return not just the estimate but also its + covariance matrix. By default, the covariance are scaled by + chi2/dof, where dof = M - (deg + 1), i.e., the weights are presumed + to be unreliable except in a relative sense and everything is scaled + such that the reduced chi2 is unity. This scaling is omitted if + ``cov='unscaled'``, as is relevant for the case that the weights are + w = 1/sigma, with sigma known to be a reliable estimate of the + uncertainty. + + Returns + ------- + p : ndarray, shape (deg + 1,) or (deg + 1, K) + Polynomial coefficients, highest power first. If `y` was 2-D, the + coefficients for `k`-th data set are in ``p[:,k]``. + + residuals, rank, singular_values, rcond + These values are only returned if ``full == True`` + + - residuals -- sum of squared residuals of the least squares fit + - rank -- the effective rank of the scaled Vandermonde + coefficient matrix + - singular_values -- singular values of the scaled Vandermonde + coefficient matrix + - rcond -- value of `rcond`. + + For more details, see `numpy.linalg.lstsq`. + + V : ndarray, shape (M,M) or (M,M,K) + Present only if ``full == False`` and ``cov == True``. The covariance + matrix of the polynomial coefficient estimates. The diagonal of + this matrix are the variance estimates for each coefficient. If y + is a 2-D array, then the covariance matrix for the `k`-th data set + are in ``V[:,:,k]`` + + + Warns + ----- + RankWarning + The rank of the coefficient matrix in the least-squares fit is + deficient. The warning is only raised if ``full == False``. + + The warnings can be turned off by + + >>> import warnings + >>> warnings.simplefilter('ignore', np.RankWarning) + + See Also + -------- + polyval : Compute polynomial values. + linalg.lstsq : Computes a least-squares fit. + scipy.interpolate.UnivariateSpline : Computes spline fits. + + Notes + ----- + The solution minimizes the squared error + + .. math:: + E = \\sum_{j=0}^k |p(x_j) - y_j|^2 + + in the equations:: + + x[0]**n * p[0] + ... + x[0] * p[n-1] + p[n] = y[0] + x[1]**n * p[0] + ... + x[1] * p[n-1] + p[n] = y[1] + ... + x[k]**n * p[0] + ... + x[k] * p[n-1] + p[n] = y[k] + + The coefficient matrix of the coefficients `p` is a Vandermonde matrix. + + `polyfit` issues a `RankWarning` when the least-squares fit is badly + conditioned. This implies that the best fit is not well-defined due + to numerical error. The results may be improved by lowering the polynomial + degree or by replacing `x` by `x` - `x`.mean(). The `rcond` parameter + can also be set to a value smaller than its default, but the resulting + fit may be spurious: including contributions from the small singular + values can add numerical noise to the result. + + Note that fitting polynomial coefficients is inherently badly conditioned + when the degree of the polynomial is large or the interval of sample points + is badly centered. The quality of the fit should always be checked in these + cases. When polynomial fits are not satisfactory, splines may be a good + alternative. + + References + ---------- + .. [1] Wikipedia, "Curve fitting", + https://en.wikipedia.org/wiki/Curve_fitting + .. [2] Wikipedia, "Polynomial interpolation", + https://en.wikipedia.org/wiki/Polynomial_interpolation + + Examples + -------- + >>> import warnings + >>> x = np.array([0.0, 1.0, 2.0, 3.0, 4.0, 5.0]) + >>> y = np.array([0.0, 0.8, 0.9, 0.1, -0.8, -1.0]) + >>> z = np.polyfit(x, y, 3) + >>> z + array([ 0.08703704, -0.81349206, 1.69312169, -0.03968254]) # may vary + + It is convenient to use `poly1d` objects for dealing with polynomials: + + >>> p = np.poly1d(z) + >>> p(0.5) + 0.6143849206349179 # may vary + >>> p(3.5) + -0.34732142857143039 # may vary + >>> p(10) + 22.579365079365115 # may vary + + High-order polynomials may oscillate wildly: + + >>> with warnings.catch_warnings(): + ... warnings.simplefilter('ignore', np.RankWarning) + ... p30 = np.poly1d(np.polyfit(x, y, 30)) + ... + >>> p30(4) + -0.80000000000000204 # may vary + >>> p30(5) + -0.99999999999999445 # may vary + >>> p30(4.5) + -0.10547061179440398 # may vary + + Illustration: + + >>> import matplotlib.pyplot as plt + >>> xp = np.linspace(-2, 6, 100) + >>> _ = plt.plot(x, y, '.', xp, p(xp), '-', xp, p30(xp), '--') + >>> plt.ylim(-2,2) + (-2, 2) + >>> plt.show() + + """ + order = int(deg) + 1 + x = NX.asarray(x) + 0.0 + y = NX.asarray(y) + 0.0 + + # check arguments. + if deg < 0: + raise ValueError("expected deg >= 0") + if x.ndim != 1: + raise TypeError("expected 1D vector for x") + if x.size == 0: + raise TypeError("expected non-empty vector for x") + if y.ndim < 1 or y.ndim > 2: + raise TypeError("expected 1D or 2D array for y") + if x.shape[0] != y.shape[0]: + raise TypeError("expected x and y to have same length") + + # set rcond + if rcond is None: + rcond = len(x)*finfo(x.dtype).eps + + # set up least squares equation for powers of x + lhs = vander(x, order) + rhs = y + + # apply weighting + if w is not None: + w = NX.asarray(w) + 0.0 + if w.ndim != 1: + raise TypeError("expected a 1-d array for weights") + if w.shape[0] != y.shape[0]: + raise TypeError("expected w and y to have the same length") + lhs *= w[:, NX.newaxis] + if rhs.ndim == 2: + rhs *= w[:, NX.newaxis] + else: + rhs *= w + + # scale lhs to improve condition number and solve + scale = NX.sqrt((lhs*lhs).sum(axis=0)) + lhs /= scale + c, resids, rank, s = lstsq(lhs, rhs, rcond) + c = (c.T/scale).T # broadcast scale coefficients + + # warn on rank reduction, which indicates an ill conditioned matrix + if rank != order and not full: + msg = "Polyfit may be poorly conditioned" + warnings.warn(msg, RankWarning, stacklevel=2) + + if full: + return c, resids, rank, s, rcond + elif cov: + Vbase = inv(dot(lhs.T, lhs)) + Vbase /= NX.outer(scale, scale) + if cov == "unscaled": + fac = 1 + else: + if len(x) <= order: + raise ValueError("the number of data points must exceed order " + "to scale the covariance matrix") + # note, this used to be: fac = resids / (len(x) - order - 2.0) + # it was deciced that the "- 2" (originally justified by "Bayesian + # uncertainty analysis") is not what the user expects + # (see gh-11196 and gh-11197) + fac = resids / (len(x) - order) + if y.ndim == 1: + return c, Vbase * fac + else: + return c, Vbase[:,:, NX.newaxis] * fac + else: + return c + + +def _polyval_dispatcher(p, x): + return (p, x) + + +@array_function_dispatch(_polyval_dispatcher) +def polyval(p, x): + """ + Evaluate a polynomial at specific values. + + .. note:: + This forms part of the old polynomial API. Since version 1.4, the + new polynomial API defined in `numpy.polynomial` is preferred. + A summary of the differences can be found in the + :doc:`transition guide `. + + If `p` is of length N, this function returns the value: + + ``p[0]*x**(N-1) + p[1]*x**(N-2) + ... + p[N-2]*x + p[N-1]`` + + If `x` is a sequence, then ``p(x)`` is returned for each element of ``x``. + If `x` is another polynomial then the composite polynomial ``p(x(t))`` + is returned. + + Parameters + ---------- + p : array_like or poly1d object + 1D array of polynomial coefficients (including coefficients equal + to zero) from highest degree to the constant term, or an + instance of poly1d. + x : array_like or poly1d object + A number, an array of numbers, or an instance of poly1d, at + which to evaluate `p`. + + Returns + ------- + values : ndarray or poly1d + If `x` is a poly1d instance, the result is the composition of the two + polynomials, i.e., `x` is "substituted" in `p` and the simplified + result is returned. In addition, the type of `x` - array_like or + poly1d - governs the type of the output: `x` array_like => `values` + array_like, `x` a poly1d object => `values` is also. + + See Also + -------- + poly1d: A polynomial class. + + Notes + ----- + Horner's scheme [1]_ is used to evaluate the polynomial. Even so, + for polynomials of high degree the values may be inaccurate due to + rounding errors. Use carefully. + + If `x` is a subtype of `ndarray` the return value will be of the same type. + + References + ---------- + .. [1] I. N. Bronshtein, K. A. Semendyayev, and K. A. Hirsch (Eng. + trans. Ed.), *Handbook of Mathematics*, New York, Van Nostrand + Reinhold Co., 1985, pg. 720. + + Examples + -------- + >>> np.polyval([3,0,1], 5) # 3 * 5**2 + 0 * 5**1 + 1 + 76 + >>> np.polyval([3,0,1], np.poly1d(5)) + poly1d([76]) + >>> np.polyval(np.poly1d([3,0,1]), 5) + 76 + >>> np.polyval(np.poly1d([3,0,1]), np.poly1d(5)) + poly1d([76]) + + """ + p = NX.asarray(p) + if isinstance(x, poly1d): + y = 0 + else: + x = NX.asanyarray(x) + y = NX.zeros_like(x) + for pv in p: + y = y * x + pv + return y + + +def _binary_op_dispatcher(a1, a2): + return (a1, a2) + + +@array_function_dispatch(_binary_op_dispatcher) +def polyadd(a1, a2): + """ + Find the sum of two polynomials. + + .. note:: + This forms part of the old polynomial API. Since version 1.4, the + new polynomial API defined in `numpy.polynomial` is preferred. + A summary of the differences can be found in the + :doc:`transition guide `. + + Returns the polynomial resulting from the sum of two input polynomials. + Each input must be either a poly1d object or a 1D sequence of polynomial + coefficients, from highest to lowest degree. + + Parameters + ---------- + a1, a2 : array_like or poly1d object + Input polynomials. + + Returns + ------- + out : ndarray or poly1d object + The sum of the inputs. If either input is a poly1d object, then the + output is also a poly1d object. Otherwise, it is a 1D array of + polynomial coefficients from highest to lowest degree. + + See Also + -------- + poly1d : A one-dimensional polynomial class. + poly, polyadd, polyder, polydiv, polyfit, polyint, polysub, polyval + + Examples + -------- + >>> np.polyadd([1, 2], [9, 5, 4]) + array([9, 6, 6]) + + Using poly1d objects: + + >>> p1 = np.poly1d([1, 2]) + >>> p2 = np.poly1d([9, 5, 4]) + >>> print(p1) + 1 x + 2 + >>> print(p2) + 2 + 9 x + 5 x + 4 + >>> print(np.polyadd(p1, p2)) + 2 + 9 x + 6 x + 6 + + """ + truepoly = (isinstance(a1, poly1d) or isinstance(a2, poly1d)) + a1 = atleast_1d(a1) + a2 = atleast_1d(a2) + diff = len(a2) - len(a1) + if diff == 0: + val = a1 + a2 + elif diff > 0: + zr = NX.zeros(diff, a1.dtype) + val = NX.concatenate((zr, a1)) + a2 + else: + zr = NX.zeros(abs(diff), a2.dtype) + val = a1 + NX.concatenate((zr, a2)) + if truepoly: + val = poly1d(val) + return val + + +@array_function_dispatch(_binary_op_dispatcher) +def polysub(a1, a2): + """ + Difference (subtraction) of two polynomials. + + .. note:: + This forms part of the old polynomial API. Since version 1.4, the + new polynomial API defined in `numpy.polynomial` is preferred. + A summary of the differences can be found in the + :doc:`transition guide `. + + Given two polynomials `a1` and `a2`, returns ``a1 - a2``. + `a1` and `a2` can be either array_like sequences of the polynomials' + coefficients (including coefficients equal to zero), or `poly1d` objects. + + Parameters + ---------- + a1, a2 : array_like or poly1d + Minuend and subtrahend polynomials, respectively. + + Returns + ------- + out : ndarray or poly1d + Array or `poly1d` object of the difference polynomial's coefficients. + + See Also + -------- + polyval, polydiv, polymul, polyadd + + Examples + -------- + .. math:: (2 x^2 + 10 x - 2) - (3 x^2 + 10 x -4) = (-x^2 + 2) + + >>> np.polysub([2, 10, -2], [3, 10, -4]) + array([-1, 0, 2]) + + """ + truepoly = (isinstance(a1, poly1d) or isinstance(a2, poly1d)) + a1 = atleast_1d(a1) + a2 = atleast_1d(a2) + diff = len(a2) - len(a1) + if diff == 0: + val = a1 - a2 + elif diff > 0: + zr = NX.zeros(diff, a1.dtype) + val = NX.concatenate((zr, a1)) - a2 + else: + zr = NX.zeros(abs(diff), a2.dtype) + val = a1 - NX.concatenate((zr, a2)) + if truepoly: + val = poly1d(val) + return val + + +@array_function_dispatch(_binary_op_dispatcher) +def polymul(a1, a2): + """ + Find the product of two polynomials. + + .. note:: + This forms part of the old polynomial API. Since version 1.4, the + new polynomial API defined in `numpy.polynomial` is preferred. + A summary of the differences can be found in the + :doc:`transition guide `. + + Finds the polynomial resulting from the multiplication of the two input + polynomials. Each input must be either a poly1d object or a 1D sequence + of polynomial coefficients, from highest to lowest degree. + + Parameters + ---------- + a1, a2 : array_like or poly1d object + Input polynomials. + + Returns + ------- + out : ndarray or poly1d object + The polynomial resulting from the multiplication of the inputs. If + either inputs is a poly1d object, then the output is also a poly1d + object. Otherwise, it is a 1D array of polynomial coefficients from + highest to lowest degree. + + See Also + -------- + poly1d : A one-dimensional polynomial class. + poly, polyadd, polyder, polydiv, polyfit, polyint, polysub, polyval + convolve : Array convolution. Same output as polymul, but has parameter + for overlap mode. + + Examples + -------- + >>> np.polymul([1, 2, 3], [9, 5, 1]) + array([ 9, 23, 38, 17, 3]) + + Using poly1d objects: + + >>> p1 = np.poly1d([1, 2, 3]) + >>> p2 = np.poly1d([9, 5, 1]) + >>> print(p1) + 2 + 1 x + 2 x + 3 + >>> print(p2) + 2 + 9 x + 5 x + 1 + >>> print(np.polymul(p1, p2)) + 4 3 2 + 9 x + 23 x + 38 x + 17 x + 3 + + """ + truepoly = (isinstance(a1, poly1d) or isinstance(a2, poly1d)) + a1, a2 = poly1d(a1), poly1d(a2) + val = NX.convolve(a1, a2) + if truepoly: + val = poly1d(val) + return val + + +def _polydiv_dispatcher(u, v): + return (u, v) + + +@array_function_dispatch(_polydiv_dispatcher) +def polydiv(u, v): + """ + Returns the quotient and remainder of polynomial division. + + .. note:: + This forms part of the old polynomial API. Since version 1.4, the + new polynomial API defined in `numpy.polynomial` is preferred. + A summary of the differences can be found in the + :doc:`transition guide `. + + The input arrays are the coefficients (including any coefficients + equal to zero) of the "numerator" (dividend) and "denominator" + (divisor) polynomials, respectively. + + Parameters + ---------- + u : array_like or poly1d + Dividend polynomial's coefficients. + + v : array_like or poly1d + Divisor polynomial's coefficients. + + Returns + ------- + q : ndarray + Coefficients, including those equal to zero, of the quotient. + r : ndarray + Coefficients, including those equal to zero, of the remainder. + + See Also + -------- + poly, polyadd, polyder, polydiv, polyfit, polyint, polymul, polysub + polyval + + Notes + ----- + Both `u` and `v` must be 0-d or 1-d (ndim = 0 or 1), but `u.ndim` need + not equal `v.ndim`. In other words, all four possible combinations - + ``u.ndim = v.ndim = 0``, ``u.ndim = v.ndim = 1``, + ``u.ndim = 1, v.ndim = 0``, and ``u.ndim = 0, v.ndim = 1`` - work. + + Examples + -------- + .. math:: \\frac{3x^2 + 5x + 2}{2x + 1} = 1.5x + 1.75, remainder 0.25 + + >>> x = np.array([3.0, 5.0, 2.0]) + >>> y = np.array([2.0, 1.0]) + >>> np.polydiv(x, y) + (array([1.5 , 1.75]), array([0.25])) + + """ + truepoly = (isinstance(u, poly1d) or isinstance(v, poly1d)) + u = atleast_1d(u) + 0.0 + v = atleast_1d(v) + 0.0 + # w has the common type + w = u[0] + v[0] + m = len(u) - 1 + n = len(v) - 1 + scale = 1. / v[0] + q = NX.zeros((max(m - n + 1, 1),), w.dtype) + r = u.astype(w.dtype) + for k in range(0, m-n+1): + d = scale * r[k] + q[k] = d + r[k:k+n+1] -= d*v + while NX.allclose(r[0], 0, rtol=1e-14) and (r.shape[-1] > 1): + r = r[1:] + if truepoly: + return poly1d(q), poly1d(r) + return q, r + +_poly_mat = re.compile(r"\*\*([0-9]*)") +def _raise_power(astr, wrap=70): + n = 0 + line1 = '' + line2 = '' + output = ' ' + while True: + mat = _poly_mat.search(astr, n) + if mat is None: + break + span = mat.span() + power = mat.groups()[0] + partstr = astr[n:span[0]] + n = span[1] + toadd2 = partstr + ' '*(len(power)-1) + toadd1 = ' '*(len(partstr)-1) + power + if ((len(line2) + len(toadd2) > wrap) or + (len(line1) + len(toadd1) > wrap)): + output += line1 + "\n" + line2 + "\n " + line1 = toadd1 + line2 = toadd2 + else: + line2 += partstr + ' '*(len(power)-1) + line1 += ' '*(len(partstr)-1) + power + output += line1 + "\n" + line2 + return output + astr[n:] + + +@set_module('numpy') +class poly1d: + """ + A one-dimensional polynomial class. + + .. note:: + This forms part of the old polynomial API. Since version 1.4, the + new polynomial API defined in `numpy.polynomial` is preferred. + A summary of the differences can be found in the + :doc:`transition guide `. + + A convenience class, used to encapsulate "natural" operations on + polynomials so that said operations may take on their customary + form in code (see Examples). + + Parameters + ---------- + c_or_r : array_like + The polynomial's coefficients, in decreasing powers, or if + the value of the second parameter is True, the polynomial's + roots (values where the polynomial evaluates to 0). For example, + ``poly1d([1, 2, 3])`` returns an object that represents + :math:`x^2 + 2x + 3`, whereas ``poly1d([1, 2, 3], True)`` returns + one that represents :math:`(x-1)(x-2)(x-3) = x^3 - 6x^2 + 11x -6`. + r : bool, optional + If True, `c_or_r` specifies the polynomial's roots; the default + is False. + variable : str, optional + Changes the variable used when printing `p` from `x` to `variable` + (see Examples). + + Examples + -------- + Construct the polynomial :math:`x^2 + 2x + 3`: + + >>> p = np.poly1d([1, 2, 3]) + >>> print(np.poly1d(p)) + 2 + 1 x + 2 x + 3 + + Evaluate the polynomial at :math:`x = 0.5`: + + >>> p(0.5) + 4.25 + + Find the roots: + + >>> p.r + array([-1.+1.41421356j, -1.-1.41421356j]) + >>> p(p.r) + array([ -4.44089210e-16+0.j, -4.44089210e-16+0.j]) # may vary + + These numbers in the previous line represent (0, 0) to machine precision + + Show the coefficients: + + >>> p.c + array([1, 2, 3]) + + Display the order (the leading zero-coefficients are removed): + + >>> p.order + 2 + + Show the coefficient of the k-th power in the polynomial + (which is equivalent to ``p.c[-(i+1)]``): + + >>> p[1] + 2 + + Polynomials can be added, subtracted, multiplied, and divided + (returns quotient and remainder): + + >>> p * p + poly1d([ 1, 4, 10, 12, 9]) + + >>> (p**3 + 4) / p + (poly1d([ 1., 4., 10., 12., 9.]), poly1d([4.])) + + ``asarray(p)`` gives the coefficient array, so polynomials can be + used in all functions that accept arrays: + + >>> p**2 # square of polynomial + poly1d([ 1, 4, 10, 12, 9]) + + >>> np.square(p) # square of individual coefficients + array([1, 4, 9]) + + The variable used in the string representation of `p` can be modified, + using the `variable` parameter: + + >>> p = np.poly1d([1,2,3], variable='z') + >>> print(p) + 2 + 1 z + 2 z + 3 + + Construct a polynomial from its roots: + + >>> np.poly1d([1, 2], True) + poly1d([ 1., -3., 2.]) + + This is the same polynomial as obtained by: + + >>> np.poly1d([1, -1]) * np.poly1d([1, -2]) + poly1d([ 1, -3, 2]) + + """ + __hash__ = None + + @property + def coeffs(self): + """ The polynomial coefficients """ + return self._coeffs + + @coeffs.setter + def coeffs(self, value): + # allowing this makes p.coeffs *= 2 legal + if value is not self._coeffs: + raise AttributeError("Cannot set attribute") + + @property + def variable(self): + """ The name of the polynomial variable """ + return self._variable + + # calculated attributes + @property + def order(self): + """ The order or degree of the polynomial """ + return len(self._coeffs) - 1 + + @property + def roots(self): + """ The roots of the polynomial, where self(x) == 0 """ + return roots(self._coeffs) + + # our internal _coeffs property need to be backed by __dict__['coeffs'] for + # scipy to work correctly. + @property + def _coeffs(self): + return self.__dict__['coeffs'] + @_coeffs.setter + def _coeffs(self, coeffs): + self.__dict__['coeffs'] = coeffs + + # alias attributes + r = roots + c = coef = coefficients = coeffs + o = order + + def __init__(self, c_or_r, r=False, variable=None): + if isinstance(c_or_r, poly1d): + self._variable = c_or_r._variable + self._coeffs = c_or_r._coeffs + + if set(c_or_r.__dict__) - set(self.__dict__): + msg = ("In the future extra properties will not be copied " + "across when constructing one poly1d from another") + warnings.warn(msg, FutureWarning, stacklevel=2) + self.__dict__.update(c_or_r.__dict__) + + if variable is not None: + self._variable = variable + return + if r: + c_or_r = poly(c_or_r) + c_or_r = atleast_1d(c_or_r) + if c_or_r.ndim > 1: + raise ValueError("Polynomial must be 1d only.") + c_or_r = trim_zeros(c_or_r, trim='f') + if len(c_or_r) == 0: + c_or_r = NX.array([0], dtype=c_or_r.dtype) + self._coeffs = c_or_r + if variable is None: + variable = 'x' + self._variable = variable + + def __array__(self, t=None): + if t: + return NX.asarray(self.coeffs, t) + else: + return NX.asarray(self.coeffs) + + def __repr__(self): + vals = repr(self.coeffs) + vals = vals[6:-1] + return "poly1d(%s)" % vals + + def __len__(self): + return self.order + + def __str__(self): + thestr = "0" + var = self.variable + + # Remove leading zeros + coeffs = self.coeffs[NX.logical_or.accumulate(self.coeffs != 0)] + N = len(coeffs)-1 + + def fmt_float(q): + s = '%.4g' % q + if s.endswith('.0000'): + s = s[:-5] + return s + + for k, coeff in enumerate(coeffs): + if not iscomplex(coeff): + coefstr = fmt_float(real(coeff)) + elif real(coeff) == 0: + coefstr = '%sj' % fmt_float(imag(coeff)) + else: + coefstr = '(%s + %sj)' % (fmt_float(real(coeff)), + fmt_float(imag(coeff))) + + power = (N-k) + if power == 0: + if coefstr != '0': + newstr = '%s' % (coefstr,) + else: + if k == 0: + newstr = '0' + else: + newstr = '' + elif power == 1: + if coefstr == '0': + newstr = '' + elif coefstr == 'b': + newstr = var + else: + newstr = '%s %s' % (coefstr, var) + else: + if coefstr == '0': + newstr = '' + elif coefstr == 'b': + newstr = '%s**%d' % (var, power,) + else: + newstr = '%s %s**%d' % (coefstr, var, power) + + if k > 0: + if newstr != '': + if newstr.startswith('-'): + thestr = "%s - %s" % (thestr, newstr[1:]) + else: + thestr = "%s + %s" % (thestr, newstr) + else: + thestr = newstr + return _raise_power(thestr) + + def __call__(self, val): + return polyval(self.coeffs, val) + + def __neg__(self): + return poly1d(-self.coeffs) + + def __pos__(self): + return self + + def __mul__(self, other): + if isscalar(other): + return poly1d(self.coeffs * other) + else: + other = poly1d(other) + return poly1d(polymul(self.coeffs, other.coeffs)) + + def __rmul__(self, other): + if isscalar(other): + return poly1d(other * self.coeffs) + else: + other = poly1d(other) + return poly1d(polymul(self.coeffs, other.coeffs)) + + def __add__(self, other): + other = poly1d(other) + return poly1d(polyadd(self.coeffs, other.coeffs)) + + def __radd__(self, other): + other = poly1d(other) + return poly1d(polyadd(self.coeffs, other.coeffs)) + + def __pow__(self, val): + if not isscalar(val) or int(val) != val or val < 0: + raise ValueError("Power to non-negative integers only.") + res = [1] + for _ in range(val): + res = polymul(self.coeffs, res) + return poly1d(res) + + def __sub__(self, other): + other = poly1d(other) + return poly1d(polysub(self.coeffs, other.coeffs)) + + def __rsub__(self, other): + other = poly1d(other) + return poly1d(polysub(other.coeffs, self.coeffs)) + + def __div__(self, other): + if isscalar(other): + return poly1d(self.coeffs/other) + else: + other = poly1d(other) + return polydiv(self, other) + + __truediv__ = __div__ + + def __rdiv__(self, other): + if isscalar(other): + return poly1d(other/self.coeffs) + else: + other = poly1d(other) + return polydiv(other, self) + + __rtruediv__ = __rdiv__ + + def __eq__(self, other): + if not isinstance(other, poly1d): + return NotImplemented + if self.coeffs.shape != other.coeffs.shape: + return False + return (self.coeffs == other.coeffs).all() + + def __ne__(self, other): + if not isinstance(other, poly1d): + return NotImplemented + return not self.__eq__(other) + + + def __getitem__(self, val): + ind = self.order - val + if val > self.order: + return self.coeffs.dtype.type(0) + if val < 0: + return self.coeffs.dtype.type(0) + return self.coeffs[ind] + + def __setitem__(self, key, val): + ind = self.order - key + if key < 0: + raise ValueError("Does not support negative powers.") + if key > self.order: + zr = NX.zeros(key-self.order, self.coeffs.dtype) + self._coeffs = NX.concatenate((zr, self.coeffs)) + ind = 0 + self._coeffs[ind] = val + return + + def __iter__(self): + return iter(self.coeffs) + + def integ(self, m=1, k=0): + """ + Return an antiderivative (indefinite integral) of this polynomial. + + Refer to `polyint` for full documentation. + + See Also + -------- + polyint : equivalent function + + """ + return poly1d(polyint(self.coeffs, m=m, k=k)) + + def deriv(self, m=1): + """ + Return a derivative of this polynomial. + + Refer to `polyder` for full documentation. + + See Also + -------- + polyder : equivalent function + + """ + return poly1d(polyder(self.coeffs, m=m)) + +# Stuff to do on module import + +warnings.simplefilter('always', RankWarning) diff --git a/lib/python3.12/site-packages/numpy/lib/polynomial.pyi b/lib/python3.12/site-packages/numpy/lib/polynomial.pyi new file mode 100644 index 0000000000000000000000000000000000000000..14bbaf39d24944fb565cf543002ce1a8ba06ffe0 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/polynomial.pyi @@ -0,0 +1,303 @@ +from typing import ( + Literal as L, + overload, + Any, + SupportsInt, + SupportsIndex, + TypeVar, + NoReturn, +) + +from numpy import ( + RankWarning as RankWarning, + poly1d as poly1d, + unsignedinteger, + signedinteger, + floating, + complexfloating, + bool_, + int32, + int64, + float64, + complex128, + object_, +) + +from numpy._typing import ( + NDArray, + ArrayLike, + _ArrayLikeBool_co, + _ArrayLikeUInt_co, + _ArrayLikeInt_co, + _ArrayLikeFloat_co, + _ArrayLikeComplex_co, + _ArrayLikeObject_co, +) + +_T = TypeVar("_T") + +_2Tup = tuple[_T, _T] +_5Tup = tuple[ + _T, + NDArray[float64], + NDArray[int32], + NDArray[float64], + NDArray[float64], +] + +__all__: list[str] + +def poly(seq_of_zeros: ArrayLike) -> NDArray[floating[Any]]: ... + +# Returns either a float or complex array depending on the input values. +# See `np.linalg.eigvals`. +def roots(p: ArrayLike) -> NDArray[complexfloating[Any, Any]] | NDArray[floating[Any]]: ... + +@overload +def polyint( + p: poly1d, + m: SupportsInt | SupportsIndex = ..., + k: None | _ArrayLikeComplex_co | _ArrayLikeObject_co = ..., +) -> poly1d: ... +@overload +def polyint( + p: _ArrayLikeFloat_co, + m: SupportsInt | SupportsIndex = ..., + k: None | _ArrayLikeFloat_co = ..., +) -> NDArray[floating[Any]]: ... +@overload +def polyint( + p: _ArrayLikeComplex_co, + m: SupportsInt | SupportsIndex = ..., + k: None | _ArrayLikeComplex_co = ..., +) -> NDArray[complexfloating[Any, Any]]: ... +@overload +def polyint( + p: _ArrayLikeObject_co, + m: SupportsInt | SupportsIndex = ..., + k: None | _ArrayLikeObject_co = ..., +) -> NDArray[object_]: ... + +@overload +def polyder( + p: poly1d, + m: SupportsInt | SupportsIndex = ..., +) -> poly1d: ... +@overload +def polyder( + p: _ArrayLikeFloat_co, + m: SupportsInt | SupportsIndex = ..., +) -> NDArray[floating[Any]]: ... +@overload +def polyder( + p: _ArrayLikeComplex_co, + m: SupportsInt | SupportsIndex = ..., +) -> NDArray[complexfloating[Any, Any]]: ... +@overload +def polyder( + p: _ArrayLikeObject_co, + m: SupportsInt | SupportsIndex = ..., +) -> NDArray[object_]: ... + +@overload +def polyfit( + x: _ArrayLikeFloat_co, + y: _ArrayLikeFloat_co, + deg: SupportsIndex | SupportsInt, + rcond: None | float = ..., + full: L[False] = ..., + w: None | _ArrayLikeFloat_co = ..., + cov: L[False] = ..., +) -> NDArray[float64]: ... +@overload +def polyfit( + x: _ArrayLikeComplex_co, + y: _ArrayLikeComplex_co, + deg: SupportsIndex | SupportsInt, + rcond: None | float = ..., + full: L[False] = ..., + w: None | _ArrayLikeFloat_co = ..., + cov: L[False] = ..., +) -> NDArray[complex128]: ... +@overload +def polyfit( + x: _ArrayLikeFloat_co, + y: _ArrayLikeFloat_co, + deg: SupportsIndex | SupportsInt, + rcond: None | float = ..., + full: L[False] = ..., + w: None | _ArrayLikeFloat_co = ..., + cov: L[True, "unscaled"] = ..., +) -> _2Tup[NDArray[float64]]: ... +@overload +def polyfit( + x: _ArrayLikeComplex_co, + y: _ArrayLikeComplex_co, + deg: SupportsIndex | SupportsInt, + rcond: None | float = ..., + full: L[False] = ..., + w: None | _ArrayLikeFloat_co = ..., + cov: L[True, "unscaled"] = ..., +) -> _2Tup[NDArray[complex128]]: ... +@overload +def polyfit( + x: _ArrayLikeFloat_co, + y: _ArrayLikeFloat_co, + deg: SupportsIndex | SupportsInt, + rcond: None | float = ..., + full: L[True] = ..., + w: None | _ArrayLikeFloat_co = ..., + cov: bool | L["unscaled"] = ..., +) -> _5Tup[NDArray[float64]]: ... +@overload +def polyfit( + x: _ArrayLikeComplex_co, + y: _ArrayLikeComplex_co, + deg: SupportsIndex | SupportsInt, + rcond: None | float = ..., + full: L[True] = ..., + w: None | _ArrayLikeFloat_co = ..., + cov: bool | L["unscaled"] = ..., +) -> _5Tup[NDArray[complex128]]: ... + +@overload +def polyval( + p: _ArrayLikeBool_co, + x: _ArrayLikeBool_co, +) -> NDArray[int64]: ... +@overload +def polyval( + p: _ArrayLikeUInt_co, + x: _ArrayLikeUInt_co, +) -> NDArray[unsignedinteger[Any]]: ... +@overload +def polyval( + p: _ArrayLikeInt_co, + x: _ArrayLikeInt_co, +) -> NDArray[signedinteger[Any]]: ... +@overload +def polyval( + p: _ArrayLikeFloat_co, + x: _ArrayLikeFloat_co, +) -> NDArray[floating[Any]]: ... +@overload +def polyval( + p: _ArrayLikeComplex_co, + x: _ArrayLikeComplex_co, +) -> NDArray[complexfloating[Any, Any]]: ... +@overload +def polyval( + p: _ArrayLikeObject_co, + x: _ArrayLikeObject_co, +) -> NDArray[object_]: ... + +@overload +def polyadd( + a1: poly1d, + a2: _ArrayLikeComplex_co | _ArrayLikeObject_co, +) -> poly1d: ... +@overload +def polyadd( + a1: _ArrayLikeComplex_co | _ArrayLikeObject_co, + a2: poly1d, +) -> poly1d: ... +@overload +def polyadd( + a1: _ArrayLikeBool_co, + a2: _ArrayLikeBool_co, +) -> NDArray[bool_]: ... +@overload +def polyadd( + a1: _ArrayLikeUInt_co, + a2: _ArrayLikeUInt_co, +) -> NDArray[unsignedinteger[Any]]: ... +@overload +def polyadd( + a1: _ArrayLikeInt_co, + a2: _ArrayLikeInt_co, +) -> NDArray[signedinteger[Any]]: ... +@overload +def polyadd( + a1: _ArrayLikeFloat_co, + a2: _ArrayLikeFloat_co, +) -> NDArray[floating[Any]]: ... +@overload +def polyadd( + a1: _ArrayLikeComplex_co, + a2: _ArrayLikeComplex_co, +) -> NDArray[complexfloating[Any, Any]]: ... +@overload +def polyadd( + a1: _ArrayLikeObject_co, + a2: _ArrayLikeObject_co, +) -> NDArray[object_]: ... + +@overload +def polysub( + a1: poly1d, + a2: _ArrayLikeComplex_co | _ArrayLikeObject_co, +) -> poly1d: ... +@overload +def polysub( + a1: _ArrayLikeComplex_co | _ArrayLikeObject_co, + a2: poly1d, +) -> poly1d: ... +@overload +def polysub( + a1: _ArrayLikeBool_co, + a2: _ArrayLikeBool_co, +) -> NoReturn: ... +@overload +def polysub( + a1: _ArrayLikeUInt_co, + a2: _ArrayLikeUInt_co, +) -> NDArray[unsignedinteger[Any]]: ... +@overload +def polysub( + a1: _ArrayLikeInt_co, + a2: _ArrayLikeInt_co, +) -> NDArray[signedinteger[Any]]: ... +@overload +def polysub( + a1: _ArrayLikeFloat_co, + a2: _ArrayLikeFloat_co, +) -> NDArray[floating[Any]]: ... +@overload +def polysub( + a1: _ArrayLikeComplex_co, + a2: _ArrayLikeComplex_co, +) -> NDArray[complexfloating[Any, Any]]: ... +@overload +def polysub( + a1: _ArrayLikeObject_co, + a2: _ArrayLikeObject_co, +) -> NDArray[object_]: ... + +# NOTE: Not an alias, but they do have the same signature (that we can reuse) +polymul = polyadd + +@overload +def polydiv( + u: poly1d, + v: _ArrayLikeComplex_co | _ArrayLikeObject_co, +) -> _2Tup[poly1d]: ... +@overload +def polydiv( + u: _ArrayLikeComplex_co | _ArrayLikeObject_co, + v: poly1d, +) -> _2Tup[poly1d]: ... +@overload +def polydiv( + u: _ArrayLikeFloat_co, + v: _ArrayLikeFloat_co, +) -> _2Tup[NDArray[floating[Any]]]: ... +@overload +def polydiv( + u: _ArrayLikeComplex_co, + v: _ArrayLikeComplex_co, +) -> _2Tup[NDArray[complexfloating[Any, Any]]]: ... +@overload +def polydiv( + u: _ArrayLikeObject_co, + v: _ArrayLikeObject_co, +) -> _2Tup[NDArray[Any]]: ... diff --git a/lib/python3.12/site-packages/numpy/lib/recfunctions.py b/lib/python3.12/site-packages/numpy/lib/recfunctions.py new file mode 100644 index 0000000000000000000000000000000000000000..83ae413c6032bceec05c7e4dce17e16113f7625c --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/recfunctions.py @@ -0,0 +1,1673 @@ +""" +Collection of utilities to manipulate structured arrays. + +Most of these functions were initially implemented by John Hunter for +matplotlib. They have been rewritten and extended for convenience. + +""" +import itertools +import numpy as np +import numpy.ma as ma +from numpy import ndarray, recarray +from numpy.ma import MaskedArray +from numpy.ma.mrecords import MaskedRecords +from numpy.core.overrides import array_function_dispatch +from numpy.lib._iotools import _is_string_like + +_check_fill_value = np.ma.core._check_fill_value + + +__all__ = [ + 'append_fields', 'apply_along_fields', 'assign_fields_by_name', + 'drop_fields', 'find_duplicates', 'flatten_descr', + 'get_fieldstructure', 'get_names', 'get_names_flat', + 'join_by', 'merge_arrays', 'rec_append_fields', + 'rec_drop_fields', 'rec_join', 'recursive_fill_fields', + 'rename_fields', 'repack_fields', 'require_fields', + 'stack_arrays', 'structured_to_unstructured', 'unstructured_to_structured', + ] + + +def _recursive_fill_fields_dispatcher(input, output): + return (input, output) + + +@array_function_dispatch(_recursive_fill_fields_dispatcher) +def recursive_fill_fields(input, output): + """ + Fills fields from output with fields from input, + with support for nested structures. + + Parameters + ---------- + input : ndarray + Input array. + output : ndarray + Output array. + + Notes + ----- + * `output` should be at least the same size as `input` + + Examples + -------- + >>> from numpy.lib import recfunctions as rfn + >>> a = np.array([(1, 10.), (2, 20.)], dtype=[('A', np.int64), ('B', np.float64)]) + >>> b = np.zeros((3,), dtype=a.dtype) + >>> rfn.recursive_fill_fields(a, b) + array([(1, 10.), (2, 20.), (0, 0.)], dtype=[('A', '>> dt = np.dtype([(('a', 'A'), np.int64), ('b', np.double, 3)]) + >>> dt.descr + [(('a', 'A'), '>> _get_fieldspec(dt) + [(('a', 'A'), dtype('int64')), ('b', dtype(('>> from numpy.lib import recfunctions as rfn + >>> rfn.get_names(np.empty((1,), dtype=[('A', int)]).dtype) + ('A',) + >>> rfn.get_names(np.empty((1,), dtype=[('A',int), ('B', float)]).dtype) + ('A', 'B') + >>> adtype = np.dtype([('a', int), ('b', [('ba', int), ('bb', int)])]) + >>> rfn.get_names(adtype) + ('a', ('b', ('ba', 'bb'))) + """ + listnames = [] + names = adtype.names + for name in names: + current = adtype[name] + if current.names is not None: + listnames.append((name, tuple(get_names(current)))) + else: + listnames.append(name) + return tuple(listnames) + + +def get_names_flat(adtype): + """ + Returns the field names of the input datatype as a tuple. Input datatype + must have fields otherwise error is raised. + Nested structure are flattened beforehand. + + Parameters + ---------- + adtype : dtype + Input datatype + + Examples + -------- + >>> from numpy.lib import recfunctions as rfn + >>> rfn.get_names_flat(np.empty((1,), dtype=[('A', int)]).dtype) is None + False + >>> rfn.get_names_flat(np.empty((1,), dtype=[('A',int), ('B', str)]).dtype) + ('A', 'B') + >>> adtype = np.dtype([('a', int), ('b', [('ba', int), ('bb', int)])]) + >>> rfn.get_names_flat(adtype) + ('a', 'b', 'ba', 'bb') + """ + listnames = [] + names = adtype.names + for name in names: + listnames.append(name) + current = adtype[name] + if current.names is not None: + listnames.extend(get_names_flat(current)) + return tuple(listnames) + + +def flatten_descr(ndtype): + """ + Flatten a structured data-type description. + + Examples + -------- + >>> from numpy.lib import recfunctions as rfn + >>> ndtype = np.dtype([('a', '>> rfn.flatten_descr(ndtype) + (('a', dtype('int32')), ('ba', dtype('float64')), ('bb', dtype('int32'))) + + """ + names = ndtype.names + if names is None: + return (('', ndtype),) + else: + descr = [] + for field in names: + (typ, _) = ndtype.fields[field] + if typ.names is not None: + descr.extend(flatten_descr(typ)) + else: + descr.append((field, typ)) + return tuple(descr) + + +def _zip_dtype(seqarrays, flatten=False): + newdtype = [] + if flatten: + for a in seqarrays: + newdtype.extend(flatten_descr(a.dtype)) + else: + for a in seqarrays: + current = a.dtype + if current.names is not None and len(current.names) == 1: + # special case - dtypes of 1 field are flattened + newdtype.extend(_get_fieldspec(current)) + else: + newdtype.append(('', current)) + return np.dtype(newdtype) + + +def _zip_descr(seqarrays, flatten=False): + """ + Combine the dtype description of a series of arrays. + + Parameters + ---------- + seqarrays : sequence of arrays + Sequence of arrays + flatten : {boolean}, optional + Whether to collapse nested descriptions. + """ + return _zip_dtype(seqarrays, flatten=flatten).descr + + +def get_fieldstructure(adtype, lastname=None, parents=None,): + """ + Returns a dictionary with fields indexing lists of their parent fields. + + This function is used to simplify access to fields nested in other fields. + + Parameters + ---------- + adtype : np.dtype + Input datatype + lastname : optional + Last processed field name (used internally during recursion). + parents : dictionary + Dictionary of parent fields (used interbally during recursion). + + Examples + -------- + >>> from numpy.lib import recfunctions as rfn + >>> ndtype = np.dtype([('A', int), + ... ('B', [('BA', int), + ... ('BB', [('BBA', int), ('BBB', int)])])]) + >>> rfn.get_fieldstructure(ndtype) + ... # XXX: possible regression, order of BBA and BBB is swapped + {'A': [], 'B': [], 'BA': ['B'], 'BB': ['B'], 'BBA': ['B', 'BB'], 'BBB': ['B', 'BB']} + + """ + if parents is None: + parents = {} + names = adtype.names + for name in names: + current = adtype[name] + if current.names is not None: + if lastname: + parents[name] = [lastname, ] + else: + parents[name] = [] + parents.update(get_fieldstructure(current, name, parents)) + else: + lastparent = [_ for _ in (parents.get(lastname, []) or [])] + if lastparent: + lastparent.append(lastname) + elif lastname: + lastparent = [lastname, ] + parents[name] = lastparent or [] + return parents + + +def _izip_fields_flat(iterable): + """ + Returns an iterator of concatenated fields from a sequence of arrays, + collapsing any nested structure. + + """ + for element in iterable: + if isinstance(element, np.void): + yield from _izip_fields_flat(tuple(element)) + else: + yield element + + +def _izip_fields(iterable): + """ + Returns an iterator of concatenated fields from a sequence of arrays. + + """ + for element in iterable: + if (hasattr(element, '__iter__') and + not isinstance(element, str)): + yield from _izip_fields(element) + elif isinstance(element, np.void) and len(tuple(element)) == 1: + # this statement is the same from the previous expression + yield from _izip_fields(element) + else: + yield element + + +def _izip_records(seqarrays, fill_value=None, flatten=True): + """ + Returns an iterator of concatenated items from a sequence of arrays. + + Parameters + ---------- + seqarrays : sequence of arrays + Sequence of arrays. + fill_value : {None, integer} + Value used to pad shorter iterables. + flatten : {True, False}, + Whether to + """ + + # Should we flatten the items, or just use a nested approach + if flatten: + zipfunc = _izip_fields_flat + else: + zipfunc = _izip_fields + + for tup in itertools.zip_longest(*seqarrays, fillvalue=fill_value): + yield tuple(zipfunc(tup)) + + +def _fix_output(output, usemask=True, asrecarray=False): + """ + Private function: return a recarray, a ndarray, a MaskedArray + or a MaskedRecords depending on the input parameters + """ + if not isinstance(output, MaskedArray): + usemask = False + if usemask: + if asrecarray: + output = output.view(MaskedRecords) + else: + output = ma.filled(output) + if asrecarray: + output = output.view(recarray) + return output + + +def _fix_defaults(output, defaults=None): + """ + Update the fill_value and masked data of `output` + from the default given in a dictionary defaults. + """ + names = output.dtype.names + (data, mask, fill_value) = (output.data, output.mask, output.fill_value) + for (k, v) in (defaults or {}).items(): + if k in names: + fill_value[k] = v + data[k][mask[k]] = v + return output + + +def _merge_arrays_dispatcher(seqarrays, fill_value=None, flatten=None, + usemask=None, asrecarray=None): + return seqarrays + + +@array_function_dispatch(_merge_arrays_dispatcher) +def merge_arrays(seqarrays, fill_value=-1, flatten=False, + usemask=False, asrecarray=False): + """ + Merge arrays field by field. + + Parameters + ---------- + seqarrays : sequence of ndarrays + Sequence of arrays + fill_value : {float}, optional + Filling value used to pad missing data on the shorter arrays. + flatten : {False, True}, optional + Whether to collapse nested fields. + usemask : {False, True}, optional + Whether to return a masked array or not. + asrecarray : {False, True}, optional + Whether to return a recarray (MaskedRecords) or not. + + Examples + -------- + >>> from numpy.lib import recfunctions as rfn + >>> rfn.merge_arrays((np.array([1, 2]), np.array([10., 20., 30.]))) + array([( 1, 10.), ( 2, 20.), (-1, 30.)], + dtype=[('f0', '>> rfn.merge_arrays((np.array([1, 2], dtype=np.int64), + ... np.array([10., 20., 30.])), usemask=False) + array([(1, 10.0), (2, 20.0), (-1, 30.0)], + dtype=[('f0', '>> rfn.merge_arrays((np.array([1, 2]).view([('a', np.int64)]), + ... np.array([10., 20., 30.])), + ... usemask=False, asrecarray=True) + rec.array([( 1, 10.), ( 2, 20.), (-1, 30.)], + dtype=[('a', '>> from numpy.lib import recfunctions as rfn + >>> a = np.array([(1, (2, 3.0)), (4, (5, 6.0))], + ... dtype=[('a', np.int64), ('b', [('ba', np.double), ('bb', np.int64)])]) + >>> rfn.drop_fields(a, 'a') + array([((2., 3),), ((5., 6),)], + dtype=[('b', [('ba', '>> rfn.drop_fields(a, 'ba') + array([(1, (3,)), (4, (6,))], dtype=[('a', '>> rfn.drop_fields(a, ['ba', 'bb']) + array([(1,), (4,)], dtype=[('a', '>> from numpy.lib import recfunctions as rfn + >>> a = np.array([(1, (2, [3.0, 30.])), (4, (5, [6.0, 60.]))], + ... dtype=[('a', int),('b', [('ba', float), ('bb', (float, 2))])]) + >>> rfn.rename_fields(a, {'a':'A', 'bb':'BB'}) + array([(1, (2., [ 3., 30.])), (4, (5., [ 6., 60.]))], + dtype=[('A', ' 1: + data = merge_arrays(data, flatten=True, usemask=usemask, + fill_value=fill_value) + else: + data = data.pop() + # + output = ma.masked_all( + max(len(base), len(data)), + dtype=_get_fieldspec(base.dtype) + _get_fieldspec(data.dtype)) + output = recursive_fill_fields(base, output) + output = recursive_fill_fields(data, output) + # + return _fix_output(output, usemask=usemask, asrecarray=asrecarray) + + +def _rec_append_fields_dispatcher(base, names, data, dtypes=None): + yield base + yield from data + + +@array_function_dispatch(_rec_append_fields_dispatcher) +def rec_append_fields(base, names, data, dtypes=None): + """ + Add new fields to an existing array. + + The names of the fields are given with the `names` arguments, + the corresponding values with the `data` arguments. + If a single field is appended, `names`, `data` and `dtypes` do not have + to be lists but just values. + + Parameters + ---------- + base : array + Input array to extend. + names : string, sequence + String or sequence of strings corresponding to the names + of the new fields. + data : array or sequence of arrays + Array or sequence of arrays storing the fields to add to the base. + dtypes : sequence of datatypes, optional + Datatype or sequence of datatypes. + If None, the datatypes are estimated from the `data`. + + See Also + -------- + append_fields + + Returns + ------- + appended_array : np.recarray + """ + return append_fields(base, names, data=data, dtypes=dtypes, + asrecarray=True, usemask=False) + + +def _repack_fields_dispatcher(a, align=None, recurse=None): + return (a,) + + +@array_function_dispatch(_repack_fields_dispatcher) +def repack_fields(a, align=False, recurse=False): + """ + Re-pack the fields of a structured array or dtype in memory. + + The memory layout of structured datatypes allows fields at arbitrary + byte offsets. This means the fields can be separated by padding bytes, + their offsets can be non-monotonically increasing, and they can overlap. + + This method removes any overlaps and reorders the fields in memory so they + have increasing byte offsets, and adds or removes padding bytes depending + on the `align` option, which behaves like the `align` option to + `numpy.dtype`. + + If `align=False`, this method produces a "packed" memory layout in which + each field starts at the byte the previous field ended, and any padding + bytes are removed. + + If `align=True`, this methods produces an "aligned" memory layout in which + each field's offset is a multiple of its alignment, and the total itemsize + is a multiple of the largest alignment, by adding padding bytes as needed. + + Parameters + ---------- + a : ndarray or dtype + array or dtype for which to repack the fields. + align : boolean + If true, use an "aligned" memory layout, otherwise use a "packed" layout. + recurse : boolean + If True, also repack nested structures. + + Returns + ------- + repacked : ndarray or dtype + Copy of `a` with fields repacked, or `a` itself if no repacking was + needed. + + Examples + -------- + + >>> from numpy.lib import recfunctions as rfn + >>> def print_offsets(d): + ... print("offsets:", [d.fields[name][1] for name in d.names]) + ... print("itemsize:", d.itemsize) + ... + >>> dt = np.dtype('u1, >> dt + dtype({'names': ['f0', 'f1', 'f2'], 'formats': ['u1', '>> print_offsets(dt) + offsets: [0, 8, 16] + itemsize: 24 + >>> packed_dt = rfn.repack_fields(dt) + >>> packed_dt + dtype([('f0', 'u1'), ('f1', '>> print_offsets(packed_dt) + offsets: [0, 1, 9] + itemsize: 17 + + """ + if not isinstance(a, np.dtype): + dt = repack_fields(a.dtype, align=align, recurse=recurse) + return a.astype(dt, copy=False) + + if a.names is None: + return a + + fieldinfo = [] + for name in a.names: + tup = a.fields[name] + if recurse: + fmt = repack_fields(tup[0], align=align, recurse=True) + else: + fmt = tup[0] + + if len(tup) == 3: + name = (tup[2], name) + + fieldinfo.append((name, fmt)) + + dt = np.dtype(fieldinfo, align=align) + return np.dtype((a.type, dt)) + +def _get_fields_and_offsets(dt, offset=0): + """ + Returns a flat list of (dtype, count, offset) tuples of all the + scalar fields in the dtype "dt", including nested fields, in left + to right order. + """ + + # counts up elements in subarrays, including nested subarrays, and returns + # base dtype and count + def count_elem(dt): + count = 1 + while dt.shape != (): + for size in dt.shape: + count *= size + dt = dt.base + return dt, count + + fields = [] + for name in dt.names: + field = dt.fields[name] + f_dt, f_offset = field[0], field[1] + f_dt, n = count_elem(f_dt) + + if f_dt.names is None: + fields.append((np.dtype((f_dt, (n,))), n, f_offset + offset)) + else: + subfields = _get_fields_and_offsets(f_dt, f_offset + offset) + size = f_dt.itemsize + + for i in range(n): + if i == 0: + # optimization: avoid list comprehension if no subarray + fields.extend(subfields) + else: + fields.extend([(d, c, o + i*size) for d, c, o in subfields]) + return fields + +def _common_stride(offsets, counts, itemsize): + """ + Returns the stride between the fields, or None if the stride is not + constant. The values in "counts" designate the lengths of + subarrays. Subarrays are treated as many contiguous fields, with + always positive stride. + """ + if len(offsets) <= 1: + return itemsize + + negative = offsets[1] < offsets[0] # negative stride + if negative: + # reverse, so offsets will be ascending + it = zip(reversed(offsets), reversed(counts)) + else: + it = zip(offsets, counts) + + prev_offset = None + stride = None + for offset, count in it: + if count != 1: # subarray: always c-contiguous + if negative: + return None # subarrays can never have a negative stride + if stride is None: + stride = itemsize + if stride != itemsize: + return None + end_offset = offset + (count - 1) * itemsize + else: + end_offset = offset + + if prev_offset is not None: + new_stride = offset - prev_offset + if stride is None: + stride = new_stride + if stride != new_stride: + return None + + prev_offset = end_offset + + if negative: + return -stride + return stride + + +def _structured_to_unstructured_dispatcher(arr, dtype=None, copy=None, + casting=None): + return (arr,) + +@array_function_dispatch(_structured_to_unstructured_dispatcher) +def structured_to_unstructured(arr, dtype=None, copy=False, casting='unsafe'): + """ + Converts an n-D structured array into an (n+1)-D unstructured array. + + The new array will have a new last dimension equal in size to the + number of field-elements of the input array. If not supplied, the output + datatype is determined from the numpy type promotion rules applied to all + the field datatypes. + + Nested fields, as well as each element of any subarray fields, all count + as a single field-elements. + + Parameters + ---------- + arr : ndarray + Structured array or dtype to convert. Cannot contain object datatype. + dtype : dtype, optional + The dtype of the output unstructured array. + copy : bool, optional + If true, always return a copy. If false, a view is returned if + possible, such as when the `dtype` and strides of the fields are + suitable and the array subtype is one of `np.ndarray`, `np.recarray` + or `np.memmap`. + + .. versionchanged:: 1.25.0 + A view can now be returned if the fields are separated by a + uniform stride. + + casting : {'no', 'equiv', 'safe', 'same_kind', 'unsafe'}, optional + See casting argument of `numpy.ndarray.astype`. Controls what kind of + data casting may occur. + + Returns + ------- + unstructured : ndarray + Unstructured array with one more dimension. + + Examples + -------- + + >>> from numpy.lib import recfunctions as rfn + >>> a = np.zeros(4, dtype=[('a', 'i4'), ('b', 'f4,u2'), ('c', 'f4', 2)]) + >>> a + array([(0, (0., 0), [0., 0.]), (0, (0., 0), [0., 0.]), + (0, (0., 0), [0., 0.]), (0, (0., 0), [0., 0.])], + dtype=[('a', '>> rfn.structured_to_unstructured(a) + array([[0., 0., 0., 0., 0.], + [0., 0., 0., 0., 0.], + [0., 0., 0., 0., 0.], + [0., 0., 0., 0., 0.]]) + + >>> b = np.array([(1, 2, 5), (4, 5, 7), (7, 8 ,11), (10, 11, 12)], + ... dtype=[('x', 'i4'), ('y', 'f4'), ('z', 'f8')]) + >>> np.mean(rfn.structured_to_unstructured(b[['x', 'z']]), axis=-1) + array([ 3. , 5.5, 9. , 11. ]) + + """ + if arr.dtype.names is None: + raise ValueError('arr must be a structured array') + + fields = _get_fields_and_offsets(arr.dtype) + n_fields = len(fields) + if n_fields == 0 and dtype is None: + raise ValueError("arr has no fields. Unable to guess dtype") + elif n_fields == 0: + # too many bugs elsewhere for this to work now + raise NotImplementedError("arr with no fields is not supported") + + dts, counts, offsets = zip(*fields) + names = ['f{}'.format(n) for n in range(n_fields)] + + if dtype is None: + out_dtype = np.result_type(*[dt.base for dt in dts]) + else: + out_dtype = np.dtype(dtype) + + # Use a series of views and casts to convert to an unstructured array: + + # first view using flattened fields (doesn't work for object arrays) + # Note: dts may include a shape for subarrays + flattened_fields = np.dtype({'names': names, + 'formats': dts, + 'offsets': offsets, + 'itemsize': arr.dtype.itemsize}) + arr = arr.view(flattened_fields) + + # we only allow a few types to be unstructured by manipulating the + # strides, because we know it won't work with, for example, np.matrix nor + # np.ma.MaskedArray. + can_view = type(arr) in (np.ndarray, np.recarray, np.memmap) + if (not copy) and can_view and all(dt.base == out_dtype for dt in dts): + # all elements have the right dtype already; if they have a common + # stride, we can just return a view + common_stride = _common_stride(offsets, counts, out_dtype.itemsize) + if common_stride is not None: + wrap = arr.__array_wrap__ + + new_shape = arr.shape + (sum(counts), out_dtype.itemsize) + new_strides = arr.strides + (abs(common_stride), 1) + + arr = arr[..., np.newaxis].view(np.uint8) # view as bytes + arr = arr[..., min(offsets):] # remove the leading unused data + arr = np.lib.stride_tricks.as_strided(arr, + new_shape, + new_strides, + subok=True) + + # cast and drop the last dimension again + arr = arr.view(out_dtype)[..., 0] + + if common_stride < 0: + arr = arr[..., ::-1] # reverse, if the stride was negative + if type(arr) is not type(wrap.__self__): + # Some types (e.g. recarray) turn into an ndarray along the + # way, so we have to wrap it again in order to match the + # behavior with copy=True. + arr = wrap(arr) + return arr + + # next cast to a packed format with all fields converted to new dtype + packed_fields = np.dtype({'names': names, + 'formats': [(out_dtype, dt.shape) for dt in dts]}) + arr = arr.astype(packed_fields, copy=copy, casting=casting) + + # finally is it safe to view the packed fields as the unstructured type + return arr.view((out_dtype, (sum(counts),))) + + +def _unstructured_to_structured_dispatcher(arr, dtype=None, names=None, + align=None, copy=None, casting=None): + return (arr,) + +@array_function_dispatch(_unstructured_to_structured_dispatcher) +def unstructured_to_structured(arr, dtype=None, names=None, align=False, + copy=False, casting='unsafe'): + """ + Converts an n-D unstructured array into an (n-1)-D structured array. + + The last dimension of the input array is converted into a structure, with + number of field-elements equal to the size of the last dimension of the + input array. By default all output fields have the input array's dtype, but + an output structured dtype with an equal number of fields-elements can be + supplied instead. + + Nested fields, as well as each element of any subarray fields, all count + towards the number of field-elements. + + Parameters + ---------- + arr : ndarray + Unstructured array or dtype to convert. + dtype : dtype, optional + The structured dtype of the output array + names : list of strings, optional + If dtype is not supplied, this specifies the field names for the output + dtype, in order. The field dtypes will be the same as the input array. + align : boolean, optional + Whether to create an aligned memory layout. + copy : bool, optional + See copy argument to `numpy.ndarray.astype`. If true, always return a + copy. If false, and `dtype` requirements are satisfied, a view is + returned. + casting : {'no', 'equiv', 'safe', 'same_kind', 'unsafe'}, optional + See casting argument of `numpy.ndarray.astype`. Controls what kind of + data casting may occur. + + Returns + ------- + structured : ndarray + Structured array with fewer dimensions. + + Examples + -------- + + >>> from numpy.lib import recfunctions as rfn + >>> dt = np.dtype([('a', 'i4'), ('b', 'f4,u2'), ('c', 'f4', 2)]) + >>> a = np.arange(20).reshape((4,5)) + >>> a + array([[ 0, 1, 2, 3, 4], + [ 5, 6, 7, 8, 9], + [10, 11, 12, 13, 14], + [15, 16, 17, 18, 19]]) + >>> rfn.unstructured_to_structured(a, dt) + array([( 0, ( 1., 2), [ 3., 4.]), ( 5, ( 6., 7), [ 8., 9.]), + (10, (11., 12), [13., 14.]), (15, (16., 17), [18., 19.])], + dtype=[('a', '>> from numpy.lib import recfunctions as rfn + >>> b = np.array([(1, 2, 5), (4, 5, 7), (7, 8 ,11), (10, 11, 12)], + ... dtype=[('x', 'i4'), ('y', 'f4'), ('z', 'f8')]) + >>> rfn.apply_along_fields(np.mean, b) + array([ 2.66666667, 5.33333333, 8.66666667, 11. ]) + >>> rfn.apply_along_fields(np.mean, b[['x', 'z']]) + array([ 3. , 5.5, 9. , 11. ]) + + """ + if arr.dtype.names is None: + raise ValueError('arr must be a structured array') + + uarr = structured_to_unstructured(arr) + return func(uarr, axis=-1) + # works and avoids axis requirement, but very, very slow: + #return np.apply_along_axis(func, -1, uarr) + +def _assign_fields_by_name_dispatcher(dst, src, zero_unassigned=None): + return dst, src + +@array_function_dispatch(_assign_fields_by_name_dispatcher) +def assign_fields_by_name(dst, src, zero_unassigned=True): + """ + Assigns values from one structured array to another by field name. + + Normally in numpy >= 1.14, assignment of one structured array to another + copies fields "by position", meaning that the first field from the src is + copied to the first field of the dst, and so on, regardless of field name. + + This function instead copies "by field name", such that fields in the dst + are assigned from the identically named field in the src. This applies + recursively for nested structures. This is how structure assignment worked + in numpy >= 1.6 to <= 1.13. + + Parameters + ---------- + dst : ndarray + src : ndarray + The source and destination arrays during assignment. + zero_unassigned : bool, optional + If True, fields in the dst for which there was no matching + field in the src are filled with the value 0 (zero). This + was the behavior of numpy <= 1.13. If False, those fields + are not modified. + """ + + if dst.dtype.names is None: + dst[...] = src + return + + for name in dst.dtype.names: + if name not in src.dtype.names: + if zero_unassigned: + dst[name] = 0 + else: + assign_fields_by_name(dst[name], src[name], + zero_unassigned) + +def _require_fields_dispatcher(array, required_dtype): + return (array,) + +@array_function_dispatch(_require_fields_dispatcher) +def require_fields(array, required_dtype): + """ + Casts a structured array to a new dtype using assignment by field-name. + + This function assigns from the old to the new array by name, so the + value of a field in the output array is the value of the field with the + same name in the source array. This has the effect of creating a new + ndarray containing only the fields "required" by the required_dtype. + + If a field name in the required_dtype does not exist in the + input array, that field is created and set to 0 in the output array. + + Parameters + ---------- + a : ndarray + array to cast + required_dtype : dtype + datatype for output array + + Returns + ------- + out : ndarray + array with the new dtype, with field values copied from the fields in + the input array with the same name + + Examples + -------- + + >>> from numpy.lib import recfunctions as rfn + >>> a = np.ones(4, dtype=[('a', 'i4'), ('b', 'f8'), ('c', 'u1')]) + >>> rfn.require_fields(a, [('b', 'f4'), ('c', 'u1')]) + array([(1., 1), (1., 1), (1., 1), (1., 1)], + dtype=[('b', '>> rfn.require_fields(a, [('b', 'f4'), ('newf', 'u1')]) + array([(1., 0), (1., 0), (1., 0), (1., 0)], + dtype=[('b', '>> from numpy.lib import recfunctions as rfn + >>> x = np.array([1, 2,]) + >>> rfn.stack_arrays(x) is x + True + >>> z = np.array([('A', 1), ('B', 2)], dtype=[('A', '|S3'), ('B', float)]) + >>> zz = np.array([('a', 10., 100.), ('b', 20., 200.), ('c', 30., 300.)], + ... dtype=[('A', '|S3'), ('B', np.double), ('C', np.double)]) + >>> test = rfn.stack_arrays((z,zz)) + >>> test + masked_array(data=[(b'A', 1.0, --), (b'B', 2.0, --), (b'a', 10.0, 100.0), + (b'b', 20.0, 200.0), (b'c', 30.0, 300.0)], + mask=[(False, False, True), (False, False, True), + (False, False, False), (False, False, False), + (False, False, False)], + fill_value=(b'N/A', 1.e+20, 1.e+20), + dtype=[('A', 'S3'), ('B', ' '%s'" % + (cdtype, fdtype)) + # Only one field: use concatenate + if len(newdescr) == 1: + output = ma.concatenate(seqarrays) + else: + # + output = ma.masked_all((np.sum(nrecords),), newdescr) + offset = np.cumsum(np.r_[0, nrecords]) + seen = [] + for (a, n, i, j) in zip(seqarrays, fldnames, offset[:-1], offset[1:]): + names = a.dtype.names + if names is None: + output['f%i' % len(seen)][i:j] = a + else: + for name in n: + output[name][i:j] = a[name] + if name not in seen: + seen.append(name) + # + return _fix_output(_fix_defaults(output, defaults), + usemask=usemask, asrecarray=asrecarray) + + +def _find_duplicates_dispatcher( + a, key=None, ignoremask=None, return_index=None): + return (a,) + + +@array_function_dispatch(_find_duplicates_dispatcher) +def find_duplicates(a, key=None, ignoremask=True, return_index=False): + """ + Find the duplicates in a structured array along a given key + + Parameters + ---------- + a : array-like + Input array + key : {string, None}, optional + Name of the fields along which to check the duplicates. + If None, the search is performed by records + ignoremask : {True, False}, optional + Whether masked data should be discarded or considered as duplicates. + return_index : {False, True}, optional + Whether to return the indices of the duplicated values. + + Examples + -------- + >>> from numpy.lib import recfunctions as rfn + >>> ndtype = [('a', int)] + >>> a = np.ma.array([1, 1, 1, 2, 2, 3, 3], + ... mask=[0, 0, 1, 0, 0, 0, 1]).view(ndtype) + >>> rfn.find_duplicates(a, ignoremask=True, return_index=True) + (masked_array(data=[(1,), (1,), (2,), (2,)], + mask=[(False,), (False,), (False,), (False,)], + fill_value=(999999,), + dtype=[('a', '= nb1)] - nb1 + (r1cmn, r2cmn) = (len(idx_1), len(idx_2)) + if jointype == 'inner': + (r1spc, r2spc) = (0, 0) + elif jointype == 'outer': + idx_out = idx_sort[~flag_in] + idx_1 = np.concatenate((idx_1, idx_out[(idx_out < nb1)])) + idx_2 = np.concatenate((idx_2, idx_out[(idx_out >= nb1)] - nb1)) + (r1spc, r2spc) = (len(idx_1) - r1cmn, len(idx_2) - r2cmn) + elif jointype == 'leftouter': + idx_out = idx_sort[~flag_in] + idx_1 = np.concatenate((idx_1, idx_out[(idx_out < nb1)])) + (r1spc, r2spc) = (len(idx_1) - r1cmn, 0) + # Select the entries from each input + (s1, s2) = (r1[idx_1], r2[idx_2]) + # + # Build the new description of the output array ....... + # Start with the key fields + ndtype = _get_fieldspec(r1k.dtype) + + # Add the fields from r1 + for fname, fdtype in _get_fieldspec(r1.dtype): + if fname not in key: + ndtype.append((fname, fdtype)) + + # Add the fields from r2 + for fname, fdtype in _get_fieldspec(r2.dtype): + # Have we seen the current name already ? + # we need to rebuild this list every time + names = list(name for name, dtype in ndtype) + try: + nameidx = names.index(fname) + except ValueError: + #... we haven't: just add the description to the current list + ndtype.append((fname, fdtype)) + else: + # collision + _, cdtype = ndtype[nameidx] + if fname in key: + # The current field is part of the key: take the largest dtype + ndtype[nameidx] = (fname, max(fdtype, cdtype)) + else: + # The current field is not part of the key: add the suffixes, + # and place the new field adjacent to the old one + ndtype[nameidx:nameidx + 1] = [ + (fname + r1postfix, cdtype), + (fname + r2postfix, fdtype) + ] + # Rebuild a dtype from the new fields + ndtype = np.dtype(ndtype) + # Find the largest nb of common fields : + # r1cmn and r2cmn should be equal, but... + cmn = max(r1cmn, r2cmn) + # Construct an empty array + output = ma.masked_all((cmn + r1spc + r2spc,), dtype=ndtype) + names = output.dtype.names + for f in r1names: + selected = s1[f] + if f not in names or (f in r2names and not r2postfix and f not in key): + f += r1postfix + current = output[f] + current[:r1cmn] = selected[:r1cmn] + if jointype in ('outer', 'leftouter'): + current[cmn:cmn + r1spc] = selected[r1cmn:] + for f in r2names: + selected = s2[f] + if f not in names or (f in r1names and not r1postfix and f not in key): + f += r2postfix + current = output[f] + current[:r2cmn] = selected[:r2cmn] + if (jointype == 'outer') and r2spc: + current[-r2spc:] = selected[r2cmn:] + # Sort and finalize the output + output.sort(order=key) + kwargs = dict(usemask=usemask, asrecarray=asrecarray) + return _fix_output(_fix_defaults(output, defaults), **kwargs) + + +def _rec_join_dispatcher( + key, r1, r2, jointype=None, r1postfix=None, r2postfix=None, + defaults=None): + return (r1, r2) + + +@array_function_dispatch(_rec_join_dispatcher) +def rec_join(key, r1, r2, jointype='inner', r1postfix='1', r2postfix='2', + defaults=None): + """ + Join arrays `r1` and `r2` on keys. + Alternative to join_by, that always returns a np.recarray. + + See Also + -------- + join_by : equivalent function + """ + kwargs = dict(jointype=jointype, r1postfix=r1postfix, r2postfix=r2postfix, + defaults=defaults, usemask=False, asrecarray=True) + return join_by(key, r1, r2, **kwargs) diff --git a/lib/python3.12/site-packages/numpy/lib/scimath.py b/lib/python3.12/site-packages/numpy/lib/scimath.py new file mode 100644 index 0000000000000000000000000000000000000000..b7ef0d7109c63cffc7c30f59d97389a4a4a230f7 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/scimath.py @@ -0,0 +1,625 @@ +""" +Wrapper functions to more user-friendly calling of certain math functions +whose output data-type is different than the input data-type in certain +domains of the input. + +For example, for functions like `log` with branch cuts, the versions in this +module provide the mathematically valid answers in the complex plane:: + + >>> import math + >>> np.emath.log(-math.exp(1)) == (1+1j*math.pi) + True + +Similarly, `sqrt`, other base logarithms, `power` and trig functions are +correctly handled. See their respective docstrings for specific examples. + +Functions +--------- + +.. autosummary:: + :toctree: generated/ + + sqrt + log + log2 + logn + log10 + power + arccos + arcsin + arctanh + +""" +import numpy.core.numeric as nx +import numpy.core.numerictypes as nt +from numpy.core.numeric import asarray, any +from numpy.core.overrides import array_function_dispatch +from numpy.lib.type_check import isreal + + +__all__ = [ + 'sqrt', 'log', 'log2', 'logn', 'log10', 'power', 'arccos', 'arcsin', + 'arctanh' + ] + + +_ln2 = nx.log(2.0) + + +def _tocomplex(arr): + """Convert its input `arr` to a complex array. + + The input is returned as a complex array of the smallest type that will fit + the original data: types like single, byte, short, etc. become csingle, + while others become cdouble. + + A copy of the input is always made. + + Parameters + ---------- + arr : array + + Returns + ------- + array + An array with the same input data as the input but in complex form. + + Examples + -------- + + First, consider an input of type short: + + >>> a = np.array([1,2,3],np.short) + + >>> ac = np.lib.scimath._tocomplex(a); ac + array([1.+0.j, 2.+0.j, 3.+0.j], dtype=complex64) + + >>> ac.dtype + dtype('complex64') + + If the input is of type double, the output is correspondingly of the + complex double type as well: + + >>> b = np.array([1,2,3],np.double) + + >>> bc = np.lib.scimath._tocomplex(b); bc + array([1.+0.j, 2.+0.j, 3.+0.j]) + + >>> bc.dtype + dtype('complex128') + + Note that even if the input was complex to begin with, a copy is still + made, since the astype() method always copies: + + >>> c = np.array([1,2,3],np.csingle) + + >>> cc = np.lib.scimath._tocomplex(c); cc + array([1.+0.j, 2.+0.j, 3.+0.j], dtype=complex64) + + >>> c *= 2; c + array([2.+0.j, 4.+0.j, 6.+0.j], dtype=complex64) + + >>> cc + array([1.+0.j, 2.+0.j, 3.+0.j], dtype=complex64) + """ + if issubclass(arr.dtype.type, (nt.single, nt.byte, nt.short, nt.ubyte, + nt.ushort, nt.csingle)): + return arr.astype(nt.csingle) + else: + return arr.astype(nt.cdouble) + + +def _fix_real_lt_zero(x): + """Convert `x` to complex if it has real, negative components. + + Otherwise, output is just the array version of the input (via asarray). + + Parameters + ---------- + x : array_like + + Returns + ------- + array + + Examples + -------- + >>> np.lib.scimath._fix_real_lt_zero([1,2]) + array([1, 2]) + + >>> np.lib.scimath._fix_real_lt_zero([-1,2]) + array([-1.+0.j, 2.+0.j]) + + """ + x = asarray(x) + if any(isreal(x) & (x < 0)): + x = _tocomplex(x) + return x + + +def _fix_int_lt_zero(x): + """Convert `x` to double if it has real, negative components. + + Otherwise, output is just the array version of the input (via asarray). + + Parameters + ---------- + x : array_like + + Returns + ------- + array + + Examples + -------- + >>> np.lib.scimath._fix_int_lt_zero([1,2]) + array([1, 2]) + + >>> np.lib.scimath._fix_int_lt_zero([-1,2]) + array([-1., 2.]) + """ + x = asarray(x) + if any(isreal(x) & (x < 0)): + x = x * 1.0 + return x + + +def _fix_real_abs_gt_1(x): + """Convert `x` to complex if it has real components x_i with abs(x_i)>1. + + Otherwise, output is just the array version of the input (via asarray). + + Parameters + ---------- + x : array_like + + Returns + ------- + array + + Examples + -------- + >>> np.lib.scimath._fix_real_abs_gt_1([0,1]) + array([0, 1]) + + >>> np.lib.scimath._fix_real_abs_gt_1([0,2]) + array([0.+0.j, 2.+0.j]) + """ + x = asarray(x) + if any(isreal(x) & (abs(x) > 1)): + x = _tocomplex(x) + return x + + +def _unary_dispatcher(x): + return (x,) + + +@array_function_dispatch(_unary_dispatcher) +def sqrt(x): + """ + Compute the square root of x. + + For negative input elements, a complex value is returned + (unlike `numpy.sqrt` which returns NaN). + + Parameters + ---------- + x : array_like + The input value(s). + + Returns + ------- + out : ndarray or scalar + The square root of `x`. If `x` was a scalar, so is `out`, + otherwise an array is returned. + + See Also + -------- + numpy.sqrt + + Examples + -------- + For real, non-negative inputs this works just like `numpy.sqrt`: + + >>> np.emath.sqrt(1) + 1.0 + >>> np.emath.sqrt([1, 4]) + array([1., 2.]) + + But it automatically handles negative inputs: + + >>> np.emath.sqrt(-1) + 1j + >>> np.emath.sqrt([-1,4]) + array([0.+1.j, 2.+0.j]) + + Different results are expected because: + floating point 0.0 and -0.0 are distinct. + + For more control, explicitly use complex() as follows: + + >>> np.emath.sqrt(complex(-4.0, 0.0)) + 2j + >>> np.emath.sqrt(complex(-4.0, -0.0)) + -2j + """ + x = _fix_real_lt_zero(x) + return nx.sqrt(x) + + +@array_function_dispatch(_unary_dispatcher) +def log(x): + """ + Compute the natural logarithm of `x`. + + Return the "principal value" (for a description of this, see `numpy.log`) + of :math:`log_e(x)`. For real `x > 0`, this is a real number (``log(0)`` + returns ``-inf`` and ``log(np.inf)`` returns ``inf``). Otherwise, the + complex principle value is returned. + + Parameters + ---------- + x : array_like + The value(s) whose log is (are) required. + + Returns + ------- + out : ndarray or scalar + The log of the `x` value(s). If `x` was a scalar, so is `out`, + otherwise an array is returned. + + See Also + -------- + numpy.log + + Notes + ----- + For a log() that returns ``NAN`` when real `x < 0`, use `numpy.log` + (note, however, that otherwise `numpy.log` and this `log` are identical, + i.e., both return ``-inf`` for `x = 0`, ``inf`` for `x = inf`, and, + notably, the complex principle value if ``x.imag != 0``). + + Examples + -------- + >>> np.emath.log(np.exp(1)) + 1.0 + + Negative arguments are handled "correctly" (recall that + ``exp(log(x)) == x`` does *not* hold for real ``x < 0``): + + >>> np.emath.log(-np.exp(1)) == (1 + np.pi * 1j) + True + + """ + x = _fix_real_lt_zero(x) + return nx.log(x) + + +@array_function_dispatch(_unary_dispatcher) +def log10(x): + """ + Compute the logarithm base 10 of `x`. + + Return the "principal value" (for a description of this, see + `numpy.log10`) of :math:`log_{10}(x)`. For real `x > 0`, this + is a real number (``log10(0)`` returns ``-inf`` and ``log10(np.inf)`` + returns ``inf``). Otherwise, the complex principle value is returned. + + Parameters + ---------- + x : array_like or scalar + The value(s) whose log base 10 is (are) required. + + Returns + ------- + out : ndarray or scalar + The log base 10 of the `x` value(s). If `x` was a scalar, so is `out`, + otherwise an array object is returned. + + See Also + -------- + numpy.log10 + + Notes + ----- + For a log10() that returns ``NAN`` when real `x < 0`, use `numpy.log10` + (note, however, that otherwise `numpy.log10` and this `log10` are + identical, i.e., both return ``-inf`` for `x = 0`, ``inf`` for `x = inf`, + and, notably, the complex principle value if ``x.imag != 0``). + + Examples + -------- + + (We set the printing precision so the example can be auto-tested) + + >>> np.set_printoptions(precision=4) + + >>> np.emath.log10(10**1) + 1.0 + + >>> np.emath.log10([-10**1, -10**2, 10**2]) + array([1.+1.3644j, 2.+1.3644j, 2.+0.j ]) + + """ + x = _fix_real_lt_zero(x) + return nx.log10(x) + + +def _logn_dispatcher(n, x): + return (n, x,) + + +@array_function_dispatch(_logn_dispatcher) +def logn(n, x): + """ + Take log base n of x. + + If `x` contains negative inputs, the answer is computed and returned in the + complex domain. + + Parameters + ---------- + n : array_like + The integer base(s) in which the log is taken. + x : array_like + The value(s) whose log base `n` is (are) required. + + Returns + ------- + out : ndarray or scalar + The log base `n` of the `x` value(s). If `x` was a scalar, so is + `out`, otherwise an array is returned. + + Examples + -------- + >>> np.set_printoptions(precision=4) + + >>> np.emath.logn(2, [4, 8]) + array([2., 3.]) + >>> np.emath.logn(2, [-4, -8, 8]) + array([2.+4.5324j, 3.+4.5324j, 3.+0.j ]) + + """ + x = _fix_real_lt_zero(x) + n = _fix_real_lt_zero(n) + return nx.log(x)/nx.log(n) + + +@array_function_dispatch(_unary_dispatcher) +def log2(x): + """ + Compute the logarithm base 2 of `x`. + + Return the "principal value" (for a description of this, see + `numpy.log2`) of :math:`log_2(x)`. For real `x > 0`, this is + a real number (``log2(0)`` returns ``-inf`` and ``log2(np.inf)`` returns + ``inf``). Otherwise, the complex principle value is returned. + + Parameters + ---------- + x : array_like + The value(s) whose log base 2 is (are) required. + + Returns + ------- + out : ndarray or scalar + The log base 2 of the `x` value(s). If `x` was a scalar, so is `out`, + otherwise an array is returned. + + See Also + -------- + numpy.log2 + + Notes + ----- + For a log2() that returns ``NAN`` when real `x < 0`, use `numpy.log2` + (note, however, that otherwise `numpy.log2` and this `log2` are + identical, i.e., both return ``-inf`` for `x = 0`, ``inf`` for `x = inf`, + and, notably, the complex principle value if ``x.imag != 0``). + + Examples + -------- + We set the printing precision so the example can be auto-tested: + + >>> np.set_printoptions(precision=4) + + >>> np.emath.log2(8) + 3.0 + >>> np.emath.log2([-4, -8, 8]) + array([2.+4.5324j, 3.+4.5324j, 3.+0.j ]) + + """ + x = _fix_real_lt_zero(x) + return nx.log2(x) + + +def _power_dispatcher(x, p): + return (x, p) + + +@array_function_dispatch(_power_dispatcher) +def power(x, p): + """ + Return x to the power p, (x**p). + + If `x` contains negative values, the output is converted to the + complex domain. + + Parameters + ---------- + x : array_like + The input value(s). + p : array_like of ints + The power(s) to which `x` is raised. If `x` contains multiple values, + `p` has to either be a scalar, or contain the same number of values + as `x`. In the latter case, the result is + ``x[0]**p[0], x[1]**p[1], ...``. + + Returns + ------- + out : ndarray or scalar + The result of ``x**p``. If `x` and `p` are scalars, so is `out`, + otherwise an array is returned. + + See Also + -------- + numpy.power + + Examples + -------- + >>> np.set_printoptions(precision=4) + + >>> np.emath.power([2, 4], 2) + array([ 4, 16]) + >>> np.emath.power([2, 4], -2) + array([0.25 , 0.0625]) + >>> np.emath.power([-2, 4], 2) + array([ 4.-0.j, 16.+0.j]) + + """ + x = _fix_real_lt_zero(x) + p = _fix_int_lt_zero(p) + return nx.power(x, p) + + +@array_function_dispatch(_unary_dispatcher) +def arccos(x): + """ + Compute the inverse cosine of x. + + Return the "principal value" (for a description of this, see + `numpy.arccos`) of the inverse cosine of `x`. For real `x` such that + `abs(x) <= 1`, this is a real number in the closed interval + :math:`[0, \\pi]`. Otherwise, the complex principle value is returned. + + Parameters + ---------- + x : array_like or scalar + The value(s) whose arccos is (are) required. + + Returns + ------- + out : ndarray or scalar + The inverse cosine(s) of the `x` value(s). If `x` was a scalar, so + is `out`, otherwise an array object is returned. + + See Also + -------- + numpy.arccos + + Notes + ----- + For an arccos() that returns ``NAN`` when real `x` is not in the + interval ``[-1,1]``, use `numpy.arccos`. + + Examples + -------- + >>> np.set_printoptions(precision=4) + + >>> np.emath.arccos(1) # a scalar is returned + 0.0 + + >>> np.emath.arccos([1,2]) + array([0.-0.j , 0.-1.317j]) + + """ + x = _fix_real_abs_gt_1(x) + return nx.arccos(x) + + +@array_function_dispatch(_unary_dispatcher) +def arcsin(x): + """ + Compute the inverse sine of x. + + Return the "principal value" (for a description of this, see + `numpy.arcsin`) of the inverse sine of `x`. For real `x` such that + `abs(x) <= 1`, this is a real number in the closed interval + :math:`[-\\pi/2, \\pi/2]`. Otherwise, the complex principle value is + returned. + + Parameters + ---------- + x : array_like or scalar + The value(s) whose arcsin is (are) required. + + Returns + ------- + out : ndarray or scalar + The inverse sine(s) of the `x` value(s). If `x` was a scalar, so + is `out`, otherwise an array object is returned. + + See Also + -------- + numpy.arcsin + + Notes + ----- + For an arcsin() that returns ``NAN`` when real `x` is not in the + interval ``[-1,1]``, use `numpy.arcsin`. + + Examples + -------- + >>> np.set_printoptions(precision=4) + + >>> np.emath.arcsin(0) + 0.0 + + >>> np.emath.arcsin([0,1]) + array([0. , 1.5708]) + + """ + x = _fix_real_abs_gt_1(x) + return nx.arcsin(x) + + +@array_function_dispatch(_unary_dispatcher) +def arctanh(x): + """ + Compute the inverse hyperbolic tangent of `x`. + + Return the "principal value" (for a description of this, see + `numpy.arctanh`) of ``arctanh(x)``. For real `x` such that + ``abs(x) < 1``, this is a real number. If `abs(x) > 1`, or if `x` is + complex, the result is complex. Finally, `x = 1` returns``inf`` and + ``x=-1`` returns ``-inf``. + + Parameters + ---------- + x : array_like + The value(s) whose arctanh is (are) required. + + Returns + ------- + out : ndarray or scalar + The inverse hyperbolic tangent(s) of the `x` value(s). If `x` was + a scalar so is `out`, otherwise an array is returned. + + + See Also + -------- + numpy.arctanh + + Notes + ----- + For an arctanh() that returns ``NAN`` when real `x` is not in the + interval ``(-1,1)``, use `numpy.arctanh` (this latter, however, does + return +/-inf for ``x = +/-1``). + + Examples + -------- + >>> np.set_printoptions(precision=4) + + >>> from numpy.testing import suppress_warnings + >>> with suppress_warnings() as sup: + ... sup.filter(RuntimeWarning) + ... np.emath.arctanh(np.eye(2)) + array([[inf, 0.], + [ 0., inf]]) + >>> np.emath.arctanh([1j]) + array([0.+0.7854j]) + + """ + x = _fix_real_abs_gt_1(x) + return nx.arctanh(x) diff --git a/lib/python3.12/site-packages/numpy/lib/scimath.pyi b/lib/python3.12/site-packages/numpy/lib/scimath.pyi new file mode 100644 index 0000000000000000000000000000000000000000..589feb15f8ff38bc5003928f6d934454c8e2a94d --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/scimath.pyi @@ -0,0 +1,94 @@ +from typing import overload, Any + +from numpy import complexfloating + +from numpy._typing import ( + NDArray, + _ArrayLikeFloat_co, + _ArrayLikeComplex_co, + _ComplexLike_co, + _FloatLike_co, +) + +__all__: list[str] + +@overload +def sqrt(x: _FloatLike_co) -> Any: ... +@overload +def sqrt(x: _ComplexLike_co) -> complexfloating[Any, Any]: ... +@overload +def sqrt(x: _ArrayLikeFloat_co) -> NDArray[Any]: ... +@overload +def sqrt(x: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ... + +@overload +def log(x: _FloatLike_co) -> Any: ... +@overload +def log(x: _ComplexLike_co) -> complexfloating[Any, Any]: ... +@overload +def log(x: _ArrayLikeFloat_co) -> NDArray[Any]: ... +@overload +def log(x: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ... + +@overload +def log10(x: _FloatLike_co) -> Any: ... +@overload +def log10(x: _ComplexLike_co) -> complexfloating[Any, Any]: ... +@overload +def log10(x: _ArrayLikeFloat_co) -> NDArray[Any]: ... +@overload +def log10(x: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ... + +@overload +def log2(x: _FloatLike_co) -> Any: ... +@overload +def log2(x: _ComplexLike_co) -> complexfloating[Any, Any]: ... +@overload +def log2(x: _ArrayLikeFloat_co) -> NDArray[Any]: ... +@overload +def log2(x: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ... + +@overload +def logn(n: _FloatLike_co, x: _FloatLike_co) -> Any: ... +@overload +def logn(n: _ComplexLike_co, x: _ComplexLike_co) -> complexfloating[Any, Any]: ... +@overload +def logn(n: _ArrayLikeFloat_co, x: _ArrayLikeFloat_co) -> NDArray[Any]: ... +@overload +def logn(n: _ArrayLikeComplex_co, x: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ... + +@overload +def power(x: _FloatLike_co, p: _FloatLike_co) -> Any: ... +@overload +def power(x: _ComplexLike_co, p: _ComplexLike_co) -> complexfloating[Any, Any]: ... +@overload +def power(x: _ArrayLikeFloat_co, p: _ArrayLikeFloat_co) -> NDArray[Any]: ... +@overload +def power(x: _ArrayLikeComplex_co, p: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ... + +@overload +def arccos(x: _FloatLike_co) -> Any: ... +@overload +def arccos(x: _ComplexLike_co) -> complexfloating[Any, Any]: ... +@overload +def arccos(x: _ArrayLikeFloat_co) -> NDArray[Any]: ... +@overload +def arccos(x: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ... + +@overload +def arcsin(x: _FloatLike_co) -> Any: ... +@overload +def arcsin(x: _ComplexLike_co) -> complexfloating[Any, Any]: ... +@overload +def arcsin(x: _ArrayLikeFloat_co) -> NDArray[Any]: ... +@overload +def arcsin(x: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ... + +@overload +def arctanh(x: _FloatLike_co) -> Any: ... +@overload +def arctanh(x: _ComplexLike_co) -> complexfloating[Any, Any]: ... +@overload +def arctanh(x: _ArrayLikeFloat_co) -> NDArray[Any]: ... +@overload +def arctanh(x: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ... diff --git a/lib/python3.12/site-packages/numpy/lib/setup.py b/lib/python3.12/site-packages/numpy/lib/setup.py new file mode 100644 index 0000000000000000000000000000000000000000..7520b72d7ac02d17b8baecd98918082397632a14 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/setup.py @@ -0,0 +1,12 @@ +def configuration(parent_package='',top_path=None): + from numpy.distutils.misc_util import Configuration + + config = Configuration('lib', parent_package, top_path) + config.add_subpackage('tests') + config.add_data_dir('tests/data') + config.add_data_files('*.pyi') + return config + +if __name__ == '__main__': + from numpy.distutils.core import setup + setup(configuration=configuration) diff --git a/lib/python3.12/site-packages/numpy/lib/shape_base.py b/lib/python3.12/site-packages/numpy/lib/shape_base.py new file mode 100644 index 0000000000000000000000000000000000000000..5d8a41bfe4a9c6d0c5666968a31c78b7c27497dd --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/shape_base.py @@ -0,0 +1,1274 @@ +import functools + +import numpy.core.numeric as _nx +from numpy.core.numeric import asarray, zeros, array, asanyarray +from numpy.core.fromnumeric import reshape, transpose +from numpy.core.multiarray import normalize_axis_index +from numpy.core import overrides +from numpy.core import vstack, atleast_3d +from numpy.core.numeric import normalize_axis_tuple +from numpy.core.shape_base import _arrays_for_stack_dispatcher +from numpy.lib.index_tricks import ndindex +from numpy.matrixlib.defmatrix import matrix # this raises all the right alarm bells + + +__all__ = [ + 'column_stack', 'row_stack', 'dstack', 'array_split', 'split', + 'hsplit', 'vsplit', 'dsplit', 'apply_over_axes', 'expand_dims', + 'apply_along_axis', 'kron', 'tile', 'get_array_wrap', 'take_along_axis', + 'put_along_axis' + ] + + +array_function_dispatch = functools.partial( + overrides.array_function_dispatch, module='numpy') + + +def _make_along_axis_idx(arr_shape, indices, axis): + # compute dimensions to iterate over + if not _nx.issubdtype(indices.dtype, _nx.integer): + raise IndexError('`indices` must be an integer array') + if len(arr_shape) != indices.ndim: + raise ValueError( + "`indices` and `arr` must have the same number of dimensions") + shape_ones = (1,) * indices.ndim + dest_dims = list(range(axis)) + [None] + list(range(axis+1, indices.ndim)) + + # build a fancy index, consisting of orthogonal aranges, with the + # requested index inserted at the right location + fancy_index = [] + for dim, n in zip(dest_dims, arr_shape): + if dim is None: + fancy_index.append(indices) + else: + ind_shape = shape_ones[:dim] + (-1,) + shape_ones[dim+1:] + fancy_index.append(_nx.arange(n).reshape(ind_shape)) + + return tuple(fancy_index) + + +def _take_along_axis_dispatcher(arr, indices, axis): + return (arr, indices) + + +@array_function_dispatch(_take_along_axis_dispatcher) +def take_along_axis(arr, indices, axis): + """ + Take values from the input array by matching 1d index and data slices. + + This iterates over matching 1d slices oriented along the specified axis in + the index and data arrays, and uses the former to look up values in the + latter. These slices can be different lengths. + + Functions returning an index along an axis, like `argsort` and + `argpartition`, produce suitable indices for this function. + + .. versionadded:: 1.15.0 + + Parameters + ---------- + arr : ndarray (Ni..., M, Nk...) + Source array + indices : ndarray (Ni..., J, Nk...) + Indices to take along each 1d slice of `arr`. This must match the + dimension of arr, but dimensions Ni and Nj only need to broadcast + against `arr`. + axis : int + The axis to take 1d slices along. If axis is None, the input array is + treated as if it had first been flattened to 1d, for consistency with + `sort` and `argsort`. + + Returns + ------- + out: ndarray (Ni..., J, Nk...) + The indexed result. + + Notes + ----- + This is equivalent to (but faster than) the following use of `ndindex` and + `s_`, which sets each of ``ii`` and ``kk`` to a tuple of indices:: + + Ni, M, Nk = a.shape[:axis], a.shape[axis], a.shape[axis+1:] + J = indices.shape[axis] # Need not equal M + out = np.empty(Ni + (J,) + Nk) + + for ii in ndindex(Ni): + for kk in ndindex(Nk): + a_1d = a [ii + s_[:,] + kk] + indices_1d = indices[ii + s_[:,] + kk] + out_1d = out [ii + s_[:,] + kk] + for j in range(J): + out_1d[j] = a_1d[indices_1d[j]] + + Equivalently, eliminating the inner loop, the last two lines would be:: + + out_1d[:] = a_1d[indices_1d] + + See Also + -------- + take : Take along an axis, using the same indices for every 1d slice + put_along_axis : + Put values into the destination array by matching 1d index and data slices + + Examples + -------- + + For this sample array + + >>> a = np.array([[10, 30, 20], [60, 40, 50]]) + + We can sort either by using sort directly, or argsort and this function + + >>> np.sort(a, axis=1) + array([[10, 20, 30], + [40, 50, 60]]) + >>> ai = np.argsort(a, axis=1) + >>> ai + array([[0, 2, 1], + [1, 2, 0]]) + >>> np.take_along_axis(a, ai, axis=1) + array([[10, 20, 30], + [40, 50, 60]]) + + The same works for max and min, if you maintain the trivial dimension + with ``keepdims``: + + >>> np.max(a, axis=1, keepdims=True) + array([[30], + [60]]) + >>> ai = np.argmax(a, axis=1, keepdims=True) + >>> ai + array([[1], + [0]]) + >>> np.take_along_axis(a, ai, axis=1) + array([[30], + [60]]) + + If we want to get the max and min at the same time, we can stack the + indices first + + >>> ai_min = np.argmin(a, axis=1, keepdims=True) + >>> ai_max = np.argmax(a, axis=1, keepdims=True) + >>> ai = np.concatenate([ai_min, ai_max], axis=1) + >>> ai + array([[0, 1], + [1, 0]]) + >>> np.take_along_axis(a, ai, axis=1) + array([[10, 30], + [40, 60]]) + """ + # normalize inputs + if axis is None: + arr = arr.flat + arr_shape = (len(arr),) # flatiter has no .shape + axis = 0 + else: + axis = normalize_axis_index(axis, arr.ndim) + arr_shape = arr.shape + + # use the fancy index + return arr[_make_along_axis_idx(arr_shape, indices, axis)] + + +def _put_along_axis_dispatcher(arr, indices, values, axis): + return (arr, indices, values) + + +@array_function_dispatch(_put_along_axis_dispatcher) +def put_along_axis(arr, indices, values, axis): + """ + Put values into the destination array by matching 1d index and data slices. + + This iterates over matching 1d slices oriented along the specified axis in + the index and data arrays, and uses the former to place values into the + latter. These slices can be different lengths. + + Functions returning an index along an axis, like `argsort` and + `argpartition`, produce suitable indices for this function. + + .. versionadded:: 1.15.0 + + Parameters + ---------- + arr : ndarray (Ni..., M, Nk...) + Destination array. + indices : ndarray (Ni..., J, Nk...) + Indices to change along each 1d slice of `arr`. This must match the + dimension of arr, but dimensions in Ni and Nj may be 1 to broadcast + against `arr`. + values : array_like (Ni..., J, Nk...) + values to insert at those indices. Its shape and dimension are + broadcast to match that of `indices`. + axis : int + The axis to take 1d slices along. If axis is None, the destination + array is treated as if a flattened 1d view had been created of it. + + Notes + ----- + This is equivalent to (but faster than) the following use of `ndindex` and + `s_`, which sets each of ``ii`` and ``kk`` to a tuple of indices:: + + Ni, M, Nk = a.shape[:axis], a.shape[axis], a.shape[axis+1:] + J = indices.shape[axis] # Need not equal M + + for ii in ndindex(Ni): + for kk in ndindex(Nk): + a_1d = a [ii + s_[:,] + kk] + indices_1d = indices[ii + s_[:,] + kk] + values_1d = values [ii + s_[:,] + kk] + for j in range(J): + a_1d[indices_1d[j]] = values_1d[j] + + Equivalently, eliminating the inner loop, the last two lines would be:: + + a_1d[indices_1d] = values_1d + + See Also + -------- + take_along_axis : + Take values from the input array by matching 1d index and data slices + + Examples + -------- + + For this sample array + + >>> a = np.array([[10, 30, 20], [60, 40, 50]]) + + We can replace the maximum values with: + + >>> ai = np.argmax(a, axis=1, keepdims=True) + >>> ai + array([[1], + [0]]) + >>> np.put_along_axis(a, ai, 99, axis=1) + >>> a + array([[10, 99, 20], + [99, 40, 50]]) + + """ + # normalize inputs + if axis is None: + arr = arr.flat + axis = 0 + arr_shape = (len(arr),) # flatiter has no .shape + else: + axis = normalize_axis_index(axis, arr.ndim) + arr_shape = arr.shape + + # use the fancy index + arr[_make_along_axis_idx(arr_shape, indices, axis)] = values + + +def _apply_along_axis_dispatcher(func1d, axis, arr, *args, **kwargs): + return (arr,) + + +@array_function_dispatch(_apply_along_axis_dispatcher) +def apply_along_axis(func1d, axis, arr, *args, **kwargs): + """ + Apply a function to 1-D slices along the given axis. + + Execute `func1d(a, *args, **kwargs)` where `func1d` operates on 1-D arrays + and `a` is a 1-D slice of `arr` along `axis`. + + This is equivalent to (but faster than) the following use of `ndindex` and + `s_`, which sets each of ``ii``, ``jj``, and ``kk`` to a tuple of indices:: + + Ni, Nk = a.shape[:axis], a.shape[axis+1:] + for ii in ndindex(Ni): + for kk in ndindex(Nk): + f = func1d(arr[ii + s_[:,] + kk]) + Nj = f.shape + for jj in ndindex(Nj): + out[ii + jj + kk] = f[jj] + + Equivalently, eliminating the inner loop, this can be expressed as:: + + Ni, Nk = a.shape[:axis], a.shape[axis+1:] + for ii in ndindex(Ni): + for kk in ndindex(Nk): + out[ii + s_[...,] + kk] = func1d(arr[ii + s_[:,] + kk]) + + Parameters + ---------- + func1d : function (M,) -> (Nj...) + This function should accept 1-D arrays. It is applied to 1-D + slices of `arr` along the specified axis. + axis : integer + Axis along which `arr` is sliced. + arr : ndarray (Ni..., M, Nk...) + Input array. + args : any + Additional arguments to `func1d`. + kwargs : any + Additional named arguments to `func1d`. + + .. versionadded:: 1.9.0 + + + Returns + ------- + out : ndarray (Ni..., Nj..., Nk...) + The output array. The shape of `out` is identical to the shape of + `arr`, except along the `axis` dimension. This axis is removed, and + replaced with new dimensions equal to the shape of the return value + of `func1d`. So if `func1d` returns a scalar `out` will have one + fewer dimensions than `arr`. + + See Also + -------- + apply_over_axes : Apply a function repeatedly over multiple axes. + + Examples + -------- + >>> def my_func(a): + ... \"\"\"Average first and last element of a 1-D array\"\"\" + ... return (a[0] + a[-1]) * 0.5 + >>> b = np.array([[1,2,3], [4,5,6], [7,8,9]]) + >>> np.apply_along_axis(my_func, 0, b) + array([4., 5., 6.]) + >>> np.apply_along_axis(my_func, 1, b) + array([2., 5., 8.]) + + For a function that returns a 1D array, the number of dimensions in + `outarr` is the same as `arr`. + + >>> b = np.array([[8,1,7], [4,3,9], [5,2,6]]) + >>> np.apply_along_axis(sorted, 1, b) + array([[1, 7, 8], + [3, 4, 9], + [2, 5, 6]]) + + For a function that returns a higher dimensional array, those dimensions + are inserted in place of the `axis` dimension. + + >>> b = np.array([[1,2,3], [4,5,6], [7,8,9]]) + >>> np.apply_along_axis(np.diag, -1, b) + array([[[1, 0, 0], + [0, 2, 0], + [0, 0, 3]], + [[4, 0, 0], + [0, 5, 0], + [0, 0, 6]], + [[7, 0, 0], + [0, 8, 0], + [0, 0, 9]]]) + """ + # handle negative axes + arr = asanyarray(arr) + nd = arr.ndim + axis = normalize_axis_index(axis, nd) + + # arr, with the iteration axis at the end + in_dims = list(range(nd)) + inarr_view = transpose(arr, in_dims[:axis] + in_dims[axis+1:] + [axis]) + + # compute indices for the iteration axes, and append a trailing ellipsis to + # prevent 0d arrays decaying to scalars, which fixes gh-8642 + inds = ndindex(inarr_view.shape[:-1]) + inds = (ind + (Ellipsis,) for ind in inds) + + # invoke the function on the first item + try: + ind0 = next(inds) + except StopIteration: + raise ValueError( + 'Cannot apply_along_axis when any iteration dimensions are 0' + ) from None + res = asanyarray(func1d(inarr_view[ind0], *args, **kwargs)) + + # build a buffer for storing evaluations of func1d. + # remove the requested axis, and add the new ones on the end. + # laid out so that each write is contiguous. + # for a tuple index inds, buff[inds] = func1d(inarr_view[inds]) + buff = zeros(inarr_view.shape[:-1] + res.shape, res.dtype) + + # permutation of axes such that out = buff.transpose(buff_permute) + buff_dims = list(range(buff.ndim)) + buff_permute = ( + buff_dims[0 : axis] + + buff_dims[buff.ndim-res.ndim : buff.ndim] + + buff_dims[axis : buff.ndim-res.ndim] + ) + + # matrices have a nasty __array_prepare__ and __array_wrap__ + if not isinstance(res, matrix): + buff = res.__array_prepare__(buff) + + # save the first result, then compute and save all remaining results + buff[ind0] = res + for ind in inds: + buff[ind] = asanyarray(func1d(inarr_view[ind], *args, **kwargs)) + + if not isinstance(res, matrix): + # wrap the array, to preserve subclasses + buff = res.__array_wrap__(buff) + + # finally, rotate the inserted axes back to where they belong + return transpose(buff, buff_permute) + + else: + # matrices have to be transposed first, because they collapse dimensions! + out_arr = transpose(buff, buff_permute) + return res.__array_wrap__(out_arr) + + +def _apply_over_axes_dispatcher(func, a, axes): + return (a,) + + +@array_function_dispatch(_apply_over_axes_dispatcher) +def apply_over_axes(func, a, axes): + """ + Apply a function repeatedly over multiple axes. + + `func` is called as `res = func(a, axis)`, where `axis` is the first + element of `axes`. The result `res` of the function call must have + either the same dimensions as `a` or one less dimension. If `res` + has one less dimension than `a`, a dimension is inserted before + `axis`. The call to `func` is then repeated for each axis in `axes`, + with `res` as the first argument. + + Parameters + ---------- + func : function + This function must take two arguments, `func(a, axis)`. + a : array_like + Input array. + axes : array_like + Axes over which `func` is applied; the elements must be integers. + + Returns + ------- + apply_over_axis : ndarray + The output array. The number of dimensions is the same as `a`, + but the shape can be different. This depends on whether `func` + changes the shape of its output with respect to its input. + + See Also + -------- + apply_along_axis : + Apply a function to 1-D slices of an array along the given axis. + + Notes + ----- + This function is equivalent to tuple axis arguments to reorderable ufuncs + with keepdims=True. Tuple axis arguments to ufuncs have been available since + version 1.7.0. + + Examples + -------- + >>> a = np.arange(24).reshape(2,3,4) + >>> a + array([[[ 0, 1, 2, 3], + [ 4, 5, 6, 7], + [ 8, 9, 10, 11]], + [[12, 13, 14, 15], + [16, 17, 18, 19], + [20, 21, 22, 23]]]) + + Sum over axes 0 and 2. The result has same number of dimensions + as the original array: + + >>> np.apply_over_axes(np.sum, a, [0,2]) + array([[[ 60], + [ 92], + [124]]]) + + Tuple axis arguments to ufuncs are equivalent: + + >>> np.sum(a, axis=(0,2), keepdims=True) + array([[[ 60], + [ 92], + [124]]]) + + """ + val = asarray(a) + N = a.ndim + if array(axes).ndim == 0: + axes = (axes,) + for axis in axes: + if axis < 0: + axis = N + axis + args = (val, axis) + res = func(*args) + if res.ndim == val.ndim: + val = res + else: + res = expand_dims(res, axis) + if res.ndim == val.ndim: + val = res + else: + raise ValueError("function is not returning " + "an array of the correct shape") + return val + + +def _expand_dims_dispatcher(a, axis): + return (a,) + + +@array_function_dispatch(_expand_dims_dispatcher) +def expand_dims(a, axis): + """ + Expand the shape of an array. + + Insert a new axis that will appear at the `axis` position in the expanded + array shape. + + Parameters + ---------- + a : array_like + Input array. + axis : int or tuple of ints + Position in the expanded axes where the new axis (or axes) is placed. + + .. deprecated:: 1.13.0 + Passing an axis where ``axis > a.ndim`` will be treated as + ``axis == a.ndim``, and passing ``axis < -a.ndim - 1`` will + be treated as ``axis == 0``. This behavior is deprecated. + + .. versionchanged:: 1.18.0 + A tuple of axes is now supported. Out of range axes as + described above are now forbidden and raise an `AxisError`. + + Returns + ------- + result : ndarray + View of `a` with the number of dimensions increased. + + See Also + -------- + squeeze : The inverse operation, removing singleton dimensions + reshape : Insert, remove, and combine dimensions, and resize existing ones + doc.indexing, atleast_1d, atleast_2d, atleast_3d + + Examples + -------- + >>> x = np.array([1, 2]) + >>> x.shape + (2,) + + The following is equivalent to ``x[np.newaxis, :]`` or ``x[np.newaxis]``: + + >>> y = np.expand_dims(x, axis=0) + >>> y + array([[1, 2]]) + >>> y.shape + (1, 2) + + The following is equivalent to ``x[:, np.newaxis]``: + + >>> y = np.expand_dims(x, axis=1) + >>> y + array([[1], + [2]]) + >>> y.shape + (2, 1) + + ``axis`` may also be a tuple: + + >>> y = np.expand_dims(x, axis=(0, 1)) + >>> y + array([[[1, 2]]]) + + >>> y = np.expand_dims(x, axis=(2, 0)) + >>> y + array([[[1], + [2]]]) + + Note that some examples may use ``None`` instead of ``np.newaxis``. These + are the same objects: + + >>> np.newaxis is None + True + + """ + if isinstance(a, matrix): + a = asarray(a) + else: + a = asanyarray(a) + + if type(axis) not in (tuple, list): + axis = (axis,) + + out_ndim = len(axis) + a.ndim + axis = normalize_axis_tuple(axis, out_ndim) + + shape_it = iter(a.shape) + shape = [1 if ax in axis else next(shape_it) for ax in range(out_ndim)] + + return a.reshape(shape) + + +row_stack = vstack + + +def _column_stack_dispatcher(tup): + return _arrays_for_stack_dispatcher(tup) + + +@array_function_dispatch(_column_stack_dispatcher) +def column_stack(tup): + """ + Stack 1-D arrays as columns into a 2-D array. + + Take a sequence of 1-D arrays and stack them as columns + to make a single 2-D array. 2-D arrays are stacked as-is, + just like with `hstack`. 1-D arrays are turned into 2-D columns + first. + + Parameters + ---------- + tup : sequence of 1-D or 2-D arrays. + Arrays to stack. All of them must have the same first dimension. + + Returns + ------- + stacked : 2-D array + The array formed by stacking the given arrays. + + See Also + -------- + stack, hstack, vstack, concatenate + + Examples + -------- + >>> a = np.array((1,2,3)) + >>> b = np.array((2,3,4)) + >>> np.column_stack((a,b)) + array([[1, 2], + [2, 3], + [3, 4]]) + + """ + arrays = [] + for v in tup: + arr = asanyarray(v) + if arr.ndim < 2: + arr = array(arr, copy=False, subok=True, ndmin=2).T + arrays.append(arr) + return _nx.concatenate(arrays, 1) + + +def _dstack_dispatcher(tup): + return _arrays_for_stack_dispatcher(tup) + + +@array_function_dispatch(_dstack_dispatcher) +def dstack(tup): + """ + Stack arrays in sequence depth wise (along third axis). + + This is equivalent to concatenation along the third axis after 2-D arrays + of shape `(M,N)` have been reshaped to `(M,N,1)` and 1-D arrays of shape + `(N,)` have been reshaped to `(1,N,1)`. Rebuilds arrays divided by + `dsplit`. + + This function makes most sense for arrays with up to 3 dimensions. For + instance, for pixel-data with a height (first axis), width (second axis), + and r/g/b channels (third axis). The functions `concatenate`, `stack` and + `block` provide more general stacking and concatenation operations. + + Parameters + ---------- + tup : sequence of arrays + The arrays must have the same shape along all but the third axis. + 1-D or 2-D arrays must have the same shape. + + Returns + ------- + stacked : ndarray + The array formed by stacking the given arrays, will be at least 3-D. + + See Also + -------- + concatenate : Join a sequence of arrays along an existing axis. + stack : Join a sequence of arrays along a new axis. + block : Assemble an nd-array from nested lists of blocks. + vstack : Stack arrays in sequence vertically (row wise). + hstack : Stack arrays in sequence horizontally (column wise). + column_stack : Stack 1-D arrays as columns into a 2-D array. + dsplit : Split array along third axis. + + Examples + -------- + >>> a = np.array((1,2,3)) + >>> b = np.array((2,3,4)) + >>> np.dstack((a,b)) + array([[[1, 2], + [2, 3], + [3, 4]]]) + + >>> a = np.array([[1],[2],[3]]) + >>> b = np.array([[2],[3],[4]]) + >>> np.dstack((a,b)) + array([[[1, 2]], + [[2, 3]], + [[3, 4]]]) + + """ + arrs = atleast_3d(*tup) + if not isinstance(arrs, list): + arrs = [arrs] + return _nx.concatenate(arrs, 2) + + +def _replace_zero_by_x_arrays(sub_arys): + for i in range(len(sub_arys)): + if _nx.ndim(sub_arys[i]) == 0: + sub_arys[i] = _nx.empty(0, dtype=sub_arys[i].dtype) + elif _nx.sometrue(_nx.equal(_nx.shape(sub_arys[i]), 0)): + sub_arys[i] = _nx.empty(0, dtype=sub_arys[i].dtype) + return sub_arys + + +def _array_split_dispatcher(ary, indices_or_sections, axis=None): + return (ary, indices_or_sections) + + +@array_function_dispatch(_array_split_dispatcher) +def array_split(ary, indices_or_sections, axis=0): + """ + Split an array into multiple sub-arrays. + + Please refer to the ``split`` documentation. The only difference + between these functions is that ``array_split`` allows + `indices_or_sections` to be an integer that does *not* equally + divide the axis. For an array of length l that should be split + into n sections, it returns l % n sub-arrays of size l//n + 1 + and the rest of size l//n. + + See Also + -------- + split : Split array into multiple sub-arrays of equal size. + + Examples + -------- + >>> x = np.arange(8.0) + >>> np.array_split(x, 3) + [array([0., 1., 2.]), array([3., 4., 5.]), array([6., 7.])] + + >>> x = np.arange(9) + >>> np.array_split(x, 4) + [array([0, 1, 2]), array([3, 4]), array([5, 6]), array([7, 8])] + + """ + try: + Ntotal = ary.shape[axis] + except AttributeError: + Ntotal = len(ary) + try: + # handle array case. + Nsections = len(indices_or_sections) + 1 + div_points = [0] + list(indices_or_sections) + [Ntotal] + except TypeError: + # indices_or_sections is a scalar, not an array. + Nsections = int(indices_or_sections) + if Nsections <= 0: + raise ValueError('number sections must be larger than 0.') from None + Neach_section, extras = divmod(Ntotal, Nsections) + section_sizes = ([0] + + extras * [Neach_section+1] + + (Nsections-extras) * [Neach_section]) + div_points = _nx.array(section_sizes, dtype=_nx.intp).cumsum() + + sub_arys = [] + sary = _nx.swapaxes(ary, axis, 0) + for i in range(Nsections): + st = div_points[i] + end = div_points[i + 1] + sub_arys.append(_nx.swapaxes(sary[st:end], axis, 0)) + + return sub_arys + + +def _split_dispatcher(ary, indices_or_sections, axis=None): + return (ary, indices_or_sections) + + +@array_function_dispatch(_split_dispatcher) +def split(ary, indices_or_sections, axis=0): + """ + Split an array into multiple sub-arrays as views into `ary`. + + Parameters + ---------- + ary : ndarray + Array to be divided into sub-arrays. + indices_or_sections : int or 1-D array + If `indices_or_sections` is an integer, N, the array will be divided + into N equal arrays along `axis`. If such a split is not possible, + an error is raised. + + If `indices_or_sections` is a 1-D array of sorted integers, the entries + indicate where along `axis` the array is split. For example, + ``[2, 3]`` would, for ``axis=0``, result in + + - ary[:2] + - ary[2:3] + - ary[3:] + + If an index exceeds the dimension of the array along `axis`, + an empty sub-array is returned correspondingly. + axis : int, optional + The axis along which to split, default is 0. + + Returns + ------- + sub-arrays : list of ndarrays + A list of sub-arrays as views into `ary`. + + Raises + ------ + ValueError + If `indices_or_sections` is given as an integer, but + a split does not result in equal division. + + See Also + -------- + array_split : Split an array into multiple sub-arrays of equal or + near-equal size. Does not raise an exception if + an equal division cannot be made. + hsplit : Split array into multiple sub-arrays horizontally (column-wise). + vsplit : Split array into multiple sub-arrays vertically (row wise). + dsplit : Split array into multiple sub-arrays along the 3rd axis (depth). + concatenate : Join a sequence of arrays along an existing axis. + stack : Join a sequence of arrays along a new axis. + hstack : Stack arrays in sequence horizontally (column wise). + vstack : Stack arrays in sequence vertically (row wise). + dstack : Stack arrays in sequence depth wise (along third dimension). + + Examples + -------- + >>> x = np.arange(9.0) + >>> np.split(x, 3) + [array([0., 1., 2.]), array([3., 4., 5.]), array([6., 7., 8.])] + + >>> x = np.arange(8.0) + >>> np.split(x, [3, 5, 6, 10]) + [array([0., 1., 2.]), + array([3., 4.]), + array([5.]), + array([6., 7.]), + array([], dtype=float64)] + + """ + try: + len(indices_or_sections) + except TypeError: + sections = indices_or_sections + N = ary.shape[axis] + if N % sections: + raise ValueError( + 'array split does not result in an equal division') from None + return array_split(ary, indices_or_sections, axis) + + +def _hvdsplit_dispatcher(ary, indices_or_sections): + return (ary, indices_or_sections) + + +@array_function_dispatch(_hvdsplit_dispatcher) +def hsplit(ary, indices_or_sections): + """ + Split an array into multiple sub-arrays horizontally (column-wise). + + Please refer to the `split` documentation. `hsplit` is equivalent + to `split` with ``axis=1``, the array is always split along the second + axis except for 1-D arrays, where it is split at ``axis=0``. + + See Also + -------- + split : Split an array into multiple sub-arrays of equal size. + + Examples + -------- + >>> x = np.arange(16.0).reshape(4, 4) + >>> x + array([[ 0., 1., 2., 3.], + [ 4., 5., 6., 7.], + [ 8., 9., 10., 11.], + [12., 13., 14., 15.]]) + >>> np.hsplit(x, 2) + [array([[ 0., 1.], + [ 4., 5.], + [ 8., 9.], + [12., 13.]]), + array([[ 2., 3.], + [ 6., 7.], + [10., 11.], + [14., 15.]])] + >>> np.hsplit(x, np.array([3, 6])) + [array([[ 0., 1., 2.], + [ 4., 5., 6.], + [ 8., 9., 10.], + [12., 13., 14.]]), + array([[ 3.], + [ 7.], + [11.], + [15.]]), + array([], shape=(4, 0), dtype=float64)] + + With a higher dimensional array the split is still along the second axis. + + >>> x = np.arange(8.0).reshape(2, 2, 2) + >>> x + array([[[0., 1.], + [2., 3.]], + [[4., 5.], + [6., 7.]]]) + >>> np.hsplit(x, 2) + [array([[[0., 1.]], + [[4., 5.]]]), + array([[[2., 3.]], + [[6., 7.]]])] + + With a 1-D array, the split is along axis 0. + + >>> x = np.array([0, 1, 2, 3, 4, 5]) + >>> np.hsplit(x, 2) + [array([0, 1, 2]), array([3, 4, 5])] + + """ + if _nx.ndim(ary) == 0: + raise ValueError('hsplit only works on arrays of 1 or more dimensions') + if ary.ndim > 1: + return split(ary, indices_or_sections, 1) + else: + return split(ary, indices_or_sections, 0) + + +@array_function_dispatch(_hvdsplit_dispatcher) +def vsplit(ary, indices_or_sections): + """ + Split an array into multiple sub-arrays vertically (row-wise). + + Please refer to the ``split`` documentation. ``vsplit`` is equivalent + to ``split`` with `axis=0` (default), the array is always split along the + first axis regardless of the array dimension. + + See Also + -------- + split : Split an array into multiple sub-arrays of equal size. + + Examples + -------- + >>> x = np.arange(16.0).reshape(4, 4) + >>> x + array([[ 0., 1., 2., 3.], + [ 4., 5., 6., 7.], + [ 8., 9., 10., 11.], + [12., 13., 14., 15.]]) + >>> np.vsplit(x, 2) + [array([[0., 1., 2., 3.], + [4., 5., 6., 7.]]), array([[ 8., 9., 10., 11.], + [12., 13., 14., 15.]])] + >>> np.vsplit(x, np.array([3, 6])) + [array([[ 0., 1., 2., 3.], + [ 4., 5., 6., 7.], + [ 8., 9., 10., 11.]]), array([[12., 13., 14., 15.]]), array([], shape=(0, 4), dtype=float64)] + + With a higher dimensional array the split is still along the first axis. + + >>> x = np.arange(8.0).reshape(2, 2, 2) + >>> x + array([[[0., 1.], + [2., 3.]], + [[4., 5.], + [6., 7.]]]) + >>> np.vsplit(x, 2) + [array([[[0., 1.], + [2., 3.]]]), array([[[4., 5.], + [6., 7.]]])] + + """ + if _nx.ndim(ary) < 2: + raise ValueError('vsplit only works on arrays of 2 or more dimensions') + return split(ary, indices_or_sections, 0) + + +@array_function_dispatch(_hvdsplit_dispatcher) +def dsplit(ary, indices_or_sections): + """ + Split array into multiple sub-arrays along the 3rd axis (depth). + + Please refer to the `split` documentation. `dsplit` is equivalent + to `split` with ``axis=2``, the array is always split along the third + axis provided the array dimension is greater than or equal to 3. + + See Also + -------- + split : Split an array into multiple sub-arrays of equal size. + + Examples + -------- + >>> x = np.arange(16.0).reshape(2, 2, 4) + >>> x + array([[[ 0., 1., 2., 3.], + [ 4., 5., 6., 7.]], + [[ 8., 9., 10., 11.], + [12., 13., 14., 15.]]]) + >>> np.dsplit(x, 2) + [array([[[ 0., 1.], + [ 4., 5.]], + [[ 8., 9.], + [12., 13.]]]), array([[[ 2., 3.], + [ 6., 7.]], + [[10., 11.], + [14., 15.]]])] + >>> np.dsplit(x, np.array([3, 6])) + [array([[[ 0., 1., 2.], + [ 4., 5., 6.]], + [[ 8., 9., 10.], + [12., 13., 14.]]]), + array([[[ 3.], + [ 7.]], + [[11.], + [15.]]]), + array([], shape=(2, 2, 0), dtype=float64)] + """ + if _nx.ndim(ary) < 3: + raise ValueError('dsplit only works on arrays of 3 or more dimensions') + return split(ary, indices_or_sections, 2) + + +def get_array_prepare(*args): + """Find the wrapper for the array with the highest priority. + + In case of ties, leftmost wins. If no wrapper is found, return None + """ + wrappers = sorted((getattr(x, '__array_priority__', 0), -i, + x.__array_prepare__) for i, x in enumerate(args) + if hasattr(x, '__array_prepare__')) + if wrappers: + return wrappers[-1][-1] + return None + + +def get_array_wrap(*args): + """Find the wrapper for the array with the highest priority. + + In case of ties, leftmost wins. If no wrapper is found, return None + """ + wrappers = sorted((getattr(x, '__array_priority__', 0), -i, + x.__array_wrap__) for i, x in enumerate(args) + if hasattr(x, '__array_wrap__')) + if wrappers: + return wrappers[-1][-1] + return None + + +def _kron_dispatcher(a, b): + return (a, b) + + +@array_function_dispatch(_kron_dispatcher) +def kron(a, b): + """ + Kronecker product of two arrays. + + Computes the Kronecker product, a composite array made of blocks of the + second array scaled by the first. + + Parameters + ---------- + a, b : array_like + + Returns + ------- + out : ndarray + + See Also + -------- + outer : The outer product + + Notes + ----- + The function assumes that the number of dimensions of `a` and `b` + are the same, if necessary prepending the smallest with ones. + If ``a.shape = (r0,r1,..,rN)`` and ``b.shape = (s0,s1,...,sN)``, + the Kronecker product has shape ``(r0*s0, r1*s1, ..., rN*SN)``. + The elements are products of elements from `a` and `b`, organized + explicitly by:: + + kron(a,b)[k0,k1,...,kN] = a[i0,i1,...,iN] * b[j0,j1,...,jN] + + where:: + + kt = it * st + jt, t = 0,...,N + + In the common 2-D case (N=1), the block structure can be visualized:: + + [[ a[0,0]*b, a[0,1]*b, ... , a[0,-1]*b ], + [ ... ... ], + [ a[-1,0]*b, a[-1,1]*b, ... , a[-1,-1]*b ]] + + + Examples + -------- + >>> np.kron([1,10,100], [5,6,7]) + array([ 5, 6, 7, ..., 500, 600, 700]) + >>> np.kron([5,6,7], [1,10,100]) + array([ 5, 50, 500, ..., 7, 70, 700]) + + >>> np.kron(np.eye(2), np.ones((2,2))) + array([[1., 1., 0., 0.], + [1., 1., 0., 0.], + [0., 0., 1., 1.], + [0., 0., 1., 1.]]) + + >>> a = np.arange(100).reshape((2,5,2,5)) + >>> b = np.arange(24).reshape((2,3,4)) + >>> c = np.kron(a,b) + >>> c.shape + (2, 10, 6, 20) + >>> I = (1,3,0,2) + >>> J = (0,2,1) + >>> J1 = (0,) + J # extend to ndim=4 + >>> S1 = (1,) + b.shape + >>> K = tuple(np.array(I) * np.array(S1) + np.array(J1)) + >>> c[K] == a[I]*b[J] + True + + """ + # Working: + # 1. Equalise the shapes by prepending smaller array with 1s + # 2. Expand shapes of both the arrays by adding new axes at + # odd positions for 1st array and even positions for 2nd + # 3. Compute the product of the modified array + # 4. The inner most array elements now contain the rows of + # the Kronecker product + # 5. Reshape the result to kron's shape, which is same as + # product of shapes of the two arrays. + b = asanyarray(b) + a = array(a, copy=False, subok=True, ndmin=b.ndim) + is_any_mat = isinstance(a, matrix) or isinstance(b, matrix) + ndb, nda = b.ndim, a.ndim + nd = max(ndb, nda) + + if (nda == 0 or ndb == 0): + return _nx.multiply(a, b) + + as_ = a.shape + bs = b.shape + if not a.flags.contiguous: + a = reshape(a, as_) + if not b.flags.contiguous: + b = reshape(b, bs) + + # Equalise the shapes by prepending smaller one with 1s + as_ = (1,)*max(0, ndb-nda) + as_ + bs = (1,)*max(0, nda-ndb) + bs + + # Insert empty dimensions + a_arr = expand_dims(a, axis=tuple(range(ndb-nda))) + b_arr = expand_dims(b, axis=tuple(range(nda-ndb))) + + # Compute the product + a_arr = expand_dims(a_arr, axis=tuple(range(1, nd*2, 2))) + b_arr = expand_dims(b_arr, axis=tuple(range(0, nd*2, 2))) + # In case of `mat`, convert result to `array` + result = _nx.multiply(a_arr, b_arr, subok=(not is_any_mat)) + + # Reshape back + result = result.reshape(_nx.multiply(as_, bs)) + + return result if not is_any_mat else matrix(result, copy=False) + + +def _tile_dispatcher(A, reps): + return (A, reps) + + +@array_function_dispatch(_tile_dispatcher) +def tile(A, reps): + """ + Construct an array by repeating A the number of times given by reps. + + If `reps` has length ``d``, the result will have dimension of + ``max(d, A.ndim)``. + + If ``A.ndim < d``, `A` is promoted to be d-dimensional by prepending new + axes. So a shape (3,) array is promoted to (1, 3) for 2-D replication, + or shape (1, 1, 3) for 3-D replication. If this is not the desired + behavior, promote `A` to d-dimensions manually before calling this + function. + + If ``A.ndim > d``, `reps` is promoted to `A`.ndim by pre-pending 1's to it. + Thus for an `A` of shape (2, 3, 4, 5), a `reps` of (2, 2) is treated as + (1, 1, 2, 2). + + Note : Although tile may be used for broadcasting, it is strongly + recommended to use numpy's broadcasting operations and functions. + + Parameters + ---------- + A : array_like + The input array. + reps : array_like + The number of repetitions of `A` along each axis. + + Returns + ------- + c : ndarray + The tiled output array. + + See Also + -------- + repeat : Repeat elements of an array. + broadcast_to : Broadcast an array to a new shape + + Examples + -------- + >>> a = np.array([0, 1, 2]) + >>> np.tile(a, 2) + array([0, 1, 2, 0, 1, 2]) + >>> np.tile(a, (2, 2)) + array([[0, 1, 2, 0, 1, 2], + [0, 1, 2, 0, 1, 2]]) + >>> np.tile(a, (2, 1, 2)) + array([[[0, 1, 2, 0, 1, 2]], + [[0, 1, 2, 0, 1, 2]]]) + + >>> b = np.array([[1, 2], [3, 4]]) + >>> np.tile(b, 2) + array([[1, 2, 1, 2], + [3, 4, 3, 4]]) + >>> np.tile(b, (2, 1)) + array([[1, 2], + [3, 4], + [1, 2], + [3, 4]]) + + >>> c = np.array([1,2,3,4]) + >>> np.tile(c,(4,1)) + array([[1, 2, 3, 4], + [1, 2, 3, 4], + [1, 2, 3, 4], + [1, 2, 3, 4]]) + """ + try: + tup = tuple(reps) + except TypeError: + tup = (reps,) + d = len(tup) + if all(x == 1 for x in tup) and isinstance(A, _nx.ndarray): + # Fixes the problem that the function does not make a copy if A is a + # numpy array and the repetitions are 1 in all dimensions + return _nx.array(A, copy=True, subok=True, ndmin=d) + else: + # Note that no copy of zero-sized arrays is made. However since they + # have no data there is no risk of an inadvertent overwrite. + c = _nx.array(A, copy=False, subok=True, ndmin=d) + if (d < c.ndim): + tup = (1,)*(c.ndim-d) + tup + shape_out = tuple(s*t for s, t in zip(c.shape, tup)) + n = c.size + if n > 0: + for dim_in, nrep in zip(c.shape, tup): + if nrep != 1: + c = c.reshape(-1, n).repeat(nrep, 0) + n //= dim_in + return c.reshape(shape_out) diff --git a/lib/python3.12/site-packages/numpy/lib/shape_base.pyi b/lib/python3.12/site-packages/numpy/lib/shape_base.pyi new file mode 100644 index 0000000000000000000000000000000000000000..7cd9608b42fc6fb4f4566a823147daa99580fdcf --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/shape_base.pyi @@ -0,0 +1,220 @@ +import sys +from collections.abc import Callable, Sequence +from typing import TypeVar, Any, overload, SupportsIndex, Protocol + +if sys.version_info >= (3, 10): + from typing import ParamSpec, Concatenate +else: + from typing_extensions import ParamSpec, Concatenate + +from numpy import ( + generic, + integer, + ufunc, + bool_, + unsignedinteger, + signedinteger, + floating, + complexfloating, + object_, +) + +from numpy._typing import ( + ArrayLike, + NDArray, + _ShapeLike, + _ArrayLike, + _ArrayLikeBool_co, + _ArrayLikeUInt_co, + _ArrayLikeInt_co, + _ArrayLikeFloat_co, + _ArrayLikeComplex_co, + _ArrayLikeObject_co, +) + +from numpy.core.shape_base import vstack + +_P = ParamSpec("_P") +_SCT = TypeVar("_SCT", bound=generic) + +# The signatures of `__array_wrap__` and `__array_prepare__` are the same; +# give them unique names for the sake of clarity +class _ArrayWrap(Protocol): + def __call__( + self, + array: NDArray[Any], + context: None | tuple[ufunc, tuple[Any, ...], int] = ..., + /, + ) -> Any: ... + +class _ArrayPrepare(Protocol): + def __call__( + self, + array: NDArray[Any], + context: None | tuple[ufunc, tuple[Any, ...], int] = ..., + /, + ) -> Any: ... + +class _SupportsArrayWrap(Protocol): + @property + def __array_wrap__(self) -> _ArrayWrap: ... + +class _SupportsArrayPrepare(Protocol): + @property + def __array_prepare__(self) -> _ArrayPrepare: ... + +__all__: list[str] + +row_stack = vstack + +def take_along_axis( + arr: _SCT | NDArray[_SCT], + indices: NDArray[integer[Any]], + axis: None | int, +) -> NDArray[_SCT]: ... + +def put_along_axis( + arr: NDArray[_SCT], + indices: NDArray[integer[Any]], + values: ArrayLike, + axis: None | int, +) -> None: ... + +@overload +def apply_along_axis( + func1d: Callable[Concatenate[NDArray[Any], _P], _ArrayLike[_SCT]], + axis: SupportsIndex, + arr: ArrayLike, + *args: _P.args, + **kwargs: _P.kwargs, +) -> NDArray[_SCT]: ... +@overload +def apply_along_axis( + func1d: Callable[Concatenate[NDArray[Any], _P], ArrayLike], + axis: SupportsIndex, + arr: ArrayLike, + *args: _P.args, + **kwargs: _P.kwargs, +) -> NDArray[Any]: ... + +def apply_over_axes( + func: Callable[[NDArray[Any], int], NDArray[_SCT]], + a: ArrayLike, + axes: int | Sequence[int], +) -> NDArray[_SCT]: ... + +@overload +def expand_dims( + a: _ArrayLike[_SCT], + axis: _ShapeLike, +) -> NDArray[_SCT]: ... +@overload +def expand_dims( + a: ArrayLike, + axis: _ShapeLike, +) -> NDArray[Any]: ... + +@overload +def column_stack(tup: Sequence[_ArrayLike[_SCT]]) -> NDArray[_SCT]: ... +@overload +def column_stack(tup: Sequence[ArrayLike]) -> NDArray[Any]: ... + +@overload +def dstack(tup: Sequence[_ArrayLike[_SCT]]) -> NDArray[_SCT]: ... +@overload +def dstack(tup: Sequence[ArrayLike]) -> NDArray[Any]: ... + +@overload +def array_split( + ary: _ArrayLike[_SCT], + indices_or_sections: _ShapeLike, + axis: SupportsIndex = ..., +) -> list[NDArray[_SCT]]: ... +@overload +def array_split( + ary: ArrayLike, + indices_or_sections: _ShapeLike, + axis: SupportsIndex = ..., +) -> list[NDArray[Any]]: ... + +@overload +def split( + ary: _ArrayLike[_SCT], + indices_or_sections: _ShapeLike, + axis: SupportsIndex = ..., +) -> list[NDArray[_SCT]]: ... +@overload +def split( + ary: ArrayLike, + indices_or_sections: _ShapeLike, + axis: SupportsIndex = ..., +) -> list[NDArray[Any]]: ... + +@overload +def hsplit( + ary: _ArrayLike[_SCT], + indices_or_sections: _ShapeLike, +) -> list[NDArray[_SCT]]: ... +@overload +def hsplit( + ary: ArrayLike, + indices_or_sections: _ShapeLike, +) -> list[NDArray[Any]]: ... + +@overload +def vsplit( + ary: _ArrayLike[_SCT], + indices_or_sections: _ShapeLike, +) -> list[NDArray[_SCT]]: ... +@overload +def vsplit( + ary: ArrayLike, + indices_or_sections: _ShapeLike, +) -> list[NDArray[Any]]: ... + +@overload +def dsplit( + ary: _ArrayLike[_SCT], + indices_or_sections: _ShapeLike, +) -> list[NDArray[_SCT]]: ... +@overload +def dsplit( + ary: ArrayLike, + indices_or_sections: _ShapeLike, +) -> list[NDArray[Any]]: ... + +@overload +def get_array_prepare(*args: _SupportsArrayPrepare) -> _ArrayPrepare: ... +@overload +def get_array_prepare(*args: object) -> None | _ArrayPrepare: ... + +@overload +def get_array_wrap(*args: _SupportsArrayWrap) -> _ArrayWrap: ... +@overload +def get_array_wrap(*args: object) -> None | _ArrayWrap: ... + +@overload +def kron(a: _ArrayLikeBool_co, b: _ArrayLikeBool_co) -> NDArray[bool_]: ... # type: ignore[misc] +@overload +def kron(a: _ArrayLikeUInt_co, b: _ArrayLikeUInt_co) -> NDArray[unsignedinteger[Any]]: ... # type: ignore[misc] +@overload +def kron(a: _ArrayLikeInt_co, b: _ArrayLikeInt_co) -> NDArray[signedinteger[Any]]: ... # type: ignore[misc] +@overload +def kron(a: _ArrayLikeFloat_co, b: _ArrayLikeFloat_co) -> NDArray[floating[Any]]: ... # type: ignore[misc] +@overload +def kron(a: _ArrayLikeComplex_co, b: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ... +@overload +def kron(a: _ArrayLikeObject_co, b: Any) -> NDArray[object_]: ... +@overload +def kron(a: Any, b: _ArrayLikeObject_co) -> NDArray[object_]: ... + +@overload +def tile( + A: _ArrayLike[_SCT], + reps: int | Sequence[int], +) -> NDArray[_SCT]: ... +@overload +def tile( + A: ArrayLike, + reps: int | Sequence[int], +) -> NDArray[Any]: ... diff --git a/lib/python3.12/site-packages/numpy/lib/stride_tricks.py b/lib/python3.12/site-packages/numpy/lib/stride_tricks.py new file mode 100644 index 0000000000000000000000000000000000000000..6794ad557a2e309e3ca7e652e0c5cc093d34e615 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/stride_tricks.py @@ -0,0 +1,547 @@ +""" +Utilities that manipulate strides to achieve desirable effects. + +An explanation of strides can be found in the "ndarray.rst" file in the +NumPy reference guide. + +""" +import numpy as np +from numpy.core.numeric import normalize_axis_tuple +from numpy.core.overrides import array_function_dispatch, set_module + +__all__ = ['broadcast_to', 'broadcast_arrays', 'broadcast_shapes'] + + +class DummyArray: + """Dummy object that just exists to hang __array_interface__ dictionaries + and possibly keep alive a reference to a base array. + """ + + def __init__(self, interface, base=None): + self.__array_interface__ = interface + self.base = base + + +def _maybe_view_as_subclass(original_array, new_array): + if type(original_array) is not type(new_array): + # if input was an ndarray subclass and subclasses were OK, + # then view the result as that subclass. + new_array = new_array.view(type=type(original_array)) + # Since we have done something akin to a view from original_array, we + # should let the subclass finalize (if it has it implemented, i.e., is + # not None). + if new_array.__array_finalize__: + new_array.__array_finalize__(original_array) + return new_array + + +def as_strided(x, shape=None, strides=None, subok=False, writeable=True): + """ + Create a view into the array with the given shape and strides. + + .. warning:: This function has to be used with extreme care, see notes. + + Parameters + ---------- + x : ndarray + Array to create a new. + shape : sequence of int, optional + The shape of the new array. Defaults to ``x.shape``. + strides : sequence of int, optional + The strides of the new array. Defaults to ``x.strides``. + subok : bool, optional + .. versionadded:: 1.10 + + If True, subclasses are preserved. + writeable : bool, optional + .. versionadded:: 1.12 + + If set to False, the returned array will always be readonly. + Otherwise it will be writable if the original array was. It + is advisable to set this to False if possible (see Notes). + + Returns + ------- + view : ndarray + + See also + -------- + broadcast_to : broadcast an array to a given shape. + reshape : reshape an array. + lib.stride_tricks.sliding_window_view : + userfriendly and safe function for the creation of sliding window views. + + Notes + ----- + ``as_strided`` creates a view into the array given the exact strides + and shape. This means it manipulates the internal data structure of + ndarray and, if done incorrectly, the array elements can point to + invalid memory and can corrupt results or crash your program. + It is advisable to always use the original ``x.strides`` when + calculating new strides to avoid reliance on a contiguous memory + layout. + + Furthermore, arrays created with this function often contain self + overlapping memory, so that two elements are identical. + Vectorized write operations on such arrays will typically be + unpredictable. They may even give different results for small, large, + or transposed arrays. + + Since writing to these arrays has to be tested and done with great + care, you may want to use ``writeable=False`` to avoid accidental write + operations. + + For these reasons it is advisable to avoid ``as_strided`` when + possible. + """ + # first convert input to array, possibly keeping subclass + x = np.array(x, copy=False, subok=subok) + interface = dict(x.__array_interface__) + if shape is not None: + interface['shape'] = tuple(shape) + if strides is not None: + interface['strides'] = tuple(strides) + + array = np.asarray(DummyArray(interface, base=x)) + # The route via `__interface__` does not preserve structured + # dtypes. Since dtype should remain unchanged, we set it explicitly. + array.dtype = x.dtype + + view = _maybe_view_as_subclass(x, array) + + if view.flags.writeable and not writeable: + view.flags.writeable = False + + return view + + +def _sliding_window_view_dispatcher(x, window_shape, axis=None, *, + subok=None, writeable=None): + return (x,) + + +@array_function_dispatch(_sliding_window_view_dispatcher) +def sliding_window_view(x, window_shape, axis=None, *, + subok=False, writeable=False): + """ + Create a sliding window view into the array with the given window shape. + + Also known as rolling or moving window, the window slides across all + dimensions of the array and extracts subsets of the array at all window + positions. + + .. versionadded:: 1.20.0 + + Parameters + ---------- + x : array_like + Array to create the sliding window view from. + window_shape : int or tuple of int + Size of window over each axis that takes part in the sliding window. + If `axis` is not present, must have same length as the number of input + array dimensions. Single integers `i` are treated as if they were the + tuple `(i,)`. + axis : int or tuple of int, optional + Axis or axes along which the sliding window is applied. + By default, the sliding window is applied to all axes and + `window_shape[i]` will refer to axis `i` of `x`. + If `axis` is given as a `tuple of int`, `window_shape[i]` will refer to + the axis `axis[i]` of `x`. + Single integers `i` are treated as if they were the tuple `(i,)`. + subok : bool, optional + If True, sub-classes will be passed-through, otherwise the returned + array will be forced to be a base-class array (default). + writeable : bool, optional + When true, allow writing to the returned view. The default is false, + as this should be used with caution: the returned view contains the + same memory location multiple times, so writing to one location will + cause others to change. + + Returns + ------- + view : ndarray + Sliding window view of the array. The sliding window dimensions are + inserted at the end, and the original dimensions are trimmed as + required by the size of the sliding window. + That is, ``view.shape = x_shape_trimmed + window_shape``, where + ``x_shape_trimmed`` is ``x.shape`` with every entry reduced by one less + than the corresponding window size. + + See Also + -------- + lib.stride_tricks.as_strided: A lower-level and less safe routine for + creating arbitrary views from custom shape and strides. + broadcast_to: broadcast an array to a given shape. + + Notes + ----- + For many applications using a sliding window view can be convenient, but + potentially very slow. Often specialized solutions exist, for example: + + - `scipy.signal.fftconvolve` + + - filtering functions in `scipy.ndimage` + + - moving window functions provided by + `bottleneck `_. + + As a rough estimate, a sliding window approach with an input size of `N` + and a window size of `W` will scale as `O(N*W)` where frequently a special + algorithm can achieve `O(N)`. That means that the sliding window variant + for a window size of 100 can be a 100 times slower than a more specialized + version. + + Nevertheless, for small window sizes, when no custom algorithm exists, or + as a prototyping and developing tool, this function can be a good solution. + + Examples + -------- + >>> x = np.arange(6) + >>> x.shape + (6,) + >>> v = sliding_window_view(x, 3) + >>> v.shape + (4, 3) + >>> v + array([[0, 1, 2], + [1, 2, 3], + [2, 3, 4], + [3, 4, 5]]) + + This also works in more dimensions, e.g. + + >>> i, j = np.ogrid[:3, :4] + >>> x = 10*i + j + >>> x.shape + (3, 4) + >>> x + array([[ 0, 1, 2, 3], + [10, 11, 12, 13], + [20, 21, 22, 23]]) + >>> shape = (2,2) + >>> v = sliding_window_view(x, shape) + >>> v.shape + (2, 3, 2, 2) + >>> v + array([[[[ 0, 1], + [10, 11]], + [[ 1, 2], + [11, 12]], + [[ 2, 3], + [12, 13]]], + [[[10, 11], + [20, 21]], + [[11, 12], + [21, 22]], + [[12, 13], + [22, 23]]]]) + + The axis can be specified explicitly: + + >>> v = sliding_window_view(x, 3, 0) + >>> v.shape + (1, 4, 3) + >>> v + array([[[ 0, 10, 20], + [ 1, 11, 21], + [ 2, 12, 22], + [ 3, 13, 23]]]) + + The same axis can be used several times. In that case, every use reduces + the corresponding original dimension: + + >>> v = sliding_window_view(x, (2, 3), (1, 1)) + >>> v.shape + (3, 1, 2, 3) + >>> v + array([[[[ 0, 1, 2], + [ 1, 2, 3]]], + [[[10, 11, 12], + [11, 12, 13]]], + [[[20, 21, 22], + [21, 22, 23]]]]) + + Combining with stepped slicing (`::step`), this can be used to take sliding + views which skip elements: + + >>> x = np.arange(7) + >>> sliding_window_view(x, 5)[:, ::2] + array([[0, 2, 4], + [1, 3, 5], + [2, 4, 6]]) + + or views which move by multiple elements + + >>> x = np.arange(7) + >>> sliding_window_view(x, 3)[::2, :] + array([[0, 1, 2], + [2, 3, 4], + [4, 5, 6]]) + + A common application of `sliding_window_view` is the calculation of running + statistics. The simplest example is the + `moving average `_: + + >>> x = np.arange(6) + >>> x.shape + (6,) + >>> v = sliding_window_view(x, 3) + >>> v.shape + (4, 3) + >>> v + array([[0, 1, 2], + [1, 2, 3], + [2, 3, 4], + [3, 4, 5]]) + >>> moving_average = v.mean(axis=-1) + >>> moving_average + array([1., 2., 3., 4.]) + + Note that a sliding window approach is often **not** optimal (see Notes). + """ + window_shape = (tuple(window_shape) + if np.iterable(window_shape) + else (window_shape,)) + # first convert input to array, possibly keeping subclass + x = np.array(x, copy=False, subok=subok) + + window_shape_array = np.array(window_shape) + if np.any(window_shape_array < 0): + raise ValueError('`window_shape` cannot contain negative values') + + if axis is None: + axis = tuple(range(x.ndim)) + if len(window_shape) != len(axis): + raise ValueError(f'Since axis is `None`, must provide ' + f'window_shape for all dimensions of `x`; ' + f'got {len(window_shape)} window_shape elements ' + f'and `x.ndim` is {x.ndim}.') + else: + axis = normalize_axis_tuple(axis, x.ndim, allow_duplicate=True) + if len(window_shape) != len(axis): + raise ValueError(f'Must provide matching length window_shape and ' + f'axis; got {len(window_shape)} window_shape ' + f'elements and {len(axis)} axes elements.') + + out_strides = x.strides + tuple(x.strides[ax] for ax in axis) + + # note: same axis can be windowed repeatedly + x_shape_trimmed = list(x.shape) + for ax, dim in zip(axis, window_shape): + if x_shape_trimmed[ax] < dim: + raise ValueError( + 'window shape cannot be larger than input array shape') + x_shape_trimmed[ax] -= dim - 1 + out_shape = tuple(x_shape_trimmed) + window_shape + return as_strided(x, strides=out_strides, shape=out_shape, + subok=subok, writeable=writeable) + + +def _broadcast_to(array, shape, subok, readonly): + shape = tuple(shape) if np.iterable(shape) else (shape,) + array = np.array(array, copy=False, subok=subok) + if not shape and array.shape: + raise ValueError('cannot broadcast a non-scalar to a scalar array') + if any(size < 0 for size in shape): + raise ValueError('all elements of broadcast shape must be non-' + 'negative') + extras = [] + it = np.nditer( + (array,), flags=['multi_index', 'refs_ok', 'zerosize_ok'] + extras, + op_flags=['readonly'], itershape=shape, order='C') + with it: + # never really has writebackifcopy semantics + broadcast = it.itviews[0] + result = _maybe_view_as_subclass(array, broadcast) + # In a future version this will go away + if not readonly and array.flags._writeable_no_warn: + result.flags.writeable = True + result.flags._warn_on_write = True + return result + + +def _broadcast_to_dispatcher(array, shape, subok=None): + return (array,) + + +@array_function_dispatch(_broadcast_to_dispatcher, module='numpy') +def broadcast_to(array, shape, subok=False): + """Broadcast an array to a new shape. + + Parameters + ---------- + array : array_like + The array to broadcast. + shape : tuple or int + The shape of the desired array. A single integer ``i`` is interpreted + as ``(i,)``. + subok : bool, optional + If True, then sub-classes will be passed-through, otherwise + the returned array will be forced to be a base-class array (default). + + Returns + ------- + broadcast : array + A readonly view on the original array with the given shape. It is + typically not contiguous. Furthermore, more than one element of a + broadcasted array may refer to a single memory location. + + Raises + ------ + ValueError + If the array is not compatible with the new shape according to NumPy's + broadcasting rules. + + See Also + -------- + broadcast + broadcast_arrays + broadcast_shapes + + Notes + ----- + .. versionadded:: 1.10.0 + + Examples + -------- + >>> x = np.array([1, 2, 3]) + >>> np.broadcast_to(x, (3, 3)) + array([[1, 2, 3], + [1, 2, 3], + [1, 2, 3]]) + """ + return _broadcast_to(array, shape, subok=subok, readonly=True) + + +def _broadcast_shape(*args): + """Returns the shape of the arrays that would result from broadcasting the + supplied arrays against each other. + """ + # use the old-iterator because np.nditer does not handle size 0 arrays + # consistently + b = np.broadcast(*args[:32]) + # unfortunately, it cannot handle 32 or more arguments directly + for pos in range(32, len(args), 31): + # ironically, np.broadcast does not properly handle np.broadcast + # objects (it treats them as scalars) + # use broadcasting to avoid allocating the full array + b = broadcast_to(0, b.shape) + b = np.broadcast(b, *args[pos:(pos + 31)]) + return b.shape + + +@set_module('numpy') +def broadcast_shapes(*args): + """ + Broadcast the input shapes into a single shape. + + :ref:`Learn more about broadcasting here `. + + .. versionadded:: 1.20.0 + + Parameters + ---------- + `*args` : tuples of ints, or ints + The shapes to be broadcast against each other. + + Returns + ------- + tuple + Broadcasted shape. + + Raises + ------ + ValueError + If the shapes are not compatible and cannot be broadcast according + to NumPy's broadcasting rules. + + See Also + -------- + broadcast + broadcast_arrays + broadcast_to + + Examples + -------- + >>> np.broadcast_shapes((1, 2), (3, 1), (3, 2)) + (3, 2) + + >>> np.broadcast_shapes((6, 7), (5, 6, 1), (7,), (5, 1, 7)) + (5, 6, 7) + """ + arrays = [np.empty(x, dtype=[]) for x in args] + return _broadcast_shape(*arrays) + + +def _broadcast_arrays_dispatcher(*args, subok=None): + return args + + +@array_function_dispatch(_broadcast_arrays_dispatcher, module='numpy') +def broadcast_arrays(*args, subok=False): + """ + Broadcast any number of arrays against each other. + + Parameters + ---------- + `*args` : array_likes + The arrays to broadcast. + + subok : bool, optional + If True, then sub-classes will be passed-through, otherwise + the returned arrays will be forced to be a base-class array (default). + + Returns + ------- + broadcasted : list of arrays + These arrays are views on the original arrays. They are typically + not contiguous. Furthermore, more than one element of a + broadcasted array may refer to a single memory location. If you need + to write to the arrays, make copies first. While you can set the + ``writable`` flag True, writing to a single output value may end up + changing more than one location in the output array. + + .. deprecated:: 1.17 + The output is currently marked so that if written to, a deprecation + warning will be emitted. A future version will set the + ``writable`` flag False so writing to it will raise an error. + + See Also + -------- + broadcast + broadcast_to + broadcast_shapes + + Examples + -------- + >>> x = np.array([[1,2,3]]) + >>> y = np.array([[4],[5]]) + >>> np.broadcast_arrays(x, y) + [array([[1, 2, 3], + [1, 2, 3]]), array([[4, 4, 4], + [5, 5, 5]])] + + Here is a useful idiom for getting contiguous copies instead of + non-contiguous views. + + >>> [np.array(a) for a in np.broadcast_arrays(x, y)] + [array([[1, 2, 3], + [1, 2, 3]]), array([[4, 4, 4], + [5, 5, 5]])] + + """ + # nditer is not used here to avoid the limit of 32 arrays. + # Otherwise, something like the following one-liner would suffice: + # return np.nditer(args, flags=['multi_index', 'zerosize_ok'], + # order='C').itviews + + args = [np.array(_m, copy=False, subok=subok) for _m in args] + + shape = _broadcast_shape(*args) + + if all(array.shape == shape for array in args): + # Common case where nothing needs to be broadcasted. + return args + + return [_broadcast_to(array, shape, subok=subok, readonly=False) + for array in args] diff --git a/lib/python3.12/site-packages/numpy/lib/stride_tricks.pyi b/lib/python3.12/site-packages/numpy/lib/stride_tricks.pyi new file mode 100644 index 0000000000000000000000000000000000000000..4c9a98e85f7849ad262ca9e8a3d43f548234d8bb --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/stride_tricks.pyi @@ -0,0 +1,80 @@ +from collections.abc import Iterable +from typing import Any, TypeVar, overload, SupportsIndex + +from numpy import generic +from numpy._typing import ( + NDArray, + ArrayLike, + _ShapeLike, + _Shape, + _ArrayLike +) + +_SCT = TypeVar("_SCT", bound=generic) + +__all__: list[str] + +class DummyArray: + __array_interface__: dict[str, Any] + base: None | NDArray[Any] + def __init__( + self, + interface: dict[str, Any], + base: None | NDArray[Any] = ..., + ) -> None: ... + +@overload +def as_strided( + x: _ArrayLike[_SCT], + shape: None | Iterable[int] = ..., + strides: None | Iterable[int] = ..., + subok: bool = ..., + writeable: bool = ..., +) -> NDArray[_SCT]: ... +@overload +def as_strided( + x: ArrayLike, + shape: None | Iterable[int] = ..., + strides: None | Iterable[int] = ..., + subok: bool = ..., + writeable: bool = ..., +) -> NDArray[Any]: ... + +@overload +def sliding_window_view( + x: _ArrayLike[_SCT], + window_shape: int | Iterable[int], + axis: None | SupportsIndex = ..., + *, + subok: bool = ..., + writeable: bool = ..., +) -> NDArray[_SCT]: ... +@overload +def sliding_window_view( + x: ArrayLike, + window_shape: int | Iterable[int], + axis: None | SupportsIndex = ..., + *, + subok: bool = ..., + writeable: bool = ..., +) -> NDArray[Any]: ... + +@overload +def broadcast_to( + array: _ArrayLike[_SCT], + shape: int | Iterable[int], + subok: bool = ..., +) -> NDArray[_SCT]: ... +@overload +def broadcast_to( + array: ArrayLike, + shape: int | Iterable[int], + subok: bool = ..., +) -> NDArray[Any]: ... + +def broadcast_shapes(*args: _ShapeLike) -> _Shape: ... + +def broadcast_arrays( + *args: ArrayLike, + subok: bool = ..., +) -> list[NDArray[Any]]: ... diff --git a/lib/python3.12/site-packages/numpy/lib/tests/__init__.py b/lib/python3.12/site-packages/numpy/lib/tests/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 diff --git a/lib/python3.12/site-packages/numpy/lib/tests/__pycache__/__init__.cpython-312.pyc b/lib/python3.12/site-packages/numpy/lib/tests/__pycache__/__init__.cpython-312.pyc new file mode 100644 index 0000000000000000000000000000000000000000..fe8e56f638d258e49e52d20b3037cd2bd214cb5c Binary files /dev/null and b/lib/python3.12/site-packages/numpy/lib/tests/__pycache__/__init__.cpython-312.pyc differ diff --git a/lib/python3.12/site-packages/numpy/lib/tests/__pycache__/test__datasource.cpython-312.pyc b/lib/python3.12/site-packages/numpy/lib/tests/__pycache__/test__datasource.cpython-312.pyc new file 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a/lib/python3.12/site-packages/numpy/lib/tests/test__datasource.py b/lib/python3.12/site-packages/numpy/lib/tests/test__datasource.py new file mode 100644 index 0000000000000000000000000000000000000000..c8149abc30c40d6b9528fa9f3a98b0340d5914d3 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/tests/test__datasource.py @@ -0,0 +1,350 @@ +import os +import pytest +from tempfile import mkdtemp, mkstemp, NamedTemporaryFile +from shutil import rmtree + +import numpy.lib._datasource as datasource +from numpy.testing import assert_, assert_equal, assert_raises + +import urllib.request as urllib_request +from urllib.parse import urlparse +from urllib.error import URLError + + +def urlopen_stub(url, data=None): + '''Stub to replace urlopen for testing.''' + if url == valid_httpurl(): + tmpfile = NamedTemporaryFile(prefix='urltmp_') + return tmpfile + else: + raise URLError('Name or service not known') + +# setup and teardown +old_urlopen = None + + +def setup_module(): + global old_urlopen + + old_urlopen = urllib_request.urlopen + urllib_request.urlopen = urlopen_stub + + +def teardown_module(): + urllib_request.urlopen = old_urlopen + +# A valid website for more robust testing +http_path = 'http://www.google.com/' +http_file = 'index.html' + +http_fakepath = 'http://fake.abc.web/site/' +http_fakefile = 'fake.txt' + +malicious_files = ['/etc/shadow', '../../shadow', + '..\\system.dat', 'c:\\windows\\system.dat'] + +magic_line = b'three is the magic number' + + +# Utility functions used by many tests +def valid_textfile(filedir): + # Generate and return a valid temporary file. + fd, path = mkstemp(suffix='.txt', prefix='dstmp_', dir=filedir, text=True) + os.close(fd) + return path + + +def invalid_textfile(filedir): + # Generate and return an invalid filename. + fd, path = mkstemp(suffix='.txt', prefix='dstmp_', dir=filedir) + os.close(fd) + os.remove(path) + return path + + +def valid_httpurl(): + return http_path+http_file + + +def invalid_httpurl(): + return http_fakepath+http_fakefile + + +def valid_baseurl(): + return http_path + + +def invalid_baseurl(): + return http_fakepath + + +def valid_httpfile(): + return http_file + + +def invalid_httpfile(): + return http_fakefile + + +class TestDataSourceOpen: + def setup_method(self): + self.tmpdir = mkdtemp() + self.ds = datasource.DataSource(self.tmpdir) + + def teardown_method(self): + rmtree(self.tmpdir) + del self.ds + + def test_ValidHTTP(self): + fh = self.ds.open(valid_httpurl()) + assert_(fh) + fh.close() + + def test_InvalidHTTP(self): + url = invalid_httpurl() + assert_raises(OSError, self.ds.open, url) + try: + self.ds.open(url) + except OSError as e: + # Regression test for bug fixed in r4342. + assert_(e.errno is None) + + def test_InvalidHTTPCacheURLError(self): + assert_raises(URLError, self.ds._cache, invalid_httpurl()) + + def test_ValidFile(self): + local_file = valid_textfile(self.tmpdir) + fh = self.ds.open(local_file) + assert_(fh) + fh.close() + + def test_InvalidFile(self): + invalid_file = invalid_textfile(self.tmpdir) + assert_raises(OSError, self.ds.open, invalid_file) + + def test_ValidGzipFile(self): + try: + import gzip + except ImportError: + # We don't have the gzip capabilities to test. + pytest.skip() + # Test datasource's internal file_opener for Gzip files. + filepath = os.path.join(self.tmpdir, 'foobar.txt.gz') + fp = gzip.open(filepath, 'w') + fp.write(magic_line) + fp.close() + fp = self.ds.open(filepath) + result = fp.readline() + fp.close() + assert_equal(magic_line, result) + + def test_ValidBz2File(self): + try: + import bz2 + except ImportError: + # We don't have the bz2 capabilities to test. + pytest.skip() + # Test datasource's internal file_opener for BZip2 files. + filepath = os.path.join(self.tmpdir, 'foobar.txt.bz2') + fp = bz2.BZ2File(filepath, 'w') + fp.write(magic_line) + fp.close() + fp = self.ds.open(filepath) + result = fp.readline() + fp.close() + assert_equal(magic_line, result) + + +class TestDataSourceExists: + def setup_method(self): + self.tmpdir = mkdtemp() + self.ds = datasource.DataSource(self.tmpdir) + + def teardown_method(self): + rmtree(self.tmpdir) + del self.ds + + def test_ValidHTTP(self): + assert_(self.ds.exists(valid_httpurl())) + + def test_InvalidHTTP(self): + assert_equal(self.ds.exists(invalid_httpurl()), False) + + def test_ValidFile(self): + # Test valid file in destpath + tmpfile = valid_textfile(self.tmpdir) + assert_(self.ds.exists(tmpfile)) + # Test valid local file not in destpath + localdir = mkdtemp() + tmpfile = valid_textfile(localdir) + assert_(self.ds.exists(tmpfile)) + rmtree(localdir) + + def test_InvalidFile(self): + tmpfile = invalid_textfile(self.tmpdir) + assert_equal(self.ds.exists(tmpfile), False) + + +class TestDataSourceAbspath: + def setup_method(self): + self.tmpdir = os.path.abspath(mkdtemp()) + self.ds = datasource.DataSource(self.tmpdir) + + def teardown_method(self): + rmtree(self.tmpdir) + del self.ds + + def test_ValidHTTP(self): + scheme, netloc, upath, pms, qry, frg = urlparse(valid_httpurl()) + local_path = os.path.join(self.tmpdir, netloc, + upath.strip(os.sep).strip('/')) + assert_equal(local_path, self.ds.abspath(valid_httpurl())) + + def test_ValidFile(self): + tmpfile = valid_textfile(self.tmpdir) + tmpfilename = os.path.split(tmpfile)[-1] + # Test with filename only + assert_equal(tmpfile, self.ds.abspath(tmpfilename)) + # Test filename with complete path + assert_equal(tmpfile, self.ds.abspath(tmpfile)) + + def test_InvalidHTTP(self): + scheme, netloc, upath, pms, qry, frg = urlparse(invalid_httpurl()) + invalidhttp = os.path.join(self.tmpdir, netloc, + upath.strip(os.sep).strip('/')) + assert_(invalidhttp != self.ds.abspath(valid_httpurl())) + + def test_InvalidFile(self): + invalidfile = valid_textfile(self.tmpdir) + tmpfile = valid_textfile(self.tmpdir) + tmpfilename = os.path.split(tmpfile)[-1] + # Test with filename only + assert_(invalidfile != self.ds.abspath(tmpfilename)) + # Test filename with complete path + assert_(invalidfile != self.ds.abspath(tmpfile)) + + def test_sandboxing(self): + tmpfile = valid_textfile(self.tmpdir) + tmpfilename = os.path.split(tmpfile)[-1] + + tmp_path = lambda x: os.path.abspath(self.ds.abspath(x)) + + assert_(tmp_path(valid_httpurl()).startswith(self.tmpdir)) + assert_(tmp_path(invalid_httpurl()).startswith(self.tmpdir)) + assert_(tmp_path(tmpfile).startswith(self.tmpdir)) + assert_(tmp_path(tmpfilename).startswith(self.tmpdir)) + for fn in malicious_files: + assert_(tmp_path(http_path+fn).startswith(self.tmpdir)) + assert_(tmp_path(fn).startswith(self.tmpdir)) + + def test_windows_os_sep(self): + orig_os_sep = os.sep + try: + os.sep = '\\' + self.test_ValidHTTP() + self.test_ValidFile() + self.test_InvalidHTTP() + self.test_InvalidFile() + self.test_sandboxing() + finally: + os.sep = orig_os_sep + + +class TestRepositoryAbspath: + def setup_method(self): + self.tmpdir = os.path.abspath(mkdtemp()) + self.repos = datasource.Repository(valid_baseurl(), self.tmpdir) + + def teardown_method(self): + rmtree(self.tmpdir) + del self.repos + + def test_ValidHTTP(self): + scheme, netloc, upath, pms, qry, frg = urlparse(valid_httpurl()) + local_path = os.path.join(self.repos._destpath, netloc, + upath.strip(os.sep).strip('/')) + filepath = self.repos.abspath(valid_httpfile()) + assert_equal(local_path, filepath) + + def test_sandboxing(self): + tmp_path = lambda x: os.path.abspath(self.repos.abspath(x)) + assert_(tmp_path(valid_httpfile()).startswith(self.tmpdir)) + for fn in malicious_files: + assert_(tmp_path(http_path+fn).startswith(self.tmpdir)) + assert_(tmp_path(fn).startswith(self.tmpdir)) + + def test_windows_os_sep(self): + orig_os_sep = os.sep + try: + os.sep = '\\' + self.test_ValidHTTP() + self.test_sandboxing() + finally: + os.sep = orig_os_sep + + +class TestRepositoryExists: + def setup_method(self): + self.tmpdir = mkdtemp() + self.repos = datasource.Repository(valid_baseurl(), self.tmpdir) + + def teardown_method(self): + rmtree(self.tmpdir) + del self.repos + + def test_ValidFile(self): + # Create local temp file + tmpfile = valid_textfile(self.tmpdir) + assert_(self.repos.exists(tmpfile)) + + def test_InvalidFile(self): + tmpfile = invalid_textfile(self.tmpdir) + assert_equal(self.repos.exists(tmpfile), False) + + def test_RemoveHTTPFile(self): + assert_(self.repos.exists(valid_httpurl())) + + def test_CachedHTTPFile(self): + localfile = valid_httpurl() + # Create a locally cached temp file with an URL based + # directory structure. This is similar to what Repository.open + # would do. + scheme, netloc, upath, pms, qry, frg = urlparse(localfile) + local_path = os.path.join(self.repos._destpath, netloc) + os.mkdir(local_path, 0o0700) + tmpfile = valid_textfile(local_path) + assert_(self.repos.exists(tmpfile)) + + +class TestOpenFunc: + def setup_method(self): + self.tmpdir = mkdtemp() + + def teardown_method(self): + rmtree(self.tmpdir) + + def test_DataSourceOpen(self): + local_file = valid_textfile(self.tmpdir) + # Test case where destpath is passed in + fp = datasource.open(local_file, destpath=self.tmpdir) + assert_(fp) + fp.close() + # Test case where default destpath is used + fp = datasource.open(local_file) + assert_(fp) + fp.close() + +def test_del_attr_handling(): + # DataSource __del__ can be called + # even if __init__ fails when the + # Exception object is caught by the + # caller as happens in refguide_check + # is_deprecated() function + + ds = datasource.DataSource() + # simulate failed __init__ by removing key attribute + # produced within __init__ and expected by __del__ + del ds._istmpdest + # should not raise an AttributeError if __del__ + # gracefully handles failed __init__: + ds.__del__() diff --git a/lib/python3.12/site-packages/numpy/lib/tests/test__iotools.py b/lib/python3.12/site-packages/numpy/lib/tests/test__iotools.py new file mode 100644 index 0000000000000000000000000000000000000000..a5b78702525e279ac81f5027523792bff2eb8677 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/tests/test__iotools.py @@ -0,0 +1,353 @@ +import time +from datetime import date + +import numpy as np +from numpy.testing import ( + assert_, assert_equal, assert_allclose, assert_raises, + ) +from numpy.lib._iotools import ( + LineSplitter, NameValidator, StringConverter, + has_nested_fields, easy_dtype, flatten_dtype + ) + + +class TestLineSplitter: + "Tests the LineSplitter class." + + def test_no_delimiter(self): + "Test LineSplitter w/o delimiter" + strg = " 1 2 3 4 5 # test" + test = LineSplitter()(strg) + assert_equal(test, ['1', '2', '3', '4', '5']) + test = LineSplitter('')(strg) + assert_equal(test, ['1', '2', '3', '4', '5']) + + def test_space_delimiter(self): + "Test space delimiter" + strg = " 1 2 3 4 5 # test" + test = LineSplitter(' ')(strg) + assert_equal(test, ['1', '2', '3', '4', '', '5']) + test = LineSplitter(' ')(strg) + assert_equal(test, ['1 2 3 4', '5']) + + def test_tab_delimiter(self): + "Test tab delimiter" + strg = " 1\t 2\t 3\t 4\t 5 6" + test = LineSplitter('\t')(strg) + assert_equal(test, ['1', '2', '3', '4', '5 6']) + strg = " 1 2\t 3 4\t 5 6" + test = LineSplitter('\t')(strg) + assert_equal(test, ['1 2', '3 4', '5 6']) + + def test_other_delimiter(self): + "Test LineSplitter on delimiter" + strg = "1,2,3,4,,5" + test = LineSplitter(',')(strg) + assert_equal(test, ['1', '2', '3', '4', '', '5']) + # + strg = " 1,2,3,4,,5 # test" + test = LineSplitter(',')(strg) + assert_equal(test, ['1', '2', '3', '4', '', '5']) + + # gh-11028 bytes comment/delimiters should get encoded + strg = b" 1,2,3,4,,5 % test" + test = LineSplitter(delimiter=b',', comments=b'%')(strg) + assert_equal(test, ['1', '2', '3', '4', '', '5']) + + def test_constant_fixed_width(self): + "Test LineSplitter w/ fixed-width fields" + strg = " 1 2 3 4 5 # test" + test = LineSplitter(3)(strg) + assert_equal(test, ['1', '2', '3', '4', '', '5', '']) + # + strg = " 1 3 4 5 6# test" + test = LineSplitter(20)(strg) + assert_equal(test, ['1 3 4 5 6']) + # + strg = " 1 3 4 5 6# test" + test = LineSplitter(30)(strg) + assert_equal(test, ['1 3 4 5 6']) + + def test_variable_fixed_width(self): + strg = " 1 3 4 5 6# test" + test = LineSplitter((3, 6, 6, 3))(strg) + assert_equal(test, ['1', '3', '4 5', '6']) + # + strg = " 1 3 4 5 6# test" + test = LineSplitter((6, 6, 9))(strg) + assert_equal(test, ['1', '3 4', '5 6']) + +# ----------------------------------------------------------------------------- + + +class TestNameValidator: + + def test_case_sensitivity(self): + "Test case sensitivity" + names = ['A', 'a', 'b', 'c'] + test = NameValidator().validate(names) + assert_equal(test, ['A', 'a', 'b', 'c']) + test = NameValidator(case_sensitive=False).validate(names) + assert_equal(test, ['A', 'A_1', 'B', 'C']) + test = NameValidator(case_sensitive='upper').validate(names) + assert_equal(test, ['A', 'A_1', 'B', 'C']) + test = NameValidator(case_sensitive='lower').validate(names) + assert_equal(test, ['a', 'a_1', 'b', 'c']) + + # check exceptions + assert_raises(ValueError, NameValidator, case_sensitive='foobar') + + def test_excludelist(self): + "Test excludelist" + names = ['dates', 'data', 'Other Data', 'mask'] + validator = NameValidator(excludelist=['dates', 'data', 'mask']) + test = validator.validate(names) + assert_equal(test, ['dates_', 'data_', 'Other_Data', 'mask_']) + + def test_missing_names(self): + "Test validate missing names" + namelist = ('a', 'b', 'c') + validator = NameValidator() + assert_equal(validator(namelist), ['a', 'b', 'c']) + namelist = ('', 'b', 'c') + assert_equal(validator(namelist), ['f0', 'b', 'c']) + namelist = ('a', 'b', '') + assert_equal(validator(namelist), ['a', 'b', 'f0']) + namelist = ('', 'f0', '') + assert_equal(validator(namelist), ['f1', 'f0', 'f2']) + + def test_validate_nb_names(self): + "Test validate nb names" + namelist = ('a', 'b', 'c') + validator = NameValidator() + assert_equal(validator(namelist, nbfields=1), ('a',)) + assert_equal(validator(namelist, nbfields=5, defaultfmt="g%i"), + ['a', 'b', 'c', 'g0', 'g1']) + + def test_validate_wo_names(self): + "Test validate no names" + namelist = None + validator = NameValidator() + assert_(validator(namelist) is None) + assert_equal(validator(namelist, nbfields=3), ['f0', 'f1', 'f2']) + +# ----------------------------------------------------------------------------- + + +def _bytes_to_date(s): + return date(*time.strptime(s, "%Y-%m-%d")[:3]) + + +class TestStringConverter: + "Test StringConverter" + + def test_creation(self): + "Test creation of a StringConverter" + converter = StringConverter(int, -99999) + assert_equal(converter._status, 1) + assert_equal(converter.default, -99999) + + def test_upgrade(self): + "Tests the upgrade method." + + converter = StringConverter() + assert_equal(converter._status, 0) + + # test int + assert_equal(converter.upgrade('0'), 0) + assert_equal(converter._status, 1) + + # On systems where long defaults to 32-bit, the statuses will be + # offset by one, so we check for this here. + import numpy.core.numeric as nx + status_offset = int(nx.dtype(nx.int_).itemsize < nx.dtype(nx.int64).itemsize) + + # test int > 2**32 + assert_equal(converter.upgrade('17179869184'), 17179869184) + assert_equal(converter._status, 1 + status_offset) + + # test float + assert_allclose(converter.upgrade('0.'), 0.0) + assert_equal(converter._status, 2 + status_offset) + + # test complex + assert_equal(converter.upgrade('0j'), complex('0j')) + assert_equal(converter._status, 3 + status_offset) + + # test str + # note that the longdouble type has been skipped, so the + # _status increases by 2. Everything should succeed with + # unicode conversion (8). + for s in ['a', b'a']: + res = converter.upgrade(s) + assert_(type(res) is str) + assert_equal(res, 'a') + assert_equal(converter._status, 8 + status_offset) + + def test_missing(self): + "Tests the use of missing values." + converter = StringConverter(missing_values=('missing', + 'missed')) + converter.upgrade('0') + assert_equal(converter('0'), 0) + assert_equal(converter(''), converter.default) + assert_equal(converter('missing'), converter.default) + assert_equal(converter('missed'), converter.default) + try: + converter('miss') + except ValueError: + pass + + def test_upgrademapper(self): + "Tests updatemapper" + dateparser = _bytes_to_date + _original_mapper = StringConverter._mapper[:] + try: + StringConverter.upgrade_mapper(dateparser, date(2000, 1, 1)) + convert = StringConverter(dateparser, date(2000, 1, 1)) + test = convert('2001-01-01') + assert_equal(test, date(2001, 1, 1)) + test = convert('2009-01-01') + assert_equal(test, date(2009, 1, 1)) + test = convert('') + assert_equal(test, date(2000, 1, 1)) + finally: + StringConverter._mapper = _original_mapper + + def test_string_to_object(self): + "Make sure that string-to-object functions are properly recognized" + old_mapper = StringConverter._mapper[:] # copy of list + conv = StringConverter(_bytes_to_date) + assert_equal(conv._mapper, old_mapper) + assert_(hasattr(conv, 'default')) + + def test_keep_default(self): + "Make sure we don't lose an explicit default" + converter = StringConverter(None, missing_values='', + default=-999) + converter.upgrade('3.14159265') + assert_equal(converter.default, -999) + assert_equal(converter.type, np.dtype(float)) + # + converter = StringConverter( + None, missing_values='', default=0) + converter.upgrade('3.14159265') + assert_equal(converter.default, 0) + assert_equal(converter.type, np.dtype(float)) + + def test_keep_default_zero(self): + "Check that we don't lose a default of 0" + converter = StringConverter(int, default=0, + missing_values="N/A") + assert_equal(converter.default, 0) + + def test_keep_missing_values(self): + "Check that we're not losing missing values" + converter = StringConverter(int, default=0, + missing_values="N/A") + assert_equal( + converter.missing_values, {'', 'N/A'}) + + def test_int64_dtype(self): + "Check that int64 integer types can be specified" + converter = StringConverter(np.int64, default=0) + val = "-9223372036854775807" + assert_(converter(val) == -9223372036854775807) + val = "9223372036854775807" + assert_(converter(val) == 9223372036854775807) + + def test_uint64_dtype(self): + "Check that uint64 integer types can be specified" + converter = StringConverter(np.uint64, default=0) + val = "9223372043271415339" + assert_(converter(val) == 9223372043271415339) + + +class TestMiscFunctions: + + def test_has_nested_dtype(self): + "Test has_nested_dtype" + ndtype = np.dtype(float) + assert_equal(has_nested_fields(ndtype), False) + ndtype = np.dtype([('A', '|S3'), ('B', float)]) + assert_equal(has_nested_fields(ndtype), False) + ndtype = np.dtype([('A', int), ('B', [('BA', float), ('BB', '|S1')])]) + assert_equal(has_nested_fields(ndtype), True) + + def test_easy_dtype(self): + "Test ndtype on dtypes" + # Simple case + ndtype = float + assert_equal(easy_dtype(ndtype), np.dtype(float)) + # As string w/o names + ndtype = "i4, f8" + assert_equal(easy_dtype(ndtype), + np.dtype([('f0', "i4"), ('f1', "f8")])) + # As string w/o names but different default format + assert_equal(easy_dtype(ndtype, defaultfmt="field_%03i"), + np.dtype([('field_000', "i4"), ('field_001', "f8")])) + # As string w/ names + ndtype = "i4, f8" + assert_equal(easy_dtype(ndtype, names="a, b"), + np.dtype([('a', "i4"), ('b', "f8")])) + # As string w/ names (too many) + ndtype = "i4, f8" + assert_equal(easy_dtype(ndtype, names="a, b, c"), + np.dtype([('a', "i4"), ('b', "f8")])) + # As string w/ names (not enough) + ndtype = "i4, f8" + assert_equal(easy_dtype(ndtype, names=", b"), + np.dtype([('f0', "i4"), ('b', "f8")])) + # ... (with different default format) + assert_equal(easy_dtype(ndtype, names="a", defaultfmt="f%02i"), + np.dtype([('a', "i4"), ('f00', "f8")])) + # As list of tuples w/o names + ndtype = [('A', int), ('B', float)] + assert_equal(easy_dtype(ndtype), np.dtype([('A', int), ('B', float)])) + # As list of tuples w/ names + assert_equal(easy_dtype(ndtype, names="a,b"), + np.dtype([('a', int), ('b', float)])) + # As list of tuples w/ not enough names + assert_equal(easy_dtype(ndtype, names="a"), + np.dtype([('a', int), ('f0', float)])) + # As list of tuples w/ too many names + assert_equal(easy_dtype(ndtype, names="a,b,c"), + np.dtype([('a', int), ('b', float)])) + # As list of types w/o names + ndtype = (int, float, float) + assert_equal(easy_dtype(ndtype), + np.dtype([('f0', int), ('f1', float), ('f2', float)])) + # As list of types w names + ndtype = (int, float, float) + assert_equal(easy_dtype(ndtype, names="a, b, c"), + np.dtype([('a', int), ('b', float), ('c', float)])) + # As simple dtype w/ names + ndtype = np.dtype(float) + assert_equal(easy_dtype(ndtype, names="a, b, c"), + np.dtype([(_, float) for _ in ('a', 'b', 'c')])) + # As simple dtype w/o names (but multiple fields) + ndtype = np.dtype(float) + assert_equal( + easy_dtype(ndtype, names=['', '', ''], defaultfmt="f%02i"), + np.dtype([(_, float) for _ in ('f00', 'f01', 'f02')])) + + def test_flatten_dtype(self): + "Testing flatten_dtype" + # Standard dtype + dt = np.dtype([("a", "f8"), ("b", "f8")]) + dt_flat = flatten_dtype(dt) + assert_equal(dt_flat, [float, float]) + # Recursive dtype + dt = np.dtype([("a", [("aa", '|S1'), ("ab", '|S2')]), ("b", int)]) + dt_flat = flatten_dtype(dt) + assert_equal(dt_flat, [np.dtype('|S1'), np.dtype('|S2'), int]) + # dtype with shaped fields + dt = np.dtype([("a", (float, 2)), ("b", (int, 3))]) + dt_flat = flatten_dtype(dt) + assert_equal(dt_flat, [float, int]) + dt_flat = flatten_dtype(dt, True) + assert_equal(dt_flat, [float] * 2 + [int] * 3) + # dtype w/ titles + dt = np.dtype([(("a", "A"), "f8"), (("b", "B"), "f8")]) + dt_flat = flatten_dtype(dt) + assert_equal(dt_flat, [float, float]) diff --git a/lib/python3.12/site-packages/numpy/lib/tests/test__version.py b/lib/python3.12/site-packages/numpy/lib/tests/test__version.py new file mode 100644 index 0000000000000000000000000000000000000000..e6d41ad939323792d31faa7ae517e6835ea851d1 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/tests/test__version.py @@ -0,0 +1,64 @@ +"""Tests for the NumpyVersion class. + +""" +from numpy.testing import assert_, assert_raises +from numpy.lib import NumpyVersion + + +def test_main_versions(): + assert_(NumpyVersion('1.8.0') == '1.8.0') + for ver in ['1.9.0', '2.0.0', '1.8.1', '10.0.1']: + assert_(NumpyVersion('1.8.0') < ver) + + for ver in ['1.7.0', '1.7.1', '0.9.9']: + assert_(NumpyVersion('1.8.0') > ver) + + +def test_version_1_point_10(): + # regression test for gh-2998. + assert_(NumpyVersion('1.9.0') < '1.10.0') + assert_(NumpyVersion('1.11.0') < '1.11.1') + assert_(NumpyVersion('1.11.0') == '1.11.0') + assert_(NumpyVersion('1.99.11') < '1.99.12') + + +def test_alpha_beta_rc(): + assert_(NumpyVersion('1.8.0rc1') == '1.8.0rc1') + for ver in ['1.8.0', '1.8.0rc2']: + assert_(NumpyVersion('1.8.0rc1') < ver) + + for ver in ['1.8.0a2', '1.8.0b3', '1.7.2rc4']: + assert_(NumpyVersion('1.8.0rc1') > ver) + + assert_(NumpyVersion('1.8.0b1') > '1.8.0a2') + + +def test_dev_version(): + assert_(NumpyVersion('1.9.0.dev-Unknown') < '1.9.0') + for ver in ['1.9.0', '1.9.0a1', '1.9.0b2', '1.9.0b2.dev-ffffffff']: + assert_(NumpyVersion('1.9.0.dev-f16acvda') < ver) + + assert_(NumpyVersion('1.9.0.dev-f16acvda') == '1.9.0.dev-11111111') + + +def test_dev_a_b_rc_mixed(): + assert_(NumpyVersion('1.9.0a2.dev-f16acvda') == '1.9.0a2.dev-11111111') + assert_(NumpyVersion('1.9.0a2.dev-6acvda54') < '1.9.0a2') + + +def test_dev0_version(): + assert_(NumpyVersion('1.9.0.dev0+Unknown') < '1.9.0') + for ver in ['1.9.0', '1.9.0a1', '1.9.0b2', '1.9.0b2.dev0+ffffffff']: + assert_(NumpyVersion('1.9.0.dev0+f16acvda') < ver) + + assert_(NumpyVersion('1.9.0.dev0+f16acvda') == '1.9.0.dev0+11111111') + + +def test_dev0_a_b_rc_mixed(): + assert_(NumpyVersion('1.9.0a2.dev0+f16acvda') == '1.9.0a2.dev0+11111111') + assert_(NumpyVersion('1.9.0a2.dev0+6acvda54') < '1.9.0a2') + + +def test_raises(): + for ver in ['1.9', '1,9.0', '1.7.x']: + assert_raises(ValueError, NumpyVersion, ver) diff --git a/lib/python3.12/site-packages/numpy/lib/tests/test_arraypad.py b/lib/python3.12/site-packages/numpy/lib/tests/test_arraypad.py new file mode 100644 index 0000000000000000000000000000000000000000..0bebe36934097207bf7a987475231fb36ee14383 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/tests/test_arraypad.py @@ -0,0 +1,1380 @@ +"""Tests for the array padding functions. + +""" +import pytest + +import numpy as np +from numpy.testing import assert_array_equal, assert_allclose, assert_equal +from numpy.lib.arraypad import _as_pairs + + +_numeric_dtypes = ( + np.sctypes["uint"] + + np.sctypes["int"] + + np.sctypes["float"] + + np.sctypes["complex"] +) +_all_modes = { + 'constant': {'constant_values': 0}, + 'edge': {}, + 'linear_ramp': {'end_values': 0}, + 'maximum': {'stat_length': None}, + 'mean': {'stat_length': None}, + 'median': {'stat_length': None}, + 'minimum': {'stat_length': None}, + 'reflect': {'reflect_type': 'even'}, + 'symmetric': {'reflect_type': 'even'}, + 'wrap': {}, + 'empty': {} +} + + +class TestAsPairs: + def test_single_value(self): + """Test casting for a single value.""" + expected = np.array([[3, 3]] * 10) + for x in (3, [3], [[3]]): + result = _as_pairs(x, 10) + assert_equal(result, expected) + # Test with dtype=object + obj = object() + assert_equal( + _as_pairs(obj, 10), + np.array([[obj, obj]] * 10) + ) + + def test_two_values(self): + """Test proper casting for two different values.""" + # Broadcasting in the first dimension with numbers + expected = np.array([[3, 4]] * 10) + for x in ([3, 4], [[3, 4]]): + result = _as_pairs(x, 10) + assert_equal(result, expected) + # and with dtype=object + obj = object() + assert_equal( + _as_pairs(["a", obj], 10), + np.array([["a", obj]] * 10) + ) + + # Broadcasting in the second / last dimension with numbers + assert_equal( + _as_pairs([[3], [4]], 2), + np.array([[3, 3], [4, 4]]) + ) + # and with dtype=object + assert_equal( + _as_pairs([["a"], [obj]], 2), + np.array([["a", "a"], [obj, obj]]) + ) + + def test_with_none(self): + expected = ((None, None), (None, None), (None, None)) + assert_equal( + _as_pairs(None, 3, as_index=False), + expected + ) + assert_equal( + _as_pairs(None, 3, as_index=True), + expected + ) + + def test_pass_through(self): + """Test if `x` already matching desired output are passed through.""" + expected = np.arange(12).reshape((6, 2)) + assert_equal( + _as_pairs(expected, 6), + expected + ) + + def test_as_index(self): + """Test results if `as_index=True`.""" + assert_equal( + _as_pairs([2.6, 3.3], 10, as_index=True), + np.array([[3, 3]] * 10, dtype=np.intp) + ) + assert_equal( + _as_pairs([2.6, 4.49], 10, as_index=True), + np.array([[3, 4]] * 10, dtype=np.intp) + ) + for x in (-3, [-3], [[-3]], [-3, 4], [3, -4], [[-3, 4]], [[4, -3]], + [[1, 2]] * 9 + [[1, -2]]): + with pytest.raises(ValueError, match="negative values"): + _as_pairs(x, 10, as_index=True) + + def test_exceptions(self): + """Ensure faulty usage is discovered.""" + with pytest.raises(ValueError, match="more dimensions than allowed"): + _as_pairs([[[3]]], 10) + with pytest.raises(ValueError, match="could not be broadcast"): + _as_pairs([[1, 2], [3, 4]], 3) + with pytest.raises(ValueError, match="could not be broadcast"): + _as_pairs(np.ones((2, 3)), 3) + + +class TestConditionalShortcuts: + @pytest.mark.parametrize("mode", _all_modes.keys()) + def test_zero_padding_shortcuts(self, mode): + test = np.arange(120).reshape(4, 5, 6) + pad_amt = [(0, 0) for _ in test.shape] + assert_array_equal(test, np.pad(test, pad_amt, mode=mode)) + + @pytest.mark.parametrize("mode", ['maximum', 'mean', 'median', 'minimum',]) + def test_shallow_statistic_range(self, mode): + test = np.arange(120).reshape(4, 5, 6) + pad_amt = [(1, 1) for _ in test.shape] + assert_array_equal(np.pad(test, pad_amt, mode='edge'), + np.pad(test, pad_amt, mode=mode, stat_length=1)) + + @pytest.mark.parametrize("mode", ['maximum', 'mean', 'median', 'minimum',]) + def test_clip_statistic_range(self, mode): + test = np.arange(30).reshape(5, 6) + pad_amt = [(3, 3) for _ in test.shape] + assert_array_equal(np.pad(test, pad_amt, mode=mode), + np.pad(test, pad_amt, mode=mode, stat_length=30)) + + +class TestStatistic: + def test_check_mean_stat_length(self): + a = np.arange(100).astype('f') + a = np.pad(a, ((25, 20), ), 'mean', stat_length=((2, 3), )) + b = np.array( + [0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, + 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, + 0.5, 0.5, 0.5, 0.5, 0.5, + + 0., 1., 2., 3., 4., 5., 6., 7., 8., 9., + 10., 11., 12., 13., 14., 15., 16., 17., 18., 19., + 20., 21., 22., 23., 24., 25., 26., 27., 28., 29., + 30., 31., 32., 33., 34., 35., 36., 37., 38., 39., + 40., 41., 42., 43., 44., 45., 46., 47., 48., 49., + 50., 51., 52., 53., 54., 55., 56., 57., 58., 59., + 60., 61., 62., 63., 64., 65., 66., 67., 68., 69., + 70., 71., 72., 73., 74., 75., 76., 77., 78., 79., + 80., 81., 82., 83., 84., 85., 86., 87., 88., 89., + 90., 91., 92., 93., 94., 95., 96., 97., 98., 99., + + 98., 98., 98., 98., 98., 98., 98., 98., 98., 98., + 98., 98., 98., 98., 98., 98., 98., 98., 98., 98. + ]) + assert_array_equal(a, b) + + def test_check_maximum_1(self): + a = np.arange(100) + a = np.pad(a, (25, 20), 'maximum') + b = np.array( + [99, 99, 99, 99, 99, 99, 99, 99, 99, 99, + 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, + 99, 99, 99, 99, 99, + + 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, + 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, + 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, + 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, + 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, + 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, + 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, + 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, + 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, + 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, + + 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, + 99, 99, 99, 99, 99, 99, 99, 99, 99, 99] + ) + assert_array_equal(a, b) + + def test_check_maximum_2(self): + a = np.arange(100) + 1 + a = np.pad(a, (25, 20), 'maximum') + b = np.array( + [100, 100, 100, 100, 100, 100, 100, 100, 100, 100, + 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, + 100, 100, 100, 100, 100, + + 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, + 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, + 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, + 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, + 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, + 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, + 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, + 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, + 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, + 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, + + 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, + 100, 100, 100, 100, 100, 100, 100, 100, 100, 100] + ) + assert_array_equal(a, b) + + def test_check_maximum_stat_length(self): + a = np.arange(100) + 1 + a = np.pad(a, (25, 20), 'maximum', stat_length=10) + b = np.array( + [10, 10, 10, 10, 10, 10, 10, 10, 10, 10, + 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, + 10, 10, 10, 10, 10, + + 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, + 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, + 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, + 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, + 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, + 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, + 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, + 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, + 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, + 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, + + 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, + 100, 100, 100, 100, 100, 100, 100, 100, 100, 100] + ) + assert_array_equal(a, b) + + def test_check_minimum_1(self): + a = np.arange(100) + a = np.pad(a, (25, 20), 'minimum') + b = np.array( + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, + + 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, + 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, + 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, + 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, + 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, + 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, + 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, + 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, + 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, + 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, + + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] + ) + assert_array_equal(a, b) + + def test_check_minimum_2(self): + a = np.arange(100) + 2 + a = np.pad(a, (25, 20), 'minimum') + b = np.array( + [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, + + 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, + 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, + 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, + 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, + 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, + 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, + 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, + 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, + 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, + 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, + + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] + ) + assert_array_equal(a, b) + + def test_check_minimum_stat_length(self): + a = np.arange(100) + 1 + a = np.pad(a, (25, 20), 'minimum', stat_length=10) + b = np.array( + [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, + + 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, + 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, + 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, + 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, + 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, + 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, + 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, + 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, + 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, + 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, + + 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, + 91, 91, 91, 91, 91, 91, 91, 91, 91, 91] + ) + assert_array_equal(a, b) + + def test_check_median(self): + a = np.arange(100).astype('f') + a = np.pad(a, (25, 20), 'median') + b = np.array( + [49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, + 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, + 49.5, 49.5, 49.5, 49.5, 49.5, + + 0., 1., 2., 3., 4., 5., 6., 7., 8., 9., + 10., 11., 12., 13., 14., 15., 16., 17., 18., 19., + 20., 21., 22., 23., 24., 25., 26., 27., 28., 29., + 30., 31., 32., 33., 34., 35., 36., 37., 38., 39., + 40., 41., 42., 43., 44., 45., 46., 47., 48., 49., + 50., 51., 52., 53., 54., 55., 56., 57., 58., 59., + 60., 61., 62., 63., 64., 65., 66., 67., 68., 69., + 70., 71., 72., 73., 74., 75., 76., 77., 78., 79., + 80., 81., 82., 83., 84., 85., 86., 87., 88., 89., + 90., 91., 92., 93., 94., 95., 96., 97., 98., 99., + + 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, + 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5] + ) + assert_array_equal(a, b) + + def test_check_median_01(self): + a = np.array([[3, 1, 4], [4, 5, 9], [9, 8, 2]]) + a = np.pad(a, 1, 'median') + b = np.array( + [[4, 4, 5, 4, 4], + + [3, 3, 1, 4, 3], + [5, 4, 5, 9, 5], + [8, 9, 8, 2, 8], + + [4, 4, 5, 4, 4]] + ) + assert_array_equal(a, b) + + def test_check_median_02(self): + a = np.array([[3, 1, 4], [4, 5, 9], [9, 8, 2]]) + a = np.pad(a.T, 1, 'median').T + b = np.array( + [[5, 4, 5, 4, 5], + + [3, 3, 1, 4, 3], + [5, 4, 5, 9, 5], + [8, 9, 8, 2, 8], + + [5, 4, 5, 4, 5]] + ) + assert_array_equal(a, b) + + def test_check_median_stat_length(self): + a = np.arange(100).astype('f') + a[1] = 2. + a[97] = 96. + a = np.pad(a, (25, 20), 'median', stat_length=(3, 5)) + b = np.array( + [ 2., 2., 2., 2., 2., 2., 2., 2., 2., 2., + 2., 2., 2., 2., 2., 2., 2., 2., 2., 2., + 2., 2., 2., 2., 2., + + 0., 2., 2., 3., 4., 5., 6., 7., 8., 9., + 10., 11., 12., 13., 14., 15., 16., 17., 18., 19., + 20., 21., 22., 23., 24., 25., 26., 27., 28., 29., + 30., 31., 32., 33., 34., 35., 36., 37., 38., 39., + 40., 41., 42., 43., 44., 45., 46., 47., 48., 49., + 50., 51., 52., 53., 54., 55., 56., 57., 58., 59., + 60., 61., 62., 63., 64., 65., 66., 67., 68., 69., + 70., 71., 72., 73., 74., 75., 76., 77., 78., 79., + 80., 81., 82., 83., 84., 85., 86., 87., 88., 89., + 90., 91., 92., 93., 94., 95., 96., 96., 98., 99., + + 96., 96., 96., 96., 96., 96., 96., 96., 96., 96., + 96., 96., 96., 96., 96., 96., 96., 96., 96., 96.] + ) + assert_array_equal(a, b) + + def test_check_mean_shape_one(self): + a = [[4, 5, 6]] + a = np.pad(a, (5, 7), 'mean', stat_length=2) + b = np.array( + [[4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6], + [4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6], + [4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6], + [4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6], + [4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6], + + [4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6], + + [4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6], + [4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6], + [4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6], + [4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6], + [4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6], + [4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6], + [4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6]] + ) + assert_array_equal(a, b) + + def test_check_mean_2(self): + a = np.arange(100).astype('f') + a = np.pad(a, (25, 20), 'mean') + b = np.array( + [49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, + 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, + 49.5, 49.5, 49.5, 49.5, 49.5, + + 0., 1., 2., 3., 4., 5., 6., 7., 8., 9., + 10., 11., 12., 13., 14., 15., 16., 17., 18., 19., + 20., 21., 22., 23., 24., 25., 26., 27., 28., 29., + 30., 31., 32., 33., 34., 35., 36., 37., 38., 39., + 40., 41., 42., 43., 44., 45., 46., 47., 48., 49., + 50., 51., 52., 53., 54., 55., 56., 57., 58., 59., + 60., 61., 62., 63., 64., 65., 66., 67., 68., 69., + 70., 71., 72., 73., 74., 75., 76., 77., 78., 79., + 80., 81., 82., 83., 84., 85., 86., 87., 88., 89., + 90., 91., 92., 93., 94., 95., 96., 97., 98., 99., + + 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, + 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5, 49.5] + ) + assert_array_equal(a, b) + + @pytest.mark.parametrize("mode", [ + "mean", + "median", + "minimum", + "maximum" + ]) + def test_same_prepend_append(self, mode): + """ Test that appended and prepended values are equal """ + # This test is constructed to trigger floating point rounding errors in + # a way that caused gh-11216 for mode=='mean' + a = np.array([-1, 2, -1]) + np.array([0, 1e-12, 0], dtype=np.float64) + a = np.pad(a, (1, 1), mode) + assert_equal(a[0], a[-1]) + + @pytest.mark.parametrize("mode", ["mean", "median", "minimum", "maximum"]) + @pytest.mark.parametrize( + "stat_length", [-2, (-2,), (3, -1), ((5, 2), (-2, 3)), ((-4,), (2,))] + ) + def test_check_negative_stat_length(self, mode, stat_length): + arr = np.arange(30).reshape((6, 5)) + match = "index can't contain negative values" + with pytest.raises(ValueError, match=match): + np.pad(arr, 2, mode, stat_length=stat_length) + + def test_simple_stat_length(self): + a = np.arange(30) + a = np.reshape(a, (6, 5)) + a = np.pad(a, ((2, 3), (3, 2)), mode='mean', stat_length=(3,)) + b = np.array( + [[6, 6, 6, 5, 6, 7, 8, 9, 8, 8], + [6, 6, 6, 5, 6, 7, 8, 9, 8, 8], + + [1, 1, 1, 0, 1, 2, 3, 4, 3, 3], + [6, 6, 6, 5, 6, 7, 8, 9, 8, 8], + [11, 11, 11, 10, 11, 12, 13, 14, 13, 13], + [16, 16, 16, 15, 16, 17, 18, 19, 18, 18], + [21, 21, 21, 20, 21, 22, 23, 24, 23, 23], + [26, 26, 26, 25, 26, 27, 28, 29, 28, 28], + + [21, 21, 21, 20, 21, 22, 23, 24, 23, 23], + [21, 21, 21, 20, 21, 22, 23, 24, 23, 23], + [21, 21, 21, 20, 21, 22, 23, 24, 23, 23]] + ) + assert_array_equal(a, b) + + @pytest.mark.filterwarnings("ignore:Mean of empty slice:RuntimeWarning") + @pytest.mark.filterwarnings( + "ignore:invalid value encountered in( scalar)? divide:RuntimeWarning" + ) + @pytest.mark.parametrize("mode", ["mean", "median"]) + def test_zero_stat_length_valid(self, mode): + arr = np.pad([1., 2.], (1, 2), mode, stat_length=0) + expected = np.array([np.nan, 1., 2., np.nan, np.nan]) + assert_equal(arr, expected) + + @pytest.mark.parametrize("mode", ["minimum", "maximum"]) + def test_zero_stat_length_invalid(self, mode): + match = "stat_length of 0 yields no value for padding" + with pytest.raises(ValueError, match=match): + np.pad([1., 2.], 0, mode, stat_length=0) + with pytest.raises(ValueError, match=match): + np.pad([1., 2.], 0, mode, stat_length=(1, 0)) + with pytest.raises(ValueError, match=match): + np.pad([1., 2.], 1, mode, stat_length=0) + with pytest.raises(ValueError, match=match): + np.pad([1., 2.], 1, mode, stat_length=(1, 0)) + + +class TestConstant: + def test_check_constant(self): + a = np.arange(100) + a = np.pad(a, (25, 20), 'constant', constant_values=(10, 20)) + b = np.array( + [10, 10, 10, 10, 10, 10, 10, 10, 10, 10, + 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, + 10, 10, 10, 10, 10, + + 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, + 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, + 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, + 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, + 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, + 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, + 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, + 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, + 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, + 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, + + 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, + 20, 20, 20, 20, 20, 20, 20, 20, 20, 20] + ) + assert_array_equal(a, b) + + def test_check_constant_zeros(self): + a = np.arange(100) + a = np.pad(a, (25, 20), 'constant') + b = np.array( + [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, + + 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, + 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, + 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, + 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, + 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, + 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, + 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, + 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, + 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, + 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, + + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] + ) + assert_array_equal(a, b) + + def test_check_constant_float(self): + # If input array is int, but constant_values are float, the dtype of + # the array to be padded is kept + arr = np.arange(30).reshape(5, 6) + test = np.pad(arr, (1, 2), mode='constant', + constant_values=1.1) + expected = np.array( + [[ 1, 1, 1, 1, 1, 1, 1, 1, 1], + + [ 1, 0, 1, 2, 3, 4, 5, 1, 1], + [ 1, 6, 7, 8, 9, 10, 11, 1, 1], + [ 1, 12, 13, 14, 15, 16, 17, 1, 1], + [ 1, 18, 19, 20, 21, 22, 23, 1, 1], + [ 1, 24, 25, 26, 27, 28, 29, 1, 1], + + [ 1, 1, 1, 1, 1, 1, 1, 1, 1], + [ 1, 1, 1, 1, 1, 1, 1, 1, 1]] + ) + assert_allclose(test, expected) + + def test_check_constant_float2(self): + # If input array is float, and constant_values are float, the dtype of + # the array to be padded is kept - here retaining the float constants + arr = np.arange(30).reshape(5, 6) + arr_float = arr.astype(np.float64) + test = np.pad(arr_float, ((1, 2), (1, 2)), mode='constant', + constant_values=1.1) + expected = np.array( + [[ 1.1, 1.1, 1.1, 1.1, 1.1, 1.1, 1.1, 1.1, 1.1], + + [ 1.1, 0. , 1. , 2. , 3. , 4. , 5. , 1.1, 1.1], + [ 1.1, 6. , 7. , 8. , 9. , 10. , 11. , 1.1, 1.1], + [ 1.1, 12. , 13. , 14. , 15. , 16. , 17. , 1.1, 1.1], + [ 1.1, 18. , 19. , 20. , 21. , 22. , 23. , 1.1, 1.1], + [ 1.1, 24. , 25. , 26. , 27. , 28. , 29. , 1.1, 1.1], + + [ 1.1, 1.1, 1.1, 1.1, 1.1, 1.1, 1.1, 1.1, 1.1], + [ 1.1, 1.1, 1.1, 1.1, 1.1, 1.1, 1.1, 1.1, 1.1]] + ) + assert_allclose(test, expected) + + def test_check_constant_float3(self): + a = np.arange(100, dtype=float) + a = np.pad(a, (25, 20), 'constant', constant_values=(-1.1, -1.2)) + b = np.array( + [-1.1, -1.1, -1.1, -1.1, -1.1, -1.1, -1.1, -1.1, -1.1, -1.1, + -1.1, -1.1, -1.1, -1.1, -1.1, -1.1, -1.1, -1.1, -1.1, -1.1, + -1.1, -1.1, -1.1, -1.1, -1.1, + + 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, + 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, + 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, + 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, + 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, + 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, + 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, + 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, + 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, + 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, + + -1.2, -1.2, -1.2, -1.2, -1.2, -1.2, -1.2, -1.2, -1.2, -1.2, + -1.2, -1.2, -1.2, -1.2, -1.2, -1.2, -1.2, -1.2, -1.2, -1.2] + ) + assert_allclose(a, b) + + def test_check_constant_odd_pad_amount(self): + arr = np.arange(30).reshape(5, 6) + test = np.pad(arr, ((1,), (2,)), mode='constant', + constant_values=3) + expected = np.array( + [[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], + + [ 3, 3, 0, 1, 2, 3, 4, 5, 3, 3], + [ 3, 3, 6, 7, 8, 9, 10, 11, 3, 3], + [ 3, 3, 12, 13, 14, 15, 16, 17, 3, 3], + [ 3, 3, 18, 19, 20, 21, 22, 23, 3, 3], + [ 3, 3, 24, 25, 26, 27, 28, 29, 3, 3], + + [ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]] + ) + assert_allclose(test, expected) + + def test_check_constant_pad_2d(self): + arr = np.arange(4).reshape(2, 2) + test = np.lib.pad(arr, ((1, 2), (1, 3)), mode='constant', + constant_values=((1, 2), (3, 4))) + expected = np.array( + [[3, 1, 1, 4, 4, 4], + [3, 0, 1, 4, 4, 4], + [3, 2, 3, 4, 4, 4], + [3, 2, 2, 4, 4, 4], + [3, 2, 2, 4, 4, 4]] + ) + assert_allclose(test, expected) + + def test_check_large_integers(self): + uint64_max = 2 ** 64 - 1 + arr = np.full(5, uint64_max, dtype=np.uint64) + test = np.pad(arr, 1, mode="constant", constant_values=arr.min()) + expected = np.full(7, uint64_max, dtype=np.uint64) + assert_array_equal(test, expected) + + int64_max = 2 ** 63 - 1 + arr = np.full(5, int64_max, dtype=np.int64) + test = np.pad(arr, 1, mode="constant", constant_values=arr.min()) + expected = np.full(7, int64_max, dtype=np.int64) + assert_array_equal(test, expected) + + def test_check_object_array(self): + arr = np.empty(1, dtype=object) + obj_a = object() + arr[0] = obj_a + obj_b = object() + obj_c = object() + arr = np.pad(arr, pad_width=1, mode='constant', + constant_values=(obj_b, obj_c)) + + expected = np.empty((3,), dtype=object) + expected[0] = obj_b + expected[1] = obj_a + expected[2] = obj_c + + assert_array_equal(arr, expected) + + def test_pad_empty_dimension(self): + arr = np.zeros((3, 0, 2)) + result = np.pad(arr, [(0,), (2,), (1,)], mode="constant") + assert result.shape == (3, 4, 4) + + +class TestLinearRamp: + def test_check_simple(self): + a = np.arange(100).astype('f') + a = np.pad(a, (25, 20), 'linear_ramp', end_values=(4, 5)) + b = np.array( + [4.00, 3.84, 3.68, 3.52, 3.36, 3.20, 3.04, 2.88, 2.72, 2.56, + 2.40, 2.24, 2.08, 1.92, 1.76, 1.60, 1.44, 1.28, 1.12, 0.96, + 0.80, 0.64, 0.48, 0.32, 0.16, + + 0.00, 1.00, 2.00, 3.00, 4.00, 5.00, 6.00, 7.00, 8.00, 9.00, + 10.0, 11.0, 12.0, 13.0, 14.0, 15.0, 16.0, 17.0, 18.0, 19.0, + 20.0, 21.0, 22.0, 23.0, 24.0, 25.0, 26.0, 27.0, 28.0, 29.0, + 30.0, 31.0, 32.0, 33.0, 34.0, 35.0, 36.0, 37.0, 38.0, 39.0, + 40.0, 41.0, 42.0, 43.0, 44.0, 45.0, 46.0, 47.0, 48.0, 49.0, + 50.0, 51.0, 52.0, 53.0, 54.0, 55.0, 56.0, 57.0, 58.0, 59.0, + 60.0, 61.0, 62.0, 63.0, 64.0, 65.0, 66.0, 67.0, 68.0, 69.0, + 70.0, 71.0, 72.0, 73.0, 74.0, 75.0, 76.0, 77.0, 78.0, 79.0, + 80.0, 81.0, 82.0, 83.0, 84.0, 85.0, 86.0, 87.0, 88.0, 89.0, + 90.0, 91.0, 92.0, 93.0, 94.0, 95.0, 96.0, 97.0, 98.0, 99.0, + + 94.3, 89.6, 84.9, 80.2, 75.5, 70.8, 66.1, 61.4, 56.7, 52.0, + 47.3, 42.6, 37.9, 33.2, 28.5, 23.8, 19.1, 14.4, 9.7, 5.] + ) + assert_allclose(a, b, rtol=1e-5, atol=1e-5) + + def test_check_2d(self): + arr = np.arange(20).reshape(4, 5).astype(np.float64) + test = np.pad(arr, (2, 2), mode='linear_ramp', end_values=(0, 0)) + expected = np.array( + [[0., 0., 0., 0., 0., 0., 0., 0., 0.], + [0., 0., 0., 0.5, 1., 1.5, 2., 1., 0.], + [0., 0., 0., 1., 2., 3., 4., 2., 0.], + [0., 2.5, 5., 6., 7., 8., 9., 4.5, 0.], + [0., 5., 10., 11., 12., 13., 14., 7., 0.], + [0., 7.5, 15., 16., 17., 18., 19., 9.5, 0.], + [0., 3.75, 7.5, 8., 8.5, 9., 9.5, 4.75, 0.], + [0., 0., 0., 0., 0., 0., 0., 0., 0.]]) + assert_allclose(test, expected) + + @pytest.mark.xfail(exceptions=(AssertionError,)) + def test_object_array(self): + from fractions import Fraction + arr = np.array([Fraction(1, 2), Fraction(-1, 2)]) + actual = np.pad(arr, (2, 3), mode='linear_ramp', end_values=0) + + # deliberately chosen to have a non-power-of-2 denominator such that + # rounding to floats causes a failure. + expected = np.array([ + Fraction( 0, 12), + Fraction( 3, 12), + Fraction( 6, 12), + Fraction(-6, 12), + Fraction(-4, 12), + Fraction(-2, 12), + Fraction(-0, 12), + ]) + assert_equal(actual, expected) + + def test_end_values(self): + """Ensure that end values are exact.""" + a = np.pad(np.ones(10).reshape(2, 5), (223, 123), mode="linear_ramp") + assert_equal(a[:, 0], 0.) + assert_equal(a[:, -1], 0.) + assert_equal(a[0, :], 0.) + assert_equal(a[-1, :], 0.) + + @pytest.mark.parametrize("dtype", _numeric_dtypes) + def test_negative_difference(self, dtype): + """ + Check correct behavior of unsigned dtypes if there is a negative + difference between the edge to pad and `end_values`. Check both cases + to be independent of implementation. Test behavior for all other dtypes + in case dtype casting interferes with complex dtypes. See gh-14191. + """ + x = np.array([3], dtype=dtype) + result = np.pad(x, 3, mode="linear_ramp", end_values=0) + expected = np.array([0, 1, 2, 3, 2, 1, 0], dtype=dtype) + assert_equal(result, expected) + + x = np.array([0], dtype=dtype) + result = np.pad(x, 3, mode="linear_ramp", end_values=3) + expected = np.array([3, 2, 1, 0, 1, 2, 3], dtype=dtype) + assert_equal(result, expected) + + +class TestReflect: + def test_check_simple(self): + a = np.arange(100) + a = np.pad(a, (25, 20), 'reflect') + b = np.array( + [25, 24, 23, 22, 21, 20, 19, 18, 17, 16, + 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, + 5, 4, 3, 2, 1, + + 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, + 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, + 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, + 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, + 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, + 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, + 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, + 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, + 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, + 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, + + 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, + 88, 87, 86, 85, 84, 83, 82, 81, 80, 79] + ) + assert_array_equal(a, b) + + def test_check_odd_method(self): + a = np.arange(100) + a = np.pad(a, (25, 20), 'reflect', reflect_type='odd') + b = np.array( + [-25, -24, -23, -22, -21, -20, -19, -18, -17, -16, + -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, + -5, -4, -3, -2, -1, + + 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, + 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, + 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, + 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, + 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, + 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, + 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, + 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, + 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, + 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, + + 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, + 110, 111, 112, 113, 114, 115, 116, 117, 118, 119] + ) + assert_array_equal(a, b) + + def test_check_large_pad(self): + a = [[4, 5, 6], [6, 7, 8]] + a = np.pad(a, (5, 7), 'reflect') + b = np.array( + [[7, 6, 7, 8, 7, 6, 7, 8, 7, 6, 7, 8, 7, 6, 7], + [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5], + [7, 6, 7, 8, 7, 6, 7, 8, 7, 6, 7, 8, 7, 6, 7], + [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5], + [7, 6, 7, 8, 7, 6, 7, 8, 7, 6, 7, 8, 7, 6, 7], + + [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5], + [7, 6, 7, 8, 7, 6, 7, 8, 7, 6, 7, 8, 7, 6, 7], + + [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5], + [7, 6, 7, 8, 7, 6, 7, 8, 7, 6, 7, 8, 7, 6, 7], + [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5], + [7, 6, 7, 8, 7, 6, 7, 8, 7, 6, 7, 8, 7, 6, 7], + [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5], + [7, 6, 7, 8, 7, 6, 7, 8, 7, 6, 7, 8, 7, 6, 7], + [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5]] + ) + assert_array_equal(a, b) + + def test_check_shape(self): + a = [[4, 5, 6]] + a = np.pad(a, (5, 7), 'reflect') + b = np.array( + [[5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5], + [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5], + [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5], + [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5], + [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5], + + [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5], + + [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5], + [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5], + [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5], + [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5], + [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5], + [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5], + [5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5]] + ) + assert_array_equal(a, b) + + def test_check_01(self): + a = np.pad([1, 2, 3], 2, 'reflect') + b = np.array([3, 2, 1, 2, 3, 2, 1]) + assert_array_equal(a, b) + + def test_check_02(self): + a = np.pad([1, 2, 3], 3, 'reflect') + b = np.array([2, 3, 2, 1, 2, 3, 2, 1, 2]) + assert_array_equal(a, b) + + def test_check_03(self): + a = np.pad([1, 2, 3], 4, 'reflect') + b = np.array([1, 2, 3, 2, 1, 2, 3, 2, 1, 2, 3]) + assert_array_equal(a, b) + + +class TestEmptyArray: + """Check how padding behaves on arrays with an empty dimension.""" + + @pytest.mark.parametrize( + # Keep parametrization ordered, otherwise pytest-xdist might believe + # that different tests were collected during parallelization + "mode", sorted(_all_modes.keys() - {"constant", "empty"}) + ) + def test_pad_empty_dimension(self, mode): + match = ("can't extend empty axis 0 using modes other than 'constant' " + "or 'empty'") + with pytest.raises(ValueError, match=match): + np.pad([], 4, mode=mode) + with pytest.raises(ValueError, match=match): + np.pad(np.ndarray(0), 4, mode=mode) + with pytest.raises(ValueError, match=match): + np.pad(np.zeros((0, 3)), ((1,), (0,)), mode=mode) + + @pytest.mark.parametrize("mode", _all_modes.keys()) + def test_pad_non_empty_dimension(self, mode): + result = np.pad(np.ones((2, 0, 2)), ((3,), (0,), (1,)), mode=mode) + assert result.shape == (8, 0, 4) + + +class TestSymmetric: + def test_check_simple(self): + a = np.arange(100) + a = np.pad(a, (25, 20), 'symmetric') + b = np.array( + [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, + 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, + 4, 3, 2, 1, 0, + + 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, + 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, + 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, + 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, + 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, + 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, + 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, + 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, + 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, + 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, + + 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, + 89, 88, 87, 86, 85, 84, 83, 82, 81, 80] + ) + assert_array_equal(a, b) + + def test_check_odd_method(self): + a = np.arange(100) + a = np.pad(a, (25, 20), 'symmetric', reflect_type='odd') + b = np.array( + [-24, -23, -22, -21, -20, -19, -18, -17, -16, -15, + -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, + -4, -3, -2, -1, 0, + + 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, + 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, + 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, + 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, + 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, + 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, + 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, + 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, + 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, + 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, + + 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, + 109, 110, 111, 112, 113, 114, 115, 116, 117, 118] + ) + assert_array_equal(a, b) + + def test_check_large_pad(self): + a = [[4, 5, 6], [6, 7, 8]] + a = np.pad(a, (5, 7), 'symmetric') + b = np.array( + [[5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6], + [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6], + [7, 8, 8, 7, 6, 6, 7, 8, 8, 7, 6, 6, 7, 8, 8], + [7, 8, 8, 7, 6, 6, 7, 8, 8, 7, 6, 6, 7, 8, 8], + [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6], + + [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6], + [7, 8, 8, 7, 6, 6, 7, 8, 8, 7, 6, 6, 7, 8, 8], + + [7, 8, 8, 7, 6, 6, 7, 8, 8, 7, 6, 6, 7, 8, 8], + [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6], + [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6], + [7, 8, 8, 7, 6, 6, 7, 8, 8, 7, 6, 6, 7, 8, 8], + [7, 8, 8, 7, 6, 6, 7, 8, 8, 7, 6, 6, 7, 8, 8], + [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6], + [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6]] + ) + + assert_array_equal(a, b) + + def test_check_large_pad_odd(self): + a = [[4, 5, 6], [6, 7, 8]] + a = np.pad(a, (5, 7), 'symmetric', reflect_type='odd') + b = np.array( + [[-3, -2, -2, -1, 0, 0, 1, 2, 2, 3, 4, 4, 5, 6, 6], + [-3, -2, -2, -1, 0, 0, 1, 2, 2, 3, 4, 4, 5, 6, 6], + [-1, 0, 0, 1, 2, 2, 3, 4, 4, 5, 6, 6, 7, 8, 8], + [-1, 0, 0, 1, 2, 2, 3, 4, 4, 5, 6, 6, 7, 8, 8], + [ 1, 2, 2, 3, 4, 4, 5, 6, 6, 7, 8, 8, 9, 10, 10], + + [ 1, 2, 2, 3, 4, 4, 5, 6, 6, 7, 8, 8, 9, 10, 10], + [ 3, 4, 4, 5, 6, 6, 7, 8, 8, 9, 10, 10, 11, 12, 12], + + [ 3, 4, 4, 5, 6, 6, 7, 8, 8, 9, 10, 10, 11, 12, 12], + [ 5, 6, 6, 7, 8, 8, 9, 10, 10, 11, 12, 12, 13, 14, 14], + [ 5, 6, 6, 7, 8, 8, 9, 10, 10, 11, 12, 12, 13, 14, 14], + [ 7, 8, 8, 9, 10, 10, 11, 12, 12, 13, 14, 14, 15, 16, 16], + [ 7, 8, 8, 9, 10, 10, 11, 12, 12, 13, 14, 14, 15, 16, 16], + [ 9, 10, 10, 11, 12, 12, 13, 14, 14, 15, 16, 16, 17, 18, 18], + [ 9, 10, 10, 11, 12, 12, 13, 14, 14, 15, 16, 16, 17, 18, 18]] + ) + assert_array_equal(a, b) + + def test_check_shape(self): + a = [[4, 5, 6]] + a = np.pad(a, (5, 7), 'symmetric') + b = np.array( + [[5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6], + [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6], + [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6], + [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6], + [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6], + + [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6], + [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6], + + [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6], + [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6], + [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6], + [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6], + [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6], + [5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6]] + ) + assert_array_equal(a, b) + + def test_check_01(self): + a = np.pad([1, 2, 3], 2, 'symmetric') + b = np.array([2, 1, 1, 2, 3, 3, 2]) + assert_array_equal(a, b) + + def test_check_02(self): + a = np.pad([1, 2, 3], 3, 'symmetric') + b = np.array([3, 2, 1, 1, 2, 3, 3, 2, 1]) + assert_array_equal(a, b) + + def test_check_03(self): + a = np.pad([1, 2, 3], 6, 'symmetric') + b = np.array([1, 2, 3, 3, 2, 1, 1, 2, 3, 3, 2, 1, 1, 2, 3]) + assert_array_equal(a, b) + + +class TestWrap: + def test_check_simple(self): + a = np.arange(100) + a = np.pad(a, (25, 20), 'wrap') + b = np.array( + [75, 76, 77, 78, 79, 80, 81, 82, 83, 84, + 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, + 95, 96, 97, 98, 99, + + 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, + 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, + 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, + 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, + 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, + 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, + 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, + 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, + 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, + 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, + + 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, + 10, 11, 12, 13, 14, 15, 16, 17, 18, 19] + ) + assert_array_equal(a, b) + + def test_check_large_pad(self): + a = np.arange(12) + a = np.reshape(a, (3, 4)) + a = np.pad(a, (10, 12), 'wrap') + b = np.array( + [[10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10, + 11, 8, 9, 10, 11, 8, 9, 10, 11], + [2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, + 3, 0, 1, 2, 3, 0, 1, 2, 3], + [6, 7, 4, 5, 6, 7, 4, 5, 6, 7, 4, 5, 6, 7, 4, 5, 6, + 7, 4, 5, 6, 7, 4, 5, 6, 7], + [10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10, + 11, 8, 9, 10, 11, 8, 9, 10, 11], + [2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, + 3, 0, 1, 2, 3, 0, 1, 2, 3], + [6, 7, 4, 5, 6, 7, 4, 5, 6, 7, 4, 5, 6, 7, 4, 5, 6, + 7, 4, 5, 6, 7, 4, 5, 6, 7], + [10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10, + 11, 8, 9, 10, 11, 8, 9, 10, 11], + [2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, + 3, 0, 1, 2, 3, 0, 1, 2, 3], + [6, 7, 4, 5, 6, 7, 4, 5, 6, 7, 4, 5, 6, 7, 4, 5, 6, + 7, 4, 5, 6, 7, 4, 5, 6, 7], + [10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10, + 11, 8, 9, 10, 11, 8, 9, 10, 11], + + [2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, + 3, 0, 1, 2, 3, 0, 1, 2, 3], + [6, 7, 4, 5, 6, 7, 4, 5, 6, 7, 4, 5, 6, 7, 4, 5, 6, + 7, 4, 5, 6, 7, 4, 5, 6, 7], + [10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10, + 11, 8, 9, 10, 11, 8, 9, 10, 11], + + [2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, + 3, 0, 1, 2, 3, 0, 1, 2, 3], + [6, 7, 4, 5, 6, 7, 4, 5, 6, 7, 4, 5, 6, 7, 4, 5, 6, + 7, 4, 5, 6, 7, 4, 5, 6, 7], + [10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10, + 11, 8, 9, 10, 11, 8, 9, 10, 11], + [2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, + 3, 0, 1, 2, 3, 0, 1, 2, 3], + [6, 7, 4, 5, 6, 7, 4, 5, 6, 7, 4, 5, 6, 7, 4, 5, 6, + 7, 4, 5, 6, 7, 4, 5, 6, 7], + [10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10, + 11, 8, 9, 10, 11, 8, 9, 10, 11], + [2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, + 3, 0, 1, 2, 3, 0, 1, 2, 3], + [6, 7, 4, 5, 6, 7, 4, 5, 6, 7, 4, 5, 6, 7, 4, 5, 6, + 7, 4, 5, 6, 7, 4, 5, 6, 7], + [10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10, + 11, 8, 9, 10, 11, 8, 9, 10, 11], + [2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, + 3, 0, 1, 2, 3, 0, 1, 2, 3], + [6, 7, 4, 5, 6, 7, 4, 5, 6, 7, 4, 5, 6, 7, 4, 5, 6, + 7, 4, 5, 6, 7, 4, 5, 6, 7], + [10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10, 11, 8, 9, 10, + 11, 8, 9, 10, 11, 8, 9, 10, 11]] + ) + assert_array_equal(a, b) + + def test_check_01(self): + a = np.pad([1, 2, 3], 3, 'wrap') + b = np.array([1, 2, 3, 1, 2, 3, 1, 2, 3]) + assert_array_equal(a, b) + + def test_check_02(self): + a = np.pad([1, 2, 3], 4, 'wrap') + b = np.array([3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1]) + assert_array_equal(a, b) + + def test_pad_with_zero(self): + a = np.ones((3, 5)) + b = np.pad(a, (0, 5), mode="wrap") + assert_array_equal(a, b[:-5, :-5]) + + def test_repeated_wrapping(self): + """ + Check wrapping on each side individually if the wrapped area is longer + than the original array. + """ + a = np.arange(5) + b = np.pad(a, (12, 0), mode="wrap") + assert_array_equal(np.r_[a, a, a, a][3:], b) + + a = np.arange(5) + b = np.pad(a, (0, 12), mode="wrap") + assert_array_equal(np.r_[a, a, a, a][:-3], b) + + def test_repeated_wrapping_multiple_origin(self): + """ + Assert that 'wrap' pads only with multiples of the original area if + the pad width is larger than the original array. + """ + a = np.arange(4).reshape(2, 2) + a = np.pad(a, [(1, 3), (3, 1)], mode='wrap') + b = np.array( + [[3, 2, 3, 2, 3, 2], + [1, 0, 1, 0, 1, 0], + [3, 2, 3, 2, 3, 2], + [1, 0, 1, 0, 1, 0], + [3, 2, 3, 2, 3, 2], + [1, 0, 1, 0, 1, 0]] + ) + assert_array_equal(a, b) + + +class TestEdge: + def test_check_simple(self): + a = np.arange(12) + a = np.reshape(a, (4, 3)) + a = np.pad(a, ((2, 3), (3, 2)), 'edge') + b = np.array( + [[0, 0, 0, 0, 1, 2, 2, 2], + [0, 0, 0, 0, 1, 2, 2, 2], + + [0, 0, 0, 0, 1, 2, 2, 2], + [3, 3, 3, 3, 4, 5, 5, 5], + [6, 6, 6, 6, 7, 8, 8, 8], + [9, 9, 9, 9, 10, 11, 11, 11], + + [9, 9, 9, 9, 10, 11, 11, 11], + [9, 9, 9, 9, 10, 11, 11, 11], + [9, 9, 9, 9, 10, 11, 11, 11]] + ) + assert_array_equal(a, b) + + def test_check_width_shape_1_2(self): + # Check a pad_width of the form ((1, 2),). + # Regression test for issue gh-7808. + a = np.array([1, 2, 3]) + padded = np.pad(a, ((1, 2),), 'edge') + expected = np.array([1, 1, 2, 3, 3, 3]) + assert_array_equal(padded, expected) + + a = np.array([[1, 2, 3], [4, 5, 6]]) + padded = np.pad(a, ((1, 2),), 'edge') + expected = np.pad(a, ((1, 2), (1, 2)), 'edge') + assert_array_equal(padded, expected) + + a = np.arange(24).reshape(2, 3, 4) + padded = np.pad(a, ((1, 2),), 'edge') + expected = np.pad(a, ((1, 2), (1, 2), (1, 2)), 'edge') + assert_array_equal(padded, expected) + + +class TestEmpty: + def test_simple(self): + arr = np.arange(24).reshape(4, 6) + result = np.pad(arr, [(2, 3), (3, 1)], mode="empty") + assert result.shape == (9, 10) + assert_equal(arr, result[2:-3, 3:-1]) + + def test_pad_empty_dimension(self): + arr = np.zeros((3, 0, 2)) + result = np.pad(arr, [(0,), (2,), (1,)], mode="empty") + assert result.shape == (3, 4, 4) + + +def test_legacy_vector_functionality(): + def _padwithtens(vector, pad_width, iaxis, kwargs): + vector[:pad_width[0]] = 10 + vector[-pad_width[1]:] = 10 + + a = np.arange(6).reshape(2, 3) + a = np.pad(a, 2, _padwithtens) + b = np.array( + [[10, 10, 10, 10, 10, 10, 10], + [10, 10, 10, 10, 10, 10, 10], + + [10, 10, 0, 1, 2, 10, 10], + [10, 10, 3, 4, 5, 10, 10], + + [10, 10, 10, 10, 10, 10, 10], + [10, 10, 10, 10, 10, 10, 10]] + ) + assert_array_equal(a, b) + + +def test_unicode_mode(): + a = np.pad([1], 2, mode='constant') + b = np.array([0, 0, 1, 0, 0]) + assert_array_equal(a, b) + + +@pytest.mark.parametrize("mode", ["edge", "symmetric", "reflect", "wrap"]) +def test_object_input(mode): + # Regression test for issue gh-11395. + a = np.full((4, 3), fill_value=None) + pad_amt = ((2, 3), (3, 2)) + b = np.full((9, 8), fill_value=None) + assert_array_equal(np.pad(a, pad_amt, mode=mode), b) + + +class TestPadWidth: + @pytest.mark.parametrize("pad_width", [ + (4, 5, 6, 7), + ((1,), (2,), (3,)), + ((1, 2), (3, 4), (5, 6)), + ((3, 4, 5), (0, 1, 2)), + ]) + @pytest.mark.parametrize("mode", _all_modes.keys()) + def test_misshaped_pad_width(self, pad_width, mode): + arr = np.arange(30).reshape((6, 5)) + match = "operands could not be broadcast together" + with pytest.raises(ValueError, match=match): + np.pad(arr, pad_width, mode) + + @pytest.mark.parametrize("mode", _all_modes.keys()) + def test_misshaped_pad_width_2(self, mode): + arr = np.arange(30).reshape((6, 5)) + match = ("input operand has more dimensions than allowed by the axis " + "remapping") + with pytest.raises(ValueError, match=match): + np.pad(arr, (((3,), (4,), (5,)), ((0,), (1,), (2,))), mode) + + @pytest.mark.parametrize( + "pad_width", [-2, (-2,), (3, -1), ((5, 2), (-2, 3)), ((-4,), (2,))]) + @pytest.mark.parametrize("mode", _all_modes.keys()) + def test_negative_pad_width(self, pad_width, mode): + arr = np.arange(30).reshape((6, 5)) + match = "index can't contain negative values" + with pytest.raises(ValueError, match=match): + np.pad(arr, pad_width, mode) + + @pytest.mark.parametrize("pad_width, dtype", [ + ("3", None), + ("word", None), + (None, None), + (object(), None), + (3.4, None), + (((2, 3, 4), (3, 2)), object), + (complex(1, -1), None), + (((-2.1, 3), (3, 2)), None), + ]) + @pytest.mark.parametrize("mode", _all_modes.keys()) + def test_bad_type(self, pad_width, dtype, mode): + arr = np.arange(30).reshape((6, 5)) + match = "`pad_width` must be of integral type." + if dtype is not None: + # avoid DeprecationWarning when not specifying dtype + with pytest.raises(TypeError, match=match): + np.pad(arr, np.array(pad_width, dtype=dtype), mode) + else: + with pytest.raises(TypeError, match=match): + np.pad(arr, pad_width, mode) + with pytest.raises(TypeError, match=match): + np.pad(arr, np.array(pad_width), mode) + + def test_pad_width_as_ndarray(self): + a = np.arange(12) + a = np.reshape(a, (4, 3)) + a = np.pad(a, np.array(((2, 3), (3, 2))), 'edge') + b = np.array( + [[0, 0, 0, 0, 1, 2, 2, 2], + [0, 0, 0, 0, 1, 2, 2, 2], + + [0, 0, 0, 0, 1, 2, 2, 2], + [3, 3, 3, 3, 4, 5, 5, 5], + [6, 6, 6, 6, 7, 8, 8, 8], + [9, 9, 9, 9, 10, 11, 11, 11], + + [9, 9, 9, 9, 10, 11, 11, 11], + [9, 9, 9, 9, 10, 11, 11, 11], + [9, 9, 9, 9, 10, 11, 11, 11]] + ) + assert_array_equal(a, b) + + @pytest.mark.parametrize("pad_width", [0, (0, 0), ((0, 0), (0, 0))]) + @pytest.mark.parametrize("mode", _all_modes.keys()) + def test_zero_pad_width(self, pad_width, mode): + arr = np.arange(30).reshape(6, 5) + assert_array_equal(arr, np.pad(arr, pad_width, mode=mode)) + + +@pytest.mark.parametrize("mode", _all_modes.keys()) +def test_kwargs(mode): + """Test behavior of pad's kwargs for the given mode.""" + allowed = _all_modes[mode] + not_allowed = {} + for kwargs in _all_modes.values(): + if kwargs != allowed: + not_allowed.update(kwargs) + # Test if allowed keyword arguments pass + np.pad([1, 2, 3], 1, mode, **allowed) + # Test if prohibited keyword arguments of other modes raise an error + for key, value in not_allowed.items(): + match = "unsupported keyword arguments for mode '{}'".format(mode) + with pytest.raises(ValueError, match=match): + np.pad([1, 2, 3], 1, mode, **{key: value}) + + +def test_constant_zero_default(): + arr = np.array([1, 1]) + assert_array_equal(np.pad(arr, 2), [0, 0, 1, 1, 0, 0]) + + +@pytest.mark.parametrize("mode", [1, "const", object(), None, True, False]) +def test_unsupported_mode(mode): + match= "mode '{}' is not supported".format(mode) + with pytest.raises(ValueError, match=match): + np.pad([1, 2, 3], 4, mode=mode) + + +@pytest.mark.parametrize("mode", _all_modes.keys()) +def test_non_contiguous_array(mode): + arr = np.arange(24).reshape(4, 6)[::2, ::2] + result = np.pad(arr, (2, 3), mode) + assert result.shape == (7, 8) + assert_equal(result[2:-3, 2:-3], arr) + + +@pytest.mark.parametrize("mode", _all_modes.keys()) +def test_memory_layout_persistence(mode): + """Test if C and F order is preserved for all pad modes.""" + x = np.ones((5, 10), order='C') + assert np.pad(x, 5, mode).flags["C_CONTIGUOUS"] + x = np.ones((5, 10), order='F') + assert np.pad(x, 5, mode).flags["F_CONTIGUOUS"] + + +@pytest.mark.parametrize("dtype", _numeric_dtypes) +@pytest.mark.parametrize("mode", _all_modes.keys()) +def test_dtype_persistence(dtype, mode): + arr = np.zeros((3, 2, 1), dtype=dtype) + result = np.pad(arr, 1, mode=mode) + assert result.dtype == dtype diff --git a/lib/python3.12/site-packages/numpy/lib/tests/test_arraysetops.py b/lib/python3.12/site-packages/numpy/lib/tests/test_arraysetops.py new file mode 100644 index 0000000000000000000000000000000000000000..a180accbe4512892b8dd9c789441e1c5c3fd209c --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/tests/test_arraysetops.py @@ -0,0 +1,944 @@ +"""Test functions for 1D array set operations. + +""" +import numpy as np + +from numpy.testing import (assert_array_equal, assert_equal, + assert_raises, assert_raises_regex) +from numpy.lib.arraysetops import ( + ediff1d, intersect1d, setxor1d, union1d, setdiff1d, unique, in1d, isin + ) +import pytest + + +class TestSetOps: + + def test_intersect1d(self): + # unique inputs + a = np.array([5, 7, 1, 2]) + b = np.array([2, 4, 3, 1, 5]) + + ec = np.array([1, 2, 5]) + c = intersect1d(a, b, assume_unique=True) + assert_array_equal(c, ec) + + # non-unique inputs + a = np.array([5, 5, 7, 1, 2]) + b = np.array([2, 1, 4, 3, 3, 1, 5]) + + ed = np.array([1, 2, 5]) + c = intersect1d(a, b) + assert_array_equal(c, ed) + assert_array_equal([], intersect1d([], [])) + + def test_intersect1d_array_like(self): + # See gh-11772 + class Test: + def __array__(self): + return np.arange(3) + + a = Test() + res = intersect1d(a, a) + assert_array_equal(res, a) + res = intersect1d([1, 2, 3], [1, 2, 3]) + assert_array_equal(res, [1, 2, 3]) + + def test_intersect1d_indices(self): + # unique inputs + a = np.array([1, 2, 3, 4]) + b = np.array([2, 1, 4, 6]) + c, i1, i2 = intersect1d(a, b, assume_unique=True, return_indices=True) + ee = np.array([1, 2, 4]) + assert_array_equal(c, ee) + assert_array_equal(a[i1], ee) + assert_array_equal(b[i2], ee) + + # non-unique inputs + a = np.array([1, 2, 2, 3, 4, 3, 2]) + b = np.array([1, 8, 4, 2, 2, 3, 2, 3]) + c, i1, i2 = intersect1d(a, b, return_indices=True) + ef = np.array([1, 2, 3, 4]) + assert_array_equal(c, ef) + assert_array_equal(a[i1], ef) + assert_array_equal(b[i2], ef) + + # non1d, unique inputs + a = np.array([[2, 4, 5, 6], [7, 8, 1, 15]]) + b = np.array([[3, 2, 7, 6], [10, 12, 8, 9]]) + c, i1, i2 = intersect1d(a, b, assume_unique=True, return_indices=True) + ui1 = np.unravel_index(i1, a.shape) + ui2 = np.unravel_index(i2, b.shape) + ea = np.array([2, 6, 7, 8]) + assert_array_equal(ea, a[ui1]) + assert_array_equal(ea, b[ui2]) + + # non1d, not assumed to be uniqueinputs + a = np.array([[2, 4, 5, 6, 6], [4, 7, 8, 7, 2]]) + b = np.array([[3, 2, 7, 7], [10, 12, 8, 7]]) + c, i1, i2 = intersect1d(a, b, return_indices=True) + ui1 = np.unravel_index(i1, a.shape) + ui2 = np.unravel_index(i2, b.shape) + ea = np.array([2, 7, 8]) + assert_array_equal(ea, a[ui1]) + assert_array_equal(ea, b[ui2]) + + def test_setxor1d(self): + a = np.array([5, 7, 1, 2]) + b = np.array([2, 4, 3, 1, 5]) + + ec = np.array([3, 4, 7]) + c = setxor1d(a, b) + assert_array_equal(c, ec) + + a = np.array([1, 2, 3]) + b = np.array([6, 5, 4]) + + ec = np.array([1, 2, 3, 4, 5, 6]) + c = setxor1d(a, b) + assert_array_equal(c, ec) + + a = np.array([1, 8, 2, 3]) + b = np.array([6, 5, 4, 8]) + + ec = np.array([1, 2, 3, 4, 5, 6]) + c = setxor1d(a, b) + assert_array_equal(c, ec) + + assert_array_equal([], setxor1d([], [])) + + def test_ediff1d(self): + zero_elem = np.array([]) + one_elem = np.array([1]) + two_elem = np.array([1, 2]) + + assert_array_equal([], ediff1d(zero_elem)) + assert_array_equal([0], ediff1d(zero_elem, to_begin=0)) + assert_array_equal([0], ediff1d(zero_elem, to_end=0)) + assert_array_equal([-1, 0], ediff1d(zero_elem, to_begin=-1, to_end=0)) + assert_array_equal([], ediff1d(one_elem)) + assert_array_equal([1], ediff1d(two_elem)) + assert_array_equal([7, 1, 9], ediff1d(two_elem, to_begin=7, to_end=9)) + assert_array_equal([5, 6, 1, 7, 8], + ediff1d(two_elem, to_begin=[5, 6], to_end=[7, 8])) + assert_array_equal([1, 9], ediff1d(two_elem, to_end=9)) + assert_array_equal([1, 7, 8], ediff1d(two_elem, to_end=[7, 8])) + assert_array_equal([7, 1], ediff1d(two_elem, to_begin=7)) + assert_array_equal([5, 6, 1], ediff1d(two_elem, to_begin=[5, 6])) + + @pytest.mark.parametrize("ary, prepend, append, expected", [ + # should fail because trying to cast + # np.nan standard floating point value + # into an integer array: + (np.array([1, 2, 3], dtype=np.int64), + None, + np.nan, + 'to_end'), + # should fail because attempting + # to downcast to int type: + (np.array([1, 2, 3], dtype=np.int64), + np.array([5, 7, 2], dtype=np.float32), + None, + 'to_begin'), + # should fail because attempting to cast + # two special floating point values + # to integers (on both sides of ary), + # `to_begin` is in the error message as the impl checks this first: + (np.array([1., 3., 9.], dtype=np.int8), + np.nan, + np.nan, + 'to_begin'), + ]) + def test_ediff1d_forbidden_type_casts(self, ary, prepend, append, expected): + # verify resolution of gh-11490 + + # specifically, raise an appropriate + # Exception when attempting to append or + # prepend with an incompatible type + msg = 'dtype of `{}` must be compatible'.format(expected) + with assert_raises_regex(TypeError, msg): + ediff1d(ary=ary, + to_end=append, + to_begin=prepend) + + @pytest.mark.parametrize( + "ary,prepend,append,expected", + [ + (np.array([1, 2, 3], dtype=np.int16), + 2**16, # will be cast to int16 under same kind rule. + 2**16 + 4, + np.array([0, 1, 1, 4], dtype=np.int16)), + (np.array([1, 2, 3], dtype=np.float32), + np.array([5], dtype=np.float64), + None, + np.array([5, 1, 1], dtype=np.float32)), + (np.array([1, 2, 3], dtype=np.int32), + 0, + 0, + np.array([0, 1, 1, 0], dtype=np.int32)), + (np.array([1, 2, 3], dtype=np.int64), + 3, + -9, + np.array([3, 1, 1, -9], dtype=np.int64)), + ] + ) + def test_ediff1d_scalar_handling(self, + ary, + prepend, + append, + expected): + # maintain backwards-compatibility + # of scalar prepend / append behavior + # in ediff1d following fix for gh-11490 + actual = np.ediff1d(ary=ary, + to_end=append, + to_begin=prepend) + assert_equal(actual, expected) + assert actual.dtype == expected.dtype + + @pytest.mark.parametrize("kind", [None, "sort", "table"]) + def test_isin(self, kind): + # the tests for in1d cover most of isin's behavior + # if in1d is removed, would need to change those tests to test + # isin instead. + def _isin_slow(a, b): + b = np.asarray(b).flatten().tolist() + return a in b + isin_slow = np.vectorize(_isin_slow, otypes=[bool], excluded={1}) + + def assert_isin_equal(a, b): + x = isin(a, b, kind=kind) + y = isin_slow(a, b) + assert_array_equal(x, y) + + # multidimensional arrays in both arguments + a = np.arange(24).reshape([2, 3, 4]) + b = np.array([[10, 20, 30], [0, 1, 3], [11, 22, 33]]) + assert_isin_equal(a, b) + + # array-likes as both arguments + c = [(9, 8), (7, 6)] + d = (9, 7) + assert_isin_equal(c, d) + + # zero-d array: + f = np.array(3) + assert_isin_equal(f, b) + assert_isin_equal(a, f) + assert_isin_equal(f, f) + + # scalar: + assert_isin_equal(5, b) + assert_isin_equal(a, 6) + assert_isin_equal(5, 6) + + # empty array-like: + if kind != "table": + # An empty list will become float64, + # which is invalid for kind="table" + x = [] + assert_isin_equal(x, b) + assert_isin_equal(a, x) + assert_isin_equal(x, x) + + # empty array with various types: + for dtype in [bool, np.int64, np.float64]: + if kind == "table" and dtype == np.float64: + continue + + if dtype in {np.int64, np.float64}: + ar = np.array([10, 20, 30], dtype=dtype) + elif dtype in {bool}: + ar = np.array([True, False, False]) + + empty_array = np.array([], dtype=dtype) + + assert_isin_equal(empty_array, ar) + assert_isin_equal(ar, empty_array) + assert_isin_equal(empty_array, empty_array) + + @pytest.mark.parametrize("kind", [None, "sort", "table"]) + def test_in1d(self, kind): + # we use two different sizes for the b array here to test the + # two different paths in in1d(). + for mult in (1, 10): + # One check without np.array to make sure lists are handled correct + a = [5, 7, 1, 2] + b = [2, 4, 3, 1, 5] * mult + ec = np.array([True, False, True, True]) + c = in1d(a, b, assume_unique=True, kind=kind) + assert_array_equal(c, ec) + + a[0] = 8 + ec = np.array([False, False, True, True]) + c = in1d(a, b, assume_unique=True, kind=kind) + assert_array_equal(c, ec) + + a[0], a[3] = 4, 8 + ec = np.array([True, False, True, False]) + c = in1d(a, b, assume_unique=True, kind=kind) + assert_array_equal(c, ec) + + a = np.array([5, 4, 5, 3, 4, 4, 3, 4, 3, 5, 2, 1, 5, 5]) + b = [2, 3, 4] * mult + ec = [False, True, False, True, True, True, True, True, True, + False, True, False, False, False] + c = in1d(a, b, kind=kind) + assert_array_equal(c, ec) + + b = b + [5, 5, 4] * mult + ec = [True, True, True, True, True, True, True, True, True, True, + True, False, True, True] + c = in1d(a, b, kind=kind) + assert_array_equal(c, ec) + + a = np.array([5, 7, 1, 2]) + b = np.array([2, 4, 3, 1, 5] * mult) + ec = np.array([True, False, True, True]) + c = in1d(a, b, kind=kind) + assert_array_equal(c, ec) + + a = np.array([5, 7, 1, 1, 2]) + b = np.array([2, 4, 3, 3, 1, 5] * mult) + ec = np.array([True, False, True, True, True]) + c = in1d(a, b, kind=kind) + assert_array_equal(c, ec) + + a = np.array([5, 5]) + b = np.array([2, 2] * mult) + ec = np.array([False, False]) + c = in1d(a, b, kind=kind) + assert_array_equal(c, ec) + + a = np.array([5]) + b = np.array([2]) + ec = np.array([False]) + c = in1d(a, b, kind=kind) + assert_array_equal(c, ec) + + if kind in {None, "sort"}: + assert_array_equal(in1d([], [], kind=kind), []) + + def test_in1d_char_array(self): + a = np.array(['a', 'b', 'c', 'd', 'e', 'c', 'e', 'b']) + b = np.array(['a', 'c']) + + ec = np.array([True, False, True, False, False, True, False, False]) + c = in1d(a, b) + + assert_array_equal(c, ec) + + @pytest.mark.parametrize("kind", [None, "sort", "table"]) + def test_in1d_invert(self, kind): + "Test in1d's invert parameter" + # We use two different sizes for the b array here to test the + # two different paths in in1d(). + for mult in (1, 10): + a = np.array([5, 4, 5, 3, 4, 4, 3, 4, 3, 5, 2, 1, 5, 5]) + b = [2, 3, 4] * mult + assert_array_equal(np.invert(in1d(a, b, kind=kind)), + in1d(a, b, invert=True, kind=kind)) + + # float: + if kind in {None, "sort"}: + for mult in (1, 10): + a = np.array([5, 4, 5, 3, 4, 4, 3, 4, 3, 5, 2, 1, 5, 5], + dtype=np.float32) + b = [2, 3, 4] * mult + b = np.array(b, dtype=np.float32) + assert_array_equal(np.invert(in1d(a, b, kind=kind)), + in1d(a, b, invert=True, kind=kind)) + + @pytest.mark.parametrize("kind", [None, "sort", "table"]) + def test_in1d_ravel(self, kind): + # Test that in1d ravels its input arrays. This is not documented + # behavior however. The test is to ensure consistentency. + a = np.arange(6).reshape(2, 3) + b = np.arange(3, 9).reshape(3, 2) + long_b = np.arange(3, 63).reshape(30, 2) + ec = np.array([False, False, False, True, True, True]) + + assert_array_equal(in1d(a, b, assume_unique=True, kind=kind), + ec) + assert_array_equal(in1d(a, b, assume_unique=False, + kind=kind), + ec) + assert_array_equal(in1d(a, long_b, assume_unique=True, + kind=kind), + ec) + assert_array_equal(in1d(a, long_b, assume_unique=False, + kind=kind), + ec) + + def test_in1d_hit_alternate_algorithm(self): + """Hit the standard isin code with integers""" + # Need extreme range to hit standard code + # This hits it without the use of kind='table' + a = np.array([5, 4, 5, 3, 4, 4, 1e9], dtype=np.int64) + b = np.array([2, 3, 4, 1e9], dtype=np.int64) + expected = np.array([0, 1, 0, 1, 1, 1, 1], dtype=bool) + assert_array_equal(expected, in1d(a, b)) + assert_array_equal(np.invert(expected), in1d(a, b, invert=True)) + + a = np.array([5, 7, 1, 2], dtype=np.int64) + b = np.array([2, 4, 3, 1, 5, 1e9], dtype=np.int64) + ec = np.array([True, False, True, True]) + c = in1d(a, b, assume_unique=True) + assert_array_equal(c, ec) + + @pytest.mark.parametrize("kind", [None, "sort", "table"]) + def test_in1d_boolean(self, kind): + """Test that in1d works for boolean input""" + a = np.array([True, False]) + b = np.array([False, False, False]) + expected = np.array([False, True]) + assert_array_equal(expected, + in1d(a, b, kind=kind)) + assert_array_equal(np.invert(expected), + in1d(a, b, invert=True, kind=kind)) + + @pytest.mark.parametrize("kind", [None, "sort"]) + def test_in1d_timedelta(self, kind): + """Test that in1d works for timedelta input""" + rstate = np.random.RandomState(0) + a = rstate.randint(0, 100, size=10) + b = rstate.randint(0, 100, size=10) + truth = in1d(a, b) + a_timedelta = a.astype("timedelta64[s]") + b_timedelta = b.astype("timedelta64[s]") + assert_array_equal(truth, in1d(a_timedelta, b_timedelta, kind=kind)) + + def test_in1d_table_timedelta_fails(self): + a = np.array([0, 1, 2], dtype="timedelta64[s]") + b = a + # Make sure it raises a value error: + with pytest.raises(ValueError): + in1d(a, b, kind="table") + + @pytest.mark.parametrize( + "dtype1,dtype2", + [ + (np.int8, np.int16), + (np.int16, np.int8), + (np.uint8, np.uint16), + (np.uint16, np.uint8), + (np.uint8, np.int16), + (np.int16, np.uint8), + ] + ) + @pytest.mark.parametrize("kind", [None, "sort", "table"]) + def test_in1d_mixed_dtype(self, dtype1, dtype2, kind): + """Test that in1d works as expected for mixed dtype input.""" + is_dtype2_signed = np.issubdtype(dtype2, np.signedinteger) + ar1 = np.array([0, 0, 1, 1], dtype=dtype1) + + if is_dtype2_signed: + ar2 = np.array([-128, 0, 127], dtype=dtype2) + else: + ar2 = np.array([127, 0, 255], dtype=dtype2) + + expected = np.array([True, True, False, False]) + + expect_failure = kind == "table" and any(( + dtype1 == np.int8 and dtype2 == np.int16, + dtype1 == np.int16 and dtype2 == np.int8 + )) + + if expect_failure: + with pytest.raises(RuntimeError, match="exceed the maximum"): + in1d(ar1, ar2, kind=kind) + else: + assert_array_equal(in1d(ar1, ar2, kind=kind), expected) + + @pytest.mark.parametrize("kind", [None, "sort", "table"]) + def test_in1d_mixed_boolean(self, kind): + """Test that in1d works as expected for bool/int input.""" + for dtype in np.typecodes["AllInteger"]: + a = np.array([True, False, False], dtype=bool) + b = np.array([0, 0, 0, 0], dtype=dtype) + expected = np.array([False, True, True], dtype=bool) + assert_array_equal(in1d(a, b, kind=kind), expected) + + a, b = b, a + expected = np.array([True, True, True, True], dtype=bool) + assert_array_equal(in1d(a, b, kind=kind), expected) + + def test_in1d_first_array_is_object(self): + ar1 = [None] + ar2 = np.array([1]*10) + expected = np.array([False]) + result = np.in1d(ar1, ar2) + assert_array_equal(result, expected) + + def test_in1d_second_array_is_object(self): + ar1 = 1 + ar2 = np.array([None]*10) + expected = np.array([False]) + result = np.in1d(ar1, ar2) + assert_array_equal(result, expected) + + def test_in1d_both_arrays_are_object(self): + ar1 = [None] + ar2 = np.array([None]*10) + expected = np.array([True]) + result = np.in1d(ar1, ar2) + assert_array_equal(result, expected) + + def test_in1d_both_arrays_have_structured_dtype(self): + # Test arrays of a structured data type containing an integer field + # and a field of dtype `object` allowing for arbitrary Python objects + dt = np.dtype([('field1', int), ('field2', object)]) + ar1 = np.array([(1, None)], dtype=dt) + ar2 = np.array([(1, None)]*10, dtype=dt) + expected = np.array([True]) + result = np.in1d(ar1, ar2) + assert_array_equal(result, expected) + + def test_in1d_with_arrays_containing_tuples(self): + ar1 = np.array([(1,), 2], dtype=object) + ar2 = np.array([(1,), 2], dtype=object) + expected = np.array([True, True]) + result = np.in1d(ar1, ar2) + assert_array_equal(result, expected) + result = np.in1d(ar1, ar2, invert=True) + assert_array_equal(result, np.invert(expected)) + + # An integer is added at the end of the array to make sure + # that the array builder will create the array with tuples + # and after it's created the integer is removed. + # There's a bug in the array constructor that doesn't handle + # tuples properly and adding the integer fixes that. + ar1 = np.array([(1,), (2, 1), 1], dtype=object) + ar1 = ar1[:-1] + ar2 = np.array([(1,), (2, 1), 1], dtype=object) + ar2 = ar2[:-1] + expected = np.array([True, True]) + result = np.in1d(ar1, ar2) + assert_array_equal(result, expected) + result = np.in1d(ar1, ar2, invert=True) + assert_array_equal(result, np.invert(expected)) + + ar1 = np.array([(1,), (2, 3), 1], dtype=object) + ar1 = ar1[:-1] + ar2 = np.array([(1,), 2], dtype=object) + expected = np.array([True, False]) + result = np.in1d(ar1, ar2) + assert_array_equal(result, expected) + result = np.in1d(ar1, ar2, invert=True) + assert_array_equal(result, np.invert(expected)) + + def test_in1d_errors(self): + """Test that in1d raises expected errors.""" + + # Error 1: `kind` is not one of 'sort' 'table' or None. + ar1 = np.array([1, 2, 3, 4, 5]) + ar2 = np.array([2, 4, 6, 8, 10]) + assert_raises(ValueError, in1d, ar1, ar2, kind='quicksort') + + # Error 2: `kind="table"` does not work for non-integral arrays. + obj_ar1 = np.array([1, 'a', 3, 'b', 5], dtype=object) + obj_ar2 = np.array([1, 'a', 3, 'b', 5], dtype=object) + assert_raises(ValueError, in1d, obj_ar1, obj_ar2, kind='table') + + for dtype in [np.int32, np.int64]: + ar1 = np.array([-1, 2, 3, 4, 5], dtype=dtype) + # The range of this array will overflow: + overflow_ar2 = np.array([-1, np.iinfo(dtype).max], dtype=dtype) + + # Error 3: `kind="table"` will trigger a runtime error + # if there is an integer overflow expected when computing the + # range of ar2 + assert_raises( + RuntimeError, + in1d, ar1, overflow_ar2, kind='table' + ) + + # Non-error: `kind=None` will *not* trigger a runtime error + # if there is an integer overflow, it will switch to + # the `sort` algorithm. + result = np.in1d(ar1, overflow_ar2, kind=None) + assert_array_equal(result, [True] + [False] * 4) + result = np.in1d(ar1, overflow_ar2, kind='sort') + assert_array_equal(result, [True] + [False] * 4) + + def test_union1d(self): + a = np.array([5, 4, 7, 1, 2]) + b = np.array([2, 4, 3, 3, 2, 1, 5]) + + ec = np.array([1, 2, 3, 4, 5, 7]) + c = union1d(a, b) + assert_array_equal(c, ec) + + # Tests gh-10340, arguments to union1d should be + # flattened if they are not already 1D + x = np.array([[0, 1, 2], [3, 4, 5]]) + y = np.array([0, 1, 2, 3, 4]) + ez = np.array([0, 1, 2, 3, 4, 5]) + z = union1d(x, y) + assert_array_equal(z, ez) + + assert_array_equal([], union1d([], [])) + + def test_setdiff1d(self): + a = np.array([6, 5, 4, 7, 1, 2, 7, 4]) + b = np.array([2, 4, 3, 3, 2, 1, 5]) + + ec = np.array([6, 7]) + c = setdiff1d(a, b) + assert_array_equal(c, ec) + + a = np.arange(21) + b = np.arange(19) + ec = np.array([19, 20]) + c = setdiff1d(a, b) + assert_array_equal(c, ec) + + assert_array_equal([], setdiff1d([], [])) + a = np.array((), np.uint32) + assert_equal(setdiff1d(a, []).dtype, np.uint32) + + def test_setdiff1d_unique(self): + a = np.array([3, 2, 1]) + b = np.array([7, 5, 2]) + expected = np.array([3, 1]) + actual = setdiff1d(a, b, assume_unique=True) + assert_equal(actual, expected) + + def test_setdiff1d_char_array(self): + a = np.array(['a', 'b', 'c']) + b = np.array(['a', 'b', 's']) + assert_array_equal(setdiff1d(a, b), np.array(['c'])) + + def test_manyways(self): + a = np.array([5, 7, 1, 2, 8]) + b = np.array([9, 8, 2, 4, 3, 1, 5]) + + c1 = setxor1d(a, b) + aux1 = intersect1d(a, b) + aux2 = union1d(a, b) + c2 = setdiff1d(aux2, aux1) + assert_array_equal(c1, c2) + + +class TestUnique: + + def test_unique_1d(self): + + def check_all(a, b, i1, i2, c, dt): + base_msg = 'check {0} failed for type {1}' + + msg = base_msg.format('values', dt) + v = unique(a) + assert_array_equal(v, b, msg) + + msg = base_msg.format('return_index', dt) + v, j = unique(a, True, False, False) + assert_array_equal(v, b, msg) + assert_array_equal(j, i1, msg) + + msg = base_msg.format('return_inverse', dt) + v, j = unique(a, False, True, False) + assert_array_equal(v, b, msg) + assert_array_equal(j, i2, msg) + + msg = base_msg.format('return_counts', dt) + v, j = unique(a, False, False, True) + assert_array_equal(v, b, msg) + assert_array_equal(j, c, msg) + + msg = base_msg.format('return_index and return_inverse', dt) + v, j1, j2 = unique(a, True, True, False) + assert_array_equal(v, b, msg) + assert_array_equal(j1, i1, msg) + assert_array_equal(j2, i2, msg) + + msg = base_msg.format('return_index and return_counts', dt) + v, j1, j2 = unique(a, True, False, True) + assert_array_equal(v, b, msg) + assert_array_equal(j1, i1, msg) + assert_array_equal(j2, c, msg) + + msg = base_msg.format('return_inverse and return_counts', dt) + v, j1, j2 = unique(a, False, True, True) + assert_array_equal(v, b, msg) + assert_array_equal(j1, i2, msg) + assert_array_equal(j2, c, msg) + + msg = base_msg.format(('return_index, return_inverse ' + 'and return_counts'), dt) + v, j1, j2, j3 = unique(a, True, True, True) + assert_array_equal(v, b, msg) + assert_array_equal(j1, i1, msg) + assert_array_equal(j2, i2, msg) + assert_array_equal(j3, c, msg) + + a = [5, 7, 1, 2, 1, 5, 7]*10 + b = [1, 2, 5, 7] + i1 = [2, 3, 0, 1] + i2 = [2, 3, 0, 1, 0, 2, 3]*10 + c = np.multiply([2, 1, 2, 2], 10) + + # test for numeric arrays + types = [] + types.extend(np.typecodes['AllInteger']) + types.extend(np.typecodes['AllFloat']) + types.append('datetime64[D]') + types.append('timedelta64[D]') + for dt in types: + aa = np.array(a, dt) + bb = np.array(b, dt) + check_all(aa, bb, i1, i2, c, dt) + + # test for object arrays + dt = 'O' + aa = np.empty(len(a), dt) + aa[:] = a + bb = np.empty(len(b), dt) + bb[:] = b + check_all(aa, bb, i1, i2, c, dt) + + # test for structured arrays + dt = [('', 'i'), ('', 'i')] + aa = np.array(list(zip(a, a)), dt) + bb = np.array(list(zip(b, b)), dt) + check_all(aa, bb, i1, i2, c, dt) + + # test for ticket #2799 + aa = [1. + 0.j, 1 - 1.j, 1] + assert_array_equal(np.unique(aa), [1. - 1.j, 1. + 0.j]) + + # test for ticket #4785 + a = [(1, 2), (1, 2), (2, 3)] + unq = [1, 2, 3] + inv = [0, 1, 0, 1, 1, 2] + a1 = unique(a) + assert_array_equal(a1, unq) + a2, a2_inv = unique(a, return_inverse=True) + assert_array_equal(a2, unq) + assert_array_equal(a2_inv, inv) + + # test for chararrays with return_inverse (gh-5099) + a = np.chararray(5) + a[...] = '' + a2, a2_inv = np.unique(a, return_inverse=True) + assert_array_equal(a2_inv, np.zeros(5)) + + # test for ticket #9137 + a = [] + a1_idx = np.unique(a, return_index=True)[1] + a2_inv = np.unique(a, return_inverse=True)[1] + a3_idx, a3_inv = np.unique(a, return_index=True, + return_inverse=True)[1:] + assert_equal(a1_idx.dtype, np.intp) + assert_equal(a2_inv.dtype, np.intp) + assert_equal(a3_idx.dtype, np.intp) + assert_equal(a3_inv.dtype, np.intp) + + # test for ticket 2111 - float + a = [2.0, np.nan, 1.0, np.nan] + ua = [1.0, 2.0, np.nan] + ua_idx = [2, 0, 1] + ua_inv = [1, 2, 0, 2] + ua_cnt = [1, 1, 2] + assert_equal(np.unique(a), ua) + assert_equal(np.unique(a, return_index=True), (ua, ua_idx)) + assert_equal(np.unique(a, return_inverse=True), (ua, ua_inv)) + assert_equal(np.unique(a, return_counts=True), (ua, ua_cnt)) + + # test for ticket 2111 - complex + a = [2.0-1j, np.nan, 1.0+1j, complex(0.0, np.nan), complex(1.0, np.nan)] + ua = [1.0+1j, 2.0-1j, complex(0.0, np.nan)] + ua_idx = [2, 0, 3] + ua_inv = [1, 2, 0, 2, 2] + ua_cnt = [1, 1, 3] + assert_equal(np.unique(a), ua) + assert_equal(np.unique(a, return_index=True), (ua, ua_idx)) + assert_equal(np.unique(a, return_inverse=True), (ua, ua_inv)) + assert_equal(np.unique(a, return_counts=True), (ua, ua_cnt)) + + # test for ticket 2111 - datetime64 + nat = np.datetime64('nat') + a = [np.datetime64('2020-12-26'), nat, np.datetime64('2020-12-24'), nat] + ua = [np.datetime64('2020-12-24'), np.datetime64('2020-12-26'), nat] + ua_idx = [2, 0, 1] + ua_inv = [1, 2, 0, 2] + ua_cnt = [1, 1, 2] + assert_equal(np.unique(a), ua) + assert_equal(np.unique(a, return_index=True), (ua, ua_idx)) + assert_equal(np.unique(a, return_inverse=True), (ua, ua_inv)) + assert_equal(np.unique(a, return_counts=True), (ua, ua_cnt)) + + # test for ticket 2111 - timedelta + nat = np.timedelta64('nat') + a = [np.timedelta64(1, 'D'), nat, np.timedelta64(1, 'h'), nat] + ua = [np.timedelta64(1, 'h'), np.timedelta64(1, 'D'), nat] + ua_idx = [2, 0, 1] + ua_inv = [1, 2, 0, 2] + ua_cnt = [1, 1, 2] + assert_equal(np.unique(a), ua) + assert_equal(np.unique(a, return_index=True), (ua, ua_idx)) + assert_equal(np.unique(a, return_inverse=True), (ua, ua_inv)) + assert_equal(np.unique(a, return_counts=True), (ua, ua_cnt)) + + # test for gh-19300 + all_nans = [np.nan] * 4 + ua = [np.nan] + ua_idx = [0] + ua_inv = [0, 0, 0, 0] + ua_cnt = [4] + assert_equal(np.unique(all_nans), ua) + assert_equal(np.unique(all_nans, return_index=True), (ua, ua_idx)) + assert_equal(np.unique(all_nans, return_inverse=True), (ua, ua_inv)) + assert_equal(np.unique(all_nans, return_counts=True), (ua, ua_cnt)) + + def test_unique_axis_errors(self): + assert_raises(TypeError, self._run_axis_tests, object) + assert_raises(TypeError, self._run_axis_tests, + [('a', int), ('b', object)]) + + assert_raises(np.AxisError, unique, np.arange(10), axis=2) + assert_raises(np.AxisError, unique, np.arange(10), axis=-2) + + def test_unique_axis_list(self): + msg = "Unique failed on list of lists" + inp = [[0, 1, 0], [0, 1, 0]] + inp_arr = np.asarray(inp) + assert_array_equal(unique(inp, axis=0), unique(inp_arr, axis=0), msg) + assert_array_equal(unique(inp, axis=1), unique(inp_arr, axis=1), msg) + + def test_unique_axis(self): + types = [] + types.extend(np.typecodes['AllInteger']) + types.extend(np.typecodes['AllFloat']) + types.append('datetime64[D]') + types.append('timedelta64[D]') + types.append([('a', int), ('b', int)]) + types.append([('a', int), ('b', float)]) + + for dtype in types: + self._run_axis_tests(dtype) + + msg = 'Non-bitwise-equal booleans test failed' + data = np.arange(10, dtype=np.uint8).reshape(-1, 2).view(bool) + result = np.array([[False, True], [True, True]], dtype=bool) + assert_array_equal(unique(data, axis=0), result, msg) + + msg = 'Negative zero equality test failed' + data = np.array([[-0.0, 0.0], [0.0, -0.0], [-0.0, 0.0], [0.0, -0.0]]) + result = np.array([[-0.0, 0.0]]) + assert_array_equal(unique(data, axis=0), result, msg) + + @pytest.mark.parametrize("axis", [0, -1]) + def test_unique_1d_with_axis(self, axis): + x = np.array([4, 3, 2, 3, 2, 1, 2, 2]) + uniq = unique(x, axis=axis) + assert_array_equal(uniq, [1, 2, 3, 4]) + + def test_unique_axis_zeros(self): + # issue 15559 + single_zero = np.empty(shape=(2, 0), dtype=np.int8) + uniq, idx, inv, cnt = unique(single_zero, axis=0, return_index=True, + return_inverse=True, return_counts=True) + + # there's 1 element of shape (0,) along axis 0 + assert_equal(uniq.dtype, single_zero.dtype) + assert_array_equal(uniq, np.empty(shape=(1, 0))) + assert_array_equal(idx, np.array([0])) + assert_array_equal(inv, np.array([0, 0])) + assert_array_equal(cnt, np.array([2])) + + # there's 0 elements of shape (2,) along axis 1 + uniq, idx, inv, cnt = unique(single_zero, axis=1, return_index=True, + return_inverse=True, return_counts=True) + + assert_equal(uniq.dtype, single_zero.dtype) + assert_array_equal(uniq, np.empty(shape=(2, 0))) + assert_array_equal(idx, np.array([])) + assert_array_equal(inv, np.array([])) + assert_array_equal(cnt, np.array([])) + + # test a "complicated" shape + shape = (0, 2, 0, 3, 0, 4, 0) + multiple_zeros = np.empty(shape=shape) + for axis in range(len(shape)): + expected_shape = list(shape) + if shape[axis] == 0: + expected_shape[axis] = 0 + else: + expected_shape[axis] = 1 + + assert_array_equal(unique(multiple_zeros, axis=axis), + np.empty(shape=expected_shape)) + + def test_unique_masked(self): + # issue 8664 + x = np.array([64, 0, 1, 2, 3, 63, 63, 0, 0, 0, 1, 2, 0, 63, 0], + dtype='uint8') + y = np.ma.masked_equal(x, 0) + + v = np.unique(y) + v2, i, c = np.unique(y, return_index=True, return_counts=True) + + msg = 'Unique returned different results when asked for index' + assert_array_equal(v.data, v2.data, msg) + assert_array_equal(v.mask, v2.mask, msg) + + def test_unique_sort_order_with_axis(self): + # These tests fail if sorting along axis is done by treating subarrays + # as unsigned byte strings. See gh-10495. + fmt = "sort order incorrect for integer type '%s'" + for dt in 'bhilq': + a = np.array([[-1], [0]], dt) + b = np.unique(a, axis=0) + assert_array_equal(a, b, fmt % dt) + + def _run_axis_tests(self, dtype): + data = np.array([[0, 1, 0, 0], + [1, 0, 0, 0], + [0, 1, 0, 0], + [1, 0, 0, 0]]).astype(dtype) + + msg = 'Unique with 1d array and axis=0 failed' + result = np.array([0, 1]) + assert_array_equal(unique(data), result.astype(dtype), msg) + + msg = 'Unique with 2d array and axis=0 failed' + result = np.array([[0, 1, 0, 0], [1, 0, 0, 0]]) + assert_array_equal(unique(data, axis=0), result.astype(dtype), msg) + + msg = 'Unique with 2d array and axis=1 failed' + result = np.array([[0, 0, 1], [0, 1, 0], [0, 0, 1], [0, 1, 0]]) + assert_array_equal(unique(data, axis=1), result.astype(dtype), msg) + + msg = 'Unique with 3d array and axis=2 failed' + data3d = np.array([[[1, 1], + [1, 0]], + [[0, 1], + [0, 0]]]).astype(dtype) + result = np.take(data3d, [1, 0], axis=2) + assert_array_equal(unique(data3d, axis=2), result, msg) + + uniq, idx, inv, cnt = unique(data, axis=0, return_index=True, + return_inverse=True, return_counts=True) + msg = "Unique's return_index=True failed with axis=0" + assert_array_equal(data[idx], uniq, msg) + msg = "Unique's return_inverse=True failed with axis=0" + assert_array_equal(uniq[inv], data) + msg = "Unique's return_counts=True failed with axis=0" + assert_array_equal(cnt, np.array([2, 2]), msg) + + uniq, idx, inv, cnt = unique(data, axis=1, return_index=True, + return_inverse=True, return_counts=True) + msg = "Unique's return_index=True failed with axis=1" + assert_array_equal(data[:, idx], uniq) + msg = "Unique's return_inverse=True failed with axis=1" + assert_array_equal(uniq[:, inv], data) + msg = "Unique's return_counts=True failed with axis=1" + assert_array_equal(cnt, np.array([2, 1, 1]), msg) + + def test_unique_nanequals(self): + # issue 20326 + a = np.array([1, 1, np.nan, np.nan, np.nan]) + unq = np.unique(a) + not_unq = np.unique(a, equal_nan=False) + assert_array_equal(unq, np.array([1, np.nan])) + assert_array_equal(not_unq, np.array([1, np.nan, np.nan, np.nan])) diff --git a/lib/python3.12/site-packages/numpy/lib/tests/test_arrayterator.py b/lib/python3.12/site-packages/numpy/lib/tests/test_arrayterator.py new file mode 100644 index 0000000000000000000000000000000000000000..c00ed13d7f3076d53ec080a46fe7e13ff7dfb5a2 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/tests/test_arrayterator.py @@ -0,0 +1,46 @@ +from operator import mul +from functools import reduce + +import numpy as np +from numpy.random import randint +from numpy.lib import Arrayterator +from numpy.testing import assert_ + + +def test(): + np.random.seed(np.arange(10)) + + # Create a random array + ndims = randint(5)+1 + shape = tuple(randint(10)+1 for dim in range(ndims)) + els = reduce(mul, shape) + a = np.arange(els) + a.shape = shape + + buf_size = randint(2*els) + b = Arrayterator(a, buf_size) + + # Check that each block has at most ``buf_size`` elements + for block in b: + assert_(len(block.flat) <= (buf_size or els)) + + # Check that all elements are iterated correctly + assert_(list(b.flat) == list(a.flat)) + + # Slice arrayterator + start = [randint(dim) for dim in shape] + stop = [randint(dim)+1 for dim in shape] + step = [randint(dim)+1 for dim in shape] + slice_ = tuple(slice(*t) for t in zip(start, stop, step)) + c = b[slice_] + d = a[slice_] + + # Check that each block has at most ``buf_size`` elements + for block in c: + assert_(len(block.flat) <= (buf_size or els)) + + # Check that the arrayterator is sliced correctly + assert_(np.all(c.__array__() == d)) + + # Check that all elements are iterated correctly + assert_(list(c.flat) == list(d.flat)) diff --git a/lib/python3.12/site-packages/numpy/lib/tests/test_financial_expired.py b/lib/python3.12/site-packages/numpy/lib/tests/test_financial_expired.py new file mode 100644 index 0000000000000000000000000000000000000000..838f999a61e6d8345c8bf348dbafa5619ec420e0 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/tests/test_financial_expired.py @@ -0,0 +1,11 @@ +import sys +import pytest +import numpy as np + + +def test_financial_expired(): + match = 'NEP 32' + with pytest.warns(DeprecationWarning, match=match): + func = np.fv + with pytest.raises(RuntimeError, match=match): + func(1, 2, 3) diff --git a/lib/python3.12/site-packages/numpy/lib/tests/test_format.py b/lib/python3.12/site-packages/numpy/lib/tests/test_format.py new file mode 100644 index 0000000000000000000000000000000000000000..3bbbb215bb77e838ddde787349f06b60438b70d4 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/tests/test_format.py @@ -0,0 +1,1028 @@ +# doctest +r''' Test the .npy file format. + +Set up: + + >>> import sys + >>> from io import BytesIO + >>> from numpy.lib import format + >>> + >>> scalars = [ + ... np.uint8, + ... np.int8, + ... np.uint16, + ... np.int16, + ... np.uint32, + ... np.int32, + ... np.uint64, + ... np.int64, + ... np.float32, + ... np.float64, + ... np.complex64, + ... np.complex128, + ... object, + ... ] + >>> + >>> basic_arrays = [] + >>> + >>> for scalar in scalars: + ... for endian in '<>': + ... dtype = np.dtype(scalar).newbyteorder(endian) + ... basic = np.arange(15).astype(dtype) + ... basic_arrays.extend([ + ... np.array([], dtype=dtype), + ... np.array(10, dtype=dtype), + ... basic, + ... basic.reshape((3,5)), + ... basic.reshape((3,5)).T, + ... basic.reshape((3,5))[::-1,::2], + ... ]) + ... + >>> + >>> Pdescr = [ + ... ('x', 'i4', (2,)), + ... ('y', 'f8', (2, 2)), + ... ('z', 'u1')] + >>> + >>> + >>> PbufferT = [ + ... ([3,2], [[6.,4.],[6.,4.]], 8), + ... ([4,3], [[7.,5.],[7.,5.]], 9), + ... ] + >>> + >>> + >>> Ndescr = [ + ... ('x', 'i4', (2,)), + ... ('Info', [ + ... ('value', 'c16'), + ... ('y2', 'f8'), + ... ('Info2', [ + ... ('name', 'S2'), + ... ('value', 'c16', (2,)), + ... ('y3', 'f8', (2,)), + ... ('z3', 'u4', (2,))]), + ... ('name', 'S2'), + ... ('z2', 'b1')]), + ... ('color', 'S2'), + ... ('info', [ + ... ('Name', 'U8'), + ... ('Value', 'c16')]), + ... ('y', 'f8', (2, 2)), + ... ('z', 'u1')] + >>> + >>> + >>> NbufferT = [ + ... ([3,2], (6j, 6., ('nn', [6j,4j], [6.,4.], [1,2]), 'NN', True), 'cc', ('NN', 6j), [[6.,4.],[6.,4.]], 8), + ... ([4,3], (7j, 7., ('oo', [7j,5j], [7.,5.], [2,1]), 'OO', False), 'dd', ('OO', 7j), [[7.,5.],[7.,5.]], 9), + ... ] + >>> + >>> + >>> record_arrays = [ + ... np.array(PbufferT, dtype=np.dtype(Pdescr).newbyteorder('<')), + ... np.array(NbufferT, dtype=np.dtype(Ndescr).newbyteorder('<')), + ... np.array(PbufferT, dtype=np.dtype(Pdescr).newbyteorder('>')), + ... np.array(NbufferT, dtype=np.dtype(Ndescr).newbyteorder('>')), + ... ] + +Test the magic string writing. + + >>> format.magic(1, 0) + '\x93NUMPY\x01\x00' + >>> format.magic(0, 0) + '\x93NUMPY\x00\x00' + >>> format.magic(255, 255) + '\x93NUMPY\xff\xff' + >>> format.magic(2, 5) + '\x93NUMPY\x02\x05' + +Test the magic string reading. + + >>> format.read_magic(BytesIO(format.magic(1, 0))) + (1, 0) + >>> format.read_magic(BytesIO(format.magic(0, 0))) + (0, 0) + >>> format.read_magic(BytesIO(format.magic(255, 255))) + (255, 255) + >>> format.read_magic(BytesIO(format.magic(2, 5))) + (2, 5) + +Test the header writing. + + >>> for arr in basic_arrays + record_arrays: + ... f = BytesIO() + ... format.write_array_header_1_0(f, arr) # XXX: arr is not a dict, items gets called on it + ... print(repr(f.getvalue())) + ... + "F\x00{'descr': '|u1', 'fortran_order': False, 'shape': (0,)} \n" + "F\x00{'descr': '|u1', 'fortran_order': False, 'shape': ()} \n" + "F\x00{'descr': '|u1', 'fortran_order': False, 'shape': (15,)} \n" + "F\x00{'descr': '|u1', 'fortran_order': False, 'shape': (3, 5)} \n" + "F\x00{'descr': '|u1', 'fortran_order': True, 'shape': (5, 3)} \n" + "F\x00{'descr': '|u1', 'fortran_order': False, 'shape': (3, 3)} \n" + "F\x00{'descr': '|u1', 'fortran_order': False, 'shape': (0,)} \n" + "F\x00{'descr': '|u1', 'fortran_order': False, 'shape': ()} \n" + "F\x00{'descr': '|u1', 'fortran_order': False, 'shape': (15,)} \n" + "F\x00{'descr': '|u1', 'fortran_order': False, 'shape': (3, 5)} \n" + "F\x00{'descr': '|u1', 'fortran_order': True, 'shape': (5, 3)} \n" + "F\x00{'descr': '|u1', 'fortran_order': False, 'shape': (3, 3)} \n" + "F\x00{'descr': '|i1', 'fortran_order': False, 'shape': (0,)} \n" + "F\x00{'descr': '|i1', 'fortran_order': False, 'shape': ()} \n" + "F\x00{'descr': '|i1', 'fortran_order': False, 'shape': (15,)} \n" + "F\x00{'descr': '|i1', 'fortran_order': False, 'shape': (3, 5)} \n" + "F\x00{'descr': '|i1', 'fortran_order': True, 'shape': (5, 3)} \n" + "F\x00{'descr': '|i1', 'fortran_order': False, 'shape': (3, 3)} \n" + "F\x00{'descr': '|i1', 'fortran_order': False, 'shape': (0,)} \n" + "F\x00{'descr': '|i1', 'fortran_order': False, 'shape': ()} \n" + "F\x00{'descr': '|i1', 'fortran_order': False, 'shape': (15,)} \n" + "F\x00{'descr': '|i1', 'fortran_order': False, 'shape': (3, 5)} \n" + "F\x00{'descr': '|i1', 'fortran_order': True, 'shape': (5, 3)} \n" + "F\x00{'descr': '|i1', 'fortran_order': False, 'shape': (3, 3)} \n" + "F\x00{'descr': 'u2', 'fortran_order': False, 'shape': (0,)} \n" + "F\x00{'descr': '>u2', 'fortran_order': False, 'shape': ()} \n" + "F\x00{'descr': '>u2', 'fortran_order': False, 'shape': (15,)} \n" + "F\x00{'descr': '>u2', 'fortran_order': False, 'shape': (3, 5)} \n" + "F\x00{'descr': '>u2', 'fortran_order': True, 'shape': (5, 3)} \n" + "F\x00{'descr': '>u2', 'fortran_order': False, 'shape': (3, 3)} \n" + "F\x00{'descr': 'i2', 'fortran_order': False, 'shape': (0,)} \n" + "F\x00{'descr': '>i2', 'fortran_order': False, 'shape': ()} \n" + "F\x00{'descr': '>i2', 'fortran_order': False, 'shape': (15,)} \n" + "F\x00{'descr': '>i2', 'fortran_order': False, 'shape': (3, 5)} \n" + "F\x00{'descr': '>i2', 'fortran_order': True, 'shape': (5, 3)} \n" + "F\x00{'descr': '>i2', 'fortran_order': False, 'shape': (3, 3)} \n" + "F\x00{'descr': 'u4', 'fortran_order': False, 'shape': (0,)} \n" + "F\x00{'descr': '>u4', 'fortran_order': False, 'shape': ()} \n" + "F\x00{'descr': '>u4', 'fortran_order': False, 'shape': (15,)} \n" + "F\x00{'descr': '>u4', 'fortran_order': False, 'shape': (3, 5)} \n" + "F\x00{'descr': '>u4', 'fortran_order': True, 'shape': (5, 3)} \n" + "F\x00{'descr': '>u4', 'fortran_order': False, 'shape': (3, 3)} \n" + "F\x00{'descr': 'i4', 'fortran_order': False, 'shape': (0,)} \n" + "F\x00{'descr': '>i4', 'fortran_order': False, 'shape': ()} \n" + "F\x00{'descr': '>i4', 'fortran_order': False, 'shape': (15,)} \n" + "F\x00{'descr': '>i4', 'fortran_order': False, 'shape': (3, 5)} \n" + "F\x00{'descr': '>i4', 'fortran_order': True, 'shape': (5, 3)} \n" + "F\x00{'descr': '>i4', 'fortran_order': False, 'shape': (3, 3)} \n" + "F\x00{'descr': 'u8', 'fortran_order': False, 'shape': (0,)} \n" + "F\x00{'descr': '>u8', 'fortran_order': False, 'shape': ()} \n" + "F\x00{'descr': '>u8', 'fortran_order': False, 'shape': (15,)} \n" + "F\x00{'descr': '>u8', 'fortran_order': False, 'shape': (3, 5)} \n" + "F\x00{'descr': '>u8', 'fortran_order': True, 'shape': (5, 3)} \n" + "F\x00{'descr': '>u8', 'fortran_order': False, 'shape': (3, 3)} \n" + "F\x00{'descr': 'i8', 'fortran_order': False, 'shape': (0,)} \n" + "F\x00{'descr': '>i8', 'fortran_order': False, 'shape': ()} \n" + "F\x00{'descr': '>i8', 'fortran_order': False, 'shape': (15,)} \n" + "F\x00{'descr': '>i8', 'fortran_order': False, 'shape': (3, 5)} \n" + "F\x00{'descr': '>i8', 'fortran_order': True, 'shape': (5, 3)} \n" + "F\x00{'descr': '>i8', 'fortran_order': False, 'shape': (3, 3)} \n" + "F\x00{'descr': 'f4', 'fortran_order': False, 'shape': (0,)} \n" + "F\x00{'descr': '>f4', 'fortran_order': False, 'shape': ()} \n" + "F\x00{'descr': '>f4', 'fortran_order': False, 'shape': (15,)} \n" + "F\x00{'descr': '>f4', 'fortran_order': False, 'shape': (3, 5)} \n" + "F\x00{'descr': '>f4', 'fortran_order': True, 'shape': (5, 3)} \n" + "F\x00{'descr': '>f4', 'fortran_order': False, 'shape': (3, 3)} \n" + "F\x00{'descr': 'f8', 'fortran_order': False, 'shape': (0,)} \n" + "F\x00{'descr': '>f8', 'fortran_order': False, 'shape': ()} \n" + "F\x00{'descr': '>f8', 'fortran_order': False, 'shape': (15,)} \n" + "F\x00{'descr': '>f8', 'fortran_order': False, 'shape': (3, 5)} \n" + "F\x00{'descr': '>f8', 'fortran_order': True, 'shape': (5, 3)} \n" + "F\x00{'descr': '>f8', 'fortran_order': False, 'shape': (3, 3)} \n" + "F\x00{'descr': 'c8', 'fortran_order': False, 'shape': (0,)} \n" + "F\x00{'descr': '>c8', 'fortran_order': False, 'shape': ()} \n" + "F\x00{'descr': '>c8', 'fortran_order': False, 'shape': (15,)} \n" + "F\x00{'descr': '>c8', 'fortran_order': False, 'shape': (3, 5)} \n" + "F\x00{'descr': '>c8', 'fortran_order': True, 'shape': (5, 3)} \n" + "F\x00{'descr': '>c8', 'fortran_order': False, 'shape': (3, 3)} \n" + "F\x00{'descr': 'c16', 'fortran_order': False, 'shape': (0,)} \n" + "F\x00{'descr': '>c16', 'fortran_order': False, 'shape': ()} \n" + "F\x00{'descr': '>c16', 'fortran_order': False, 'shape': (15,)} \n" + "F\x00{'descr': '>c16', 'fortran_order': False, 'shape': (3, 5)} \n" + "F\x00{'descr': '>c16', 'fortran_order': True, 'shape': (5, 3)} \n" + "F\x00{'descr': '>c16', 'fortran_order': False, 'shape': (3, 3)} \n" + "F\x00{'descr': 'O', 'fortran_order': False, 'shape': (0,)} \n" + "F\x00{'descr': 'O', 'fortran_order': False, 'shape': ()} \n" + "F\x00{'descr': 'O', 'fortran_order': False, 'shape': (15,)} \n" + "F\x00{'descr': 'O', 'fortran_order': False, 'shape': (3, 5)} \n" + "F\x00{'descr': 'O', 'fortran_order': True, 'shape': (5, 3)} \n" + "F\x00{'descr': 'O', 'fortran_order': False, 'shape': (3, 3)} \n" + "F\x00{'descr': 'O', 'fortran_order': False, 'shape': (0,)} \n" + "F\x00{'descr': 'O', 'fortran_order': False, 'shape': ()} \n" + "F\x00{'descr': 'O', 'fortran_order': False, 'shape': (15,)} \n" + "F\x00{'descr': 'O', 'fortran_order': False, 'shape': (3, 5)} \n" + "F\x00{'descr': 'O', 'fortran_order': True, 'shape': (5, 3)} \n" + "F\x00{'descr': 'O', 'fortran_order': False, 'shape': (3, 3)} \n" + "v\x00{'descr': [('x', 'i4', (2,)), ('y', '>f8', (2, 2)), ('z', '|u1')],\n 'fortran_order': False,\n 'shape': (2,)} \n" + "\x16\x02{'descr': [('x', '>i4', (2,)),\n ('Info',\n [('value', '>c16'),\n ('y2', '>f8'),\n ('Info2',\n [('name', '|S2'),\n ('value', '>c16', (2,)),\n ('y3', '>f8', (2,)),\n ('z3', '>u4', (2,))]),\n ('name', '|S2'),\n ('z2', '|b1')]),\n ('color', '|S2'),\n ('info', [('Name', '>U8'), ('Value', '>c16')]),\n ('y', '>f8', (2, 2)),\n ('z', '|u1')],\n 'fortran_order': False,\n 'shape': (2,)} \n" +''' +import sys +import os +import warnings +import pytest +from io import BytesIO + +import numpy as np +from numpy.testing import ( + assert_, assert_array_equal, assert_raises, assert_raises_regex, + assert_warns, IS_PYPY, IS_WASM + ) +from numpy.testing._private.utils import requires_memory +from numpy.lib import format + + +# Generate some basic arrays to test with. +scalars = [ + np.uint8, + np.int8, + np.uint16, + np.int16, + np.uint32, + np.int32, + np.uint64, + np.int64, + np.float32, + np.float64, + np.complex64, + np.complex128, + object, +] +basic_arrays = [] +for scalar in scalars: + for endian in '<>': + dtype = np.dtype(scalar).newbyteorder(endian) + basic = np.arange(1500).astype(dtype) + basic_arrays.extend([ + # Empty + np.array([], dtype=dtype), + # Rank-0 + np.array(10, dtype=dtype), + # 1-D + basic, + # 2-D C-contiguous + basic.reshape((30, 50)), + # 2-D F-contiguous + basic.reshape((30, 50)).T, + # 2-D non-contiguous + basic.reshape((30, 50))[::-1, ::2], + ]) + +# More complicated record arrays. +# This is the structure of the table used for plain objects: +# +# +-+-+-+ +# |x|y|z| +# +-+-+-+ + +# Structure of a plain array description: +Pdescr = [ + ('x', 'i4', (2,)), + ('y', 'f8', (2, 2)), + ('z', 'u1')] + +# A plain list of tuples with values for testing: +PbufferT = [ + # x y z + ([3, 2], [[6., 4.], [6., 4.]], 8), + ([4, 3], [[7., 5.], [7., 5.]], 9), + ] + + +# This is the structure of the table used for nested objects (DON'T PANIC!): +# +# +-+---------------------------------+-----+----------+-+-+ +# |x|Info |color|info |y|z| +# | +-----+--+----------------+----+--+ +----+-----+ | | +# | |value|y2|Info2 |name|z2| |Name|Value| | | +# | | | +----+-----+--+--+ | | | | | | | +# | | | |name|value|y3|z3| | | | | | | | +# +-+-----+--+----+-----+--+--+----+--+-----+----+-----+-+-+ +# + +# The corresponding nested array description: +Ndescr = [ + ('x', 'i4', (2,)), + ('Info', [ + ('value', 'c16'), + ('y2', 'f8'), + ('Info2', [ + ('name', 'S2'), + ('value', 'c16', (2,)), + ('y3', 'f8', (2,)), + ('z3', 'u4', (2,))]), + ('name', 'S2'), + ('z2', 'b1')]), + ('color', 'S2'), + ('info', [ + ('Name', 'U8'), + ('Value', 'c16')]), + ('y', 'f8', (2, 2)), + ('z', 'u1')] + +NbufferT = [ + # x Info color info y z + # value y2 Info2 name z2 Name Value + # name value y3 z3 + ([3, 2], (6j, 6., ('nn', [6j, 4j], [6., 4.], [1, 2]), 'NN', True), + 'cc', ('NN', 6j), [[6., 4.], [6., 4.]], 8), + ([4, 3], (7j, 7., ('oo', [7j, 5j], [7., 5.], [2, 1]), 'OO', False), + 'dd', ('OO', 7j), [[7., 5.], [7., 5.]], 9), + ] + +record_arrays = [ + np.array(PbufferT, dtype=np.dtype(Pdescr).newbyteorder('<')), + np.array(NbufferT, dtype=np.dtype(Ndescr).newbyteorder('<')), + np.array(PbufferT, dtype=np.dtype(Pdescr).newbyteorder('>')), + np.array(NbufferT, dtype=np.dtype(Ndescr).newbyteorder('>')), + np.zeros(1, dtype=[('c', ('= (3, 12), reason="see gh-23988") +@pytest.mark.xfail(IS_WASM, reason="Emscripten NODEFS has a buggy dup") +def test_python2_python3_interoperability(): + fname = 'win64python2.npy' + path = os.path.join(os.path.dirname(__file__), 'data', fname) + with pytest.warns(UserWarning, match="Reading.*this warning\\."): + data = np.load(path) + assert_array_equal(data, np.ones(2)) + +def test_pickle_python2_python3(): + # Test that loading object arrays saved on Python 2 works both on + # Python 2 and Python 3 and vice versa + data_dir = os.path.join(os.path.dirname(__file__), 'data') + + expected = np.array([None, range, '\u512a\u826f', + b'\xe4\xb8\x8d\xe8\x89\xaf'], + dtype=object) + + for fname in ['py2-objarr.npy', 'py2-objarr.npz', + 'py3-objarr.npy', 'py3-objarr.npz']: + path = os.path.join(data_dir, fname) + + for encoding in ['bytes', 'latin1']: + data_f = np.load(path, allow_pickle=True, encoding=encoding) + if fname.endswith('.npz'): + data = data_f['x'] + data_f.close() + else: + data = data_f + + if encoding == 'latin1' and fname.startswith('py2'): + assert_(isinstance(data[3], str)) + assert_array_equal(data[:-1], expected[:-1]) + # mojibake occurs + assert_array_equal(data[-1].encode(encoding), expected[-1]) + else: + assert_(isinstance(data[3], bytes)) + assert_array_equal(data, expected) + + if fname.startswith('py2'): + if fname.endswith('.npz'): + data = np.load(path, allow_pickle=True) + assert_raises(UnicodeError, data.__getitem__, 'x') + data.close() + data = np.load(path, allow_pickle=True, fix_imports=False, + encoding='latin1') + assert_raises(ImportError, data.__getitem__, 'x') + data.close() + else: + assert_raises(UnicodeError, np.load, path, + allow_pickle=True) + assert_raises(ImportError, np.load, path, + allow_pickle=True, fix_imports=False, + encoding='latin1') + + +def test_pickle_disallow(tmpdir): + data_dir = os.path.join(os.path.dirname(__file__), 'data') + + path = os.path.join(data_dir, 'py2-objarr.npy') + assert_raises(ValueError, np.load, path, + allow_pickle=False, encoding='latin1') + + path = os.path.join(data_dir, 'py2-objarr.npz') + with np.load(path, allow_pickle=False, encoding='latin1') as f: + assert_raises(ValueError, f.__getitem__, 'x') + + path = os.path.join(tmpdir, 'pickle-disabled.npy') + assert_raises(ValueError, np.save, path, np.array([None], dtype=object), + allow_pickle=False) + +@pytest.mark.parametrize('dt', [ + np.dtype(np.dtype([('a', np.int8), + ('b', np.int16), + ('c', np.int32), + ], align=True), + (3,)), + np.dtype([('x', np.dtype({'names':['a','b'], + 'formats':['i1','i1'], + 'offsets':[0,4], + 'itemsize':8, + }, + (3,)), + (4,), + )]), + np.dtype([('x', + (' 1, a) + assert_array_equal(b, [3, 2, 2, 3, 3]) + + def test_place(self): + # Make sure that non-np.ndarray objects + # raise an error instead of doing nothing + assert_raises(TypeError, place, [1, 2, 3], [True, False], [0, 1]) + + a = np.array([1, 4, 3, 2, 5, 8, 7]) + place(a, [0, 1, 0, 1, 0, 1, 0], [2, 4, 6]) + assert_array_equal(a, [1, 2, 3, 4, 5, 6, 7]) + + place(a, np.zeros(7), []) + assert_array_equal(a, np.arange(1, 8)) + + place(a, [1, 0, 1, 0, 1, 0, 1], [8, 9]) + assert_array_equal(a, [8, 2, 9, 4, 8, 6, 9]) + assert_raises_regex(ValueError, "Cannot insert from an empty array", + lambda: place(a, [0, 0, 0, 0, 0, 1, 0], [])) + + # See Issue #6974 + a = np.array(['12', '34']) + place(a, [0, 1], '9') + assert_array_equal(a, ['12', '9']) + + def test_both(self): + a = rand(10) + mask = a > 0.5 + ac = a.copy() + c = extract(mask, a) + place(a, mask, 0) + place(a, mask, c) + assert_array_equal(a, ac) + + +# _foo1 and _foo2 are used in some tests in TestVectorize. + +def _foo1(x, y=1.0): + return y*math.floor(x) + + +def _foo2(x, y=1.0, z=0.0): + return y*math.floor(x) + z + + +class TestVectorize: + + def test_simple(self): + def addsubtract(a, b): + if a > b: + return a - b + else: + return a + b + + f = vectorize(addsubtract) + r = f([0, 3, 6, 9], [1, 3, 5, 7]) + assert_array_equal(r, [1, 6, 1, 2]) + + def test_scalar(self): + def addsubtract(a, b): + if a > b: + return a - b + else: + return a + b + + f = vectorize(addsubtract) + r = f([0, 3, 6, 9], 5) + assert_array_equal(r, [5, 8, 1, 4]) + + def test_large(self): + x = np.linspace(-3, 2, 10000) + f = vectorize(lambda x: x) + y = f(x) + assert_array_equal(y, x) + + def test_ufunc(self): + f = vectorize(math.cos) + args = np.array([0, 0.5 * np.pi, np.pi, 1.5 * np.pi, 2 * np.pi]) + r1 = f(args) + r2 = np.cos(args) + assert_array_almost_equal(r1, r2) + + def test_keywords(self): + + def foo(a, b=1): + return a + b + + f = vectorize(foo) + args = np.array([1, 2, 3]) + r1 = f(args) + r2 = np.array([2, 3, 4]) + assert_array_equal(r1, r2) + r1 = f(args, 2) + r2 = np.array([3, 4, 5]) + assert_array_equal(r1, r2) + + def test_keywords_with_otypes_order1(self): + # gh-1620: The second call of f would crash with + # `ValueError: invalid number of arguments`. + f = vectorize(_foo1, otypes=[float]) + # We're testing the caching of ufuncs by vectorize, so the order + # of these function calls is an important part of the test. + r1 = f(np.arange(3.0), 1.0) + r2 = f(np.arange(3.0)) + assert_array_equal(r1, r2) + + def test_keywords_with_otypes_order2(self): + # gh-1620: The second call of f would crash with + # `ValueError: non-broadcastable output operand with shape () + # doesn't match the broadcast shape (3,)`. + f = vectorize(_foo1, otypes=[float]) + # We're testing the caching of ufuncs by vectorize, so the order + # of these function calls is an important part of the test. + r1 = f(np.arange(3.0)) + r2 = f(np.arange(3.0), 1.0) + assert_array_equal(r1, r2) + + def test_keywords_with_otypes_order3(self): + # gh-1620: The third call of f would crash with + # `ValueError: invalid number of arguments`. + f = vectorize(_foo1, otypes=[float]) + # We're testing the caching of ufuncs by vectorize, so the order + # of these function calls is an important part of the test. + r1 = f(np.arange(3.0)) + r2 = f(np.arange(3.0), y=1.0) + r3 = f(np.arange(3.0)) + assert_array_equal(r1, r2) + assert_array_equal(r1, r3) + + def test_keywords_with_otypes_several_kwd_args1(self): + # gh-1620 Make sure different uses of keyword arguments + # don't break the vectorized function. + f = vectorize(_foo2, otypes=[float]) + # We're testing the caching of ufuncs by vectorize, so the order + # of these function calls is an important part of the test. + r1 = f(10.4, z=100) + r2 = f(10.4, y=-1) + r3 = f(10.4) + assert_equal(r1, _foo2(10.4, z=100)) + assert_equal(r2, _foo2(10.4, y=-1)) + assert_equal(r3, _foo2(10.4)) + + def test_keywords_with_otypes_several_kwd_args2(self): + # gh-1620 Make sure different uses of keyword arguments + # don't break the vectorized function. + f = vectorize(_foo2, otypes=[float]) + # We're testing the caching of ufuncs by vectorize, so the order + # of these function calls is an important part of the test. + r1 = f(z=100, x=10.4, y=-1) + r2 = f(1, 2, 3) + assert_equal(r1, _foo2(z=100, x=10.4, y=-1)) + assert_equal(r2, _foo2(1, 2, 3)) + + def test_keywords_no_func_code(self): + # This needs to test a function that has keywords but + # no func_code attribute, since otherwise vectorize will + # inspect the func_code. + import random + try: + vectorize(random.randrange) # Should succeed + except Exception: + raise AssertionError() + + def test_keywords2_ticket_2100(self): + # Test kwarg support: enhancement ticket 2100 + + def foo(a, b=1): + return a + b + + f = vectorize(foo) + args = np.array([1, 2, 3]) + r1 = f(a=args) + r2 = np.array([2, 3, 4]) + assert_array_equal(r1, r2) + r1 = f(b=1, a=args) + assert_array_equal(r1, r2) + r1 = f(args, b=2) + r2 = np.array([3, 4, 5]) + assert_array_equal(r1, r2) + + def test_keywords3_ticket_2100(self): + # Test excluded with mixed positional and kwargs: ticket 2100 + def mypolyval(x, p): + _p = list(p) + res = _p.pop(0) + while _p: + res = res * x + _p.pop(0) + return res + + vpolyval = np.vectorize(mypolyval, excluded=['p', 1]) + ans = [3, 6] + assert_array_equal(ans, vpolyval(x=[0, 1], p=[1, 2, 3])) + assert_array_equal(ans, vpolyval([0, 1], p=[1, 2, 3])) + assert_array_equal(ans, vpolyval([0, 1], [1, 2, 3])) + + def test_keywords4_ticket_2100(self): + # Test vectorizing function with no positional args. + @vectorize + def f(**kw): + res = 1.0 + for _k in kw: + res *= kw[_k] + return res + + assert_array_equal(f(a=[1, 2], b=[3, 4]), [3, 8]) + + def test_keywords5_ticket_2100(self): + # Test vectorizing function with no kwargs args. + @vectorize + def f(*v): + return np.prod(v) + + assert_array_equal(f([1, 2], [3, 4]), [3, 8]) + + def test_coverage1_ticket_2100(self): + def foo(): + return 1 + + f = vectorize(foo) + assert_array_equal(f(), 1) + + def test_assigning_docstring(self): + def foo(x): + """Original documentation""" + return x + + f = vectorize(foo) + assert_equal(f.__doc__, foo.__doc__) + + doc = "Provided documentation" + f = vectorize(foo, doc=doc) + assert_equal(f.__doc__, doc) + + def test_UnboundMethod_ticket_1156(self): + # Regression test for issue 1156 + class Foo: + b = 2 + + def bar(self, a): + return a ** self.b + + assert_array_equal(vectorize(Foo().bar)(np.arange(9)), + np.arange(9) ** 2) + assert_array_equal(vectorize(Foo.bar)(Foo(), np.arange(9)), + np.arange(9) ** 2) + + def test_execution_order_ticket_1487(self): + # Regression test for dependence on execution order: issue 1487 + f1 = vectorize(lambda x: x) + res1a = f1(np.arange(3)) + res1b = f1(np.arange(0.1, 3)) + f2 = vectorize(lambda x: x) + res2b = f2(np.arange(0.1, 3)) + res2a = f2(np.arange(3)) + assert_equal(res1a, res2a) + assert_equal(res1b, res2b) + + def test_string_ticket_1892(self): + # Test vectorization over strings: issue 1892. + f = np.vectorize(lambda x: x) + s = '0123456789' * 10 + assert_equal(s, f(s)) + + def test_cache(self): + # Ensure that vectorized func called exactly once per argument. + _calls = [0] + + @vectorize + def f(x): + _calls[0] += 1 + return x ** 2 + + f.cache = True + x = np.arange(5) + assert_array_equal(f(x), x * x) + assert_equal(_calls[0], len(x)) + + def test_otypes(self): + f = np.vectorize(lambda x: x) + f.otypes = 'i' + x = np.arange(5) + assert_array_equal(f(x), x) + + def test_parse_gufunc_signature(self): + assert_equal(nfb._parse_gufunc_signature('(x)->()'), ([('x',)], [()])) + assert_equal(nfb._parse_gufunc_signature('(x,y)->()'), + ([('x', 'y')], [()])) + assert_equal(nfb._parse_gufunc_signature('(x),(y)->()'), + ([('x',), ('y',)], [()])) + assert_equal(nfb._parse_gufunc_signature('(x)->(y)'), + ([('x',)], [('y',)])) + assert_equal(nfb._parse_gufunc_signature('(x)->(y),()'), + ([('x',)], [('y',), ()])) + assert_equal(nfb._parse_gufunc_signature('(),(a,b,c),(d)->(d,e)'), + ([(), ('a', 'b', 'c'), ('d',)], [('d', 'e')])) + + # Tests to check if whitespaces are ignored + assert_equal(nfb._parse_gufunc_signature('(x )->()'), ([('x',)], [()])) + assert_equal(nfb._parse_gufunc_signature('( x , y )->( )'), + ([('x', 'y')], [()])) + assert_equal(nfb._parse_gufunc_signature('(x),( y) ->()'), + ([('x',), ('y',)], [()])) + assert_equal(nfb._parse_gufunc_signature('( x)-> (y ) '), + ([('x',)], [('y',)])) + assert_equal(nfb._parse_gufunc_signature(' (x)->( y),( )'), + ([('x',)], [('y',), ()])) + assert_equal(nfb._parse_gufunc_signature( + '( ), ( a, b,c ) ,( d) -> (d , e)'), + ([(), ('a', 'b', 'c'), ('d',)], [('d', 'e')])) + + with assert_raises(ValueError): + nfb._parse_gufunc_signature('(x)(y)->()') + with assert_raises(ValueError): + nfb._parse_gufunc_signature('(x),(y)->') + with assert_raises(ValueError): + nfb._parse_gufunc_signature('((x))->(x)') + + def test_signature_simple(self): + def addsubtract(a, b): + if a > b: + return a - b + else: + return a + b + + f = vectorize(addsubtract, signature='(),()->()') + r = f([0, 3, 6, 9], [1, 3, 5, 7]) + assert_array_equal(r, [1, 6, 1, 2]) + + def test_signature_mean_last(self): + def mean(a): + return a.mean() + + f = vectorize(mean, signature='(n)->()') + r = f([[1, 3], [2, 4]]) + assert_array_equal(r, [2, 3]) + + def test_signature_center(self): + def center(a): + return a - a.mean() + + f = vectorize(center, signature='(n)->(n)') + r = f([[1, 3], [2, 4]]) + assert_array_equal(r, [[-1, 1], [-1, 1]]) + + def test_signature_two_outputs(self): + f = vectorize(lambda x: (x, x), signature='()->(),()') + r = f([1, 2, 3]) + assert_(isinstance(r, tuple) and len(r) == 2) + assert_array_equal(r[0], [1, 2, 3]) + assert_array_equal(r[1], [1, 2, 3]) + + def test_signature_outer(self): + f = vectorize(np.outer, signature='(a),(b)->(a,b)') + r = f([1, 2], [1, 2, 3]) + assert_array_equal(r, [[1, 2, 3], [2, 4, 6]]) + + r = f([[[1, 2]]], [1, 2, 3]) + assert_array_equal(r, [[[[1, 2, 3], [2, 4, 6]]]]) + + r = f([[1, 0], [2, 0]], [1, 2, 3]) + assert_array_equal(r, [[[1, 2, 3], [0, 0, 0]], + [[2, 4, 6], [0, 0, 0]]]) + + r = f([1, 2], [[1, 2, 3], [0, 0, 0]]) + assert_array_equal(r, [[[1, 2, 3], [2, 4, 6]], + [[0, 0, 0], [0, 0, 0]]]) + + def test_signature_computed_size(self): + f = vectorize(lambda x: x[:-1], signature='(n)->(m)') + r = f([1, 2, 3]) + assert_array_equal(r, [1, 2]) + + r = f([[1, 2, 3], [2, 3, 4]]) + assert_array_equal(r, [[1, 2], [2, 3]]) + + def test_signature_excluded(self): + + def foo(a, b=1): + return a + b + + f = vectorize(foo, signature='()->()', excluded={'b'}) + assert_array_equal(f([1, 2, 3]), [2, 3, 4]) + assert_array_equal(f([1, 2, 3], b=0), [1, 2, 3]) + + def test_signature_otypes(self): + f = vectorize(lambda x: x, signature='(n)->(n)', otypes=['float64']) + r = f([1, 2, 3]) + assert_equal(r.dtype, np.dtype('float64')) + assert_array_equal(r, [1, 2, 3]) + + def test_signature_invalid_inputs(self): + f = vectorize(operator.add, signature='(n),(n)->(n)') + with assert_raises_regex(TypeError, 'wrong number of positional'): + f([1, 2]) + with assert_raises_regex( + ValueError, 'does not have enough dimensions'): + f(1, 2) + with assert_raises_regex( + ValueError, 'inconsistent size for core dimension'): + f([1, 2], [1, 2, 3]) + + f = vectorize(operator.add, signature='()->()') + with assert_raises_regex(TypeError, 'wrong number of positional'): + f(1, 2) + + def test_signature_invalid_outputs(self): + + f = vectorize(lambda x: x[:-1], signature='(n)->(n)') + with assert_raises_regex( + ValueError, 'inconsistent size for core dimension'): + f([1, 2, 3]) + + f = vectorize(lambda x: x, signature='()->(),()') + with assert_raises_regex(ValueError, 'wrong number of outputs'): + f(1) + + f = vectorize(lambda x: (x, x), signature='()->()') + with assert_raises_regex(ValueError, 'wrong number of outputs'): + f([1, 2]) + + def test_size_zero_output(self): + # see issue 5868 + f = np.vectorize(lambda x: x) + x = np.zeros([0, 5], dtype=int) + with assert_raises_regex(ValueError, 'otypes'): + f(x) + + f.otypes = 'i' + assert_array_equal(f(x), x) + + f = np.vectorize(lambda x: x, signature='()->()') + with assert_raises_regex(ValueError, 'otypes'): + f(x) + + f = np.vectorize(lambda x: x, signature='()->()', otypes='i') + assert_array_equal(f(x), x) + + f = np.vectorize(lambda x: x, signature='(n)->(n)', otypes='i') + assert_array_equal(f(x), x) + + f = np.vectorize(lambda x: x, signature='(n)->(n)') + assert_array_equal(f(x.T), x.T) + + f = np.vectorize(lambda x: [x], signature='()->(n)', otypes='i') + with assert_raises_regex(ValueError, 'new output dimensions'): + f(x) + + def test_subclasses(self): + class subclass(np.ndarray): + pass + + m = np.array([[1., 0., 0.], + [0., 0., 1.], + [0., 1., 0.]]).view(subclass) + v = np.array([[1., 2., 3.], [4., 5., 6.], [7., 8., 9.]]).view(subclass) + # generalized (gufunc) + matvec = np.vectorize(np.matmul, signature='(m,m),(m)->(m)') + r = matvec(m, v) + assert_equal(type(r), subclass) + assert_equal(r, [[1., 3., 2.], [4., 6., 5.], [7., 9., 8.]]) + + # element-wise (ufunc) + mult = np.vectorize(lambda x, y: x*y) + r = mult(m, v) + assert_equal(type(r), subclass) + assert_equal(r, m * v) + + def test_name(self): + #See gh-23021 + @np.vectorize + def f2(a, b): + return a + b + + assert f2.__name__ == 'f2' + + def test_decorator(self): + @vectorize + def addsubtract(a, b): + if a > b: + return a - b + else: + return a + b + + r = addsubtract([0, 3, 6, 9], [1, 3, 5, 7]) + assert_array_equal(r, [1, 6, 1, 2]) + + def test_docstring(self): + @vectorize + def f(x): + """Docstring""" + return x + + if sys.flags.optimize < 2: + assert f.__doc__ == "Docstring" + + def test_partial(self): + def foo(x, y): + return x + y + + bar = partial(foo, 3) + vbar = np.vectorize(bar) + assert vbar(1) == 4 + + def test_signature_otypes_decorator(self): + @vectorize(signature='(n)->(n)', otypes=['float64']) + def f(x): + return x + + r = f([1, 2, 3]) + assert_equal(r.dtype, np.dtype('float64')) + assert_array_equal(r, [1, 2, 3]) + assert f.__name__ == 'f' + + def test_bad_input(self): + with assert_raises(TypeError): + A = np.vectorize(pyfunc = 3) + + def test_no_keywords(self): + with assert_raises(TypeError): + @np.vectorize("string") + def foo(): + return "bar" + + def test_positional_regression_9477(self): + # This supplies the first keyword argument as a positional, + # to ensure that they are still properly forwarded after the + # enhancement for #9477 + f = vectorize((lambda x: x), ['float64']) + r = f([2]) + assert_equal(r.dtype, np.dtype('float64')) + + +class TestLeaks: + class A: + iters = 20 + + def bound(self, *args): + return 0 + + @staticmethod + def unbound(*args): + return 0 + + @pytest.mark.skipif(not HAS_REFCOUNT, reason="Python lacks refcounts") + @pytest.mark.parametrize('name, incr', [ + ('bound', A.iters), + ('unbound', 0), + ]) + def test_frompyfunc_leaks(self, name, incr): + # exposed in gh-11867 as np.vectorized, but the problem stems from + # frompyfunc. + # class.attribute = np.frompyfunc() creates a + # reference cycle if is a bound class method. It requires a + # gc collection cycle to break the cycle (on CPython 3) + import gc + A_func = getattr(self.A, name) + gc.disable() + try: + refcount = sys.getrefcount(A_func) + for i in range(self.A.iters): + a = self.A() + a.f = np.frompyfunc(getattr(a, name), 1, 1) + out = a.f(np.arange(10)) + a = None + # A.func is part of a reference cycle if incr is non-zero + assert_equal(sys.getrefcount(A_func), refcount + incr) + for i in range(5): + gc.collect() + assert_equal(sys.getrefcount(A_func), refcount) + finally: + gc.enable() + + +class TestDigitize: + + def test_forward(self): + x = np.arange(-6, 5) + bins = np.arange(-5, 5) + assert_array_equal(digitize(x, bins), np.arange(11)) + + def test_reverse(self): + x = np.arange(5, -6, -1) + bins = np.arange(5, -5, -1) + assert_array_equal(digitize(x, bins), np.arange(11)) + + def test_random(self): + x = rand(10) + bin = np.linspace(x.min(), x.max(), 10) + assert_(np.all(digitize(x, bin) != 0)) + + def test_right_basic(self): + x = [1, 5, 4, 10, 8, 11, 0] + bins = [1, 5, 10] + default_answer = [1, 2, 1, 3, 2, 3, 0] + assert_array_equal(digitize(x, bins), default_answer) + right_answer = [0, 1, 1, 2, 2, 3, 0] + assert_array_equal(digitize(x, bins, True), right_answer) + + def test_right_open(self): + x = np.arange(-6, 5) + bins = np.arange(-6, 4) + assert_array_equal(digitize(x, bins, True), np.arange(11)) + + def test_right_open_reverse(self): + x = np.arange(5, -6, -1) + bins = np.arange(4, -6, -1) + assert_array_equal(digitize(x, bins, True), np.arange(11)) + + def test_right_open_random(self): + x = rand(10) + bins = np.linspace(x.min(), x.max(), 10) + assert_(np.all(digitize(x, bins, True) != 10)) + + def test_monotonic(self): + x = [-1, 0, 1, 2] + bins = [0, 0, 1] + assert_array_equal(digitize(x, bins, False), [0, 2, 3, 3]) + assert_array_equal(digitize(x, bins, True), [0, 0, 2, 3]) + bins = [1, 1, 0] + assert_array_equal(digitize(x, bins, False), [3, 2, 0, 0]) + assert_array_equal(digitize(x, bins, True), [3, 3, 2, 0]) + bins = [1, 1, 1, 1] + assert_array_equal(digitize(x, bins, False), [0, 0, 4, 4]) + assert_array_equal(digitize(x, bins, True), [0, 0, 0, 4]) + bins = [0, 0, 1, 0] + assert_raises(ValueError, digitize, x, bins) + bins = [1, 1, 0, 1] + assert_raises(ValueError, digitize, x, bins) + + def test_casting_error(self): + x = [1, 2, 3 + 1.j] + bins = [1, 2, 3] + assert_raises(TypeError, digitize, x, bins) + x, bins = bins, x + assert_raises(TypeError, digitize, x, bins) + + def test_return_type(self): + # Functions returning indices should always return base ndarrays + class A(np.ndarray): + pass + a = np.arange(5).view(A) + b = np.arange(1, 3).view(A) + assert_(not isinstance(digitize(b, a, False), A)) + assert_(not isinstance(digitize(b, a, True), A)) + + def test_large_integers_increasing(self): + # gh-11022 + x = 2**54 # loses precision in a float + assert_equal(np.digitize(x, [x - 1, x + 1]), 1) + + @pytest.mark.xfail( + reason="gh-11022: np.core.multiarray._monoticity loses precision") + def test_large_integers_decreasing(self): + # gh-11022 + x = 2**54 # loses precision in a float + assert_equal(np.digitize(x, [x + 1, x - 1]), 1) + + +class TestUnwrap: + + def test_simple(self): + # check that unwrap removes jumps greater that 2*pi + assert_array_equal(unwrap([1, 1 + 2 * np.pi]), [1, 1]) + # check that unwrap maintains continuity + assert_(np.all(diff(unwrap(rand(10) * 100)) < np.pi)) + + def test_period(self): + # check that unwrap removes jumps greater that 255 + assert_array_equal(unwrap([1, 1 + 256], period=255), [1, 2]) + # check that unwrap maintains continuity + assert_(np.all(diff(unwrap(rand(10) * 1000, period=255)) < 255)) + # check simple case + simple_seq = np.array([0, 75, 150, 225, 300]) + wrap_seq = np.mod(simple_seq, 255) + assert_array_equal(unwrap(wrap_seq, period=255), simple_seq) + # check custom discont value + uneven_seq = np.array([0, 75, 150, 225, 300, 430]) + wrap_uneven = np.mod(uneven_seq, 250) + no_discont = unwrap(wrap_uneven, period=250) + assert_array_equal(no_discont, [0, 75, 150, 225, 300, 180]) + sm_discont = unwrap(wrap_uneven, period=250, discont=140) + assert_array_equal(sm_discont, [0, 75, 150, 225, 300, 430]) + assert sm_discont.dtype == wrap_uneven.dtype + + +@pytest.mark.parametrize( + "dtype", "O" + np.typecodes["AllInteger"] + np.typecodes["Float"] +) +@pytest.mark.parametrize("M", [0, 1, 10]) +class TestFilterwindows: + + def test_hanning(self, dtype: str, M: int) -> None: + scalar = np.array(M, dtype=dtype)[()] + + w = hanning(scalar) + if dtype == "O": + ref_dtype = np.float64 + else: + ref_dtype = np.result_type(scalar.dtype, np.float64) + assert w.dtype == ref_dtype + + # check symmetry + assert_equal(w, flipud(w)) + + # check known value + if scalar < 1: + assert_array_equal(w, np.array([])) + elif scalar == 1: + assert_array_equal(w, np.ones(1)) + else: + assert_almost_equal(np.sum(w, axis=0), 4.500, 4) + + def test_hamming(self, dtype: str, M: int) -> None: + scalar = np.array(M, dtype=dtype)[()] + + w = hamming(scalar) + if dtype == "O": + ref_dtype = np.float64 + else: + ref_dtype = np.result_type(scalar.dtype, np.float64) + assert w.dtype == ref_dtype + + # check symmetry + assert_equal(w, flipud(w)) + + # check known value + if scalar < 1: + assert_array_equal(w, np.array([])) + elif scalar == 1: + assert_array_equal(w, np.ones(1)) + else: + assert_almost_equal(np.sum(w, axis=0), 4.9400, 4) + + def test_bartlett(self, dtype: str, M: int) -> None: + scalar = np.array(M, dtype=dtype)[()] + + w = bartlett(scalar) + if dtype == "O": + ref_dtype = np.float64 + else: + ref_dtype = np.result_type(scalar.dtype, np.float64) + assert w.dtype == ref_dtype + + # check symmetry + assert_equal(w, flipud(w)) + + # check known value + if scalar < 1: + assert_array_equal(w, np.array([])) + elif scalar == 1: + assert_array_equal(w, np.ones(1)) + else: + assert_almost_equal(np.sum(w, axis=0), 4.4444, 4) + + def test_blackman(self, dtype: str, M: int) -> None: + scalar = np.array(M, dtype=dtype)[()] + + w = blackman(scalar) + if dtype == "O": + ref_dtype = np.float64 + else: + ref_dtype = np.result_type(scalar.dtype, np.float64) + assert w.dtype == ref_dtype + + # check symmetry + assert_equal(w, flipud(w)) + + # check known value + if scalar < 1: + assert_array_equal(w, np.array([])) + elif scalar == 1: + assert_array_equal(w, np.ones(1)) + else: + assert_almost_equal(np.sum(w, axis=0), 3.7800, 4) + + def test_kaiser(self, dtype: str, M: int) -> None: + scalar = np.array(M, dtype=dtype)[()] + + w = kaiser(scalar, 0) + if dtype == "O": + ref_dtype = np.float64 + else: + ref_dtype = np.result_type(scalar.dtype, np.float64) + assert w.dtype == ref_dtype + + # check symmetry + assert_equal(w, flipud(w)) + + # check known value + if scalar < 1: + assert_array_equal(w, np.array([])) + elif scalar == 1: + assert_array_equal(w, np.ones(1)) + else: + assert_almost_equal(np.sum(w, axis=0), 10, 15) + + +class TestTrapz: + + def test_simple(self): + x = np.arange(-10, 10, .1) + r = trapz(np.exp(-.5 * x ** 2) / np.sqrt(2 * np.pi), dx=0.1) + # check integral of normal equals 1 + assert_almost_equal(r, 1, 7) + + def test_ndim(self): + x = np.linspace(0, 1, 3) + y = np.linspace(0, 2, 8) + z = np.linspace(0, 3, 13) + + wx = np.ones_like(x) * (x[1] - x[0]) + wx[0] /= 2 + wx[-1] /= 2 + wy = np.ones_like(y) * (y[1] - y[0]) + wy[0] /= 2 + wy[-1] /= 2 + wz = np.ones_like(z) * (z[1] - z[0]) + wz[0] /= 2 + wz[-1] /= 2 + + q = x[:, None, None] + y[None,:, None] + z[None, None,:] + + qx = (q * wx[:, None, None]).sum(axis=0) + qy = (q * wy[None, :, None]).sum(axis=1) + qz = (q * wz[None, None, :]).sum(axis=2) + + # n-d `x` + r = trapz(q, x=x[:, None, None], axis=0) + assert_almost_equal(r, qx) + r = trapz(q, x=y[None,:, None], axis=1) + assert_almost_equal(r, qy) + r = trapz(q, x=z[None, None,:], axis=2) + assert_almost_equal(r, qz) + + # 1-d `x` + r = trapz(q, x=x, axis=0) + assert_almost_equal(r, qx) + r = trapz(q, x=y, axis=1) + assert_almost_equal(r, qy) + r = trapz(q, x=z, axis=2) + assert_almost_equal(r, qz) + + def test_masked(self): + # Testing that masked arrays behave as if the function is 0 where + # masked + x = np.arange(5) + y = x * x + mask = x == 2 + ym = np.ma.array(y, mask=mask) + r = 13.0 # sum(0.5 * (0 + 1) * 1.0 + 0.5 * (9 + 16)) + assert_almost_equal(trapz(ym, x), r) + + xm = np.ma.array(x, mask=mask) + assert_almost_equal(trapz(ym, xm), r) + + xm = np.ma.array(x, mask=mask) + assert_almost_equal(trapz(y, xm), r) + + +class TestSinc: + + def test_simple(self): + assert_(sinc(0) == 1) + w = sinc(np.linspace(-1, 1, 100)) + # check symmetry + assert_array_almost_equal(w, flipud(w), 7) + + def test_array_like(self): + x = [0, 0.5] + y1 = sinc(np.array(x)) + y2 = sinc(list(x)) + y3 = sinc(tuple(x)) + assert_array_equal(y1, y2) + assert_array_equal(y1, y3) + + +class TestUnique: + + def test_simple(self): + x = np.array([4, 3, 2, 1, 1, 2, 3, 4, 0]) + assert_(np.all(unique(x) == [0, 1, 2, 3, 4])) + assert_(unique(np.array([1, 1, 1, 1, 1])) == np.array([1])) + x = ['widget', 'ham', 'foo', 'bar', 'foo', 'ham'] + assert_(np.all(unique(x) == ['bar', 'foo', 'ham', 'widget'])) + x = np.array([5 + 6j, 1 + 1j, 1 + 10j, 10, 5 + 6j]) + assert_(np.all(unique(x) == [1 + 1j, 1 + 10j, 5 + 6j, 10])) + + +class TestCheckFinite: + + def test_simple(self): + a = [1, 2, 3] + b = [1, 2, np.inf] + c = [1, 2, np.nan] + np.lib.asarray_chkfinite(a) + assert_raises(ValueError, np.lib.asarray_chkfinite, b) + assert_raises(ValueError, np.lib.asarray_chkfinite, c) + + def test_dtype_order(self): + # Regression test for missing dtype and order arguments + a = [1, 2, 3] + a = np.lib.asarray_chkfinite(a, order='F', dtype=np.float64) + assert_(a.dtype == np.float64) + + +class TestCorrCoef: + A = np.array( + [[0.15391142, 0.18045767, 0.14197213], + [0.70461506, 0.96474128, 0.27906989], + [0.9297531, 0.32296769, 0.19267156]]) + B = np.array( + [[0.10377691, 0.5417086, 0.49807457], + [0.82872117, 0.77801674, 0.39226705], + [0.9314666, 0.66800209, 0.03538394]]) + res1 = np.array( + [[1., 0.9379533, -0.04931983], + [0.9379533, 1., 0.30007991], + [-0.04931983, 0.30007991, 1.]]) + res2 = np.array( + [[1., 0.9379533, -0.04931983, 0.30151751, 0.66318558, 0.51532523], + [0.9379533, 1., 0.30007991, -0.04781421, 0.88157256, 0.78052386], + [-0.04931983, 0.30007991, 1., -0.96717111, 0.71483595, 0.83053601], + [0.30151751, -0.04781421, -0.96717111, 1., -0.51366032, -0.66173113], + [0.66318558, 0.88157256, 0.71483595, -0.51366032, 1., 0.98317823], + [0.51532523, 0.78052386, 0.83053601, -0.66173113, 0.98317823, 1.]]) + + def test_non_array(self): + assert_almost_equal(np.corrcoef([0, 1, 0], [1, 0, 1]), + [[1., -1.], [-1., 1.]]) + + def test_simple(self): + tgt1 = corrcoef(self.A) + assert_almost_equal(tgt1, self.res1) + assert_(np.all(np.abs(tgt1) <= 1.0)) + + tgt2 = corrcoef(self.A, self.B) + assert_almost_equal(tgt2, self.res2) + assert_(np.all(np.abs(tgt2) <= 1.0)) + + def test_ddof(self): + # ddof raises DeprecationWarning + with suppress_warnings() as sup: + warnings.simplefilter("always") + assert_warns(DeprecationWarning, corrcoef, self.A, ddof=-1) + sup.filter(DeprecationWarning) + # ddof has no or negligible effect on the function + assert_almost_equal(corrcoef(self.A, ddof=-1), self.res1) + assert_almost_equal(corrcoef(self.A, self.B, ddof=-1), self.res2) + assert_almost_equal(corrcoef(self.A, ddof=3), self.res1) + assert_almost_equal(corrcoef(self.A, self.B, ddof=3), self.res2) + + def test_bias(self): + # bias raises DeprecationWarning + with suppress_warnings() as sup: + warnings.simplefilter("always") + assert_warns(DeprecationWarning, corrcoef, self.A, self.B, 1, 0) + assert_warns(DeprecationWarning, corrcoef, self.A, bias=0) + sup.filter(DeprecationWarning) + # bias has no or negligible effect on the function + assert_almost_equal(corrcoef(self.A, bias=1), self.res1) + + def test_complex(self): + x = np.array([[1, 2, 3], [1j, 2j, 3j]]) + res = corrcoef(x) + tgt = np.array([[1., -1.j], [1.j, 1.]]) + assert_allclose(res, tgt) + assert_(np.all(np.abs(res) <= 1.0)) + + def test_xy(self): + x = np.array([[1, 2, 3]]) + y = np.array([[1j, 2j, 3j]]) + assert_allclose(np.corrcoef(x, y), np.array([[1., -1.j], [1.j, 1.]])) + + def test_empty(self): + with warnings.catch_warnings(record=True): + warnings.simplefilter('always', RuntimeWarning) + assert_array_equal(corrcoef(np.array([])), np.nan) + assert_array_equal(corrcoef(np.array([]).reshape(0, 2)), + np.array([]).reshape(0, 0)) + assert_array_equal(corrcoef(np.array([]).reshape(2, 0)), + np.array([[np.nan, np.nan], [np.nan, np.nan]])) + + def test_extreme(self): + x = [[1e-100, 1e100], [1e100, 1e-100]] + with np.errstate(all='raise'): + c = corrcoef(x) + assert_array_almost_equal(c, np.array([[1., -1.], [-1., 1.]])) + assert_(np.all(np.abs(c) <= 1.0)) + + @pytest.mark.parametrize("test_type", [np.half, np.single, np.double, np.longdouble]) + def test_corrcoef_dtype(self, test_type): + cast_A = self.A.astype(test_type) + res = corrcoef(cast_A, dtype=test_type) + assert test_type == res.dtype + + +class TestCov: + x1 = np.array([[0, 2], [1, 1], [2, 0]]).T + res1 = np.array([[1., -1.], [-1., 1.]]) + x2 = np.array([0.0, 1.0, 2.0], ndmin=2) + frequencies = np.array([1, 4, 1]) + x2_repeats = np.array([[0.0], [1.0], [1.0], [1.0], [1.0], [2.0]]).T + res2 = np.array([[0.4, -0.4], [-0.4, 0.4]]) + unit_frequencies = np.ones(3, dtype=np.int_) + weights = np.array([1.0, 4.0, 1.0]) + res3 = np.array([[2. / 3., -2. / 3.], [-2. / 3., 2. / 3.]]) + unit_weights = np.ones(3) + x3 = np.array([0.3942, 0.5969, 0.7730, 0.9918, 0.7964]) + + def test_basic(self): + assert_allclose(cov(self.x1), self.res1) + + def test_complex(self): + x = np.array([[1, 2, 3], [1j, 2j, 3j]]) + res = np.array([[1., -1.j], [1.j, 1.]]) + assert_allclose(cov(x), res) + assert_allclose(cov(x, aweights=np.ones(3)), res) + + def test_xy(self): + x = np.array([[1, 2, 3]]) + y = np.array([[1j, 2j, 3j]]) + assert_allclose(cov(x, y), np.array([[1., -1.j], [1.j, 1.]])) + + def test_empty(self): + with warnings.catch_warnings(record=True): + warnings.simplefilter('always', RuntimeWarning) + assert_array_equal(cov(np.array([])), np.nan) + assert_array_equal(cov(np.array([]).reshape(0, 2)), + np.array([]).reshape(0, 0)) + assert_array_equal(cov(np.array([]).reshape(2, 0)), + np.array([[np.nan, np.nan], [np.nan, np.nan]])) + + def test_wrong_ddof(self): + with warnings.catch_warnings(record=True): + warnings.simplefilter('always', RuntimeWarning) + assert_array_equal(cov(self.x1, ddof=5), + np.array([[np.inf, -np.inf], + [-np.inf, np.inf]])) + + def test_1D_rowvar(self): + assert_allclose(cov(self.x3), cov(self.x3, rowvar=False)) + y = np.array([0.0780, 0.3107, 0.2111, 0.0334, 0.8501]) + assert_allclose(cov(self.x3, y), cov(self.x3, y, rowvar=False)) + + def test_1D_variance(self): + assert_allclose(cov(self.x3, ddof=1), np.var(self.x3, ddof=1)) + + def test_fweights(self): + assert_allclose(cov(self.x2, fweights=self.frequencies), + cov(self.x2_repeats)) + assert_allclose(cov(self.x1, fweights=self.frequencies), + self.res2) + assert_allclose(cov(self.x1, fweights=self.unit_frequencies), + self.res1) + nonint = self.frequencies + 0.5 + assert_raises(TypeError, cov, self.x1, fweights=nonint) + f = np.ones((2, 3), dtype=np.int_) + assert_raises(RuntimeError, cov, self.x1, fweights=f) + f = np.ones(2, dtype=np.int_) + assert_raises(RuntimeError, cov, self.x1, fweights=f) + f = -1 * np.ones(3, dtype=np.int_) + assert_raises(ValueError, cov, self.x1, fweights=f) + + def test_aweights(self): + assert_allclose(cov(self.x1, aweights=self.weights), self.res3) + assert_allclose(cov(self.x1, aweights=3.0 * self.weights), + cov(self.x1, aweights=self.weights)) + assert_allclose(cov(self.x1, aweights=self.unit_weights), self.res1) + w = np.ones((2, 3)) + assert_raises(RuntimeError, cov, self.x1, aweights=w) + w = np.ones(2) + assert_raises(RuntimeError, cov, self.x1, aweights=w) + w = -1.0 * np.ones(3) + assert_raises(ValueError, cov, self.x1, aweights=w) + + def test_unit_fweights_and_aweights(self): + assert_allclose(cov(self.x2, fweights=self.frequencies, + aweights=self.unit_weights), + cov(self.x2_repeats)) + assert_allclose(cov(self.x1, fweights=self.frequencies, + aweights=self.unit_weights), + self.res2) + assert_allclose(cov(self.x1, fweights=self.unit_frequencies, + aweights=self.unit_weights), + self.res1) + assert_allclose(cov(self.x1, fweights=self.unit_frequencies, + aweights=self.weights), + self.res3) + assert_allclose(cov(self.x1, fweights=self.unit_frequencies, + aweights=3.0 * self.weights), + cov(self.x1, aweights=self.weights)) + assert_allclose(cov(self.x1, fweights=self.unit_frequencies, + aweights=self.unit_weights), + self.res1) + + @pytest.mark.parametrize("test_type", [np.half, np.single, np.double, np.longdouble]) + def test_cov_dtype(self, test_type): + cast_x1 = self.x1.astype(test_type) + res = cov(cast_x1, dtype=test_type) + assert test_type == res.dtype + + +class Test_I0: + + def test_simple(self): + assert_almost_equal( + i0(0.5), + np.array(1.0634833707413234)) + + # need at least one test above 8, as the implementation is piecewise + A = np.array([0.49842636, 0.6969809, 0.22011976, 0.0155549, 10.0]) + expected = np.array([1.06307822, 1.12518299, 1.01214991, 1.00006049, 2815.71662847]) + assert_almost_equal(i0(A), expected) + assert_almost_equal(i0(-A), expected) + + B = np.array([[0.827002, 0.99959078], + [0.89694769, 0.39298162], + [0.37954418, 0.05206293], + [0.36465447, 0.72446427], + [0.48164949, 0.50324519]]) + assert_almost_equal( + i0(B), + np.array([[1.17843223, 1.26583466], + [1.21147086, 1.03898290], + [1.03633899, 1.00067775], + [1.03352052, 1.13557954], + [1.05884290, 1.06432317]])) + # Regression test for gh-11205 + i0_0 = np.i0([0.]) + assert_equal(i0_0.shape, (1,)) + assert_array_equal(np.i0([0.]), np.array([1.])) + + def test_non_array(self): + a = np.arange(4) + + class array_like: + __array_interface__ = a.__array_interface__ + + def __array_wrap__(self, arr): + return self + + # E.g. pandas series survive ufunc calls through array-wrap: + assert isinstance(np.abs(array_like()), array_like) + exp = np.i0(a) + res = np.i0(array_like()) + + assert_array_equal(exp, res) + + def test_complex(self): + a = np.array([0, 1 + 2j]) + with pytest.raises(TypeError, match="i0 not supported for complex values"): + res = i0(a) + + +class TestKaiser: + + def test_simple(self): + assert_(np.isfinite(kaiser(1, 1.0))) + assert_almost_equal(kaiser(0, 1.0), + np.array([])) + assert_almost_equal(kaiser(2, 1.0), + np.array([0.78984831, 0.78984831])) + assert_almost_equal(kaiser(5, 1.0), + np.array([0.78984831, 0.94503323, 1., + 0.94503323, 0.78984831])) + assert_almost_equal(kaiser(5, 1.56789), + np.array([0.58285404, 0.88409679, 1., + 0.88409679, 0.58285404])) + + def test_int_beta(self): + kaiser(3, 4) + + +class TestMsort: + + def test_simple(self): + A = np.array([[0.44567325, 0.79115165, 0.54900530], + [0.36844147, 0.37325583, 0.96098397], + [0.64864341, 0.52929049, 0.39172155]]) + with pytest.warns(DeprecationWarning, match="msort is deprecated"): + assert_almost_equal( + msort(A), + np.array([[0.36844147, 0.37325583, 0.39172155], + [0.44567325, 0.52929049, 0.54900530], + [0.64864341, 0.79115165, 0.96098397]])) + + +class TestMeshgrid: + + def test_simple(self): + [X, Y] = meshgrid([1, 2, 3], [4, 5, 6, 7]) + assert_array_equal(X, np.array([[1, 2, 3], + [1, 2, 3], + [1, 2, 3], + [1, 2, 3]])) + assert_array_equal(Y, np.array([[4, 4, 4], + [5, 5, 5], + [6, 6, 6], + [7, 7, 7]])) + + def test_single_input(self): + [X] = meshgrid([1, 2, 3, 4]) + assert_array_equal(X, np.array([1, 2, 3, 4])) + + def test_no_input(self): + args = [] + assert_array_equal([], meshgrid(*args)) + assert_array_equal([], meshgrid(*args, copy=False)) + + def test_indexing(self): + x = [1, 2, 3] + y = [4, 5, 6, 7] + [X, Y] = meshgrid(x, y, indexing='ij') + assert_array_equal(X, np.array([[1, 1, 1, 1], + [2, 2, 2, 2], + [3, 3, 3, 3]])) + assert_array_equal(Y, np.array([[4, 5, 6, 7], + [4, 5, 6, 7], + [4, 5, 6, 7]])) + + # Test expected shapes: + z = [8, 9] + assert_(meshgrid(x, y)[0].shape == (4, 3)) + assert_(meshgrid(x, y, indexing='ij')[0].shape == (3, 4)) + assert_(meshgrid(x, y, z)[0].shape == (4, 3, 2)) + assert_(meshgrid(x, y, z, indexing='ij')[0].shape == (3, 4, 2)) + + assert_raises(ValueError, meshgrid, x, y, indexing='notvalid') + + def test_sparse(self): + [X, Y] = meshgrid([1, 2, 3], [4, 5, 6, 7], sparse=True) + assert_array_equal(X, np.array([[1, 2, 3]])) + assert_array_equal(Y, np.array([[4], [5], [6], [7]])) + + def test_invalid_arguments(self): + # Test that meshgrid complains about invalid arguments + # Regression test for issue #4755: + # https://github.com/numpy/numpy/issues/4755 + assert_raises(TypeError, meshgrid, + [1, 2, 3], [4, 5, 6, 7], indices='ij') + + def test_return_type(self): + # Test for appropriate dtype in returned arrays. + # Regression test for issue #5297 + # https://github.com/numpy/numpy/issues/5297 + x = np.arange(0, 10, dtype=np.float32) + y = np.arange(10, 20, dtype=np.float64) + + X, Y = np.meshgrid(x,y) + + assert_(X.dtype == x.dtype) + assert_(Y.dtype == y.dtype) + + # copy + X, Y = np.meshgrid(x,y, copy=True) + + assert_(X.dtype == x.dtype) + assert_(Y.dtype == y.dtype) + + # sparse + X, Y = np.meshgrid(x,y, sparse=True) + + assert_(X.dtype == x.dtype) + assert_(Y.dtype == y.dtype) + + def test_writeback(self): + # Issue 8561 + X = np.array([1.1, 2.2]) + Y = np.array([3.3, 4.4]) + x, y = np.meshgrid(X, Y, sparse=False, copy=True) + + x[0, :] = 0 + assert_equal(x[0, :], 0) + assert_equal(x[1, :], X) + + def test_nd_shape(self): + a, b, c, d, e = np.meshgrid(*([0] * i for i in range(1, 6))) + expected_shape = (2, 1, 3, 4, 5) + assert_equal(a.shape, expected_shape) + assert_equal(b.shape, expected_shape) + assert_equal(c.shape, expected_shape) + assert_equal(d.shape, expected_shape) + assert_equal(e.shape, expected_shape) + + def test_nd_values(self): + a, b, c = np.meshgrid([0], [1, 2], [3, 4, 5]) + assert_equal(a, [[[0, 0, 0]], [[0, 0, 0]]]) + assert_equal(b, [[[1, 1, 1]], [[2, 2, 2]]]) + assert_equal(c, [[[3, 4, 5]], [[3, 4, 5]]]) + + def test_nd_indexing(self): + a, b, c = np.meshgrid([0], [1, 2], [3, 4, 5], indexing='ij') + assert_equal(a, [[[0, 0, 0], [0, 0, 0]]]) + assert_equal(b, [[[1, 1, 1], [2, 2, 2]]]) + assert_equal(c, [[[3, 4, 5], [3, 4, 5]]]) + + +class TestPiecewise: + + def test_simple(self): + # Condition is single bool list + x = piecewise([0, 0], [True, False], [1]) + assert_array_equal(x, [1, 0]) + + # List of conditions: single bool list + x = piecewise([0, 0], [[True, False]], [1]) + assert_array_equal(x, [1, 0]) + + # Conditions is single bool array + x = piecewise([0, 0], np.array([True, False]), [1]) + assert_array_equal(x, [1, 0]) + + # Condition is single int array + x = piecewise([0, 0], np.array([1, 0]), [1]) + assert_array_equal(x, [1, 0]) + + # List of conditions: int array + x = piecewise([0, 0], [np.array([1, 0])], [1]) + assert_array_equal(x, [1, 0]) + + x = piecewise([0, 0], [[False, True]], [lambda x:-1]) + assert_array_equal(x, [0, -1]) + + assert_raises_regex(ValueError, '1 or 2 functions are expected', + piecewise, [0, 0], [[False, True]], []) + assert_raises_regex(ValueError, '1 or 2 functions are expected', + piecewise, [0, 0], [[False, True]], [1, 2, 3]) + + def test_two_conditions(self): + x = piecewise([1, 2], [[True, False], [False, True]], [3, 4]) + assert_array_equal(x, [3, 4]) + + def test_scalar_domains_three_conditions(self): + x = piecewise(3, [True, False, False], [4, 2, 0]) + assert_equal(x, 4) + + def test_default(self): + # No value specified for x[1], should be 0 + x = piecewise([1, 2], [True, False], [2]) + assert_array_equal(x, [2, 0]) + + # Should set x[1] to 3 + x = piecewise([1, 2], [True, False], [2, 3]) + assert_array_equal(x, [2, 3]) + + def test_0d(self): + x = np.array(3) + y = piecewise(x, x > 3, [4, 0]) + assert_(y.ndim == 0) + assert_(y == 0) + + x = 5 + y = piecewise(x, [True, False], [1, 0]) + assert_(y.ndim == 0) + assert_(y == 1) + + # With 3 ranges (It was failing, before) + y = piecewise(x, [False, False, True], [1, 2, 3]) + assert_array_equal(y, 3) + + def test_0d_comparison(self): + x = 3 + y = piecewise(x, [x <= 3, x > 3], [4, 0]) # Should succeed. + assert_equal(y, 4) + + # With 3 ranges (It was failing, before) + x = 4 + y = piecewise(x, [x <= 3, (x > 3) * (x <= 5), x > 5], [1, 2, 3]) + assert_array_equal(y, 2) + + assert_raises_regex(ValueError, '2 or 3 functions are expected', + piecewise, x, [x <= 3, x > 3], [1]) + assert_raises_regex(ValueError, '2 or 3 functions are expected', + piecewise, x, [x <= 3, x > 3], [1, 1, 1, 1]) + + def test_0d_0d_condition(self): + x = np.array(3) + c = np.array(x > 3) + y = piecewise(x, [c], [1, 2]) + assert_equal(y, 2) + + def test_multidimensional_extrafunc(self): + x = np.array([[-2.5, -1.5, -0.5], + [0.5, 1.5, 2.5]]) + y = piecewise(x, [x < 0, x >= 2], [-1, 1, 3]) + assert_array_equal(y, np.array([[-1., -1., -1.], + [3., 3., 1.]])) + + def test_subclasses(self): + class subclass(np.ndarray): + pass + x = np.arange(5.).view(subclass) + r = piecewise(x, [x<2., x>=4], [-1., 1., 0.]) + assert_equal(type(r), subclass) + assert_equal(r, [-1., -1., 0., 0., 1.]) + + +class TestBincount: + + def test_simple(self): + y = np.bincount(np.arange(4)) + assert_array_equal(y, np.ones(4)) + + def test_simple2(self): + y = np.bincount(np.array([1, 5, 2, 4, 1])) + assert_array_equal(y, np.array([0, 2, 1, 0, 1, 1])) + + def test_simple_weight(self): + x = np.arange(4) + w = np.array([0.2, 0.3, 0.5, 0.1]) + y = np.bincount(x, w) + assert_array_equal(y, w) + + def test_simple_weight2(self): + x = np.array([1, 2, 4, 5, 2]) + w = np.array([0.2, 0.3, 0.5, 0.1, 0.2]) + y = np.bincount(x, w) + assert_array_equal(y, np.array([0, 0.2, 0.5, 0, 0.5, 0.1])) + + def test_with_minlength(self): + x = np.array([0, 1, 0, 1, 1]) + y = np.bincount(x, minlength=3) + assert_array_equal(y, np.array([2, 3, 0])) + x = [] + y = np.bincount(x, minlength=0) + assert_array_equal(y, np.array([])) + + def test_with_minlength_smaller_than_maxvalue(self): + x = np.array([0, 1, 1, 2, 2, 3, 3]) + y = np.bincount(x, minlength=2) + assert_array_equal(y, np.array([1, 2, 2, 2])) + y = np.bincount(x, minlength=0) + assert_array_equal(y, np.array([1, 2, 2, 2])) + + def test_with_minlength_and_weights(self): + x = np.array([1, 2, 4, 5, 2]) + w = np.array([0.2, 0.3, 0.5, 0.1, 0.2]) + y = np.bincount(x, w, 8) + assert_array_equal(y, np.array([0, 0.2, 0.5, 0, 0.5, 0.1, 0, 0])) + + def test_empty(self): + x = np.array([], dtype=int) + y = np.bincount(x) + assert_array_equal(x, y) + + def test_empty_with_minlength(self): + x = np.array([], dtype=int) + y = np.bincount(x, minlength=5) + assert_array_equal(y, np.zeros(5, dtype=int)) + + def test_with_incorrect_minlength(self): + x = np.array([], dtype=int) + assert_raises_regex(TypeError, + "'str' object cannot be interpreted", + lambda: np.bincount(x, minlength="foobar")) + assert_raises_regex(ValueError, + "must not be negative", + lambda: np.bincount(x, minlength=-1)) + + x = np.arange(5) + assert_raises_regex(TypeError, + "'str' object cannot be interpreted", + lambda: np.bincount(x, minlength="foobar")) + assert_raises_regex(ValueError, + "must not be negative", + lambda: np.bincount(x, minlength=-1)) + + @pytest.mark.skipif(not HAS_REFCOUNT, reason="Python lacks refcounts") + def test_dtype_reference_leaks(self): + # gh-6805 + intp_refcount = sys.getrefcount(np.dtype(np.intp)) + double_refcount = sys.getrefcount(np.dtype(np.double)) + + for j in range(10): + np.bincount([1, 2, 3]) + assert_equal(sys.getrefcount(np.dtype(np.intp)), intp_refcount) + assert_equal(sys.getrefcount(np.dtype(np.double)), double_refcount) + + for j in range(10): + np.bincount([1, 2, 3], [4, 5, 6]) + assert_equal(sys.getrefcount(np.dtype(np.intp)), intp_refcount) + assert_equal(sys.getrefcount(np.dtype(np.double)), double_refcount) + + @pytest.mark.parametrize("vals", [[[2, 2]], 2]) + def test_error_not_1d(self, vals): + # Test that values has to be 1-D (both as array and nested list) + vals_arr = np.asarray(vals) + with assert_raises(ValueError): + np.bincount(vals_arr) + with assert_raises(ValueError): + np.bincount(vals) + + +class TestInterp: + + def test_exceptions(self): + assert_raises(ValueError, interp, 0, [], []) + assert_raises(ValueError, interp, 0, [0], [1, 2]) + assert_raises(ValueError, interp, 0, [0, 1], [1, 2], period=0) + assert_raises(ValueError, interp, 0, [], [], period=360) + assert_raises(ValueError, interp, 0, [0], [1, 2], period=360) + + def test_basic(self): + x = np.linspace(0, 1, 5) + y = np.linspace(0, 1, 5) + x0 = np.linspace(0, 1, 50) + assert_almost_equal(np.interp(x0, x, y), x0) + + def test_right_left_behavior(self): + # Needs range of sizes to test different code paths. + # size ==1 is special cased, 1 < size < 5 is linear search, and + # size >= 5 goes through local search and possibly binary search. + for size in range(1, 10): + xp = np.arange(size, dtype=np.double) + yp = np.ones(size, dtype=np.double) + incpts = np.array([-1, 0, size - 1, size], dtype=np.double) + decpts = incpts[::-1] + + incres = interp(incpts, xp, yp) + decres = interp(decpts, xp, yp) + inctgt = np.array([1, 1, 1, 1], dtype=float) + dectgt = inctgt[::-1] + assert_equal(incres, inctgt) + assert_equal(decres, dectgt) + + incres = interp(incpts, xp, yp, left=0) + decres = interp(decpts, xp, yp, left=0) + inctgt = np.array([0, 1, 1, 1], dtype=float) + dectgt = inctgt[::-1] + assert_equal(incres, inctgt) + assert_equal(decres, dectgt) + + incres = interp(incpts, xp, yp, right=2) + decres = interp(decpts, xp, yp, right=2) + inctgt = np.array([1, 1, 1, 2], dtype=float) + dectgt = inctgt[::-1] + assert_equal(incres, inctgt) + assert_equal(decres, dectgt) + + incres = interp(incpts, xp, yp, left=0, right=2) + decres = interp(decpts, xp, yp, left=0, right=2) + inctgt = np.array([0, 1, 1, 2], dtype=float) + dectgt = inctgt[::-1] + assert_equal(incres, inctgt) + assert_equal(decres, dectgt) + + def test_scalar_interpolation_point(self): + x = np.linspace(0, 1, 5) + y = np.linspace(0, 1, 5) + x0 = 0 + assert_almost_equal(np.interp(x0, x, y), x0) + x0 = .3 + assert_almost_equal(np.interp(x0, x, y), x0) + x0 = np.float32(.3) + assert_almost_equal(np.interp(x0, x, y), x0) + x0 = np.float64(.3) + assert_almost_equal(np.interp(x0, x, y), x0) + x0 = np.nan + assert_almost_equal(np.interp(x0, x, y), x0) + + def test_non_finite_behavior_exact_x(self): + x = [1, 2, 2.5, 3, 4] + xp = [1, 2, 3, 4] + fp = [1, 2, np.inf, 4] + assert_almost_equal(np.interp(x, xp, fp), [1, 2, np.inf, np.inf, 4]) + fp = [1, 2, np.nan, 4] + assert_almost_equal(np.interp(x, xp, fp), [1, 2, np.nan, np.nan, 4]) + + @pytest.fixture(params=[ + lambda x: np.float_(x), + lambda x: _make_complex(x, 0), + lambda x: _make_complex(0, x), + lambda x: _make_complex(x, np.multiply(x, -2)) + ], ids=[ + 'real', + 'complex-real', + 'complex-imag', + 'complex-both' + ]) + def sc(self, request): + """ scale function used by the below tests """ + return request.param + + def test_non_finite_any_nan(self, sc): + """ test that nans are propagated """ + assert_equal(np.interp(0.5, [np.nan, 1], sc([ 0, 10])), sc(np.nan)) + assert_equal(np.interp(0.5, [ 0, np.nan], sc([ 0, 10])), sc(np.nan)) + assert_equal(np.interp(0.5, [ 0, 1], sc([np.nan, 10])), sc(np.nan)) + assert_equal(np.interp(0.5, [ 0, 1], sc([ 0, np.nan])), sc(np.nan)) + + def test_non_finite_inf(self, sc): + """ Test that interp between opposite infs gives nan """ + assert_equal(np.interp(0.5, [-np.inf, +np.inf], sc([ 0, 10])), sc(np.nan)) + assert_equal(np.interp(0.5, [ 0, 1], sc([-np.inf, +np.inf])), sc(np.nan)) + assert_equal(np.interp(0.5, [ 0, 1], sc([+np.inf, -np.inf])), sc(np.nan)) + + # unless the y values are equal + assert_equal(np.interp(0.5, [-np.inf, +np.inf], sc([ 10, 10])), sc(10)) + + def test_non_finite_half_inf_xf(self, sc): + """ Test that interp where both axes have a bound at inf gives nan """ + assert_equal(np.interp(0.5, [-np.inf, 1], sc([-np.inf, 10])), sc(np.nan)) + assert_equal(np.interp(0.5, [-np.inf, 1], sc([+np.inf, 10])), sc(np.nan)) + assert_equal(np.interp(0.5, [-np.inf, 1], sc([ 0, -np.inf])), sc(np.nan)) + assert_equal(np.interp(0.5, [-np.inf, 1], sc([ 0, +np.inf])), sc(np.nan)) + assert_equal(np.interp(0.5, [ 0, +np.inf], sc([-np.inf, 10])), sc(np.nan)) + assert_equal(np.interp(0.5, [ 0, +np.inf], sc([+np.inf, 10])), sc(np.nan)) + assert_equal(np.interp(0.5, [ 0, +np.inf], sc([ 0, -np.inf])), sc(np.nan)) + assert_equal(np.interp(0.5, [ 0, +np.inf], sc([ 0, +np.inf])), sc(np.nan)) + + def test_non_finite_half_inf_x(self, sc): + """ Test interp where the x axis has a bound at inf """ + assert_equal(np.interp(0.5, [-np.inf, -np.inf], sc([0, 10])), sc(10)) + assert_equal(np.interp(0.5, [-np.inf, 1 ], sc([0, 10])), sc(10)) + assert_equal(np.interp(0.5, [ 0, +np.inf], sc([0, 10])), sc(0)) + assert_equal(np.interp(0.5, [+np.inf, +np.inf], sc([0, 10])), sc(0)) + + def test_non_finite_half_inf_f(self, sc): + """ Test interp where the f axis has a bound at inf """ + assert_equal(np.interp(0.5, [0, 1], sc([ 0, -np.inf])), sc(-np.inf)) + assert_equal(np.interp(0.5, [0, 1], sc([ 0, +np.inf])), sc(+np.inf)) + assert_equal(np.interp(0.5, [0, 1], sc([-np.inf, 10])), sc(-np.inf)) + assert_equal(np.interp(0.5, [0, 1], sc([+np.inf, 10])), sc(+np.inf)) + assert_equal(np.interp(0.5, [0, 1], sc([-np.inf, -np.inf])), sc(-np.inf)) + assert_equal(np.interp(0.5, [0, 1], sc([+np.inf, +np.inf])), sc(+np.inf)) + + def test_complex_interp(self): + # test complex interpolation + x = np.linspace(0, 1, 5) + y = np.linspace(0, 1, 5) + (1 + np.linspace(0, 1, 5))*1.0j + x0 = 0.3 + y0 = x0 + (1+x0)*1.0j + assert_almost_equal(np.interp(x0, x, y), y0) + # test complex left and right + x0 = -1 + left = 2 + 3.0j + assert_almost_equal(np.interp(x0, x, y, left=left), left) + x0 = 2.0 + right = 2 + 3.0j + assert_almost_equal(np.interp(x0, x, y, right=right), right) + # test complex non finite + x = [1, 2, 2.5, 3, 4] + xp = [1, 2, 3, 4] + fp = [1, 2+1j, np.inf, 4] + y = [1, 2+1j, np.inf+0.5j, np.inf, 4] + assert_almost_equal(np.interp(x, xp, fp), y) + # test complex periodic + x = [-180, -170, -185, 185, -10, -5, 0, 365] + xp = [190, -190, 350, -350] + fp = [5+1.0j, 10+2j, 3+3j, 4+4j] + y = [7.5+1.5j, 5.+1.0j, 8.75+1.75j, 6.25+1.25j, 3.+3j, 3.25+3.25j, + 3.5+3.5j, 3.75+3.75j] + assert_almost_equal(np.interp(x, xp, fp, period=360), y) + + def test_zero_dimensional_interpolation_point(self): + x = np.linspace(0, 1, 5) + y = np.linspace(0, 1, 5) + x0 = np.array(.3) + assert_almost_equal(np.interp(x0, x, y), x0) + + xp = np.array([0, 2, 4]) + fp = np.array([1, -1, 1]) + + actual = np.interp(np.array(1), xp, fp) + assert_equal(actual, 0) + assert_(isinstance(actual, np.float64)) + + actual = np.interp(np.array(4.5), xp, fp, period=4) + assert_equal(actual, 0.5) + assert_(isinstance(actual, np.float64)) + + def test_if_len_x_is_small(self): + xp = np.arange(0, 10, 0.0001) + fp = np.sin(xp) + assert_almost_equal(np.interp(np.pi, xp, fp), 0.0) + + def test_period(self): + x = [-180, -170, -185, 185, -10, -5, 0, 365] + xp = [190, -190, 350, -350] + fp = [5, 10, 3, 4] + y = [7.5, 5., 8.75, 6.25, 3., 3.25, 3.5, 3.75] + assert_almost_equal(np.interp(x, xp, fp, period=360), y) + x = np.array(x, order='F').reshape(2, -1) + y = np.array(y, order='C').reshape(2, -1) + assert_almost_equal(np.interp(x, xp, fp, period=360), y) + + +class TestPercentile: + + def test_basic(self): + x = np.arange(8) * 0.5 + assert_equal(np.percentile(x, 0), 0.) + assert_equal(np.percentile(x, 100), 3.5) + assert_equal(np.percentile(x, 50), 1.75) + x[1] = np.nan + assert_equal(np.percentile(x, 0), np.nan) + assert_equal(np.percentile(x, 0, method='nearest'), np.nan) + + def test_fraction(self): + x = [Fraction(i, 2) for i in range(8)] + + p = np.percentile(x, Fraction(0)) + assert_equal(p, Fraction(0)) + assert_equal(type(p), Fraction) + + p = np.percentile(x, Fraction(100)) + assert_equal(p, Fraction(7, 2)) + assert_equal(type(p), Fraction) + + p = np.percentile(x, Fraction(50)) + assert_equal(p, Fraction(7, 4)) + assert_equal(type(p), Fraction) + + p = np.percentile(x, [Fraction(50)]) + assert_equal(p, np.array([Fraction(7, 4)])) + assert_equal(type(p), np.ndarray) + + def test_api(self): + d = np.ones(5) + np.percentile(d, 5, None, None, False) + np.percentile(d, 5, None, None, False, 'linear') + o = np.ones((1,)) + np.percentile(d, 5, None, o, False, 'linear') + + def test_complex(self): + arr_c = np.array([0.5+3.0j, 2.1+0.5j, 1.6+2.3j], dtype='G') + assert_raises(TypeError, np.percentile, arr_c, 0.5) + arr_c = np.array([0.5+3.0j, 2.1+0.5j, 1.6+2.3j], dtype='D') + assert_raises(TypeError, np.percentile, arr_c, 0.5) + arr_c = np.array([0.5+3.0j, 2.1+0.5j, 1.6+2.3j], dtype='F') + assert_raises(TypeError, np.percentile, arr_c, 0.5) + + def test_2D(self): + x = np.array([[1, 1, 1], + [1, 1, 1], + [4, 4, 3], + [1, 1, 1], + [1, 1, 1]]) + assert_array_equal(np.percentile(x, 50, axis=0), [1, 1, 1]) + + @pytest.mark.parametrize("dtype", np.typecodes["Float"]) + def test_linear_nan_1D(self, dtype): + # METHOD 1 of H&F + arr = np.asarray([15.0, np.NAN, 35.0, 40.0, 50.0], dtype=dtype) + res = np.percentile( + arr, + 40.0, + method="linear") + np.testing.assert_equal(res, np.NAN) + np.testing.assert_equal(res.dtype, arr.dtype) + + H_F_TYPE_CODES = [(int_type, np.float64) + for int_type in np.typecodes["AllInteger"] + ] + [(np.float16, np.float16), + (np.float32, np.float32), + (np.float64, np.float64), + (np.longdouble, np.longdouble), + (np.dtype("O"), np.float64)] + + @pytest.mark.parametrize(["input_dtype", "expected_dtype"], H_F_TYPE_CODES) + @pytest.mark.parametrize(["method", "expected"], + [("inverted_cdf", 20), + ("averaged_inverted_cdf", 27.5), + ("closest_observation", 20), + ("interpolated_inverted_cdf", 20), + ("hazen", 27.5), + ("weibull", 26), + ("linear", 29), + ("median_unbiased", 27), + ("normal_unbiased", 27.125), + ]) + def test_linear_interpolation(self, + method, + expected, + input_dtype, + expected_dtype): + expected_dtype = np.dtype(expected_dtype) + if np._get_promotion_state() == "legacy": + expected_dtype = np.promote_types(expected_dtype, np.float64) + + arr = np.asarray([15.0, 20.0, 35.0, 40.0, 50.0], dtype=input_dtype) + actual = np.percentile(arr, 40.0, method=method) + + np.testing.assert_almost_equal( + actual, expected_dtype.type(expected), 14) + + if method in ["inverted_cdf", "closest_observation"]: + if input_dtype == "O": + np.testing.assert_equal(np.asarray(actual).dtype, np.float64) + else: + np.testing.assert_equal(np.asarray(actual).dtype, + np.dtype(input_dtype)) + else: + np.testing.assert_equal(np.asarray(actual).dtype, + np.dtype(expected_dtype)) + + TYPE_CODES = np.typecodes["AllInteger"] + np.typecodes["Float"] + "O" + + @pytest.mark.parametrize("dtype", TYPE_CODES) + def test_lower_higher(self, dtype): + assert_equal(np.percentile(np.arange(10, dtype=dtype), 50, + method='lower'), 4) + assert_equal(np.percentile(np.arange(10, dtype=dtype), 50, + method='higher'), 5) + + @pytest.mark.parametrize("dtype", TYPE_CODES) + def test_midpoint(self, dtype): + assert_equal(np.percentile(np.arange(10, dtype=dtype), 51, + method='midpoint'), 4.5) + assert_equal(np.percentile(np.arange(9, dtype=dtype) + 1, 50, + method='midpoint'), 5) + assert_equal(np.percentile(np.arange(11, dtype=dtype), 51, + method='midpoint'), 5.5) + assert_equal(np.percentile(np.arange(11, dtype=dtype), 50, + method='midpoint'), 5) + + @pytest.mark.parametrize("dtype", TYPE_CODES) + def test_nearest(self, dtype): + assert_equal(np.percentile(np.arange(10, dtype=dtype), 51, + method='nearest'), 5) + assert_equal(np.percentile(np.arange(10, dtype=dtype), 49, + method='nearest'), 4) + + def test_linear_interpolation_extrapolation(self): + arr = np.random.rand(5) + + actual = np.percentile(arr, 100) + np.testing.assert_equal(actual, arr.max()) + + actual = np.percentile(arr, 0) + np.testing.assert_equal(actual, arr.min()) + + def test_sequence(self): + x = np.arange(8) * 0.5 + assert_equal(np.percentile(x, [0, 100, 50]), [0, 3.5, 1.75]) + + def test_axis(self): + x = np.arange(12).reshape(3, 4) + + assert_equal(np.percentile(x, (25, 50, 100)), [2.75, 5.5, 11.0]) + + r0 = [[2, 3, 4, 5], [4, 5, 6, 7], [8, 9, 10, 11]] + assert_equal(np.percentile(x, (25, 50, 100), axis=0), r0) + + r1 = [[0.75, 1.5, 3], [4.75, 5.5, 7], [8.75, 9.5, 11]] + assert_equal(np.percentile(x, (25, 50, 100), axis=1), np.array(r1).T) + + # ensure qth axis is always first as with np.array(old_percentile(..)) + x = np.arange(3 * 4 * 5 * 6).reshape(3, 4, 5, 6) + assert_equal(np.percentile(x, (25, 50)).shape, (2,)) + assert_equal(np.percentile(x, (25, 50, 75)).shape, (3,)) + assert_equal(np.percentile(x, (25, 50), axis=0).shape, (2, 4, 5, 6)) + assert_equal(np.percentile(x, (25, 50), axis=1).shape, (2, 3, 5, 6)) + assert_equal(np.percentile(x, (25, 50), axis=2).shape, (2, 3, 4, 6)) + assert_equal(np.percentile(x, (25, 50), axis=3).shape, (2, 3, 4, 5)) + assert_equal( + np.percentile(x, (25, 50, 75), axis=1).shape, (3, 3, 5, 6)) + assert_equal(np.percentile(x, (25, 50), + method="higher").shape, (2,)) + assert_equal(np.percentile(x, (25, 50, 75), + method="higher").shape, (3,)) + assert_equal(np.percentile(x, (25, 50), axis=0, + method="higher").shape, (2, 4, 5, 6)) + assert_equal(np.percentile(x, (25, 50), axis=1, + method="higher").shape, (2, 3, 5, 6)) + assert_equal(np.percentile(x, (25, 50), axis=2, + method="higher").shape, (2, 3, 4, 6)) + assert_equal(np.percentile(x, (25, 50), axis=3, + method="higher").shape, (2, 3, 4, 5)) + assert_equal(np.percentile(x, (25, 50, 75), axis=1, + method="higher").shape, (3, 3, 5, 6)) + + def test_scalar_q(self): + # test for no empty dimensions for compatibility with old percentile + x = np.arange(12).reshape(3, 4) + assert_equal(np.percentile(x, 50), 5.5) + assert_(np.isscalar(np.percentile(x, 50))) + r0 = np.array([4., 5., 6., 7.]) + assert_equal(np.percentile(x, 50, axis=0), r0) + assert_equal(np.percentile(x, 50, axis=0).shape, r0.shape) + r1 = np.array([1.5, 5.5, 9.5]) + assert_almost_equal(np.percentile(x, 50, axis=1), r1) + assert_equal(np.percentile(x, 50, axis=1).shape, r1.shape) + + out = np.empty(1) + assert_equal(np.percentile(x, 50, out=out), 5.5) + assert_equal(out, 5.5) + out = np.empty(4) + assert_equal(np.percentile(x, 50, axis=0, out=out), r0) + assert_equal(out, r0) + out = np.empty(3) + assert_equal(np.percentile(x, 50, axis=1, out=out), r1) + assert_equal(out, r1) + + # test for no empty dimensions for compatibility with old percentile + x = np.arange(12).reshape(3, 4) + assert_equal(np.percentile(x, 50, method='lower'), 5.) + assert_(np.isscalar(np.percentile(x, 50))) + r0 = np.array([4., 5., 6., 7.]) + c0 = np.percentile(x, 50, method='lower', axis=0) + assert_equal(c0, r0) + assert_equal(c0.shape, r0.shape) + r1 = np.array([1., 5., 9.]) + c1 = np.percentile(x, 50, method='lower', axis=1) + assert_almost_equal(c1, r1) + assert_equal(c1.shape, r1.shape) + + out = np.empty((), dtype=x.dtype) + c = np.percentile(x, 50, method='lower', out=out) + assert_equal(c, 5) + assert_equal(out, 5) + out = np.empty(4, dtype=x.dtype) + c = np.percentile(x, 50, method='lower', axis=0, out=out) + assert_equal(c, r0) + assert_equal(out, r0) + out = np.empty(3, dtype=x.dtype) + c = np.percentile(x, 50, method='lower', axis=1, out=out) + assert_equal(c, r1) + assert_equal(out, r1) + + def test_exception(self): + assert_raises(ValueError, np.percentile, [1, 2], 56, + method='foobar') + assert_raises(ValueError, np.percentile, [1], 101) + assert_raises(ValueError, np.percentile, [1], -1) + assert_raises(ValueError, np.percentile, [1], list(range(50)) + [101]) + assert_raises(ValueError, np.percentile, [1], list(range(50)) + [-0.1]) + + def test_percentile_list(self): + assert_equal(np.percentile([1, 2, 3], 0), 1) + + def test_percentile_out(self): + x = np.array([1, 2, 3]) + y = np.zeros((3,)) + p = (1, 2, 3) + np.percentile(x, p, out=y) + assert_equal(np.percentile(x, p), y) + + x = np.array([[1, 2, 3], + [4, 5, 6]]) + + y = np.zeros((3, 3)) + np.percentile(x, p, axis=0, out=y) + assert_equal(np.percentile(x, p, axis=0), y) + + y = np.zeros((3, 2)) + np.percentile(x, p, axis=1, out=y) + assert_equal(np.percentile(x, p, axis=1), y) + + x = np.arange(12).reshape(3, 4) + # q.dim > 1, float + r0 = np.array([[2., 3., 4., 5.], [4., 5., 6., 7.]]) + out = np.empty((2, 4)) + assert_equal(np.percentile(x, (25, 50), axis=0, out=out), r0) + assert_equal(out, r0) + r1 = np.array([[0.75, 4.75, 8.75], [1.5, 5.5, 9.5]]) + out = np.empty((2, 3)) + assert_equal(np.percentile(x, (25, 50), axis=1, out=out), r1) + assert_equal(out, r1) + + # q.dim > 1, int + r0 = np.array([[0, 1, 2, 3], [4, 5, 6, 7]]) + out = np.empty((2, 4), dtype=x.dtype) + c = np.percentile(x, (25, 50), method='lower', axis=0, out=out) + assert_equal(c, r0) + assert_equal(out, r0) + r1 = np.array([[0, 4, 8], [1, 5, 9]]) + out = np.empty((2, 3), dtype=x.dtype) + c = np.percentile(x, (25, 50), method='lower', axis=1, out=out) + assert_equal(c, r1) + assert_equal(out, r1) + + def test_percentile_empty_dim(self): + # empty dims are preserved + d = np.arange(11 * 2).reshape(11, 1, 2, 1) + assert_array_equal(np.percentile(d, 50, axis=0).shape, (1, 2, 1)) + assert_array_equal(np.percentile(d, 50, axis=1).shape, (11, 2, 1)) + assert_array_equal(np.percentile(d, 50, axis=2).shape, (11, 1, 1)) + assert_array_equal(np.percentile(d, 50, axis=3).shape, (11, 1, 2)) + assert_array_equal(np.percentile(d, 50, axis=-1).shape, (11, 1, 2)) + assert_array_equal(np.percentile(d, 50, axis=-2).shape, (11, 1, 1)) + assert_array_equal(np.percentile(d, 50, axis=-3).shape, (11, 2, 1)) + assert_array_equal(np.percentile(d, 50, axis=-4).shape, (1, 2, 1)) + + assert_array_equal(np.percentile(d, 50, axis=2, + method='midpoint').shape, + (11, 1, 1)) + assert_array_equal(np.percentile(d, 50, axis=-2, + method='midpoint').shape, + (11, 1, 1)) + + assert_array_equal(np.array(np.percentile(d, [10, 50], axis=0)).shape, + (2, 1, 2, 1)) + assert_array_equal(np.array(np.percentile(d, [10, 50], axis=1)).shape, + (2, 11, 2, 1)) + assert_array_equal(np.array(np.percentile(d, [10, 50], axis=2)).shape, + (2, 11, 1, 1)) + assert_array_equal(np.array(np.percentile(d, [10, 50], axis=3)).shape, + (2, 11, 1, 2)) + + def test_percentile_no_overwrite(self): + a = np.array([2, 3, 4, 1]) + np.percentile(a, [50], overwrite_input=False) + assert_equal(a, np.array([2, 3, 4, 1])) + + a = np.array([2, 3, 4, 1]) + np.percentile(a, [50]) + assert_equal(a, np.array([2, 3, 4, 1])) + + def test_no_p_overwrite(self): + p = np.linspace(0., 100., num=5) + np.percentile(np.arange(100.), p, method="midpoint") + assert_array_equal(p, np.linspace(0., 100., num=5)) + p = np.linspace(0., 100., num=5).tolist() + np.percentile(np.arange(100.), p, method="midpoint") + assert_array_equal(p, np.linspace(0., 100., num=5).tolist()) + + def test_percentile_overwrite(self): + a = np.array([2, 3, 4, 1]) + b = np.percentile(a, [50], overwrite_input=True) + assert_equal(b, np.array([2.5])) + + b = np.percentile([2, 3, 4, 1], [50], overwrite_input=True) + assert_equal(b, np.array([2.5])) + + def test_extended_axis(self): + o = np.random.normal(size=(71, 23)) + x = np.dstack([o] * 10) + assert_equal(np.percentile(x, 30, axis=(0, 1)), np.percentile(o, 30)) + x = np.moveaxis(x, -1, 0) + assert_equal(np.percentile(x, 30, axis=(-2, -1)), np.percentile(o, 30)) + x = x.swapaxes(0, 1).copy() + assert_equal(np.percentile(x, 30, axis=(0, -1)), np.percentile(o, 30)) + x = x.swapaxes(0, 1).copy() + + assert_equal(np.percentile(x, [25, 60], axis=(0, 1, 2)), + np.percentile(x, [25, 60], axis=None)) + assert_equal(np.percentile(x, [25, 60], axis=(0,)), + np.percentile(x, [25, 60], axis=0)) + + d = np.arange(3 * 5 * 7 * 11).reshape((3, 5, 7, 11)) + np.random.shuffle(d.ravel()) + assert_equal(np.percentile(d, 25, axis=(0, 1, 2))[0], + np.percentile(d[:,:,:, 0].flatten(), 25)) + assert_equal(np.percentile(d, [10, 90], axis=(0, 1, 3))[:, 1], + np.percentile(d[:,:, 1,:].flatten(), [10, 90])) + assert_equal(np.percentile(d, 25, axis=(3, 1, -4))[2], + np.percentile(d[:,:, 2,:].flatten(), 25)) + assert_equal(np.percentile(d, 25, axis=(3, 1, 2))[2], + np.percentile(d[2,:,:,:].flatten(), 25)) + assert_equal(np.percentile(d, 25, axis=(3, 2))[2, 1], + np.percentile(d[2, 1,:,:].flatten(), 25)) + assert_equal(np.percentile(d, 25, axis=(1, -2))[2, 1], + np.percentile(d[2,:,:, 1].flatten(), 25)) + assert_equal(np.percentile(d, 25, axis=(1, 3))[2, 2], + np.percentile(d[2,:, 2,:].flatten(), 25)) + + def test_extended_axis_invalid(self): + d = np.ones((3, 5, 7, 11)) + assert_raises(np.AxisError, np.percentile, d, axis=-5, q=25) + assert_raises(np.AxisError, np.percentile, d, axis=(0, -5), q=25) + assert_raises(np.AxisError, np.percentile, d, axis=4, q=25) + assert_raises(np.AxisError, np.percentile, d, axis=(0, 4), q=25) + # each of these refers to the same axis twice + assert_raises(ValueError, np.percentile, d, axis=(1, 1), q=25) + assert_raises(ValueError, np.percentile, d, axis=(-1, -1), q=25) + assert_raises(ValueError, np.percentile, d, axis=(3, -1), q=25) + + def test_keepdims(self): + d = np.ones((3, 5, 7, 11)) + assert_equal(np.percentile(d, 7, axis=None, keepdims=True).shape, + (1, 1, 1, 1)) + assert_equal(np.percentile(d, 7, axis=(0, 1), keepdims=True).shape, + (1, 1, 7, 11)) + assert_equal(np.percentile(d, 7, axis=(0, 3), keepdims=True).shape, + (1, 5, 7, 1)) + assert_equal(np.percentile(d, 7, axis=(1,), keepdims=True).shape, + (3, 1, 7, 11)) + assert_equal(np.percentile(d, 7, (0, 1, 2, 3), keepdims=True).shape, + (1, 1, 1, 1)) + assert_equal(np.percentile(d, 7, axis=(0, 1, 3), keepdims=True).shape, + (1, 1, 7, 1)) + + assert_equal(np.percentile(d, [1, 7], axis=(0, 1, 3), + keepdims=True).shape, (2, 1, 1, 7, 1)) + assert_equal(np.percentile(d, [1, 7], axis=(0, 3), + keepdims=True).shape, (2, 1, 5, 7, 1)) + + @pytest.mark.parametrize('q', [7, [1, 7]]) + @pytest.mark.parametrize( + argnames='axis', + argvalues=[ + None, + 1, + (1,), + (0, 1), + (-3, -1), + ] + ) + def test_keepdims_out(self, q, axis): + d = np.ones((3, 5, 7, 11)) + if axis is None: + shape_out = (1,) * d.ndim + else: + axis_norm = normalize_axis_tuple(axis, d.ndim) + shape_out = tuple( + 1 if i in axis_norm else d.shape[i] for i in range(d.ndim)) + shape_out = np.shape(q) + shape_out + + out = np.empty(shape_out) + result = np.percentile(d, q, axis=axis, keepdims=True, out=out) + assert result is out + assert_equal(result.shape, shape_out) + + def test_out(self): + o = np.zeros((4,)) + d = np.ones((3, 4)) + assert_equal(np.percentile(d, 0, 0, out=o), o) + assert_equal(np.percentile(d, 0, 0, method='nearest', out=o), o) + o = np.zeros((3,)) + assert_equal(np.percentile(d, 1, 1, out=o), o) + assert_equal(np.percentile(d, 1, 1, method='nearest', out=o), o) + + o = np.zeros(()) + assert_equal(np.percentile(d, 2, out=o), o) + assert_equal(np.percentile(d, 2, method='nearest', out=o), o) + + def test_out_nan(self): + with warnings.catch_warnings(record=True): + warnings.filterwarnings('always', '', RuntimeWarning) + o = np.zeros((4,)) + d = np.ones((3, 4)) + d[2, 1] = np.nan + assert_equal(np.percentile(d, 0, 0, out=o), o) + assert_equal( + np.percentile(d, 0, 0, method='nearest', out=o), o) + o = np.zeros((3,)) + assert_equal(np.percentile(d, 1, 1, out=o), o) + assert_equal( + np.percentile(d, 1, 1, method='nearest', out=o), o) + o = np.zeros(()) + assert_equal(np.percentile(d, 1, out=o), o) + assert_equal( + np.percentile(d, 1, method='nearest', out=o), o) + + def test_nan_behavior(self): + a = np.arange(24, dtype=float) + a[2] = np.nan + assert_equal(np.percentile(a, 0.3), np.nan) + assert_equal(np.percentile(a, 0.3, axis=0), np.nan) + assert_equal(np.percentile(a, [0.3, 0.6], axis=0), + np.array([np.nan] * 2)) + + a = np.arange(24, dtype=float).reshape(2, 3, 4) + a[1, 2, 3] = np.nan + a[1, 1, 2] = np.nan + + # no axis + assert_equal(np.percentile(a, 0.3), np.nan) + assert_equal(np.percentile(a, 0.3).ndim, 0) + + # axis0 zerod + b = np.percentile(np.arange(24, dtype=float).reshape(2, 3, 4), 0.3, 0) + b[2, 3] = np.nan + b[1, 2] = np.nan + assert_equal(np.percentile(a, 0.3, 0), b) + + # axis0 not zerod + b = np.percentile(np.arange(24, dtype=float).reshape(2, 3, 4), + [0.3, 0.6], 0) + b[:, 2, 3] = np.nan + b[:, 1, 2] = np.nan + assert_equal(np.percentile(a, [0.3, 0.6], 0), b) + + # axis1 zerod + b = np.percentile(np.arange(24, dtype=float).reshape(2, 3, 4), 0.3, 1) + b[1, 3] = np.nan + b[1, 2] = np.nan + assert_equal(np.percentile(a, 0.3, 1), b) + # axis1 not zerod + b = np.percentile( + np.arange(24, dtype=float).reshape(2, 3, 4), [0.3, 0.6], 1) + b[:, 1, 3] = np.nan + b[:, 1, 2] = np.nan + assert_equal(np.percentile(a, [0.3, 0.6], 1), b) + + # axis02 zerod + b = np.percentile( + np.arange(24, dtype=float).reshape(2, 3, 4), 0.3, (0, 2)) + b[1] = np.nan + b[2] = np.nan + assert_equal(np.percentile(a, 0.3, (0, 2)), b) + # axis02 not zerod + b = np.percentile(np.arange(24, dtype=float).reshape(2, 3, 4), + [0.3, 0.6], (0, 2)) + b[:, 1] = np.nan + b[:, 2] = np.nan + assert_equal(np.percentile(a, [0.3, 0.6], (0, 2)), b) + # axis02 not zerod with method='nearest' + b = np.percentile(np.arange(24, dtype=float).reshape(2, 3, 4), + [0.3, 0.6], (0, 2), method='nearest') + b[:, 1] = np.nan + b[:, 2] = np.nan + assert_equal(np.percentile( + a, [0.3, 0.6], (0, 2), method='nearest'), b) + + def test_nan_q(self): + # GH18830 + with pytest.raises(ValueError, match="Percentiles must be in"): + np.percentile([1, 2, 3, 4.0], np.nan) + with pytest.raises(ValueError, match="Percentiles must be in"): + np.percentile([1, 2, 3, 4.0], [np.nan]) + q = np.linspace(1.0, 99.0, 16) + q[0] = np.nan + with pytest.raises(ValueError, match="Percentiles must be in"): + np.percentile([1, 2, 3, 4.0], q) + + @pytest.mark.parametrize("dtype", ["m8[D]", "M8[s]"]) + @pytest.mark.parametrize("pos", [0, 23, 10]) + def test_nat_basic(self, dtype, pos): + # TODO: Note that times have dubious rounding as of fixing NaTs! + # NaT and NaN should behave the same, do basic tests for NaT: + a = np.arange(0, 24, dtype=dtype) + a[pos] = "NaT" + res = np.percentile(a, 30) + assert res.dtype == dtype + assert np.isnat(res) + res = np.percentile(a, [30, 60]) + assert res.dtype == dtype + assert np.isnat(res).all() + + a = np.arange(0, 24*3, dtype=dtype).reshape(-1, 3) + a[pos, 1] = "NaT" + res = np.percentile(a, 30, axis=0) + assert_array_equal(np.isnat(res), [False, True, False]) + + +quantile_methods = [ + 'inverted_cdf', 'averaged_inverted_cdf', 'closest_observation', + 'interpolated_inverted_cdf', 'hazen', 'weibull', 'linear', + 'median_unbiased', 'normal_unbiased', 'nearest', 'lower', 'higher', + 'midpoint'] + + +class TestQuantile: + # most of this is already tested by TestPercentile + + def V(self, x, y, alpha): + # Identification function used in several tests. + return (x >= y) - alpha + + def test_max_ulp(self): + x = [0.0, 0.2, 0.4] + a = np.quantile(x, 0.45) + # The default linear method would result in 0 + 0.2 * (0.45/2) = 0.18. + # 0.18 is not exactly representable and the formula leads to a 1 ULP + # different result. Ensure it is this exact within 1 ULP, see gh-20331. + np.testing.assert_array_max_ulp(a, 0.18, maxulp=1) + + def test_basic(self): + x = np.arange(8) * 0.5 + assert_equal(np.quantile(x, 0), 0.) + assert_equal(np.quantile(x, 1), 3.5) + assert_equal(np.quantile(x, 0.5), 1.75) + + def test_correct_quantile_value(self): + a = np.array([True]) + tf_quant = np.quantile(True, False) + assert_equal(tf_quant, a[0]) + assert_equal(type(tf_quant), a.dtype) + a = np.array([False, True, True]) + quant_res = np.quantile(a, a) + assert_array_equal(quant_res, a) + assert_equal(quant_res.dtype, a.dtype) + + def test_fraction(self): + # fractional input, integral quantile + x = [Fraction(i, 2) for i in range(8)] + q = np.quantile(x, 0) + assert_equal(q, 0) + assert_equal(type(q), Fraction) + + q = np.quantile(x, 1) + assert_equal(q, Fraction(7, 2)) + assert_equal(type(q), Fraction) + + q = np.quantile(x, .5) + assert_equal(q, 1.75) + assert_equal(type(q), np.float64) + + q = np.quantile(x, Fraction(1, 2)) + assert_equal(q, Fraction(7, 4)) + assert_equal(type(q), Fraction) + + q = np.quantile(x, [Fraction(1, 2)]) + assert_equal(q, np.array([Fraction(7, 4)])) + assert_equal(type(q), np.ndarray) + + q = np.quantile(x, [[Fraction(1, 2)]]) + assert_equal(q, np.array([[Fraction(7, 4)]])) + assert_equal(type(q), np.ndarray) + + # repeat with integral input but fractional quantile + x = np.arange(8) + assert_equal(np.quantile(x, Fraction(1, 2)), Fraction(7, 2)) + + def test_complex(self): + #See gh-22652 + arr_c = np.array([0.5+3.0j, 2.1+0.5j, 1.6+2.3j], dtype='G') + assert_raises(TypeError, np.quantile, arr_c, 0.5) + arr_c = np.array([0.5+3.0j, 2.1+0.5j, 1.6+2.3j], dtype='D') + assert_raises(TypeError, np.quantile, arr_c, 0.5) + arr_c = np.array([0.5+3.0j, 2.1+0.5j, 1.6+2.3j], dtype='F') + assert_raises(TypeError, np.quantile, arr_c, 0.5) + + def test_no_p_overwrite(self): + # this is worth retesting, because quantile does not make a copy + p0 = np.array([0, 0.75, 0.25, 0.5, 1.0]) + p = p0.copy() + np.quantile(np.arange(100.), p, method="midpoint") + assert_array_equal(p, p0) + + p0 = p0.tolist() + p = p.tolist() + np.quantile(np.arange(100.), p, method="midpoint") + assert_array_equal(p, p0) + + @pytest.mark.parametrize("dtype", np.typecodes["AllInteger"]) + def test_quantile_preserve_int_type(self, dtype): + res = np.quantile(np.array([1, 2], dtype=dtype), [0.5], + method="nearest") + assert res.dtype == dtype + + @pytest.mark.parametrize("method", quantile_methods) + def test_quantile_monotonic(self, method): + # GH 14685 + # test that the return value of quantile is monotonic if p0 is ordered + # Also tests that the boundary values are not mishandled. + p0 = np.linspace(0, 1, 101) + quantile = np.quantile(np.array([0, 1, 1, 2, 2, 3, 3, 4, 5, 5, 1, 1, 9, 9, 9, + 8, 8, 7]) * 0.1, p0, method=method) + assert_equal(np.sort(quantile), quantile) + + # Also test one where the number of data points is clearly divisible: + quantile = np.quantile([0., 1., 2., 3.], p0, method=method) + assert_equal(np.sort(quantile), quantile) + + @hypothesis.given( + arr=arrays(dtype=np.float64, + shape=st.integers(min_value=3, max_value=1000), + elements=st.floats(allow_infinity=False, allow_nan=False, + min_value=-1e300, max_value=1e300))) + def test_quantile_monotonic_hypo(self, arr): + p0 = np.arange(0, 1, 0.01) + quantile = np.quantile(arr, p0) + assert_equal(np.sort(quantile), quantile) + + def test_quantile_scalar_nan(self): + a = np.array([[10., 7., 4.], [3., 2., 1.]]) + a[0][1] = np.nan + actual = np.quantile(a, 0.5) + assert np.isscalar(actual) + assert_equal(np.quantile(a, 0.5), np.nan) + + @pytest.mark.parametrize("method", quantile_methods) + @pytest.mark.parametrize("alpha", [0.2, 0.5, 0.9]) + def test_quantile_identification_equation(self, method, alpha): + # Test that the identification equation holds for the empirical + # CDF: + # E[V(x, Y)] = 0 <=> x is quantile + # with Y the random variable for which we have observed values and + # V(x, y) the canonical identification function for the quantile (at + # level alpha), see + # https://doi.org/10.48550/arXiv.0912.0902 + rng = np.random.default_rng(4321) + # We choose n and alpha such that we cover 3 cases: + # - n * alpha is an integer + # - n * alpha is a float that gets rounded down + # - n * alpha is a float that gest rounded up + n = 102 # n * alpha = 20.4, 51. , 91.8 + y = rng.random(n) + x = np.quantile(y, alpha, method=method) + if method in ("higher",): + # These methods do not fulfill the identification equation. + assert np.abs(np.mean(self.V(x, y, alpha))) > 0.1 / n + elif int(n * alpha) == n * alpha: + # We can expect exact results, up to machine precision. + assert_allclose(np.mean(self.V(x, y, alpha)), 0, atol=1e-14) + else: + # V = (x >= y) - alpha cannot sum to zero exactly but within + # "sample precision". + assert_allclose(np.mean(self.V(x, y, alpha)), 0, + atol=1 / n / np.amin([alpha, 1 - alpha])) + + @pytest.mark.parametrize("method", quantile_methods) + @pytest.mark.parametrize("alpha", [0.2, 0.5, 0.9]) + def test_quantile_add_and_multiply_constant(self, method, alpha): + # Test that + # 1. quantile(c + x) = c + quantile(x) + # 2. quantile(c * x) = c * quantile(x) + # 3. quantile(-x) = -quantile(x, 1 - alpha) + # On empirical quantiles, this equation does not hold exactly. + # Koenker (2005) "Quantile Regression" Chapter 2.2.3 calls these + # properties equivariance. + rng = np.random.default_rng(4321) + # We choose n and alpha such that we have cases for + # - n * alpha is an integer + # - n * alpha is a float that gets rounded down + # - n * alpha is a float that gest rounded up + n = 102 # n * alpha = 20.4, 51. , 91.8 + y = rng.random(n) + q = np.quantile(y, alpha, method=method) + c = 13.5 + + # 1 + assert_allclose(np.quantile(c + y, alpha, method=method), c + q) + # 2 + assert_allclose(np.quantile(c * y, alpha, method=method), c * q) + # 3 + q = -np.quantile(-y, 1 - alpha, method=method) + if method == "inverted_cdf": + if ( + n * alpha == int(n * alpha) + or np.round(n * alpha) == int(n * alpha) + 1 + ): + assert_allclose(q, np.quantile(y, alpha, method="higher")) + else: + assert_allclose(q, np.quantile(y, alpha, method="lower")) + elif method == "closest_observation": + if n * alpha == int(n * alpha): + assert_allclose(q, np.quantile(y, alpha, method="higher")) + elif np.round(n * alpha) == int(n * alpha) + 1: + assert_allclose( + q, np.quantile(y, alpha + 1/n, method="higher")) + else: + assert_allclose(q, np.quantile(y, alpha, method="lower")) + elif method == "interpolated_inverted_cdf": + assert_allclose(q, np.quantile(y, alpha + 1/n, method=method)) + elif method == "nearest": + if n * alpha == int(n * alpha): + assert_allclose(q, np.quantile(y, alpha + 1/n, method=method)) + else: + assert_allclose(q, np.quantile(y, alpha, method=method)) + elif method == "lower": + assert_allclose(q, np.quantile(y, alpha, method="higher")) + elif method == "higher": + assert_allclose(q, np.quantile(y, alpha, method="lower")) + else: + # "averaged_inverted_cdf", "hazen", "weibull", "linear", + # "median_unbiased", "normal_unbiased", "midpoint" + assert_allclose(q, np.quantile(y, alpha, method=method)) + + +class TestLerp: + @hypothesis.given(t0=st.floats(allow_nan=False, allow_infinity=False, + min_value=0, max_value=1), + t1=st.floats(allow_nan=False, allow_infinity=False, + min_value=0, max_value=1), + a = st.floats(allow_nan=False, allow_infinity=False, + min_value=-1e300, max_value=1e300), + b = st.floats(allow_nan=False, allow_infinity=False, + min_value=-1e300, max_value=1e300)) + def test_linear_interpolation_formula_monotonic(self, t0, t1, a, b): + l0 = nfb._lerp(a, b, t0) + l1 = nfb._lerp(a, b, t1) + if t0 == t1 or a == b: + assert l0 == l1 # uninteresting + elif (t0 < t1) == (a < b): + assert l0 <= l1 + else: + assert l0 >= l1 + + @hypothesis.given(t=st.floats(allow_nan=False, allow_infinity=False, + min_value=0, max_value=1), + a=st.floats(allow_nan=False, allow_infinity=False, + min_value=-1e300, max_value=1e300), + b=st.floats(allow_nan=False, allow_infinity=False, + min_value=-1e300, max_value=1e300)) + def test_linear_interpolation_formula_bounded(self, t, a, b): + if a <= b: + assert a <= nfb._lerp(a, b, t) <= b + else: + assert b <= nfb._lerp(a, b, t) <= a + + @hypothesis.given(t=st.floats(allow_nan=False, allow_infinity=False, + min_value=0, max_value=1), + a=st.floats(allow_nan=False, allow_infinity=False, + min_value=-1e300, max_value=1e300), + b=st.floats(allow_nan=False, allow_infinity=False, + min_value=-1e300, max_value=1e300)) + def test_linear_interpolation_formula_symmetric(self, t, a, b): + # double subtraction is needed to remove the extra precision of t < 0.5 + left = nfb._lerp(a, b, 1 - (1 - t)) + right = nfb._lerp(b, a, 1 - t) + assert_allclose(left, right) + + def test_linear_interpolation_formula_0d_inputs(self): + a = np.array(2) + b = np.array(5) + t = np.array(0.2) + assert nfb._lerp(a, b, t) == 2.6 + + +class TestMedian: + + def test_basic(self): + a0 = np.array(1) + a1 = np.arange(2) + a2 = np.arange(6).reshape(2, 3) + assert_equal(np.median(a0), 1) + assert_allclose(np.median(a1), 0.5) + assert_allclose(np.median(a2), 2.5) + assert_allclose(np.median(a2, axis=0), [1.5, 2.5, 3.5]) + assert_equal(np.median(a2, axis=1), [1, 4]) + assert_allclose(np.median(a2, axis=None), 2.5) + + a = np.array([0.0444502, 0.0463301, 0.141249, 0.0606775]) + assert_almost_equal((a[1] + a[3]) / 2., np.median(a)) + a = np.array([0.0463301, 0.0444502, 0.141249]) + assert_equal(a[0], np.median(a)) + a = np.array([0.0444502, 0.141249, 0.0463301]) + assert_equal(a[-1], np.median(a)) + # check array scalar result + assert_equal(np.median(a).ndim, 0) + a[1] = np.nan + assert_equal(np.median(a).ndim, 0) + + def test_axis_keyword(self): + a3 = np.array([[2, 3], + [0, 1], + [6, 7], + [4, 5]]) + for a in [a3, np.random.randint(0, 100, size=(2, 3, 4))]: + orig = a.copy() + np.median(a, axis=None) + for ax in range(a.ndim): + np.median(a, axis=ax) + assert_array_equal(a, orig) + + assert_allclose(np.median(a3, axis=0), [3, 4]) + assert_allclose(np.median(a3.T, axis=1), [3, 4]) + assert_allclose(np.median(a3), 3.5) + assert_allclose(np.median(a3, axis=None), 3.5) + assert_allclose(np.median(a3.T), 3.5) + + def test_overwrite_keyword(self): + a3 = np.array([[2, 3], + [0, 1], + [6, 7], + [4, 5]]) + a0 = np.array(1) + a1 = np.arange(2) + a2 = np.arange(6).reshape(2, 3) + assert_allclose(np.median(a0.copy(), overwrite_input=True), 1) + assert_allclose(np.median(a1.copy(), overwrite_input=True), 0.5) + assert_allclose(np.median(a2.copy(), overwrite_input=True), 2.5) + assert_allclose(np.median(a2.copy(), overwrite_input=True, axis=0), + [1.5, 2.5, 3.5]) + assert_allclose( + np.median(a2.copy(), overwrite_input=True, axis=1), [1, 4]) + assert_allclose( + np.median(a2.copy(), overwrite_input=True, axis=None), 2.5) + assert_allclose( + np.median(a3.copy(), overwrite_input=True, axis=0), [3, 4]) + assert_allclose(np.median(a3.T.copy(), overwrite_input=True, axis=1), + [3, 4]) + + a4 = np.arange(3 * 4 * 5, dtype=np.float32).reshape((3, 4, 5)) + np.random.shuffle(a4.ravel()) + assert_allclose(np.median(a4, axis=None), + np.median(a4.copy(), axis=None, overwrite_input=True)) + assert_allclose(np.median(a4, axis=0), + np.median(a4.copy(), axis=0, overwrite_input=True)) + assert_allclose(np.median(a4, axis=1), + np.median(a4.copy(), axis=1, overwrite_input=True)) + assert_allclose(np.median(a4, axis=2), + np.median(a4.copy(), axis=2, overwrite_input=True)) + + def test_array_like(self): + x = [1, 2, 3] + assert_almost_equal(np.median(x), 2) + x2 = [x] + assert_almost_equal(np.median(x2), 2) + assert_allclose(np.median(x2, axis=0), x) + + def test_subclass(self): + # gh-3846 + class MySubClass(np.ndarray): + + def __new__(cls, input_array, info=None): + obj = np.asarray(input_array).view(cls) + obj.info = info + return obj + + def mean(self, axis=None, dtype=None, out=None): + return -7 + + a = MySubClass([1, 2, 3]) + assert_equal(np.median(a), -7) + + @pytest.mark.parametrize('arr', + ([1., 2., 3.], [1., np.nan, 3.], np.nan, 0.)) + def test_subclass2(self, arr): + """Check that we return subclasses, even if a NaN scalar.""" + class MySubclass(np.ndarray): + pass + + m = np.median(np.array(arr).view(MySubclass)) + assert isinstance(m, MySubclass) + + def test_out(self): + o = np.zeros((4,)) + d = np.ones((3, 4)) + assert_equal(np.median(d, 0, out=o), o) + o = np.zeros((3,)) + assert_equal(np.median(d, 1, out=o), o) + o = np.zeros(()) + assert_equal(np.median(d, out=o), o) + + def test_out_nan(self): + with warnings.catch_warnings(record=True): + warnings.filterwarnings('always', '', RuntimeWarning) + o = np.zeros((4,)) + d = np.ones((3, 4)) + d[2, 1] = np.nan + assert_equal(np.median(d, 0, out=o), o) + o = np.zeros((3,)) + assert_equal(np.median(d, 1, out=o), o) + o = np.zeros(()) + assert_equal(np.median(d, out=o), o) + + def test_nan_behavior(self): + a = np.arange(24, dtype=float) + a[2] = np.nan + assert_equal(np.median(a), np.nan) + assert_equal(np.median(a, axis=0), np.nan) + + a = np.arange(24, dtype=float).reshape(2, 3, 4) + a[1, 2, 3] = np.nan + a[1, 1, 2] = np.nan + + # no axis + assert_equal(np.median(a), np.nan) + assert_equal(np.median(a).ndim, 0) + + # axis0 + b = np.median(np.arange(24, dtype=float).reshape(2, 3, 4), 0) + b[2, 3] = np.nan + b[1, 2] = np.nan + assert_equal(np.median(a, 0), b) + + # axis1 + b = np.median(np.arange(24, dtype=float).reshape(2, 3, 4), 1) + b[1, 3] = np.nan + b[1, 2] = np.nan + assert_equal(np.median(a, 1), b) + + # axis02 + b = np.median(np.arange(24, dtype=float).reshape(2, 3, 4), (0, 2)) + b[1] = np.nan + b[2] = np.nan + assert_equal(np.median(a, (0, 2)), b) + + @pytest.mark.skipif(IS_WASM, reason="fp errors don't work correctly") + def test_empty(self): + # mean(empty array) emits two warnings: empty slice and divide by 0 + a = np.array([], dtype=float) + with warnings.catch_warnings(record=True) as w: + warnings.filterwarnings('always', '', RuntimeWarning) + assert_equal(np.median(a), np.nan) + assert_(w[0].category is RuntimeWarning) + assert_equal(len(w), 2) + + # multiple dimensions + a = np.array([], dtype=float, ndmin=3) + # no axis + with warnings.catch_warnings(record=True) as w: + warnings.filterwarnings('always', '', RuntimeWarning) + assert_equal(np.median(a), np.nan) + assert_(w[0].category is RuntimeWarning) + + # axis 0 and 1 + b = np.array([], dtype=float, ndmin=2) + assert_equal(np.median(a, axis=0), b) + assert_equal(np.median(a, axis=1), b) + + # axis 2 + b = np.array(np.nan, dtype=float, ndmin=2) + with warnings.catch_warnings(record=True) as w: + warnings.filterwarnings('always', '', RuntimeWarning) + assert_equal(np.median(a, axis=2), b) + assert_(w[0].category is RuntimeWarning) + + def test_object(self): + o = np.arange(7.) + assert_(type(np.median(o.astype(object))), float) + o[2] = np.nan + assert_(type(np.median(o.astype(object))), float) + + def test_extended_axis(self): + o = np.random.normal(size=(71, 23)) + x = np.dstack([o] * 10) + assert_equal(np.median(x, axis=(0, 1)), np.median(o)) + x = np.moveaxis(x, -1, 0) + assert_equal(np.median(x, axis=(-2, -1)), np.median(o)) + x = x.swapaxes(0, 1).copy() + assert_equal(np.median(x, axis=(0, -1)), np.median(o)) + + assert_equal(np.median(x, axis=(0, 1, 2)), np.median(x, axis=None)) + assert_equal(np.median(x, axis=(0, )), np.median(x, axis=0)) + assert_equal(np.median(x, axis=(-1, )), np.median(x, axis=-1)) + + d = np.arange(3 * 5 * 7 * 11).reshape((3, 5, 7, 11)) + np.random.shuffle(d.ravel()) + assert_equal(np.median(d, axis=(0, 1, 2))[0], + np.median(d[:,:,:, 0].flatten())) + assert_equal(np.median(d, axis=(0, 1, 3))[1], + np.median(d[:,:, 1,:].flatten())) + assert_equal(np.median(d, axis=(3, 1, -4))[2], + np.median(d[:,:, 2,:].flatten())) + assert_equal(np.median(d, axis=(3, 1, 2))[2], + np.median(d[2,:,:,:].flatten())) + assert_equal(np.median(d, axis=(3, 2))[2, 1], + np.median(d[2, 1,:,:].flatten())) + assert_equal(np.median(d, axis=(1, -2))[2, 1], + np.median(d[2,:,:, 1].flatten())) + assert_equal(np.median(d, axis=(1, 3))[2, 2], + np.median(d[2,:, 2,:].flatten())) + + def test_extended_axis_invalid(self): + d = np.ones((3, 5, 7, 11)) + assert_raises(np.AxisError, np.median, d, axis=-5) + assert_raises(np.AxisError, np.median, d, axis=(0, -5)) + assert_raises(np.AxisError, np.median, d, axis=4) + assert_raises(np.AxisError, np.median, d, axis=(0, 4)) + assert_raises(ValueError, np.median, d, axis=(1, 1)) + + def test_keepdims(self): + d = np.ones((3, 5, 7, 11)) + assert_equal(np.median(d, axis=None, keepdims=True).shape, + (1, 1, 1, 1)) + assert_equal(np.median(d, axis=(0, 1), keepdims=True).shape, + (1, 1, 7, 11)) + assert_equal(np.median(d, axis=(0, 3), keepdims=True).shape, + (1, 5, 7, 1)) + assert_equal(np.median(d, axis=(1,), keepdims=True).shape, + (3, 1, 7, 11)) + assert_equal(np.median(d, axis=(0, 1, 2, 3), keepdims=True).shape, + (1, 1, 1, 1)) + assert_equal(np.median(d, axis=(0, 1, 3), keepdims=True).shape, + (1, 1, 7, 1)) + + @pytest.mark.parametrize( + argnames='axis', + argvalues=[ + None, + 1, + (1, ), + (0, 1), + (-3, -1), + ] + ) + def test_keepdims_out(self, axis): + d = np.ones((3, 5, 7, 11)) + if axis is None: + shape_out = (1,) * d.ndim + else: + axis_norm = normalize_axis_tuple(axis, d.ndim) + shape_out = tuple( + 1 if i in axis_norm else d.shape[i] for i in range(d.ndim)) + out = np.empty(shape_out) + result = np.median(d, axis=axis, keepdims=True, out=out) + assert result is out + assert_equal(result.shape, shape_out) + + @pytest.mark.parametrize("dtype", ["m8[s]"]) + @pytest.mark.parametrize("pos", [0, 23, 10]) + def test_nat_behavior(self, dtype, pos): + # TODO: Median does not support Datetime, due to `mean`. + # NaT and NaN should behave the same, do basic tests for NaT. + a = np.arange(0, 24, dtype=dtype) + a[pos] = "NaT" + res = np.median(a) + assert res.dtype == dtype + assert np.isnat(res) + res = np.percentile(a, [30, 60]) + assert res.dtype == dtype + assert np.isnat(res).all() + + a = np.arange(0, 24*3, dtype=dtype).reshape(-1, 3) + a[pos, 1] = "NaT" + res = np.median(a, axis=0) + assert_array_equal(np.isnat(res), [False, True, False]) + + +class TestAdd_newdoc_ufunc: + + def test_ufunc_arg(self): + assert_raises(TypeError, add_newdoc_ufunc, 2, "blah") + assert_raises(ValueError, add_newdoc_ufunc, np.add, "blah") + + def test_string_arg(self): + assert_raises(TypeError, add_newdoc_ufunc, np.add, 3) + + +class TestAdd_newdoc: + + @pytest.mark.skipif(sys.flags.optimize == 2, reason="Python running -OO") + @pytest.mark.xfail(IS_PYPY, reason="PyPy does not modify tp_doc") + def test_add_doc(self): + # test that np.add_newdoc did attach a docstring successfully: + tgt = "Current flat index into the array." + assert_equal(np.core.flatiter.index.__doc__[:len(tgt)], tgt) + assert_(len(np.core.ufunc.identity.__doc__) > 300) + assert_(len(np.lib.index_tricks.mgrid.__doc__) > 300) + + @pytest.mark.skipif(sys.flags.optimize == 2, reason="Python running -OO") + def test_errors_are_ignored(self): + prev_doc = np.core.flatiter.index.__doc__ + # nothing changed, but error ignored, this should probably + # give a warning (or even error) in the future. + np.add_newdoc("numpy.core", "flatiter", ("index", "bad docstring")) + assert prev_doc == np.core.flatiter.index.__doc__ + + +class TestAddDocstring(): + # Test should possibly be moved, but it also fits to be close to + # the newdoc tests... + @pytest.mark.skipif(sys.flags.optimize == 2, reason="Python running -OO") + @pytest.mark.skipif(IS_PYPY, reason="PyPy does not modify tp_doc") + def test_add_same_docstring(self): + # test for attributes (which are C-level defined) + np.add_docstring(np.ndarray.flat, np.ndarray.flat.__doc__) + # And typical functions: + def func(): + """docstring""" + return + + np.add_docstring(func, func.__doc__) + + @pytest.mark.skipif(sys.flags.optimize == 2, reason="Python running -OO") + def test_different_docstring_fails(self): + # test for attributes (which are C-level defined) + with assert_raises(RuntimeError): + np.add_docstring(np.ndarray.flat, "different docstring") + # And typical functions: + def func(): + """docstring""" + return + + with assert_raises(RuntimeError): + np.add_docstring(func, "different docstring") + + +class TestSortComplex: + + @pytest.mark.parametrize("type_in, type_out", [ + ('l', 'D'), + ('h', 'F'), + ('H', 'F'), + ('b', 'F'), + ('B', 'F'), + ('g', 'G'), + ]) + def test_sort_real(self, type_in, type_out): + # sort_complex() type casting for real input types + a = np.array([5, 3, 6, 2, 1], dtype=type_in) + actual = np.sort_complex(a) + expected = np.sort(a).astype(type_out) + assert_equal(actual, expected) + assert_equal(actual.dtype, expected.dtype) + + def test_sort_complex(self): + # sort_complex() handling of complex input + a = np.array([2 + 3j, 1 - 2j, 1 - 3j, 2 + 1j], dtype='D') + expected = np.array([1 - 3j, 1 - 2j, 2 + 1j, 2 + 3j], dtype='D') + actual = np.sort_complex(a) + assert_equal(actual, expected) + assert_equal(actual.dtype, expected.dtype) diff --git a/lib/python3.12/site-packages/numpy/lib/tests/test_histograms.py b/lib/python3.12/site-packages/numpy/lib/tests/test_histograms.py new file mode 100644 index 0000000000000000000000000000000000000000..8c55f16db98e2ba36a075fb5df7050dd2b8651ee --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/tests/test_histograms.py @@ -0,0 +1,816 @@ +import numpy as np + +from numpy.lib.histograms import histogram, histogramdd, histogram_bin_edges +from numpy.testing import ( + assert_, assert_equal, assert_array_equal, assert_almost_equal, + assert_array_almost_equal, assert_raises, assert_allclose, + assert_array_max_ulp, assert_raises_regex, suppress_warnings, + ) +from numpy.testing._private.utils import requires_memory +import pytest + + +class TestHistogram: + + def setup_method(self): + pass + + def teardown_method(self): + pass + + def test_simple(self): + n = 100 + v = np.random.rand(n) + (a, b) = histogram(v) + # check if the sum of the bins equals the number of samples + assert_equal(np.sum(a, axis=0), n) + # check that the bin counts are evenly spaced when the data is from + # a linear function + (a, b) = histogram(np.linspace(0, 10, 100)) + assert_array_equal(a, 10) + + def test_one_bin(self): + # Ticket 632 + hist, edges = histogram([1, 2, 3, 4], [1, 2]) + assert_array_equal(hist, [2, ]) + assert_array_equal(edges, [1, 2]) + assert_raises(ValueError, histogram, [1, 2], bins=0) + h, e = histogram([1, 2], bins=1) + assert_equal(h, np.array([2])) + assert_allclose(e, np.array([1., 2.])) + + def test_density(self): + # Check that the integral of the density equals 1. + n = 100 + v = np.random.rand(n) + a, b = histogram(v, density=True) + area = np.sum(a * np.diff(b)) + assert_almost_equal(area, 1) + + # Check with non-constant bin widths + v = np.arange(10) + bins = [0, 1, 3, 6, 10] + a, b = histogram(v, bins, density=True) + assert_array_equal(a, .1) + assert_equal(np.sum(a * np.diff(b)), 1) + + # Test that passing False works too + a, b = histogram(v, bins, density=False) + assert_array_equal(a, [1, 2, 3, 4]) + + # Variable bin widths are especially useful to deal with + # infinities. + v = np.arange(10) + bins = [0, 1, 3, 6, np.inf] + a, b = histogram(v, bins, density=True) + assert_array_equal(a, [.1, .1, .1, 0.]) + + # Taken from a bug report from N. Becker on the numpy-discussion + # mailing list Aug. 6, 2010. + counts, dmy = np.histogram( + [1, 2, 3, 4], [0.5, 1.5, np.inf], density=True) + assert_equal(counts, [.25, 0]) + + def test_outliers(self): + # Check that outliers are not tallied + a = np.arange(10) + .5 + + # Lower outliers + h, b = histogram(a, range=[0, 9]) + assert_equal(h.sum(), 9) + + # Upper outliers + h, b = histogram(a, range=[1, 10]) + assert_equal(h.sum(), 9) + + # Normalization + h, b = histogram(a, range=[1, 9], density=True) + assert_almost_equal((h * np.diff(b)).sum(), 1, decimal=15) + + # Weights + w = np.arange(10) + .5 + h, b = histogram(a, range=[1, 9], weights=w, density=True) + assert_equal((h * np.diff(b)).sum(), 1) + + h, b = histogram(a, bins=8, range=[1, 9], weights=w) + assert_equal(h, w[1:-1]) + + def test_arr_weights_mismatch(self): + a = np.arange(10) + .5 + w = np.arange(11) + .5 + with assert_raises_regex(ValueError, "same shape as"): + h, b = histogram(a, range=[1, 9], weights=w, density=True) + + + def test_type(self): + # Check the type of the returned histogram + a = np.arange(10) + .5 + h, b = histogram(a) + assert_(np.issubdtype(h.dtype, np.integer)) + + h, b = histogram(a, density=True) + assert_(np.issubdtype(h.dtype, np.floating)) + + h, b = histogram(a, weights=np.ones(10, int)) + assert_(np.issubdtype(h.dtype, np.integer)) + + h, b = histogram(a, weights=np.ones(10, float)) + assert_(np.issubdtype(h.dtype, np.floating)) + + def test_f32_rounding(self): + # gh-4799, check that the rounding of the edges works with float32 + x = np.array([276.318359, -69.593948, 21.329449], dtype=np.float32) + y = np.array([5005.689453, 4481.327637, 6010.369629], dtype=np.float32) + counts_hist, xedges, yedges = np.histogram2d(x, y, bins=100) + assert_equal(counts_hist.sum(), 3.) + + def test_bool_conversion(self): + # gh-12107 + # Reference integer histogram + a = np.array([1, 1, 0], dtype=np.uint8) + int_hist, int_edges = np.histogram(a) + + # Should raise an warning on booleans + # Ensure that the histograms are equivalent, need to suppress + # the warnings to get the actual outputs + with suppress_warnings() as sup: + rec = sup.record(RuntimeWarning, 'Converting input from .*') + hist, edges = np.histogram([True, True, False]) + # A warning should be issued + assert_equal(len(rec), 1) + assert_array_equal(hist, int_hist) + assert_array_equal(edges, int_edges) + + def test_weights(self): + v = np.random.rand(100) + w = np.ones(100) * 5 + a, b = histogram(v) + na, nb = histogram(v, density=True) + wa, wb = histogram(v, weights=w) + nwa, nwb = histogram(v, weights=w, density=True) + assert_array_almost_equal(a * 5, wa) + assert_array_almost_equal(na, nwa) + + # Check weights are properly applied. + v = np.linspace(0, 10, 10) + w = np.concatenate((np.zeros(5), np.ones(5))) + wa, wb = histogram(v, bins=np.arange(11), weights=w) + assert_array_almost_equal(wa, w) + + # Check with integer weights + wa, wb = histogram([1, 2, 2, 4], bins=4, weights=[4, 3, 2, 1]) + assert_array_equal(wa, [4, 5, 0, 1]) + wa, wb = histogram( + [1, 2, 2, 4], bins=4, weights=[4, 3, 2, 1], density=True) + assert_array_almost_equal(wa, np.array([4, 5, 0, 1]) / 10. / 3. * 4) + + # Check weights with non-uniform bin widths + a, b = histogram( + np.arange(9), [0, 1, 3, 6, 10], + weights=[2, 1, 1, 1, 1, 1, 1, 1, 1], density=True) + assert_almost_equal(a, [.2, .1, .1, .075]) + + def test_exotic_weights(self): + + # Test the use of weights that are not integer or floats, but e.g. + # complex numbers or object types. + + # Complex weights + values = np.array([1.3, 2.5, 2.3]) + weights = np.array([1, -1, 2]) + 1j * np.array([2, 1, 2]) + + # Check with custom bins + wa, wb = histogram(values, bins=[0, 2, 3], weights=weights) + assert_array_almost_equal(wa, np.array([1, 1]) + 1j * np.array([2, 3])) + + # Check with even bins + wa, wb = histogram(values, bins=2, range=[1, 3], weights=weights) + assert_array_almost_equal(wa, np.array([1, 1]) + 1j * np.array([2, 3])) + + # Decimal weights + from decimal import Decimal + values = np.array([1.3, 2.5, 2.3]) + weights = np.array([Decimal(1), Decimal(2), Decimal(3)]) + + # Check with custom bins + wa, wb = histogram(values, bins=[0, 2, 3], weights=weights) + assert_array_almost_equal(wa, [Decimal(1), Decimal(5)]) + + # Check with even bins + wa, wb = histogram(values, bins=2, range=[1, 3], weights=weights) + assert_array_almost_equal(wa, [Decimal(1), Decimal(5)]) + + def test_no_side_effects(self): + # This is a regression test that ensures that values passed to + # ``histogram`` are unchanged. + values = np.array([1.3, 2.5, 2.3]) + np.histogram(values, range=[-10, 10], bins=100) + assert_array_almost_equal(values, [1.3, 2.5, 2.3]) + + def test_empty(self): + a, b = histogram([], bins=([0, 1])) + assert_array_equal(a, np.array([0])) + assert_array_equal(b, np.array([0, 1])) + + def test_error_binnum_type (self): + # Tests if right Error is raised if bins argument is float + vals = np.linspace(0.0, 1.0, num=100) + histogram(vals, 5) + assert_raises(TypeError, histogram, vals, 2.4) + + def test_finite_range(self): + # Normal ranges should be fine + vals = np.linspace(0.0, 1.0, num=100) + histogram(vals, range=[0.25,0.75]) + assert_raises(ValueError, histogram, vals, range=[np.nan,0.75]) + assert_raises(ValueError, histogram, vals, range=[0.25,np.inf]) + + def test_invalid_range(self): + # start of range must be < end of range + vals = np.linspace(0.0, 1.0, num=100) + with assert_raises_regex(ValueError, "max must be larger than"): + np.histogram(vals, range=[0.1, 0.01]) + + def test_bin_edge_cases(self): + # Ensure that floating-point computations correctly place edge cases. + arr = np.array([337, 404, 739, 806, 1007, 1811, 2012]) + hist, edges = np.histogram(arr, bins=8296, range=(2, 2280)) + mask = hist > 0 + left_edges = edges[:-1][mask] + right_edges = edges[1:][mask] + for x, left, right in zip(arr, left_edges, right_edges): + assert_(x >= left) + assert_(x < right) + + def test_last_bin_inclusive_range(self): + arr = np.array([0., 0., 0., 1., 2., 3., 3., 4., 5.]) + hist, edges = np.histogram(arr, bins=30, range=(-0.5, 5)) + assert_equal(hist[-1], 1) + + def test_bin_array_dims(self): + # gracefully handle bins object > 1 dimension + vals = np.linspace(0.0, 1.0, num=100) + bins = np.array([[0, 0.5], [0.6, 1.0]]) + with assert_raises_regex(ValueError, "must be 1d"): + np.histogram(vals, bins=bins) + + def test_unsigned_monotonicity_check(self): + # Ensures ValueError is raised if bins not increasing monotonically + # when bins contain unsigned values (see #9222) + arr = np.array([2]) + bins = np.array([1, 3, 1], dtype='uint64') + with assert_raises(ValueError): + hist, edges = np.histogram(arr, bins=bins) + + def test_object_array_of_0d(self): + # gh-7864 + assert_raises(ValueError, + histogram, [np.array(0.4) for i in range(10)] + [-np.inf]) + assert_raises(ValueError, + histogram, [np.array(0.4) for i in range(10)] + [np.inf]) + + # these should not crash + np.histogram([np.array(0.5) for i in range(10)] + [.500000000000001]) + np.histogram([np.array(0.5) for i in range(10)] + [.5]) + + def test_some_nan_values(self): + # gh-7503 + one_nan = np.array([0, 1, np.nan]) + all_nan = np.array([np.nan, np.nan]) + + # the internal comparisons with NaN give warnings + sup = suppress_warnings() + sup.filter(RuntimeWarning) + with sup: + # can't infer range with nan + assert_raises(ValueError, histogram, one_nan, bins='auto') + assert_raises(ValueError, histogram, all_nan, bins='auto') + + # explicit range solves the problem + h, b = histogram(one_nan, bins='auto', range=(0, 1)) + assert_equal(h.sum(), 2) # nan is not counted + h, b = histogram(all_nan, bins='auto', range=(0, 1)) + assert_equal(h.sum(), 0) # nan is not counted + + # as does an explicit set of bins + h, b = histogram(one_nan, bins=[0, 1]) + assert_equal(h.sum(), 2) # nan is not counted + h, b = histogram(all_nan, bins=[0, 1]) + assert_equal(h.sum(), 0) # nan is not counted + + def test_datetime(self): + begin = np.datetime64('2000-01-01', 'D') + offsets = np.array([0, 0, 1, 1, 2, 3, 5, 10, 20]) + bins = np.array([0, 2, 7, 20]) + dates = begin + offsets + date_bins = begin + bins + + td = np.dtype('timedelta64[D]') + + # Results should be the same for integer offsets or datetime values. + # For now, only explicit bins are supported, since linspace does not + # work on datetimes or timedeltas + d_count, d_edge = histogram(dates, bins=date_bins) + t_count, t_edge = histogram(offsets.astype(td), bins=bins.astype(td)) + i_count, i_edge = histogram(offsets, bins=bins) + + assert_equal(d_count, i_count) + assert_equal(t_count, i_count) + + assert_equal((d_edge - begin).astype(int), i_edge) + assert_equal(t_edge.astype(int), i_edge) + + assert_equal(d_edge.dtype, dates.dtype) + assert_equal(t_edge.dtype, td) + + def do_signed_overflow_bounds(self, dtype): + exponent = 8 * np.dtype(dtype).itemsize - 1 + arr = np.array([-2**exponent + 4, 2**exponent - 4], dtype=dtype) + hist, e = histogram(arr, bins=2) + assert_equal(e, [-2**exponent + 4, 0, 2**exponent - 4]) + assert_equal(hist, [1, 1]) + + def test_signed_overflow_bounds(self): + self.do_signed_overflow_bounds(np.byte) + self.do_signed_overflow_bounds(np.short) + self.do_signed_overflow_bounds(np.intc) + self.do_signed_overflow_bounds(np.int_) + self.do_signed_overflow_bounds(np.longlong) + + def do_precision_lower_bound(self, float_small, float_large): + eps = np.finfo(float_large).eps + + arr = np.array([1.0], float_small) + range = np.array([1.0 + eps, 2.0], float_large) + + # test is looking for behavior when the bounds change between dtypes + if range.astype(float_small)[0] != 1: + return + + # previously crashed + count, x_loc = np.histogram(arr, bins=1, range=range) + assert_equal(count, [1]) + + # gh-10322 means that the type comes from arr - this may change + assert_equal(x_loc.dtype, float_small) + + def do_precision_upper_bound(self, float_small, float_large): + eps = np.finfo(float_large).eps + + arr = np.array([1.0], float_small) + range = np.array([0.0, 1.0 - eps], float_large) + + # test is looking for behavior when the bounds change between dtypes + if range.astype(float_small)[-1] != 1: + return + + # previously crashed + count, x_loc = np.histogram(arr, bins=1, range=range) + assert_equal(count, [1]) + + # gh-10322 means that the type comes from arr - this may change + assert_equal(x_loc.dtype, float_small) + + def do_precision(self, float_small, float_large): + self.do_precision_lower_bound(float_small, float_large) + self.do_precision_upper_bound(float_small, float_large) + + def test_precision(self): + # not looping results in a useful stack trace upon failure + self.do_precision(np.half, np.single) + self.do_precision(np.half, np.double) + self.do_precision(np.half, np.longdouble) + self.do_precision(np.single, np.double) + self.do_precision(np.single, np.longdouble) + self.do_precision(np.double, np.longdouble) + + def test_histogram_bin_edges(self): + hist, e = histogram([1, 2, 3, 4], [1, 2]) + edges = histogram_bin_edges([1, 2, 3, 4], [1, 2]) + assert_array_equal(edges, e) + + arr = np.array([0., 0., 0., 1., 2., 3., 3., 4., 5.]) + hist, e = histogram(arr, bins=30, range=(-0.5, 5)) + edges = histogram_bin_edges(arr, bins=30, range=(-0.5, 5)) + assert_array_equal(edges, e) + + hist, e = histogram(arr, bins='auto', range=(0, 1)) + edges = histogram_bin_edges(arr, bins='auto', range=(0, 1)) + assert_array_equal(edges, e) + + # @requires_memory(free_bytes=1e10) + # @pytest.mark.slow + @pytest.mark.skip(reason="Bad memory reports lead to OOM in ci testing") + def test_big_arrays(self): + sample = np.zeros([100000000, 3]) + xbins = 400 + ybins = 400 + zbins = np.arange(16000) + hist = np.histogramdd(sample=sample, bins=(xbins, ybins, zbins)) + assert_equal(type(hist), type((1, 2))) + + def test_gh_23110(self): + hist, e = np.histogram(np.array([-0.9e-308], dtype='>f8'), + bins=2, + range=(-1e-308, -2e-313)) + expected_hist = np.array([1, 0]) + assert_array_equal(hist, expected_hist) + + +class TestHistogramOptimBinNums: + """ + Provide test coverage when using provided estimators for optimal number of + bins + """ + + def test_empty(self): + estimator_list = ['fd', 'scott', 'rice', 'sturges', + 'doane', 'sqrt', 'auto', 'stone'] + # check it can deal with empty data + for estimator in estimator_list: + a, b = histogram([], bins=estimator) + assert_array_equal(a, np.array([0])) + assert_array_equal(b, np.array([0, 1])) + + def test_simple(self): + """ + Straightforward testing with a mixture of linspace data (for + consistency). All test values have been precomputed and the values + shouldn't change + """ + # Some basic sanity checking, with some fixed data. + # Checking for the correct number of bins + basic_test = {50: {'fd': 4, 'scott': 4, 'rice': 8, 'sturges': 7, + 'doane': 8, 'sqrt': 8, 'auto': 7, 'stone': 2}, + 500: {'fd': 8, 'scott': 8, 'rice': 16, 'sturges': 10, + 'doane': 12, 'sqrt': 23, 'auto': 10, 'stone': 9}, + 5000: {'fd': 17, 'scott': 17, 'rice': 35, 'sturges': 14, + 'doane': 17, 'sqrt': 71, 'auto': 17, 'stone': 20}} + + for testlen, expectedResults in basic_test.items(): + # Create some sort of non uniform data to test with + # (2 peak uniform mixture) + x1 = np.linspace(-10, -1, testlen // 5 * 2) + x2 = np.linspace(1, 10, testlen // 5 * 3) + x = np.concatenate((x1, x2)) + for estimator, numbins in expectedResults.items(): + a, b = np.histogram(x, estimator) + assert_equal(len(a), numbins, err_msg="For the {0} estimator " + "with datasize of {1}".format(estimator, testlen)) + + def test_small(self): + """ + Smaller datasets have the potential to cause issues with the data + adaptive methods, especially the FD method. All bin numbers have been + precalculated. + """ + small_dat = {1: {'fd': 1, 'scott': 1, 'rice': 1, 'sturges': 1, + 'doane': 1, 'sqrt': 1, 'stone': 1}, + 2: {'fd': 2, 'scott': 1, 'rice': 3, 'sturges': 2, + 'doane': 1, 'sqrt': 2, 'stone': 1}, + 3: {'fd': 2, 'scott': 2, 'rice': 3, 'sturges': 3, + 'doane': 3, 'sqrt': 2, 'stone': 1}} + + for testlen, expectedResults in small_dat.items(): + testdat = np.arange(testlen) + for estimator, expbins in expectedResults.items(): + a, b = np.histogram(testdat, estimator) + assert_equal(len(a), expbins, err_msg="For the {0} estimator " + "with datasize of {1}".format(estimator, testlen)) + + def test_incorrect_methods(self): + """ + Check a Value Error is thrown when an unknown string is passed in + """ + check_list = ['mad', 'freeman', 'histograms', 'IQR'] + for estimator in check_list: + assert_raises(ValueError, histogram, [1, 2, 3], estimator) + + def test_novariance(self): + """ + Check that methods handle no variance in data + Primarily for Scott and FD as the SD and IQR are both 0 in this case + """ + novar_dataset = np.ones(100) + novar_resultdict = {'fd': 1, 'scott': 1, 'rice': 1, 'sturges': 1, + 'doane': 1, 'sqrt': 1, 'auto': 1, 'stone': 1} + + for estimator, numbins in novar_resultdict.items(): + a, b = np.histogram(novar_dataset, estimator) + assert_equal(len(a), numbins, err_msg="{0} estimator, " + "No Variance test".format(estimator)) + + def test_limited_variance(self): + """ + Check when IQR is 0, but variance exists, we return the sturges value + and not the fd value. + """ + lim_var_data = np.ones(1000) + lim_var_data[:3] = 0 + lim_var_data[-4:] = 100 + + edges_auto = histogram_bin_edges(lim_var_data, 'auto') + assert_equal(edges_auto, np.linspace(0, 100, 12)) + + edges_fd = histogram_bin_edges(lim_var_data, 'fd') + assert_equal(edges_fd, np.array([0, 100])) + + edges_sturges = histogram_bin_edges(lim_var_data, 'sturges') + assert_equal(edges_sturges, np.linspace(0, 100, 12)) + + def test_outlier(self): + """ + Check the FD, Scott and Doane with outliers. + + The FD estimates a smaller binwidth since it's less affected by + outliers. Since the range is so (artificially) large, this means more + bins, most of which will be empty, but the data of interest usually is + unaffected. The Scott estimator is more affected and returns fewer bins, + despite most of the variance being in one area of the data. The Doane + estimator lies somewhere between the other two. + """ + xcenter = np.linspace(-10, 10, 50) + outlier_dataset = np.hstack((np.linspace(-110, -100, 5), xcenter)) + + outlier_resultdict = {'fd': 21, 'scott': 5, 'doane': 11, 'stone': 6} + + for estimator, numbins in outlier_resultdict.items(): + a, b = np.histogram(outlier_dataset, estimator) + assert_equal(len(a), numbins) + + def test_scott_vs_stone(self): + """Verify that Scott's rule and Stone's rule converges for normally distributed data""" + + def nbins_ratio(seed, size): + rng = np.random.RandomState(seed) + x = rng.normal(loc=0, scale=2, size=size) + a, b = len(np.histogram(x, 'stone')[0]), len(np.histogram(x, 'scott')[0]) + return a / (a + b) + + ll = [[nbins_ratio(seed, size) for size in np.geomspace(start=10, stop=100, num=4).round().astype(int)] + for seed in range(10)] + + # the average difference between the two methods decreases as the dataset size increases. + avg = abs(np.mean(ll, axis=0) - 0.5) + assert_almost_equal(avg, [0.15, 0.09, 0.08, 0.03], decimal=2) + + def test_simple_range(self): + """ + Straightforward testing with a mixture of linspace data (for + consistency). Adding in a 3rd mixture that will then be + completely ignored. All test values have been precomputed and + the shouldn't change. + """ + # some basic sanity checking, with some fixed data. + # Checking for the correct number of bins + basic_test = { + 50: {'fd': 8, 'scott': 8, 'rice': 15, + 'sturges': 14, 'auto': 14, 'stone': 8}, + 500: {'fd': 15, 'scott': 16, 'rice': 32, + 'sturges': 20, 'auto': 20, 'stone': 80}, + 5000: {'fd': 33, 'scott': 33, 'rice': 69, + 'sturges': 27, 'auto': 33, 'stone': 80} + } + + for testlen, expectedResults in basic_test.items(): + # create some sort of non uniform data to test with + # (3 peak uniform mixture) + x1 = np.linspace(-10, -1, testlen // 5 * 2) + x2 = np.linspace(1, 10, testlen // 5 * 3) + x3 = np.linspace(-100, -50, testlen) + x = np.hstack((x1, x2, x3)) + for estimator, numbins in expectedResults.items(): + a, b = np.histogram(x, estimator, range = (-20, 20)) + msg = "For the {0} estimator".format(estimator) + msg += " with datasize of {0}".format(testlen) + assert_equal(len(a), numbins, err_msg=msg) + + @pytest.mark.parametrize("bins", ['auto', 'fd', 'doane', 'scott', + 'stone', 'rice', 'sturges']) + def test_signed_integer_data(self, bins): + # Regression test for gh-14379. + a = np.array([-2, 0, 127], dtype=np.int8) + hist, edges = np.histogram(a, bins=bins) + hist32, edges32 = np.histogram(a.astype(np.int32), bins=bins) + assert_array_equal(hist, hist32) + assert_array_equal(edges, edges32) + + def test_simple_weighted(self): + """ + Check that weighted data raises a TypeError + """ + estimator_list = ['fd', 'scott', 'rice', 'sturges', 'auto'] + for estimator in estimator_list: + assert_raises(TypeError, histogram, [1, 2, 3], + estimator, weights=[1, 2, 3]) + + +class TestHistogramdd: + + def test_simple(self): + x = np.array([[-.5, .5, 1.5], [-.5, 1.5, 2.5], [-.5, 2.5, .5], + [.5, .5, 1.5], [.5, 1.5, 2.5], [.5, 2.5, 2.5]]) + H, edges = histogramdd(x, (2, 3, 3), + range=[[-1, 1], [0, 3], [0, 3]]) + answer = np.array([[[0, 1, 0], [0, 0, 1], [1, 0, 0]], + [[0, 1, 0], [0, 0, 1], [0, 0, 1]]]) + assert_array_equal(H, answer) + + # Check normalization + ed = [[-2, 0, 2], [0, 1, 2, 3], [0, 1, 2, 3]] + H, edges = histogramdd(x, bins=ed, density=True) + assert_(np.all(H == answer / 12.)) + + # Check that H has the correct shape. + H, edges = histogramdd(x, (2, 3, 4), + range=[[-1, 1], [0, 3], [0, 4]], + density=True) + answer = np.array([[[0, 1, 0, 0], [0, 0, 1, 0], [1, 0, 0, 0]], + [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 1, 0]]]) + assert_array_almost_equal(H, answer / 6., 4) + # Check that a sequence of arrays is accepted and H has the correct + # shape. + z = [np.squeeze(y) for y in np.split(x, 3, axis=1)] + H, edges = histogramdd( + z, bins=(4, 3, 2), range=[[-2, 2], [0, 3], [0, 2]]) + answer = np.array([[[0, 0], [0, 0], [0, 0]], + [[0, 1], [0, 0], [1, 0]], + [[0, 1], [0, 0], [0, 0]], + [[0, 0], [0, 0], [0, 0]]]) + assert_array_equal(H, answer) + + Z = np.zeros((5, 5, 5)) + Z[list(range(5)), list(range(5)), list(range(5))] = 1. + H, edges = histogramdd([np.arange(5), np.arange(5), np.arange(5)], 5) + assert_array_equal(H, Z) + + def test_shape_3d(self): + # All possible permutations for bins of different lengths in 3D. + bins = ((5, 4, 6), (6, 4, 5), (5, 6, 4), (4, 6, 5), (6, 5, 4), + (4, 5, 6)) + r = np.random.rand(10, 3) + for b in bins: + H, edges = histogramdd(r, b) + assert_(H.shape == b) + + def test_shape_4d(self): + # All possible permutations for bins of different lengths in 4D. + bins = ((7, 4, 5, 6), (4, 5, 7, 6), (5, 6, 4, 7), (7, 6, 5, 4), + (5, 7, 6, 4), (4, 6, 7, 5), (6, 5, 7, 4), (7, 5, 4, 6), + (7, 4, 6, 5), (6, 4, 7, 5), (6, 7, 5, 4), (4, 6, 5, 7), + (4, 7, 5, 6), (5, 4, 6, 7), (5, 7, 4, 6), (6, 7, 4, 5), + (6, 5, 4, 7), (4, 7, 6, 5), (4, 5, 6, 7), (7, 6, 4, 5), + (5, 4, 7, 6), (5, 6, 7, 4), (6, 4, 5, 7), (7, 5, 6, 4)) + + r = np.random.rand(10, 4) + for b in bins: + H, edges = histogramdd(r, b) + assert_(H.shape == b) + + def test_weights(self): + v = np.random.rand(100, 2) + hist, edges = histogramdd(v) + n_hist, edges = histogramdd(v, density=True) + w_hist, edges = histogramdd(v, weights=np.ones(100)) + assert_array_equal(w_hist, hist) + w_hist, edges = histogramdd(v, weights=np.ones(100) * 2, density=True) + assert_array_equal(w_hist, n_hist) + w_hist, edges = histogramdd(v, weights=np.ones(100, int) * 2) + assert_array_equal(w_hist, 2 * hist) + + def test_identical_samples(self): + x = np.zeros((10, 2), int) + hist, edges = histogramdd(x, bins=2) + assert_array_equal(edges[0], np.array([-0.5, 0., 0.5])) + + def test_empty(self): + a, b = histogramdd([[], []], bins=([0, 1], [0, 1])) + assert_array_max_ulp(a, np.array([[0.]])) + a, b = np.histogramdd([[], [], []], bins=2) + assert_array_max_ulp(a, np.zeros((2, 2, 2))) + + def test_bins_errors(self): + # There are two ways to specify bins. Check for the right errors + # when mixing those. + x = np.arange(8).reshape(2, 4) + assert_raises(ValueError, np.histogramdd, x, bins=[-1, 2, 4, 5]) + assert_raises(ValueError, np.histogramdd, x, bins=[1, 0.99, 1, 1]) + assert_raises( + ValueError, np.histogramdd, x, bins=[1, 1, 1, [1, 2, 3, -3]]) + assert_(np.histogramdd(x, bins=[1, 1, 1, [1, 2, 3, 4]])) + + def test_inf_edges(self): + # Test using +/-inf bin edges works. See #1788. + with np.errstate(invalid='ignore'): + x = np.arange(6).reshape(3, 2) + expected = np.array([[1, 0], [0, 1], [0, 1]]) + h, e = np.histogramdd(x, bins=[3, [-np.inf, 2, 10]]) + assert_allclose(h, expected) + h, e = np.histogramdd(x, bins=[3, np.array([-1, 2, np.inf])]) + assert_allclose(h, expected) + h, e = np.histogramdd(x, bins=[3, [-np.inf, 3, np.inf]]) + assert_allclose(h, expected) + + def test_rightmost_binedge(self): + # Test event very close to rightmost binedge. See Github issue #4266 + x = [0.9999999995] + bins = [[0., 0.5, 1.0]] + hist, _ = histogramdd(x, bins=bins) + assert_(hist[0] == 0.0) + assert_(hist[1] == 1.) + x = [1.0] + bins = [[0., 0.5, 1.0]] + hist, _ = histogramdd(x, bins=bins) + assert_(hist[0] == 0.0) + assert_(hist[1] == 1.) + x = [1.0000000001] + bins = [[0., 0.5, 1.0]] + hist, _ = histogramdd(x, bins=bins) + assert_(hist[0] == 0.0) + assert_(hist[1] == 0.0) + x = [1.0001] + bins = [[0., 0.5, 1.0]] + hist, _ = histogramdd(x, bins=bins) + assert_(hist[0] == 0.0) + assert_(hist[1] == 0.0) + + def test_finite_range(self): + vals = np.random.random((100, 3)) + histogramdd(vals, range=[[0.0, 1.0], [0.25, 0.75], [0.25, 0.5]]) + assert_raises(ValueError, histogramdd, vals, + range=[[0.0, 1.0], [0.25, 0.75], [0.25, np.inf]]) + assert_raises(ValueError, histogramdd, vals, + range=[[0.0, 1.0], [np.nan, 0.75], [0.25, 0.5]]) + + def test_equal_edges(self): + """ Test that adjacent entries in an edge array can be equal """ + x = np.array([0, 1, 2]) + y = np.array([0, 1, 2]) + x_edges = np.array([0, 2, 2]) + y_edges = 1 + hist, edges = histogramdd((x, y), bins=(x_edges, y_edges)) + + hist_expected = np.array([ + [2.], + [1.], # x == 2 falls in the final bin + ]) + assert_equal(hist, hist_expected) + + def test_edge_dtype(self): + """ Test that if an edge array is input, its type is preserved """ + x = np.array([0, 10, 20]) + y = x / 10 + x_edges = np.array([0, 5, 15, 20]) + y_edges = x_edges / 10 + hist, edges = histogramdd((x, y), bins=(x_edges, y_edges)) + + assert_equal(edges[0].dtype, x_edges.dtype) + assert_equal(edges[1].dtype, y_edges.dtype) + + def test_large_integers(self): + big = 2**60 # Too large to represent with a full precision float + + x = np.array([0], np.int64) + x_edges = np.array([-1, +1], np.int64) + y = big + x + y_edges = big + x_edges + + hist, edges = histogramdd((x, y), bins=(x_edges, y_edges)) + + assert_equal(hist[0, 0], 1) + + def test_density_non_uniform_2d(self): + # Defines the following grid: + # + # 0 2 8 + # 0+-+-----+ + # + | + + # + | + + # 6+-+-----+ + # 8+-+-----+ + x_edges = np.array([0, 2, 8]) + y_edges = np.array([0, 6, 8]) + relative_areas = np.array([ + [3, 9], + [1, 3]]) + + # ensure the number of points in each region is proportional to its area + x = np.array([1] + [1]*3 + [7]*3 + [7]*9) + y = np.array([7] + [1]*3 + [7]*3 + [1]*9) + + # sanity check that the above worked as intended + hist, edges = histogramdd((y, x), bins=(y_edges, x_edges)) + assert_equal(hist, relative_areas) + + # resulting histogram should be uniform, since counts and areas are proportional + hist, edges = histogramdd((y, x), bins=(y_edges, x_edges), density=True) + assert_equal(hist, 1 / (8*8)) + + def test_density_non_uniform_1d(self): + # compare to histogram to show the results are the same + v = np.arange(10) + bins = np.array([0, 1, 3, 6, 10]) + hist, edges = histogram(v, bins, density=True) + hist_dd, edges_dd = histogramdd((v,), (bins,), density=True) + assert_equal(hist, hist_dd) + assert_equal(edges, edges_dd[0]) diff --git a/lib/python3.12/site-packages/numpy/lib/tests/test_index_tricks.py b/lib/python3.12/site-packages/numpy/lib/tests/test_index_tricks.py new file mode 100644 index 0000000000000000000000000000000000000000..b599cb345b8af2b98c972bd0f43d6eb014fa77fb --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/tests/test_index_tricks.py @@ -0,0 +1,551 @@ +import pytest + +import numpy as np +from numpy.testing import ( + assert_, assert_equal, assert_array_equal, assert_almost_equal, + assert_array_almost_equal, assert_raises, assert_raises_regex, + ) +from numpy.lib.index_tricks import ( + mgrid, ogrid, ndenumerate, fill_diagonal, diag_indices, diag_indices_from, + index_exp, ndindex, r_, s_, ix_ + ) + + +class TestRavelUnravelIndex: + def test_basic(self): + assert_equal(np.unravel_index(2, (2, 2)), (1, 0)) + + # test that new shape argument works properly + assert_equal(np.unravel_index(indices=2, + shape=(2, 2)), + (1, 0)) + + # test that an invalid second keyword argument + # is properly handled, including the old name `dims`. + with assert_raises(TypeError): + np.unravel_index(indices=2, hape=(2, 2)) + + with assert_raises(TypeError): + np.unravel_index(2, hape=(2, 2)) + + with assert_raises(TypeError): + np.unravel_index(254, ims=(17, 94)) + + with assert_raises(TypeError): + np.unravel_index(254, dims=(17, 94)) + + assert_equal(np.ravel_multi_index((1, 0), (2, 2)), 2) + assert_equal(np.unravel_index(254, (17, 94)), (2, 66)) + assert_equal(np.ravel_multi_index((2, 66), (17, 94)), 254) + assert_raises(ValueError, np.unravel_index, -1, (2, 2)) + assert_raises(TypeError, np.unravel_index, 0.5, (2, 2)) + assert_raises(ValueError, np.unravel_index, 4, (2, 2)) + assert_raises(ValueError, np.ravel_multi_index, (-3, 1), (2, 2)) + assert_raises(ValueError, np.ravel_multi_index, (2, 1), (2, 2)) + assert_raises(ValueError, np.ravel_multi_index, (0, -3), (2, 2)) + assert_raises(ValueError, np.ravel_multi_index, (0, 2), (2, 2)) + assert_raises(TypeError, np.ravel_multi_index, (0.1, 0.), (2, 2)) + + assert_equal(np.unravel_index((2*3 + 1)*6 + 4, (4, 3, 6)), [2, 1, 4]) + assert_equal( + np.ravel_multi_index([2, 1, 4], (4, 3, 6)), (2*3 + 1)*6 + 4) + + arr = np.array([[3, 6, 6], [4, 5, 1]]) + assert_equal(np.ravel_multi_index(arr, (7, 6)), [22, 41, 37]) + assert_equal( + np.ravel_multi_index(arr, (7, 6), order='F'), [31, 41, 13]) + assert_equal( + np.ravel_multi_index(arr, (4, 6), mode='clip'), [22, 23, 19]) + assert_equal(np.ravel_multi_index(arr, (4, 4), mode=('clip', 'wrap')), + [12, 13, 13]) + assert_equal(np.ravel_multi_index((3, 1, 4, 1), (6, 7, 8, 9)), 1621) + + assert_equal(np.unravel_index(np.array([22, 41, 37]), (7, 6)), + [[3, 6, 6], [4, 5, 1]]) + assert_equal( + np.unravel_index(np.array([31, 41, 13]), (7, 6), order='F'), + [[3, 6, 6], [4, 5, 1]]) + assert_equal(np.unravel_index(1621, (6, 7, 8, 9)), [3, 1, 4, 1]) + + def test_empty_indices(self): + msg1 = 'indices must be integral: the provided empty sequence was' + msg2 = 'only int indices permitted' + assert_raises_regex(TypeError, msg1, np.unravel_index, [], (10, 3, 5)) + assert_raises_regex(TypeError, msg1, np.unravel_index, (), (10, 3, 5)) + assert_raises_regex(TypeError, msg2, np.unravel_index, np.array([]), + (10, 3, 5)) + assert_equal(np.unravel_index(np.array([],dtype=int), (10, 3, 5)), + [[], [], []]) + assert_raises_regex(TypeError, msg1, np.ravel_multi_index, ([], []), + (10, 3)) + assert_raises_regex(TypeError, msg1, np.ravel_multi_index, ([], ['abc']), + (10, 3)) + assert_raises_regex(TypeError, msg2, np.ravel_multi_index, + (np.array([]), np.array([])), (5, 3)) + assert_equal(np.ravel_multi_index( + (np.array([], dtype=int), np.array([], dtype=int)), (5, 3)), []) + assert_equal(np.ravel_multi_index(np.array([[], []], dtype=int), + (5, 3)), []) + + def test_big_indices(self): + # ravel_multi_index for big indices (issue #7546) + if np.intp == np.int64: + arr = ([1, 29], [3, 5], [3, 117], [19, 2], + [2379, 1284], [2, 2], [0, 1]) + assert_equal( + np.ravel_multi_index(arr, (41, 7, 120, 36, 2706, 8, 6)), + [5627771580, 117259570957]) + + # test unravel_index for big indices (issue #9538) + assert_raises(ValueError, np.unravel_index, 1, (2**32-1, 2**31+1)) + + # test overflow checking for too big array (issue #7546) + dummy_arr = ([0],[0]) + half_max = np.iinfo(np.intp).max // 2 + assert_equal( + np.ravel_multi_index(dummy_arr, (half_max, 2)), [0]) + assert_raises(ValueError, + np.ravel_multi_index, dummy_arr, (half_max+1, 2)) + assert_equal( + np.ravel_multi_index(dummy_arr, (half_max, 2), order='F'), [0]) + assert_raises(ValueError, + np.ravel_multi_index, dummy_arr, (half_max+1, 2), order='F') + + def test_dtypes(self): + # Test with different data types + for dtype in [np.int16, np.uint16, np.int32, + np.uint32, np.int64, np.uint64]: + coords = np.array( + [[1, 0, 1, 2, 3, 4], [1, 6, 1, 3, 2, 0]], dtype=dtype) + shape = (5, 8) + uncoords = 8*coords[0]+coords[1] + assert_equal(np.ravel_multi_index(coords, shape), uncoords) + assert_equal(coords, np.unravel_index(uncoords, shape)) + uncoords = coords[0]+5*coords[1] + assert_equal( + np.ravel_multi_index(coords, shape, order='F'), uncoords) + assert_equal(coords, np.unravel_index(uncoords, shape, order='F')) + + coords = np.array( + [[1, 0, 1, 2, 3, 4], [1, 6, 1, 3, 2, 0], [1, 3, 1, 0, 9, 5]], + dtype=dtype) + shape = (5, 8, 10) + uncoords = 10*(8*coords[0]+coords[1])+coords[2] + assert_equal(np.ravel_multi_index(coords, shape), uncoords) + assert_equal(coords, np.unravel_index(uncoords, shape)) + uncoords = coords[0]+5*(coords[1]+8*coords[2]) + assert_equal( + np.ravel_multi_index(coords, shape, order='F'), uncoords) + assert_equal(coords, np.unravel_index(uncoords, shape, order='F')) + + def test_clipmodes(self): + # Test clipmodes + assert_equal( + np.ravel_multi_index([5, 1, -1, 2], (4, 3, 7, 12), mode='wrap'), + np.ravel_multi_index([1, 1, 6, 2], (4, 3, 7, 12))) + assert_equal(np.ravel_multi_index([5, 1, -1, 2], (4, 3, 7, 12), + mode=( + 'wrap', 'raise', 'clip', 'raise')), + np.ravel_multi_index([1, 1, 0, 2], (4, 3, 7, 12))) + assert_raises( + ValueError, np.ravel_multi_index, [5, 1, -1, 2], (4, 3, 7, 12)) + + def test_writeability(self): + # See gh-7269 + x, y = np.unravel_index([1, 2, 3], (4, 5)) + assert_(x.flags.writeable) + assert_(y.flags.writeable) + + def test_0d(self): + # gh-580 + x = np.unravel_index(0, ()) + assert_equal(x, ()) + + assert_raises_regex(ValueError, "0d array", np.unravel_index, [0], ()) + assert_raises_regex( + ValueError, "out of bounds", np.unravel_index, [1], ()) + + @pytest.mark.parametrize("mode", ["clip", "wrap", "raise"]) + def test_empty_array_ravel(self, mode): + res = np.ravel_multi_index( + np.zeros((3, 0), dtype=np.intp), (2, 1, 0), mode=mode) + assert(res.shape == (0,)) + + with assert_raises(ValueError): + np.ravel_multi_index( + np.zeros((3, 1), dtype=np.intp), (2, 1, 0), mode=mode) + + def test_empty_array_unravel(self): + res = np.unravel_index(np.zeros(0, dtype=np.intp), (2, 1, 0)) + # res is a tuple of three empty arrays + assert(len(res) == 3) + assert(all(a.shape == (0,) for a in res)) + + with assert_raises(ValueError): + np.unravel_index([1], (2, 1, 0)) + +class TestGrid: + def test_basic(self): + a = mgrid[-1:1:10j] + b = mgrid[-1:1:0.1] + assert_(a.shape == (10,)) + assert_(b.shape == (20,)) + assert_(a[0] == -1) + assert_almost_equal(a[-1], 1) + assert_(b[0] == -1) + assert_almost_equal(b[1]-b[0], 0.1, 11) + assert_almost_equal(b[-1], b[0]+19*0.1, 11) + assert_almost_equal(a[1]-a[0], 2.0/9.0, 11) + + def test_linspace_equivalence(self): + y, st = np.linspace(2, 10, retstep=True) + assert_almost_equal(st, 8/49.0) + assert_array_almost_equal(y, mgrid[2:10:50j], 13) + + def test_nd(self): + c = mgrid[-1:1:10j, -2:2:10j] + d = mgrid[-1:1:0.1, -2:2:0.2] + assert_(c.shape == (2, 10, 10)) + assert_(d.shape == (2, 20, 20)) + assert_array_equal(c[0][0, :], -np.ones(10, 'd')) + assert_array_equal(c[1][:, 0], -2*np.ones(10, 'd')) + assert_array_almost_equal(c[0][-1, :], np.ones(10, 'd'), 11) + assert_array_almost_equal(c[1][:, -1], 2*np.ones(10, 'd'), 11) + assert_array_almost_equal(d[0, 1, :] - d[0, 0, :], + 0.1*np.ones(20, 'd'), 11) + assert_array_almost_equal(d[1, :, 1] - d[1, :, 0], + 0.2*np.ones(20, 'd'), 11) + + def test_sparse(self): + grid_full = mgrid[-1:1:10j, -2:2:10j] + grid_sparse = ogrid[-1:1:10j, -2:2:10j] + + # sparse grids can be made dense by broadcasting + grid_broadcast = np.broadcast_arrays(*grid_sparse) + for f, b in zip(grid_full, grid_broadcast): + assert_equal(f, b) + + @pytest.mark.parametrize("start, stop, step, expected", [ + (None, 10, 10j, (200, 10)), + (-10, 20, None, (1800, 30)), + ]) + def test_mgrid_size_none_handling(self, start, stop, step, expected): + # regression test None value handling for + # start and step values used by mgrid; + # internally, this aims to cover previously + # unexplored code paths in nd_grid() + grid = mgrid[start:stop:step, start:stop:step] + # need a smaller grid to explore one of the + # untested code paths + grid_small = mgrid[start:stop:step] + assert_equal(grid.size, expected[0]) + assert_equal(grid_small.size, expected[1]) + + def test_accepts_npfloating(self): + # regression test for #16466 + grid64 = mgrid[0.1:0.33:0.1, ] + grid32 = mgrid[np.float32(0.1):np.float32(0.33):np.float32(0.1), ] + assert_(grid32.dtype == np.float64) + assert_array_almost_equal(grid64, grid32) + + # different code path for single slice + grid64 = mgrid[0.1:0.33:0.1] + grid32 = mgrid[np.float32(0.1):np.float32(0.33):np.float32(0.1)] + assert_(grid32.dtype == np.float64) + assert_array_almost_equal(grid64, grid32) + + def test_accepts_longdouble(self): + # regression tests for #16945 + grid64 = mgrid[0.1:0.33:0.1, ] + grid128 = mgrid[ + np.longdouble(0.1):np.longdouble(0.33):np.longdouble(0.1), + ] + assert_(grid128.dtype == np.longdouble) + assert_array_almost_equal(grid64, grid128) + + grid128c_a = mgrid[0:np.longdouble(1):3.4j] + grid128c_b = mgrid[0:np.longdouble(1):3.4j, ] + assert_(grid128c_a.dtype == grid128c_b.dtype == np.longdouble) + assert_array_equal(grid128c_a, grid128c_b[0]) + + # different code path for single slice + grid64 = mgrid[0.1:0.33:0.1] + grid128 = mgrid[ + np.longdouble(0.1):np.longdouble(0.33):np.longdouble(0.1) + ] + assert_(grid128.dtype == np.longdouble) + assert_array_almost_equal(grid64, grid128) + + def test_accepts_npcomplexfloating(self): + # Related to #16466 + assert_array_almost_equal( + mgrid[0.1:0.3:3j, ], mgrid[0.1:0.3:np.complex64(3j), ] + ) + + # different code path for single slice + assert_array_almost_equal( + mgrid[0.1:0.3:3j], mgrid[0.1:0.3:np.complex64(3j)] + ) + + # Related to #16945 + grid64_a = mgrid[0.1:0.3:3.3j] + grid64_b = mgrid[0.1:0.3:3.3j, ][0] + assert_(grid64_a.dtype == grid64_b.dtype == np.float64) + assert_array_equal(grid64_a, grid64_b) + + grid128_a = mgrid[0.1:0.3:np.clongdouble(3.3j)] + grid128_b = mgrid[0.1:0.3:np.clongdouble(3.3j), ][0] + assert_(grid128_a.dtype == grid128_b.dtype == np.longdouble) + assert_array_equal(grid64_a, grid64_b) + + +class TestConcatenator: + def test_1d(self): + assert_array_equal(r_[1, 2, 3, 4, 5, 6], np.array([1, 2, 3, 4, 5, 6])) + b = np.ones(5) + c = r_[b, 0, 0, b] + assert_array_equal(c, [1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]) + + def test_mixed_type(self): + g = r_[10.1, 1:10] + assert_(g.dtype == 'f8') + + def test_more_mixed_type(self): + g = r_[-10.1, np.array([1]), np.array([2, 3, 4]), 10.0] + assert_(g.dtype == 'f8') + + def test_complex_step(self): + # Regression test for #12262 + g = r_[0:36:100j] + assert_(g.shape == (100,)) + + # Related to #16466 + g = r_[0:36:np.complex64(100j)] + assert_(g.shape == (100,)) + + def test_2d(self): + b = np.random.rand(5, 5) + c = np.random.rand(5, 5) + d = r_['1', b, c] # append columns + assert_(d.shape == (5, 10)) + assert_array_equal(d[:, :5], b) + assert_array_equal(d[:, 5:], c) + d = r_[b, c] + assert_(d.shape == (10, 5)) + assert_array_equal(d[:5, :], b) + assert_array_equal(d[5:, :], c) + + def test_0d(self): + assert_equal(r_[0, np.array(1), 2], [0, 1, 2]) + assert_equal(r_[[0, 1, 2], np.array(3)], [0, 1, 2, 3]) + assert_equal(r_[np.array(0), [1, 2, 3]], [0, 1, 2, 3]) + + +class TestNdenumerate: + def test_basic(self): + a = np.array([[1, 2], [3, 4]]) + assert_equal(list(ndenumerate(a)), + [((0, 0), 1), ((0, 1), 2), ((1, 0), 3), ((1, 1), 4)]) + + +class TestIndexExpression: + def test_regression_1(self): + # ticket #1196 + a = np.arange(2) + assert_equal(a[:-1], a[s_[:-1]]) + assert_equal(a[:-1], a[index_exp[:-1]]) + + def test_simple_1(self): + a = np.random.rand(4, 5, 6) + + assert_equal(a[:, :3, [1, 2]], a[index_exp[:, :3, [1, 2]]]) + assert_equal(a[:, :3, [1, 2]], a[s_[:, :3, [1, 2]]]) + + +class TestIx_: + def test_regression_1(self): + # Test empty untyped inputs create outputs of indexing type, gh-5804 + a, = np.ix_(range(0)) + assert_equal(a.dtype, np.intp) + + a, = np.ix_([]) + assert_equal(a.dtype, np.intp) + + # but if the type is specified, don't change it + a, = np.ix_(np.array([], dtype=np.float32)) + assert_equal(a.dtype, np.float32) + + def test_shape_and_dtype(self): + sizes = (4, 5, 3, 2) + # Test both lists and arrays + for func in (range, np.arange): + arrays = np.ix_(*[func(sz) for sz in sizes]) + for k, (a, sz) in enumerate(zip(arrays, sizes)): + assert_equal(a.shape[k], sz) + assert_(all(sh == 1 for j, sh in enumerate(a.shape) if j != k)) + assert_(np.issubdtype(a.dtype, np.integer)) + + def test_bool(self): + bool_a = [True, False, True, True] + int_a, = np.nonzero(bool_a) + assert_equal(np.ix_(bool_a)[0], int_a) + + def test_1d_only(self): + idx2d = [[1, 2, 3], [4, 5, 6]] + assert_raises(ValueError, np.ix_, idx2d) + + def test_repeated_input(self): + length_of_vector = 5 + x = np.arange(length_of_vector) + out = ix_(x, x) + assert_equal(out[0].shape, (length_of_vector, 1)) + assert_equal(out[1].shape, (1, length_of_vector)) + # check that input shape is not modified + assert_equal(x.shape, (length_of_vector,)) + + +def test_c_(): + a = np.c_[np.array([[1, 2, 3]]), 0, 0, np.array([[4, 5, 6]])] + assert_equal(a, [[1, 2, 3, 0, 0, 4, 5, 6]]) + + +class TestFillDiagonal: + def test_basic(self): + a = np.zeros((3, 3), int) + fill_diagonal(a, 5) + assert_array_equal( + a, np.array([[5, 0, 0], + [0, 5, 0], + [0, 0, 5]]) + ) + + def test_tall_matrix(self): + a = np.zeros((10, 3), int) + fill_diagonal(a, 5) + assert_array_equal( + a, np.array([[5, 0, 0], + [0, 5, 0], + [0, 0, 5], + [0, 0, 0], + [0, 0, 0], + [0, 0, 0], + [0, 0, 0], + [0, 0, 0], + [0, 0, 0], + [0, 0, 0]]) + ) + + def test_tall_matrix_wrap(self): + a = np.zeros((10, 3), int) + fill_diagonal(a, 5, True) + assert_array_equal( + a, np.array([[5, 0, 0], + [0, 5, 0], + [0, 0, 5], + [0, 0, 0], + [5, 0, 0], + [0, 5, 0], + [0, 0, 5], + [0, 0, 0], + [5, 0, 0], + [0, 5, 0]]) + ) + + def test_wide_matrix(self): + a = np.zeros((3, 10), int) + fill_diagonal(a, 5) + assert_array_equal( + a, np.array([[5, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 5, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 5, 0, 0, 0, 0, 0, 0, 0]]) + ) + + def test_operate_4d_array(self): + a = np.zeros((3, 3, 3, 3), int) + fill_diagonal(a, 4) + i = np.array([0, 1, 2]) + assert_equal(np.where(a != 0), (i, i, i, i)) + + def test_low_dim_handling(self): + # raise error with low dimensionality + a = np.zeros(3, int) + with assert_raises_regex(ValueError, "at least 2-d"): + fill_diagonal(a, 5) + + def test_hetero_shape_handling(self): + # raise error with high dimensionality and + # shape mismatch + a = np.zeros((3,3,7,3), int) + with assert_raises_regex(ValueError, "equal length"): + fill_diagonal(a, 2) + + +def test_diag_indices(): + di = diag_indices(4) + a = np.array([[1, 2, 3, 4], + [5, 6, 7, 8], + [9, 10, 11, 12], + [13, 14, 15, 16]]) + a[di] = 100 + assert_array_equal( + a, np.array([[100, 2, 3, 4], + [5, 100, 7, 8], + [9, 10, 100, 12], + [13, 14, 15, 100]]) + ) + + # Now, we create indices to manipulate a 3-d array: + d3 = diag_indices(2, 3) + + # And use it to set the diagonal of a zeros array to 1: + a = np.zeros((2, 2, 2), int) + a[d3] = 1 + assert_array_equal( + a, np.array([[[1, 0], + [0, 0]], + [[0, 0], + [0, 1]]]) + ) + + +class TestDiagIndicesFrom: + + def test_diag_indices_from(self): + x = np.random.random((4, 4)) + r, c = diag_indices_from(x) + assert_array_equal(r, np.arange(4)) + assert_array_equal(c, np.arange(4)) + + def test_error_small_input(self): + x = np.ones(7) + with assert_raises_regex(ValueError, "at least 2-d"): + diag_indices_from(x) + + def test_error_shape_mismatch(self): + x = np.zeros((3, 3, 2, 3), int) + with assert_raises_regex(ValueError, "equal length"): + diag_indices_from(x) + + +def test_ndindex(): + x = list(ndindex(1, 2, 3)) + expected = [ix for ix, e in ndenumerate(np.zeros((1, 2, 3)))] + assert_array_equal(x, expected) + + x = list(ndindex((1, 2, 3))) + assert_array_equal(x, expected) + + # Test use of scalars and tuples + x = list(ndindex((3,))) + assert_array_equal(x, list(ndindex(3))) + + # Make sure size argument is optional + x = list(ndindex()) + assert_equal(x, [()]) + + x = list(ndindex(())) + assert_equal(x, [()]) + + # Make sure 0-sized ndindex works correctly + x = list(ndindex(*[0])) + assert_equal(x, []) diff --git a/lib/python3.12/site-packages/numpy/lib/tests/test_io.py b/lib/python3.12/site-packages/numpy/lib/tests/test_io.py new file mode 100644 index 0000000000000000000000000000000000000000..c1032df8e1d338170c9cbd5cc2407d638ab4b85c --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/tests/test_io.py @@ -0,0 +1,2775 @@ +import sys +import gc +import gzip +import os +import threading +import time +import warnings +import io +import re +import pytest +from pathlib import Path +from tempfile import NamedTemporaryFile +from io import BytesIO, StringIO +from datetime import datetime +import locale +from multiprocessing import Value, get_context +from ctypes import c_bool + +import numpy as np +import numpy.ma as ma +from numpy.lib._iotools import ConverterError, ConversionWarning +from numpy.compat import asbytes +from numpy.ma.testutils import assert_equal +from numpy.testing import ( + assert_warns, assert_, assert_raises_regex, assert_raises, + assert_allclose, assert_array_equal, temppath, tempdir, IS_PYPY, + HAS_REFCOUNT, suppress_warnings, assert_no_gc_cycles, assert_no_warnings, + break_cycles, IS_WASM + ) +from numpy.testing._private.utils import requires_memory + + +class TextIO(BytesIO): + """Helper IO class. + + Writes encode strings to bytes if needed, reads return bytes. + This makes it easier to emulate files opened in binary mode + without needing to explicitly convert strings to bytes in + setting up the test data. + + """ + def __init__(self, s=""): + BytesIO.__init__(self, asbytes(s)) + + def write(self, s): + BytesIO.write(self, asbytes(s)) + + def writelines(self, lines): + BytesIO.writelines(self, [asbytes(s) for s in lines]) + + +IS_64BIT = sys.maxsize > 2**32 +try: + import bz2 + HAS_BZ2 = True +except ImportError: + HAS_BZ2 = False +try: + import lzma + HAS_LZMA = True +except ImportError: + HAS_LZMA = False + + +def strptime(s, fmt=None): + """ + This function is available in the datetime module only from Python >= + 2.5. + + """ + if type(s) == bytes: + s = s.decode("latin1") + return datetime(*time.strptime(s, fmt)[:3]) + + +class RoundtripTest: + def roundtrip(self, save_func, *args, **kwargs): + """ + save_func : callable + Function used to save arrays to file. + file_on_disk : bool + If true, store the file on disk, instead of in a + string buffer. + save_kwds : dict + Parameters passed to `save_func`. + load_kwds : dict + Parameters passed to `numpy.load`. + args : tuple of arrays + Arrays stored to file. + + """ + save_kwds = kwargs.get('save_kwds', {}) + load_kwds = kwargs.get('load_kwds', {"allow_pickle": True}) + file_on_disk = kwargs.get('file_on_disk', False) + + if file_on_disk: + target_file = NamedTemporaryFile(delete=False) + load_file = target_file.name + else: + target_file = BytesIO() + load_file = target_file + + try: + arr = args + + save_func(target_file, *arr, **save_kwds) + target_file.flush() + target_file.seek(0) + + if sys.platform == 'win32' and not isinstance(target_file, BytesIO): + target_file.close() + + arr_reloaded = np.load(load_file, **load_kwds) + + self.arr = arr + self.arr_reloaded = arr_reloaded + finally: + if not isinstance(target_file, BytesIO): + target_file.close() + # holds an open file descriptor so it can't be deleted on win + if 'arr_reloaded' in locals(): + if not isinstance(arr_reloaded, np.lib.npyio.NpzFile): + os.remove(target_file.name) + + def check_roundtrips(self, a): + self.roundtrip(a) + self.roundtrip(a, file_on_disk=True) + self.roundtrip(np.asfortranarray(a)) + self.roundtrip(np.asfortranarray(a), file_on_disk=True) + if a.shape[0] > 1: + # neither C nor Fortran contiguous for 2D arrays or more + self.roundtrip(np.asfortranarray(a)[1:]) + self.roundtrip(np.asfortranarray(a)[1:], file_on_disk=True) + + def test_array(self): + a = np.array([], float) + self.check_roundtrips(a) + + a = np.array([[1, 2], [3, 4]], float) + self.check_roundtrips(a) + + a = np.array([[1, 2], [3, 4]], int) + self.check_roundtrips(a) + + a = np.array([[1 + 5j, 2 + 6j], [3 + 7j, 4 + 8j]], dtype=np.csingle) + self.check_roundtrips(a) + + a = np.array([[1 + 5j, 2 + 6j], [3 + 7j, 4 + 8j]], dtype=np.cdouble) + self.check_roundtrips(a) + + def test_array_object(self): + a = np.array([], object) + self.check_roundtrips(a) + + a = np.array([[1, 2], [3, 4]], object) + self.check_roundtrips(a) + + def test_1D(self): + a = np.array([1, 2, 3, 4], int) + self.roundtrip(a) + + @pytest.mark.skipif(sys.platform == 'win32', reason="Fails on Win32") + def test_mmap(self): + a = np.array([[1, 2.5], [4, 7.3]]) + self.roundtrip(a, file_on_disk=True, load_kwds={'mmap_mode': 'r'}) + + a = np.asfortranarray([[1, 2.5], [4, 7.3]]) + self.roundtrip(a, file_on_disk=True, load_kwds={'mmap_mode': 'r'}) + + def test_record(self): + a = np.array([(1, 2), (3, 4)], dtype=[('x', 'i4'), ('y', 'i4')]) + self.check_roundtrips(a) + + @pytest.mark.slow + def test_format_2_0(self): + dt = [(("%d" % i) * 100, float) for i in range(500)] + a = np.ones(1000, dtype=dt) + with warnings.catch_warnings(record=True): + warnings.filterwarnings('always', '', UserWarning) + self.check_roundtrips(a) + + +class TestSaveLoad(RoundtripTest): + def roundtrip(self, *args, **kwargs): + RoundtripTest.roundtrip(self, np.save, *args, **kwargs) + assert_equal(self.arr[0], self.arr_reloaded) + assert_equal(self.arr[0].dtype, self.arr_reloaded.dtype) + assert_equal(self.arr[0].flags.fnc, self.arr_reloaded.flags.fnc) + + +class TestSavezLoad(RoundtripTest): + def roundtrip(self, *args, **kwargs): + RoundtripTest.roundtrip(self, np.savez, *args, **kwargs) + try: + for n, arr in enumerate(self.arr): + reloaded = self.arr_reloaded['arr_%d' % n] + assert_equal(arr, reloaded) + assert_equal(arr.dtype, reloaded.dtype) + assert_equal(arr.flags.fnc, reloaded.flags.fnc) + finally: + # delete tempfile, must be done here on windows + if self.arr_reloaded.fid: + self.arr_reloaded.fid.close() + os.remove(self.arr_reloaded.fid.name) + + @pytest.mark.skipif(IS_PYPY, reason="Hangs on PyPy") + @pytest.mark.skipif(not IS_64BIT, reason="Needs 64bit platform") + @pytest.mark.slow + def test_big_arrays(self): + L = (1 << 31) + 100000 + a = np.empty(L, dtype=np.uint8) + with temppath(prefix="numpy_test_big_arrays_", suffix=".npz") as tmp: + np.savez(tmp, a=a) + del a + npfile = np.load(tmp) + a = npfile['a'] # Should succeed + npfile.close() + del a # Avoid pyflakes unused variable warning. + + def test_multiple_arrays(self): + a = np.array([[1, 2], [3, 4]], float) + b = np.array([[1 + 2j, 2 + 7j], [3 - 6j, 4 + 12j]], complex) + self.roundtrip(a, b) + + def test_named_arrays(self): + a = np.array([[1, 2], [3, 4]], float) + b = np.array([[1 + 2j, 2 + 7j], [3 - 6j, 4 + 12j]], complex) + c = BytesIO() + np.savez(c, file_a=a, file_b=b) + c.seek(0) + l = np.load(c) + assert_equal(a, l['file_a']) + assert_equal(b, l['file_b']) + + + def test_tuple_getitem_raises(self): + # gh-23748 + a = np.array([1, 2, 3]) + f = BytesIO() + np.savez(f, a=a) + f.seek(0) + l = np.load(f) + with pytest.raises(KeyError, match="(1, 2)"): + l[1, 2] + + def test_BagObj(self): + a = np.array([[1, 2], [3, 4]], float) + b = np.array([[1 + 2j, 2 + 7j], [3 - 6j, 4 + 12j]], complex) + c = BytesIO() + np.savez(c, file_a=a, file_b=b) + c.seek(0) + l = np.load(c) + assert_equal(sorted(dir(l.f)), ['file_a','file_b']) + assert_equal(a, l.f.file_a) + assert_equal(b, l.f.file_b) + + @pytest.mark.skipif(IS_WASM, reason="Cannot start thread") + def test_savez_filename_clashes(self): + # Test that issue #852 is fixed + # and savez functions in multithreaded environment + + def writer(error_list): + with temppath(suffix='.npz') as tmp: + arr = np.random.randn(500, 500) + try: + np.savez(tmp, arr=arr) + except OSError as err: + error_list.append(err) + + errors = [] + threads = [threading.Thread(target=writer, args=(errors,)) + for j in range(3)] + for t in threads: + t.start() + for t in threads: + t.join() + + if errors: + raise AssertionError(errors) + + def test_not_closing_opened_fid(self): + # Test that issue #2178 is fixed: + # verify could seek on 'loaded' file + with temppath(suffix='.npz') as tmp: + with open(tmp, 'wb') as fp: + np.savez(fp, data='LOVELY LOAD') + with open(tmp, 'rb', 10000) as fp: + fp.seek(0) + assert_(not fp.closed) + np.load(fp)['data'] + # fp must not get closed by .load + assert_(not fp.closed) + fp.seek(0) + assert_(not fp.closed) + + @pytest.mark.slow_pypy + def test_closing_fid(self): + # Test that issue #1517 (too many opened files) remains closed + # It might be a "weak" test since failed to get triggered on + # e.g. Debian sid of 2012 Jul 05 but was reported to + # trigger the failure on Ubuntu 10.04: + # http://projects.scipy.org/numpy/ticket/1517#comment:2 + with temppath(suffix='.npz') as tmp: + np.savez(tmp, data='LOVELY LOAD') + # We need to check if the garbage collector can properly close + # numpy npz file returned by np.load when their reference count + # goes to zero. Python 3 running in debug mode raises a + # ResourceWarning when file closing is left to the garbage + # collector, so we catch the warnings. + with suppress_warnings() as sup: + sup.filter(ResourceWarning) # TODO: specify exact message + for i in range(1, 1025): + try: + np.load(tmp)["data"] + except Exception as e: + msg = "Failed to load data from a file: %s" % e + raise AssertionError(msg) + finally: + if IS_PYPY: + gc.collect() + + def test_closing_zipfile_after_load(self): + # Check that zipfile owns file and can close it. This needs to + # pass a file name to load for the test. On windows failure will + # cause a second error will be raised when the attempt to remove + # the open file is made. + prefix = 'numpy_test_closing_zipfile_after_load_' + with temppath(suffix='.npz', prefix=prefix) as tmp: + np.savez(tmp, lab='place holder') + data = np.load(tmp) + fp = data.zip.fp + data.close() + assert_(fp.closed) + + @pytest.mark.parametrize("count, expected_repr", [ + (1, "NpzFile {fname!r} with keys: arr_0"), + (5, "NpzFile {fname!r} with keys: arr_0, arr_1, arr_2, arr_3, arr_4"), + # _MAX_REPR_ARRAY_COUNT is 5, so files with more than 5 keys are + # expected to end in '...' + (6, "NpzFile {fname!r} with keys: arr_0, arr_1, arr_2, arr_3, arr_4..."), + ]) + def test_repr_lists_keys(self, count, expected_repr): + a = np.array([[1, 2], [3, 4]], float) + with temppath(suffix='.npz') as tmp: + np.savez(tmp, *[a]*count) + l = np.load(tmp) + assert repr(l) == expected_repr.format(fname=tmp) + l.close() + + +class TestSaveTxt: + def test_array(self): + a = np.array([[1, 2], [3, 4]], float) + fmt = "%.18e" + c = BytesIO() + np.savetxt(c, a, fmt=fmt) + c.seek(0) + assert_equal(c.readlines(), + [asbytes((fmt + ' ' + fmt + '\n') % (1, 2)), + asbytes((fmt + ' ' + fmt + '\n') % (3, 4))]) + + a = np.array([[1, 2], [3, 4]], int) + c = BytesIO() + np.savetxt(c, a, fmt='%d') + c.seek(0) + assert_equal(c.readlines(), [b'1 2\n', b'3 4\n']) + + def test_1D(self): + a = np.array([1, 2, 3, 4], int) + c = BytesIO() + np.savetxt(c, a, fmt='%d') + c.seek(0) + lines = c.readlines() + assert_equal(lines, [b'1\n', b'2\n', b'3\n', b'4\n']) + + def test_0D_3D(self): + c = BytesIO() + assert_raises(ValueError, np.savetxt, c, np.array(1)) + assert_raises(ValueError, np.savetxt, c, np.array([[[1], [2]]])) + + def test_structured(self): + a = np.array([(1, 2), (3, 4)], dtype=[('x', 'i4'), ('y', 'i4')]) + c = BytesIO() + np.savetxt(c, a, fmt='%d') + c.seek(0) + assert_equal(c.readlines(), [b'1 2\n', b'3 4\n']) + + def test_structured_padded(self): + # gh-13297 + a = np.array([(1, 2, 3),(4, 5, 6)], dtype=[ + ('foo', 'i4'), ('bar', 'i4'), ('baz', 'i4') + ]) + c = BytesIO() + np.savetxt(c, a[['foo', 'baz']], fmt='%d') + c.seek(0) + assert_equal(c.readlines(), [b'1 3\n', b'4 6\n']) + + def test_multifield_view(self): + a = np.ones(1, dtype=[('x', 'i4'), ('y', 'i4'), ('z', 'f4')]) + v = a[['x', 'z']] + with temppath(suffix='.npy') as path: + path = Path(path) + np.save(path, v) + data = np.load(path) + assert_array_equal(data, v) + + def test_delimiter(self): + a = np.array([[1., 2.], [3., 4.]]) + c = BytesIO() + np.savetxt(c, a, delimiter=',', fmt='%d') + c.seek(0) + assert_equal(c.readlines(), [b'1,2\n', b'3,4\n']) + + def test_format(self): + a = np.array([(1, 2), (3, 4)]) + c = BytesIO() + # Sequence of formats + np.savetxt(c, a, fmt=['%02d', '%3.1f']) + c.seek(0) + assert_equal(c.readlines(), [b'01 2.0\n', b'03 4.0\n']) + + # A single multiformat string + c = BytesIO() + np.savetxt(c, a, fmt='%02d : %3.1f') + c.seek(0) + lines = c.readlines() + assert_equal(lines, [b'01 : 2.0\n', b'03 : 4.0\n']) + + # Specify delimiter, should be overridden + c = BytesIO() + np.savetxt(c, a, fmt='%02d : %3.1f', delimiter=',') + c.seek(0) + lines = c.readlines() + assert_equal(lines, [b'01 : 2.0\n', b'03 : 4.0\n']) + + # Bad fmt, should raise a ValueError + c = BytesIO() + assert_raises(ValueError, np.savetxt, c, a, fmt=99) + + def test_header_footer(self): + # Test the functionality of the header and footer keyword argument. + + c = BytesIO() + a = np.array([(1, 2), (3, 4)], dtype=int) + test_header_footer = 'Test header / footer' + # Test the header keyword argument + np.savetxt(c, a, fmt='%1d', header=test_header_footer) + c.seek(0) + assert_equal(c.read(), + asbytes('# ' + test_header_footer + '\n1 2\n3 4\n')) + # Test the footer keyword argument + c = BytesIO() + np.savetxt(c, a, fmt='%1d', footer=test_header_footer) + c.seek(0) + assert_equal(c.read(), + asbytes('1 2\n3 4\n# ' + test_header_footer + '\n')) + # Test the commentstr keyword argument used on the header + c = BytesIO() + commentstr = '% ' + np.savetxt(c, a, fmt='%1d', + header=test_header_footer, comments=commentstr) + c.seek(0) + assert_equal(c.read(), + asbytes(commentstr + test_header_footer + '\n' + '1 2\n3 4\n')) + # Test the commentstr keyword argument used on the footer + c = BytesIO() + commentstr = '% ' + np.savetxt(c, a, fmt='%1d', + footer=test_header_footer, comments=commentstr) + c.seek(0) + assert_equal(c.read(), + asbytes('1 2\n3 4\n' + commentstr + test_header_footer + '\n')) + + def test_file_roundtrip(self): + with temppath() as name: + a = np.array([(1, 2), (3, 4)]) + np.savetxt(name, a) + b = np.loadtxt(name) + assert_array_equal(a, b) + + def test_complex_arrays(self): + ncols = 2 + nrows = 2 + a = np.zeros((ncols, nrows), dtype=np.complex128) + re = np.pi + im = np.e + a[:] = re + 1.0j * im + + # One format only + c = BytesIO() + np.savetxt(c, a, fmt=' %+.3e') + c.seek(0) + lines = c.readlines() + assert_equal( + lines, + [b' ( +3.142e+00+ +2.718e+00j) ( +3.142e+00+ +2.718e+00j)\n', + b' ( +3.142e+00+ +2.718e+00j) ( +3.142e+00+ +2.718e+00j)\n']) + + # One format for each real and imaginary part + c = BytesIO() + np.savetxt(c, a, fmt=' %+.3e' * 2 * ncols) + c.seek(0) + lines = c.readlines() + assert_equal( + lines, + [b' +3.142e+00 +2.718e+00 +3.142e+00 +2.718e+00\n', + b' +3.142e+00 +2.718e+00 +3.142e+00 +2.718e+00\n']) + + # One format for each complex number + c = BytesIO() + np.savetxt(c, a, fmt=['(%.3e%+.3ej)'] * ncols) + c.seek(0) + lines = c.readlines() + assert_equal( + lines, + [b'(3.142e+00+2.718e+00j) (3.142e+00+2.718e+00j)\n', + b'(3.142e+00+2.718e+00j) (3.142e+00+2.718e+00j)\n']) + + def test_complex_negative_exponent(self): + # Previous to 1.15, some formats generated x+-yj, gh 7895 + ncols = 2 + nrows = 2 + a = np.zeros((ncols, nrows), dtype=np.complex128) + re = np.pi + im = np.e + a[:] = re - 1.0j * im + c = BytesIO() + np.savetxt(c, a, fmt='%.3e') + c.seek(0) + lines = c.readlines() + assert_equal( + lines, + [b' (3.142e+00-2.718e+00j) (3.142e+00-2.718e+00j)\n', + b' (3.142e+00-2.718e+00j) (3.142e+00-2.718e+00j)\n']) + + + def test_custom_writer(self): + + class CustomWriter(list): + def write(self, text): + self.extend(text.split(b'\n')) + + w = CustomWriter() + a = np.array([(1, 2), (3, 4)]) + np.savetxt(w, a) + b = np.loadtxt(w) + assert_array_equal(a, b) + + def test_unicode(self): + utf8 = b'\xcf\x96'.decode('UTF-8') + a = np.array([utf8], dtype=np.str_) + with tempdir() as tmpdir: + # set encoding as on windows it may not be unicode even on py3 + np.savetxt(os.path.join(tmpdir, 'test.csv'), a, fmt=['%s'], + encoding='UTF-8') + + def test_unicode_roundtrip(self): + utf8 = b'\xcf\x96'.decode('UTF-8') + a = np.array([utf8], dtype=np.str_) + # our gz wrapper support encoding + suffixes = ['', '.gz'] + if HAS_BZ2: + suffixes.append('.bz2') + if HAS_LZMA: + suffixes.extend(['.xz', '.lzma']) + with tempdir() as tmpdir: + for suffix in suffixes: + np.savetxt(os.path.join(tmpdir, 'test.csv' + suffix), a, + fmt=['%s'], encoding='UTF-16-LE') + b = np.loadtxt(os.path.join(tmpdir, 'test.csv' + suffix), + encoding='UTF-16-LE', dtype=np.str_) + assert_array_equal(a, b) + + def test_unicode_bytestream(self): + utf8 = b'\xcf\x96'.decode('UTF-8') + a = np.array([utf8], dtype=np.str_) + s = BytesIO() + np.savetxt(s, a, fmt=['%s'], encoding='UTF-8') + s.seek(0) + assert_equal(s.read().decode('UTF-8'), utf8 + '\n') + + def test_unicode_stringstream(self): + utf8 = b'\xcf\x96'.decode('UTF-8') + a = np.array([utf8], dtype=np.str_) + s = StringIO() + np.savetxt(s, a, fmt=['%s'], encoding='UTF-8') + s.seek(0) + assert_equal(s.read(), utf8 + '\n') + + @pytest.mark.parametrize("fmt", ["%f", b"%f"]) + @pytest.mark.parametrize("iotype", [StringIO, BytesIO]) + def test_unicode_and_bytes_fmt(self, fmt, iotype): + # string type of fmt should not matter, see also gh-4053 + a = np.array([1.]) + s = iotype() + np.savetxt(s, a, fmt=fmt) + s.seek(0) + if iotype is StringIO: + assert_equal(s.read(), "%f\n" % 1.) + else: + assert_equal(s.read(), b"%f\n" % 1.) + + @pytest.mark.skipif(sys.platform=='win32', reason="files>4GB may not work") + @pytest.mark.slow + @requires_memory(free_bytes=7e9) + def test_large_zip(self): + def check_large_zip(memoryerror_raised): + memoryerror_raised.value = False + try: + # The test takes at least 6GB of memory, writes a file larger + # than 4GB. This tests the ``allowZip64`` kwarg to ``zipfile`` + test_data = np.asarray([np.random.rand( + np.random.randint(50,100),4) + for i in range(800000)], dtype=object) + with tempdir() as tmpdir: + np.savez(os.path.join(tmpdir, 'test.npz'), + test_data=test_data) + except MemoryError: + memoryerror_raised.value = True + raise + # run in a subprocess to ensure memory is released on PyPy, see gh-15775 + # Use an object in shared memory to re-raise the MemoryError exception + # in our process if needed, see gh-16889 + memoryerror_raised = Value(c_bool) + + # Since Python 3.8, the default start method for multiprocessing has + # been changed from 'fork' to 'spawn' on macOS, causing inconsistency + # on memory sharing model, lead to failed test for check_large_zip + ctx = get_context('fork') + p = ctx.Process(target=check_large_zip, args=(memoryerror_raised,)) + p.start() + p.join() + if memoryerror_raised.value: + raise MemoryError("Child process raised a MemoryError exception") + # -9 indicates a SIGKILL, probably an OOM. + if p.exitcode == -9: + pytest.xfail("subprocess got a SIGKILL, apparently free memory was not sufficient") + assert p.exitcode == 0 + +class LoadTxtBase: + def check_compressed(self, fopen, suffixes): + # Test that we can load data from a compressed file + wanted = np.arange(6).reshape((2, 3)) + linesep = ('\n', '\r\n', '\r') + for sep in linesep: + data = '0 1 2' + sep + '3 4 5' + for suffix in suffixes: + with temppath(suffix=suffix) as name: + with fopen(name, mode='wt', encoding='UTF-32-LE') as f: + f.write(data) + res = self.loadfunc(name, encoding='UTF-32-LE') + assert_array_equal(res, wanted) + with fopen(name, "rt", encoding='UTF-32-LE') as f: + res = self.loadfunc(f) + assert_array_equal(res, wanted) + + def test_compressed_gzip(self): + self.check_compressed(gzip.open, ('.gz',)) + + @pytest.mark.skipif(not HAS_BZ2, reason="Needs bz2") + def test_compressed_bz2(self): + self.check_compressed(bz2.open, ('.bz2',)) + + @pytest.mark.skipif(not HAS_LZMA, reason="Needs lzma") + def test_compressed_lzma(self): + self.check_compressed(lzma.open, ('.xz', '.lzma')) + + def test_encoding(self): + with temppath() as path: + with open(path, "wb") as f: + f.write('0.\n1.\n2.'.encode("UTF-16")) + x = self.loadfunc(path, encoding="UTF-16") + assert_array_equal(x, [0., 1., 2.]) + + def test_stringload(self): + # umlaute + nonascii = b'\xc3\xb6\xc3\xbc\xc3\xb6'.decode("UTF-8") + with temppath() as path: + with open(path, "wb") as f: + f.write(nonascii.encode("UTF-16")) + x = self.loadfunc(path, encoding="UTF-16", dtype=np.str_) + assert_array_equal(x, nonascii) + + def test_binary_decode(self): + utf16 = b'\xff\xfeh\x04 \x00i\x04 \x00j\x04' + v = self.loadfunc(BytesIO(utf16), dtype=np.str_, encoding='UTF-16') + assert_array_equal(v, np.array(utf16.decode('UTF-16').split())) + + def test_converters_decode(self): + # test converters that decode strings + c = TextIO() + c.write(b'\xcf\x96') + c.seek(0) + x = self.loadfunc(c, dtype=np.str_, + converters={0: lambda x: x.decode('UTF-8')}) + a = np.array([b'\xcf\x96'.decode('UTF-8')]) + assert_array_equal(x, a) + + def test_converters_nodecode(self): + # test native string converters enabled by setting an encoding + utf8 = b'\xcf\x96'.decode('UTF-8') + with temppath() as path: + with io.open(path, 'wt', encoding='UTF-8') as f: + f.write(utf8) + x = self.loadfunc(path, dtype=np.str_, + converters={0: lambda x: x + 't'}, + encoding='UTF-8') + a = np.array([utf8 + 't']) + assert_array_equal(x, a) + + +class TestLoadTxt(LoadTxtBase): + loadfunc = staticmethod(np.loadtxt) + + def setup_method(self): + # lower chunksize for testing + self.orig_chunk = np.lib.npyio._loadtxt_chunksize + np.lib.npyio._loadtxt_chunksize = 1 + + def teardown_method(self): + np.lib.npyio._loadtxt_chunksize = self.orig_chunk + + def test_record(self): + c = TextIO() + c.write('1 2\n3 4') + c.seek(0) + x = np.loadtxt(c, dtype=[('x', np.int32), ('y', np.int32)]) + a = np.array([(1, 2), (3, 4)], dtype=[('x', 'i4'), ('y', 'i4')]) + assert_array_equal(x, a) + + d = TextIO() + d.write('M 64 75.0\nF 25 60.0') + d.seek(0) + mydescriptor = {'names': ('gender', 'age', 'weight'), + 'formats': ('S1', 'i4', 'f4')} + b = np.array([('M', 64.0, 75.0), + ('F', 25.0, 60.0)], dtype=mydescriptor) + y = np.loadtxt(d, dtype=mydescriptor) + assert_array_equal(y, b) + + def test_array(self): + c = TextIO() + c.write('1 2\n3 4') + + c.seek(0) + x = np.loadtxt(c, dtype=int) + a = np.array([[1, 2], [3, 4]], int) + assert_array_equal(x, a) + + c.seek(0) + x = np.loadtxt(c, dtype=float) + a = np.array([[1, 2], [3, 4]], float) + assert_array_equal(x, a) + + def test_1D(self): + c = TextIO() + c.write('1\n2\n3\n4\n') + c.seek(0) + x = np.loadtxt(c, dtype=int) + a = np.array([1, 2, 3, 4], int) + assert_array_equal(x, a) + + c = TextIO() + c.write('1,2,3,4\n') + c.seek(0) + x = np.loadtxt(c, dtype=int, delimiter=',') + a = np.array([1, 2, 3, 4], int) + assert_array_equal(x, a) + + def test_missing(self): + c = TextIO() + c.write('1,2,3,,5\n') + c.seek(0) + x = np.loadtxt(c, dtype=int, delimiter=',', + converters={3: lambda s: int(s or - 999)}) + a = np.array([1, 2, 3, -999, 5], int) + assert_array_equal(x, a) + + def test_converters_with_usecols(self): + c = TextIO() + c.write('1,2,3,,5\n6,7,8,9,10\n') + c.seek(0) + x = np.loadtxt(c, dtype=int, delimiter=',', + converters={3: lambda s: int(s or - 999)}, + usecols=(1, 3,)) + a = np.array([[2, -999], [7, 9]], int) + assert_array_equal(x, a) + + def test_comments_unicode(self): + c = TextIO() + c.write('# comment\n1,2,3,5\n') + c.seek(0) + x = np.loadtxt(c, dtype=int, delimiter=',', + comments='#') + a = np.array([1, 2, 3, 5], int) + assert_array_equal(x, a) + + def test_comments_byte(self): + c = TextIO() + c.write('# comment\n1,2,3,5\n') + c.seek(0) + x = np.loadtxt(c, dtype=int, delimiter=',', + comments=b'#') + a = np.array([1, 2, 3, 5], int) + assert_array_equal(x, a) + + def test_comments_multiple(self): + c = TextIO() + c.write('# comment\n1,2,3\n@ comment2\n4,5,6 // comment3') + c.seek(0) + x = np.loadtxt(c, dtype=int, delimiter=',', + comments=['#', '@', '//']) + a = np.array([[1, 2, 3], [4, 5, 6]], int) + assert_array_equal(x, a) + + @pytest.mark.skipif(IS_PYPY and sys.implementation.version <= (7, 3, 8), + reason="PyPy bug in error formatting") + def test_comments_multi_chars(self): + c = TextIO() + c.write('/* comment\n1,2,3,5\n') + c.seek(0) + x = np.loadtxt(c, dtype=int, delimiter=',', + comments='/*') + a = np.array([1, 2, 3, 5], int) + assert_array_equal(x, a) + + # Check that '/*' is not transformed to ['/', '*'] + c = TextIO() + c.write('*/ comment\n1,2,3,5\n') + c.seek(0) + assert_raises(ValueError, np.loadtxt, c, dtype=int, delimiter=',', + comments='/*') + + def test_skiprows(self): + c = TextIO() + c.write('comment\n1,2,3,5\n') + c.seek(0) + x = np.loadtxt(c, dtype=int, delimiter=',', + skiprows=1) + a = np.array([1, 2, 3, 5], int) + assert_array_equal(x, a) + + c = TextIO() + c.write('# comment\n1,2,3,5\n') + c.seek(0) + x = np.loadtxt(c, dtype=int, delimiter=',', + skiprows=1) + a = np.array([1, 2, 3, 5], int) + assert_array_equal(x, a) + + def test_usecols(self): + a = np.array([[1, 2], [3, 4]], float) + c = BytesIO() + np.savetxt(c, a) + c.seek(0) + x = np.loadtxt(c, dtype=float, usecols=(1,)) + assert_array_equal(x, a[:, 1]) + + a = np.array([[1, 2, 3], [3, 4, 5]], float) + c = BytesIO() + np.savetxt(c, a) + c.seek(0) + x = np.loadtxt(c, dtype=float, usecols=(1, 2)) + assert_array_equal(x, a[:, 1:]) + + # Testing with arrays instead of tuples. + c.seek(0) + x = np.loadtxt(c, dtype=float, usecols=np.array([1, 2])) + assert_array_equal(x, a[:, 1:]) + + # Testing with an integer instead of a sequence + for int_type in [int, np.int8, np.int16, + np.int32, np.int64, np.uint8, np.uint16, + np.uint32, np.uint64]: + to_read = int_type(1) + c.seek(0) + x = np.loadtxt(c, dtype=float, usecols=to_read) + assert_array_equal(x, a[:, 1]) + + # Testing with some crazy custom integer type + class CrazyInt: + def __index__(self): + return 1 + + crazy_int = CrazyInt() + c.seek(0) + x = np.loadtxt(c, dtype=float, usecols=crazy_int) + assert_array_equal(x, a[:, 1]) + + c.seek(0) + x = np.loadtxt(c, dtype=float, usecols=(crazy_int,)) + assert_array_equal(x, a[:, 1]) + + # Checking with dtypes defined converters. + data = '''JOE 70.1 25.3 + BOB 60.5 27.9 + ''' + c = TextIO(data) + names = ['stid', 'temp'] + dtypes = ['S4', 'f8'] + arr = np.loadtxt(c, usecols=(0, 2), dtype=list(zip(names, dtypes))) + assert_equal(arr['stid'], [b"JOE", b"BOB"]) + assert_equal(arr['temp'], [25.3, 27.9]) + + # Testing non-ints in usecols + c.seek(0) + bogus_idx = 1.5 + assert_raises_regex( + TypeError, + '^usecols must be.*%s' % type(bogus_idx).__name__, + np.loadtxt, c, usecols=bogus_idx + ) + + assert_raises_regex( + TypeError, + '^usecols must be.*%s' % type(bogus_idx).__name__, + np.loadtxt, c, usecols=[0, bogus_idx, 0] + ) + + def test_bad_usecols(self): + with pytest.raises(OverflowError): + np.loadtxt(["1\n"], usecols=[2**64], delimiter=",") + with pytest.raises((ValueError, OverflowError)): + # Overflow error on 32bit platforms + np.loadtxt(["1\n"], usecols=[2**62], delimiter=",") + with pytest.raises(TypeError, + match="If a structured dtype .*. But 1 usecols were given and " + "the number of fields is 3."): + np.loadtxt(["1,1\n"], dtype="i,(2)i", usecols=[0], delimiter=",") + + def test_fancy_dtype(self): + c = TextIO() + c.write('1,2,3.0\n4,5,6.0\n') + c.seek(0) + dt = np.dtype([('x', int), ('y', [('t', int), ('s', float)])]) + x = np.loadtxt(c, dtype=dt, delimiter=',') + a = np.array([(1, (2, 3.0)), (4, (5, 6.0))], dt) + assert_array_equal(x, a) + + def test_shaped_dtype(self): + c = TextIO("aaaa 1.0 8.0 1 2 3 4 5 6") + dt = np.dtype([('name', 'S4'), ('x', float), ('y', float), + ('block', int, (2, 3))]) + x = np.loadtxt(c, dtype=dt) + a = np.array([('aaaa', 1.0, 8.0, [[1, 2, 3], [4, 5, 6]])], + dtype=dt) + assert_array_equal(x, a) + + def test_3d_shaped_dtype(self): + c = TextIO("aaaa 1.0 8.0 1 2 3 4 5 6 7 8 9 10 11 12") + dt = np.dtype([('name', 'S4'), ('x', float), ('y', float), + ('block', int, (2, 2, 3))]) + x = np.loadtxt(c, dtype=dt) + a = np.array([('aaaa', 1.0, 8.0, + [[[1, 2, 3], [4, 5, 6]], [[7, 8, 9], [10, 11, 12]]])], + dtype=dt) + assert_array_equal(x, a) + + def test_str_dtype(self): + # see gh-8033 + c = ["str1", "str2"] + + for dt in (str, np.bytes_): + a = np.array(["str1", "str2"], dtype=dt) + x = np.loadtxt(c, dtype=dt) + assert_array_equal(x, a) + + def test_empty_file(self): + with pytest.warns(UserWarning, match="input contained no data"): + c = TextIO() + x = np.loadtxt(c) + assert_equal(x.shape, (0,)) + x = np.loadtxt(c, dtype=np.int64) + assert_equal(x.shape, (0,)) + assert_(x.dtype == np.int64) + + def test_unused_converter(self): + c = TextIO() + c.writelines(['1 21\n', '3 42\n']) + c.seek(0) + data = np.loadtxt(c, usecols=(1,), + converters={0: lambda s: int(s, 16)}) + assert_array_equal(data, [21, 42]) + + c.seek(0) + data = np.loadtxt(c, usecols=(1,), + converters={1: lambda s: int(s, 16)}) + assert_array_equal(data, [33, 66]) + + def test_dtype_with_object(self): + # Test using an explicit dtype with an object + data = """ 1; 2001-01-01 + 2; 2002-01-31 """ + ndtype = [('idx', int), ('code', object)] + func = lambda s: strptime(s.strip(), "%Y-%m-%d") + converters = {1: func} + test = np.loadtxt(TextIO(data), delimiter=";", dtype=ndtype, + converters=converters) + control = np.array( + [(1, datetime(2001, 1, 1)), (2, datetime(2002, 1, 31))], + dtype=ndtype) + assert_equal(test, control) + + def test_uint64_type(self): + tgt = (9223372043271415339, 9223372043271415853) + c = TextIO() + c.write("%s %s" % tgt) + c.seek(0) + res = np.loadtxt(c, dtype=np.uint64) + assert_equal(res, tgt) + + def test_int64_type(self): + tgt = (-9223372036854775807, 9223372036854775807) + c = TextIO() + c.write("%s %s" % tgt) + c.seek(0) + res = np.loadtxt(c, dtype=np.int64) + assert_equal(res, tgt) + + def test_from_float_hex(self): + # IEEE doubles and floats only, otherwise the float32 + # conversion may fail. + tgt = np.logspace(-10, 10, 5).astype(np.float32) + tgt = np.hstack((tgt, -tgt)).astype(float) + inp = '\n'.join(map(float.hex, tgt)) + c = TextIO() + c.write(inp) + for dt in [float, np.float32]: + c.seek(0) + res = np.loadtxt( + c, dtype=dt, converters=float.fromhex, encoding="latin1") + assert_equal(res, tgt, err_msg="%s" % dt) + + @pytest.mark.skipif(IS_PYPY and sys.implementation.version <= (7, 3, 8), + reason="PyPy bug in error formatting") + def test_default_float_converter_no_default_hex_conversion(self): + """ + Ensure that fromhex is only used for values with the correct prefix and + is not called by default. Regression test related to gh-19598. + """ + c = TextIO("a b c") + with pytest.raises(ValueError, + match=".*convert string 'a' to float64 at row 0, column 1"): + np.loadtxt(c) + + @pytest.mark.skipif(IS_PYPY and sys.implementation.version <= (7, 3, 8), + reason="PyPy bug in error formatting") + def test_default_float_converter_exception(self): + """ + Ensure that the exception message raised during failed floating point + conversion is correct. Regression test related to gh-19598. + """ + c = TextIO("qrs tuv") # Invalid values for default float converter + with pytest.raises(ValueError, + match="could not convert string 'qrs' to float64"): + np.loadtxt(c) + + def test_from_complex(self): + tgt = (complex(1, 1), complex(1, -1)) + c = TextIO() + c.write("%s %s" % tgt) + c.seek(0) + res = np.loadtxt(c, dtype=complex) + assert_equal(res, tgt) + + def test_complex_misformatted(self): + # test for backward compatibility + # some complex formats used to generate x+-yj + a = np.zeros((2, 2), dtype=np.complex128) + re = np.pi + im = np.e + a[:] = re - 1.0j * im + c = BytesIO() + np.savetxt(c, a, fmt='%.16e') + c.seek(0) + txt = c.read() + c.seek(0) + # misformat the sign on the imaginary part, gh 7895 + txt_bad = txt.replace(b'e+00-', b'e00+-') + assert_(txt_bad != txt) + c.write(txt_bad) + c.seek(0) + res = np.loadtxt(c, dtype=complex) + assert_equal(res, a) + + def test_universal_newline(self): + with temppath() as name: + with open(name, 'w') as f: + f.write('1 21\r3 42\r') + data = np.loadtxt(name) + assert_array_equal(data, [[1, 21], [3, 42]]) + + def test_empty_field_after_tab(self): + c = TextIO() + c.write('1 \t2 \t3\tstart \n4\t5\t6\t \n7\t8\t9.5\t') + c.seek(0) + dt = {'names': ('x', 'y', 'z', 'comment'), + 'formats': (' num rows + c = TextIO() + c.write('comment\n1,2,3,5\n4,5,7,8\n2,1,4,5') + c.seek(0) + x = np.loadtxt(c, dtype=int, delimiter=',', + skiprows=1, max_rows=6) + a = np.array([[1, 2, 3, 5], [4, 5, 7, 8], [2, 1, 4, 5]], int) + assert_array_equal(x, a) + + @pytest.mark.parametrize(["skip", "data"], [ + (1, ["ignored\n", "1,2\n", "\n", "3,4\n"]), + # "Bad" lines that do not end in newlines: + (1, ["ignored", "1,2", "", "3,4"]), + (1, StringIO("ignored\n1,2\n\n3,4")), + # Same as above, but do not skip any lines: + (0, ["-1,0\n", "1,2\n", "\n", "3,4\n"]), + (0, ["-1,0", "1,2", "", "3,4"]), + (0, StringIO("-1,0\n1,2\n\n3,4"))]) + def test_max_rows_empty_lines(self, skip, data): + with pytest.warns(UserWarning, + match=f"Input line 3.*max_rows={3-skip}"): + res = np.loadtxt(data, dtype=int, skiprows=skip, delimiter=",", + max_rows=3-skip) + assert_array_equal(res, [[-1, 0], [1, 2], [3, 4]][skip:]) + + if isinstance(data, StringIO): + data.seek(0) + + with warnings.catch_warnings(): + warnings.simplefilter("error", UserWarning) + with pytest.raises(UserWarning): + np.loadtxt(data, dtype=int, skiprows=skip, delimiter=",", + max_rows=3-skip) + +class Testfromregex: + def test_record(self): + c = TextIO() + c.write('1.312 foo\n1.534 bar\n4.444 qux') + c.seek(0) + + dt = [('num', np.float64), ('val', 'S3')] + x = np.fromregex(c, r"([0-9.]+)\s+(...)", dt) + a = np.array([(1.312, 'foo'), (1.534, 'bar'), (4.444, 'qux')], + dtype=dt) + assert_array_equal(x, a) + + def test_record_2(self): + c = TextIO() + c.write('1312 foo\n1534 bar\n4444 qux') + c.seek(0) + + dt = [('num', np.int32), ('val', 'S3')] + x = np.fromregex(c, r"(\d+)\s+(...)", dt) + a = np.array([(1312, 'foo'), (1534, 'bar'), (4444, 'qux')], + dtype=dt) + assert_array_equal(x, a) + + def test_record_3(self): + c = TextIO() + c.write('1312 foo\n1534 bar\n4444 qux') + c.seek(0) + + dt = [('num', np.float64)] + x = np.fromregex(c, r"(\d+)\s+...", dt) + a = np.array([(1312,), (1534,), (4444,)], dtype=dt) + assert_array_equal(x, a) + + @pytest.mark.parametrize("path_type", [str, Path]) + def test_record_unicode(self, path_type): + utf8 = b'\xcf\x96' + with temppath() as str_path: + path = path_type(str_path) + with open(path, 'wb') as f: + f.write(b'1.312 foo' + utf8 + b' \n1.534 bar\n4.444 qux') + + dt = [('num', np.float64), ('val', 'U4')] + x = np.fromregex(path, r"(?u)([0-9.]+)\s+(\w+)", dt, encoding='UTF-8') + a = np.array([(1.312, 'foo' + utf8.decode('UTF-8')), (1.534, 'bar'), + (4.444, 'qux')], dtype=dt) + assert_array_equal(x, a) + + regexp = re.compile(r"([0-9.]+)\s+(\w+)", re.UNICODE) + x = np.fromregex(path, regexp, dt, encoding='UTF-8') + assert_array_equal(x, a) + + def test_compiled_bytes(self): + regexp = re.compile(b'(\\d)') + c = BytesIO(b'123') + dt = [('num', np.float64)] + a = np.array([1, 2, 3], dtype=dt) + x = np.fromregex(c, regexp, dt) + assert_array_equal(x, a) + + def test_bad_dtype_not_structured(self): + regexp = re.compile(b'(\\d)') + c = BytesIO(b'123') + with pytest.raises(TypeError, match='structured datatype'): + np.fromregex(c, regexp, dtype=np.float64) + + +#####-------------------------------------------------------------------------- + + +class TestFromTxt(LoadTxtBase): + loadfunc = staticmethod(np.genfromtxt) + + def test_record(self): + # Test w/ explicit dtype + data = TextIO('1 2\n3 4') + test = np.genfromtxt(data, dtype=[('x', np.int32), ('y', np.int32)]) + control = np.array([(1, 2), (3, 4)], dtype=[('x', 'i4'), ('y', 'i4')]) + assert_equal(test, control) + # + data = TextIO('M 64.0 75.0\nF 25.0 60.0') + descriptor = {'names': ('gender', 'age', 'weight'), + 'formats': ('S1', 'i4', 'f4')} + control = np.array([('M', 64.0, 75.0), ('F', 25.0, 60.0)], + dtype=descriptor) + test = np.genfromtxt(data, dtype=descriptor) + assert_equal(test, control) + + def test_array(self): + # Test outputting a standard ndarray + data = TextIO('1 2\n3 4') + control = np.array([[1, 2], [3, 4]], dtype=int) + test = np.genfromtxt(data, dtype=int) + assert_array_equal(test, control) + # + data.seek(0) + control = np.array([[1, 2], [3, 4]], dtype=float) + test = np.loadtxt(data, dtype=float) + assert_array_equal(test, control) + + def test_1D(self): + # Test squeezing to 1D + control = np.array([1, 2, 3, 4], int) + # + data = TextIO('1\n2\n3\n4\n') + test = np.genfromtxt(data, dtype=int) + assert_array_equal(test, control) + # + data = TextIO('1,2,3,4\n') + test = np.genfromtxt(data, dtype=int, delimiter=',') + assert_array_equal(test, control) + + def test_comments(self): + # Test the stripping of comments + control = np.array([1, 2, 3, 5], int) + # Comment on its own line + data = TextIO('# comment\n1,2,3,5\n') + test = np.genfromtxt(data, dtype=int, delimiter=',', comments='#') + assert_equal(test, control) + # Comment at the end of a line + data = TextIO('1,2,3,5# comment\n') + test = np.genfromtxt(data, dtype=int, delimiter=',', comments='#') + assert_equal(test, control) + + def test_skiprows(self): + # Test row skipping + control = np.array([1, 2, 3, 5], int) + kwargs = dict(dtype=int, delimiter=',') + # + data = TextIO('comment\n1,2,3,5\n') + test = np.genfromtxt(data, skip_header=1, **kwargs) + assert_equal(test, control) + # + data = TextIO('# comment\n1,2,3,5\n') + test = np.loadtxt(data, skiprows=1, **kwargs) + assert_equal(test, control) + + def test_skip_footer(self): + data = ["# %i" % i for i in range(1, 6)] + data.append("A, B, C") + data.extend(["%i,%3.1f,%03s" % (i, i, i) for i in range(51)]) + data[-1] = "99,99" + kwargs = dict(delimiter=",", names=True, skip_header=5, skip_footer=10) + test = np.genfromtxt(TextIO("\n".join(data)), **kwargs) + ctrl = np.array([("%f" % i, "%f" % i, "%f" % i) for i in range(41)], + dtype=[(_, float) for _ in "ABC"]) + assert_equal(test, ctrl) + + def test_skip_footer_with_invalid(self): + with suppress_warnings() as sup: + sup.filter(ConversionWarning) + basestr = '1 1\n2 2\n3 3\n4 4\n5 \n6 \n7 \n' + # Footer too small to get rid of all invalid values + assert_raises(ValueError, np.genfromtxt, + TextIO(basestr), skip_footer=1) + # except ValueError: + # pass + a = np.genfromtxt( + TextIO(basestr), skip_footer=1, invalid_raise=False) + assert_equal(a, np.array([[1., 1.], [2., 2.], [3., 3.], [4., 4.]])) + # + a = np.genfromtxt(TextIO(basestr), skip_footer=3) + assert_equal(a, np.array([[1., 1.], [2., 2.], [3., 3.], [4., 4.]])) + # + basestr = '1 1\n2 \n3 3\n4 4\n5 \n6 6\n7 7\n' + a = np.genfromtxt( + TextIO(basestr), skip_footer=1, invalid_raise=False) + assert_equal(a, np.array([[1., 1.], [3., 3.], [4., 4.], [6., 6.]])) + a = np.genfromtxt( + TextIO(basestr), skip_footer=3, invalid_raise=False) + assert_equal(a, np.array([[1., 1.], [3., 3.], [4., 4.]])) + + def test_header(self): + # Test retrieving a header + data = TextIO('gender age weight\nM 64.0 75.0\nF 25.0 60.0') + with warnings.catch_warnings(record=True) as w: + warnings.filterwarnings('always', '', np.VisibleDeprecationWarning) + test = np.genfromtxt(data, dtype=None, names=True) + assert_(w[0].category is np.VisibleDeprecationWarning) + control = {'gender': np.array([b'M', b'F']), + 'age': np.array([64.0, 25.0]), + 'weight': np.array([75.0, 60.0])} + assert_equal(test['gender'], control['gender']) + assert_equal(test['age'], control['age']) + assert_equal(test['weight'], control['weight']) + + def test_auto_dtype(self): + # Test the automatic definition of the output dtype + data = TextIO('A 64 75.0 3+4j True\nBCD 25 60.0 5+6j False') + with warnings.catch_warnings(record=True) as w: + warnings.filterwarnings('always', '', np.VisibleDeprecationWarning) + test = np.genfromtxt(data, dtype=None) + assert_(w[0].category is np.VisibleDeprecationWarning) + control = [np.array([b'A', b'BCD']), + np.array([64, 25]), + np.array([75.0, 60.0]), + np.array([3 + 4j, 5 + 6j]), + np.array([True, False]), ] + assert_equal(test.dtype.names, ['f0', 'f1', 'f2', 'f3', 'f4']) + for (i, ctrl) in enumerate(control): + assert_equal(test['f%i' % i], ctrl) + + def test_auto_dtype_uniform(self): + # Tests whether the output dtype can be uniformized + data = TextIO('1 2 3 4\n5 6 7 8\n') + test = np.genfromtxt(data, dtype=None) + control = np.array([[1, 2, 3, 4], [5, 6, 7, 8]]) + assert_equal(test, control) + + def test_fancy_dtype(self): + # Check that a nested dtype isn't MIA + data = TextIO('1,2,3.0\n4,5,6.0\n') + fancydtype = np.dtype([('x', int), ('y', [('t', int), ('s', float)])]) + test = np.genfromtxt(data, dtype=fancydtype, delimiter=',') + control = np.array([(1, (2, 3.0)), (4, (5, 6.0))], dtype=fancydtype) + assert_equal(test, control) + + def test_names_overwrite(self): + # Test overwriting the names of the dtype + descriptor = {'names': ('g', 'a', 'w'), + 'formats': ('S1', 'i4', 'f4')} + data = TextIO(b'M 64.0 75.0\nF 25.0 60.0') + names = ('gender', 'age', 'weight') + test = np.genfromtxt(data, dtype=descriptor, names=names) + descriptor['names'] = names + control = np.array([('M', 64.0, 75.0), + ('F', 25.0, 60.0)], dtype=descriptor) + assert_equal(test, control) + + def test_bad_fname(self): + with pytest.raises(TypeError, match='fname must be a string,'): + np.genfromtxt(123) + + def test_commented_header(self): + # Check that names can be retrieved even if the line is commented out. + data = TextIO(""" +#gender age weight +M 21 72.100000 +F 35 58.330000 +M 33 21.99 + """) + # The # is part of the first name and should be deleted automatically. + with warnings.catch_warnings(record=True) as w: + warnings.filterwarnings('always', '', np.VisibleDeprecationWarning) + test = np.genfromtxt(data, names=True, dtype=None) + assert_(w[0].category is np.VisibleDeprecationWarning) + ctrl = np.array([('M', 21, 72.1), ('F', 35, 58.33), ('M', 33, 21.99)], + dtype=[('gender', '|S1'), ('age', int), ('weight', float)]) + assert_equal(test, ctrl) + # Ditto, but we should get rid of the first element + data = TextIO(b""" +# gender age weight +M 21 72.100000 +F 35 58.330000 +M 33 21.99 + """) + with warnings.catch_warnings(record=True) as w: + warnings.filterwarnings('always', '', np.VisibleDeprecationWarning) + test = np.genfromtxt(data, names=True, dtype=None) + assert_(w[0].category is np.VisibleDeprecationWarning) + assert_equal(test, ctrl) + + def test_names_and_comments_none(self): + # Tests case when names is true but comments is None (gh-10780) + data = TextIO('col1 col2\n 1 2\n 3 4') + test = np.genfromtxt(data, dtype=(int, int), comments=None, names=True) + control = np.array([(1, 2), (3, 4)], dtype=[('col1', int), ('col2', int)]) + assert_equal(test, control) + + def test_file_is_closed_on_error(self): + # gh-13200 + with tempdir() as tmpdir: + fpath = os.path.join(tmpdir, "test.csv") + with open(fpath, "wb") as f: + f.write('\N{GREEK PI SYMBOL}'.encode()) + + # ResourceWarnings are emitted from a destructor, so won't be + # detected by regular propagation to errors. + with assert_no_warnings(): + with pytest.raises(UnicodeDecodeError): + np.genfromtxt(fpath, encoding="ascii") + + def test_autonames_and_usecols(self): + # Tests names and usecols + data = TextIO('A B C D\n aaaa 121 45 9.1') + with warnings.catch_warnings(record=True) as w: + warnings.filterwarnings('always', '', np.VisibleDeprecationWarning) + test = np.genfromtxt(data, usecols=('A', 'C', 'D'), + names=True, dtype=None) + assert_(w[0].category is np.VisibleDeprecationWarning) + control = np.array(('aaaa', 45, 9.1), + dtype=[('A', '|S4'), ('C', int), ('D', float)]) + assert_equal(test, control) + + def test_converters_with_usecols(self): + # Test the combination user-defined converters and usecol + data = TextIO('1,2,3,,5\n6,7,8,9,10\n') + test = np.genfromtxt(data, dtype=int, delimiter=',', + converters={3: lambda s: int(s or - 999)}, + usecols=(1, 3,)) + control = np.array([[2, -999], [7, 9]], int) + assert_equal(test, control) + + def test_converters_with_usecols_and_names(self): + # Tests names and usecols + data = TextIO('A B C D\n aaaa 121 45 9.1') + with warnings.catch_warnings(record=True) as w: + warnings.filterwarnings('always', '', np.VisibleDeprecationWarning) + test = np.genfromtxt(data, usecols=('A', 'C', 'D'), names=True, + dtype=None, + converters={'C': lambda s: 2 * int(s)}) + assert_(w[0].category is np.VisibleDeprecationWarning) + control = np.array(('aaaa', 90, 9.1), + dtype=[('A', '|S4'), ('C', int), ('D', float)]) + assert_equal(test, control) + + def test_converters_cornercases(self): + # Test the conversion to datetime. + converter = { + 'date': lambda s: strptime(s, '%Y-%m-%d %H:%M:%SZ')} + data = TextIO('2009-02-03 12:00:00Z, 72214.0') + test = np.genfromtxt(data, delimiter=',', dtype=None, + names=['date', 'stid'], converters=converter) + control = np.array((datetime(2009, 2, 3), 72214.), + dtype=[('date', np.object_), ('stid', float)]) + assert_equal(test, control) + + def test_converters_cornercases2(self): + # Test the conversion to datetime64. + converter = { + 'date': lambda s: np.datetime64(strptime(s, '%Y-%m-%d %H:%M:%SZ'))} + data = TextIO('2009-02-03 12:00:00Z, 72214.0') + test = np.genfromtxt(data, delimiter=',', dtype=None, + names=['date', 'stid'], converters=converter) + control = np.array((datetime(2009, 2, 3), 72214.), + dtype=[('date', 'datetime64[us]'), ('stid', float)]) + assert_equal(test, control) + + def test_unused_converter(self): + # Test whether unused converters are forgotten + data = TextIO("1 21\n 3 42\n") + test = np.genfromtxt(data, usecols=(1,), + converters={0: lambda s: int(s, 16)}) + assert_equal(test, [21, 42]) + # + data.seek(0) + test = np.genfromtxt(data, usecols=(1,), + converters={1: lambda s: int(s, 16)}) + assert_equal(test, [33, 66]) + + def test_invalid_converter(self): + strip_rand = lambda x: float((b'r' in x.lower() and x.split()[-1]) or + (b'r' not in x.lower() and x.strip() or 0.0)) + strip_per = lambda x: float((b'%' in x.lower() and x.split()[0]) or + (b'%' not in x.lower() and x.strip() or 0.0)) + s = TextIO("D01N01,10/1/2003 ,1 %,R 75,400,600\r\n" + "L24U05,12/5/2003, 2 %,1,300, 150.5\r\n" + "D02N03,10/10/2004,R 1,,7,145.55") + kwargs = dict( + converters={2: strip_per, 3: strip_rand}, delimiter=",", + dtype=None) + assert_raises(ConverterError, np.genfromtxt, s, **kwargs) + + def test_tricky_converter_bug1666(self): + # Test some corner cases + s = TextIO('q1,2\nq3,4') + cnv = lambda s: float(s[1:]) + test = np.genfromtxt(s, delimiter=',', converters={0: cnv}) + control = np.array([[1., 2.], [3., 4.]]) + assert_equal(test, control) + + def test_dtype_with_converters(self): + dstr = "2009; 23; 46" + test = np.genfromtxt(TextIO(dstr,), + delimiter=";", dtype=float, converters={0: bytes}) + control = np.array([('2009', 23., 46)], + dtype=[('f0', '|S4'), ('f1', float), ('f2', float)]) + assert_equal(test, control) + test = np.genfromtxt(TextIO(dstr,), + delimiter=";", dtype=float, converters={0: float}) + control = np.array([2009., 23., 46],) + assert_equal(test, control) + + def test_dtype_with_converters_and_usecols(self): + dstr = "1,5,-1,1:1\n2,8,-1,1:n\n3,3,-2,m:n\n" + dmap = {'1:1':0, '1:n':1, 'm:1':2, 'm:n':3} + dtyp = [('e1','i4'),('e2','i4'),('e3','i2'),('n', 'i1')] + conv = {0: int, 1: int, 2: int, 3: lambda r: dmap[r.decode()]} + test = np.recfromcsv(TextIO(dstr,), dtype=dtyp, delimiter=',', + names=None, converters=conv) + control = np.rec.array([(1,5,-1,0), (2,8,-1,1), (3,3,-2,3)], dtype=dtyp) + assert_equal(test, control) + dtyp = [('e1','i4'),('e2','i4'),('n', 'i1')] + test = np.recfromcsv(TextIO(dstr,), dtype=dtyp, delimiter=',', + usecols=(0,1,3), names=None, converters=conv) + control = np.rec.array([(1,5,0), (2,8,1), (3,3,3)], dtype=dtyp) + assert_equal(test, control) + + def test_dtype_with_object(self): + # Test using an explicit dtype with an object + data = """ 1; 2001-01-01 + 2; 2002-01-31 """ + ndtype = [('idx', int), ('code', object)] + func = lambda s: strptime(s.strip(), "%Y-%m-%d") + converters = {1: func} + test = np.genfromtxt(TextIO(data), delimiter=";", dtype=ndtype, + converters=converters) + control = np.array( + [(1, datetime(2001, 1, 1)), (2, datetime(2002, 1, 31))], + dtype=ndtype) + assert_equal(test, control) + + ndtype = [('nest', [('idx', int), ('code', object)])] + with assert_raises_regex(NotImplementedError, + 'Nested fields.* not supported.*'): + test = np.genfromtxt(TextIO(data), delimiter=";", + dtype=ndtype, converters=converters) + + # nested but empty fields also aren't supported + ndtype = [('idx', int), ('code', object), ('nest', [])] + with assert_raises_regex(NotImplementedError, + 'Nested fields.* not supported.*'): + test = np.genfromtxt(TextIO(data), delimiter=";", + dtype=ndtype, converters=converters) + + def test_dtype_with_object_no_converter(self): + # Object without a converter uses bytes: + parsed = np.genfromtxt(TextIO("1"), dtype=object) + assert parsed[()] == b"1" + parsed = np.genfromtxt(TextIO("string"), dtype=object) + assert parsed[()] == b"string" + + def test_userconverters_with_explicit_dtype(self): + # Test user_converters w/ explicit (standard) dtype + data = TextIO('skip,skip,2001-01-01,1.0,skip') + test = np.genfromtxt(data, delimiter=",", names=None, dtype=float, + usecols=(2, 3), converters={2: bytes}) + control = np.array([('2001-01-01', 1.)], + dtype=[('', '|S10'), ('', float)]) + assert_equal(test, control) + + def test_utf8_userconverters_with_explicit_dtype(self): + utf8 = b'\xcf\x96' + with temppath() as path: + with open(path, 'wb') as f: + f.write(b'skip,skip,2001-01-01' + utf8 + b',1.0,skip') + test = np.genfromtxt(path, delimiter=",", names=None, dtype=float, + usecols=(2, 3), converters={2: np.compat.unicode}, + encoding='UTF-8') + control = np.array([('2001-01-01' + utf8.decode('UTF-8'), 1.)], + dtype=[('', '|U11'), ('', float)]) + assert_equal(test, control) + + def test_spacedelimiter(self): + # Test space delimiter + data = TextIO("1 2 3 4 5\n6 7 8 9 10") + test = np.genfromtxt(data) + control = np.array([[1., 2., 3., 4., 5.], + [6., 7., 8., 9., 10.]]) + assert_equal(test, control) + + def test_integer_delimiter(self): + # Test using an integer for delimiter + data = " 1 2 3\n 4 5 67\n890123 4" + test = np.genfromtxt(TextIO(data), delimiter=3) + control = np.array([[1, 2, 3], [4, 5, 67], [890, 123, 4]]) + assert_equal(test, control) + + def test_missing(self): + data = TextIO('1,2,3,,5\n') + test = np.genfromtxt(data, dtype=int, delimiter=',', + converters={3: lambda s: int(s or - 999)}) + control = np.array([1, 2, 3, -999, 5], int) + assert_equal(test, control) + + def test_missing_with_tabs(self): + # Test w/ a delimiter tab + txt = "1\t2\t3\n\t2\t\n1\t\t3" + test = np.genfromtxt(TextIO(txt), delimiter="\t", + usemask=True,) + ctrl_d = np.array([(1, 2, 3), (np.nan, 2, np.nan), (1, np.nan, 3)],) + ctrl_m = np.array([(0, 0, 0), (1, 0, 1), (0, 1, 0)], dtype=bool) + assert_equal(test.data, ctrl_d) + assert_equal(test.mask, ctrl_m) + + def test_usecols(self): + # Test the selection of columns + # Select 1 column + control = np.array([[1, 2], [3, 4]], float) + data = TextIO() + np.savetxt(data, control) + data.seek(0) + test = np.genfromtxt(data, dtype=float, usecols=(1,)) + assert_equal(test, control[:, 1]) + # + control = np.array([[1, 2, 3], [3, 4, 5]], float) + data = TextIO() + np.savetxt(data, control) + data.seek(0) + test = np.genfromtxt(data, dtype=float, usecols=(1, 2)) + assert_equal(test, control[:, 1:]) + # Testing with arrays instead of tuples. + data.seek(0) + test = np.genfromtxt(data, dtype=float, usecols=np.array([1, 2])) + assert_equal(test, control[:, 1:]) + + def test_usecols_as_css(self): + # Test giving usecols with a comma-separated string + data = "1 2 3\n4 5 6" + test = np.genfromtxt(TextIO(data), + names="a, b, c", usecols="a, c") + ctrl = np.array([(1, 3), (4, 6)], dtype=[(_, float) for _ in "ac"]) + assert_equal(test, ctrl) + + def test_usecols_with_structured_dtype(self): + # Test usecols with an explicit structured dtype + data = TextIO("JOE 70.1 25.3\nBOB 60.5 27.9") + names = ['stid', 'temp'] + dtypes = ['S4', 'f8'] + test = np.genfromtxt( + data, usecols=(0, 2), dtype=list(zip(names, dtypes))) + assert_equal(test['stid'], [b"JOE", b"BOB"]) + assert_equal(test['temp'], [25.3, 27.9]) + + def test_usecols_with_integer(self): + # Test usecols with an integer + test = np.genfromtxt(TextIO(b"1 2 3\n4 5 6"), usecols=0) + assert_equal(test, np.array([1., 4.])) + + def test_usecols_with_named_columns(self): + # Test usecols with named columns + ctrl = np.array([(1, 3), (4, 6)], dtype=[('a', float), ('c', float)]) + data = "1 2 3\n4 5 6" + kwargs = dict(names="a, b, c") + test = np.genfromtxt(TextIO(data), usecols=(0, -1), **kwargs) + assert_equal(test, ctrl) + test = np.genfromtxt(TextIO(data), + usecols=('a', 'c'), **kwargs) + assert_equal(test, ctrl) + + def test_empty_file(self): + # Test that an empty file raises the proper warning. + with suppress_warnings() as sup: + sup.filter(message="genfromtxt: Empty input file:") + data = TextIO() + test = np.genfromtxt(data) + assert_equal(test, np.array([])) + + # when skip_header > 0 + test = np.genfromtxt(data, skip_header=1) + assert_equal(test, np.array([])) + + def test_fancy_dtype_alt(self): + # Check that a nested dtype isn't MIA + data = TextIO('1,2,3.0\n4,5,6.0\n') + fancydtype = np.dtype([('x', int), ('y', [('t', int), ('s', float)])]) + test = np.genfromtxt(data, dtype=fancydtype, delimiter=',', usemask=True) + control = ma.array([(1, (2, 3.0)), (4, (5, 6.0))], dtype=fancydtype) + assert_equal(test, control) + + def test_shaped_dtype(self): + c = TextIO("aaaa 1.0 8.0 1 2 3 4 5 6") + dt = np.dtype([('name', 'S4'), ('x', float), ('y', float), + ('block', int, (2, 3))]) + x = np.genfromtxt(c, dtype=dt) + a = np.array([('aaaa', 1.0, 8.0, [[1, 2, 3], [4, 5, 6]])], + dtype=dt) + assert_array_equal(x, a) + + def test_withmissing(self): + data = TextIO('A,B\n0,1\n2,N/A') + kwargs = dict(delimiter=",", missing_values="N/A", names=True) + test = np.genfromtxt(data, dtype=None, usemask=True, **kwargs) + control = ma.array([(0, 1), (2, -1)], + mask=[(False, False), (False, True)], + dtype=[('A', int), ('B', int)]) + assert_equal(test, control) + assert_equal(test.mask, control.mask) + # + data.seek(0) + test = np.genfromtxt(data, usemask=True, **kwargs) + control = ma.array([(0, 1), (2, -1)], + mask=[(False, False), (False, True)], + dtype=[('A', float), ('B', float)]) + assert_equal(test, control) + assert_equal(test.mask, control.mask) + + def test_user_missing_values(self): + data = "A, B, C\n0, 0., 0j\n1, N/A, 1j\n-9, 2.2, N/A\n3, -99, 3j" + basekwargs = dict(dtype=None, delimiter=",", names=True,) + mdtype = [('A', int), ('B', float), ('C', complex)] + # + test = np.genfromtxt(TextIO(data), missing_values="N/A", + **basekwargs) + control = ma.array([(0, 0.0, 0j), (1, -999, 1j), + (-9, 2.2, -999j), (3, -99, 3j)], + mask=[(0, 0, 0), (0, 1, 0), (0, 0, 1), (0, 0, 0)], + dtype=mdtype) + assert_equal(test, control) + # + basekwargs['dtype'] = mdtype + test = np.genfromtxt(TextIO(data), + missing_values={0: -9, 1: -99, 2: -999j}, usemask=True, **basekwargs) + control = ma.array([(0, 0.0, 0j), (1, -999, 1j), + (-9, 2.2, -999j), (3, -99, 3j)], + mask=[(0, 0, 0), (0, 1, 0), (1, 0, 1), (0, 1, 0)], + dtype=mdtype) + assert_equal(test, control) + # + test = np.genfromtxt(TextIO(data), + missing_values={0: -9, 'B': -99, 'C': -999j}, + usemask=True, + **basekwargs) + control = ma.array([(0, 0.0, 0j), (1, -999, 1j), + (-9, 2.2, -999j), (3, -99, 3j)], + mask=[(0, 0, 0), (0, 1, 0), (1, 0, 1), (0, 1, 0)], + dtype=mdtype) + assert_equal(test, control) + + def test_user_filling_values(self): + # Test with missing and filling values + ctrl = np.array([(0, 3), (4, -999)], dtype=[('a', int), ('b', int)]) + data = "N/A, 2, 3\n4, ,???" + kwargs = dict(delimiter=",", + dtype=int, + names="a,b,c", + missing_values={0: "N/A", 'b': " ", 2: "???"}, + filling_values={0: 0, 'b': 0, 2: -999}) + test = np.genfromtxt(TextIO(data), **kwargs) + ctrl = np.array([(0, 2, 3), (4, 0, -999)], + dtype=[(_, int) for _ in "abc"]) + assert_equal(test, ctrl) + # + test = np.genfromtxt(TextIO(data), usecols=(0, -1), **kwargs) + ctrl = np.array([(0, 3), (4, -999)], dtype=[(_, int) for _ in "ac"]) + assert_equal(test, ctrl) + + data2 = "1,2,*,4\n5,*,7,8\n" + test = np.genfromtxt(TextIO(data2), delimiter=',', dtype=int, + missing_values="*", filling_values=0) + ctrl = np.array([[1, 2, 0, 4], [5, 0, 7, 8]]) + assert_equal(test, ctrl) + test = np.genfromtxt(TextIO(data2), delimiter=',', dtype=int, + missing_values="*", filling_values=-1) + ctrl = np.array([[1, 2, -1, 4], [5, -1, 7, 8]]) + assert_equal(test, ctrl) + + def test_withmissing_float(self): + data = TextIO('A,B\n0,1.5\n2,-999.00') + test = np.genfromtxt(data, dtype=None, delimiter=',', + missing_values='-999.0', names=True, usemask=True) + control = ma.array([(0, 1.5), (2, -1.)], + mask=[(False, False), (False, True)], + dtype=[('A', int), ('B', float)]) + assert_equal(test, control) + assert_equal(test.mask, control.mask) + + def test_with_masked_column_uniform(self): + # Test masked column + data = TextIO('1 2 3\n4 5 6\n') + test = np.genfromtxt(data, dtype=None, + missing_values='2,5', usemask=True) + control = ma.array([[1, 2, 3], [4, 5, 6]], mask=[[0, 1, 0], [0, 1, 0]]) + assert_equal(test, control) + + def test_with_masked_column_various(self): + # Test masked column + data = TextIO('True 2 3\nFalse 5 6\n') + test = np.genfromtxt(data, dtype=None, + missing_values='2,5', usemask=True) + control = ma.array([(1, 2, 3), (0, 5, 6)], + mask=[(0, 1, 0), (0, 1, 0)], + dtype=[('f0', bool), ('f1', bool), ('f2', int)]) + assert_equal(test, control) + + def test_invalid_raise(self): + # Test invalid raise + data = ["1, 1, 1, 1, 1"] * 50 + for i in range(5): + data[10 * i] = "2, 2, 2, 2 2" + data.insert(0, "a, b, c, d, e") + mdata = TextIO("\n".join(data)) + + kwargs = dict(delimiter=",", dtype=None, names=True) + def f(): + return np.genfromtxt(mdata, invalid_raise=False, **kwargs) + mtest = assert_warns(ConversionWarning, f) + assert_equal(len(mtest), 45) + assert_equal(mtest, np.ones(45, dtype=[(_, int) for _ in 'abcde'])) + # + mdata.seek(0) + assert_raises(ValueError, np.genfromtxt, mdata, + delimiter=",", names=True) + + def test_invalid_raise_with_usecols(self): + # Test invalid_raise with usecols + data = ["1, 1, 1, 1, 1"] * 50 + for i in range(5): + data[10 * i] = "2, 2, 2, 2 2" + data.insert(0, "a, b, c, d, e") + mdata = TextIO("\n".join(data)) + + kwargs = dict(delimiter=",", dtype=None, names=True, + invalid_raise=False) + def f(): + return np.genfromtxt(mdata, usecols=(0, 4), **kwargs) + mtest = assert_warns(ConversionWarning, f) + assert_equal(len(mtest), 45) + assert_equal(mtest, np.ones(45, dtype=[(_, int) for _ in 'ae'])) + # + mdata.seek(0) + mtest = np.genfromtxt(mdata, usecols=(0, 1), **kwargs) + assert_equal(len(mtest), 50) + control = np.ones(50, dtype=[(_, int) for _ in 'ab']) + control[[10 * _ for _ in range(5)]] = (2, 2) + assert_equal(mtest, control) + + def test_inconsistent_dtype(self): + # Test inconsistent dtype + data = ["1, 1, 1, 1, -1.1"] * 50 + mdata = TextIO("\n".join(data)) + + converters = {4: lambda x: "(%s)" % x.decode()} + kwargs = dict(delimiter=",", converters=converters, + dtype=[(_, int) for _ in 'abcde'],) + assert_raises(ValueError, np.genfromtxt, mdata, **kwargs) + + def test_default_field_format(self): + # Test default format + data = "0, 1, 2.3\n4, 5, 6.7" + mtest = np.genfromtxt(TextIO(data), + delimiter=",", dtype=None, defaultfmt="f%02i") + ctrl = np.array([(0, 1, 2.3), (4, 5, 6.7)], + dtype=[("f00", int), ("f01", int), ("f02", float)]) + assert_equal(mtest, ctrl) + + def test_single_dtype_wo_names(self): + # Test single dtype w/o names + data = "0, 1, 2.3\n4, 5, 6.7" + mtest = np.genfromtxt(TextIO(data), + delimiter=",", dtype=float, defaultfmt="f%02i") + ctrl = np.array([[0., 1., 2.3], [4., 5., 6.7]], dtype=float) + assert_equal(mtest, ctrl) + + def test_single_dtype_w_explicit_names(self): + # Test single dtype w explicit names + data = "0, 1, 2.3\n4, 5, 6.7" + mtest = np.genfromtxt(TextIO(data), + delimiter=",", dtype=float, names="a, b, c") + ctrl = np.array([(0., 1., 2.3), (4., 5., 6.7)], + dtype=[(_, float) for _ in "abc"]) + assert_equal(mtest, ctrl) + + def test_single_dtype_w_implicit_names(self): + # Test single dtype w implicit names + data = "a, b, c\n0, 1, 2.3\n4, 5, 6.7" + mtest = np.genfromtxt(TextIO(data), + delimiter=",", dtype=float, names=True) + ctrl = np.array([(0., 1., 2.3), (4., 5., 6.7)], + dtype=[(_, float) for _ in "abc"]) + assert_equal(mtest, ctrl) + + def test_easy_structured_dtype(self): + # Test easy structured dtype + data = "0, 1, 2.3\n4, 5, 6.7" + mtest = np.genfromtxt(TextIO(data), delimiter=",", + dtype=(int, float, float), defaultfmt="f_%02i") + ctrl = np.array([(0, 1., 2.3), (4, 5., 6.7)], + dtype=[("f_00", int), ("f_01", float), ("f_02", float)]) + assert_equal(mtest, ctrl) + + def test_autostrip(self): + # Test autostrip + data = "01/01/2003 , 1.3, abcde" + kwargs = dict(delimiter=",", dtype=None) + with warnings.catch_warnings(record=True) as w: + warnings.filterwarnings('always', '', np.VisibleDeprecationWarning) + mtest = np.genfromtxt(TextIO(data), **kwargs) + assert_(w[0].category is np.VisibleDeprecationWarning) + ctrl = np.array([('01/01/2003 ', 1.3, ' abcde')], + dtype=[('f0', '|S12'), ('f1', float), ('f2', '|S8')]) + assert_equal(mtest, ctrl) + with warnings.catch_warnings(record=True) as w: + warnings.filterwarnings('always', '', np.VisibleDeprecationWarning) + mtest = np.genfromtxt(TextIO(data), autostrip=True, **kwargs) + assert_(w[0].category is np.VisibleDeprecationWarning) + ctrl = np.array([('01/01/2003', 1.3, 'abcde')], + dtype=[('f0', '|S10'), ('f1', float), ('f2', '|S5')]) + assert_equal(mtest, ctrl) + + def test_replace_space(self): + # Test the 'replace_space' option + txt = "A.A, B (B), C:C\n1, 2, 3.14" + # Test default: replace ' ' by '_' and delete non-alphanum chars + test = np.genfromtxt(TextIO(txt), + delimiter=",", names=True, dtype=None) + ctrl_dtype = [("AA", int), ("B_B", int), ("CC", float)] + ctrl = np.array((1, 2, 3.14), dtype=ctrl_dtype) + assert_equal(test, ctrl) + # Test: no replace, no delete + test = np.genfromtxt(TextIO(txt), + delimiter=",", names=True, dtype=None, + replace_space='', deletechars='') + ctrl_dtype = [("A.A", int), ("B (B)", int), ("C:C", float)] + ctrl = np.array((1, 2, 3.14), dtype=ctrl_dtype) + assert_equal(test, ctrl) + # Test: no delete (spaces are replaced by _) + test = np.genfromtxt(TextIO(txt), + delimiter=",", names=True, dtype=None, + deletechars='') + ctrl_dtype = [("A.A", int), ("B_(B)", int), ("C:C", float)] + ctrl = np.array((1, 2, 3.14), dtype=ctrl_dtype) + assert_equal(test, ctrl) + + def test_replace_space_known_dtype(self): + # Test the 'replace_space' (and related) options when dtype != None + txt = "A.A, B (B), C:C\n1, 2, 3" + # Test default: replace ' ' by '_' and delete non-alphanum chars + test = np.genfromtxt(TextIO(txt), + delimiter=",", names=True, dtype=int) + ctrl_dtype = [("AA", int), ("B_B", int), ("CC", int)] + ctrl = np.array((1, 2, 3), dtype=ctrl_dtype) + assert_equal(test, ctrl) + # Test: no replace, no delete + test = np.genfromtxt(TextIO(txt), + delimiter=",", names=True, dtype=int, + replace_space='', deletechars='') + ctrl_dtype = [("A.A", int), ("B (B)", int), ("C:C", int)] + ctrl = np.array((1, 2, 3), dtype=ctrl_dtype) + assert_equal(test, ctrl) + # Test: no delete (spaces are replaced by _) + test = np.genfromtxt(TextIO(txt), + delimiter=",", names=True, dtype=int, + deletechars='') + ctrl_dtype = [("A.A", int), ("B_(B)", int), ("C:C", int)] + ctrl = np.array((1, 2, 3), dtype=ctrl_dtype) + assert_equal(test, ctrl) + + def test_incomplete_names(self): + # Test w/ incomplete names + data = "A,,C\n0,1,2\n3,4,5" + kwargs = dict(delimiter=",", names=True) + # w/ dtype=None + ctrl = np.array([(0, 1, 2), (3, 4, 5)], + dtype=[(_, int) for _ in ('A', 'f0', 'C')]) + test = np.genfromtxt(TextIO(data), dtype=None, **kwargs) + assert_equal(test, ctrl) + # w/ default dtype + ctrl = np.array([(0, 1, 2), (3, 4, 5)], + dtype=[(_, float) for _ in ('A', 'f0', 'C')]) + test = np.genfromtxt(TextIO(data), **kwargs) + + def test_names_auto_completion(self): + # Make sure that names are properly completed + data = "1 2 3\n 4 5 6" + test = np.genfromtxt(TextIO(data), + dtype=(int, float, int), names="a") + ctrl = np.array([(1, 2, 3), (4, 5, 6)], + dtype=[('a', int), ('f0', float), ('f1', int)]) + assert_equal(test, ctrl) + + def test_names_with_usecols_bug1636(self): + # Make sure we pick up the right names w/ usecols + data = "A,B,C,D,E\n0,1,2,3,4\n0,1,2,3,4\n0,1,2,3,4" + ctrl_names = ("A", "C", "E") + test = np.genfromtxt(TextIO(data), + dtype=(int, int, int), delimiter=",", + usecols=(0, 2, 4), names=True) + assert_equal(test.dtype.names, ctrl_names) + # + test = np.genfromtxt(TextIO(data), + dtype=(int, int, int), delimiter=",", + usecols=("A", "C", "E"), names=True) + assert_equal(test.dtype.names, ctrl_names) + # + test = np.genfromtxt(TextIO(data), + dtype=int, delimiter=",", + usecols=("A", "C", "E"), names=True) + assert_equal(test.dtype.names, ctrl_names) + + def test_fixed_width_names(self): + # Test fix-width w/ names + data = " A B C\n 0 1 2.3\n 45 67 9." + kwargs = dict(delimiter=(5, 5, 4), names=True, dtype=None) + ctrl = np.array([(0, 1, 2.3), (45, 67, 9.)], + dtype=[('A', int), ('B', int), ('C', float)]) + test = np.genfromtxt(TextIO(data), **kwargs) + assert_equal(test, ctrl) + # + kwargs = dict(delimiter=5, names=True, dtype=None) + ctrl = np.array([(0, 1, 2.3), (45, 67, 9.)], + dtype=[('A', int), ('B', int), ('C', float)]) + test = np.genfromtxt(TextIO(data), **kwargs) + assert_equal(test, ctrl) + + def test_filling_values(self): + # Test missing values + data = b"1, 2, 3\n1, , 5\n0, 6, \n" + kwargs = dict(delimiter=",", dtype=None, filling_values=-999) + ctrl = np.array([[1, 2, 3], [1, -999, 5], [0, 6, -999]], dtype=int) + test = np.genfromtxt(TextIO(data), **kwargs) + assert_equal(test, ctrl) + + def test_comments_is_none(self): + # Github issue 329 (None was previously being converted to 'None'). + with warnings.catch_warnings(record=True) as w: + warnings.filterwarnings('always', '', np.VisibleDeprecationWarning) + test = np.genfromtxt(TextIO("test1,testNonetherestofthedata"), + dtype=None, comments=None, delimiter=',') + assert_(w[0].category is np.VisibleDeprecationWarning) + assert_equal(test[1], b'testNonetherestofthedata') + with warnings.catch_warnings(record=True) as w: + warnings.filterwarnings('always', '', np.VisibleDeprecationWarning) + test = np.genfromtxt(TextIO("test1, testNonetherestofthedata"), + dtype=None, comments=None, delimiter=',') + assert_(w[0].category is np.VisibleDeprecationWarning) + assert_equal(test[1], b' testNonetherestofthedata') + + def test_latin1(self): + latin1 = b'\xf6\xfc\xf6' + norm = b"norm1,norm2,norm3\n" + enc = b"test1,testNonethe" + latin1 + b",test3\n" + s = norm + enc + norm + with warnings.catch_warnings(record=True) as w: + warnings.filterwarnings('always', '', np.VisibleDeprecationWarning) + test = np.genfromtxt(TextIO(s), + dtype=None, comments=None, delimiter=',') + assert_(w[0].category is np.VisibleDeprecationWarning) + assert_equal(test[1, 0], b"test1") + assert_equal(test[1, 1], b"testNonethe" + latin1) + assert_equal(test[1, 2], b"test3") + test = np.genfromtxt(TextIO(s), + dtype=None, comments=None, delimiter=',', + encoding='latin1') + assert_equal(test[1, 0], "test1") + assert_equal(test[1, 1], "testNonethe" + latin1.decode('latin1')) + assert_equal(test[1, 2], "test3") + + with warnings.catch_warnings(record=True) as w: + warnings.filterwarnings('always', '', np.VisibleDeprecationWarning) + test = np.genfromtxt(TextIO(b"0,testNonethe" + latin1), + dtype=None, comments=None, delimiter=',') + assert_(w[0].category is np.VisibleDeprecationWarning) + assert_equal(test['f0'], 0) + assert_equal(test['f1'], b"testNonethe" + latin1) + + def test_binary_decode_autodtype(self): + utf16 = b'\xff\xfeh\x04 \x00i\x04 \x00j\x04' + v = self.loadfunc(BytesIO(utf16), dtype=None, encoding='UTF-16') + assert_array_equal(v, np.array(utf16.decode('UTF-16').split())) + + def test_utf8_byte_encoding(self): + utf8 = b"\xcf\x96" + norm = b"norm1,norm2,norm3\n" + enc = b"test1,testNonethe" + utf8 + b",test3\n" + s = norm + enc + norm + with warnings.catch_warnings(record=True) as w: + warnings.filterwarnings('always', '', np.VisibleDeprecationWarning) + test = np.genfromtxt(TextIO(s), + dtype=None, comments=None, delimiter=',') + assert_(w[0].category is np.VisibleDeprecationWarning) + ctl = np.array([ + [b'norm1', b'norm2', b'norm3'], + [b'test1', b'testNonethe' + utf8, b'test3'], + [b'norm1', b'norm2', b'norm3']]) + assert_array_equal(test, ctl) + + def test_utf8_file(self): + utf8 = b"\xcf\x96" + with temppath() as path: + with open(path, "wb") as f: + f.write((b"test1,testNonethe" + utf8 + b",test3\n") * 2) + test = np.genfromtxt(path, dtype=None, comments=None, + delimiter=',', encoding="UTF-8") + ctl = np.array([ + ["test1", "testNonethe" + utf8.decode("UTF-8"), "test3"], + ["test1", "testNonethe" + utf8.decode("UTF-8"), "test3"]], + dtype=np.str_) + assert_array_equal(test, ctl) + + # test a mixed dtype + with open(path, "wb") as f: + f.write(b"0,testNonethe" + utf8) + test = np.genfromtxt(path, dtype=None, comments=None, + delimiter=',', encoding="UTF-8") + assert_equal(test['f0'], 0) + assert_equal(test['f1'], "testNonethe" + utf8.decode("UTF-8")) + + def test_utf8_file_nodtype_unicode(self): + # bytes encoding with non-latin1 -> unicode upcast + utf8 = '\u03d6' + latin1 = '\xf6\xfc\xf6' + + # skip test if cannot encode utf8 test string with preferred + # encoding. The preferred encoding is assumed to be the default + # encoding of io.open. Will need to change this for PyTest, maybe + # using pytest.mark.xfail(raises=***). + try: + encoding = locale.getpreferredencoding() + utf8.encode(encoding) + except (UnicodeError, ImportError): + pytest.skip('Skipping test_utf8_file_nodtype_unicode, ' + 'unable to encode utf8 in preferred encoding') + + with temppath() as path: + with io.open(path, "wt") as f: + f.write("norm1,norm2,norm3\n") + f.write("norm1," + latin1 + ",norm3\n") + f.write("test1,testNonethe" + utf8 + ",test3\n") + with warnings.catch_warnings(record=True) as w: + warnings.filterwarnings('always', '', + np.VisibleDeprecationWarning) + test = np.genfromtxt(path, dtype=None, comments=None, + delimiter=',') + # Check for warning when encoding not specified. + assert_(w[0].category is np.VisibleDeprecationWarning) + ctl = np.array([ + ["norm1", "norm2", "norm3"], + ["norm1", latin1, "norm3"], + ["test1", "testNonethe" + utf8, "test3"]], + dtype=np.str_) + assert_array_equal(test, ctl) + + def test_recfromtxt(self): + # + data = TextIO('A,B\n0,1\n2,3') + kwargs = dict(delimiter=",", missing_values="N/A", names=True) + test = np.recfromtxt(data, **kwargs) + control = np.array([(0, 1), (2, 3)], + dtype=[('A', int), ('B', int)]) + assert_(isinstance(test, np.recarray)) + assert_equal(test, control) + # + data = TextIO('A,B\n0,1\n2,N/A') + test = np.recfromtxt(data, dtype=None, usemask=True, **kwargs) + control = ma.array([(0, 1), (2, -1)], + mask=[(False, False), (False, True)], + dtype=[('A', int), ('B', int)]) + assert_equal(test, control) + assert_equal(test.mask, control.mask) + assert_equal(test.A, [0, 2]) + + def test_recfromcsv(self): + # + data = TextIO('A,B\n0,1\n2,3') + kwargs = dict(missing_values="N/A", names=True, case_sensitive=True) + test = np.recfromcsv(data, dtype=None, **kwargs) + control = np.array([(0, 1), (2, 3)], + dtype=[('A', int), ('B', int)]) + assert_(isinstance(test, np.recarray)) + assert_equal(test, control) + # + data = TextIO('A,B\n0,1\n2,N/A') + test = np.recfromcsv(data, dtype=None, usemask=True, **kwargs) + control = ma.array([(0, 1), (2, -1)], + mask=[(False, False), (False, True)], + dtype=[('A', int), ('B', int)]) + assert_equal(test, control) + assert_equal(test.mask, control.mask) + assert_equal(test.A, [0, 2]) + # + data = TextIO('A,B\n0,1\n2,3') + test = np.recfromcsv(data, missing_values='N/A',) + control = np.array([(0, 1), (2, 3)], + dtype=[('a', int), ('b', int)]) + assert_(isinstance(test, np.recarray)) + assert_equal(test, control) + # + data = TextIO('A,B\n0,1\n2,3') + dtype = [('a', int), ('b', float)] + test = np.recfromcsv(data, missing_values='N/A', dtype=dtype) + control = np.array([(0, 1), (2, 3)], + dtype=dtype) + assert_(isinstance(test, np.recarray)) + assert_equal(test, control) + + #gh-10394 + data = TextIO('color\n"red"\n"blue"') + test = np.recfromcsv(data, converters={0: lambda x: x.strip(b'\"')}) + control = np.array([('red',), ('blue',)], dtype=[('color', (bytes, 4))]) + assert_equal(test.dtype, control.dtype) + assert_equal(test, control) + + def test_max_rows(self): + # Test the `max_rows` keyword argument. + data = '1 2\n3 4\n5 6\n7 8\n9 10\n' + txt = TextIO(data) + a1 = np.genfromtxt(txt, max_rows=3) + a2 = np.genfromtxt(txt) + assert_equal(a1, [[1, 2], [3, 4], [5, 6]]) + assert_equal(a2, [[7, 8], [9, 10]]) + + # max_rows must be at least 1. + assert_raises(ValueError, np.genfromtxt, TextIO(data), max_rows=0) + + # An input with several invalid rows. + data = '1 1\n2 2\n0 \n3 3\n4 4\n5 \n6 \n7 \n' + + test = np.genfromtxt(TextIO(data), max_rows=2) + control = np.array([[1., 1.], [2., 2.]]) + assert_equal(test, control) + + # Test keywords conflict + assert_raises(ValueError, np.genfromtxt, TextIO(data), skip_footer=1, + max_rows=4) + + # Test with invalid value + assert_raises(ValueError, np.genfromtxt, TextIO(data), max_rows=4) + + # Test with invalid not raise + with suppress_warnings() as sup: + sup.filter(ConversionWarning) + + test = np.genfromtxt(TextIO(data), max_rows=4, invalid_raise=False) + control = np.array([[1., 1.], [2., 2.], [3., 3.], [4., 4.]]) + assert_equal(test, control) + + test = np.genfromtxt(TextIO(data), max_rows=5, invalid_raise=False) + control = np.array([[1., 1.], [2., 2.], [3., 3.], [4., 4.]]) + assert_equal(test, control) + + # Structured array with field names. + data = 'a b\n#c d\n1 1\n2 2\n#0 \n3 3\n4 4\n5 5\n' + + # Test with header, names and comments + txt = TextIO(data) + test = np.genfromtxt(txt, skip_header=1, max_rows=3, names=True) + control = np.array([(1.0, 1.0), (2.0, 2.0), (3.0, 3.0)], + dtype=[('c', ' should convert to float + # 2**34 = 17179869184 => should convert to int64 + # 2**10 = 1024 => should convert to int (int32 on 32-bit systems, + # int64 on 64-bit systems) + + data = TextIO('73786976294838206464 17179869184 1024') + + test = np.genfromtxt(data, dtype=None) + + assert_equal(test.dtype.names, ['f0', 'f1', 'f2']) + + assert_(test.dtype['f0'] == float) + assert_(test.dtype['f1'] == np.int64) + assert_(test.dtype['f2'] == np.int_) + + assert_allclose(test['f0'], 73786976294838206464.) + assert_equal(test['f1'], 17179869184) + assert_equal(test['f2'], 1024) + + def test_unpack_float_data(self): + txt = TextIO("1,2,3\n4,5,6\n7,8,9\n0.0,1.0,2.0") + a, b, c = np.loadtxt(txt, delimiter=",", unpack=True) + assert_array_equal(a, np.array([1.0, 4.0, 7.0, 0.0])) + assert_array_equal(b, np.array([2.0, 5.0, 8.0, 1.0])) + assert_array_equal(c, np.array([3.0, 6.0, 9.0, 2.0])) + + def test_unpack_structured(self): + # Regression test for gh-4341 + # Unpacking should work on structured arrays + txt = TextIO("M 21 72\nF 35 58") + dt = {'names': ('a', 'b', 'c'), 'formats': ('S1', 'i4', 'f4')} + a, b, c = np.genfromtxt(txt, dtype=dt, unpack=True) + assert_equal(a.dtype, np.dtype('S1')) + assert_equal(b.dtype, np.dtype('i4')) + assert_equal(c.dtype, np.dtype('f4')) + assert_array_equal(a, np.array([b'M', b'F'])) + assert_array_equal(b, np.array([21, 35])) + assert_array_equal(c, np.array([72., 58.])) + + def test_unpack_auto_dtype(self): + # Regression test for gh-4341 + # Unpacking should work when dtype=None + txt = TextIO("M 21 72.\nF 35 58.") + expected = (np.array(["M", "F"]), np.array([21, 35]), np.array([72., 58.])) + test = np.genfromtxt(txt, dtype=None, unpack=True, encoding="utf-8") + for arr, result in zip(expected, test): + assert_array_equal(arr, result) + assert_equal(arr.dtype, result.dtype) + + def test_unpack_single_name(self): + # Regression test for gh-4341 + # Unpacking should work when structured dtype has only one field + txt = TextIO("21\n35") + dt = {'names': ('a',), 'formats': ('i4',)} + expected = np.array([21, 35], dtype=np.int32) + test = np.genfromtxt(txt, dtype=dt, unpack=True) + assert_array_equal(expected, test) + assert_equal(expected.dtype, test.dtype) + + def test_squeeze_scalar(self): + # Regression test for gh-4341 + # Unpacking a scalar should give zero-dim output, + # even if dtype is structured + txt = TextIO("1") + dt = {'names': ('a',), 'formats': ('i4',)} + expected = np.array((1,), dtype=np.int32) + test = np.genfromtxt(txt, dtype=dt, unpack=True) + assert_array_equal(expected, test) + assert_equal((), test.shape) + assert_equal(expected.dtype, test.dtype) + + @pytest.mark.parametrize("ndim", [0, 1, 2]) + def test_ndmin_keyword(self, ndim: int): + # lets have the same behaviour of ndmin as loadtxt + # as they should be the same for non-missing values + txt = "42" + + a = np.loadtxt(StringIO(txt), ndmin=ndim) + b = np.genfromtxt(StringIO(txt), ndmin=ndim) + + assert_array_equal(a, b) + + +class TestPathUsage: + # Test that pathlib.Path can be used + def test_loadtxt(self): + with temppath(suffix='.txt') as path: + path = Path(path) + a = np.array([[1.1, 2], [3, 4]]) + np.savetxt(path, a) + x = np.loadtxt(path) + assert_array_equal(x, a) + + def test_save_load(self): + # Test that pathlib.Path instances can be used with save. + with temppath(suffix='.npy') as path: + path = Path(path) + a = np.array([[1, 2], [3, 4]], int) + np.save(path, a) + data = np.load(path) + assert_array_equal(data, a) + + def test_save_load_memmap(self): + # Test that pathlib.Path instances can be loaded mem-mapped. + with temppath(suffix='.npy') as path: + path = Path(path) + a = np.array([[1, 2], [3, 4]], int) + np.save(path, a) + data = np.load(path, mmap_mode='r') + assert_array_equal(data, a) + # close the mem-mapped file + del data + if IS_PYPY: + break_cycles() + break_cycles() + + @pytest.mark.xfail(IS_WASM, reason="memmap doesn't work correctly") + def test_save_load_memmap_readwrite(self): + # Test that pathlib.Path instances can be written mem-mapped. + with temppath(suffix='.npy') as path: + path = Path(path) + a = np.array([[1, 2], [3, 4]], int) + np.save(path, a) + b = np.load(path, mmap_mode='r+') + a[0][0] = 5 + b[0][0] = 5 + del b # closes the file + if IS_PYPY: + break_cycles() + break_cycles() + data = np.load(path) + assert_array_equal(data, a) + + def test_savez_load(self): + # Test that pathlib.Path instances can be used with savez. + with temppath(suffix='.npz') as path: + path = Path(path) + np.savez(path, lab='place holder') + with np.load(path) as data: + assert_array_equal(data['lab'], 'place holder') + + def test_savez_compressed_load(self): + # Test that pathlib.Path instances can be used with savez. + with temppath(suffix='.npz') as path: + path = Path(path) + np.savez_compressed(path, lab='place holder') + data = np.load(path) + assert_array_equal(data['lab'], 'place holder') + data.close() + + def test_genfromtxt(self): + with temppath(suffix='.txt') as path: + path = Path(path) + a = np.array([(1, 2), (3, 4)]) + np.savetxt(path, a) + data = np.genfromtxt(path) + assert_array_equal(a, data) + + def test_recfromtxt(self): + with temppath(suffix='.txt') as path: + path = Path(path) + with path.open('w') as f: + f.write('A,B\n0,1\n2,3') + + kwargs = dict(delimiter=",", missing_values="N/A", names=True) + test = np.recfromtxt(path, **kwargs) + control = np.array([(0, 1), (2, 3)], + dtype=[('A', int), ('B', int)]) + assert_(isinstance(test, np.recarray)) + assert_equal(test, control) + + def test_recfromcsv(self): + with temppath(suffix='.txt') as path: + path = Path(path) + with path.open('w') as f: + f.write('A,B\n0,1\n2,3') + + kwargs = dict(missing_values="N/A", names=True, case_sensitive=True) + test = np.recfromcsv(path, dtype=None, **kwargs) + control = np.array([(0, 1), (2, 3)], + dtype=[('A', int), ('B', int)]) + assert_(isinstance(test, np.recarray)) + assert_equal(test, control) + + +def test_gzip_load(): + a = np.random.random((5, 5)) + + s = BytesIO() + f = gzip.GzipFile(fileobj=s, mode="w") + + np.save(f, a) + f.close() + s.seek(0) + + f = gzip.GzipFile(fileobj=s, mode="r") + assert_array_equal(np.load(f), a) + + +# These next two classes encode the minimal API needed to save()/load() arrays. +# The `test_ducktyping` ensures they work correctly +class JustWriter: + def __init__(self, base): + self.base = base + + def write(self, s): + return self.base.write(s) + + def flush(self): + return self.base.flush() + +class JustReader: + def __init__(self, base): + self.base = base + + def read(self, n): + return self.base.read(n) + + def seek(self, off, whence=0): + return self.base.seek(off, whence) + + +def test_ducktyping(): + a = np.random.random((5, 5)) + + s = BytesIO() + f = JustWriter(s) + + np.save(f, a) + f.flush() + s.seek(0) + + f = JustReader(s) + assert_array_equal(np.load(f), a) + + + +def test_gzip_loadtxt(): + # Thanks to another windows brokenness, we can't use + # NamedTemporaryFile: a file created from this function cannot be + # reopened by another open call. So we first put the gzipped string + # of the test reference array, write it to a securely opened file, + # which is then read from by the loadtxt function + s = BytesIO() + g = gzip.GzipFile(fileobj=s, mode='w') + g.write(b'1 2 3\n') + g.close() + + s.seek(0) + with temppath(suffix='.gz') as name: + with open(name, 'wb') as f: + f.write(s.read()) + res = np.loadtxt(name) + s.close() + + assert_array_equal(res, [1, 2, 3]) + + +def test_gzip_loadtxt_from_string(): + s = BytesIO() + f = gzip.GzipFile(fileobj=s, mode="w") + f.write(b'1 2 3\n') + f.close() + s.seek(0) + + f = gzip.GzipFile(fileobj=s, mode="r") + assert_array_equal(np.loadtxt(f), [1, 2, 3]) + + +def test_npzfile_dict(): + s = BytesIO() + x = np.zeros((3, 3)) + y = np.zeros((3, 3)) + + np.savez(s, x=x, y=y) + s.seek(0) + + z = np.load(s) + + assert_('x' in z) + assert_('y' in z) + assert_('x' in z.keys()) + assert_('y' in z.keys()) + + for f, a in z.items(): + assert_(f in ['x', 'y']) + assert_equal(a.shape, (3, 3)) + + assert_(len(z.items()) == 2) + + for f in z: + assert_(f in ['x', 'y']) + + assert_('x' in z.keys()) + + +@pytest.mark.skipif(not HAS_REFCOUNT, reason="Python lacks refcounts") +def test_load_refcount(): + # Check that objects returned by np.load are directly freed based on + # their refcount, rather than needing the gc to collect them. + + f = BytesIO() + np.savez(f, [1, 2, 3]) + f.seek(0) + + with assert_no_gc_cycles(): + np.load(f) + + f.seek(0) + dt = [("a", 'u1', 2), ("b", 'u1', 2)] + with assert_no_gc_cycles(): + x = np.loadtxt(TextIO("0 1 2 3"), dtype=dt) + assert_equal(x, np.array([((0, 1), (2, 3))], dtype=dt)) + +def test_load_multiple_arrays_until_eof(): + f = BytesIO() + np.save(f, 1) + np.save(f, 2) + f.seek(0) + assert np.load(f) == 1 + assert np.load(f) == 2 + with pytest.raises(EOFError): + np.load(f) diff --git a/lib/python3.12/site-packages/numpy/lib/tests/test_loadtxt.py b/lib/python3.12/site-packages/numpy/lib/tests/test_loadtxt.py new file mode 100644 index 0000000000000000000000000000000000000000..2d805e43455d3ddbe276684fedcd31ab8b2916a4 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/tests/test_loadtxt.py @@ -0,0 +1,1048 @@ +""" +Tests specific to `np.loadtxt` added during the move of loadtxt to be backed +by C code. +These tests complement those found in `test_io.py`. +""" + +import sys +import os +import pytest +from tempfile import NamedTemporaryFile, mkstemp +from io import StringIO + +import numpy as np +from numpy.ma.testutils import assert_equal +from numpy.testing import assert_array_equal, HAS_REFCOUNT, IS_PYPY + + +def test_scientific_notation(): + """Test that both 'e' and 'E' are parsed correctly.""" + data = StringIO( + ( + "1.0e-1,2.0E1,3.0\n" + "4.0e-2,5.0E-1,6.0\n" + "7.0e-3,8.0E1,9.0\n" + "0.0e-4,1.0E-1,2.0" + ) + ) + expected = np.array( + [[0.1, 20., 3.0], [0.04, 0.5, 6], [0.007, 80., 9], [0, 0.1, 2]] + ) + assert_array_equal(np.loadtxt(data, delimiter=","), expected) + + +@pytest.mark.parametrize("comment", ["..", "//", "@-", "this is a comment:"]) +def test_comment_multiple_chars(comment): + content = "# IGNORE\n1.5, 2.5# ABC\n3.0,4.0# XXX\n5.5,6.0\n" + txt = StringIO(content.replace("#", comment)) + a = np.loadtxt(txt, delimiter=",", comments=comment) + assert_equal(a, [[1.5, 2.5], [3.0, 4.0], [5.5, 6.0]]) + + +@pytest.fixture +def mixed_types_structured(): + """ + Fixture providing hetergeneous input data with a structured dtype, along + with the associated structured array. + """ + data = StringIO( + ( + "1000;2.4;alpha;-34\n" + "2000;3.1;beta;29\n" + "3500;9.9;gamma;120\n" + "4090;8.1;delta;0\n" + "5001;4.4;epsilon;-99\n" + "6543;7.8;omega;-1\n" + ) + ) + dtype = np.dtype( + [('f0', np.uint16), ('f1', np.float64), ('f2', 'S7'), ('f3', np.int8)] + ) + expected = np.array( + [ + (1000, 2.4, "alpha", -34), + (2000, 3.1, "beta", 29), + (3500, 9.9, "gamma", 120), + (4090, 8.1, "delta", 0), + (5001, 4.4, "epsilon", -99), + (6543, 7.8, "omega", -1) + ], + dtype=dtype + ) + return data, dtype, expected + + +@pytest.mark.parametrize('skiprows', [0, 1, 2, 3]) +def test_structured_dtype_and_skiprows_no_empty_lines( + skiprows, mixed_types_structured): + data, dtype, expected = mixed_types_structured + a = np.loadtxt(data, dtype=dtype, delimiter=";", skiprows=skiprows) + assert_array_equal(a, expected[skiprows:]) + + +def test_unpack_structured(mixed_types_structured): + data, dtype, expected = mixed_types_structured + + a, b, c, d = np.loadtxt(data, dtype=dtype, delimiter=";", unpack=True) + assert_array_equal(a, expected["f0"]) + assert_array_equal(b, expected["f1"]) + assert_array_equal(c, expected["f2"]) + assert_array_equal(d, expected["f3"]) + + +def test_structured_dtype_with_shape(): + dtype = np.dtype([("a", "u1", 2), ("b", "u1", 2)]) + data = StringIO("0,1,2,3\n6,7,8,9\n") + expected = np.array([((0, 1), (2, 3)), ((6, 7), (8, 9))], dtype=dtype) + assert_array_equal(np.loadtxt(data, delimiter=",", dtype=dtype), expected) + + +def test_structured_dtype_with_multi_shape(): + dtype = np.dtype([("a", "u1", (2, 2))]) + data = StringIO("0 1 2 3\n") + expected = np.array([(((0, 1), (2, 3)),)], dtype=dtype) + assert_array_equal(np.loadtxt(data, dtype=dtype), expected) + + +def test_nested_structured_subarray(): + # Test from gh-16678 + point = np.dtype([('x', float), ('y', float)]) + dt = np.dtype([('code', int), ('points', point, (2,))]) + data = StringIO("100,1,2,3,4\n200,5,6,7,8\n") + expected = np.array( + [ + (100, [(1., 2.), (3., 4.)]), + (200, [(5., 6.), (7., 8.)]), + ], + dtype=dt + ) + assert_array_equal(np.loadtxt(data, dtype=dt, delimiter=","), expected) + + +def test_structured_dtype_offsets(): + # An aligned structured dtype will have additional padding + dt = np.dtype("i1, i4, i1, i4, i1, i4", align=True) + data = StringIO("1,2,3,4,5,6\n7,8,9,10,11,12\n") + expected = np.array([(1, 2, 3, 4, 5, 6), (7, 8, 9, 10, 11, 12)], dtype=dt) + assert_array_equal(np.loadtxt(data, delimiter=",", dtype=dt), expected) + + +@pytest.mark.parametrize("param", ("skiprows", "max_rows")) +def test_exception_negative_row_limits(param): + """skiprows and max_rows should raise for negative parameters.""" + with pytest.raises(ValueError, match="argument must be nonnegative"): + np.loadtxt("foo.bar", **{param: -3}) + + +@pytest.mark.parametrize("param", ("skiprows", "max_rows")) +def test_exception_noninteger_row_limits(param): + with pytest.raises(TypeError, match="argument must be an integer"): + np.loadtxt("foo.bar", **{param: 1.0}) + + +@pytest.mark.parametrize( + "data, shape", + [ + ("1 2 3 4 5\n", (1, 5)), # Single row + ("1\n2\n3\n4\n5\n", (5, 1)), # Single column + ] +) +def test_ndmin_single_row_or_col(data, shape): + arr = np.array([1, 2, 3, 4, 5]) + arr2d = arr.reshape(shape) + + assert_array_equal(np.loadtxt(StringIO(data), dtype=int), arr) + assert_array_equal(np.loadtxt(StringIO(data), dtype=int, ndmin=0), arr) + assert_array_equal(np.loadtxt(StringIO(data), dtype=int, ndmin=1), arr) + assert_array_equal(np.loadtxt(StringIO(data), dtype=int, ndmin=2), arr2d) + + +@pytest.mark.parametrize("badval", [-1, 3, None, "plate of shrimp"]) +def test_bad_ndmin(badval): + with pytest.raises(ValueError, match="Illegal value of ndmin keyword"): + np.loadtxt("foo.bar", ndmin=badval) + + +@pytest.mark.parametrize( + "ws", + ( + " ", # space + "\t", # tab + "\u2003", # em + "\u00A0", # non-break + "\u3000", # ideographic space + ) +) +def test_blank_lines_spaces_delimit(ws): + txt = StringIO( + f"1 2{ws}30\n\n{ws}\n" + f"4 5 60{ws}\n {ws} \n" + f"7 8 {ws} 90\n # comment\n" + f"3 2 1" + ) + # NOTE: It is unclear that the ` # comment` should succeed. Except + # for delimiter=None, which should use any whitespace (and maybe + # should just be implemented closer to Python + expected = np.array([[1, 2, 30], [4, 5, 60], [7, 8, 90], [3, 2, 1]]) + assert_equal( + np.loadtxt(txt, dtype=int, delimiter=None, comments="#"), expected + ) + + +def test_blank_lines_normal_delimiter(): + txt = StringIO('1,2,30\n\n4,5,60\n\n7,8,90\n# comment\n3,2,1') + expected = np.array([[1, 2, 30], [4, 5, 60], [7, 8, 90], [3, 2, 1]]) + assert_equal( + np.loadtxt(txt, dtype=int, delimiter=',', comments="#"), expected + ) + + +@pytest.mark.parametrize("dtype", (float, object)) +def test_maxrows_no_blank_lines(dtype): + txt = StringIO("1.5,2.5\n3.0,4.0\n5.5,6.0") + res = np.loadtxt(txt, dtype=dtype, delimiter=",", max_rows=2) + assert_equal(res.dtype, dtype) + assert_equal(res, np.array([["1.5", "2.5"], ["3.0", "4.0"]], dtype=dtype)) + + +@pytest.mark.skipif(IS_PYPY and sys.implementation.version <= (7, 3, 8), + reason="PyPy bug in error formatting") +@pytest.mark.parametrize("dtype", (np.dtype("f8"), np.dtype("i2"))) +def test_exception_message_bad_values(dtype): + txt = StringIO("1,2\n3,XXX\n5,6") + msg = f"could not convert string 'XXX' to {dtype} at row 1, column 2" + with pytest.raises(ValueError, match=msg): + np.loadtxt(txt, dtype=dtype, delimiter=",") + + +def test_converters_negative_indices(): + txt = StringIO('1.5,2.5\n3.0,XXX\n5.5,6.0') + conv = {-1: lambda s: np.nan if s == 'XXX' else float(s)} + expected = np.array([[1.5, 2.5], [3.0, np.nan], [5.5, 6.0]]) + res = np.loadtxt( + txt, dtype=np.float64, delimiter=",", converters=conv, encoding=None + ) + assert_equal(res, expected) + + +def test_converters_negative_indices_with_usecols(): + txt = StringIO('1.5,2.5,3.5\n3.0,4.0,XXX\n5.5,6.0,7.5\n') + conv = {-1: lambda s: np.nan if s == 'XXX' else float(s)} + expected = np.array([[1.5, 3.5], [3.0, np.nan], [5.5, 7.5]]) + res = np.loadtxt( + txt, + dtype=np.float64, + delimiter=",", + converters=conv, + usecols=[0, -1], + encoding=None, + ) + assert_equal(res, expected) + + # Second test with variable number of rows: + res = np.loadtxt(StringIO('''0,1,2\n0,1,2,3,4'''), delimiter=",", + usecols=[0, -1], converters={-1: (lambda x: -1)}) + assert_array_equal(res, [[0, -1], [0, -1]]) + + +def test_ragged_error(): + rows = ["1,2,3", "1,2,3", "4,3,2,1"] + with pytest.raises(ValueError, + match="the number of columns changed from 3 to 4 at row 3"): + np.loadtxt(rows, delimiter=",") + + +def test_ragged_usecols(): + # usecols, and negative ones, work even with varying number of columns. + txt = StringIO("0,0,XXX\n0,XXX,0,XXX\n0,XXX,XXX,0,XXX\n") + expected = np.array([[0, 0], [0, 0], [0, 0]]) + res = np.loadtxt(txt, dtype=float, delimiter=",", usecols=[0, -2]) + assert_equal(res, expected) + + txt = StringIO("0,0,XXX\n0\n0,XXX,XXX,0,XXX\n") + with pytest.raises(ValueError, + match="invalid column index -2 at row 2 with 1 columns"): + # There is no -2 column in the second row: + np.loadtxt(txt, dtype=float, delimiter=",", usecols=[0, -2]) + + +def test_empty_usecols(): + txt = StringIO("0,0,XXX\n0,XXX,0,XXX\n0,XXX,XXX,0,XXX\n") + res = np.loadtxt(txt, dtype=np.dtype([]), delimiter=",", usecols=[]) + assert res.shape == (3,) + assert res.dtype == np.dtype([]) + + +@pytest.mark.parametrize("c1", ["a", "の", "🫕"]) +@pytest.mark.parametrize("c2", ["a", "の", "🫕"]) +def test_large_unicode_characters(c1, c2): + # c1 and c2 span ascii, 16bit and 32bit range. + txt = StringIO(f"a,{c1},c,1.0\ne,{c2},2.0,g") + res = np.loadtxt(txt, dtype=np.dtype('U12'), delimiter=",") + expected = np.array( + [f"a,{c1},c,1.0".split(","), f"e,{c2},2.0,g".split(",")], + dtype=np.dtype('U12') + ) + assert_equal(res, expected) + + +def test_unicode_with_converter(): + txt = StringIO("cat,dog\nαβγ,δεζ\nabc,def\n") + conv = {0: lambda s: s.upper()} + res = np.loadtxt( + txt, + dtype=np.dtype("U12"), + converters=conv, + delimiter=",", + encoding=None + ) + expected = np.array([['CAT', 'dog'], ['ΑΒΓ', 'δεζ'], ['ABC', 'def']]) + assert_equal(res, expected) + + +def test_converter_with_structured_dtype(): + txt = StringIO('1.5,2.5,Abc\n3.0,4.0,dEf\n5.5,6.0,ghI\n') + dt = np.dtype([('m', np.int32), ('r', np.float32), ('code', 'U8')]) + conv = {0: lambda s: int(10*float(s)), -1: lambda s: s.upper()} + res = np.loadtxt(txt, dtype=dt, delimiter=",", converters=conv) + expected = np.array( + [(15, 2.5, 'ABC'), (30, 4.0, 'DEF'), (55, 6.0, 'GHI')], dtype=dt + ) + assert_equal(res, expected) + + +def test_converter_with_unicode_dtype(): + """ + With the default 'bytes' encoding, tokens are encoded prior to being + passed to the converter. This means that the output of the converter may + be bytes instead of unicode as expected by `read_rows`. + + This test checks that outputs from the above scenario are properly decoded + prior to parsing by `read_rows`. + """ + txt = StringIO('abc,def\nrst,xyz') + conv = bytes.upper + res = np.loadtxt( + txt, dtype=np.dtype("U3"), converters=conv, delimiter=",") + expected = np.array([['ABC', 'DEF'], ['RST', 'XYZ']]) + assert_equal(res, expected) + + +def test_read_huge_row(): + row = "1.5, 2.5," * 50000 + row = row[:-1] + "\n" + txt = StringIO(row * 2) + res = np.loadtxt(txt, delimiter=",", dtype=float) + assert_equal(res, np.tile([1.5, 2.5], (2, 50000))) + + +@pytest.mark.parametrize("dtype", "edfgFDG") +def test_huge_float(dtype): + # Covers a non-optimized path that is rarely taken: + field = "0" * 1000 + ".123456789" + dtype = np.dtype(dtype) + value = np.loadtxt([field], dtype=dtype)[()] + assert value == dtype.type("0.123456789") + + +@pytest.mark.parametrize( + ("given_dtype", "expected_dtype"), + [ + ("S", np.dtype("S5")), + ("U", np.dtype("U5")), + ], +) +def test_string_no_length_given(given_dtype, expected_dtype): + """ + The given dtype is just 'S' or 'U' with no length. In these cases, the + length of the resulting dtype is determined by the longest string found + in the file. + """ + txt = StringIO("AAA,5-1\nBBBBB,0-3\nC,4-9\n") + res = np.loadtxt(txt, dtype=given_dtype, delimiter=",") + expected = np.array( + [['AAA', '5-1'], ['BBBBB', '0-3'], ['C', '4-9']], dtype=expected_dtype + ) + assert_equal(res, expected) + assert_equal(res.dtype, expected_dtype) + + +def test_float_conversion(): + """ + Some tests that the conversion to float64 works as accurately as the + Python built-in `float` function. In a naive version of the float parser, + these strings resulted in values that were off by an ULP or two. + """ + strings = [ + '0.9999999999999999', + '9876543210.123456', + '5.43215432154321e+300', + '0.901', + '0.333', + ] + txt = StringIO('\n'.join(strings)) + res = np.loadtxt(txt) + expected = np.array([float(s) for s in strings]) + assert_equal(res, expected) + + +def test_bool(): + # Simple test for bool via integer + txt = StringIO("1, 0\n10, -1") + res = np.loadtxt(txt, dtype=bool, delimiter=",") + assert res.dtype == bool + assert_array_equal(res, [[True, False], [True, True]]) + # Make sure we use only 1 and 0 on the byte level: + assert_array_equal(res.view(np.uint8), [[1, 0], [1, 1]]) + + +@pytest.mark.skipif(IS_PYPY and sys.implementation.version <= (7, 3, 8), + reason="PyPy bug in error formatting") +@pytest.mark.parametrize("dtype", np.typecodes["AllInteger"]) +@pytest.mark.filterwarnings("error:.*integer via a float.*:DeprecationWarning") +def test_integer_signs(dtype): + dtype = np.dtype(dtype) + assert np.loadtxt(["+2"], dtype=dtype) == 2 + if dtype.kind == "u": + with pytest.raises(ValueError): + np.loadtxt(["-1\n"], dtype=dtype) + else: + assert np.loadtxt(["-2\n"], dtype=dtype) == -2 + + for sign in ["++", "+-", "--", "-+"]: + with pytest.raises(ValueError): + np.loadtxt([f"{sign}2\n"], dtype=dtype) + + +@pytest.mark.skipif(IS_PYPY and sys.implementation.version <= (7, 3, 8), + reason="PyPy bug in error formatting") +@pytest.mark.parametrize("dtype", np.typecodes["AllInteger"]) +@pytest.mark.filterwarnings("error:.*integer via a float.*:DeprecationWarning") +def test_implicit_cast_float_to_int_fails(dtype): + txt = StringIO("1.0, 2.1, 3.7\n4, 5, 6") + with pytest.raises(ValueError): + np.loadtxt(txt, dtype=dtype, delimiter=",") + +@pytest.mark.parametrize("dtype", (np.complex64, np.complex128)) +@pytest.mark.parametrize("with_parens", (False, True)) +def test_complex_parsing(dtype, with_parens): + s = "(1.0-2.5j),3.75,(7+-5.0j)\n(4),(-19e2j),(0)" + if not with_parens: + s = s.replace("(", "").replace(")", "") + + res = np.loadtxt(StringIO(s), dtype=dtype, delimiter=",") + expected = np.array( + [[1.0-2.5j, 3.75, 7-5j], [4.0, -1900j, 0]], dtype=dtype + ) + assert_equal(res, expected) + + +def test_read_from_generator(): + def gen(): + for i in range(4): + yield f"{i},{2*i},{i**2}" + + res = np.loadtxt(gen(), dtype=int, delimiter=",") + expected = np.array([[0, 0, 0], [1, 2, 1], [2, 4, 4], [3, 6, 9]]) + assert_equal(res, expected) + + +def test_read_from_generator_multitype(): + def gen(): + for i in range(3): + yield f"{i} {i / 4}" + + res = np.loadtxt(gen(), dtype="i, d", delimiter=" ") + expected = np.array([(0, 0.0), (1, 0.25), (2, 0.5)], dtype="i, d") + assert_equal(res, expected) + + +def test_read_from_bad_generator(): + def gen(): + for entry in ["1,2", b"3, 5", 12738]: + yield entry + + with pytest.raises( + TypeError, match=r"non-string returned while reading data"): + np.loadtxt(gen(), dtype="i, i", delimiter=",") + + +@pytest.mark.skipif(not HAS_REFCOUNT, reason="Python lacks refcounts") +def test_object_cleanup_on_read_error(): + sentinel = object() + already_read = 0 + + def conv(x): + nonlocal already_read + if already_read > 4999: + raise ValueError("failed half-way through!") + already_read += 1 + return sentinel + + txt = StringIO("x\n" * 10000) + + with pytest.raises(ValueError, match="at row 5000, column 1"): + np.loadtxt(txt, dtype=object, converters={0: conv}) + + assert sys.getrefcount(sentinel) == 2 + + +@pytest.mark.skipif(IS_PYPY and sys.implementation.version <= (7, 3, 8), + reason="PyPy bug in error formatting") +def test_character_not_bytes_compatible(): + """Test exception when a character cannot be encoded as 'S'.""" + data = StringIO("–") # == \u2013 + with pytest.raises(ValueError): + np.loadtxt(data, dtype="S5") + + +@pytest.mark.parametrize("conv", (0, [float], "")) +def test_invalid_converter(conv): + msg = ( + "converters must be a dictionary mapping columns to converter " + "functions or a single callable." + ) + with pytest.raises(TypeError, match=msg): + np.loadtxt(StringIO("1 2\n3 4"), converters=conv) + + +@pytest.mark.skipif(IS_PYPY and sys.implementation.version <= (7, 3, 8), + reason="PyPy bug in error formatting") +def test_converters_dict_raises_non_integer_key(): + with pytest.raises(TypeError, match="keys of the converters dict"): + np.loadtxt(StringIO("1 2\n3 4"), converters={"a": int}) + with pytest.raises(TypeError, match="keys of the converters dict"): + np.loadtxt(StringIO("1 2\n3 4"), converters={"a": int}, usecols=0) + + +@pytest.mark.parametrize("bad_col_ind", (3, -3)) +def test_converters_dict_raises_non_col_key(bad_col_ind): + data = StringIO("1 2\n3 4") + with pytest.raises(ValueError, match="converter specified for column"): + np.loadtxt(data, converters={bad_col_ind: int}) + + +def test_converters_dict_raises_val_not_callable(): + with pytest.raises(TypeError, + match="values of the converters dictionary must be callable"): + np.loadtxt(StringIO("1 2\n3 4"), converters={0: 1}) + + +@pytest.mark.parametrize("q", ('"', "'", "`")) +def test_quoted_field(q): + txt = StringIO( + f"{q}alpha, x{q}, 2.5\n{q}beta, y{q}, 4.5\n{q}gamma, z{q}, 5.0\n" + ) + dtype = np.dtype([('f0', 'U8'), ('f1', np.float64)]) + expected = np.array( + [("alpha, x", 2.5), ("beta, y", 4.5), ("gamma, z", 5.0)], dtype=dtype + ) + + res = np.loadtxt(txt, dtype=dtype, delimiter=",", quotechar=q) + assert_array_equal(res, expected) + + +@pytest.mark.parametrize("q", ('"', "'", "`")) +def test_quoted_field_with_whitepace_delimiter(q): + txt = StringIO( + f"{q}alpha, x{q} 2.5\n{q}beta, y{q} 4.5\n{q}gamma, z{q} 5.0\n" + ) + dtype = np.dtype([('f0', 'U8'), ('f1', np.float64)]) + expected = np.array( + [("alpha, x", 2.5), ("beta, y", 4.5), ("gamma, z", 5.0)], dtype=dtype + ) + + res = np.loadtxt(txt, dtype=dtype, delimiter=None, quotechar=q) + assert_array_equal(res, expected) + + +def test_quote_support_default(): + """Support for quoted fields is disabled by default.""" + txt = StringIO('"lat,long", 45, 30\n') + dtype = np.dtype([('f0', 'U24'), ('f1', np.float64), ('f2', np.float64)]) + + with pytest.raises(ValueError, + match="the dtype passed requires 3 columns but 4 were"): + np.loadtxt(txt, dtype=dtype, delimiter=",") + + # Enable quoting support with non-None value for quotechar param + txt.seek(0) + expected = np.array([("lat,long", 45., 30.)], dtype=dtype) + + res = np.loadtxt(txt, dtype=dtype, delimiter=",", quotechar='"') + assert_array_equal(res, expected) + + +@pytest.mark.skipif(IS_PYPY and sys.implementation.version <= (7, 3, 8), + reason="PyPy bug in error formatting") +def test_quotechar_multichar_error(): + txt = StringIO("1,2\n3,4") + msg = r".*must be a single unicode character or None" + with pytest.raises(TypeError, match=msg): + np.loadtxt(txt, delimiter=",", quotechar="''") + + +def test_comment_multichar_error_with_quote(): + txt = StringIO("1,2\n3,4") + msg = ( + "when multiple comments or a multi-character comment is given, " + "quotes are not supported." + ) + with pytest.raises(ValueError, match=msg): + np.loadtxt(txt, delimiter=",", comments="123", quotechar='"') + with pytest.raises(ValueError, match=msg): + np.loadtxt(txt, delimiter=",", comments=["#", "%"], quotechar='"') + + # A single character string in a tuple is unpacked though: + res = np.loadtxt(txt, delimiter=",", comments=("#",), quotechar="'") + assert_equal(res, [[1, 2], [3, 4]]) + + +def test_structured_dtype_with_quotes(): + data = StringIO( + ( + "1000;2.4;'alpha';-34\n" + "2000;3.1;'beta';29\n" + "3500;9.9;'gamma';120\n" + "4090;8.1;'delta';0\n" + "5001;4.4;'epsilon';-99\n" + "6543;7.8;'omega';-1\n" + ) + ) + dtype = np.dtype( + [('f0', np.uint16), ('f1', np.float64), ('f2', 'S7'), ('f3', np.int8)] + ) + expected = np.array( + [ + (1000, 2.4, "alpha", -34), + (2000, 3.1, "beta", 29), + (3500, 9.9, "gamma", 120), + (4090, 8.1, "delta", 0), + (5001, 4.4, "epsilon", -99), + (6543, 7.8, "omega", -1) + ], + dtype=dtype + ) + res = np.loadtxt(data, dtype=dtype, delimiter=";", quotechar="'") + assert_array_equal(res, expected) + + +def test_quoted_field_is_not_empty(): + txt = StringIO('1\n\n"4"\n""') + expected = np.array(["1", "4", ""], dtype="U1") + res = np.loadtxt(txt, delimiter=",", dtype="U1", quotechar='"') + assert_equal(res, expected) + +def test_quoted_field_is_not_empty_nonstrict(): + # Same as test_quoted_field_is_not_empty but check that we are not strict + # about missing closing quote (this is the `csv.reader` default also) + txt = StringIO('1\n\n"4"\n"') + expected = np.array(["1", "4", ""], dtype="U1") + res = np.loadtxt(txt, delimiter=",", dtype="U1", quotechar='"') + assert_equal(res, expected) + +def test_consecutive_quotechar_escaped(): + txt = StringIO('"Hello, my name is ""Monty""!"') + expected = np.array('Hello, my name is "Monty"!', dtype="U40") + res = np.loadtxt(txt, dtype="U40", delimiter=",", quotechar='"') + assert_equal(res, expected) + + +@pytest.mark.parametrize("data", ("", "\n\n\n", "# 1 2 3\n# 4 5 6\n")) +@pytest.mark.parametrize("ndmin", (0, 1, 2)) +@pytest.mark.parametrize("usecols", [None, (1, 2, 3)]) +def test_warn_on_no_data(data, ndmin, usecols): + """Check that a UserWarning is emitted when no data is read from input.""" + if usecols is not None: + expected_shape = (0, 3) + elif ndmin == 2: + expected_shape = (0, 1) # guess a single column?! + else: + expected_shape = (0,) + + txt = StringIO(data) + with pytest.warns(UserWarning, match="input contained no data"): + res = np.loadtxt(txt, ndmin=ndmin, usecols=usecols) + assert res.shape == expected_shape + + with NamedTemporaryFile(mode="w") as fh: + fh.write(data) + fh.seek(0) + with pytest.warns(UserWarning, match="input contained no data"): + res = np.loadtxt(txt, ndmin=ndmin, usecols=usecols) + assert res.shape == expected_shape + +@pytest.mark.parametrize("skiprows", (2, 3)) +def test_warn_on_skipped_data(skiprows): + data = "1 2 3\n4 5 6" + txt = StringIO(data) + with pytest.warns(UserWarning, match="input contained no data"): + np.loadtxt(txt, skiprows=skiprows) + + +@pytest.mark.parametrize(["dtype", "value"], [ + ("i2", 0x0001), ("u2", 0x0001), + ("i4", 0x00010203), ("u4", 0x00010203), + ("i8", 0x0001020304050607), ("u8", 0x0001020304050607), + # The following values are constructed to lead to unique bytes: + ("float16", 3.07e-05), + ("float32", 9.2557e-41), ("complex64", 9.2557e-41+2.8622554e-29j), + ("float64", -1.758571353180402e-24), + # Here and below, the repr side-steps a small loss of precision in + # complex `str` in PyPy (which is probably fine, as repr works): + ("complex128", repr(5.406409232372729e-29-1.758571353180402e-24j)), + # Use integer values that fit into double. Everything else leads to + # problems due to longdoubles going via double and decimal strings + # causing rounding errors. + ("longdouble", 0x01020304050607), + ("clongdouble", repr(0x01020304050607 + (0x00121314151617 * 1j))), + ("U2", "\U00010203\U000a0b0c")]) +@pytest.mark.parametrize("swap", [True, False]) +def test_byteswapping_and_unaligned(dtype, value, swap): + # Try to create "interesting" values within the valid unicode range: + dtype = np.dtype(dtype) + data = [f"x,{value}\n"] # repr as PyPy `str` truncates some + if swap: + dtype = dtype.newbyteorder() + full_dt = np.dtype([("a", "S1"), ("b", dtype)], align=False) + # The above ensures that the interesting "b" field is unaligned: + assert full_dt.fields["b"][1] == 1 + res = np.loadtxt(data, dtype=full_dt, delimiter=",", encoding=None, + max_rows=1) # max-rows prevents over-allocation + assert res["b"] == dtype.type(value) + + +@pytest.mark.parametrize("dtype", + np.typecodes["AllInteger"] + "efdFD" + "?") +def test_unicode_whitespace_stripping(dtype): + # Test that all numeric types (and bool) strip whitespace correctly + # \u202F is a narrow no-break space, `\n` is just a whitespace if quoted. + # Currently, skip float128 as it did not always support this and has no + # "custom" parsing: + txt = StringIO(' 3 ,"\u202F2\n"') + res = np.loadtxt(txt, dtype=dtype, delimiter=",", quotechar='"') + assert_array_equal(res, np.array([3, 2]).astype(dtype)) + + +@pytest.mark.parametrize("dtype", "FD") +def test_unicode_whitespace_stripping_complex(dtype): + # Complex has a few extra cases since it has two components and + # parentheses + line = " 1 , 2+3j , ( 4+5j ), ( 6+-7j ) , 8j , ( 9j ) \n" + data = [line, line.replace(" ", "\u202F")] + res = np.loadtxt(data, dtype=dtype, delimiter=',') + assert_array_equal(res, np.array([[1, 2+3j, 4+5j, 6-7j, 8j, 9j]] * 2)) + + +@pytest.mark.skipif(IS_PYPY and sys.implementation.version <= (7, 3, 8), + reason="PyPy bug in error formatting") +@pytest.mark.parametrize("dtype", "FD") +@pytest.mark.parametrize("field", + ["1 +2j", "1+ 2j", "1+2 j", "1+-+3", "(1j", "(1", "(1+2j", "1+2j)"]) +def test_bad_complex(dtype, field): + with pytest.raises(ValueError): + np.loadtxt([field + "\n"], dtype=dtype, delimiter=",") + + +@pytest.mark.skipif(IS_PYPY and sys.implementation.version <= (7, 3, 8), + reason="PyPy bug in error formatting") +@pytest.mark.parametrize("dtype", + np.typecodes["AllInteger"] + "efgdFDG" + "?") +def test_nul_character_error(dtype): + # Test that a \0 character is correctly recognized as an error even if + # what comes before is valid (not everything gets parsed internally). + if dtype.lower() == "g": + pytest.xfail("longdouble/clongdouble assignment may misbehave.") + with pytest.raises(ValueError): + np.loadtxt(["1\000"], dtype=dtype, delimiter=",", quotechar='"') + + +@pytest.mark.skipif(IS_PYPY and sys.implementation.version <= (7, 3, 8), + reason="PyPy bug in error formatting") +@pytest.mark.parametrize("dtype", + np.typecodes["AllInteger"] + "efgdFDG" + "?") +def test_no_thousands_support(dtype): + # Mainly to document behaviour, Python supports thousands like 1_1. + # (e and G may end up using different conversion and support it, this is + # a bug but happens...) + if dtype == "e": + pytest.skip("half assignment currently uses Python float converter") + if dtype in "eG": + pytest.xfail("clongdouble assignment is buggy (uses `complex`?).") + + assert int("1_1") == float("1_1") == complex("1_1") == 11 + with pytest.raises(ValueError): + np.loadtxt(["1_1\n"], dtype=dtype) + + +@pytest.mark.parametrize("data", [ + ["1,2\n", "2\n,3\n"], + ["1,2\n", "2\r,3\n"]]) +def test_bad_newline_in_iterator(data): + # In NumPy <=1.22 this was accepted, because newlines were completely + # ignored when the input was an iterable. This could be changed, but right + # now, we raise an error. + msg = "Found an unquoted embedded newline within a single line" + with pytest.raises(ValueError, match=msg): + np.loadtxt(data, delimiter=",") + + +@pytest.mark.parametrize("data", [ + ["1,2\n", "2,3\r\n"], # a universal newline + ["1,2\n", "'2\n',3\n"], # a quoted newline + ["1,2\n", "'2\r',3\n"], + ["1,2\n", "'2\r\n',3\n"], +]) +def test_good_newline_in_iterator(data): + # The quoted newlines will be untransformed here, but are just whitespace. + res = np.loadtxt(data, delimiter=",", quotechar="'") + assert_array_equal(res, [[1., 2.], [2., 3.]]) + + +@pytest.mark.parametrize("newline", ["\n", "\r", "\r\n"]) +def test_universal_newlines_quoted(newline): + # Check that universal newline support within the tokenizer is not applied + # to quoted fields. (note that lines must end in newline or quoted + # fields will not include a newline at all) + data = ['1,"2\n"\n', '3,"4\n', '1"\n'] + data = [row.replace("\n", newline) for row in data] + res = np.loadtxt(data, dtype=object, delimiter=",", quotechar='"') + assert_array_equal(res, [['1', f'2{newline}'], ['3', f'4{newline}1']]) + + +def test_null_character(): + # Basic tests to check that the NUL character is not special: + res = np.loadtxt(["1\0002\0003\n", "4\0005\0006"], delimiter="\000") + assert_array_equal(res, [[1, 2, 3], [4, 5, 6]]) + + # Also not as part of a field (avoid unicode/arrays as unicode strips \0) + res = np.loadtxt(["1\000,2\000,3\n", "4\000,5\000,6"], + delimiter=",", dtype=object) + assert res.tolist() == [["1\000", "2\000", "3"], ["4\000", "5\000", "6"]] + + +def test_iterator_fails_getting_next_line(): + class BadSequence: + def __len__(self): + return 100 + + def __getitem__(self, item): + if item == 50: + raise RuntimeError("Bad things happened!") + return f"{item}, {item+1}" + + with pytest.raises(RuntimeError, match="Bad things happened!"): + np.loadtxt(BadSequence(), dtype=int, delimiter=",") + + +class TestCReaderUnitTests: + # These are internal tests for path that should not be possible to hit + # unless things go very very wrong somewhere. + def test_not_an_filelike(self): + with pytest.raises(AttributeError, match=".*read"): + np.core._multiarray_umath._load_from_filelike( + object(), dtype=np.dtype("i"), filelike=True) + + def test_filelike_read_fails(self): + # Can only be reached if loadtxt opens the file, so it is hard to do + # via the public interface (although maybe not impossible considering + # the current "DataClass" backing). + class BadFileLike: + counter = 0 + + def read(self, size): + self.counter += 1 + if self.counter > 20: + raise RuntimeError("Bad bad bad!") + return "1,2,3\n" + + with pytest.raises(RuntimeError, match="Bad bad bad!"): + np.core._multiarray_umath._load_from_filelike( + BadFileLike(), dtype=np.dtype("i"), filelike=True) + + def test_filelike_bad_read(self): + # Can only be reached if loadtxt opens the file, so it is hard to do + # via the public interface (although maybe not impossible considering + # the current "DataClass" backing). + + class BadFileLike: + counter = 0 + + def read(self, size): + return 1234 # not a string! + + with pytest.raises(TypeError, + match="non-string returned while reading data"): + np.core._multiarray_umath._load_from_filelike( + BadFileLike(), dtype=np.dtype("i"), filelike=True) + + def test_not_an_iter(self): + with pytest.raises(TypeError, + match="error reading from object, expected an iterable"): + np.core._multiarray_umath._load_from_filelike( + object(), dtype=np.dtype("i"), filelike=False) + + def test_bad_type(self): + with pytest.raises(TypeError, match="internal error: dtype must"): + np.core._multiarray_umath._load_from_filelike( + object(), dtype="i", filelike=False) + + def test_bad_encoding(self): + with pytest.raises(TypeError, match="encoding must be a unicode"): + np.core._multiarray_umath._load_from_filelike( + object(), dtype=np.dtype("i"), filelike=False, encoding=123) + + @pytest.mark.parametrize("newline", ["\r", "\n", "\r\n"]) + def test_manual_universal_newlines(self, newline): + # This is currently not available to users, because we should always + # open files with universal newlines enabled `newlines=None`. + # (And reading from an iterator uses slightly different code paths.) + # We have no real support for `newline="\r"` or `newline="\n" as the + # user cannot specify those options. + data = StringIO('0\n1\n"2\n"\n3\n4 #\n'.replace("\n", newline), + newline="") + + res = np.core._multiarray_umath._load_from_filelike( + data, dtype=np.dtype("U10"), filelike=True, + quote='"', comment="#", skiplines=1) + assert_array_equal(res[:, 0], ["1", f"2{newline}", "3", "4 "]) + + +def test_delimiter_comment_collision_raises(): + with pytest.raises(TypeError, match=".*control characters.*incompatible"): + np.loadtxt(StringIO("1, 2, 3"), delimiter=",", comments=",") + + +def test_delimiter_quotechar_collision_raises(): + with pytest.raises(TypeError, match=".*control characters.*incompatible"): + np.loadtxt(StringIO("1, 2, 3"), delimiter=",", quotechar=",") + + +def test_comment_quotechar_collision_raises(): + with pytest.raises(TypeError, match=".*control characters.*incompatible"): + np.loadtxt(StringIO("1 2 3"), comments="#", quotechar="#") + + +def test_delimiter_and_multiple_comments_collision_raises(): + with pytest.raises( + TypeError, match="Comment characters.*cannot include the delimiter" + ): + np.loadtxt(StringIO("1, 2, 3"), delimiter=",", comments=["#", ","]) + + +@pytest.mark.parametrize( + "ws", + ( + " ", # space + "\t", # tab + "\u2003", # em + "\u00A0", # non-break + "\u3000", # ideographic space + ) +) +def test_collision_with_default_delimiter_raises(ws): + with pytest.raises(TypeError, match=".*control characters.*incompatible"): + np.loadtxt(StringIO(f"1{ws}2{ws}3\n4{ws}5{ws}6\n"), comments=ws) + with pytest.raises(TypeError, match=".*control characters.*incompatible"): + np.loadtxt(StringIO(f"1{ws}2{ws}3\n4{ws}5{ws}6\n"), quotechar=ws) + + +@pytest.mark.parametrize("nl", ("\n", "\r")) +def test_control_character_newline_raises(nl): + txt = StringIO(f"1{nl}2{nl}3{nl}{nl}4{nl}5{nl}6{nl}{nl}") + msg = "control character.*cannot be a newline" + with pytest.raises(TypeError, match=msg): + np.loadtxt(txt, delimiter=nl) + with pytest.raises(TypeError, match=msg): + np.loadtxt(txt, comments=nl) + with pytest.raises(TypeError, match=msg): + np.loadtxt(txt, quotechar=nl) + + +@pytest.mark.parametrize( + ("generic_data", "long_datum", "unitless_dtype", "expected_dtype"), + [ + ("2012-03", "2013-01-15", "M8", "M8[D]"), # Datetimes + ("spam-a-lot", "tis_but_a_scratch", "U", "U17"), # str + ], +) +@pytest.mark.parametrize("nrows", (10, 50000, 60000)) # lt, eq, gt chunksize +def test_parametric_unit_discovery( + generic_data, long_datum, unitless_dtype, expected_dtype, nrows +): + """Check that the correct unit (e.g. month, day, second) is discovered from + the data when a user specifies a unitless datetime.""" + # Unit should be "D" (days) due to last entry + data = [generic_data] * 50000 + [long_datum] + expected = np.array(data, dtype=expected_dtype) + + # file-like path + txt = StringIO("\n".join(data)) + a = np.loadtxt(txt, dtype=unitless_dtype) + assert a.dtype == expected.dtype + assert_equal(a, expected) + + # file-obj path + fd, fname = mkstemp() + os.close(fd) + with open(fname, "w") as fh: + fh.write("\n".join(data)) + a = np.loadtxt(fname, dtype=unitless_dtype) + os.remove(fname) + assert a.dtype == expected.dtype + assert_equal(a, expected) + + +def test_str_dtype_unit_discovery_with_converter(): + data = ["spam-a-lot"] * 60000 + ["XXXtis_but_a_scratch"] + expected = np.array( + ["spam-a-lot"] * 60000 + ["tis_but_a_scratch"], dtype="U17" + ) + conv = lambda s: s.strip("XXX") + + # file-like path + txt = StringIO("\n".join(data)) + a = np.loadtxt(txt, dtype="U", converters=conv, encoding=None) + assert a.dtype == expected.dtype + assert_equal(a, expected) + + # file-obj path + fd, fname = mkstemp() + os.close(fd) + with open(fname, "w") as fh: + fh.write("\n".join(data)) + a = np.loadtxt(fname, dtype="U", converters=conv, encoding=None) + os.remove(fname) + assert a.dtype == expected.dtype + assert_equal(a, expected) + + +@pytest.mark.skipif(IS_PYPY and sys.implementation.version <= (7, 3, 8), + reason="PyPy bug in error formatting") +def test_control_character_empty(): + with pytest.raises(TypeError, match="Text reading control character must"): + np.loadtxt(StringIO("1 2 3"), delimiter="") + with pytest.raises(TypeError, match="Text reading control character must"): + np.loadtxt(StringIO("1 2 3"), quotechar="") + with pytest.raises(ValueError, match="comments cannot be an empty string"): + np.loadtxt(StringIO("1 2 3"), comments="") + with pytest.raises(ValueError, match="comments cannot be an empty string"): + np.loadtxt(StringIO("1 2 3"), comments=["#", ""]) + + +def test_control_characters_as_bytes(): + """Byte control characters (comments, delimiter) are supported.""" + a = np.loadtxt(StringIO("#header\n1,2,3"), comments=b"#", delimiter=b",") + assert_equal(a, [1, 2, 3]) + + +@pytest.mark.filterwarnings('ignore::UserWarning') +def test_field_growing_cases(): + # Test empty field appending/growing (each field still takes 1 character) + # to see if the final field appending does not create issues. + res = np.loadtxt([""], delimiter=",", dtype=bytes) + assert len(res) == 0 + + for i in range(1, 1024): + res = np.loadtxt(["," * i], delimiter=",", dtype=bytes) + assert len(res) == i+1 diff --git a/lib/python3.12/site-packages/numpy/lib/tests/test_mixins.py b/lib/python3.12/site-packages/numpy/lib/tests/test_mixins.py new file mode 100644 index 0000000000000000000000000000000000000000..632058763b7d9e826122af6834bb72d4bd970434 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/tests/test_mixins.py @@ -0,0 +1,216 @@ +import numbers +import operator + +import numpy as np +from numpy.testing import assert_, assert_equal, assert_raises + + +# NOTE: This class should be kept as an exact copy of the example from the +# docstring for NDArrayOperatorsMixin. + +class ArrayLike(np.lib.mixins.NDArrayOperatorsMixin): + def __init__(self, value): + self.value = np.asarray(value) + + # One might also consider adding the built-in list type to this + # list, to support operations like np.add(array_like, list) + _HANDLED_TYPES = (np.ndarray, numbers.Number) + + def __array_ufunc__(self, ufunc, method, *inputs, **kwargs): + out = kwargs.get('out', ()) + for x in inputs + out: + # Only support operations with instances of _HANDLED_TYPES. + # Use ArrayLike instead of type(self) for isinstance to + # allow subclasses that don't override __array_ufunc__ to + # handle ArrayLike objects. + if not isinstance(x, self._HANDLED_TYPES + (ArrayLike,)): + return NotImplemented + + # Defer to the implementation of the ufunc on unwrapped values. + inputs = tuple(x.value if isinstance(x, ArrayLike) else x + for x in inputs) + if out: + kwargs['out'] = tuple( + x.value if isinstance(x, ArrayLike) else x + for x in out) + result = getattr(ufunc, method)(*inputs, **kwargs) + + if type(result) is tuple: + # multiple return values + return tuple(type(self)(x) for x in result) + elif method == 'at': + # no return value + return None + else: + # one return value + return type(self)(result) + + def __repr__(self): + return '%s(%r)' % (type(self).__name__, self.value) + + +def wrap_array_like(result): + if type(result) is tuple: + return tuple(ArrayLike(r) for r in result) + else: + return ArrayLike(result) + + +def _assert_equal_type_and_value(result, expected, err_msg=None): + assert_equal(type(result), type(expected), err_msg=err_msg) + if isinstance(result, tuple): + assert_equal(len(result), len(expected), err_msg=err_msg) + for result_item, expected_item in zip(result, expected): + _assert_equal_type_and_value(result_item, expected_item, err_msg) + else: + assert_equal(result.value, expected.value, err_msg=err_msg) + assert_equal(getattr(result.value, 'dtype', None), + getattr(expected.value, 'dtype', None), err_msg=err_msg) + + +_ALL_BINARY_OPERATORS = [ + operator.lt, + operator.le, + operator.eq, + operator.ne, + operator.gt, + operator.ge, + operator.add, + operator.sub, + operator.mul, + operator.truediv, + operator.floordiv, + operator.mod, + divmod, + pow, + operator.lshift, + operator.rshift, + operator.and_, + operator.xor, + operator.or_, +] + + +class TestNDArrayOperatorsMixin: + + def test_array_like_add(self): + + def check(result): + _assert_equal_type_and_value(result, ArrayLike(0)) + + check(ArrayLike(0) + 0) + check(0 + ArrayLike(0)) + + check(ArrayLike(0) + np.array(0)) + check(np.array(0) + ArrayLike(0)) + + check(ArrayLike(np.array(0)) + 0) + check(0 + ArrayLike(np.array(0))) + + check(ArrayLike(np.array(0)) + np.array(0)) + check(np.array(0) + ArrayLike(np.array(0))) + + def test_inplace(self): + array_like = ArrayLike(np.array([0])) + array_like += 1 + _assert_equal_type_and_value(array_like, ArrayLike(np.array([1]))) + + array = np.array([0]) + array += ArrayLike(1) + _assert_equal_type_and_value(array, ArrayLike(np.array([1]))) + + def test_opt_out(self): + + class OptOut: + """Object that opts out of __array_ufunc__.""" + __array_ufunc__ = None + + def __add__(self, other): + return self + + def __radd__(self, other): + return self + + array_like = ArrayLike(1) + opt_out = OptOut() + + # supported operations + assert_(array_like + opt_out is opt_out) + assert_(opt_out + array_like is opt_out) + + # not supported + with assert_raises(TypeError): + # don't use the Python default, array_like = array_like + opt_out + array_like += opt_out + with assert_raises(TypeError): + array_like - opt_out + with assert_raises(TypeError): + opt_out - array_like + + def test_subclass(self): + + class SubArrayLike(ArrayLike): + """Should take precedence over ArrayLike.""" + + x = ArrayLike(0) + y = SubArrayLike(1) + _assert_equal_type_and_value(x + y, y) + _assert_equal_type_and_value(y + x, y) + + def test_object(self): + x = ArrayLike(0) + obj = object() + with assert_raises(TypeError): + x + obj + with assert_raises(TypeError): + obj + x + with assert_raises(TypeError): + x += obj + + def test_unary_methods(self): + array = np.array([-1, 0, 1, 2]) + array_like = ArrayLike(array) + for op in [operator.neg, + operator.pos, + abs, + operator.invert]: + _assert_equal_type_and_value(op(array_like), ArrayLike(op(array))) + + def test_forward_binary_methods(self): + array = np.array([-1, 0, 1, 2]) + array_like = ArrayLike(array) + for op in _ALL_BINARY_OPERATORS: + expected = wrap_array_like(op(array, 1)) + actual = op(array_like, 1) + err_msg = 'failed for operator {}'.format(op) + _assert_equal_type_and_value(expected, actual, err_msg=err_msg) + + def test_reflected_binary_methods(self): + for op in _ALL_BINARY_OPERATORS: + expected = wrap_array_like(op(2, 1)) + actual = op(2, ArrayLike(1)) + err_msg = 'failed for operator {}'.format(op) + _assert_equal_type_and_value(expected, actual, err_msg=err_msg) + + def test_matmul(self): + array = np.array([1, 2], dtype=np.float64) + array_like = ArrayLike(array) + expected = ArrayLike(np.float64(5)) + _assert_equal_type_and_value(expected, np.matmul(array_like, array)) + _assert_equal_type_and_value( + expected, operator.matmul(array_like, array)) + _assert_equal_type_and_value( + expected, operator.matmul(array, array_like)) + + def test_ufunc_at(self): + array = ArrayLike(np.array([1, 2, 3, 4])) + assert_(np.negative.at(array, np.array([0, 1])) is None) + _assert_equal_type_and_value(array, ArrayLike([-1, -2, 3, 4])) + + def test_ufunc_two_outputs(self): + mantissa, exponent = np.frexp(2 ** -3) + expected = (ArrayLike(mantissa), ArrayLike(exponent)) + _assert_equal_type_and_value( + np.frexp(ArrayLike(2 ** -3)), expected) + _assert_equal_type_and_value( + np.frexp(ArrayLike(np.array(2 ** -3))), expected) diff --git a/lib/python3.12/site-packages/numpy/lib/tests/test_nanfunctions.py b/lib/python3.12/site-packages/numpy/lib/tests/test_nanfunctions.py new file mode 100644 index 0000000000000000000000000000000000000000..257de381b39499ea1605ef317bd0991c91d41026 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/tests/test_nanfunctions.py @@ -0,0 +1,1268 @@ +import warnings +import pytest +import inspect + +import numpy as np +from numpy.core.numeric import normalize_axis_tuple +from numpy.lib.nanfunctions import _nan_mask, _replace_nan +from numpy.testing import ( + assert_, assert_equal, assert_almost_equal, assert_raises, + assert_array_equal, suppress_warnings + ) + + +# Test data +_ndat = np.array([[0.6244, np.nan, 0.2692, 0.0116, np.nan, 0.1170], + [0.5351, -0.9403, np.nan, 0.2100, 0.4759, 0.2833], + [np.nan, np.nan, np.nan, 0.1042, np.nan, -0.5954], + [0.1610, np.nan, np.nan, 0.1859, 0.3146, np.nan]]) + + +# Rows of _ndat with nans removed +_rdat = [np.array([0.6244, 0.2692, 0.0116, 0.1170]), + np.array([0.5351, -0.9403, 0.2100, 0.4759, 0.2833]), + np.array([0.1042, -0.5954]), + np.array([0.1610, 0.1859, 0.3146])] + +# Rows of _ndat with nans converted to ones +_ndat_ones = np.array([[0.6244, 1.0, 0.2692, 0.0116, 1.0, 0.1170], + [0.5351, -0.9403, 1.0, 0.2100, 0.4759, 0.2833], + [1.0, 1.0, 1.0, 0.1042, 1.0, -0.5954], + [0.1610, 1.0, 1.0, 0.1859, 0.3146, 1.0]]) + +# Rows of _ndat with nans converted to zeros +_ndat_zeros = np.array([[0.6244, 0.0, 0.2692, 0.0116, 0.0, 0.1170], + [0.5351, -0.9403, 0.0, 0.2100, 0.4759, 0.2833], + [0.0, 0.0, 0.0, 0.1042, 0.0, -0.5954], + [0.1610, 0.0, 0.0, 0.1859, 0.3146, 0.0]]) + + +class TestSignatureMatch: + NANFUNCS = { + np.nanmin: np.amin, + np.nanmax: np.amax, + np.nanargmin: np.argmin, + np.nanargmax: np.argmax, + np.nansum: np.sum, + np.nanprod: np.prod, + np.nancumsum: np.cumsum, + np.nancumprod: np.cumprod, + np.nanmean: np.mean, + np.nanmedian: np.median, + np.nanpercentile: np.percentile, + np.nanquantile: np.quantile, + np.nanvar: np.var, + np.nanstd: np.std, + } + IDS = [k.__name__ for k in NANFUNCS] + + @staticmethod + def get_signature(func, default="..."): + """Construct a signature and replace all default parameter-values.""" + prm_list = [] + signature = inspect.signature(func) + for prm in signature.parameters.values(): + if prm.default is inspect.Parameter.empty: + prm_list.append(prm) + else: + prm_list.append(prm.replace(default=default)) + return inspect.Signature(prm_list) + + @pytest.mark.parametrize("nan_func,func", NANFUNCS.items(), ids=IDS) + def test_signature_match(self, nan_func, func): + # Ignore the default parameter-values as they can sometimes differ + # between the two functions (*e.g.* one has `False` while the other + # has `np._NoValue`) + signature = self.get_signature(func) + nan_signature = self.get_signature(nan_func) + np.testing.assert_equal(signature, nan_signature) + + def test_exhaustiveness(self): + """Validate that all nan functions are actually tested.""" + np.testing.assert_equal( + set(self.IDS), set(np.lib.nanfunctions.__all__) + ) + + +class TestNanFunctions_MinMax: + + nanfuncs = [np.nanmin, np.nanmax] + stdfuncs = [np.min, np.max] + + def test_mutation(self): + # Check that passed array is not modified. + ndat = _ndat.copy() + for f in self.nanfuncs: + f(ndat) + assert_equal(ndat, _ndat) + + def test_keepdims(self): + mat = np.eye(3) + for nf, rf in zip(self.nanfuncs, self.stdfuncs): + for axis in [None, 0, 1]: + tgt = rf(mat, axis=axis, keepdims=True) + res = nf(mat, axis=axis, keepdims=True) + assert_(res.ndim == tgt.ndim) + + def test_out(self): + mat = np.eye(3) + for nf, rf in zip(self.nanfuncs, self.stdfuncs): + resout = np.zeros(3) + tgt = rf(mat, axis=1) + res = nf(mat, axis=1, out=resout) + assert_almost_equal(res, resout) + assert_almost_equal(res, tgt) + + def test_dtype_from_input(self): + codes = 'efdgFDG' + for nf, rf in zip(self.nanfuncs, self.stdfuncs): + for c in codes: + mat = np.eye(3, dtype=c) + tgt = rf(mat, axis=1).dtype.type + res = nf(mat, axis=1).dtype.type + assert_(res is tgt) + # scalar case + tgt = rf(mat, axis=None).dtype.type + res = nf(mat, axis=None).dtype.type + assert_(res is tgt) + + def test_result_values(self): + for nf, rf in zip(self.nanfuncs, self.stdfuncs): + tgt = [rf(d) for d in _rdat] + res = nf(_ndat, axis=1) + assert_almost_equal(res, tgt) + + @pytest.mark.parametrize("axis", [None, 0, 1]) + @pytest.mark.parametrize("dtype", np.typecodes["AllFloat"]) + @pytest.mark.parametrize("array", [ + np.array(np.nan), + np.full((3, 3), np.nan), + ], ids=["0d", "2d"]) + def test_allnans(self, axis, dtype, array): + if axis is not None and array.ndim == 0: + pytest.skip(f"`axis != None` not supported for 0d arrays") + + array = array.astype(dtype) + match = "All-NaN slice encountered" + for func in self.nanfuncs: + with pytest.warns(RuntimeWarning, match=match): + out = func(array, axis=axis) + assert np.isnan(out).all() + assert out.dtype == array.dtype + + def test_masked(self): + mat = np.ma.fix_invalid(_ndat) + msk = mat._mask.copy() + for f in [np.nanmin]: + res = f(mat, axis=1) + tgt = f(_ndat, axis=1) + assert_equal(res, tgt) + assert_equal(mat._mask, msk) + assert_(not np.isinf(mat).any()) + + def test_scalar(self): + for f in self.nanfuncs: + assert_(f(0.) == 0.) + + def test_subclass(self): + class MyNDArray(np.ndarray): + pass + + # Check that it works and that type and + # shape are preserved + mine = np.eye(3).view(MyNDArray) + for f in self.nanfuncs: + res = f(mine, axis=0) + assert_(isinstance(res, MyNDArray)) + assert_(res.shape == (3,)) + res = f(mine, axis=1) + assert_(isinstance(res, MyNDArray)) + assert_(res.shape == (3,)) + res = f(mine) + assert_(res.shape == ()) + + # check that rows of nan are dealt with for subclasses (#4628) + mine[1] = np.nan + for f in self.nanfuncs: + with warnings.catch_warnings(record=True) as w: + warnings.simplefilter('always') + res = f(mine, axis=0) + assert_(isinstance(res, MyNDArray)) + assert_(not np.any(np.isnan(res))) + assert_(len(w) == 0) + + with warnings.catch_warnings(record=True) as w: + warnings.simplefilter('always') + res = f(mine, axis=1) + assert_(isinstance(res, MyNDArray)) + assert_(np.isnan(res[1]) and not np.isnan(res[0]) + and not np.isnan(res[2])) + assert_(len(w) == 1, 'no warning raised') + assert_(issubclass(w[0].category, RuntimeWarning)) + + with warnings.catch_warnings(record=True) as w: + warnings.simplefilter('always') + res = f(mine) + assert_(res.shape == ()) + assert_(res != np.nan) + assert_(len(w) == 0) + + def test_object_array(self): + arr = np.array([[1.0, 2.0], [np.nan, 4.0], [np.nan, np.nan]], dtype=object) + assert_equal(np.nanmin(arr), 1.0) + assert_equal(np.nanmin(arr, axis=0), [1.0, 2.0]) + + with warnings.catch_warnings(record=True) as w: + warnings.simplefilter('always') + # assert_equal does not work on object arrays of nan + assert_equal(list(np.nanmin(arr, axis=1)), [1.0, 4.0, np.nan]) + assert_(len(w) == 1, 'no warning raised') + assert_(issubclass(w[0].category, RuntimeWarning)) + + @pytest.mark.parametrize("dtype", np.typecodes["AllFloat"]) + def test_initial(self, dtype): + class MyNDArray(np.ndarray): + pass + + ar = np.arange(9).astype(dtype) + ar[:5] = np.nan + + for f in self.nanfuncs: + initial = 100 if f is np.nanmax else 0 + + ret1 = f(ar, initial=initial) + assert ret1.dtype == dtype + assert ret1 == initial + + ret2 = f(ar.view(MyNDArray), initial=initial) + assert ret2.dtype == dtype + assert ret2 == initial + + @pytest.mark.parametrize("dtype", np.typecodes["AllFloat"]) + def test_where(self, dtype): + class MyNDArray(np.ndarray): + pass + + ar = np.arange(9).reshape(3, 3).astype(dtype) + ar[0, :] = np.nan + where = np.ones_like(ar, dtype=np.bool_) + where[:, 0] = False + + for f in self.nanfuncs: + reference = 4 if f is np.nanmin else 8 + + ret1 = f(ar, where=where, initial=5) + assert ret1.dtype == dtype + assert ret1 == reference + + ret2 = f(ar.view(MyNDArray), where=where, initial=5) + assert ret2.dtype == dtype + assert ret2 == reference + + +class TestNanFunctions_ArgminArgmax: + + nanfuncs = [np.nanargmin, np.nanargmax] + + def test_mutation(self): + # Check that passed array is not modified. + ndat = _ndat.copy() + for f in self.nanfuncs: + f(ndat) + assert_equal(ndat, _ndat) + + def test_result_values(self): + for f, fcmp in zip(self.nanfuncs, [np.greater, np.less]): + for row in _ndat: + with suppress_warnings() as sup: + sup.filter(RuntimeWarning, "invalid value encountered in") + ind = f(row) + val = row[ind] + # comparing with NaN is tricky as the result + # is always false except for NaN != NaN + assert_(not np.isnan(val)) + assert_(not fcmp(val, row).any()) + assert_(not np.equal(val, row[:ind]).any()) + + @pytest.mark.parametrize("axis", [None, 0, 1]) + @pytest.mark.parametrize("dtype", np.typecodes["AllFloat"]) + @pytest.mark.parametrize("array", [ + np.array(np.nan), + np.full((3, 3), np.nan), + ], ids=["0d", "2d"]) + def test_allnans(self, axis, dtype, array): + if axis is not None and array.ndim == 0: + pytest.skip(f"`axis != None` not supported for 0d arrays") + + array = array.astype(dtype) + for func in self.nanfuncs: + with pytest.raises(ValueError, match="All-NaN slice encountered"): + func(array, axis=axis) + + def test_empty(self): + mat = np.zeros((0, 3)) + for f in self.nanfuncs: + for axis in [0, None]: + assert_raises(ValueError, f, mat, axis=axis) + for axis in [1]: + res = f(mat, axis=axis) + assert_equal(res, np.zeros(0)) + + def test_scalar(self): + for f in self.nanfuncs: + assert_(f(0.) == 0.) + + def test_subclass(self): + class MyNDArray(np.ndarray): + pass + + # Check that it works and that type and + # shape are preserved + mine = np.eye(3).view(MyNDArray) + for f in self.nanfuncs: + res = f(mine, axis=0) + assert_(isinstance(res, MyNDArray)) + assert_(res.shape == (3,)) + res = f(mine, axis=1) + assert_(isinstance(res, MyNDArray)) + assert_(res.shape == (3,)) + res = f(mine) + assert_(res.shape == ()) + + @pytest.mark.parametrize("dtype", np.typecodes["AllFloat"]) + def test_keepdims(self, dtype): + ar = np.arange(9).astype(dtype) + ar[:5] = np.nan + + for f in self.nanfuncs: + reference = 5 if f is np.nanargmin else 8 + ret = f(ar, keepdims=True) + assert ret.ndim == ar.ndim + assert ret == reference + + @pytest.mark.parametrize("dtype", np.typecodes["AllFloat"]) + def test_out(self, dtype): + ar = np.arange(9).astype(dtype) + ar[:5] = np.nan + + for f in self.nanfuncs: + out = np.zeros((), dtype=np.intp) + reference = 5 if f is np.nanargmin else 8 + ret = f(ar, out=out) + assert ret is out + assert ret == reference + + + +_TEST_ARRAYS = { + "0d": np.array(5), + "1d": np.array([127, 39, 93, 87, 46]) +} +for _v in _TEST_ARRAYS.values(): + _v.setflags(write=False) + + +@pytest.mark.parametrize( + "dtype", + np.typecodes["AllInteger"] + np.typecodes["AllFloat"] + "O", +) +@pytest.mark.parametrize("mat", _TEST_ARRAYS.values(), ids=_TEST_ARRAYS.keys()) +class TestNanFunctions_NumberTypes: + nanfuncs = { + np.nanmin: np.min, + np.nanmax: np.max, + np.nanargmin: np.argmin, + np.nanargmax: np.argmax, + np.nansum: np.sum, + np.nanprod: np.prod, + np.nancumsum: np.cumsum, + np.nancumprod: np.cumprod, + np.nanmean: np.mean, + np.nanmedian: np.median, + np.nanvar: np.var, + np.nanstd: np.std, + } + nanfunc_ids = [i.__name__ for i in nanfuncs] + + @pytest.mark.parametrize("nanfunc,func", nanfuncs.items(), ids=nanfunc_ids) + @np.errstate(over="ignore") + def test_nanfunc(self, mat, dtype, nanfunc, func): + mat = mat.astype(dtype) + tgt = func(mat) + out = nanfunc(mat) + + assert_almost_equal(out, tgt) + if dtype == "O": + assert type(out) is type(tgt) + else: + assert out.dtype == tgt.dtype + + @pytest.mark.parametrize( + "nanfunc,func", + [(np.nanquantile, np.quantile), (np.nanpercentile, np.percentile)], + ids=["nanquantile", "nanpercentile"], + ) + def test_nanfunc_q(self, mat, dtype, nanfunc, func): + mat = mat.astype(dtype) + if mat.dtype.kind == "c": + assert_raises(TypeError, func, mat, q=1) + assert_raises(TypeError, nanfunc, mat, q=1) + + else: + tgt = func(mat, q=1) + out = nanfunc(mat, q=1) + + assert_almost_equal(out, tgt) + + if dtype == "O": + assert type(out) is type(tgt) + else: + assert out.dtype == tgt.dtype + + @pytest.mark.parametrize( + "nanfunc,func", + [(np.nanvar, np.var), (np.nanstd, np.std)], + ids=["nanvar", "nanstd"], + ) + def test_nanfunc_ddof(self, mat, dtype, nanfunc, func): + mat = mat.astype(dtype) + tgt = func(mat, ddof=0.5) + out = nanfunc(mat, ddof=0.5) + + assert_almost_equal(out, tgt) + if dtype == "O": + assert type(out) is type(tgt) + else: + assert out.dtype == tgt.dtype + + +class SharedNanFunctionsTestsMixin: + def test_mutation(self): + # Check that passed array is not modified. + ndat = _ndat.copy() + for f in self.nanfuncs: + f(ndat) + assert_equal(ndat, _ndat) + + def test_keepdims(self): + mat = np.eye(3) + for nf, rf in zip(self.nanfuncs, self.stdfuncs): + for axis in [None, 0, 1]: + tgt = rf(mat, axis=axis, keepdims=True) + res = nf(mat, axis=axis, keepdims=True) + assert_(res.ndim == tgt.ndim) + + def test_out(self): + mat = np.eye(3) + for nf, rf in zip(self.nanfuncs, self.stdfuncs): + resout = np.zeros(3) + tgt = rf(mat, axis=1) + res = nf(mat, axis=1, out=resout) + assert_almost_equal(res, resout) + assert_almost_equal(res, tgt) + + def test_dtype_from_dtype(self): + mat = np.eye(3) + codes = 'efdgFDG' + for nf, rf in zip(self.nanfuncs, self.stdfuncs): + for c in codes: + with suppress_warnings() as sup: + if nf in {np.nanstd, np.nanvar} and c in 'FDG': + # Giving the warning is a small bug, see gh-8000 + sup.filter(np.ComplexWarning) + tgt = rf(mat, dtype=np.dtype(c), axis=1).dtype.type + res = nf(mat, dtype=np.dtype(c), axis=1).dtype.type + assert_(res is tgt) + # scalar case + tgt = rf(mat, dtype=np.dtype(c), axis=None).dtype.type + res = nf(mat, dtype=np.dtype(c), axis=None).dtype.type + assert_(res is tgt) + + def test_dtype_from_char(self): + mat = np.eye(3) + codes = 'efdgFDG' + for nf, rf in zip(self.nanfuncs, self.stdfuncs): + for c in codes: + with suppress_warnings() as sup: + if nf in {np.nanstd, np.nanvar} and c in 'FDG': + # Giving the warning is a small bug, see gh-8000 + sup.filter(np.ComplexWarning) + tgt = rf(mat, dtype=c, axis=1).dtype.type + res = nf(mat, dtype=c, axis=1).dtype.type + assert_(res is tgt) + # scalar case + tgt = rf(mat, dtype=c, axis=None).dtype.type + res = nf(mat, dtype=c, axis=None).dtype.type + assert_(res is tgt) + + def test_dtype_from_input(self): + codes = 'efdgFDG' + for nf, rf in zip(self.nanfuncs, self.stdfuncs): + for c in codes: + mat = np.eye(3, dtype=c) + tgt = rf(mat, axis=1).dtype.type + res = nf(mat, axis=1).dtype.type + assert_(res is tgt, "res %s, tgt %s" % (res, tgt)) + # scalar case + tgt = rf(mat, axis=None).dtype.type + res = nf(mat, axis=None).dtype.type + assert_(res is tgt) + + def test_result_values(self): + for nf, rf in zip(self.nanfuncs, self.stdfuncs): + tgt = [rf(d) for d in _rdat] + res = nf(_ndat, axis=1) + assert_almost_equal(res, tgt) + + def test_scalar(self): + for f in self.nanfuncs: + assert_(f(0.) == 0.) + + def test_subclass(self): + class MyNDArray(np.ndarray): + pass + + # Check that it works and that type and + # shape are preserved + array = np.eye(3) + mine = array.view(MyNDArray) + for f in self.nanfuncs: + expected_shape = f(array, axis=0).shape + res = f(mine, axis=0) + assert_(isinstance(res, MyNDArray)) + assert_(res.shape == expected_shape) + expected_shape = f(array, axis=1).shape + res = f(mine, axis=1) + assert_(isinstance(res, MyNDArray)) + assert_(res.shape == expected_shape) + expected_shape = f(array).shape + res = f(mine) + assert_(isinstance(res, MyNDArray)) + assert_(res.shape == expected_shape) + + +class TestNanFunctions_SumProd(SharedNanFunctionsTestsMixin): + + nanfuncs = [np.nansum, np.nanprod] + stdfuncs = [np.sum, np.prod] + + @pytest.mark.parametrize("axis", [None, 0, 1]) + @pytest.mark.parametrize("dtype", np.typecodes["AllFloat"]) + @pytest.mark.parametrize("array", [ + np.array(np.nan), + np.full((3, 3), np.nan), + ], ids=["0d", "2d"]) + def test_allnans(self, axis, dtype, array): + if axis is not None and array.ndim == 0: + pytest.skip(f"`axis != None` not supported for 0d arrays") + + array = array.astype(dtype) + for func, identity in zip(self.nanfuncs, [0, 1]): + out = func(array, axis=axis) + assert np.all(out == identity) + assert out.dtype == array.dtype + + def test_empty(self): + for f, tgt_value in zip([np.nansum, np.nanprod], [0, 1]): + mat = np.zeros((0, 3)) + tgt = [tgt_value]*3 + res = f(mat, axis=0) + assert_equal(res, tgt) + tgt = [] + res = f(mat, axis=1) + assert_equal(res, tgt) + tgt = tgt_value + res = f(mat, axis=None) + assert_equal(res, tgt) + + @pytest.mark.parametrize("dtype", np.typecodes["AllFloat"]) + def test_initial(self, dtype): + ar = np.arange(9).astype(dtype) + ar[:5] = np.nan + + for f in self.nanfuncs: + reference = 28 if f is np.nansum else 3360 + ret = f(ar, initial=2) + assert ret.dtype == dtype + assert ret == reference + + @pytest.mark.parametrize("dtype", np.typecodes["AllFloat"]) + def test_where(self, dtype): + ar = np.arange(9).reshape(3, 3).astype(dtype) + ar[0, :] = np.nan + where = np.ones_like(ar, dtype=np.bool_) + where[:, 0] = False + + for f in self.nanfuncs: + reference = 26 if f is np.nansum else 2240 + ret = f(ar, where=where, initial=2) + assert ret.dtype == dtype + assert ret == reference + + +class TestNanFunctions_CumSumProd(SharedNanFunctionsTestsMixin): + + nanfuncs = [np.nancumsum, np.nancumprod] + stdfuncs = [np.cumsum, np.cumprod] + + @pytest.mark.parametrize("axis", [None, 0, 1]) + @pytest.mark.parametrize("dtype", np.typecodes["AllFloat"]) + @pytest.mark.parametrize("array", [ + np.array(np.nan), + np.full((3, 3), np.nan) + ], ids=["0d", "2d"]) + def test_allnans(self, axis, dtype, array): + if axis is not None and array.ndim == 0: + pytest.skip(f"`axis != None` not supported for 0d arrays") + + array = array.astype(dtype) + for func, identity in zip(self.nanfuncs, [0, 1]): + out = func(array) + assert np.all(out == identity) + assert out.dtype == array.dtype + + def test_empty(self): + for f, tgt_value in zip(self.nanfuncs, [0, 1]): + mat = np.zeros((0, 3)) + tgt = tgt_value*np.ones((0, 3)) + res = f(mat, axis=0) + assert_equal(res, tgt) + tgt = mat + res = f(mat, axis=1) + assert_equal(res, tgt) + tgt = np.zeros((0)) + res = f(mat, axis=None) + assert_equal(res, tgt) + + def test_keepdims(self): + for f, g in zip(self.nanfuncs, self.stdfuncs): + mat = np.eye(3) + for axis in [None, 0, 1]: + tgt = f(mat, axis=axis, out=None) + res = g(mat, axis=axis, out=None) + assert_(res.ndim == tgt.ndim) + + for f in self.nanfuncs: + d = np.ones((3, 5, 7, 11)) + # Randomly set some elements to NaN: + rs = np.random.RandomState(0) + d[rs.rand(*d.shape) < 0.5] = np.nan + res = f(d, axis=None) + assert_equal(res.shape, (1155,)) + for axis in np.arange(4): + res = f(d, axis=axis) + assert_equal(res.shape, (3, 5, 7, 11)) + + def test_result_values(self): + for axis in (-2, -1, 0, 1, None): + tgt = np.cumprod(_ndat_ones, axis=axis) + res = np.nancumprod(_ndat, axis=axis) + assert_almost_equal(res, tgt) + tgt = np.cumsum(_ndat_zeros,axis=axis) + res = np.nancumsum(_ndat, axis=axis) + assert_almost_equal(res, tgt) + + def test_out(self): + mat = np.eye(3) + for nf, rf in zip(self.nanfuncs, self.stdfuncs): + resout = np.eye(3) + for axis in (-2, -1, 0, 1): + tgt = rf(mat, axis=axis) + res = nf(mat, axis=axis, out=resout) + assert_almost_equal(res, resout) + assert_almost_equal(res, tgt) + + +class TestNanFunctions_MeanVarStd(SharedNanFunctionsTestsMixin): + + nanfuncs = [np.nanmean, np.nanvar, np.nanstd] + stdfuncs = [np.mean, np.var, np.std] + + def test_dtype_error(self): + for f in self.nanfuncs: + for dtype in [np.bool_, np.int_, np.object_]: + assert_raises(TypeError, f, _ndat, axis=1, dtype=dtype) + + def test_out_dtype_error(self): + for f in self.nanfuncs: + for dtype in [np.bool_, np.int_, np.object_]: + out = np.empty(_ndat.shape[0], dtype=dtype) + assert_raises(TypeError, f, _ndat, axis=1, out=out) + + def test_ddof(self): + nanfuncs = [np.nanvar, np.nanstd] + stdfuncs = [np.var, np.std] + for nf, rf in zip(nanfuncs, stdfuncs): + for ddof in [0, 1]: + tgt = [rf(d, ddof=ddof) for d in _rdat] + res = nf(_ndat, axis=1, ddof=ddof) + assert_almost_equal(res, tgt) + + def test_ddof_too_big(self): + nanfuncs = [np.nanvar, np.nanstd] + stdfuncs = [np.var, np.std] + dsize = [len(d) for d in _rdat] + for nf, rf in zip(nanfuncs, stdfuncs): + for ddof in range(5): + with suppress_warnings() as sup: + sup.record(RuntimeWarning) + sup.filter(np.ComplexWarning) + tgt = [ddof >= d for d in dsize] + res = nf(_ndat, axis=1, ddof=ddof) + assert_equal(np.isnan(res), tgt) + if any(tgt): + assert_(len(sup.log) == 1) + else: + assert_(len(sup.log) == 0) + + @pytest.mark.parametrize("axis", [None, 0, 1]) + @pytest.mark.parametrize("dtype", np.typecodes["AllFloat"]) + @pytest.mark.parametrize("array", [ + np.array(np.nan), + np.full((3, 3), np.nan), + ], ids=["0d", "2d"]) + def test_allnans(self, axis, dtype, array): + if axis is not None and array.ndim == 0: + pytest.skip(f"`axis != None` not supported for 0d arrays") + + array = array.astype(dtype) + match = "(Degrees of freedom <= 0 for slice.)|(Mean of empty slice)" + for func in self.nanfuncs: + with pytest.warns(RuntimeWarning, match=match): + out = func(array, axis=axis) + assert np.isnan(out).all() + + # `nanvar` and `nanstd` convert complex inputs to their + # corresponding floating dtype + if func is np.nanmean: + assert out.dtype == array.dtype + else: + assert out.dtype == np.abs(array).dtype + + def test_empty(self): + mat = np.zeros((0, 3)) + for f in self.nanfuncs: + for axis in [0, None]: + with warnings.catch_warnings(record=True) as w: + warnings.simplefilter('always') + assert_(np.isnan(f(mat, axis=axis)).all()) + assert_(len(w) == 1) + assert_(issubclass(w[0].category, RuntimeWarning)) + for axis in [1]: + with warnings.catch_warnings(record=True) as w: + warnings.simplefilter('always') + assert_equal(f(mat, axis=axis), np.zeros([])) + assert_(len(w) == 0) + + @pytest.mark.parametrize("dtype", np.typecodes["AllFloat"]) + def test_where(self, dtype): + ar = np.arange(9).reshape(3, 3).astype(dtype) + ar[0, :] = np.nan + where = np.ones_like(ar, dtype=np.bool_) + where[:, 0] = False + + for f, f_std in zip(self.nanfuncs, self.stdfuncs): + reference = f_std(ar[where][2:]) + dtype_reference = dtype if f is np.nanmean else ar.real.dtype + + ret = f(ar, where=where) + assert ret.dtype == dtype_reference + np.testing.assert_allclose(ret, reference) + + +_TIME_UNITS = ( + "Y", "M", "W", "D", "h", "m", "s", "ms", "us", "ns", "ps", "fs", "as" +) + +# All `inexact` + `timdelta64` type codes +_TYPE_CODES = list(np.typecodes["AllFloat"]) +_TYPE_CODES += [f"m8[{unit}]" for unit in _TIME_UNITS] + + +class TestNanFunctions_Median: + + def test_mutation(self): + # Check that passed array is not modified. + ndat = _ndat.copy() + np.nanmedian(ndat) + assert_equal(ndat, _ndat) + + def test_keepdims(self): + mat = np.eye(3) + for axis in [None, 0, 1]: + tgt = np.median(mat, axis=axis, out=None, overwrite_input=False) + res = np.nanmedian(mat, axis=axis, out=None, overwrite_input=False) + assert_(res.ndim == tgt.ndim) + + d = np.ones((3, 5, 7, 11)) + # Randomly set some elements to NaN: + w = np.random.random((4, 200)) * np.array(d.shape)[:, None] + w = w.astype(np.intp) + d[tuple(w)] = np.nan + with suppress_warnings() as sup: + sup.filter(RuntimeWarning) + res = np.nanmedian(d, axis=None, keepdims=True) + assert_equal(res.shape, (1, 1, 1, 1)) + res = np.nanmedian(d, axis=(0, 1), keepdims=True) + assert_equal(res.shape, (1, 1, 7, 11)) + res = np.nanmedian(d, axis=(0, 3), keepdims=True) + assert_equal(res.shape, (1, 5, 7, 1)) + res = np.nanmedian(d, axis=(1,), keepdims=True) + assert_equal(res.shape, (3, 1, 7, 11)) + res = np.nanmedian(d, axis=(0, 1, 2, 3), keepdims=True) + assert_equal(res.shape, (1, 1, 1, 1)) + res = np.nanmedian(d, axis=(0, 1, 3), keepdims=True) + assert_equal(res.shape, (1, 1, 7, 1)) + + @pytest.mark.parametrize( + argnames='axis', + argvalues=[ + None, + 1, + (1, ), + (0, 1), + (-3, -1), + ] + ) + @pytest.mark.filterwarnings("ignore:All-NaN slice:RuntimeWarning") + def test_keepdims_out(self, axis): + d = np.ones((3, 5, 7, 11)) + # Randomly set some elements to NaN: + w = np.random.random((4, 200)) * np.array(d.shape)[:, None] + w = w.astype(np.intp) + d[tuple(w)] = np.nan + if axis is None: + shape_out = (1,) * d.ndim + else: + axis_norm = normalize_axis_tuple(axis, d.ndim) + shape_out = tuple( + 1 if i in axis_norm else d.shape[i] for i in range(d.ndim)) + out = np.empty(shape_out) + result = np.nanmedian(d, axis=axis, keepdims=True, out=out) + assert result is out + assert_equal(result.shape, shape_out) + + def test_out(self): + mat = np.random.rand(3, 3) + nan_mat = np.insert(mat, [0, 2], np.nan, axis=1) + resout = np.zeros(3) + tgt = np.median(mat, axis=1) + res = np.nanmedian(nan_mat, axis=1, out=resout) + assert_almost_equal(res, resout) + assert_almost_equal(res, tgt) + # 0-d output: + resout = np.zeros(()) + tgt = np.median(mat, axis=None) + res = np.nanmedian(nan_mat, axis=None, out=resout) + assert_almost_equal(res, resout) + assert_almost_equal(res, tgt) + res = np.nanmedian(nan_mat, axis=(0, 1), out=resout) + assert_almost_equal(res, resout) + assert_almost_equal(res, tgt) + + def test_small_large(self): + # test the small and large code paths, current cutoff 400 elements + for s in [5, 20, 51, 200, 1000]: + d = np.random.randn(4, s) + # Randomly set some elements to NaN: + w = np.random.randint(0, d.size, size=d.size // 5) + d.ravel()[w] = np.nan + d[:,0] = 1. # ensure at least one good value + # use normal median without nans to compare + tgt = [] + for x in d: + nonan = np.compress(~np.isnan(x), x) + tgt.append(np.median(nonan, overwrite_input=True)) + + assert_array_equal(np.nanmedian(d, axis=-1), tgt) + + def test_result_values(self): + tgt = [np.median(d) for d in _rdat] + res = np.nanmedian(_ndat, axis=1) + assert_almost_equal(res, tgt) + + @pytest.mark.parametrize("axis", [None, 0, 1]) + @pytest.mark.parametrize("dtype", _TYPE_CODES) + def test_allnans(self, dtype, axis): + mat = np.full((3, 3), np.nan).astype(dtype) + with suppress_warnings() as sup: + sup.record(RuntimeWarning) + + output = np.nanmedian(mat, axis=axis) + assert output.dtype == mat.dtype + assert np.isnan(output).all() + + if axis is None: + assert_(len(sup.log) == 1) + else: + assert_(len(sup.log) == 3) + + # Check scalar + scalar = np.array(np.nan).astype(dtype)[()] + output_scalar = np.nanmedian(scalar) + assert output_scalar.dtype == scalar.dtype + assert np.isnan(output_scalar) + + if axis is None: + assert_(len(sup.log) == 2) + else: + assert_(len(sup.log) == 4) + + def test_empty(self): + mat = np.zeros((0, 3)) + for axis in [0, None]: + with warnings.catch_warnings(record=True) as w: + warnings.simplefilter('always') + assert_(np.isnan(np.nanmedian(mat, axis=axis)).all()) + assert_(len(w) == 1) + assert_(issubclass(w[0].category, RuntimeWarning)) + for axis in [1]: + with warnings.catch_warnings(record=True) as w: + warnings.simplefilter('always') + assert_equal(np.nanmedian(mat, axis=axis), np.zeros([])) + assert_(len(w) == 0) + + def test_scalar(self): + assert_(np.nanmedian(0.) == 0.) + + def test_extended_axis_invalid(self): + d = np.ones((3, 5, 7, 11)) + assert_raises(np.AxisError, np.nanmedian, d, axis=-5) + assert_raises(np.AxisError, np.nanmedian, d, axis=(0, -5)) + assert_raises(np.AxisError, np.nanmedian, d, axis=4) + assert_raises(np.AxisError, np.nanmedian, d, axis=(0, 4)) + assert_raises(ValueError, np.nanmedian, d, axis=(1, 1)) + + def test_float_special(self): + with suppress_warnings() as sup: + sup.filter(RuntimeWarning) + for inf in [np.inf, -np.inf]: + a = np.array([[inf, np.nan], [np.nan, np.nan]]) + assert_equal(np.nanmedian(a, axis=0), [inf, np.nan]) + assert_equal(np.nanmedian(a, axis=1), [inf, np.nan]) + assert_equal(np.nanmedian(a), inf) + + # minimum fill value check + a = np.array([[np.nan, np.nan, inf], + [np.nan, np.nan, inf]]) + assert_equal(np.nanmedian(a), inf) + assert_equal(np.nanmedian(a, axis=0), [np.nan, np.nan, inf]) + assert_equal(np.nanmedian(a, axis=1), inf) + + # no mask path + a = np.array([[inf, inf], [inf, inf]]) + assert_equal(np.nanmedian(a, axis=1), inf) + + a = np.array([[inf, 7, -inf, -9], + [-10, np.nan, np.nan, 5], + [4, np.nan, np.nan, inf]], + dtype=np.float32) + if inf > 0: + assert_equal(np.nanmedian(a, axis=0), [4., 7., -inf, 5.]) + assert_equal(np.nanmedian(a), 4.5) + else: + assert_equal(np.nanmedian(a, axis=0), [-10., 7., -inf, -9.]) + assert_equal(np.nanmedian(a), -2.5) + assert_equal(np.nanmedian(a, axis=-1), [-1., -2.5, inf]) + + for i in range(0, 10): + for j in range(1, 10): + a = np.array([([np.nan] * i) + ([inf] * j)] * 2) + assert_equal(np.nanmedian(a), inf) + assert_equal(np.nanmedian(a, axis=1), inf) + assert_equal(np.nanmedian(a, axis=0), + ([np.nan] * i) + [inf] * j) + + a = np.array([([np.nan] * i) + ([-inf] * j)] * 2) + assert_equal(np.nanmedian(a), -inf) + assert_equal(np.nanmedian(a, axis=1), -inf) + assert_equal(np.nanmedian(a, axis=0), + ([np.nan] * i) + [-inf] * j) + + +class TestNanFunctions_Percentile: + + def test_mutation(self): + # Check that passed array is not modified. + ndat = _ndat.copy() + np.nanpercentile(ndat, 30) + assert_equal(ndat, _ndat) + + def test_keepdims(self): + mat = np.eye(3) + for axis in [None, 0, 1]: + tgt = np.percentile(mat, 70, axis=axis, out=None, + overwrite_input=False) + res = np.nanpercentile(mat, 70, axis=axis, out=None, + overwrite_input=False) + assert_(res.ndim == tgt.ndim) + + d = np.ones((3, 5, 7, 11)) + # Randomly set some elements to NaN: + w = np.random.random((4, 200)) * np.array(d.shape)[:, None] + w = w.astype(np.intp) + d[tuple(w)] = np.nan + with suppress_warnings() as sup: + sup.filter(RuntimeWarning) + res = np.nanpercentile(d, 90, axis=None, keepdims=True) + assert_equal(res.shape, (1, 1, 1, 1)) + res = np.nanpercentile(d, 90, axis=(0, 1), keepdims=True) + assert_equal(res.shape, (1, 1, 7, 11)) + res = np.nanpercentile(d, 90, axis=(0, 3), keepdims=True) + assert_equal(res.shape, (1, 5, 7, 1)) + res = np.nanpercentile(d, 90, axis=(1,), keepdims=True) + assert_equal(res.shape, (3, 1, 7, 11)) + res = np.nanpercentile(d, 90, axis=(0, 1, 2, 3), keepdims=True) + assert_equal(res.shape, (1, 1, 1, 1)) + res = np.nanpercentile(d, 90, axis=(0, 1, 3), keepdims=True) + assert_equal(res.shape, (1, 1, 7, 1)) + + @pytest.mark.parametrize('q', [7, [1, 7]]) + @pytest.mark.parametrize( + argnames='axis', + argvalues=[ + None, + 1, + (1,), + (0, 1), + (-3, -1), + ] + ) + @pytest.mark.filterwarnings("ignore:All-NaN slice:RuntimeWarning") + def test_keepdims_out(self, q, axis): + d = np.ones((3, 5, 7, 11)) + # Randomly set some elements to NaN: + w = np.random.random((4, 200)) * np.array(d.shape)[:, None] + w = w.astype(np.intp) + d[tuple(w)] = np.nan + if axis is None: + shape_out = (1,) * d.ndim + else: + axis_norm = normalize_axis_tuple(axis, d.ndim) + shape_out = tuple( + 1 if i in axis_norm else d.shape[i] for i in range(d.ndim)) + shape_out = np.shape(q) + shape_out + + out = np.empty(shape_out) + result = np.nanpercentile(d, q, axis=axis, keepdims=True, out=out) + assert result is out + assert_equal(result.shape, shape_out) + + def test_out(self): + mat = np.random.rand(3, 3) + nan_mat = np.insert(mat, [0, 2], np.nan, axis=1) + resout = np.zeros(3) + tgt = np.percentile(mat, 42, axis=1) + res = np.nanpercentile(nan_mat, 42, axis=1, out=resout) + assert_almost_equal(res, resout) + assert_almost_equal(res, tgt) + # 0-d output: + resout = np.zeros(()) + tgt = np.percentile(mat, 42, axis=None) + res = np.nanpercentile(nan_mat, 42, axis=None, out=resout) + assert_almost_equal(res, resout) + assert_almost_equal(res, tgt) + res = np.nanpercentile(nan_mat, 42, axis=(0, 1), out=resout) + assert_almost_equal(res, resout) + assert_almost_equal(res, tgt) + + def test_complex(self): + arr_c = np.array([0.5+3.0j, 2.1+0.5j, 1.6+2.3j], dtype='G') + assert_raises(TypeError, np.nanpercentile, arr_c, 0.5) + arr_c = np.array([0.5+3.0j, 2.1+0.5j, 1.6+2.3j], dtype='D') + assert_raises(TypeError, np.nanpercentile, arr_c, 0.5) + arr_c = np.array([0.5+3.0j, 2.1+0.5j, 1.6+2.3j], dtype='F') + assert_raises(TypeError, np.nanpercentile, arr_c, 0.5) + + def test_result_values(self): + tgt = [np.percentile(d, 28) for d in _rdat] + res = np.nanpercentile(_ndat, 28, axis=1) + assert_almost_equal(res, tgt) + # Transpose the array to fit the output convention of numpy.percentile + tgt = np.transpose([np.percentile(d, (28, 98)) for d in _rdat]) + res = np.nanpercentile(_ndat, (28, 98), axis=1) + assert_almost_equal(res, tgt) + + @pytest.mark.parametrize("axis", [None, 0, 1]) + @pytest.mark.parametrize("dtype", np.typecodes["Float"]) + @pytest.mark.parametrize("array", [ + np.array(np.nan), + np.full((3, 3), np.nan), + ], ids=["0d", "2d"]) + def test_allnans(self, axis, dtype, array): + if axis is not None and array.ndim == 0: + pytest.skip(f"`axis != None` not supported for 0d arrays") + + array = array.astype(dtype) + with pytest.warns(RuntimeWarning, match="All-NaN slice encountered"): + out = np.nanpercentile(array, 60, axis=axis) + assert np.isnan(out).all() + assert out.dtype == array.dtype + + def test_empty(self): + mat = np.zeros((0, 3)) + for axis in [0, None]: + with warnings.catch_warnings(record=True) as w: + warnings.simplefilter('always') + assert_(np.isnan(np.nanpercentile(mat, 40, axis=axis)).all()) + assert_(len(w) == 1) + assert_(issubclass(w[0].category, RuntimeWarning)) + for axis in [1]: + with warnings.catch_warnings(record=True) as w: + warnings.simplefilter('always') + assert_equal(np.nanpercentile(mat, 40, axis=axis), np.zeros([])) + assert_(len(w) == 0) + + def test_scalar(self): + assert_equal(np.nanpercentile(0., 100), 0.) + a = np.arange(6) + r = np.nanpercentile(a, 50, axis=0) + assert_equal(r, 2.5) + assert_(np.isscalar(r)) + + def test_extended_axis_invalid(self): + d = np.ones((3, 5, 7, 11)) + assert_raises(np.AxisError, np.nanpercentile, d, q=5, axis=-5) + assert_raises(np.AxisError, np.nanpercentile, d, q=5, axis=(0, -5)) + assert_raises(np.AxisError, np.nanpercentile, d, q=5, axis=4) + assert_raises(np.AxisError, np.nanpercentile, d, q=5, axis=(0, 4)) + assert_raises(ValueError, np.nanpercentile, d, q=5, axis=(1, 1)) + + def test_multiple_percentiles(self): + perc = [50, 100] + mat = np.ones((4, 3)) + nan_mat = np.nan * mat + # For checking consistency in higher dimensional case + large_mat = np.ones((3, 4, 5)) + large_mat[:, 0:2:4, :] = 0 + large_mat[:, :, 3:] *= 2 + for axis in [None, 0, 1]: + for keepdim in [False, True]: + with suppress_warnings() as sup: + sup.filter(RuntimeWarning, "All-NaN slice encountered") + val = np.percentile(mat, perc, axis=axis, keepdims=keepdim) + nan_val = np.nanpercentile(nan_mat, perc, axis=axis, + keepdims=keepdim) + assert_equal(nan_val.shape, val.shape) + + val = np.percentile(large_mat, perc, axis=axis, + keepdims=keepdim) + nan_val = np.nanpercentile(large_mat, perc, axis=axis, + keepdims=keepdim) + assert_equal(nan_val, val) + + megamat = np.ones((3, 4, 5, 6)) + assert_equal(np.nanpercentile(megamat, perc, axis=(1, 2)).shape, (2, 3, 6)) + + +class TestNanFunctions_Quantile: + # most of this is already tested by TestPercentile + + def test_regression(self): + ar = np.arange(24).reshape(2, 3, 4).astype(float) + ar[0][1] = np.nan + + assert_equal(np.nanquantile(ar, q=0.5), np.nanpercentile(ar, q=50)) + assert_equal(np.nanquantile(ar, q=0.5, axis=0), + np.nanpercentile(ar, q=50, axis=0)) + assert_equal(np.nanquantile(ar, q=0.5, axis=1), + np.nanpercentile(ar, q=50, axis=1)) + assert_equal(np.nanquantile(ar, q=[0.5], axis=1), + np.nanpercentile(ar, q=[50], axis=1)) + assert_equal(np.nanquantile(ar, q=[0.25, 0.5, 0.75], axis=1), + np.nanpercentile(ar, q=[25, 50, 75], axis=1)) + + def test_basic(self): + x = np.arange(8) * 0.5 + assert_equal(np.nanquantile(x, 0), 0.) + assert_equal(np.nanquantile(x, 1), 3.5) + assert_equal(np.nanquantile(x, 0.5), 1.75) + + def test_complex(self): + arr_c = np.array([0.5+3.0j, 2.1+0.5j, 1.6+2.3j], dtype='G') + assert_raises(TypeError, np.nanquantile, arr_c, 0.5) + arr_c = np.array([0.5+3.0j, 2.1+0.5j, 1.6+2.3j], dtype='D') + assert_raises(TypeError, np.nanquantile, arr_c, 0.5) + arr_c = np.array([0.5+3.0j, 2.1+0.5j, 1.6+2.3j], dtype='F') + assert_raises(TypeError, np.nanquantile, arr_c, 0.5) + + def test_no_p_overwrite(self): + # this is worth retesting, because quantile does not make a copy + p0 = np.array([0, 0.75, 0.25, 0.5, 1.0]) + p = p0.copy() + np.nanquantile(np.arange(100.), p, method="midpoint") + assert_array_equal(p, p0) + + p0 = p0.tolist() + p = p.tolist() + np.nanquantile(np.arange(100.), p, method="midpoint") + assert_array_equal(p, p0) + + @pytest.mark.parametrize("axis", [None, 0, 1]) + @pytest.mark.parametrize("dtype", np.typecodes["Float"]) + @pytest.mark.parametrize("array", [ + np.array(np.nan), + np.full((3, 3), np.nan), + ], ids=["0d", "2d"]) + def test_allnans(self, axis, dtype, array): + if axis is not None and array.ndim == 0: + pytest.skip(f"`axis != None` not supported for 0d arrays") + + array = array.astype(dtype) + with pytest.warns(RuntimeWarning, match="All-NaN slice encountered"): + out = np.nanquantile(array, 1, axis=axis) + assert np.isnan(out).all() + assert out.dtype == array.dtype + +@pytest.mark.parametrize("arr, expected", [ + # array of floats with some nans + (np.array([np.nan, 5.0, np.nan, np.inf]), + np.array([False, True, False, True])), + # int64 array that can't possibly have nans + (np.array([1, 5, 7, 9], dtype=np.int64), + True), + # bool array that can't possibly have nans + (np.array([False, True, False, True]), + True), + # 2-D complex array with nans + (np.array([[np.nan, 5.0], + [np.nan, np.inf]], dtype=np.complex64), + np.array([[False, True], + [False, True]])), + ]) +def test__nan_mask(arr, expected): + for out in [None, np.empty(arr.shape, dtype=np.bool_)]: + actual = _nan_mask(arr, out=out) + assert_equal(actual, expected) + # the above won't distinguish between True proper + # and an array of True values; we want True proper + # for types that can't possibly contain NaN + if type(expected) is not np.ndarray: + assert actual is True + + +def test__replace_nan(): + """ Test that _replace_nan returns the original array if there are no + NaNs, not a copy. + """ + for dtype in [np.bool_, np.int32, np.int64]: + arr = np.array([0, 1], dtype=dtype) + result, mask = _replace_nan(arr, 0) + assert mask is None + # do not make a copy if there are no nans + assert result is arr + + for dtype in [np.float32, np.float64]: + arr = np.array([0, 1], dtype=dtype) + result, mask = _replace_nan(arr, 2) + assert (mask == False).all() + # mask is not None, so we make a copy + assert result is not arr + assert_equal(result, arr) + + arr_nan = np.array([0, 1, np.nan], dtype=dtype) + result_nan, mask_nan = _replace_nan(arr_nan, 2) + assert_equal(mask_nan, np.array([False, False, True])) + assert result_nan is not arr_nan + assert_equal(result_nan, np.array([0, 1, 2])) + assert np.isnan(arr_nan[-1]) diff --git a/lib/python3.12/site-packages/numpy/lib/tests/test_packbits.py b/lib/python3.12/site-packages/numpy/lib/tests/test_packbits.py new file mode 100644 index 0000000000000000000000000000000000000000..5b07f41c62609255951edcbc56bc818137497e0e --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/tests/test_packbits.py @@ -0,0 +1,376 @@ +import numpy as np +from numpy.testing import assert_array_equal, assert_equal, assert_raises +import pytest +from itertools import chain + +def test_packbits(): + # Copied from the docstring. + a = [[[1, 0, 1], [0, 1, 0]], + [[1, 1, 0], [0, 0, 1]]] + for dt in '?bBhHiIlLqQ': + arr = np.array(a, dtype=dt) + b = np.packbits(arr, axis=-1) + assert_equal(b.dtype, np.uint8) + assert_array_equal(b, np.array([[[160], [64]], [[192], [32]]])) + + assert_raises(TypeError, np.packbits, np.array(a, dtype=float)) + + +def test_packbits_empty(): + shapes = [ + (0,), (10, 20, 0), (10, 0, 20), (0, 10, 20), (20, 0, 0), (0, 20, 0), + (0, 0, 20), (0, 0, 0), + ] + for dt in '?bBhHiIlLqQ': + for shape in shapes: + a = np.empty(shape, dtype=dt) + b = np.packbits(a) + assert_equal(b.dtype, np.uint8) + assert_equal(b.shape, (0,)) + + +def test_packbits_empty_with_axis(): + # Original shapes and lists of packed shapes for different axes. + shapes = [ + ((0,), [(0,)]), + ((10, 20, 0), [(2, 20, 0), (10, 3, 0), (10, 20, 0)]), + ((10, 0, 20), [(2, 0, 20), (10, 0, 20), (10, 0, 3)]), + ((0, 10, 20), [(0, 10, 20), (0, 2, 20), (0, 10, 3)]), + ((20, 0, 0), [(3, 0, 0), (20, 0, 0), (20, 0, 0)]), + ((0, 20, 0), [(0, 20, 0), (0, 3, 0), (0, 20, 0)]), + ((0, 0, 20), [(0, 0, 20), (0, 0, 20), (0, 0, 3)]), + ((0, 0, 0), [(0, 0, 0), (0, 0, 0), (0, 0, 0)]), + ] + for dt in '?bBhHiIlLqQ': + for in_shape, out_shapes in shapes: + for ax, out_shape in enumerate(out_shapes): + a = np.empty(in_shape, dtype=dt) + b = np.packbits(a, axis=ax) + assert_equal(b.dtype, np.uint8) + assert_equal(b.shape, out_shape) + +@pytest.mark.parametrize('bitorder', ('little', 'big')) +def test_packbits_large(bitorder): + # test data large enough for 16 byte vectorization + a = np.array([1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, + 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, + 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, + 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, + 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, + 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, + 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, + 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, + 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, + 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, + 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, + 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, + 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, + 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, + 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0]) + a = a.repeat(3) + for dtype in '?bBhHiIlLqQ': + arr = np.array(a, dtype=dtype) + b = np.packbits(arr, axis=None, bitorder=bitorder) + assert_equal(b.dtype, np.uint8) + r = [252, 127, 192, 3, 254, 7, 252, 0, 7, 31, 240, 0, 28, 1, 255, 252, + 113, 248, 3, 255, 192, 28, 15, 192, 28, 126, 0, 224, 127, 255, + 227, 142, 7, 31, 142, 63, 28, 126, 56, 227, 240, 0, 227, 128, 63, + 224, 14, 56, 252, 112, 56, 255, 241, 248, 3, 240, 56, 224, 112, + 63, 255, 255, 199, 224, 14, 0, 31, 143, 192, 3, 255, 199, 0, 1, + 255, 224, 1, 255, 252, 126, 63, 0, 1, 192, 252, 14, 63, 0, 15, + 199, 252, 113, 255, 3, 128, 56, 252, 14, 7, 0, 113, 255, 255, 142, 56, 227, + 129, 248, 227, 129, 199, 31, 128] + if bitorder == 'big': + assert_array_equal(b, r) + # equal for size being multiple of 8 + assert_array_equal(np.unpackbits(b, bitorder=bitorder)[:-4], a) + + # check last byte of different remainders (16 byte vectorization) + b = [np.packbits(arr[:-i], axis=None)[-1] for i in range(1, 16)] + assert_array_equal(b, [128, 128, 128, 31, 30, 28, 24, 16, 0, 0, 0, 199, + 198, 196, 192]) + + + arr = arr.reshape(36, 25) + b = np.packbits(arr, axis=0) + assert_equal(b.dtype, np.uint8) + assert_array_equal(b, [[190, 186, 178, 178, 150, 215, 87, 83, 83, 195, + 199, 206, 204, 204, 140, 140, 136, 136, 8, 40, 105, + 107, 75, 74, 88], + [72, 216, 248, 241, 227, 195, 202, 90, 90, 83, + 83, 119, 127, 109, 73, 64, 208, 244, 189, 45, + 41, 104, 122, 90, 18], + [113, 120, 248, 216, 152, 24, 60, 52, 182, 150, + 150, 150, 146, 210, 210, 246, 255, 255, 223, + 151, 21, 17, 17, 131, 163], + [214, 210, 210, 64, 68, 5, 5, 1, 72, 88, 92, + 92, 78, 110, 39, 181, 149, 220, 222, 218, 218, + 202, 234, 170, 168], + [0, 128, 128, 192, 80, 112, 48, 160, 160, 224, + 240, 208, 144, 128, 160, 224, 240, 208, 144, + 144, 176, 240, 224, 192, 128]]) + + b = np.packbits(arr, axis=1) + assert_equal(b.dtype, np.uint8) + assert_array_equal(b, [[252, 127, 192, 0], + [ 7, 252, 15, 128], + [240, 0, 28, 0], + [255, 128, 0, 128], + [192, 31, 255, 128], + [142, 63, 0, 0], + [255, 240, 7, 0], + [ 7, 224, 14, 0], + [126, 0, 224, 0], + [255, 255, 199, 0], + [ 56, 28, 126, 0], + [113, 248, 227, 128], + [227, 142, 63, 0], + [ 0, 28, 112, 0], + [ 15, 248, 3, 128], + [ 28, 126, 56, 0], + [ 56, 255, 241, 128], + [240, 7, 224, 0], + [227, 129, 192, 128], + [255, 255, 254, 0], + [126, 0, 224, 0], + [ 3, 241, 248, 0], + [ 0, 255, 241, 128], + [128, 0, 255, 128], + [224, 1, 255, 128], + [248, 252, 126, 0], + [ 0, 7, 3, 128], + [224, 113, 248, 0], + [ 0, 252, 127, 128], + [142, 63, 224, 0], + [224, 14, 63, 0], + [ 7, 3, 128, 0], + [113, 255, 255, 128], + [ 28, 113, 199, 0], + [ 7, 227, 142, 0], + [ 14, 56, 252, 0]]) + + arr = arr.T.copy() + b = np.packbits(arr, axis=0) + assert_equal(b.dtype, np.uint8) + assert_array_equal(b, [[252, 7, 240, 255, 192, 142, 255, 7, 126, 255, + 56, 113, 227, 0, 15, 28, 56, 240, 227, 255, + 126, 3, 0, 128, 224, 248, 0, 224, 0, 142, 224, + 7, 113, 28, 7, 14], + [127, 252, 0, 128, 31, 63, 240, 224, 0, 255, + 28, 248, 142, 28, 248, 126, 255, 7, 129, 255, + 0, 241, 255, 0, 1, 252, 7, 113, 252, 63, 14, + 3, 255, 113, 227, 56], + [192, 15, 28, 0, 255, 0, 7, 14, 224, 199, 126, + 227, 63, 112, 3, 56, 241, 224, 192, 254, 224, + 248, 241, 255, 255, 126, 3, 248, 127, 224, 63, + 128, 255, 199, 142, 252], + [0, 128, 0, 128, 128, 0, 0, 0, 0, 0, 0, 128, 0, + 0, 128, 0, 128, 0, 128, 0, 0, 0, 128, 128, + 128, 0, 128, 0, 128, 0, 0, 0, 128, 0, 0, 0]]) + + b = np.packbits(arr, axis=1) + assert_equal(b.dtype, np.uint8) + assert_array_equal(b, [[190, 72, 113, 214, 0], + [186, 216, 120, 210, 128], + [178, 248, 248, 210, 128], + [178, 241, 216, 64, 192], + [150, 227, 152, 68, 80], + [215, 195, 24, 5, 112], + [ 87, 202, 60, 5, 48], + [ 83, 90, 52, 1, 160], + [ 83, 90, 182, 72, 160], + [195, 83, 150, 88, 224], + [199, 83, 150, 92, 240], + [206, 119, 150, 92, 208], + [204, 127, 146, 78, 144], + [204, 109, 210, 110, 128], + [140, 73, 210, 39, 160], + [140, 64, 246, 181, 224], + [136, 208, 255, 149, 240], + [136, 244, 255, 220, 208], + [ 8, 189, 223, 222, 144], + [ 40, 45, 151, 218, 144], + [105, 41, 21, 218, 176], + [107, 104, 17, 202, 240], + [ 75, 122, 17, 234, 224], + [ 74, 90, 131, 170, 192], + [ 88, 18, 163, 168, 128]]) + + + # result is the same if input is multiplied with a nonzero value + for dtype in 'bBhHiIlLqQ': + arr = np.array(a, dtype=dtype) + rnd = np.random.randint(low=np.iinfo(dtype).min, + high=np.iinfo(dtype).max, size=arr.size, + dtype=dtype) + rnd[rnd == 0] = 1 + arr *= rnd.astype(dtype) + b = np.packbits(arr, axis=-1) + assert_array_equal(np.unpackbits(b)[:-4], a) + + assert_raises(TypeError, np.packbits, np.array(a, dtype=float)) + + +def test_packbits_very_large(): + # test some with a larger arrays gh-8637 + # code is covered earlier but larger array makes crash on bug more likely + for s in range(950, 1050): + for dt in '?bBhHiIlLqQ': + x = np.ones((200, s), dtype=bool) + np.packbits(x, axis=1) + + +def test_unpackbits(): + # Copied from the docstring. + a = np.array([[2], [7], [23]], dtype=np.uint8) + b = np.unpackbits(a, axis=1) + assert_equal(b.dtype, np.uint8) + assert_array_equal(b, np.array([[0, 0, 0, 0, 0, 0, 1, 0], + [0, 0, 0, 0, 0, 1, 1, 1], + [0, 0, 0, 1, 0, 1, 1, 1]])) + +def test_pack_unpack_order(): + a = np.array([[2], [7], [23]], dtype=np.uint8) + b = np.unpackbits(a, axis=1) + assert_equal(b.dtype, np.uint8) + b_little = np.unpackbits(a, axis=1, bitorder='little') + b_big = np.unpackbits(a, axis=1, bitorder='big') + assert_array_equal(b, b_big) + assert_array_equal(a, np.packbits(b_little, axis=1, bitorder='little')) + assert_array_equal(b[:,::-1], b_little) + assert_array_equal(a, np.packbits(b_big, axis=1, bitorder='big')) + assert_raises(ValueError, np.unpackbits, a, bitorder='r') + assert_raises(TypeError, np.unpackbits, a, bitorder=10) + + + +def test_unpackbits_empty(): + a = np.empty((0,), dtype=np.uint8) + b = np.unpackbits(a) + assert_equal(b.dtype, np.uint8) + assert_array_equal(b, np.empty((0,))) + + +def test_unpackbits_empty_with_axis(): + # Lists of packed shapes for different axes and unpacked shapes. + shapes = [ + ([(0,)], (0,)), + ([(2, 24, 0), (16, 3, 0), (16, 24, 0)], (16, 24, 0)), + ([(2, 0, 24), (16, 0, 24), (16, 0, 3)], (16, 0, 24)), + ([(0, 16, 24), (0, 2, 24), (0, 16, 3)], (0, 16, 24)), + ([(3, 0, 0), (24, 0, 0), (24, 0, 0)], (24, 0, 0)), + ([(0, 24, 0), (0, 3, 0), (0, 24, 0)], (0, 24, 0)), + ([(0, 0, 24), (0, 0, 24), (0, 0, 3)], (0, 0, 24)), + ([(0, 0, 0), (0, 0, 0), (0, 0, 0)], (0, 0, 0)), + ] + for in_shapes, out_shape in shapes: + for ax, in_shape in enumerate(in_shapes): + a = np.empty(in_shape, dtype=np.uint8) + b = np.unpackbits(a, axis=ax) + assert_equal(b.dtype, np.uint8) + assert_equal(b.shape, out_shape) + + +def test_unpackbits_large(): + # test all possible numbers via comparison to already tested packbits + d = np.arange(277, dtype=np.uint8) + assert_array_equal(np.packbits(np.unpackbits(d)), d) + assert_array_equal(np.packbits(np.unpackbits(d[::2])), d[::2]) + d = np.tile(d, (3, 1)) + assert_array_equal(np.packbits(np.unpackbits(d, axis=1), axis=1), d) + d = d.T.copy() + assert_array_equal(np.packbits(np.unpackbits(d, axis=0), axis=0), d) + + +class TestCount(): + x = np.array([ + [1, 0, 1, 0, 0, 1, 0], + [0, 1, 1, 1, 0, 0, 0], + [0, 0, 1, 0, 0, 1, 1], + [1, 1, 0, 0, 0, 1, 1], + [1, 0, 1, 0, 1, 0, 1], + [0, 0, 1, 1, 1, 0, 0], + [0, 1, 0, 1, 0, 1, 0], + ], dtype=np.uint8) + padded1 = np.zeros(57, dtype=np.uint8) + padded1[:49] = x.ravel() + padded1b = np.zeros(57, dtype=np.uint8) + padded1b[:49] = x[::-1].copy().ravel() + padded2 = np.zeros((9, 9), dtype=np.uint8) + padded2[:7, :7] = x + + @pytest.mark.parametrize('bitorder', ('little', 'big')) + @pytest.mark.parametrize('count', chain(range(58), range(-1, -57, -1))) + def test_roundtrip(self, bitorder, count): + if count < 0: + # one extra zero of padding + cutoff = count - 1 + else: + cutoff = count + # test complete invertibility of packbits and unpackbits with count + packed = np.packbits(self.x, bitorder=bitorder) + unpacked = np.unpackbits(packed, count=count, bitorder=bitorder) + assert_equal(unpacked.dtype, np.uint8) + assert_array_equal(unpacked, self.padded1[:cutoff]) + + @pytest.mark.parametrize('kwargs', [ + {}, {'count': None}, + ]) + def test_count(self, kwargs): + packed = np.packbits(self.x) + unpacked = np.unpackbits(packed, **kwargs) + assert_equal(unpacked.dtype, np.uint8) + assert_array_equal(unpacked, self.padded1[:-1]) + + @pytest.mark.parametrize('bitorder', ('little', 'big')) + # delta==-1 when count<0 because one extra zero of padding + @pytest.mark.parametrize('count', chain(range(8), range(-1, -9, -1))) + def test_roundtrip_axis(self, bitorder, count): + if count < 0: + # one extra zero of padding + cutoff = count - 1 + else: + cutoff = count + packed0 = np.packbits(self.x, axis=0, bitorder=bitorder) + unpacked0 = np.unpackbits(packed0, axis=0, count=count, + bitorder=bitorder) + assert_equal(unpacked0.dtype, np.uint8) + assert_array_equal(unpacked0, self.padded2[:cutoff, :self.x.shape[1]]) + + packed1 = np.packbits(self.x, axis=1, bitorder=bitorder) + unpacked1 = np.unpackbits(packed1, axis=1, count=count, + bitorder=bitorder) + assert_equal(unpacked1.dtype, np.uint8) + assert_array_equal(unpacked1, self.padded2[:self.x.shape[0], :cutoff]) + + @pytest.mark.parametrize('kwargs', [ + {}, {'count': None}, + {'bitorder' : 'little'}, + {'bitorder': 'little', 'count': None}, + {'bitorder' : 'big'}, + {'bitorder': 'big', 'count': None}, + ]) + def test_axis_count(self, kwargs): + packed0 = np.packbits(self.x, axis=0) + unpacked0 = np.unpackbits(packed0, axis=0, **kwargs) + assert_equal(unpacked0.dtype, np.uint8) + if kwargs.get('bitorder', 'big') == 'big': + assert_array_equal(unpacked0, self.padded2[:-1, :self.x.shape[1]]) + else: + assert_array_equal(unpacked0[::-1, :], self.padded2[:-1, :self.x.shape[1]]) + + packed1 = np.packbits(self.x, axis=1) + unpacked1 = np.unpackbits(packed1, axis=1, **kwargs) + assert_equal(unpacked1.dtype, np.uint8) + if kwargs.get('bitorder', 'big') == 'big': + assert_array_equal(unpacked1, self.padded2[:self.x.shape[0], :-1]) + else: + assert_array_equal(unpacked1[:, ::-1], self.padded2[:self.x.shape[0], :-1]) + + def test_bad_count(self): + packed0 = np.packbits(self.x, axis=0) + assert_raises(ValueError, np.unpackbits, packed0, axis=0, count=-9) + packed1 = np.packbits(self.x, axis=1) + assert_raises(ValueError, np.unpackbits, packed1, axis=1, count=-9) + packed = np.packbits(self.x) + assert_raises(ValueError, np.unpackbits, packed, count=-57) diff --git a/lib/python3.12/site-packages/numpy/lib/tests/test_polynomial.py b/lib/python3.12/site-packages/numpy/lib/tests/test_polynomial.py new file mode 100644 index 0000000000000000000000000000000000000000..3734344d2a85c23a762edbd104a4dac20806c5a0 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/tests/test_polynomial.py @@ -0,0 +1,303 @@ +import numpy as np +from numpy.testing import ( + assert_, assert_equal, assert_array_equal, assert_almost_equal, + assert_array_almost_equal, assert_raises, assert_allclose + ) + +import pytest + +# `poly1d` has some support for `bool_` and `timedelta64`, +# but it is limited and they are therefore excluded here +TYPE_CODES = np.typecodes["AllInteger"] + np.typecodes["AllFloat"] + "O" + + +class TestPolynomial: + def test_poly1d_str_and_repr(self): + p = np.poly1d([1., 2, 3]) + assert_equal(repr(p), 'poly1d([1., 2., 3.])') + assert_equal(str(p), + ' 2\n' + '1 x + 2 x + 3') + + q = np.poly1d([3., 2, 1]) + assert_equal(repr(q), 'poly1d([3., 2., 1.])') + assert_equal(str(q), + ' 2\n' + '3 x + 2 x + 1') + + r = np.poly1d([1.89999 + 2j, -3j, -5.12345678, 2 + 1j]) + assert_equal(str(r), + ' 3 2\n' + '(1.9 + 2j) x - 3j x - 5.123 x + (2 + 1j)') + + assert_equal(str(np.poly1d([-3, -2, -1])), + ' 2\n' + '-3 x - 2 x - 1') + + def test_poly1d_resolution(self): + p = np.poly1d([1., 2, 3]) + q = np.poly1d([3., 2, 1]) + assert_equal(p(0), 3.0) + assert_equal(p(5), 38.0) + assert_equal(q(0), 1.0) + assert_equal(q(5), 86.0) + + def test_poly1d_math(self): + # here we use some simple coeffs to make calculations easier + p = np.poly1d([1., 2, 4]) + q = np.poly1d([4., 2, 1]) + assert_equal(p/q, (np.poly1d([0.25]), np.poly1d([1.5, 3.75]))) + assert_equal(p.integ(), np.poly1d([1/3, 1., 4., 0.])) + assert_equal(p.integ(1), np.poly1d([1/3, 1., 4., 0.])) + + p = np.poly1d([1., 2, 3]) + q = np.poly1d([3., 2, 1]) + assert_equal(p * q, np.poly1d([3., 8., 14., 8., 3.])) + assert_equal(p + q, np.poly1d([4., 4., 4.])) + assert_equal(p - q, np.poly1d([-2., 0., 2.])) + assert_equal(p ** 4, np.poly1d([1., 8., 36., 104., 214., 312., 324., 216., 81.])) + assert_equal(p(q), np.poly1d([9., 12., 16., 8., 6.])) + assert_equal(q(p), np.poly1d([3., 12., 32., 40., 34.])) + assert_equal(p.deriv(), np.poly1d([2., 2.])) + assert_equal(p.deriv(2), np.poly1d([2.])) + assert_equal(np.polydiv(np.poly1d([1, 0, -1]), np.poly1d([1, 1])), + (np.poly1d([1., -1.]), np.poly1d([0.]))) + + @pytest.mark.parametrize("type_code", TYPE_CODES) + def test_poly1d_misc(self, type_code: str) -> None: + dtype = np.dtype(type_code) + ar = np.array([1, 2, 3], dtype=dtype) + p = np.poly1d(ar) + + # `__eq__` + assert_equal(np.asarray(p), ar) + assert_equal(np.asarray(p).dtype, dtype) + assert_equal(len(p), 2) + + # `__getitem__` + comparison_dct = {-1: 0, 0: 3, 1: 2, 2: 1, 3: 0} + for index, ref in comparison_dct.items(): + scalar = p[index] + assert_equal(scalar, ref) + if dtype == np.object_: + assert isinstance(scalar, int) + else: + assert_equal(scalar.dtype, dtype) + + def test_poly1d_variable_arg(self): + q = np.poly1d([1., 2, 3], variable='y') + assert_equal(str(q), + ' 2\n' + '1 y + 2 y + 3') + q = np.poly1d([1., 2, 3], variable='lambda') + assert_equal(str(q), + ' 2\n' + '1 lambda + 2 lambda + 3') + + def test_poly(self): + assert_array_almost_equal(np.poly([3, -np.sqrt(2), np.sqrt(2)]), + [1, -3, -2, 6]) + + # From matlab docs + A = [[1, 2, 3], [4, 5, 6], [7, 8, 0]] + assert_array_almost_equal(np.poly(A), [1, -6, -72, -27]) + + # Should produce real output for perfect conjugates + assert_(np.isrealobj(np.poly([+1.082j, +2.613j, -2.613j, -1.082j]))) + assert_(np.isrealobj(np.poly([0+1j, -0+-1j, 1+2j, + 1-2j, 1.+3.5j, 1-3.5j]))) + assert_(np.isrealobj(np.poly([1j, -1j, 1+2j, 1-2j, 1+3j, 1-3.j]))) + assert_(np.isrealobj(np.poly([1j, -1j, 1+2j, 1-2j]))) + assert_(np.isrealobj(np.poly([1j, -1j, 2j, -2j]))) + assert_(np.isrealobj(np.poly([1j, -1j]))) + assert_(np.isrealobj(np.poly([1, -1]))) + + assert_(np.iscomplexobj(np.poly([1j, -1.0000001j]))) + + np.random.seed(42) + a = np.random.randn(100) + 1j*np.random.randn(100) + assert_(np.isrealobj(np.poly(np.concatenate((a, np.conjugate(a)))))) + + def test_roots(self): + assert_array_equal(np.roots([1, 0, 0]), [0, 0]) + + def test_str_leading_zeros(self): + p = np.poly1d([4, 3, 2, 1]) + p[3] = 0 + assert_equal(str(p), + " 2\n" + "3 x + 2 x + 1") + + p = np.poly1d([1, 2]) + p[0] = 0 + p[1] = 0 + assert_equal(str(p), " \n0") + + def test_polyfit(self): + c = np.array([3., 2., 1.]) + x = np.linspace(0, 2, 7) + y = np.polyval(c, x) + err = [1, -1, 1, -1, 1, -1, 1] + weights = np.arange(8, 1, -1)**2/7.0 + + # Check exception when too few points for variance estimate. Note that + # the estimate requires the number of data points to exceed + # degree + 1 + assert_raises(ValueError, np.polyfit, + [1], [1], deg=0, cov=True) + + # check 1D case + m, cov = np.polyfit(x, y+err, 2, cov=True) + est = [3.8571, 0.2857, 1.619] + assert_almost_equal(est, m, decimal=4) + val0 = [[ 1.4694, -2.9388, 0.8163], + [-2.9388, 6.3673, -2.1224], + [ 0.8163, -2.1224, 1.161 ]] + assert_almost_equal(val0, cov, decimal=4) + + m2, cov2 = np.polyfit(x, y+err, 2, w=weights, cov=True) + assert_almost_equal([4.8927, -1.0177, 1.7768], m2, decimal=4) + val = [[ 4.3964, -5.0052, 0.4878], + [-5.0052, 6.8067, -0.9089], + [ 0.4878, -0.9089, 0.3337]] + assert_almost_equal(val, cov2, decimal=4) + + m3, cov3 = np.polyfit(x, y+err, 2, w=weights, cov="unscaled") + assert_almost_equal([4.8927, -1.0177, 1.7768], m3, decimal=4) + val = [[ 0.1473, -0.1677, 0.0163], + [-0.1677, 0.228 , -0.0304], + [ 0.0163, -0.0304, 0.0112]] + assert_almost_equal(val, cov3, decimal=4) + + # check 2D (n,1) case + y = y[:, np.newaxis] + c = c[:, np.newaxis] + assert_almost_equal(c, np.polyfit(x, y, 2)) + # check 2D (n,2) case + yy = np.concatenate((y, y), axis=1) + cc = np.concatenate((c, c), axis=1) + assert_almost_equal(cc, np.polyfit(x, yy, 2)) + + m, cov = np.polyfit(x, yy + np.array(err)[:, np.newaxis], 2, cov=True) + assert_almost_equal(est, m[:, 0], decimal=4) + assert_almost_equal(est, m[:, 1], decimal=4) + assert_almost_equal(val0, cov[:, :, 0], decimal=4) + assert_almost_equal(val0, cov[:, :, 1], decimal=4) + + # check order 1 (deg=0) case, were the analytic results are simple + np.random.seed(123) + y = np.random.normal(size=(4, 10000)) + mean, cov = np.polyfit(np.zeros(y.shape[0]), y, deg=0, cov=True) + # Should get sigma_mean = sigma/sqrt(N) = 1./sqrt(4) = 0.5. + assert_allclose(mean.std(), 0.5, atol=0.01) + assert_allclose(np.sqrt(cov.mean()), 0.5, atol=0.01) + # Without scaling, since reduced chi2 is 1, the result should be the same. + mean, cov = np.polyfit(np.zeros(y.shape[0]), y, w=np.ones(y.shape[0]), + deg=0, cov="unscaled") + assert_allclose(mean.std(), 0.5, atol=0.01) + assert_almost_equal(np.sqrt(cov.mean()), 0.5) + # If we estimate our errors wrong, no change with scaling: + w = np.full(y.shape[0], 1./0.5) + mean, cov = np.polyfit(np.zeros(y.shape[0]), y, w=w, deg=0, cov=True) + assert_allclose(mean.std(), 0.5, atol=0.01) + assert_allclose(np.sqrt(cov.mean()), 0.5, atol=0.01) + # But if we do not scale, our estimate for the error in the mean will + # differ. + mean, cov = np.polyfit(np.zeros(y.shape[0]), y, w=w, deg=0, cov="unscaled") + assert_allclose(mean.std(), 0.5, atol=0.01) + assert_almost_equal(np.sqrt(cov.mean()), 0.25) + + def test_objects(self): + from decimal import Decimal + p = np.poly1d([Decimal('4.0'), Decimal('3.0'), Decimal('2.0')]) + p2 = p * Decimal('1.333333333333333') + assert_(p2[1] == Decimal("3.9999999999999990")) + p2 = p.deriv() + assert_(p2[1] == Decimal('8.0')) + p2 = p.integ() + assert_(p2[3] == Decimal("1.333333333333333333333333333")) + assert_(p2[2] == Decimal('1.5')) + assert_(np.issubdtype(p2.coeffs.dtype, np.object_)) + p = np.poly([Decimal(1), Decimal(2)]) + assert_equal(np.poly([Decimal(1), Decimal(2)]), + [1, Decimal(-3), Decimal(2)]) + + def test_complex(self): + p = np.poly1d([3j, 2j, 1j]) + p2 = p.integ() + assert_((p2.coeffs == [1j, 1j, 1j, 0]).all()) + p2 = p.deriv() + assert_((p2.coeffs == [6j, 2j]).all()) + + def test_integ_coeffs(self): + p = np.poly1d([3, 2, 1]) + p2 = p.integ(3, k=[9, 7, 6]) + assert_( + (p2.coeffs == [1/4./5., 1/3./4., 1/2./3., 9/1./2., 7, 6]).all()) + + def test_zero_dims(self): + try: + np.poly(np.zeros((0, 0))) + except ValueError: + pass + + def test_poly_int_overflow(self): + """ + Regression test for gh-5096. + """ + v = np.arange(1, 21) + assert_almost_equal(np.poly(v), np.poly(np.diag(v))) + + def test_zero_poly_dtype(self): + """ + Regression test for gh-16354. + """ + z = np.array([0, 0, 0]) + p = np.poly1d(z.astype(np.int64)) + assert_equal(p.coeffs.dtype, np.int64) + + p = np.poly1d(z.astype(np.float32)) + assert_equal(p.coeffs.dtype, np.float32) + + p = np.poly1d(z.astype(np.complex64)) + assert_equal(p.coeffs.dtype, np.complex64) + + def test_poly_eq(self): + p = np.poly1d([1, 2, 3]) + p2 = np.poly1d([1, 2, 4]) + assert_equal(p == None, False) + assert_equal(p != None, True) + assert_equal(p == p, True) + assert_equal(p == p2, False) + assert_equal(p != p2, True) + + def test_polydiv(self): + b = np.poly1d([2, 6, 6, 1]) + a = np.poly1d([-1j, (1+2j), -(2+1j), 1]) + q, r = np.polydiv(b, a) + assert_equal(q.coeffs.dtype, np.complex128) + assert_equal(r.coeffs.dtype, np.complex128) + assert_equal(q*a + r, b) + + c = [1, 2, 3] + d = np.poly1d([1, 2, 3]) + s, t = np.polydiv(c, d) + assert isinstance(s, np.poly1d) + assert isinstance(t, np.poly1d) + u, v = np.polydiv(d, c) + assert isinstance(u, np.poly1d) + assert isinstance(v, np.poly1d) + + def test_poly_coeffs_mutable(self): + """ Coefficients should be modifiable """ + p = np.poly1d([1, 2, 3]) + + p.coeffs += 1 + assert_equal(p.coeffs, [2, 3, 4]) + + p.coeffs[2] += 10 + assert_equal(p.coeffs, [2, 3, 14]) + + # this never used to be allowed - let's not add features to deprecated + # APIs + assert_raises(AttributeError, setattr, p, 'coeffs', np.array(1)) diff --git a/lib/python3.12/site-packages/numpy/lib/tests/test_recfunctions.py b/lib/python3.12/site-packages/numpy/lib/tests/test_recfunctions.py new file mode 100644 index 0000000000000000000000000000000000000000..98860dfdab77665518f22041f2c176b0f27077ea --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/tests/test_recfunctions.py @@ -0,0 +1,1043 @@ +import pytest + +import numpy as np +import numpy.ma as ma +from numpy.ma.mrecords import MaskedRecords +from numpy.ma.testutils import assert_equal +from numpy.testing import assert_, assert_raises +from numpy.lib.recfunctions import ( + drop_fields, rename_fields, get_fieldstructure, recursive_fill_fields, + find_duplicates, merge_arrays, append_fields, stack_arrays, join_by, + repack_fields, unstructured_to_structured, structured_to_unstructured, + apply_along_fields, require_fields, assign_fields_by_name) +get_fieldspec = np.lib.recfunctions._get_fieldspec +get_names = np.lib.recfunctions.get_names +get_names_flat = np.lib.recfunctions.get_names_flat +zip_descr = np.lib.recfunctions._zip_descr +zip_dtype = np.lib.recfunctions._zip_dtype + + +class TestRecFunctions: + # Misc tests + + def setup_method(self): + x = np.array([1, 2, ]) + y = np.array([10, 20, 30]) + z = np.array([('A', 1.), ('B', 2.)], + dtype=[('A', '|S3'), ('B', float)]) + w = np.array([(1, (2, 3.0)), (4, (5, 6.0))], + dtype=[('a', int), ('b', [('ba', float), ('bb', int)])]) + self.data = (w, x, y, z) + + def test_zip_descr(self): + # Test zip_descr + (w, x, y, z) = self.data + + # Std array + test = zip_descr((x, x), flatten=True) + assert_equal(test, + np.dtype([('', int), ('', int)])) + test = zip_descr((x, x), flatten=False) + assert_equal(test, + np.dtype([('', int), ('', int)])) + + # Std & flexible-dtype + test = zip_descr((x, z), flatten=True) + assert_equal(test, + np.dtype([('', int), ('A', '|S3'), ('B', float)])) + test = zip_descr((x, z), flatten=False) + assert_equal(test, + np.dtype([('', int), + ('', [('A', '|S3'), ('B', float)])])) + + # Standard & nested dtype + test = zip_descr((x, w), flatten=True) + assert_equal(test, + np.dtype([('', int), + ('a', int), + ('ba', float), ('bb', int)])) + test = zip_descr((x, w), flatten=False) + assert_equal(test, + np.dtype([('', int), + ('', [('a', int), + ('b', [('ba', float), ('bb', int)])])])) + + def test_drop_fields(self): + # Test drop_fields + a = np.array([(1, (2, 3.0)), (4, (5, 6.0))], + dtype=[('a', int), ('b', [('ba', float), ('bb', int)])]) + + # A basic field + test = drop_fields(a, 'a') + control = np.array([((2, 3.0),), ((5, 6.0),)], + dtype=[('b', [('ba', float), ('bb', int)])]) + assert_equal(test, control) + + # Another basic field (but nesting two fields) + test = drop_fields(a, 'b') + control = np.array([(1,), (4,)], dtype=[('a', int)]) + assert_equal(test, control) + + # A nested sub-field + test = drop_fields(a, ['ba', ]) + control = np.array([(1, (3.0,)), (4, (6.0,))], + dtype=[('a', int), ('b', [('bb', int)])]) + assert_equal(test, control) + + # All the nested sub-field from a field: zap that field + test = drop_fields(a, ['ba', 'bb']) + control = np.array([(1,), (4,)], dtype=[('a', int)]) + assert_equal(test, control) + + # dropping all fields results in an array with no fields + test = drop_fields(a, ['a', 'b']) + control = np.array([(), ()], dtype=[]) + assert_equal(test, control) + + def test_rename_fields(self): + # Test rename fields + a = np.array([(1, (2, [3.0, 30.])), (4, (5, [6.0, 60.]))], + dtype=[('a', int), + ('b', [('ba', float), ('bb', (float, 2))])]) + test = rename_fields(a, {'a': 'A', 'bb': 'BB'}) + newdtype = [('A', int), ('b', [('ba', float), ('BB', (float, 2))])] + control = a.view(newdtype) + assert_equal(test.dtype, newdtype) + assert_equal(test, control) + + def test_get_names(self): + # Test get_names + ndtype = np.dtype([('A', '|S3'), ('B', float)]) + test = get_names(ndtype) + assert_equal(test, ('A', 'B')) + + ndtype = np.dtype([('a', int), ('b', [('ba', float), ('bb', int)])]) + test = get_names(ndtype) + assert_equal(test, ('a', ('b', ('ba', 'bb')))) + + ndtype = np.dtype([('a', int), ('b', [])]) + test = get_names(ndtype) + assert_equal(test, ('a', ('b', ()))) + + ndtype = np.dtype([]) + test = get_names(ndtype) + assert_equal(test, ()) + + def test_get_names_flat(self): + # Test get_names_flat + ndtype = np.dtype([('A', '|S3'), ('B', float)]) + test = get_names_flat(ndtype) + assert_equal(test, ('A', 'B')) + + ndtype = np.dtype([('a', int), ('b', [('ba', float), ('bb', int)])]) + test = get_names_flat(ndtype) + assert_equal(test, ('a', 'b', 'ba', 'bb')) + + ndtype = np.dtype([('a', int), ('b', [])]) + test = get_names_flat(ndtype) + assert_equal(test, ('a', 'b')) + + ndtype = np.dtype([]) + test = get_names_flat(ndtype) + assert_equal(test, ()) + + def test_get_fieldstructure(self): + # Test get_fieldstructure + + # No nested fields + ndtype = np.dtype([('A', '|S3'), ('B', float)]) + test = get_fieldstructure(ndtype) + assert_equal(test, {'A': [], 'B': []}) + + # One 1-nested field + ndtype = np.dtype([('A', int), ('B', [('BA', float), ('BB', '|S1')])]) + test = get_fieldstructure(ndtype) + assert_equal(test, {'A': [], 'B': [], 'BA': ['B', ], 'BB': ['B']}) + + # One 2-nested fields + ndtype = np.dtype([('A', int), + ('B', [('BA', int), + ('BB', [('BBA', int), ('BBB', int)])])]) + test = get_fieldstructure(ndtype) + control = {'A': [], 'B': [], 'BA': ['B'], 'BB': ['B'], + 'BBA': ['B', 'BB'], 'BBB': ['B', 'BB']} + assert_equal(test, control) + + # 0 fields + ndtype = np.dtype([]) + test = get_fieldstructure(ndtype) + assert_equal(test, {}) + + def test_find_duplicates(self): + # Test find_duplicates + a = ma.array([(2, (2., 'B')), (1, (2., 'B')), (2, (2., 'B')), + (1, (1., 'B')), (2, (2., 'B')), (2, (2., 'C'))], + mask=[(0, (0, 0)), (0, (0, 0)), (0, (0, 0)), + (0, (0, 0)), (1, (0, 0)), (0, (1, 0))], + dtype=[('A', int), ('B', [('BA', float), ('BB', '|S1')])]) + + test = find_duplicates(a, ignoremask=False, return_index=True) + control = [0, 2] + assert_equal(sorted(test[-1]), control) + assert_equal(test[0], a[test[-1]]) + + test = find_duplicates(a, key='A', return_index=True) + control = [0, 1, 2, 3, 5] + assert_equal(sorted(test[-1]), control) + assert_equal(test[0], a[test[-1]]) + + test = find_duplicates(a, key='B', return_index=True) + control = [0, 1, 2, 4] + assert_equal(sorted(test[-1]), control) + assert_equal(test[0], a[test[-1]]) + + test = find_duplicates(a, key='BA', return_index=True) + control = [0, 1, 2, 4] + assert_equal(sorted(test[-1]), control) + assert_equal(test[0], a[test[-1]]) + + test = find_duplicates(a, key='BB', return_index=True) + control = [0, 1, 2, 3, 4] + assert_equal(sorted(test[-1]), control) + assert_equal(test[0], a[test[-1]]) + + def test_find_duplicates_ignoremask(self): + # Test the ignoremask option of find_duplicates + ndtype = [('a', int)] + a = ma.array([1, 1, 1, 2, 2, 3, 3], + mask=[0, 0, 1, 0, 0, 0, 1]).view(ndtype) + test = find_duplicates(a, ignoremask=True, return_index=True) + control = [0, 1, 3, 4] + assert_equal(sorted(test[-1]), control) + assert_equal(test[0], a[test[-1]]) + + test = find_duplicates(a, ignoremask=False, return_index=True) + control = [0, 1, 2, 3, 4, 6] + assert_equal(sorted(test[-1]), control) + assert_equal(test[0], a[test[-1]]) + + def test_repack_fields(self): + dt = np.dtype('u1,f4,i8', align=True) + a = np.zeros(2, dtype=dt) + + assert_equal(repack_fields(dt), np.dtype('u1,f4,i8')) + assert_equal(repack_fields(a).itemsize, 13) + assert_equal(repack_fields(repack_fields(dt), align=True), dt) + + # make sure type is preserved + dt = np.dtype((np.record, dt)) + assert_(repack_fields(dt).type is np.record) + + def test_structured_to_unstructured(self, tmp_path): + a = np.zeros(4, dtype=[('a', 'i4'), ('b', 'f4,u2'), ('c', 'f4', 2)]) + out = structured_to_unstructured(a) + assert_equal(out, np.zeros((4,5), dtype='f8')) + + b = np.array([(1, 2, 5), (4, 5, 7), (7, 8 ,11), (10, 11, 12)], + dtype=[('x', 'i4'), ('y', 'f4'), ('z', 'f8')]) + out = np.mean(structured_to_unstructured(b[['x', 'z']]), axis=-1) + assert_equal(out, np.array([ 3. , 5.5, 9. , 11. ])) + out = np.mean(structured_to_unstructured(b[['x']]), axis=-1) + assert_equal(out, np.array([ 1. , 4. , 7. , 10. ])) + + c = np.arange(20).reshape((4,5)) + out = unstructured_to_structured(c, a.dtype) + want = np.array([( 0, ( 1., 2), [ 3., 4.]), + ( 5, ( 6., 7), [ 8., 9.]), + (10, (11., 12), [13., 14.]), + (15, (16., 17), [18., 19.])], + dtype=[('a', 'i4'), + ('b', [('f0', 'f4'), ('f1', 'u2')]), + ('c', 'f4', (2,))]) + assert_equal(out, want) + + d = np.array([(1, 2, 5), (4, 5, 7), (7, 8 ,11), (10, 11, 12)], + dtype=[('x', 'i4'), ('y', 'f4'), ('z', 'f8')]) + assert_equal(apply_along_fields(np.mean, d), + np.array([ 8.0/3, 16.0/3, 26.0/3, 11. ])) + assert_equal(apply_along_fields(np.mean, d[['x', 'z']]), + np.array([ 3. , 5.5, 9. , 11. ])) + + # check that for uniform field dtypes we get a view, not a copy: + d = np.array([(1, 2, 5), (4, 5, 7), (7, 8 ,11), (10, 11, 12)], + dtype=[('x', 'i4'), ('y', 'i4'), ('z', 'i4')]) + dd = structured_to_unstructured(d) + ddd = unstructured_to_structured(dd, d.dtype) + assert_(np.shares_memory(dd, d)) + assert_(np.shares_memory(ddd, d)) + + # check that reversing the order of attributes works + dd_attrib_rev = structured_to_unstructured(d[['z', 'x']]) + assert_equal(dd_attrib_rev, [[5, 1], [7, 4], [11, 7], [12, 10]]) + assert_(np.shares_memory(dd_attrib_rev, d)) + + # including uniform fields with subarrays unpacked + d = np.array([(1, [2, 3], [[ 4, 5], [ 6, 7]]), + (8, [9, 10], [[11, 12], [13, 14]])], + dtype=[('x0', 'i4'), ('x1', ('i4', 2)), + ('x2', ('i4', (2, 2)))]) + dd = structured_to_unstructured(d) + ddd = unstructured_to_structured(dd, d.dtype) + assert_(np.shares_memory(dd, d)) + assert_(np.shares_memory(ddd, d)) + + # check that reversing with sub-arrays works as expected + d_rev = d[::-1] + dd_rev = structured_to_unstructured(d_rev) + assert_equal(dd_rev, [[8, 9, 10, 11, 12, 13, 14], + [1, 2, 3, 4, 5, 6, 7]]) + + # check that sub-arrays keep the order of their values + d_attrib_rev = d[['x2', 'x1', 'x0']] + dd_attrib_rev = structured_to_unstructured(d_attrib_rev) + assert_equal(dd_attrib_rev, [[4, 5, 6, 7, 2, 3, 1], + [11, 12, 13, 14, 9, 10, 8]]) + + # with ignored field at the end + d = np.array([(1, [2, 3], [[4, 5], [6, 7]], 32), + (8, [9, 10], [[11, 12], [13, 14]], 64)], + dtype=[('x0', 'i4'), ('x1', ('i4', 2)), + ('x2', ('i4', (2, 2))), ('ignored', 'u1')]) + dd = structured_to_unstructured(d[['x0', 'x1', 'x2']]) + assert_(np.shares_memory(dd, d)) + assert_equal(dd, [[1, 2, 3, 4, 5, 6, 7], + [8, 9, 10, 11, 12, 13, 14]]) + + # test that nested fields with identical names don't break anything + point = np.dtype([('x', int), ('y', int)]) + triangle = np.dtype([('a', point), ('b', point), ('c', point)]) + arr = np.zeros(10, triangle) + res = structured_to_unstructured(arr, dtype=int) + assert_equal(res, np.zeros((10, 6), dtype=int)) + + + # test nested combinations of subarrays and structured arrays, gh-13333 + def subarray(dt, shape): + return np.dtype((dt, shape)) + + def structured(*dts): + return np.dtype([('x{}'.format(i), dt) for i, dt in enumerate(dts)]) + + def inspect(dt, dtype=None): + arr = np.zeros((), dt) + ret = structured_to_unstructured(arr, dtype=dtype) + backarr = unstructured_to_structured(ret, dt) + return ret.shape, ret.dtype, backarr.dtype + + dt = structured(subarray(structured(np.int32, np.int32), 3)) + assert_equal(inspect(dt), ((6,), np.int32, dt)) + + dt = structured(subarray(subarray(np.int32, 2), 2)) + assert_equal(inspect(dt), ((4,), np.int32, dt)) + + dt = structured(np.int32) + assert_equal(inspect(dt), ((1,), np.int32, dt)) + + dt = structured(np.int32, subarray(subarray(np.int32, 2), 2)) + assert_equal(inspect(dt), ((5,), np.int32, dt)) + + dt = structured() + assert_raises(ValueError, structured_to_unstructured, np.zeros(3, dt)) + + # these currently don't work, but we may make it work in the future + assert_raises(NotImplementedError, structured_to_unstructured, + np.zeros(3, dt), dtype=np.int32) + assert_raises(NotImplementedError, unstructured_to_structured, + np.zeros((3,0), dtype=np.int32)) + + # test supported ndarray subclasses + d_plain = np.array([(1, 2), (3, 4)], dtype=[('a', 'i4'), ('b', 'i4')]) + dd_expected = structured_to_unstructured(d_plain, copy=True) + + # recarray + d = d_plain.view(np.recarray) + + dd = structured_to_unstructured(d, copy=False) + ddd = structured_to_unstructured(d, copy=True) + assert_(np.shares_memory(d, dd)) + assert_(type(dd) is np.recarray) + assert_(type(ddd) is np.recarray) + assert_equal(dd, dd_expected) + assert_equal(ddd, dd_expected) + + # memmap + d = np.memmap(tmp_path / 'memmap', + mode='w+', + dtype=d_plain.dtype, + shape=d_plain.shape) + d[:] = d_plain + dd = structured_to_unstructured(d, copy=False) + ddd = structured_to_unstructured(d, copy=True) + assert_(np.shares_memory(d, dd)) + assert_(type(dd) is np.memmap) + assert_(type(ddd) is np.memmap) + assert_equal(dd, dd_expected) + assert_equal(ddd, dd_expected) + + def test_unstructured_to_structured(self): + # test if dtype is the args of np.dtype + a = np.zeros((20, 2)) + test_dtype_args = [('x', float), ('y', float)] + test_dtype = np.dtype(test_dtype_args) + field1 = unstructured_to_structured(a, dtype=test_dtype_args) # now + field2 = unstructured_to_structured(a, dtype=test_dtype) # before + assert_equal(field1, field2) + + def test_field_assignment_by_name(self): + a = np.ones(2, dtype=[('a', 'i4'), ('b', 'f8'), ('c', 'u1')]) + newdt = [('b', 'f4'), ('c', 'u1')] + + assert_equal(require_fields(a, newdt), np.ones(2, newdt)) + + b = np.array([(1,2), (3,4)], dtype=newdt) + assign_fields_by_name(a, b, zero_unassigned=False) + assert_equal(a, np.array([(1,1,2),(1,3,4)], dtype=a.dtype)) + assign_fields_by_name(a, b) + assert_equal(a, np.array([(0,1,2),(0,3,4)], dtype=a.dtype)) + + # test nested fields + a = np.ones(2, dtype=[('a', [('b', 'f8'), ('c', 'u1')])]) + newdt = [('a', [('c', 'u1')])] + assert_equal(require_fields(a, newdt), np.ones(2, newdt)) + b = np.array([((2,),), ((3,),)], dtype=newdt) + assign_fields_by_name(a, b, zero_unassigned=False) + assert_equal(a, np.array([((1,2),), ((1,3),)], dtype=a.dtype)) + assign_fields_by_name(a, b) + assert_equal(a, np.array([((0,2),), ((0,3),)], dtype=a.dtype)) + + # test unstructured code path for 0d arrays + a, b = np.array(3), np.array(0) + assign_fields_by_name(b, a) + assert_equal(b[()], 3) + + +class TestRecursiveFillFields: + # Test recursive_fill_fields. + def test_simple_flexible(self): + # Test recursive_fill_fields on flexible-array + a = np.array([(1, 10.), (2, 20.)], dtype=[('A', int), ('B', float)]) + b = np.zeros((3,), dtype=a.dtype) + test = recursive_fill_fields(a, b) + control = np.array([(1, 10.), (2, 20.), (0, 0.)], + dtype=[('A', int), ('B', float)]) + assert_equal(test, control) + + def test_masked_flexible(self): + # Test recursive_fill_fields on masked flexible-array + a = ma.array([(1, 10.), (2, 20.)], mask=[(0, 1), (1, 0)], + dtype=[('A', int), ('B', float)]) + b = ma.zeros((3,), dtype=a.dtype) + test = recursive_fill_fields(a, b) + control = ma.array([(1, 10.), (2, 20.), (0, 0.)], + mask=[(0, 1), (1, 0), (0, 0)], + dtype=[('A', int), ('B', float)]) + assert_equal(test, control) + + +class TestMergeArrays: + # Test merge_arrays + + def setup_method(self): + x = np.array([1, 2, ]) + y = np.array([10, 20, 30]) + z = np.array( + [('A', 1.), ('B', 2.)], dtype=[('A', '|S3'), ('B', float)]) + w = np.array( + [(1, (2, 3.0, ())), (4, (5, 6.0, ()))], + dtype=[('a', int), ('b', [('ba', float), ('bb', int), ('bc', [])])]) + self.data = (w, x, y, z) + + def test_solo(self): + # Test merge_arrays on a single array. + (_, x, _, z) = self.data + + test = merge_arrays(x) + control = np.array([(1,), (2,)], dtype=[('f0', int)]) + assert_equal(test, control) + test = merge_arrays((x,)) + assert_equal(test, control) + + test = merge_arrays(z, flatten=False) + assert_equal(test, z) + test = merge_arrays(z, flatten=True) + assert_equal(test, z) + + def test_solo_w_flatten(self): + # Test merge_arrays on a single array w & w/o flattening + w = self.data[0] + test = merge_arrays(w, flatten=False) + assert_equal(test, w) + + test = merge_arrays(w, flatten=True) + control = np.array([(1, 2, 3.0), (4, 5, 6.0)], + dtype=[('a', int), ('ba', float), ('bb', int)]) + assert_equal(test, control) + + def test_standard(self): + # Test standard & standard + # Test merge arrays + (_, x, y, _) = self.data + test = merge_arrays((x, y), usemask=False) + control = np.array([(1, 10), (2, 20), (-1, 30)], + dtype=[('f0', int), ('f1', int)]) + assert_equal(test, control) + + test = merge_arrays((x, y), usemask=True) + control = ma.array([(1, 10), (2, 20), (-1, 30)], + mask=[(0, 0), (0, 0), (1, 0)], + dtype=[('f0', int), ('f1', int)]) + assert_equal(test, control) + assert_equal(test.mask, control.mask) + + def test_flatten(self): + # Test standard & flexible + (_, x, _, z) = self.data + test = merge_arrays((x, z), flatten=True) + control = np.array([(1, 'A', 1.), (2, 'B', 2.)], + dtype=[('f0', int), ('A', '|S3'), ('B', float)]) + assert_equal(test, control) + + test = merge_arrays((x, z), flatten=False) + control = np.array([(1, ('A', 1.)), (2, ('B', 2.))], + dtype=[('f0', int), + ('f1', [('A', '|S3'), ('B', float)])]) + assert_equal(test, control) + + def test_flatten_wflexible(self): + # Test flatten standard & nested + (w, x, _, _) = self.data + test = merge_arrays((x, w), flatten=True) + control = np.array([(1, 1, 2, 3.0), (2, 4, 5, 6.0)], + dtype=[('f0', int), + ('a', int), ('ba', float), ('bb', int)]) + assert_equal(test, control) + + test = merge_arrays((x, w), flatten=False) + controldtype = [('f0', int), + ('f1', [('a', int), + ('b', [('ba', float), ('bb', int), ('bc', [])])])] + control = np.array([(1., (1, (2, 3.0, ()))), (2, (4, (5, 6.0, ())))], + dtype=controldtype) + assert_equal(test, control) + + def test_wmasked_arrays(self): + # Test merge_arrays masked arrays + (_, x, _, _) = self.data + mx = ma.array([1, 2, 3], mask=[1, 0, 0]) + test = merge_arrays((x, mx), usemask=True) + control = ma.array([(1, 1), (2, 2), (-1, 3)], + mask=[(0, 1), (0, 0), (1, 0)], + dtype=[('f0', int), ('f1', int)]) + assert_equal(test, control) + test = merge_arrays((x, mx), usemask=True, asrecarray=True) + assert_equal(test, control) + assert_(isinstance(test, MaskedRecords)) + + def test_w_singlefield(self): + # Test single field + test = merge_arrays((np.array([1, 2]).view([('a', int)]), + np.array([10., 20., 30.])),) + control = ma.array([(1, 10.), (2, 20.), (-1, 30.)], + mask=[(0, 0), (0, 0), (1, 0)], + dtype=[('a', int), ('f1', float)]) + assert_equal(test, control) + + def test_w_shorter_flex(self): + # Test merge_arrays w/ a shorter flexndarray. + z = self.data[-1] + + # Fixme, this test looks incomplete and broken + #test = merge_arrays((z, np.array([10, 20, 30]).view([('C', int)]))) + #control = np.array([('A', 1., 10), ('B', 2., 20), ('-1', -1, 20)], + # dtype=[('A', '|S3'), ('B', float), ('C', int)]) + #assert_equal(test, control) + + # Hack to avoid pyflakes warnings about unused variables + merge_arrays((z, np.array([10, 20, 30]).view([('C', int)]))) + np.array([('A', 1., 10), ('B', 2., 20), ('-1', -1, 20)], + dtype=[('A', '|S3'), ('B', float), ('C', int)]) + + def test_singlerecord(self): + (_, x, y, z) = self.data + test = merge_arrays((x[0], y[0], z[0]), usemask=False) + control = np.array([(1, 10, ('A', 1))], + dtype=[('f0', int), + ('f1', int), + ('f2', [('A', '|S3'), ('B', float)])]) + assert_equal(test, control) + + +class TestAppendFields: + # Test append_fields + + def setup_method(self): + x = np.array([1, 2, ]) + y = np.array([10, 20, 30]) + z = np.array( + [('A', 1.), ('B', 2.)], dtype=[('A', '|S3'), ('B', float)]) + w = np.array([(1, (2, 3.0)), (4, (5, 6.0))], + dtype=[('a', int), ('b', [('ba', float), ('bb', int)])]) + self.data = (w, x, y, z) + + def test_append_single(self): + # Test simple case + (_, x, _, _) = self.data + test = append_fields(x, 'A', data=[10, 20, 30]) + control = ma.array([(1, 10), (2, 20), (-1, 30)], + mask=[(0, 0), (0, 0), (1, 0)], + dtype=[('f0', int), ('A', int)],) + assert_equal(test, control) + + def test_append_double(self): + # Test simple case + (_, x, _, _) = self.data + test = append_fields(x, ('A', 'B'), data=[[10, 20, 30], [100, 200]]) + control = ma.array([(1, 10, 100), (2, 20, 200), (-1, 30, -1)], + mask=[(0, 0, 0), (0, 0, 0), (1, 0, 1)], + dtype=[('f0', int), ('A', int), ('B', int)],) + assert_equal(test, control) + + def test_append_on_flex(self): + # Test append_fields on flexible type arrays + z = self.data[-1] + test = append_fields(z, 'C', data=[10, 20, 30]) + control = ma.array([('A', 1., 10), ('B', 2., 20), (-1, -1., 30)], + mask=[(0, 0, 0), (0, 0, 0), (1, 1, 0)], + dtype=[('A', '|S3'), ('B', float), ('C', int)],) + assert_equal(test, control) + + def test_append_on_nested(self): + # Test append_fields on nested fields + w = self.data[0] + test = append_fields(w, 'C', data=[10, 20, 30]) + control = ma.array([(1, (2, 3.0), 10), + (4, (5, 6.0), 20), + (-1, (-1, -1.), 30)], + mask=[( + 0, (0, 0), 0), (0, (0, 0), 0), (1, (1, 1), 0)], + dtype=[('a', int), + ('b', [('ba', float), ('bb', int)]), + ('C', int)],) + assert_equal(test, control) + + +class TestStackArrays: + # Test stack_arrays + def setup_method(self): + x = np.array([1, 2, ]) + y = np.array([10, 20, 30]) + z = np.array( + [('A', 1.), ('B', 2.)], dtype=[('A', '|S3'), ('B', float)]) + w = np.array([(1, (2, 3.0)), (4, (5, 6.0))], + dtype=[('a', int), ('b', [('ba', float), ('bb', int)])]) + self.data = (w, x, y, z) + + def test_solo(self): + # Test stack_arrays on single arrays + (_, x, _, _) = self.data + test = stack_arrays((x,)) + assert_equal(test, x) + assert_(test is x) + + test = stack_arrays(x) + assert_equal(test, x) + assert_(test is x) + + def test_unnamed_fields(self): + # Tests combinations of arrays w/o named fields + (_, x, y, _) = self.data + + test = stack_arrays((x, x), usemask=False) + control = np.array([1, 2, 1, 2]) + assert_equal(test, control) + + test = stack_arrays((x, y), usemask=False) + control = np.array([1, 2, 10, 20, 30]) + assert_equal(test, control) + + test = stack_arrays((y, x), usemask=False) + control = np.array([10, 20, 30, 1, 2]) + assert_equal(test, control) + + def test_unnamed_and_named_fields(self): + # Test combination of arrays w/ & w/o named fields + (_, x, _, z) = self.data + + test = stack_arrays((x, z)) + control = ma.array([(1, -1, -1), (2, -1, -1), + (-1, 'A', 1), (-1, 'B', 2)], + mask=[(0, 1, 1), (0, 1, 1), + (1, 0, 0), (1, 0, 0)], + dtype=[('f0', int), ('A', '|S3'), ('B', float)]) + assert_equal(test, control) + assert_equal(test.mask, control.mask) + + test = stack_arrays((z, x)) + control = ma.array([('A', 1, -1), ('B', 2, -1), + (-1, -1, 1), (-1, -1, 2), ], + mask=[(0, 0, 1), (0, 0, 1), + (1, 1, 0), (1, 1, 0)], + dtype=[('A', '|S3'), ('B', float), ('f2', int)]) + assert_equal(test, control) + assert_equal(test.mask, control.mask) + + test = stack_arrays((z, z, x)) + control = ma.array([('A', 1, -1), ('B', 2, -1), + ('A', 1, -1), ('B', 2, -1), + (-1, -1, 1), (-1, -1, 2), ], + mask=[(0, 0, 1), (0, 0, 1), + (0, 0, 1), (0, 0, 1), + (1, 1, 0), (1, 1, 0)], + dtype=[('A', '|S3'), ('B', float), ('f2', int)]) + assert_equal(test, control) + + def test_matching_named_fields(self): + # Test combination of arrays w/ matching field names + (_, x, _, z) = self.data + zz = np.array([('a', 10., 100.), ('b', 20., 200.), ('c', 30., 300.)], + dtype=[('A', '|S3'), ('B', float), ('C', float)]) + test = stack_arrays((z, zz)) + control = ma.array([('A', 1, -1), ('B', 2, -1), + ( + 'a', 10., 100.), ('b', 20., 200.), ('c', 30., 300.)], + dtype=[('A', '|S3'), ('B', float), ('C', float)], + mask=[(0, 0, 1), (0, 0, 1), + (0, 0, 0), (0, 0, 0), (0, 0, 0)]) + assert_equal(test, control) + assert_equal(test.mask, control.mask) + + test = stack_arrays((z, zz, x)) + ndtype = [('A', '|S3'), ('B', float), ('C', float), ('f3', int)] + control = ma.array([('A', 1, -1, -1), ('B', 2, -1, -1), + ('a', 10., 100., -1), ('b', 20., 200., -1), + ('c', 30., 300., -1), + (-1, -1, -1, 1), (-1, -1, -1, 2)], + dtype=ndtype, + mask=[(0, 0, 1, 1), (0, 0, 1, 1), + (0, 0, 0, 1), (0, 0, 0, 1), (0, 0, 0, 1), + (1, 1, 1, 0), (1, 1, 1, 0)]) + assert_equal(test, control) + assert_equal(test.mask, control.mask) + + def test_defaults(self): + # Test defaults: no exception raised if keys of defaults are not fields. + (_, _, _, z) = self.data + zz = np.array([('a', 10., 100.), ('b', 20., 200.), ('c', 30., 300.)], + dtype=[('A', '|S3'), ('B', float), ('C', float)]) + defaults = {'A': '???', 'B': -999., 'C': -9999., 'D': -99999.} + test = stack_arrays((z, zz), defaults=defaults) + control = ma.array([('A', 1, -9999.), ('B', 2, -9999.), + ( + 'a', 10., 100.), ('b', 20., 200.), ('c', 30., 300.)], + dtype=[('A', '|S3'), ('B', float), ('C', float)], + mask=[(0, 0, 1), (0, 0, 1), + (0, 0, 0), (0, 0, 0), (0, 0, 0)]) + assert_equal(test, control) + assert_equal(test.data, control.data) + assert_equal(test.mask, control.mask) + + def test_autoconversion(self): + # Tests autoconversion + adtype = [('A', int), ('B', bool), ('C', float)] + a = ma.array([(1, 2, 3)], mask=[(0, 1, 0)], dtype=adtype) + bdtype = [('A', int), ('B', float), ('C', float)] + b = ma.array([(4, 5, 6)], dtype=bdtype) + control = ma.array([(1, 2, 3), (4, 5, 6)], mask=[(0, 1, 0), (0, 0, 0)], + dtype=bdtype) + test = stack_arrays((a, b), autoconvert=True) + assert_equal(test, control) + assert_equal(test.mask, control.mask) + with assert_raises(TypeError): + stack_arrays((a, b), autoconvert=False) + + def test_checktitles(self): + # Test using titles in the field names + adtype = [(('a', 'A'), int), (('b', 'B'), bool), (('c', 'C'), float)] + a = ma.array([(1, 2, 3)], mask=[(0, 1, 0)], dtype=adtype) + bdtype = [(('a', 'A'), int), (('b', 'B'), bool), (('c', 'C'), float)] + b = ma.array([(4, 5, 6)], dtype=bdtype) + test = stack_arrays((a, b)) + control = ma.array([(1, 2, 3), (4, 5, 6)], mask=[(0, 1, 0), (0, 0, 0)], + dtype=bdtype) + assert_equal(test, control) + assert_equal(test.mask, control.mask) + + def test_subdtype(self): + z = np.array([ + ('A', 1), ('B', 2) + ], dtype=[('A', '|S3'), ('B', float, (1,))]) + zz = np.array([ + ('a', [10.], 100.), ('b', [20.], 200.), ('c', [30.], 300.) + ], dtype=[('A', '|S3'), ('B', float, (1,)), ('C', float)]) + + res = stack_arrays((z, zz)) + expected = ma.array( + data=[ + (b'A', [1.0], 0), + (b'B', [2.0], 0), + (b'a', [10.0], 100.0), + (b'b', [20.0], 200.0), + (b'c', [30.0], 300.0)], + mask=[ + (False, [False], True), + (False, [False], True), + (False, [False], False), + (False, [False], False), + (False, [False], False) + ], + dtype=zz.dtype + ) + assert_equal(res.dtype, expected.dtype) + assert_equal(res, expected) + assert_equal(res.mask, expected.mask) + + +class TestJoinBy: + def setup_method(self): + self.a = np.array(list(zip(np.arange(10), np.arange(50, 60), + np.arange(100, 110))), + dtype=[('a', int), ('b', int), ('c', int)]) + self.b = np.array(list(zip(np.arange(5, 15), np.arange(65, 75), + np.arange(100, 110))), + dtype=[('a', int), ('b', int), ('d', int)]) + + def test_inner_join(self): + # Basic test of join_by + a, b = self.a, self.b + + test = join_by('a', a, b, jointype='inner') + control = np.array([(5, 55, 65, 105, 100), (6, 56, 66, 106, 101), + (7, 57, 67, 107, 102), (8, 58, 68, 108, 103), + (9, 59, 69, 109, 104)], + dtype=[('a', int), ('b1', int), ('b2', int), + ('c', int), ('d', int)]) + assert_equal(test, control) + + def test_join(self): + a, b = self.a, self.b + + # Fixme, this test is broken + #test = join_by(('a', 'b'), a, b) + #control = np.array([(5, 55, 105, 100), (6, 56, 106, 101), + # (7, 57, 107, 102), (8, 58, 108, 103), + # (9, 59, 109, 104)], + # dtype=[('a', int), ('b', int), + # ('c', int), ('d', int)]) + #assert_equal(test, control) + + # Hack to avoid pyflakes unused variable warnings + join_by(('a', 'b'), a, b) + np.array([(5, 55, 105, 100), (6, 56, 106, 101), + (7, 57, 107, 102), (8, 58, 108, 103), + (9, 59, 109, 104)], + dtype=[('a', int), ('b', int), + ('c', int), ('d', int)]) + + def test_join_subdtype(self): + # tests the bug in https://stackoverflow.com/q/44769632/102441 + foo = np.array([(1,)], + dtype=[('key', int)]) + bar = np.array([(1, np.array([1,2,3]))], + dtype=[('key', int), ('value', 'uint16', 3)]) + res = join_by('key', foo, bar) + assert_equal(res, bar.view(ma.MaskedArray)) + + def test_outer_join(self): + a, b = self.a, self.b + + test = join_by(('a', 'b'), a, b, 'outer') + control = ma.array([(0, 50, 100, -1), (1, 51, 101, -1), + (2, 52, 102, -1), (3, 53, 103, -1), + (4, 54, 104, -1), (5, 55, 105, -1), + (5, 65, -1, 100), (6, 56, 106, -1), + (6, 66, -1, 101), (7, 57, 107, -1), + (7, 67, -1, 102), (8, 58, 108, -1), + (8, 68, -1, 103), (9, 59, 109, -1), + (9, 69, -1, 104), (10, 70, -1, 105), + (11, 71, -1, 106), (12, 72, -1, 107), + (13, 73, -1, 108), (14, 74, -1, 109)], + mask=[(0, 0, 0, 1), (0, 0, 0, 1), + (0, 0, 0, 1), (0, 0, 0, 1), + (0, 0, 0, 1), (0, 0, 0, 1), + (0, 0, 1, 0), (0, 0, 0, 1), + (0, 0, 1, 0), (0, 0, 0, 1), + (0, 0, 1, 0), (0, 0, 0, 1), + (0, 0, 1, 0), (0, 0, 0, 1), + (0, 0, 1, 0), (0, 0, 1, 0), + (0, 0, 1, 0), (0, 0, 1, 0), + (0, 0, 1, 0), (0, 0, 1, 0)], + dtype=[('a', int), ('b', int), + ('c', int), ('d', int)]) + assert_equal(test, control) + + def test_leftouter_join(self): + a, b = self.a, self.b + + test = join_by(('a', 'b'), a, b, 'leftouter') + control = ma.array([(0, 50, 100, -1), (1, 51, 101, -1), + (2, 52, 102, -1), (3, 53, 103, -1), + (4, 54, 104, -1), (5, 55, 105, -1), + (6, 56, 106, -1), (7, 57, 107, -1), + (8, 58, 108, -1), (9, 59, 109, -1)], + mask=[(0, 0, 0, 1), (0, 0, 0, 1), + (0, 0, 0, 1), (0, 0, 0, 1), + (0, 0, 0, 1), (0, 0, 0, 1), + (0, 0, 0, 1), (0, 0, 0, 1), + (0, 0, 0, 1), (0, 0, 0, 1)], + dtype=[('a', int), ('b', int), ('c', int), ('d', int)]) + assert_equal(test, control) + + def test_different_field_order(self): + # gh-8940 + a = np.zeros(3, dtype=[('a', 'i4'), ('b', 'f4'), ('c', 'u1')]) + b = np.ones(3, dtype=[('c', 'u1'), ('b', 'f4'), ('a', 'i4')]) + # this should not give a FutureWarning: + j = join_by(['c', 'b'], a, b, jointype='inner', usemask=False) + assert_equal(j.dtype.names, ['b', 'c', 'a1', 'a2']) + + def test_duplicate_keys(self): + a = np.zeros(3, dtype=[('a', 'i4'), ('b', 'f4'), ('c', 'u1')]) + b = np.ones(3, dtype=[('c', 'u1'), ('b', 'f4'), ('a', 'i4')]) + assert_raises(ValueError, join_by, ['a', 'b', 'b'], a, b) + + def test_same_name_different_dtypes_key(self): + a_dtype = np.dtype([('key', 'S5'), ('value', ' 2**32 + + +def _add_keepdims(func): + """ hack in keepdims behavior into a function taking an axis """ + @functools.wraps(func) + def wrapped(a, axis, **kwargs): + res = func(a, axis=axis, **kwargs) + if axis is None: + axis = 0 # res is now a scalar, so we can insert this anywhere + return np.expand_dims(res, axis=axis) + return wrapped + + +class TestTakeAlongAxis: + def test_argequivalent(self): + """ Test it translates from arg to """ + from numpy.random import rand + a = rand(3, 4, 5) + + funcs = [ + (np.sort, np.argsort, dict()), + (_add_keepdims(np.min), _add_keepdims(np.argmin), dict()), + (_add_keepdims(np.max), _add_keepdims(np.argmax), dict()), + (np.partition, np.argpartition, dict(kth=2)), + ] + + for func, argfunc, kwargs in funcs: + for axis in list(range(a.ndim)) + [None]: + a_func = func(a, axis=axis, **kwargs) + ai_func = argfunc(a, axis=axis, **kwargs) + assert_equal(a_func, take_along_axis(a, ai_func, axis=axis)) + + def test_invalid(self): + """ Test it errors when indices has too few dimensions """ + a = np.ones((10, 10)) + ai = np.ones((10, 2), dtype=np.intp) + + # sanity check + take_along_axis(a, ai, axis=1) + + # not enough indices + assert_raises(ValueError, take_along_axis, a, np.array(1), axis=1) + # bool arrays not allowed + assert_raises(IndexError, take_along_axis, a, ai.astype(bool), axis=1) + # float arrays not allowed + assert_raises(IndexError, take_along_axis, a, ai.astype(float), axis=1) + # invalid axis + assert_raises(np.AxisError, take_along_axis, a, ai, axis=10) + + def test_empty(self): + """ Test everything is ok with empty results, even with inserted dims """ + a = np.ones((3, 4, 5)) + ai = np.ones((3, 0, 5), dtype=np.intp) + + actual = take_along_axis(a, ai, axis=1) + assert_equal(actual.shape, ai.shape) + + def test_broadcast(self): + """ Test that non-indexing dimensions are broadcast in both directions """ + a = np.ones((3, 4, 1)) + ai = np.ones((1, 2, 5), dtype=np.intp) + actual = take_along_axis(a, ai, axis=1) + assert_equal(actual.shape, (3, 2, 5)) + + +class TestPutAlongAxis: + def test_replace_max(self): + a_base = np.array([[10, 30, 20], [60, 40, 50]]) + + for axis in list(range(a_base.ndim)) + [None]: + # we mutate this in the loop + a = a_base.copy() + + # replace the max with a small value + i_max = _add_keepdims(np.argmax)(a, axis=axis) + put_along_axis(a, i_max, -99, axis=axis) + + # find the new minimum, which should max + i_min = _add_keepdims(np.argmin)(a, axis=axis) + + assert_equal(i_min, i_max) + + def test_broadcast(self): + """ Test that non-indexing dimensions are broadcast in both directions """ + a = np.ones((3, 4, 1)) + ai = np.arange(10, dtype=np.intp).reshape((1, 2, 5)) % 4 + put_along_axis(a, ai, 20, axis=1) + assert_equal(take_along_axis(a, ai, axis=1), 20) + + +class TestApplyAlongAxis: + def test_simple(self): + a = np.ones((20, 10), 'd') + assert_array_equal( + apply_along_axis(len, 0, a), len(a)*np.ones(a.shape[1])) + + def test_simple101(self): + a = np.ones((10, 101), 'd') + assert_array_equal( + apply_along_axis(len, 0, a), len(a)*np.ones(a.shape[1])) + + def test_3d(self): + a = np.arange(27).reshape((3, 3, 3)) + assert_array_equal(apply_along_axis(np.sum, 0, a), + [[27, 30, 33], [36, 39, 42], [45, 48, 51]]) + + def test_preserve_subclass(self): + def double(row): + return row * 2 + + class MyNDArray(np.ndarray): + pass + + m = np.array([[0, 1], [2, 3]]).view(MyNDArray) + expected = np.array([[0, 2], [4, 6]]).view(MyNDArray) + + result = apply_along_axis(double, 0, m) + assert_(isinstance(result, MyNDArray)) + assert_array_equal(result, expected) + + result = apply_along_axis(double, 1, m) + assert_(isinstance(result, MyNDArray)) + assert_array_equal(result, expected) + + def test_subclass(self): + class MinimalSubclass(np.ndarray): + data = 1 + + def minimal_function(array): + return array.data + + a = np.zeros((6, 3)).view(MinimalSubclass) + + assert_array_equal( + apply_along_axis(minimal_function, 0, a), np.array([1, 1, 1]) + ) + + def test_scalar_array(self, cls=np.ndarray): + a = np.ones((6, 3)).view(cls) + res = apply_along_axis(np.sum, 0, a) + assert_(isinstance(res, cls)) + assert_array_equal(res, np.array([6, 6, 6]).view(cls)) + + def test_0d_array(self, cls=np.ndarray): + def sum_to_0d(x): + """ Sum x, returning a 0d array of the same class """ + assert_equal(x.ndim, 1) + return np.squeeze(np.sum(x, keepdims=True)) + a = np.ones((6, 3)).view(cls) + res = apply_along_axis(sum_to_0d, 0, a) + assert_(isinstance(res, cls)) + assert_array_equal(res, np.array([6, 6, 6]).view(cls)) + + res = apply_along_axis(sum_to_0d, 1, a) + assert_(isinstance(res, cls)) + assert_array_equal(res, np.array([3, 3, 3, 3, 3, 3]).view(cls)) + + def test_axis_insertion(self, cls=np.ndarray): + def f1to2(x): + """produces an asymmetric non-square matrix from x""" + assert_equal(x.ndim, 1) + return (x[::-1] * x[1:,None]).view(cls) + + a2d = np.arange(6*3).reshape((6, 3)) + + # 2d insertion along first axis + actual = apply_along_axis(f1to2, 0, a2d) + expected = np.stack([ + f1to2(a2d[:,i]) for i in range(a2d.shape[1]) + ], axis=-1).view(cls) + assert_equal(type(actual), type(expected)) + assert_equal(actual, expected) + + # 2d insertion along last axis + actual = apply_along_axis(f1to2, 1, a2d) + expected = np.stack([ + f1to2(a2d[i,:]) for i in range(a2d.shape[0]) + ], axis=0).view(cls) + assert_equal(type(actual), type(expected)) + assert_equal(actual, expected) + + # 3d insertion along middle axis + a3d = np.arange(6*5*3).reshape((6, 5, 3)) + + actual = apply_along_axis(f1to2, 1, a3d) + expected = np.stack([ + np.stack([ + f1to2(a3d[i,:,j]) for i in range(a3d.shape[0]) + ], axis=0) + for j in range(a3d.shape[2]) + ], axis=-1).view(cls) + assert_equal(type(actual), type(expected)) + assert_equal(actual, expected) + + def test_subclass_preservation(self): + class MinimalSubclass(np.ndarray): + pass + self.test_scalar_array(MinimalSubclass) + self.test_0d_array(MinimalSubclass) + self.test_axis_insertion(MinimalSubclass) + + def test_axis_insertion_ma(self): + def f1to2(x): + """produces an asymmetric non-square matrix from x""" + assert_equal(x.ndim, 1) + res = x[::-1] * x[1:,None] + return np.ma.masked_where(res%5==0, res) + a = np.arange(6*3).reshape((6, 3)) + res = apply_along_axis(f1to2, 0, a) + assert_(isinstance(res, np.ma.masked_array)) + assert_equal(res.ndim, 3) + assert_array_equal(res[:,:,0].mask, f1to2(a[:,0]).mask) + assert_array_equal(res[:,:,1].mask, f1to2(a[:,1]).mask) + assert_array_equal(res[:,:,2].mask, f1to2(a[:,2]).mask) + + def test_tuple_func1d(self): + def sample_1d(x): + return x[1], x[0] + res = np.apply_along_axis(sample_1d, 1, np.array([[1, 2], [3, 4]])) + assert_array_equal(res, np.array([[2, 1], [4, 3]])) + + def test_empty(self): + # can't apply_along_axis when there's no chance to call the function + def never_call(x): + assert_(False) # should never be reached + + a = np.empty((0, 0)) + assert_raises(ValueError, np.apply_along_axis, never_call, 0, a) + assert_raises(ValueError, np.apply_along_axis, never_call, 1, a) + + # but it's sometimes ok with some non-zero dimensions + def empty_to_1(x): + assert_(len(x) == 0) + return 1 + + a = np.empty((10, 0)) + actual = np.apply_along_axis(empty_to_1, 1, a) + assert_equal(actual, np.ones(10)) + assert_raises(ValueError, np.apply_along_axis, empty_to_1, 0, a) + + def test_with_iterable_object(self): + # from issue 5248 + d = np.array([ + [{1, 11}, {2, 22}, {3, 33}], + [{4, 44}, {5, 55}, {6, 66}] + ]) + actual = np.apply_along_axis(lambda a: set.union(*a), 0, d) + expected = np.array([{1, 11, 4, 44}, {2, 22, 5, 55}, {3, 33, 6, 66}]) + + assert_equal(actual, expected) + + # issue 8642 - assert_equal doesn't detect this! + for i in np.ndindex(actual.shape): + assert_equal(type(actual[i]), type(expected[i])) + + +class TestApplyOverAxes: + def test_simple(self): + a = np.arange(24).reshape(2, 3, 4) + aoa_a = apply_over_axes(np.sum, a, [0, 2]) + assert_array_equal(aoa_a, np.array([[[60], [92], [124]]])) + + +class TestExpandDims: + def test_functionality(self): + s = (2, 3, 4, 5) + a = np.empty(s) + for axis in range(-5, 4): + b = expand_dims(a, axis) + assert_(b.shape[axis] == 1) + assert_(np.squeeze(b).shape == s) + + def test_axis_tuple(self): + a = np.empty((3, 3, 3)) + assert np.expand_dims(a, axis=(0, 1, 2)).shape == (1, 1, 1, 3, 3, 3) + assert np.expand_dims(a, axis=(0, -1, -2)).shape == (1, 3, 3, 3, 1, 1) + assert np.expand_dims(a, axis=(0, 3, 5)).shape == (1, 3, 3, 1, 3, 1) + assert np.expand_dims(a, axis=(0, -3, -5)).shape == (1, 1, 3, 1, 3, 3) + + def test_axis_out_of_range(self): + s = (2, 3, 4, 5) + a = np.empty(s) + assert_raises(np.AxisError, expand_dims, a, -6) + assert_raises(np.AxisError, expand_dims, a, 5) + + a = np.empty((3, 3, 3)) + assert_raises(np.AxisError, expand_dims, a, (0, -6)) + assert_raises(np.AxisError, expand_dims, a, (0, 5)) + + def test_repeated_axis(self): + a = np.empty((3, 3, 3)) + assert_raises(ValueError, expand_dims, a, axis=(1, 1)) + + def test_subclasses(self): + a = np.arange(10).reshape((2, 5)) + a = np.ma.array(a, mask=a%3 == 0) + + expanded = np.expand_dims(a, axis=1) + assert_(isinstance(expanded, np.ma.MaskedArray)) + assert_equal(expanded.shape, (2, 1, 5)) + assert_equal(expanded.mask.shape, (2, 1, 5)) + + +class TestArraySplit: + def test_integer_0_split(self): + a = np.arange(10) + assert_raises(ValueError, array_split, a, 0) + + def test_integer_split(self): + a = np.arange(10) + res = array_split(a, 1) + desired = [np.arange(10)] + compare_results(res, desired) + + res = array_split(a, 2) + desired = [np.arange(5), np.arange(5, 10)] + compare_results(res, desired) + + res = array_split(a, 3) + desired = [np.arange(4), np.arange(4, 7), np.arange(7, 10)] + compare_results(res, desired) + + res = array_split(a, 4) + desired = [np.arange(3), np.arange(3, 6), np.arange(6, 8), + np.arange(8, 10)] + compare_results(res, desired) + + res = array_split(a, 5) + desired = [np.arange(2), np.arange(2, 4), np.arange(4, 6), + np.arange(6, 8), np.arange(8, 10)] + compare_results(res, desired) + + res = array_split(a, 6) + desired = [np.arange(2), np.arange(2, 4), np.arange(4, 6), + np.arange(6, 8), np.arange(8, 9), np.arange(9, 10)] + compare_results(res, desired) + + res = array_split(a, 7) + desired = [np.arange(2), np.arange(2, 4), np.arange(4, 6), + np.arange(6, 7), np.arange(7, 8), np.arange(8, 9), + np.arange(9, 10)] + compare_results(res, desired) + + res = array_split(a, 8) + desired = [np.arange(2), np.arange(2, 4), np.arange(4, 5), + np.arange(5, 6), np.arange(6, 7), np.arange(7, 8), + np.arange(8, 9), np.arange(9, 10)] + compare_results(res, desired) + + res = array_split(a, 9) + desired = [np.arange(2), np.arange(2, 3), np.arange(3, 4), + np.arange(4, 5), np.arange(5, 6), np.arange(6, 7), + np.arange(7, 8), np.arange(8, 9), np.arange(9, 10)] + compare_results(res, desired) + + res = array_split(a, 10) + desired = [np.arange(1), np.arange(1, 2), np.arange(2, 3), + np.arange(3, 4), np.arange(4, 5), np.arange(5, 6), + np.arange(6, 7), np.arange(7, 8), np.arange(8, 9), + np.arange(9, 10)] + compare_results(res, desired) + + res = array_split(a, 11) + desired = [np.arange(1), np.arange(1, 2), np.arange(2, 3), + np.arange(3, 4), np.arange(4, 5), np.arange(5, 6), + np.arange(6, 7), np.arange(7, 8), np.arange(8, 9), + np.arange(9, 10), np.array([])] + compare_results(res, desired) + + def test_integer_split_2D_rows(self): + a = np.array([np.arange(10), np.arange(10)]) + res = array_split(a, 3, axis=0) + tgt = [np.array([np.arange(10)]), np.array([np.arange(10)]), + np.zeros((0, 10))] + compare_results(res, tgt) + assert_(a.dtype.type is res[-1].dtype.type) + + # Same thing for manual splits: + res = array_split(a, [0, 1], axis=0) + tgt = [np.zeros((0, 10)), np.array([np.arange(10)]), + np.array([np.arange(10)])] + compare_results(res, tgt) + assert_(a.dtype.type is res[-1].dtype.type) + + def test_integer_split_2D_cols(self): + a = np.array([np.arange(10), np.arange(10)]) + res = array_split(a, 3, axis=-1) + desired = [np.array([np.arange(4), np.arange(4)]), + np.array([np.arange(4, 7), np.arange(4, 7)]), + np.array([np.arange(7, 10), np.arange(7, 10)])] + compare_results(res, desired) + + def test_integer_split_2D_default(self): + """ This will fail if we change default axis + """ + a = np.array([np.arange(10), np.arange(10)]) + res = array_split(a, 3) + tgt = [np.array([np.arange(10)]), np.array([np.arange(10)]), + np.zeros((0, 10))] + compare_results(res, tgt) + assert_(a.dtype.type is res[-1].dtype.type) + # perhaps should check higher dimensions + + @pytest.mark.skipif(not IS_64BIT, reason="Needs 64bit platform") + def test_integer_split_2D_rows_greater_max_int32(self): + a = np.broadcast_to([0], (1 << 32, 2)) + res = array_split(a, 4) + chunk = np.broadcast_to([0], (1 << 30, 2)) + tgt = [chunk] * 4 + for i in range(len(tgt)): + assert_equal(res[i].shape, tgt[i].shape) + + def test_index_split_simple(self): + a = np.arange(10) + indices = [1, 5, 7] + res = array_split(a, indices, axis=-1) + desired = [np.arange(0, 1), np.arange(1, 5), np.arange(5, 7), + np.arange(7, 10)] + compare_results(res, desired) + + def test_index_split_low_bound(self): + a = np.arange(10) + indices = [0, 5, 7] + res = array_split(a, indices, axis=-1) + desired = [np.array([]), np.arange(0, 5), np.arange(5, 7), + np.arange(7, 10)] + compare_results(res, desired) + + def test_index_split_high_bound(self): + a = np.arange(10) + indices = [0, 5, 7, 10, 12] + res = array_split(a, indices, axis=-1) + desired = [np.array([]), np.arange(0, 5), np.arange(5, 7), + np.arange(7, 10), np.array([]), np.array([])] + compare_results(res, desired) + + +class TestSplit: + # The split function is essentially the same as array_split, + # except that it test if splitting will result in an + # equal split. Only test for this case. + + def test_equal_split(self): + a = np.arange(10) + res = split(a, 2) + desired = [np.arange(5), np.arange(5, 10)] + compare_results(res, desired) + + def test_unequal_split(self): + a = np.arange(10) + assert_raises(ValueError, split, a, 3) + + +class TestColumnStack: + def test_non_iterable(self): + assert_raises(TypeError, column_stack, 1) + + def test_1D_arrays(self): + # example from docstring + a = np.array((1, 2, 3)) + b = np.array((2, 3, 4)) + expected = np.array([[1, 2], + [2, 3], + [3, 4]]) + actual = np.column_stack((a, b)) + assert_equal(actual, expected) + + def test_2D_arrays(self): + # same as hstack 2D docstring example + a = np.array([[1], [2], [3]]) + b = np.array([[2], [3], [4]]) + expected = np.array([[1, 2], + [2, 3], + [3, 4]]) + actual = np.column_stack((a, b)) + assert_equal(actual, expected) + + def test_generator(self): + with pytest.raises(TypeError, match="arrays to stack must be"): + column_stack((np.arange(3) for _ in range(2))) + + +class TestDstack: + def test_non_iterable(self): + assert_raises(TypeError, dstack, 1) + + def test_0D_array(self): + a = np.array(1) + b = np.array(2) + res = dstack([a, b]) + desired = np.array([[[1, 2]]]) + assert_array_equal(res, desired) + + def test_1D_array(self): + a = np.array([1]) + b = np.array([2]) + res = dstack([a, b]) + desired = np.array([[[1, 2]]]) + assert_array_equal(res, desired) + + def test_2D_array(self): + a = np.array([[1], [2]]) + b = np.array([[1], [2]]) + res = dstack([a, b]) + desired = np.array([[[1, 1]], [[2, 2, ]]]) + assert_array_equal(res, desired) + + def test_2D_array2(self): + a = np.array([1, 2]) + b = np.array([1, 2]) + res = dstack([a, b]) + desired = np.array([[[1, 1], [2, 2]]]) + assert_array_equal(res, desired) + + def test_generator(self): + with pytest.raises(TypeError, match="arrays to stack must be"): + dstack((np.arange(3) for _ in range(2))) + + +# array_split has more comprehensive test of splitting. +# only do simple test on hsplit, vsplit, and dsplit +class TestHsplit: + """Only testing for integer splits. + + """ + def test_non_iterable(self): + assert_raises(ValueError, hsplit, 1, 1) + + def test_0D_array(self): + a = np.array(1) + try: + hsplit(a, 2) + assert_(0) + except ValueError: + pass + + def test_1D_array(self): + a = np.array([1, 2, 3, 4]) + res = hsplit(a, 2) + desired = [np.array([1, 2]), np.array([3, 4])] + compare_results(res, desired) + + def test_2D_array(self): + a = np.array([[1, 2, 3, 4], + [1, 2, 3, 4]]) + res = hsplit(a, 2) + desired = [np.array([[1, 2], [1, 2]]), np.array([[3, 4], [3, 4]])] + compare_results(res, desired) + + +class TestVsplit: + """Only testing for integer splits. + + """ + def test_non_iterable(self): + assert_raises(ValueError, vsplit, 1, 1) + + def test_0D_array(self): + a = np.array(1) + assert_raises(ValueError, vsplit, a, 2) + + def test_1D_array(self): + a = np.array([1, 2, 3, 4]) + try: + vsplit(a, 2) + assert_(0) + except ValueError: + pass + + def test_2D_array(self): + a = np.array([[1, 2, 3, 4], + [1, 2, 3, 4]]) + res = vsplit(a, 2) + desired = [np.array([[1, 2, 3, 4]]), np.array([[1, 2, 3, 4]])] + compare_results(res, desired) + + +class TestDsplit: + # Only testing for integer splits. + def test_non_iterable(self): + assert_raises(ValueError, dsplit, 1, 1) + + def test_0D_array(self): + a = np.array(1) + assert_raises(ValueError, dsplit, a, 2) + + def test_1D_array(self): + a = np.array([1, 2, 3, 4]) + assert_raises(ValueError, dsplit, a, 2) + + def test_2D_array(self): + a = np.array([[1, 2, 3, 4], + [1, 2, 3, 4]]) + try: + dsplit(a, 2) + assert_(0) + except ValueError: + pass + + def test_3D_array(self): + a = np.array([[[1, 2, 3, 4], + [1, 2, 3, 4]], + [[1, 2, 3, 4], + [1, 2, 3, 4]]]) + res = dsplit(a, 2) + desired = [np.array([[[1, 2], [1, 2]], [[1, 2], [1, 2]]]), + np.array([[[3, 4], [3, 4]], [[3, 4], [3, 4]]])] + compare_results(res, desired) + + +class TestSqueeze: + def test_basic(self): + from numpy.random import rand + + a = rand(20, 10, 10, 1, 1) + b = rand(20, 1, 10, 1, 20) + c = rand(1, 1, 20, 10) + assert_array_equal(np.squeeze(a), np.reshape(a, (20, 10, 10))) + assert_array_equal(np.squeeze(b), np.reshape(b, (20, 10, 20))) + assert_array_equal(np.squeeze(c), np.reshape(c, (20, 10))) + + # Squeezing to 0-dim should still give an ndarray + a = [[[1.5]]] + res = np.squeeze(a) + assert_equal(res, 1.5) + assert_equal(res.ndim, 0) + assert_equal(type(res), np.ndarray) + + +class TestKron: + def test_basic(self): + # Using 0-dimensional ndarray + a = np.array(1) + b = np.array([[1, 2], [3, 4]]) + k = np.array([[1, 2], [3, 4]]) + assert_array_equal(np.kron(a, b), k) + a = np.array([[1, 2], [3, 4]]) + b = np.array(1) + assert_array_equal(np.kron(a, b), k) + + # Using 1-dimensional ndarray + a = np.array([3]) + b = np.array([[1, 2], [3, 4]]) + k = np.array([[3, 6], [9, 12]]) + assert_array_equal(np.kron(a, b), k) + a = np.array([[1, 2], [3, 4]]) + b = np.array([3]) + assert_array_equal(np.kron(a, b), k) + + # Using 3-dimensional ndarray + a = np.array([[[1]], [[2]]]) + b = np.array([[1, 2], [3, 4]]) + k = np.array([[[1, 2], [3, 4]], [[2, 4], [6, 8]]]) + assert_array_equal(np.kron(a, b), k) + a = np.array([[1, 2], [3, 4]]) + b = np.array([[[1]], [[2]]]) + k = np.array([[[1, 2], [3, 4]], [[2, 4], [6, 8]]]) + assert_array_equal(np.kron(a, b), k) + + def test_return_type(self): + class myarray(np.ndarray): + __array_priority__ = 1.0 + + a = np.ones([2, 2]) + ma = myarray(a.shape, a.dtype, a.data) + assert_equal(type(kron(a, a)), np.ndarray) + assert_equal(type(kron(ma, ma)), myarray) + assert_equal(type(kron(a, ma)), myarray) + assert_equal(type(kron(ma, a)), myarray) + + @pytest.mark.parametrize( + "array_class", [np.asarray, np.mat] + ) + def test_kron_smoke(self, array_class): + a = array_class(np.ones([3, 3])) + b = array_class(np.ones([3, 3])) + k = array_class(np.ones([9, 9])) + + assert_array_equal(np.kron(a, b), k) + + def test_kron_ma(self): + x = np.ma.array([[1, 2], [3, 4]], mask=[[0, 1], [1, 0]]) + k = np.ma.array(np.diag([1, 4, 4, 16]), + mask=~np.array(np.identity(4), dtype=bool)) + + assert_array_equal(k, np.kron(x, x)) + + @pytest.mark.parametrize( + "shape_a,shape_b", [ + ((1, 1), (1, 1)), + ((1, 2, 3), (4, 5, 6)), + ((2, 2), (2, 2, 2)), + ((1, 0), (1, 1)), + ((2, 0, 2), (2, 2)), + ((2, 0, 0, 2), (2, 0, 2)), + ]) + def test_kron_shape(self, shape_a, shape_b): + a = np.ones(shape_a) + b = np.ones(shape_b) + normalised_shape_a = (1,) * max(0, len(shape_b)-len(shape_a)) + shape_a + normalised_shape_b = (1,) * max(0, len(shape_a)-len(shape_b)) + shape_b + expected_shape = np.multiply(normalised_shape_a, normalised_shape_b) + + k = np.kron(a, b) + assert np.array_equal( + k.shape, expected_shape), "Unexpected shape from kron" + + +class TestTile: + def test_basic(self): + a = np.array([0, 1, 2]) + b = [[1, 2], [3, 4]] + assert_equal(tile(a, 2), [0, 1, 2, 0, 1, 2]) + assert_equal(tile(a, (2, 2)), [[0, 1, 2, 0, 1, 2], [0, 1, 2, 0, 1, 2]]) + assert_equal(tile(a, (1, 2)), [[0, 1, 2, 0, 1, 2]]) + assert_equal(tile(b, 2), [[1, 2, 1, 2], [3, 4, 3, 4]]) + assert_equal(tile(b, (2, 1)), [[1, 2], [3, 4], [1, 2], [3, 4]]) + assert_equal(tile(b, (2, 2)), [[1, 2, 1, 2], [3, 4, 3, 4], + [1, 2, 1, 2], [3, 4, 3, 4]]) + + def test_tile_one_repetition_on_array_gh4679(self): + a = np.arange(5) + b = tile(a, 1) + b += 2 + assert_equal(a, np.arange(5)) + + def test_empty(self): + a = np.array([[[]]]) + b = np.array([[], []]) + c = tile(b, 2).shape + d = tile(a, (3, 2, 5)).shape + assert_equal(c, (2, 0)) + assert_equal(d, (3, 2, 0)) + + def test_kroncompare(self): + from numpy.random import randint + + reps = [(2,), (1, 2), (2, 1), (2, 2), (2, 3, 2), (3, 2)] + shape = [(3,), (2, 3), (3, 4, 3), (3, 2, 3), (4, 3, 2, 4), (2, 2)] + for s in shape: + b = randint(0, 10, size=s) + for r in reps: + a = np.ones(r, b.dtype) + large = tile(b, r) + klarge = kron(a, b) + assert_equal(large, klarge) + + +class TestMayShareMemory: + def test_basic(self): + d = np.ones((50, 60)) + d2 = np.ones((30, 60, 6)) + assert_(np.may_share_memory(d, d)) + assert_(np.may_share_memory(d, d[::-1])) + assert_(np.may_share_memory(d, d[::2])) + assert_(np.may_share_memory(d, d[1:, ::-1])) + + assert_(not np.may_share_memory(d[::-1], d2)) + assert_(not np.may_share_memory(d[::2], d2)) + assert_(not np.may_share_memory(d[1:, ::-1], d2)) + assert_(np.may_share_memory(d2[1:, ::-1], d2)) + + +# Utility +def compare_results(res, desired): + """Compare lists of arrays.""" + if len(res) != len(desired): + raise ValueError("Iterables have different lengths") + # See also PEP 618 for Python 3.10 + for x, y in zip(res, desired): + assert_array_equal(x, y) diff --git a/lib/python3.12/site-packages/numpy/lib/tests/test_stride_tricks.py b/lib/python3.12/site-packages/numpy/lib/tests/test_stride_tricks.py new file mode 100644 index 0000000000000000000000000000000000000000..efec5d24dad403c600771130f34d937fc4e42b0a --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/tests/test_stride_tricks.py @@ -0,0 +1,645 @@ +import numpy as np +from numpy.core._rational_tests import rational +from numpy.testing import ( + assert_equal, assert_array_equal, assert_raises, assert_, + assert_raises_regex, assert_warns, + ) +from numpy.lib.stride_tricks import ( + as_strided, broadcast_arrays, _broadcast_shape, broadcast_to, + broadcast_shapes, sliding_window_view, + ) +import pytest + + +def assert_shapes_correct(input_shapes, expected_shape): + # Broadcast a list of arrays with the given input shapes and check the + # common output shape. + + inarrays = [np.zeros(s) for s in input_shapes] + outarrays = broadcast_arrays(*inarrays) + outshapes = [a.shape for a in outarrays] + expected = [expected_shape] * len(inarrays) + assert_equal(outshapes, expected) + + +def assert_incompatible_shapes_raise(input_shapes): + # Broadcast a list of arrays with the given (incompatible) input shapes + # and check that they raise a ValueError. + + inarrays = [np.zeros(s) for s in input_shapes] + assert_raises(ValueError, broadcast_arrays, *inarrays) + + +def assert_same_as_ufunc(shape0, shape1, transposed=False, flipped=False): + # Broadcast two shapes against each other and check that the data layout + # is the same as if a ufunc did the broadcasting. + + x0 = np.zeros(shape0, dtype=int) + # Note that multiply.reduce's identity element is 1.0, so when shape1==(), + # this gives the desired n==1. + n = int(np.multiply.reduce(shape1)) + x1 = np.arange(n).reshape(shape1) + if transposed: + x0 = x0.T + x1 = x1.T + if flipped: + x0 = x0[::-1] + x1 = x1[::-1] + # Use the add ufunc to do the broadcasting. Since we're adding 0s to x1, the + # result should be exactly the same as the broadcasted view of x1. + y = x0 + x1 + b0, b1 = broadcast_arrays(x0, x1) + assert_array_equal(y, b1) + + +def test_same(): + x = np.arange(10) + y = np.arange(10) + bx, by = broadcast_arrays(x, y) + assert_array_equal(x, bx) + assert_array_equal(y, by) + +def test_broadcast_kwargs(): + # ensure that a TypeError is appropriately raised when + # np.broadcast_arrays() is called with any keyword + # argument other than 'subok' + x = np.arange(10) + y = np.arange(10) + + with assert_raises_regex(TypeError, 'got an unexpected keyword'): + broadcast_arrays(x, y, dtype='float64') + + +def test_one_off(): + x = np.array([[1, 2, 3]]) + y = np.array([[1], [2], [3]]) + bx, by = broadcast_arrays(x, y) + bx0 = np.array([[1, 2, 3], [1, 2, 3], [1, 2, 3]]) + by0 = bx0.T + assert_array_equal(bx0, bx) + assert_array_equal(by0, by) + + +def test_same_input_shapes(): + # Check that the final shape is just the input shape. + + data = [ + (), + (1,), + (3,), + (0, 1), + (0, 3), + (1, 0), + (3, 0), + (1, 3), + (3, 1), + (3, 3), + ] + for shape in data: + input_shapes = [shape] + # Single input. + assert_shapes_correct(input_shapes, shape) + # Double input. + input_shapes2 = [shape, shape] + assert_shapes_correct(input_shapes2, shape) + # Triple input. + input_shapes3 = [shape, shape, shape] + assert_shapes_correct(input_shapes3, shape) + + +def test_two_compatible_by_ones_input_shapes(): + # Check that two different input shapes of the same length, but some have + # ones, broadcast to the correct shape. + + data = [ + [[(1,), (3,)], (3,)], + [[(1, 3), (3, 3)], (3, 3)], + [[(3, 1), (3, 3)], (3, 3)], + [[(1, 3), (3, 1)], (3, 3)], + [[(1, 1), (3, 3)], (3, 3)], + [[(1, 1), (1, 3)], (1, 3)], + [[(1, 1), (3, 1)], (3, 1)], + [[(1, 0), (0, 0)], (0, 0)], + [[(0, 1), (0, 0)], (0, 0)], + [[(1, 0), (0, 1)], (0, 0)], + [[(1, 1), (0, 0)], (0, 0)], + [[(1, 1), (1, 0)], (1, 0)], + [[(1, 1), (0, 1)], (0, 1)], + ] + for input_shapes, expected_shape in data: + assert_shapes_correct(input_shapes, expected_shape) + # Reverse the input shapes since broadcasting should be symmetric. + assert_shapes_correct(input_shapes[::-1], expected_shape) + + +def test_two_compatible_by_prepending_ones_input_shapes(): + # Check that two different input shapes (of different lengths) broadcast + # to the correct shape. + + data = [ + [[(), (3,)], (3,)], + [[(3,), (3, 3)], (3, 3)], + [[(3,), (3, 1)], (3, 3)], + [[(1,), (3, 3)], (3, 3)], + [[(), (3, 3)], (3, 3)], + [[(1, 1), (3,)], (1, 3)], + [[(1,), (3, 1)], (3, 1)], + [[(1,), (1, 3)], (1, 3)], + [[(), (1, 3)], (1, 3)], + [[(), (3, 1)], (3, 1)], + [[(), (0,)], (0,)], + [[(0,), (0, 0)], (0, 0)], + [[(0,), (0, 1)], (0, 0)], + [[(1,), (0, 0)], (0, 0)], + [[(), (0, 0)], (0, 0)], + [[(1, 1), (0,)], (1, 0)], + [[(1,), (0, 1)], (0, 1)], + [[(1,), (1, 0)], (1, 0)], + [[(), (1, 0)], (1, 0)], + [[(), (0, 1)], (0, 1)], + ] + for input_shapes, expected_shape in data: + assert_shapes_correct(input_shapes, expected_shape) + # Reverse the input shapes since broadcasting should be symmetric. + assert_shapes_correct(input_shapes[::-1], expected_shape) + + +def test_incompatible_shapes_raise_valueerror(): + # Check that a ValueError is raised for incompatible shapes. + + data = [ + [(3,), (4,)], + [(2, 3), (2,)], + [(3,), (3,), (4,)], + [(1, 3, 4), (2, 3, 3)], + ] + for input_shapes in data: + assert_incompatible_shapes_raise(input_shapes) + # Reverse the input shapes since broadcasting should be symmetric. + assert_incompatible_shapes_raise(input_shapes[::-1]) + + +def test_same_as_ufunc(): + # Check that the data layout is the same as if a ufunc did the operation. + + data = [ + [[(1,), (3,)], (3,)], + [[(1, 3), (3, 3)], (3, 3)], + [[(3, 1), (3, 3)], (3, 3)], + [[(1, 3), (3, 1)], (3, 3)], + [[(1, 1), (3, 3)], (3, 3)], + [[(1, 1), (1, 3)], (1, 3)], + [[(1, 1), (3, 1)], (3, 1)], + [[(1, 0), (0, 0)], (0, 0)], + [[(0, 1), (0, 0)], (0, 0)], + [[(1, 0), (0, 1)], (0, 0)], + [[(1, 1), (0, 0)], (0, 0)], + [[(1, 1), (1, 0)], (1, 0)], + [[(1, 1), (0, 1)], (0, 1)], + [[(), (3,)], (3,)], + [[(3,), (3, 3)], (3, 3)], + [[(3,), (3, 1)], (3, 3)], + [[(1,), (3, 3)], (3, 3)], + [[(), (3, 3)], (3, 3)], + [[(1, 1), (3,)], (1, 3)], + [[(1,), (3, 1)], (3, 1)], + [[(1,), (1, 3)], (1, 3)], + [[(), (1, 3)], (1, 3)], + [[(), (3, 1)], (3, 1)], + [[(), (0,)], (0,)], + [[(0,), (0, 0)], (0, 0)], + [[(0,), (0, 1)], (0, 0)], + [[(1,), (0, 0)], (0, 0)], + [[(), (0, 0)], (0, 0)], + [[(1, 1), (0,)], (1, 0)], + [[(1,), (0, 1)], (0, 1)], + [[(1,), (1, 0)], (1, 0)], + [[(), (1, 0)], (1, 0)], + [[(), (0, 1)], (0, 1)], + ] + for input_shapes, expected_shape in data: + assert_same_as_ufunc(input_shapes[0], input_shapes[1], + "Shapes: %s %s" % (input_shapes[0], input_shapes[1])) + # Reverse the input shapes since broadcasting should be symmetric. + assert_same_as_ufunc(input_shapes[1], input_shapes[0]) + # Try them transposed, too. + assert_same_as_ufunc(input_shapes[0], input_shapes[1], True) + # ... and flipped for non-rank-0 inputs in order to test negative + # strides. + if () not in input_shapes: + assert_same_as_ufunc(input_shapes[0], input_shapes[1], False, True) + assert_same_as_ufunc(input_shapes[0], input_shapes[1], True, True) + + +def test_broadcast_to_succeeds(): + data = [ + [np.array(0), (0,), np.array(0)], + [np.array(0), (1,), np.zeros(1)], + [np.array(0), (3,), np.zeros(3)], + [np.ones(1), (1,), np.ones(1)], + [np.ones(1), (2,), np.ones(2)], + [np.ones(1), (1, 2, 3), np.ones((1, 2, 3))], + [np.arange(3), (3,), np.arange(3)], + [np.arange(3), (1, 3), np.arange(3).reshape(1, -1)], + [np.arange(3), (2, 3), np.array([[0, 1, 2], [0, 1, 2]])], + # test if shape is not a tuple + [np.ones(0), 0, np.ones(0)], + [np.ones(1), 1, np.ones(1)], + [np.ones(1), 2, np.ones(2)], + # these cases with size 0 are strange, but they reproduce the behavior + # of broadcasting with ufuncs (see test_same_as_ufunc above) + [np.ones(1), (0,), np.ones(0)], + [np.ones((1, 2)), (0, 2), np.ones((0, 2))], + [np.ones((2, 1)), (2, 0), np.ones((2, 0))], + ] + for input_array, shape, expected in data: + actual = broadcast_to(input_array, shape) + assert_array_equal(expected, actual) + + +def test_broadcast_to_raises(): + data = [ + [(0,), ()], + [(1,), ()], + [(3,), ()], + [(3,), (1,)], + [(3,), (2,)], + [(3,), (4,)], + [(1, 2), (2, 1)], + [(1, 1), (1,)], + [(1,), -1], + [(1,), (-1,)], + [(1, 2), (-1, 2)], + ] + for orig_shape, target_shape in data: + arr = np.zeros(orig_shape) + assert_raises(ValueError, lambda: broadcast_to(arr, target_shape)) + + +def test_broadcast_shape(): + # tests internal _broadcast_shape + # _broadcast_shape is already exercised indirectly by broadcast_arrays + # _broadcast_shape is also exercised by the public broadcast_shapes function + assert_equal(_broadcast_shape(), ()) + assert_equal(_broadcast_shape([1, 2]), (2,)) + assert_equal(_broadcast_shape(np.ones((1, 1))), (1, 1)) + assert_equal(_broadcast_shape(np.ones((1, 1)), np.ones((3, 4))), (3, 4)) + assert_equal(_broadcast_shape(*([np.ones((1, 2))] * 32)), (1, 2)) + assert_equal(_broadcast_shape(*([np.ones((1, 2))] * 100)), (1, 2)) + + # regression tests for gh-5862 + assert_equal(_broadcast_shape(*([np.ones(2)] * 32 + [1])), (2,)) + bad_args = [np.ones(2)] * 32 + [np.ones(3)] * 32 + assert_raises(ValueError, lambda: _broadcast_shape(*bad_args)) + + +def test_broadcast_shapes_succeeds(): + # tests public broadcast_shapes + data = [ + [[], ()], + [[()], ()], + [[(7,)], (7,)], + [[(1, 2), (2,)], (1, 2)], + [[(1, 1)], (1, 1)], + [[(1, 1), (3, 4)], (3, 4)], + [[(6, 7), (5, 6, 1), (7,), (5, 1, 7)], (5, 6, 7)], + [[(5, 6, 1)], (5, 6, 1)], + [[(1, 3), (3, 1)], (3, 3)], + [[(1, 0), (0, 0)], (0, 0)], + [[(0, 1), (0, 0)], (0, 0)], + [[(1, 0), (0, 1)], (0, 0)], + [[(1, 1), (0, 0)], (0, 0)], + [[(1, 1), (1, 0)], (1, 0)], + [[(1, 1), (0, 1)], (0, 1)], + [[(), (0,)], (0,)], + [[(0,), (0, 0)], (0, 0)], + [[(0,), (0, 1)], (0, 0)], + [[(1,), (0, 0)], (0, 0)], + [[(), (0, 0)], (0, 0)], + [[(1, 1), (0,)], (1, 0)], + [[(1,), (0, 1)], (0, 1)], + [[(1,), (1, 0)], (1, 0)], + [[(), (1, 0)], (1, 0)], + [[(), (0, 1)], (0, 1)], + [[(1,), (3,)], (3,)], + [[2, (3, 2)], (3, 2)], + ] + for input_shapes, target_shape in data: + assert_equal(broadcast_shapes(*input_shapes), target_shape) + + assert_equal(broadcast_shapes(*([(1, 2)] * 32)), (1, 2)) + assert_equal(broadcast_shapes(*([(1, 2)] * 100)), (1, 2)) + + # regression tests for gh-5862 + assert_equal(broadcast_shapes(*([(2,)] * 32)), (2,)) + + +def test_broadcast_shapes_raises(): + # tests public broadcast_shapes + data = [ + [(3,), (4,)], + [(2, 3), (2,)], + [(3,), (3,), (4,)], + [(1, 3, 4), (2, 3, 3)], + [(1, 2), (3,1), (3,2), (10, 5)], + [2, (2, 3)], + ] + for input_shapes in data: + assert_raises(ValueError, lambda: broadcast_shapes(*input_shapes)) + + bad_args = [(2,)] * 32 + [(3,)] * 32 + assert_raises(ValueError, lambda: broadcast_shapes(*bad_args)) + + +def test_as_strided(): + a = np.array([None]) + a_view = as_strided(a) + expected = np.array([None]) + assert_array_equal(a_view, np.array([None])) + + a = np.array([1, 2, 3, 4]) + a_view = as_strided(a, shape=(2,), strides=(2 * a.itemsize,)) + expected = np.array([1, 3]) + assert_array_equal(a_view, expected) + + a = np.array([1, 2, 3, 4]) + a_view = as_strided(a, shape=(3, 4), strides=(0, 1 * a.itemsize)) + expected = np.array([[1, 2, 3, 4], [1, 2, 3, 4], [1, 2, 3, 4]]) + assert_array_equal(a_view, expected) + + # Regression test for gh-5081 + dt = np.dtype([('num', 'i4'), ('obj', 'O')]) + a = np.empty((4,), dtype=dt) + a['num'] = np.arange(1, 5) + a_view = as_strided(a, shape=(3, 4), strides=(0, a.itemsize)) + expected_num = [[1, 2, 3, 4]] * 3 + expected_obj = [[None]*4]*3 + assert_equal(a_view.dtype, dt) + assert_array_equal(expected_num, a_view['num']) + assert_array_equal(expected_obj, a_view['obj']) + + # Make sure that void types without fields are kept unchanged + a = np.empty((4,), dtype='V4') + a_view = as_strided(a, shape=(3, 4), strides=(0, a.itemsize)) + assert_equal(a.dtype, a_view.dtype) + + # Make sure that the only type that could fail is properly handled + dt = np.dtype({'names': [''], 'formats': ['V4']}) + a = np.empty((4,), dtype=dt) + a_view = as_strided(a, shape=(3, 4), strides=(0, a.itemsize)) + assert_equal(a.dtype, a_view.dtype) + + # Custom dtypes should not be lost (gh-9161) + r = [rational(i) for i in range(4)] + a = np.array(r, dtype=rational) + a_view = as_strided(a, shape=(3, 4), strides=(0, a.itemsize)) + assert_equal(a.dtype, a_view.dtype) + assert_array_equal([r] * 3, a_view) + + +class TestSlidingWindowView: + def test_1d(self): + arr = np.arange(5) + arr_view = sliding_window_view(arr, 2) + expected = np.array([[0, 1], + [1, 2], + [2, 3], + [3, 4]]) + assert_array_equal(arr_view, expected) + + def test_2d(self): + i, j = np.ogrid[:3, :4] + arr = 10*i + j + shape = (2, 2) + arr_view = sliding_window_view(arr, shape) + expected = np.array([[[[0, 1], [10, 11]], + [[1, 2], [11, 12]], + [[2, 3], [12, 13]]], + [[[10, 11], [20, 21]], + [[11, 12], [21, 22]], + [[12, 13], [22, 23]]]]) + assert_array_equal(arr_view, expected) + + def test_2d_with_axis(self): + i, j = np.ogrid[:3, :4] + arr = 10*i + j + arr_view = sliding_window_view(arr, 3, 0) + expected = np.array([[[0, 10, 20], + [1, 11, 21], + [2, 12, 22], + [3, 13, 23]]]) + assert_array_equal(arr_view, expected) + + def test_2d_repeated_axis(self): + i, j = np.ogrid[:3, :4] + arr = 10*i + j + arr_view = sliding_window_view(arr, (2, 3), (1, 1)) + expected = np.array([[[[0, 1, 2], + [1, 2, 3]]], + [[[10, 11, 12], + [11, 12, 13]]], + [[[20, 21, 22], + [21, 22, 23]]]]) + assert_array_equal(arr_view, expected) + + def test_2d_without_axis(self): + i, j = np.ogrid[:4, :4] + arr = 10*i + j + shape = (2, 3) + arr_view = sliding_window_view(arr, shape) + expected = np.array([[[[0, 1, 2], [10, 11, 12]], + [[1, 2, 3], [11, 12, 13]]], + [[[10, 11, 12], [20, 21, 22]], + [[11, 12, 13], [21, 22, 23]]], + [[[20, 21, 22], [30, 31, 32]], + [[21, 22, 23], [31, 32, 33]]]]) + assert_array_equal(arr_view, expected) + + def test_errors(self): + i, j = np.ogrid[:4, :4] + arr = 10*i + j + with pytest.raises(ValueError, match='cannot contain negative values'): + sliding_window_view(arr, (-1, 3)) + with pytest.raises( + ValueError, + match='must provide window_shape for all dimensions of `x`'): + sliding_window_view(arr, (1,)) + with pytest.raises( + ValueError, + match='Must provide matching length window_shape and axis'): + sliding_window_view(arr, (1, 3, 4), axis=(0, 1)) + with pytest.raises( + ValueError, + match='window shape cannot be larger than input array'): + sliding_window_view(arr, (5, 5)) + + def test_writeable(self): + arr = np.arange(5) + view = sliding_window_view(arr, 2, writeable=False) + assert_(not view.flags.writeable) + with pytest.raises( + ValueError, + match='assignment destination is read-only'): + view[0, 0] = 3 + view = sliding_window_view(arr, 2, writeable=True) + assert_(view.flags.writeable) + view[0, 1] = 3 + assert_array_equal(arr, np.array([0, 3, 2, 3, 4])) + + def test_subok(self): + class MyArray(np.ndarray): + pass + + arr = np.arange(5).view(MyArray) + assert_(not isinstance(sliding_window_view(arr, 2, + subok=False), + MyArray)) + assert_(isinstance(sliding_window_view(arr, 2, subok=True), MyArray)) + # Default behavior + assert_(not isinstance(sliding_window_view(arr, 2), MyArray)) + + +def as_strided_writeable(): + arr = np.ones(10) + view = as_strided(arr, writeable=False) + assert_(not view.flags.writeable) + + # Check that writeable also is fine: + view = as_strided(arr, writeable=True) + assert_(view.flags.writeable) + view[...] = 3 + assert_array_equal(arr, np.full_like(arr, 3)) + + # Test that things do not break down for readonly: + arr.flags.writeable = False + view = as_strided(arr, writeable=False) + view = as_strided(arr, writeable=True) + assert_(not view.flags.writeable) + + +class VerySimpleSubClass(np.ndarray): + def __new__(cls, *args, **kwargs): + return np.array(*args, subok=True, **kwargs).view(cls) + + +class SimpleSubClass(VerySimpleSubClass): + def __new__(cls, *args, **kwargs): + self = np.array(*args, subok=True, **kwargs).view(cls) + self.info = 'simple' + return self + + def __array_finalize__(self, obj): + self.info = getattr(obj, 'info', '') + ' finalized' + + +def test_subclasses(): + # test that subclass is preserved only if subok=True + a = VerySimpleSubClass([1, 2, 3, 4]) + assert_(type(a) is VerySimpleSubClass) + a_view = as_strided(a, shape=(2,), strides=(2 * a.itemsize,)) + assert_(type(a_view) is np.ndarray) + a_view = as_strided(a, shape=(2,), strides=(2 * a.itemsize,), subok=True) + assert_(type(a_view) is VerySimpleSubClass) + # test that if a subclass has __array_finalize__, it is used + a = SimpleSubClass([1, 2, 3, 4]) + a_view = as_strided(a, shape=(2,), strides=(2 * a.itemsize,), subok=True) + assert_(type(a_view) is SimpleSubClass) + assert_(a_view.info == 'simple finalized') + + # similar tests for broadcast_arrays + b = np.arange(len(a)).reshape(-1, 1) + a_view, b_view = broadcast_arrays(a, b) + assert_(type(a_view) is np.ndarray) + assert_(type(b_view) is np.ndarray) + assert_(a_view.shape == b_view.shape) + a_view, b_view = broadcast_arrays(a, b, subok=True) + assert_(type(a_view) is SimpleSubClass) + assert_(a_view.info == 'simple finalized') + assert_(type(b_view) is np.ndarray) + assert_(a_view.shape == b_view.shape) + + # and for broadcast_to + shape = (2, 4) + a_view = broadcast_to(a, shape) + assert_(type(a_view) is np.ndarray) + assert_(a_view.shape == shape) + a_view = broadcast_to(a, shape, subok=True) + assert_(type(a_view) is SimpleSubClass) + assert_(a_view.info == 'simple finalized') + assert_(a_view.shape == shape) + + +def test_writeable(): + # broadcast_to should return a readonly array + original = np.array([1, 2, 3]) + result = broadcast_to(original, (2, 3)) + assert_equal(result.flags.writeable, False) + assert_raises(ValueError, result.__setitem__, slice(None), 0) + + # but the result of broadcast_arrays needs to be writeable, to + # preserve backwards compatibility + for is_broadcast, results in [(False, broadcast_arrays(original,)), + (True, broadcast_arrays(0, original))]: + for result in results: + # This will change to False in a future version + if is_broadcast: + with assert_warns(FutureWarning): + assert_equal(result.flags.writeable, True) + with assert_warns(DeprecationWarning): + result[:] = 0 + # Warning not emitted, writing to the array resets it + assert_equal(result.flags.writeable, True) + else: + # No warning: + assert_equal(result.flags.writeable, True) + + for results in [broadcast_arrays(original), + broadcast_arrays(0, original)]: + for result in results: + # resets the warn_on_write DeprecationWarning + result.flags.writeable = True + # check: no warning emitted + assert_equal(result.flags.writeable, True) + result[:] = 0 + + # keep readonly input readonly + original.flags.writeable = False + _, result = broadcast_arrays(0, original) + assert_equal(result.flags.writeable, False) + + # regression test for GH6491 + shape = (2,) + strides = [0] + tricky_array = as_strided(np.array(0), shape, strides) + other = np.zeros((1,)) + first, second = broadcast_arrays(tricky_array, other) + assert_(first.shape == second.shape) + + +def test_writeable_memoryview(): + # The result of broadcast_arrays exports as a non-writeable memoryview + # because otherwise there is no good way to opt in to the new behaviour + # (i.e. you would need to set writeable to False explicitly). + # See gh-13929. + original = np.array([1, 2, 3]) + + for is_broadcast, results in [(False, broadcast_arrays(original,)), + (True, broadcast_arrays(0, original))]: + for result in results: + # This will change to False in a future version + if is_broadcast: + # memoryview(result, writable=True) will give warning but cannot + # be tested using the python API. + assert memoryview(result).readonly + else: + assert not memoryview(result).readonly + + +def test_reference_types(): + input_array = np.array('a', dtype=object) + expected = np.array(['a'] * 3, dtype=object) + actual = broadcast_to(input_array, (3,)) + assert_array_equal(expected, actual) + + actual, _ = broadcast_arrays(input_array, np.ones(3)) + assert_array_equal(expected, actual) diff --git a/lib/python3.12/site-packages/numpy/lib/tests/test_twodim_base.py b/lib/python3.12/site-packages/numpy/lib/tests/test_twodim_base.py new file mode 100644 index 0000000000000000000000000000000000000000..eb008c6002c86c94b180533230f849c909d10f39 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/tests/test_twodim_base.py @@ -0,0 +1,541 @@ +"""Test functions for matrix module + +""" +from numpy.testing import ( + assert_equal, assert_array_equal, assert_array_max_ulp, + assert_array_almost_equal, assert_raises, assert_ +) +from numpy import ( + arange, add, fliplr, flipud, zeros, ones, eye, array, diag, histogram2d, + tri, mask_indices, triu_indices, triu_indices_from, tril_indices, + tril_indices_from, vander, +) +import numpy as np + +import pytest + + +def get_mat(n): + data = arange(n) + data = add.outer(data, data) + return data + + +class TestEye: + def test_basic(self): + assert_equal(eye(4), + array([[1, 0, 0, 0], + [0, 1, 0, 0], + [0, 0, 1, 0], + [0, 0, 0, 1]])) + + assert_equal(eye(4, dtype='f'), + array([[1, 0, 0, 0], + [0, 1, 0, 0], + [0, 0, 1, 0], + [0, 0, 0, 1]], 'f')) + + assert_equal(eye(3) == 1, + eye(3, dtype=bool)) + + def test_uint64(self): + # Regression test for gh-9982 + assert_equal(eye(np.uint64(2), dtype=int), array([[1, 0], [0, 1]])) + assert_equal(eye(np.uint64(2), M=np.uint64(4), k=np.uint64(1)), + array([[0, 1, 0, 0], [0, 0, 1, 0]])) + + def test_diag(self): + assert_equal(eye(4, k=1), + array([[0, 1, 0, 0], + [0, 0, 1, 0], + [0, 0, 0, 1], + [0, 0, 0, 0]])) + + assert_equal(eye(4, k=-1), + array([[0, 0, 0, 0], + [1, 0, 0, 0], + [0, 1, 0, 0], + [0, 0, 1, 0]])) + + def test_2d(self): + assert_equal(eye(4, 3), + array([[1, 0, 0], + [0, 1, 0], + [0, 0, 1], + [0, 0, 0]])) + + assert_equal(eye(3, 4), + array([[1, 0, 0, 0], + [0, 1, 0, 0], + [0, 0, 1, 0]])) + + def test_diag2d(self): + assert_equal(eye(3, 4, k=2), + array([[0, 0, 1, 0], + [0, 0, 0, 1], + [0, 0, 0, 0]])) + + assert_equal(eye(4, 3, k=-2), + array([[0, 0, 0], + [0, 0, 0], + [1, 0, 0], + [0, 1, 0]])) + + def test_eye_bounds(self): + assert_equal(eye(2, 2, 1), [[0, 1], [0, 0]]) + assert_equal(eye(2, 2, -1), [[0, 0], [1, 0]]) + assert_equal(eye(2, 2, 2), [[0, 0], [0, 0]]) + assert_equal(eye(2, 2, -2), [[0, 0], [0, 0]]) + assert_equal(eye(3, 2, 2), [[0, 0], [0, 0], [0, 0]]) + assert_equal(eye(3, 2, 1), [[0, 1], [0, 0], [0, 0]]) + assert_equal(eye(3, 2, -1), [[0, 0], [1, 0], [0, 1]]) + assert_equal(eye(3, 2, -2), [[0, 0], [0, 0], [1, 0]]) + assert_equal(eye(3, 2, -3), [[0, 0], [0, 0], [0, 0]]) + + def test_strings(self): + assert_equal(eye(2, 2, dtype='S3'), + [[b'1', b''], [b'', b'1']]) + + def test_bool(self): + assert_equal(eye(2, 2, dtype=bool), [[True, False], [False, True]]) + + def test_order(self): + mat_c = eye(4, 3, k=-1) + mat_f = eye(4, 3, k=-1, order='F') + assert_equal(mat_c, mat_f) + assert mat_c.flags.c_contiguous + assert not mat_c.flags.f_contiguous + assert not mat_f.flags.c_contiguous + assert mat_f.flags.f_contiguous + + +class TestDiag: + def test_vector(self): + vals = (100 * arange(5)).astype('l') + b = zeros((5, 5)) + for k in range(5): + b[k, k] = vals[k] + assert_equal(diag(vals), b) + b = zeros((7, 7)) + c = b.copy() + for k in range(5): + b[k, k + 2] = vals[k] + c[k + 2, k] = vals[k] + assert_equal(diag(vals, k=2), b) + assert_equal(diag(vals, k=-2), c) + + def test_matrix(self, vals=None): + if vals is None: + vals = (100 * get_mat(5) + 1).astype('l') + b = zeros((5,)) + for k in range(5): + b[k] = vals[k, k] + assert_equal(diag(vals), b) + b = b * 0 + for k in range(3): + b[k] = vals[k, k + 2] + assert_equal(diag(vals, 2), b[:3]) + for k in range(3): + b[k] = vals[k + 2, k] + assert_equal(diag(vals, -2), b[:3]) + + def test_fortran_order(self): + vals = array((100 * get_mat(5) + 1), order='F', dtype='l') + self.test_matrix(vals) + + def test_diag_bounds(self): + A = [[1, 2], [3, 4], [5, 6]] + assert_equal(diag(A, k=2), []) + assert_equal(diag(A, k=1), [2]) + assert_equal(diag(A, k=0), [1, 4]) + assert_equal(diag(A, k=-1), [3, 6]) + assert_equal(diag(A, k=-2), [5]) + assert_equal(diag(A, k=-3), []) + + def test_failure(self): + assert_raises(ValueError, diag, [[[1]]]) + + +class TestFliplr: + def test_basic(self): + assert_raises(ValueError, fliplr, ones(4)) + a = get_mat(4) + b = a[:, ::-1] + assert_equal(fliplr(a), b) + a = [[0, 1, 2], + [3, 4, 5]] + b = [[2, 1, 0], + [5, 4, 3]] + assert_equal(fliplr(a), b) + + +class TestFlipud: + def test_basic(self): + a = get_mat(4) + b = a[::-1, :] + assert_equal(flipud(a), b) + a = [[0, 1, 2], + [3, 4, 5]] + b = [[3, 4, 5], + [0, 1, 2]] + assert_equal(flipud(a), b) + + +class TestHistogram2d: + def test_simple(self): + x = array( + [0.41702200, 0.72032449, 1.1437481e-4, 0.302332573, 0.146755891]) + y = array( + [0.09233859, 0.18626021, 0.34556073, 0.39676747, 0.53881673]) + xedges = np.linspace(0, 1, 10) + yedges = np.linspace(0, 1, 10) + H = histogram2d(x, y, (xedges, yedges))[0] + answer = array( + [[0, 0, 0, 1, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 1, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0], + [1, 0, 1, 0, 0, 0, 0, 0, 0], + [0, 1, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0]]) + assert_array_equal(H.T, answer) + H = histogram2d(x, y, xedges)[0] + assert_array_equal(H.T, answer) + H, xedges, yedges = histogram2d(list(range(10)), list(range(10))) + assert_array_equal(H, eye(10, 10)) + assert_array_equal(xedges, np.linspace(0, 9, 11)) + assert_array_equal(yedges, np.linspace(0, 9, 11)) + + def test_asym(self): + x = array([1, 1, 2, 3, 4, 4, 4, 5]) + y = array([1, 3, 2, 0, 1, 2, 3, 4]) + H, xed, yed = histogram2d( + x, y, (6, 5), range=[[0, 6], [0, 5]], density=True) + answer = array( + [[0., 0, 0, 0, 0], + [0, 1, 0, 1, 0], + [0, 0, 1, 0, 0], + [1, 0, 0, 0, 0], + [0, 1, 1, 1, 0], + [0, 0, 0, 0, 1]]) + assert_array_almost_equal(H, answer/8., 3) + assert_array_equal(xed, np.linspace(0, 6, 7)) + assert_array_equal(yed, np.linspace(0, 5, 6)) + + def test_density(self): + x = array([1, 2, 3, 1, 2, 3, 1, 2, 3]) + y = array([1, 1, 1, 2, 2, 2, 3, 3, 3]) + H, xed, yed = histogram2d( + x, y, [[1, 2, 3, 5], [1, 2, 3, 5]], density=True) + answer = array([[1, 1, .5], + [1, 1, .5], + [.5, .5, .25]])/9. + assert_array_almost_equal(H, answer, 3) + + def test_all_outliers(self): + r = np.random.rand(100) + 1. + 1e6 # histogramdd rounds by decimal=6 + H, xed, yed = histogram2d(r, r, (4, 5), range=([0, 1], [0, 1])) + assert_array_equal(H, 0) + + def test_empty(self): + a, edge1, edge2 = histogram2d([], [], bins=([0, 1], [0, 1])) + assert_array_max_ulp(a, array([[0.]])) + + a, edge1, edge2 = histogram2d([], [], bins=4) + assert_array_max_ulp(a, np.zeros((4, 4))) + + def test_binparameter_combination(self): + x = array( + [0, 0.09207008, 0.64575234, 0.12875982, 0.47390599, + 0.59944483, 1]) + y = array( + [0, 0.14344267, 0.48988575, 0.30558665, 0.44700682, + 0.15886423, 1]) + edges = (0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1) + H, xe, ye = histogram2d(x, y, (edges, 4)) + answer = array( + [[2., 0., 0., 0.], + [0., 1., 0., 0.], + [0., 0., 0., 0.], + [0., 0., 0., 0.], + [0., 1., 0., 0.], + [1., 0., 0., 0.], + [0., 1., 0., 0.], + [0., 0., 0., 0.], + [0., 0., 0., 0.], + [0., 0., 0., 1.]]) + assert_array_equal(H, answer) + assert_array_equal(ye, array([0., 0.25, 0.5, 0.75, 1])) + H, xe, ye = histogram2d(x, y, (4, edges)) + answer = array( + [[1., 1., 0., 1., 0., 0., 0., 0., 0., 0.], + [0., 0., 0., 0., 1., 0., 0., 0., 0., 0.], + [0., 1., 0., 0., 1., 0., 0., 0., 0., 0.], + [0., 0., 0., 0., 0., 0., 0., 0., 0., 1.]]) + assert_array_equal(H, answer) + assert_array_equal(xe, array([0., 0.25, 0.5, 0.75, 1])) + + def test_dispatch(self): + class ShouldDispatch: + def __array_function__(self, function, types, args, kwargs): + return types, args, kwargs + + xy = [1, 2] + s_d = ShouldDispatch() + r = histogram2d(s_d, xy) + # Cannot use assert_equal since that dispatches... + assert_(r == ((ShouldDispatch,), (s_d, xy), {})) + r = histogram2d(xy, s_d) + assert_(r == ((ShouldDispatch,), (xy, s_d), {})) + r = histogram2d(xy, xy, bins=s_d) + assert_(r, ((ShouldDispatch,), (xy, xy), dict(bins=s_d))) + r = histogram2d(xy, xy, bins=[s_d, 5]) + assert_(r, ((ShouldDispatch,), (xy, xy), dict(bins=[s_d, 5]))) + assert_raises(Exception, histogram2d, xy, xy, bins=[s_d]) + r = histogram2d(xy, xy, weights=s_d) + assert_(r, ((ShouldDispatch,), (xy, xy), dict(weights=s_d))) + + @pytest.mark.parametrize(("x_len", "y_len"), [(10, 11), (20, 19)]) + def test_bad_length(self, x_len, y_len): + x, y = np.ones(x_len), np.ones(y_len) + with pytest.raises(ValueError, + match='x and y must have the same length.'): + histogram2d(x, y) + + +class TestTri: + def test_dtype(self): + out = array([[1, 0, 0], + [1, 1, 0], + [1, 1, 1]]) + assert_array_equal(tri(3), out) + assert_array_equal(tri(3, dtype=bool), out.astype(bool)) + + +def test_tril_triu_ndim2(): + for dtype in np.typecodes['AllFloat'] + np.typecodes['AllInteger']: + a = np.ones((2, 2), dtype=dtype) + b = np.tril(a) + c = np.triu(a) + assert_array_equal(b, [[1, 0], [1, 1]]) + assert_array_equal(c, b.T) + # should return the same dtype as the original array + assert_equal(b.dtype, a.dtype) + assert_equal(c.dtype, a.dtype) + + +def test_tril_triu_ndim3(): + for dtype in np.typecodes['AllFloat'] + np.typecodes['AllInteger']: + a = np.array([ + [[1, 1], [1, 1]], + [[1, 1], [1, 0]], + [[1, 1], [0, 0]], + ], dtype=dtype) + a_tril_desired = np.array([ + [[1, 0], [1, 1]], + [[1, 0], [1, 0]], + [[1, 0], [0, 0]], + ], dtype=dtype) + a_triu_desired = np.array([ + [[1, 1], [0, 1]], + [[1, 1], [0, 0]], + [[1, 1], [0, 0]], + ], dtype=dtype) + a_triu_observed = np.triu(a) + a_tril_observed = np.tril(a) + assert_array_equal(a_triu_observed, a_triu_desired) + assert_array_equal(a_tril_observed, a_tril_desired) + assert_equal(a_triu_observed.dtype, a.dtype) + assert_equal(a_tril_observed.dtype, a.dtype) + + +def test_tril_triu_with_inf(): + # Issue 4859 + arr = np.array([[1, 1, np.inf], + [1, 1, 1], + [np.inf, 1, 1]]) + out_tril = np.array([[1, 0, 0], + [1, 1, 0], + [np.inf, 1, 1]]) + out_triu = out_tril.T + assert_array_equal(np.triu(arr), out_triu) + assert_array_equal(np.tril(arr), out_tril) + + +def test_tril_triu_dtype(): + # Issue 4916 + # tril and triu should return the same dtype as input + for c in np.typecodes['All']: + if c == 'V': + continue + arr = np.zeros((3, 3), dtype=c) + assert_equal(np.triu(arr).dtype, arr.dtype) + assert_equal(np.tril(arr).dtype, arr.dtype) + + # check special cases + arr = np.array([['2001-01-01T12:00', '2002-02-03T13:56'], + ['2004-01-01T12:00', '2003-01-03T13:45']], + dtype='datetime64') + assert_equal(np.triu(arr).dtype, arr.dtype) + assert_equal(np.tril(arr).dtype, arr.dtype) + + arr = np.zeros((3, 3), dtype='f4,f4') + assert_equal(np.triu(arr).dtype, arr.dtype) + assert_equal(np.tril(arr).dtype, arr.dtype) + + +def test_mask_indices(): + # simple test without offset + iu = mask_indices(3, np.triu) + a = np.arange(9).reshape(3, 3) + assert_array_equal(a[iu], array([0, 1, 2, 4, 5, 8])) + # Now with an offset + iu1 = mask_indices(3, np.triu, 1) + assert_array_equal(a[iu1], array([1, 2, 5])) + + +def test_tril_indices(): + # indices without and with offset + il1 = tril_indices(4) + il2 = tril_indices(4, k=2) + il3 = tril_indices(4, m=5) + il4 = tril_indices(4, k=2, m=5) + + a = np.array([[1, 2, 3, 4], + [5, 6, 7, 8], + [9, 10, 11, 12], + [13, 14, 15, 16]]) + b = np.arange(1, 21).reshape(4, 5) + + # indexing: + assert_array_equal(a[il1], + array([1, 5, 6, 9, 10, 11, 13, 14, 15, 16])) + assert_array_equal(b[il3], + array([1, 6, 7, 11, 12, 13, 16, 17, 18, 19])) + + # And for assigning values: + a[il1] = -1 + assert_array_equal(a, + array([[-1, 2, 3, 4], + [-1, -1, 7, 8], + [-1, -1, -1, 12], + [-1, -1, -1, -1]])) + b[il3] = -1 + assert_array_equal(b, + array([[-1, 2, 3, 4, 5], + [-1, -1, 8, 9, 10], + [-1, -1, -1, 14, 15], + [-1, -1, -1, -1, 20]])) + # These cover almost the whole array (two diagonals right of the main one): + a[il2] = -10 + assert_array_equal(a, + array([[-10, -10, -10, 4], + [-10, -10, -10, -10], + [-10, -10, -10, -10], + [-10, -10, -10, -10]])) + b[il4] = -10 + assert_array_equal(b, + array([[-10, -10, -10, 4, 5], + [-10, -10, -10, -10, 10], + [-10, -10, -10, -10, -10], + [-10, -10, -10, -10, -10]])) + + +class TestTriuIndices: + def test_triu_indices(self): + iu1 = triu_indices(4) + iu2 = triu_indices(4, k=2) + iu3 = triu_indices(4, m=5) + iu4 = triu_indices(4, k=2, m=5) + + a = np.array([[1, 2, 3, 4], + [5, 6, 7, 8], + [9, 10, 11, 12], + [13, 14, 15, 16]]) + b = np.arange(1, 21).reshape(4, 5) + + # Both for indexing: + assert_array_equal(a[iu1], + array([1, 2, 3, 4, 6, 7, 8, 11, 12, 16])) + assert_array_equal(b[iu3], + array([1, 2, 3, 4, 5, 7, 8, 9, + 10, 13, 14, 15, 19, 20])) + + # And for assigning values: + a[iu1] = -1 + assert_array_equal(a, + array([[-1, -1, -1, -1], + [5, -1, -1, -1], + [9, 10, -1, -1], + [13, 14, 15, -1]])) + b[iu3] = -1 + assert_array_equal(b, + array([[-1, -1, -1, -1, -1], + [6, -1, -1, -1, -1], + [11, 12, -1, -1, -1], + [16, 17, 18, -1, -1]])) + + # These cover almost the whole array (two diagonals right of the + # main one): + a[iu2] = -10 + assert_array_equal(a, + array([[-1, -1, -10, -10], + [5, -1, -1, -10], + [9, 10, -1, -1], + [13, 14, 15, -1]])) + b[iu4] = -10 + assert_array_equal(b, + array([[-1, -1, -10, -10, -10], + [6, -1, -1, -10, -10], + [11, 12, -1, -1, -10], + [16, 17, 18, -1, -1]])) + + +class TestTrilIndicesFrom: + def test_exceptions(self): + assert_raises(ValueError, tril_indices_from, np.ones((2,))) + assert_raises(ValueError, tril_indices_from, np.ones((2, 2, 2))) + # assert_raises(ValueError, tril_indices_from, np.ones((2, 3))) + + +class TestTriuIndicesFrom: + def test_exceptions(self): + assert_raises(ValueError, triu_indices_from, np.ones((2,))) + assert_raises(ValueError, triu_indices_from, np.ones((2, 2, 2))) + # assert_raises(ValueError, triu_indices_from, np.ones((2, 3))) + + +class TestVander: + def test_basic(self): + c = np.array([0, 1, -2, 3]) + v = vander(c) + powers = np.array([[0, 0, 0, 0, 1], + [1, 1, 1, 1, 1], + [16, -8, 4, -2, 1], + [81, 27, 9, 3, 1]]) + # Check default value of N: + assert_array_equal(v, powers[:, 1:]) + # Check a range of N values, including 0 and 5 (greater than default) + m = powers.shape[1] + for n in range(6): + v = vander(c, N=n) + assert_array_equal(v, powers[:, m-n:m]) + + def test_dtypes(self): + c = array([11, -12, 13], dtype=np.int8) + v = vander(c) + expected = np.array([[121, 11, 1], + [144, -12, 1], + [169, 13, 1]]) + assert_array_equal(v, expected) + + c = array([1.0+1j, 1.0-1j]) + v = vander(c, N=3) + expected = np.array([[2j, 1+1j, 1], + [-2j, 1-1j, 1]]) + # The data is floating point, but the values are small integers, + # so assert_array_equal *should* be safe here (rather than, say, + # assert_array_almost_equal). + assert_array_equal(v, expected) diff --git a/lib/python3.12/site-packages/numpy/lib/tests/test_type_check.py b/lib/python3.12/site-packages/numpy/lib/tests/test_type_check.py new file mode 100644 index 0000000000000000000000000000000000000000..ea0326139115b07d559f6f595fe54bfa4f185459 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/tests/test_type_check.py @@ -0,0 +1,478 @@ +import numpy as np +from numpy.testing import ( + assert_, assert_equal, assert_array_equal, assert_raises + ) +from numpy.lib.type_check import ( + common_type, mintypecode, isreal, iscomplex, isposinf, isneginf, + nan_to_num, isrealobj, iscomplexobj, asfarray, real_if_close + ) + + +def assert_all(x): + assert_(np.all(x), x) + + +class TestCommonType: + def test_basic(self): + ai32 = np.array([[1, 2], [3, 4]], dtype=np.int32) + af16 = np.array([[1, 2], [3, 4]], dtype=np.float16) + af32 = np.array([[1, 2], [3, 4]], dtype=np.float32) + af64 = np.array([[1, 2], [3, 4]], dtype=np.float64) + acs = np.array([[1+5j, 2+6j], [3+7j, 4+8j]], dtype=np.csingle) + acd = np.array([[1+5j, 2+6j], [3+7j, 4+8j]], dtype=np.cdouble) + assert_(common_type(ai32) == np.float64) + assert_(common_type(af16) == np.float16) + assert_(common_type(af32) == np.float32) + assert_(common_type(af64) == np.float64) + assert_(common_type(acs) == np.csingle) + assert_(common_type(acd) == np.cdouble) + + +class TestMintypecode: + + def test_default_1(self): + for itype in '1bcsuwil': + assert_equal(mintypecode(itype), 'd') + assert_equal(mintypecode('f'), 'f') + assert_equal(mintypecode('d'), 'd') + assert_equal(mintypecode('F'), 'F') + assert_equal(mintypecode('D'), 'D') + + def test_default_2(self): + for itype in '1bcsuwil': + assert_equal(mintypecode(itype+'f'), 'f') + assert_equal(mintypecode(itype+'d'), 'd') + assert_equal(mintypecode(itype+'F'), 'F') + assert_equal(mintypecode(itype+'D'), 'D') + assert_equal(mintypecode('ff'), 'f') + assert_equal(mintypecode('fd'), 'd') + assert_equal(mintypecode('fF'), 'F') + assert_equal(mintypecode('fD'), 'D') + assert_equal(mintypecode('df'), 'd') + assert_equal(mintypecode('dd'), 'd') + #assert_equal(mintypecode('dF',savespace=1),'F') + assert_equal(mintypecode('dF'), 'D') + assert_equal(mintypecode('dD'), 'D') + assert_equal(mintypecode('Ff'), 'F') + #assert_equal(mintypecode('Fd',savespace=1),'F') + assert_equal(mintypecode('Fd'), 'D') + assert_equal(mintypecode('FF'), 'F') + assert_equal(mintypecode('FD'), 'D') + assert_equal(mintypecode('Df'), 'D') + assert_equal(mintypecode('Dd'), 'D') + assert_equal(mintypecode('DF'), 'D') + assert_equal(mintypecode('DD'), 'D') + + def test_default_3(self): + assert_equal(mintypecode('fdF'), 'D') + #assert_equal(mintypecode('fdF',savespace=1),'F') + assert_equal(mintypecode('fdD'), 'D') + assert_equal(mintypecode('fFD'), 'D') + assert_equal(mintypecode('dFD'), 'D') + + assert_equal(mintypecode('ifd'), 'd') + assert_equal(mintypecode('ifF'), 'F') + assert_equal(mintypecode('ifD'), 'D') + assert_equal(mintypecode('idF'), 'D') + #assert_equal(mintypecode('idF',savespace=1),'F') + assert_equal(mintypecode('idD'), 'D') + + +class TestIsscalar: + + def test_basic(self): + assert_(np.isscalar(3)) + assert_(not np.isscalar([3])) + assert_(not np.isscalar((3,))) + assert_(np.isscalar(3j)) + assert_(np.isscalar(4.0)) + + +class TestReal: + + def test_real(self): + y = np.random.rand(10,) + assert_array_equal(y, np.real(y)) + + y = np.array(1) + out = np.real(y) + assert_array_equal(y, out) + assert_(isinstance(out, np.ndarray)) + + y = 1 + out = np.real(y) + assert_equal(y, out) + assert_(not isinstance(out, np.ndarray)) + + def test_cmplx(self): + y = np.random.rand(10,)+1j*np.random.rand(10,) + assert_array_equal(y.real, np.real(y)) + + y = np.array(1 + 1j) + out = np.real(y) + assert_array_equal(y.real, out) + assert_(isinstance(out, np.ndarray)) + + y = 1 + 1j + out = np.real(y) + assert_equal(1.0, out) + assert_(not isinstance(out, np.ndarray)) + + +class TestImag: + + def test_real(self): + y = np.random.rand(10,) + assert_array_equal(0, np.imag(y)) + + y = np.array(1) + out = np.imag(y) + assert_array_equal(0, out) + assert_(isinstance(out, np.ndarray)) + + y = 1 + out = np.imag(y) + assert_equal(0, out) + assert_(not isinstance(out, np.ndarray)) + + def test_cmplx(self): + y = np.random.rand(10,)+1j*np.random.rand(10,) + assert_array_equal(y.imag, np.imag(y)) + + y = np.array(1 + 1j) + out = np.imag(y) + assert_array_equal(y.imag, out) + assert_(isinstance(out, np.ndarray)) + + y = 1 + 1j + out = np.imag(y) + assert_equal(1.0, out) + assert_(not isinstance(out, np.ndarray)) + + +class TestIscomplex: + + def test_fail(self): + z = np.array([-1, 0, 1]) + res = iscomplex(z) + assert_(not np.any(res, axis=0)) + + def test_pass(self): + z = np.array([-1j, 1, 0]) + res = iscomplex(z) + assert_array_equal(res, [1, 0, 0]) + + +class TestIsreal: + + def test_pass(self): + z = np.array([-1, 0, 1j]) + res = isreal(z) + assert_array_equal(res, [1, 1, 0]) + + def test_fail(self): + z = np.array([-1j, 1, 0]) + res = isreal(z) + assert_array_equal(res, [0, 1, 1]) + + +class TestIscomplexobj: + + def test_basic(self): + z = np.array([-1, 0, 1]) + assert_(not iscomplexobj(z)) + z = np.array([-1j, 0, -1]) + assert_(iscomplexobj(z)) + + def test_scalar(self): + assert_(not iscomplexobj(1.0)) + assert_(iscomplexobj(1+0j)) + + def test_list(self): + assert_(iscomplexobj([3, 1+0j, True])) + assert_(not iscomplexobj([3, 1, True])) + + def test_duck(self): + class DummyComplexArray: + @property + def dtype(self): + return np.dtype(complex) + dummy = DummyComplexArray() + assert_(iscomplexobj(dummy)) + + def test_pandas_duck(self): + # This tests a custom np.dtype duck-typed class, such as used by pandas + # (pandas.core.dtypes) + class PdComplex(np.complex128): + pass + class PdDtype: + name = 'category' + names = None + type = PdComplex + kind = 'c' + str = ' 1e10) and assert_all(np.isfinite(vals[2])) + assert_equal(type(vals), np.ndarray) + + # perform the same tests but with nan, posinf and neginf keywords + with np.errstate(divide='ignore', invalid='ignore'): + vals = nan_to_num(np.array((-1., 0, 1))/0., + nan=10, posinf=20, neginf=30) + assert_equal(vals, [30, 10, 20]) + assert_all(np.isfinite(vals[[0, 2]])) + assert_equal(type(vals), np.ndarray) + + # perform the same test but in-place + with np.errstate(divide='ignore', invalid='ignore'): + vals = np.array((-1., 0, 1))/0. + result = nan_to_num(vals, copy=False) + + assert_(result is vals) + assert_all(vals[0] < -1e10) and assert_all(np.isfinite(vals[0])) + assert_(vals[1] == 0) + assert_all(vals[2] > 1e10) and assert_all(np.isfinite(vals[2])) + assert_equal(type(vals), np.ndarray) + + # perform the same test but in-place + with np.errstate(divide='ignore', invalid='ignore'): + vals = np.array((-1., 0, 1))/0. + result = nan_to_num(vals, copy=False, nan=10, posinf=20, neginf=30) + + assert_(result is vals) + assert_equal(vals, [30, 10, 20]) + assert_all(np.isfinite(vals[[0, 2]])) + assert_equal(type(vals), np.ndarray) + + def test_array(self): + vals = nan_to_num([1]) + assert_array_equal(vals, np.array([1], int)) + assert_equal(type(vals), np.ndarray) + vals = nan_to_num([1], nan=10, posinf=20, neginf=30) + assert_array_equal(vals, np.array([1], int)) + assert_equal(type(vals), np.ndarray) + + def test_integer(self): + vals = nan_to_num(1) + assert_all(vals == 1) + assert_equal(type(vals), np.int_) + vals = nan_to_num(1, nan=10, posinf=20, neginf=30) + assert_all(vals == 1) + assert_equal(type(vals), np.int_) + + def test_float(self): + vals = nan_to_num(1.0) + assert_all(vals == 1.0) + assert_equal(type(vals), np.float_) + vals = nan_to_num(1.1, nan=10, posinf=20, neginf=30) + assert_all(vals == 1.1) + assert_equal(type(vals), np.float_) + + def test_complex_good(self): + vals = nan_to_num(1+1j) + assert_all(vals == 1+1j) + assert_equal(type(vals), np.complex_) + vals = nan_to_num(1+1j, nan=10, posinf=20, neginf=30) + assert_all(vals == 1+1j) + assert_equal(type(vals), np.complex_) + + def test_complex_bad(self): + with np.errstate(divide='ignore', invalid='ignore'): + v = 1 + 1j + v += np.array(0+1.j)/0. + vals = nan_to_num(v) + # !! This is actually (unexpectedly) zero + assert_all(np.isfinite(vals)) + assert_equal(type(vals), np.complex_) + + def test_complex_bad2(self): + with np.errstate(divide='ignore', invalid='ignore'): + v = 1 + 1j + v += np.array(-1+1.j)/0. + vals = nan_to_num(v) + assert_all(np.isfinite(vals)) + assert_equal(type(vals), np.complex_) + # Fixme + #assert_all(vals.imag > 1e10) and assert_all(np.isfinite(vals)) + # !! This is actually (unexpectedly) positive + # !! inf. Comment out for now, and see if it + # !! changes + #assert_all(vals.real < -1e10) and assert_all(np.isfinite(vals)) + + def test_do_not_rewrite_previous_keyword(self): + # This is done to test that when, for instance, nan=np.inf then these + # values are not rewritten by posinf keyword to the posinf value. + with np.errstate(divide='ignore', invalid='ignore'): + vals = nan_to_num(np.array((-1., 0, 1))/0., nan=np.inf, posinf=999) + assert_all(np.isfinite(vals[[0, 2]])) + assert_all(vals[0] < -1e10) + assert_equal(vals[[1, 2]], [np.inf, 999]) + assert_equal(type(vals), np.ndarray) + + +class TestRealIfClose: + + def test_basic(self): + a = np.random.rand(10) + b = real_if_close(a+1e-15j) + assert_all(isrealobj(b)) + assert_array_equal(a, b) + b = real_if_close(a+1e-7j) + assert_all(iscomplexobj(b)) + b = real_if_close(a+1e-7j, tol=1e-6) + assert_all(isrealobj(b)) + + +class TestArrayConversion: + + def test_asfarray(self): + a = asfarray(np.array([1, 2, 3])) + assert_equal(a.__class__, np.ndarray) + assert_(np.issubdtype(a.dtype, np.floating)) + + # previously this would infer dtypes from arrays, unlike every single + # other numpy function + assert_raises(TypeError, + asfarray, np.array([1, 2, 3]), dtype=np.array(1.0)) diff --git a/lib/python3.12/site-packages/numpy/lib/tests/test_ufunclike.py b/lib/python3.12/site-packages/numpy/lib/tests/test_ufunclike.py new file mode 100644 index 0000000000000000000000000000000000000000..fac4f41d0919a08b8a8c05827e19839abc47bd86 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/tests/test_ufunclike.py @@ -0,0 +1,98 @@ +import numpy as np +import numpy.core as nx +import numpy.lib.ufunclike as ufl +from numpy.testing import ( + assert_, assert_equal, assert_array_equal, assert_warns, assert_raises +) + + +class TestUfunclike: + + def test_isposinf(self): + a = nx.array([nx.inf, -nx.inf, nx.nan, 0.0, 3.0, -3.0]) + out = nx.zeros(a.shape, bool) + tgt = nx.array([True, False, False, False, False, False]) + + res = ufl.isposinf(a) + assert_equal(res, tgt) + res = ufl.isposinf(a, out) + assert_equal(res, tgt) + assert_equal(out, tgt) + + a = a.astype(np.complex_) + with assert_raises(TypeError): + ufl.isposinf(a) + + def test_isneginf(self): + a = nx.array([nx.inf, -nx.inf, nx.nan, 0.0, 3.0, -3.0]) + out = nx.zeros(a.shape, bool) + tgt = nx.array([False, True, False, False, False, False]) + + res = ufl.isneginf(a) + assert_equal(res, tgt) + res = ufl.isneginf(a, out) + assert_equal(res, tgt) + assert_equal(out, tgt) + + a = a.astype(np.complex_) + with assert_raises(TypeError): + ufl.isneginf(a) + + def test_fix(self): + a = nx.array([[1.0, 1.1, 1.5, 1.8], [-1.0, -1.1, -1.5, -1.8]]) + out = nx.zeros(a.shape, float) + tgt = nx.array([[1., 1., 1., 1.], [-1., -1., -1., -1.]]) + + res = ufl.fix(a) + assert_equal(res, tgt) + res = ufl.fix(a, out) + assert_equal(res, tgt) + assert_equal(out, tgt) + assert_equal(ufl.fix(3.14), 3) + + def test_fix_with_subclass(self): + class MyArray(nx.ndarray): + def __new__(cls, data, metadata=None): + res = nx.array(data, copy=True).view(cls) + res.metadata = metadata + return res + + def __array_wrap__(self, obj, context=None): + if isinstance(obj, MyArray): + obj.metadata = self.metadata + return obj + + def __array_finalize__(self, obj): + self.metadata = getattr(obj, 'metadata', None) + return self + + a = nx.array([1.1, -1.1]) + m = MyArray(a, metadata='foo') + f = ufl.fix(m) + assert_array_equal(f, nx.array([1, -1])) + assert_(isinstance(f, MyArray)) + assert_equal(f.metadata, 'foo') + + # check 0d arrays don't decay to scalars + m0d = m[0,...] + m0d.metadata = 'bar' + f0d = ufl.fix(m0d) + assert_(isinstance(f0d, MyArray)) + assert_equal(f0d.metadata, 'bar') + + def test_scalar(self): + x = np.inf + actual = np.isposinf(x) + expected = np.True_ + assert_equal(actual, expected) + assert_equal(type(actual), type(expected)) + + x = -3.4 + actual = np.fix(x) + expected = np.float64(-3.0) + assert_equal(actual, expected) + assert_equal(type(actual), type(expected)) + + out = np.array(0.0) + actual = np.fix(x, out=out) + assert_(actual is out) diff --git a/lib/python3.12/site-packages/numpy/lib/tests/test_utils.py b/lib/python3.12/site-packages/numpy/lib/tests/test_utils.py new file mode 100644 index 0000000000000000000000000000000000000000..45416b0597732159ee4f098ca8f6bd2c62309722 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/tests/test_utils.py @@ -0,0 +1,228 @@ +import inspect +import sys +import pytest + +import numpy as np +from numpy.core import arange +from numpy.testing import assert_, assert_equal, assert_raises_regex +from numpy.lib import deprecate, deprecate_with_doc +import numpy.lib.utils as utils + +from io import StringIO + + +@pytest.mark.skipif(sys.flags.optimize == 2, reason="Python running -OO") +@pytest.mark.skipif( + sys.version_info == (3, 10, 0, "candidate", 1), + reason="Broken as of bpo-44524", +) +def test_lookfor(): + out = StringIO() + utils.lookfor('eigenvalue', module='numpy', output=out, + import_modules=False) + out = out.getvalue() + assert_('numpy.linalg.eig' in out) + + +@deprecate +def old_func(self, x): + return x + + +@deprecate(message="Rather use new_func2") +def old_func2(self, x): + return x + + +def old_func3(self, x): + return x +new_func3 = deprecate(old_func3, old_name="old_func3", new_name="new_func3") + + +def old_func4(self, x): + """Summary. + + Further info. + """ + return x +new_func4 = deprecate(old_func4) + + +def old_func5(self, x): + """Summary. + + Bizarre indentation. + """ + return x +new_func5 = deprecate(old_func5, message="This function is\ndeprecated.") + + +def old_func6(self, x): + """ + Also in PEP-257. + """ + return x +new_func6 = deprecate(old_func6) + + +@deprecate_with_doc(msg="Rather use new_func7") +def old_func7(self,x): + return x + + +def test_deprecate_decorator(): + assert_('deprecated' in old_func.__doc__) + + +def test_deprecate_decorator_message(): + assert_('Rather use new_func2' in old_func2.__doc__) + + +def test_deprecate_fn(): + assert_('old_func3' in new_func3.__doc__) + assert_('new_func3' in new_func3.__doc__) + + +def test_deprecate_with_doc_decorator_message(): + assert_('Rather use new_func7' in old_func7.__doc__) + + +@pytest.mark.skipif(sys.flags.optimize == 2, reason="-OO discards docstrings") +@pytest.mark.parametrize('old_func, new_func', [ + (old_func4, new_func4), + (old_func5, new_func5), + (old_func6, new_func6), +]) +def test_deprecate_help_indentation(old_func, new_func): + _compare_docs(old_func, new_func) + # Ensure we don't mess up the indentation + for knd, func in (('old', old_func), ('new', new_func)): + for li, line in enumerate(func.__doc__.split('\n')): + if li == 0: + assert line.startswith(' ') or not line.startswith(' '), knd + elif line: + assert line.startswith(' '), knd + + +def _compare_docs(old_func, new_func): + old_doc = inspect.getdoc(old_func) + new_doc = inspect.getdoc(new_func) + index = new_doc.index('\n\n') + 2 + assert_equal(new_doc[index:], old_doc) + + +@pytest.mark.skipif(sys.flags.optimize == 2, reason="-OO discards docstrings") +def test_deprecate_preserve_whitespace(): + assert_('\n Bizarre' in new_func5.__doc__) + + +def test_deprecate_module(): + assert_(old_func.__module__ == __name__) + + +def test_safe_eval_nameconstant(): + # Test if safe_eval supports Python 3.4 _ast.NameConstant + utils.safe_eval('None') + + +class TestByteBounds: + + def test_byte_bounds(self): + # pointer difference matches size * itemsize + # due to contiguity + a = arange(12).reshape(3, 4) + low, high = utils.byte_bounds(a) + assert_equal(high - low, a.size * a.itemsize) + + def test_unusual_order_positive_stride(self): + a = arange(12).reshape(3, 4) + b = a.T + low, high = utils.byte_bounds(b) + assert_equal(high - low, b.size * b.itemsize) + + def test_unusual_order_negative_stride(self): + a = arange(12).reshape(3, 4) + b = a.T[::-1] + low, high = utils.byte_bounds(b) + assert_equal(high - low, b.size * b.itemsize) + + def test_strided(self): + a = arange(12) + b = a[::2] + low, high = utils.byte_bounds(b) + # the largest pointer address is lost (even numbers only in the + # stride), and compensate addresses for striding by 2 + assert_equal(high - low, b.size * 2 * b.itemsize - b.itemsize) + + +def test_assert_raises_regex_context_manager(): + with assert_raises_regex(ValueError, 'no deprecation warning'): + raise ValueError('no deprecation warning') + + +def test_info_method_heading(): + # info(class) should only print "Methods:" heading if methods exist + + class NoPublicMethods: + pass + + class WithPublicMethods: + def first_method(): + pass + + def _has_method_heading(cls): + out = StringIO() + utils.info(cls, output=out) + return 'Methods:' in out.getvalue() + + assert _has_method_heading(WithPublicMethods) + assert not _has_method_heading(NoPublicMethods) + + +def test_drop_metadata(): + def _compare_dtypes(dt1, dt2): + return np.can_cast(dt1, dt2, casting='no') + + # structured dtype + dt = np.dtype([('l1', [('l2', np.dtype('S8', metadata={'msg': 'toto'}))])], + metadata={'msg': 'titi'}) + dt_m = utils.drop_metadata(dt) + assert _compare_dtypes(dt, dt_m) is True + assert dt_m.metadata is None + assert dt_m['l1'].metadata is None + assert dt_m['l1']['l2'].metadata is None + + # alignement + dt = np.dtype([('x', '= i1.min: + return int8 + if high <= i2.max and low >= i2.min: + return int16 + if high <= i4.max and low >= i4.min: + return int32 + return int64 + + +def _flip_dispatcher(m): + return (m,) + + +@array_function_dispatch(_flip_dispatcher) +def fliplr(m): + """ + Reverse the order of elements along axis 1 (left/right). + + For a 2-D array, this flips the entries in each row in the left/right + direction. Columns are preserved, but appear in a different order than + before. + + Parameters + ---------- + m : array_like + Input array, must be at least 2-D. + + Returns + ------- + f : ndarray + A view of `m` with the columns reversed. Since a view + is returned, this operation is :math:`\\mathcal O(1)`. + + See Also + -------- + flipud : Flip array in the up/down direction. + flip : Flip array in one or more dimensions. + rot90 : Rotate array counterclockwise. + + Notes + ----- + Equivalent to ``m[:,::-1]`` or ``np.flip(m, axis=1)``. + Requires the array to be at least 2-D. + + Examples + -------- + >>> A = np.diag([1.,2.,3.]) + >>> A + array([[1., 0., 0.], + [0., 2., 0.], + [0., 0., 3.]]) + >>> np.fliplr(A) + array([[0., 0., 1.], + [0., 2., 0.], + [3., 0., 0.]]) + + >>> A = np.random.randn(2,3,5) + >>> np.all(np.fliplr(A) == A[:,::-1,...]) + True + + """ + m = asanyarray(m) + if m.ndim < 2: + raise ValueError("Input must be >= 2-d.") + return m[:, ::-1] + + +@array_function_dispatch(_flip_dispatcher) +def flipud(m): + """ + Reverse the order of elements along axis 0 (up/down). + + For a 2-D array, this flips the entries in each column in the up/down + direction. Rows are preserved, but appear in a different order than before. + + Parameters + ---------- + m : array_like + Input array. + + Returns + ------- + out : array_like + A view of `m` with the rows reversed. Since a view is + returned, this operation is :math:`\\mathcal O(1)`. + + See Also + -------- + fliplr : Flip array in the left/right direction. + flip : Flip array in one or more dimensions. + rot90 : Rotate array counterclockwise. + + Notes + ----- + Equivalent to ``m[::-1, ...]`` or ``np.flip(m, axis=0)``. + Requires the array to be at least 1-D. + + Examples + -------- + >>> A = np.diag([1.0, 2, 3]) + >>> A + array([[1., 0., 0.], + [0., 2., 0.], + [0., 0., 3.]]) + >>> np.flipud(A) + array([[0., 0., 3.], + [0., 2., 0.], + [1., 0., 0.]]) + + >>> A = np.random.randn(2,3,5) + >>> np.all(np.flipud(A) == A[::-1,...]) + True + + >>> np.flipud([1,2]) + array([2, 1]) + + """ + m = asanyarray(m) + if m.ndim < 1: + raise ValueError("Input must be >= 1-d.") + return m[::-1, ...] + + +@set_array_function_like_doc +@set_module('numpy') +def eye(N, M=None, k=0, dtype=float, order='C', *, like=None): + """ + Return a 2-D array with ones on the diagonal and zeros elsewhere. + + Parameters + ---------- + N : int + Number of rows in the output. + M : int, optional + Number of columns in the output. If None, defaults to `N`. + k : int, optional + Index of the diagonal: 0 (the default) refers to the main diagonal, + a positive value refers to an upper diagonal, and a negative value + to a lower diagonal. + dtype : data-type, optional + Data-type of the returned array. + order : {'C', 'F'}, optional + Whether the output should be stored in row-major (C-style) or + column-major (Fortran-style) order in memory. + + .. versionadded:: 1.14.0 + ${ARRAY_FUNCTION_LIKE} + + .. versionadded:: 1.20.0 + + Returns + ------- + I : ndarray of shape (N,M) + An array where all elements are equal to zero, except for the `k`-th + diagonal, whose values are equal to one. + + See Also + -------- + identity : (almost) equivalent function + diag : diagonal 2-D array from a 1-D array specified by the user. + + Examples + -------- + >>> np.eye(2, dtype=int) + array([[1, 0], + [0, 1]]) + >>> np.eye(3, k=1) + array([[0., 1., 0.], + [0., 0., 1.], + [0., 0., 0.]]) + + """ + if like is not None: + return _eye_with_like(like, N, M=M, k=k, dtype=dtype, order=order) + if M is None: + M = N + m = zeros((N, M), dtype=dtype, order=order) + if k >= M: + return m + # Ensure M and k are integers, so we don't get any surprise casting + # results in the expressions `M-k` and `M+1` used below. This avoids + # a problem with inputs with type (for example) np.uint64. + M = operator.index(M) + k = operator.index(k) + if k >= 0: + i = k + else: + i = (-k) * M + m[:M-k].flat[i::M+1] = 1 + return m + + +_eye_with_like = array_function_dispatch()(eye) + + +def _diag_dispatcher(v, k=None): + return (v,) + + +@array_function_dispatch(_diag_dispatcher) +def diag(v, k=0): + """ + Extract a diagonal or construct a diagonal array. + + See the more detailed documentation for ``numpy.diagonal`` if you use this + function to extract a diagonal and wish to write to the resulting array; + whether it returns a copy or a view depends on what version of numpy you + are using. + + Parameters + ---------- + v : array_like + If `v` is a 2-D array, return a copy of its `k`-th diagonal. + If `v` is a 1-D array, return a 2-D array with `v` on the `k`-th + diagonal. + k : int, optional + Diagonal in question. The default is 0. Use `k>0` for diagonals + above the main diagonal, and `k<0` for diagonals below the main + diagonal. + + Returns + ------- + out : ndarray + The extracted diagonal or constructed diagonal array. + + See Also + -------- + diagonal : Return specified diagonals. + diagflat : Create a 2-D array with the flattened input as a diagonal. + trace : Sum along diagonals. + triu : Upper triangle of an array. + tril : Lower triangle of an array. + + Examples + -------- + >>> x = np.arange(9).reshape((3,3)) + >>> x + array([[0, 1, 2], + [3, 4, 5], + [6, 7, 8]]) + + >>> np.diag(x) + array([0, 4, 8]) + >>> np.diag(x, k=1) + array([1, 5]) + >>> np.diag(x, k=-1) + array([3, 7]) + + >>> np.diag(np.diag(x)) + array([[0, 0, 0], + [0, 4, 0], + [0, 0, 8]]) + + """ + v = asanyarray(v) + s = v.shape + if len(s) == 1: + n = s[0]+abs(k) + res = zeros((n, n), v.dtype) + if k >= 0: + i = k + else: + i = (-k) * n + res[:n-k].flat[i::n+1] = v + return res + elif len(s) == 2: + return diagonal(v, k) + else: + raise ValueError("Input must be 1- or 2-d.") + + +@array_function_dispatch(_diag_dispatcher) +def diagflat(v, k=0): + """ + Create a two-dimensional array with the flattened input as a diagonal. + + Parameters + ---------- + v : array_like + Input data, which is flattened and set as the `k`-th + diagonal of the output. + k : int, optional + Diagonal to set; 0, the default, corresponds to the "main" diagonal, + a positive (negative) `k` giving the number of the diagonal above + (below) the main. + + Returns + ------- + out : ndarray + The 2-D output array. + + See Also + -------- + diag : MATLAB work-alike for 1-D and 2-D arrays. + diagonal : Return specified diagonals. + trace : Sum along diagonals. + + Examples + -------- + >>> np.diagflat([[1,2], [3,4]]) + array([[1, 0, 0, 0], + [0, 2, 0, 0], + [0, 0, 3, 0], + [0, 0, 0, 4]]) + + >>> np.diagflat([1,2], 1) + array([[0, 1, 0], + [0, 0, 2], + [0, 0, 0]]) + + """ + try: + wrap = v.__array_wrap__ + except AttributeError: + wrap = None + v = asarray(v).ravel() + s = len(v) + n = s + abs(k) + res = zeros((n, n), v.dtype) + if (k >= 0): + i = arange(0, n-k, dtype=intp) + fi = i+k+i*n + else: + i = arange(0, n+k, dtype=intp) + fi = i+(i-k)*n + res.flat[fi] = v + if not wrap: + return res + return wrap(res) + + +@set_array_function_like_doc +@set_module('numpy') +def tri(N, M=None, k=0, dtype=float, *, like=None): + """ + An array with ones at and below the given diagonal and zeros elsewhere. + + Parameters + ---------- + N : int + Number of rows in the array. + M : int, optional + Number of columns in the array. + By default, `M` is taken equal to `N`. + k : int, optional + The sub-diagonal at and below which the array is filled. + `k` = 0 is the main diagonal, while `k` < 0 is below it, + and `k` > 0 is above. The default is 0. + dtype : dtype, optional + Data type of the returned array. The default is float. + ${ARRAY_FUNCTION_LIKE} + + .. versionadded:: 1.20.0 + + Returns + ------- + tri : ndarray of shape (N, M) + Array with its lower triangle filled with ones and zero elsewhere; + in other words ``T[i,j] == 1`` for ``j <= i + k``, 0 otherwise. + + Examples + -------- + >>> np.tri(3, 5, 2, dtype=int) + array([[1, 1, 1, 0, 0], + [1, 1, 1, 1, 0], + [1, 1, 1, 1, 1]]) + + >>> np.tri(3, 5, -1) + array([[0., 0., 0., 0., 0.], + [1., 0., 0., 0., 0.], + [1., 1., 0., 0., 0.]]) + + """ + if like is not None: + return _tri_with_like(like, N, M=M, k=k, dtype=dtype) + + if M is None: + M = N + + m = greater_equal.outer(arange(N, dtype=_min_int(0, N)), + arange(-k, M-k, dtype=_min_int(-k, M - k))) + + # Avoid making a copy if the requested type is already bool + m = m.astype(dtype, copy=False) + + return m + + +_tri_with_like = array_function_dispatch()(tri) + + +def _trilu_dispatcher(m, k=None): + return (m,) + + +@array_function_dispatch(_trilu_dispatcher) +def tril(m, k=0): + """ + Lower triangle of an array. + + Return a copy of an array with elements above the `k`-th diagonal zeroed. + For arrays with ``ndim`` exceeding 2, `tril` will apply to the final two + axes. + + Parameters + ---------- + m : array_like, shape (..., M, N) + Input array. + k : int, optional + Diagonal above which to zero elements. `k = 0` (the default) is the + main diagonal, `k < 0` is below it and `k > 0` is above. + + Returns + ------- + tril : ndarray, shape (..., M, N) + Lower triangle of `m`, of same shape and data-type as `m`. + + See Also + -------- + triu : same thing, only for the upper triangle + + Examples + -------- + >>> np.tril([[1,2,3],[4,5,6],[7,8,9],[10,11,12]], -1) + array([[ 0, 0, 0], + [ 4, 0, 0], + [ 7, 8, 0], + [10, 11, 12]]) + + >>> np.tril(np.arange(3*4*5).reshape(3, 4, 5)) + array([[[ 0, 0, 0, 0, 0], + [ 5, 6, 0, 0, 0], + [10, 11, 12, 0, 0], + [15, 16, 17, 18, 0]], + [[20, 0, 0, 0, 0], + [25, 26, 0, 0, 0], + [30, 31, 32, 0, 0], + [35, 36, 37, 38, 0]], + [[40, 0, 0, 0, 0], + [45, 46, 0, 0, 0], + [50, 51, 52, 0, 0], + [55, 56, 57, 58, 0]]]) + + """ + m = asanyarray(m) + mask = tri(*m.shape[-2:], k=k, dtype=bool) + + return where(mask, m, zeros(1, m.dtype)) + + +@array_function_dispatch(_trilu_dispatcher) +def triu(m, k=0): + """ + Upper triangle of an array. + + Return a copy of an array with the elements below the `k`-th diagonal + zeroed. For arrays with ``ndim`` exceeding 2, `triu` will apply to the + final two axes. + + Please refer to the documentation for `tril` for further details. + + See Also + -------- + tril : lower triangle of an array + + Examples + -------- + >>> np.triu([[1,2,3],[4,5,6],[7,8,9],[10,11,12]], -1) + array([[ 1, 2, 3], + [ 4, 5, 6], + [ 0, 8, 9], + [ 0, 0, 12]]) + + >>> np.triu(np.arange(3*4*5).reshape(3, 4, 5)) + array([[[ 0, 1, 2, 3, 4], + [ 0, 6, 7, 8, 9], + [ 0, 0, 12, 13, 14], + [ 0, 0, 0, 18, 19]], + [[20, 21, 22, 23, 24], + [ 0, 26, 27, 28, 29], + [ 0, 0, 32, 33, 34], + [ 0, 0, 0, 38, 39]], + [[40, 41, 42, 43, 44], + [ 0, 46, 47, 48, 49], + [ 0, 0, 52, 53, 54], + [ 0, 0, 0, 58, 59]]]) + + """ + m = asanyarray(m) + mask = tri(*m.shape[-2:], k=k-1, dtype=bool) + + return where(mask, zeros(1, m.dtype), m) + + +def _vander_dispatcher(x, N=None, increasing=None): + return (x,) + + +# Originally borrowed from John Hunter and matplotlib +@array_function_dispatch(_vander_dispatcher) +def vander(x, N=None, increasing=False): + """ + Generate a Vandermonde matrix. + + The columns of the output matrix are powers of the input vector. The + order of the powers is determined by the `increasing` boolean argument. + Specifically, when `increasing` is False, the `i`-th output column is + the input vector raised element-wise to the power of ``N - i - 1``. Such + a matrix with a geometric progression in each row is named for Alexandre- + Theophile Vandermonde. + + Parameters + ---------- + x : array_like + 1-D input array. + N : int, optional + Number of columns in the output. If `N` is not specified, a square + array is returned (``N = len(x)``). + increasing : bool, optional + Order of the powers of the columns. If True, the powers increase + from left to right, if False (the default) they are reversed. + + .. versionadded:: 1.9.0 + + Returns + ------- + out : ndarray + Vandermonde matrix. If `increasing` is False, the first column is + ``x^(N-1)``, the second ``x^(N-2)`` and so forth. If `increasing` is + True, the columns are ``x^0, x^1, ..., x^(N-1)``. + + See Also + -------- + polynomial.polynomial.polyvander + + Examples + -------- + >>> x = np.array([1, 2, 3, 5]) + >>> N = 3 + >>> np.vander(x, N) + array([[ 1, 1, 1], + [ 4, 2, 1], + [ 9, 3, 1], + [25, 5, 1]]) + + >>> np.column_stack([x**(N-1-i) for i in range(N)]) + array([[ 1, 1, 1], + [ 4, 2, 1], + [ 9, 3, 1], + [25, 5, 1]]) + + >>> x = np.array([1, 2, 3, 5]) + >>> np.vander(x) + array([[ 1, 1, 1, 1], + [ 8, 4, 2, 1], + [ 27, 9, 3, 1], + [125, 25, 5, 1]]) + >>> np.vander(x, increasing=True) + array([[ 1, 1, 1, 1], + [ 1, 2, 4, 8], + [ 1, 3, 9, 27], + [ 1, 5, 25, 125]]) + + The determinant of a square Vandermonde matrix is the product + of the differences between the values of the input vector: + + >>> np.linalg.det(np.vander(x)) + 48.000000000000043 # may vary + >>> (5-3)*(5-2)*(5-1)*(3-2)*(3-1)*(2-1) + 48 + + """ + x = asarray(x) + if x.ndim != 1: + raise ValueError("x must be a one-dimensional array or sequence.") + if N is None: + N = len(x) + + v = empty((len(x), N), dtype=promote_types(x.dtype, int)) + tmp = v[:, ::-1] if not increasing else v + + if N > 0: + tmp[:, 0] = 1 + if N > 1: + tmp[:, 1:] = x[:, None] + multiply.accumulate(tmp[:, 1:], out=tmp[:, 1:], axis=1) + + return v + + +def _histogram2d_dispatcher(x, y, bins=None, range=None, density=None, + weights=None): + yield x + yield y + + # This terrible logic is adapted from the checks in histogram2d + try: + N = len(bins) + except TypeError: + N = 1 + if N == 2: + yield from bins # bins=[x, y] + else: + yield bins + + yield weights + + +@array_function_dispatch(_histogram2d_dispatcher) +def histogram2d(x, y, bins=10, range=None, density=None, weights=None): + """ + Compute the bi-dimensional histogram of two data samples. + + Parameters + ---------- + x : array_like, shape (N,) + An array containing the x coordinates of the points to be + histogrammed. + y : array_like, shape (N,) + An array containing the y coordinates of the points to be + histogrammed. + bins : int or array_like or [int, int] or [array, array], optional + The bin specification: + + * If int, the number of bins for the two dimensions (nx=ny=bins). + * If array_like, the bin edges for the two dimensions + (x_edges=y_edges=bins). + * If [int, int], the number of bins in each dimension + (nx, ny = bins). + * If [array, array], the bin edges in each dimension + (x_edges, y_edges = bins). + * A combination [int, array] or [array, int], where int + is the number of bins and array is the bin edges. + + range : array_like, shape(2,2), optional + The leftmost and rightmost edges of the bins along each dimension + (if not specified explicitly in the `bins` parameters): + ``[[xmin, xmax], [ymin, ymax]]``. All values outside of this range + will be considered outliers and not tallied in the histogram. + density : bool, optional + If False, the default, returns the number of samples in each bin. + If True, returns the probability *density* function at the bin, + ``bin_count / sample_count / bin_area``. + weights : array_like, shape(N,), optional + An array of values ``w_i`` weighing each sample ``(x_i, y_i)``. + Weights are normalized to 1 if `density` is True. If `density` is + False, the values of the returned histogram are equal to the sum of + the weights belonging to the samples falling into each bin. + + Returns + ------- + H : ndarray, shape(nx, ny) + The bi-dimensional histogram of samples `x` and `y`. Values in `x` + are histogrammed along the first dimension and values in `y` are + histogrammed along the second dimension. + xedges : ndarray, shape(nx+1,) + The bin edges along the first dimension. + yedges : ndarray, shape(ny+1,) + The bin edges along the second dimension. + + See Also + -------- + histogram : 1D histogram + histogramdd : Multidimensional histogram + + Notes + ----- + When `density` is True, then the returned histogram is the sample + density, defined such that the sum over bins of the product + ``bin_value * bin_area`` is 1. + + Please note that the histogram does not follow the Cartesian convention + where `x` values are on the abscissa and `y` values on the ordinate + axis. Rather, `x` is histogrammed along the first dimension of the + array (vertical), and `y` along the second dimension of the array + (horizontal). This ensures compatibility with `histogramdd`. + + Examples + -------- + >>> from matplotlib.image import NonUniformImage + >>> import matplotlib.pyplot as plt + + Construct a 2-D histogram with variable bin width. First define the bin + edges: + + >>> xedges = [0, 1, 3, 5] + >>> yedges = [0, 2, 3, 4, 6] + + Next we create a histogram H with random bin content: + + >>> x = np.random.normal(2, 1, 100) + >>> y = np.random.normal(1, 1, 100) + >>> H, xedges, yedges = np.histogram2d(x, y, bins=(xedges, yedges)) + >>> # Histogram does not follow Cartesian convention (see Notes), + >>> # therefore transpose H for visualization purposes. + >>> H = H.T + + :func:`imshow ` can only display square bins: + + >>> fig = plt.figure(figsize=(7, 3)) + >>> ax = fig.add_subplot(131, title='imshow: square bins') + >>> plt.imshow(H, interpolation='nearest', origin='lower', + ... extent=[xedges[0], xedges[-1], yedges[0], yedges[-1]]) + + + :func:`pcolormesh ` can display actual edges: + + >>> ax = fig.add_subplot(132, title='pcolormesh: actual edges', + ... aspect='equal') + >>> X, Y = np.meshgrid(xedges, yedges) + >>> ax.pcolormesh(X, Y, H) + + + :class:`NonUniformImage ` can be used to + display actual bin edges with interpolation: + + >>> ax = fig.add_subplot(133, title='NonUniformImage: interpolated', + ... aspect='equal', xlim=xedges[[0, -1]], ylim=yedges[[0, -1]]) + >>> im = NonUniformImage(ax, interpolation='bilinear') + >>> xcenters = (xedges[:-1] + xedges[1:]) / 2 + >>> ycenters = (yedges[:-1] + yedges[1:]) / 2 + >>> im.set_data(xcenters, ycenters, H) + >>> ax.add_image(im) + >>> plt.show() + + It is also possible to construct a 2-D histogram without specifying bin + edges: + + >>> # Generate non-symmetric test data + >>> n = 10000 + >>> x = np.linspace(1, 100, n) + >>> y = 2*np.log(x) + np.random.rand(n) - 0.5 + >>> # Compute 2d histogram. Note the order of x/y and xedges/yedges + >>> H, yedges, xedges = np.histogram2d(y, x, bins=20) + + Now we can plot the histogram using + :func:`pcolormesh `, and a + :func:`hexbin ` for comparison. + + >>> # Plot histogram using pcolormesh + >>> fig, (ax1, ax2) = plt.subplots(ncols=2, sharey=True) + >>> ax1.pcolormesh(xedges, yedges, H, cmap='rainbow') + >>> ax1.plot(x, 2*np.log(x), 'k-') + >>> ax1.set_xlim(x.min(), x.max()) + >>> ax1.set_ylim(y.min(), y.max()) + >>> ax1.set_xlabel('x') + >>> ax1.set_ylabel('y') + >>> ax1.set_title('histogram2d') + >>> ax1.grid() + + >>> # Create hexbin plot for comparison + >>> ax2.hexbin(x, y, gridsize=20, cmap='rainbow') + >>> ax2.plot(x, 2*np.log(x), 'k-') + >>> ax2.set_title('hexbin') + >>> ax2.set_xlim(x.min(), x.max()) + >>> ax2.set_xlabel('x') + >>> ax2.grid() + + >>> plt.show() + """ + from numpy import histogramdd + + if len(x) != len(y): + raise ValueError('x and y must have the same length.') + + try: + N = len(bins) + except TypeError: + N = 1 + + if N != 1 and N != 2: + xedges = yedges = asarray(bins) + bins = [xedges, yedges] + hist, edges = histogramdd([x, y], bins, range, density, weights) + return hist, edges[0], edges[1] + + +@set_module('numpy') +def mask_indices(n, mask_func, k=0): + """ + Return the indices to access (n, n) arrays, given a masking function. + + Assume `mask_func` is a function that, for a square array a of size + ``(n, n)`` with a possible offset argument `k`, when called as + ``mask_func(a, k)`` returns a new array with zeros in certain locations + (functions like `triu` or `tril` do precisely this). Then this function + returns the indices where the non-zero values would be located. + + Parameters + ---------- + n : int + The returned indices will be valid to access arrays of shape (n, n). + mask_func : callable + A function whose call signature is similar to that of `triu`, `tril`. + That is, ``mask_func(x, k)`` returns a boolean array, shaped like `x`. + `k` is an optional argument to the function. + k : scalar + An optional argument which is passed through to `mask_func`. Functions + like `triu`, `tril` take a second argument that is interpreted as an + offset. + + Returns + ------- + indices : tuple of arrays. + The `n` arrays of indices corresponding to the locations where + ``mask_func(np.ones((n, n)), k)`` is True. + + See Also + -------- + triu, tril, triu_indices, tril_indices + + Notes + ----- + .. versionadded:: 1.4.0 + + Examples + -------- + These are the indices that would allow you to access the upper triangular + part of any 3x3 array: + + >>> iu = np.mask_indices(3, np.triu) + + For example, if `a` is a 3x3 array: + + >>> a = np.arange(9).reshape(3, 3) + >>> a + array([[0, 1, 2], + [3, 4, 5], + [6, 7, 8]]) + >>> a[iu] + array([0, 1, 2, 4, 5, 8]) + + An offset can be passed also to the masking function. This gets us the + indices starting on the first diagonal right of the main one: + + >>> iu1 = np.mask_indices(3, np.triu, 1) + + with which we now extract only three elements: + + >>> a[iu1] + array([1, 2, 5]) + + """ + m = ones((n, n), int) + a = mask_func(m, k) + return nonzero(a != 0) + + +@set_module('numpy') +def tril_indices(n, k=0, m=None): + """ + Return the indices for the lower-triangle of an (n, m) array. + + Parameters + ---------- + n : int + The row dimension of the arrays for which the returned + indices will be valid. + k : int, optional + Diagonal offset (see `tril` for details). + m : int, optional + .. versionadded:: 1.9.0 + + The column dimension of the arrays for which the returned + arrays will be valid. + By default `m` is taken equal to `n`. + + + Returns + ------- + inds : tuple of arrays + The indices for the triangle. The returned tuple contains two arrays, + each with the indices along one dimension of the array. + + See also + -------- + triu_indices : similar function, for upper-triangular. + mask_indices : generic function accepting an arbitrary mask function. + tril, triu + + Notes + ----- + .. versionadded:: 1.4.0 + + Examples + -------- + Compute two different sets of indices to access 4x4 arrays, one for the + lower triangular part starting at the main diagonal, and one starting two + diagonals further right: + + >>> il1 = np.tril_indices(4) + >>> il2 = np.tril_indices(4, 2) + + Here is how they can be used with a sample array: + + >>> a = np.arange(16).reshape(4, 4) + >>> a + array([[ 0, 1, 2, 3], + [ 4, 5, 6, 7], + [ 8, 9, 10, 11], + [12, 13, 14, 15]]) + + Both for indexing: + + >>> a[il1] + array([ 0, 4, 5, ..., 13, 14, 15]) + + And for assigning values: + + >>> a[il1] = -1 + >>> a + array([[-1, 1, 2, 3], + [-1, -1, 6, 7], + [-1, -1, -1, 11], + [-1, -1, -1, -1]]) + + These cover almost the whole array (two diagonals right of the main one): + + >>> a[il2] = -10 + >>> a + array([[-10, -10, -10, 3], + [-10, -10, -10, -10], + [-10, -10, -10, -10], + [-10, -10, -10, -10]]) + + """ + tri_ = tri(n, m, k=k, dtype=bool) + + return tuple(broadcast_to(inds, tri_.shape)[tri_] + for inds in indices(tri_.shape, sparse=True)) + + +def _trilu_indices_form_dispatcher(arr, k=None): + return (arr,) + + +@array_function_dispatch(_trilu_indices_form_dispatcher) +def tril_indices_from(arr, k=0): + """ + Return the indices for the lower-triangle of arr. + + See `tril_indices` for full details. + + Parameters + ---------- + arr : array_like + The indices will be valid for square arrays whose dimensions are + the same as arr. + k : int, optional + Diagonal offset (see `tril` for details). + + Examples + -------- + + Create a 4 by 4 array. + + >>> a = np.arange(16).reshape(4, 4) + >>> a + array([[ 0, 1, 2, 3], + [ 4, 5, 6, 7], + [ 8, 9, 10, 11], + [12, 13, 14, 15]]) + + Pass the array to get the indices of the lower triangular elements. + + >>> trili = np.tril_indices_from(a) + >>> trili + (array([0, 1, 1, 2, 2, 2, 3, 3, 3, 3]), array([0, 0, 1, 0, 1, 2, 0, 1, 2, 3])) + + >>> a[trili] + array([ 0, 4, 5, 8, 9, 10, 12, 13, 14, 15]) + + This is syntactic sugar for tril_indices(). + + >>> np.tril_indices(a.shape[0]) + (array([0, 1, 1, 2, 2, 2, 3, 3, 3, 3]), array([0, 0, 1, 0, 1, 2, 0, 1, 2, 3])) + + Use the `k` parameter to return the indices for the lower triangular array + up to the k-th diagonal. + + >>> trili1 = np.tril_indices_from(a, k=1) + >>> a[trili1] + array([ 0, 1, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15]) + + See Also + -------- + tril_indices, tril, triu_indices_from + + Notes + ----- + .. versionadded:: 1.4.0 + + """ + if arr.ndim != 2: + raise ValueError("input array must be 2-d") + return tril_indices(arr.shape[-2], k=k, m=arr.shape[-1]) + + +@set_module('numpy') +def triu_indices(n, k=0, m=None): + """ + Return the indices for the upper-triangle of an (n, m) array. + + Parameters + ---------- + n : int + The size of the arrays for which the returned indices will + be valid. + k : int, optional + Diagonal offset (see `triu` for details). + m : int, optional + .. versionadded:: 1.9.0 + + The column dimension of the arrays for which the returned + arrays will be valid. + By default `m` is taken equal to `n`. + + + Returns + ------- + inds : tuple, shape(2) of ndarrays, shape(`n`) + The indices for the triangle. The returned tuple contains two arrays, + each with the indices along one dimension of the array. Can be used + to slice a ndarray of shape(`n`, `n`). + + See also + -------- + tril_indices : similar function, for lower-triangular. + mask_indices : generic function accepting an arbitrary mask function. + triu, tril + + Notes + ----- + .. versionadded:: 1.4.0 + + Examples + -------- + Compute two different sets of indices to access 4x4 arrays, one for the + upper triangular part starting at the main diagonal, and one starting two + diagonals further right: + + >>> iu1 = np.triu_indices(4) + >>> iu2 = np.triu_indices(4, 2) + + Here is how they can be used with a sample array: + + >>> a = np.arange(16).reshape(4, 4) + >>> a + array([[ 0, 1, 2, 3], + [ 4, 5, 6, 7], + [ 8, 9, 10, 11], + [12, 13, 14, 15]]) + + Both for indexing: + + >>> a[iu1] + array([ 0, 1, 2, ..., 10, 11, 15]) + + And for assigning values: + + >>> a[iu1] = -1 + >>> a + array([[-1, -1, -1, -1], + [ 4, -1, -1, -1], + [ 8, 9, -1, -1], + [12, 13, 14, -1]]) + + These cover only a small part of the whole array (two diagonals right + of the main one): + + >>> a[iu2] = -10 + >>> a + array([[ -1, -1, -10, -10], + [ 4, -1, -1, -10], + [ 8, 9, -1, -1], + [ 12, 13, 14, -1]]) + + """ + tri_ = ~tri(n, m, k=k - 1, dtype=bool) + + return tuple(broadcast_to(inds, tri_.shape)[tri_] + for inds in indices(tri_.shape, sparse=True)) + + +@array_function_dispatch(_trilu_indices_form_dispatcher) +def triu_indices_from(arr, k=0): + """ + Return the indices for the upper-triangle of arr. + + See `triu_indices` for full details. + + Parameters + ---------- + arr : ndarray, shape(N, N) + The indices will be valid for square arrays. + k : int, optional + Diagonal offset (see `triu` for details). + + Returns + ------- + triu_indices_from : tuple, shape(2) of ndarray, shape(N) + Indices for the upper-triangle of `arr`. + + Examples + -------- + + Create a 4 by 4 array. + + >>> a = np.arange(16).reshape(4, 4) + >>> a + array([[ 0, 1, 2, 3], + [ 4, 5, 6, 7], + [ 8, 9, 10, 11], + [12, 13, 14, 15]]) + + Pass the array to get the indices of the upper triangular elements. + + >>> triui = np.triu_indices_from(a) + >>> triui + (array([0, 0, 0, 0, 1, 1, 1, 2, 2, 3]), array([0, 1, 2, 3, 1, 2, 3, 2, 3, 3])) + + >>> a[triui] + array([ 0, 1, 2, 3, 5, 6, 7, 10, 11, 15]) + + This is syntactic sugar for triu_indices(). + + >>> np.triu_indices(a.shape[0]) + (array([0, 0, 0, 0, 1, 1, 1, 2, 2, 3]), array([0, 1, 2, 3, 1, 2, 3, 2, 3, 3])) + + Use the `k` parameter to return the indices for the upper triangular array + from the k-th diagonal. + + >>> triuim1 = np.triu_indices_from(a, k=1) + >>> a[triuim1] + array([ 1, 2, 3, 6, 7, 11]) + + + See Also + -------- + triu_indices, triu, tril_indices_from + + Notes + ----- + .. versionadded:: 1.4.0 + + """ + if arr.ndim != 2: + raise ValueError("input array must be 2-d") + return triu_indices(arr.shape[-2], k=k, m=arr.shape[-1]) diff --git a/lib/python3.12/site-packages/numpy/lib/twodim_base.pyi b/lib/python3.12/site-packages/numpy/lib/twodim_base.pyi new file mode 100644 index 0000000000000000000000000000000000000000..1b3b94bd5cba589f3d16c7e9a66ab261f0bd97cf --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/twodim_base.pyi @@ -0,0 +1,239 @@ +from collections.abc import Callable, Sequence +from typing import ( + Any, + overload, + TypeVar, + Union, +) + +from numpy import ( + generic, + number, + bool_, + timedelta64, + datetime64, + int_, + intp, + float64, + signedinteger, + floating, + complexfloating, + object_, + _OrderCF, +) + +from numpy._typing import ( + DTypeLike, + _DTypeLike, + ArrayLike, + _ArrayLike, + NDArray, + _SupportsArrayFunc, + _ArrayLikeInt_co, + _ArrayLikeFloat_co, + _ArrayLikeComplex_co, + _ArrayLikeObject_co, +) + +_T = TypeVar("_T") +_SCT = TypeVar("_SCT", bound=generic) + +# The returned arrays dtype must be compatible with `np.equal` +_MaskFunc = Callable[ + [NDArray[int_], _T], + NDArray[Union[number[Any], bool_, timedelta64, datetime64, object_]], +] + +__all__: list[str] + +@overload +def fliplr(m: _ArrayLike[_SCT]) -> NDArray[_SCT]: ... +@overload +def fliplr(m: ArrayLike) -> NDArray[Any]: ... + +@overload +def flipud(m: _ArrayLike[_SCT]) -> NDArray[_SCT]: ... +@overload +def flipud(m: ArrayLike) -> NDArray[Any]: ... + +@overload +def eye( + N: int, + M: None | int = ..., + k: int = ..., + dtype: None = ..., + order: _OrderCF = ..., + *, + like: None | _SupportsArrayFunc = ..., +) -> NDArray[float64]: ... +@overload +def eye( + N: int, + M: None | int = ..., + k: int = ..., + dtype: _DTypeLike[_SCT] = ..., + order: _OrderCF = ..., + *, + like: None | _SupportsArrayFunc = ..., +) -> NDArray[_SCT]: ... +@overload +def eye( + N: int, + M: None | int = ..., + k: int = ..., + dtype: DTypeLike = ..., + order: _OrderCF = ..., + *, + like: None | _SupportsArrayFunc = ..., +) -> NDArray[Any]: ... + +@overload +def diag(v: _ArrayLike[_SCT], k: int = ...) -> NDArray[_SCT]: ... +@overload +def diag(v: ArrayLike, k: int = ...) -> NDArray[Any]: ... + +@overload +def diagflat(v: _ArrayLike[_SCT], k: int = ...) -> NDArray[_SCT]: ... +@overload +def diagflat(v: ArrayLike, k: int = ...) -> NDArray[Any]: ... + +@overload +def tri( + N: int, + M: None | int = ..., + k: int = ..., + dtype: None = ..., + *, + like: None | _SupportsArrayFunc = ... +) -> NDArray[float64]: ... +@overload +def tri( + N: int, + M: None | int = ..., + k: int = ..., + dtype: _DTypeLike[_SCT] = ..., + *, + like: None | _SupportsArrayFunc = ... +) -> NDArray[_SCT]: ... +@overload +def tri( + N: int, + M: None | int = ..., + k: int = ..., + dtype: DTypeLike = ..., + *, + like: None | _SupportsArrayFunc = ... +) -> NDArray[Any]: ... + +@overload +def tril(v: _ArrayLike[_SCT], k: int = ...) -> NDArray[_SCT]: ... +@overload +def tril(v: ArrayLike, k: int = ...) -> NDArray[Any]: ... + +@overload +def triu(v: _ArrayLike[_SCT], k: int = ...) -> NDArray[_SCT]: ... +@overload +def triu(v: ArrayLike, k: int = ...) -> NDArray[Any]: ... + +@overload +def vander( # type: ignore[misc] + x: _ArrayLikeInt_co, + N: None | int = ..., + increasing: bool = ..., +) -> NDArray[signedinteger[Any]]: ... +@overload +def vander( # type: ignore[misc] + x: _ArrayLikeFloat_co, + N: None | int = ..., + increasing: bool = ..., +) -> NDArray[floating[Any]]: ... +@overload +def vander( + x: _ArrayLikeComplex_co, + N: None | int = ..., + increasing: bool = ..., +) -> NDArray[complexfloating[Any, Any]]: ... +@overload +def vander( + x: _ArrayLikeObject_co, + N: None | int = ..., + increasing: bool = ..., +) -> NDArray[object_]: ... + +@overload +def histogram2d( # type: ignore[misc] + x: _ArrayLikeFloat_co, + y: _ArrayLikeFloat_co, + bins: int | Sequence[int] = ..., + range: None | _ArrayLikeFloat_co = ..., + density: None | bool = ..., + weights: None | _ArrayLikeFloat_co = ..., +) -> tuple[ + NDArray[float64], + NDArray[floating[Any]], + NDArray[floating[Any]], +]: ... +@overload +def histogram2d( + x: _ArrayLikeComplex_co, + y: _ArrayLikeComplex_co, + bins: int | Sequence[int] = ..., + range: None | _ArrayLikeFloat_co = ..., + density: None | bool = ..., + weights: None | _ArrayLikeFloat_co = ..., +) -> tuple[ + NDArray[float64], + NDArray[complexfloating[Any, Any]], + NDArray[complexfloating[Any, Any]], +]: ... +@overload # TODO: Sort out `bins` +def histogram2d( + x: _ArrayLikeComplex_co, + y: _ArrayLikeComplex_co, + bins: Sequence[_ArrayLikeInt_co], + range: None | _ArrayLikeFloat_co = ..., + density: None | bool = ..., + weights: None | _ArrayLikeFloat_co = ..., +) -> tuple[ + NDArray[float64], + NDArray[Any], + NDArray[Any], +]: ... + +# NOTE: we're assuming/demanding here the `mask_func` returns +# an ndarray of shape `(n, n)`; otherwise there is the possibility +# of the output tuple having more or less than 2 elements +@overload +def mask_indices( + n: int, + mask_func: _MaskFunc[int], + k: int = ..., +) -> tuple[NDArray[intp], NDArray[intp]]: ... +@overload +def mask_indices( + n: int, + mask_func: _MaskFunc[_T], + k: _T, +) -> tuple[NDArray[intp], NDArray[intp]]: ... + +def tril_indices( + n: int, + k: int = ..., + m: None | int = ..., +) -> tuple[NDArray[int_], NDArray[int_]]: ... + +def tril_indices_from( + arr: NDArray[Any], + k: int = ..., +) -> tuple[NDArray[int_], NDArray[int_]]: ... + +def triu_indices( + n: int, + k: int = ..., + m: None | int = ..., +) -> tuple[NDArray[int_], NDArray[int_]]: ... + +def triu_indices_from( + arr: NDArray[Any], + k: int = ..., +) -> tuple[NDArray[int_], NDArray[int_]]: ... diff --git a/lib/python3.12/site-packages/numpy/lib/type_check.py b/lib/python3.12/site-packages/numpy/lib/type_check.py new file mode 100644 index 0000000000000000000000000000000000000000..3f84b80e5860c5bbd9e73790f8a5d21715ab9b6d --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/type_check.py @@ -0,0 +1,735 @@ +"""Automatically adapted for numpy Sep 19, 2005 by convertcode.py + +""" +import functools + +__all__ = ['iscomplexobj', 'isrealobj', 'imag', 'iscomplex', + 'isreal', 'nan_to_num', 'real', 'real_if_close', + 'typename', 'asfarray', 'mintypecode', + 'common_type'] + +from .._utils import set_module +import numpy.core.numeric as _nx +from numpy.core.numeric import asarray, asanyarray, isnan, zeros +from numpy.core import overrides, getlimits +from .ufunclike import isneginf, isposinf + + +array_function_dispatch = functools.partial( + overrides.array_function_dispatch, module='numpy') + + +_typecodes_by_elsize = 'GDFgdfQqLlIiHhBb?' + + +@set_module('numpy') +def mintypecode(typechars, typeset='GDFgdf', default='d'): + """ + Return the character for the minimum-size type to which given types can + be safely cast. + + The returned type character must represent the smallest size dtype such + that an array of the returned type can handle the data from an array of + all types in `typechars` (or if `typechars` is an array, then its + dtype.char). + + Parameters + ---------- + typechars : list of str or array_like + If a list of strings, each string should represent a dtype. + If array_like, the character representation of the array dtype is used. + typeset : str or list of str, optional + The set of characters that the returned character is chosen from. + The default set is 'GDFgdf'. + default : str, optional + The default character, this is returned if none of the characters in + `typechars` matches a character in `typeset`. + + Returns + ------- + typechar : str + The character representing the minimum-size type that was found. + + See Also + -------- + dtype, sctype2char, maximum_sctype + + Examples + -------- + >>> np.mintypecode(['d', 'f', 'S']) + 'd' + >>> x = np.array([1.1, 2-3.j]) + >>> np.mintypecode(x) + 'D' + + >>> np.mintypecode('abceh', default='G') + 'G' + + """ + typecodes = ((isinstance(t, str) and t) or asarray(t).dtype.char + for t in typechars) + intersection = set(t for t in typecodes if t in typeset) + if not intersection: + return default + if 'F' in intersection and 'd' in intersection: + return 'D' + return min(intersection, key=_typecodes_by_elsize.index) + + +def _asfarray_dispatcher(a, dtype=None): + return (a,) + + +@array_function_dispatch(_asfarray_dispatcher) +def asfarray(a, dtype=_nx.float_): + """ + Return an array converted to a float type. + + Parameters + ---------- + a : array_like + The input array. + dtype : str or dtype object, optional + Float type code to coerce input array `a`. If `dtype` is one of the + 'int' dtypes, it is replaced with float64. + + Returns + ------- + out : ndarray + The input `a` as a float ndarray. + + Examples + -------- + >>> np.asfarray([2, 3]) + array([2., 3.]) + >>> np.asfarray([2, 3], dtype='float') + array([2., 3.]) + >>> np.asfarray([2, 3], dtype='int8') + array([2., 3.]) + + """ + if not _nx.issubdtype(dtype, _nx.inexact): + dtype = _nx.float_ + return asarray(a, dtype=dtype) + + +def _real_dispatcher(val): + return (val,) + + +@array_function_dispatch(_real_dispatcher) +def real(val): + """ + Return the real part of the complex argument. + + Parameters + ---------- + val : array_like + Input array. + + Returns + ------- + out : ndarray or scalar + The real component of the complex argument. If `val` is real, the type + of `val` is used for the output. If `val` has complex elements, the + returned type is float. + + See Also + -------- + real_if_close, imag, angle + + Examples + -------- + >>> a = np.array([1+2j, 3+4j, 5+6j]) + >>> a.real + array([1., 3., 5.]) + >>> a.real = 9 + >>> a + array([9.+2.j, 9.+4.j, 9.+6.j]) + >>> a.real = np.array([9, 8, 7]) + >>> a + array([9.+2.j, 8.+4.j, 7.+6.j]) + >>> np.real(1 + 1j) + 1.0 + + """ + try: + return val.real + except AttributeError: + return asanyarray(val).real + + +def _imag_dispatcher(val): + return (val,) + + +@array_function_dispatch(_imag_dispatcher) +def imag(val): + """ + Return the imaginary part of the complex argument. + + Parameters + ---------- + val : array_like + Input array. + + Returns + ------- + out : ndarray or scalar + The imaginary component of the complex argument. If `val` is real, + the type of `val` is used for the output. If `val` has complex + elements, the returned type is float. + + See Also + -------- + real, angle, real_if_close + + Examples + -------- + >>> a = np.array([1+2j, 3+4j, 5+6j]) + >>> a.imag + array([2., 4., 6.]) + >>> a.imag = np.array([8, 10, 12]) + >>> a + array([1. +8.j, 3.+10.j, 5.+12.j]) + >>> np.imag(1 + 1j) + 1.0 + + """ + try: + return val.imag + except AttributeError: + return asanyarray(val).imag + + +def _is_type_dispatcher(x): + return (x,) + + +@array_function_dispatch(_is_type_dispatcher) +def iscomplex(x): + """ + Returns a bool array, where True if input element is complex. + + What is tested is whether the input has a non-zero imaginary part, not if + the input type is complex. + + Parameters + ---------- + x : array_like + Input array. + + Returns + ------- + out : ndarray of bools + Output array. + + See Also + -------- + isreal + iscomplexobj : Return True if x is a complex type or an array of complex + numbers. + + Examples + -------- + >>> np.iscomplex([1+1j, 1+0j, 4.5, 3, 2, 2j]) + array([ True, False, False, False, False, True]) + + """ + ax = asanyarray(x) + if issubclass(ax.dtype.type, _nx.complexfloating): + return ax.imag != 0 + res = zeros(ax.shape, bool) + return res[()] # convert to scalar if needed + + +@array_function_dispatch(_is_type_dispatcher) +def isreal(x): + """ + Returns a bool array, where True if input element is real. + + If element has complex type with zero complex part, the return value + for that element is True. + + Parameters + ---------- + x : array_like + Input array. + + Returns + ------- + out : ndarray, bool + Boolean array of same shape as `x`. + + Notes + ----- + `isreal` may behave unexpectedly for string or object arrays (see examples) + + See Also + -------- + iscomplex + isrealobj : Return True if x is not a complex type. + + Examples + -------- + >>> a = np.array([1+1j, 1+0j, 4.5, 3, 2, 2j], dtype=complex) + >>> np.isreal(a) + array([False, True, True, True, True, False]) + + The function does not work on string arrays. + + >>> a = np.array([2j, "a"], dtype="U") + >>> np.isreal(a) # Warns about non-elementwise comparison + False + + Returns True for all elements in input array of ``dtype=object`` even if + any of the elements is complex. + + >>> a = np.array([1, "2", 3+4j], dtype=object) + >>> np.isreal(a) + array([ True, True, True]) + + isreal should not be used with object arrays + + >>> a = np.array([1+2j, 2+1j], dtype=object) + >>> np.isreal(a) + array([ True, True]) + + """ + return imag(x) == 0 + + +@array_function_dispatch(_is_type_dispatcher) +def iscomplexobj(x): + """ + Check for a complex type or an array of complex numbers. + + The type of the input is checked, not the value. Even if the input + has an imaginary part equal to zero, `iscomplexobj` evaluates to True. + + Parameters + ---------- + x : any + The input can be of any type and shape. + + Returns + ------- + iscomplexobj : bool + The return value, True if `x` is of a complex type or has at least + one complex element. + + See Also + -------- + isrealobj, iscomplex + + Examples + -------- + >>> np.iscomplexobj(1) + False + >>> np.iscomplexobj(1+0j) + True + >>> np.iscomplexobj([3, 1+0j, True]) + True + + """ + try: + dtype = x.dtype + type_ = dtype.type + except AttributeError: + type_ = asarray(x).dtype.type + return issubclass(type_, _nx.complexfloating) + + +@array_function_dispatch(_is_type_dispatcher) +def isrealobj(x): + """ + Return True if x is a not complex type or an array of complex numbers. + + The type of the input is checked, not the value. So even if the input + has an imaginary part equal to zero, `isrealobj` evaluates to False + if the data type is complex. + + Parameters + ---------- + x : any + The input can be of any type and shape. + + Returns + ------- + y : bool + The return value, False if `x` is of a complex type. + + See Also + -------- + iscomplexobj, isreal + + Notes + ----- + The function is only meant for arrays with numerical values but it + accepts all other objects. Since it assumes array input, the return + value of other objects may be True. + + >>> np.isrealobj('A string') + True + >>> np.isrealobj(False) + True + >>> np.isrealobj(None) + True + + Examples + -------- + >>> np.isrealobj(1) + True + >>> np.isrealobj(1+0j) + False + >>> np.isrealobj([3, 1+0j, True]) + False + + """ + return not iscomplexobj(x) + +#----------------------------------------------------------------------------- + +def _getmaxmin(t): + from numpy.core import getlimits + f = getlimits.finfo(t) + return f.max, f.min + + +def _nan_to_num_dispatcher(x, copy=None, nan=None, posinf=None, neginf=None): + return (x,) + + +@array_function_dispatch(_nan_to_num_dispatcher) +def nan_to_num(x, copy=True, nan=0.0, posinf=None, neginf=None): + """ + Replace NaN with zero and infinity with large finite numbers (default + behaviour) or with the numbers defined by the user using the `nan`, + `posinf` and/or `neginf` keywords. + + If `x` is inexact, NaN is replaced by zero or by the user defined value in + `nan` keyword, infinity is replaced by the largest finite floating point + values representable by ``x.dtype`` or by the user defined value in + `posinf` keyword and -infinity is replaced by the most negative finite + floating point values representable by ``x.dtype`` or by the user defined + value in `neginf` keyword. + + For complex dtypes, the above is applied to each of the real and + imaginary components of `x` separately. + + If `x` is not inexact, then no replacements are made. + + Parameters + ---------- + x : scalar or array_like + Input data. + copy : bool, optional + Whether to create a copy of `x` (True) or to replace values + in-place (False). The in-place operation only occurs if + casting to an array does not require a copy. + Default is True. + + .. versionadded:: 1.13 + nan : int, float, optional + Value to be used to fill NaN values. If no value is passed + then NaN values will be replaced with 0.0. + + .. versionadded:: 1.17 + posinf : int, float, optional + Value to be used to fill positive infinity values. If no value is + passed then positive infinity values will be replaced with a very + large number. + + .. versionadded:: 1.17 + neginf : int, float, optional + Value to be used to fill negative infinity values. If no value is + passed then negative infinity values will be replaced with a very + small (or negative) number. + + .. versionadded:: 1.17 + + + + Returns + ------- + out : ndarray + `x`, with the non-finite values replaced. If `copy` is False, this may + be `x` itself. + + See Also + -------- + isinf : Shows which elements are positive or negative infinity. + isneginf : Shows which elements are negative infinity. + isposinf : Shows which elements are positive infinity. + isnan : Shows which elements are Not a Number (NaN). + isfinite : Shows which elements are finite (not NaN, not infinity) + + Notes + ----- + NumPy uses the IEEE Standard for Binary Floating-Point for Arithmetic + (IEEE 754). This means that Not a Number is not equivalent to infinity. + + Examples + -------- + >>> np.nan_to_num(np.inf) + 1.7976931348623157e+308 + >>> np.nan_to_num(-np.inf) + -1.7976931348623157e+308 + >>> np.nan_to_num(np.nan) + 0.0 + >>> x = np.array([np.inf, -np.inf, np.nan, -128, 128]) + >>> np.nan_to_num(x) + array([ 1.79769313e+308, -1.79769313e+308, 0.00000000e+000, # may vary + -1.28000000e+002, 1.28000000e+002]) + >>> np.nan_to_num(x, nan=-9999, posinf=33333333, neginf=33333333) + array([ 3.3333333e+07, 3.3333333e+07, -9.9990000e+03, + -1.2800000e+02, 1.2800000e+02]) + >>> y = np.array([complex(np.inf, np.nan), np.nan, complex(np.nan, np.inf)]) + array([ 1.79769313e+308, -1.79769313e+308, 0.00000000e+000, # may vary + -1.28000000e+002, 1.28000000e+002]) + >>> np.nan_to_num(y) + array([ 1.79769313e+308 +0.00000000e+000j, # may vary + 0.00000000e+000 +0.00000000e+000j, + 0.00000000e+000 +1.79769313e+308j]) + >>> np.nan_to_num(y, nan=111111, posinf=222222) + array([222222.+111111.j, 111111. +0.j, 111111.+222222.j]) + """ + x = _nx.array(x, subok=True, copy=copy) + xtype = x.dtype.type + + isscalar = (x.ndim == 0) + + if not issubclass(xtype, _nx.inexact): + return x[()] if isscalar else x + + iscomplex = issubclass(xtype, _nx.complexfloating) + + dest = (x.real, x.imag) if iscomplex else (x,) + maxf, minf = _getmaxmin(x.real.dtype) + if posinf is not None: + maxf = posinf + if neginf is not None: + minf = neginf + for d in dest: + idx_nan = isnan(d) + idx_posinf = isposinf(d) + idx_neginf = isneginf(d) + _nx.copyto(d, nan, where=idx_nan) + _nx.copyto(d, maxf, where=idx_posinf) + _nx.copyto(d, minf, where=idx_neginf) + return x[()] if isscalar else x + +#----------------------------------------------------------------------------- + +def _real_if_close_dispatcher(a, tol=None): + return (a,) + + +@array_function_dispatch(_real_if_close_dispatcher) +def real_if_close(a, tol=100): + """ + If input is complex with all imaginary parts close to zero, return + real parts. + + "Close to zero" is defined as `tol` * (machine epsilon of the type for + `a`). + + Parameters + ---------- + a : array_like + Input array. + tol : float + Tolerance in machine epsilons for the complex part of the elements + in the array. If the tolerance is <=1, then the absolute tolerance + is used. + + Returns + ------- + out : ndarray + If `a` is real, the type of `a` is used for the output. If `a` + has complex elements, the returned type is float. + + See Also + -------- + real, imag, angle + + Notes + ----- + Machine epsilon varies from machine to machine and between data types + but Python floats on most platforms have a machine epsilon equal to + 2.2204460492503131e-16. You can use 'np.finfo(float).eps' to print + out the machine epsilon for floats. + + Examples + -------- + >>> np.finfo(float).eps + 2.2204460492503131e-16 # may vary + + >>> np.real_if_close([2.1 + 4e-14j, 5.2 + 3e-15j], tol=1000) + array([2.1, 5.2]) + >>> np.real_if_close([2.1 + 4e-13j, 5.2 + 3e-15j], tol=1000) + array([2.1+4.e-13j, 5.2 + 3e-15j]) + + """ + a = asanyarray(a) + type_ = a.dtype.type + if not issubclass(type_, _nx.complexfloating): + return a + if tol > 1: + f = getlimits.finfo(type_) + tol = f.eps * tol + if _nx.all(_nx.absolute(a.imag) < tol): + a = a.real + return a + + +#----------------------------------------------------------------------------- + +_namefromtype = {'S1': 'character', + '?': 'bool', + 'b': 'signed char', + 'B': 'unsigned char', + 'h': 'short', + 'H': 'unsigned short', + 'i': 'integer', + 'I': 'unsigned integer', + 'l': 'long integer', + 'L': 'unsigned long integer', + 'q': 'long long integer', + 'Q': 'unsigned long long integer', + 'f': 'single precision', + 'd': 'double precision', + 'g': 'long precision', + 'F': 'complex single precision', + 'D': 'complex double precision', + 'G': 'complex long double precision', + 'S': 'string', + 'U': 'unicode', + 'V': 'void', + 'O': 'object' + } + +@set_module('numpy') +def typename(char): + """ + Return a description for the given data type code. + + Parameters + ---------- + char : str + Data type code. + + Returns + ------- + out : str + Description of the input data type code. + + See Also + -------- + dtype, typecodes + + Examples + -------- + >>> typechars = ['S1', '?', 'B', 'D', 'G', 'F', 'I', 'H', 'L', 'O', 'Q', + ... 'S', 'U', 'V', 'b', 'd', 'g', 'f', 'i', 'h', 'l', 'q'] + >>> for typechar in typechars: + ... print(typechar, ' : ', np.typename(typechar)) + ... + S1 : character + ? : bool + B : unsigned char + D : complex double precision + G : complex long double precision + F : complex single precision + I : unsigned integer + H : unsigned short + L : unsigned long integer + O : object + Q : unsigned long long integer + S : string + U : unicode + V : void + b : signed char + d : double precision + g : long precision + f : single precision + i : integer + h : short + l : long integer + q : long long integer + + """ + return _namefromtype[char] + +#----------------------------------------------------------------------------- + +#determine the "minimum common type" for a group of arrays. +array_type = [[_nx.half, _nx.single, _nx.double, _nx.longdouble], + [None, _nx.csingle, _nx.cdouble, _nx.clongdouble]] +array_precision = {_nx.half: 0, + _nx.single: 1, + _nx.double: 2, + _nx.longdouble: 3, + _nx.csingle: 1, + _nx.cdouble: 2, + _nx.clongdouble: 3} + + +def _common_type_dispatcher(*arrays): + return arrays + + +@array_function_dispatch(_common_type_dispatcher) +def common_type(*arrays): + """ + Return a scalar type which is common to the input arrays. + + The return type will always be an inexact (i.e. floating point) scalar + type, even if all the arrays are integer arrays. If one of the inputs is + an integer array, the minimum precision type that is returned is a + 64-bit floating point dtype. + + All input arrays except int64 and uint64 can be safely cast to the + returned dtype without loss of information. + + Parameters + ---------- + array1, array2, ... : ndarrays + Input arrays. + + Returns + ------- + out : data type code + Data type code. + + See Also + -------- + dtype, mintypecode + + Examples + -------- + >>> np.common_type(np.arange(2, dtype=np.float32)) + + >>> np.common_type(np.arange(2, dtype=np.float32), np.arange(2)) + + >>> np.common_type(np.arange(4), np.array([45, 6.j]), np.array([45.0])) + + + """ + is_complex = False + precision = 0 + for a in arrays: + t = a.dtype.type + if iscomplexobj(a): + is_complex = True + if issubclass(t, _nx.integer): + p = 2 # array_precision[_nx.double] + else: + p = array_precision.get(t, None) + if p is None: + raise TypeError("can't get common type for non-numeric array") + precision = max(precision, p) + if is_complex: + return array_type[1][precision] + else: + return array_type[0][precision] diff --git a/lib/python3.12/site-packages/numpy/lib/type_check.pyi b/lib/python3.12/site-packages/numpy/lib/type_check.pyi new file mode 100644 index 0000000000000000000000000000000000000000..b04da21d44b6bad5cb50ea8abaa091b5a753da11 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/type_check.pyi @@ -0,0 +1,222 @@ +from collections.abc import Container, Iterable +from typing import ( + Literal as L, + Any, + overload, + TypeVar, + Protocol, +) + +from numpy import ( + dtype, + generic, + bool_, + floating, + float64, + complexfloating, + integer, +) + +from numpy._typing import ( + ArrayLike, + DTypeLike, + NBitBase, + NDArray, + _64Bit, + _SupportsDType, + _ScalarLike_co, + _ArrayLike, + _DTypeLikeComplex, +) + +_T = TypeVar("_T") +_T_co = TypeVar("_T_co", covariant=True) +_SCT = TypeVar("_SCT", bound=generic) +_NBit1 = TypeVar("_NBit1", bound=NBitBase) +_NBit2 = TypeVar("_NBit2", bound=NBitBase) + +class _SupportsReal(Protocol[_T_co]): + @property + def real(self) -> _T_co: ... + +class _SupportsImag(Protocol[_T_co]): + @property + def imag(self) -> _T_co: ... + +__all__: list[str] + +def mintypecode( + typechars: Iterable[str | ArrayLike], + typeset: Container[str] = ..., + default: str = ..., +) -> str: ... + +# `asfarray` ignores dtypes if they're not inexact + +@overload +def asfarray( + a: object, + dtype: None | type[float] = ..., +) -> NDArray[float64]: ... +@overload +def asfarray( # type: ignore[misc] + a: Any, + dtype: _DTypeLikeComplex, +) -> NDArray[complexfloating[Any, Any]]: ... +@overload +def asfarray( + a: Any, + dtype: DTypeLike, +) -> NDArray[floating[Any]]: ... + +@overload +def real(val: _SupportsReal[_T]) -> _T: ... +@overload +def real(val: ArrayLike) -> NDArray[Any]: ... + +@overload +def imag(val: _SupportsImag[_T]) -> _T: ... +@overload +def imag(val: ArrayLike) -> NDArray[Any]: ... + +@overload +def iscomplex(x: _ScalarLike_co) -> bool_: ... # type: ignore[misc] +@overload +def iscomplex(x: ArrayLike) -> NDArray[bool_]: ... + +@overload +def isreal(x: _ScalarLike_co) -> bool_: ... # type: ignore[misc] +@overload +def isreal(x: ArrayLike) -> NDArray[bool_]: ... + +def iscomplexobj(x: _SupportsDType[dtype[Any]] | ArrayLike) -> bool: ... + +def isrealobj(x: _SupportsDType[dtype[Any]] | ArrayLike) -> bool: ... + +@overload +def nan_to_num( # type: ignore[misc] + x: _SCT, + copy: bool = ..., + nan: float = ..., + posinf: None | float = ..., + neginf: None | float = ..., +) -> _SCT: ... +@overload +def nan_to_num( + x: _ScalarLike_co, + copy: bool = ..., + nan: float = ..., + posinf: None | float = ..., + neginf: None | float = ..., +) -> Any: ... +@overload +def nan_to_num( + x: _ArrayLike[_SCT], + copy: bool = ..., + nan: float = ..., + posinf: None | float = ..., + neginf: None | float = ..., +) -> NDArray[_SCT]: ... +@overload +def nan_to_num( + x: ArrayLike, + copy: bool = ..., + nan: float = ..., + posinf: None | float = ..., + neginf: None | float = ..., +) -> NDArray[Any]: ... + +# If one passes a complex array to `real_if_close`, then one is reasonably +# expected to verify the output dtype (so we can return an unsafe union here) + +@overload +def real_if_close( # type: ignore[misc] + a: _ArrayLike[complexfloating[_NBit1, _NBit1]], + tol: float = ..., +) -> NDArray[floating[_NBit1]] | NDArray[complexfloating[_NBit1, _NBit1]]: ... +@overload +def real_if_close( + a: _ArrayLike[_SCT], + tol: float = ..., +) -> NDArray[_SCT]: ... +@overload +def real_if_close( + a: ArrayLike, + tol: float = ..., +) -> NDArray[Any]: ... + +@overload +def typename(char: L['S1']) -> L['character']: ... +@overload +def typename(char: L['?']) -> L['bool']: ... +@overload +def typename(char: L['b']) -> L['signed char']: ... +@overload +def typename(char: L['B']) -> L['unsigned char']: ... +@overload +def typename(char: L['h']) -> L['short']: ... +@overload +def typename(char: L['H']) -> L['unsigned short']: ... +@overload +def typename(char: L['i']) -> L['integer']: ... +@overload +def typename(char: L['I']) -> L['unsigned integer']: ... +@overload +def typename(char: L['l']) -> L['long integer']: ... +@overload +def typename(char: L['L']) -> L['unsigned long integer']: ... +@overload +def typename(char: L['q']) -> L['long long integer']: ... +@overload +def typename(char: L['Q']) -> L['unsigned long long integer']: ... +@overload +def typename(char: L['f']) -> L['single precision']: ... +@overload +def typename(char: L['d']) -> L['double precision']: ... +@overload +def typename(char: L['g']) -> L['long precision']: ... +@overload +def typename(char: L['F']) -> L['complex single precision']: ... +@overload +def typename(char: L['D']) -> L['complex double precision']: ... +@overload +def typename(char: L['G']) -> L['complex long double precision']: ... +@overload +def typename(char: L['S']) -> L['string']: ... +@overload +def typename(char: L['U']) -> L['unicode']: ... +@overload +def typename(char: L['V']) -> L['void']: ... +@overload +def typename(char: L['O']) -> L['object']: ... + +@overload +def common_type( # type: ignore[misc] + *arrays: _SupportsDType[dtype[ + integer[Any] + ]] +) -> type[floating[_64Bit]]: ... +@overload +def common_type( # type: ignore[misc] + *arrays: _SupportsDType[dtype[ + floating[_NBit1] + ]] +) -> type[floating[_NBit1]]: ... +@overload +def common_type( # type: ignore[misc] + *arrays: _SupportsDType[dtype[ + integer[Any] | floating[_NBit1] + ]] +) -> type[floating[_NBit1 | _64Bit]]: ... +@overload +def common_type( # type: ignore[misc] + *arrays: _SupportsDType[dtype[ + floating[_NBit1] | complexfloating[_NBit2, _NBit2] + ]] +) -> type[complexfloating[_NBit1 | _NBit2, _NBit1 | _NBit2]]: ... +@overload +def common_type( + *arrays: _SupportsDType[dtype[ + integer[Any] | floating[_NBit1] | complexfloating[_NBit2, _NBit2] + ]] +) -> type[complexfloating[_64Bit | _NBit1 | _NBit2, _64Bit | _NBit1 | _NBit2]]: ... diff --git a/lib/python3.12/site-packages/numpy/lib/ufunclike.py b/lib/python3.12/site-packages/numpy/lib/ufunclike.py new file mode 100644 index 0000000000000000000000000000000000000000..05fe60c5b105cd92d1ab1932522a61e0b7bc9d1f --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/ufunclike.py @@ -0,0 +1,210 @@ +""" +Module of functions that are like ufuncs in acting on arrays and optionally +storing results in an output array. + +""" +__all__ = ['fix', 'isneginf', 'isposinf'] + +import numpy.core.numeric as nx +from numpy.core.overrides import array_function_dispatch +import warnings +import functools + + +def _dispatcher(x, out=None): + return (x, out) + + +@array_function_dispatch(_dispatcher, verify=False, module='numpy') +def fix(x, out=None): + """ + Round to nearest integer towards zero. + + Round an array of floats element-wise to nearest integer towards zero. + The rounded values are returned as floats. + + Parameters + ---------- + x : array_like + An array of floats to be rounded + out : ndarray, optional + A location into which the result is stored. If provided, it must have + a shape that the input broadcasts to. If not provided or None, a + freshly-allocated array is returned. + + Returns + ------- + out : ndarray of floats + A float array with the same dimensions as the input. + If second argument is not supplied then a float array is returned + with the rounded values. + + If a second argument is supplied the result is stored there. + The return value `out` is then a reference to that array. + + See Also + -------- + rint, trunc, floor, ceil + around : Round to given number of decimals + + Examples + -------- + >>> np.fix(3.14) + 3.0 + >>> np.fix(3) + 3.0 + >>> np.fix([2.1, 2.9, -2.1, -2.9]) + array([ 2., 2., -2., -2.]) + + """ + # promote back to an array if flattened + res = nx.asanyarray(nx.ceil(x, out=out)) + res = nx.floor(x, out=res, where=nx.greater_equal(x, 0)) + + # when no out argument is passed and no subclasses are involved, flatten + # scalars + if out is None and type(res) is nx.ndarray: + res = res[()] + return res + + +@array_function_dispatch(_dispatcher, verify=False, module='numpy') +def isposinf(x, out=None): + """ + Test element-wise for positive infinity, return result as bool array. + + Parameters + ---------- + x : array_like + The input array. + out : array_like, optional + A location into which the result is stored. If provided, it must have a + shape that the input broadcasts to. If not provided or None, a + freshly-allocated boolean array is returned. + + Returns + ------- + out : ndarray + A boolean array with the same dimensions as the input. + If second argument is not supplied then a boolean array is returned + with values True where the corresponding element of the input is + positive infinity and values False where the element of the input is + not positive infinity. + + If a second argument is supplied the result is stored there. If the + type of that array is a numeric type the result is represented as zeros + and ones, if the type is boolean then as False and True. + The return value `out` is then a reference to that array. + + See Also + -------- + isinf, isneginf, isfinite, isnan + + Notes + ----- + NumPy uses the IEEE Standard for Binary Floating-Point for Arithmetic + (IEEE 754). + + Errors result if the second argument is also supplied when x is a scalar + input, if first and second arguments have different shapes, or if the + first argument has complex values + + Examples + -------- + >>> np.isposinf(np.PINF) + True + >>> np.isposinf(np.inf) + True + >>> np.isposinf(np.NINF) + False + >>> np.isposinf([-np.inf, 0., np.inf]) + array([False, False, True]) + + >>> x = np.array([-np.inf, 0., np.inf]) + >>> y = np.array([2, 2, 2]) + >>> np.isposinf(x, y) + array([0, 0, 1]) + >>> y + array([0, 0, 1]) + + """ + is_inf = nx.isinf(x) + try: + signbit = ~nx.signbit(x) + except TypeError as e: + dtype = nx.asanyarray(x).dtype + raise TypeError(f'This operation is not supported for {dtype} values ' + 'because it would be ambiguous.') from e + else: + return nx.logical_and(is_inf, signbit, out) + + +@array_function_dispatch(_dispatcher, verify=False, module='numpy') +def isneginf(x, out=None): + """ + Test element-wise for negative infinity, return result as bool array. + + Parameters + ---------- + x : array_like + The input array. + out : array_like, optional + A location into which the result is stored. If provided, it must have a + shape that the input broadcasts to. If not provided or None, a + freshly-allocated boolean array is returned. + + Returns + ------- + out : ndarray + A boolean array with the same dimensions as the input. + If second argument is not supplied then a numpy boolean array is + returned with values True where the corresponding element of the + input is negative infinity and values False where the element of + the input is not negative infinity. + + If a second argument is supplied the result is stored there. If the + type of that array is a numeric type the result is represented as + zeros and ones, if the type is boolean then as False and True. The + return value `out` is then a reference to that array. + + See Also + -------- + isinf, isposinf, isnan, isfinite + + Notes + ----- + NumPy uses the IEEE Standard for Binary Floating-Point for Arithmetic + (IEEE 754). + + Errors result if the second argument is also supplied when x is a scalar + input, if first and second arguments have different shapes, or if the + first argument has complex values. + + Examples + -------- + >>> np.isneginf(np.NINF) + True + >>> np.isneginf(np.inf) + False + >>> np.isneginf(np.PINF) + False + >>> np.isneginf([-np.inf, 0., np.inf]) + array([ True, False, False]) + + >>> x = np.array([-np.inf, 0., np.inf]) + >>> y = np.array([2, 2, 2]) + >>> np.isneginf(x, y) + array([1, 0, 0]) + >>> y + array([1, 0, 0]) + + """ + is_inf = nx.isinf(x) + try: + signbit = nx.signbit(x) + except TypeError as e: + dtype = nx.asanyarray(x).dtype + raise TypeError(f'This operation is not supported for {dtype} values ' + 'because it would be ambiguous.') from e + else: + return nx.logical_and(is_inf, signbit, out) diff --git a/lib/python3.12/site-packages/numpy/lib/ufunclike.pyi b/lib/python3.12/site-packages/numpy/lib/ufunclike.pyi new file mode 100644 index 0000000000000000000000000000000000000000..82537e2acd953e3ce82541b04cdca0dfba1963b4 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/ufunclike.pyi @@ -0,0 +1,66 @@ +from typing import Any, overload, TypeVar + +from numpy import floating, bool_, object_, ndarray +from numpy._typing import ( + NDArray, + _FloatLike_co, + _ArrayLikeFloat_co, + _ArrayLikeObject_co, +) + +_ArrayType = TypeVar("_ArrayType", bound=ndarray[Any, Any]) + +__all__: list[str] + +@overload +def fix( # type: ignore[misc] + x: _FloatLike_co, + out: None = ..., +) -> floating[Any]: ... +@overload +def fix( + x: _ArrayLikeFloat_co, + out: None = ..., +) -> NDArray[floating[Any]]: ... +@overload +def fix( + x: _ArrayLikeObject_co, + out: None = ..., +) -> NDArray[object_]: ... +@overload +def fix( + x: _ArrayLikeFloat_co | _ArrayLikeObject_co, + out: _ArrayType, +) -> _ArrayType: ... + +@overload +def isposinf( # type: ignore[misc] + x: _FloatLike_co, + out: None = ..., +) -> bool_: ... +@overload +def isposinf( + x: _ArrayLikeFloat_co, + out: None = ..., +) -> NDArray[bool_]: ... +@overload +def isposinf( + x: _ArrayLikeFloat_co, + out: _ArrayType, +) -> _ArrayType: ... + +@overload +def isneginf( # type: ignore[misc] + x: _FloatLike_co, + out: None = ..., +) -> bool_: ... +@overload +def isneginf( + x: _ArrayLikeFloat_co, + out: None = ..., +) -> NDArray[bool_]: ... +@overload +def isneginf( + x: _ArrayLikeFloat_co, + out: _ArrayType, +) -> _ArrayType: ... diff --git a/lib/python3.12/site-packages/numpy/lib/user_array.py b/lib/python3.12/site-packages/numpy/lib/user_array.py new file mode 100644 index 0000000000000000000000000000000000000000..0e96b477ef7456e5ce575b17698323b7ff479dcd --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/user_array.py @@ -0,0 +1,286 @@ +""" +Standard container-class for easy multiple-inheritance. + +Try to inherit from the ndarray instead of using this class as this is not +complete. + +""" +from numpy.core import ( + array, asarray, absolute, add, subtract, multiply, divide, + remainder, power, left_shift, right_shift, bitwise_and, bitwise_or, + bitwise_xor, invert, less, less_equal, not_equal, equal, greater, + greater_equal, shape, reshape, arange, sin, sqrt, transpose +) + + +class container: + """ + container(data, dtype=None, copy=True) + + Standard container-class for easy multiple-inheritance. + + Methods + ------- + copy + tostring + byteswap + astype + + """ + def __init__(self, data, dtype=None, copy=True): + self.array = array(data, dtype, copy=copy) + + def __repr__(self): + if self.ndim > 0: + return self.__class__.__name__ + repr(self.array)[len("array"):] + else: + return self.__class__.__name__ + "(" + repr(self.array) + ")" + + def __array__(self, t=None): + if t: + return self.array.astype(t) + return self.array + + # Array as sequence + def __len__(self): + return len(self.array) + + def __getitem__(self, index): + return self._rc(self.array[index]) + + def __setitem__(self, index, value): + self.array[index] = asarray(value, self.dtype) + + def __abs__(self): + return self._rc(absolute(self.array)) + + def __neg__(self): + return self._rc(-self.array) + + def __add__(self, other): + return self._rc(self.array + asarray(other)) + + __radd__ = __add__ + + def __iadd__(self, other): + add(self.array, other, self.array) + return self + + def __sub__(self, other): + return self._rc(self.array - asarray(other)) + + def __rsub__(self, other): + return self._rc(asarray(other) - self.array) + + def __isub__(self, other): + subtract(self.array, other, self.array) + return self + + def __mul__(self, other): + return self._rc(multiply(self.array, asarray(other))) + + __rmul__ = __mul__ + + def __imul__(self, other): + multiply(self.array, other, self.array) + return self + + def __div__(self, other): + return self._rc(divide(self.array, asarray(other))) + + def __rdiv__(self, other): + return self._rc(divide(asarray(other), self.array)) + + def __idiv__(self, other): + divide(self.array, other, self.array) + return self + + def __mod__(self, other): + return self._rc(remainder(self.array, other)) + + def __rmod__(self, other): + return self._rc(remainder(other, self.array)) + + def __imod__(self, other): + remainder(self.array, other, self.array) + return self + + def __divmod__(self, other): + return (self._rc(divide(self.array, other)), + self._rc(remainder(self.array, other))) + + def __rdivmod__(self, other): + return (self._rc(divide(other, self.array)), + self._rc(remainder(other, self.array))) + + def __pow__(self, other): + return self._rc(power(self.array, asarray(other))) + + def __rpow__(self, other): + return self._rc(power(asarray(other), self.array)) + + def __ipow__(self, other): + power(self.array, other, self.array) + return self + + def __lshift__(self, other): + return self._rc(left_shift(self.array, other)) + + def __rshift__(self, other): + return self._rc(right_shift(self.array, other)) + + def __rlshift__(self, other): + return self._rc(left_shift(other, self.array)) + + def __rrshift__(self, other): + return self._rc(right_shift(other, self.array)) + + def __ilshift__(self, other): + left_shift(self.array, other, self.array) + return self + + def __irshift__(self, other): + right_shift(self.array, other, self.array) + return self + + def __and__(self, other): + return self._rc(bitwise_and(self.array, other)) + + def __rand__(self, other): + return self._rc(bitwise_and(other, self.array)) + + def __iand__(self, other): + bitwise_and(self.array, other, self.array) + return self + + def __xor__(self, other): + return self._rc(bitwise_xor(self.array, other)) + + def __rxor__(self, other): + return self._rc(bitwise_xor(other, self.array)) + + def __ixor__(self, other): + bitwise_xor(self.array, other, self.array) + return self + + def __or__(self, other): + return self._rc(bitwise_or(self.array, other)) + + def __ror__(self, other): + return self._rc(bitwise_or(other, self.array)) + + def __ior__(self, other): + bitwise_or(self.array, other, self.array) + return self + + def __pos__(self): + return self._rc(self.array) + + def __invert__(self): + return self._rc(invert(self.array)) + + def _scalarfunc(self, func): + if self.ndim == 0: + return func(self[0]) + else: + raise TypeError( + "only rank-0 arrays can be converted to Python scalars.") + + def __complex__(self): + return self._scalarfunc(complex) + + def __float__(self): + return self._scalarfunc(float) + + def __int__(self): + return self._scalarfunc(int) + + def __hex__(self): + return self._scalarfunc(hex) + + def __oct__(self): + return self._scalarfunc(oct) + + def __lt__(self, other): + return self._rc(less(self.array, other)) + + def __le__(self, other): + return self._rc(less_equal(self.array, other)) + + def __eq__(self, other): + return self._rc(equal(self.array, other)) + + def __ne__(self, other): + return self._rc(not_equal(self.array, other)) + + def __gt__(self, other): + return self._rc(greater(self.array, other)) + + def __ge__(self, other): + return self._rc(greater_equal(self.array, other)) + + def copy(self): + "" + return self._rc(self.array.copy()) + + def tostring(self): + "" + return self.array.tostring() + + def tobytes(self): + "" + return self.array.tobytes() + + def byteswap(self): + "" + return self._rc(self.array.byteswap()) + + def astype(self, typecode): + "" + return self._rc(self.array.astype(typecode)) + + def _rc(self, a): + if len(shape(a)) == 0: + return a + else: + return self.__class__(a) + + def __array_wrap__(self, *args): + return self.__class__(args[0]) + + def __setattr__(self, attr, value): + if attr == 'array': + object.__setattr__(self, attr, value) + return + try: + self.array.__setattr__(attr, value) + except AttributeError: + object.__setattr__(self, attr, value) + + # Only called after other approaches fail. + def __getattr__(self, attr): + if (attr == 'array'): + return object.__getattribute__(self, attr) + return self.array.__getattribute__(attr) + +############################################################# +# Test of class container +############################################################# +if __name__ == '__main__': + temp = reshape(arange(10000), (100, 100)) + + ua = container(temp) + # new object created begin test + print(dir(ua)) + print(shape(ua), ua.shape) # I have changed Numeric.py + + ua_small = ua[:3, :5] + print(ua_small) + # this did not change ua[0,0], which is not normal behavior + ua_small[0, 0] = 10 + print(ua_small[0, 0], ua[0, 0]) + print(sin(ua_small) / 3. * 6. + sqrt(ua_small ** 2)) + print(less(ua_small, 103), type(less(ua_small, 103))) + print(type(ua_small * reshape(arange(15), shape(ua_small)))) + print(reshape(ua_small, (5, 3))) + print(transpose(ua_small)) diff --git a/lib/python3.12/site-packages/numpy/lib/utils.py b/lib/python3.12/site-packages/numpy/lib/utils.py new file mode 100644 index 0000000000000000000000000000000000000000..6174c8d08764a4712cea65d3077a93e7c67a6333 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/utils.py @@ -0,0 +1,1211 @@ +import os +import sys +import textwrap +import types +import re +import warnings +import functools +import platform + +from .._utils import set_module +from numpy.core.numerictypes import issubclass_, issubsctype, issubdtype +from numpy.core import ndarray, ufunc, asarray +import numpy as np + +__all__ = [ + 'issubclass_', 'issubsctype', 'issubdtype', 'deprecate', + 'deprecate_with_doc', 'get_include', 'info', 'source', 'who', + 'lookfor', 'byte_bounds', 'safe_eval', 'show_runtime' + ] + + +def show_runtime(): + """ + Print information about various resources in the system + including available intrinsic support and BLAS/LAPACK library + in use + + .. versionadded:: 1.24.0 + + See Also + -------- + show_config : Show libraries in the system on which NumPy was built. + + Notes + ----- + 1. Information is derived with the help of `threadpoolctl `_ + library if available. + 2. SIMD related information is derived from ``__cpu_features__``, + ``__cpu_baseline__`` and ``__cpu_dispatch__`` + + """ + from numpy.core._multiarray_umath import ( + __cpu_features__, __cpu_baseline__, __cpu_dispatch__ + ) + from pprint import pprint + config_found = [{ + "numpy_version": np.__version__, + "python": sys.version, + "uname": platform.uname(), + }] + features_found, features_not_found = [], [] + for feature in __cpu_dispatch__: + if __cpu_features__[feature]: + features_found.append(feature) + else: + features_not_found.append(feature) + config_found.append({ + "simd_extensions": { + "baseline": __cpu_baseline__, + "found": features_found, + "not_found": features_not_found + } + }) + try: + from threadpoolctl import threadpool_info + config_found.extend(threadpool_info()) + except ImportError: + print("WARNING: `threadpoolctl` not found in system!" + " Install it by `pip install threadpoolctl`." + " Once installed, try `np.show_runtime` again" + " for more detailed build information") + pprint(config_found) + + +def get_include(): + """ + Return the directory that contains the NumPy \\*.h header files. + + Extension modules that need to compile against NumPy should use this + function to locate the appropriate include directory. + + Notes + ----- + When using ``distutils``, for example in ``setup.py``:: + + import numpy as np + ... + Extension('extension_name', ... + include_dirs=[np.get_include()]) + ... + + """ + import numpy + if numpy.show_config is None: + # running from numpy source directory + d = os.path.join(os.path.dirname(numpy.__file__), 'core', 'include') + else: + # using installed numpy core headers + import numpy.core as core + d = os.path.join(os.path.dirname(core.__file__), 'include') + return d + + +class _Deprecate: + """ + Decorator class to deprecate old functions. + + Refer to `deprecate` for details. + + See Also + -------- + deprecate + + """ + + def __init__(self, old_name=None, new_name=None, message=None): + self.old_name = old_name + self.new_name = new_name + self.message = message + + def __call__(self, func, *args, **kwargs): + """ + Decorator call. Refer to ``decorate``. + + """ + old_name = self.old_name + new_name = self.new_name + message = self.message + + if old_name is None: + old_name = func.__name__ + if new_name is None: + depdoc = "`%s` is deprecated!" % old_name + else: + depdoc = "`%s` is deprecated, use `%s` instead!" % \ + (old_name, new_name) + + if message is not None: + depdoc += "\n" + message + + @functools.wraps(func) + def newfunc(*args, **kwds): + warnings.warn(depdoc, DeprecationWarning, stacklevel=2) + return func(*args, **kwds) + + newfunc.__name__ = old_name + doc = func.__doc__ + if doc is None: + doc = depdoc + else: + lines = doc.expandtabs().split('\n') + indent = _get_indent(lines[1:]) + if lines[0].lstrip(): + # Indent the original first line to let inspect.cleandoc() + # dedent the docstring despite the deprecation notice. + doc = indent * ' ' + doc + else: + # Remove the same leading blank lines as cleandoc() would. + skip = len(lines[0]) + 1 + for line in lines[1:]: + if len(line) > indent: + break + skip += len(line) + 1 + doc = doc[skip:] + depdoc = textwrap.indent(depdoc, ' ' * indent) + doc = '\n\n'.join([depdoc, doc]) + newfunc.__doc__ = doc + + return newfunc + + +def _get_indent(lines): + """ + Determines the leading whitespace that could be removed from all the lines. + """ + indent = sys.maxsize + for line in lines: + content = len(line.lstrip()) + if content: + indent = min(indent, len(line) - content) + if indent == sys.maxsize: + indent = 0 + return indent + + +def deprecate(*args, **kwargs): + """ + Issues a DeprecationWarning, adds warning to `old_name`'s + docstring, rebinds ``old_name.__name__`` and returns the new + function object. + + This function may also be used as a decorator. + + Parameters + ---------- + func : function + The function to be deprecated. + old_name : str, optional + The name of the function to be deprecated. Default is None, in + which case the name of `func` is used. + new_name : str, optional + The new name for the function. Default is None, in which case the + deprecation message is that `old_name` is deprecated. If given, the + deprecation message is that `old_name` is deprecated and `new_name` + should be used instead. + message : str, optional + Additional explanation of the deprecation. Displayed in the + docstring after the warning. + + Returns + ------- + old_func : function + The deprecated function. + + Examples + -------- + Note that ``olduint`` returns a value after printing Deprecation + Warning: + + >>> olduint = np.deprecate(np.uint) + DeprecationWarning: `uint64` is deprecated! # may vary + >>> olduint(6) + 6 + + """ + # Deprecate may be run as a function or as a decorator + # If run as a function, we initialise the decorator class + # and execute its __call__ method. + + if args: + fn = args[0] + args = args[1:] + + return _Deprecate(*args, **kwargs)(fn) + else: + return _Deprecate(*args, **kwargs) + + +def deprecate_with_doc(msg): + """ + Deprecates a function and includes the deprecation in its docstring. + + This function is used as a decorator. It returns an object that can be + used to issue a DeprecationWarning, by passing the to-be decorated + function as argument, this adds warning to the to-be decorated function's + docstring and returns the new function object. + + See Also + -------- + deprecate : Decorate a function such that it issues a `DeprecationWarning` + + Parameters + ---------- + msg : str + Additional explanation of the deprecation. Displayed in the + docstring after the warning. + + Returns + ------- + obj : object + + """ + return _Deprecate(message=msg) + + +#-------------------------------------------- +# Determine if two arrays can share memory +#-------------------------------------------- + +def byte_bounds(a): + """ + Returns pointers to the end-points of an array. + + Parameters + ---------- + a : ndarray + Input array. It must conform to the Python-side of the array + interface. + + Returns + ------- + (low, high) : tuple of 2 integers + The first integer is the first byte of the array, the second + integer is just past the last byte of the array. If `a` is not + contiguous it will not use every byte between the (`low`, `high`) + values. + + Examples + -------- + >>> I = np.eye(2, dtype='f'); I.dtype + dtype('float32') + >>> low, high = np.byte_bounds(I) + >>> high - low == I.size*I.itemsize + True + >>> I = np.eye(2); I.dtype + dtype('float64') + >>> low, high = np.byte_bounds(I) + >>> high - low == I.size*I.itemsize + True + + """ + ai = a.__array_interface__ + a_data = ai['data'][0] + astrides = ai['strides'] + ashape = ai['shape'] + bytes_a = asarray(a).dtype.itemsize + + a_low = a_high = a_data + if astrides is None: + # contiguous case + a_high += a.size * bytes_a + else: + for shape, stride in zip(ashape, astrides): + if stride < 0: + a_low += (shape-1)*stride + else: + a_high += (shape-1)*stride + a_high += bytes_a + return a_low, a_high + + +#----------------------------------------------------------------------------- +# Function for output and information on the variables used. +#----------------------------------------------------------------------------- + + +def who(vardict=None): + """ + Print the NumPy arrays in the given dictionary. + + If there is no dictionary passed in or `vardict` is None then returns + NumPy arrays in the globals() dictionary (all NumPy arrays in the + namespace). + + Parameters + ---------- + vardict : dict, optional + A dictionary possibly containing ndarrays. Default is globals(). + + Returns + ------- + out : None + Returns 'None'. + + Notes + ----- + Prints out the name, shape, bytes and type of all of the ndarrays + present in `vardict`. + + Examples + -------- + >>> a = np.arange(10) + >>> b = np.ones(20) + >>> np.who() + Name Shape Bytes Type + =========================================================== + a 10 80 int64 + b 20 160 float64 + Upper bound on total bytes = 240 + + >>> d = {'x': np.arange(2.0), 'y': np.arange(3.0), 'txt': 'Some str', + ... 'idx':5} + >>> np.who(d) + Name Shape Bytes Type + =========================================================== + x 2 16 float64 + y 3 24 float64 + Upper bound on total bytes = 40 + + """ + if vardict is None: + frame = sys._getframe().f_back + vardict = frame.f_globals + sta = [] + cache = {} + for name in vardict.keys(): + if isinstance(vardict[name], ndarray): + var = vardict[name] + idv = id(var) + if idv in cache.keys(): + namestr = name + " (%s)" % cache[idv] + original = 0 + else: + cache[idv] = name + namestr = name + original = 1 + shapestr = " x ".join(map(str, var.shape)) + bytestr = str(var.nbytes) + sta.append([namestr, shapestr, bytestr, var.dtype.name, + original]) + + maxname = 0 + maxshape = 0 + maxbyte = 0 + totalbytes = 0 + for val in sta: + if maxname < len(val[0]): + maxname = len(val[0]) + if maxshape < len(val[1]): + maxshape = len(val[1]) + if maxbyte < len(val[2]): + maxbyte = len(val[2]) + if val[4]: + totalbytes += int(val[2]) + + if len(sta) > 0: + sp1 = max(10, maxname) + sp2 = max(10, maxshape) + sp3 = max(10, maxbyte) + prval = "Name %s Shape %s Bytes %s Type" % (sp1*' ', sp2*' ', sp3*' ') + print(prval + "\n" + "="*(len(prval)+5) + "\n") + + for val in sta: + print("%s %s %s %s %s %s %s" % (val[0], ' '*(sp1-len(val[0])+4), + val[1], ' '*(sp2-len(val[1])+5), + val[2], ' '*(sp3-len(val[2])+5), + val[3])) + print("\nUpper bound on total bytes = %d" % totalbytes) + return + +#----------------------------------------------------------------------------- + + +# NOTE: pydoc defines a help function which works similarly to this +# except it uses a pager to take over the screen. + +# combine name and arguments and split to multiple lines of width +# characters. End lines on a comma and begin argument list indented with +# the rest of the arguments. +def _split_line(name, arguments, width): + firstwidth = len(name) + k = firstwidth + newstr = name + sepstr = ", " + arglist = arguments.split(sepstr) + for argument in arglist: + if k == firstwidth: + addstr = "" + else: + addstr = sepstr + k = k + len(argument) + len(addstr) + if k > width: + k = firstwidth + 1 + len(argument) + newstr = newstr + ",\n" + " "*(firstwidth+2) + argument + else: + newstr = newstr + addstr + argument + return newstr + +_namedict = None +_dictlist = None + +# Traverse all module directories underneath globals +# to see if something is defined +def _makenamedict(module='numpy'): + module = __import__(module, globals(), locals(), []) + thedict = {module.__name__:module.__dict__} + dictlist = [module.__name__] + totraverse = [module.__dict__] + while True: + if len(totraverse) == 0: + break + thisdict = totraverse.pop(0) + for x in thisdict.keys(): + if isinstance(thisdict[x], types.ModuleType): + modname = thisdict[x].__name__ + if modname not in dictlist: + moddict = thisdict[x].__dict__ + dictlist.append(modname) + totraverse.append(moddict) + thedict[modname] = moddict + return thedict, dictlist + + +def _info(obj, output=None): + """Provide information about ndarray obj. + + Parameters + ---------- + obj : ndarray + Must be ndarray, not checked. + output + Where printed output goes. + + Notes + ----- + Copied over from the numarray module prior to its removal. + Adapted somewhat as only numpy is an option now. + + Called by info. + + """ + extra = "" + tic = "" + bp = lambda x: x + cls = getattr(obj, '__class__', type(obj)) + nm = getattr(cls, '__name__', cls) + strides = obj.strides + endian = obj.dtype.byteorder + + if output is None: + output = sys.stdout + + print("class: ", nm, file=output) + print("shape: ", obj.shape, file=output) + print("strides: ", strides, file=output) + print("itemsize: ", obj.itemsize, file=output) + print("aligned: ", bp(obj.flags.aligned), file=output) + print("contiguous: ", bp(obj.flags.contiguous), file=output) + print("fortran: ", obj.flags.fortran, file=output) + print( + "data pointer: %s%s" % (hex(obj.ctypes._as_parameter_.value), extra), + file=output + ) + print("byteorder: ", end=' ', file=output) + if endian in ['|', '=']: + print("%s%s%s" % (tic, sys.byteorder, tic), file=output) + byteswap = False + elif endian == '>': + print("%sbig%s" % (tic, tic), file=output) + byteswap = sys.byteorder != "big" + else: + print("%slittle%s" % (tic, tic), file=output) + byteswap = sys.byteorder != "little" + print("byteswap: ", bp(byteswap), file=output) + print("type: %s" % obj.dtype, file=output) + + +@set_module('numpy') +def info(object=None, maxwidth=76, output=None, toplevel='numpy'): + """ + Get help information for an array, function, class, or module. + + Parameters + ---------- + object : object or str, optional + Input object or name to get information about. If `object` is + an `ndarray` instance, information about the array is printed. + If `object` is a numpy object, its docstring is given. If it is + a string, available modules are searched for matching objects. + If None, information about `info` itself is returned. + maxwidth : int, optional + Printing width. + output : file like object, optional + File like object that the output is written to, default is + ``None``, in which case ``sys.stdout`` will be used. + The object has to be opened in 'w' or 'a' mode. + toplevel : str, optional + Start search at this level. + + See Also + -------- + source, lookfor + + Notes + ----- + When used interactively with an object, ``np.info(obj)`` is equivalent + to ``help(obj)`` on the Python prompt or ``obj?`` on the IPython + prompt. + + Examples + -------- + >>> np.info(np.polyval) # doctest: +SKIP + polyval(p, x) + Evaluate the polynomial p at x. + ... + + When using a string for `object` it is possible to get multiple results. + + >>> np.info('fft') # doctest: +SKIP + *** Found in numpy *** + Core FFT routines + ... + *** Found in numpy.fft *** + fft(a, n=None, axis=-1) + ... + *** Repeat reference found in numpy.fft.fftpack *** + *** Total of 3 references found. *** + + When the argument is an array, information about the array is printed. + + >>> a = np.array([[1 + 2j, 3, -4], [-5j, 6, 0]], dtype=np.complex64) + >>> np.info(a) + class: ndarray + shape: (2, 3) + strides: (24, 8) + itemsize: 8 + aligned: True + contiguous: True + fortran: False + data pointer: 0x562b6e0d2860 # may vary + byteorder: little + byteswap: False + type: complex64 + + """ + global _namedict, _dictlist + # Local import to speed up numpy's import time. + import pydoc + import inspect + + if (hasattr(object, '_ppimport_importer') or + hasattr(object, '_ppimport_module')): + object = object._ppimport_module + elif hasattr(object, '_ppimport_attr'): + object = object._ppimport_attr + + if output is None: + output = sys.stdout + + if object is None: + info(info) + elif isinstance(object, ndarray): + _info(object, output=output) + elif isinstance(object, str): + if _namedict is None: + _namedict, _dictlist = _makenamedict(toplevel) + numfound = 0 + objlist = [] + for namestr in _dictlist: + try: + obj = _namedict[namestr][object] + if id(obj) in objlist: + print("\n " + "*** Repeat reference found in %s *** " % namestr, + file=output + ) + else: + objlist.append(id(obj)) + print(" *** Found in %s ***" % namestr, file=output) + info(obj) + print("-"*maxwidth, file=output) + numfound += 1 + except KeyError: + pass + if numfound == 0: + print("Help for %s not found." % object, file=output) + else: + print("\n " + "*** Total of %d references found. ***" % numfound, + file=output + ) + + elif inspect.isfunction(object) or inspect.ismethod(object): + name = object.__name__ + try: + arguments = str(inspect.signature(object)) + except Exception: + arguments = "()" + + if len(name+arguments) > maxwidth: + argstr = _split_line(name, arguments, maxwidth) + else: + argstr = name + arguments + + print(" " + argstr + "\n", file=output) + print(inspect.getdoc(object), file=output) + + elif inspect.isclass(object): + name = object.__name__ + try: + arguments = str(inspect.signature(object)) + except Exception: + arguments = "()" + + if len(name+arguments) > maxwidth: + argstr = _split_line(name, arguments, maxwidth) + else: + argstr = name + arguments + + print(" " + argstr + "\n", file=output) + doc1 = inspect.getdoc(object) + if doc1 is None: + if hasattr(object, '__init__'): + print(inspect.getdoc(object.__init__), file=output) + else: + print(inspect.getdoc(object), file=output) + + methods = pydoc.allmethods(object) + + public_methods = [meth for meth in methods if meth[0] != '_'] + if public_methods: + print("\n\nMethods:\n", file=output) + for meth in public_methods: + thisobj = getattr(object, meth, None) + if thisobj is not None: + methstr, other = pydoc.splitdoc( + inspect.getdoc(thisobj) or "None" + ) + print(" %s -- %s" % (meth, methstr), file=output) + + elif hasattr(object, '__doc__'): + print(inspect.getdoc(object), file=output) + + +@set_module('numpy') +def source(object, output=sys.stdout): + """ + Print or write to a file the source code for a NumPy object. + + The source code is only returned for objects written in Python. Many + functions and classes are defined in C and will therefore not return + useful information. + + Parameters + ---------- + object : numpy object + Input object. This can be any object (function, class, module, + ...). + output : file object, optional + If `output` not supplied then source code is printed to screen + (sys.stdout). File object must be created with either write 'w' or + append 'a' modes. + + See Also + -------- + lookfor, info + + Examples + -------- + >>> np.source(np.interp) #doctest: +SKIP + In file: /usr/lib/python2.6/dist-packages/numpy/lib/function_base.py + def interp(x, xp, fp, left=None, right=None): + \"\"\".... (full docstring printed)\"\"\" + if isinstance(x, (float, int, number)): + return compiled_interp([x], xp, fp, left, right).item() + else: + return compiled_interp(x, xp, fp, left, right) + + The source code is only returned for objects written in Python. + + >>> np.source(np.array) #doctest: +SKIP + Not available for this object. + + """ + # Local import to speed up numpy's import time. + import inspect + try: + print("In file: %s\n" % inspect.getsourcefile(object), file=output) + print(inspect.getsource(object), file=output) + except Exception: + print("Not available for this object.", file=output) + + +# Cache for lookfor: {id(module): {name: (docstring, kind, index), ...}...} +# where kind: "func", "class", "module", "object" +# and index: index in breadth-first namespace traversal +_lookfor_caches = {} + +# regexp whose match indicates that the string may contain a function +# signature +_function_signature_re = re.compile(r"[a-z0-9_]+\(.*[,=].*\)", re.I) + + +@set_module('numpy') +def lookfor(what, module=None, import_modules=True, regenerate=False, + output=None): + """ + Do a keyword search on docstrings. + + A list of objects that matched the search is displayed, + sorted by relevance. All given keywords need to be found in the + docstring for it to be returned as a result, but the order does + not matter. + + Parameters + ---------- + what : str + String containing words to look for. + module : str or list, optional + Name of module(s) whose docstrings to go through. + import_modules : bool, optional + Whether to import sub-modules in packages. Default is True. + regenerate : bool, optional + Whether to re-generate the docstring cache. Default is False. + output : file-like, optional + File-like object to write the output to. If omitted, use a pager. + + See Also + -------- + source, info + + Notes + ----- + Relevance is determined only roughly, by checking if the keywords occur + in the function name, at the start of a docstring, etc. + + Examples + -------- + >>> np.lookfor('binary representation') # doctest: +SKIP + Search results for 'binary representation' + ------------------------------------------ + numpy.binary_repr + Return the binary representation of the input number as a string. + numpy.core.setup_common.long_double_representation + Given a binary dump as given by GNU od -b, look for long double + numpy.base_repr + Return a string representation of a number in the given base system. + ... + + """ + import pydoc + + # Cache + cache = _lookfor_generate_cache(module, import_modules, regenerate) + + # Search + # XXX: maybe using a real stemming search engine would be better? + found = [] + whats = str(what).lower().split() + if not whats: + return + + for name, (docstring, kind, index) in cache.items(): + if kind in ('module', 'object'): + # don't show modules or objects + continue + doc = docstring.lower() + if all(w in doc for w in whats): + found.append(name) + + # Relevance sort + # XXX: this is full Harrison-Stetson heuristics now, + # XXX: it probably could be improved + + kind_relevance = {'func': 1000, 'class': 1000, + 'module': -1000, 'object': -1000} + + def relevance(name, docstr, kind, index): + r = 0 + # do the keywords occur within the start of the docstring? + first_doc = "\n".join(docstr.lower().strip().split("\n")[:3]) + r += sum([200 for w in whats if w in first_doc]) + # do the keywords occur in the function name? + r += sum([30 for w in whats if w in name]) + # is the full name long? + r += -len(name) * 5 + # is the object of bad type? + r += kind_relevance.get(kind, -1000) + # is the object deep in namespace hierarchy? + r += -name.count('.') * 10 + r += max(-index / 100, -100) + return r + + def relevance_value(a): + return relevance(a, *cache[a]) + found.sort(key=relevance_value) + + # Pretty-print + s = "Search results for '%s'" % (' '.join(whats)) + help_text = [s, "-"*len(s)] + for name in found[::-1]: + doc, kind, ix = cache[name] + + doclines = [line.strip() for line in doc.strip().split("\n") + if line.strip()] + + # find a suitable short description + try: + first_doc = doclines[0].strip() + if _function_signature_re.search(first_doc): + first_doc = doclines[1].strip() + except IndexError: + first_doc = "" + help_text.append("%s\n %s" % (name, first_doc)) + + if not found: + help_text.append("Nothing found.") + + # Output + if output is not None: + output.write("\n".join(help_text)) + elif len(help_text) > 10: + pager = pydoc.getpager() + pager("\n".join(help_text)) + else: + print("\n".join(help_text)) + +def _lookfor_generate_cache(module, import_modules, regenerate): + """ + Generate docstring cache for given module. + + Parameters + ---------- + module : str, None, module + Module for which to generate docstring cache + import_modules : bool + Whether to import sub-modules in packages. + regenerate : bool + Re-generate the docstring cache + + Returns + ------- + cache : dict {obj_full_name: (docstring, kind, index), ...} + Docstring cache for the module, either cached one (regenerate=False) + or newly generated. + + """ + # Local import to speed up numpy's import time. + import inspect + + from io import StringIO + + if module is None: + module = "numpy" + + if isinstance(module, str): + try: + __import__(module) + except ImportError: + return {} + module = sys.modules[module] + elif isinstance(module, list) or isinstance(module, tuple): + cache = {} + for mod in module: + cache.update(_lookfor_generate_cache(mod, import_modules, + regenerate)) + return cache + + if id(module) in _lookfor_caches and not regenerate: + return _lookfor_caches[id(module)] + + # walk items and collect docstrings + cache = {} + _lookfor_caches[id(module)] = cache + seen = {} + index = 0 + stack = [(module.__name__, module)] + while stack: + name, item = stack.pop(0) + if id(item) in seen: + continue + seen[id(item)] = True + + index += 1 + kind = "object" + + if inspect.ismodule(item): + kind = "module" + try: + _all = item.__all__ + except AttributeError: + _all = None + + # import sub-packages + if import_modules and hasattr(item, '__path__'): + for pth in item.__path__: + for mod_path in os.listdir(pth): + this_py = os.path.join(pth, mod_path) + init_py = os.path.join(pth, mod_path, '__init__.py') + if (os.path.isfile(this_py) and + mod_path.endswith('.py')): + to_import = mod_path[:-3] + elif os.path.isfile(init_py): + to_import = mod_path + else: + continue + if to_import == '__init__': + continue + + try: + old_stdout = sys.stdout + old_stderr = sys.stderr + try: + sys.stdout = StringIO() + sys.stderr = StringIO() + __import__("%s.%s" % (name, to_import)) + finally: + sys.stdout = old_stdout + sys.stderr = old_stderr + except KeyboardInterrupt: + # Assume keyboard interrupt came from a user + raise + except BaseException: + # Ignore also SystemExit and pytests.importorskip + # `Skipped` (these are BaseExceptions; gh-22345) + continue + + for n, v in _getmembers(item): + try: + item_name = getattr(v, '__name__', "%s.%s" % (name, n)) + mod_name = getattr(v, '__module__', None) + except NameError: + # ref. SWIG's global cvars + # NameError: Unknown C global variable + item_name = "%s.%s" % (name, n) + mod_name = None + if '.' not in item_name and mod_name: + item_name = "%s.%s" % (mod_name, item_name) + + if not item_name.startswith(name + '.'): + # don't crawl "foreign" objects + if isinstance(v, ufunc): + # ... unless they are ufuncs + pass + else: + continue + elif not (inspect.ismodule(v) or _all is None or n in _all): + continue + stack.append(("%s.%s" % (name, n), v)) + elif inspect.isclass(item): + kind = "class" + for n, v in _getmembers(item): + stack.append(("%s.%s" % (name, n), v)) + elif hasattr(item, "__call__"): + kind = "func" + + try: + doc = inspect.getdoc(item) + except NameError: + # ref SWIG's NameError: Unknown C global variable + doc = None + if doc is not None: + cache[name] = (doc, kind, index) + + return cache + +def _getmembers(item): + import inspect + try: + members = inspect.getmembers(item) + except Exception: + members = [(x, getattr(item, x)) for x in dir(item) + if hasattr(item, x)] + return members + + +def safe_eval(source): + """ + Protected string evaluation. + + Evaluate a string containing a Python literal expression without + allowing the execution of arbitrary non-literal code. + + .. warning:: + + This function is identical to :py:meth:`ast.literal_eval` and + has the same security implications. It may not always be safe + to evaluate large input strings. + + Parameters + ---------- + source : str + The string to evaluate. + + Returns + ------- + obj : object + The result of evaluating `source`. + + Raises + ------ + SyntaxError + If the code has invalid Python syntax, or if it contains + non-literal code. + + Examples + -------- + >>> np.safe_eval('1') + 1 + >>> np.safe_eval('[1, 2, 3]') + [1, 2, 3] + >>> np.safe_eval('{"foo": ("bar", 10.0)}') + {'foo': ('bar', 10.0)} + + >>> np.safe_eval('import os') + Traceback (most recent call last): + ... + SyntaxError: invalid syntax + + >>> np.safe_eval('open("/home/user/.ssh/id_dsa").read()') + Traceback (most recent call last): + ... + ValueError: malformed node or string: <_ast.Call object at 0x...> + + """ + # Local import to speed up numpy's import time. + import ast + return ast.literal_eval(source) + + +def _median_nancheck(data, result, axis): + """ + Utility function to check median result from data for NaN values at the end + and return NaN in that case. Input result can also be a MaskedArray. + + Parameters + ---------- + data : array + Sorted input data to median function + result : Array or MaskedArray + Result of median function. + axis : int + Axis along which the median was computed. + + Returns + ------- + result : scalar or ndarray + Median or NaN in axes which contained NaN in the input. If the input + was an array, NaN will be inserted in-place. If a scalar, either the + input itself or a scalar NaN. + """ + if data.size == 0: + return result + potential_nans = data.take(-1, axis=axis) + n = np.isnan(potential_nans) + # masked NaN values are ok, although for masked the copyto may fail for + # unmasked ones (this was always broken) when the result is a scalar. + if np.ma.isMaskedArray(n): + n = n.filled(False) + + if not n.any(): + return result + + # Without given output, it is possible that the current result is a + # numpy scalar, which is not writeable. If so, just return nan. + if isinstance(result, np.generic): + return potential_nans + + # Otherwise copy NaNs (if there are any) + np.copyto(result, potential_nans, where=n) + return result + +def _opt_info(): + """ + Returns a string contains the supported CPU features by the current build. + + The string format can be explained as follows: + - dispatched features that are supported by the running machine + end with `*`. + - dispatched features that are "not" supported by the running machine + end with `?`. + - remained features are representing the baseline. + """ + from numpy.core._multiarray_umath import ( + __cpu_features__, __cpu_baseline__, __cpu_dispatch__ + ) + + if len(__cpu_baseline__) == 0 and len(__cpu_dispatch__) == 0: + return '' + + enabled_features = ' '.join(__cpu_baseline__) + for feature in __cpu_dispatch__: + if __cpu_features__[feature]: + enabled_features += f" {feature}*" + else: + enabled_features += f" {feature}?" + + return enabled_features + + +def drop_metadata(dtype, /): + """ + Returns the dtype unchanged if it contained no metadata or a copy of the + dtype if it (or any of its structure dtypes) contained metadata. + + This utility is used by `np.save` and `np.savez` to drop metadata before + saving. + + .. note:: + + Due to its limitation this function may move to a more appropriate + home or change in the future and is considered semi-public API only. + + .. warning:: + + This function does not preserve more strange things like record dtypes + and user dtypes may simply return the wrong thing. If you need to be + sure about the latter, check the result with: + ``np.can_cast(new_dtype, dtype, casting="no")``. + + """ + if dtype.fields is not None: + found_metadata = dtype.metadata is not None + + names = [] + formats = [] + offsets = [] + titles = [] + for name, field in dtype.fields.items(): + field_dt = drop_metadata(field[0]) + if field_dt is not field[0]: + found_metadata = True + + names.append(name) + formats.append(field_dt) + offsets.append(field[1]) + titles.append(None if len(field) < 3 else field[2]) + + if not found_metadata: + return dtype + + structure = dict( + names=names, formats=formats, offsets=offsets, titles=titles, + itemsize=dtype.itemsize) + + # NOTE: Could pass (dtype.type, structure) to preserve record dtypes... + return np.dtype(structure, align=dtype.isalignedstruct) + elif dtype.subdtype is not None: + # subarray dtype + subdtype, shape = dtype.subdtype + new_subdtype = drop_metadata(subdtype) + if dtype.metadata is None and new_subdtype is subdtype: + return dtype + + return np.dtype((new_subdtype, shape)) + else: + # Normal unstructured dtype + if dtype.metadata is None: + return dtype + # Note that `dt.str` doesn't round-trip e.g. for user-dtypes. + return np.dtype(dtype.str) diff --git a/lib/python3.12/site-packages/numpy/lib/utils.pyi b/lib/python3.12/site-packages/numpy/lib/utils.pyi new file mode 100644 index 0000000000000000000000000000000000000000..52ca92774975c010cae5b8485eb8e162c5bd22ae --- /dev/null +++ b/lib/python3.12/site-packages/numpy/lib/utils.pyi @@ -0,0 +1,91 @@ +from ast import AST +from collections.abc import Callable, Mapping, Sequence +from typing import ( + Any, + overload, + TypeVar, + Protocol, +) + +from numpy import ndarray, generic + +from numpy.core.numerictypes import ( + issubclass_ as issubclass_, + issubdtype as issubdtype, + issubsctype as issubsctype, +) + +_T_contra = TypeVar("_T_contra", contravariant=True) +_FuncType = TypeVar("_FuncType", bound=Callable[..., Any]) + +# A file-like object opened in `w` mode +class _SupportsWrite(Protocol[_T_contra]): + def write(self, s: _T_contra, /) -> Any: ... + +__all__: list[str] + +class _Deprecate: + old_name: None | str + new_name: None | str + message: None | str + def __init__( + self, + old_name: None | str = ..., + new_name: None | str = ..., + message: None | str = ..., + ) -> None: ... + # NOTE: `__call__` can in principle take arbitrary `*args` and `**kwargs`, + # even though they aren't used for anything + def __call__(self, func: _FuncType) -> _FuncType: ... + +def get_include() -> str: ... + +@overload +def deprecate( + *, + old_name: None | str = ..., + new_name: None | str = ..., + message: None | str = ..., +) -> _Deprecate: ... +@overload +def deprecate( + func: _FuncType, + /, + old_name: None | str = ..., + new_name: None | str = ..., + message: None | str = ..., +) -> _FuncType: ... + +def deprecate_with_doc(msg: None | str) -> _Deprecate: ... + +# NOTE: In practice `byte_bounds` can (potentially) take any object +# implementing the `__array_interface__` protocol. The caveat is +# that certain keys, marked as optional in the spec, must be present for +# `byte_bounds`. This concerns `"strides"` and `"data"`. +def byte_bounds(a: generic | ndarray[Any, Any]) -> tuple[int, int]: ... + +def who(vardict: None | Mapping[str, ndarray[Any, Any]] = ...) -> None: ... + +def info( + object: object = ..., + maxwidth: int = ..., + output: None | _SupportsWrite[str] = ..., + toplevel: str = ..., +) -> None: ... + +def source( + object: object, + output: None | _SupportsWrite[str] = ..., +) -> None: ... + +def lookfor( + what: str, + module: None | str | Sequence[str] = ..., + import_modules: bool = ..., + regenerate: bool = ..., + output: None | _SupportsWrite[str] =..., +) -> None: ... + +def safe_eval(source: str | AST) -> Any: ... + +def show_runtime() -> None: ... diff --git a/lib/python3.12/site-packages/numpy/ma/API_CHANGES.txt b/lib/python3.12/site-packages/numpy/ma/API_CHANGES.txt new file mode 100644 index 0000000000000000000000000000000000000000..a3d792a1fad983fc0b8403870c2e2d801dabf314 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/ma/API_CHANGES.txt @@ -0,0 +1,135 @@ +.. -*- rest -*- + +================================================== +API changes in the new masked array implementation +================================================== + +Masked arrays are subclasses of ndarray +--------------------------------------- + +Contrary to the original implementation, masked arrays are now regular +ndarrays:: + + >>> x = masked_array([1,2,3],mask=[0,0,1]) + >>> print isinstance(x, numpy.ndarray) + True + + +``_data`` returns a view of the masked array +-------------------------------------------- + +Masked arrays are composed of a ``_data`` part and a ``_mask``. Accessing the +``_data`` part will return a regular ndarray or any of its subclass, depending +on the initial data:: + + >>> x = masked_array(numpy.matrix([[1,2],[3,4]]),mask=[[0,0],[0,1]]) + >>> print x._data + [[1 2] + [3 4]] + >>> print type(x._data) + + + +In practice, ``_data`` is implemented as a property, not as an attribute. +Therefore, you cannot access it directly, and some simple tests such as the +following one will fail:: + + >>>x._data is x._data + False + + +``filled(x)`` can return a subclass of ndarray +---------------------------------------------- +The function ``filled(a)`` returns an array of the same type as ``a._data``:: + + >>> x = masked_array(numpy.matrix([[1,2],[3,4]]),mask=[[0,0],[0,1]]) + >>> y = filled(x) + >>> print type(y) + + >>> print y + matrix([[ 1, 2], + [ 3, 999999]]) + + +``put``, ``putmask`` behave like their ndarray counterparts +----------------------------------------------------------- + +Previously, ``putmask`` was used like this:: + + mask = [False,True,True] + x = array([1,4,7],mask=mask) + putmask(x,mask,[3]) + +which translated to:: + + x[~mask] = [3] + +(Note that a ``True``-value in a mask suppresses a value.) + +In other words, the mask had the same length as ``x``, whereas +``values`` had ``sum(~mask)`` elements. + +Now, the behaviour is similar to that of ``ndarray.putmask``, where +the mask and the values are both the same length as ``x``, i.e. + +:: + + putmask(x,mask,[3,0,0]) + + +``fill_value`` is a property +---------------------------- + +``fill_value`` is no longer a method, but a property:: + + >>> print x.fill_value + 999999 + +``cumsum`` and ``cumprod`` ignore missing values +------------------------------------------------ + +Missing values are assumed to be the identity element, i.e. 0 for +``cumsum`` and 1 for ``cumprod``:: + + >>> x = N.ma.array([1,2,3,4],mask=[False,True,False,False]) + >>> print x + [1 -- 3 4] + >>> print x.cumsum() + [1 -- 4 8] + >> print x.cumprod() + [1 -- 3 12] + +``bool(x)`` raises a ValueError +------------------------------- + +Masked arrays now behave like regular ``ndarrays``, in that they cannot be +converted to booleans: + +:: + + >>> x = N.ma.array([1,2,3]) + >>> bool(x) + Traceback (most recent call last): + File "", line 1, in + ValueError: The truth value of an array with more than one element is ambiguous. Use a.any() or a.all() + + +================================== +New features (non exhaustive list) +================================== + +``mr_`` +------- + +``mr_`` mimics the behavior of ``r_`` for masked arrays:: + + >>> np.ma.mr_[3,4,5] + masked_array(data = [3 4 5], + mask = False, + fill_value=999999) + + +``anom`` +-------- + +The ``anom`` method returns the deviations from the average (anomalies). diff --git a/lib/python3.12/site-packages/numpy/ma/LICENSE b/lib/python3.12/site-packages/numpy/ma/LICENSE new file mode 100644 index 0000000000000000000000000000000000000000..b41aae0c89a0f2486843d395f972db759c73c4b8 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/ma/LICENSE @@ -0,0 +1,24 @@ +* Copyright (c) 2006, University of Georgia and Pierre G.F. Gerard-Marchant +* All rights reserved. +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions are met: +* +* * Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* * Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in the +* documentation and/or other materials provided with the distribution. +* * Neither the name of the University of Georgia nor the +* names of its contributors may be used to endorse or promote products +* derived from this software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND ANY +* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED +* WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE +* DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE FOR ANY +* DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES +* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND +* ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT +* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS +* SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. \ No newline at end of file diff --git a/lib/python3.12/site-packages/numpy/ma/README.rst b/lib/python3.12/site-packages/numpy/ma/README.rst new file mode 100644 index 0000000000000000000000000000000000000000..47f20d6458e835319252a327d31f77531ab14e8c --- /dev/null +++ b/lib/python3.12/site-packages/numpy/ma/README.rst @@ -0,0 +1,236 @@ +================================== +A Guide to Masked Arrays in NumPy +================================== + +.. Contents:: + +See http://www.scipy.org/scipy/numpy/wiki/MaskedArray (dead link) +for updates of this document. + + +History +------- + +As a regular user of MaskedArray, I (Pierre G.F. Gerard-Marchant) became +increasingly frustrated with the subclassing of masked arrays (even if +I can only blame my inexperience). I needed to develop a class of arrays +that could store some additional information along with numerical values, +while keeping the possibility for missing data (picture storing a series +of dates along with measurements, what would later become the `TimeSeries +Scikit `__ +(dead link). + +I started to implement such a class, but then quickly realized that +any additional information disappeared when processing these subarrays +(for example, adding a constant value to a subarray would erase its +dates). I ended up writing the equivalent of *numpy.core.ma* for my +particular class, ufuncs included. Everything went fine until I needed to +subclass my new class, when more problems showed up: some attributes of +the new subclass were lost during processing. I identified the culprit as +MaskedArray, which returns masked ndarrays when I expected masked +arrays of my class. I was preparing myself to rewrite *numpy.core.ma* +when I forced myself to learn how to subclass ndarrays. As I became more +familiar with the *__new__* and *__array_finalize__* methods, +I started to wonder why masked arrays were objects, and not ndarrays, +and whether it wouldn't be more convenient for subclassing if they did +behave like regular ndarrays. + +The new *maskedarray* is what I eventually come up with. The +main differences with the initial *numpy.core.ma* package are +that MaskedArray is now a subclass of *ndarray* and that the +*_data* section can now be any subclass of *ndarray*. Apart from a +couple of issues listed below, the behavior of the new MaskedArray +class reproduces the old one. Initially the *maskedarray* +implementation was marginally slower than *numpy.ma* in some areas, +but work is underway to speed it up; the expectation is that it can be +made substantially faster than the present *numpy.ma*. + + +Note that if the subclass has some special methods and +attributes, they are not propagated to the masked version: +this would require a modification of the *__getattribute__* +method (first trying *ndarray.__getattribute__*, then trying +*self._data.__getattribute__* if an exception is raised in the first +place), which really slows things down. + +Main differences +---------------- + + * The *_data* part of the masked array can be any subclass of ndarray (but not recarray, cf below). + * *fill_value* is now a property, not a function. + * in the majority of cases, the mask is forced to *nomask* when no value is actually masked. A notable exception is when a masked array (with no masked values) has just been unpickled. + * I got rid of the *share_mask* flag, I never understood its purpose. + * *put*, *putmask* and *take* now mimic the ndarray methods, to avoid unpleasant surprises. Moreover, *put* and *putmask* both update the mask when needed. * if *a* is a masked array, *bool(a)* raises a *ValueError*, as it does with ndarrays. + * in the same way, the comparison of two masked arrays is a masked array, not a boolean + * *filled(a)* returns an array of the same subclass as *a._data*, and no test is performed on whether it is contiguous or not. + * the mask is always printed, even if it's *nomask*, which makes things easy (for me at least) to remember that a masked array is used. + * *cumsum* works as if the *_data* array was filled with 0. The mask is preserved, but not updated. + * *cumprod* works as if the *_data* array was filled with 1. The mask is preserved, but not updated. + +New features +------------ + +This list is non-exhaustive... + + * the *mr_* function mimics *r_* for masked arrays. + * the *anom* method returns the anomalies (deviations from the average) + +Using the new package with numpy.core.ma +---------------------------------------- + +I tried to make sure that the new package can understand old masked +arrays. Unfortunately, there's no upward compatibility. + +For example: + +>>> import numpy.core.ma as old_ma +>>> import maskedarray as new_ma +>>> x = old_ma.array([1,2,3,4,5], mask=[0,0,1,0,0]) +>>> x +array(data = + [ 1 2 999999 4 5], + mask = + [False False True False False], + fill_value=999999) +>>> y = new_ma.array([1,2,3,4,5], mask=[0,0,1,0,0]) +>>> y +array(data = [1 2 -- 4 5], + mask = [False False True False False], + fill_value=999999) +>>> x==y +array(data = + [True True True True True], + mask = + [False False True False False], + fill_value=?) +>>> old_ma.getmask(x) == new_ma.getmask(x) +array([True, True, True, True, True]) +>>> old_ma.getmask(y) == new_ma.getmask(y) +array([True, True, False, True, True]) +>>> old_ma.getmask(y) +False + + +Using maskedarray with matplotlib +--------------------------------- + +Starting with matplotlib 0.91.2, the masked array importing will work with +the maskedarray branch) as well as with earlier versions. + +By default matplotlib still uses numpy.ma, but there is an rcParams setting +that you can use to select maskedarray instead. In the matplotlibrc file +you will find:: + + #maskedarray : False # True to use external maskedarray module + # instead of numpy.ma; this is a temporary # + setting for testing maskedarray. + + +Uncomment and set to True to select maskedarray everywhere. +Alternatively, you can test a script with maskedarray by using a +command-line option, e.g.:: + + python simple_plot.py --maskedarray + + +Masked records +-------------- + +Like *numpy.core.ma*, the *ndarray*-based implementation +of MaskedArray is limited when working with records: you can +mask any record of the array, but not a field in a record. If you +need this feature, you may want to give the *mrecords* package +a try (available in the *maskedarray* directory in the scipy +sandbox). This module defines a new class, *MaskedRecord*. An +instance of this class accepts a *recarray* as data, and uses two +masks: the *fieldmask* has as many entries as records in the array, +each entry with the same fields as a record, but of boolean types: +they indicate whether the field is masked or not; a record entry +is flagged as masked in the *mask* array if all the fields are +masked. A few examples in the file should give you an idea of what +can be done. Note that *mrecords* is still experimental... + +Optimizing maskedarray +---------------------- + +Should masked arrays be filled before processing or not? +-------------------------------------------------------- + +In the current implementation, most operations on masked arrays involve +the following steps: + + * the input arrays are filled + * the operation is performed on the filled arrays + * the mask is set for the results, from the combination of the input masks and the mask corresponding to the domain of the operation. + +For example, consider the division of two masked arrays:: + + import numpy + import maskedarray as ma + x = ma.array([1,2,3,4],mask=[1,0,0,0], dtype=numpy.float_) + y = ma.array([-1,0,1,2], mask=[0,0,0,1], dtype=numpy.float_) + +The division of x by y is then computed as:: + + d1 = x.filled(0) # d1 = array([0., 2., 3., 4.]) + d2 = y.filled(1) # array([-1., 0., 1., 1.]) + m = ma.mask_or(ma.getmask(x), ma.getmask(y)) # m = + array([True,False,False,True]) + dm = ma.divide.domain(d1,d2) # array([False, True, False, False]) + result = (d1/d2).view(MaskedArray) # masked_array([-0. inf, 3., 4.]) + result._mask = logical_or(m, dm) + +Note that a division by zero takes place. To avoid it, we can consider +to fill the input arrays, taking the domain mask into account, so that:: + + d1 = x._data.copy() # d1 = array([1., 2., 3., 4.]) + d2 = y._data.copy() # array([-1., 0., 1., 2.]) + dm = ma.divide.domain(d1,d2) # array([False, True, False, False]) + numpy.putmask(d2, dm, 1) # d2 = array([-1., 1., 1., 2.]) + m = ma.mask_or(ma.getmask(x), ma.getmask(y)) # m = + array([True,False,False,True]) + result = (d1/d2).view(MaskedArray) # masked_array([-1. 0., 3., 2.]) + result._mask = logical_or(m, dm) + +Note that the *.copy()* is required to avoid updating the inputs with +*putmask*. The *.filled()* method also involves a *.copy()*. + +A third possibility consists in avoid filling the arrays:: + + d1 = x._data # d1 = array([1., 2., 3., 4.]) + d2 = y._data # array([-1., 0., 1., 2.]) + dm = ma.divide.domain(d1,d2) # array([False, True, False, False]) + m = ma.mask_or(ma.getmask(x), ma.getmask(y)) # m = + array([True,False,False,True]) + result = (d1/d2).view(MaskedArray) # masked_array([-1. inf, 3., 2.]) + result._mask = logical_or(m, dm) + +Note that here again the division by zero takes place. + +A quick benchmark gives the following results: + + * *numpy.ma.divide* : 2.69 ms per loop + * classical division : 2.21 ms per loop + * division w/ prefilling : 2.34 ms per loop + * division w/o filling : 1.55 ms per loop + +So, is it worth filling the arrays beforehand ? Yes, if we are interested +in avoiding floating-point exceptions that may fill the result with infs +and nans. No, if we are only interested into speed... + + +Thanks +------ + +I'd like to thank Paul Dubois, Travis Oliphant and Sasha for the +original masked array package: without you, I would never have started +that (it might be argued that I shouldn't have anyway, but that's +another story...). I also wish to extend these thanks to Reggie Dugard +and Eric Firing for their suggestions and numerous improvements. + + +Revision notes +-------------- + + * 08/25/2007 : Creation of this page + * 01/23/2007 : The package has been moved to the SciPy sandbox, and is regularly updated: please check out your SVN version! diff --git a/lib/python3.12/site-packages/numpy/ma/__init__.py b/lib/python3.12/site-packages/numpy/ma/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..870cc4ef2daabf7ac770415f73940b3edfd2477c --- /dev/null +++ b/lib/python3.12/site-packages/numpy/ma/__init__.py @@ -0,0 +1,54 @@ +""" +============= +Masked Arrays +============= + +Arrays sometimes contain invalid or missing data. When doing operations +on such arrays, we wish to suppress invalid values, which is the purpose masked +arrays fulfill (an example of typical use is given below). + +For example, examine the following array: + +>>> x = np.array([2, 1, 3, np.nan, 5, 2, 3, np.nan]) + +When we try to calculate the mean of the data, the result is undetermined: + +>>> np.mean(x) +nan + +The mean is calculated using roughly ``np.sum(x)/len(x)``, but since +any number added to ``NaN`` [1]_ produces ``NaN``, this doesn't work. Enter +masked arrays: + +>>> m = np.ma.masked_array(x, np.isnan(x)) +>>> m +masked_array(data = [2.0 1.0 3.0 -- 5.0 2.0 3.0 --], + mask = [False False False True False False False True], + fill_value=1e+20) + +Here, we construct a masked array that suppress all ``NaN`` values. We +may now proceed to calculate the mean of the other values: + +>>> np.mean(m) +2.6666666666666665 + +.. [1] Not-a-Number, a floating point value that is the result of an + invalid operation. + +.. moduleauthor:: Pierre Gerard-Marchant +.. moduleauthor:: Jarrod Millman + +""" +from . import core +from .core import * + +from . import extras +from .extras import * + +__all__ = ['core', 'extras'] +__all__ += core.__all__ +__all__ += extras.__all__ + +from numpy._pytesttester import PytestTester +test = PytestTester(__name__) +del PytestTester diff --git a/lib/python3.12/site-packages/numpy/ma/__init__.pyi b/lib/python3.12/site-packages/numpy/ma/__init__.pyi new file mode 100644 index 0000000000000000000000000000000000000000..ce72383e5ea3d62d763e74a48694202425f10558 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/ma/__init__.pyi @@ -0,0 +1,234 @@ +from numpy._pytesttester import PytestTester + +from numpy.ma import extras as extras + +from numpy.ma.core import ( + MAError as MAError, + MaskError as MaskError, + MaskType as MaskType, + MaskedArray as MaskedArray, + abs as abs, + absolute as absolute, + add as add, + all as all, + allclose as allclose, + allequal as allequal, + alltrue as alltrue, + amax as amax, + amin as amin, + angle as angle, + anom as anom, + anomalies as anomalies, + any as any, + append as append, + arange as arange, + arccos as arccos, + arccosh as arccosh, + arcsin as arcsin, + arcsinh as arcsinh, + arctan as arctan, + arctan2 as arctan2, + arctanh as arctanh, + argmax as argmax, + argmin as argmin, + argsort as argsort, + around as around, + array as array, + asanyarray as asanyarray, + asarray as asarray, + bitwise_and as bitwise_and, + bitwise_or as bitwise_or, + bitwise_xor as bitwise_xor, + bool_ as bool_, + ceil as ceil, + choose as choose, + clip as clip, + common_fill_value as common_fill_value, + compress as compress, + compressed as compressed, + concatenate as concatenate, + conjugate as conjugate, + convolve as convolve, + copy as copy, + correlate as correlate, + cos as cos, + cosh as cosh, + count as count, + cumprod as cumprod, + cumsum as cumsum, + default_fill_value as default_fill_value, + diag as diag, + diagonal as diagonal, + diff as diff, + divide as divide, + empty as empty, + empty_like as empty_like, + equal as equal, + exp as exp, + expand_dims as expand_dims, + fabs as fabs, + filled as filled, + fix_invalid as fix_invalid, + flatten_mask as flatten_mask, + flatten_structured_array as flatten_structured_array, + floor as floor, + floor_divide as floor_divide, + fmod as fmod, + frombuffer as frombuffer, + fromflex as fromflex, + fromfunction as fromfunction, + getdata as getdata, + getmask as getmask, + getmaskarray as getmaskarray, + greater as greater, + greater_equal as greater_equal, + harden_mask as harden_mask, + hypot as hypot, + identity as identity, + ids as ids, + indices as indices, + inner as inner, + innerproduct as innerproduct, + isMA as isMA, + isMaskedArray as isMaskedArray, + is_mask as is_mask, + is_masked as is_masked, + isarray as isarray, + left_shift as left_shift, + less as less, + less_equal as less_equal, + log as log, + log10 as log10, + log2 as log2, + logical_and as logical_and, + logical_not as logical_not, + logical_or as logical_or, + logical_xor as logical_xor, + make_mask as make_mask, + make_mask_descr as make_mask_descr, + make_mask_none as make_mask_none, + mask_or as mask_or, + masked as masked, + masked_array as masked_array, + masked_equal as masked_equal, + masked_greater as masked_greater, + masked_greater_equal as masked_greater_equal, + masked_inside as masked_inside, + masked_invalid as masked_invalid, + masked_less as masked_less, + masked_less_equal as masked_less_equal, + masked_not_equal as masked_not_equal, + masked_object as masked_object, + masked_outside as masked_outside, + masked_print_option as masked_print_option, + masked_singleton as masked_singleton, + masked_values as masked_values, + masked_where as masked_where, + max as max, + maximum as maximum, + maximum_fill_value as maximum_fill_value, + mean as mean, + min as min, + minimum as minimum, + minimum_fill_value as minimum_fill_value, + mod as mod, + multiply as multiply, + mvoid as mvoid, + ndim as ndim, + negative as negative, + nomask as nomask, + nonzero as nonzero, + not_equal as not_equal, + ones as ones, + outer as outer, + outerproduct as outerproduct, + power as power, + prod as prod, + product as product, + ptp as ptp, + put as put, + putmask as putmask, + ravel as ravel, + remainder as remainder, + repeat as repeat, + reshape as reshape, + resize as resize, + right_shift as right_shift, + round as round, + set_fill_value as set_fill_value, + shape as shape, + sin as sin, + sinh as sinh, + size as size, + soften_mask as soften_mask, + sometrue as sometrue, + sort as sort, + sqrt as sqrt, + squeeze as squeeze, + std as std, + subtract as subtract, + sum as sum, + swapaxes as swapaxes, + take as take, + tan as tan, + tanh as tanh, + trace as trace, + transpose as transpose, + true_divide as true_divide, + var as var, + where as where, + zeros as zeros, +) + +from numpy.ma.extras import ( + apply_along_axis as apply_along_axis, + apply_over_axes as apply_over_axes, + atleast_1d as atleast_1d, + atleast_2d as atleast_2d, + atleast_3d as atleast_3d, + average as average, + clump_masked as clump_masked, + clump_unmasked as clump_unmasked, + column_stack as column_stack, + compress_cols as compress_cols, + compress_nd as compress_nd, + compress_rowcols as compress_rowcols, + compress_rows as compress_rows, + count_masked as count_masked, + corrcoef as corrcoef, + cov as cov, + diagflat as diagflat, + dot as dot, + dstack as dstack, + ediff1d as ediff1d, + flatnotmasked_contiguous as flatnotmasked_contiguous, + flatnotmasked_edges as flatnotmasked_edges, + hsplit as hsplit, + hstack as hstack, + isin as isin, + in1d as in1d, + intersect1d as intersect1d, + mask_cols as mask_cols, + mask_rowcols as mask_rowcols, + mask_rows as mask_rows, + masked_all as masked_all, + masked_all_like as masked_all_like, + median as median, + mr_ as mr_, + ndenumerate as ndenumerate, + notmasked_contiguous as notmasked_contiguous, + notmasked_edges as notmasked_edges, + polyfit as polyfit, + row_stack as row_stack, + setdiff1d as setdiff1d, + setxor1d as setxor1d, + stack as stack, + unique as unique, + union1d as union1d, + vander as vander, + vstack as vstack, +) + +__all__: list[str] +__path__: list[str] +test: PytestTester diff --git a/lib/python3.12/site-packages/numpy/ma/__pycache__/__init__.cpython-312.pyc b/lib/python3.12/site-packages/numpy/ma/__pycache__/__init__.cpython-312.pyc new file mode 100644 index 0000000000000000000000000000000000000000..7ae23d4ab492764846f5cba5d797bb6391d4362b Binary files /dev/null and b/lib/python3.12/site-packages/numpy/ma/__pycache__/__init__.cpython-312.pyc differ diff --git a/lib/python3.12/site-packages/numpy/ma/__pycache__/extras.cpython-312.pyc b/lib/python3.12/site-packages/numpy/ma/__pycache__/extras.cpython-312.pyc new file mode 100644 index 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0000000000000000000000000000000000000000..16f74e89e9023fffef14b459fb21736f3219ac2f --- /dev/null +++ b/lib/python3.12/site-packages/numpy/ma/core.py @@ -0,0 +1,8565 @@ +""" +numpy.ma : a package to handle missing or invalid values. + +This package was initially written for numarray by Paul F. Dubois +at Lawrence Livermore National Laboratory. +In 2006, the package was completely rewritten by Pierre Gerard-Marchant +(University of Georgia) to make the MaskedArray class a subclass of ndarray, +and to improve support of structured arrays. + + +Copyright 1999, 2000, 2001 Regents of the University of California. +Released for unlimited redistribution. + +* Adapted for numpy_core 2005 by Travis Oliphant and (mainly) Paul Dubois. +* Subclassing of the base `ndarray` 2006 by Pierre Gerard-Marchant + (pgmdevlist_AT_gmail_DOT_com) +* Improvements suggested by Reggie Dugard (reggie_AT_merfinllc_DOT_com) + +.. moduleauthor:: Pierre Gerard-Marchant + +""" +# pylint: disable-msg=E1002 +import builtins +import inspect +import operator +import warnings +import textwrap +import re +from functools import reduce + +import numpy as np +import numpy.core.umath as umath +import numpy.core.numerictypes as ntypes +from numpy.core import multiarray as mu +from numpy import ndarray, amax, amin, iscomplexobj, bool_, _NoValue +from numpy import array as narray +from numpy.lib.function_base import angle +from numpy.compat import ( + getargspec, formatargspec, long, unicode, bytes + ) +from numpy import expand_dims +from numpy.core.numeric import normalize_axis_tuple + + +__all__ = [ + 'MAError', 'MaskError', 'MaskType', 'MaskedArray', 'abs', 'absolute', + 'add', 'all', 'allclose', 'allequal', 'alltrue', 'amax', 'amin', + 'angle', 'anom', 'anomalies', 'any', 'append', 'arange', 'arccos', + 'arccosh', 'arcsin', 'arcsinh', 'arctan', 'arctan2', 'arctanh', + 'argmax', 'argmin', 'argsort', 'around', 'array', 'asanyarray', + 'asarray', 'bitwise_and', 'bitwise_or', 'bitwise_xor', 'bool_', 'ceil', + 'choose', 'clip', 'common_fill_value', 'compress', 'compressed', + 'concatenate', 'conjugate', 'convolve', 'copy', 'correlate', 'cos', 'cosh', + 'count', 'cumprod', 'cumsum', 'default_fill_value', 'diag', 'diagonal', + 'diff', 'divide', 'empty', 'empty_like', 'equal', 'exp', + 'expand_dims', 'fabs', 'filled', 'fix_invalid', 'flatten_mask', + 'flatten_structured_array', 'floor', 'floor_divide', 'fmod', + 'frombuffer', 'fromflex', 'fromfunction', 'getdata', 'getmask', + 'getmaskarray', 'greater', 'greater_equal', 'harden_mask', 'hypot', + 'identity', 'ids', 'indices', 'inner', 'innerproduct', 'isMA', + 'isMaskedArray', 'is_mask', 'is_masked', 'isarray', 'left_shift', + 'less', 'less_equal', 'log', 'log10', 'log2', + 'logical_and', 'logical_not', 'logical_or', 'logical_xor', 'make_mask', + 'make_mask_descr', 'make_mask_none', 'mask_or', 'masked', + 'masked_array', 'masked_equal', 'masked_greater', + 'masked_greater_equal', 'masked_inside', 'masked_invalid', + 'masked_less', 'masked_less_equal', 'masked_not_equal', + 'masked_object', 'masked_outside', 'masked_print_option', + 'masked_singleton', 'masked_values', 'masked_where', 'max', 'maximum', + 'maximum_fill_value', 'mean', 'min', 'minimum', 'minimum_fill_value', + 'mod', 'multiply', 'mvoid', 'ndim', 'negative', 'nomask', 'nonzero', + 'not_equal', 'ones', 'ones_like', 'outer', 'outerproduct', 'power', 'prod', + 'product', 'ptp', 'put', 'putmask', 'ravel', 'remainder', + 'repeat', 'reshape', 'resize', 'right_shift', 'round', 'round_', + 'set_fill_value', 'shape', 'sin', 'sinh', 'size', 'soften_mask', + 'sometrue', 'sort', 'sqrt', 'squeeze', 'std', 'subtract', 'sum', + 'swapaxes', 'take', 'tan', 'tanh', 'trace', 'transpose', 'true_divide', + 'var', 'where', 'zeros', 'zeros_like', + ] + +MaskType = np.bool_ +nomask = MaskType(0) + +class MaskedArrayFutureWarning(FutureWarning): + pass + +def _deprecate_argsort_axis(arr): + """ + Adjust the axis passed to argsort, warning if necessary + + Parameters + ---------- + arr + The array which argsort was called on + + np.ma.argsort has a long-term bug where the default of the axis argument + is wrong (gh-8701), which now must be kept for backwards compatibility. + Thankfully, this only makes a difference when arrays are 2- or more- + dimensional, so we only need a warning then. + """ + if arr.ndim <= 1: + # no warning needed - but switch to -1 anyway, to avoid surprising + # subclasses, which are more likely to implement scalar axes. + return -1 + else: + # 2017-04-11, Numpy 1.13.0, gh-8701: warn on axis default + warnings.warn( + "In the future the default for argsort will be axis=-1, not the " + "current None, to match its documentation and np.argsort. " + "Explicitly pass -1 or None to silence this warning.", + MaskedArrayFutureWarning, stacklevel=3) + return None + + +def doc_note(initialdoc, note): + """ + Adds a Notes section to an existing docstring. + + """ + if initialdoc is None: + return + if note is None: + return initialdoc + + notesplit = re.split(r'\n\s*?Notes\n\s*?-----', inspect.cleandoc(initialdoc)) + notedoc = "\n\nNotes\n-----\n%s\n" % inspect.cleandoc(note) + + return ''.join(notesplit[:1] + [notedoc] + notesplit[1:]) + + +def get_object_signature(obj): + """ + Get the signature from obj + + """ + try: + sig = formatargspec(*getargspec(obj)) + except TypeError: + sig = '' + return sig + + +############################################################################### +# Exceptions # +############################################################################### + + +class MAError(Exception): + """ + Class for masked array related errors. + + """ + pass + + +class MaskError(MAError): + """ + Class for mask related errors. + + """ + pass + + +############################################################################### +# Filling options # +############################################################################### + + +# b: boolean - c: complex - f: floats - i: integer - O: object - S: string +default_filler = {'b': True, + 'c': 1.e20 + 0.0j, + 'f': 1.e20, + 'i': 999999, + 'O': '?', + 'S': b'N/A', + 'u': 999999, + 'V': b'???', + 'U': 'N/A' + } + +# Add datetime64 and timedelta64 types +for v in ["Y", "M", "W", "D", "h", "m", "s", "ms", "us", "ns", "ps", + "fs", "as"]: + default_filler["M8[" + v + "]"] = np.datetime64("NaT", v) + default_filler["m8[" + v + "]"] = np.timedelta64("NaT", v) + +float_types_list = [np.half, np.single, np.double, np.longdouble, + np.csingle, np.cdouble, np.clongdouble] +max_filler = ntypes._minvals +max_filler.update([(k, -np.inf) for k in float_types_list[:4]]) +max_filler.update([(k, complex(-np.inf, -np.inf)) for k in float_types_list[-3:]]) + +min_filler = ntypes._maxvals +min_filler.update([(k, +np.inf) for k in float_types_list[:4]]) +min_filler.update([(k, complex(+np.inf, +np.inf)) for k in float_types_list[-3:]]) + +del float_types_list + +def _recursive_fill_value(dtype, f): + """ + Recursively produce a fill value for `dtype`, calling f on scalar dtypes + """ + if dtype.names is not None: + # We wrap into `array` here, which ensures we use NumPy cast rules + # for integer casts, this allows the use of 99999 as a fill value + # for int8. + # TODO: This is probably a mess, but should best preserve behavior? + vals = tuple( + np.array(_recursive_fill_value(dtype[name], f)) + for name in dtype.names) + return np.array(vals, dtype=dtype)[()] # decay to void scalar from 0d + elif dtype.subdtype: + subtype, shape = dtype.subdtype + subval = _recursive_fill_value(subtype, f) + return np.full(shape, subval) + else: + return f(dtype) + + +def _get_dtype_of(obj): + """ Convert the argument for *_fill_value into a dtype """ + if isinstance(obj, np.dtype): + return obj + elif hasattr(obj, 'dtype'): + return obj.dtype + else: + return np.asanyarray(obj).dtype + + +def default_fill_value(obj): + """ + Return the default fill value for the argument object. + + The default filling value depends on the datatype of the input + array or the type of the input scalar: + + ======== ======== + datatype default + ======== ======== + bool True + int 999999 + float 1.e20 + complex 1.e20+0j + object '?' + string 'N/A' + ======== ======== + + For structured types, a structured scalar is returned, with each field the + default fill value for its type. + + For subarray types, the fill value is an array of the same size containing + the default scalar fill value. + + Parameters + ---------- + obj : ndarray, dtype or scalar + The array data-type or scalar for which the default fill value + is returned. + + Returns + ------- + fill_value : scalar + The default fill value. + + Examples + -------- + >>> np.ma.default_fill_value(1) + 999999 + >>> np.ma.default_fill_value(np.array([1.1, 2., np.pi])) + 1e+20 + >>> np.ma.default_fill_value(np.dtype(complex)) + (1e+20+0j) + + """ + def _scalar_fill_value(dtype): + if dtype.kind in 'Mm': + return default_filler.get(dtype.str[1:], '?') + else: + return default_filler.get(dtype.kind, '?') + + dtype = _get_dtype_of(obj) + return _recursive_fill_value(dtype, _scalar_fill_value) + + +def _extremum_fill_value(obj, extremum, extremum_name): + + def _scalar_fill_value(dtype): + try: + return extremum[dtype] + except KeyError as e: + raise TypeError( + f"Unsuitable type {dtype} for calculating {extremum_name}." + ) from None + + dtype = _get_dtype_of(obj) + return _recursive_fill_value(dtype, _scalar_fill_value) + + +def minimum_fill_value(obj): + """ + Return the maximum value that can be represented by the dtype of an object. + + This function is useful for calculating a fill value suitable for + taking the minimum of an array with a given dtype. + + Parameters + ---------- + obj : ndarray, dtype or scalar + An object that can be queried for it's numeric type. + + Returns + ------- + val : scalar + The maximum representable value. + + Raises + ------ + TypeError + If `obj` isn't a suitable numeric type. + + See Also + -------- + maximum_fill_value : The inverse function. + set_fill_value : Set the filling value of a masked array. + MaskedArray.fill_value : Return current fill value. + + Examples + -------- + >>> import numpy.ma as ma + >>> a = np.int8() + >>> ma.minimum_fill_value(a) + 127 + >>> a = np.int32() + >>> ma.minimum_fill_value(a) + 2147483647 + + An array of numeric data can also be passed. + + >>> a = np.array([1, 2, 3], dtype=np.int8) + >>> ma.minimum_fill_value(a) + 127 + >>> a = np.array([1, 2, 3], dtype=np.float32) + >>> ma.minimum_fill_value(a) + inf + + """ + return _extremum_fill_value(obj, min_filler, "minimum") + + +def maximum_fill_value(obj): + """ + Return the minimum value that can be represented by the dtype of an object. + + This function is useful for calculating a fill value suitable for + taking the maximum of an array with a given dtype. + + Parameters + ---------- + obj : ndarray, dtype or scalar + An object that can be queried for it's numeric type. + + Returns + ------- + val : scalar + The minimum representable value. + + Raises + ------ + TypeError + If `obj` isn't a suitable numeric type. + + See Also + -------- + minimum_fill_value : The inverse function. + set_fill_value : Set the filling value of a masked array. + MaskedArray.fill_value : Return current fill value. + + Examples + -------- + >>> import numpy.ma as ma + >>> a = np.int8() + >>> ma.maximum_fill_value(a) + -128 + >>> a = np.int32() + >>> ma.maximum_fill_value(a) + -2147483648 + + An array of numeric data can also be passed. + + >>> a = np.array([1, 2, 3], dtype=np.int8) + >>> ma.maximum_fill_value(a) + -128 + >>> a = np.array([1, 2, 3], dtype=np.float32) + >>> ma.maximum_fill_value(a) + -inf + + """ + return _extremum_fill_value(obj, max_filler, "maximum") + + +def _recursive_set_fill_value(fillvalue, dt): + """ + Create a fill value for a structured dtype. + + Parameters + ---------- + fillvalue : scalar or array_like + Scalar or array representing the fill value. If it is of shorter + length than the number of fields in dt, it will be resized. + dt : dtype + The structured dtype for which to create the fill value. + + Returns + ------- + val : tuple + A tuple of values corresponding to the structured fill value. + + """ + fillvalue = np.resize(fillvalue, len(dt.names)) + output_value = [] + for (fval, name) in zip(fillvalue, dt.names): + cdtype = dt[name] + if cdtype.subdtype: + cdtype = cdtype.subdtype[0] + + if cdtype.names is not None: + output_value.append(tuple(_recursive_set_fill_value(fval, cdtype))) + else: + output_value.append(np.array(fval, dtype=cdtype).item()) + return tuple(output_value) + + +def _check_fill_value(fill_value, ndtype): + """ + Private function validating the given `fill_value` for the given dtype. + + If fill_value is None, it is set to the default corresponding to the dtype. + + If fill_value is not None, its value is forced to the given dtype. + + The result is always a 0d array. + + """ + ndtype = np.dtype(ndtype) + if fill_value is None: + fill_value = default_fill_value(ndtype) + elif ndtype.names is not None: + if isinstance(fill_value, (ndarray, np.void)): + try: + fill_value = np.array(fill_value, copy=False, dtype=ndtype) + except ValueError as e: + err_msg = "Unable to transform %s to dtype %s" + raise ValueError(err_msg % (fill_value, ndtype)) from e + else: + fill_value = np.asarray(fill_value, dtype=object) + fill_value = np.array(_recursive_set_fill_value(fill_value, ndtype), + dtype=ndtype) + else: + if isinstance(fill_value, str) and (ndtype.char not in 'OSVU'): + # Note this check doesn't work if fill_value is not a scalar + err_msg = "Cannot set fill value of string with array of dtype %s" + raise TypeError(err_msg % ndtype) + else: + # In case we want to convert 1e20 to int. + # Also in case of converting string arrays. + try: + fill_value = np.array(fill_value, copy=False, dtype=ndtype) + except (OverflowError, ValueError) as e: + # Raise TypeError instead of OverflowError or ValueError. + # OverflowError is seldom used, and the real problem here is + # that the passed fill_value is not compatible with the ndtype. + err_msg = "Cannot convert fill_value %s to dtype %s" + raise TypeError(err_msg % (fill_value, ndtype)) from e + return np.array(fill_value) + + +def set_fill_value(a, fill_value): + """ + Set the filling value of a, if a is a masked array. + + This function changes the fill value of the masked array `a` in place. + If `a` is not a masked array, the function returns silently, without + doing anything. + + Parameters + ---------- + a : array_like + Input array. + fill_value : dtype + Filling value. A consistency test is performed to make sure + the value is compatible with the dtype of `a`. + + Returns + ------- + None + Nothing returned by this function. + + See Also + -------- + maximum_fill_value : Return the default fill value for a dtype. + MaskedArray.fill_value : Return current fill value. + MaskedArray.set_fill_value : Equivalent method. + + Examples + -------- + >>> import numpy.ma as ma + >>> a = np.arange(5) + >>> a + array([0, 1, 2, 3, 4]) + >>> a = ma.masked_where(a < 3, a) + >>> a + masked_array(data=[--, --, --, 3, 4], + mask=[ True, True, True, False, False], + fill_value=999999) + >>> ma.set_fill_value(a, -999) + >>> a + masked_array(data=[--, --, --, 3, 4], + mask=[ True, True, True, False, False], + fill_value=-999) + + Nothing happens if `a` is not a masked array. + + >>> a = list(range(5)) + >>> a + [0, 1, 2, 3, 4] + >>> ma.set_fill_value(a, 100) + >>> a + [0, 1, 2, 3, 4] + >>> a = np.arange(5) + >>> a + array([0, 1, 2, 3, 4]) + >>> ma.set_fill_value(a, 100) + >>> a + array([0, 1, 2, 3, 4]) + + """ + if isinstance(a, MaskedArray): + a.set_fill_value(fill_value) + return + + +def get_fill_value(a): + """ + Return the filling value of a, if any. Otherwise, returns the + default filling value for that type. + + """ + if isinstance(a, MaskedArray): + result = a.fill_value + else: + result = default_fill_value(a) + return result + + +def common_fill_value(a, b): + """ + Return the common filling value of two masked arrays, if any. + + If ``a.fill_value == b.fill_value``, return the fill value, + otherwise return None. + + Parameters + ---------- + a, b : MaskedArray + The masked arrays for which to compare fill values. + + Returns + ------- + fill_value : scalar or None + The common fill value, or None. + + Examples + -------- + >>> x = np.ma.array([0, 1.], fill_value=3) + >>> y = np.ma.array([0, 1.], fill_value=3) + >>> np.ma.common_fill_value(x, y) + 3.0 + + """ + t1 = get_fill_value(a) + t2 = get_fill_value(b) + if t1 == t2: + return t1 + return None + + +def filled(a, fill_value=None): + """ + Return input as an array with masked data replaced by a fill value. + + If `a` is not a `MaskedArray`, `a` itself is returned. + If `a` is a `MaskedArray` and `fill_value` is None, `fill_value` is set to + ``a.fill_value``. + + Parameters + ---------- + a : MaskedArray or array_like + An input object. + fill_value : array_like, optional. + Can be scalar or non-scalar. If non-scalar, the + resulting filled array should be broadcastable + over input array. Default is None. + + Returns + ------- + a : ndarray + The filled array. + + See Also + -------- + compressed + + Examples + -------- + >>> x = np.ma.array(np.arange(9).reshape(3, 3), mask=[[1, 0, 0], + ... [1, 0, 0], + ... [0, 0, 0]]) + >>> x.filled() + array([[999999, 1, 2], + [999999, 4, 5], + [ 6, 7, 8]]) + >>> x.filled(fill_value=333) + array([[333, 1, 2], + [333, 4, 5], + [ 6, 7, 8]]) + >>> x.filled(fill_value=np.arange(3)) + array([[0, 1, 2], + [0, 4, 5], + [6, 7, 8]]) + + """ + if hasattr(a, 'filled'): + return a.filled(fill_value) + + elif isinstance(a, ndarray): + # Should we check for contiguity ? and a.flags['CONTIGUOUS']: + return a + elif isinstance(a, dict): + return np.array(a, 'O') + else: + return np.array(a) + + +def get_masked_subclass(*arrays): + """ + Return the youngest subclass of MaskedArray from a list of (masked) arrays. + + In case of siblings, the first listed takes over. + + """ + if len(arrays) == 1: + arr = arrays[0] + if isinstance(arr, MaskedArray): + rcls = type(arr) + else: + rcls = MaskedArray + else: + arrcls = [type(a) for a in arrays] + rcls = arrcls[0] + if not issubclass(rcls, MaskedArray): + rcls = MaskedArray + for cls in arrcls[1:]: + if issubclass(cls, rcls): + rcls = cls + # Don't return MaskedConstant as result: revert to MaskedArray + if rcls.__name__ == 'MaskedConstant': + return MaskedArray + return rcls + + +def getdata(a, subok=True): + """ + Return the data of a masked array as an ndarray. + + Return the data of `a` (if any) as an ndarray if `a` is a ``MaskedArray``, + else return `a` as a ndarray or subclass (depending on `subok`) if not. + + Parameters + ---------- + a : array_like + Input ``MaskedArray``, alternatively a ndarray or a subclass thereof. + subok : bool + Whether to force the output to be a `pure` ndarray (False) or to + return a subclass of ndarray if appropriate (True, default). + + See Also + -------- + getmask : Return the mask of a masked array, or nomask. + getmaskarray : Return the mask of a masked array, or full array of False. + + Examples + -------- + >>> import numpy.ma as ma + >>> a = ma.masked_equal([[1,2],[3,4]], 2) + >>> a + masked_array( + data=[[1, --], + [3, 4]], + mask=[[False, True], + [False, False]], + fill_value=2) + >>> ma.getdata(a) + array([[1, 2], + [3, 4]]) + + Equivalently use the ``MaskedArray`` `data` attribute. + + >>> a.data + array([[1, 2], + [3, 4]]) + + """ + try: + data = a._data + except AttributeError: + data = np.array(a, copy=False, subok=subok) + if not subok: + return data.view(ndarray) + return data + + +get_data = getdata + + +def fix_invalid(a, mask=nomask, copy=True, fill_value=None): + """ + Return input with invalid data masked and replaced by a fill value. + + Invalid data means values of `nan`, `inf`, etc. + + Parameters + ---------- + a : array_like + Input array, a (subclass of) ndarray. + mask : sequence, optional + Mask. Must be convertible to an array of booleans with the same + shape as `data`. True indicates a masked (i.e. invalid) data. + copy : bool, optional + Whether to use a copy of `a` (True) or to fix `a` in place (False). + Default is True. + fill_value : scalar, optional + Value used for fixing invalid data. Default is None, in which case + the ``a.fill_value`` is used. + + Returns + ------- + b : MaskedArray + The input array with invalid entries fixed. + + Notes + ----- + A copy is performed by default. + + Examples + -------- + >>> x = np.ma.array([1., -1, np.nan, np.inf], mask=[1] + [0]*3) + >>> x + masked_array(data=[--, -1.0, nan, inf], + mask=[ True, False, False, False], + fill_value=1e+20) + >>> np.ma.fix_invalid(x) + masked_array(data=[--, -1.0, --, --], + mask=[ True, False, True, True], + fill_value=1e+20) + + >>> fixed = np.ma.fix_invalid(x) + >>> fixed.data + array([ 1.e+00, -1.e+00, 1.e+20, 1.e+20]) + >>> x.data + array([ 1., -1., nan, inf]) + + """ + a = masked_array(a, copy=copy, mask=mask, subok=True) + invalid = np.logical_not(np.isfinite(a._data)) + if not invalid.any(): + return a + a._mask |= invalid + if fill_value is None: + fill_value = a.fill_value + a._data[invalid] = fill_value + return a + +def is_string_or_list_of_strings(val): + return (isinstance(val, str) or + (isinstance(val, list) and val and + builtins.all(isinstance(s, str) for s in val))) + +############################################################################### +# Ufuncs # +############################################################################### + + +ufunc_domain = {} +ufunc_fills = {} + + +class _DomainCheckInterval: + """ + Define a valid interval, so that : + + ``domain_check_interval(a,b)(x) == True`` where + ``x < a`` or ``x > b``. + + """ + + def __init__(self, a, b): + "domain_check_interval(a,b)(x) = true where x < a or y > b" + if a > b: + (a, b) = (b, a) + self.a = a + self.b = b + + def __call__(self, x): + "Execute the call behavior." + # nans at masked positions cause RuntimeWarnings, even though + # they are masked. To avoid this we suppress warnings. + with np.errstate(invalid='ignore'): + return umath.logical_or(umath.greater(x, self.b), + umath.less(x, self.a)) + + +class _DomainTan: + """ + Define a valid interval for the `tan` function, so that: + + ``domain_tan(eps) = True`` where ``abs(cos(x)) < eps`` + + """ + + def __init__(self, eps): + "domain_tan(eps) = true where abs(cos(x)) < eps)" + self.eps = eps + + def __call__(self, x): + "Executes the call behavior." + with np.errstate(invalid='ignore'): + return umath.less(umath.absolute(umath.cos(x)), self.eps) + + +class _DomainSafeDivide: + """ + Define a domain for safe division. + + """ + + def __init__(self, tolerance=None): + self.tolerance = tolerance + + def __call__(self, a, b): + # Delay the selection of the tolerance to here in order to reduce numpy + # import times. The calculation of these parameters is a substantial + # component of numpy's import time. + if self.tolerance is None: + self.tolerance = np.finfo(float).tiny + # don't call ma ufuncs from __array_wrap__ which would fail for scalars + a, b = np.asarray(a), np.asarray(b) + with np.errstate(invalid='ignore'): + return umath.absolute(a) * self.tolerance >= umath.absolute(b) + + +class _DomainGreater: + """ + DomainGreater(v)(x) is True where x <= v. + + """ + + def __init__(self, critical_value): + "DomainGreater(v)(x) = true where x <= v" + self.critical_value = critical_value + + def __call__(self, x): + "Executes the call behavior." + with np.errstate(invalid='ignore'): + return umath.less_equal(x, self.critical_value) + + +class _DomainGreaterEqual: + """ + DomainGreaterEqual(v)(x) is True where x < v. + + """ + + def __init__(self, critical_value): + "DomainGreaterEqual(v)(x) = true where x < v" + self.critical_value = critical_value + + def __call__(self, x): + "Executes the call behavior." + with np.errstate(invalid='ignore'): + return umath.less(x, self.critical_value) + + +class _MaskedUFunc: + def __init__(self, ufunc): + self.f = ufunc + self.__doc__ = ufunc.__doc__ + self.__name__ = ufunc.__name__ + + def __str__(self): + return f"Masked version of {self.f}" + + +class _MaskedUnaryOperation(_MaskedUFunc): + """ + Defines masked version of unary operations, where invalid values are + pre-masked. + + Parameters + ---------- + mufunc : callable + The function for which to define a masked version. Made available + as ``_MaskedUnaryOperation.f``. + fill : scalar, optional + Filling value, default is 0. + domain : class instance + Domain for the function. Should be one of the ``_Domain*`` + classes. Default is None. + + """ + + def __init__(self, mufunc, fill=0, domain=None): + super().__init__(mufunc) + self.fill = fill + self.domain = domain + ufunc_domain[mufunc] = domain + ufunc_fills[mufunc] = fill + + def __call__(self, a, *args, **kwargs): + """ + Execute the call behavior. + + """ + d = getdata(a) + # Deal with domain + if self.domain is not None: + # Case 1.1. : Domained function + # nans at masked positions cause RuntimeWarnings, even though + # they are masked. To avoid this we suppress warnings. + with np.errstate(divide='ignore', invalid='ignore'): + result = self.f(d, *args, **kwargs) + # Make a mask + m = ~umath.isfinite(result) + m |= self.domain(d) + m |= getmask(a) + else: + # Case 1.2. : Function without a domain + # Get the result and the mask + with np.errstate(divide='ignore', invalid='ignore'): + result = self.f(d, *args, **kwargs) + m = getmask(a) + + if not result.ndim: + # Case 2.1. : The result is scalarscalar + if m: + return masked + return result + + if m is not nomask: + # Case 2.2. The result is an array + # We need to fill the invalid data back w/ the input Now, + # that's plain silly: in C, we would just skip the element and + # keep the original, but we do have to do it that way in Python + + # In case result has a lower dtype than the inputs (as in + # equal) + try: + np.copyto(result, d, where=m) + except TypeError: + pass + # Transform to + masked_result = result.view(get_masked_subclass(a)) + masked_result._mask = m + masked_result._update_from(a) + return masked_result + + +class _MaskedBinaryOperation(_MaskedUFunc): + """ + Define masked version of binary operations, where invalid + values are pre-masked. + + Parameters + ---------- + mbfunc : function + The function for which to define a masked version. Made available + as ``_MaskedBinaryOperation.f``. + domain : class instance + Default domain for the function. Should be one of the ``_Domain*`` + classes. Default is None. + fillx : scalar, optional + Filling value for the first argument, default is 0. + filly : scalar, optional + Filling value for the second argument, default is 0. + + """ + + def __init__(self, mbfunc, fillx=0, filly=0): + """ + abfunc(fillx, filly) must be defined. + + abfunc(x, filly) = x for all x to enable reduce. + + """ + super().__init__(mbfunc) + self.fillx = fillx + self.filly = filly + ufunc_domain[mbfunc] = None + ufunc_fills[mbfunc] = (fillx, filly) + + def __call__(self, a, b, *args, **kwargs): + """ + Execute the call behavior. + + """ + # Get the data, as ndarray + (da, db) = (getdata(a), getdata(b)) + # Get the result + with np.errstate(): + np.seterr(divide='ignore', invalid='ignore') + result = self.f(da, db, *args, **kwargs) + # Get the mask for the result + (ma, mb) = (getmask(a), getmask(b)) + if ma is nomask: + if mb is nomask: + m = nomask + else: + m = umath.logical_or(getmaskarray(a), mb) + elif mb is nomask: + m = umath.logical_or(ma, getmaskarray(b)) + else: + m = umath.logical_or(ma, mb) + + # Case 1. : scalar + if not result.ndim: + if m: + return masked + return result + + # Case 2. : array + # Revert result to da where masked + if m is not nomask and m.any(): + # any errors, just abort; impossible to guarantee masked values + try: + np.copyto(result, da, casting='unsafe', where=m) + except Exception: + pass + + # Transforms to a (subclass of) MaskedArray + masked_result = result.view(get_masked_subclass(a, b)) + masked_result._mask = m + if isinstance(a, MaskedArray): + masked_result._update_from(a) + elif isinstance(b, MaskedArray): + masked_result._update_from(b) + return masked_result + + def reduce(self, target, axis=0, dtype=None): + """ + Reduce `target` along the given `axis`. + + """ + tclass = get_masked_subclass(target) + m = getmask(target) + t = filled(target, self.filly) + if t.shape == (): + t = t.reshape(1) + if m is not nomask: + m = make_mask(m, copy=True) + m.shape = (1,) + + if m is nomask: + tr = self.f.reduce(t, axis) + mr = nomask + else: + tr = self.f.reduce(t, axis, dtype=dtype) + mr = umath.logical_and.reduce(m, axis) + + if not tr.shape: + if mr: + return masked + else: + return tr + masked_tr = tr.view(tclass) + masked_tr._mask = mr + return masked_tr + + def outer(self, a, b): + """ + Return the function applied to the outer product of a and b. + + """ + (da, db) = (getdata(a), getdata(b)) + d = self.f.outer(da, db) + ma = getmask(a) + mb = getmask(b) + if ma is nomask and mb is nomask: + m = nomask + else: + ma = getmaskarray(a) + mb = getmaskarray(b) + m = umath.logical_or.outer(ma, mb) + if (not m.ndim) and m: + return masked + if m is not nomask: + np.copyto(d, da, where=m) + if not d.shape: + return d + masked_d = d.view(get_masked_subclass(a, b)) + masked_d._mask = m + return masked_d + + def accumulate(self, target, axis=0): + """Accumulate `target` along `axis` after filling with y fill + value. + + """ + tclass = get_masked_subclass(target) + t = filled(target, self.filly) + result = self.f.accumulate(t, axis) + masked_result = result.view(tclass) + return masked_result + + + +class _DomainedBinaryOperation(_MaskedUFunc): + """ + Define binary operations that have a domain, like divide. + + They have no reduce, outer or accumulate. + + Parameters + ---------- + mbfunc : function + The function for which to define a masked version. Made available + as ``_DomainedBinaryOperation.f``. + domain : class instance + Default domain for the function. Should be one of the ``_Domain*`` + classes. + fillx : scalar, optional + Filling value for the first argument, default is 0. + filly : scalar, optional + Filling value for the second argument, default is 0. + + """ + + def __init__(self, dbfunc, domain, fillx=0, filly=0): + """abfunc(fillx, filly) must be defined. + abfunc(x, filly) = x for all x to enable reduce. + """ + super().__init__(dbfunc) + self.domain = domain + self.fillx = fillx + self.filly = filly + ufunc_domain[dbfunc] = domain + ufunc_fills[dbfunc] = (fillx, filly) + + def __call__(self, a, b, *args, **kwargs): + "Execute the call behavior." + # Get the data + (da, db) = (getdata(a), getdata(b)) + # Get the result + with np.errstate(divide='ignore', invalid='ignore'): + result = self.f(da, db, *args, **kwargs) + # Get the mask as a combination of the source masks and invalid + m = ~umath.isfinite(result) + m |= getmask(a) + m |= getmask(b) + # Apply the domain + domain = ufunc_domain.get(self.f, None) + if domain is not None: + m |= domain(da, db) + # Take care of the scalar case first + if not m.ndim: + if m: + return masked + else: + return result + # When the mask is True, put back da if possible + # any errors, just abort; impossible to guarantee masked values + try: + np.copyto(result, 0, casting='unsafe', where=m) + # avoid using "*" since this may be overlaid + masked_da = umath.multiply(m, da) + # only add back if it can be cast safely + if np.can_cast(masked_da.dtype, result.dtype, casting='safe'): + result += masked_da + except Exception: + pass + + # Transforms to a (subclass of) MaskedArray + masked_result = result.view(get_masked_subclass(a, b)) + masked_result._mask = m + if isinstance(a, MaskedArray): + masked_result._update_from(a) + elif isinstance(b, MaskedArray): + masked_result._update_from(b) + return masked_result + + +# Unary ufuncs +exp = _MaskedUnaryOperation(umath.exp) +conjugate = _MaskedUnaryOperation(umath.conjugate) +sin = _MaskedUnaryOperation(umath.sin) +cos = _MaskedUnaryOperation(umath.cos) +arctan = _MaskedUnaryOperation(umath.arctan) +arcsinh = _MaskedUnaryOperation(umath.arcsinh) +sinh = _MaskedUnaryOperation(umath.sinh) +cosh = _MaskedUnaryOperation(umath.cosh) +tanh = _MaskedUnaryOperation(umath.tanh) +abs = absolute = _MaskedUnaryOperation(umath.absolute) +angle = _MaskedUnaryOperation(angle) # from numpy.lib.function_base +fabs = _MaskedUnaryOperation(umath.fabs) +negative = _MaskedUnaryOperation(umath.negative) +floor = _MaskedUnaryOperation(umath.floor) +ceil = _MaskedUnaryOperation(umath.ceil) +around = _MaskedUnaryOperation(np.round_) +logical_not = _MaskedUnaryOperation(umath.logical_not) + +# Domained unary ufuncs +sqrt = _MaskedUnaryOperation(umath.sqrt, 0.0, + _DomainGreaterEqual(0.0)) +log = _MaskedUnaryOperation(umath.log, 1.0, + _DomainGreater(0.0)) +log2 = _MaskedUnaryOperation(umath.log2, 1.0, + _DomainGreater(0.0)) +log10 = _MaskedUnaryOperation(umath.log10, 1.0, + _DomainGreater(0.0)) +tan = _MaskedUnaryOperation(umath.tan, 0.0, + _DomainTan(1e-35)) +arcsin = _MaskedUnaryOperation(umath.arcsin, 0.0, + _DomainCheckInterval(-1.0, 1.0)) +arccos = _MaskedUnaryOperation(umath.arccos, 0.0, + _DomainCheckInterval(-1.0, 1.0)) +arccosh = _MaskedUnaryOperation(umath.arccosh, 1.0, + _DomainGreaterEqual(1.0)) +arctanh = _MaskedUnaryOperation(umath.arctanh, 0.0, + _DomainCheckInterval(-1.0 + 1e-15, 1.0 - 1e-15)) + +# Binary ufuncs +add = _MaskedBinaryOperation(umath.add) +subtract = _MaskedBinaryOperation(umath.subtract) +multiply = _MaskedBinaryOperation(umath.multiply, 1, 1) +arctan2 = _MaskedBinaryOperation(umath.arctan2, 0.0, 1.0) +equal = _MaskedBinaryOperation(umath.equal) +equal.reduce = None +not_equal = _MaskedBinaryOperation(umath.not_equal) +not_equal.reduce = None +less_equal = _MaskedBinaryOperation(umath.less_equal) +less_equal.reduce = None +greater_equal = _MaskedBinaryOperation(umath.greater_equal) +greater_equal.reduce = None +less = _MaskedBinaryOperation(umath.less) +less.reduce = None +greater = _MaskedBinaryOperation(umath.greater) +greater.reduce = None +logical_and = _MaskedBinaryOperation(umath.logical_and) +alltrue = _MaskedBinaryOperation(umath.logical_and, 1, 1).reduce +logical_or = _MaskedBinaryOperation(umath.logical_or) +sometrue = logical_or.reduce +logical_xor = _MaskedBinaryOperation(umath.logical_xor) +bitwise_and = _MaskedBinaryOperation(umath.bitwise_and) +bitwise_or = _MaskedBinaryOperation(umath.bitwise_or) +bitwise_xor = _MaskedBinaryOperation(umath.bitwise_xor) +hypot = _MaskedBinaryOperation(umath.hypot) + +# Domained binary ufuncs +divide = _DomainedBinaryOperation(umath.divide, _DomainSafeDivide(), 0, 1) +true_divide = _DomainedBinaryOperation(umath.true_divide, + _DomainSafeDivide(), 0, 1) +floor_divide = _DomainedBinaryOperation(umath.floor_divide, + _DomainSafeDivide(), 0, 1) +remainder = _DomainedBinaryOperation(umath.remainder, + _DomainSafeDivide(), 0, 1) +fmod = _DomainedBinaryOperation(umath.fmod, _DomainSafeDivide(), 0, 1) +mod = _DomainedBinaryOperation(umath.mod, _DomainSafeDivide(), 0, 1) + + +############################################################################### +# Mask creation functions # +############################################################################### + + +def _replace_dtype_fields_recursive(dtype, primitive_dtype): + "Private function allowing recursion in _replace_dtype_fields." + _recurse = _replace_dtype_fields_recursive + + # Do we have some name fields ? + if dtype.names is not None: + descr = [] + for name in dtype.names: + field = dtype.fields[name] + if len(field) == 3: + # Prepend the title to the name + name = (field[-1], name) + descr.append((name, _recurse(field[0], primitive_dtype))) + new_dtype = np.dtype(descr) + + # Is this some kind of composite a la (float,2) + elif dtype.subdtype: + descr = list(dtype.subdtype) + descr[0] = _recurse(dtype.subdtype[0], primitive_dtype) + new_dtype = np.dtype(tuple(descr)) + + # this is a primitive type, so do a direct replacement + else: + new_dtype = primitive_dtype + + # preserve identity of dtypes + if new_dtype == dtype: + new_dtype = dtype + + return new_dtype + + +def _replace_dtype_fields(dtype, primitive_dtype): + """ + Construct a dtype description list from a given dtype. + + Returns a new dtype object, with all fields and subtypes in the given type + recursively replaced with `primitive_dtype`. + + Arguments are coerced to dtypes first. + """ + dtype = np.dtype(dtype) + primitive_dtype = np.dtype(primitive_dtype) + return _replace_dtype_fields_recursive(dtype, primitive_dtype) + + +def make_mask_descr(ndtype): + """ + Construct a dtype description list from a given dtype. + + Returns a new dtype object, with the type of all fields in `ndtype` to a + boolean type. Field names are not altered. + + Parameters + ---------- + ndtype : dtype + The dtype to convert. + + Returns + ------- + result : dtype + A dtype that looks like `ndtype`, the type of all fields is boolean. + + Examples + -------- + >>> import numpy.ma as ma + >>> dtype = np.dtype({'names':['foo', 'bar'], + ... 'formats':[np.float32, np.int64]}) + >>> dtype + dtype([('foo', '>> ma.make_mask_descr(dtype) + dtype([('foo', '|b1'), ('bar', '|b1')]) + >>> ma.make_mask_descr(np.float32) + dtype('bool') + + """ + return _replace_dtype_fields(ndtype, MaskType) + + +def getmask(a): + """ + Return the mask of a masked array, or nomask. + + Return the mask of `a` as an ndarray if `a` is a `MaskedArray` and the + mask is not `nomask`, else return `nomask`. To guarantee a full array + of booleans of the same shape as a, use `getmaskarray`. + + Parameters + ---------- + a : array_like + Input `MaskedArray` for which the mask is required. + + See Also + -------- + getdata : Return the data of a masked array as an ndarray. + getmaskarray : Return the mask of a masked array, or full array of False. + + Examples + -------- + >>> import numpy.ma as ma + >>> a = ma.masked_equal([[1,2],[3,4]], 2) + >>> a + masked_array( + data=[[1, --], + [3, 4]], + mask=[[False, True], + [False, False]], + fill_value=2) + >>> ma.getmask(a) + array([[False, True], + [False, False]]) + + Equivalently use the `MaskedArray` `mask` attribute. + + >>> a.mask + array([[False, True], + [False, False]]) + + Result when mask == `nomask` + + >>> b = ma.masked_array([[1,2],[3,4]]) + >>> b + masked_array( + data=[[1, 2], + [3, 4]], + mask=False, + fill_value=999999) + >>> ma.nomask + False + >>> ma.getmask(b) == ma.nomask + True + >>> b.mask == ma.nomask + True + + """ + return getattr(a, '_mask', nomask) + + +get_mask = getmask + + +def getmaskarray(arr): + """ + Return the mask of a masked array, or full boolean array of False. + + Return the mask of `arr` as an ndarray if `arr` is a `MaskedArray` and + the mask is not `nomask`, else return a full boolean array of False of + the same shape as `arr`. + + Parameters + ---------- + arr : array_like + Input `MaskedArray` for which the mask is required. + + See Also + -------- + getmask : Return the mask of a masked array, or nomask. + getdata : Return the data of a masked array as an ndarray. + + Examples + -------- + >>> import numpy.ma as ma + >>> a = ma.masked_equal([[1,2],[3,4]], 2) + >>> a + masked_array( + data=[[1, --], + [3, 4]], + mask=[[False, True], + [False, False]], + fill_value=2) + >>> ma.getmaskarray(a) + array([[False, True], + [False, False]]) + + Result when mask == ``nomask`` + + >>> b = ma.masked_array([[1,2],[3,4]]) + >>> b + masked_array( + data=[[1, 2], + [3, 4]], + mask=False, + fill_value=999999) + >>> ma.getmaskarray(b) + array([[False, False], + [False, False]]) + + """ + mask = getmask(arr) + if mask is nomask: + mask = make_mask_none(np.shape(arr), getattr(arr, 'dtype', None)) + return mask + + +def is_mask(m): + """ + Return True if m is a valid, standard mask. + + This function does not check the contents of the input, only that the + type is MaskType. In particular, this function returns False if the + mask has a flexible dtype. + + Parameters + ---------- + m : array_like + Array to test. + + Returns + ------- + result : bool + True if `m.dtype.type` is MaskType, False otherwise. + + See Also + -------- + ma.isMaskedArray : Test whether input is an instance of MaskedArray. + + Examples + -------- + >>> import numpy.ma as ma + >>> m = ma.masked_equal([0, 1, 0, 2, 3], 0) + >>> m + masked_array(data=[--, 1, --, 2, 3], + mask=[ True, False, True, False, False], + fill_value=0) + >>> ma.is_mask(m) + False + >>> ma.is_mask(m.mask) + True + + Input must be an ndarray (or have similar attributes) + for it to be considered a valid mask. + + >>> m = [False, True, False] + >>> ma.is_mask(m) + False + >>> m = np.array([False, True, False]) + >>> m + array([False, True, False]) + >>> ma.is_mask(m) + True + + Arrays with complex dtypes don't return True. + + >>> dtype = np.dtype({'names':['monty', 'pithon'], + ... 'formats':[bool, bool]}) + >>> dtype + dtype([('monty', '|b1'), ('pithon', '|b1')]) + >>> m = np.array([(True, False), (False, True), (True, False)], + ... dtype=dtype) + >>> m + array([( True, False), (False, True), ( True, False)], + dtype=[('monty', '?'), ('pithon', '?')]) + >>> ma.is_mask(m) + False + + """ + try: + return m.dtype.type is MaskType + except AttributeError: + return False + + +def _shrink_mask(m): + """ + Shrink a mask to nomask if possible + """ + if m.dtype.names is None and not m.any(): + return nomask + else: + return m + + +def make_mask(m, copy=False, shrink=True, dtype=MaskType): + """ + Create a boolean mask from an array. + + Return `m` as a boolean mask, creating a copy if necessary or requested. + The function can accept any sequence that is convertible to integers, + or ``nomask``. Does not require that contents must be 0s and 1s, values + of 0 are interpreted as False, everything else as True. + + Parameters + ---------- + m : array_like + Potential mask. + copy : bool, optional + Whether to return a copy of `m` (True) or `m` itself (False). + shrink : bool, optional + Whether to shrink `m` to ``nomask`` if all its values are False. + dtype : dtype, optional + Data-type of the output mask. By default, the output mask has a + dtype of MaskType (bool). If the dtype is flexible, each field has + a boolean dtype. This is ignored when `m` is ``nomask``, in which + case ``nomask`` is always returned. + + Returns + ------- + result : ndarray + A boolean mask derived from `m`. + + Examples + -------- + >>> import numpy.ma as ma + >>> m = [True, False, True, True] + >>> ma.make_mask(m) + array([ True, False, True, True]) + >>> m = [1, 0, 1, 1] + >>> ma.make_mask(m) + array([ True, False, True, True]) + >>> m = [1, 0, 2, -3] + >>> ma.make_mask(m) + array([ True, False, True, True]) + + Effect of the `shrink` parameter. + + >>> m = np.zeros(4) + >>> m + array([0., 0., 0., 0.]) + >>> ma.make_mask(m) + False + >>> ma.make_mask(m, shrink=False) + array([False, False, False, False]) + + Using a flexible `dtype`. + + >>> m = [1, 0, 1, 1] + >>> n = [0, 1, 0, 0] + >>> arr = [] + >>> for man, mouse in zip(m, n): + ... arr.append((man, mouse)) + >>> arr + [(1, 0), (0, 1), (1, 0), (1, 0)] + >>> dtype = np.dtype({'names':['man', 'mouse'], + ... 'formats':[np.int64, np.int64]}) + >>> arr = np.array(arr, dtype=dtype) + >>> arr + array([(1, 0), (0, 1), (1, 0), (1, 0)], + dtype=[('man', '>> ma.make_mask(arr, dtype=dtype) + array([(True, False), (False, True), (True, False), (True, False)], + dtype=[('man', '|b1'), ('mouse', '|b1')]) + + """ + if m is nomask: + return nomask + + # Make sure the input dtype is valid. + dtype = make_mask_descr(dtype) + + # legacy boolean special case: "existence of fields implies true" + if isinstance(m, ndarray) and m.dtype.fields and dtype == np.bool_: + return np.ones(m.shape, dtype=dtype) + + # Fill the mask in case there are missing data; turn it into an ndarray. + result = np.array(filled(m, True), copy=copy, dtype=dtype, subok=True) + # Bas les masques ! + if shrink: + result = _shrink_mask(result) + return result + + +def make_mask_none(newshape, dtype=None): + """ + Return a boolean mask of the given shape, filled with False. + + This function returns a boolean ndarray with all entries False, that can + be used in common mask manipulations. If a complex dtype is specified, the + type of each field is converted to a boolean type. + + Parameters + ---------- + newshape : tuple + A tuple indicating the shape of the mask. + dtype : {None, dtype}, optional + If None, use a MaskType instance. Otherwise, use a new datatype with + the same fields as `dtype`, converted to boolean types. + + Returns + ------- + result : ndarray + An ndarray of appropriate shape and dtype, filled with False. + + See Also + -------- + make_mask : Create a boolean mask from an array. + make_mask_descr : Construct a dtype description list from a given dtype. + + Examples + -------- + >>> import numpy.ma as ma + >>> ma.make_mask_none((3,)) + array([False, False, False]) + + Defining a more complex dtype. + + >>> dtype = np.dtype({'names':['foo', 'bar'], + ... 'formats':[np.float32, np.int64]}) + >>> dtype + dtype([('foo', '>> ma.make_mask_none((3,), dtype=dtype) + array([(False, False), (False, False), (False, False)], + dtype=[('foo', '|b1'), ('bar', '|b1')]) + + """ + if dtype is None: + result = np.zeros(newshape, dtype=MaskType) + else: + result = np.zeros(newshape, dtype=make_mask_descr(dtype)) + return result + + +def _recursive_mask_or(m1, m2, newmask): + names = m1.dtype.names + for name in names: + current1 = m1[name] + if current1.dtype.names is not None: + _recursive_mask_or(current1, m2[name], newmask[name]) + else: + umath.logical_or(current1, m2[name], newmask[name]) + + +def mask_or(m1, m2, copy=False, shrink=True): + """ + Combine two masks with the ``logical_or`` operator. + + The result may be a view on `m1` or `m2` if the other is `nomask` + (i.e. False). + + Parameters + ---------- + m1, m2 : array_like + Input masks. + copy : bool, optional + If copy is False and one of the inputs is `nomask`, return a view + of the other input mask. Defaults to False. + shrink : bool, optional + Whether to shrink the output to `nomask` if all its values are + False. Defaults to True. + + Returns + ------- + mask : output mask + The result masks values that are masked in either `m1` or `m2`. + + Raises + ------ + ValueError + If `m1` and `m2` have different flexible dtypes. + + Examples + -------- + >>> m1 = np.ma.make_mask([0, 1, 1, 0]) + >>> m2 = np.ma.make_mask([1, 0, 0, 0]) + >>> np.ma.mask_or(m1, m2) + array([ True, True, True, False]) + + """ + + if (m1 is nomask) or (m1 is False): + dtype = getattr(m2, 'dtype', MaskType) + return make_mask(m2, copy=copy, shrink=shrink, dtype=dtype) + if (m2 is nomask) or (m2 is False): + dtype = getattr(m1, 'dtype', MaskType) + return make_mask(m1, copy=copy, shrink=shrink, dtype=dtype) + if m1 is m2 and is_mask(m1): + return m1 + (dtype1, dtype2) = (getattr(m1, 'dtype', None), getattr(m2, 'dtype', None)) + if dtype1 != dtype2: + raise ValueError("Incompatible dtypes '%s'<>'%s'" % (dtype1, dtype2)) + if dtype1.names is not None: + # Allocate an output mask array with the properly broadcast shape. + newmask = np.empty(np.broadcast(m1, m2).shape, dtype1) + _recursive_mask_or(m1, m2, newmask) + return newmask + return make_mask(umath.logical_or(m1, m2), copy=copy, shrink=shrink) + + +def flatten_mask(mask): + """ + Returns a completely flattened version of the mask, where nested fields + are collapsed. + + Parameters + ---------- + mask : array_like + Input array, which will be interpreted as booleans. + + Returns + ------- + flattened_mask : ndarray of bools + The flattened input. + + Examples + -------- + >>> mask = np.array([0, 0, 1]) + >>> np.ma.flatten_mask(mask) + array([False, False, True]) + + >>> mask = np.array([(0, 0), (0, 1)], dtype=[('a', bool), ('b', bool)]) + >>> np.ma.flatten_mask(mask) + array([False, False, False, True]) + + >>> mdtype = [('a', bool), ('b', [('ba', bool), ('bb', bool)])] + >>> mask = np.array([(0, (0, 0)), (0, (0, 1))], dtype=mdtype) + >>> np.ma.flatten_mask(mask) + array([False, False, False, False, False, True]) + + """ + + def _flatmask(mask): + "Flatten the mask and returns a (maybe nested) sequence of booleans." + mnames = mask.dtype.names + if mnames is not None: + return [flatten_mask(mask[name]) for name in mnames] + else: + return mask + + def _flatsequence(sequence): + "Generates a flattened version of the sequence." + try: + for element in sequence: + if hasattr(element, '__iter__'): + yield from _flatsequence(element) + else: + yield element + except TypeError: + yield sequence + + mask = np.asarray(mask) + flattened = _flatsequence(_flatmask(mask)) + return np.array([_ for _ in flattened], dtype=bool) + + +def _check_mask_axis(mask, axis, keepdims=np._NoValue): + "Check whether there are masked values along the given axis" + kwargs = {} if keepdims is np._NoValue else {'keepdims': keepdims} + if mask is not nomask: + return mask.all(axis=axis, **kwargs) + return nomask + + +############################################################################### +# Masking functions # +############################################################################### + +def masked_where(condition, a, copy=True): + """ + Mask an array where a condition is met. + + Return `a` as an array masked where `condition` is True. + Any masked values of `a` or `condition` are also masked in the output. + + Parameters + ---------- + condition : array_like + Masking condition. When `condition` tests floating point values for + equality, consider using ``masked_values`` instead. + a : array_like + Array to mask. + copy : bool + If True (default) make a copy of `a` in the result. If False modify + `a` in place and return a view. + + Returns + ------- + result : MaskedArray + The result of masking `a` where `condition` is True. + + See Also + -------- + masked_values : Mask using floating point equality. + masked_equal : Mask where equal to a given value. + masked_not_equal : Mask where `not` equal to a given value. + masked_less_equal : Mask where less than or equal to a given value. + masked_greater_equal : Mask where greater than or equal to a given value. + masked_less : Mask where less than a given value. + masked_greater : Mask where greater than a given value. + masked_inside : Mask inside a given interval. + masked_outside : Mask outside a given interval. + masked_invalid : Mask invalid values (NaNs or infs). + + Examples + -------- + >>> import numpy.ma as ma + >>> a = np.arange(4) + >>> a + array([0, 1, 2, 3]) + >>> ma.masked_where(a <= 2, a) + masked_array(data=[--, --, --, 3], + mask=[ True, True, True, False], + fill_value=999999) + + Mask array `b` conditional on `a`. + + >>> b = ['a', 'b', 'c', 'd'] + >>> ma.masked_where(a == 2, b) + masked_array(data=['a', 'b', --, 'd'], + mask=[False, False, True, False], + fill_value='N/A', + dtype='>> c = ma.masked_where(a <= 2, a) + >>> c + masked_array(data=[--, --, --, 3], + mask=[ True, True, True, False], + fill_value=999999) + >>> c[0] = 99 + >>> c + masked_array(data=[99, --, --, 3], + mask=[False, True, True, False], + fill_value=999999) + >>> a + array([0, 1, 2, 3]) + >>> c = ma.masked_where(a <= 2, a, copy=False) + >>> c[0] = 99 + >>> c + masked_array(data=[99, --, --, 3], + mask=[False, True, True, False], + fill_value=999999) + >>> a + array([99, 1, 2, 3]) + + When `condition` or `a` contain masked values. + + >>> a = np.arange(4) + >>> a = ma.masked_where(a == 2, a) + >>> a + masked_array(data=[0, 1, --, 3], + mask=[False, False, True, False], + fill_value=999999) + >>> b = np.arange(4) + >>> b = ma.masked_where(b == 0, b) + >>> b + masked_array(data=[--, 1, 2, 3], + mask=[ True, False, False, False], + fill_value=999999) + >>> ma.masked_where(a == 3, b) + masked_array(data=[--, 1, --, --], + mask=[ True, False, True, True], + fill_value=999999) + + """ + # Make sure that condition is a valid standard-type mask. + cond = make_mask(condition, shrink=False) + a = np.array(a, copy=copy, subok=True) + + (cshape, ashape) = (cond.shape, a.shape) + if cshape and cshape != ashape: + raise IndexError("Inconsistent shape between the condition and the input" + " (got %s and %s)" % (cshape, ashape)) + if hasattr(a, '_mask'): + cond = mask_or(cond, a._mask) + cls = type(a) + else: + cls = MaskedArray + result = a.view(cls) + # Assign to *.mask so that structured masks are handled correctly. + result.mask = _shrink_mask(cond) + # There is no view of a boolean so when 'a' is a MaskedArray with nomask + # the update to the result's mask has no effect. + if not copy and hasattr(a, '_mask') and getmask(a) is nomask: + a._mask = result._mask.view() + return result + + +def masked_greater(x, value, copy=True): + """ + Mask an array where greater than a given value. + + This function is a shortcut to ``masked_where``, with + `condition` = (x > value). + + See Also + -------- + masked_where : Mask where a condition is met. + + Examples + -------- + >>> import numpy.ma as ma + >>> a = np.arange(4) + >>> a + array([0, 1, 2, 3]) + >>> ma.masked_greater(a, 2) + masked_array(data=[0, 1, 2, --], + mask=[False, False, False, True], + fill_value=999999) + + """ + return masked_where(greater(x, value), x, copy=copy) + + +def masked_greater_equal(x, value, copy=True): + """ + Mask an array where greater than or equal to a given value. + + This function is a shortcut to ``masked_where``, with + `condition` = (x >= value). + + See Also + -------- + masked_where : Mask where a condition is met. + + Examples + -------- + >>> import numpy.ma as ma + >>> a = np.arange(4) + >>> a + array([0, 1, 2, 3]) + >>> ma.masked_greater_equal(a, 2) + masked_array(data=[0, 1, --, --], + mask=[False, False, True, True], + fill_value=999999) + + """ + return masked_where(greater_equal(x, value), x, copy=copy) + + +def masked_less(x, value, copy=True): + """ + Mask an array where less than a given value. + + This function is a shortcut to ``masked_where``, with + `condition` = (x < value). + + See Also + -------- + masked_where : Mask where a condition is met. + + Examples + -------- + >>> import numpy.ma as ma + >>> a = np.arange(4) + >>> a + array([0, 1, 2, 3]) + >>> ma.masked_less(a, 2) + masked_array(data=[--, --, 2, 3], + mask=[ True, True, False, False], + fill_value=999999) + + """ + return masked_where(less(x, value), x, copy=copy) + + +def masked_less_equal(x, value, copy=True): + """ + Mask an array where less than or equal to a given value. + + This function is a shortcut to ``masked_where``, with + `condition` = (x <= value). + + See Also + -------- + masked_where : Mask where a condition is met. + + Examples + -------- + >>> import numpy.ma as ma + >>> a = np.arange(4) + >>> a + array([0, 1, 2, 3]) + >>> ma.masked_less_equal(a, 2) + masked_array(data=[--, --, --, 3], + mask=[ True, True, True, False], + fill_value=999999) + + """ + return masked_where(less_equal(x, value), x, copy=copy) + + +def masked_not_equal(x, value, copy=True): + """ + Mask an array where `not` equal to a given value. + + This function is a shortcut to ``masked_where``, with + `condition` = (x != value). + + See Also + -------- + masked_where : Mask where a condition is met. + + Examples + -------- + >>> import numpy.ma as ma + >>> a = np.arange(4) + >>> a + array([0, 1, 2, 3]) + >>> ma.masked_not_equal(a, 2) + masked_array(data=[--, --, 2, --], + mask=[ True, True, False, True], + fill_value=999999) + + """ + return masked_where(not_equal(x, value), x, copy=copy) + + +def masked_equal(x, value, copy=True): + """ + Mask an array where equal to a given value. + + Return a MaskedArray, masked where the data in array `x` are + equal to `value`. The fill_value of the returned MaskedArray + is set to `value`. + + For floating point arrays, consider using ``masked_values(x, value)``. + + See Also + -------- + masked_where : Mask where a condition is met. + masked_values : Mask using floating point equality. + + Examples + -------- + >>> import numpy.ma as ma + >>> a = np.arange(4) + >>> a + array([0, 1, 2, 3]) + >>> ma.masked_equal(a, 2) + masked_array(data=[0, 1, --, 3], + mask=[False, False, True, False], + fill_value=2) + + """ + output = masked_where(equal(x, value), x, copy=copy) + output.fill_value = value + return output + + +def masked_inside(x, v1, v2, copy=True): + """ + Mask an array inside a given interval. + + Shortcut to ``masked_where``, where `condition` is True for `x` inside + the interval [v1,v2] (v1 <= x <= v2). The boundaries `v1` and `v2` + can be given in either order. + + See Also + -------- + masked_where : Mask where a condition is met. + + Notes + ----- + The array `x` is prefilled with its filling value. + + Examples + -------- + >>> import numpy.ma as ma + >>> x = [0.31, 1.2, 0.01, 0.2, -0.4, -1.1] + >>> ma.masked_inside(x, -0.3, 0.3) + masked_array(data=[0.31, 1.2, --, --, -0.4, -1.1], + mask=[False, False, True, True, False, False], + fill_value=1e+20) + + The order of `v1` and `v2` doesn't matter. + + >>> ma.masked_inside(x, 0.3, -0.3) + masked_array(data=[0.31, 1.2, --, --, -0.4, -1.1], + mask=[False, False, True, True, False, False], + fill_value=1e+20) + + """ + if v2 < v1: + (v1, v2) = (v2, v1) + xf = filled(x) + condition = (xf >= v1) & (xf <= v2) + return masked_where(condition, x, copy=copy) + + +def masked_outside(x, v1, v2, copy=True): + """ + Mask an array outside a given interval. + + Shortcut to ``masked_where``, where `condition` is True for `x` outside + the interval [v1,v2] (x < v1)|(x > v2). + The boundaries `v1` and `v2` can be given in either order. + + See Also + -------- + masked_where : Mask where a condition is met. + + Notes + ----- + The array `x` is prefilled with its filling value. + + Examples + -------- + >>> import numpy.ma as ma + >>> x = [0.31, 1.2, 0.01, 0.2, -0.4, -1.1] + >>> ma.masked_outside(x, -0.3, 0.3) + masked_array(data=[--, --, 0.01, 0.2, --, --], + mask=[ True, True, False, False, True, True], + fill_value=1e+20) + + The order of `v1` and `v2` doesn't matter. + + >>> ma.masked_outside(x, 0.3, -0.3) + masked_array(data=[--, --, 0.01, 0.2, --, --], + mask=[ True, True, False, False, True, True], + fill_value=1e+20) + + """ + if v2 < v1: + (v1, v2) = (v2, v1) + xf = filled(x) + condition = (xf < v1) | (xf > v2) + return masked_where(condition, x, copy=copy) + + +def masked_object(x, value, copy=True, shrink=True): + """ + Mask the array `x` where the data are exactly equal to value. + + This function is similar to `masked_values`, but only suitable + for object arrays: for floating point, use `masked_values` instead. + + Parameters + ---------- + x : array_like + Array to mask + value : object + Comparison value + copy : {True, False}, optional + Whether to return a copy of `x`. + shrink : {True, False}, optional + Whether to collapse a mask full of False to nomask + + Returns + ------- + result : MaskedArray + The result of masking `x` where equal to `value`. + + See Also + -------- + masked_where : Mask where a condition is met. + masked_equal : Mask where equal to a given value (integers). + masked_values : Mask using floating point equality. + + Examples + -------- + >>> import numpy.ma as ma + >>> food = np.array(['green_eggs', 'ham'], dtype=object) + >>> # don't eat spoiled food + >>> eat = ma.masked_object(food, 'green_eggs') + >>> eat + masked_array(data=[--, 'ham'], + mask=[ True, False], + fill_value='green_eggs', + dtype=object) + >>> # plain ol` ham is boring + >>> fresh_food = np.array(['cheese', 'ham', 'pineapple'], dtype=object) + >>> eat = ma.masked_object(fresh_food, 'green_eggs') + >>> eat + masked_array(data=['cheese', 'ham', 'pineapple'], + mask=False, + fill_value='green_eggs', + dtype=object) + + Note that `mask` is set to ``nomask`` if possible. + + >>> eat + masked_array(data=['cheese', 'ham', 'pineapple'], + mask=False, + fill_value='green_eggs', + dtype=object) + + """ + if isMaskedArray(x): + condition = umath.equal(x._data, value) + mask = x._mask + else: + condition = umath.equal(np.asarray(x), value) + mask = nomask + mask = mask_or(mask, make_mask(condition, shrink=shrink)) + return masked_array(x, mask=mask, copy=copy, fill_value=value) + + +def masked_values(x, value, rtol=1e-5, atol=1e-8, copy=True, shrink=True): + """ + Mask using floating point equality. + + Return a MaskedArray, masked where the data in array `x` are approximately + equal to `value`, determined using `isclose`. The default tolerances for + `masked_values` are the same as those for `isclose`. + + For integer types, exact equality is used, in the same way as + `masked_equal`. + + The fill_value is set to `value` and the mask is set to ``nomask`` if + possible. + + Parameters + ---------- + x : array_like + Array to mask. + value : float + Masking value. + rtol, atol : float, optional + Tolerance parameters passed on to `isclose` + copy : bool, optional + Whether to return a copy of `x`. + shrink : bool, optional + Whether to collapse a mask full of False to ``nomask``. + + Returns + ------- + result : MaskedArray + The result of masking `x` where approximately equal to `value`. + + See Also + -------- + masked_where : Mask where a condition is met. + masked_equal : Mask where equal to a given value (integers). + + Examples + -------- + >>> import numpy.ma as ma + >>> x = np.array([1, 1.1, 2, 1.1, 3]) + >>> ma.masked_values(x, 1.1) + masked_array(data=[1.0, --, 2.0, --, 3.0], + mask=[False, True, False, True, False], + fill_value=1.1) + + Note that `mask` is set to ``nomask`` if possible. + + >>> ma.masked_values(x, 2.1) + masked_array(data=[1. , 1.1, 2. , 1.1, 3. ], + mask=False, + fill_value=2.1) + + Unlike `masked_equal`, `masked_values` can perform approximate equalities. + + >>> ma.masked_values(x, 2.1, atol=1e-1) + masked_array(data=[1.0, 1.1, --, 1.1, 3.0], + mask=[False, False, True, False, False], + fill_value=2.1) + + """ + xnew = filled(x, value) + if np.issubdtype(xnew.dtype, np.floating): + mask = np.isclose(xnew, value, atol=atol, rtol=rtol) + else: + mask = umath.equal(xnew, value) + ret = masked_array(xnew, mask=mask, copy=copy, fill_value=value) + if shrink: + ret.shrink_mask() + return ret + + +def masked_invalid(a, copy=True): + """ + Mask an array where invalid values occur (NaNs or infs). + + This function is a shortcut to ``masked_where``, with + `condition` = ~(np.isfinite(a)). Any pre-existing mask is conserved. + Only applies to arrays with a dtype where NaNs or infs make sense + (i.e. floating point types), but accepts any array_like object. + + See Also + -------- + masked_where : Mask where a condition is met. + + Examples + -------- + >>> import numpy.ma as ma + >>> a = np.arange(5, dtype=float) + >>> a[2] = np.NaN + >>> a[3] = np.PINF + >>> a + array([ 0., 1., nan, inf, 4.]) + >>> ma.masked_invalid(a) + masked_array(data=[0.0, 1.0, --, --, 4.0], + mask=[False, False, True, True, False], + fill_value=1e+20) + + """ + a = np.array(a, copy=False, subok=True) + res = masked_where(~(np.isfinite(a)), a, copy=copy) + # masked_invalid previously never returned nomask as a mask and doing so + # threw off matplotlib (gh-22842). So use shrink=False: + if res._mask is nomask: + res._mask = make_mask_none(res.shape, res.dtype) + return res + +############################################################################### +# Printing options # +############################################################################### + + +class _MaskedPrintOption: + """ + Handle the string used to represent missing data in a masked array. + + """ + + def __init__(self, display): + """ + Create the masked_print_option object. + + """ + self._display = display + self._enabled = True + + def display(self): + """ + Display the string to print for masked values. + + """ + return self._display + + def set_display(self, s): + """ + Set the string to print for masked values. + + """ + self._display = s + + def enabled(self): + """ + Is the use of the display value enabled? + + """ + return self._enabled + + def enable(self, shrink=1): + """ + Set the enabling shrink to `shrink`. + + """ + self._enabled = shrink + + def __str__(self): + return str(self._display) + + __repr__ = __str__ + +# if you single index into a masked location you get this object. +masked_print_option = _MaskedPrintOption('--') + + +def _recursive_printoption(result, mask, printopt): + """ + Puts printoptions in result where mask is True. + + Private function allowing for recursion + + """ + names = result.dtype.names + if names is not None: + for name in names: + curdata = result[name] + curmask = mask[name] + _recursive_printoption(curdata, curmask, printopt) + else: + np.copyto(result, printopt, where=mask) + return + +# For better or worse, these end in a newline +_legacy_print_templates = dict( + long_std=textwrap.dedent("""\ + masked_%(name)s(data = + %(data)s, + %(nlen)s mask = + %(mask)s, + %(nlen)s fill_value = %(fill)s) + """), + long_flx=textwrap.dedent("""\ + masked_%(name)s(data = + %(data)s, + %(nlen)s mask = + %(mask)s, + %(nlen)s fill_value = %(fill)s, + %(nlen)s dtype = %(dtype)s) + """), + short_std=textwrap.dedent("""\ + masked_%(name)s(data = %(data)s, + %(nlen)s mask = %(mask)s, + %(nlen)s fill_value = %(fill)s) + """), + short_flx=textwrap.dedent("""\ + masked_%(name)s(data = %(data)s, + %(nlen)s mask = %(mask)s, + %(nlen)s fill_value = %(fill)s, + %(nlen)s dtype = %(dtype)s) + """) +) + +############################################################################### +# MaskedArray class # +############################################################################### + + +def _recursive_filled(a, mask, fill_value): + """ + Recursively fill `a` with `fill_value`. + + """ + names = a.dtype.names + for name in names: + current = a[name] + if current.dtype.names is not None: + _recursive_filled(current, mask[name], fill_value[name]) + else: + np.copyto(current, fill_value[name], where=mask[name]) + + +def flatten_structured_array(a): + """ + Flatten a structured array. + + The data type of the output is chosen such that it can represent all of the + (nested) fields. + + Parameters + ---------- + a : structured array + + Returns + ------- + output : masked array or ndarray + A flattened masked array if the input is a masked array, otherwise a + standard ndarray. + + Examples + -------- + >>> ndtype = [('a', int), ('b', float)] + >>> a = np.array([(1, 1), (2, 2)], dtype=ndtype) + >>> np.ma.flatten_structured_array(a) + array([[1., 1.], + [2., 2.]]) + + """ + + def flatten_sequence(iterable): + """ + Flattens a compound of nested iterables. + + """ + for elm in iter(iterable): + if hasattr(elm, '__iter__'): + yield from flatten_sequence(elm) + else: + yield elm + + a = np.asanyarray(a) + inishape = a.shape + a = a.ravel() + if isinstance(a, MaskedArray): + out = np.array([tuple(flatten_sequence(d.item())) for d in a._data]) + out = out.view(MaskedArray) + out._mask = np.array([tuple(flatten_sequence(d.item())) + for d in getmaskarray(a)]) + else: + out = np.array([tuple(flatten_sequence(d.item())) for d in a]) + if len(inishape) > 1: + newshape = list(out.shape) + newshape[0] = inishape + out.shape = tuple(flatten_sequence(newshape)) + return out + + +def _arraymethod(funcname, onmask=True): + """ + Return a class method wrapper around a basic array method. + + Creates a class method which returns a masked array, where the new + ``_data`` array is the output of the corresponding basic method called + on the original ``_data``. + + If `onmask` is True, the new mask is the output of the method called + on the initial mask. Otherwise, the new mask is just a reference + to the initial mask. + + Parameters + ---------- + funcname : str + Name of the function to apply on data. + onmask : bool + Whether the mask must be processed also (True) or left + alone (False). Default is True. Make available as `_onmask` + attribute. + + Returns + ------- + method : instancemethod + Class method wrapper of the specified basic array method. + + """ + def wrapped_method(self, *args, **params): + result = getattr(self._data, funcname)(*args, **params) + result = result.view(type(self)) + result._update_from(self) + mask = self._mask + if not onmask: + result.__setmask__(mask) + elif mask is not nomask: + # __setmask__ makes a copy, which we don't want + result._mask = getattr(mask, funcname)(*args, **params) + return result + methdoc = getattr(ndarray, funcname, None) or getattr(np, funcname, None) + if methdoc is not None: + wrapped_method.__doc__ = methdoc.__doc__ + wrapped_method.__name__ = funcname + return wrapped_method + + +class MaskedIterator: + """ + Flat iterator object to iterate over masked arrays. + + A `MaskedIterator` iterator is returned by ``x.flat`` for any masked array + `x`. It allows iterating over the array as if it were a 1-D array, + either in a for-loop or by calling its `next` method. + + Iteration is done in C-contiguous style, with the last index varying the + fastest. The iterator can also be indexed using basic slicing or + advanced indexing. + + See Also + -------- + MaskedArray.flat : Return a flat iterator over an array. + MaskedArray.flatten : Returns a flattened copy of an array. + + Notes + ----- + `MaskedIterator` is not exported by the `ma` module. Instead of + instantiating a `MaskedIterator` directly, use `MaskedArray.flat`. + + Examples + -------- + >>> x = np.ma.array(arange(6).reshape(2, 3)) + >>> fl = x.flat + >>> type(fl) + + >>> for item in fl: + ... print(item) + ... + 0 + 1 + 2 + 3 + 4 + 5 + + Extracting more than a single element b indexing the `MaskedIterator` + returns a masked array: + + >>> fl[2:4] + masked_array(data = [2 3], + mask = False, + fill_value = 999999) + + """ + + def __init__(self, ma): + self.ma = ma + self.dataiter = ma._data.flat + + if ma._mask is nomask: + self.maskiter = None + else: + self.maskiter = ma._mask.flat + + def __iter__(self): + return self + + def __getitem__(self, indx): + result = self.dataiter.__getitem__(indx).view(type(self.ma)) + if self.maskiter is not None: + _mask = self.maskiter.__getitem__(indx) + if isinstance(_mask, ndarray): + # set shape to match that of data; this is needed for matrices + _mask.shape = result.shape + result._mask = _mask + elif isinstance(_mask, np.void): + return mvoid(result, mask=_mask, hardmask=self.ma._hardmask) + elif _mask: # Just a scalar, masked + return masked + return result + + # This won't work if ravel makes a copy + def __setitem__(self, index, value): + self.dataiter[index] = getdata(value) + if self.maskiter is not None: + self.maskiter[index] = getmaskarray(value) + + def __next__(self): + """ + Return the next value, or raise StopIteration. + + Examples + -------- + >>> x = np.ma.array([3, 2], mask=[0, 1]) + >>> fl = x.flat + >>> next(fl) + 3 + >>> next(fl) + masked + >>> next(fl) + Traceback (most recent call last): + ... + StopIteration + + """ + d = next(self.dataiter) + if self.maskiter is not None: + m = next(self.maskiter) + if isinstance(m, np.void): + return mvoid(d, mask=m, hardmask=self.ma._hardmask) + elif m: # Just a scalar, masked + return masked + return d + + +class MaskedArray(ndarray): + """ + An array class with possibly masked values. + + Masked values of True exclude the corresponding element from any + computation. + + Construction:: + + x = MaskedArray(data, mask=nomask, dtype=None, copy=False, subok=True, + ndmin=0, fill_value=None, keep_mask=True, hard_mask=None, + shrink=True, order=None) + + Parameters + ---------- + data : array_like + Input data. + mask : sequence, optional + Mask. Must be convertible to an array of booleans with the same + shape as `data`. True indicates a masked (i.e. invalid) data. + dtype : dtype, optional + Data type of the output. + If `dtype` is None, the type of the data argument (``data.dtype``) + is used. If `dtype` is not None and different from ``data.dtype``, + a copy is performed. + copy : bool, optional + Whether to copy the input data (True), or to use a reference instead. + Default is False. + subok : bool, optional + Whether to return a subclass of `MaskedArray` if possible (True) or a + plain `MaskedArray`. Default is True. + ndmin : int, optional + Minimum number of dimensions. Default is 0. + fill_value : scalar, optional + Value used to fill in the masked values when necessary. + If None, a default based on the data-type is used. + keep_mask : bool, optional + Whether to combine `mask` with the mask of the input data, if any + (True), or to use only `mask` for the output (False). Default is True. + hard_mask : bool, optional + Whether to use a hard mask or not. With a hard mask, masked values + cannot be unmasked. Default is False. + shrink : bool, optional + Whether to force compression of an empty mask. Default is True. + order : {'C', 'F', 'A'}, optional + Specify the order of the array. If order is 'C', then the array + will be in C-contiguous order (last-index varies the fastest). + If order is 'F', then the returned array will be in + Fortran-contiguous order (first-index varies the fastest). + If order is 'A' (default), then the returned array may be + in any order (either C-, Fortran-contiguous, or even discontiguous), + unless a copy is required, in which case it will be C-contiguous. + + Examples + -------- + + The ``mask`` can be initialized with an array of boolean values + with the same shape as ``data``. + + >>> data = np.arange(6).reshape((2, 3)) + >>> np.ma.MaskedArray(data, mask=[[False, True, False], + ... [False, False, True]]) + masked_array( + data=[[0, --, 2], + [3, 4, --]], + mask=[[False, True, False], + [False, False, True]], + fill_value=999999) + + Alternatively, the ``mask`` can be initialized to homogeneous boolean + array with the same shape as ``data`` by passing in a scalar + boolean value: + + >>> np.ma.MaskedArray(data, mask=False) + masked_array( + data=[[0, 1, 2], + [3, 4, 5]], + mask=[[False, False, False], + [False, False, False]], + fill_value=999999) + + >>> np.ma.MaskedArray(data, mask=True) + masked_array( + data=[[--, --, --], + [--, --, --]], + mask=[[ True, True, True], + [ True, True, True]], + fill_value=999999, + dtype=int64) + + .. note:: + The recommended practice for initializing ``mask`` with a scalar + boolean value is to use ``True``/``False`` rather than + ``np.True_``/``np.False_``. The reason is :attr:`nomask` + is represented internally as ``np.False_``. + + >>> np.False_ is np.ma.nomask + True + + """ + + __array_priority__ = 15 + _defaultmask = nomask + _defaulthardmask = False + _baseclass = ndarray + + # Maximum number of elements per axis used when printing an array. The + # 1d case is handled separately because we need more values in this case. + _print_width = 100 + _print_width_1d = 1500 + + def __new__(cls, data=None, mask=nomask, dtype=None, copy=False, + subok=True, ndmin=0, fill_value=None, keep_mask=True, + hard_mask=None, shrink=True, order=None): + """ + Create a new masked array from scratch. + + Notes + ----- + A masked array can also be created by taking a .view(MaskedArray). + + """ + # Process data. + _data = np.array(data, dtype=dtype, copy=copy, + order=order, subok=True, ndmin=ndmin) + _baseclass = getattr(data, '_baseclass', type(_data)) + # Check that we're not erasing the mask. + if isinstance(data, MaskedArray) and (data.shape != _data.shape): + copy = True + + # Here, we copy the _view_, so that we can attach new properties to it + # we must never do .view(MaskedConstant), as that would create a new + # instance of np.ma.masked, which make identity comparison fail + if isinstance(data, cls) and subok and not isinstance(data, MaskedConstant): + _data = ndarray.view(_data, type(data)) + else: + _data = ndarray.view(_data, cls) + + # Handle the case where data is not a subclass of ndarray, but + # still has the _mask attribute like MaskedArrays + if hasattr(data, '_mask') and not isinstance(data, ndarray): + _data._mask = data._mask + # FIXME: should we set `_data._sharedmask = True`? + # Process mask. + # Type of the mask + mdtype = make_mask_descr(_data.dtype) + if mask is nomask: + # Case 1. : no mask in input. + # Erase the current mask ? + if not keep_mask: + # With a reduced version + if shrink: + _data._mask = nomask + # With full version + else: + _data._mask = np.zeros(_data.shape, dtype=mdtype) + # Check whether we missed something + elif isinstance(data, (tuple, list)): + try: + # If data is a sequence of masked array + mask = np.array( + [getmaskarray(np.asanyarray(m, dtype=_data.dtype)) + for m in data], dtype=mdtype) + except (ValueError, TypeError): + # If data is nested + mask = nomask + # Force shrinking of the mask if needed (and possible) + if (mdtype == MaskType) and mask.any(): + _data._mask = mask + _data._sharedmask = False + else: + _data._sharedmask = not copy + if copy: + _data._mask = _data._mask.copy() + # Reset the shape of the original mask + if getmask(data) is not nomask: + # gh-21022 encounters an issue here + # because data._mask.shape is not writeable, but + # the op was also pointless in that case, because + # the shapes were the same, so we can at least + # avoid that path + if data._mask.shape != data.shape: + data._mask.shape = data.shape + else: + # Case 2. : With a mask in input. + # If mask is boolean, create an array of True or False + + # if users pass `mask=None` be forgiving here and cast it False + # for speed; although the default is `mask=nomask` and can differ. + if mask is None: + mask = False + + if mask is True and mdtype == MaskType: + mask = np.ones(_data.shape, dtype=mdtype) + elif mask is False and mdtype == MaskType: + mask = np.zeros(_data.shape, dtype=mdtype) + else: + # Read the mask with the current mdtype + try: + mask = np.array(mask, copy=copy, dtype=mdtype) + # Or assume it's a sequence of bool/int + except TypeError: + mask = np.array([tuple([m] * len(mdtype)) for m in mask], + dtype=mdtype) + # Make sure the mask and the data have the same shape + if mask.shape != _data.shape: + (nd, nm) = (_data.size, mask.size) + if nm == 1: + mask = np.resize(mask, _data.shape) + elif nm == nd: + mask = np.reshape(mask, _data.shape) + else: + msg = "Mask and data not compatible: data size is %i, " + \ + "mask size is %i." + raise MaskError(msg % (nd, nm)) + copy = True + # Set the mask to the new value + if _data._mask is nomask: + _data._mask = mask + _data._sharedmask = not copy + else: + if not keep_mask: + _data._mask = mask + _data._sharedmask = not copy + else: + if _data.dtype.names is not None: + def _recursive_or(a, b): + "do a|=b on each field of a, recursively" + for name in a.dtype.names: + (af, bf) = (a[name], b[name]) + if af.dtype.names is not None: + _recursive_or(af, bf) + else: + af |= bf + + _recursive_or(_data._mask, mask) + else: + _data._mask = np.logical_or(mask, _data._mask) + _data._sharedmask = False + + # Update fill_value. + if fill_value is None: + fill_value = getattr(data, '_fill_value', None) + # But don't run the check unless we have something to check. + if fill_value is not None: + _data._fill_value = _check_fill_value(fill_value, _data.dtype) + # Process extra options .. + if hard_mask is None: + _data._hardmask = getattr(data, '_hardmask', False) + else: + _data._hardmask = hard_mask + _data._baseclass = _baseclass + return _data + + + def _update_from(self, obj): + """ + Copies some attributes of obj to self. + + """ + if isinstance(obj, ndarray): + _baseclass = type(obj) + else: + _baseclass = ndarray + # We need to copy the _basedict to avoid backward propagation + _optinfo = {} + _optinfo.update(getattr(obj, '_optinfo', {})) + _optinfo.update(getattr(obj, '_basedict', {})) + if not isinstance(obj, MaskedArray): + _optinfo.update(getattr(obj, '__dict__', {})) + _dict = dict(_fill_value=getattr(obj, '_fill_value', None), + _hardmask=getattr(obj, '_hardmask', False), + _sharedmask=getattr(obj, '_sharedmask', False), + _isfield=getattr(obj, '_isfield', False), + _baseclass=getattr(obj, '_baseclass', _baseclass), + _optinfo=_optinfo, + _basedict=_optinfo) + self.__dict__.update(_dict) + self.__dict__.update(_optinfo) + return + + def __array_finalize__(self, obj): + """ + Finalizes the masked array. + + """ + # Get main attributes. + self._update_from(obj) + + # We have to decide how to initialize self.mask, based on + # obj.mask. This is very difficult. There might be some + # correspondence between the elements in the array we are being + # created from (= obj) and us. Or there might not. This method can + # be called in all kinds of places for all kinds of reasons -- could + # be empty_like, could be slicing, could be a ufunc, could be a view. + # The numpy subclassing interface simply doesn't give us any way + # to know, which means that at best this method will be based on + # guesswork and heuristics. To make things worse, there isn't even any + # clear consensus about what the desired behavior is. For instance, + # most users think that np.empty_like(marr) -- which goes via this + # method -- should return a masked array with an empty mask (see + # gh-3404 and linked discussions), but others disagree, and they have + # existing code which depends on empty_like returning an array that + # matches the input mask. + # + # Historically our algorithm was: if the template object mask had the + # same *number of elements* as us, then we used *it's mask object + # itself* as our mask, so that writes to us would also write to the + # original array. This is horribly broken in multiple ways. + # + # Now what we do instead is, if the template object mask has the same + # number of elements as us, and we do not have the same base pointer + # as the template object (b/c views like arr[...] should keep the same + # mask), then we make a copy of the template object mask and use + # that. This is also horribly broken but somewhat less so. Maybe. + if isinstance(obj, ndarray): + # XX: This looks like a bug -- shouldn't it check self.dtype + # instead? + if obj.dtype.names is not None: + _mask = getmaskarray(obj) + else: + _mask = getmask(obj) + + # If self and obj point to exactly the same data, then probably + # self is a simple view of obj (e.g., self = obj[...]), so they + # should share the same mask. (This isn't 100% reliable, e.g. self + # could be the first row of obj, or have strange strides, but as a + # heuristic it's not bad.) In all other cases, we make a copy of + # the mask, so that future modifications to 'self' do not end up + # side-effecting 'obj' as well. + if (_mask is not nomask and obj.__array_interface__["data"][0] + != self.__array_interface__["data"][0]): + # We should make a copy. But we could get here via astype, + # in which case the mask might need a new dtype as well + # (e.g., changing to or from a structured dtype), and the + # order could have changed. So, change the mask type if + # needed and use astype instead of copy. + if self.dtype == obj.dtype: + _mask_dtype = _mask.dtype + else: + _mask_dtype = make_mask_descr(self.dtype) + + if self.flags.c_contiguous: + order = "C" + elif self.flags.f_contiguous: + order = "F" + else: + order = "K" + + _mask = _mask.astype(_mask_dtype, order) + else: + # Take a view so shape changes, etc., do not propagate back. + _mask = _mask.view() + else: + _mask = nomask + + self._mask = _mask + # Finalize the mask + if self._mask is not nomask: + try: + self._mask.shape = self.shape + except ValueError: + self._mask = nomask + except (TypeError, AttributeError): + # When _mask.shape is not writable (because it's a void) + pass + + # Finalize the fill_value + if self._fill_value is not None: + self._fill_value = _check_fill_value(self._fill_value, self.dtype) + elif self.dtype.names is not None: + # Finalize the default fill_value for structured arrays + self._fill_value = _check_fill_value(None, self.dtype) + + def __array_wrap__(self, obj, context=None): + """ + Special hook for ufuncs. + + Wraps the numpy array and sets the mask according to context. + + """ + if obj is self: # for in-place operations + result = obj + else: + result = obj.view(type(self)) + result._update_from(self) + + if context is not None: + result._mask = result._mask.copy() + func, args, out_i = context + # args sometimes contains outputs (gh-10459), which we don't want + input_args = args[:func.nin] + m = reduce(mask_or, [getmaskarray(arg) for arg in input_args]) + # Get the domain mask + domain = ufunc_domain.get(func, None) + if domain is not None: + # Take the domain, and make sure it's a ndarray + with np.errstate(divide='ignore', invalid='ignore'): + d = filled(domain(*input_args), True) + + if d.any(): + # Fill the result where the domain is wrong + try: + # Binary domain: take the last value + fill_value = ufunc_fills[func][-1] + except TypeError: + # Unary domain: just use this one + fill_value = ufunc_fills[func] + except KeyError: + # Domain not recognized, use fill_value instead + fill_value = self.fill_value + + np.copyto(result, fill_value, where=d) + + # Update the mask + if m is nomask: + m = d + else: + # Don't modify inplace, we risk back-propagation + m = (m | d) + + # Make sure the mask has the proper size + if result is not self and result.shape == () and m: + return masked + else: + result._mask = m + result._sharedmask = False + + return result + + def view(self, dtype=None, type=None, fill_value=None): + """ + Return a view of the MaskedArray data. + + Parameters + ---------- + dtype : data-type or ndarray sub-class, optional + Data-type descriptor of the returned view, e.g., float32 or int16. + The default, None, results in the view having the same data-type + as `a`. As with ``ndarray.view``, dtype can also be specified as + an ndarray sub-class, which then specifies the type of the + returned object (this is equivalent to setting the ``type`` + parameter). + type : Python type, optional + Type of the returned view, either ndarray or a subclass. The + default None results in type preservation. + fill_value : scalar, optional + The value to use for invalid entries (None by default). + If None, then this argument is inferred from the passed `dtype`, or + in its absence the original array, as discussed in the notes below. + + See Also + -------- + numpy.ndarray.view : Equivalent method on ndarray object. + + Notes + ----- + + ``a.view()`` is used two different ways: + + ``a.view(some_dtype)`` or ``a.view(dtype=some_dtype)`` constructs a view + of the array's memory with a different data-type. This can cause a + reinterpretation of the bytes of memory. + + ``a.view(ndarray_subclass)`` or ``a.view(type=ndarray_subclass)`` just + returns an instance of `ndarray_subclass` that looks at the same array + (same shape, dtype, etc.) This does not cause a reinterpretation of the + memory. + + If `fill_value` is not specified, but `dtype` is specified (and is not + an ndarray sub-class), the `fill_value` of the MaskedArray will be + reset. If neither `fill_value` nor `dtype` are specified (or if + `dtype` is an ndarray sub-class), then the fill value is preserved. + Finally, if `fill_value` is specified, but `dtype` is not, the fill + value is set to the specified value. + + For ``a.view(some_dtype)``, if ``some_dtype`` has a different number of + bytes per entry than the previous dtype (for example, converting a + regular array to a structured array), then the behavior of the view + cannot be predicted just from the superficial appearance of ``a`` (shown + by ``print(a)``). It also depends on exactly how ``a`` is stored in + memory. Therefore if ``a`` is C-ordered versus fortran-ordered, versus + defined as a slice or transpose, etc., the view may give different + results. + """ + + if dtype is None: + if type is None: + output = ndarray.view(self) + else: + output = ndarray.view(self, type) + elif type is None: + try: + if issubclass(dtype, ndarray): + output = ndarray.view(self, dtype) + dtype = None + else: + output = ndarray.view(self, dtype) + except TypeError: + output = ndarray.view(self, dtype) + else: + output = ndarray.view(self, dtype, type) + + # also make the mask be a view (so attr changes to the view's + # mask do no affect original object's mask) + # (especially important to avoid affecting np.masked singleton) + if getmask(output) is not nomask: + output._mask = output._mask.view() + + # Make sure to reset the _fill_value if needed + if getattr(output, '_fill_value', None) is not None: + if fill_value is None: + if dtype is None: + pass # leave _fill_value as is + else: + output._fill_value = None + else: + output.fill_value = fill_value + return output + + def __getitem__(self, indx): + """ + x.__getitem__(y) <==> x[y] + + Return the item described by i, as a masked array. + + """ + # We could directly use ndarray.__getitem__ on self. + # But then we would have to modify __array_finalize__ to prevent the + # mask of being reshaped if it hasn't been set up properly yet + # So it's easier to stick to the current version + dout = self.data[indx] + _mask = self._mask + + def _is_scalar(m): + return not isinstance(m, np.ndarray) + + def _scalar_heuristic(arr, elem): + """ + Return whether `elem` is a scalar result of indexing `arr`, or None + if undecidable without promoting nomask to a full mask + """ + # obviously a scalar + if not isinstance(elem, np.ndarray): + return True + + # object array scalar indexing can return anything + elif arr.dtype.type is np.object_: + if arr.dtype is not elem.dtype: + # elem is an array, but dtypes do not match, so must be + # an element + return True + + # well-behaved subclass that only returns 0d arrays when + # expected - this is not a scalar + elif type(arr).__getitem__ == ndarray.__getitem__: + return False + + return None + + if _mask is not nomask: + # _mask cannot be a subclass, so it tells us whether we should + # expect a scalar. It also cannot be of dtype object. + mout = _mask[indx] + scalar_expected = _is_scalar(mout) + + else: + # attempt to apply the heuristic to avoid constructing a full mask + mout = nomask + scalar_expected = _scalar_heuristic(self.data, dout) + if scalar_expected is None: + # heuristics have failed + # construct a full array, so we can be certain. This is costly. + # we could also fall back on ndarray.__getitem__(self.data, indx) + scalar_expected = _is_scalar(getmaskarray(self)[indx]) + + # Did we extract a single item? + if scalar_expected: + # A record + if isinstance(dout, np.void): + # We should always re-cast to mvoid, otherwise users can + # change masks on rows that already have masked values, but not + # on rows that have no masked values, which is inconsistent. + return mvoid(dout, mask=mout, hardmask=self._hardmask) + + # special case introduced in gh-5962 + elif (self.dtype.type is np.object_ and + isinstance(dout, np.ndarray) and + dout is not masked): + # If masked, turn into a MaskedArray, with everything masked. + if mout: + return MaskedArray(dout, mask=True) + else: + return dout + + # Just a scalar + else: + if mout: + return masked + else: + return dout + else: + # Force dout to MA + dout = dout.view(type(self)) + # Inherit attributes from self + dout._update_from(self) + # Check the fill_value + if is_string_or_list_of_strings(indx): + if self._fill_value is not None: + dout._fill_value = self._fill_value[indx] + + # Something like gh-15895 has happened if this check fails. + # _fill_value should always be an ndarray. + if not isinstance(dout._fill_value, np.ndarray): + raise RuntimeError('Internal NumPy error.') + # If we're indexing a multidimensional field in a + # structured array (such as dtype("(2,)i2,(2,)i1")), + # dimensionality goes up (M[field].ndim == M.ndim + + # M.dtype[field].ndim). That's fine for + # M[field] but problematic for M[field].fill_value + # which should have shape () to avoid breaking several + # methods. There is no great way out, so set to + # first element. See issue #6723. + if dout._fill_value.ndim > 0: + if not (dout._fill_value == + dout._fill_value.flat[0]).all(): + warnings.warn( + "Upon accessing multidimensional field " + f"{indx!s}, need to keep dimensionality " + "of fill_value at 0. Discarding " + "heterogeneous fill_value and setting " + f"all to {dout._fill_value[0]!s}.", + stacklevel=2) + # Need to use `.flat[0:1].squeeze(...)` instead of just + # `.flat[0]` to ensure the result is a 0d array and not + # a scalar. + dout._fill_value = dout._fill_value.flat[0:1].squeeze(axis=0) + dout._isfield = True + # Update the mask if needed + if mout is not nomask: + # set shape to match that of data; this is needed for matrices + dout._mask = reshape(mout, dout.shape) + dout._sharedmask = True + # Note: Don't try to check for m.any(), that'll take too long + return dout + + # setitem may put NaNs into integer arrays or occasionally overflow a + # float. But this may happen in masked values, so avoid otherwise + # correct warnings (as is typical also in masked calculations). + @np.errstate(over='ignore', invalid='ignore') + def __setitem__(self, indx, value): + """ + x.__setitem__(i, y) <==> x[i]=y + + Set item described by index. If value is masked, masks those + locations. + + """ + if self is masked: + raise MaskError('Cannot alter the masked element.') + _data = self._data + _mask = self._mask + if isinstance(indx, str): + _data[indx] = value + if _mask is nomask: + self._mask = _mask = make_mask_none(self.shape, self.dtype) + _mask[indx] = getmask(value) + return + + _dtype = _data.dtype + + if value is masked: + # The mask wasn't set: create a full version. + if _mask is nomask: + _mask = self._mask = make_mask_none(self.shape, _dtype) + # Now, set the mask to its value. + if _dtype.names is not None: + _mask[indx] = tuple([True] * len(_dtype.names)) + else: + _mask[indx] = True + return + + # Get the _data part of the new value + dval = getattr(value, '_data', value) + # Get the _mask part of the new value + mval = getmask(value) + if _dtype.names is not None and mval is nomask: + mval = tuple([False] * len(_dtype.names)) + if _mask is nomask: + # Set the data, then the mask + _data[indx] = dval + if mval is not nomask: + _mask = self._mask = make_mask_none(self.shape, _dtype) + _mask[indx] = mval + elif not self._hardmask: + # Set the data, then the mask + if (isinstance(indx, masked_array) and + not isinstance(value, masked_array)): + _data[indx.data] = dval + else: + _data[indx] = dval + _mask[indx] = mval + elif hasattr(indx, 'dtype') and (indx.dtype == MaskType): + indx = indx * umath.logical_not(_mask) + _data[indx] = dval + else: + if _dtype.names is not None: + err_msg = "Flexible 'hard' masks are not yet supported." + raise NotImplementedError(err_msg) + mindx = mask_or(_mask[indx], mval, copy=True) + dindx = self._data[indx] + if dindx.size > 1: + np.copyto(dindx, dval, where=~mindx) + elif mindx is nomask: + dindx = dval + _data[indx] = dindx + _mask[indx] = mindx + return + + # Define so that we can overwrite the setter. + @property + def dtype(self): + return super().dtype + + @dtype.setter + def dtype(self, dtype): + super(MaskedArray, type(self)).dtype.__set__(self, dtype) + if self._mask is not nomask: + self._mask = self._mask.view(make_mask_descr(dtype), ndarray) + # Try to reset the shape of the mask (if we don't have a void). + # This raises a ValueError if the dtype change won't work. + try: + self._mask.shape = self.shape + except (AttributeError, TypeError): + pass + + @property + def shape(self): + return super().shape + + @shape.setter + def shape(self, shape): + super(MaskedArray, type(self)).shape.__set__(self, shape) + # Cannot use self._mask, since it may not (yet) exist when a + # masked matrix sets the shape. + if getmask(self) is not nomask: + self._mask.shape = self.shape + + def __setmask__(self, mask, copy=False): + """ + Set the mask. + + """ + idtype = self.dtype + current_mask = self._mask + if mask is masked: + mask = True + + if current_mask is nomask: + # Make sure the mask is set + # Just don't do anything if there's nothing to do. + if mask is nomask: + return + current_mask = self._mask = make_mask_none(self.shape, idtype) + + if idtype.names is None: + # No named fields. + # Hardmask: don't unmask the data + if self._hardmask: + current_mask |= mask + # Softmask: set everything to False + # If it's obviously a compatible scalar, use a quick update + # method. + elif isinstance(mask, (int, float, np.bool_, np.number)): + current_mask[...] = mask + # Otherwise fall back to the slower, general purpose way. + else: + current_mask.flat = mask + else: + # Named fields w/ + mdtype = current_mask.dtype + mask = np.array(mask, copy=False) + # Mask is a singleton + if not mask.ndim: + # It's a boolean : make a record + if mask.dtype.kind == 'b': + mask = np.array(tuple([mask.item()] * len(mdtype)), + dtype=mdtype) + # It's a record: make sure the dtype is correct + else: + mask = mask.astype(mdtype) + # Mask is a sequence + else: + # Make sure the new mask is a ndarray with the proper dtype + try: + mask = np.array(mask, copy=copy, dtype=mdtype) + # Or assume it's a sequence of bool/int + except TypeError: + mask = np.array([tuple([m] * len(mdtype)) for m in mask], + dtype=mdtype) + # Hardmask: don't unmask the data + if self._hardmask: + for n in idtype.names: + current_mask[n] |= mask[n] + # Softmask: set everything to False + # If it's obviously a compatible scalar, use a quick update + # method. + elif isinstance(mask, (int, float, np.bool_, np.number)): + current_mask[...] = mask + # Otherwise fall back to the slower, general purpose way. + else: + current_mask.flat = mask + # Reshape if needed + if current_mask.shape: + current_mask.shape = self.shape + return + + _set_mask = __setmask__ + + @property + def mask(self): + """ Current mask. """ + + # We could try to force a reshape, but that wouldn't work in some + # cases. + # Return a view so that the dtype and shape cannot be changed in place + # This still preserves nomask by identity + return self._mask.view() + + @mask.setter + def mask(self, value): + self.__setmask__(value) + + @property + def recordmask(self): + """ + Get or set the mask of the array if it has no named fields. For + structured arrays, returns a ndarray of booleans where entries are + ``True`` if **all** the fields are masked, ``False`` otherwise: + + >>> x = np.ma.array([(1, 1), (2, 2), (3, 3), (4, 4), (5, 5)], + ... mask=[(0, 0), (1, 0), (1, 1), (0, 1), (0, 0)], + ... dtype=[('a', int), ('b', int)]) + >>> x.recordmask + array([False, False, True, False, False]) + """ + + _mask = self._mask.view(ndarray) + if _mask.dtype.names is None: + return _mask + return np.all(flatten_structured_array(_mask), axis=-1) + + @recordmask.setter + def recordmask(self, mask): + raise NotImplementedError("Coming soon: setting the mask per records!") + + def harden_mask(self): + """ + Force the mask to hard, preventing unmasking by assignment. + + Whether the mask of a masked array is hard or soft is determined by + its `~ma.MaskedArray.hardmask` property. `harden_mask` sets + `~ma.MaskedArray.hardmask` to ``True`` (and returns the modified + self). + + See Also + -------- + ma.MaskedArray.hardmask + ma.MaskedArray.soften_mask + + """ + self._hardmask = True + return self + + def soften_mask(self): + """ + Force the mask to soft (default), allowing unmasking by assignment. + + Whether the mask of a masked array is hard or soft is determined by + its `~ma.MaskedArray.hardmask` property. `soften_mask` sets + `~ma.MaskedArray.hardmask` to ``False`` (and returns the modified + self). + + See Also + -------- + ma.MaskedArray.hardmask + ma.MaskedArray.harden_mask + + """ + self._hardmask = False + return self + + @property + def hardmask(self): + """ + Specifies whether values can be unmasked through assignments. + + By default, assigning definite values to masked array entries will + unmask them. When `hardmask` is ``True``, the mask will not change + through assignments. + + See Also + -------- + ma.MaskedArray.harden_mask + ma.MaskedArray.soften_mask + + Examples + -------- + >>> x = np.arange(10) + >>> m = np.ma.masked_array(x, x>5) + >>> assert not m.hardmask + + Since `m` has a soft mask, assigning an element value unmasks that + element: + + >>> m[8] = 42 + >>> m + masked_array(data=[0, 1, 2, 3, 4, 5, --, --, 42, --], + mask=[False, False, False, False, False, False, + True, True, False, True], + fill_value=999999) + + After hardening, the mask is not affected by assignments: + + >>> hardened = np.ma.harden_mask(m) + >>> assert m.hardmask and hardened is m + >>> m[:] = 23 + >>> m + masked_array(data=[23, 23, 23, 23, 23, 23, --, --, 23, --], + mask=[False, False, False, False, False, False, + True, True, False, True], + fill_value=999999) + + """ + return self._hardmask + + def unshare_mask(self): + """ + Copy the mask and set the `sharedmask` flag to ``False``. + + Whether the mask is shared between masked arrays can be seen from + the `sharedmask` property. `unshare_mask` ensures the mask is not + shared. A copy of the mask is only made if it was shared. + + See Also + -------- + sharedmask + + """ + if self._sharedmask: + self._mask = self._mask.copy() + self._sharedmask = False + return self + + @property + def sharedmask(self): + """ Share status of the mask (read-only). """ + return self._sharedmask + + def shrink_mask(self): + """ + Reduce a mask to nomask when possible. + + Parameters + ---------- + None + + Returns + ------- + None + + Examples + -------- + >>> x = np.ma.array([[1,2 ], [3, 4]], mask=[0]*4) + >>> x.mask + array([[False, False], + [False, False]]) + >>> x.shrink_mask() + masked_array( + data=[[1, 2], + [3, 4]], + mask=False, + fill_value=999999) + >>> x.mask + False + + """ + self._mask = _shrink_mask(self._mask) + return self + + @property + def baseclass(self): + """ Class of the underlying data (read-only). """ + return self._baseclass + + def _get_data(self): + """ + Returns the underlying data, as a view of the masked array. + + If the underlying data is a subclass of :class:`numpy.ndarray`, it is + returned as such. + + >>> x = np.ma.array(np.matrix([[1, 2], [3, 4]]), mask=[[0, 1], [1, 0]]) + >>> x.data + matrix([[1, 2], + [3, 4]]) + + The type of the data can be accessed through the :attr:`baseclass` + attribute. + """ + return ndarray.view(self, self._baseclass) + + _data = property(fget=_get_data) + data = property(fget=_get_data) + + @property + def flat(self): + """ Return a flat iterator, or set a flattened version of self to value. """ + return MaskedIterator(self) + + @flat.setter + def flat(self, value): + y = self.ravel() + y[:] = value + + @property + def fill_value(self): + """ + The filling value of the masked array is a scalar. When setting, None + will set to a default based on the data type. + + Examples + -------- + >>> for dt in [np.int32, np.int64, np.float64, np.complex128]: + ... np.ma.array([0, 1], dtype=dt).get_fill_value() + ... + 999999 + 999999 + 1e+20 + (1e+20+0j) + + >>> x = np.ma.array([0, 1.], fill_value=-np.inf) + >>> x.fill_value + -inf + >>> x.fill_value = np.pi + >>> x.fill_value + 3.1415926535897931 # may vary + + Reset to default: + + >>> x.fill_value = None + >>> x.fill_value + 1e+20 + + """ + if self._fill_value is None: + self._fill_value = _check_fill_value(None, self.dtype) + + # Temporary workaround to account for the fact that str and bytes + # scalars cannot be indexed with (), whereas all other numpy + # scalars can. See issues #7259 and #7267. + # The if-block can be removed after #7267 has been fixed. + if isinstance(self._fill_value, ndarray): + return self._fill_value[()] + return self._fill_value + + @fill_value.setter + def fill_value(self, value=None): + target = _check_fill_value(value, self.dtype) + if not target.ndim == 0: + # 2019-11-12, 1.18.0 + warnings.warn( + "Non-scalar arrays for the fill value are deprecated. Use " + "arrays with scalar values instead. The filled function " + "still supports any array as `fill_value`.", + DeprecationWarning, stacklevel=2) + + _fill_value = self._fill_value + if _fill_value is None: + # Create the attribute if it was undefined + self._fill_value = target + else: + # Don't overwrite the attribute, just fill it (for propagation) + _fill_value[()] = target + + # kept for compatibility + get_fill_value = fill_value.fget + set_fill_value = fill_value.fset + + def filled(self, fill_value=None): + """ + Return a copy of self, with masked values filled with a given value. + **However**, if there are no masked values to fill, self will be + returned instead as an ndarray. + + Parameters + ---------- + fill_value : array_like, optional + The value to use for invalid entries. Can be scalar or non-scalar. + If non-scalar, the resulting ndarray must be broadcastable over + input array. Default is None, in which case, the `fill_value` + attribute of the array is used instead. + + Returns + ------- + filled_array : ndarray + A copy of ``self`` with invalid entries replaced by *fill_value* + (be it the function argument or the attribute of ``self``), or + ``self`` itself as an ndarray if there are no invalid entries to + be replaced. + + Notes + ----- + The result is **not** a MaskedArray! + + Examples + -------- + >>> x = np.ma.array([1,2,3,4,5], mask=[0,0,1,0,1], fill_value=-999) + >>> x.filled() + array([ 1, 2, -999, 4, -999]) + >>> x.filled(fill_value=1000) + array([ 1, 2, 1000, 4, 1000]) + >>> type(x.filled()) + + + Subclassing is preserved. This means that if, e.g., the data part of + the masked array is a recarray, `filled` returns a recarray: + + >>> x = np.array([(-1, 2), (-3, 4)], dtype='i8,i8').view(np.recarray) + >>> m = np.ma.array(x, mask=[(True, False), (False, True)]) + >>> m.filled() + rec.array([(999999, 2), ( -3, 999999)], + dtype=[('f0', '>> x = np.ma.array(np.arange(5), mask=[0]*2 + [1]*3) + >>> x.compressed() + array([0, 1]) + >>> type(x.compressed()) + + + """ + data = ndarray.ravel(self._data) + if self._mask is not nomask: + data = data.compress(np.logical_not(ndarray.ravel(self._mask))) + return data + + def compress(self, condition, axis=None, out=None): + """ + Return `a` where condition is ``True``. + + If condition is a `~ma.MaskedArray`, missing values are considered + as ``False``. + + Parameters + ---------- + condition : var + Boolean 1-d array selecting which entries to return. If len(condition) + is less than the size of a along the axis, then output is truncated + to length of condition array. + axis : {None, int}, optional + Axis along which the operation must be performed. + out : {None, ndarray}, optional + Alternative output array in which to place the result. It must have + the same shape as the expected output but the type will be cast if + necessary. + + Returns + ------- + result : MaskedArray + A :class:`~ma.MaskedArray` object. + + Notes + ----- + Please note the difference with :meth:`compressed` ! + The output of :meth:`compress` has a mask, the output of + :meth:`compressed` does not. + + Examples + -------- + >>> x = np.ma.array([[1,2,3],[4,5,6],[7,8,9]], mask=[0] + [1,0]*4) + >>> x + masked_array( + data=[[1, --, 3], + [--, 5, --], + [7, --, 9]], + mask=[[False, True, False], + [ True, False, True], + [False, True, False]], + fill_value=999999) + >>> x.compress([1, 0, 1]) + masked_array(data=[1, 3], + mask=[False, False], + fill_value=999999) + + >>> x.compress([1, 0, 1], axis=1) + masked_array( + data=[[1, 3], + [--, --], + [7, 9]], + mask=[[False, False], + [ True, True], + [False, False]], + fill_value=999999) + + """ + # Get the basic components + (_data, _mask) = (self._data, self._mask) + + # Force the condition to a regular ndarray and forget the missing + # values. + condition = np.asarray(condition) + + _new = _data.compress(condition, axis=axis, out=out).view(type(self)) + _new._update_from(self) + if _mask is not nomask: + _new._mask = _mask.compress(condition, axis=axis) + return _new + + def _insert_masked_print(self): + """ + Replace masked values with masked_print_option, casting all innermost + dtypes to object. + """ + if masked_print_option.enabled(): + mask = self._mask + if mask is nomask: + res = self._data + else: + # convert to object array to make filled work + data = self._data + # For big arrays, to avoid a costly conversion to the + # object dtype, extract the corners before the conversion. + print_width = (self._print_width if self.ndim > 1 + else self._print_width_1d) + for axis in range(self.ndim): + if data.shape[axis] > print_width: + ind = print_width // 2 + arr = np.split(data, (ind, -ind), axis=axis) + data = np.concatenate((arr[0], arr[2]), axis=axis) + arr = np.split(mask, (ind, -ind), axis=axis) + mask = np.concatenate((arr[0], arr[2]), axis=axis) + + rdtype = _replace_dtype_fields(self.dtype, "O") + res = data.astype(rdtype) + _recursive_printoption(res, mask, masked_print_option) + else: + res = self.filled(self.fill_value) + return res + + def __str__(self): + return str(self._insert_masked_print()) + + def __repr__(self): + """ + Literal string representation. + + """ + if self._baseclass is np.ndarray: + name = 'array' + else: + name = self._baseclass.__name__ + + + # 2016-11-19: Demoted to legacy format + if np.core.arrayprint._get_legacy_print_mode() <= 113: + is_long = self.ndim > 1 + parameters = dict( + name=name, + nlen=" " * len(name), + data=str(self), + mask=str(self._mask), + fill=str(self.fill_value), + dtype=str(self.dtype) + ) + is_structured = bool(self.dtype.names) + key = '{}_{}'.format( + 'long' if is_long else 'short', + 'flx' if is_structured else 'std' + ) + return _legacy_print_templates[key] % parameters + + prefix = f"masked_{name}(" + + dtype_needed = ( + not np.core.arrayprint.dtype_is_implied(self.dtype) or + np.all(self.mask) or + self.size == 0 + ) + + # determine which keyword args need to be shown + keys = ['data', 'mask', 'fill_value'] + if dtype_needed: + keys.append('dtype') + + # array has only one row (non-column) + is_one_row = builtins.all(dim == 1 for dim in self.shape[:-1]) + + # choose what to indent each keyword with + min_indent = 2 + if is_one_row: + # first key on the same line as the type, remaining keys + # aligned by equals + indents = {} + indents[keys[0]] = prefix + for k in keys[1:]: + n = builtins.max(min_indent, len(prefix + keys[0]) - len(k)) + indents[k] = ' ' * n + prefix = '' # absorbed into the first indent + else: + # each key on its own line, indented by two spaces + indents = {k: ' ' * min_indent for k in keys} + prefix = prefix + '\n' # first key on the next line + + # format the field values + reprs = {} + reprs['data'] = np.array2string( + self._insert_masked_print(), + separator=", ", + prefix=indents['data'] + 'data=', + suffix=',') + reprs['mask'] = np.array2string( + self._mask, + separator=", ", + prefix=indents['mask'] + 'mask=', + suffix=',') + reprs['fill_value'] = repr(self.fill_value) + if dtype_needed: + reprs['dtype'] = np.core.arrayprint.dtype_short_repr(self.dtype) + + # join keys with values and indentations + result = ',\n'.join( + '{}{}={}'.format(indents[k], k, reprs[k]) + for k in keys + ) + return prefix + result + ')' + + def _delegate_binop(self, other): + # This emulates the logic in + # private/binop_override.h:forward_binop_should_defer + if isinstance(other, type(self)): + return False + array_ufunc = getattr(other, "__array_ufunc__", False) + if array_ufunc is False: + other_priority = getattr(other, "__array_priority__", -1000000) + return self.__array_priority__ < other_priority + else: + # If array_ufunc is not None, it will be called inside the ufunc; + # None explicitly tells us to not call the ufunc, i.e., defer. + return array_ufunc is None + + def _comparison(self, other, compare): + """Compare self with other using operator.eq or operator.ne. + + When either of the elements is masked, the result is masked as well, + but the underlying boolean data are still set, with self and other + considered equal if both are masked, and unequal otherwise. + + For structured arrays, all fields are combined, with masked values + ignored. The result is masked if all fields were masked, with self + and other considered equal only if both were fully masked. + """ + omask = getmask(other) + smask = self.mask + mask = mask_or(smask, omask, copy=True) + + odata = getdata(other) + if mask.dtype.names is not None: + # only == and != are reasonably defined for structured dtypes, + # so give up early for all other comparisons: + if compare not in (operator.eq, operator.ne): + return NotImplemented + # For possibly masked structured arrays we need to be careful, + # since the standard structured array comparison will use all + # fields, masked or not. To avoid masked fields influencing the + # outcome, we set all masked fields in self to other, so they'll + # count as equal. To prepare, we ensure we have the right shape. + broadcast_shape = np.broadcast(self, odata).shape + sbroadcast = np.broadcast_to(self, broadcast_shape, subok=True) + sbroadcast._mask = mask + sdata = sbroadcast.filled(odata) + # Now take care of the mask; the merged mask should have an item + # masked if all fields were masked (in one and/or other). + mask = (mask == np.ones((), mask.dtype)) + # Ensure we can compare masks below if other was not masked. + if omask is np.False_: + omask = np.zeros((), smask.dtype) + + else: + # For regular arrays, just use the data as they come. + sdata = self.data + + check = compare(sdata, odata) + + if isinstance(check, (np.bool_, bool)): + return masked if mask else check + + if mask is not nomask: + if compare in (operator.eq, operator.ne): + # Adjust elements that were masked, which should be treated + # as equal if masked in both, unequal if masked in one. + # Note that this works automatically for structured arrays too. + # Ignore this for operations other than `==` and `!=` + check = np.where(mask, compare(smask, omask), check) + + if mask.shape != check.shape: + # Guarantee consistency of the shape, making a copy since the + # the mask may need to get written to later. + mask = np.broadcast_to(mask, check.shape).copy() + + check = check.view(type(self)) + check._update_from(self) + check._mask = mask + + # Cast fill value to bool_ if needed. If it cannot be cast, the + # default boolean fill value is used. + if check._fill_value is not None: + try: + fill = _check_fill_value(check._fill_value, np.bool_) + except (TypeError, ValueError): + fill = _check_fill_value(None, np.bool_) + check._fill_value = fill + + return check + + def __eq__(self, other): + """Check whether other equals self elementwise. + + When either of the elements is masked, the result is masked as well, + but the underlying boolean data are still set, with self and other + considered equal if both are masked, and unequal otherwise. + + For structured arrays, all fields are combined, with masked values + ignored. The result is masked if all fields were masked, with self + and other considered equal only if both were fully masked. + """ + return self._comparison(other, operator.eq) + + def __ne__(self, other): + """Check whether other does not equal self elementwise. + + When either of the elements is masked, the result is masked as well, + but the underlying boolean data are still set, with self and other + considered equal if both are masked, and unequal otherwise. + + For structured arrays, all fields are combined, with masked values + ignored. The result is masked if all fields were masked, with self + and other considered equal only if both were fully masked. + """ + return self._comparison(other, operator.ne) + + # All other comparisons: + def __le__(self, other): + return self._comparison(other, operator.le) + + def __lt__(self, other): + return self._comparison(other, operator.lt) + + def __ge__(self, other): + return self._comparison(other, operator.ge) + + def __gt__(self, other): + return self._comparison(other, operator.gt) + + def __add__(self, other): + """ + Add self to other, and return a new masked array. + + """ + if self._delegate_binop(other): + return NotImplemented + return add(self, other) + + def __radd__(self, other): + """ + Add other to self, and return a new masked array. + + """ + # In analogy with __rsub__ and __rdiv__, use original order: + # we get here from `other + self`. + return add(other, self) + + def __sub__(self, other): + """ + Subtract other from self, and return a new masked array. + + """ + if self._delegate_binop(other): + return NotImplemented + return subtract(self, other) + + def __rsub__(self, other): + """ + Subtract self from other, and return a new masked array. + + """ + return subtract(other, self) + + def __mul__(self, other): + "Multiply self by other, and return a new masked array." + if self._delegate_binop(other): + return NotImplemented + return multiply(self, other) + + def __rmul__(self, other): + """ + Multiply other by self, and return a new masked array. + + """ + # In analogy with __rsub__ and __rdiv__, use original order: + # we get here from `other * self`. + return multiply(other, self) + + def __div__(self, other): + """ + Divide other into self, and return a new masked array. + + """ + if self._delegate_binop(other): + return NotImplemented + return divide(self, other) + + def __truediv__(self, other): + """ + Divide other into self, and return a new masked array. + + """ + if self._delegate_binop(other): + return NotImplemented + return true_divide(self, other) + + def __rtruediv__(self, other): + """ + Divide self into other, and return a new masked array. + + """ + return true_divide(other, self) + + def __floordiv__(self, other): + """ + Divide other into self, and return a new masked array. + + """ + if self._delegate_binop(other): + return NotImplemented + return floor_divide(self, other) + + def __rfloordiv__(self, other): + """ + Divide self into other, and return a new masked array. + + """ + return floor_divide(other, self) + + def __pow__(self, other): + """ + Raise self to the power other, masking the potential NaNs/Infs + + """ + if self._delegate_binop(other): + return NotImplemented + return power(self, other) + + def __rpow__(self, other): + """ + Raise other to the power self, masking the potential NaNs/Infs + + """ + return power(other, self) + + def __iadd__(self, other): + """ + Add other to self in-place. + + """ + m = getmask(other) + if self._mask is nomask: + if m is not nomask and m.any(): + self._mask = make_mask_none(self.shape, self.dtype) + self._mask += m + else: + if m is not nomask: + self._mask += m + other_data = getdata(other) + other_data = np.where(self._mask, other_data.dtype.type(0), other_data) + self._data.__iadd__(other_data) + return self + + def __isub__(self, other): + """ + Subtract other from self in-place. + + """ + m = getmask(other) + if self._mask is nomask: + if m is not nomask and m.any(): + self._mask = make_mask_none(self.shape, self.dtype) + self._mask += m + elif m is not nomask: + self._mask += m + other_data = getdata(other) + other_data = np.where(self._mask, other_data.dtype.type(0), other_data) + self._data.__isub__(other_data) + return self + + def __imul__(self, other): + """ + Multiply self by other in-place. + + """ + m = getmask(other) + if self._mask is nomask: + if m is not nomask and m.any(): + self._mask = make_mask_none(self.shape, self.dtype) + self._mask += m + elif m is not nomask: + self._mask += m + other_data = getdata(other) + other_data = np.where(self._mask, other_data.dtype.type(1), other_data) + self._data.__imul__(other_data) + return self + + def __idiv__(self, other): + """ + Divide self by other in-place. + + """ + other_data = getdata(other) + dom_mask = _DomainSafeDivide().__call__(self._data, other_data) + other_mask = getmask(other) + new_mask = mask_or(other_mask, dom_mask) + # The following 4 lines control the domain filling + if dom_mask.any(): + (_, fval) = ufunc_fills[np.divide] + other_data = np.where( + dom_mask, other_data.dtype.type(fval), other_data) + self._mask |= new_mask + other_data = np.where(self._mask, other_data.dtype.type(1), other_data) + self._data.__idiv__(other_data) + return self + + def __ifloordiv__(self, other): + """ + Floor divide self by other in-place. + + """ + other_data = getdata(other) + dom_mask = _DomainSafeDivide().__call__(self._data, other_data) + other_mask = getmask(other) + new_mask = mask_or(other_mask, dom_mask) + # The following 3 lines control the domain filling + if dom_mask.any(): + (_, fval) = ufunc_fills[np.floor_divide] + other_data = np.where( + dom_mask, other_data.dtype.type(fval), other_data) + self._mask |= new_mask + other_data = np.where(self._mask, other_data.dtype.type(1), other_data) + self._data.__ifloordiv__(other_data) + return self + + def __itruediv__(self, other): + """ + True divide self by other in-place. + + """ + other_data = getdata(other) + dom_mask = _DomainSafeDivide().__call__(self._data, other_data) + other_mask = getmask(other) + new_mask = mask_or(other_mask, dom_mask) + # The following 3 lines control the domain filling + if dom_mask.any(): + (_, fval) = ufunc_fills[np.true_divide] + other_data = np.where( + dom_mask, other_data.dtype.type(fval), other_data) + self._mask |= new_mask + other_data = np.where(self._mask, other_data.dtype.type(1), other_data) + self._data.__itruediv__(other_data) + return self + + def __ipow__(self, other): + """ + Raise self to the power other, in place. + + """ + other_data = getdata(other) + other_data = np.where(self._mask, other_data.dtype.type(1), other_data) + other_mask = getmask(other) + with np.errstate(divide='ignore', invalid='ignore'): + self._data.__ipow__(other_data) + invalid = np.logical_not(np.isfinite(self._data)) + if invalid.any(): + if self._mask is not nomask: + self._mask |= invalid + else: + self._mask = invalid + np.copyto(self._data, self.fill_value, where=invalid) + new_mask = mask_or(other_mask, invalid) + self._mask = mask_or(self._mask, new_mask) + return self + + def __float__(self): + """ + Convert to float. + + """ + if self.size > 1: + raise TypeError("Only length-1 arrays can be converted " + "to Python scalars") + elif self._mask: + warnings.warn("Warning: converting a masked element to nan.", stacklevel=2) + return np.nan + return float(self.item()) + + def __int__(self): + """ + Convert to int. + + """ + if self.size > 1: + raise TypeError("Only length-1 arrays can be converted " + "to Python scalars") + elif self._mask: + raise MaskError('Cannot convert masked element to a Python int.') + return int(self.item()) + + @property + def imag(self): + """ + The imaginary part of the masked array. + + This property is a view on the imaginary part of this `MaskedArray`. + + See Also + -------- + real + + Examples + -------- + >>> x = np.ma.array([1+1.j, -2j, 3.45+1.6j], mask=[False, True, False]) + >>> x.imag + masked_array(data=[1.0, --, 1.6], + mask=[False, True, False], + fill_value=1e+20) + + """ + result = self._data.imag.view(type(self)) + result.__setmask__(self._mask) + return result + + # kept for compatibility + get_imag = imag.fget + + @property + def real(self): + """ + The real part of the masked array. + + This property is a view on the real part of this `MaskedArray`. + + See Also + -------- + imag + + Examples + -------- + >>> x = np.ma.array([1+1.j, -2j, 3.45+1.6j], mask=[False, True, False]) + >>> x.real + masked_array(data=[1.0, --, 3.45], + mask=[False, True, False], + fill_value=1e+20) + + """ + result = self._data.real.view(type(self)) + result.__setmask__(self._mask) + return result + + # kept for compatibility + get_real = real.fget + + def count(self, axis=None, keepdims=np._NoValue): + """ + Count the non-masked elements of the array along the given axis. + + Parameters + ---------- + axis : None or int or tuple of ints, optional + Axis or axes along which the count is performed. + The default, None, performs the count over all + the dimensions of the input array. `axis` may be negative, in + which case it counts from the last to the first axis. + + .. versionadded:: 1.10.0 + + If this is a tuple of ints, the count is performed on multiple + axes, instead of a single axis or all the axes as before. + keepdims : bool, optional + If this is set to True, the axes which are reduced are left + in the result as dimensions with size one. With this option, + the result will broadcast correctly against the array. + + Returns + ------- + result : ndarray or scalar + An array with the same shape as the input array, with the specified + axis removed. If the array is a 0-d array, or if `axis` is None, a + scalar is returned. + + See Also + -------- + ma.count_masked : Count masked elements in array or along a given axis. + + Examples + -------- + >>> import numpy.ma as ma + >>> a = ma.arange(6).reshape((2, 3)) + >>> a[1, :] = ma.masked + >>> a + masked_array( + data=[[0, 1, 2], + [--, --, --]], + mask=[[False, False, False], + [ True, True, True]], + fill_value=999999) + >>> a.count() + 3 + + When the `axis` keyword is specified an array of appropriate size is + returned. + + >>> a.count(axis=0) + array([1, 1, 1]) + >>> a.count(axis=1) + array([3, 0]) + + """ + kwargs = {} if keepdims is np._NoValue else {'keepdims': keepdims} + + m = self._mask + # special case for matrices (we assume no other subclasses modify + # their dimensions) + if isinstance(self.data, np.matrix): + if m is nomask: + m = np.zeros(self.shape, dtype=np.bool_) + m = m.view(type(self.data)) + + if m is nomask: + # compare to _count_reduce_items in _methods.py + + if self.shape == (): + if axis not in (None, 0): + raise np.AxisError(axis=axis, ndim=self.ndim) + return 1 + elif axis is None: + if kwargs.get('keepdims', False): + return np.array(self.size, dtype=np.intp, ndmin=self.ndim) + return self.size + + axes = normalize_axis_tuple(axis, self.ndim) + items = 1 + for ax in axes: + items *= self.shape[ax] + + if kwargs.get('keepdims', False): + out_dims = list(self.shape) + for a in axes: + out_dims[a] = 1 + else: + out_dims = [d for n, d in enumerate(self.shape) + if n not in axes] + # make sure to return a 0-d array if axis is supplied + return np.full(out_dims, items, dtype=np.intp) + + # take care of the masked singleton + if self is masked: + return 0 + + return (~m).sum(axis=axis, dtype=np.intp, **kwargs) + + def ravel(self, order='C'): + """ + Returns a 1D version of self, as a view. + + Parameters + ---------- + order : {'C', 'F', 'A', 'K'}, optional + The elements of `a` are read using this index order. 'C' means to + index the elements in C-like order, with the last axis index + changing fastest, back to the first axis index changing slowest. + 'F' means to index the elements in Fortran-like index order, with + the first index changing fastest, and the last index changing + slowest. Note that the 'C' and 'F' options take no account of the + memory layout of the underlying array, and only refer to the order + of axis indexing. 'A' means to read the elements in Fortran-like + index order if `m` is Fortran *contiguous* in memory, C-like order + otherwise. 'K' means to read the elements in the order they occur + in memory, except for reversing the data when strides are negative. + By default, 'C' index order is used. + (Masked arrays currently use 'A' on the data when 'K' is passed.) + + Returns + ------- + MaskedArray + Output view is of shape ``(self.size,)`` (or + ``(np.ma.product(self.shape),)``). + + Examples + -------- + >>> x = np.ma.array([[1,2,3],[4,5,6],[7,8,9]], mask=[0] + [1,0]*4) + >>> x + masked_array( + data=[[1, --, 3], + [--, 5, --], + [7, --, 9]], + mask=[[False, True, False], + [ True, False, True], + [False, True, False]], + fill_value=999999) + >>> x.ravel() + masked_array(data=[1, --, 3, --, 5, --, 7, --, 9], + mask=[False, True, False, True, False, True, False, True, + False], + fill_value=999999) + + """ + # The order of _data and _mask could be different (it shouldn't be + # normally). Passing order `K` or `A` would be incorrect. + # So we ignore the mask memory order. + # TODO: We don't actually support K, so use A instead. We could + # try to guess this correct by sorting strides or deprecate. + if order in "kKaA": + order = "F" if self._data.flags.fnc else "C" + r = ndarray.ravel(self._data, order=order).view(type(self)) + r._update_from(self) + if self._mask is not nomask: + r._mask = ndarray.ravel(self._mask, order=order).reshape(r.shape) + else: + r._mask = nomask + return r + + + def reshape(self, *s, **kwargs): + """ + Give a new shape to the array without changing its data. + + Returns a masked array containing the same data, but with a new shape. + The result is a view on the original array; if this is not possible, a + ValueError is raised. + + Parameters + ---------- + shape : int or tuple of ints + The new shape should be compatible with the original shape. If an + integer is supplied, then the result will be a 1-D array of that + length. + order : {'C', 'F'}, optional + Determines whether the array data should be viewed as in C + (row-major) or FORTRAN (column-major) order. + + Returns + ------- + reshaped_array : array + A new view on the array. + + See Also + -------- + reshape : Equivalent function in the masked array module. + numpy.ndarray.reshape : Equivalent method on ndarray object. + numpy.reshape : Equivalent function in the NumPy module. + + Notes + ----- + The reshaping operation cannot guarantee that a copy will not be made, + to modify the shape in place, use ``a.shape = s`` + + Examples + -------- + >>> x = np.ma.array([[1,2],[3,4]], mask=[1,0,0,1]) + >>> x + masked_array( + data=[[--, 2], + [3, --]], + mask=[[ True, False], + [False, True]], + fill_value=999999) + >>> x = x.reshape((4,1)) + >>> x + masked_array( + data=[[--], + [2], + [3], + [--]], + mask=[[ True], + [False], + [False], + [ True]], + fill_value=999999) + + """ + kwargs.update(order=kwargs.get('order', 'C')) + result = self._data.reshape(*s, **kwargs).view(type(self)) + result._update_from(self) + mask = self._mask + if mask is not nomask: + result._mask = mask.reshape(*s, **kwargs) + return result + + def resize(self, newshape, refcheck=True, order=False): + """ + .. warning:: + + This method does nothing, except raise a ValueError exception. A + masked array does not own its data and therefore cannot safely be + resized in place. Use the `numpy.ma.resize` function instead. + + This method is difficult to implement safely and may be deprecated in + future releases of NumPy. + + """ + # Note : the 'order' keyword looks broken, let's just drop it + errmsg = "A masked array does not own its data "\ + "and therefore cannot be resized.\n" \ + "Use the numpy.ma.resize function instead." + raise ValueError(errmsg) + + def put(self, indices, values, mode='raise'): + """ + Set storage-indexed locations to corresponding values. + + Sets self._data.flat[n] = values[n] for each n in indices. + If `values` is shorter than `indices` then it will repeat. + If `values` has some masked values, the initial mask is updated + in consequence, else the corresponding values are unmasked. + + Parameters + ---------- + indices : 1-D array_like + Target indices, interpreted as integers. + values : array_like + Values to place in self._data copy at target indices. + mode : {'raise', 'wrap', 'clip'}, optional + Specifies how out-of-bounds indices will behave. + 'raise' : raise an error. + 'wrap' : wrap around. + 'clip' : clip to the range. + + Notes + ----- + `values` can be a scalar or length 1 array. + + Examples + -------- + >>> x = np.ma.array([[1,2,3],[4,5,6],[7,8,9]], mask=[0] + [1,0]*4) + >>> x + masked_array( + data=[[1, --, 3], + [--, 5, --], + [7, --, 9]], + mask=[[False, True, False], + [ True, False, True], + [False, True, False]], + fill_value=999999) + >>> x.put([0,4,8],[10,20,30]) + >>> x + masked_array( + data=[[10, --, 3], + [--, 20, --], + [7, --, 30]], + mask=[[False, True, False], + [ True, False, True], + [False, True, False]], + fill_value=999999) + + >>> x.put(4,999) + >>> x + masked_array( + data=[[10, --, 3], + [--, 999, --], + [7, --, 30]], + mask=[[False, True, False], + [ True, False, True], + [False, True, False]], + fill_value=999999) + + """ + # Hard mask: Get rid of the values/indices that fall on masked data + if self._hardmask and self._mask is not nomask: + mask = self._mask[indices] + indices = narray(indices, copy=False) + values = narray(values, copy=False, subok=True) + values.resize(indices.shape) + indices = indices[~mask] + values = values[~mask] + + self._data.put(indices, values, mode=mode) + + # short circuit if neither self nor values are masked + if self._mask is nomask and getmask(values) is nomask: + return + + m = getmaskarray(self) + + if getmask(values) is nomask: + m.put(indices, False, mode=mode) + else: + m.put(indices, values._mask, mode=mode) + m = make_mask(m, copy=False, shrink=True) + self._mask = m + return + + def ids(self): + """ + Return the addresses of the data and mask areas. + + Parameters + ---------- + None + + Examples + -------- + >>> x = np.ma.array([1, 2, 3], mask=[0, 1, 1]) + >>> x.ids() + (166670640, 166659832) # may vary + + If the array has no mask, the address of `nomask` is returned. This address + is typically not close to the data in memory: + + >>> x = np.ma.array([1, 2, 3]) + >>> x.ids() + (166691080, 3083169284) # may vary + + """ + if self._mask is nomask: + return (self.ctypes.data, id(nomask)) + return (self.ctypes.data, self._mask.ctypes.data) + + def iscontiguous(self): + """ + Return a boolean indicating whether the data is contiguous. + + Parameters + ---------- + None + + Examples + -------- + >>> x = np.ma.array([1, 2, 3]) + >>> x.iscontiguous() + True + + `iscontiguous` returns one of the flags of the masked array: + + >>> x.flags + C_CONTIGUOUS : True + F_CONTIGUOUS : True + OWNDATA : False + WRITEABLE : True + ALIGNED : True + WRITEBACKIFCOPY : False + + """ + return self.flags['CONTIGUOUS'] + + def all(self, axis=None, out=None, keepdims=np._NoValue): + """ + Returns True if all elements evaluate to True. + + The output array is masked where all the values along the given axis + are masked: if the output would have been a scalar and that all the + values are masked, then the output is `masked`. + + Refer to `numpy.all` for full documentation. + + See Also + -------- + numpy.ndarray.all : corresponding function for ndarrays + numpy.all : equivalent function + + Examples + -------- + >>> np.ma.array([1,2,3]).all() + True + >>> a = np.ma.array([1,2,3], mask=True) + >>> (a.all() is np.ma.masked) + True + + """ + kwargs = {} if keepdims is np._NoValue else {'keepdims': keepdims} + + mask = _check_mask_axis(self._mask, axis, **kwargs) + if out is None: + d = self.filled(True).all(axis=axis, **kwargs).view(type(self)) + if d.ndim: + d.__setmask__(mask) + elif mask: + return masked + return d + self.filled(True).all(axis=axis, out=out, **kwargs) + if isinstance(out, MaskedArray): + if out.ndim or mask: + out.__setmask__(mask) + return out + + def any(self, axis=None, out=None, keepdims=np._NoValue): + """ + Returns True if any of the elements of `a` evaluate to True. + + Masked values are considered as False during computation. + + Refer to `numpy.any` for full documentation. + + See Also + -------- + numpy.ndarray.any : corresponding function for ndarrays + numpy.any : equivalent function + + """ + kwargs = {} if keepdims is np._NoValue else {'keepdims': keepdims} + + mask = _check_mask_axis(self._mask, axis, **kwargs) + if out is None: + d = self.filled(False).any(axis=axis, **kwargs).view(type(self)) + if d.ndim: + d.__setmask__(mask) + elif mask: + d = masked + return d + self.filled(False).any(axis=axis, out=out, **kwargs) + if isinstance(out, MaskedArray): + if out.ndim or mask: + out.__setmask__(mask) + return out + + def nonzero(self): + """ + Return the indices of unmasked elements that are not zero. + + Returns a tuple of arrays, one for each dimension, containing the + indices of the non-zero elements in that dimension. The corresponding + non-zero values can be obtained with:: + + a[a.nonzero()] + + To group the indices by element, rather than dimension, use + instead:: + + np.transpose(a.nonzero()) + + The result of this is always a 2d array, with a row for each non-zero + element. + + Parameters + ---------- + None + + Returns + ------- + tuple_of_arrays : tuple + Indices of elements that are non-zero. + + See Also + -------- + numpy.nonzero : + Function operating on ndarrays. + flatnonzero : + Return indices that are non-zero in the flattened version of the input + array. + numpy.ndarray.nonzero : + Equivalent ndarray method. + count_nonzero : + Counts the number of non-zero elements in the input array. + + Examples + -------- + >>> import numpy.ma as ma + >>> x = ma.array(np.eye(3)) + >>> x + masked_array( + data=[[1., 0., 0.], + [0., 1., 0.], + [0., 0., 1.]], + mask=False, + fill_value=1e+20) + >>> x.nonzero() + (array([0, 1, 2]), array([0, 1, 2])) + + Masked elements are ignored. + + >>> x[1, 1] = ma.masked + >>> x + masked_array( + data=[[1.0, 0.0, 0.0], + [0.0, --, 0.0], + [0.0, 0.0, 1.0]], + mask=[[False, False, False], + [False, True, False], + [False, False, False]], + fill_value=1e+20) + >>> x.nonzero() + (array([0, 2]), array([0, 2])) + + Indices can also be grouped by element. + + >>> np.transpose(x.nonzero()) + array([[0, 0], + [2, 2]]) + + A common use for ``nonzero`` is to find the indices of an array, where + a condition is True. Given an array `a`, the condition `a` > 3 is a + boolean array and since False is interpreted as 0, ma.nonzero(a > 3) + yields the indices of the `a` where the condition is true. + + >>> a = ma.array([[1,2,3],[4,5,6],[7,8,9]]) + >>> a > 3 + masked_array( + data=[[False, False, False], + [ True, True, True], + [ True, True, True]], + mask=False, + fill_value=True) + >>> ma.nonzero(a > 3) + (array([1, 1, 1, 2, 2, 2]), array([0, 1, 2, 0, 1, 2])) + + The ``nonzero`` method of the condition array can also be called. + + >>> (a > 3).nonzero() + (array([1, 1, 1, 2, 2, 2]), array([0, 1, 2, 0, 1, 2])) + + """ + return narray(self.filled(0), copy=False).nonzero() + + def trace(self, offset=0, axis1=0, axis2=1, dtype=None, out=None): + """ + (this docstring should be overwritten) + """ + #!!!: implement out + test! + m = self._mask + if m is nomask: + result = super().trace(offset=offset, axis1=axis1, axis2=axis2, + out=out) + return result.astype(dtype) + else: + D = self.diagonal(offset=offset, axis1=axis1, axis2=axis2) + return D.astype(dtype).filled(0).sum(axis=-1, out=out) + trace.__doc__ = ndarray.trace.__doc__ + + def dot(self, b, out=None, strict=False): + """ + a.dot(b, out=None) + + Masked dot product of two arrays. Note that `out` and `strict` are + located in different positions than in `ma.dot`. In order to + maintain compatibility with the functional version, it is + recommended that the optional arguments be treated as keyword only. + At some point that may be mandatory. + + .. versionadded:: 1.10.0 + + Parameters + ---------- + b : masked_array_like + Inputs array. + out : masked_array, optional + Output argument. This must have the exact kind that would be + returned if it was not used. In particular, it must have the + right type, must be C-contiguous, and its dtype must be the + dtype that would be returned for `ma.dot(a,b)`. This is a + performance feature. Therefore, if these conditions are not + met, an exception is raised, instead of attempting to be + flexible. + strict : bool, optional + Whether masked data are propagated (True) or set to 0 (False) + for the computation. Default is False. Propagating the mask + means that if a masked value appears in a row or column, the + whole row or column is considered masked. + + .. versionadded:: 1.10.2 + + See Also + -------- + numpy.ma.dot : equivalent function + + """ + return dot(self, b, out=out, strict=strict) + + def sum(self, axis=None, dtype=None, out=None, keepdims=np._NoValue): + """ + Return the sum of the array elements over the given axis. + + Masked elements are set to 0 internally. + + Refer to `numpy.sum` for full documentation. + + See Also + -------- + numpy.ndarray.sum : corresponding function for ndarrays + numpy.sum : equivalent function + + Examples + -------- + >>> x = np.ma.array([[1,2,3],[4,5,6],[7,8,9]], mask=[0] + [1,0]*4) + >>> x + masked_array( + data=[[1, --, 3], + [--, 5, --], + [7, --, 9]], + mask=[[False, True, False], + [ True, False, True], + [False, True, False]], + fill_value=999999) + >>> x.sum() + 25 + >>> x.sum(axis=1) + masked_array(data=[4, 5, 16], + mask=[False, False, False], + fill_value=999999) + >>> x.sum(axis=0) + masked_array(data=[8, 5, 12], + mask=[False, False, False], + fill_value=999999) + >>> print(type(x.sum(axis=0, dtype=np.int64)[0])) + + + """ + kwargs = {} if keepdims is np._NoValue else {'keepdims': keepdims} + + _mask = self._mask + newmask = _check_mask_axis(_mask, axis, **kwargs) + # No explicit output + if out is None: + result = self.filled(0).sum(axis, dtype=dtype, **kwargs) + rndim = getattr(result, 'ndim', 0) + if rndim: + result = result.view(type(self)) + result.__setmask__(newmask) + elif newmask: + result = masked + return result + # Explicit output + result = self.filled(0).sum(axis, dtype=dtype, out=out, **kwargs) + if isinstance(out, MaskedArray): + outmask = getmask(out) + if outmask is nomask: + outmask = out._mask = make_mask_none(out.shape) + outmask.flat = newmask + return out + + def cumsum(self, axis=None, dtype=None, out=None): + """ + Return the cumulative sum of the array elements over the given axis. + + Masked values are set to 0 internally during the computation. + However, their position is saved, and the result will be masked at + the same locations. + + Refer to `numpy.cumsum` for full documentation. + + Notes + ----- + The mask is lost if `out` is not a valid :class:`ma.MaskedArray` ! + + Arithmetic is modular when using integer types, and no error is + raised on overflow. + + See Also + -------- + numpy.ndarray.cumsum : corresponding function for ndarrays + numpy.cumsum : equivalent function + + Examples + -------- + >>> marr = np.ma.array(np.arange(10), mask=[0,0,0,1,1,1,0,0,0,0]) + >>> marr.cumsum() + masked_array(data=[0, 1, 3, --, --, --, 9, 16, 24, 33], + mask=[False, False, False, True, True, True, False, False, + False, False], + fill_value=999999) + + """ + result = self.filled(0).cumsum(axis=axis, dtype=dtype, out=out) + if out is not None: + if isinstance(out, MaskedArray): + out.__setmask__(self.mask) + return out + result = result.view(type(self)) + result.__setmask__(self._mask) + return result + + def prod(self, axis=None, dtype=None, out=None, keepdims=np._NoValue): + """ + Return the product of the array elements over the given axis. + + Masked elements are set to 1 internally for computation. + + Refer to `numpy.prod` for full documentation. + + Notes + ----- + Arithmetic is modular when using integer types, and no error is raised + on overflow. + + See Also + -------- + numpy.ndarray.prod : corresponding function for ndarrays + numpy.prod : equivalent function + """ + kwargs = {} if keepdims is np._NoValue else {'keepdims': keepdims} + + _mask = self._mask + newmask = _check_mask_axis(_mask, axis, **kwargs) + # No explicit output + if out is None: + result = self.filled(1).prod(axis, dtype=dtype, **kwargs) + rndim = getattr(result, 'ndim', 0) + if rndim: + result = result.view(type(self)) + result.__setmask__(newmask) + elif newmask: + result = masked + return result + # Explicit output + result = self.filled(1).prod(axis, dtype=dtype, out=out, **kwargs) + if isinstance(out, MaskedArray): + outmask = getmask(out) + if outmask is nomask: + outmask = out._mask = make_mask_none(out.shape) + outmask.flat = newmask + return out + product = prod + + def cumprod(self, axis=None, dtype=None, out=None): + """ + Return the cumulative product of the array elements over the given axis. + + Masked values are set to 1 internally during the computation. + However, their position is saved, and the result will be masked at + the same locations. + + Refer to `numpy.cumprod` for full documentation. + + Notes + ----- + The mask is lost if `out` is not a valid MaskedArray ! + + Arithmetic is modular when using integer types, and no error is + raised on overflow. + + See Also + -------- + numpy.ndarray.cumprod : corresponding function for ndarrays + numpy.cumprod : equivalent function + """ + result = self.filled(1).cumprod(axis=axis, dtype=dtype, out=out) + if out is not None: + if isinstance(out, MaskedArray): + out.__setmask__(self._mask) + return out + result = result.view(type(self)) + result.__setmask__(self._mask) + return result + + def mean(self, axis=None, dtype=None, out=None, keepdims=np._NoValue): + """ + Returns the average of the array elements along given axis. + + Masked entries are ignored, and result elements which are not + finite will be masked. + + Refer to `numpy.mean` for full documentation. + + See Also + -------- + numpy.ndarray.mean : corresponding function for ndarrays + numpy.mean : Equivalent function + numpy.ma.average : Weighted average. + + Examples + -------- + >>> a = np.ma.array([1,2,3], mask=[False, False, True]) + >>> a + masked_array(data=[1, 2, --], + mask=[False, False, True], + fill_value=999999) + >>> a.mean() + 1.5 + + """ + kwargs = {} if keepdims is np._NoValue else {'keepdims': keepdims} + if self._mask is nomask: + result = super().mean(axis=axis, dtype=dtype, **kwargs)[()] + else: + is_float16_result = False + if dtype is None: + if issubclass(self.dtype.type, (ntypes.integer, ntypes.bool_)): + dtype = mu.dtype('f8') + elif issubclass(self.dtype.type, ntypes.float16): + dtype = mu.dtype('f4') + is_float16_result = True + dsum = self.sum(axis=axis, dtype=dtype, **kwargs) + cnt = self.count(axis=axis, **kwargs) + if cnt.shape == () and (cnt == 0): + result = masked + elif is_float16_result: + result = self.dtype.type(dsum * 1. / cnt) + else: + result = dsum * 1. / cnt + if out is not None: + out.flat = result + if isinstance(out, MaskedArray): + outmask = getmask(out) + if outmask is nomask: + outmask = out._mask = make_mask_none(out.shape) + outmask.flat = getmask(result) + return out + return result + + def anom(self, axis=None, dtype=None): + """ + Compute the anomalies (deviations from the arithmetic mean) + along the given axis. + + Returns an array of anomalies, with the same shape as the input and + where the arithmetic mean is computed along the given axis. + + Parameters + ---------- + axis : int, optional + Axis over which the anomalies are taken. + The default is to use the mean of the flattened array as reference. + dtype : dtype, optional + Type to use in computing the variance. For arrays of integer type + the default is float32; for arrays of float types it is the same as + the array type. + + See Also + -------- + mean : Compute the mean of the array. + + Examples + -------- + >>> a = np.ma.array([1,2,3]) + >>> a.anom() + masked_array(data=[-1., 0., 1.], + mask=False, + fill_value=1e+20) + + """ + m = self.mean(axis, dtype) + if not axis: + return self - m + else: + return self - expand_dims(m, axis) + + def var(self, axis=None, dtype=None, out=None, ddof=0, + keepdims=np._NoValue): + """ + Returns the variance of the array elements along given axis. + + Masked entries are ignored, and result elements which are not + finite will be masked. + + Refer to `numpy.var` for full documentation. + + See Also + -------- + numpy.ndarray.var : corresponding function for ndarrays + numpy.var : Equivalent function + """ + kwargs = {} if keepdims is np._NoValue else {'keepdims': keepdims} + + # Easy case: nomask, business as usual + if self._mask is nomask: + ret = super().var(axis=axis, dtype=dtype, out=out, ddof=ddof, + **kwargs)[()] + if out is not None: + if isinstance(out, MaskedArray): + out.__setmask__(nomask) + return out + return ret + + # Some data are masked, yay! + cnt = self.count(axis=axis, **kwargs) - ddof + danom = self - self.mean(axis, dtype, keepdims=True) + if iscomplexobj(self): + danom = umath.absolute(danom) ** 2 + else: + danom *= danom + dvar = divide(danom.sum(axis, **kwargs), cnt).view(type(self)) + # Apply the mask if it's not a scalar + if dvar.ndim: + dvar._mask = mask_or(self._mask.all(axis, **kwargs), (cnt <= 0)) + dvar._update_from(self) + elif getmask(dvar): + # Make sure that masked is returned when the scalar is masked. + dvar = masked + if out is not None: + if isinstance(out, MaskedArray): + out.flat = 0 + out.__setmask__(True) + elif out.dtype.kind in 'biu': + errmsg = "Masked data information would be lost in one or "\ + "more location." + raise MaskError(errmsg) + else: + out.flat = np.nan + return out + # In case with have an explicit output + if out is not None: + # Set the data + out.flat = dvar + # Set the mask if needed + if isinstance(out, MaskedArray): + out.__setmask__(dvar.mask) + return out + return dvar + var.__doc__ = np.var.__doc__ + + def std(self, axis=None, dtype=None, out=None, ddof=0, + keepdims=np._NoValue): + """ + Returns the standard deviation of the array elements along given axis. + + Masked entries are ignored. + + Refer to `numpy.std` for full documentation. + + See Also + -------- + numpy.ndarray.std : corresponding function for ndarrays + numpy.std : Equivalent function + """ + kwargs = {} if keepdims is np._NoValue else {'keepdims': keepdims} + + dvar = self.var(axis, dtype, out, ddof, **kwargs) + if dvar is not masked: + if out is not None: + np.power(out, 0.5, out=out, casting='unsafe') + return out + dvar = sqrt(dvar) + return dvar + + def round(self, decimals=0, out=None): + """ + Return each element rounded to the given number of decimals. + + Refer to `numpy.around` for full documentation. + + See Also + -------- + numpy.ndarray.round : corresponding function for ndarrays + numpy.around : equivalent function + """ + result = self._data.round(decimals=decimals, out=out).view(type(self)) + if result.ndim > 0: + result._mask = self._mask + result._update_from(self) + elif self._mask: + # Return masked when the scalar is masked + result = masked + # No explicit output: we're done + if out is None: + return result + if isinstance(out, MaskedArray): + out.__setmask__(self._mask) + return out + + def argsort(self, axis=np._NoValue, kind=None, order=None, + endwith=True, fill_value=None): + """ + Return an ndarray of indices that sort the array along the + specified axis. Masked values are filled beforehand to + `fill_value`. + + Parameters + ---------- + axis : int, optional + Axis along which to sort. If None, the default, the flattened array + is used. + + .. versionchanged:: 1.13.0 + Previously, the default was documented to be -1, but that was + in error. At some future date, the default will change to -1, as + originally intended. + Until then, the axis should be given explicitly when + ``arr.ndim > 1``, to avoid a FutureWarning. + kind : {'quicksort', 'mergesort', 'heapsort', 'stable'}, optional + The sorting algorithm used. + order : list, optional + When `a` is an array with fields defined, this argument specifies + which fields to compare first, second, etc. Not all fields need be + specified. + endwith : {True, False}, optional + Whether missing values (if any) should be treated as the largest values + (True) or the smallest values (False) + When the array contains unmasked values at the same extremes of the + datatype, the ordering of these values and the masked values is + undefined. + fill_value : scalar or None, optional + Value used internally for the masked values. + If ``fill_value`` is not None, it supersedes ``endwith``. + + Returns + ------- + index_array : ndarray, int + Array of indices that sort `a` along the specified axis. + In other words, ``a[index_array]`` yields a sorted `a`. + + See Also + -------- + ma.MaskedArray.sort : Describes sorting algorithms used. + lexsort : Indirect stable sort with multiple keys. + numpy.ndarray.sort : Inplace sort. + + Notes + ----- + See `sort` for notes on the different sorting algorithms. + + Examples + -------- + >>> a = np.ma.array([3,2,1], mask=[False, False, True]) + >>> a + masked_array(data=[3, 2, --], + mask=[False, False, True], + fill_value=999999) + >>> a.argsort() + array([1, 0, 2]) + + """ + + # 2017-04-11, Numpy 1.13.0, gh-8701: warn on axis default + if axis is np._NoValue: + axis = _deprecate_argsort_axis(self) + + if fill_value is None: + if endwith: + # nan > inf + if np.issubdtype(self.dtype, np.floating): + fill_value = np.nan + else: + fill_value = minimum_fill_value(self) + else: + fill_value = maximum_fill_value(self) + + filled = self.filled(fill_value) + return filled.argsort(axis=axis, kind=kind, order=order) + + def argmin(self, axis=None, fill_value=None, out=None, *, + keepdims=np._NoValue): + """ + Return array of indices to the minimum values along the given axis. + + Parameters + ---------- + axis : {None, integer} + If None, the index is into the flattened array, otherwise along + the specified axis + fill_value : scalar or None, optional + Value used to fill in the masked values. If None, the output of + minimum_fill_value(self._data) is used instead. + out : {None, array}, optional + Array into which the result can be placed. Its type is preserved + and it must be of the right shape to hold the output. + + Returns + ------- + ndarray or scalar + If multi-dimension input, returns a new ndarray of indices to the + minimum values along the given axis. Otherwise, returns a scalar + of index to the minimum values along the given axis. + + Examples + -------- + >>> x = np.ma.array(np.arange(4), mask=[1,1,0,0]) + >>> x.shape = (2,2) + >>> x + masked_array( + data=[[--, --], + [2, 3]], + mask=[[ True, True], + [False, False]], + fill_value=999999) + >>> x.argmin(axis=0, fill_value=-1) + array([0, 0]) + >>> x.argmin(axis=0, fill_value=9) + array([1, 1]) + + """ + if fill_value is None: + fill_value = minimum_fill_value(self) + d = self.filled(fill_value).view(ndarray) + keepdims = False if keepdims is np._NoValue else bool(keepdims) + return d.argmin(axis, out=out, keepdims=keepdims) + + def argmax(self, axis=None, fill_value=None, out=None, *, + keepdims=np._NoValue): + """ + Returns array of indices of the maximum values along the given axis. + Masked values are treated as if they had the value fill_value. + + Parameters + ---------- + axis : {None, integer} + If None, the index is into the flattened array, otherwise along + the specified axis + fill_value : scalar or None, optional + Value used to fill in the masked values. If None, the output of + maximum_fill_value(self._data) is used instead. + out : {None, array}, optional + Array into which the result can be placed. Its type is preserved + and it must be of the right shape to hold the output. + + Returns + ------- + index_array : {integer_array} + + Examples + -------- + >>> a = np.arange(6).reshape(2,3) + >>> a.argmax() + 5 + >>> a.argmax(0) + array([1, 1, 1]) + >>> a.argmax(1) + array([2, 2]) + + """ + if fill_value is None: + fill_value = maximum_fill_value(self._data) + d = self.filled(fill_value).view(ndarray) + keepdims = False if keepdims is np._NoValue else bool(keepdims) + return d.argmax(axis, out=out, keepdims=keepdims) + + def sort(self, axis=-1, kind=None, order=None, + endwith=True, fill_value=None): + """ + Sort the array, in-place + + Parameters + ---------- + a : array_like + Array to be sorted. + axis : int, optional + Axis along which to sort. If None, the array is flattened before + sorting. The default is -1, which sorts along the last axis. + kind : {'quicksort', 'mergesort', 'heapsort', 'stable'}, optional + The sorting algorithm used. + order : list, optional + When `a` is a structured array, this argument specifies which fields + to compare first, second, and so on. This list does not need to + include all of the fields. + endwith : {True, False}, optional + Whether missing values (if any) should be treated as the largest values + (True) or the smallest values (False) + When the array contains unmasked values sorting at the same extremes of the + datatype, the ordering of these values and the masked values is + undefined. + fill_value : scalar or None, optional + Value used internally for the masked values. + If ``fill_value`` is not None, it supersedes ``endwith``. + + Returns + ------- + sorted_array : ndarray + Array of the same type and shape as `a`. + + See Also + -------- + numpy.ndarray.sort : Method to sort an array in-place. + argsort : Indirect sort. + lexsort : Indirect stable sort on multiple keys. + searchsorted : Find elements in a sorted array. + + Notes + ----- + See ``sort`` for notes on the different sorting algorithms. + + Examples + -------- + >>> a = np.ma.array([1, 2, 5, 4, 3],mask=[0, 1, 0, 1, 0]) + >>> # Default + >>> a.sort() + >>> a + masked_array(data=[1, 3, 5, --, --], + mask=[False, False, False, True, True], + fill_value=999999) + + >>> a = np.ma.array([1, 2, 5, 4, 3],mask=[0, 1, 0, 1, 0]) + >>> # Put missing values in the front + >>> a.sort(endwith=False) + >>> a + masked_array(data=[--, --, 1, 3, 5], + mask=[ True, True, False, False, False], + fill_value=999999) + + >>> a = np.ma.array([1, 2, 5, 4, 3],mask=[0, 1, 0, 1, 0]) + >>> # fill_value takes over endwith + >>> a.sort(endwith=False, fill_value=3) + >>> a + masked_array(data=[1, --, --, 3, 5], + mask=[False, True, True, False, False], + fill_value=999999) + + """ + if self._mask is nomask: + ndarray.sort(self, axis=axis, kind=kind, order=order) + return + + if self is masked: + return + + sidx = self.argsort(axis=axis, kind=kind, order=order, + fill_value=fill_value, endwith=endwith) + + self[...] = np.take_along_axis(self, sidx, axis=axis) + + def min(self, axis=None, out=None, fill_value=None, keepdims=np._NoValue): + """ + Return the minimum along a given axis. + + Parameters + ---------- + axis : None or int or tuple of ints, optional + Axis along which to operate. By default, ``axis`` is None and the + flattened input is used. + .. versionadded:: 1.7.0 + If this is a tuple of ints, the minimum is selected over multiple + axes, instead of a single axis or all the axes as before. + out : array_like, optional + Alternative output array in which to place the result. Must be of + the same shape and buffer length as the expected output. + fill_value : scalar or None, optional + Value used to fill in the masked values. + If None, use the output of `minimum_fill_value`. + keepdims : bool, optional + If this is set to True, the axes which are reduced are left + in the result as dimensions with size one. With this option, + the result will broadcast correctly against the array. + + Returns + ------- + amin : array_like + New array holding the result. + If ``out`` was specified, ``out`` is returned. + + See Also + -------- + ma.minimum_fill_value + Returns the minimum filling value for a given datatype. + + Examples + -------- + >>> import numpy.ma as ma + >>> x = [[1., -2., 3.], [0.2, -0.7, 0.1]] + >>> mask = [[1, 1, 0], [0, 0, 1]] + >>> masked_x = ma.masked_array(x, mask) + >>> masked_x + masked_array( + data=[[--, --, 3.0], + [0.2, -0.7, --]], + mask=[[ True, True, False], + [False, False, True]], + fill_value=1e+20) + >>> ma.min(masked_x) + -0.7 + >>> ma.min(masked_x, axis=-1) + masked_array(data=[3.0, -0.7], + mask=[False, False], + fill_value=1e+20) + >>> ma.min(masked_x, axis=0, keepdims=True) + masked_array(data=[[0.2, -0.7, 3.0]], + mask=[[False, False, False]], + fill_value=1e+20) + >>> mask = [[1, 1, 1,], [1, 1, 1]] + >>> masked_x = ma.masked_array(x, mask) + >>> ma.min(masked_x, axis=0) + masked_array(data=[--, --, --], + mask=[ True, True, True], + fill_value=1e+20, + dtype=float64) + """ + kwargs = {} if keepdims is np._NoValue else {'keepdims': keepdims} + + _mask = self._mask + newmask = _check_mask_axis(_mask, axis, **kwargs) + if fill_value is None: + fill_value = minimum_fill_value(self) + # No explicit output + if out is None: + result = self.filled(fill_value).min( + axis=axis, out=out, **kwargs).view(type(self)) + if result.ndim: + # Set the mask + result.__setmask__(newmask) + # Get rid of Infs + if newmask.ndim: + np.copyto(result, result.fill_value, where=newmask) + elif newmask: + result = masked + return result + # Explicit output + result = self.filled(fill_value).min(axis=axis, out=out, **kwargs) + if isinstance(out, MaskedArray): + outmask = getmask(out) + if outmask is nomask: + outmask = out._mask = make_mask_none(out.shape) + outmask.flat = newmask + else: + if out.dtype.kind in 'biu': + errmsg = "Masked data information would be lost in one or more"\ + " location." + raise MaskError(errmsg) + np.copyto(out, np.nan, where=newmask) + return out + + def max(self, axis=None, out=None, fill_value=None, keepdims=np._NoValue): + """ + Return the maximum along a given axis. + + Parameters + ---------- + axis : None or int or tuple of ints, optional + Axis along which to operate. By default, ``axis`` is None and the + flattened input is used. + .. versionadded:: 1.7.0 + If this is a tuple of ints, the maximum is selected over multiple + axes, instead of a single axis or all the axes as before. + out : array_like, optional + Alternative output array in which to place the result. Must + be of the same shape and buffer length as the expected output. + fill_value : scalar or None, optional + Value used to fill in the masked values. + If None, use the output of maximum_fill_value(). + keepdims : bool, optional + If this is set to True, the axes which are reduced are left + in the result as dimensions with size one. With this option, + the result will broadcast correctly against the array. + + Returns + ------- + amax : array_like + New array holding the result. + If ``out`` was specified, ``out`` is returned. + + See Also + -------- + ma.maximum_fill_value + Returns the maximum filling value for a given datatype. + + Examples + -------- + >>> import numpy.ma as ma + >>> x = [[-1., 2.5], [4., -2.], [3., 0.]] + >>> mask = [[0, 0], [1, 0], [1, 0]] + >>> masked_x = ma.masked_array(x, mask) + >>> masked_x + masked_array( + data=[[-1.0, 2.5], + [--, -2.0], + [--, 0.0]], + mask=[[False, False], + [ True, False], + [ True, False]], + fill_value=1e+20) + >>> ma.max(masked_x) + 2.5 + >>> ma.max(masked_x, axis=0) + masked_array(data=[-1.0, 2.5], + mask=[False, False], + fill_value=1e+20) + >>> ma.max(masked_x, axis=1, keepdims=True) + masked_array( + data=[[2.5], + [-2.0], + [0.0]], + mask=[[False], + [False], + [False]], + fill_value=1e+20) + >>> mask = [[1, 1], [1, 1], [1, 1]] + >>> masked_x = ma.masked_array(x, mask) + >>> ma.max(masked_x, axis=1) + masked_array(data=[--, --, --], + mask=[ True, True, True], + fill_value=1e+20, + dtype=float64) + """ + kwargs = {} if keepdims is np._NoValue else {'keepdims': keepdims} + + _mask = self._mask + newmask = _check_mask_axis(_mask, axis, **kwargs) + if fill_value is None: + fill_value = maximum_fill_value(self) + # No explicit output + if out is None: + result = self.filled(fill_value).max( + axis=axis, out=out, **kwargs).view(type(self)) + if result.ndim: + # Set the mask + result.__setmask__(newmask) + # Get rid of Infs + if newmask.ndim: + np.copyto(result, result.fill_value, where=newmask) + elif newmask: + result = masked + return result + # Explicit output + result = self.filled(fill_value).max(axis=axis, out=out, **kwargs) + if isinstance(out, MaskedArray): + outmask = getmask(out) + if outmask is nomask: + outmask = out._mask = make_mask_none(out.shape) + outmask.flat = newmask + else: + + if out.dtype.kind in 'biu': + errmsg = "Masked data information would be lost in one or more"\ + " location." + raise MaskError(errmsg) + np.copyto(out, np.nan, where=newmask) + return out + + def ptp(self, axis=None, out=None, fill_value=None, keepdims=False): + """ + Return (maximum - minimum) along the given dimension + (i.e. peak-to-peak value). + + .. warning:: + `ptp` preserves the data type of the array. This means the + return value for an input of signed integers with n bits + (e.g. `np.int8`, `np.int16`, etc) is also a signed integer + with n bits. In that case, peak-to-peak values greater than + ``2**(n-1)-1`` will be returned as negative values. An example + with a work-around is shown below. + + Parameters + ---------- + axis : {None, int}, optional + Axis along which to find the peaks. If None (default) the + flattened array is used. + out : {None, array_like}, optional + Alternative output array in which to place the result. It must + have the same shape and buffer length as the expected output + but the type will be cast if necessary. + fill_value : scalar or None, optional + Value used to fill in the masked values. + keepdims : bool, optional + If this is set to True, the axes which are reduced are left + in the result as dimensions with size one. With this option, + the result will broadcast correctly against the array. + + Returns + ------- + ptp : ndarray. + A new array holding the result, unless ``out`` was + specified, in which case a reference to ``out`` is returned. + + Examples + -------- + >>> x = np.ma.MaskedArray([[4, 9, 2, 10], + ... [6, 9, 7, 12]]) + + >>> x.ptp(axis=1) + masked_array(data=[8, 6], + mask=False, + fill_value=999999) + + >>> x.ptp(axis=0) + masked_array(data=[2, 0, 5, 2], + mask=False, + fill_value=999999) + + >>> x.ptp() + 10 + + This example shows that a negative value can be returned when + the input is an array of signed integers. + + >>> y = np.ma.MaskedArray([[1, 127], + ... [0, 127], + ... [-1, 127], + ... [-2, 127]], dtype=np.int8) + >>> y.ptp(axis=1) + masked_array(data=[ 126, 127, -128, -127], + mask=False, + fill_value=999999, + dtype=int8) + + A work-around is to use the `view()` method to view the result as + unsigned integers with the same bit width: + + >>> y.ptp(axis=1).view(np.uint8) + masked_array(data=[126, 127, 128, 129], + mask=False, + fill_value=999999, + dtype=uint8) + """ + if out is None: + result = self.max(axis=axis, fill_value=fill_value, + keepdims=keepdims) + result -= self.min(axis=axis, fill_value=fill_value, + keepdims=keepdims) + return result + out.flat = self.max(axis=axis, out=out, fill_value=fill_value, + keepdims=keepdims) + min_value = self.min(axis=axis, fill_value=fill_value, + keepdims=keepdims) + np.subtract(out, min_value, out=out, casting='unsafe') + return out + + def partition(self, *args, **kwargs): + warnings.warn("Warning: 'partition' will ignore the 'mask' " + f"of the {self.__class__.__name__}.", + stacklevel=2) + return super().partition(*args, **kwargs) + + def argpartition(self, *args, **kwargs): + warnings.warn("Warning: 'argpartition' will ignore the 'mask' " + f"of the {self.__class__.__name__}.", + stacklevel=2) + return super().argpartition(*args, **kwargs) + + def take(self, indices, axis=None, out=None, mode='raise'): + """ + """ + (_data, _mask) = (self._data, self._mask) + cls = type(self) + # Make sure the indices are not masked + maskindices = getmask(indices) + if maskindices is not nomask: + indices = indices.filled(0) + # Get the data, promoting scalars to 0d arrays with [...] so that + # .view works correctly + if out is None: + out = _data.take(indices, axis=axis, mode=mode)[...].view(cls) + else: + np.take(_data, indices, axis=axis, mode=mode, out=out) + # Get the mask + if isinstance(out, MaskedArray): + if _mask is nomask: + outmask = maskindices + else: + outmask = _mask.take(indices, axis=axis, mode=mode) + outmask |= maskindices + out.__setmask__(outmask) + # demote 0d arrays back to scalars, for consistency with ndarray.take + return out[()] + + # Array methods + copy = _arraymethod('copy') + diagonal = _arraymethod('diagonal') + flatten = _arraymethod('flatten') + repeat = _arraymethod('repeat') + squeeze = _arraymethod('squeeze') + swapaxes = _arraymethod('swapaxes') + T = property(fget=lambda self: self.transpose()) + transpose = _arraymethod('transpose') + + def tolist(self, fill_value=None): + """ + Return the data portion of the masked array as a hierarchical Python list. + + Data items are converted to the nearest compatible Python type. + Masked values are converted to `fill_value`. If `fill_value` is None, + the corresponding entries in the output list will be ``None``. + + Parameters + ---------- + fill_value : scalar, optional + The value to use for invalid entries. Default is None. + + Returns + ------- + result : list + The Python list representation of the masked array. + + Examples + -------- + >>> x = np.ma.array([[1,2,3], [4,5,6], [7,8,9]], mask=[0] + [1,0]*4) + >>> x.tolist() + [[1, None, 3], [None, 5, None], [7, None, 9]] + >>> x.tolist(-999) + [[1, -999, 3], [-999, 5, -999], [7, -999, 9]] + + """ + _mask = self._mask + # No mask ? Just return .data.tolist ? + if _mask is nomask: + return self._data.tolist() + # Explicit fill_value: fill the array and get the list + if fill_value is not None: + return self.filled(fill_value).tolist() + # Structured array. + names = self.dtype.names + if names: + result = self._data.astype([(_, object) for _ in names]) + for n in names: + result[n][_mask[n]] = None + return result.tolist() + # Standard arrays. + if _mask is nomask: + return [None] + # Set temps to save time when dealing w/ marrays. + inishape = self.shape + result = np.array(self._data.ravel(), dtype=object) + result[_mask.ravel()] = None + result.shape = inishape + return result.tolist() + + def tostring(self, fill_value=None, order='C'): + r""" + A compatibility alias for `tobytes`, with exactly the same behavior. + + Despite its name, it returns `bytes` not `str`\ s. + + .. deprecated:: 1.19.0 + """ + # 2020-03-30, Numpy 1.19.0 + warnings.warn( + "tostring() is deprecated. Use tobytes() instead.", + DeprecationWarning, stacklevel=2) + + return self.tobytes(fill_value, order=order) + + def tobytes(self, fill_value=None, order='C'): + """ + Return the array data as a string containing the raw bytes in the array. + + The array is filled with a fill value before the string conversion. + + .. versionadded:: 1.9.0 + + Parameters + ---------- + fill_value : scalar, optional + Value used to fill in the masked values. Default is None, in which + case `MaskedArray.fill_value` is used. + order : {'C','F','A'}, optional + Order of the data item in the copy. Default is 'C'. + + - 'C' -- C order (row major). + - 'F' -- Fortran order (column major). + - 'A' -- Any, current order of array. + - None -- Same as 'A'. + + See Also + -------- + numpy.ndarray.tobytes + tolist, tofile + + Notes + ----- + As for `ndarray.tobytes`, information about the shape, dtype, etc., + but also about `fill_value`, will be lost. + + Examples + -------- + >>> x = np.ma.array(np.array([[1, 2], [3, 4]]), mask=[[0, 1], [1, 0]]) + >>> x.tobytes() + b'\\x01\\x00\\x00\\x00\\x00\\x00\\x00\\x00?B\\x0f\\x00\\x00\\x00\\x00\\x00?B\\x0f\\x00\\x00\\x00\\x00\\x00\\x04\\x00\\x00\\x00\\x00\\x00\\x00\\x00' + + """ + return self.filled(fill_value).tobytes(order=order) + + def tofile(self, fid, sep="", format="%s"): + """ + Save a masked array to a file in binary format. + + .. warning:: + This function is not implemented yet. + + Raises + ------ + NotImplementedError + When `tofile` is called. + + """ + raise NotImplementedError("MaskedArray.tofile() not implemented yet.") + + def toflex(self): + """ + Transforms a masked array into a flexible-type array. + + The flexible type array that is returned will have two fields: + + * the ``_data`` field stores the ``_data`` part of the array. + * the ``_mask`` field stores the ``_mask`` part of the array. + + Parameters + ---------- + None + + Returns + ------- + record : ndarray + A new flexible-type `ndarray` with two fields: the first element + containing a value, the second element containing the corresponding + mask boolean. The returned record shape matches self.shape. + + Notes + ----- + A side-effect of transforming a masked array into a flexible `ndarray` is + that meta information (``fill_value``, ...) will be lost. + + Examples + -------- + >>> x = np.ma.array([[1,2,3],[4,5,6],[7,8,9]], mask=[0] + [1,0]*4) + >>> x + masked_array( + data=[[1, --, 3], + [--, 5, --], + [7, --, 9]], + mask=[[False, True, False], + [ True, False, True], + [False, True, False]], + fill_value=999999) + >>> x.toflex() + array([[(1, False), (2, True), (3, False)], + [(4, True), (5, False), (6, True)], + [(7, False), (8, True), (9, False)]], + dtype=[('_data', 'i2", (2,))]) + # x = A[0]; y = x["A"]; then y.mask["A"].size==2 + # and we can not say masked/unmasked. + # The result is no longer mvoid! + # See also issue #6724. + return masked_array( + data=self._data[indx], mask=m[indx], + fill_value=self._fill_value[indx], + hard_mask=self._hardmask) + if m is not nomask and m[indx]: + return masked + return self._data[indx] + + def __setitem__(self, indx, value): + self._data[indx] = value + if self._hardmask: + self._mask[indx] |= getattr(value, "_mask", False) + else: + self._mask[indx] = getattr(value, "_mask", False) + + def __str__(self): + m = self._mask + if m is nomask: + return str(self._data) + + rdtype = _replace_dtype_fields(self._data.dtype, "O") + data_arr = super()._data + res = data_arr.astype(rdtype) + _recursive_printoption(res, self._mask, masked_print_option) + return str(res) + + __repr__ = __str__ + + def __iter__(self): + "Defines an iterator for mvoid" + (_data, _mask) = (self._data, self._mask) + if _mask is nomask: + yield from _data + else: + for (d, m) in zip(_data, _mask): + if m: + yield masked + else: + yield d + + def __len__(self): + return self._data.__len__() + + def filled(self, fill_value=None): + """ + Return a copy with masked fields filled with a given value. + + Parameters + ---------- + fill_value : array_like, optional + The value to use for invalid entries. Can be scalar or + non-scalar. If latter is the case, the filled array should + be broadcastable over input array. Default is None, in + which case the `fill_value` attribute is used instead. + + Returns + ------- + filled_void + A `np.void` object + + See Also + -------- + MaskedArray.filled + + """ + return asarray(self).filled(fill_value)[()] + + def tolist(self): + """ + Transforms the mvoid object into a tuple. + + Masked fields are replaced by None. + + Returns + ------- + returned_tuple + Tuple of fields + """ + _mask = self._mask + if _mask is nomask: + return self._data.tolist() + result = [] + for (d, m) in zip(self._data, self._mask): + if m: + result.append(None) + else: + # .item() makes sure we return a standard Python object + result.append(d.item()) + return tuple(result) + + +############################################################################## +# Shortcuts # +############################################################################## + + +def isMaskedArray(x): + """ + Test whether input is an instance of MaskedArray. + + This function returns True if `x` is an instance of MaskedArray + and returns False otherwise. Any object is accepted as input. + + Parameters + ---------- + x : object + Object to test. + + Returns + ------- + result : bool + True if `x` is a MaskedArray. + + See Also + -------- + isMA : Alias to isMaskedArray. + isarray : Alias to isMaskedArray. + + Examples + -------- + >>> import numpy.ma as ma + >>> a = np.eye(3, 3) + >>> a + array([[ 1., 0., 0.], + [ 0., 1., 0.], + [ 0., 0., 1.]]) + >>> m = ma.masked_values(a, 0) + >>> m + masked_array( + data=[[1.0, --, --], + [--, 1.0, --], + [--, --, 1.0]], + mask=[[False, True, True], + [ True, False, True], + [ True, True, False]], + fill_value=0.0) + >>> ma.isMaskedArray(a) + False + >>> ma.isMaskedArray(m) + True + >>> ma.isMaskedArray([0, 1, 2]) + False + + """ + return isinstance(x, MaskedArray) + + +isarray = isMaskedArray +isMA = isMaskedArray # backward compatibility + + +class MaskedConstant(MaskedArray): + # the lone np.ma.masked instance + __singleton = None + + @classmethod + def __has_singleton(cls): + # second case ensures `cls.__singleton` is not just a view on the + # superclass singleton + return cls.__singleton is not None and type(cls.__singleton) is cls + + def __new__(cls): + if not cls.__has_singleton(): + # We define the masked singleton as a float for higher precedence. + # Note that it can be tricky sometimes w/ type comparison + data = np.array(0.) + mask = np.array(True) + + # prevent any modifications + data.flags.writeable = False + mask.flags.writeable = False + + # don't fall back on MaskedArray.__new__(MaskedConstant), since + # that might confuse it - this way, the construction is entirely + # within our control + cls.__singleton = MaskedArray(data, mask=mask).view(cls) + + return cls.__singleton + + def __array_finalize__(self, obj): + if not self.__has_singleton(): + # this handles the `.view` in __new__, which we want to copy across + # properties normally + return super().__array_finalize__(obj) + elif self is self.__singleton: + # not clear how this can happen, play it safe + pass + else: + # everywhere else, we want to downcast to MaskedArray, to prevent a + # duplicate maskedconstant. + self.__class__ = MaskedArray + MaskedArray.__array_finalize__(self, obj) + + def __array_prepare__(self, obj, context=None): + return self.view(MaskedArray).__array_prepare__(obj, context) + + def __array_wrap__(self, obj, context=None): + return self.view(MaskedArray).__array_wrap__(obj, context) + + def __str__(self): + return str(masked_print_option._display) + + def __repr__(self): + if self is MaskedConstant.__singleton: + return 'masked' + else: + # it's a subclass, or something is wrong, make it obvious + return object.__repr__(self) + + def __format__(self, format_spec): + # Replace ndarray.__format__ with the default, which supports no format characters. + # Supporting format characters is unwise here, because we do not know what type + # the user was expecting - better to not guess. + try: + return object.__format__(self, format_spec) + except TypeError: + # 2020-03-23, NumPy 1.19.0 + warnings.warn( + "Format strings passed to MaskedConstant are ignored, but in future may " + "error or produce different behavior", + FutureWarning, stacklevel=2 + ) + return object.__format__(self, "") + + def __reduce__(self): + """Override of MaskedArray's __reduce__. + """ + return (self.__class__, ()) + + # inplace operations have no effect. We have to override them to avoid + # trying to modify the readonly data and mask arrays + def __iop__(self, other): + return self + __iadd__ = \ + __isub__ = \ + __imul__ = \ + __ifloordiv__ = \ + __itruediv__ = \ + __ipow__ = \ + __iop__ + del __iop__ # don't leave this around + + def copy(self, *args, **kwargs): + """ Copy is a no-op on the maskedconstant, as it is a scalar """ + # maskedconstant is a scalar, so copy doesn't need to copy. There's + # precedent for this with `np.bool_` scalars. + return self + + def __copy__(self): + return self + + def __deepcopy__(self, memo): + return self + + def __setattr__(self, attr, value): + if not self.__has_singleton(): + # allow the singleton to be initialized + return super().__setattr__(attr, value) + elif self is self.__singleton: + raise AttributeError( + f"attributes of {self!r} are not writeable") + else: + # duplicate instance - we can end up here from __array_finalize__, + # where we set the __class__ attribute + return super().__setattr__(attr, value) + + +masked = masked_singleton = MaskedConstant() +masked_array = MaskedArray + + +def array(data, dtype=None, copy=False, order=None, + mask=nomask, fill_value=None, keep_mask=True, + hard_mask=False, shrink=True, subok=True, ndmin=0): + """ + Shortcut to MaskedArray. + + The options are in a different order for convenience and backwards + compatibility. + + """ + return MaskedArray(data, mask=mask, dtype=dtype, copy=copy, + subok=subok, keep_mask=keep_mask, + hard_mask=hard_mask, fill_value=fill_value, + ndmin=ndmin, shrink=shrink, order=order) +array.__doc__ = masked_array.__doc__ + + +def is_masked(x): + """ + Determine whether input has masked values. + + Accepts any object as input, but always returns False unless the + input is a MaskedArray containing masked values. + + Parameters + ---------- + x : array_like + Array to check for masked values. + + Returns + ------- + result : bool + True if `x` is a MaskedArray with masked values, False otherwise. + + Examples + -------- + >>> import numpy.ma as ma + >>> x = ma.masked_equal([0, 1, 0, 2, 3], 0) + >>> x + masked_array(data=[--, 1, --, 2, 3], + mask=[ True, False, True, False, False], + fill_value=0) + >>> ma.is_masked(x) + True + >>> x = ma.masked_equal([0, 1, 0, 2, 3], 42) + >>> x + masked_array(data=[0, 1, 0, 2, 3], + mask=False, + fill_value=42) + >>> ma.is_masked(x) + False + + Always returns False if `x` isn't a MaskedArray. + + >>> x = [False, True, False] + >>> ma.is_masked(x) + False + >>> x = 'a string' + >>> ma.is_masked(x) + False + + """ + m = getmask(x) + if m is nomask: + return False + elif m.any(): + return True + return False + + +############################################################################## +# Extrema functions # +############################################################################## + + +class _extrema_operation(_MaskedUFunc): + """ + Generic class for maximum/minimum functions. + + .. note:: + This is the base class for `_maximum_operation` and + `_minimum_operation`. + + """ + def __init__(self, ufunc, compare, fill_value): + super().__init__(ufunc) + self.compare = compare + self.fill_value_func = fill_value + + def __call__(self, a, b): + "Executes the call behavior." + + return where(self.compare(a, b), a, b) + + def reduce(self, target, axis=np._NoValue): + "Reduce target along the given axis." + target = narray(target, copy=False, subok=True) + m = getmask(target) + + if axis is np._NoValue and target.ndim > 1: + # 2017-05-06, Numpy 1.13.0: warn on axis default + warnings.warn( + f"In the future the default for ma.{self.__name__}.reduce will be axis=0, " + f"not the current None, to match np.{self.__name__}.reduce. " + "Explicitly pass 0 or None to silence this warning.", + MaskedArrayFutureWarning, stacklevel=2) + axis = None + + if axis is not np._NoValue: + kwargs = dict(axis=axis) + else: + kwargs = dict() + + if m is nomask: + t = self.f.reduce(target, **kwargs) + else: + target = target.filled( + self.fill_value_func(target)).view(type(target)) + t = self.f.reduce(target, **kwargs) + m = umath.logical_and.reduce(m, **kwargs) + if hasattr(t, '_mask'): + t._mask = m + elif m: + t = masked + return t + + def outer(self, a, b): + "Return the function applied to the outer product of a and b." + ma = getmask(a) + mb = getmask(b) + if ma is nomask and mb is nomask: + m = nomask + else: + ma = getmaskarray(a) + mb = getmaskarray(b) + m = logical_or.outer(ma, mb) + result = self.f.outer(filled(a), filled(b)) + if not isinstance(result, MaskedArray): + result = result.view(MaskedArray) + result._mask = m + return result + +def min(obj, axis=None, out=None, fill_value=None, keepdims=np._NoValue): + kwargs = {} if keepdims is np._NoValue else {'keepdims': keepdims} + + try: + return obj.min(axis=axis, fill_value=fill_value, out=out, **kwargs) + except (AttributeError, TypeError): + # If obj doesn't have a min method, or if the method doesn't accept a + # fill_value argument + return asanyarray(obj).min(axis=axis, fill_value=fill_value, + out=out, **kwargs) +min.__doc__ = MaskedArray.min.__doc__ + +def max(obj, axis=None, out=None, fill_value=None, keepdims=np._NoValue): + kwargs = {} if keepdims is np._NoValue else {'keepdims': keepdims} + + try: + return obj.max(axis=axis, fill_value=fill_value, out=out, **kwargs) + except (AttributeError, TypeError): + # If obj doesn't have a max method, or if the method doesn't accept a + # fill_value argument + return asanyarray(obj).max(axis=axis, fill_value=fill_value, + out=out, **kwargs) +max.__doc__ = MaskedArray.max.__doc__ + + +def ptp(obj, axis=None, out=None, fill_value=None, keepdims=np._NoValue): + kwargs = {} if keepdims is np._NoValue else {'keepdims': keepdims} + try: + return obj.ptp(axis, out=out, fill_value=fill_value, **kwargs) + except (AttributeError, TypeError): + # If obj doesn't have a ptp method or if the method doesn't accept + # a fill_value argument + return asanyarray(obj).ptp(axis=axis, fill_value=fill_value, + out=out, **kwargs) +ptp.__doc__ = MaskedArray.ptp.__doc__ + + +############################################################################## +# Definition of functions from the corresponding methods # +############################################################################## + + +class _frommethod: + """ + Define functions from existing MaskedArray methods. + + Parameters + ---------- + methodname : str + Name of the method to transform. + + """ + + def __init__(self, methodname, reversed=False): + self.__name__ = methodname + self.__doc__ = self.getdoc() + self.reversed = reversed + + def getdoc(self): + "Return the doc of the function (from the doc of the method)." + meth = getattr(MaskedArray, self.__name__, None) or\ + getattr(np, self.__name__, None) + signature = self.__name__ + get_object_signature(meth) + if meth is not None: + doc = """ %s\n%s""" % ( + signature, getattr(meth, '__doc__', None)) + return doc + + def __call__(self, a, *args, **params): + if self.reversed: + args = list(args) + a, args[0] = args[0], a + + marr = asanyarray(a) + method_name = self.__name__ + method = getattr(type(marr), method_name, None) + if method is None: + # use the corresponding np function + method = getattr(np, method_name) + + return method(marr, *args, **params) + + +all = _frommethod('all') +anomalies = anom = _frommethod('anom') +any = _frommethod('any') +compress = _frommethod('compress', reversed=True) +cumprod = _frommethod('cumprod') +cumsum = _frommethod('cumsum') +copy = _frommethod('copy') +diagonal = _frommethod('diagonal') +harden_mask = _frommethod('harden_mask') +ids = _frommethod('ids') +maximum = _extrema_operation(umath.maximum, greater, maximum_fill_value) +mean = _frommethod('mean') +minimum = _extrema_operation(umath.minimum, less, minimum_fill_value) +nonzero = _frommethod('nonzero') +prod = _frommethod('prod') +product = _frommethod('prod') +ravel = _frommethod('ravel') +repeat = _frommethod('repeat') +shrink_mask = _frommethod('shrink_mask') +soften_mask = _frommethod('soften_mask') +std = _frommethod('std') +sum = _frommethod('sum') +swapaxes = _frommethod('swapaxes') +#take = _frommethod('take') +trace = _frommethod('trace') +var = _frommethod('var') + +count = _frommethod('count') + +def take(a, indices, axis=None, out=None, mode='raise'): + """ + """ + a = masked_array(a) + return a.take(indices, axis=axis, out=out, mode=mode) + + +def power(a, b, third=None): + """ + Returns element-wise base array raised to power from second array. + + This is the masked array version of `numpy.power`. For details see + `numpy.power`. + + See Also + -------- + numpy.power + + Notes + ----- + The *out* argument to `numpy.power` is not supported, `third` has to be + None. + + Examples + -------- + >>> import numpy.ma as ma + >>> x = [11.2, -3.973, 0.801, -1.41] + >>> mask = [0, 0, 0, 1] + >>> masked_x = ma.masked_array(x, mask) + >>> masked_x + masked_array(data=[11.2, -3.973, 0.801, --], + mask=[False, False, False, True], + fill_value=1e+20) + >>> ma.power(masked_x, 2) + masked_array(data=[125.43999999999998, 15.784728999999999, + 0.6416010000000001, --], + mask=[False, False, False, True], + fill_value=1e+20) + >>> y = [-0.5, 2, 0, 17] + >>> masked_y = ma.masked_array(y, mask) + >>> masked_y + masked_array(data=[-0.5, 2.0, 0.0, --], + mask=[False, False, False, True], + fill_value=1e+20) + >>> ma.power(masked_x, masked_y) + masked_array(data=[0.29880715233359845, 15.784728999999999, 1.0, --], + mask=[False, False, False, True], + fill_value=1e+20) + + """ + if third is not None: + raise MaskError("3-argument power not supported.") + # Get the masks + ma = getmask(a) + mb = getmask(b) + m = mask_or(ma, mb) + # Get the rawdata + fa = getdata(a) + fb = getdata(b) + # Get the type of the result (so that we preserve subclasses) + if isinstance(a, MaskedArray): + basetype = type(a) + else: + basetype = MaskedArray + # Get the result and view it as a (subclass of) MaskedArray + with np.errstate(divide='ignore', invalid='ignore'): + result = np.where(m, fa, umath.power(fa, fb)).view(basetype) + result._update_from(a) + # Find where we're in trouble w/ NaNs and Infs + invalid = np.logical_not(np.isfinite(result.view(ndarray))) + # Add the initial mask + if m is not nomask: + if not result.ndim: + return masked + result._mask = np.logical_or(m, invalid) + # Fix the invalid parts + if invalid.any(): + if not result.ndim: + return masked + elif result._mask is nomask: + result._mask = invalid + result._data[invalid] = result.fill_value + return result + +argmin = _frommethod('argmin') +argmax = _frommethod('argmax') + +def argsort(a, axis=np._NoValue, kind=None, order=None, endwith=True, fill_value=None): + "Function version of the eponymous method." + a = np.asanyarray(a) + + # 2017-04-11, Numpy 1.13.0, gh-8701: warn on axis default + if axis is np._NoValue: + axis = _deprecate_argsort_axis(a) + + if isinstance(a, MaskedArray): + return a.argsort(axis=axis, kind=kind, order=order, + endwith=endwith, fill_value=fill_value) + else: + return a.argsort(axis=axis, kind=kind, order=order) +argsort.__doc__ = MaskedArray.argsort.__doc__ + +def sort(a, axis=-1, kind=None, order=None, endwith=True, fill_value=None): + """ + Return a sorted copy of the masked array. + + Equivalent to creating a copy of the array + and applying the MaskedArray ``sort()`` method. + + Refer to ``MaskedArray.sort`` for the full documentation + + See Also + -------- + MaskedArray.sort : equivalent method + + Examples + -------- + >>> import numpy.ma as ma + >>> x = [11.2, -3.973, 0.801, -1.41] + >>> mask = [0, 0, 0, 1] + >>> masked_x = ma.masked_array(x, mask) + >>> masked_x + masked_array(data=[11.2, -3.973, 0.801, --], + mask=[False, False, False, True], + fill_value=1e+20) + >>> ma.sort(masked_x) + masked_array(data=[-3.973, 0.801, 11.2, --], + mask=[False, False, False, True], + fill_value=1e+20) + """ + a = np.array(a, copy=True, subok=True) + if axis is None: + a = a.flatten() + axis = 0 + + if isinstance(a, MaskedArray): + a.sort(axis=axis, kind=kind, order=order, + endwith=endwith, fill_value=fill_value) + else: + a.sort(axis=axis, kind=kind, order=order) + return a + + +def compressed(x): + """ + Return all the non-masked data as a 1-D array. + + This function is equivalent to calling the "compressed" method of a + `ma.MaskedArray`, see `ma.MaskedArray.compressed` for details. + + See Also + -------- + ma.MaskedArray.compressed : Equivalent method. + + Examples + -------- + + Create an array with negative values masked: + + >>> import numpy as np + >>> x = np.array([[1, -1, 0], [2, -1, 3], [7, 4, -1]]) + >>> masked_x = np.ma.masked_array(x, mask=x < 0) + >>> masked_x + masked_array( + data=[[1, --, 0], + [2, --, 3], + [7, 4, --]], + mask=[[False, True, False], + [False, True, False], + [False, False, True]], + fill_value=999999) + + Compress the masked array into a 1-D array of non-masked values: + + >>> np.ma.compressed(masked_x) + array([1, 0, 2, 3, 7, 4]) + + """ + return asanyarray(x).compressed() + + +def concatenate(arrays, axis=0): + """ + Concatenate a sequence of arrays along the given axis. + + Parameters + ---------- + arrays : sequence of array_like + The arrays must have the same shape, except in the dimension + corresponding to `axis` (the first, by default). + axis : int, optional + The axis along which the arrays will be joined. Default is 0. + + Returns + ------- + result : MaskedArray + The concatenated array with any masked entries preserved. + + See Also + -------- + numpy.concatenate : Equivalent function in the top-level NumPy module. + + Examples + -------- + >>> import numpy.ma as ma + >>> a = ma.arange(3) + >>> a[1] = ma.masked + >>> b = ma.arange(2, 5) + >>> a + masked_array(data=[0, --, 2], + mask=[False, True, False], + fill_value=999999) + >>> b + masked_array(data=[2, 3, 4], + mask=False, + fill_value=999999) + >>> ma.concatenate([a, b]) + masked_array(data=[0, --, 2, 2, 3, 4], + mask=[False, True, False, False, False, False], + fill_value=999999) + + """ + d = np.concatenate([getdata(a) for a in arrays], axis) + rcls = get_masked_subclass(*arrays) + data = d.view(rcls) + # Check whether one of the arrays has a non-empty mask. + for x in arrays: + if getmask(x) is not nomask: + break + else: + return data + # OK, so we have to concatenate the masks + dm = np.concatenate([getmaskarray(a) for a in arrays], axis) + dm = dm.reshape(d.shape) + + # If we decide to keep a '_shrinkmask' option, we want to check that + # all of them are True, and then check for dm.any() + data._mask = _shrink_mask(dm) + return data + + +def diag(v, k=0): + """ + Extract a diagonal or construct a diagonal array. + + This function is the equivalent of `numpy.diag` that takes masked + values into account, see `numpy.diag` for details. + + See Also + -------- + numpy.diag : Equivalent function for ndarrays. + + Examples + -------- + + Create an array with negative values masked: + + >>> import numpy as np + >>> x = np.array([[11.2, -3.973, 18], [0.801, -1.41, 12], [7, 33, -12]]) + >>> masked_x = np.ma.masked_array(x, mask=x < 0) + >>> masked_x + masked_array( + data=[[11.2, --, 18.0], + [0.801, --, 12.0], + [7.0, 33.0, --]], + mask=[[False, True, False], + [False, True, False], + [False, False, True]], + fill_value=1e+20) + + Isolate the main diagonal from the masked array: + + >>> np.ma.diag(masked_x) + masked_array(data=[11.2, --, --], + mask=[False, True, True], + fill_value=1e+20) + + Isolate the first diagonal below the main diagonal: + + >>> np.ma.diag(masked_x, -1) + masked_array(data=[0.801, 33.0], + mask=[False, False], + fill_value=1e+20) + + """ + output = np.diag(v, k).view(MaskedArray) + if getmask(v) is not nomask: + output._mask = np.diag(v._mask, k) + return output + + +def left_shift(a, n): + """ + Shift the bits of an integer to the left. + + This is the masked array version of `numpy.left_shift`, for details + see that function. + + See Also + -------- + numpy.left_shift + + """ + m = getmask(a) + if m is nomask: + d = umath.left_shift(filled(a), n) + return masked_array(d) + else: + d = umath.left_shift(filled(a, 0), n) + return masked_array(d, mask=m) + + +def right_shift(a, n): + """ + Shift the bits of an integer to the right. + + This is the masked array version of `numpy.right_shift`, for details + see that function. + + See Also + -------- + numpy.right_shift + + Examples + -------- + >>> import numpy.ma as ma + >>> x = [11, 3, 8, 1] + >>> mask = [0, 0, 0, 1] + >>> masked_x = ma.masked_array(x, mask) + >>> masked_x + masked_array(data=[11, 3, 8, --], + mask=[False, False, False, True], + fill_value=999999) + >>> ma.right_shift(masked_x,1) + masked_array(data=[5, 1, 4, --], + mask=[False, False, False, True], + fill_value=999999) + + """ + m = getmask(a) + if m is nomask: + d = umath.right_shift(filled(a), n) + return masked_array(d) + else: + d = umath.right_shift(filled(a, 0), n) + return masked_array(d, mask=m) + + +def put(a, indices, values, mode='raise'): + """ + Set storage-indexed locations to corresponding values. + + This function is equivalent to `MaskedArray.put`, see that method + for details. + + See Also + -------- + MaskedArray.put + + """ + # We can't use 'frommethod', the order of arguments is different + try: + return a.put(indices, values, mode=mode) + except AttributeError: + return narray(a, copy=False).put(indices, values, mode=mode) + + +def putmask(a, mask, values): # , mode='raise'): + """ + Changes elements of an array based on conditional and input values. + + This is the masked array version of `numpy.putmask`, for details see + `numpy.putmask`. + + See Also + -------- + numpy.putmask + + Notes + ----- + Using a masked array as `values` will **not** transform a `ndarray` into + a `MaskedArray`. + + """ + # We can't use 'frommethod', the order of arguments is different + if not isinstance(a, MaskedArray): + a = a.view(MaskedArray) + (valdata, valmask) = (getdata(values), getmask(values)) + if getmask(a) is nomask: + if valmask is not nomask: + a._sharedmask = True + a._mask = make_mask_none(a.shape, a.dtype) + np.copyto(a._mask, valmask, where=mask) + elif a._hardmask: + if valmask is not nomask: + m = a._mask.copy() + np.copyto(m, valmask, where=mask) + a.mask |= m + else: + if valmask is nomask: + valmask = getmaskarray(values) + np.copyto(a._mask, valmask, where=mask) + np.copyto(a._data, valdata, where=mask) + return + + +def transpose(a, axes=None): + """ + Permute the dimensions of an array. + + This function is exactly equivalent to `numpy.transpose`. + + See Also + -------- + numpy.transpose : Equivalent function in top-level NumPy module. + + Examples + -------- + >>> import numpy.ma as ma + >>> x = ma.arange(4).reshape((2,2)) + >>> x[1, 1] = ma.masked + >>> x + masked_array( + data=[[0, 1], + [2, --]], + mask=[[False, False], + [False, True]], + fill_value=999999) + + >>> ma.transpose(x) + masked_array( + data=[[0, 2], + [1, --]], + mask=[[False, False], + [False, True]], + fill_value=999999) + """ + # We can't use 'frommethod', as 'transpose' doesn't take keywords + try: + return a.transpose(axes) + except AttributeError: + return narray(a, copy=False).transpose(axes).view(MaskedArray) + + +def reshape(a, new_shape, order='C'): + """ + Returns an array containing the same data with a new shape. + + Refer to `MaskedArray.reshape` for full documentation. + + See Also + -------- + MaskedArray.reshape : equivalent function + + """ + # We can't use 'frommethod', it whine about some parameters. Dmmit. + try: + return a.reshape(new_shape, order=order) + except AttributeError: + _tmp = narray(a, copy=False).reshape(new_shape, order=order) + return _tmp.view(MaskedArray) + + +def resize(x, new_shape): + """ + Return a new masked array with the specified size and shape. + + This is the masked equivalent of the `numpy.resize` function. The new + array is filled with repeated copies of `x` (in the order that the + data are stored in memory). If `x` is masked, the new array will be + masked, and the new mask will be a repetition of the old one. + + See Also + -------- + numpy.resize : Equivalent function in the top level NumPy module. + + Examples + -------- + >>> import numpy.ma as ma + >>> a = ma.array([[1, 2] ,[3, 4]]) + >>> a[0, 1] = ma.masked + >>> a + masked_array( + data=[[1, --], + [3, 4]], + mask=[[False, True], + [False, False]], + fill_value=999999) + >>> np.resize(a, (3, 3)) + masked_array( + data=[[1, 2, 3], + [4, 1, 2], + [3, 4, 1]], + mask=False, + fill_value=999999) + >>> ma.resize(a, (3, 3)) + masked_array( + data=[[1, --, 3], + [4, 1, --], + [3, 4, 1]], + mask=[[False, True, False], + [False, False, True], + [False, False, False]], + fill_value=999999) + + A MaskedArray is always returned, regardless of the input type. + + >>> a = np.array([[1, 2] ,[3, 4]]) + >>> ma.resize(a, (3, 3)) + masked_array( + data=[[1, 2, 3], + [4, 1, 2], + [3, 4, 1]], + mask=False, + fill_value=999999) + + """ + # We can't use _frommethods here, as N.resize is notoriously whiny. + m = getmask(x) + if m is not nomask: + m = np.resize(m, new_shape) + result = np.resize(x, new_shape).view(get_masked_subclass(x)) + if result.ndim: + result._mask = m + return result + + +def ndim(obj): + """ + maskedarray version of the numpy function. + + """ + return np.ndim(getdata(obj)) + +ndim.__doc__ = np.ndim.__doc__ + + +def shape(obj): + "maskedarray version of the numpy function." + return np.shape(getdata(obj)) +shape.__doc__ = np.shape.__doc__ + + +def size(obj, axis=None): + "maskedarray version of the numpy function." + return np.size(getdata(obj), axis) +size.__doc__ = np.size.__doc__ + + +def diff(a, /, n=1, axis=-1, prepend=np._NoValue, append=np._NoValue): + """ + Calculate the n-th discrete difference along the given axis. + The first difference is given by ``out[i] = a[i+1] - a[i]`` along + the given axis, higher differences are calculated by using `diff` + recursively. + Preserves the input mask. + + Parameters + ---------- + a : array_like + Input array + n : int, optional + The number of times values are differenced. If zero, the input + is returned as-is. + axis : int, optional + The axis along which the difference is taken, default is the + last axis. + prepend, append : array_like, optional + Values to prepend or append to `a` along axis prior to + performing the difference. Scalar values are expanded to + arrays with length 1 in the direction of axis and the shape + of the input array in along all other axes. Otherwise the + dimension and shape must match `a` except along axis. + + Returns + ------- + diff : MaskedArray + The n-th differences. The shape of the output is the same as `a` + except along `axis` where the dimension is smaller by `n`. The + type of the output is the same as the type of the difference + between any two elements of `a`. This is the same as the type of + `a` in most cases. A notable exception is `datetime64`, which + results in a `timedelta64` output array. + + See Also + -------- + numpy.diff : Equivalent function in the top-level NumPy module. + + Notes + ----- + Type is preserved for boolean arrays, so the result will contain + `False` when consecutive elements are the same and `True` when they + differ. + + For unsigned integer arrays, the results will also be unsigned. This + should not be surprising, as the result is consistent with + calculating the difference directly: + + >>> u8_arr = np.array([1, 0], dtype=np.uint8) + >>> np.ma.diff(u8_arr) + masked_array(data=[255], + mask=False, + fill_value=999999, + dtype=uint8) + >>> u8_arr[1,...] - u8_arr[0,...] + 255 + + If this is not desirable, then the array should be cast to a larger + integer type first: + + >>> i16_arr = u8_arr.astype(np.int16) + >>> np.ma.diff(i16_arr) + masked_array(data=[-1], + mask=False, + fill_value=999999, + dtype=int16) + + Examples + -------- + >>> a = np.array([1, 2, 3, 4, 7, 0, 2, 3]) + >>> x = np.ma.masked_where(a < 2, a) + >>> np.ma.diff(x) + masked_array(data=[--, 1, 1, 3, --, --, 1], + mask=[ True, False, False, False, True, True, False], + fill_value=999999) + + >>> np.ma.diff(x, n=2) + masked_array(data=[--, 0, 2, --, --, --], + mask=[ True, False, False, True, True, True], + fill_value=999999) + + >>> a = np.array([[1, 3, 1, 5, 10], [0, 1, 5, 6, 8]]) + >>> x = np.ma.masked_equal(a, value=1) + >>> np.ma.diff(x) + masked_array( + data=[[--, --, --, 5], + [--, --, 1, 2]], + mask=[[ True, True, True, False], + [ True, True, False, False]], + fill_value=1) + + >>> np.ma.diff(x, axis=0) + masked_array(data=[[--, --, --, 1, -2]], + mask=[[ True, True, True, False, False]], + fill_value=1) + + """ + if n == 0: + return a + if n < 0: + raise ValueError("order must be non-negative but got " + repr(n)) + + a = np.ma.asanyarray(a) + if a.ndim == 0: + raise ValueError( + "diff requires input that is at least one dimensional" + ) + + combined = [] + if prepend is not np._NoValue: + prepend = np.ma.asanyarray(prepend) + if prepend.ndim == 0: + shape = list(a.shape) + shape[axis] = 1 + prepend = np.broadcast_to(prepend, tuple(shape)) + combined.append(prepend) + + combined.append(a) + + if append is not np._NoValue: + append = np.ma.asanyarray(append) + if append.ndim == 0: + shape = list(a.shape) + shape[axis] = 1 + append = np.broadcast_to(append, tuple(shape)) + combined.append(append) + + if len(combined) > 1: + a = np.ma.concatenate(combined, axis) + + # GH 22465 np.diff without prepend/append preserves the mask + return np.diff(a, n, axis) + + +############################################################################## +# Extra functions # +############################################################################## + + +def where(condition, x=_NoValue, y=_NoValue): + """ + Return a masked array with elements from `x` or `y`, depending on condition. + + .. note:: + When only `condition` is provided, this function is identical to + `nonzero`. The rest of this documentation covers only the case where + all three arguments are provided. + + Parameters + ---------- + condition : array_like, bool + Where True, yield `x`, otherwise yield `y`. + x, y : array_like, optional + Values from which to choose. `x`, `y` and `condition` need to be + broadcastable to some shape. + + Returns + ------- + out : MaskedArray + An masked array with `masked` elements where the condition is masked, + elements from `x` where `condition` is True, and elements from `y` + elsewhere. + + See Also + -------- + numpy.where : Equivalent function in the top-level NumPy module. + nonzero : The function that is called when x and y are omitted + + Examples + -------- + >>> x = np.ma.array(np.arange(9.).reshape(3, 3), mask=[[0, 1, 0], + ... [1, 0, 1], + ... [0, 1, 0]]) + >>> x + masked_array( + data=[[0.0, --, 2.0], + [--, 4.0, --], + [6.0, --, 8.0]], + mask=[[False, True, False], + [ True, False, True], + [False, True, False]], + fill_value=1e+20) + >>> np.ma.where(x > 5, x, -3.1416) + masked_array( + data=[[-3.1416, --, -3.1416], + [--, -3.1416, --], + [6.0, --, 8.0]], + mask=[[False, True, False], + [ True, False, True], + [False, True, False]], + fill_value=1e+20) + + """ + + # handle the single-argument case + missing = (x is _NoValue, y is _NoValue).count(True) + if missing == 1: + raise ValueError("Must provide both 'x' and 'y' or neither.") + if missing == 2: + return nonzero(condition) + + # we only care if the condition is true - false or masked pick y + cf = filled(condition, False) + xd = getdata(x) + yd = getdata(y) + + # we need the full arrays here for correct final dimensions + cm = getmaskarray(condition) + xm = getmaskarray(x) + ym = getmaskarray(y) + + # deal with the fact that masked.dtype == float64, but we don't actually + # want to treat it as that. + if x is masked and y is not masked: + xd = np.zeros((), dtype=yd.dtype) + xm = np.ones((), dtype=ym.dtype) + elif y is masked and x is not masked: + yd = np.zeros((), dtype=xd.dtype) + ym = np.ones((), dtype=xm.dtype) + + data = np.where(cf, xd, yd) + mask = np.where(cf, xm, ym) + mask = np.where(cm, np.ones((), dtype=mask.dtype), mask) + + # collapse the mask, for backwards compatibility + mask = _shrink_mask(mask) + + return masked_array(data, mask=mask) + + +def choose(indices, choices, out=None, mode='raise'): + """ + Use an index array to construct a new array from a list of choices. + + Given an array of integers and a list of n choice arrays, this method + will create a new array that merges each of the choice arrays. Where a + value in `index` is i, the new array will have the value that choices[i] + contains in the same place. + + Parameters + ---------- + indices : ndarray of ints + This array must contain integers in ``[0, n-1]``, where n is the + number of choices. + choices : sequence of arrays + Choice arrays. The index array and all of the choices should be + broadcastable to the same shape. + out : array, optional + If provided, the result will be inserted into this array. It should + be of the appropriate shape and `dtype`. + mode : {'raise', 'wrap', 'clip'}, optional + Specifies how out-of-bounds indices will behave. + + * 'raise' : raise an error + * 'wrap' : wrap around + * 'clip' : clip to the range + + Returns + ------- + merged_array : array + + See Also + -------- + choose : equivalent function + + Examples + -------- + >>> choice = np.array([[1,1,1], [2,2,2], [3,3,3]]) + >>> a = np.array([2, 1, 0]) + >>> np.ma.choose(a, choice) + masked_array(data=[3, 2, 1], + mask=False, + fill_value=999999) + + """ + def fmask(x): + "Returns the filled array, or True if masked." + if x is masked: + return True + return filled(x) + + def nmask(x): + "Returns the mask, True if ``masked``, False if ``nomask``." + if x is masked: + return True + return getmask(x) + # Get the indices. + c = filled(indices, 0) + # Get the masks. + masks = [nmask(x) for x in choices] + data = [fmask(x) for x in choices] + # Construct the mask + outputmask = np.choose(c, masks, mode=mode) + outputmask = make_mask(mask_or(outputmask, getmask(indices)), + copy=False, shrink=True) + # Get the choices. + d = np.choose(c, data, mode=mode, out=out).view(MaskedArray) + if out is not None: + if isinstance(out, MaskedArray): + out.__setmask__(outputmask) + return out + d.__setmask__(outputmask) + return d + + +def round_(a, decimals=0, out=None): + """ + Return a copy of a, rounded to 'decimals' places. + + When 'decimals' is negative, it specifies the number of positions + to the left of the decimal point. The real and imaginary parts of + complex numbers are rounded separately. Nothing is done if the + array is not of float type and 'decimals' is greater than or equal + to 0. + + Parameters + ---------- + decimals : int + Number of decimals to round to. May be negative. + out : array_like + Existing array to use for output. + If not given, returns a default copy of a. + + Notes + ----- + If out is given and does not have a mask attribute, the mask of a + is lost! + + Examples + -------- + >>> import numpy.ma as ma + >>> x = [11.2, -3.973, 0.801, -1.41] + >>> mask = [0, 0, 0, 1] + >>> masked_x = ma.masked_array(x, mask) + >>> masked_x + masked_array(data=[11.2, -3.973, 0.801, --], + mask=[False, False, False, True], + fill_value=1e+20) + >>> ma.round_(masked_x) + masked_array(data=[11.0, -4.0, 1.0, --], + mask=[False, False, False, True], + fill_value=1e+20) + >>> ma.round(masked_x, decimals=1) + masked_array(data=[11.2, -4.0, 0.8, --], + mask=[False, False, False, True], + fill_value=1e+20) + >>> ma.round_(masked_x, decimals=-1) + masked_array(data=[10.0, -0.0, 0.0, --], + mask=[False, False, False, True], + fill_value=1e+20) + """ + if out is None: + return np.round_(a, decimals, out) + else: + np.round_(getdata(a), decimals, out) + if hasattr(out, '_mask'): + out._mask = getmask(a) + return out +round = round_ + + +def _mask_propagate(a, axis): + """ + Mask whole 1-d vectors of an array that contain masked values. + """ + a = array(a, subok=False) + m = getmask(a) + if m is nomask or not m.any() or axis is None: + return a + a._mask = a._mask.copy() + axes = normalize_axis_tuple(axis, a.ndim) + for ax in axes: + a._mask |= m.any(axis=ax, keepdims=True) + return a + + +# Include masked dot here to avoid import problems in getting it from +# extras.py. Note that it is not included in __all__, but rather exported +# from extras in order to avoid backward compatibility problems. +def dot(a, b, strict=False, out=None): + """ + Return the dot product of two arrays. + + This function is the equivalent of `numpy.dot` that takes masked values + into account. Note that `strict` and `out` are in different position + than in the method version. In order to maintain compatibility with the + corresponding method, it is recommended that the optional arguments be + treated as keyword only. At some point that may be mandatory. + + Parameters + ---------- + a, b : masked_array_like + Inputs arrays. + strict : bool, optional + Whether masked data are propagated (True) or set to 0 (False) for + the computation. Default is False. Propagating the mask means that + if a masked value appears in a row or column, the whole row or + column is considered masked. + out : masked_array, optional + Output argument. This must have the exact kind that would be returned + if it was not used. In particular, it must have the right type, must be + C-contiguous, and its dtype must be the dtype that would be returned + for `dot(a,b)`. This is a performance feature. Therefore, if these + conditions are not met, an exception is raised, instead of attempting + to be flexible. + + .. versionadded:: 1.10.2 + + See Also + -------- + numpy.dot : Equivalent function for ndarrays. + + Examples + -------- + >>> a = np.ma.array([[1, 2, 3], [4, 5, 6]], mask=[[1, 0, 0], [0, 0, 0]]) + >>> b = np.ma.array([[1, 2], [3, 4], [5, 6]], mask=[[1, 0], [0, 0], [0, 0]]) + >>> np.ma.dot(a, b) + masked_array( + data=[[21, 26], + [45, 64]], + mask=[[False, False], + [False, False]], + fill_value=999999) + >>> np.ma.dot(a, b, strict=True) + masked_array( + data=[[--, --], + [--, 64]], + mask=[[ True, True], + [ True, False]], + fill_value=999999) + + """ + if strict is True: + if np.ndim(a) == 0 or np.ndim(b) == 0: + pass + elif b.ndim == 1: + a = _mask_propagate(a, a.ndim - 1) + b = _mask_propagate(b, b.ndim - 1) + else: + a = _mask_propagate(a, a.ndim - 1) + b = _mask_propagate(b, b.ndim - 2) + am = ~getmaskarray(a) + bm = ~getmaskarray(b) + + if out is None: + d = np.dot(filled(a, 0), filled(b, 0)) + m = ~np.dot(am, bm) + if np.ndim(d) == 0: + d = np.asarray(d) + r = d.view(get_masked_subclass(a, b)) + r.__setmask__(m) + return r + else: + d = np.dot(filled(a, 0), filled(b, 0), out._data) + if out.mask.shape != d.shape: + out._mask = np.empty(d.shape, MaskType) + np.dot(am, bm, out._mask) + np.logical_not(out._mask, out._mask) + return out + + +def inner(a, b): + """ + Returns the inner product of a and b for arrays of floating point types. + + Like the generic NumPy equivalent the product sum is over the last dimension + of a and b. The first argument is not conjugated. + + """ + fa = filled(a, 0) + fb = filled(b, 0) + if fa.ndim == 0: + fa.shape = (1,) + if fb.ndim == 0: + fb.shape = (1,) + return np.inner(fa, fb).view(MaskedArray) +inner.__doc__ = doc_note(np.inner.__doc__, + "Masked values are replaced by 0.") +innerproduct = inner + + +def outer(a, b): + "maskedarray version of the numpy function." + fa = filled(a, 0).ravel() + fb = filled(b, 0).ravel() + d = np.outer(fa, fb) + ma = getmask(a) + mb = getmask(b) + if ma is nomask and mb is nomask: + return masked_array(d) + ma = getmaskarray(a) + mb = getmaskarray(b) + m = make_mask(1 - np.outer(1 - ma, 1 - mb), copy=False) + return masked_array(d, mask=m) +outer.__doc__ = doc_note(np.outer.__doc__, + "Masked values are replaced by 0.") +outerproduct = outer + + +def _convolve_or_correlate(f, a, v, mode, propagate_mask): + """ + Helper function for ma.correlate and ma.convolve + """ + if propagate_mask: + # results which are contributed to by either item in any pair being invalid + mask = ( + f(getmaskarray(a), np.ones(np.shape(v), dtype=bool), mode=mode) + | f(np.ones(np.shape(a), dtype=bool), getmaskarray(v), mode=mode) + ) + data = f(getdata(a), getdata(v), mode=mode) + else: + # results which are not contributed to by any pair of valid elements + mask = ~f(~getmaskarray(a), ~getmaskarray(v)) + data = f(filled(a, 0), filled(v, 0), mode=mode) + + return masked_array(data, mask=mask) + + +def correlate(a, v, mode='valid', propagate_mask=True): + """ + Cross-correlation of two 1-dimensional sequences. + + Parameters + ---------- + a, v : array_like + Input sequences. + mode : {'valid', 'same', 'full'}, optional + Refer to the `np.convolve` docstring. Note that the default + is 'valid', unlike `convolve`, which uses 'full'. + propagate_mask : bool + If True, then a result element is masked if any masked element contributes towards it. + If False, then a result element is only masked if no non-masked element + contribute towards it + + Returns + ------- + out : MaskedArray + Discrete cross-correlation of `a` and `v`. + + See Also + -------- + numpy.correlate : Equivalent function in the top-level NumPy module. + """ + return _convolve_or_correlate(np.correlate, a, v, mode, propagate_mask) + + +def convolve(a, v, mode='full', propagate_mask=True): + """ + Returns the discrete, linear convolution of two one-dimensional sequences. + + Parameters + ---------- + a, v : array_like + Input sequences. + mode : {'valid', 'same', 'full'}, optional + Refer to the `np.convolve` docstring. + propagate_mask : bool + If True, then if any masked element is included in the sum for a result + element, then the result is masked. + If False, then the result element is only masked if no non-masked cells + contribute towards it + + Returns + ------- + out : MaskedArray + Discrete, linear convolution of `a` and `v`. + + See Also + -------- + numpy.convolve : Equivalent function in the top-level NumPy module. + """ + return _convolve_or_correlate(np.convolve, a, v, mode, propagate_mask) + + +def allequal(a, b, fill_value=True): + """ + Return True if all entries of a and b are equal, using + fill_value as a truth value where either or both are masked. + + Parameters + ---------- + a, b : array_like + Input arrays to compare. + fill_value : bool, optional + Whether masked values in a or b are considered equal (True) or not + (False). + + Returns + ------- + y : bool + Returns True if the two arrays are equal within the given + tolerance, False otherwise. If either array contains NaN, + then False is returned. + + See Also + -------- + all, any + numpy.ma.allclose + + Examples + -------- + >>> a = np.ma.array([1e10, 1e-7, 42.0], mask=[0, 0, 1]) + >>> a + masked_array(data=[10000000000.0, 1e-07, --], + mask=[False, False, True], + fill_value=1e+20) + + >>> b = np.array([1e10, 1e-7, -42.0]) + >>> b + array([ 1.00000000e+10, 1.00000000e-07, -4.20000000e+01]) + >>> np.ma.allequal(a, b, fill_value=False) + False + >>> np.ma.allequal(a, b) + True + + """ + m = mask_or(getmask(a), getmask(b)) + if m is nomask: + x = getdata(a) + y = getdata(b) + d = umath.equal(x, y) + return d.all() + elif fill_value: + x = getdata(a) + y = getdata(b) + d = umath.equal(x, y) + dm = array(d, mask=m, copy=False) + return dm.filled(True).all(None) + else: + return False + + +def allclose(a, b, masked_equal=True, rtol=1e-5, atol=1e-8): + """ + Returns True if two arrays are element-wise equal within a tolerance. + + This function is equivalent to `allclose` except that masked values + are treated as equal (default) or unequal, depending on the `masked_equal` + argument. + + Parameters + ---------- + a, b : array_like + Input arrays to compare. + masked_equal : bool, optional + Whether masked values in `a` and `b` are considered equal (True) or not + (False). They are considered equal by default. + rtol : float, optional + Relative tolerance. The relative difference is equal to ``rtol * b``. + Default is 1e-5. + atol : float, optional + Absolute tolerance. The absolute difference is equal to `atol`. + Default is 1e-8. + + Returns + ------- + y : bool + Returns True if the two arrays are equal within the given + tolerance, False otherwise. If either array contains NaN, then + False is returned. + + See Also + -------- + all, any + numpy.allclose : the non-masked `allclose`. + + Notes + ----- + If the following equation is element-wise True, then `allclose` returns + True:: + + absolute(`a` - `b`) <= (`atol` + `rtol` * absolute(`b`)) + + Return True if all elements of `a` and `b` are equal subject to + given tolerances. + + Examples + -------- + >>> a = np.ma.array([1e10, 1e-7, 42.0], mask=[0, 0, 1]) + >>> a + masked_array(data=[10000000000.0, 1e-07, --], + mask=[False, False, True], + fill_value=1e+20) + >>> b = np.ma.array([1e10, 1e-8, -42.0], mask=[0, 0, 1]) + >>> np.ma.allclose(a, b) + False + + >>> a = np.ma.array([1e10, 1e-8, 42.0], mask=[0, 0, 1]) + >>> b = np.ma.array([1.00001e10, 1e-9, -42.0], mask=[0, 0, 1]) + >>> np.ma.allclose(a, b) + True + >>> np.ma.allclose(a, b, masked_equal=False) + False + + Masked values are not compared directly. + + >>> a = np.ma.array([1e10, 1e-8, 42.0], mask=[0, 0, 1]) + >>> b = np.ma.array([1.00001e10, 1e-9, 42.0], mask=[0, 0, 1]) + >>> np.ma.allclose(a, b) + True + >>> np.ma.allclose(a, b, masked_equal=False) + False + + """ + x = masked_array(a, copy=False) + y = masked_array(b, copy=False) + + # make sure y is an inexact type to avoid abs(MIN_INT); will cause + # casting of x later. + # NOTE: We explicitly allow timedelta, which used to work. This could + # possibly be deprecated. See also gh-18286. + # timedelta works if `atol` is an integer or also a timedelta. + # Although, the default tolerances are unlikely to be useful + if y.dtype.kind != "m": + dtype = np.result_type(y, 1.) + if y.dtype != dtype: + y = masked_array(y, dtype=dtype, copy=False) + + m = mask_or(getmask(x), getmask(y)) + xinf = np.isinf(masked_array(x, copy=False, mask=m)).filled(False) + # If we have some infs, they should fall at the same place. + if not np.all(xinf == filled(np.isinf(y), False)): + return False + # No infs at all + if not np.any(xinf): + d = filled(less_equal(absolute(x - y), atol + rtol * absolute(y)), + masked_equal) + return np.all(d) + + if not np.all(filled(x[xinf] == y[xinf], masked_equal)): + return False + x = x[~xinf] + y = y[~xinf] + + d = filled(less_equal(absolute(x - y), atol + rtol * absolute(y)), + masked_equal) + + return np.all(d) + + +def asarray(a, dtype=None, order=None): + """ + Convert the input to a masked array of the given data-type. + + No copy is performed if the input is already an `ndarray`. If `a` is + a subclass of `MaskedArray`, a base class `MaskedArray` is returned. + + Parameters + ---------- + a : array_like + Input data, in any form that can be converted to a masked array. This + includes lists, lists of tuples, tuples, tuples of tuples, tuples + of lists, ndarrays and masked arrays. + dtype : dtype, optional + By default, the data-type is inferred from the input data. + order : {'C', 'F'}, optional + Whether to use row-major ('C') or column-major ('FORTRAN') memory + representation. Default is 'C'. + + Returns + ------- + out : MaskedArray + Masked array interpretation of `a`. + + See Also + -------- + asanyarray : Similar to `asarray`, but conserves subclasses. + + Examples + -------- + >>> x = np.arange(10.).reshape(2, 5) + >>> x + array([[0., 1., 2., 3., 4.], + [5., 6., 7., 8., 9.]]) + >>> np.ma.asarray(x) + masked_array( + data=[[0., 1., 2., 3., 4.], + [5., 6., 7., 8., 9.]], + mask=False, + fill_value=1e+20) + >>> type(np.ma.asarray(x)) + + + """ + order = order or 'C' + return masked_array(a, dtype=dtype, copy=False, keep_mask=True, + subok=False, order=order) + + +def asanyarray(a, dtype=None): + """ + Convert the input to a masked array, conserving subclasses. + + If `a` is a subclass of `MaskedArray`, its class is conserved. + No copy is performed if the input is already an `ndarray`. + + Parameters + ---------- + a : array_like + Input data, in any form that can be converted to an array. + dtype : dtype, optional + By default, the data-type is inferred from the input data. + order : {'C', 'F'}, optional + Whether to use row-major ('C') or column-major ('FORTRAN') memory + representation. Default is 'C'. + + Returns + ------- + out : MaskedArray + MaskedArray interpretation of `a`. + + See Also + -------- + asarray : Similar to `asanyarray`, but does not conserve subclass. + + Examples + -------- + >>> x = np.arange(10.).reshape(2, 5) + >>> x + array([[0., 1., 2., 3., 4.], + [5., 6., 7., 8., 9.]]) + >>> np.ma.asanyarray(x) + masked_array( + data=[[0., 1., 2., 3., 4.], + [5., 6., 7., 8., 9.]], + mask=False, + fill_value=1e+20) + >>> type(np.ma.asanyarray(x)) + + + """ + # workaround for #8666, to preserve identity. Ideally the bottom line + # would handle this for us. + if isinstance(a, MaskedArray) and (dtype is None or dtype == a.dtype): + return a + return masked_array(a, dtype=dtype, copy=False, keep_mask=True, subok=True) + + +############################################################################## +# Pickling # +############################################################################## + + +def fromfile(file, dtype=float, count=-1, sep=''): + raise NotImplementedError( + "fromfile() not yet implemented for a MaskedArray.") + + +def fromflex(fxarray): + """ + Build a masked array from a suitable flexible-type array. + + The input array has to have a data-type with ``_data`` and ``_mask`` + fields. This type of array is output by `MaskedArray.toflex`. + + Parameters + ---------- + fxarray : ndarray + The structured input array, containing ``_data`` and ``_mask`` + fields. If present, other fields are discarded. + + Returns + ------- + result : MaskedArray + The constructed masked array. + + See Also + -------- + MaskedArray.toflex : Build a flexible-type array from a masked array. + + Examples + -------- + >>> x = np.ma.array(np.arange(9).reshape(3, 3), mask=[0] + [1, 0] * 4) + >>> rec = x.toflex() + >>> rec + array([[(0, False), (1, True), (2, False)], + [(3, True), (4, False), (5, True)], + [(6, False), (7, True), (8, False)]], + dtype=[('_data', '>> x2 = np.ma.fromflex(rec) + >>> x2 + masked_array( + data=[[0, --, 2], + [--, 4, --], + [6, --, 8]], + mask=[[False, True, False], + [ True, False, True], + [False, True, False]], + fill_value=999999) + + Extra fields can be present in the structured array but are discarded: + + >>> dt = [('_data', '>> rec2 = np.zeros((2, 2), dtype=dt) + >>> rec2 + array([[(0, False, 0.), (0, False, 0.)], + [(0, False, 0.), (0, False, 0.)]], + dtype=[('_data', '>> y = np.ma.fromflex(rec2) + >>> y + masked_array( + data=[[0, 0], + [0, 0]], + mask=[[False, False], + [False, False]], + fill_value=999999, + dtype=int32) + + """ + return masked_array(fxarray['_data'], mask=fxarray['_mask']) + + +class _convert2ma: + + """ + Convert functions from numpy to numpy.ma. + + Parameters + ---------- + _methodname : string + Name of the method to transform. + + """ + __doc__ = None + + def __init__(self, funcname, np_ret, np_ma_ret, params=None): + self._func = getattr(np, funcname) + self.__doc__ = self.getdoc(np_ret, np_ma_ret) + self._extras = params or {} + + def getdoc(self, np_ret, np_ma_ret): + "Return the doc of the function (from the doc of the method)." + doc = getattr(self._func, '__doc__', None) + sig = get_object_signature(self._func) + if doc: + doc = self._replace_return_type(doc, np_ret, np_ma_ret) + # Add the signature of the function at the beginning of the doc + if sig: + sig = "%s%s\n" % (self._func.__name__, sig) + doc = sig + doc + return doc + + def _replace_return_type(self, doc, np_ret, np_ma_ret): + """ + Replace documentation of ``np`` function's return type. + + Replaces it with the proper type for the ``np.ma`` function. + + Parameters + ---------- + doc : str + The documentation of the ``np`` method. + np_ret : str + The return type string of the ``np`` method that we want to + replace. (e.g. "out : ndarray") + np_ma_ret : str + The return type string of the ``np.ma`` method. + (e.g. "out : MaskedArray") + """ + if np_ret not in doc: + raise RuntimeError( + f"Failed to replace `{np_ret}` with `{np_ma_ret}`. " + f"The documentation string for return type, {np_ret}, is not " + f"found in the docstring for `np.{self._func.__name__}`. " + f"Fix the docstring for `np.{self._func.__name__}` or " + "update the expected string for return type." + ) + + return doc.replace(np_ret, np_ma_ret) + + def __call__(self, *args, **params): + # Find the common parameters to the call and the definition + _extras = self._extras + common_params = set(params).intersection(_extras) + # Drop the common parameters from the call + for p in common_params: + _extras[p] = params.pop(p) + # Get the result + result = self._func.__call__(*args, **params).view(MaskedArray) + if "fill_value" in common_params: + result.fill_value = _extras.get("fill_value", None) + if "hardmask" in common_params: + result._hardmask = bool(_extras.get("hard_mask", False)) + return result + + +arange = _convert2ma( + 'arange', + params=dict(fill_value=None, hardmask=False), + np_ret='arange : ndarray', + np_ma_ret='arange : MaskedArray', +) +clip = _convert2ma( + 'clip', + params=dict(fill_value=None, hardmask=False), + np_ret='clipped_array : ndarray', + np_ma_ret='clipped_array : MaskedArray', +) +empty = _convert2ma( + 'empty', + params=dict(fill_value=None, hardmask=False), + np_ret='out : ndarray', + np_ma_ret='out : MaskedArray', +) +empty_like = _convert2ma( + 'empty_like', + np_ret='out : ndarray', + np_ma_ret='out : MaskedArray', +) +frombuffer = _convert2ma( + 'frombuffer', + np_ret='out : ndarray', + np_ma_ret='out: MaskedArray', +) +fromfunction = _convert2ma( + 'fromfunction', + np_ret='fromfunction : any', + np_ma_ret='fromfunction: MaskedArray', +) +identity = _convert2ma( + 'identity', + params=dict(fill_value=None, hardmask=False), + np_ret='out : ndarray', + np_ma_ret='out : MaskedArray', +) +indices = _convert2ma( + 'indices', + params=dict(fill_value=None, hardmask=False), + np_ret='grid : one ndarray or tuple of ndarrays', + np_ma_ret='grid : one MaskedArray or tuple of MaskedArrays', +) +ones = _convert2ma( + 'ones', + params=dict(fill_value=None, hardmask=False), + np_ret='out : ndarray', + np_ma_ret='out : MaskedArray', +) +ones_like = _convert2ma( + 'ones_like', + np_ret='out : ndarray', + np_ma_ret='out : MaskedArray', +) +squeeze = _convert2ma( + 'squeeze', + params=dict(fill_value=None, hardmask=False), + np_ret='squeezed : ndarray', + np_ma_ret='squeezed : MaskedArray', +) +zeros = _convert2ma( + 'zeros', + params=dict(fill_value=None, hardmask=False), + np_ret='out : ndarray', + np_ma_ret='out : MaskedArray', +) +zeros_like = _convert2ma( + 'zeros_like', + np_ret='out : ndarray', + np_ma_ret='out : MaskedArray', +) + + +def append(a, b, axis=None): + """Append values to the end of an array. + + .. versionadded:: 1.9.0 + + Parameters + ---------- + a : array_like + Values are appended to a copy of this array. + b : array_like + These values are appended to a copy of `a`. It must be of the + correct shape (the same shape as `a`, excluding `axis`). If `axis` + is not specified, `b` can be any shape and will be flattened + before use. + axis : int, optional + The axis along which `v` are appended. If `axis` is not given, + both `a` and `b` are flattened before use. + + Returns + ------- + append : MaskedArray + A copy of `a` with `b` appended to `axis`. Note that `append` + does not occur in-place: a new array is allocated and filled. If + `axis` is None, the result is a flattened array. + + See Also + -------- + numpy.append : Equivalent function in the top-level NumPy module. + + Examples + -------- + >>> import numpy.ma as ma + >>> a = ma.masked_values([1, 2, 3], 2) + >>> b = ma.masked_values([[4, 5, 6], [7, 8, 9]], 7) + >>> ma.append(a, b) + masked_array(data=[1, --, 3, 4, 5, 6, --, 8, 9], + mask=[False, True, False, False, False, False, True, False, + False], + fill_value=999999) + """ + return concatenate([a, b], axis) diff --git a/lib/python3.12/site-packages/numpy/ma/core.pyi b/lib/python3.12/site-packages/numpy/ma/core.pyi new file mode 100644 index 0000000000000000000000000000000000000000..e94ebce3c31a00094f4a04953f1716f46c13d8d0 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/ma/core.pyi @@ -0,0 +1,471 @@ +from collections.abc import Callable +from typing import Any, TypeVar +from numpy import ndarray, dtype, float64 + +from numpy import ( + amax as amax, + amin as amin, + bool_ as bool_, + expand_dims as expand_dims, + clip as clip, + indices as indices, + ones_like as ones_like, + squeeze as squeeze, + zeros_like as zeros_like, +) + +from numpy.lib.function_base import ( + angle as angle, +) + +# TODO: Set the `bound` to something more suitable once we +# have proper shape support +_ShapeType = TypeVar("_ShapeType", bound=Any) +_DType_co = TypeVar("_DType_co", bound=dtype[Any], covariant=True) + +__all__: list[str] + +MaskType = bool_ +nomask: bool_ + +class MaskedArrayFutureWarning(FutureWarning): ... +class MAError(Exception): ... +class MaskError(MAError): ... + +def default_fill_value(obj): ... +def minimum_fill_value(obj): ... +def maximum_fill_value(obj): ... +def set_fill_value(a, fill_value): ... +def common_fill_value(a, b): ... +def filled(a, fill_value=...): ... +def getdata(a, subok=...): ... +get_data = getdata + +def fix_invalid(a, mask=..., copy=..., fill_value=...): ... + +class _MaskedUFunc: + f: Any + __doc__: Any + __name__: Any + def __init__(self, ufunc): ... + +class _MaskedUnaryOperation(_MaskedUFunc): + fill: Any + domain: Any + def __init__(self, mufunc, fill=..., domain=...): ... + def __call__(self, a, *args, **kwargs): ... + +class _MaskedBinaryOperation(_MaskedUFunc): + fillx: Any + filly: Any + def __init__(self, mbfunc, fillx=..., filly=...): ... + def __call__(self, a, b, *args, **kwargs): ... + def reduce(self, target, axis=..., dtype=...): ... + def outer(self, a, b): ... + def accumulate(self, target, axis=...): ... + +class _DomainedBinaryOperation(_MaskedUFunc): + domain: Any + fillx: Any + filly: Any + def __init__(self, dbfunc, domain, fillx=..., filly=...): ... + def __call__(self, a, b, *args, **kwargs): ... + +exp: _MaskedUnaryOperation +conjugate: _MaskedUnaryOperation +sin: _MaskedUnaryOperation +cos: _MaskedUnaryOperation +arctan: _MaskedUnaryOperation +arcsinh: _MaskedUnaryOperation +sinh: _MaskedUnaryOperation +cosh: _MaskedUnaryOperation +tanh: _MaskedUnaryOperation +abs: _MaskedUnaryOperation +absolute: _MaskedUnaryOperation +fabs: _MaskedUnaryOperation +negative: _MaskedUnaryOperation +floor: _MaskedUnaryOperation +ceil: _MaskedUnaryOperation +around: _MaskedUnaryOperation +logical_not: _MaskedUnaryOperation +sqrt: _MaskedUnaryOperation +log: _MaskedUnaryOperation +log2: _MaskedUnaryOperation +log10: _MaskedUnaryOperation +tan: _MaskedUnaryOperation +arcsin: _MaskedUnaryOperation +arccos: _MaskedUnaryOperation +arccosh: _MaskedUnaryOperation +arctanh: _MaskedUnaryOperation + +add: _MaskedBinaryOperation +subtract: _MaskedBinaryOperation +multiply: _MaskedBinaryOperation +arctan2: _MaskedBinaryOperation +equal: _MaskedBinaryOperation +not_equal: _MaskedBinaryOperation +less_equal: _MaskedBinaryOperation +greater_equal: _MaskedBinaryOperation +less: _MaskedBinaryOperation +greater: _MaskedBinaryOperation +logical_and: _MaskedBinaryOperation +alltrue: _MaskedBinaryOperation +logical_or: _MaskedBinaryOperation +sometrue: Callable[..., Any] +logical_xor: _MaskedBinaryOperation +bitwise_and: _MaskedBinaryOperation +bitwise_or: _MaskedBinaryOperation +bitwise_xor: _MaskedBinaryOperation +hypot: _MaskedBinaryOperation +divide: _MaskedBinaryOperation +true_divide: _MaskedBinaryOperation +floor_divide: _MaskedBinaryOperation +remainder: _MaskedBinaryOperation +fmod: _MaskedBinaryOperation +mod: _MaskedBinaryOperation + +def make_mask_descr(ndtype): ... +def getmask(a): ... +get_mask = getmask + +def getmaskarray(arr): ... +def is_mask(m): ... +def make_mask(m, copy=..., shrink=..., dtype=...): ... +def make_mask_none(newshape, dtype=...): ... +def mask_or(m1, m2, copy=..., shrink=...): ... +def flatten_mask(mask): ... +def masked_where(condition, a, copy=...): ... +def masked_greater(x, value, copy=...): ... +def masked_greater_equal(x, value, copy=...): ... +def masked_less(x, value, copy=...): ... +def masked_less_equal(x, value, copy=...): ... +def masked_not_equal(x, value, copy=...): ... +def masked_equal(x, value, copy=...): ... +def masked_inside(x, v1, v2, copy=...): ... +def masked_outside(x, v1, v2, copy=...): ... +def masked_object(x, value, copy=..., shrink=...): ... +def masked_values(x, value, rtol=..., atol=..., copy=..., shrink=...): ... +def masked_invalid(a, copy=...): ... + +class _MaskedPrintOption: + def __init__(self, display): ... + def display(self): ... + def set_display(self, s): ... + def enabled(self): ... + def enable(self, shrink=...): ... + +masked_print_option: _MaskedPrintOption + +def flatten_structured_array(a): ... + +class MaskedIterator: + ma: Any + dataiter: Any + maskiter: Any + def __init__(self, ma): ... + def __iter__(self): ... + def __getitem__(self, indx): ... + def __setitem__(self, index, value): ... + def __next__(self): ... + +class MaskedArray(ndarray[_ShapeType, _DType_co]): + __array_priority__: Any + def __new__(cls, data=..., mask=..., dtype=..., copy=..., subok=..., ndmin=..., fill_value=..., keep_mask=..., hard_mask=..., shrink=..., order=...): ... + def __array_finalize__(self, obj): ... + def __array_wrap__(self, obj, context=...): ... + def view(self, dtype=..., type=..., fill_value=...): ... + def __getitem__(self, indx): ... + def __setitem__(self, indx, value): ... + @property + def dtype(self): ... + @dtype.setter + def dtype(self, dtype): ... + @property + def shape(self): ... + @shape.setter + def shape(self, shape): ... + def __setmask__(self, mask, copy=...): ... + @property + def mask(self): ... + @mask.setter + def mask(self, value): ... + @property + def recordmask(self): ... + @recordmask.setter + def recordmask(self, mask): ... + def harden_mask(self): ... + def soften_mask(self): ... + @property + def hardmask(self): ... + def unshare_mask(self): ... + @property + def sharedmask(self): ... + def shrink_mask(self): ... + @property + def baseclass(self): ... + data: Any + @property + def flat(self): ... + @flat.setter + def flat(self, value): ... + @property + def fill_value(self): ... + @fill_value.setter + def fill_value(self, value=...): ... + get_fill_value: Any + set_fill_value: Any + def filled(self, fill_value=...): ... + def compressed(self): ... + def compress(self, condition, axis=..., out=...): ... + def __eq__(self, other): ... + def __ne__(self, other): ... + def __ge__(self, other): ... + def __gt__(self, other): ... + def __le__(self, other): ... + def __lt__(self, other): ... + def __add__(self, other): ... + def __radd__(self, other): ... + def __sub__(self, other): ... + def __rsub__(self, other): ... + def __mul__(self, other): ... + def __rmul__(self, other): ... + def __div__(self, other): ... + def __truediv__(self, other): ... + def __rtruediv__(self, other): ... + def __floordiv__(self, other): ... + def __rfloordiv__(self, other): ... + def __pow__(self, other): ... + def __rpow__(self, other): ... + def __iadd__(self, other): ... + def __isub__(self, other): ... + def __imul__(self, other): ... + def __idiv__(self, other): ... + def __ifloordiv__(self, other): ... + def __itruediv__(self, other): ... + def __ipow__(self, other): ... + def __float__(self): ... + def __int__(self): ... + @property # type: ignore[misc] + def imag(self): ... + get_imag: Any + @property # type: ignore[misc] + def real(self): ... + get_real: Any + def count(self, axis=..., keepdims=...): ... + def ravel(self, order=...): ... + def reshape(self, *s, **kwargs): ... + def resize(self, newshape, refcheck=..., order=...): ... + def put(self, indices, values, mode=...): ... + def ids(self): ... + def iscontiguous(self): ... + def all(self, axis=..., out=..., keepdims=...): ... + def any(self, axis=..., out=..., keepdims=...): ... + def nonzero(self): ... + def trace(self, offset=..., axis1=..., axis2=..., dtype=..., out=...): ... + def dot(self, b, out=..., strict=...): ... + def sum(self, axis=..., dtype=..., out=..., keepdims=...): ... + def cumsum(self, axis=..., dtype=..., out=...): ... + def prod(self, axis=..., dtype=..., out=..., keepdims=...): ... + product: Any + def cumprod(self, axis=..., dtype=..., out=...): ... + def mean(self, axis=..., dtype=..., out=..., keepdims=...): ... + def anom(self, axis=..., dtype=...): ... + def var(self, axis=..., dtype=..., out=..., ddof=..., keepdims=...): ... + def std(self, axis=..., dtype=..., out=..., ddof=..., keepdims=...): ... + def round(self, decimals=..., out=...): ... + def argsort(self, axis=..., kind=..., order=..., endwith=..., fill_value=...): ... + def argmin(self, axis=..., fill_value=..., out=..., *, keepdims=...): ... + def argmax(self, axis=..., fill_value=..., out=..., *, keepdims=...): ... + def sort(self, axis=..., kind=..., order=..., endwith=..., fill_value=...): ... + def min(self, axis=..., out=..., fill_value=..., keepdims=...): ... + # NOTE: deprecated + # def tostring(self, fill_value=..., order=...): ... + def max(self, axis=..., out=..., fill_value=..., keepdims=...): ... + def ptp(self, axis=..., out=..., fill_value=..., keepdims=...): ... + def partition(self, *args, **kwargs): ... + def argpartition(self, *args, **kwargs): ... + def take(self, indices, axis=..., out=..., mode=...): ... + copy: Any + diagonal: Any + flatten: Any + repeat: Any + squeeze: Any + swapaxes: Any + T: Any + transpose: Any + def tolist(self, fill_value=...): ... + def tobytes(self, fill_value=..., order=...): ... + def tofile(self, fid, sep=..., format=...): ... + def toflex(self): ... + torecords: Any + def __reduce__(self): ... + def __deepcopy__(self, memo=...): ... + +class mvoid(MaskedArray[_ShapeType, _DType_co]): + def __new__( + self, + data, + mask=..., + dtype=..., + fill_value=..., + hardmask=..., + copy=..., + subok=..., + ): ... + def __getitem__(self, indx): ... + def __setitem__(self, indx, value): ... + def __iter__(self): ... + def __len__(self): ... + def filled(self, fill_value=...): ... + def tolist(self): ... + +def isMaskedArray(x): ... +isarray = isMaskedArray +isMA = isMaskedArray + +# 0D float64 array +class MaskedConstant(MaskedArray[Any, dtype[float64]]): + def __new__(cls): ... + __class__: Any + def __array_finalize__(self, obj): ... + def __array_prepare__(self, obj, context=...): ... + def __array_wrap__(self, obj, context=...): ... + def __format__(self, format_spec): ... + def __reduce__(self): ... + def __iop__(self, other): ... + __iadd__: Any + __isub__: Any + __imul__: Any + __ifloordiv__: Any + __itruediv__: Any + __ipow__: Any + def copy(self, *args, **kwargs): ... + def __copy__(self): ... + def __deepcopy__(self, memo): ... + def __setattr__(self, attr, value): ... + +masked: MaskedConstant +masked_singleton: MaskedConstant +masked_array = MaskedArray + +def array( + data, + dtype=..., + copy=..., + order=..., + mask=..., + fill_value=..., + keep_mask=..., + hard_mask=..., + shrink=..., + subok=..., + ndmin=..., +): ... +def is_masked(x): ... + +class _extrema_operation(_MaskedUFunc): + compare: Any + fill_value_func: Any + def __init__(self, ufunc, compare, fill_value): ... + # NOTE: in practice `b` has a default value, but users should + # explicitly provide a value here as the default is deprecated + def __call__(self, a, b): ... + def reduce(self, target, axis=...): ... + def outer(self, a, b): ... + +def min(obj, axis=..., out=..., fill_value=..., keepdims=...): ... +def max(obj, axis=..., out=..., fill_value=..., keepdims=...): ... +def ptp(obj, axis=..., out=..., fill_value=..., keepdims=...): ... + +class _frommethod: + __name__: Any + __doc__: Any + reversed: Any + def __init__(self, methodname, reversed=...): ... + def getdoc(self): ... + def __call__(self, a, *args, **params): ... + +all: _frommethod +anomalies: _frommethod +anom: _frommethod +any: _frommethod +compress: _frommethod +cumprod: _frommethod +cumsum: _frommethod +copy: _frommethod +diagonal: _frommethod +harden_mask: _frommethod +ids: _frommethod +mean: _frommethod +nonzero: _frommethod +prod: _frommethod +product: _frommethod +ravel: _frommethod +repeat: _frommethod +soften_mask: _frommethod +std: _frommethod +sum: _frommethod +swapaxes: _frommethod +trace: _frommethod +var: _frommethod +count: _frommethod +argmin: _frommethod +argmax: _frommethod + +minimum: _extrema_operation +maximum: _extrema_operation + +def take(a, indices, axis=..., out=..., mode=...): ... +def power(a, b, third=...): ... +def argsort(a, axis=..., kind=..., order=..., endwith=..., fill_value=...): ... +def sort(a, axis=..., kind=..., order=..., endwith=..., fill_value=...): ... +def compressed(x): ... +def concatenate(arrays, axis=...): ... +def diag(v, k=...): ... +def left_shift(a, n): ... +def right_shift(a, n): ... +def put(a, indices, values, mode=...): ... +def putmask(a, mask, values): ... +def transpose(a, axes=...): ... +def reshape(a, new_shape, order=...): ... +def resize(x, new_shape): ... +def ndim(obj): ... +def shape(obj): ... +def size(obj, axis=...): ... +def diff(a, /, n=..., axis=..., prepend=..., append=...): ... +def where(condition, x=..., y=...): ... +def choose(indices, choices, out=..., mode=...): ... +def round(a, decimals=..., out=...): ... + +def inner(a, b): ... +innerproduct = inner + +def outer(a, b): ... +outerproduct = outer + +def correlate(a, v, mode=..., propagate_mask=...): ... +def convolve(a, v, mode=..., propagate_mask=...): ... +def allequal(a, b, fill_value=...): ... +def allclose(a, b, masked_equal=..., rtol=..., atol=...): ... +def asarray(a, dtype=..., order=...): ... +def asanyarray(a, dtype=...): ... +def fromflex(fxarray): ... + +class _convert2ma: + __doc__: Any + def __init__(self, funcname, params=...): ... + def getdoc(self): ... + def __call__(self, *args, **params): ... + +arange: _convert2ma +empty: _convert2ma +empty_like: _convert2ma +frombuffer: _convert2ma +fromfunction: _convert2ma +identity: _convert2ma +ones: _convert2ma +zeros: _convert2ma + +def append(a, b, axis=...): ... +def dot(a, b, strict=..., out=...): ... +def mask_rowcols(a, axis=...): ... diff --git a/lib/python3.12/site-packages/numpy/ma/extras.py b/lib/python3.12/site-packages/numpy/ma/extras.py new file mode 100644 index 0000000000000000000000000000000000000000..8a6246c3666c8475be5b63261692e0718f2095e9 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/ma/extras.py @@ -0,0 +1,2133 @@ +""" +Masked arrays add-ons. + +A collection of utilities for `numpy.ma`. + +:author: Pierre Gerard-Marchant +:contact: pierregm_at_uga_dot_edu +:version: $Id: extras.py 3473 2007-10-29 15:18:13Z jarrod.millman $ + +""" +__all__ = [ + 'apply_along_axis', 'apply_over_axes', 'atleast_1d', 'atleast_2d', + 'atleast_3d', 'average', 'clump_masked', 'clump_unmasked', 'column_stack', + 'compress_cols', 'compress_nd', 'compress_rowcols', 'compress_rows', + 'count_masked', 'corrcoef', 'cov', 'diagflat', 'dot', 'dstack', 'ediff1d', + 'flatnotmasked_contiguous', 'flatnotmasked_edges', 'hsplit', 'hstack', + 'isin', 'in1d', 'intersect1d', 'mask_cols', 'mask_rowcols', 'mask_rows', + 'masked_all', 'masked_all_like', 'median', 'mr_', 'ndenumerate', + 'notmasked_contiguous', 'notmasked_edges', 'polyfit', 'row_stack', + 'setdiff1d', 'setxor1d', 'stack', 'unique', 'union1d', 'vander', 'vstack', + ] + +import itertools +import warnings + +from . import core as ma +from .core import ( + MaskedArray, MAError, add, array, asarray, concatenate, filled, count, + getmask, getmaskarray, make_mask_descr, masked, masked_array, mask_or, + nomask, ones, sort, zeros, getdata, get_masked_subclass, dot + ) + +import numpy as np +from numpy import ndarray, array as nxarray +from numpy.core.multiarray import normalize_axis_index +from numpy.core.numeric import normalize_axis_tuple +from numpy.lib.function_base import _ureduce +from numpy.lib.index_tricks import AxisConcatenator + + +def issequence(seq): + """ + Is seq a sequence (ndarray, list or tuple)? + + """ + return isinstance(seq, (ndarray, tuple, list)) + + +def count_masked(arr, axis=None): + """ + Count the number of masked elements along the given axis. + + Parameters + ---------- + arr : array_like + An array with (possibly) masked elements. + axis : int, optional + Axis along which to count. If None (default), a flattened + version of the array is used. + + Returns + ------- + count : int, ndarray + The total number of masked elements (axis=None) or the number + of masked elements along each slice of the given axis. + + See Also + -------- + MaskedArray.count : Count non-masked elements. + + Examples + -------- + >>> import numpy.ma as ma + >>> a = np.arange(9).reshape((3,3)) + >>> a = ma.array(a) + >>> a[1, 0] = ma.masked + >>> a[1, 2] = ma.masked + >>> a[2, 1] = ma.masked + >>> a + masked_array( + data=[[0, 1, 2], + [--, 4, --], + [6, --, 8]], + mask=[[False, False, False], + [ True, False, True], + [False, True, False]], + fill_value=999999) + >>> ma.count_masked(a) + 3 + + When the `axis` keyword is used an array is returned. + + >>> ma.count_masked(a, axis=0) + array([1, 1, 1]) + >>> ma.count_masked(a, axis=1) + array([0, 2, 1]) + + """ + m = getmaskarray(arr) + return m.sum(axis) + + +def masked_all(shape, dtype=float): + """ + Empty masked array with all elements masked. + + Return an empty masked array of the given shape and dtype, where all the + data are masked. + + Parameters + ---------- + shape : int or tuple of ints + Shape of the required MaskedArray, e.g., ``(2, 3)`` or ``2``. + dtype : dtype, optional + Data type of the output. + + Returns + ------- + a : MaskedArray + A masked array with all data masked. + + See Also + -------- + masked_all_like : Empty masked array modelled on an existing array. + + Examples + -------- + >>> import numpy.ma as ma + >>> ma.masked_all((3, 3)) + masked_array( + data=[[--, --, --], + [--, --, --], + [--, --, --]], + mask=[[ True, True, True], + [ True, True, True], + [ True, True, True]], + fill_value=1e+20, + dtype=float64) + + The `dtype` parameter defines the underlying data type. + + >>> a = ma.masked_all((3, 3)) + >>> a.dtype + dtype('float64') + >>> a = ma.masked_all((3, 3), dtype=np.int32) + >>> a.dtype + dtype('int32') + + """ + a = masked_array(np.empty(shape, dtype), + mask=np.ones(shape, make_mask_descr(dtype))) + return a + + +def masked_all_like(arr): + """ + Empty masked array with the properties of an existing array. + + Return an empty masked array of the same shape and dtype as + the array `arr`, where all the data are masked. + + Parameters + ---------- + arr : ndarray + An array describing the shape and dtype of the required MaskedArray. + + Returns + ------- + a : MaskedArray + A masked array with all data masked. + + Raises + ------ + AttributeError + If `arr` doesn't have a shape attribute (i.e. not an ndarray) + + See Also + -------- + masked_all : Empty masked array with all elements masked. + + Examples + -------- + >>> import numpy.ma as ma + >>> arr = np.zeros((2, 3), dtype=np.float32) + >>> arr + array([[0., 0., 0.], + [0., 0., 0.]], dtype=float32) + >>> ma.masked_all_like(arr) + masked_array( + data=[[--, --, --], + [--, --, --]], + mask=[[ True, True, True], + [ True, True, True]], + fill_value=1e+20, + dtype=float32) + + The dtype of the masked array matches the dtype of `arr`. + + >>> arr.dtype + dtype('float32') + >>> ma.masked_all_like(arr).dtype + dtype('float32') + + """ + a = np.empty_like(arr).view(MaskedArray) + a._mask = np.ones(a.shape, dtype=make_mask_descr(a.dtype)) + return a + + +#####-------------------------------------------------------------------------- +#---- --- Standard functions --- +#####-------------------------------------------------------------------------- +class _fromnxfunction: + """ + Defines a wrapper to adapt NumPy functions to masked arrays. + + + An instance of `_fromnxfunction` can be called with the same parameters + as the wrapped NumPy function. The docstring of `newfunc` is adapted from + the wrapped function as well, see `getdoc`. + + This class should not be used directly. Instead, one of its extensions that + provides support for a specific type of input should be used. + + Parameters + ---------- + funcname : str + The name of the function to be adapted. The function should be + in the NumPy namespace (i.e. ``np.funcname``). + + """ + + def __init__(self, funcname): + self.__name__ = funcname + self.__doc__ = self.getdoc() + + def getdoc(self): + """ + Retrieve the docstring and signature from the function. + + The ``__doc__`` attribute of the function is used as the docstring for + the new masked array version of the function. A note on application + of the function to the mask is appended. + + Parameters + ---------- + None + + """ + npfunc = getattr(np, self.__name__, None) + doc = getattr(npfunc, '__doc__', None) + if doc: + sig = self.__name__ + ma.get_object_signature(npfunc) + doc = ma.doc_note(doc, "The function is applied to both the _data " + "and the _mask, if any.") + return '\n\n'.join((sig, doc)) + return + + def __call__(self, *args, **params): + pass + + +class _fromnxfunction_single(_fromnxfunction): + """ + A version of `_fromnxfunction` that is called with a single array + argument followed by auxiliary args that are passed verbatim for + both the data and mask calls. + """ + def __call__(self, x, *args, **params): + func = getattr(np, self.__name__) + if isinstance(x, ndarray): + _d = func(x.__array__(), *args, **params) + _m = func(getmaskarray(x), *args, **params) + return masked_array(_d, mask=_m) + else: + _d = func(np.asarray(x), *args, **params) + _m = func(getmaskarray(x), *args, **params) + return masked_array(_d, mask=_m) + + +class _fromnxfunction_seq(_fromnxfunction): + """ + A version of `_fromnxfunction` that is called with a single sequence + of arrays followed by auxiliary args that are passed verbatim for + both the data and mask calls. + """ + def __call__(self, x, *args, **params): + func = getattr(np, self.__name__) + _d = func(tuple([np.asarray(a) for a in x]), *args, **params) + _m = func(tuple([getmaskarray(a) for a in x]), *args, **params) + return masked_array(_d, mask=_m) + + +class _fromnxfunction_args(_fromnxfunction): + """ + A version of `_fromnxfunction` that is called with multiple array + arguments. The first non-array-like input marks the beginning of the + arguments that are passed verbatim for both the data and mask calls. + Array arguments are processed independently and the results are + returned in a list. If only one array is found, the return value is + just the processed array instead of a list. + """ + def __call__(self, *args, **params): + func = getattr(np, self.__name__) + arrays = [] + args = list(args) + while len(args) > 0 and issequence(args[0]): + arrays.append(args.pop(0)) + res = [] + for x in arrays: + _d = func(np.asarray(x), *args, **params) + _m = func(getmaskarray(x), *args, **params) + res.append(masked_array(_d, mask=_m)) + if len(arrays) == 1: + return res[0] + return res + + +class _fromnxfunction_allargs(_fromnxfunction): + """ + A version of `_fromnxfunction` that is called with multiple array + arguments. Similar to `_fromnxfunction_args` except that all args + are converted to arrays even if they are not so already. This makes + it possible to process scalars as 1-D arrays. Only keyword arguments + are passed through verbatim for the data and mask calls. Arrays + arguments are processed independently and the results are returned + in a list. If only one arg is present, the return value is just the + processed array instead of a list. + """ + def __call__(self, *args, **params): + func = getattr(np, self.__name__) + res = [] + for x in args: + _d = func(np.asarray(x), **params) + _m = func(getmaskarray(x), **params) + res.append(masked_array(_d, mask=_m)) + if len(args) == 1: + return res[0] + return res + + +atleast_1d = _fromnxfunction_allargs('atleast_1d') +atleast_2d = _fromnxfunction_allargs('atleast_2d') +atleast_3d = _fromnxfunction_allargs('atleast_3d') + +vstack = row_stack = _fromnxfunction_seq('vstack') +hstack = _fromnxfunction_seq('hstack') +column_stack = _fromnxfunction_seq('column_stack') +dstack = _fromnxfunction_seq('dstack') +stack = _fromnxfunction_seq('stack') + +hsplit = _fromnxfunction_single('hsplit') + +diagflat = _fromnxfunction_single('diagflat') + + +#####-------------------------------------------------------------------------- +#---- +#####-------------------------------------------------------------------------- +def flatten_inplace(seq): + """Flatten a sequence in place.""" + k = 0 + while (k != len(seq)): + while hasattr(seq[k], '__iter__'): + seq[k:(k + 1)] = seq[k] + k += 1 + return seq + + +def apply_along_axis(func1d, axis, arr, *args, **kwargs): + """ + (This docstring should be overwritten) + """ + arr = array(arr, copy=False, subok=True) + nd = arr.ndim + axis = normalize_axis_index(axis, nd) + ind = [0] * (nd - 1) + i = np.zeros(nd, 'O') + indlist = list(range(nd)) + indlist.remove(axis) + i[axis] = slice(None, None) + outshape = np.asarray(arr.shape).take(indlist) + i.put(indlist, ind) + res = func1d(arr[tuple(i.tolist())], *args, **kwargs) + # if res is a number, then we have a smaller output array + asscalar = np.isscalar(res) + if not asscalar: + try: + len(res) + except TypeError: + asscalar = True + # Note: we shouldn't set the dtype of the output from the first result + # so we force the type to object, and build a list of dtypes. We'll + # just take the largest, to avoid some downcasting + dtypes = [] + if asscalar: + dtypes.append(np.asarray(res).dtype) + outarr = zeros(outshape, object) + outarr[tuple(ind)] = res + Ntot = np.prod(outshape) + k = 1 + while k < Ntot: + # increment the index + ind[-1] += 1 + n = -1 + while (ind[n] >= outshape[n]) and (n > (1 - nd)): + ind[n - 1] += 1 + ind[n] = 0 + n -= 1 + i.put(indlist, ind) + res = func1d(arr[tuple(i.tolist())], *args, **kwargs) + outarr[tuple(ind)] = res + dtypes.append(asarray(res).dtype) + k += 1 + else: + res = array(res, copy=False, subok=True) + j = i.copy() + j[axis] = ([slice(None, None)] * res.ndim) + j.put(indlist, ind) + Ntot = np.prod(outshape) + holdshape = outshape + outshape = list(arr.shape) + outshape[axis] = res.shape + dtypes.append(asarray(res).dtype) + outshape = flatten_inplace(outshape) + outarr = zeros(outshape, object) + outarr[tuple(flatten_inplace(j.tolist()))] = res + k = 1 + while k < Ntot: + # increment the index + ind[-1] += 1 + n = -1 + while (ind[n] >= holdshape[n]) and (n > (1 - nd)): + ind[n - 1] += 1 + ind[n] = 0 + n -= 1 + i.put(indlist, ind) + j.put(indlist, ind) + res = func1d(arr[tuple(i.tolist())], *args, **kwargs) + outarr[tuple(flatten_inplace(j.tolist()))] = res + dtypes.append(asarray(res).dtype) + k += 1 + max_dtypes = np.dtype(np.asarray(dtypes).max()) + if not hasattr(arr, '_mask'): + result = np.asarray(outarr, dtype=max_dtypes) + else: + result = asarray(outarr, dtype=max_dtypes) + result.fill_value = ma.default_fill_value(result) + return result +apply_along_axis.__doc__ = np.apply_along_axis.__doc__ + + +def apply_over_axes(func, a, axes): + """ + (This docstring will be overwritten) + """ + val = asarray(a) + N = a.ndim + if array(axes).ndim == 0: + axes = (axes,) + for axis in axes: + if axis < 0: + axis = N + axis + args = (val, axis) + res = func(*args) + if res.ndim == val.ndim: + val = res + else: + res = ma.expand_dims(res, axis) + if res.ndim == val.ndim: + val = res + else: + raise ValueError("function is not returning " + "an array of the correct shape") + return val + + +if apply_over_axes.__doc__ is not None: + apply_over_axes.__doc__ = np.apply_over_axes.__doc__[ + :np.apply_over_axes.__doc__.find('Notes')].rstrip() + \ + """ + + Examples + -------- + >>> a = np.ma.arange(24).reshape(2,3,4) + >>> a[:,0,1] = np.ma.masked + >>> a[:,1,:] = np.ma.masked + >>> a + masked_array( + data=[[[0, --, 2, 3], + [--, --, --, --], + [8, 9, 10, 11]], + [[12, --, 14, 15], + [--, --, --, --], + [20, 21, 22, 23]]], + mask=[[[False, True, False, False], + [ True, True, True, True], + [False, False, False, False]], + [[False, True, False, False], + [ True, True, True, True], + [False, False, False, False]]], + fill_value=999999) + >>> np.ma.apply_over_axes(np.ma.sum, a, [0,2]) + masked_array( + data=[[[46], + [--], + [124]]], + mask=[[[False], + [ True], + [False]]], + fill_value=999999) + + Tuple axis arguments to ufuncs are equivalent: + + >>> np.ma.sum(a, axis=(0,2)).reshape((1,-1,1)) + masked_array( + data=[[[46], + [--], + [124]]], + mask=[[[False], + [ True], + [False]]], + fill_value=999999) + """ + + +def average(a, axis=None, weights=None, returned=False, *, + keepdims=np._NoValue): + """ + Return the weighted average of array over the given axis. + + Parameters + ---------- + a : array_like + Data to be averaged. + Masked entries are not taken into account in the computation. + axis : int, optional + Axis along which to average `a`. If None, averaging is done over + the flattened array. + weights : array_like, optional + The importance that each element has in the computation of the average. + The weights array can either be 1-D (in which case its length must be + the size of `a` along the given axis) or of the same shape as `a`. + If ``weights=None``, then all data in `a` are assumed to have a + weight equal to one. The 1-D calculation is:: + + avg = sum(a * weights) / sum(weights) + + The only constraint on `weights` is that `sum(weights)` must not be 0. + returned : bool, optional + Flag indicating whether a tuple ``(result, sum of weights)`` + should be returned as output (True), or just the result (False). + Default is False. + keepdims : bool, optional + If this is set to True, the axes which are reduced are left + in the result as dimensions with size one. With this option, + the result will broadcast correctly against the original `a`. + *Note:* `keepdims` will not work with instances of `numpy.matrix` + or other classes whose methods do not support `keepdims`. + + .. versionadded:: 1.23.0 + + Returns + ------- + average, [sum_of_weights] : (tuple of) scalar or MaskedArray + The average along the specified axis. When returned is `True`, + return a tuple with the average as the first element and the sum + of the weights as the second element. The return type is `np.float64` + if `a` is of integer type and floats smaller than `float64`, or the + input data-type, otherwise. If returned, `sum_of_weights` is always + `float64`. + + Examples + -------- + >>> a = np.ma.array([1., 2., 3., 4.], mask=[False, False, True, True]) + >>> np.ma.average(a, weights=[3, 1, 0, 0]) + 1.25 + + >>> x = np.ma.arange(6.).reshape(3, 2) + >>> x + masked_array( + data=[[0., 1.], + [2., 3.], + [4., 5.]], + mask=False, + fill_value=1e+20) + >>> avg, sumweights = np.ma.average(x, axis=0, weights=[1, 2, 3], + ... returned=True) + >>> avg + masked_array(data=[2.6666666666666665, 3.6666666666666665], + mask=[False, False], + fill_value=1e+20) + + With ``keepdims=True``, the following result has shape (3, 1). + + >>> np.ma.average(x, axis=1, keepdims=True) + masked_array( + data=[[0.5], + [2.5], + [4.5]], + mask=False, + fill_value=1e+20) + """ + a = asarray(a) + m = getmask(a) + + # inspired by 'average' in numpy/lib/function_base.py + + if keepdims is np._NoValue: + # Don't pass on the keepdims argument if one wasn't given. + keepdims_kw = {} + else: + keepdims_kw = {'keepdims': keepdims} + + if weights is None: + avg = a.mean(axis, **keepdims_kw) + scl = avg.dtype.type(a.count(axis)) + else: + wgt = asarray(weights) + + if issubclass(a.dtype.type, (np.integer, np.bool_)): + result_dtype = np.result_type(a.dtype, wgt.dtype, 'f8') + else: + result_dtype = np.result_type(a.dtype, wgt.dtype) + + # Sanity checks + if a.shape != wgt.shape: + if axis is None: + raise TypeError( + "Axis must be specified when shapes of a and weights " + "differ.") + if wgt.ndim != 1: + raise TypeError( + "1D weights expected when shapes of a and weights differ.") + if wgt.shape[0] != a.shape[axis]: + raise ValueError( + "Length of weights not compatible with specified axis.") + + # setup wgt to broadcast along axis + wgt = np.broadcast_to(wgt, (a.ndim-1)*(1,) + wgt.shape, subok=True) + wgt = wgt.swapaxes(-1, axis) + + if m is not nomask: + wgt = wgt*(~a.mask) + wgt.mask |= a.mask + + scl = wgt.sum(axis=axis, dtype=result_dtype, **keepdims_kw) + avg = np.multiply(a, wgt, + dtype=result_dtype).sum(axis, **keepdims_kw) / scl + + if returned: + if scl.shape != avg.shape: + scl = np.broadcast_to(scl, avg.shape).copy() + return avg, scl + else: + return avg + + +def median(a, axis=None, out=None, overwrite_input=False, keepdims=False): + """ + Compute the median along the specified axis. + + Returns the median of the array elements. + + Parameters + ---------- + a : array_like + Input array or object that can be converted to an array. + axis : int, optional + Axis along which the medians are computed. The default (None) is + to compute the median along a flattened version of the array. + out : ndarray, optional + Alternative output array in which to place the result. It must + have the same shape and buffer length as the expected output + but the type will be cast if necessary. + overwrite_input : bool, optional + If True, then allow use of memory of input array (a) for + calculations. The input array will be modified by the call to + median. This will save memory when you do not need to preserve + the contents of the input array. Treat the input as undefined, + but it will probably be fully or partially sorted. Default is + False. Note that, if `overwrite_input` is True, and the input + is not already an `ndarray`, an error will be raised. + keepdims : bool, optional + If this is set to True, the axes which are reduced are left + in the result as dimensions with size one. With this option, + the result will broadcast correctly against the input array. + + .. versionadded:: 1.10.0 + + Returns + ------- + median : ndarray + A new array holding the result is returned unless out is + specified, in which case a reference to out is returned. + Return data-type is `float64` for integers and floats smaller than + `float64`, or the input data-type, otherwise. + + See Also + -------- + mean + + Notes + ----- + Given a vector ``V`` with ``N`` non masked values, the median of ``V`` + is the middle value of a sorted copy of ``V`` (``Vs``) - i.e. + ``Vs[(N-1)/2]``, when ``N`` is odd, or ``{Vs[N/2 - 1] + Vs[N/2]}/2`` + when ``N`` is even. + + Examples + -------- + >>> x = np.ma.array(np.arange(8), mask=[0]*4 + [1]*4) + >>> np.ma.median(x) + 1.5 + + >>> x = np.ma.array(np.arange(10).reshape(2, 5), mask=[0]*6 + [1]*4) + >>> np.ma.median(x) + 2.5 + >>> np.ma.median(x, axis=-1, overwrite_input=True) + masked_array(data=[2.0, 5.0], + mask=[False, False], + fill_value=1e+20) + + """ + if not hasattr(a, 'mask'): + m = np.median(getdata(a, subok=True), axis=axis, + out=out, overwrite_input=overwrite_input, + keepdims=keepdims) + if isinstance(m, np.ndarray) and 1 <= m.ndim: + return masked_array(m, copy=False) + else: + return m + + return _ureduce(a, func=_median, keepdims=keepdims, axis=axis, out=out, + overwrite_input=overwrite_input) + + +def _median(a, axis=None, out=None, overwrite_input=False): + # when an unmasked NaN is present return it, so we need to sort the NaN + # values behind the mask + if np.issubdtype(a.dtype, np.inexact): + fill_value = np.inf + else: + fill_value = None + if overwrite_input: + if axis is None: + asorted = a.ravel() + asorted.sort(fill_value=fill_value) + else: + a.sort(axis=axis, fill_value=fill_value) + asorted = a + else: + asorted = sort(a, axis=axis, fill_value=fill_value) + + if axis is None: + axis = 0 + else: + axis = normalize_axis_index(axis, asorted.ndim) + + if asorted.shape[axis] == 0: + # for empty axis integer indices fail so use slicing to get same result + # as median (which is mean of empty slice = nan) + indexer = [slice(None)] * asorted.ndim + indexer[axis] = slice(0, 0) + indexer = tuple(indexer) + return np.ma.mean(asorted[indexer], axis=axis, out=out) + + if asorted.ndim == 1: + idx, odd = divmod(count(asorted), 2) + mid = asorted[idx + odd - 1:idx + 1] + if np.issubdtype(asorted.dtype, np.inexact) and asorted.size > 0: + # avoid inf / x = masked + s = mid.sum(out=out) + if not odd: + s = np.true_divide(s, 2., casting='safe', out=out) + s = np.lib.utils._median_nancheck(asorted, s, axis) + else: + s = mid.mean(out=out) + + # if result is masked either the input contained enough + # minimum_fill_value so that it would be the median or all values + # masked + if np.ma.is_masked(s) and not np.all(asorted.mask): + return np.ma.minimum_fill_value(asorted) + return s + + counts = count(asorted, axis=axis, keepdims=True) + h = counts // 2 + + # duplicate high if odd number of elements so mean does nothing + odd = counts % 2 == 1 + l = np.where(odd, h, h-1) + + lh = np.concatenate([l,h], axis=axis) + + # get low and high median + low_high = np.take_along_axis(asorted, lh, axis=axis) + + def replace_masked(s): + # Replace masked entries with minimum_full_value unless it all values + # are masked. This is required as the sort order of values equal or + # larger than the fill value is undefined and a valid value placed + # elsewhere, e.g. [4, --, inf]. + if np.ma.is_masked(s): + rep = (~np.all(asorted.mask, axis=axis, keepdims=True)) & s.mask + s.data[rep] = np.ma.minimum_fill_value(asorted) + s.mask[rep] = False + + replace_masked(low_high) + + if np.issubdtype(asorted.dtype, np.inexact): + # avoid inf / x = masked + s = np.ma.sum(low_high, axis=axis, out=out) + np.true_divide(s.data, 2., casting='unsafe', out=s.data) + + s = np.lib.utils._median_nancheck(asorted, s, axis) + else: + s = np.ma.mean(low_high, axis=axis, out=out) + + return s + + +def compress_nd(x, axis=None): + """Suppress slices from multiple dimensions which contain masked values. + + Parameters + ---------- + x : array_like, MaskedArray + The array to operate on. If not a MaskedArray instance (or if no array + elements are masked), `x` is interpreted as a MaskedArray with `mask` + set to `nomask`. + axis : tuple of ints or int, optional + Which dimensions to suppress slices from can be configured with this + parameter. + - If axis is a tuple of ints, those are the axes to suppress slices from. + - If axis is an int, then that is the only axis to suppress slices from. + - If axis is None, all axis are selected. + + Returns + ------- + compress_array : ndarray + The compressed array. + """ + x = asarray(x) + m = getmask(x) + # Set axis to tuple of ints + if axis is None: + axis = tuple(range(x.ndim)) + else: + axis = normalize_axis_tuple(axis, x.ndim) + + # Nothing is masked: return x + if m is nomask or not m.any(): + return x._data + # All is masked: return empty + if m.all(): + return nxarray([]) + # Filter elements through boolean indexing + data = x._data + for ax in axis: + axes = tuple(list(range(ax)) + list(range(ax + 1, x.ndim))) + data = data[(slice(None),)*ax + (~m.any(axis=axes),)] + return data + + +def compress_rowcols(x, axis=None): + """ + Suppress the rows and/or columns of a 2-D array that contain + masked values. + + The suppression behavior is selected with the `axis` parameter. + + - If axis is None, both rows and columns are suppressed. + - If axis is 0, only rows are suppressed. + - If axis is 1 or -1, only columns are suppressed. + + Parameters + ---------- + x : array_like, MaskedArray + The array to operate on. If not a MaskedArray instance (or if no array + elements are masked), `x` is interpreted as a MaskedArray with + `mask` set to `nomask`. Must be a 2D array. + axis : int, optional + Axis along which to perform the operation. Default is None. + + Returns + ------- + compressed_array : ndarray + The compressed array. + + Examples + -------- + >>> x = np.ma.array(np.arange(9).reshape(3, 3), mask=[[1, 0, 0], + ... [1, 0, 0], + ... [0, 0, 0]]) + >>> x + masked_array( + data=[[--, 1, 2], + [--, 4, 5], + [6, 7, 8]], + mask=[[ True, False, False], + [ True, False, False], + [False, False, False]], + fill_value=999999) + + >>> np.ma.compress_rowcols(x) + array([[7, 8]]) + >>> np.ma.compress_rowcols(x, 0) + array([[6, 7, 8]]) + >>> np.ma.compress_rowcols(x, 1) + array([[1, 2], + [4, 5], + [7, 8]]) + + """ + if asarray(x).ndim != 2: + raise NotImplementedError("compress_rowcols works for 2D arrays only.") + return compress_nd(x, axis=axis) + + +def compress_rows(a): + """ + Suppress whole rows of a 2-D array that contain masked values. + + This is equivalent to ``np.ma.compress_rowcols(a, 0)``, see + `compress_rowcols` for details. + + See Also + -------- + compress_rowcols + + """ + a = asarray(a) + if a.ndim != 2: + raise NotImplementedError("compress_rows works for 2D arrays only.") + return compress_rowcols(a, 0) + + +def compress_cols(a): + """ + Suppress whole columns of a 2-D array that contain masked values. + + This is equivalent to ``np.ma.compress_rowcols(a, 1)``, see + `compress_rowcols` for details. + + See Also + -------- + compress_rowcols + + """ + a = asarray(a) + if a.ndim != 2: + raise NotImplementedError("compress_cols works for 2D arrays only.") + return compress_rowcols(a, 1) + + +def mask_rowcols(a, axis=None): + """ + Mask rows and/or columns of a 2D array that contain masked values. + + Mask whole rows and/or columns of a 2D array that contain + masked values. The masking behavior is selected using the + `axis` parameter. + + - If `axis` is None, rows *and* columns are masked. + - If `axis` is 0, only rows are masked. + - If `axis` is 1 or -1, only columns are masked. + + Parameters + ---------- + a : array_like, MaskedArray + The array to mask. If not a MaskedArray instance (or if no array + elements are masked), the result is a MaskedArray with `mask` set + to `nomask` (False). Must be a 2D array. + axis : int, optional + Axis along which to perform the operation. If None, applies to a + flattened version of the array. + + Returns + ------- + a : MaskedArray + A modified version of the input array, masked depending on the value + of the `axis` parameter. + + Raises + ------ + NotImplementedError + If input array `a` is not 2D. + + See Also + -------- + mask_rows : Mask rows of a 2D array that contain masked values. + mask_cols : Mask cols of a 2D array that contain masked values. + masked_where : Mask where a condition is met. + + Notes + ----- + The input array's mask is modified by this function. + + Examples + -------- + >>> import numpy.ma as ma + >>> a = np.zeros((3, 3), dtype=int) + >>> a[1, 1] = 1 + >>> a + array([[0, 0, 0], + [0, 1, 0], + [0, 0, 0]]) + >>> a = ma.masked_equal(a, 1) + >>> a + masked_array( + data=[[0, 0, 0], + [0, --, 0], + [0, 0, 0]], + mask=[[False, False, False], + [False, True, False], + [False, False, False]], + fill_value=1) + >>> ma.mask_rowcols(a) + masked_array( + data=[[0, --, 0], + [--, --, --], + [0, --, 0]], + mask=[[False, True, False], + [ True, True, True], + [False, True, False]], + fill_value=1) + + """ + a = array(a, subok=False) + if a.ndim != 2: + raise NotImplementedError("mask_rowcols works for 2D arrays only.") + m = getmask(a) + # Nothing is masked: return a + if m is nomask or not m.any(): + return a + maskedval = m.nonzero() + a._mask = a._mask.copy() + if not axis: + a[np.unique(maskedval[0])] = masked + if axis in [None, 1, -1]: + a[:, np.unique(maskedval[1])] = masked + return a + + +def mask_rows(a, axis=np._NoValue): + """ + Mask rows of a 2D array that contain masked values. + + This function is a shortcut to ``mask_rowcols`` with `axis` equal to 0. + + See Also + -------- + mask_rowcols : Mask rows and/or columns of a 2D array. + masked_where : Mask where a condition is met. + + Examples + -------- + >>> import numpy.ma as ma + >>> a = np.zeros((3, 3), dtype=int) + >>> a[1, 1] = 1 + >>> a + array([[0, 0, 0], + [0, 1, 0], + [0, 0, 0]]) + >>> a = ma.masked_equal(a, 1) + >>> a + masked_array( + data=[[0, 0, 0], + [0, --, 0], + [0, 0, 0]], + mask=[[False, False, False], + [False, True, False], + [False, False, False]], + fill_value=1) + + >>> ma.mask_rows(a) + masked_array( + data=[[0, 0, 0], + [--, --, --], + [0, 0, 0]], + mask=[[False, False, False], + [ True, True, True], + [False, False, False]], + fill_value=1) + + """ + if axis is not np._NoValue: + # remove the axis argument when this deprecation expires + # NumPy 1.18.0, 2019-11-28 + warnings.warn( + "The axis argument has always been ignored, in future passing it " + "will raise TypeError", DeprecationWarning, stacklevel=2) + return mask_rowcols(a, 0) + + +def mask_cols(a, axis=np._NoValue): + """ + Mask columns of a 2D array that contain masked values. + + This function is a shortcut to ``mask_rowcols`` with `axis` equal to 1. + + See Also + -------- + mask_rowcols : Mask rows and/or columns of a 2D array. + masked_where : Mask where a condition is met. + + Examples + -------- + >>> import numpy.ma as ma + >>> a = np.zeros((3, 3), dtype=int) + >>> a[1, 1] = 1 + >>> a + array([[0, 0, 0], + [0, 1, 0], + [0, 0, 0]]) + >>> a = ma.masked_equal(a, 1) + >>> a + masked_array( + data=[[0, 0, 0], + [0, --, 0], + [0, 0, 0]], + mask=[[False, False, False], + [False, True, False], + [False, False, False]], + fill_value=1) + >>> ma.mask_cols(a) + masked_array( + data=[[0, --, 0], + [0, --, 0], + [0, --, 0]], + mask=[[False, True, False], + [False, True, False], + [False, True, False]], + fill_value=1) + + """ + if axis is not np._NoValue: + # remove the axis argument when this deprecation expires + # NumPy 1.18.0, 2019-11-28 + warnings.warn( + "The axis argument has always been ignored, in future passing it " + "will raise TypeError", DeprecationWarning, stacklevel=2) + return mask_rowcols(a, 1) + + +#####-------------------------------------------------------------------------- +#---- --- arraysetops --- +#####-------------------------------------------------------------------------- + +def ediff1d(arr, to_end=None, to_begin=None): + """ + Compute the differences between consecutive elements of an array. + + This function is the equivalent of `numpy.ediff1d` that takes masked + values into account, see `numpy.ediff1d` for details. + + See Also + -------- + numpy.ediff1d : Equivalent function for ndarrays. + + """ + arr = ma.asanyarray(arr).flat + ed = arr[1:] - arr[:-1] + arrays = [ed] + # + if to_begin is not None: + arrays.insert(0, to_begin) + if to_end is not None: + arrays.append(to_end) + # + if len(arrays) != 1: + # We'll save ourselves a copy of a potentially large array in the common + # case where neither to_begin or to_end was given. + ed = hstack(arrays) + # + return ed + + +def unique(ar1, return_index=False, return_inverse=False): + """ + Finds the unique elements of an array. + + Masked values are considered the same element (masked). The output array + is always a masked array. See `numpy.unique` for more details. + + See Also + -------- + numpy.unique : Equivalent function for ndarrays. + + Examples + -------- + >>> import numpy.ma as ma + >>> a = [1, 2, 1000, 2, 3] + >>> mask = [0, 0, 1, 0, 0] + >>> masked_a = ma.masked_array(a, mask) + >>> masked_a + masked_array(data=[1, 2, --, 2, 3], + mask=[False, False, True, False, False], + fill_value=999999) + >>> ma.unique(masked_a) + masked_array(data=[1, 2, 3, --], + mask=[False, False, False, True], + fill_value=999999) + >>> ma.unique(masked_a, return_index=True) + (masked_array(data=[1, 2, 3, --], + mask=[False, False, False, True], + fill_value=999999), array([0, 1, 4, 2])) + >>> ma.unique(masked_a, return_inverse=True) + (masked_array(data=[1, 2, 3, --], + mask=[False, False, False, True], + fill_value=999999), array([0, 1, 3, 1, 2])) + >>> ma.unique(masked_a, return_index=True, return_inverse=True) + (masked_array(data=[1, 2, 3, --], + mask=[False, False, False, True], + fill_value=999999), array([0, 1, 4, 2]), array([0, 1, 3, 1, 2])) + """ + output = np.unique(ar1, + return_index=return_index, + return_inverse=return_inverse) + if isinstance(output, tuple): + output = list(output) + output[0] = output[0].view(MaskedArray) + output = tuple(output) + else: + output = output.view(MaskedArray) + return output + + +def intersect1d(ar1, ar2, assume_unique=False): + """ + Returns the unique elements common to both arrays. + + Masked values are considered equal one to the other. + The output is always a masked array. + + See `numpy.intersect1d` for more details. + + See Also + -------- + numpy.intersect1d : Equivalent function for ndarrays. + + Examples + -------- + >>> x = np.ma.array([1, 3, 3, 3], mask=[0, 0, 0, 1]) + >>> y = np.ma.array([3, 1, 1, 1], mask=[0, 0, 0, 1]) + >>> np.ma.intersect1d(x, y) + masked_array(data=[1, 3, --], + mask=[False, False, True], + fill_value=999999) + + """ + if assume_unique: + aux = ma.concatenate((ar1, ar2)) + else: + # Might be faster than unique( intersect1d( ar1, ar2 ) )? + aux = ma.concatenate((unique(ar1), unique(ar2))) + aux.sort() + return aux[:-1][aux[1:] == aux[:-1]] + + +def setxor1d(ar1, ar2, assume_unique=False): + """ + Set exclusive-or of 1-D arrays with unique elements. + + The output is always a masked array. See `numpy.setxor1d` for more details. + + See Also + -------- + numpy.setxor1d : Equivalent function for ndarrays. + + """ + if not assume_unique: + ar1 = unique(ar1) + ar2 = unique(ar2) + + aux = ma.concatenate((ar1, ar2)) + if aux.size == 0: + return aux + aux.sort() + auxf = aux.filled() +# flag = ediff1d( aux, to_end = 1, to_begin = 1 ) == 0 + flag = ma.concatenate(([True], (auxf[1:] != auxf[:-1]), [True])) +# flag2 = ediff1d( flag ) == 0 + flag2 = (flag[1:] == flag[:-1]) + return aux[flag2] + + +def in1d(ar1, ar2, assume_unique=False, invert=False): + """ + Test whether each element of an array is also present in a second + array. + + The output is always a masked array. See `numpy.in1d` for more details. + + We recommend using :func:`isin` instead of `in1d` for new code. + + See Also + -------- + isin : Version of this function that preserves the shape of ar1. + numpy.in1d : Equivalent function for ndarrays. + + Notes + ----- + .. versionadded:: 1.4.0 + + """ + if not assume_unique: + ar1, rev_idx = unique(ar1, return_inverse=True) + ar2 = unique(ar2) + + ar = ma.concatenate((ar1, ar2)) + # We need this to be a stable sort, so always use 'mergesort' + # here. The values from the first array should always come before + # the values from the second array. + order = ar.argsort(kind='mergesort') + sar = ar[order] + if invert: + bool_ar = (sar[1:] != sar[:-1]) + else: + bool_ar = (sar[1:] == sar[:-1]) + flag = ma.concatenate((bool_ar, [invert])) + indx = order.argsort(kind='mergesort')[:len(ar1)] + + if assume_unique: + return flag[indx] + else: + return flag[indx][rev_idx] + + +def isin(element, test_elements, assume_unique=False, invert=False): + """ + Calculates `element in test_elements`, broadcasting over + `element` only. + + The output is always a masked array of the same shape as `element`. + See `numpy.isin` for more details. + + See Also + -------- + in1d : Flattened version of this function. + numpy.isin : Equivalent function for ndarrays. + + Notes + ----- + .. versionadded:: 1.13.0 + + """ + element = ma.asarray(element) + return in1d(element, test_elements, assume_unique=assume_unique, + invert=invert).reshape(element.shape) + + +def union1d(ar1, ar2): + """ + Union of two arrays. + + The output is always a masked array. See `numpy.union1d` for more details. + + See Also + -------- + numpy.union1d : Equivalent function for ndarrays. + + """ + return unique(ma.concatenate((ar1, ar2), axis=None)) + + +def setdiff1d(ar1, ar2, assume_unique=False): + """ + Set difference of 1D arrays with unique elements. + + The output is always a masked array. See `numpy.setdiff1d` for more + details. + + See Also + -------- + numpy.setdiff1d : Equivalent function for ndarrays. + + Examples + -------- + >>> x = np.ma.array([1, 2, 3, 4], mask=[0, 1, 0, 1]) + >>> np.ma.setdiff1d(x, [1, 2]) + masked_array(data=[3, --], + mask=[False, True], + fill_value=999999) + + """ + if assume_unique: + ar1 = ma.asarray(ar1).ravel() + else: + ar1 = unique(ar1) + ar2 = unique(ar2) + return ar1[in1d(ar1, ar2, assume_unique=True, invert=True)] + + +############################################################################### +# Covariance # +############################################################################### + + +def _covhelper(x, y=None, rowvar=True, allow_masked=True): + """ + Private function for the computation of covariance and correlation + coefficients. + + """ + x = ma.array(x, ndmin=2, copy=True, dtype=float) + xmask = ma.getmaskarray(x) + # Quick exit if we can't process masked data + if not allow_masked and xmask.any(): + raise ValueError("Cannot process masked data.") + # + if x.shape[0] == 1: + rowvar = True + # Make sure that rowvar is either 0 or 1 + rowvar = int(bool(rowvar)) + axis = 1 - rowvar + if rowvar: + tup = (slice(None), None) + else: + tup = (None, slice(None)) + # + if y is None: + xnotmask = np.logical_not(xmask).astype(int) + else: + y = array(y, copy=False, ndmin=2, dtype=float) + ymask = ma.getmaskarray(y) + if not allow_masked and ymask.any(): + raise ValueError("Cannot process masked data.") + if xmask.any() or ymask.any(): + if y.shape == x.shape: + # Define some common mask + common_mask = np.logical_or(xmask, ymask) + if common_mask is not nomask: + xmask = x._mask = y._mask = ymask = common_mask + x._sharedmask = False + y._sharedmask = False + x = ma.concatenate((x, y), axis) + xnotmask = np.logical_not(np.concatenate((xmask, ymask), axis)).astype(int) + x -= x.mean(axis=rowvar)[tup] + return (x, xnotmask, rowvar) + + +def cov(x, y=None, rowvar=True, bias=False, allow_masked=True, ddof=None): + """ + Estimate the covariance matrix. + + Except for the handling of missing data this function does the same as + `numpy.cov`. For more details and examples, see `numpy.cov`. + + By default, masked values are recognized as such. If `x` and `y` have the + same shape, a common mask is allocated: if ``x[i,j]`` is masked, then + ``y[i,j]`` will also be masked. + Setting `allow_masked` to False will raise an exception if values are + missing in either of the input arrays. + + Parameters + ---------- + x : array_like + A 1-D or 2-D array containing multiple variables and observations. + Each row of `x` represents a variable, and each column a single + observation of all those variables. Also see `rowvar` below. + y : array_like, optional + An additional set of variables and observations. `y` has the same + shape as `x`. + rowvar : bool, optional + If `rowvar` is True (default), then each row represents a + variable, with observations in the columns. Otherwise, the relationship + is transposed: each column represents a variable, while the rows + contain observations. + bias : bool, optional + Default normalization (False) is by ``(N-1)``, where ``N`` is the + number of observations given (unbiased estimate). If `bias` is True, + then normalization is by ``N``. This keyword can be overridden by + the keyword ``ddof`` in numpy versions >= 1.5. + allow_masked : bool, optional + If True, masked values are propagated pair-wise: if a value is masked + in `x`, the corresponding value is masked in `y`. + If False, raises a `ValueError` exception when some values are missing. + ddof : {None, int}, optional + If not ``None`` normalization is by ``(N - ddof)``, where ``N`` is + the number of observations; this overrides the value implied by + ``bias``. The default value is ``None``. + + .. versionadded:: 1.5 + + Raises + ------ + ValueError + Raised if some values are missing and `allow_masked` is False. + + See Also + -------- + numpy.cov + + """ + # Check inputs + if ddof is not None and ddof != int(ddof): + raise ValueError("ddof must be an integer") + # Set up ddof + if ddof is None: + if bias: + ddof = 0 + else: + ddof = 1 + + (x, xnotmask, rowvar) = _covhelper(x, y, rowvar, allow_masked) + if not rowvar: + fact = np.dot(xnotmask.T, xnotmask) * 1. - ddof + result = (dot(x.T, x.conj(), strict=False) / fact).squeeze() + else: + fact = np.dot(xnotmask, xnotmask.T) * 1. - ddof + result = (dot(x, x.T.conj(), strict=False) / fact).squeeze() + return result + + +def corrcoef(x, y=None, rowvar=True, bias=np._NoValue, allow_masked=True, + ddof=np._NoValue): + """ + Return Pearson product-moment correlation coefficients. + + Except for the handling of missing data this function does the same as + `numpy.corrcoef`. For more details and examples, see `numpy.corrcoef`. + + Parameters + ---------- + x : array_like + A 1-D or 2-D array containing multiple variables and observations. + Each row of `x` represents a variable, and each column a single + observation of all those variables. Also see `rowvar` below. + y : array_like, optional + An additional set of variables and observations. `y` has the same + shape as `x`. + rowvar : bool, optional + If `rowvar` is True (default), then each row represents a + variable, with observations in the columns. Otherwise, the relationship + is transposed: each column represents a variable, while the rows + contain observations. + bias : _NoValue, optional + Has no effect, do not use. + + .. deprecated:: 1.10.0 + allow_masked : bool, optional + If True, masked values are propagated pair-wise: if a value is masked + in `x`, the corresponding value is masked in `y`. + If False, raises an exception. Because `bias` is deprecated, this + argument needs to be treated as keyword only to avoid a warning. + ddof : _NoValue, optional + Has no effect, do not use. + + .. deprecated:: 1.10.0 + + See Also + -------- + numpy.corrcoef : Equivalent function in top-level NumPy module. + cov : Estimate the covariance matrix. + + Notes + ----- + This function accepts but discards arguments `bias` and `ddof`. This is + for backwards compatibility with previous versions of this function. These + arguments had no effect on the return values of the function and can be + safely ignored in this and previous versions of numpy. + """ + msg = 'bias and ddof have no effect and are deprecated' + if bias is not np._NoValue or ddof is not np._NoValue: + # 2015-03-15, 1.10 + warnings.warn(msg, DeprecationWarning, stacklevel=2) + # Get the data + (x, xnotmask, rowvar) = _covhelper(x, y, rowvar, allow_masked) + # Compute the covariance matrix + if not rowvar: + fact = np.dot(xnotmask.T, xnotmask) * 1. + c = (dot(x.T, x.conj(), strict=False) / fact).squeeze() + else: + fact = np.dot(xnotmask, xnotmask.T) * 1. + c = (dot(x, x.T.conj(), strict=False) / fact).squeeze() + # Check whether we have a scalar + try: + diag = ma.diagonal(c) + except ValueError: + return 1 + # + if xnotmask.all(): + _denom = ma.sqrt(ma.multiply.outer(diag, diag)) + else: + _denom = diagflat(diag) + _denom._sharedmask = False # We know return is always a copy + n = x.shape[1 - rowvar] + if rowvar: + for i in range(n - 1): + for j in range(i + 1, n): + _x = mask_cols(vstack((x[i], x[j]))).var(axis=1) + _denom[i, j] = _denom[j, i] = ma.sqrt(ma.multiply.reduce(_x)) + else: + for i in range(n - 1): + for j in range(i + 1, n): + _x = mask_cols( + vstack((x[:, i], x[:, j]))).var(axis=1) + _denom[i, j] = _denom[j, i] = ma.sqrt(ma.multiply.reduce(_x)) + return c / _denom + +#####-------------------------------------------------------------------------- +#---- --- Concatenation helpers --- +#####-------------------------------------------------------------------------- + +class MAxisConcatenator(AxisConcatenator): + """ + Translate slice objects to concatenation along an axis. + + For documentation on usage, see `mr_class`. + + See Also + -------- + mr_class + + """ + concatenate = staticmethod(concatenate) + + @classmethod + def makemat(cls, arr): + # There used to be a view as np.matrix here, but we may eventually + # deprecate that class. In preparation, we use the unmasked version + # to construct the matrix (with copy=False for backwards compatibility + # with the .view) + data = super().makemat(arr.data, copy=False) + return array(data, mask=arr.mask) + + def __getitem__(self, key): + # matrix builder syntax, like 'a, b; c, d' + if isinstance(key, str): + raise MAError("Unavailable for masked array.") + + return super().__getitem__(key) + + +class mr_class(MAxisConcatenator): + """ + Translate slice objects to concatenation along the first axis. + + This is the masked array version of `lib.index_tricks.RClass`. + + See Also + -------- + lib.index_tricks.RClass + + Examples + -------- + >>> np.ma.mr_[np.ma.array([1,2,3]), 0, 0, np.ma.array([4,5,6])] + masked_array(data=[1, 2, 3, ..., 4, 5, 6], + mask=False, + fill_value=999999) + + """ + def __init__(self): + MAxisConcatenator.__init__(self, 0) + +mr_ = mr_class() + + +#####-------------------------------------------------------------------------- +#---- Find unmasked data --- +#####-------------------------------------------------------------------------- + +def ndenumerate(a, compressed=True): + """ + Multidimensional index iterator. + + Return an iterator yielding pairs of array coordinates and values, + skipping elements that are masked. With `compressed=False`, + `ma.masked` is yielded as the value of masked elements. This + behavior differs from that of `numpy.ndenumerate`, which yields the + value of the underlying data array. + + Notes + ----- + .. versionadded:: 1.23.0 + + Parameters + ---------- + a : array_like + An array with (possibly) masked elements. + compressed : bool, optional + If True (default), masked elements are skipped. + + See Also + -------- + numpy.ndenumerate : Equivalent function ignoring any mask. + + Examples + -------- + >>> a = np.ma.arange(9).reshape((3, 3)) + >>> a[1, 0] = np.ma.masked + >>> a[1, 2] = np.ma.masked + >>> a[2, 1] = np.ma.masked + >>> a + masked_array( + data=[[0, 1, 2], + [--, 4, --], + [6, --, 8]], + mask=[[False, False, False], + [ True, False, True], + [False, True, False]], + fill_value=999999) + >>> for index, x in np.ma.ndenumerate(a): + ... print(index, x) + (0, 0) 0 + (0, 1) 1 + (0, 2) 2 + (1, 1) 4 + (2, 0) 6 + (2, 2) 8 + + >>> for index, x in np.ma.ndenumerate(a, compressed=False): + ... print(index, x) + (0, 0) 0 + (0, 1) 1 + (0, 2) 2 + (1, 0) -- + (1, 1) 4 + (1, 2) -- + (2, 0) 6 + (2, 1) -- + (2, 2) 8 + """ + for it, mask in zip(np.ndenumerate(a), getmaskarray(a).flat): + if not mask: + yield it + elif not compressed: + yield it[0], masked + + +def flatnotmasked_edges(a): + """ + Find the indices of the first and last unmasked values. + + Expects a 1-D `MaskedArray`, returns None if all values are masked. + + Parameters + ---------- + a : array_like + Input 1-D `MaskedArray` + + Returns + ------- + edges : ndarray or None + The indices of first and last non-masked value in the array. + Returns None if all values are masked. + + See Also + -------- + flatnotmasked_contiguous, notmasked_contiguous, notmasked_edges + clump_masked, clump_unmasked + + Notes + ----- + Only accepts 1-D arrays. + + Examples + -------- + >>> a = np.ma.arange(10) + >>> np.ma.flatnotmasked_edges(a) + array([0, 9]) + + >>> mask = (a < 3) | (a > 8) | (a == 5) + >>> a[mask] = np.ma.masked + >>> np.array(a[~a.mask]) + array([3, 4, 6, 7, 8]) + + >>> np.ma.flatnotmasked_edges(a) + array([3, 8]) + + >>> a[:] = np.ma.masked + >>> print(np.ma.flatnotmasked_edges(a)) + None + + """ + m = getmask(a) + if m is nomask or not np.any(m): + return np.array([0, a.size - 1]) + unmasked = np.flatnonzero(~m) + if len(unmasked) > 0: + return unmasked[[0, -1]] + else: + return None + + +def notmasked_edges(a, axis=None): + """ + Find the indices of the first and last unmasked values along an axis. + + If all values are masked, return None. Otherwise, return a list + of two tuples, corresponding to the indices of the first and last + unmasked values respectively. + + Parameters + ---------- + a : array_like + The input array. + axis : int, optional + Axis along which to perform the operation. + If None (default), applies to a flattened version of the array. + + Returns + ------- + edges : ndarray or list + An array of start and end indexes if there are any masked data in + the array. If there are no masked data in the array, `edges` is a + list of the first and last index. + + See Also + -------- + flatnotmasked_contiguous, flatnotmasked_edges, notmasked_contiguous + clump_masked, clump_unmasked + + Examples + -------- + >>> a = np.arange(9).reshape((3, 3)) + >>> m = np.zeros_like(a) + >>> m[1:, 1:] = 1 + + >>> am = np.ma.array(a, mask=m) + >>> np.array(am[~am.mask]) + array([0, 1, 2, 3, 6]) + + >>> np.ma.notmasked_edges(am) + array([0, 6]) + + """ + a = asarray(a) + if axis is None or a.ndim == 1: + return flatnotmasked_edges(a) + m = getmaskarray(a) + idx = array(np.indices(a.shape), mask=np.asarray([m] * a.ndim)) + return [tuple([idx[i].min(axis).compressed() for i in range(a.ndim)]), + tuple([idx[i].max(axis).compressed() for i in range(a.ndim)]), ] + + +def flatnotmasked_contiguous(a): + """ + Find contiguous unmasked data in a masked array. + + Parameters + ---------- + a : array_like + The input array. + + Returns + ------- + slice_list : list + A sorted sequence of `slice` objects (start index, end index). + + .. versionchanged:: 1.15.0 + Now returns an empty list instead of None for a fully masked array + + See Also + -------- + flatnotmasked_edges, notmasked_contiguous, notmasked_edges + clump_masked, clump_unmasked + + Notes + ----- + Only accepts 2-D arrays at most. + + Examples + -------- + >>> a = np.ma.arange(10) + >>> np.ma.flatnotmasked_contiguous(a) + [slice(0, 10, None)] + + >>> mask = (a < 3) | (a > 8) | (a == 5) + >>> a[mask] = np.ma.masked + >>> np.array(a[~a.mask]) + array([3, 4, 6, 7, 8]) + + >>> np.ma.flatnotmasked_contiguous(a) + [slice(3, 5, None), slice(6, 9, None)] + >>> a[:] = np.ma.masked + >>> np.ma.flatnotmasked_contiguous(a) + [] + + """ + m = getmask(a) + if m is nomask: + return [slice(0, a.size)] + i = 0 + result = [] + for (k, g) in itertools.groupby(m.ravel()): + n = len(list(g)) + if not k: + result.append(slice(i, i + n)) + i += n + return result + + +def notmasked_contiguous(a, axis=None): + """ + Find contiguous unmasked data in a masked array along the given axis. + + Parameters + ---------- + a : array_like + The input array. + axis : int, optional + Axis along which to perform the operation. + If None (default), applies to a flattened version of the array, and this + is the same as `flatnotmasked_contiguous`. + + Returns + ------- + endpoints : list + A list of slices (start and end indexes) of unmasked indexes + in the array. + + If the input is 2d and axis is specified, the result is a list of lists. + + See Also + -------- + flatnotmasked_edges, flatnotmasked_contiguous, notmasked_edges + clump_masked, clump_unmasked + + Notes + ----- + Only accepts 2-D arrays at most. + + Examples + -------- + >>> a = np.arange(12).reshape((3, 4)) + >>> mask = np.zeros_like(a) + >>> mask[1:, :-1] = 1; mask[0, 1] = 1; mask[-1, 0] = 0 + >>> ma = np.ma.array(a, mask=mask) + >>> ma + masked_array( + data=[[0, --, 2, 3], + [--, --, --, 7], + [8, --, --, 11]], + mask=[[False, True, False, False], + [ True, True, True, False], + [False, True, True, False]], + fill_value=999999) + >>> np.array(ma[~ma.mask]) + array([ 0, 2, 3, 7, 8, 11]) + + >>> np.ma.notmasked_contiguous(ma) + [slice(0, 1, None), slice(2, 4, None), slice(7, 9, None), slice(11, 12, None)] + + >>> np.ma.notmasked_contiguous(ma, axis=0) + [[slice(0, 1, None), slice(2, 3, None)], [], [slice(0, 1, None)], [slice(0, 3, None)]] + + >>> np.ma.notmasked_contiguous(ma, axis=1) + [[slice(0, 1, None), slice(2, 4, None)], [slice(3, 4, None)], [slice(0, 1, None), slice(3, 4, None)]] + + """ + a = asarray(a) + nd = a.ndim + if nd > 2: + raise NotImplementedError("Currently limited to at most 2D array.") + if axis is None or nd == 1: + return flatnotmasked_contiguous(a) + # + result = [] + # + other = (axis + 1) % 2 + idx = [0, 0] + idx[axis] = slice(None, None) + # + for i in range(a.shape[other]): + idx[other] = i + result.append(flatnotmasked_contiguous(a[tuple(idx)])) + return result + + +def _ezclump(mask): + """ + Finds the clumps (groups of data with the same values) for a 1D bool array. + + Returns a series of slices. + """ + if mask.ndim > 1: + mask = mask.ravel() + idx = (mask[1:] ^ mask[:-1]).nonzero() + idx = idx[0] + 1 + + if mask[0]: + if len(idx) == 0: + return [slice(0, mask.size)] + + r = [slice(0, idx[0])] + r.extend((slice(left, right) + for left, right in zip(idx[1:-1:2], idx[2::2]))) + else: + if len(idx) == 0: + return [] + + r = [slice(left, right) for left, right in zip(idx[:-1:2], idx[1::2])] + + if mask[-1]: + r.append(slice(idx[-1], mask.size)) + return r + + +def clump_unmasked(a): + """ + Return list of slices corresponding to the unmasked clumps of a 1-D array. + (A "clump" is defined as a contiguous region of the array). + + Parameters + ---------- + a : ndarray + A one-dimensional masked array. + + Returns + ------- + slices : list of slice + The list of slices, one for each continuous region of unmasked + elements in `a`. + + Notes + ----- + .. versionadded:: 1.4.0 + + See Also + -------- + flatnotmasked_edges, flatnotmasked_contiguous, notmasked_edges + notmasked_contiguous, clump_masked + + Examples + -------- + >>> a = np.ma.masked_array(np.arange(10)) + >>> a[[0, 1, 2, 6, 8, 9]] = np.ma.masked + >>> np.ma.clump_unmasked(a) + [slice(3, 6, None), slice(7, 8, None)] + + """ + mask = getattr(a, '_mask', nomask) + if mask is nomask: + return [slice(0, a.size)] + return _ezclump(~mask) + + +def clump_masked(a): + """ + Returns a list of slices corresponding to the masked clumps of a 1-D array. + (A "clump" is defined as a contiguous region of the array). + + Parameters + ---------- + a : ndarray + A one-dimensional masked array. + + Returns + ------- + slices : list of slice + The list of slices, one for each continuous region of masked elements + in `a`. + + Notes + ----- + .. versionadded:: 1.4.0 + + See Also + -------- + flatnotmasked_edges, flatnotmasked_contiguous, notmasked_edges + notmasked_contiguous, clump_unmasked + + Examples + -------- + >>> a = np.ma.masked_array(np.arange(10)) + >>> a[[0, 1, 2, 6, 8, 9]] = np.ma.masked + >>> np.ma.clump_masked(a) + [slice(0, 3, None), slice(6, 7, None), slice(8, 10, None)] + + """ + mask = ma.getmask(a) + if mask is nomask: + return [] + return _ezclump(mask) + + +############################################################################### +# Polynomial fit # +############################################################################### + + +def vander(x, n=None): + """ + Masked values in the input array result in rows of zeros. + + """ + _vander = np.vander(x, n) + m = getmask(x) + if m is not nomask: + _vander[m] = 0 + return _vander + +vander.__doc__ = ma.doc_note(np.vander.__doc__, vander.__doc__) + + +def polyfit(x, y, deg, rcond=None, full=False, w=None, cov=False): + """ + Any masked values in x is propagated in y, and vice-versa. + + """ + x = asarray(x) + y = asarray(y) + + m = getmask(x) + if y.ndim == 1: + m = mask_or(m, getmask(y)) + elif y.ndim == 2: + my = getmask(mask_rows(y)) + if my is not nomask: + m = mask_or(m, my[:, 0]) + else: + raise TypeError("Expected a 1D or 2D array for y!") + + if w is not None: + w = asarray(w) + if w.ndim != 1: + raise TypeError("expected a 1-d array for weights") + if w.shape[0] != y.shape[0]: + raise TypeError("expected w and y to have the same length") + m = mask_or(m, getmask(w)) + + if m is not nomask: + not_m = ~m + if w is not None: + w = w[not_m] + return np.polyfit(x[not_m], y[not_m], deg, rcond, full, w, cov) + else: + return np.polyfit(x, y, deg, rcond, full, w, cov) + +polyfit.__doc__ = ma.doc_note(np.polyfit.__doc__, polyfit.__doc__) diff --git a/lib/python3.12/site-packages/numpy/ma/extras.pyi b/lib/python3.12/site-packages/numpy/ma/extras.pyi new file mode 100644 index 0000000000000000000000000000000000000000..56228b927080a3963159206a9afc830d6d7335cc --- /dev/null +++ b/lib/python3.12/site-packages/numpy/ma/extras.pyi @@ -0,0 +1,85 @@ +from typing import Any +from numpy.lib.index_tricks import AxisConcatenator + +from numpy.ma.core import ( + dot as dot, + mask_rowcols as mask_rowcols, +) + +__all__: list[str] + +def count_masked(arr, axis=...): ... +def masked_all(shape, dtype = ...): ... +def masked_all_like(arr): ... + +class _fromnxfunction: + __name__: Any + __doc__: Any + def __init__(self, funcname): ... + def getdoc(self): ... + def __call__(self, *args, **params): ... + +class _fromnxfunction_single(_fromnxfunction): + def __call__(self, x, *args, **params): ... + +class _fromnxfunction_seq(_fromnxfunction): + def __call__(self, x, *args, **params): ... + +class _fromnxfunction_allargs(_fromnxfunction): + def __call__(self, *args, **params): ... + +atleast_1d: _fromnxfunction_allargs +atleast_2d: _fromnxfunction_allargs +atleast_3d: _fromnxfunction_allargs + +vstack: _fromnxfunction_seq +row_stack: _fromnxfunction_seq +hstack: _fromnxfunction_seq +column_stack: _fromnxfunction_seq +dstack: _fromnxfunction_seq +stack: _fromnxfunction_seq + +hsplit: _fromnxfunction_single +diagflat: _fromnxfunction_single + +def apply_along_axis(func1d, axis, arr, *args, **kwargs): ... +def apply_over_axes(func, a, axes): ... +def average(a, axis=..., weights=..., returned=..., keepdims=...): ... +def median(a, axis=..., out=..., overwrite_input=..., keepdims=...): ... +def compress_nd(x, axis=...): ... +def compress_rowcols(x, axis=...): ... +def compress_rows(a): ... +def compress_cols(a): ... +def mask_rows(a, axis = ...): ... +def mask_cols(a, axis = ...): ... +def ediff1d(arr, to_end=..., to_begin=...): ... +def unique(ar1, return_index=..., return_inverse=...): ... +def intersect1d(ar1, ar2, assume_unique=...): ... +def setxor1d(ar1, ar2, assume_unique=...): ... +def in1d(ar1, ar2, assume_unique=..., invert=...): ... +def isin(element, test_elements, assume_unique=..., invert=...): ... +def union1d(ar1, ar2): ... +def setdiff1d(ar1, ar2, assume_unique=...): ... +def cov(x, y=..., rowvar=..., bias=..., allow_masked=..., ddof=...): ... +def corrcoef(x, y=..., rowvar=..., bias = ..., allow_masked=..., ddof = ...): ... + +class MAxisConcatenator(AxisConcatenator): + concatenate: Any + @classmethod + def makemat(cls, arr): ... + def __getitem__(self, key): ... + +class mr_class(MAxisConcatenator): + def __init__(self): ... + +mr_: mr_class + +def ndenumerate(a, compressed=...): ... +def flatnotmasked_edges(a): ... +def notmasked_edges(a, axis=...): ... +def flatnotmasked_contiguous(a): ... +def notmasked_contiguous(a, axis=...): ... +def clump_unmasked(a): ... +def clump_masked(a): ... +def vander(x, n=...): ... +def polyfit(x, y, deg, rcond=..., full=..., w=..., cov=...): ... diff --git a/lib/python3.12/site-packages/numpy/ma/mrecords.py b/lib/python3.12/site-packages/numpy/ma/mrecords.py new file mode 100644 index 0000000000000000000000000000000000000000..1e8103bcf63271a51122dd90fd1ba6f4c722502c --- /dev/null +++ b/lib/python3.12/site-packages/numpy/ma/mrecords.py @@ -0,0 +1,783 @@ +""":mod:`numpy.ma..mrecords` + +Defines the equivalent of :class:`numpy.recarrays` for masked arrays, +where fields can be accessed as attributes. +Note that :class:`numpy.ma.MaskedArray` already supports structured datatypes +and the masking of individual fields. + +.. moduleauthor:: Pierre Gerard-Marchant + +""" +# We should make sure that no field is called '_mask','mask','_fieldmask', +# or whatever restricted keywords. An idea would be to no bother in the +# first place, and then rename the invalid fields with a trailing +# underscore. Maybe we could just overload the parser function ? + +from numpy.ma import ( + MAError, MaskedArray, masked, nomask, masked_array, getdata, + getmaskarray, filled +) +import numpy.ma as ma +import warnings + +import numpy as np +from numpy import ( + bool_, dtype, ndarray, recarray, array as narray +) +from numpy.core.records import ( + fromarrays as recfromarrays, fromrecords as recfromrecords +) + +_byteorderconv = np.core.records._byteorderconv + + +_check_fill_value = ma.core._check_fill_value + + +__all__ = [ + 'MaskedRecords', 'mrecarray', 'fromarrays', 'fromrecords', + 'fromtextfile', 'addfield', +] + +reserved_fields = ['_data', '_mask', '_fieldmask', 'dtype'] + + +def _checknames(descr, names=None): + """ + Checks that field names ``descr`` are not reserved keywords. + + If this is the case, a default 'f%i' is substituted. If the argument + `names` is not None, updates the field names to valid names. + + """ + ndescr = len(descr) + default_names = ['f%i' % i for i in range(ndescr)] + if names is None: + new_names = default_names + else: + if isinstance(names, (tuple, list)): + new_names = names + elif isinstance(names, str): + new_names = names.split(',') + else: + raise NameError(f'illegal input names {names!r}') + nnames = len(new_names) + if nnames < ndescr: + new_names += default_names[nnames:] + ndescr = [] + for (n, d, t) in zip(new_names, default_names, descr.descr): + if n in reserved_fields: + if t[0] in reserved_fields: + ndescr.append((d, t[1])) + else: + ndescr.append(t) + else: + ndescr.append((n, t[1])) + return np.dtype(ndescr) + + +def _get_fieldmask(self): + mdescr = [(n, '|b1') for n in self.dtype.names] + fdmask = np.empty(self.shape, dtype=mdescr) + fdmask.flat = tuple([False] * len(mdescr)) + return fdmask + + +class MaskedRecords(MaskedArray): + """ + + Attributes + ---------- + _data : recarray + Underlying data, as a record array. + _mask : boolean array + Mask of the records. A record is masked when all its fields are + masked. + _fieldmask : boolean recarray + Record array of booleans, setting the mask of each individual field + of each record. + _fill_value : record + Filling values for each field. + + """ + + def __new__(cls, shape, dtype=None, buf=None, offset=0, strides=None, + formats=None, names=None, titles=None, + byteorder=None, aligned=False, + mask=nomask, hard_mask=False, fill_value=None, keep_mask=True, + copy=False, + **options): + + self = recarray.__new__(cls, shape, dtype=dtype, buf=buf, offset=offset, + strides=strides, formats=formats, names=names, + titles=titles, byteorder=byteorder, + aligned=aligned,) + + mdtype = ma.make_mask_descr(self.dtype) + if mask is nomask or not np.size(mask): + if not keep_mask: + self._mask = tuple([False] * len(mdtype)) + else: + mask = np.array(mask, copy=copy) + if mask.shape != self.shape: + (nd, nm) = (self.size, mask.size) + if nm == 1: + mask = np.resize(mask, self.shape) + elif nm == nd: + mask = np.reshape(mask, self.shape) + else: + msg = "Mask and data not compatible: data size is %i, " + \ + "mask size is %i." + raise MAError(msg % (nd, nm)) + if not keep_mask: + self.__setmask__(mask) + self._sharedmask = True + else: + if mask.dtype == mdtype: + _mask = mask + else: + _mask = np.array([tuple([m] * len(mdtype)) for m in mask], + dtype=mdtype) + self._mask = _mask + return self + + def __array_finalize__(self, obj): + # Make sure we have a _fieldmask by default + _mask = getattr(obj, '_mask', None) + if _mask is None: + objmask = getattr(obj, '_mask', nomask) + _dtype = ndarray.__getattribute__(self, 'dtype') + if objmask is nomask: + _mask = ma.make_mask_none(self.shape, dtype=_dtype) + else: + mdescr = ma.make_mask_descr(_dtype) + _mask = narray([tuple([m] * len(mdescr)) for m in objmask], + dtype=mdescr).view(recarray) + # Update some of the attributes + _dict = self.__dict__ + _dict.update(_mask=_mask) + self._update_from(obj) + if _dict['_baseclass'] == ndarray: + _dict['_baseclass'] = recarray + return + + @property + def _data(self): + """ + Returns the data as a recarray. + + """ + return ndarray.view(self, recarray) + + @property + def _fieldmask(self): + """ + Alias to mask. + + """ + return self._mask + + def __len__(self): + """ + Returns the length + + """ + # We have more than one record + if self.ndim: + return len(self._data) + # We have only one record: return the nb of fields + return len(self.dtype) + + def __getattribute__(self, attr): + try: + return object.__getattribute__(self, attr) + except AttributeError: + # attr must be a fieldname + pass + fielddict = ndarray.__getattribute__(self, 'dtype').fields + try: + res = fielddict[attr][:2] + except (TypeError, KeyError) as e: + raise AttributeError( + f'record array has no attribute {attr}') from e + # So far, so good + _localdict = ndarray.__getattribute__(self, '__dict__') + _data = ndarray.view(self, _localdict['_baseclass']) + obj = _data.getfield(*res) + if obj.dtype.names is not None: + raise NotImplementedError("MaskedRecords is currently limited to" + "simple records.") + # Get some special attributes + # Reset the object's mask + hasmasked = False + _mask = _localdict.get('_mask', None) + if _mask is not None: + try: + _mask = _mask[attr] + except IndexError: + # Couldn't find a mask: use the default (nomask) + pass + tp_len = len(_mask.dtype) + hasmasked = _mask.view((bool, ((tp_len,) if tp_len else ()))).any() + if (obj.shape or hasmasked): + obj = obj.view(MaskedArray) + obj._baseclass = ndarray + obj._isfield = True + obj._mask = _mask + # Reset the field values + _fill_value = _localdict.get('_fill_value', None) + if _fill_value is not None: + try: + obj._fill_value = _fill_value[attr] + except ValueError: + obj._fill_value = None + else: + obj = obj.item() + return obj + + def __setattr__(self, attr, val): + """ + Sets the attribute attr to the value val. + + """ + # Should we call __setmask__ first ? + if attr in ['mask', 'fieldmask']: + self.__setmask__(val) + return + # Create a shortcut (so that we don't have to call getattr all the time) + _localdict = object.__getattribute__(self, '__dict__') + # Check whether we're creating a new field + newattr = attr not in _localdict + try: + # Is attr a generic attribute ? + ret = object.__setattr__(self, attr, val) + except Exception: + # Not a generic attribute: exit if it's not a valid field + fielddict = ndarray.__getattribute__(self, 'dtype').fields or {} + optinfo = ndarray.__getattribute__(self, '_optinfo') or {} + if not (attr in fielddict or attr in optinfo): + raise + else: + # Get the list of names + fielddict = ndarray.__getattribute__(self, 'dtype').fields or {} + # Check the attribute + if attr not in fielddict: + return ret + if newattr: + # We just added this one or this setattr worked on an + # internal attribute. + try: + object.__delattr__(self, attr) + except Exception: + return ret + # Let's try to set the field + try: + res = fielddict[attr][:2] + except (TypeError, KeyError) as e: + raise AttributeError( + f'record array has no attribute {attr}') from e + + if val is masked: + _fill_value = _localdict['_fill_value'] + if _fill_value is not None: + dval = _localdict['_fill_value'][attr] + else: + dval = val + mval = True + else: + dval = filled(val) + mval = getmaskarray(val) + obj = ndarray.__getattribute__(self, '_data').setfield(dval, *res) + _localdict['_mask'].__setitem__(attr, mval) + return obj + + def __getitem__(self, indx): + """ + Returns all the fields sharing the same fieldname base. + + The fieldname base is either `_data` or `_mask`. + + """ + _localdict = self.__dict__ + _mask = ndarray.__getattribute__(self, '_mask') + _data = ndarray.view(self, _localdict['_baseclass']) + # We want a field + if isinstance(indx, str): + # Make sure _sharedmask is True to propagate back to _fieldmask + # Don't use _set_mask, there are some copies being made that + # break propagation Don't force the mask to nomask, that wreaks + # easy masking + obj = _data[indx].view(MaskedArray) + obj._mask = _mask[indx] + obj._sharedmask = True + fval = _localdict['_fill_value'] + if fval is not None: + obj._fill_value = fval[indx] + # Force to masked if the mask is True + if not obj.ndim and obj._mask: + return masked + return obj + # We want some elements. + # First, the data. + obj = np.array(_data[indx], copy=False).view(mrecarray) + obj._mask = np.array(_mask[indx], copy=False).view(recarray) + return obj + + def __setitem__(self, indx, value): + """ + Sets the given record to value. + + """ + MaskedArray.__setitem__(self, indx, value) + if isinstance(indx, str): + self._mask[indx] = ma.getmaskarray(value) + + def __str__(self): + """ + Calculates the string representation. + + """ + if self.size > 1: + mstr = [f"({','.join([str(i) for i in s])})" + for s in zip(*[getattr(self, f) for f in self.dtype.names])] + return f"[{', '.join(mstr)}]" + else: + mstr = [f"{','.join([str(i) for i in s])}" + for s in zip([getattr(self, f) for f in self.dtype.names])] + return f"({', '.join(mstr)})" + + def __repr__(self): + """ + Calculates the repr representation. + + """ + _names = self.dtype.names + fmt = "%%%is : %%s" % (max([len(n) for n in _names]) + 4,) + reprstr = [fmt % (f, getattr(self, f)) for f in self.dtype.names] + reprstr.insert(0, 'masked_records(') + reprstr.extend([fmt % (' fill_value', self.fill_value), + ' )']) + return str("\n".join(reprstr)) + + def view(self, dtype=None, type=None): + """ + Returns a view of the mrecarray. + + """ + # OK, basic copy-paste from MaskedArray.view. + if dtype is None: + if type is None: + output = ndarray.view(self) + else: + output = ndarray.view(self, type) + # Here again. + elif type is None: + try: + if issubclass(dtype, ndarray): + output = ndarray.view(self, dtype) + else: + output = ndarray.view(self, dtype) + # OK, there's the change + except TypeError: + dtype = np.dtype(dtype) + # we need to revert to MaskedArray, but keeping the possibility + # of subclasses (eg, TimeSeriesRecords), so we'll force a type + # set to the first parent + if dtype.fields is None: + basetype = self.__class__.__bases__[0] + output = self.__array__().view(dtype, basetype) + output._update_from(self) + else: + output = ndarray.view(self, dtype) + output._fill_value = None + else: + output = ndarray.view(self, dtype, type) + # Update the mask, just like in MaskedArray.view + if (getattr(output, '_mask', nomask) is not nomask): + mdtype = ma.make_mask_descr(output.dtype) + output._mask = self._mask.view(mdtype, ndarray) + output._mask.shape = output.shape + return output + + def harden_mask(self): + """ + Forces the mask to hard. + + """ + self._hardmask = True + + def soften_mask(self): + """ + Forces the mask to soft + + """ + self._hardmask = False + + def copy(self): + """ + Returns a copy of the masked record. + + """ + copied = self._data.copy().view(type(self)) + copied._mask = self._mask.copy() + return copied + + def tolist(self, fill_value=None): + """ + Return the data portion of the array as a list. + + Data items are converted to the nearest compatible Python type. + Masked values are converted to fill_value. If fill_value is None, + the corresponding entries in the output list will be ``None``. + + """ + if fill_value is not None: + return self.filled(fill_value).tolist() + result = narray(self.filled().tolist(), dtype=object) + mask = narray(self._mask.tolist()) + result[mask] = None + return result.tolist() + + def __getstate__(self): + """Return the internal state of the masked array. + + This is for pickling. + + """ + state = (1, + self.shape, + self.dtype, + self.flags.fnc, + self._data.tobytes(), + self._mask.tobytes(), + self._fill_value, + ) + return state + + def __setstate__(self, state): + """ + Restore the internal state of the masked array. + + This is for pickling. ``state`` is typically the output of the + ``__getstate__`` output, and is a 5-tuple: + + - class name + - a tuple giving the shape of the data + - a typecode for the data + - a binary string for the data + - a binary string for the mask. + + """ + (ver, shp, typ, isf, raw, msk, flv) = state + ndarray.__setstate__(self, (shp, typ, isf, raw)) + mdtype = dtype([(k, bool_) for (k, _) in self.dtype.descr]) + self.__dict__['_mask'].__setstate__((shp, mdtype, isf, msk)) + self.fill_value = flv + + def __reduce__(self): + """ + Return a 3-tuple for pickling a MaskedArray. + + """ + return (_mrreconstruct, + (self.__class__, self._baseclass, (0,), 'b',), + self.__getstate__()) + + +def _mrreconstruct(subtype, baseclass, baseshape, basetype,): + """ + Build a new MaskedArray from the information stored in a pickle. + + """ + _data = ndarray.__new__(baseclass, baseshape, basetype).view(subtype) + _mask = ndarray.__new__(ndarray, baseshape, 'b1') + return subtype.__new__(subtype, _data, mask=_mask, dtype=basetype,) + +mrecarray = MaskedRecords + + +############################################################################### +# Constructors # +############################################################################### + + +def fromarrays(arraylist, dtype=None, shape=None, formats=None, + names=None, titles=None, aligned=False, byteorder=None, + fill_value=None): + """ + Creates a mrecarray from a (flat) list of masked arrays. + + Parameters + ---------- + arraylist : sequence + A list of (masked) arrays. Each element of the sequence is first converted + to a masked array if needed. If a 2D array is passed as argument, it is + processed line by line + dtype : {None, dtype}, optional + Data type descriptor. + shape : {None, integer}, optional + Number of records. If None, shape is defined from the shape of the + first array in the list. + formats : {None, sequence}, optional + Sequence of formats for each individual field. If None, the formats will + be autodetected by inspecting the fields and selecting the highest dtype + possible. + names : {None, sequence}, optional + Sequence of the names of each field. + fill_value : {None, sequence}, optional + Sequence of data to be used as filling values. + + Notes + ----- + Lists of tuples should be preferred over lists of lists for faster processing. + + """ + datalist = [getdata(x) for x in arraylist] + masklist = [np.atleast_1d(getmaskarray(x)) for x in arraylist] + _array = recfromarrays(datalist, + dtype=dtype, shape=shape, formats=formats, + names=names, titles=titles, aligned=aligned, + byteorder=byteorder).view(mrecarray) + _array._mask.flat = list(zip(*masklist)) + if fill_value is not None: + _array.fill_value = fill_value + return _array + + +def fromrecords(reclist, dtype=None, shape=None, formats=None, names=None, + titles=None, aligned=False, byteorder=None, + fill_value=None, mask=nomask): + """ + Creates a MaskedRecords from a list of records. + + Parameters + ---------- + reclist : sequence + A list of records. Each element of the sequence is first converted + to a masked array if needed. If a 2D array is passed as argument, it is + processed line by line + dtype : {None, dtype}, optional + Data type descriptor. + shape : {None,int}, optional + Number of records. If None, ``shape`` is defined from the shape of the + first array in the list. + formats : {None, sequence}, optional + Sequence of formats for each individual field. If None, the formats will + be autodetected by inspecting the fields and selecting the highest dtype + possible. + names : {None, sequence}, optional + Sequence of the names of each field. + fill_value : {None, sequence}, optional + Sequence of data to be used as filling values. + mask : {nomask, sequence}, optional. + External mask to apply on the data. + + Notes + ----- + Lists of tuples should be preferred over lists of lists for faster processing. + + """ + # Grab the initial _fieldmask, if needed: + _mask = getattr(reclist, '_mask', None) + # Get the list of records. + if isinstance(reclist, ndarray): + # Make sure we don't have some hidden mask + if isinstance(reclist, MaskedArray): + reclist = reclist.filled().view(ndarray) + # Grab the initial dtype, just in case + if dtype is None: + dtype = reclist.dtype + reclist = reclist.tolist() + mrec = recfromrecords(reclist, dtype=dtype, shape=shape, formats=formats, + names=names, titles=titles, + aligned=aligned, byteorder=byteorder).view(mrecarray) + # Set the fill_value if needed + if fill_value is not None: + mrec.fill_value = fill_value + # Now, let's deal w/ the mask + if mask is not nomask: + mask = np.array(mask, copy=False) + maskrecordlength = len(mask.dtype) + if maskrecordlength: + mrec._mask.flat = mask + elif mask.ndim == 2: + mrec._mask.flat = [tuple(m) for m in mask] + else: + mrec.__setmask__(mask) + if _mask is not None: + mrec._mask[:] = _mask + return mrec + + +def _guessvartypes(arr): + """ + Tries to guess the dtypes of the str_ ndarray `arr`. + + Guesses by testing element-wise conversion. Returns a list of dtypes. + The array is first converted to ndarray. If the array is 2D, the test + is performed on the first line. An exception is raised if the file is + 3D or more. + + """ + vartypes = [] + arr = np.asarray(arr) + if arr.ndim == 2: + arr = arr[0] + elif arr.ndim > 2: + raise ValueError("The array should be 2D at most!") + # Start the conversion loop. + for f in arr: + try: + int(f) + except (ValueError, TypeError): + try: + float(f) + except (ValueError, TypeError): + try: + complex(f) + except (ValueError, TypeError): + vartypes.append(arr.dtype) + else: + vartypes.append(np.dtype(complex)) + else: + vartypes.append(np.dtype(float)) + else: + vartypes.append(np.dtype(int)) + return vartypes + + +def openfile(fname): + """ + Opens the file handle of file `fname`. + + """ + # A file handle + if hasattr(fname, 'readline'): + return fname + # Try to open the file and guess its type + try: + f = open(fname) + except FileNotFoundError as e: + raise FileNotFoundError(f"No such file: '{fname}'") from e + if f.readline()[:2] != "\\x": + f.seek(0, 0) + return f + f.close() + raise NotImplementedError("Wow, binary file") + + +def fromtextfile(fname, delimiter=None, commentchar='#', missingchar='', + varnames=None, vartypes=None, + *, delimitor=np._NoValue): # backwards compatibility + """ + Creates a mrecarray from data stored in the file `filename`. + + Parameters + ---------- + fname : {file name/handle} + Handle of an opened file. + delimiter : {None, string}, optional + Alphanumeric character used to separate columns in the file. + If None, any (group of) white spacestring(s) will be used. + commentchar : {'#', string}, optional + Alphanumeric character used to mark the start of a comment. + missingchar : {'', string}, optional + String indicating missing data, and used to create the masks. + varnames : {None, sequence}, optional + Sequence of the variable names. If None, a list will be created from + the first non empty line of the file. + vartypes : {None, sequence}, optional + Sequence of the variables dtypes. If None, it will be estimated from + the first non-commented line. + + + Ultra simple: the varnames are in the header, one line""" + if delimitor is not np._NoValue: + if delimiter is not None: + raise TypeError("fromtextfile() got multiple values for argument " + "'delimiter'") + # NumPy 1.22.0, 2021-09-23 + warnings.warn("The 'delimitor' keyword argument of " + "numpy.ma.mrecords.fromtextfile() is deprecated " + "since NumPy 1.22.0, use 'delimiter' instead.", + DeprecationWarning, stacklevel=2) + delimiter = delimitor + + # Try to open the file. + ftext = openfile(fname) + + # Get the first non-empty line as the varnames + while True: + line = ftext.readline() + firstline = line[:line.find(commentchar)].strip() + _varnames = firstline.split(delimiter) + if len(_varnames) > 1: + break + if varnames is None: + varnames = _varnames + + # Get the data. + _variables = masked_array([line.strip().split(delimiter) for line in ftext + if line[0] != commentchar and len(line) > 1]) + (_, nfields) = _variables.shape + ftext.close() + + # Try to guess the dtype. + if vartypes is None: + vartypes = _guessvartypes(_variables[0]) + else: + vartypes = [np.dtype(v) for v in vartypes] + if len(vartypes) != nfields: + msg = "Attempting to %i dtypes for %i fields!" + msg += " Reverting to default." + warnings.warn(msg % (len(vartypes), nfields), stacklevel=2) + vartypes = _guessvartypes(_variables[0]) + + # Construct the descriptor. + mdescr = [(n, f) for (n, f) in zip(varnames, vartypes)] + mfillv = [ma.default_fill_value(f) for f in vartypes] + + # Get the data and the mask. + # We just need a list of masked_arrays. It's easier to create it like that: + _mask = (_variables.T == missingchar) + _datalist = [masked_array(a, mask=m, dtype=t, fill_value=f) + for (a, m, t, f) in zip(_variables.T, _mask, vartypes, mfillv)] + + return fromarrays(_datalist, dtype=mdescr) + + +def addfield(mrecord, newfield, newfieldname=None): + """Adds a new field to the masked record array + + Uses `newfield` as data and `newfieldname` as name. If `newfieldname` + is None, the new field name is set to 'fi', where `i` is the number of + existing fields. + + """ + _data = mrecord._data + _mask = mrecord._mask + if newfieldname is None or newfieldname in reserved_fields: + newfieldname = 'f%i' % len(_data.dtype) + newfield = ma.array(newfield) + # Get the new data. + # Create a new empty recarray + newdtype = np.dtype(_data.dtype.descr + [(newfieldname, newfield.dtype)]) + newdata = recarray(_data.shape, newdtype) + # Add the existing field + [newdata.setfield(_data.getfield(*f), *f) + for f in _data.dtype.fields.values()] + # Add the new field + newdata.setfield(newfield._data, *newdata.dtype.fields[newfieldname]) + newdata = newdata.view(MaskedRecords) + # Get the new mask + # Create a new empty recarray + newmdtype = np.dtype([(n, bool_) for n in newdtype.names]) + newmask = recarray(_data.shape, newmdtype) + # Add the old masks + [newmask.setfield(_mask.getfield(*f), *f) + for f in _mask.dtype.fields.values()] + # Add the mask of the new field + newmask.setfield(getmaskarray(newfield), + *newmask.dtype.fields[newfieldname]) + newdata._mask = newmask + return newdata diff --git a/lib/python3.12/site-packages/numpy/ma/mrecords.pyi b/lib/python3.12/site-packages/numpy/ma/mrecords.pyi new file mode 100644 index 0000000000000000000000000000000000000000..264807e05d57e03e2f8b71d2db2677d8a68ab17e --- /dev/null +++ b/lib/python3.12/site-packages/numpy/ma/mrecords.pyi @@ -0,0 +1,90 @@ +from typing import Any, TypeVar + +from numpy import dtype +from numpy.ma import MaskedArray + +__all__: list[str] + +# TODO: Set the `bound` to something more suitable once we +# have proper shape support +_ShapeType = TypeVar("_ShapeType", bound=Any) +_DType_co = TypeVar("_DType_co", bound=dtype[Any], covariant=True) + +class MaskedRecords(MaskedArray[_ShapeType, _DType_co]): + def __new__( + cls, + shape, + dtype=..., + buf=..., + offset=..., + strides=..., + formats=..., + names=..., + titles=..., + byteorder=..., + aligned=..., + mask=..., + hard_mask=..., + fill_value=..., + keep_mask=..., + copy=..., + **options, + ): ... + _mask: Any + _fill_value: Any + @property + def _data(self): ... + @property + def _fieldmask(self): ... + def __array_finalize__(self, obj): ... + def __len__(self): ... + def __getattribute__(self, attr): ... + def __setattr__(self, attr, val): ... + def __getitem__(self, indx): ... + def __setitem__(self, indx, value): ... + def view(self, dtype=..., type=...): ... + def harden_mask(self): ... + def soften_mask(self): ... + def copy(self): ... + def tolist(self, fill_value=...): ... + def __reduce__(self): ... + +mrecarray = MaskedRecords + +def fromarrays( + arraylist, + dtype=..., + shape=..., + formats=..., + names=..., + titles=..., + aligned=..., + byteorder=..., + fill_value=..., +): ... + +def fromrecords( + reclist, + dtype=..., + shape=..., + formats=..., + names=..., + titles=..., + aligned=..., + byteorder=..., + fill_value=..., + mask=..., +): ... + +def fromtextfile( + fname, + delimiter=..., + commentchar=..., + missingchar=..., + varnames=..., + vartypes=..., + # NOTE: deprecated: NumPy 1.22.0, 2021-09-23 + # delimitor=..., +): ... + +def addfield(mrecord, newfield, newfieldname=...): ... diff --git a/lib/python3.12/site-packages/numpy/ma/setup.py b/lib/python3.12/site-packages/numpy/ma/setup.py new file mode 100644 index 0000000000000000000000000000000000000000..018d38cdd5003103adec60cbfd844f49ca18c932 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/ma/setup.py @@ -0,0 +1,12 @@ +#!/usr/bin/env python3 +def configuration(parent_package='',top_path=None): + from numpy.distutils.misc_util import Configuration + config = Configuration('ma', parent_package, top_path) + config.add_subpackage('tests') + config.add_data_files('*.pyi') + return config + +if __name__ == "__main__": + from numpy.distutils.core import setup + config = configuration(top_path='').todict() + setup(**config) diff --git 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0000000000000000000000000000000000000000..08ddc46c2498e923105bcb47c34abf9b694bdd3f --- /dev/null +++ b/lib/python3.12/site-packages/numpy/ma/tests/test_core.py @@ -0,0 +1,5687 @@ +# pylint: disable-msg=W0400,W0511,W0611,W0612,W0614,R0201,E1102 +"""Tests suite for MaskedArray & subclassing. + +:author: Pierre Gerard-Marchant +:contact: pierregm_at_uga_dot_edu +""" +__author__ = "Pierre GF Gerard-Marchant" + +import sys +import warnings +import copy +import operator +import itertools +import textwrap +import pytest + +from functools import reduce + + +import numpy as np +import numpy.ma.core +import numpy.core.fromnumeric as fromnumeric +import numpy.core.umath as umath +from numpy.testing import ( + assert_raises, assert_warns, suppress_warnings, IS_WASM + ) +from numpy.testing._private.utils import requires_memory +from numpy import ndarray +from numpy.compat import asbytes +from numpy.ma.testutils import ( + assert_, assert_array_equal, assert_equal, assert_almost_equal, + assert_equal_records, fail_if_equal, assert_not_equal, + assert_mask_equal + ) +from numpy.ma.core import ( + MAError, MaskError, MaskType, MaskedArray, abs, absolute, add, all, + allclose, allequal, alltrue, angle, anom, arange, arccos, arccosh, arctan2, + arcsin, arctan, argsort, array, asarray, choose, concatenate, + conjugate, cos, cosh, count, default_fill_value, diag, divide, doc_note, + empty, empty_like, equal, exp, flatten_mask, filled, fix_invalid, + flatten_structured_array, fromflex, getmask, getmaskarray, greater, + greater_equal, identity, inner, isMaskedArray, less, less_equal, log, + log10, make_mask, make_mask_descr, mask_or, masked, masked_array, + masked_equal, masked_greater, masked_greater_equal, masked_inside, + masked_less, masked_less_equal, masked_not_equal, masked_outside, + masked_print_option, masked_values, masked_where, max, maximum, + maximum_fill_value, min, minimum, minimum_fill_value, mod, multiply, + mvoid, nomask, not_equal, ones, ones_like, outer, power, product, put, + putmask, ravel, repeat, reshape, resize, shape, sin, sinh, sometrue, sort, + sqrt, subtract, sum, take, tan, tanh, transpose, where, zeros, zeros_like, + ) +from numpy.compat import pickle + +pi = np.pi + + +suppress_copy_mask_on_assignment = suppress_warnings() +suppress_copy_mask_on_assignment.filter( + numpy.ma.core.MaskedArrayFutureWarning, + "setting an item on a masked array which has a shared mask will not copy") + + +# For parametrized numeric testing +num_dts = [np.dtype(dt_) for dt_ in '?bhilqBHILQefdgFD'] +num_ids = [dt_.char for dt_ in num_dts] + + +class TestMaskedArray: + # Base test class for MaskedArrays. + + def setup_method(self): + # Base data definition. + x = np.array([1., 1., 1., -2., pi/2.0, 4., 5., -10., 10., 1., 2., 3.]) + y = np.array([5., 0., 3., 2., -1., -4., 0., -10., 10., 1., 0., 3.]) + a10 = 10. + m1 = [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0] + m2 = [0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1] + xm = masked_array(x, mask=m1) + ym = masked_array(y, mask=m2) + z = np.array([-.5, 0., .5, .8]) + zm = masked_array(z, mask=[0, 1, 0, 0]) + xf = np.where(m1, 1e+20, x) + xm.set_fill_value(1e+20) + self.d = (x, y, a10, m1, m2, xm, ym, z, zm, xf) + + def test_basicattributes(self): + # Tests some basic array attributes. + a = array([1, 3, 2]) + b = array([1, 3, 2], mask=[1, 0, 1]) + assert_equal(a.ndim, 1) + assert_equal(b.ndim, 1) + assert_equal(a.size, 3) + assert_equal(b.size, 3) + assert_equal(a.shape, (3,)) + assert_equal(b.shape, (3,)) + + def test_basic0d(self): + # Checks masking a scalar + x = masked_array(0) + assert_equal(str(x), '0') + x = masked_array(0, mask=True) + assert_equal(str(x), str(masked_print_option)) + x = masked_array(0, mask=False) + assert_equal(str(x), '0') + x = array(0, mask=1) + assert_(x.filled().dtype is x._data.dtype) + + def test_basic1d(self): + # Test of basic array creation and properties in 1 dimension. + (x, y, a10, m1, m2, xm, ym, z, zm, xf) = self.d + assert_(not isMaskedArray(x)) + assert_(isMaskedArray(xm)) + assert_((xm - ym).filled(0).any()) + fail_if_equal(xm.mask.astype(int), ym.mask.astype(int)) + s = x.shape + assert_equal(np.shape(xm), s) + assert_equal(xm.shape, s) + assert_equal(xm.dtype, x.dtype) + assert_equal(zm.dtype, z.dtype) + assert_equal(xm.size, reduce(lambda x, y:x * y, s)) + assert_equal(count(xm), len(m1) - reduce(lambda x, y:x + y, m1)) + assert_array_equal(xm, xf) + assert_array_equal(filled(xm, 1.e20), xf) + assert_array_equal(x, xm) + + def test_basic2d(self): + # Test of basic array creation and properties in 2 dimensions. + (x, y, a10, m1, m2, xm, ym, z, zm, xf) = self.d + for s in [(4, 3), (6, 2)]: + x.shape = s + y.shape = s + xm.shape = s + ym.shape = s + xf.shape = s + + assert_(not isMaskedArray(x)) + assert_(isMaskedArray(xm)) + assert_equal(shape(xm), s) + assert_equal(xm.shape, s) + assert_equal(xm.size, reduce(lambda x, y:x * y, s)) + assert_equal(count(xm), len(m1) - reduce(lambda x, y:x + y, m1)) + assert_equal(xm, xf) + assert_equal(filled(xm, 1.e20), xf) + assert_equal(x, xm) + + def test_concatenate_basic(self): + # Tests concatenations. + (x, y, a10, m1, m2, xm, ym, z, zm, xf) = self.d + # basic concatenation + assert_equal(np.concatenate((x, y)), concatenate((xm, ym))) + assert_equal(np.concatenate((x, y)), concatenate((x, y))) + assert_equal(np.concatenate((x, y)), concatenate((xm, y))) + assert_equal(np.concatenate((x, y, x)), concatenate((x, ym, x))) + + def test_concatenate_alongaxis(self): + # Tests concatenations. + (x, y, a10, m1, m2, xm, ym, z, zm, xf) = self.d + # Concatenation along an axis + s = (3, 4) + x.shape = y.shape = xm.shape = ym.shape = s + assert_equal(xm.mask, np.reshape(m1, s)) + assert_equal(ym.mask, np.reshape(m2, s)) + xmym = concatenate((xm, ym), 1) + assert_equal(np.concatenate((x, y), 1), xmym) + assert_equal(np.concatenate((xm.mask, ym.mask), 1), xmym._mask) + + x = zeros(2) + y = array(ones(2), mask=[False, True]) + z = concatenate((x, y)) + assert_array_equal(z, [0, 0, 1, 1]) + assert_array_equal(z.mask, [False, False, False, True]) + z = concatenate((y, x)) + assert_array_equal(z, [1, 1, 0, 0]) + assert_array_equal(z.mask, [False, True, False, False]) + + def test_concatenate_flexible(self): + # Tests the concatenation on flexible arrays. + data = masked_array(list(zip(np.random.rand(10), + np.arange(10))), + dtype=[('a', float), ('b', int)]) + + test = concatenate([data[:5], data[5:]]) + assert_equal_records(test, data) + + def test_creation_ndmin(self): + # Check the use of ndmin + x = array([1, 2, 3], mask=[1, 0, 0], ndmin=2) + assert_equal(x.shape, (1, 3)) + assert_equal(x._data, [[1, 2, 3]]) + assert_equal(x._mask, [[1, 0, 0]]) + + def test_creation_ndmin_from_maskedarray(self): + # Make sure we're not losing the original mask w/ ndmin + x = array([1, 2, 3]) + x[-1] = masked + xx = array(x, ndmin=2, dtype=float) + assert_equal(x.shape, x._mask.shape) + assert_equal(xx.shape, xx._mask.shape) + + def test_creation_maskcreation(self): + # Tests how masks are initialized at the creation of Maskedarrays. + data = arange(24, dtype=float) + data[[3, 6, 15]] = masked + dma_1 = MaskedArray(data) + assert_equal(dma_1.mask, data.mask) + dma_2 = MaskedArray(dma_1) + assert_equal(dma_2.mask, dma_1.mask) + dma_3 = MaskedArray(dma_1, mask=[1, 0, 0, 0] * 6) + fail_if_equal(dma_3.mask, dma_1.mask) + + x = array([1, 2, 3], mask=True) + assert_equal(x._mask, [True, True, True]) + x = array([1, 2, 3], mask=False) + assert_equal(x._mask, [False, False, False]) + y = array([1, 2, 3], mask=x._mask, copy=False) + assert_(np.may_share_memory(x.mask, y.mask)) + y = array([1, 2, 3], mask=x._mask, copy=True) + assert_(not np.may_share_memory(x.mask, y.mask)) + x = array([1, 2, 3], mask=None) + assert_equal(x._mask, [False, False, False]) + + def test_masked_singleton_array_creation_warns(self): + # The first works, but should not (ideally), there may be no way + # to solve this, however, as long as `np.ma.masked` is an ndarray. + np.array(np.ma.masked) + with pytest.warns(UserWarning): + # Tries to create a float array, using `float(np.ma.masked)`. + # We may want to define this is invalid behaviour in the future! + # (requiring np.ma.masked to be a known NumPy scalar probably + # with a DType.) + np.array([3., np.ma.masked]) + + def test_creation_with_list_of_maskedarrays(self): + # Tests creating a masked array from a list of masked arrays. + x = array(np.arange(5), mask=[1, 0, 0, 0, 0]) + data = array((x, x[::-1])) + assert_equal(data, [[0, 1, 2, 3, 4], [4, 3, 2, 1, 0]]) + assert_equal(data._mask, [[1, 0, 0, 0, 0], [0, 0, 0, 0, 1]]) + + x.mask = nomask + data = array((x, x[::-1])) + assert_equal(data, [[0, 1, 2, 3, 4], [4, 3, 2, 1, 0]]) + assert_(data.mask is nomask) + + def test_creation_with_list_of_maskedarrays_no_bool_cast(self): + # Tests the regression in gh-18551 + masked_str = np.ma.masked_array(['a', 'b'], mask=[True, False]) + normal_int = np.arange(2) + res = np.ma.asarray([masked_str, normal_int], dtype="U21") + assert_array_equal(res.mask, [[True, False], [False, False]]) + + # The above only failed due a long chain of oddity, try also with + # an object array that cannot be converted to bool always: + class NotBool(): + def __bool__(self): + raise ValueError("not a bool!") + masked_obj = np.ma.masked_array([NotBool(), 'b'], mask=[True, False]) + # Check that the NotBool actually fails like we would expect: + with pytest.raises(ValueError, match="not a bool!"): + np.asarray([masked_obj], dtype=bool) + + res = np.ma.asarray([masked_obj, normal_int]) + assert_array_equal(res.mask, [[True, False], [False, False]]) + + def test_creation_from_ndarray_with_padding(self): + x = np.array([('A', 0)], dtype={'names':['f0','f1'], + 'formats':['S4','i8'], + 'offsets':[0,8]}) + array(x) # used to fail due to 'V' padding field in x.dtype.descr + + def test_unknown_keyword_parameter(self): + with pytest.raises(TypeError, match="unexpected keyword argument"): + MaskedArray([1, 2, 3], maks=[0, 1, 0]) # `mask` is misspelled. + + def test_asarray(self): + (x, y, a10, m1, m2, xm, ym, z, zm, xf) = self.d + xm.fill_value = -9999 + xm._hardmask = True + xmm = asarray(xm) + assert_equal(xmm._data, xm._data) + assert_equal(xmm._mask, xm._mask) + assert_equal(xmm.fill_value, xm.fill_value) + assert_equal(xmm._hardmask, xm._hardmask) + + def test_asarray_default_order(self): + # See Issue #6646 + m = np.eye(3).T + assert_(not m.flags.c_contiguous) + + new_m = asarray(m) + assert_(new_m.flags.c_contiguous) + + def test_asarray_enforce_order(self): + # See Issue #6646 + m = np.eye(3).T + assert_(not m.flags.c_contiguous) + + new_m = asarray(m, order='C') + assert_(new_m.flags.c_contiguous) + + def test_fix_invalid(self): + # Checks fix_invalid. + with np.errstate(invalid='ignore'): + data = masked_array([np.nan, 0., 1.], mask=[0, 0, 1]) + data_fixed = fix_invalid(data) + assert_equal(data_fixed._data, [data.fill_value, 0., 1.]) + assert_equal(data_fixed._mask, [1., 0., 1.]) + + def test_maskedelement(self): + # Test of masked element + x = arange(6) + x[1] = masked + assert_(str(masked) == '--') + assert_(x[1] is masked) + assert_equal(filled(x[1], 0), 0) + + def test_set_element_as_object(self): + # Tests setting elements with object + a = empty(1, dtype=object) + x = (1, 2, 3, 4, 5) + a[0] = x + assert_equal(a[0], x) + assert_(a[0] is x) + + import datetime + dt = datetime.datetime.now() + a[0] = dt + assert_(a[0] is dt) + + def test_indexing(self): + # Tests conversions and indexing + x1 = np.array([1, 2, 4, 3]) + x2 = array(x1, mask=[1, 0, 0, 0]) + x3 = array(x1, mask=[0, 1, 0, 1]) + x4 = array(x1) + # test conversion to strings + str(x2) # raises? + repr(x2) # raises? + assert_equal(np.sort(x1), sort(x2, endwith=False)) + # tests of indexing + assert_(type(x2[1]) is type(x1[1])) + assert_(x1[1] == x2[1]) + assert_(x2[0] is masked) + assert_equal(x1[2], x2[2]) + assert_equal(x1[2:5], x2[2:5]) + assert_equal(x1[:], x2[:]) + assert_equal(x1[1:], x3[1:]) + x1[2] = 9 + x2[2] = 9 + assert_equal(x1, x2) + x1[1:3] = 99 + x2[1:3] = 99 + assert_equal(x1, x2) + x2[1] = masked + assert_equal(x1, x2) + x2[1:3] = masked + assert_equal(x1, x2) + x2[:] = x1 + x2[1] = masked + assert_(allequal(getmask(x2), array([0, 1, 0, 0]))) + x3[:] = masked_array([1, 2, 3, 4], [0, 1, 1, 0]) + assert_(allequal(getmask(x3), array([0, 1, 1, 0]))) + x4[:] = masked_array([1, 2, 3, 4], [0, 1, 1, 0]) + assert_(allequal(getmask(x4), array([0, 1, 1, 0]))) + assert_(allequal(x4, array([1, 2, 3, 4]))) + x1 = np.arange(5) * 1.0 + x2 = masked_values(x1, 3.0) + assert_equal(x1, x2) + assert_(allequal(array([0, 0, 0, 1, 0], MaskType), x2.mask)) + assert_equal(3.0, x2.fill_value) + x1 = array([1, 'hello', 2, 3], object) + x2 = np.array([1, 'hello', 2, 3], object) + s1 = x1[1] + s2 = x2[1] + assert_equal(type(s2), str) + assert_equal(type(s1), str) + assert_equal(s1, s2) + assert_(x1[1:1].shape == (0,)) + + def test_setitem_no_warning(self): + # Setitem shouldn't warn, because the assignment might be masked + # and warning for a masked assignment is weird (see gh-23000) + # (When the value is masked, otherwise a warning would be acceptable + # but is not given currently.) + x = np.ma.arange(60).reshape((6, 10)) + index = (slice(1, 5, 2), [7, 5]) + value = np.ma.masked_all((2, 2)) + value._data[...] = np.inf # not a valid integer... + x[index] = value + # The masked scalar is special cased, but test anyway (it's NaN): + x[...] = np.ma.masked + # Finally, a large value that cannot be cast to the float32 `x` + x = np.ma.arange(3., dtype=np.float32) + value = np.ma.array([2e234, 1, 1], mask=[True, False, False]) + x[...] = value + x[[0, 1, 2]] = value + + @suppress_copy_mask_on_assignment + def test_copy(self): + # Tests of some subtle points of copying and sizing. + n = [0, 0, 1, 0, 0] + m = make_mask(n) + m2 = make_mask(m) + assert_(m is m2) + m3 = make_mask(m, copy=True) + assert_(m is not m3) + + x1 = np.arange(5) + y1 = array(x1, mask=m) + assert_equal(y1._data.__array_interface__, x1.__array_interface__) + assert_(allequal(x1, y1.data)) + assert_equal(y1._mask.__array_interface__, m.__array_interface__) + + y1a = array(y1) + # Default for masked array is not to copy; see gh-10318. + assert_(y1a._data.__array_interface__ == + y1._data.__array_interface__) + assert_(y1a._mask.__array_interface__ == + y1._mask.__array_interface__) + + y2 = array(x1, mask=m3) + assert_(y2._data.__array_interface__ == x1.__array_interface__) + assert_(y2._mask.__array_interface__ == m3.__array_interface__) + assert_(y2[2] is masked) + y2[2] = 9 + assert_(y2[2] is not masked) + assert_(y2._mask.__array_interface__ == m3.__array_interface__) + assert_(allequal(y2.mask, 0)) + + y2a = array(x1, mask=m, copy=1) + assert_(y2a._data.__array_interface__ != x1.__array_interface__) + #assert_( y2a._mask is not m) + assert_(y2a._mask.__array_interface__ != m.__array_interface__) + assert_(y2a[2] is masked) + y2a[2] = 9 + assert_(y2a[2] is not masked) + #assert_( y2a._mask is not m) + assert_(y2a._mask.__array_interface__ != m.__array_interface__) + assert_(allequal(y2a.mask, 0)) + + y3 = array(x1 * 1.0, mask=m) + assert_(filled(y3).dtype is (x1 * 1.0).dtype) + + x4 = arange(4) + x4[2] = masked + y4 = resize(x4, (8,)) + assert_equal(concatenate([x4, x4]), y4) + assert_equal(getmask(y4), [0, 0, 1, 0, 0, 0, 1, 0]) + y5 = repeat(x4, (2, 2, 2, 2), axis=0) + assert_equal(y5, [0, 0, 1, 1, 2, 2, 3, 3]) + y6 = repeat(x4, 2, axis=0) + assert_equal(y5, y6) + y7 = x4.repeat((2, 2, 2, 2), axis=0) + assert_equal(y5, y7) + y8 = x4.repeat(2, 0) + assert_equal(y5, y8) + + y9 = x4.copy() + assert_equal(y9._data, x4._data) + assert_equal(y9._mask, x4._mask) + + x = masked_array([1, 2, 3], mask=[0, 1, 0]) + # Copy is False by default + y = masked_array(x) + assert_equal(y._data.ctypes.data, x._data.ctypes.data) + assert_equal(y._mask.ctypes.data, x._mask.ctypes.data) + y = masked_array(x, copy=True) + assert_not_equal(y._data.ctypes.data, x._data.ctypes.data) + assert_not_equal(y._mask.ctypes.data, x._mask.ctypes.data) + + def test_copy_0d(self): + # gh-9430 + x = np.ma.array(43, mask=True) + xc = x.copy() + assert_equal(xc.mask, True) + + def test_copy_on_python_builtins(self): + # Tests copy works on python builtins (issue#8019) + assert_(isMaskedArray(np.ma.copy([1,2,3]))) + assert_(isMaskedArray(np.ma.copy((1,2,3)))) + + def test_copy_immutable(self): + # Tests that the copy method is immutable, GitHub issue #5247 + a = np.ma.array([1, 2, 3]) + b = np.ma.array([4, 5, 6]) + a_copy_method = a.copy + b.copy + assert_equal(a_copy_method(), [1, 2, 3]) + + def test_deepcopy(self): + from copy import deepcopy + a = array([0, 1, 2], mask=[False, True, False]) + copied = deepcopy(a) + assert_equal(copied.mask, a.mask) + assert_not_equal(id(a._mask), id(copied._mask)) + + copied[1] = 1 + assert_equal(copied.mask, [0, 0, 0]) + assert_equal(a.mask, [0, 1, 0]) + + copied = deepcopy(a) + assert_equal(copied.mask, a.mask) + copied.mask[1] = False + assert_equal(copied.mask, [0, 0, 0]) + assert_equal(a.mask, [0, 1, 0]) + + def test_format(self): + a = array([0, 1, 2], mask=[False, True, False]) + assert_equal(format(a), "[0 -- 2]") + assert_equal(format(masked), "--") + assert_equal(format(masked, ""), "--") + + # Postponed from PR #15410, perhaps address in the future. + # assert_equal(format(masked, " >5"), " --") + # assert_equal(format(masked, " <5"), "-- ") + + # Expect a FutureWarning for using format_spec with MaskedElement + with assert_warns(FutureWarning): + with_format_string = format(masked, " >5") + assert_equal(with_format_string, "--") + + def test_str_repr(self): + a = array([0, 1, 2], mask=[False, True, False]) + assert_equal(str(a), '[0 -- 2]') + assert_equal( + repr(a), + textwrap.dedent('''\ + masked_array(data=[0, --, 2], + mask=[False, True, False], + fill_value=999999)''') + ) + + # arrays with a continuation + a = np.ma.arange(2000) + a[1:50] = np.ma.masked + assert_equal( + repr(a), + textwrap.dedent('''\ + masked_array(data=[0, --, --, ..., 1997, 1998, 1999], + mask=[False, True, True, ..., False, False, False], + fill_value=999999)''') + ) + + # line-wrapped 1d arrays are correctly aligned + a = np.ma.arange(20) + assert_equal( + repr(a), + textwrap.dedent('''\ + masked_array(data=[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, + 14, 15, 16, 17, 18, 19], + mask=False, + fill_value=999999)''') + ) + + # 2d arrays cause wrapping + a = array([[1, 2, 3], [4, 5, 6]], dtype=np.int8) + a[1,1] = np.ma.masked + assert_equal( + repr(a), + textwrap.dedent('''\ + masked_array( + data=[[1, 2, 3], + [4, --, 6]], + mask=[[False, False, False], + [False, True, False]], + fill_value=999999, + dtype=int8)''') + ) + + # but not it they're a row vector + assert_equal( + repr(a[:1]), + textwrap.dedent('''\ + masked_array(data=[[1, 2, 3]], + mask=[[False, False, False]], + fill_value=999999, + dtype=int8)''') + ) + + # dtype=int is implied, so not shown + assert_equal( + repr(a.astype(int)), + textwrap.dedent('''\ + masked_array( + data=[[1, 2, 3], + [4, --, 6]], + mask=[[False, False, False], + [False, True, False]], + fill_value=999999)''') + ) + + def test_str_repr_legacy(self): + oldopts = np.get_printoptions() + np.set_printoptions(legacy='1.13') + try: + a = array([0, 1, 2], mask=[False, True, False]) + assert_equal(str(a), '[0 -- 2]') + assert_equal(repr(a), 'masked_array(data = [0 -- 2],\n' + ' mask = [False True False],\n' + ' fill_value = 999999)\n') + + a = np.ma.arange(2000) + a[1:50] = np.ma.masked + assert_equal( + repr(a), + 'masked_array(data = [0 -- -- ..., 1997 1998 1999],\n' + ' mask = [False True True ..., False False False],\n' + ' fill_value = 999999)\n' + ) + finally: + np.set_printoptions(**oldopts) + + def test_0d_unicode(self): + u = 'caf\xe9' + utype = type(u) + + arr_nomask = np.ma.array(u) + arr_masked = np.ma.array(u, mask=True) + + assert_equal(utype(arr_nomask), u) + assert_equal(utype(arr_masked), '--') + + def test_pickling(self): + # Tests pickling + for dtype in (int, float, str, object): + a = arange(10).astype(dtype) + a.fill_value = 999 + + masks = ([0, 0, 0, 1, 0, 1, 0, 1, 0, 1], # partially masked + True, # Fully masked + False) # Fully unmasked + + for proto in range(2, pickle.HIGHEST_PROTOCOL + 1): + for mask in masks: + a.mask = mask + a_pickled = pickle.loads(pickle.dumps(a, protocol=proto)) + assert_equal(a_pickled._mask, a._mask) + assert_equal(a_pickled._data, a._data) + if dtype in (object, int): + assert_equal(a_pickled.fill_value, 999) + else: + assert_equal(a_pickled.fill_value, dtype(999)) + assert_array_equal(a_pickled.mask, mask) + + def test_pickling_subbaseclass(self): + # Test pickling w/ a subclass of ndarray + x = np.array([(1.0, 2), (3.0, 4)], + dtype=[('x', float), ('y', int)]).view(np.recarray) + a = masked_array(x, mask=[(True, False), (False, True)]) + for proto in range(2, pickle.HIGHEST_PROTOCOL + 1): + a_pickled = pickle.loads(pickle.dumps(a, protocol=proto)) + assert_equal(a_pickled._mask, a._mask) + assert_equal(a_pickled, a) + assert_(isinstance(a_pickled._data, np.recarray)) + + def test_pickling_maskedconstant(self): + # Test pickling MaskedConstant + mc = np.ma.masked + for proto in range(2, pickle.HIGHEST_PROTOCOL + 1): + mc_pickled = pickle.loads(pickle.dumps(mc, protocol=proto)) + assert_equal(mc_pickled._baseclass, mc._baseclass) + assert_equal(mc_pickled._mask, mc._mask) + assert_equal(mc_pickled._data, mc._data) + + def test_pickling_wstructured(self): + # Tests pickling w/ structured array + a = array([(1, 1.), (2, 2.)], mask=[(0, 0), (0, 1)], + dtype=[('a', int), ('b', float)]) + for proto in range(2, pickle.HIGHEST_PROTOCOL + 1): + a_pickled = pickle.loads(pickle.dumps(a, protocol=proto)) + assert_equal(a_pickled._mask, a._mask) + assert_equal(a_pickled, a) + + def test_pickling_keepalignment(self): + # Tests pickling w/ F_CONTIGUOUS arrays + a = arange(10) + a.shape = (-1, 2) + b = a.T + for proto in range(2, pickle.HIGHEST_PROTOCOL + 1): + test = pickle.loads(pickle.dumps(b, protocol=proto)) + assert_equal(test, b) + + def test_single_element_subscript(self): + # Tests single element subscripts of Maskedarrays. + a = array([1, 3, 2]) + b = array([1, 3, 2], mask=[1, 0, 1]) + assert_equal(a[0].shape, ()) + assert_equal(b[0].shape, ()) + assert_equal(b[1].shape, ()) + + def test_topython(self): + # Tests some communication issues with Python. + assert_equal(1, int(array(1))) + assert_equal(1.0, float(array(1))) + assert_equal(1, int(array([[[1]]]))) + assert_equal(1.0, float(array([[1]]))) + assert_raises(TypeError, float, array([1, 1])) + + with suppress_warnings() as sup: + sup.filter(UserWarning, 'Warning: converting a masked element') + assert_(np.isnan(float(array([1], mask=[1])))) + + a = array([1, 2, 3], mask=[1, 0, 0]) + assert_raises(TypeError, lambda: float(a)) + assert_equal(float(a[-1]), 3.) + assert_(np.isnan(float(a[0]))) + assert_raises(TypeError, int, a) + assert_equal(int(a[-1]), 3) + assert_raises(MAError, lambda:int(a[0])) + + def test_oddfeatures_1(self): + # Test of other odd features + x = arange(20) + x = x.reshape(4, 5) + x.flat[5] = 12 + assert_(x[1, 0] == 12) + z = x + 10j * x + assert_equal(z.real, x) + assert_equal(z.imag, 10 * x) + assert_equal((z * conjugate(z)).real, 101 * x * x) + z.imag[...] = 0.0 + + x = arange(10) + x[3] = masked + assert_(str(x[3]) == str(masked)) + c = x >= 8 + assert_(count(where(c, masked, masked)) == 0) + assert_(shape(where(c, masked, masked)) == c.shape) + + z = masked_where(c, x) + assert_(z.dtype is x.dtype) + assert_(z[3] is masked) + assert_(z[4] is not masked) + assert_(z[7] is not masked) + assert_(z[8] is masked) + assert_(z[9] is masked) + assert_equal(x, z) + + def test_oddfeatures_2(self): + # Tests some more features. + x = array([1., 2., 3., 4., 5.]) + c = array([1, 1, 1, 0, 0]) + x[2] = masked + z = where(c, x, -x) + assert_equal(z, [1., 2., 0., -4., -5]) + c[0] = masked + z = where(c, x, -x) + assert_equal(z, [1., 2., 0., -4., -5]) + assert_(z[0] is masked) + assert_(z[1] is not masked) + assert_(z[2] is masked) + + @suppress_copy_mask_on_assignment + def test_oddfeatures_3(self): + # Tests some generic features + atest = array([10], mask=True) + btest = array([20]) + idx = atest.mask + atest[idx] = btest[idx] + assert_equal(atest, [20]) + + def test_filled_with_object_dtype(self): + a = np.ma.masked_all(1, dtype='O') + assert_equal(a.filled('x')[0], 'x') + + def test_filled_with_flexible_dtype(self): + # Test filled w/ flexible dtype + flexi = array([(1, 1, 1)], + dtype=[('i', int), ('s', '|S8'), ('f', float)]) + flexi[0] = masked + assert_equal(flexi.filled(), + np.array([(default_fill_value(0), + default_fill_value('0'), + default_fill_value(0.),)], dtype=flexi.dtype)) + flexi[0] = masked + assert_equal(flexi.filled(1), + np.array([(1, '1', 1.)], dtype=flexi.dtype)) + + def test_filled_with_mvoid(self): + # Test filled w/ mvoid + ndtype = [('a', int), ('b', float)] + a = mvoid((1, 2.), mask=[(0, 1)], dtype=ndtype) + # Filled using default + test = a.filled() + assert_equal(tuple(test), (1, default_fill_value(1.))) + # Explicit fill_value + test = a.filled((-1, -1)) + assert_equal(tuple(test), (1, -1)) + # Using predefined filling values + a.fill_value = (-999, -999) + assert_equal(tuple(a.filled()), (1, -999)) + + def test_filled_with_nested_dtype(self): + # Test filled w/ nested dtype + ndtype = [('A', int), ('B', [('BA', int), ('BB', int)])] + a = array([(1, (1, 1)), (2, (2, 2))], + mask=[(0, (1, 0)), (0, (0, 1))], dtype=ndtype) + test = a.filled(0) + control = np.array([(1, (0, 1)), (2, (2, 0))], dtype=ndtype) + assert_equal(test, control) + + test = a['B'].filled(0) + control = np.array([(0, 1), (2, 0)], dtype=a['B'].dtype) + assert_equal(test, control) + + # test if mask gets set correctly (see #6760) + Z = numpy.ma.zeros(2, numpy.dtype([("A", "(2,2)i1,(2,2)i1", (2,2))])) + assert_equal(Z.data.dtype, numpy.dtype([('A', [('f0', 'i1', (2, 2)), + ('f1', 'i1', (2, 2))], (2, 2))])) + assert_equal(Z.mask.dtype, numpy.dtype([('A', [('f0', '?', (2, 2)), + ('f1', '?', (2, 2))], (2, 2))])) + + def test_filled_with_f_order(self): + # Test filled w/ F-contiguous array + a = array(np.array([(0, 1, 2), (4, 5, 6)], order='F'), + mask=np.array([(0, 0, 1), (1, 0, 0)], order='F'), + order='F') # this is currently ignored + assert_(a.flags['F_CONTIGUOUS']) + assert_(a.filled(0).flags['F_CONTIGUOUS']) + + def test_optinfo_propagation(self): + # Checks that _optinfo dictionary isn't back-propagated + x = array([1, 2, 3, ], dtype=float) + x._optinfo['info'] = '???' + y = x.copy() + assert_equal(y._optinfo['info'], '???') + y._optinfo['info'] = '!!!' + assert_equal(x._optinfo['info'], '???') + + def test_optinfo_forward_propagation(self): + a = array([1,2,2,4]) + a._optinfo["key"] = "value" + assert_equal(a._optinfo["key"], (a == 2)._optinfo["key"]) + assert_equal(a._optinfo["key"], (a != 2)._optinfo["key"]) + assert_equal(a._optinfo["key"], (a > 2)._optinfo["key"]) + assert_equal(a._optinfo["key"], (a >= 2)._optinfo["key"]) + assert_equal(a._optinfo["key"], (a <= 2)._optinfo["key"]) + assert_equal(a._optinfo["key"], (a + 2)._optinfo["key"]) + assert_equal(a._optinfo["key"], (a - 2)._optinfo["key"]) + assert_equal(a._optinfo["key"], (a * 2)._optinfo["key"]) + assert_equal(a._optinfo["key"], (a / 2)._optinfo["key"]) + assert_equal(a._optinfo["key"], a[:2]._optinfo["key"]) + assert_equal(a._optinfo["key"], a[[0,0,2]]._optinfo["key"]) + assert_equal(a._optinfo["key"], np.exp(a)._optinfo["key"]) + assert_equal(a._optinfo["key"], np.abs(a)._optinfo["key"]) + assert_equal(a._optinfo["key"], array(a, copy=True)._optinfo["key"]) + assert_equal(a._optinfo["key"], np.zeros_like(a)._optinfo["key"]) + + def test_fancy_printoptions(self): + # Test printing a masked array w/ fancy dtype. + fancydtype = np.dtype([('x', int), ('y', [('t', int), ('s', float)])]) + test = array([(1, (2, 3.0)), (4, (5, 6.0))], + mask=[(1, (0, 1)), (0, (1, 0))], + dtype=fancydtype) + control = "[(--, (2, --)) (4, (--, 6.0))]" + assert_equal(str(test), control) + + # Test 0-d array with multi-dimensional dtype + t_2d0 = masked_array(data = (0, [[0.0, 0.0, 0.0], + [0.0, 0.0, 0.0]], + 0.0), + mask = (False, [[True, False, True], + [False, False, True]], + False), + dtype = "int, (2,3)float, float") + control = "(0, [[--, 0.0, --], [0.0, 0.0, --]], 0.0)" + assert_equal(str(t_2d0), control) + + def test_flatten_structured_array(self): + # Test flatten_structured_array on arrays + # On ndarray + ndtype = [('a', int), ('b', float)] + a = np.array([(1, 1), (2, 2)], dtype=ndtype) + test = flatten_structured_array(a) + control = np.array([[1., 1.], [2., 2.]], dtype=float) + assert_equal(test, control) + assert_equal(test.dtype, control.dtype) + # On masked_array + a = array([(1, 1), (2, 2)], mask=[(0, 1), (1, 0)], dtype=ndtype) + test = flatten_structured_array(a) + control = array([[1., 1.], [2., 2.]], + mask=[[0, 1], [1, 0]], dtype=float) + assert_equal(test, control) + assert_equal(test.dtype, control.dtype) + assert_equal(test.mask, control.mask) + # On masked array with nested structure + ndtype = [('a', int), ('b', [('ba', int), ('bb', float)])] + a = array([(1, (1, 1.1)), (2, (2, 2.2))], + mask=[(0, (1, 0)), (1, (0, 1))], dtype=ndtype) + test = flatten_structured_array(a) + control = array([[1., 1., 1.1], [2., 2., 2.2]], + mask=[[0, 1, 0], [1, 0, 1]], dtype=float) + assert_equal(test, control) + assert_equal(test.dtype, control.dtype) + assert_equal(test.mask, control.mask) + # Keeping the initial shape + ndtype = [('a', int), ('b', float)] + a = np.array([[(1, 1), ], [(2, 2), ]], dtype=ndtype) + test = flatten_structured_array(a) + control = np.array([[[1., 1.], ], [[2., 2.], ]], dtype=float) + assert_equal(test, control) + assert_equal(test.dtype, control.dtype) + + def test_void0d(self): + # Test creating a mvoid object + ndtype = [('a', int), ('b', int)] + a = np.array([(1, 2,)], dtype=ndtype)[0] + f = mvoid(a) + assert_(isinstance(f, mvoid)) + + a = masked_array([(1, 2)], mask=[(1, 0)], dtype=ndtype)[0] + assert_(isinstance(a, mvoid)) + + a = masked_array([(1, 2), (1, 2)], mask=[(1, 0), (0, 0)], dtype=ndtype) + f = mvoid(a._data[0], a._mask[0]) + assert_(isinstance(f, mvoid)) + + def test_mvoid_getitem(self): + # Test mvoid.__getitem__ + ndtype = [('a', int), ('b', int)] + a = masked_array([(1, 2,), (3, 4)], mask=[(0, 0), (1, 0)], + dtype=ndtype) + # w/o mask + f = a[0] + assert_(isinstance(f, mvoid)) + assert_equal((f[0], f['a']), (1, 1)) + assert_equal(f['b'], 2) + # w/ mask + f = a[1] + assert_(isinstance(f, mvoid)) + assert_(f[0] is masked) + assert_(f['a'] is masked) + assert_equal(f[1], 4) + + # exotic dtype + A = masked_array(data=[([0,1],)], + mask=[([True, False],)], + dtype=[("A", ">i2", (2,))]) + assert_equal(A[0]["A"], A["A"][0]) + assert_equal(A[0]["A"], masked_array(data=[0, 1], + mask=[True, False], dtype=">i2")) + + def test_mvoid_iter(self): + # Test iteration on __getitem__ + ndtype = [('a', int), ('b', int)] + a = masked_array([(1, 2,), (3, 4)], mask=[(0, 0), (1, 0)], + dtype=ndtype) + # w/o mask + assert_equal(list(a[0]), [1, 2]) + # w/ mask + assert_equal(list(a[1]), [masked, 4]) + + def test_mvoid_print(self): + # Test printing a mvoid + mx = array([(1, 1), (2, 2)], dtype=[('a', int), ('b', int)]) + assert_equal(str(mx[0]), "(1, 1)") + mx['b'][0] = masked + ini_display = masked_print_option._display + masked_print_option.set_display("-X-") + try: + assert_equal(str(mx[0]), "(1, -X-)") + assert_equal(repr(mx[0]), "(1, -X-)") + finally: + masked_print_option.set_display(ini_display) + + # also check if there are object datatypes (see gh-7493) + mx = array([(1,), (2,)], dtype=[('a', 'O')]) + assert_equal(str(mx[0]), "(1,)") + + def test_mvoid_multidim_print(self): + + # regression test for gh-6019 + t_ma = masked_array(data = [([1, 2, 3],)], + mask = [([False, True, False],)], + fill_value = ([999999, 999999, 999999],), + dtype = [('a', ' 1: + assert_equal(np.concatenate((x, y), 1), concatenate((xm, ym), 1)) + assert_equal(np.add.reduce(x, 1), add.reduce(x, 1)) + assert_equal(np.sum(x, 1), sum(x, 1)) + assert_equal(np.prod(x, 1), product(x, 1)) + + def test_binops_d2D(self): + # Test binary operations on 2D data + a = array([[1.], [2.], [3.]], mask=[[False], [True], [True]]) + b = array([[2., 3.], [4., 5.], [6., 7.]]) + + test = a * b + control = array([[2., 3.], [2., 2.], [3., 3.]], + mask=[[0, 0], [1, 1], [1, 1]]) + assert_equal(test, control) + assert_equal(test.data, control.data) + assert_equal(test.mask, control.mask) + + test = b * a + control = array([[2., 3.], [4., 5.], [6., 7.]], + mask=[[0, 0], [1, 1], [1, 1]]) + assert_equal(test, control) + assert_equal(test.data, control.data) + assert_equal(test.mask, control.mask) + + a = array([[1.], [2.], [3.]]) + b = array([[2., 3.], [4., 5.], [6., 7.]], + mask=[[0, 0], [0, 0], [0, 1]]) + test = a * b + control = array([[2, 3], [8, 10], [18, 3]], + mask=[[0, 0], [0, 0], [0, 1]]) + assert_equal(test, control) + assert_equal(test.data, control.data) + assert_equal(test.mask, control.mask) + + test = b * a + control = array([[2, 3], [8, 10], [18, 7]], + mask=[[0, 0], [0, 0], [0, 1]]) + assert_equal(test, control) + assert_equal(test.data, control.data) + assert_equal(test.mask, control.mask) + + def test_domained_binops_d2D(self): + # Test domained binary operations on 2D data + a = array([[1.], [2.], [3.]], mask=[[False], [True], [True]]) + b = array([[2., 3.], [4., 5.], [6., 7.]]) + + test = a / b + control = array([[1. / 2., 1. / 3.], [2., 2.], [3., 3.]], + mask=[[0, 0], [1, 1], [1, 1]]) + assert_equal(test, control) + assert_equal(test.data, control.data) + assert_equal(test.mask, control.mask) + + test = b / a + control = array([[2. / 1., 3. / 1.], [4., 5.], [6., 7.]], + mask=[[0, 0], [1, 1], [1, 1]]) + assert_equal(test, control) + assert_equal(test.data, control.data) + assert_equal(test.mask, control.mask) + + a = array([[1.], [2.], [3.]]) + b = array([[2., 3.], [4., 5.], [6., 7.]], + mask=[[0, 0], [0, 0], [0, 1]]) + test = a / b + control = array([[1. / 2, 1. / 3], [2. / 4, 2. / 5], [3. / 6, 3]], + mask=[[0, 0], [0, 0], [0, 1]]) + assert_equal(test, control) + assert_equal(test.data, control.data) + assert_equal(test.mask, control.mask) + + test = b / a + control = array([[2 / 1., 3 / 1.], [4 / 2., 5 / 2.], [6 / 3., 7]], + mask=[[0, 0], [0, 0], [0, 1]]) + assert_equal(test, control) + assert_equal(test.data, control.data) + assert_equal(test.mask, control.mask) + + def test_noshrinking(self): + # Check that we don't shrink a mask when not wanted + # Binary operations + a = masked_array([1., 2., 3.], mask=[False, False, False], + shrink=False) + b = a + 1 + assert_equal(b.mask, [0, 0, 0]) + # In place binary operation + a += 1 + assert_equal(a.mask, [0, 0, 0]) + # Domained binary operation + b = a / 1. + assert_equal(b.mask, [0, 0, 0]) + # In place binary operation + a /= 1. + assert_equal(a.mask, [0, 0, 0]) + + def test_ufunc_nomask(self): + # check the case ufuncs should set the mask to false + m = np.ma.array([1]) + # check we don't get array([False], dtype=bool) + assert_equal(np.true_divide(m, 5).mask.shape, ()) + + def test_noshink_on_creation(self): + # Check that the mask is not shrunk on array creation when not wanted + a = np.ma.masked_values([1., 2.5, 3.1], 1.5, shrink=False) + assert_equal(a.mask, [0, 0, 0]) + + def test_mod(self): + # Tests mod + (x, y, a10, m1, m2, xm, ym, z, zm, xf) = self.d + assert_equal(mod(x, y), mod(xm, ym)) + test = mod(ym, xm) + assert_equal(test, np.mod(ym, xm)) + assert_equal(test.mask, mask_or(xm.mask, ym.mask)) + test = mod(xm, ym) + assert_equal(test, np.mod(xm, ym)) + assert_equal(test.mask, mask_or(mask_or(xm.mask, ym.mask), (ym == 0))) + + def test_TakeTransposeInnerOuter(self): + # Test of take, transpose, inner, outer products + x = arange(24) + y = np.arange(24) + x[5:6] = masked + x = x.reshape(2, 3, 4) + y = y.reshape(2, 3, 4) + assert_equal(np.transpose(y, (2, 0, 1)), transpose(x, (2, 0, 1))) + assert_equal(np.take(y, (2, 0, 1), 1), take(x, (2, 0, 1), 1)) + assert_equal(np.inner(filled(x, 0), filled(y, 0)), + inner(x, y)) + assert_equal(np.outer(filled(x, 0), filled(y, 0)), + outer(x, y)) + y = array(['abc', 1, 'def', 2, 3], object) + y[2] = masked + t = take(y, [0, 3, 4]) + assert_(t[0] == 'abc') + assert_(t[1] == 2) + assert_(t[2] == 3) + + def test_imag_real(self): + # Check complex + xx = array([1 + 10j, 20 + 2j], mask=[1, 0]) + assert_equal(xx.imag, [10, 2]) + assert_equal(xx.imag.filled(), [1e+20, 2]) + assert_equal(xx.imag.dtype, xx._data.imag.dtype) + assert_equal(xx.real, [1, 20]) + assert_equal(xx.real.filled(), [1e+20, 20]) + assert_equal(xx.real.dtype, xx._data.real.dtype) + + def test_methods_with_output(self): + xm = array(np.random.uniform(0, 10, 12)).reshape(3, 4) + xm[:, 0] = xm[0] = xm[-1, -1] = masked + + funclist = ('sum', 'prod', 'var', 'std', 'max', 'min', 'ptp', 'mean',) + + for funcname in funclist: + npfunc = getattr(np, funcname) + xmmeth = getattr(xm, funcname) + # A ndarray as explicit input + output = np.empty(4, dtype=float) + output.fill(-9999) + result = npfunc(xm, axis=0, out=output) + # ... the result should be the given output + assert_(result is output) + assert_equal(result, xmmeth(axis=0, out=output)) + + output = empty(4, dtype=int) + result = xmmeth(axis=0, out=output) + assert_(result is output) + assert_(output[0] is masked) + + def test_eq_on_structured(self): + # Test the equality of structured arrays + ndtype = [('A', int), ('B', int)] + a = array([(1, 1), (2, 2)], mask=[(0, 1), (0, 0)], dtype=ndtype) + + test = (a == a) + assert_equal(test.data, [True, True]) + assert_equal(test.mask, [False, False]) + assert_(test.fill_value == True) + + test = (a == a[0]) + assert_equal(test.data, [True, False]) + assert_equal(test.mask, [False, False]) + assert_(test.fill_value == True) + + b = array([(1, 1), (2, 2)], mask=[(1, 0), (0, 0)], dtype=ndtype) + test = (a == b) + assert_equal(test.data, [False, True]) + assert_equal(test.mask, [True, False]) + assert_(test.fill_value == True) + + test = (a[0] == b) + assert_equal(test.data, [False, False]) + assert_equal(test.mask, [True, False]) + assert_(test.fill_value == True) + + b = array([(1, 1), (2, 2)], mask=[(0, 1), (1, 0)], dtype=ndtype) + test = (a == b) + assert_equal(test.data, [True, True]) + assert_equal(test.mask, [False, False]) + assert_(test.fill_value == True) + + # complicated dtype, 2-dimensional array. + ndtype = [('A', int), ('B', [('BA', int), ('BB', int)])] + a = array([[(1, (1, 1)), (2, (2, 2))], + [(3, (3, 3)), (4, (4, 4))]], + mask=[[(0, (1, 0)), (0, (0, 1))], + [(1, (0, 0)), (1, (1, 1))]], dtype=ndtype) + test = (a[0, 0] == a) + assert_equal(test.data, [[True, False], [False, False]]) + assert_equal(test.mask, [[False, False], [False, True]]) + assert_(test.fill_value == True) + + def test_ne_on_structured(self): + # Test the equality of structured arrays + ndtype = [('A', int), ('B', int)] + a = array([(1, 1), (2, 2)], mask=[(0, 1), (0, 0)], dtype=ndtype) + + test = (a != a) + assert_equal(test.data, [False, False]) + assert_equal(test.mask, [False, False]) + assert_(test.fill_value == True) + + test = (a != a[0]) + assert_equal(test.data, [False, True]) + assert_equal(test.mask, [False, False]) + assert_(test.fill_value == True) + + b = array([(1, 1), (2, 2)], mask=[(1, 0), (0, 0)], dtype=ndtype) + test = (a != b) + assert_equal(test.data, [True, False]) + assert_equal(test.mask, [True, False]) + assert_(test.fill_value == True) + + test = (a[0] != b) + assert_equal(test.data, [True, True]) + assert_equal(test.mask, [True, False]) + assert_(test.fill_value == True) + + b = array([(1, 1), (2, 2)], mask=[(0, 1), (1, 0)], dtype=ndtype) + test = (a != b) + assert_equal(test.data, [False, False]) + assert_equal(test.mask, [False, False]) + assert_(test.fill_value == True) + + # complicated dtype, 2-dimensional array. + ndtype = [('A', int), ('B', [('BA', int), ('BB', int)])] + a = array([[(1, (1, 1)), (2, (2, 2))], + [(3, (3, 3)), (4, (4, 4))]], + mask=[[(0, (1, 0)), (0, (0, 1))], + [(1, (0, 0)), (1, (1, 1))]], dtype=ndtype) + test = (a[0, 0] != a) + assert_equal(test.data, [[False, True], [True, True]]) + assert_equal(test.mask, [[False, False], [False, True]]) + assert_(test.fill_value == True) + + def test_eq_ne_structured_with_non_masked(self): + a = array([(1, 1), (2, 2), (3, 4)], + mask=[(0, 1), (0, 0), (1, 1)], dtype='i4,i4') + eq = a == a.data + ne = a.data != a + # Test the obvious. + assert_(np.all(eq)) + assert_(not np.any(ne)) + # Expect the mask set only for items with all fields masked. + expected_mask = a.mask == np.ones((), a.mask.dtype) + assert_array_equal(eq.mask, expected_mask) + assert_array_equal(ne.mask, expected_mask) + # The masked element will indicated not equal, because the + # masks did not match. + assert_equal(eq.data, [True, True, False]) + assert_array_equal(eq.data, ~ne.data) + + def test_eq_ne_structured_extra(self): + # ensure simple examples are symmetric and make sense. + # from https://github.com/numpy/numpy/pull/8590#discussion_r101126465 + dt = np.dtype('i4,i4') + for m1 in (mvoid((1, 2), mask=(0, 0), dtype=dt), + mvoid((1, 2), mask=(0, 1), dtype=dt), + mvoid((1, 2), mask=(1, 0), dtype=dt), + mvoid((1, 2), mask=(1, 1), dtype=dt)): + ma1 = m1.view(MaskedArray) + r1 = ma1.view('2i4') + for m2 in (np.array((1, 1), dtype=dt), + mvoid((1, 1), dtype=dt), + mvoid((1, 0), mask=(0, 1), dtype=dt), + mvoid((3, 2), mask=(0, 1), dtype=dt)): + ma2 = m2.view(MaskedArray) + r2 = ma2.view('2i4') + eq_expected = (r1 == r2).all() + assert_equal(m1 == m2, eq_expected) + assert_equal(m2 == m1, eq_expected) + assert_equal(ma1 == m2, eq_expected) + assert_equal(m1 == ma2, eq_expected) + assert_equal(ma1 == ma2, eq_expected) + # Also check it is the same if we do it element by element. + el_by_el = [m1[name] == m2[name] for name in dt.names] + assert_equal(array(el_by_el, dtype=bool).all(), eq_expected) + ne_expected = (r1 != r2).any() + assert_equal(m1 != m2, ne_expected) + assert_equal(m2 != m1, ne_expected) + assert_equal(ma1 != m2, ne_expected) + assert_equal(m1 != ma2, ne_expected) + assert_equal(ma1 != ma2, ne_expected) + el_by_el = [m1[name] != m2[name] for name in dt.names] + assert_equal(array(el_by_el, dtype=bool).any(), ne_expected) + + @pytest.mark.parametrize('dt', ['S', 'U']) + @pytest.mark.parametrize('fill', [None, 'A']) + def test_eq_for_strings(self, dt, fill): + # Test the equality of structured arrays + a = array(['a', 'b'], dtype=dt, mask=[0, 1], fill_value=fill) + + test = (a == a) + assert_equal(test.data, [True, True]) + assert_equal(test.mask, [False, True]) + assert_(test.fill_value == True) + + test = (a == a[0]) + assert_equal(test.data, [True, False]) + assert_equal(test.mask, [False, True]) + assert_(test.fill_value == True) + + b = array(['a', 'b'], dtype=dt, mask=[1, 0], fill_value=fill) + test = (a == b) + assert_equal(test.data, [False, False]) + assert_equal(test.mask, [True, True]) + assert_(test.fill_value == True) + + test = (a[0] == b) + assert_equal(test.data, [False, False]) + assert_equal(test.mask, [True, False]) + assert_(test.fill_value == True) + + test = (b == a[0]) + assert_equal(test.data, [False, False]) + assert_equal(test.mask, [True, False]) + assert_(test.fill_value == True) + + @pytest.mark.parametrize('dt', ['S', 'U']) + @pytest.mark.parametrize('fill', [None, 'A']) + def test_ne_for_strings(self, dt, fill): + # Test the equality of structured arrays + a = array(['a', 'b'], dtype=dt, mask=[0, 1], fill_value=fill) + + test = (a != a) + assert_equal(test.data, [False, False]) + assert_equal(test.mask, [False, True]) + assert_(test.fill_value == True) + + test = (a != a[0]) + assert_equal(test.data, [False, True]) + assert_equal(test.mask, [False, True]) + assert_(test.fill_value == True) + + b = array(['a', 'b'], dtype=dt, mask=[1, 0], fill_value=fill) + test = (a != b) + assert_equal(test.data, [True, True]) + assert_equal(test.mask, [True, True]) + assert_(test.fill_value == True) + + test = (a[0] != b) + assert_equal(test.data, [True, True]) + assert_equal(test.mask, [True, False]) + assert_(test.fill_value == True) + + test = (b != a[0]) + assert_equal(test.data, [True, True]) + assert_equal(test.mask, [True, False]) + assert_(test.fill_value == True) + + @pytest.mark.parametrize('dt1', num_dts, ids=num_ids) + @pytest.mark.parametrize('dt2', num_dts, ids=num_ids) + @pytest.mark.parametrize('fill', [None, 1]) + def test_eq_for_numeric(self, dt1, dt2, fill): + # Test the equality of structured arrays + a = array([0, 1], dtype=dt1, mask=[0, 1], fill_value=fill) + + test = (a == a) + assert_equal(test.data, [True, True]) + assert_equal(test.mask, [False, True]) + assert_(test.fill_value == True) + + test = (a == a[0]) + assert_equal(test.data, [True, False]) + assert_equal(test.mask, [False, True]) + assert_(test.fill_value == True) + + b = array([0, 1], dtype=dt2, mask=[1, 0], fill_value=fill) + test = (a == b) + assert_equal(test.data, [False, False]) + assert_equal(test.mask, [True, True]) + assert_(test.fill_value == True) + + test = (a[0] == b) + assert_equal(test.data, [False, False]) + assert_equal(test.mask, [True, False]) + assert_(test.fill_value == True) + + test = (b == a[0]) + assert_equal(test.data, [False, False]) + assert_equal(test.mask, [True, False]) + assert_(test.fill_value == True) + + @pytest.mark.parametrize("op", [operator.eq, operator.lt]) + def test_eq_broadcast_with_unmasked(self, op): + a = array([0, 1], mask=[0, 1]) + b = np.arange(10).reshape(5, 2) + result = op(a, b) + assert_(result.mask.shape == b.shape) + assert_equal(result.mask, np.zeros(b.shape, bool) | a.mask) + + @pytest.mark.parametrize("op", [operator.eq, operator.gt]) + def test_comp_no_mask_not_broadcast(self, op): + # Regression test for failing doctest in MaskedArray.nonzero + # after gh-24556. + a = array([[1, 2, 3], [4, 5, 6], [7, 8, 9]]) + result = op(a, 3) + assert_(not result.mask.shape) + assert_(result.mask is nomask) + + @pytest.mark.parametrize('dt1', num_dts, ids=num_ids) + @pytest.mark.parametrize('dt2', num_dts, ids=num_ids) + @pytest.mark.parametrize('fill', [None, 1]) + def test_ne_for_numeric(self, dt1, dt2, fill): + # Test the equality of structured arrays + a = array([0, 1], dtype=dt1, mask=[0, 1], fill_value=fill) + + test = (a != a) + assert_equal(test.data, [False, False]) + assert_equal(test.mask, [False, True]) + assert_(test.fill_value == True) + + test = (a != a[0]) + assert_equal(test.data, [False, True]) + assert_equal(test.mask, [False, True]) + assert_(test.fill_value == True) + + b = array([0, 1], dtype=dt2, mask=[1, 0], fill_value=fill) + test = (a != b) + assert_equal(test.data, [True, True]) + assert_equal(test.mask, [True, True]) + assert_(test.fill_value == True) + + test = (a[0] != b) + assert_equal(test.data, [True, True]) + assert_equal(test.mask, [True, False]) + assert_(test.fill_value == True) + + test = (b != a[0]) + assert_equal(test.data, [True, True]) + assert_equal(test.mask, [True, False]) + assert_(test.fill_value == True) + + @pytest.mark.parametrize('dt1', num_dts, ids=num_ids) + @pytest.mark.parametrize('dt2', num_dts, ids=num_ids) + @pytest.mark.parametrize('fill', [None, 1]) + @pytest.mark.parametrize('op', + [operator.le, operator.lt, operator.ge, operator.gt]) + def test_comparisons_for_numeric(self, op, dt1, dt2, fill): + # Test the equality of structured arrays + a = array([0, 1], dtype=dt1, mask=[0, 1], fill_value=fill) + + test = op(a, a) + assert_equal(test.data, op(a._data, a._data)) + assert_equal(test.mask, [False, True]) + assert_(test.fill_value == True) + + test = op(a, a[0]) + assert_equal(test.data, op(a._data, a._data[0])) + assert_equal(test.mask, [False, True]) + assert_(test.fill_value == True) + + b = array([0, 1], dtype=dt2, mask=[1, 0], fill_value=fill) + test = op(a, b) + assert_equal(test.data, op(a._data, b._data)) + assert_equal(test.mask, [True, True]) + assert_(test.fill_value == True) + + test = op(a[0], b) + assert_equal(test.data, op(a._data[0], b._data)) + assert_equal(test.mask, [True, False]) + assert_(test.fill_value == True) + + test = op(b, a[0]) + assert_equal(test.data, op(b._data, a._data[0])) + assert_equal(test.mask, [True, False]) + assert_(test.fill_value == True) + + @pytest.mark.parametrize('op', + [operator.le, operator.lt, operator.ge, operator.gt]) + @pytest.mark.parametrize('fill', [None, "N/A"]) + def test_comparisons_strings(self, op, fill): + # See gh-21770, mask propagation is broken for strings (and some other + # cases) so we explicitly test strings here. + # In principle only == and != may need special handling... + ma1 = masked_array(["a", "b", "cde"], mask=[0, 1, 0], fill_value=fill) + ma2 = masked_array(["cde", "b", "a"], mask=[0, 1, 0], fill_value=fill) + assert_equal(op(ma1, ma2)._data, op(ma1._data, ma2._data)) + + def test_eq_with_None(self): + # Really, comparisons with None should not be done, but check them + # anyway. Note that pep8 will flag these tests. + # Deprecation is in place for arrays, and when it happens this + # test will fail (and have to be changed accordingly). + + # With partial mask + with suppress_warnings() as sup: + sup.filter(FutureWarning, "Comparison to `None`") + a = array([None, 1], mask=[0, 1]) + assert_equal(a == None, array([True, False], mask=[0, 1])) + assert_equal(a.data == None, [True, False]) + assert_equal(a != None, array([False, True], mask=[0, 1])) + # With nomask + a = array([None, 1], mask=False) + assert_equal(a == None, [True, False]) + assert_equal(a != None, [False, True]) + # With complete mask + a = array([None, 2], mask=True) + assert_equal(a == None, array([False, True], mask=True)) + assert_equal(a != None, array([True, False], mask=True)) + # Fully masked, even comparison to None should return "masked" + a = masked + assert_equal(a == None, masked) + + def test_eq_with_scalar(self): + a = array(1) + assert_equal(a == 1, True) + assert_equal(a == 0, False) + assert_equal(a != 1, False) + assert_equal(a != 0, True) + b = array(1, mask=True) + assert_equal(b == 0, masked) + assert_equal(b == 1, masked) + assert_equal(b != 0, masked) + assert_equal(b != 1, masked) + + def test_eq_different_dimensions(self): + m1 = array([1, 1], mask=[0, 1]) + # test comparison with both masked and regular arrays. + for m2 in (array([[0, 1], [1, 2]]), + np.array([[0, 1], [1, 2]])): + test = (m1 == m2) + assert_equal(test.data, [[False, False], + [True, False]]) + assert_equal(test.mask, [[False, True], + [False, True]]) + + def test_numpyarithmetic(self): + # Check that the mask is not back-propagated when using numpy functions + a = masked_array([-1, 0, 1, 2, 3], mask=[0, 0, 0, 0, 1]) + control = masked_array([np.nan, np.nan, 0, np.log(2), -1], + mask=[1, 1, 0, 0, 1]) + + test = log(a) + assert_equal(test, control) + assert_equal(test.mask, control.mask) + assert_equal(a.mask, [0, 0, 0, 0, 1]) + + test = np.log(a) + assert_equal(test, control) + assert_equal(test.mask, control.mask) + assert_equal(a.mask, [0, 0, 0, 0, 1]) + + +class TestMaskedArrayAttributes: + + def test_keepmask(self): + # Tests the keep mask flag + x = masked_array([1, 2, 3], mask=[1, 0, 0]) + mx = masked_array(x) + assert_equal(mx.mask, x.mask) + mx = masked_array(x, mask=[0, 1, 0], keep_mask=False) + assert_equal(mx.mask, [0, 1, 0]) + mx = masked_array(x, mask=[0, 1, 0], keep_mask=True) + assert_equal(mx.mask, [1, 1, 0]) + # We default to true + mx = masked_array(x, mask=[0, 1, 0]) + assert_equal(mx.mask, [1, 1, 0]) + + def test_hardmask(self): + # Test hard_mask + d = arange(5) + n = [0, 0, 0, 1, 1] + m = make_mask(n) + xh = array(d, mask=m, hard_mask=True) + # We need to copy, to avoid updating d in xh ! + xs = array(d, mask=m, hard_mask=False, copy=True) + xh[[1, 4]] = [10, 40] + xs[[1, 4]] = [10, 40] + assert_equal(xh._data, [0, 10, 2, 3, 4]) + assert_equal(xs._data, [0, 10, 2, 3, 40]) + assert_equal(xs.mask, [0, 0, 0, 1, 0]) + assert_(xh._hardmask) + assert_(not xs._hardmask) + xh[1:4] = [10, 20, 30] + xs[1:4] = [10, 20, 30] + assert_equal(xh._data, [0, 10, 20, 3, 4]) + assert_equal(xs._data, [0, 10, 20, 30, 40]) + assert_equal(xs.mask, nomask) + xh[0] = masked + xs[0] = masked + assert_equal(xh.mask, [1, 0, 0, 1, 1]) + assert_equal(xs.mask, [1, 0, 0, 0, 0]) + xh[:] = 1 + xs[:] = 1 + assert_equal(xh._data, [0, 1, 1, 3, 4]) + assert_equal(xs._data, [1, 1, 1, 1, 1]) + assert_equal(xh.mask, [1, 0, 0, 1, 1]) + assert_equal(xs.mask, nomask) + # Switch to soft mask + xh.soften_mask() + xh[:] = arange(5) + assert_equal(xh._data, [0, 1, 2, 3, 4]) + assert_equal(xh.mask, nomask) + # Switch back to hard mask + xh.harden_mask() + xh[xh < 3] = masked + assert_equal(xh._data, [0, 1, 2, 3, 4]) + assert_equal(xh._mask, [1, 1, 1, 0, 0]) + xh[filled(xh > 1, False)] = 5 + assert_equal(xh._data, [0, 1, 2, 5, 5]) + assert_equal(xh._mask, [1, 1, 1, 0, 0]) + + xh = array([[1, 2], [3, 4]], mask=[[1, 0], [0, 0]], hard_mask=True) + xh[0] = 0 + assert_equal(xh._data, [[1, 0], [3, 4]]) + assert_equal(xh._mask, [[1, 0], [0, 0]]) + xh[-1, -1] = 5 + assert_equal(xh._data, [[1, 0], [3, 5]]) + assert_equal(xh._mask, [[1, 0], [0, 0]]) + xh[filled(xh < 5, False)] = 2 + assert_equal(xh._data, [[1, 2], [2, 5]]) + assert_equal(xh._mask, [[1, 0], [0, 0]]) + + def test_hardmask_again(self): + # Another test of hardmask + d = arange(5) + n = [0, 0, 0, 1, 1] + m = make_mask(n) + xh = array(d, mask=m, hard_mask=True) + xh[4:5] = 999 + xh[0:1] = 999 + assert_equal(xh._data, [999, 1, 2, 3, 4]) + + def test_hardmask_oncemore_yay(self): + # OK, yet another test of hardmask + # Make sure that harden_mask/soften_mask//unshare_mask returns self + a = array([1, 2, 3], mask=[1, 0, 0]) + b = a.harden_mask() + assert_equal(a, b) + b[0] = 0 + assert_equal(a, b) + assert_equal(b, array([1, 2, 3], mask=[1, 0, 0])) + a = b.soften_mask() + a[0] = 0 + assert_equal(a, b) + assert_equal(b, array([0, 2, 3], mask=[0, 0, 0])) + + def test_smallmask(self): + # Checks the behaviour of _smallmask + a = arange(10) + a[1] = masked + a[1] = 1 + assert_equal(a._mask, nomask) + a = arange(10) + a._smallmask = False + a[1] = masked + a[1] = 1 + assert_equal(a._mask, zeros(10)) + + def test_shrink_mask(self): + # Tests .shrink_mask() + a = array([1, 2, 3], mask=[0, 0, 0]) + b = a.shrink_mask() + assert_equal(a, b) + assert_equal(a.mask, nomask) + + # Mask cannot be shrunk on structured types, so is a no-op + a = np.ma.array([(1, 2.0)], [('a', int), ('b', float)]) + b = a.copy() + a.shrink_mask() + assert_equal(a.mask, b.mask) + + def test_flat(self): + # Test that flat can return all types of items [#4585, #4615] + # test 2-D record array + # ... on structured array w/ masked records + x = array([[(1, 1.1, 'one'), (2, 2.2, 'two'), (3, 3.3, 'thr')], + [(4, 4.4, 'fou'), (5, 5.5, 'fiv'), (6, 6.6, 'six')]], + dtype=[('a', int), ('b', float), ('c', '|S8')]) + x['a'][0, 1] = masked + x['b'][1, 0] = masked + x['c'][0, 2] = masked + x[-1, -1] = masked + xflat = x.flat + assert_equal(xflat[0], x[0, 0]) + assert_equal(xflat[1], x[0, 1]) + assert_equal(xflat[2], x[0, 2]) + assert_equal(xflat[:3], x[0]) + assert_equal(xflat[3], x[1, 0]) + assert_equal(xflat[4], x[1, 1]) + assert_equal(xflat[5], x[1, 2]) + assert_equal(xflat[3:], x[1]) + assert_equal(xflat[-1], x[-1, -1]) + i = 0 + j = 0 + for xf in xflat: + assert_equal(xf, x[j, i]) + i += 1 + if i >= x.shape[-1]: + i = 0 + j += 1 + + def test_assign_dtype(self): + # check that the mask's dtype is updated when dtype is changed + a = np.zeros(4, dtype='f4,i4') + + m = np.ma.array(a) + m.dtype = np.dtype('f4') + repr(m) # raises? + assert_equal(m.dtype, np.dtype('f4')) + + # check that dtype changes that change shape of mask too much + # are not allowed + def assign(): + m = np.ma.array(a) + m.dtype = np.dtype('f8') + assert_raises(ValueError, assign) + + b = a.view(dtype='f4', type=np.ma.MaskedArray) # raises? + assert_equal(b.dtype, np.dtype('f4')) + + # check that nomask is preserved + a = np.zeros(4, dtype='f4') + m = np.ma.array(a) + m.dtype = np.dtype('f4,i4') + assert_equal(m.dtype, np.dtype('f4,i4')) + assert_equal(m._mask, np.ma.nomask) + + +class TestFillingValues: + + def test_check_on_scalar(self): + # Test _check_fill_value set to valid and invalid values + _check_fill_value = np.ma.core._check_fill_value + + fval = _check_fill_value(0, int) + assert_equal(fval, 0) + fval = _check_fill_value(None, int) + assert_equal(fval, default_fill_value(0)) + + fval = _check_fill_value(0, "|S3") + assert_equal(fval, b"0") + fval = _check_fill_value(None, "|S3") + assert_equal(fval, default_fill_value(b"camelot!")) + assert_raises(TypeError, _check_fill_value, 1e+20, int) + assert_raises(TypeError, _check_fill_value, 'stuff', int) + + def test_check_on_fields(self): + # Tests _check_fill_value with records + _check_fill_value = np.ma.core._check_fill_value + ndtype = [('a', int), ('b', float), ('c', "|S3")] + # A check on a list should return a single record + fval = _check_fill_value([-999, -12345678.9, "???"], ndtype) + assert_(isinstance(fval, ndarray)) + assert_equal(fval.item(), [-999, -12345678.9, b"???"]) + # A check on None should output the defaults + fval = _check_fill_value(None, ndtype) + assert_(isinstance(fval, ndarray)) + assert_equal(fval.item(), [default_fill_value(0), + default_fill_value(0.), + asbytes(default_fill_value("0"))]) + #.....Using a structured type as fill_value should work + fill_val = np.array((-999, -12345678.9, "???"), dtype=ndtype) + fval = _check_fill_value(fill_val, ndtype) + assert_(isinstance(fval, ndarray)) + assert_equal(fval.item(), [-999, -12345678.9, b"???"]) + + #.....Using a flexible type w/ a different type shouldn't matter + # BEHAVIOR in 1.5 and earlier, and 1.13 and later: match structured + # types by position + fill_val = np.array((-999, -12345678.9, "???"), + dtype=[("A", int), ("B", float), ("C", "|S3")]) + fval = _check_fill_value(fill_val, ndtype) + assert_(isinstance(fval, ndarray)) + assert_equal(fval.item(), [-999, -12345678.9, b"???"]) + + #.....Using an object-array shouldn't matter either + fill_val = np.ndarray(shape=(1,), dtype=object) + fill_val[0] = (-999, -12345678.9, b"???") + fval = _check_fill_value(fill_val, object) + assert_(isinstance(fval, ndarray)) + assert_equal(fval.item(), [-999, -12345678.9, b"???"]) + # NOTE: This test was never run properly as "fill_value" rather than + # "fill_val" was assigned. Written properly, it fails. + #fill_val = np.array((-999, -12345678.9, "???")) + #fval = _check_fill_value(fill_val, ndtype) + #assert_(isinstance(fval, ndarray)) + #assert_equal(fval.item(), [-999, -12345678.9, b"???"]) + #.....One-field-only flexible type should work as well + ndtype = [("a", int)] + fval = _check_fill_value(-999999999, ndtype) + assert_(isinstance(fval, ndarray)) + assert_equal(fval.item(), (-999999999,)) + + def test_fillvalue_conversion(self): + # Tests the behavior of fill_value during conversion + # We had a tailored comment to make sure special attributes are + # properly dealt with + a = array([b'3', b'4', b'5']) + a._optinfo.update({'comment':"updated!"}) + + b = array(a, dtype=int) + assert_equal(b._data, [3, 4, 5]) + assert_equal(b.fill_value, default_fill_value(0)) + + b = array(a, dtype=float) + assert_equal(b._data, [3, 4, 5]) + assert_equal(b.fill_value, default_fill_value(0.)) + + b = a.astype(int) + assert_equal(b._data, [3, 4, 5]) + assert_equal(b.fill_value, default_fill_value(0)) + assert_equal(b._optinfo['comment'], "updated!") + + b = a.astype([('a', '|S3')]) + assert_equal(b['a']._data, a._data) + assert_equal(b['a'].fill_value, a.fill_value) + + def test_default_fill_value(self): + # check all calling conventions + f1 = default_fill_value(1.) + f2 = default_fill_value(np.array(1.)) + f3 = default_fill_value(np.array(1.).dtype) + assert_equal(f1, f2) + assert_equal(f1, f3) + + def test_default_fill_value_structured(self): + fields = array([(1, 1, 1)], + dtype=[('i', int), ('s', '|S8'), ('f', float)]) + + f1 = default_fill_value(fields) + f2 = default_fill_value(fields.dtype) + expected = np.array((default_fill_value(0), + default_fill_value('0'), + default_fill_value(0.)), dtype=fields.dtype) + assert_equal(f1, expected) + assert_equal(f2, expected) + + def test_default_fill_value_void(self): + dt = np.dtype([('v', 'V7')]) + f = default_fill_value(dt) + assert_equal(f['v'], np.array(default_fill_value(dt['v']), dt['v'])) + + def test_fillvalue(self): + # Yet more fun with the fill_value + data = masked_array([1, 2, 3], fill_value=-999) + series = data[[0, 2, 1]] + assert_equal(series._fill_value, data._fill_value) + + mtype = [('f', float), ('s', '|S3')] + x = array([(1, 'a'), (2, 'b'), (pi, 'pi')], dtype=mtype) + x.fill_value = 999 + assert_equal(x.fill_value.item(), [999., b'999']) + assert_equal(x['f'].fill_value, 999) + assert_equal(x['s'].fill_value, b'999') + + x.fill_value = (9, '???') + assert_equal(x.fill_value.item(), (9, b'???')) + assert_equal(x['f'].fill_value, 9) + assert_equal(x['s'].fill_value, b'???') + + x = array([1, 2, 3.1]) + x.fill_value = 999 + assert_equal(np.asarray(x.fill_value).dtype, float) + assert_equal(x.fill_value, 999.) + assert_equal(x._fill_value, np.array(999.)) + + def test_subarray_fillvalue(self): + # gh-10483 test multi-field index fill value + fields = array([(1, 1, 1)], + dtype=[('i', int), ('s', '|S8'), ('f', float)]) + with suppress_warnings() as sup: + sup.filter(FutureWarning, "Numpy has detected") + subfields = fields[['i', 'f']] + assert_equal(tuple(subfields.fill_value), (999999, 1.e+20)) + # test comparison does not raise: + subfields[1:] == subfields[:-1] + + def test_fillvalue_exotic_dtype(self): + # Tests yet more exotic flexible dtypes + _check_fill_value = np.ma.core._check_fill_value + ndtype = [('i', int), ('s', '|S8'), ('f', float)] + control = np.array((default_fill_value(0), + default_fill_value('0'), + default_fill_value(0.),), + dtype=ndtype) + assert_equal(_check_fill_value(None, ndtype), control) + # The shape shouldn't matter + ndtype = [('f0', float, (2, 2))] + control = np.array((default_fill_value(0.),), + dtype=[('f0', float)]).astype(ndtype) + assert_equal(_check_fill_value(None, ndtype), control) + control = np.array((0,), dtype=[('f0', float)]).astype(ndtype) + assert_equal(_check_fill_value(0, ndtype), control) + + ndtype = np.dtype("int, (2,3)float, float") + control = np.array((default_fill_value(0), + default_fill_value(0.), + default_fill_value(0.),), + dtype="int, float, float").astype(ndtype) + test = _check_fill_value(None, ndtype) + assert_equal(test, control) + control = np.array((0, 0, 0), dtype="int, float, float").astype(ndtype) + assert_equal(_check_fill_value(0, ndtype), control) + # but when indexing, fill value should become scalar not tuple + # See issue #6723 + M = masked_array(control) + assert_equal(M["f1"].fill_value.ndim, 0) + + def test_fillvalue_datetime_timedelta(self): + # Test default fillvalue for datetime64 and timedelta64 types. + # See issue #4476, this would return '?' which would cause errors + # elsewhere + + for timecode in ("as", "fs", "ps", "ns", "us", "ms", "s", "m", + "h", "D", "W", "M", "Y"): + control = numpy.datetime64("NaT", timecode) + test = default_fill_value(numpy.dtype(" 0 + + # test different unary domains + sqrt(m) + log(m) + tan(m) + arcsin(m) + arccos(m) + arccosh(m) + + # test binary domains + divide(m, 2) + + # also check that allclose uses ma ufuncs, to avoid warning + allclose(m, 0.5) + +class TestMaskedArrayInPlaceArithmetic: + # Test MaskedArray Arithmetic + + def setup_method(self): + x = arange(10) + y = arange(10) + xm = arange(10) + xm[2] = masked + self.intdata = (x, y, xm) + self.floatdata = (x.astype(float), y.astype(float), xm.astype(float)) + self.othertypes = np.typecodes['AllInteger'] + np.typecodes['AllFloat'] + self.othertypes = [np.dtype(_).type for _ in self.othertypes] + self.uint8data = ( + x.astype(np.uint8), + y.astype(np.uint8), + xm.astype(np.uint8) + ) + + def test_inplace_addition_scalar(self): + # Test of inplace additions + (x, y, xm) = self.intdata + xm[2] = masked + x += 1 + assert_equal(x, y + 1) + xm += 1 + assert_equal(xm, y + 1) + + (x, _, xm) = self.floatdata + id1 = x.data.ctypes.data + x += 1. + assert_(id1 == x.data.ctypes.data) + assert_equal(x, y + 1.) + + def test_inplace_addition_array(self): + # Test of inplace additions + (x, y, xm) = self.intdata + m = xm.mask + a = arange(10, dtype=np.int16) + a[-1] = masked + x += a + xm += a + assert_equal(x, y + a) + assert_equal(xm, y + a) + assert_equal(xm.mask, mask_or(m, a.mask)) + + def test_inplace_subtraction_scalar(self): + # Test of inplace subtractions + (x, y, xm) = self.intdata + x -= 1 + assert_equal(x, y - 1) + xm -= 1 + assert_equal(xm, y - 1) + + def test_inplace_subtraction_array(self): + # Test of inplace subtractions + (x, y, xm) = self.floatdata + m = xm.mask + a = arange(10, dtype=float) + a[-1] = masked + x -= a + xm -= a + assert_equal(x, y - a) + assert_equal(xm, y - a) + assert_equal(xm.mask, mask_or(m, a.mask)) + + def test_inplace_multiplication_scalar(self): + # Test of inplace multiplication + (x, y, xm) = self.floatdata + x *= 2.0 + assert_equal(x, y * 2) + xm *= 2.0 + assert_equal(xm, y * 2) + + def test_inplace_multiplication_array(self): + # Test of inplace multiplication + (x, y, xm) = self.floatdata + m = xm.mask + a = arange(10, dtype=float) + a[-1] = masked + x *= a + xm *= a + assert_equal(x, y * a) + assert_equal(xm, y * a) + assert_equal(xm.mask, mask_or(m, a.mask)) + + def test_inplace_division_scalar_int(self): + # Test of inplace division + (x, y, xm) = self.intdata + x = arange(10) * 2 + xm = arange(10) * 2 + xm[2] = masked + x //= 2 + assert_equal(x, y) + xm //= 2 + assert_equal(xm, y) + + def test_inplace_division_scalar_float(self): + # Test of inplace division + (x, y, xm) = self.floatdata + x /= 2.0 + assert_equal(x, y / 2.0) + xm /= arange(10) + assert_equal(xm, ones((10,))) + + def test_inplace_division_array_float(self): + # Test of inplace division + (x, y, xm) = self.floatdata + m = xm.mask + a = arange(10, dtype=float) + a[-1] = masked + x /= a + xm /= a + assert_equal(x, y / a) + assert_equal(xm, y / a) + assert_equal(xm.mask, mask_or(mask_or(m, a.mask), (a == 0))) + + def test_inplace_division_misc(self): + + x = [1., 1., 1., -2., pi / 2., 4., 5., -10., 10., 1., 2., 3.] + y = [5., 0., 3., 2., -1., -4., 0., -10., 10., 1., 0., 3.] + m1 = [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0] + m2 = [0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1] + xm = masked_array(x, mask=m1) + ym = masked_array(y, mask=m2) + + z = xm / ym + assert_equal(z._mask, [1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1]) + assert_equal(z._data, + [1., 1., 1., -1., -pi / 2., 4., 5., 1., 1., 1., 2., 3.]) + + xm = xm.copy() + xm /= ym + assert_equal(xm._mask, [1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1]) + assert_equal(z._data, + [1., 1., 1., -1., -pi / 2., 4., 5., 1., 1., 1., 2., 3.]) + + def test_datafriendly_add(self): + # Test keeping data w/ (inplace) addition + x = array([1, 2, 3], mask=[0, 0, 1]) + # Test add w/ scalar + xx = x + 1 + assert_equal(xx.data, [2, 3, 3]) + assert_equal(xx.mask, [0, 0, 1]) + # Test iadd w/ scalar + x += 1 + assert_equal(x.data, [2, 3, 3]) + assert_equal(x.mask, [0, 0, 1]) + # Test add w/ array + x = array([1, 2, 3], mask=[0, 0, 1]) + xx = x + array([1, 2, 3], mask=[1, 0, 0]) + assert_equal(xx.data, [1, 4, 3]) + assert_equal(xx.mask, [1, 0, 1]) + # Test iadd w/ array + x = array([1, 2, 3], mask=[0, 0, 1]) + x += array([1, 2, 3], mask=[1, 0, 0]) + assert_equal(x.data, [1, 4, 3]) + assert_equal(x.mask, [1, 0, 1]) + + def test_datafriendly_sub(self): + # Test keeping data w/ (inplace) subtraction + # Test sub w/ scalar + x = array([1, 2, 3], mask=[0, 0, 1]) + xx = x - 1 + assert_equal(xx.data, [0, 1, 3]) + assert_equal(xx.mask, [0, 0, 1]) + # Test isub w/ scalar + x = array([1, 2, 3], mask=[0, 0, 1]) + x -= 1 + assert_equal(x.data, [0, 1, 3]) + assert_equal(x.mask, [0, 0, 1]) + # Test sub w/ array + x = array([1, 2, 3], mask=[0, 0, 1]) + xx = x - array([1, 2, 3], mask=[1, 0, 0]) + assert_equal(xx.data, [1, 0, 3]) + assert_equal(xx.mask, [1, 0, 1]) + # Test isub w/ array + x = array([1, 2, 3], mask=[0, 0, 1]) + x -= array([1, 2, 3], mask=[1, 0, 0]) + assert_equal(x.data, [1, 0, 3]) + assert_equal(x.mask, [1, 0, 1]) + + def test_datafriendly_mul(self): + # Test keeping data w/ (inplace) multiplication + # Test mul w/ scalar + x = array([1, 2, 3], mask=[0, 0, 1]) + xx = x * 2 + assert_equal(xx.data, [2, 4, 3]) + assert_equal(xx.mask, [0, 0, 1]) + # Test imul w/ scalar + x = array([1, 2, 3], mask=[0, 0, 1]) + x *= 2 + assert_equal(x.data, [2, 4, 3]) + assert_equal(x.mask, [0, 0, 1]) + # Test mul w/ array + x = array([1, 2, 3], mask=[0, 0, 1]) + xx = x * array([10, 20, 30], mask=[1, 0, 0]) + assert_equal(xx.data, [1, 40, 3]) + assert_equal(xx.mask, [1, 0, 1]) + # Test imul w/ array + x = array([1, 2, 3], mask=[0, 0, 1]) + x *= array([10, 20, 30], mask=[1, 0, 0]) + assert_equal(x.data, [1, 40, 3]) + assert_equal(x.mask, [1, 0, 1]) + + def test_datafriendly_div(self): + # Test keeping data w/ (inplace) division + # Test div on scalar + x = array([1, 2, 3], mask=[0, 0, 1]) + xx = x / 2. + assert_equal(xx.data, [1 / 2., 2 / 2., 3]) + assert_equal(xx.mask, [0, 0, 1]) + # Test idiv on scalar + x = array([1., 2., 3.], mask=[0, 0, 1]) + x /= 2. + assert_equal(x.data, [1 / 2., 2 / 2., 3]) + assert_equal(x.mask, [0, 0, 1]) + # Test div on array + x = array([1., 2., 3.], mask=[0, 0, 1]) + xx = x / array([10., 20., 30.], mask=[1, 0, 0]) + assert_equal(xx.data, [1., 2. / 20., 3.]) + assert_equal(xx.mask, [1, 0, 1]) + # Test idiv on array + x = array([1., 2., 3.], mask=[0, 0, 1]) + x /= array([10., 20., 30.], mask=[1, 0, 0]) + assert_equal(x.data, [1., 2 / 20., 3.]) + assert_equal(x.mask, [1, 0, 1]) + + def test_datafriendly_pow(self): + # Test keeping data w/ (inplace) power + # Test pow on scalar + x = array([1., 2., 3.], mask=[0, 0, 1]) + xx = x ** 2.5 + assert_equal(xx.data, [1., 2. ** 2.5, 3.]) + assert_equal(xx.mask, [0, 0, 1]) + # Test ipow on scalar + x **= 2.5 + assert_equal(x.data, [1., 2. ** 2.5, 3]) + assert_equal(x.mask, [0, 0, 1]) + + def test_datafriendly_add_arrays(self): + a = array([[1, 1], [3, 3]]) + b = array([1, 1], mask=[0, 0]) + a += b + assert_equal(a, [[2, 2], [4, 4]]) + if a.mask is not nomask: + assert_equal(a.mask, [[0, 0], [0, 0]]) + + a = array([[1, 1], [3, 3]]) + b = array([1, 1], mask=[0, 1]) + a += b + assert_equal(a, [[2, 2], [4, 4]]) + assert_equal(a.mask, [[0, 1], [0, 1]]) + + def test_datafriendly_sub_arrays(self): + a = array([[1, 1], [3, 3]]) + b = array([1, 1], mask=[0, 0]) + a -= b + assert_equal(a, [[0, 0], [2, 2]]) + if a.mask is not nomask: + assert_equal(a.mask, [[0, 0], [0, 0]]) + + a = array([[1, 1], [3, 3]]) + b = array([1, 1], mask=[0, 1]) + a -= b + assert_equal(a, [[0, 0], [2, 2]]) + assert_equal(a.mask, [[0, 1], [0, 1]]) + + def test_datafriendly_mul_arrays(self): + a = array([[1, 1], [3, 3]]) + b = array([1, 1], mask=[0, 0]) + a *= b + assert_equal(a, [[1, 1], [3, 3]]) + if a.mask is not nomask: + assert_equal(a.mask, [[0, 0], [0, 0]]) + + a = array([[1, 1], [3, 3]]) + b = array([1, 1], mask=[0, 1]) + a *= b + assert_equal(a, [[1, 1], [3, 3]]) + assert_equal(a.mask, [[0, 1], [0, 1]]) + + def test_inplace_addition_scalar_type(self): + # Test of inplace additions + for t in self.othertypes: + with warnings.catch_warnings(): + warnings.filterwarnings("error") + (x, y, xm) = (_.astype(t) for _ in self.uint8data) + xm[2] = masked + x += t(1) + assert_equal(x, y + t(1)) + xm += t(1) + assert_equal(xm, y + t(1)) + + def test_inplace_addition_array_type(self): + # Test of inplace additions + for t in self.othertypes: + with warnings.catch_warnings(): + warnings.filterwarnings("error") + (x, y, xm) = (_.astype(t) for _ in self.uint8data) + m = xm.mask + a = arange(10, dtype=t) + a[-1] = masked + x += a + xm += a + assert_equal(x, y + a) + assert_equal(xm, y + a) + assert_equal(xm.mask, mask_or(m, a.mask)) + + def test_inplace_subtraction_scalar_type(self): + # Test of inplace subtractions + for t in self.othertypes: + with warnings.catch_warnings(): + warnings.filterwarnings("error") + (x, y, xm) = (_.astype(t) for _ in self.uint8data) + x -= t(1) + assert_equal(x, y - t(1)) + xm -= t(1) + assert_equal(xm, y - t(1)) + + def test_inplace_subtraction_array_type(self): + # Test of inplace subtractions + for t in self.othertypes: + with warnings.catch_warnings(): + warnings.filterwarnings("error") + (x, y, xm) = (_.astype(t) for _ in self.uint8data) + m = xm.mask + a = arange(10, dtype=t) + a[-1] = masked + x -= a + xm -= a + assert_equal(x, y - a) + assert_equal(xm, y - a) + assert_equal(xm.mask, mask_or(m, a.mask)) + + def test_inplace_multiplication_scalar_type(self): + # Test of inplace multiplication + for t in self.othertypes: + with warnings.catch_warnings(): + warnings.filterwarnings("error") + (x, y, xm) = (_.astype(t) for _ in self.uint8data) + x *= t(2) + assert_equal(x, y * t(2)) + xm *= t(2) + assert_equal(xm, y * t(2)) + + def test_inplace_multiplication_array_type(self): + # Test of inplace multiplication + for t in self.othertypes: + with warnings.catch_warnings(): + warnings.filterwarnings("error") + (x, y, xm) = (_.astype(t) for _ in self.uint8data) + m = xm.mask + a = arange(10, dtype=t) + a[-1] = masked + x *= a + xm *= a + assert_equal(x, y * a) + assert_equal(xm, y * a) + assert_equal(xm.mask, mask_or(m, a.mask)) + + def test_inplace_floor_division_scalar_type(self): + # Test of inplace division + # Check for TypeError in case of unsupported types + unsupported = {np.dtype(t).type for t in np.typecodes["Complex"]} + for t in self.othertypes: + with warnings.catch_warnings(): + warnings.filterwarnings("error") + (x, y, xm) = (_.astype(t) for _ in self.uint8data) + x = arange(10, dtype=t) * t(2) + xm = arange(10, dtype=t) * t(2) + xm[2] = masked + try: + x //= t(2) + xm //= t(2) + assert_equal(x, y) + assert_equal(xm, y) + except TypeError: + msg = f"Supported type {t} throwing TypeError" + assert t in unsupported, msg + + def test_inplace_floor_division_array_type(self): + # Test of inplace division + # Check for TypeError in case of unsupported types + unsupported = {np.dtype(t).type for t in np.typecodes["Complex"]} + for t in self.othertypes: + with warnings.catch_warnings(): + warnings.filterwarnings("error") + (x, y, xm) = (_.astype(t) for _ in self.uint8data) + m = xm.mask + a = arange(10, dtype=t) + a[-1] = masked + try: + x //= a + xm //= a + assert_equal(x, y // a) + assert_equal(xm, y // a) + assert_equal( + xm.mask, + mask_or(mask_or(m, a.mask), (a == t(0))) + ) + except TypeError: + msg = f"Supported type {t} throwing TypeError" + assert t in unsupported, msg + + def test_inplace_division_scalar_type(self): + # Test of inplace division + for t in self.othertypes: + with suppress_warnings() as sup: + sup.record(UserWarning) + + (x, y, xm) = (_.astype(t) for _ in self.uint8data) + x = arange(10, dtype=t) * t(2) + xm = arange(10, dtype=t) * t(2) + xm[2] = masked + + # May get a DeprecationWarning or a TypeError. + # + # This is a consequence of the fact that this is true divide + # and will require casting to float for calculation and + # casting back to the original type. This will only be raised + # with integers. Whether it is an error or warning is only + # dependent on how stringent the casting rules are. + # + # Will handle the same way. + try: + x /= t(2) + assert_equal(x, y) + except (DeprecationWarning, TypeError) as e: + warnings.warn(str(e), stacklevel=1) + try: + xm /= t(2) + assert_equal(xm, y) + except (DeprecationWarning, TypeError) as e: + warnings.warn(str(e), stacklevel=1) + + if issubclass(t, np.integer): + assert_equal(len(sup.log), 2, f'Failed on type={t}.') + else: + assert_equal(len(sup.log), 0, f'Failed on type={t}.') + + def test_inplace_division_array_type(self): + # Test of inplace division + for t in self.othertypes: + with suppress_warnings() as sup: + sup.record(UserWarning) + (x, y, xm) = (_.astype(t) for _ in self.uint8data) + m = xm.mask + a = arange(10, dtype=t) + a[-1] = masked + + # May get a DeprecationWarning or a TypeError. + # + # This is a consequence of the fact that this is true divide + # and will require casting to float for calculation and + # casting back to the original type. This will only be raised + # with integers. Whether it is an error or warning is only + # dependent on how stringent the casting rules are. + # + # Will handle the same way. + try: + x /= a + assert_equal(x, y / a) + except (DeprecationWarning, TypeError) as e: + warnings.warn(str(e), stacklevel=1) + try: + xm /= a + assert_equal(xm, y / a) + assert_equal( + xm.mask, + mask_or(mask_or(m, a.mask), (a == t(0))) + ) + except (DeprecationWarning, TypeError) as e: + warnings.warn(str(e), stacklevel=1) + + if issubclass(t, np.integer): + assert_equal(len(sup.log), 2, f'Failed on type={t}.') + else: + assert_equal(len(sup.log), 0, f'Failed on type={t}.') + + def test_inplace_pow_type(self): + # Test keeping data w/ (inplace) power + for t in self.othertypes: + with warnings.catch_warnings(): + warnings.filterwarnings("error") + # Test pow on scalar + x = array([1, 2, 3], mask=[0, 0, 1], dtype=t) + xx = x ** t(2) + xx_r = array([1, 2 ** 2, 3], mask=[0, 0, 1], dtype=t) + assert_equal(xx.data, xx_r.data) + assert_equal(xx.mask, xx_r.mask) + # Test ipow on scalar + x **= t(2) + assert_equal(x.data, xx_r.data) + assert_equal(x.mask, xx_r.mask) + + +class TestMaskedArrayMethods: + # Test class for miscellaneous MaskedArrays methods. + def setup_method(self): + # Base data definition. + x = np.array([8.375, 7.545, 8.828, 8.5, 1.757, 5.928, + 8.43, 7.78, 9.865, 5.878, 8.979, 4.732, + 3.012, 6.022, 5.095, 3.116, 5.238, 3.957, + 6.04, 9.63, 7.712, 3.382, 4.489, 6.479, + 7.189, 9.645, 5.395, 4.961, 9.894, 2.893, + 7.357, 9.828, 6.272, 3.758, 6.693, 0.993]) + X = x.reshape(6, 6) + XX = x.reshape(3, 2, 2, 3) + + m = np.array([0, 1, 0, 1, 0, 0, + 1, 0, 1, 1, 0, 1, + 0, 0, 0, 1, 0, 1, + 0, 0, 0, 1, 1, 1, + 1, 0, 0, 1, 0, 0, + 0, 0, 1, 0, 1, 0]) + mx = array(data=x, mask=m) + mX = array(data=X, mask=m.reshape(X.shape)) + mXX = array(data=XX, mask=m.reshape(XX.shape)) + + m2 = np.array([1, 1, 0, 1, 0, 0, + 1, 1, 1, 1, 0, 1, + 0, 0, 1, 1, 0, 1, + 0, 0, 0, 1, 1, 1, + 1, 0, 0, 1, 1, 0, + 0, 0, 1, 0, 1, 1]) + m2x = array(data=x, mask=m2) + m2X = array(data=X, mask=m2.reshape(X.shape)) + m2XX = array(data=XX, mask=m2.reshape(XX.shape)) + self.d = (x, X, XX, m, mx, mX, mXX, m2x, m2X, m2XX) + + def test_generic_methods(self): + # Tests some MaskedArray methods. + a = array([1, 3, 2]) + assert_equal(a.any(), a._data.any()) + assert_equal(a.all(), a._data.all()) + assert_equal(a.argmax(), a._data.argmax()) + assert_equal(a.argmin(), a._data.argmin()) + assert_equal(a.choose(0, 1, 2, 3, 4), a._data.choose(0, 1, 2, 3, 4)) + assert_equal(a.compress([1, 0, 1]), a._data.compress([1, 0, 1])) + assert_equal(a.conj(), a._data.conj()) + assert_equal(a.conjugate(), a._data.conjugate()) + + m = array([[1, 2], [3, 4]]) + assert_equal(m.diagonal(), m._data.diagonal()) + assert_equal(a.sum(), a._data.sum()) + assert_equal(a.take([1, 2]), a._data.take([1, 2])) + assert_equal(m.transpose(), m._data.transpose()) + + def test_allclose(self): + # Tests allclose on arrays + a = np.random.rand(10) + b = a + np.random.rand(10) * 1e-8 + assert_(allclose(a, b)) + # Test allclose w/ infs + a[0] = np.inf + assert_(not allclose(a, b)) + b[0] = np.inf + assert_(allclose(a, b)) + # Test allclose w/ masked + a = masked_array(a) + a[-1] = masked + assert_(allclose(a, b, masked_equal=True)) + assert_(not allclose(a, b, masked_equal=False)) + # Test comparison w/ scalar + a *= 1e-8 + a[0] = 0 + assert_(allclose(a, 0, masked_equal=True)) + + # Test that the function works for MIN_INT integer typed arrays + a = masked_array([np.iinfo(np.int_).min], dtype=np.int_) + assert_(allclose(a, a)) + + def test_allclose_timedelta(self): + # Allclose currently works for timedelta64 as long as `atol` is + # an integer or also a timedelta64 + a = np.array([[1, 2, 3, 4]], dtype="m8[ns]") + assert allclose(a, a, atol=0) + assert allclose(a, a, atol=np.timedelta64(1, "ns")) + + def test_allany(self): + # Checks the any/all methods/functions. + x = np.array([[0.13, 0.26, 0.90], + [0.28, 0.33, 0.63], + [0.31, 0.87, 0.70]]) + m = np.array([[True, False, False], + [False, False, False], + [True, True, False]], dtype=np.bool_) + mx = masked_array(x, mask=m) + mxbig = (mx > 0.5) + mxsmall = (mx < 0.5) + + assert_(not mxbig.all()) + assert_(mxbig.any()) + assert_equal(mxbig.all(0), [False, False, True]) + assert_equal(mxbig.all(1), [False, False, True]) + assert_equal(mxbig.any(0), [False, False, True]) + assert_equal(mxbig.any(1), [True, True, True]) + + assert_(not mxsmall.all()) + assert_(mxsmall.any()) + assert_equal(mxsmall.all(0), [True, True, False]) + assert_equal(mxsmall.all(1), [False, False, False]) + assert_equal(mxsmall.any(0), [True, True, False]) + assert_equal(mxsmall.any(1), [True, True, False]) + + def test_allany_oddities(self): + # Some fun with all and any + store = empty((), dtype=bool) + full = array([1, 2, 3], mask=True) + + assert_(full.all() is masked) + full.all(out=store) + assert_(store) + assert_(store._mask, True) + assert_(store is not masked) + + store = empty((), dtype=bool) + assert_(full.any() is masked) + full.any(out=store) + assert_(not store) + assert_(store._mask, True) + assert_(store is not masked) + + def test_argmax_argmin(self): + # Tests argmin & argmax on MaskedArrays. + (x, X, XX, m, mx, mX, mXX, m2x, m2X, m2XX) = self.d + + assert_equal(mx.argmin(), 35) + assert_equal(mX.argmin(), 35) + assert_equal(m2x.argmin(), 4) + assert_equal(m2X.argmin(), 4) + assert_equal(mx.argmax(), 28) + assert_equal(mX.argmax(), 28) + assert_equal(m2x.argmax(), 31) + assert_equal(m2X.argmax(), 31) + + assert_equal(mX.argmin(0), [2, 2, 2, 5, 0, 5]) + assert_equal(m2X.argmin(0), [2, 2, 4, 5, 0, 4]) + assert_equal(mX.argmax(0), [0, 5, 0, 5, 4, 0]) + assert_equal(m2X.argmax(0), [5, 5, 0, 5, 1, 0]) + + assert_equal(mX.argmin(1), [4, 1, 0, 0, 5, 5, ]) + assert_equal(m2X.argmin(1), [4, 4, 0, 0, 5, 3]) + assert_equal(mX.argmax(1), [2, 4, 1, 1, 4, 1]) + assert_equal(m2X.argmax(1), [2, 4, 1, 1, 1, 1]) + + def test_clip(self): + # Tests clip on MaskedArrays. + x = np.array([8.375, 7.545, 8.828, 8.5, 1.757, 5.928, + 8.43, 7.78, 9.865, 5.878, 8.979, 4.732, + 3.012, 6.022, 5.095, 3.116, 5.238, 3.957, + 6.04, 9.63, 7.712, 3.382, 4.489, 6.479, + 7.189, 9.645, 5.395, 4.961, 9.894, 2.893, + 7.357, 9.828, 6.272, 3.758, 6.693, 0.993]) + m = np.array([0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, + 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, + 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0]) + mx = array(x, mask=m) + clipped = mx.clip(2, 8) + assert_equal(clipped.mask, mx.mask) + assert_equal(clipped._data, x.clip(2, 8)) + assert_equal(clipped._data, mx._data.clip(2, 8)) + + def test_clip_out(self): + # gh-14140 + a = np.arange(10) + m = np.ma.MaskedArray(a, mask=[0, 1] * 5) + m.clip(0, 5, out=m) + assert_equal(m.mask, [0, 1] * 5) + + def test_compress(self): + # test compress + a = masked_array([1., 2., 3., 4., 5.], fill_value=9999) + condition = (a > 1.5) & (a < 3.5) + assert_equal(a.compress(condition), [2., 3.]) + + a[[2, 3]] = masked + b = a.compress(condition) + assert_equal(b._data, [2., 3.]) + assert_equal(b._mask, [0, 1]) + assert_equal(b.fill_value, 9999) + assert_equal(b, a[condition]) + + condition = (a < 4.) + b = a.compress(condition) + assert_equal(b._data, [1., 2., 3.]) + assert_equal(b._mask, [0, 0, 1]) + assert_equal(b.fill_value, 9999) + assert_equal(b, a[condition]) + + a = masked_array([[10, 20, 30], [40, 50, 60]], + mask=[[0, 0, 1], [1, 0, 0]]) + b = a.compress(a.ravel() >= 22) + assert_equal(b._data, [30, 40, 50, 60]) + assert_equal(b._mask, [1, 1, 0, 0]) + + x = np.array([3, 1, 2]) + b = a.compress(x >= 2, axis=1) + assert_equal(b._data, [[10, 30], [40, 60]]) + assert_equal(b._mask, [[0, 1], [1, 0]]) + + def test_compressed(self): + # Tests compressed + a = array([1, 2, 3, 4], mask=[0, 0, 0, 0]) + b = a.compressed() + assert_equal(b, a) + a[0] = masked + b = a.compressed() + assert_equal(b, [2, 3, 4]) + + def test_empty(self): + # Tests empty/like + datatype = [('a', int), ('b', float), ('c', '|S8')] + a = masked_array([(1, 1.1, '1.1'), (2, 2.2, '2.2'), (3, 3.3, '3.3')], + dtype=datatype) + assert_equal(len(a.fill_value.item()), len(datatype)) + + b = empty_like(a) + assert_equal(b.shape, a.shape) + assert_equal(b.fill_value, a.fill_value) + + b = empty(len(a), dtype=datatype) + assert_equal(b.shape, a.shape) + assert_equal(b.fill_value, a.fill_value) + + # check empty_like mask handling + a = masked_array([1, 2, 3], mask=[False, True, False]) + b = empty_like(a) + assert_(not np.may_share_memory(a.mask, b.mask)) + b = a.view(masked_array) + assert_(np.may_share_memory(a.mask, b.mask)) + + def test_zeros(self): + # Tests zeros/like + datatype = [('a', int), ('b', float), ('c', '|S8')] + a = masked_array([(1, 1.1, '1.1'), (2, 2.2, '2.2'), (3, 3.3, '3.3')], + dtype=datatype) + assert_equal(len(a.fill_value.item()), len(datatype)) + + b = zeros(len(a), dtype=datatype) + assert_equal(b.shape, a.shape) + assert_equal(b.fill_value, a.fill_value) + + b = zeros_like(a) + assert_equal(b.shape, a.shape) + assert_equal(b.fill_value, a.fill_value) + + # check zeros_like mask handling + a = masked_array([1, 2, 3], mask=[False, True, False]) + b = zeros_like(a) + assert_(not np.may_share_memory(a.mask, b.mask)) + b = a.view() + assert_(np.may_share_memory(a.mask, b.mask)) + + def test_ones(self): + # Tests ones/like + datatype = [('a', int), ('b', float), ('c', '|S8')] + a = masked_array([(1, 1.1, '1.1'), (2, 2.2, '2.2'), (3, 3.3, '3.3')], + dtype=datatype) + assert_equal(len(a.fill_value.item()), len(datatype)) + + b = ones(len(a), dtype=datatype) + assert_equal(b.shape, a.shape) + assert_equal(b.fill_value, a.fill_value) + + b = ones_like(a) + assert_equal(b.shape, a.shape) + assert_equal(b.fill_value, a.fill_value) + + # check ones_like mask handling + a = masked_array([1, 2, 3], mask=[False, True, False]) + b = ones_like(a) + assert_(not np.may_share_memory(a.mask, b.mask)) + b = a.view() + assert_(np.may_share_memory(a.mask, b.mask)) + + @suppress_copy_mask_on_assignment + def test_put(self): + # Tests put. + d = arange(5) + n = [0, 0, 0, 1, 1] + m = make_mask(n) + x = array(d, mask=m) + assert_(x[3] is masked) + assert_(x[4] is masked) + x[[1, 4]] = [10, 40] + assert_(x[3] is masked) + assert_(x[4] is not masked) + assert_equal(x, [0, 10, 2, -1, 40]) + + x = masked_array(arange(10), mask=[1, 0, 0, 0, 0] * 2) + i = [0, 2, 4, 6] + x.put(i, [6, 4, 2, 0]) + assert_equal(x, asarray([6, 1, 4, 3, 2, 5, 0, 7, 8, 9, ])) + assert_equal(x.mask, [0, 0, 0, 0, 0, 1, 0, 0, 0, 0]) + x.put(i, masked_array([0, 2, 4, 6], [1, 0, 1, 0])) + assert_array_equal(x, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ]) + assert_equal(x.mask, [1, 0, 0, 0, 1, 1, 0, 0, 0, 0]) + + x = masked_array(arange(10), mask=[1, 0, 0, 0, 0] * 2) + put(x, i, [6, 4, 2, 0]) + assert_equal(x, asarray([6, 1, 4, 3, 2, 5, 0, 7, 8, 9, ])) + assert_equal(x.mask, [0, 0, 0, 0, 0, 1, 0, 0, 0, 0]) + put(x, i, masked_array([0, 2, 4, 6], [1, 0, 1, 0])) + assert_array_equal(x, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ]) + assert_equal(x.mask, [1, 0, 0, 0, 1, 1, 0, 0, 0, 0]) + + def test_put_nomask(self): + # GitHub issue 6425 + x = zeros(10) + z = array([3., -1.], mask=[False, True]) + + x.put([1, 2], z) + assert_(x[0] is not masked) + assert_equal(x[0], 0) + assert_(x[1] is not masked) + assert_equal(x[1], 3) + assert_(x[2] is masked) + assert_(x[3] is not masked) + assert_equal(x[3], 0) + + def test_put_hardmask(self): + # Tests put on hardmask + d = arange(5) + n = [0, 0, 0, 1, 1] + m = make_mask(n) + xh = array(d + 1, mask=m, hard_mask=True, copy=True) + xh.put([4, 2, 0, 1, 3], [1, 2, 3, 4, 5]) + assert_equal(xh._data, [3, 4, 2, 4, 5]) + + def test_putmask(self): + x = arange(6) + 1 + mx = array(x, mask=[0, 0, 0, 1, 1, 1]) + mask = [0, 0, 1, 0, 0, 1] + # w/o mask, w/o masked values + xx = x.copy() + putmask(xx, mask, 99) + assert_equal(xx, [1, 2, 99, 4, 5, 99]) + # w/ mask, w/o masked values + mxx = mx.copy() + putmask(mxx, mask, 99) + assert_equal(mxx._data, [1, 2, 99, 4, 5, 99]) + assert_equal(mxx._mask, [0, 0, 0, 1, 1, 0]) + # w/o mask, w/ masked values + values = array([10, 20, 30, 40, 50, 60], mask=[1, 1, 1, 0, 0, 0]) + xx = x.copy() + putmask(xx, mask, values) + assert_equal(xx._data, [1, 2, 30, 4, 5, 60]) + assert_equal(xx._mask, [0, 0, 1, 0, 0, 0]) + # w/ mask, w/ masked values + mxx = mx.copy() + putmask(mxx, mask, values) + assert_equal(mxx._data, [1, 2, 30, 4, 5, 60]) + assert_equal(mxx._mask, [0, 0, 1, 1, 1, 0]) + # w/ mask, w/ masked values + hardmask + mxx = mx.copy() + mxx.harden_mask() + putmask(mxx, mask, values) + assert_equal(mxx, [1, 2, 30, 4, 5, 60]) + + def test_ravel(self): + # Tests ravel + a = array([[1, 2, 3, 4, 5]], mask=[[0, 1, 0, 0, 0]]) + aravel = a.ravel() + assert_equal(aravel._mask.shape, aravel.shape) + a = array([0, 0], mask=[1, 1]) + aravel = a.ravel() + assert_equal(aravel._mask.shape, a.shape) + # Checks that small_mask is preserved + a = array([1, 2, 3, 4], mask=[0, 0, 0, 0], shrink=False) + assert_equal(a.ravel()._mask, [0, 0, 0, 0]) + # Test that the fill_value is preserved + a.fill_value = -99 + a.shape = (2, 2) + ar = a.ravel() + assert_equal(ar._mask, [0, 0, 0, 0]) + assert_equal(ar._data, [1, 2, 3, 4]) + assert_equal(ar.fill_value, -99) + # Test index ordering + assert_equal(a.ravel(order='C'), [1, 2, 3, 4]) + assert_equal(a.ravel(order='F'), [1, 3, 2, 4]) + + @pytest.mark.parametrize("order", "AKCF") + @pytest.mark.parametrize("data_order", "CF") + def test_ravel_order(self, order, data_order): + # Ravelling must ravel mask and data in the same order always to avoid + # misaligning the two in the ravel result. + arr = np.ones((5, 10), order=data_order) + arr[0, :] = 0 + mask = np.ones((10, 5), dtype=bool, order=data_order).T + mask[0, :] = False + x = array(arr, mask=mask) + assert x._data.flags.fnc != x._mask.flags.fnc + assert (x.filled(0) == 0).all() + raveled = x.ravel(order) + assert (raveled.filled(0) == 0).all() + + # NOTE: Can be wrong if arr order is neither C nor F and `order="K"` + assert_array_equal(arr.ravel(order), x.ravel(order)._data) + + def test_reshape(self): + # Tests reshape + x = arange(4) + x[0] = masked + y = x.reshape(2, 2) + assert_equal(y.shape, (2, 2,)) + assert_equal(y._mask.shape, (2, 2,)) + assert_equal(x.shape, (4,)) + assert_equal(x._mask.shape, (4,)) + + def test_sort(self): + # Test sort + x = array([1, 4, 2, 3], mask=[0, 1, 0, 0], dtype=np.uint8) + + sortedx = sort(x) + assert_equal(sortedx._data, [1, 2, 3, 4]) + assert_equal(sortedx._mask, [0, 0, 0, 1]) + + sortedx = sort(x, endwith=False) + assert_equal(sortedx._data, [4, 1, 2, 3]) + assert_equal(sortedx._mask, [1, 0, 0, 0]) + + x.sort() + assert_equal(x._data, [1, 2, 3, 4]) + assert_equal(x._mask, [0, 0, 0, 1]) + + x = array([1, 4, 2, 3], mask=[0, 1, 0, 0], dtype=np.uint8) + x.sort(endwith=False) + assert_equal(x._data, [4, 1, 2, 3]) + assert_equal(x._mask, [1, 0, 0, 0]) + + x = [1, 4, 2, 3] + sortedx = sort(x) + assert_(not isinstance(sorted, MaskedArray)) + + x = array([0, 1, -1, -2, 2], mask=nomask, dtype=np.int8) + sortedx = sort(x, endwith=False) + assert_equal(sortedx._data, [-2, -1, 0, 1, 2]) + x = array([0, 1, -1, -2, 2], mask=[0, 1, 0, 0, 1], dtype=np.int8) + sortedx = sort(x, endwith=False) + assert_equal(sortedx._data, [1, 2, -2, -1, 0]) + assert_equal(sortedx._mask, [1, 1, 0, 0, 0]) + + x = array([0, -1], dtype=np.int8) + sortedx = sort(x, kind="stable") + assert_equal(sortedx, array([-1, 0], dtype=np.int8)) + + def test_stable_sort(self): + x = array([1, 2, 3, 1, 2, 3], dtype=np.uint8) + expected = array([0, 3, 1, 4, 2, 5]) + computed = argsort(x, kind='stable') + assert_equal(computed, expected) + + def test_argsort_matches_sort(self): + x = array([1, 4, 2, 3], mask=[0, 1, 0, 0], dtype=np.uint8) + + for kwargs in [dict(), + dict(endwith=True), + dict(endwith=False), + dict(fill_value=2), + dict(fill_value=2, endwith=True), + dict(fill_value=2, endwith=False)]: + sortedx = sort(x, **kwargs) + argsortedx = x[argsort(x, **kwargs)] + assert_equal(sortedx._data, argsortedx._data) + assert_equal(sortedx._mask, argsortedx._mask) + + def test_sort_2d(self): + # Check sort of 2D array. + # 2D array w/o mask + a = masked_array([[8, 4, 1], [2, 0, 9]]) + a.sort(0) + assert_equal(a, [[2, 0, 1], [8, 4, 9]]) + a = masked_array([[8, 4, 1], [2, 0, 9]]) + a.sort(1) + assert_equal(a, [[1, 4, 8], [0, 2, 9]]) + # 2D array w/mask + a = masked_array([[8, 4, 1], [2, 0, 9]], mask=[[1, 0, 0], [0, 0, 1]]) + a.sort(0) + assert_equal(a, [[2, 0, 1], [8, 4, 9]]) + assert_equal(a._mask, [[0, 0, 0], [1, 0, 1]]) + a = masked_array([[8, 4, 1], [2, 0, 9]], mask=[[1, 0, 0], [0, 0, 1]]) + a.sort(1) + assert_equal(a, [[1, 4, 8], [0, 2, 9]]) + assert_equal(a._mask, [[0, 0, 1], [0, 0, 1]]) + # 3D + a = masked_array([[[7, 8, 9], [4, 5, 6], [1, 2, 3]], + [[1, 2, 3], [7, 8, 9], [4, 5, 6]], + [[7, 8, 9], [1, 2, 3], [4, 5, 6]], + [[4, 5, 6], [1, 2, 3], [7, 8, 9]]]) + a[a % 4 == 0] = masked + am = a.copy() + an = a.filled(99) + am.sort(0) + an.sort(0) + assert_equal(am, an) + am = a.copy() + an = a.filled(99) + am.sort(1) + an.sort(1) + assert_equal(am, an) + am = a.copy() + an = a.filled(99) + am.sort(2) + an.sort(2) + assert_equal(am, an) + + def test_sort_flexible(self): + # Test sort on structured dtype. + a = array( + data=[(3, 3), (3, 2), (2, 2), (2, 1), (1, 0), (1, 1), (1, 2)], + mask=[(0, 0), (0, 1), (0, 0), (0, 0), (1, 0), (0, 0), (0, 0)], + dtype=[('A', int), ('B', int)]) + mask_last = array( + data=[(1, 1), (1, 2), (2, 1), (2, 2), (3, 3), (3, 2), (1, 0)], + mask=[(0, 0), (0, 0), (0, 0), (0, 0), (0, 0), (0, 1), (1, 0)], + dtype=[('A', int), ('B', int)]) + mask_first = array( + data=[(1, 0), (1, 1), (1, 2), (2, 1), (2, 2), (3, 2), (3, 3)], + mask=[(1, 0), (0, 0), (0, 0), (0, 0), (0, 0), (0, 1), (0, 0)], + dtype=[('A', int), ('B', int)]) + + test = sort(a) + assert_equal(test, mask_last) + assert_equal(test.mask, mask_last.mask) + + test = sort(a, endwith=False) + assert_equal(test, mask_first) + assert_equal(test.mask, mask_first.mask) + + # Test sort on dtype with subarray (gh-8069) + # Just check that the sort does not error, structured array subarrays + # are treated as byte strings and that leads to differing behavior + # depending on endianness and `endwith`. + dt = np.dtype([('v', int, 2)]) + a = a.view(dt) + test = sort(a) + test = sort(a, endwith=False) + + def test_argsort(self): + # Test argsort + a = array([1, 5, 2, 4, 3], mask=[1, 0, 0, 1, 0]) + assert_equal(np.argsort(a), argsort(a)) + + def test_squeeze(self): + # Check squeeze + data = masked_array([[1, 2, 3]]) + assert_equal(data.squeeze(), [1, 2, 3]) + data = masked_array([[1, 2, 3]], mask=[[1, 1, 1]]) + assert_equal(data.squeeze(), [1, 2, 3]) + assert_equal(data.squeeze()._mask, [1, 1, 1]) + + # normal ndarrays return a view + arr = np.array([[1]]) + arr_sq = arr.squeeze() + assert_equal(arr_sq, 1) + arr_sq[...] = 2 + assert_equal(arr[0,0], 2) + + # so maskedarrays should too + m_arr = masked_array([[1]], mask=True) + m_arr_sq = m_arr.squeeze() + assert_(m_arr_sq is not np.ma.masked) + assert_equal(m_arr_sq.mask, True) + m_arr_sq[...] = 2 + assert_equal(m_arr[0,0], 2) + + def test_swapaxes(self): + # Tests swapaxes on MaskedArrays. + x = np.array([8.375, 7.545, 8.828, 8.5, 1.757, 5.928, + 8.43, 7.78, 9.865, 5.878, 8.979, 4.732, + 3.012, 6.022, 5.095, 3.116, 5.238, 3.957, + 6.04, 9.63, 7.712, 3.382, 4.489, 6.479, + 7.189, 9.645, 5.395, 4.961, 9.894, 2.893, + 7.357, 9.828, 6.272, 3.758, 6.693, 0.993]) + m = np.array([0, 1, 0, 1, 0, 0, + 1, 0, 1, 1, 0, 1, + 0, 0, 0, 1, 0, 1, + 0, 0, 0, 1, 1, 1, + 1, 0, 0, 1, 0, 0, + 0, 0, 1, 0, 1, 0]) + mX = array(x, mask=m).reshape(6, 6) + mXX = mX.reshape(3, 2, 2, 3) + + mXswapped = mX.swapaxes(0, 1) + assert_equal(mXswapped[-1], mX[:, -1]) + + mXXswapped = mXX.swapaxes(0, 2) + assert_equal(mXXswapped.shape, (2, 2, 3, 3)) + + def test_take(self): + # Tests take + x = masked_array([10, 20, 30, 40], [0, 1, 0, 1]) + assert_equal(x.take([0, 0, 3]), masked_array([10, 10, 40], [0, 0, 1])) + assert_equal(x.take([0, 0, 3]), x[[0, 0, 3]]) + assert_equal(x.take([[0, 1], [0, 1]]), + masked_array([[10, 20], [10, 20]], [[0, 1], [0, 1]])) + + # assert_equal crashes when passed np.ma.mask + assert_(x[1] is np.ma.masked) + assert_(x.take(1) is np.ma.masked) + + x = array([[10, 20, 30], [40, 50, 60]], mask=[[0, 0, 1], [1, 0, 0, ]]) + assert_equal(x.take([0, 2], axis=1), + array([[10, 30], [40, 60]], mask=[[0, 1], [1, 0]])) + assert_equal(take(x, [0, 2], axis=1), + array([[10, 30], [40, 60]], mask=[[0, 1], [1, 0]])) + + def test_take_masked_indices(self): + # Test take w/ masked indices + a = np.array((40, 18, 37, 9, 22)) + indices = np.arange(3)[None,:] + np.arange(5)[:, None] + mindices = array(indices, mask=(indices >= len(a))) + # No mask + test = take(a, mindices, mode='clip') + ctrl = array([[40, 18, 37], + [18, 37, 9], + [37, 9, 22], + [9, 22, 22], + [22, 22, 22]]) + assert_equal(test, ctrl) + # Masked indices + test = take(a, mindices) + ctrl = array([[40, 18, 37], + [18, 37, 9], + [37, 9, 22], + [9, 22, 40], + [22, 40, 40]]) + ctrl[3, 2] = ctrl[4, 1] = ctrl[4, 2] = masked + assert_equal(test, ctrl) + assert_equal(test.mask, ctrl.mask) + # Masked input + masked indices + a = array((40, 18, 37, 9, 22), mask=(0, 1, 0, 0, 0)) + test = take(a, mindices) + ctrl[0, 1] = ctrl[1, 0] = masked + assert_equal(test, ctrl) + assert_equal(test.mask, ctrl.mask) + + def test_tolist(self): + # Tests to list + # ... on 1D + x = array(np.arange(12)) + x[[1, -2]] = masked + xlist = x.tolist() + assert_(xlist[1] is None) + assert_(xlist[-2] is None) + # ... on 2D + x.shape = (3, 4) + xlist = x.tolist() + ctrl = [[0, None, 2, 3], [4, 5, 6, 7], [8, 9, None, 11]] + assert_equal(xlist[0], [0, None, 2, 3]) + assert_equal(xlist[1], [4, 5, 6, 7]) + assert_equal(xlist[2], [8, 9, None, 11]) + assert_equal(xlist, ctrl) + # ... on structured array w/ masked records + x = array(list(zip([1, 2, 3], + [1.1, 2.2, 3.3], + ['one', 'two', 'thr'])), + dtype=[('a', int), ('b', float), ('c', '|S8')]) + x[-1] = masked + assert_equal(x.tolist(), + [(1, 1.1, b'one'), + (2, 2.2, b'two'), + (None, None, None)]) + # ... on structured array w/ masked fields + a = array([(1, 2,), (3, 4)], mask=[(0, 1), (0, 0)], + dtype=[('a', int), ('b', int)]) + test = a.tolist() + assert_equal(test, [[1, None], [3, 4]]) + # ... on mvoid + a = a[0] + test = a.tolist() + assert_equal(test, [1, None]) + + def test_tolist_specialcase(self): + # Test mvoid.tolist: make sure we return a standard Python object + a = array([(0, 1), (2, 3)], dtype=[('a', int), ('b', int)]) + # w/o mask: each entry is a np.void whose elements are standard Python + for entry in a: + for item in entry.tolist(): + assert_(not isinstance(item, np.generic)) + # w/ mask: each entry is a ma.void whose elements should be + # standard Python + a.mask[0] = (0, 1) + for entry in a: + for item in entry.tolist(): + assert_(not isinstance(item, np.generic)) + + def test_toflex(self): + # Test the conversion to records + data = arange(10) + record = data.toflex() + assert_equal(record['_data'], data._data) + assert_equal(record['_mask'], data._mask) + + data[[0, 1, 2, -1]] = masked + record = data.toflex() + assert_equal(record['_data'], data._data) + assert_equal(record['_mask'], data._mask) + + ndtype = [('i', int), ('s', '|S3'), ('f', float)] + data = array([(i, s, f) for (i, s, f) in zip(np.arange(10), + 'ABCDEFGHIJKLM', + np.random.rand(10))], + dtype=ndtype) + data[[0, 1, 2, -1]] = masked + record = data.toflex() + assert_equal(record['_data'], data._data) + assert_equal(record['_mask'], data._mask) + + ndtype = np.dtype("int, (2,3)float, float") + data = array([(i, f, ff) for (i, f, ff) in zip(np.arange(10), + np.random.rand(10), + np.random.rand(10))], + dtype=ndtype) + data[[0, 1, 2, -1]] = masked + record = data.toflex() + assert_equal_records(record['_data'], data._data) + assert_equal_records(record['_mask'], data._mask) + + def test_fromflex(self): + # Test the reconstruction of a masked_array from a record + a = array([1, 2, 3]) + test = fromflex(a.toflex()) + assert_equal(test, a) + assert_equal(test.mask, a.mask) + + a = array([1, 2, 3], mask=[0, 0, 1]) + test = fromflex(a.toflex()) + assert_equal(test, a) + assert_equal(test.mask, a.mask) + + a = array([(1, 1.), (2, 2.), (3, 3.)], mask=[(1, 0), (0, 0), (0, 1)], + dtype=[('A', int), ('B', float)]) + test = fromflex(a.toflex()) + assert_equal(test, a) + assert_equal(test.data, a.data) + + def test_arraymethod(self): + # Test a _arraymethod w/ n argument + marray = masked_array([[1, 2, 3, 4, 5]], mask=[0, 0, 1, 0, 0]) + control = masked_array([[1], [2], [3], [4], [5]], + mask=[0, 0, 1, 0, 0]) + assert_equal(marray.T, control) + assert_equal(marray.transpose(), control) + + assert_equal(MaskedArray.cumsum(marray.T, 0), control.cumsum(0)) + + def test_arraymethod_0d(self): + # gh-9430 + x = np.ma.array(42, mask=True) + assert_equal(x.T.mask, x.mask) + assert_equal(x.T.data, x.data) + + def test_transpose_view(self): + x = np.ma.array([[1, 2, 3], [4, 5, 6]]) + x[0,1] = np.ma.masked + xt = x.T + + xt[1,0] = 10 + xt[0,1] = np.ma.masked + + assert_equal(x.data, xt.T.data) + assert_equal(x.mask, xt.T.mask) + + def test_diagonal_view(self): + x = np.ma.zeros((3,3)) + x[0,0] = 10 + x[1,1] = np.ma.masked + x[2,2] = 20 + xd = x.diagonal() + x[1,1] = 15 + assert_equal(xd.mask, x.diagonal().mask) + assert_equal(xd.data, x.diagonal().data) + + +class TestMaskedArrayMathMethods: + + def setup_method(self): + # Base data definition. + x = np.array([8.375, 7.545, 8.828, 8.5, 1.757, 5.928, + 8.43, 7.78, 9.865, 5.878, 8.979, 4.732, + 3.012, 6.022, 5.095, 3.116, 5.238, 3.957, + 6.04, 9.63, 7.712, 3.382, 4.489, 6.479, + 7.189, 9.645, 5.395, 4.961, 9.894, 2.893, + 7.357, 9.828, 6.272, 3.758, 6.693, 0.993]) + X = x.reshape(6, 6) + XX = x.reshape(3, 2, 2, 3) + + m = np.array([0, 1, 0, 1, 0, 0, + 1, 0, 1, 1, 0, 1, + 0, 0, 0, 1, 0, 1, + 0, 0, 0, 1, 1, 1, + 1, 0, 0, 1, 0, 0, + 0, 0, 1, 0, 1, 0]) + mx = array(data=x, mask=m) + mX = array(data=X, mask=m.reshape(X.shape)) + mXX = array(data=XX, mask=m.reshape(XX.shape)) + + m2 = np.array([1, 1, 0, 1, 0, 0, + 1, 1, 1, 1, 0, 1, + 0, 0, 1, 1, 0, 1, + 0, 0, 0, 1, 1, 1, + 1, 0, 0, 1, 1, 0, + 0, 0, 1, 0, 1, 1]) + m2x = array(data=x, mask=m2) + m2X = array(data=X, mask=m2.reshape(X.shape)) + m2XX = array(data=XX, mask=m2.reshape(XX.shape)) + self.d = (x, X, XX, m, mx, mX, mXX, m2x, m2X, m2XX) + + def test_cumsumprod(self): + # Tests cumsum & cumprod on MaskedArrays. + (x, X, XX, m, mx, mX, mXX, m2x, m2X, m2XX) = self.d + mXcp = mX.cumsum(0) + assert_equal(mXcp._data, mX.filled(0).cumsum(0)) + mXcp = mX.cumsum(1) + assert_equal(mXcp._data, mX.filled(0).cumsum(1)) + + mXcp = mX.cumprod(0) + assert_equal(mXcp._data, mX.filled(1).cumprod(0)) + mXcp = mX.cumprod(1) + assert_equal(mXcp._data, mX.filled(1).cumprod(1)) + + def test_cumsumprod_with_output(self): + # Tests cumsum/cumprod w/ output + xm = array(np.random.uniform(0, 10, 12)).reshape(3, 4) + xm[:, 0] = xm[0] = xm[-1, -1] = masked + + for funcname in ('cumsum', 'cumprod'): + npfunc = getattr(np, funcname) + xmmeth = getattr(xm, funcname) + + # A ndarray as explicit input + output = np.empty((3, 4), dtype=float) + output.fill(-9999) + result = npfunc(xm, axis=0, out=output) + # ... the result should be the given output + assert_(result is output) + assert_equal(result, xmmeth(axis=0, out=output)) + + output = empty((3, 4), dtype=int) + result = xmmeth(axis=0, out=output) + assert_(result is output) + + def test_ptp(self): + # Tests ptp on MaskedArrays. + (x, X, XX, m, mx, mX, mXX, m2x, m2X, m2XX) = self.d + (n, m) = X.shape + assert_equal(mx.ptp(), mx.compressed().ptp()) + rows = np.zeros(n, float) + cols = np.zeros(m, float) + for k in range(m): + cols[k] = mX[:, k].compressed().ptp() + for k in range(n): + rows[k] = mX[k].compressed().ptp() + assert_equal(mX.ptp(0), cols) + assert_equal(mX.ptp(1), rows) + + def test_add_object(self): + x = masked_array(['a', 'b'], mask=[1, 0], dtype=object) + y = x + 'x' + assert_equal(y[1], 'bx') + assert_(y.mask[0]) + + def test_sum_object(self): + # Test sum on object dtype + a = masked_array([1, 2, 3], mask=[1, 0, 0], dtype=object) + assert_equal(a.sum(), 5) + a = masked_array([[1, 2, 3], [4, 5, 6]], dtype=object) + assert_equal(a.sum(axis=0), [5, 7, 9]) + + def test_prod_object(self): + # Test prod on object dtype + a = masked_array([1, 2, 3], mask=[1, 0, 0], dtype=object) + assert_equal(a.prod(), 2 * 3) + a = masked_array([[1, 2, 3], [4, 5, 6]], dtype=object) + assert_equal(a.prod(axis=0), [4, 10, 18]) + + def test_meananom_object(self): + # Test mean/anom on object dtype + a = masked_array([1, 2, 3], dtype=object) + assert_equal(a.mean(), 2) + assert_equal(a.anom(), [-1, 0, 1]) + + def test_anom_shape(self): + a = masked_array([1, 2, 3]) + assert_equal(a.anom().shape, a.shape) + a.mask = True + assert_equal(a.anom().shape, a.shape) + assert_(np.ma.is_masked(a.anom())) + + def test_anom(self): + a = masked_array(np.arange(1, 7).reshape(2, 3)) + assert_almost_equal(a.anom(), + [[-2.5, -1.5, -0.5], [0.5, 1.5, 2.5]]) + assert_almost_equal(a.anom(axis=0), + [[-1.5, -1.5, -1.5], [1.5, 1.5, 1.5]]) + assert_almost_equal(a.anom(axis=1), + [[-1., 0., 1.], [-1., 0., 1.]]) + a.mask = [[0, 0, 1], [0, 1, 0]] + mval = -99 + assert_almost_equal(a.anom().filled(mval), + [[-2.25, -1.25, mval], [0.75, mval, 2.75]]) + assert_almost_equal(a.anom(axis=0).filled(mval), + [[-1.5, 0.0, mval], [1.5, mval, 0.0]]) + assert_almost_equal(a.anom(axis=1).filled(mval), + [[-0.5, 0.5, mval], [-1.0, mval, 1.0]]) + + def test_trace(self): + # Tests trace on MaskedArrays. + (x, X, XX, m, mx, mX, mXX, m2x, m2X, m2XX) = self.d + mXdiag = mX.diagonal() + assert_equal(mX.trace(), mX.diagonal().compressed().sum()) + assert_almost_equal(mX.trace(), + X.trace() - sum(mXdiag.mask * X.diagonal(), + axis=0)) + assert_equal(np.trace(mX), mX.trace()) + + # gh-5560 + arr = np.arange(2*4*4).reshape(2,4,4) + m_arr = np.ma.masked_array(arr, False) + assert_equal(arr.trace(axis1=1, axis2=2), m_arr.trace(axis1=1, axis2=2)) + + def test_dot(self): + # Tests dot on MaskedArrays. + (x, X, XX, m, mx, mX, mXX, m2x, m2X, m2XX) = self.d + fx = mx.filled(0) + r = mx.dot(mx) + assert_almost_equal(r.filled(0), fx.dot(fx)) + assert_(r.mask is nomask) + + fX = mX.filled(0) + r = mX.dot(mX) + assert_almost_equal(r.filled(0), fX.dot(fX)) + assert_(r.mask[1,3]) + r1 = empty_like(r) + mX.dot(mX, out=r1) + assert_almost_equal(r, r1) + + mYY = mXX.swapaxes(-1, -2) + fXX, fYY = mXX.filled(0), mYY.filled(0) + r = mXX.dot(mYY) + assert_almost_equal(r.filled(0), fXX.dot(fYY)) + r1 = empty_like(r) + mXX.dot(mYY, out=r1) + assert_almost_equal(r, r1) + + def test_dot_shape_mismatch(self): + # regression test + x = masked_array([[1,2],[3,4]], mask=[[0,1],[0,0]]) + y = masked_array([[1,2],[3,4]], mask=[[0,1],[0,0]]) + z = masked_array([[0,1],[3,3]]) + x.dot(y, out=z) + assert_almost_equal(z.filled(0), [[1, 0], [15, 16]]) + assert_almost_equal(z.mask, [[0, 1], [0, 0]]) + + def test_varmean_nomask(self): + # gh-5769 + foo = array([1,2,3,4], dtype='f8') + bar = array([1,2,3,4], dtype='f8') + assert_equal(type(foo.mean()), np.float64) + assert_equal(type(foo.var()), np.float64) + assert((foo.mean() == bar.mean()) is np.bool_(True)) + + # check array type is preserved and out works + foo = array(np.arange(16).reshape((4,4)), dtype='f8') + bar = empty(4, dtype='f4') + assert_equal(type(foo.mean(axis=1)), MaskedArray) + assert_equal(type(foo.var(axis=1)), MaskedArray) + assert_(foo.mean(axis=1, out=bar) is bar) + assert_(foo.var(axis=1, out=bar) is bar) + + def test_varstd(self): + # Tests var & std on MaskedArrays. + (x, X, XX, m, mx, mX, mXX, m2x, m2X, m2XX) = self.d + assert_almost_equal(mX.var(axis=None), mX.compressed().var()) + assert_almost_equal(mX.std(axis=None), mX.compressed().std()) + assert_almost_equal(mX.std(axis=None, ddof=1), + mX.compressed().std(ddof=1)) + assert_almost_equal(mX.var(axis=None, ddof=1), + mX.compressed().var(ddof=1)) + assert_equal(mXX.var(axis=3).shape, XX.var(axis=3).shape) + assert_equal(mX.var().shape, X.var().shape) + (mXvar0, mXvar1) = (mX.var(axis=0), mX.var(axis=1)) + assert_almost_equal(mX.var(axis=None, ddof=2), + mX.compressed().var(ddof=2)) + assert_almost_equal(mX.std(axis=None, ddof=2), + mX.compressed().std(ddof=2)) + for k in range(6): + assert_almost_equal(mXvar1[k], mX[k].compressed().var()) + assert_almost_equal(mXvar0[k], mX[:, k].compressed().var()) + assert_almost_equal(np.sqrt(mXvar0[k]), + mX[:, k].compressed().std()) + + @suppress_copy_mask_on_assignment + def test_varstd_specialcases(self): + # Test a special case for var + nout = np.array(-1, dtype=float) + mout = array(-1, dtype=float) + + x = array(arange(10), mask=True) + for methodname in ('var', 'std'): + method = getattr(x, methodname) + assert_(method() is masked) + assert_(method(0) is masked) + assert_(method(-1) is masked) + # Using a masked array as explicit output + method(out=mout) + assert_(mout is not masked) + assert_equal(mout.mask, True) + # Using a ndarray as explicit output + method(out=nout) + assert_(np.isnan(nout)) + + x = array(arange(10), mask=True) + x[-1] = 9 + for methodname in ('var', 'std'): + method = getattr(x, methodname) + assert_(method(ddof=1) is masked) + assert_(method(0, ddof=1) is masked) + assert_(method(-1, ddof=1) is masked) + # Using a masked array as explicit output + method(out=mout, ddof=1) + assert_(mout is not masked) + assert_equal(mout.mask, True) + # Using a ndarray as explicit output + method(out=nout, ddof=1) + assert_(np.isnan(nout)) + + def test_varstd_ddof(self): + a = array([[1, 1, 0], [1, 1, 0]], mask=[[0, 0, 1], [0, 0, 1]]) + test = a.std(axis=0, ddof=0) + assert_equal(test.filled(0), [0, 0, 0]) + assert_equal(test.mask, [0, 0, 1]) + test = a.std(axis=0, ddof=1) + assert_equal(test.filled(0), [0, 0, 0]) + assert_equal(test.mask, [0, 0, 1]) + test = a.std(axis=0, ddof=2) + assert_equal(test.filled(0), [0, 0, 0]) + assert_equal(test.mask, [1, 1, 1]) + + def test_diag(self): + # Test diag + x = arange(9).reshape((3, 3)) + x[1, 1] = masked + out = np.diag(x) + assert_equal(out, [0, 4, 8]) + out = diag(x) + assert_equal(out, [0, 4, 8]) + assert_equal(out.mask, [0, 1, 0]) + out = diag(out) + control = array([[0, 0, 0], [0, 4, 0], [0, 0, 8]], + mask=[[0, 0, 0], [0, 1, 0], [0, 0, 0]]) + assert_equal(out, control) + + def test_axis_methods_nomask(self): + # Test the combination nomask & methods w/ axis + a = array([[1, 2, 3], [4, 5, 6]]) + + assert_equal(a.sum(0), [5, 7, 9]) + assert_equal(a.sum(-1), [6, 15]) + assert_equal(a.sum(1), [6, 15]) + + assert_equal(a.prod(0), [4, 10, 18]) + assert_equal(a.prod(-1), [6, 120]) + assert_equal(a.prod(1), [6, 120]) + + assert_equal(a.min(0), [1, 2, 3]) + assert_equal(a.min(-1), [1, 4]) + assert_equal(a.min(1), [1, 4]) + + assert_equal(a.max(0), [4, 5, 6]) + assert_equal(a.max(-1), [3, 6]) + assert_equal(a.max(1), [3, 6]) + + @requires_memory(free_bytes=2 * 10000 * 1000 * 2) + def test_mean_overflow(self): + # Test overflow in masked arrays + # gh-20272 + a = masked_array(np.full((10000, 10000), 65535, dtype=np.uint16), + mask=np.zeros((10000, 10000))) + assert_equal(a.mean(), 65535.0) + + def test_diff_with_prepend(self): + # GH 22465 + x = np.array([1, 2, 2, 3, 4, 2, 1, 1]) + + a = np.ma.masked_equal(x[3:], value=2) + a_prep = np.ma.masked_equal(x[:3], value=2) + diff1 = np.ma.diff(a, prepend=a_prep, axis=0) + + b = np.ma.masked_equal(x, value=2) + diff2 = np.ma.diff(b, axis=0) + + assert_(np.ma.allequal(diff1, diff2)) + + def test_diff_with_append(self): + # GH 22465 + x = np.array([1, 2, 2, 3, 4, 2, 1, 1]) + + a = np.ma.masked_equal(x[:3], value=2) + a_app = np.ma.masked_equal(x[3:], value=2) + diff1 = np.ma.diff(a, append=a_app, axis=0) + + b = np.ma.masked_equal(x, value=2) + diff2 = np.ma.diff(b, axis=0) + + assert_(np.ma.allequal(diff1, diff2)) + + def test_diff_with_dim_0(self): + with pytest.raises( + ValueError, + match="diff requires input that is at least one dimensional" + ): + np.ma.diff(np.array(1)) + + def test_diff_with_n_0(self): + a = np.ma.masked_equal([1, 2, 2, 3, 4, 2, 1, 1], value=2) + diff = np.ma.diff(a, n=0, axis=0) + + assert_(np.ma.allequal(a, diff)) + + +class TestMaskedArrayMathMethodsComplex: + # Test class for miscellaneous MaskedArrays methods. + def setup_method(self): + # Base data definition. + x = np.array([8.375j, 7.545j, 8.828j, 8.5j, 1.757j, 5.928, + 8.43, 7.78, 9.865, 5.878, 8.979, 4.732, + 3.012, 6.022, 5.095, 3.116, 5.238, 3.957, + 6.04, 9.63, 7.712, 3.382, 4.489, 6.479j, + 7.189j, 9.645, 5.395, 4.961, 9.894, 2.893, + 7.357, 9.828, 6.272, 3.758, 6.693, 0.993j]) + X = x.reshape(6, 6) + XX = x.reshape(3, 2, 2, 3) + + m = np.array([0, 1, 0, 1, 0, 0, + 1, 0, 1, 1, 0, 1, + 0, 0, 0, 1, 0, 1, + 0, 0, 0, 1, 1, 1, + 1, 0, 0, 1, 0, 0, + 0, 0, 1, 0, 1, 0]) + mx = array(data=x, mask=m) + mX = array(data=X, mask=m.reshape(X.shape)) + mXX = array(data=XX, mask=m.reshape(XX.shape)) + + m2 = np.array([1, 1, 0, 1, 0, 0, + 1, 1, 1, 1, 0, 1, + 0, 0, 1, 1, 0, 1, + 0, 0, 0, 1, 1, 1, + 1, 0, 0, 1, 1, 0, + 0, 0, 1, 0, 1, 1]) + m2x = array(data=x, mask=m2) + m2X = array(data=X, mask=m2.reshape(X.shape)) + m2XX = array(data=XX, mask=m2.reshape(XX.shape)) + self.d = (x, X, XX, m, mx, mX, mXX, m2x, m2X, m2XX) + + def test_varstd(self): + # Tests var & std on MaskedArrays. + (x, X, XX, m, mx, mX, mXX, m2x, m2X, m2XX) = self.d + assert_almost_equal(mX.var(axis=None), mX.compressed().var()) + assert_almost_equal(mX.std(axis=None), mX.compressed().std()) + assert_equal(mXX.var(axis=3).shape, XX.var(axis=3).shape) + assert_equal(mX.var().shape, X.var().shape) + (mXvar0, mXvar1) = (mX.var(axis=0), mX.var(axis=1)) + assert_almost_equal(mX.var(axis=None, ddof=2), + mX.compressed().var(ddof=2)) + assert_almost_equal(mX.std(axis=None, ddof=2), + mX.compressed().std(ddof=2)) + for k in range(6): + assert_almost_equal(mXvar1[k], mX[k].compressed().var()) + assert_almost_equal(mXvar0[k], mX[:, k].compressed().var()) + assert_almost_equal(np.sqrt(mXvar0[k]), + mX[:, k].compressed().std()) + + +class TestMaskedArrayFunctions: + # Test class for miscellaneous functions. + + def setup_method(self): + x = np.array([1., 1., 1., -2., pi/2.0, 4., 5., -10., 10., 1., 2., 3.]) + y = np.array([5., 0., 3., 2., -1., -4., 0., -10., 10., 1., 0., 3.]) + m1 = [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0] + m2 = [0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1] + xm = masked_array(x, mask=m1) + ym = masked_array(y, mask=m2) + xm.set_fill_value(1e+20) + self.info = (xm, ym) + + def test_masked_where_bool(self): + x = [1, 2] + y = masked_where(False, x) + assert_equal(y, [1, 2]) + assert_equal(y[1], 2) + + def test_masked_equal_wlist(self): + x = [1, 2, 3] + mx = masked_equal(x, 3) + assert_equal(mx, x) + assert_equal(mx._mask, [0, 0, 1]) + mx = masked_not_equal(x, 3) + assert_equal(mx, x) + assert_equal(mx._mask, [1, 1, 0]) + + def test_masked_equal_fill_value(self): + x = [1, 2, 3] + mx = masked_equal(x, 3) + assert_equal(mx._mask, [0, 0, 1]) + assert_equal(mx.fill_value, 3) + + def test_masked_where_condition(self): + # Tests masking functions. + x = array([1., 2., 3., 4., 5.]) + x[2] = masked + assert_equal(masked_where(greater(x, 2), x), masked_greater(x, 2)) + assert_equal(masked_where(greater_equal(x, 2), x), + masked_greater_equal(x, 2)) + assert_equal(masked_where(less(x, 2), x), masked_less(x, 2)) + assert_equal(masked_where(less_equal(x, 2), x), + masked_less_equal(x, 2)) + assert_equal(masked_where(not_equal(x, 2), x), masked_not_equal(x, 2)) + assert_equal(masked_where(equal(x, 2), x), masked_equal(x, 2)) + assert_equal(masked_where(not_equal(x, 2), x), masked_not_equal(x, 2)) + assert_equal(masked_where([1, 1, 0, 0, 0], [1, 2, 3, 4, 5]), + [99, 99, 3, 4, 5]) + + def test_masked_where_oddities(self): + # Tests some generic features. + atest = ones((10, 10, 10), dtype=float) + btest = zeros(atest.shape, MaskType) + ctest = masked_where(btest, atest) + assert_equal(atest, ctest) + + def test_masked_where_shape_constraint(self): + a = arange(10) + with assert_raises(IndexError): + masked_equal(1, a) + test = masked_equal(a, 1) + assert_equal(test.mask, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0]) + + def test_masked_where_structured(self): + # test that masked_where on a structured array sets a structured + # mask (see issue #2972) + a = np.zeros(10, dtype=[("A", " 6, x) + + def test_masked_otherfunctions(self): + assert_equal(masked_inside(list(range(5)), 1, 3), + [0, 199, 199, 199, 4]) + assert_equal(masked_outside(list(range(5)), 1, 3), [199, 1, 2, 3, 199]) + assert_equal(masked_inside(array(list(range(5)), + mask=[1, 0, 0, 0, 0]), 1, 3).mask, + [1, 1, 1, 1, 0]) + assert_equal(masked_outside(array(list(range(5)), + mask=[0, 1, 0, 0, 0]), 1, 3).mask, + [1, 1, 0, 0, 1]) + assert_equal(masked_equal(array(list(range(5)), + mask=[1, 0, 0, 0, 0]), 2).mask, + [1, 0, 1, 0, 0]) + assert_equal(masked_not_equal(array([2, 2, 1, 2, 1], + mask=[1, 0, 0, 0, 0]), 2).mask, + [1, 0, 1, 0, 1]) + + def test_round(self): + a = array([1.23456, 2.34567, 3.45678, 4.56789, 5.67890], + mask=[0, 1, 0, 0, 0]) + assert_equal(a.round(), [1., 2., 3., 5., 6.]) + assert_equal(a.round(1), [1.2, 2.3, 3.5, 4.6, 5.7]) + assert_equal(a.round(3), [1.235, 2.346, 3.457, 4.568, 5.679]) + b = empty_like(a) + a.round(out=b) + assert_equal(b, [1., 2., 3., 5., 6.]) + + x = array([1., 2., 3., 4., 5.]) + c = array([1, 1, 1, 0, 0]) + x[2] = masked + z = where(c, x, -x) + assert_equal(z, [1., 2., 0., -4., -5]) + c[0] = masked + z = where(c, x, -x) + assert_equal(z, [1., 2., 0., -4., -5]) + assert_(z[0] is masked) + assert_(z[1] is not masked) + assert_(z[2] is masked) + + def test_round_with_output(self): + # Testing round with an explicit output + + xm = array(np.random.uniform(0, 10, 12)).reshape(3, 4) + xm[:, 0] = xm[0] = xm[-1, -1] = masked + + # A ndarray as explicit input + output = np.empty((3, 4), dtype=float) + output.fill(-9999) + result = np.round(xm, decimals=2, out=output) + # ... the result should be the given output + assert_(result is output) + assert_equal(result, xm.round(decimals=2, out=output)) + + output = empty((3, 4), dtype=float) + result = xm.round(decimals=2, out=output) + assert_(result is output) + + def test_round_with_scalar(self): + # Testing round with scalar/zero dimension input + # GH issue 2244 + a = array(1.1, mask=[False]) + assert_equal(a.round(), 1) + + a = array(1.1, mask=[True]) + assert_(a.round() is masked) + + a = array(1.1, mask=[False]) + output = np.empty(1, dtype=float) + output.fill(-9999) + a.round(out=output) + assert_equal(output, 1) + + a = array(1.1, mask=[False]) + output = array(-9999., mask=[True]) + a.round(out=output) + assert_equal(output[()], 1) + + a = array(1.1, mask=[True]) + output = array(-9999., mask=[False]) + a.round(out=output) + assert_(output[()] is masked) + + def test_identity(self): + a = identity(5) + assert_(isinstance(a, MaskedArray)) + assert_equal(a, np.identity(5)) + + def test_power(self): + x = -1.1 + assert_almost_equal(power(x, 2.), 1.21) + assert_(power(x, masked) is masked) + x = array([-1.1, -1.1, 1.1, 1.1, 0.]) + b = array([0.5, 2., 0.5, 2., -1.], mask=[0, 0, 0, 0, 1]) + y = power(x, b) + assert_almost_equal(y, [0, 1.21, 1.04880884817, 1.21, 0.]) + assert_equal(y._mask, [1, 0, 0, 0, 1]) + b.mask = nomask + y = power(x, b) + assert_equal(y._mask, [1, 0, 0, 0, 1]) + z = x ** b + assert_equal(z._mask, y._mask) + assert_almost_equal(z, y) + assert_almost_equal(z._data, y._data) + x **= b + assert_equal(x._mask, y._mask) + assert_almost_equal(x, y) + assert_almost_equal(x._data, y._data) + + def test_power_with_broadcasting(self): + # Test power w/ broadcasting + a2 = np.array([[1., 2., 3.], [4., 5., 6.]]) + a2m = array(a2, mask=[[1, 0, 0], [0, 0, 1]]) + b1 = np.array([2, 4, 3]) + b2 = np.array([b1, b1]) + b2m = array(b2, mask=[[0, 1, 0], [0, 1, 0]]) + + ctrl = array([[1 ** 2, 2 ** 4, 3 ** 3], [4 ** 2, 5 ** 4, 6 ** 3]], + mask=[[1, 1, 0], [0, 1, 1]]) + # No broadcasting, base & exp w/ mask + test = a2m ** b2m + assert_equal(test, ctrl) + assert_equal(test.mask, ctrl.mask) + # No broadcasting, base w/ mask, exp w/o mask + test = a2m ** b2 + assert_equal(test, ctrl) + assert_equal(test.mask, a2m.mask) + # No broadcasting, base w/o mask, exp w/ mask + test = a2 ** b2m + assert_equal(test, ctrl) + assert_equal(test.mask, b2m.mask) + + ctrl = array([[2 ** 2, 4 ** 4, 3 ** 3], [2 ** 2, 4 ** 4, 3 ** 3]], + mask=[[0, 1, 0], [0, 1, 0]]) + test = b1 ** b2m + assert_equal(test, ctrl) + assert_equal(test.mask, ctrl.mask) + test = b2m ** b1 + assert_equal(test, ctrl) + assert_equal(test.mask, ctrl.mask) + + @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") + def test_where(self): + # Test the where function + x = np.array([1., 1., 1., -2., pi/2.0, 4., 5., -10., 10., 1., 2., 3.]) + y = np.array([5., 0., 3., 2., -1., -4., 0., -10., 10., 1., 0., 3.]) + m1 = [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0] + m2 = [0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1] + xm = masked_array(x, mask=m1) + ym = masked_array(y, mask=m2) + xm.set_fill_value(1e+20) + + d = where(xm > 2, xm, -9) + assert_equal(d, [-9., -9., -9., -9., -9., 4., + -9., -9., 10., -9., -9., 3.]) + assert_equal(d._mask, xm._mask) + d = where(xm > 2, -9, ym) + assert_equal(d, [5., 0., 3., 2., -1., -9., + -9., -10., -9., 1., 0., -9.]) + assert_equal(d._mask, [1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0]) + d = where(xm > 2, xm, masked) + assert_equal(d, [-9., -9., -9., -9., -9., 4., + -9., -9., 10., -9., -9., 3.]) + tmp = xm._mask.copy() + tmp[(xm <= 2).filled(True)] = True + assert_equal(d._mask, tmp) + + with np.errstate(invalid="warn"): + # The fill value is 1e20, it cannot be converted to `int`: + with pytest.warns(RuntimeWarning, match="invalid value"): + ixm = xm.astype(int) + d = where(ixm > 2, ixm, masked) + assert_equal(d, [-9, -9, -9, -9, -9, 4, -9, -9, 10, -9, -9, 3]) + assert_equal(d.dtype, ixm.dtype) + + def test_where_object(self): + a = np.array(None) + b = masked_array(None) + r = b.copy() + assert_equal(np.ma.where(True, a, a), r) + assert_equal(np.ma.where(True, b, b), r) + + def test_where_with_masked_choice(self): + x = arange(10) + x[3] = masked + c = x >= 8 + # Set False to masked + z = where(c, x, masked) + assert_(z.dtype is x.dtype) + assert_(z[3] is masked) + assert_(z[4] is masked) + assert_(z[7] is masked) + assert_(z[8] is not masked) + assert_(z[9] is not masked) + assert_equal(x, z) + # Set True to masked + z = where(c, masked, x) + assert_(z.dtype is x.dtype) + assert_(z[3] is masked) + assert_(z[4] is not masked) + assert_(z[7] is not masked) + assert_(z[8] is masked) + assert_(z[9] is masked) + + def test_where_with_masked_condition(self): + x = array([1., 2., 3., 4., 5.]) + c = array([1, 1, 1, 0, 0]) + x[2] = masked + z = where(c, x, -x) + assert_equal(z, [1., 2., 0., -4., -5]) + c[0] = masked + z = where(c, x, -x) + assert_equal(z, [1., 2., 0., -4., -5]) + assert_(z[0] is masked) + assert_(z[1] is not masked) + assert_(z[2] is masked) + + x = arange(1, 6) + x[-1] = masked + y = arange(1, 6) * 10 + y[2] = masked + c = array([1, 1, 1, 0, 0], mask=[1, 0, 0, 0, 0]) + cm = c.filled(1) + z = where(c, x, y) + zm = where(cm, x, y) + assert_equal(z, zm) + assert_(getmask(zm) is nomask) + assert_equal(zm, [1, 2, 3, 40, 50]) + z = where(c, masked, 1) + assert_equal(z, [99, 99, 99, 1, 1]) + z = where(c, 1, masked) + assert_equal(z, [99, 1, 1, 99, 99]) + + def test_where_type(self): + # Test the type conservation with where + x = np.arange(4, dtype=np.int32) + y = np.arange(4, dtype=np.float32) * 2.2 + test = where(x > 1.5, y, x).dtype + control = np.result_type(np.int32, np.float32) + assert_equal(test, control) + + def test_where_broadcast(self): + # Issue 8599 + x = np.arange(9).reshape(3, 3) + y = np.zeros(3) + core = np.where([1, 0, 1], x, y) + ma = where([1, 0, 1], x, y) + + assert_equal(core, ma) + assert_equal(core.dtype, ma.dtype) + + def test_where_structured(self): + # Issue 8600 + dt = np.dtype([('a', int), ('b', int)]) + x = np.array([(1, 2), (3, 4), (5, 6)], dtype=dt) + y = np.array((10, 20), dtype=dt) + core = np.where([0, 1, 1], x, y) + ma = np.where([0, 1, 1], x, y) + + assert_equal(core, ma) + assert_equal(core.dtype, ma.dtype) + + def test_where_structured_masked(self): + dt = np.dtype([('a', int), ('b', int)]) + x = np.array([(1, 2), (3, 4), (5, 6)], dtype=dt) + + ma = where([0, 1, 1], x, masked) + expected = masked_where([1, 0, 0], x) + + assert_equal(ma.dtype, expected.dtype) + assert_equal(ma, expected) + assert_equal(ma.mask, expected.mask) + + def test_masked_invalid_error(self): + a = np.arange(5, dtype=object) + a[3] = np.PINF + a[2] = np.NaN + with pytest.raises(TypeError, + match="not supported for the input types"): + np.ma.masked_invalid(a) + + def test_masked_invalid_pandas(self): + # getdata() used to be bad for pandas series due to its _data + # attribute. This test is a regression test mainly and may be + # removed if getdata() is adjusted. + class Series(): + _data = "nonsense" + + def __array__(self): + return np.array([5, np.nan, np.inf]) + + arr = np.ma.masked_invalid(Series()) + assert_array_equal(arr._data, np.array(Series())) + assert_array_equal(arr._mask, [False, True, True]) + + @pytest.mark.parametrize("copy", [True, False]) + def test_masked_invalid_full_mask(self, copy): + # Matplotlib relied on masked_invalid always returning a full mask + # (Also astropy projects, but were ok with it gh-22720 and gh-22842) + a = np.ma.array([1, 2, 3, 4]) + assert a._mask is nomask + res = np.ma.masked_invalid(a, copy=copy) + assert res.mask is not nomask + # mask of a should not be mutated + assert a.mask is nomask + assert np.may_share_memory(a._data, res._data) != copy + + def test_choose(self): + # Test choose + choices = [[0, 1, 2, 3], [10, 11, 12, 13], + [20, 21, 22, 23], [30, 31, 32, 33]] + chosen = choose([2, 3, 1, 0], choices) + assert_equal(chosen, array([20, 31, 12, 3])) + chosen = choose([2, 4, 1, 0], choices, mode='clip') + assert_equal(chosen, array([20, 31, 12, 3])) + chosen = choose([2, 4, 1, 0], choices, mode='wrap') + assert_equal(chosen, array([20, 1, 12, 3])) + # Check with some masked indices + indices_ = array([2, 4, 1, 0], mask=[1, 0, 0, 1]) + chosen = choose(indices_, choices, mode='wrap') + assert_equal(chosen, array([99, 1, 12, 99])) + assert_equal(chosen.mask, [1, 0, 0, 1]) + # Check with some masked choices + choices = array(choices, mask=[[0, 0, 0, 1], [1, 1, 0, 1], + [1, 0, 0, 0], [0, 0, 0, 0]]) + indices_ = [2, 3, 1, 0] + chosen = choose(indices_, choices, mode='wrap') + assert_equal(chosen, array([20, 31, 12, 3])) + assert_equal(chosen.mask, [1, 0, 0, 1]) + + def test_choose_with_out(self): + # Test choose with an explicit out keyword + choices = [[0, 1, 2, 3], [10, 11, 12, 13], + [20, 21, 22, 23], [30, 31, 32, 33]] + store = empty(4, dtype=int) + chosen = choose([2, 3, 1, 0], choices, out=store) + assert_equal(store, array([20, 31, 12, 3])) + assert_(store is chosen) + # Check with some masked indices + out + store = empty(4, dtype=int) + indices_ = array([2, 3, 1, 0], mask=[1, 0, 0, 1]) + chosen = choose(indices_, choices, mode='wrap', out=store) + assert_equal(store, array([99, 31, 12, 99])) + assert_equal(store.mask, [1, 0, 0, 1]) + # Check with some masked choices + out ina ndarray ! + choices = array(choices, mask=[[0, 0, 0, 1], [1, 1, 0, 1], + [1, 0, 0, 0], [0, 0, 0, 0]]) + indices_ = [2, 3, 1, 0] + store = empty(4, dtype=int).view(ndarray) + chosen = choose(indices_, choices, mode='wrap', out=store) + assert_equal(store, array([999999, 31, 12, 999999])) + + def test_reshape(self): + a = arange(10) + a[0] = masked + # Try the default + b = a.reshape((5, 2)) + assert_equal(b.shape, (5, 2)) + assert_(b.flags['C']) + # Try w/ arguments as list instead of tuple + b = a.reshape(5, 2) + assert_equal(b.shape, (5, 2)) + assert_(b.flags['C']) + # Try w/ order + b = a.reshape((5, 2), order='F') + assert_equal(b.shape, (5, 2)) + assert_(b.flags['F']) + # Try w/ order + b = a.reshape(5, 2, order='F') + assert_equal(b.shape, (5, 2)) + assert_(b.flags['F']) + + c = np.reshape(a, (2, 5)) + assert_(isinstance(c, MaskedArray)) + assert_equal(c.shape, (2, 5)) + assert_(c[0, 0] is masked) + assert_(c.flags['C']) + + def test_make_mask_descr(self): + # Flexible + ntype = [('a', float), ('b', float)] + test = make_mask_descr(ntype) + assert_equal(test, [('a', bool), ('b', bool)]) + assert_(test is make_mask_descr(test)) + + # Standard w/ shape + ntype = (float, 2) + test = make_mask_descr(ntype) + assert_equal(test, (bool, 2)) + assert_(test is make_mask_descr(test)) + + # Standard standard + ntype = float + test = make_mask_descr(ntype) + assert_equal(test, np.dtype(bool)) + assert_(test is make_mask_descr(test)) + + # Nested + ntype = [('a', float), ('b', [('ba', float), ('bb', float)])] + test = make_mask_descr(ntype) + control = np.dtype([('a', 'b1'), ('b', [('ba', 'b1'), ('bb', 'b1')])]) + assert_equal(test, control) + assert_(test is make_mask_descr(test)) + + # Named+ shape + ntype = [('a', (float, 2))] + test = make_mask_descr(ntype) + assert_equal(test, np.dtype([('a', (bool, 2))])) + assert_(test is make_mask_descr(test)) + + # 2 names + ntype = [(('A', 'a'), float)] + test = make_mask_descr(ntype) + assert_equal(test, np.dtype([(('A', 'a'), bool)])) + assert_(test is make_mask_descr(test)) + + # nested boolean types should preserve identity + base_type = np.dtype([('a', int, 3)]) + base_mtype = make_mask_descr(base_type) + sub_type = np.dtype([('a', int), ('b', base_mtype)]) + test = make_mask_descr(sub_type) + assert_equal(test, np.dtype([('a', bool), ('b', [('a', bool, 3)])])) + assert_(test.fields['b'][0] is base_mtype) + + def test_make_mask(self): + # Test make_mask + # w/ a list as an input + mask = [0, 1] + test = make_mask(mask) + assert_equal(test.dtype, MaskType) + assert_equal(test, [0, 1]) + # w/ a ndarray as an input + mask = np.array([0, 1], dtype=bool) + test = make_mask(mask) + assert_equal(test.dtype, MaskType) + assert_equal(test, [0, 1]) + # w/ a flexible-type ndarray as an input - use default + mdtype = [('a', bool), ('b', bool)] + mask = np.array([(0, 0), (0, 1)], dtype=mdtype) + test = make_mask(mask) + assert_equal(test.dtype, MaskType) + assert_equal(test, [1, 1]) + # w/ a flexible-type ndarray as an input - use input dtype + mdtype = [('a', bool), ('b', bool)] + mask = np.array([(0, 0), (0, 1)], dtype=mdtype) + test = make_mask(mask, dtype=mask.dtype) + assert_equal(test.dtype, mdtype) + assert_equal(test, mask) + # w/ a flexible-type ndarray as an input - use input dtype + mdtype = [('a', float), ('b', float)] + bdtype = [('a', bool), ('b', bool)] + mask = np.array([(0, 0), (0, 1)], dtype=mdtype) + test = make_mask(mask, dtype=mask.dtype) + assert_equal(test.dtype, bdtype) + assert_equal(test, np.array([(0, 0), (0, 1)], dtype=bdtype)) + # Ensure this also works for void + mask = np.array((False, True), dtype='?,?')[()] + assert_(isinstance(mask, np.void)) + test = make_mask(mask, dtype=mask.dtype) + assert_equal(test, mask) + assert_(test is not mask) + mask = np.array((0, 1), dtype='i4,i4')[()] + test2 = make_mask(mask, dtype=mask.dtype) + assert_equal(test2, test) + # test that nomask is returned when m is nomask. + bools = [True, False] + dtypes = [MaskType, float] + msgformat = 'copy=%s, shrink=%s, dtype=%s' + for cpy, shr, dt in itertools.product(bools, bools, dtypes): + res = make_mask(nomask, copy=cpy, shrink=shr, dtype=dt) + assert_(res is nomask, msgformat % (cpy, shr, dt)) + + def test_mask_or(self): + # Initialize + mtype = [('a', bool), ('b', bool)] + mask = np.array([(0, 0), (0, 1), (1, 0), (0, 0)], dtype=mtype) + # Test using nomask as input + test = mask_or(mask, nomask) + assert_equal(test, mask) + test = mask_or(nomask, mask) + assert_equal(test, mask) + # Using False as input + test = mask_or(mask, False) + assert_equal(test, mask) + # Using another array w / the same dtype + other = np.array([(0, 1), (0, 1), (0, 1), (0, 1)], dtype=mtype) + test = mask_or(mask, other) + control = np.array([(0, 1), (0, 1), (1, 1), (0, 1)], dtype=mtype) + assert_equal(test, control) + # Using another array w / a different dtype + othertype = [('A', bool), ('B', bool)] + other = np.array([(0, 1), (0, 1), (0, 1), (0, 1)], dtype=othertype) + try: + test = mask_or(mask, other) + except ValueError: + pass + # Using nested arrays + dtype = [('a', bool), ('b', [('ba', bool), ('bb', bool)])] + amask = np.array([(0, (1, 0)), (0, (1, 0))], dtype=dtype) + bmask = np.array([(1, (0, 1)), (0, (0, 0))], dtype=dtype) + cntrl = np.array([(1, (1, 1)), (0, (1, 0))], dtype=dtype) + assert_equal(mask_or(amask, bmask), cntrl) + + def test_flatten_mask(self): + # Tests flatten mask + # Standard dtype + mask = np.array([0, 0, 1], dtype=bool) + assert_equal(flatten_mask(mask), mask) + # Flexible dtype + mask = np.array([(0, 0), (0, 1)], dtype=[('a', bool), ('b', bool)]) + test = flatten_mask(mask) + control = np.array([0, 0, 0, 1], dtype=bool) + assert_equal(test, control) + + mdtype = [('a', bool), ('b', [('ba', bool), ('bb', bool)])] + data = [(0, (0, 0)), (0, (0, 1))] + mask = np.array(data, dtype=mdtype) + test = flatten_mask(mask) + control = np.array([0, 0, 0, 0, 0, 1], dtype=bool) + assert_equal(test, control) + + def test_on_ndarray(self): + # Test functions on ndarrays + a = np.array([1, 2, 3, 4]) + m = array(a, mask=False) + test = anom(a) + assert_equal(test, m.anom()) + test = reshape(a, (2, 2)) + assert_equal(test, m.reshape(2, 2)) + + def test_compress(self): + # Test compress function on ndarray and masked array + # Address Github #2495. + arr = np.arange(8) + arr.shape = 4, 2 + cond = np.array([True, False, True, True]) + control = arr[[0, 2, 3]] + test = np.ma.compress(cond, arr, axis=0) + assert_equal(test, control) + marr = np.ma.array(arr) + test = np.ma.compress(cond, marr, axis=0) + assert_equal(test, control) + + def test_compressed(self): + # Test ma.compressed function. + # Address gh-4026 + a = np.ma.array([1, 2]) + test = np.ma.compressed(a) + assert_(type(test) is np.ndarray) + + # Test case when input data is ndarray subclass + class A(np.ndarray): + pass + + a = np.ma.array(A(shape=0)) + test = np.ma.compressed(a) + assert_(type(test) is A) + + # Test that compress flattens + test = np.ma.compressed([[1],[2]]) + assert_equal(test.ndim, 1) + test = np.ma.compressed([[[[[1]]]]]) + assert_equal(test.ndim, 1) + + # Test case when input is MaskedArray subclass + class M(MaskedArray): + pass + + test = np.ma.compressed(M([[[]], [[]]])) + assert_equal(test.ndim, 1) + + # with .compressed() overridden + class M(MaskedArray): + def compressed(self): + return 42 + + test = np.ma.compressed(M([[[]], [[]]])) + assert_equal(test, 42) + + def test_convolve(self): + a = masked_equal(np.arange(5), 2) + b = np.array([1, 1]) + test = np.ma.convolve(a, b) + assert_equal(test, masked_equal([0, 1, -1, -1, 7, 4], -1)) + + test = np.ma.convolve(a, b, propagate_mask=False) + assert_equal(test, masked_equal([0, 1, 1, 3, 7, 4], -1)) + + test = np.ma.convolve([1, 1], [1, 1, 1]) + assert_equal(test, masked_equal([1, 2, 2, 1], -1)) + + a = [1, 1] + b = masked_equal([1, -1, -1, 1], -1) + test = np.ma.convolve(a, b, propagate_mask=False) + assert_equal(test, masked_equal([1, 1, -1, 1, 1], -1)) + test = np.ma.convolve(a, b, propagate_mask=True) + assert_equal(test, masked_equal([-1, -1, -1, -1, -1], -1)) + + +class TestMaskedFields: + + def setup_method(self): + ilist = [1, 2, 3, 4, 5] + flist = [1.1, 2.2, 3.3, 4.4, 5.5] + slist = ['one', 'two', 'three', 'four', 'five'] + ddtype = [('a', int), ('b', float), ('c', '|S8')] + mdtype = [('a', bool), ('b', bool), ('c', bool)] + mask = [0, 1, 0, 0, 1] + base = array(list(zip(ilist, flist, slist)), mask=mask, dtype=ddtype) + self.data = dict(base=base, mask=mask, ddtype=ddtype, mdtype=mdtype) + + def test_set_records_masks(self): + base = self.data['base'] + mdtype = self.data['mdtype'] + # Set w/ nomask or masked + base.mask = nomask + assert_equal_records(base._mask, np.zeros(base.shape, dtype=mdtype)) + base.mask = masked + assert_equal_records(base._mask, np.ones(base.shape, dtype=mdtype)) + # Set w/ simple boolean + base.mask = False + assert_equal_records(base._mask, np.zeros(base.shape, dtype=mdtype)) + base.mask = True + assert_equal_records(base._mask, np.ones(base.shape, dtype=mdtype)) + # Set w/ list + base.mask = [0, 0, 0, 1, 1] + assert_equal_records(base._mask, + np.array([(x, x, x) for x in [0, 0, 0, 1, 1]], + dtype=mdtype)) + + def test_set_record_element(self): + # Check setting an element of a record) + base = self.data['base'] + (base_a, base_b, base_c) = (base['a'], base['b'], base['c']) + base[0] = (pi, pi, 'pi') + + assert_equal(base_a.dtype, int) + assert_equal(base_a._data, [3, 2, 3, 4, 5]) + + assert_equal(base_b.dtype, float) + assert_equal(base_b._data, [pi, 2.2, 3.3, 4.4, 5.5]) + + assert_equal(base_c.dtype, '|S8') + assert_equal(base_c._data, + [b'pi', b'two', b'three', b'four', b'five']) + + def test_set_record_slice(self): + base = self.data['base'] + (base_a, base_b, base_c) = (base['a'], base['b'], base['c']) + base[:3] = (pi, pi, 'pi') + + assert_equal(base_a.dtype, int) + assert_equal(base_a._data, [3, 3, 3, 4, 5]) + + assert_equal(base_b.dtype, float) + assert_equal(base_b._data, [pi, pi, pi, 4.4, 5.5]) + + assert_equal(base_c.dtype, '|S8') + assert_equal(base_c._data, + [b'pi', b'pi', b'pi', b'four', b'five']) + + def test_mask_element(self): + "Check record access" + base = self.data['base'] + base[0] = masked + + for n in ('a', 'b', 'c'): + assert_equal(base[n].mask, [1, 1, 0, 0, 1]) + assert_equal(base[n]._data, base._data[n]) + + def test_getmaskarray(self): + # Test getmaskarray on flexible dtype + ndtype = [('a', int), ('b', float)] + test = empty(3, dtype=ndtype) + assert_equal(getmaskarray(test), + np.array([(0, 0), (0, 0), (0, 0)], + dtype=[('a', '|b1'), ('b', '|b1')])) + test[:] = masked + assert_equal(getmaskarray(test), + np.array([(1, 1), (1, 1), (1, 1)], + dtype=[('a', '|b1'), ('b', '|b1')])) + + def test_view(self): + # Test view w/ flexible dtype + iterator = list(zip(np.arange(10), np.random.rand(10))) + data = np.array(iterator) + a = array(iterator, dtype=[('a', float), ('b', float)]) + a.mask[0] = (1, 0) + controlmask = np.array([1] + 19 * [0], dtype=bool) + # Transform globally to simple dtype + test = a.view(float) + assert_equal(test, data.ravel()) + assert_equal(test.mask, controlmask) + # Transform globally to dty + test = a.view((float, 2)) + assert_equal(test, data) + assert_equal(test.mask, controlmask.reshape(-1, 2)) + + def test_getitem(self): + ndtype = [('a', float), ('b', float)] + a = array(list(zip(np.random.rand(10), np.arange(10))), dtype=ndtype) + a.mask = np.array(list(zip([0, 0, 0, 0, 0, 0, 0, 0, 1, 1], + [1, 0, 0, 0, 0, 0, 0, 0, 1, 0])), + dtype=[('a', bool), ('b', bool)]) + + def _test_index(i): + assert_equal(type(a[i]), mvoid) + assert_equal_records(a[i]._data, a._data[i]) + assert_equal_records(a[i]._mask, a._mask[i]) + + assert_equal(type(a[i, ...]), MaskedArray) + assert_equal_records(a[i,...]._data, a._data[i,...]) + assert_equal_records(a[i,...]._mask, a._mask[i,...]) + + _test_index(1) # No mask + _test_index(0) # One element masked + _test_index(-2) # All element masked + + def test_setitem(self): + # Issue 4866: check that one can set individual items in [record][col] + # and [col][record] order + ndtype = np.dtype([('a', float), ('b', int)]) + ma = np.ma.MaskedArray([(1.0, 1), (2.0, 2)], dtype=ndtype) + ma['a'][1] = 3.0 + assert_equal(ma['a'], np.array([1.0, 3.0])) + ma[1]['a'] = 4.0 + assert_equal(ma['a'], np.array([1.0, 4.0])) + # Issue 2403 + mdtype = np.dtype([('a', bool), ('b', bool)]) + # soft mask + control = np.array([(False, True), (True, True)], dtype=mdtype) + a = np.ma.masked_all((2,), dtype=ndtype) + a['a'][0] = 2 + assert_equal(a.mask, control) + a = np.ma.masked_all((2,), dtype=ndtype) + a[0]['a'] = 2 + assert_equal(a.mask, control) + # hard mask + control = np.array([(True, True), (True, True)], dtype=mdtype) + a = np.ma.masked_all((2,), dtype=ndtype) + a.harden_mask() + a['a'][0] = 2 + assert_equal(a.mask, control) + a = np.ma.masked_all((2,), dtype=ndtype) + a.harden_mask() + a[0]['a'] = 2 + assert_equal(a.mask, control) + + def test_setitem_scalar(self): + # 8510 + mask_0d = np.ma.masked_array(1, mask=True) + arr = np.ma.arange(3) + arr[0] = mask_0d + assert_array_equal(arr.mask, [True, False, False]) + + def test_element_len(self): + # check that len() works for mvoid (Github issue #576) + for rec in self.data['base']: + assert_equal(len(rec), len(self.data['ddtype'])) + + +class TestMaskedObjectArray: + + def test_getitem(self): + arr = np.ma.array([None, None]) + for dt in [float, object]: + a0 = np.eye(2).astype(dt) + a1 = np.eye(3).astype(dt) + arr[0] = a0 + arr[1] = a1 + + assert_(arr[0] is a0) + assert_(arr[1] is a1) + assert_(isinstance(arr[0,...], MaskedArray)) + assert_(isinstance(arr[1,...], MaskedArray)) + assert_(arr[0,...][()] is a0) + assert_(arr[1,...][()] is a1) + + arr[0] = np.ma.masked + + assert_(arr[1] is a1) + assert_(isinstance(arr[0,...], MaskedArray)) + assert_(isinstance(arr[1,...], MaskedArray)) + assert_equal(arr[0,...].mask, True) + assert_(arr[1,...][()] is a1) + + # gh-5962 - object arrays of arrays do something special + assert_equal(arr[0].data, a0) + assert_equal(arr[0].mask, True) + assert_equal(arr[0,...][()].data, a0) + assert_equal(arr[0,...][()].mask, True) + + def test_nested_ma(self): + + arr = np.ma.array([None, None]) + # set the first object to be an unmasked masked constant. A little fiddly + arr[0,...] = np.array([np.ma.masked], object)[0,...] + + # check the above line did what we were aiming for + assert_(arr.data[0] is np.ma.masked) + + # test that getitem returned the value by identity + assert_(arr[0] is np.ma.masked) + + # now mask the masked value! + arr[0] = np.ma.masked + assert_(arr[0] is np.ma.masked) + + +class TestMaskedView: + + def setup_method(self): + iterator = list(zip(np.arange(10), np.random.rand(10))) + data = np.array(iterator) + a = array(iterator, dtype=[('a', float), ('b', float)]) + a.mask[0] = (1, 0) + controlmask = np.array([1] + 19 * [0], dtype=bool) + self.data = (data, a, controlmask) + + def test_view_to_nothing(self): + (data, a, controlmask) = self.data + test = a.view() + assert_(isinstance(test, MaskedArray)) + assert_equal(test._data, a._data) + assert_equal(test._mask, a._mask) + + def test_view_to_type(self): + (data, a, controlmask) = self.data + test = a.view(np.ndarray) + assert_(not isinstance(test, MaskedArray)) + assert_equal(test, a._data) + assert_equal_records(test, data.view(a.dtype).squeeze()) + + def test_view_to_simple_dtype(self): + (data, a, controlmask) = self.data + # View globally + test = a.view(float) + assert_(isinstance(test, MaskedArray)) + assert_equal(test, data.ravel()) + assert_equal(test.mask, controlmask) + + def test_view_to_flexible_dtype(self): + (data, a, controlmask) = self.data + + test = a.view([('A', float), ('B', float)]) + assert_equal(test.mask.dtype.names, ('A', 'B')) + assert_equal(test['A'], a['a']) + assert_equal(test['B'], a['b']) + + test = a[0].view([('A', float), ('B', float)]) + assert_(isinstance(test, MaskedArray)) + assert_equal(test.mask.dtype.names, ('A', 'B')) + assert_equal(test['A'], a['a'][0]) + assert_equal(test['B'], a['b'][0]) + + test = a[-1].view([('A', float), ('B', float)]) + assert_(isinstance(test, MaskedArray)) + assert_equal(test.dtype.names, ('A', 'B')) + assert_equal(test['A'], a['a'][-1]) + assert_equal(test['B'], a['b'][-1]) + + def test_view_to_subdtype(self): + (data, a, controlmask) = self.data + # View globally + test = a.view((float, 2)) + assert_(isinstance(test, MaskedArray)) + assert_equal(test, data) + assert_equal(test.mask, controlmask.reshape(-1, 2)) + # View on 1 masked element + test = a[0].view((float, 2)) + assert_(isinstance(test, MaskedArray)) + assert_equal(test, data[0]) + assert_equal(test.mask, (1, 0)) + # View on 1 unmasked element + test = a[-1].view((float, 2)) + assert_(isinstance(test, MaskedArray)) + assert_equal(test, data[-1]) + + def test_view_to_dtype_and_type(self): + (data, a, controlmask) = self.data + + test = a.view((float, 2), np.recarray) + assert_equal(test, data) + assert_(isinstance(test, np.recarray)) + assert_(not isinstance(test, MaskedArray)) + + +class TestOptionalArgs: + def test_ndarrayfuncs(self): + # test axis arg behaves the same as ndarray (including multiple axes) + + d = np.arange(24.0).reshape((2,3,4)) + m = np.zeros(24, dtype=bool).reshape((2,3,4)) + # mask out last element of last dimension + m[:,:,-1] = True + a = np.ma.array(d, mask=m) + + def testaxis(f, a, d): + numpy_f = numpy.__getattribute__(f) + ma_f = np.ma.__getattribute__(f) + + # test axis arg + assert_equal(ma_f(a, axis=1)[...,:-1], numpy_f(d[...,:-1], axis=1)) + assert_equal(ma_f(a, axis=(0,1))[...,:-1], + numpy_f(d[...,:-1], axis=(0,1))) + + def testkeepdims(f, a, d): + numpy_f = numpy.__getattribute__(f) + ma_f = np.ma.__getattribute__(f) + + # test keepdims arg + assert_equal(ma_f(a, keepdims=True).shape, + numpy_f(d, keepdims=True).shape) + assert_equal(ma_f(a, keepdims=False).shape, + numpy_f(d, keepdims=False).shape) + + # test both at once + assert_equal(ma_f(a, axis=1, keepdims=True)[...,:-1], + numpy_f(d[...,:-1], axis=1, keepdims=True)) + assert_equal(ma_f(a, axis=(0,1), keepdims=True)[...,:-1], + numpy_f(d[...,:-1], axis=(0,1), keepdims=True)) + + for f in ['sum', 'prod', 'mean', 'var', 'std']: + testaxis(f, a, d) + testkeepdims(f, a, d) + + for f in ['min', 'max']: + testaxis(f, a, d) + + d = (np.arange(24).reshape((2,3,4))%2 == 0) + a = np.ma.array(d, mask=m) + for f in ['all', 'any']: + testaxis(f, a, d) + testkeepdims(f, a, d) + + def test_count(self): + # test np.ma.count specially + + d = np.arange(24.0).reshape((2,3,4)) + m = np.zeros(24, dtype=bool).reshape((2,3,4)) + m[:,0,:] = True + a = np.ma.array(d, mask=m) + + assert_equal(count(a), 16) + assert_equal(count(a, axis=1), 2*ones((2,4))) + assert_equal(count(a, axis=(0,1)), 4*ones((4,))) + assert_equal(count(a, keepdims=True), 16*ones((1,1,1))) + assert_equal(count(a, axis=1, keepdims=True), 2*ones((2,1,4))) + assert_equal(count(a, axis=(0,1), keepdims=True), 4*ones((1,1,4))) + assert_equal(count(a, axis=-2), 2*ones((2,4))) + assert_raises(ValueError, count, a, axis=(1,1)) + assert_raises(np.AxisError, count, a, axis=3) + + # check the 'nomask' path + a = np.ma.array(d, mask=nomask) + + assert_equal(count(a), 24) + assert_equal(count(a, axis=1), 3*ones((2,4))) + assert_equal(count(a, axis=(0,1)), 6*ones((4,))) + assert_equal(count(a, keepdims=True), 24*ones((1,1,1))) + assert_equal(np.ndim(count(a, keepdims=True)), 3) + assert_equal(count(a, axis=1, keepdims=True), 3*ones((2,1,4))) + assert_equal(count(a, axis=(0,1), keepdims=True), 6*ones((1,1,4))) + assert_equal(count(a, axis=-2), 3*ones((2,4))) + assert_raises(ValueError, count, a, axis=(1,1)) + assert_raises(np.AxisError, count, a, axis=3) + + # check the 'masked' singleton + assert_equal(count(np.ma.masked), 0) + + # check 0-d arrays do not allow axis > 0 + assert_raises(np.AxisError, count, np.ma.array(1), axis=1) + + +class TestMaskedConstant: + def _do_add_test(self, add): + # sanity check + assert_(add(np.ma.masked, 1) is np.ma.masked) + + # now try with a vector + vector = np.array([1, 2, 3]) + result = add(np.ma.masked, vector) + + # lots of things could go wrong here + assert_(result is not np.ma.masked) + assert_(not isinstance(result, np.ma.core.MaskedConstant)) + assert_equal(result.shape, vector.shape) + assert_equal(np.ma.getmask(result), np.ones(vector.shape, dtype=bool)) + + def test_ufunc(self): + self._do_add_test(np.add) + + def test_operator(self): + self._do_add_test(lambda a, b: a + b) + + def test_ctor(self): + m = np.ma.array(np.ma.masked) + + # most importantly, we do not want to create a new MaskedConstant + # instance + assert_(not isinstance(m, np.ma.core.MaskedConstant)) + assert_(m is not np.ma.masked) + + def test_repr(self): + # copies should not exist, but if they do, it should be obvious that + # something is wrong + assert_equal(repr(np.ma.masked), 'masked') + + # create a new instance in a weird way + masked2 = np.ma.MaskedArray.__new__(np.ma.core.MaskedConstant) + assert_not_equal(repr(masked2), 'masked') + + def test_pickle(self): + from io import BytesIO + + for proto in range(2, pickle.HIGHEST_PROTOCOL + 1): + with BytesIO() as f: + pickle.dump(np.ma.masked, f, protocol=proto) + f.seek(0) + res = pickle.load(f) + assert_(res is np.ma.masked) + + def test_copy(self): + # gh-9328 + # copy is a no-op, like it is with np.True_ + assert_equal( + np.ma.masked.copy() is np.ma.masked, + np.True_.copy() is np.True_) + + def test__copy(self): + import copy + assert_( + copy.copy(np.ma.masked) is np.ma.masked) + + def test_deepcopy(self): + import copy + assert_( + copy.deepcopy(np.ma.masked) is np.ma.masked) + + def test_immutable(self): + orig = np.ma.masked + assert_raises(np.ma.core.MaskError, operator.setitem, orig, (), 1) + assert_raises(ValueError,operator.setitem, orig.data, (), 1) + assert_raises(ValueError, operator.setitem, orig.mask, (), False) + + view = np.ma.masked.view(np.ma.MaskedArray) + assert_raises(ValueError, operator.setitem, view, (), 1) + assert_raises(ValueError, operator.setitem, view.data, (), 1) + assert_raises(ValueError, operator.setitem, view.mask, (), False) + + def test_coercion_int(self): + a_i = np.zeros((), int) + assert_raises(MaskError, operator.setitem, a_i, (), np.ma.masked) + assert_raises(MaskError, int, np.ma.masked) + + def test_coercion_float(self): + a_f = np.zeros((), float) + assert_warns(UserWarning, operator.setitem, a_f, (), np.ma.masked) + assert_(np.isnan(a_f[()])) + + @pytest.mark.xfail(reason="See gh-9750") + def test_coercion_unicode(self): + a_u = np.zeros((), 'U10') + a_u[()] = np.ma.masked + assert_equal(a_u[()], '--') + + @pytest.mark.xfail(reason="See gh-9750") + def test_coercion_bytes(self): + a_b = np.zeros((), 'S10') + a_b[()] = np.ma.masked + assert_equal(a_b[()], b'--') + + def test_subclass(self): + # https://github.com/astropy/astropy/issues/6645 + class Sub(type(np.ma.masked)): pass + + a = Sub() + assert_(a is Sub()) + assert_(a is not np.ma.masked) + assert_not_equal(repr(a), 'masked') + + def test_attributes_readonly(self): + assert_raises(AttributeError, setattr, np.ma.masked, 'shape', (1,)) + assert_raises(AttributeError, setattr, np.ma.masked, 'dtype', np.int64) + + +class TestMaskedWhereAliases: + + # TODO: Test masked_object, masked_equal, ... + + def test_masked_values(self): + res = masked_values(np.array([-32768.0]), np.int16(-32768)) + assert_equal(res.mask, [True]) + + res = masked_values(np.inf, np.inf) + assert_equal(res.mask, True) + + res = np.ma.masked_values(np.inf, -np.inf) + assert_equal(res.mask, False) + + res = np.ma.masked_values([1, 2, 3, 4], 5, shrink=True) + assert_(res.mask is np.ma.nomask) + + res = np.ma.masked_values([1, 2, 3, 4], 5, shrink=False) + assert_equal(res.mask, [False] * 4) + + +def test_masked_array(): + a = np.ma.array([0, 1, 2, 3], mask=[0, 0, 1, 0]) + assert_equal(np.argwhere(a), [[1], [3]]) + +def test_masked_array_no_copy(): + # check nomask array is updated in place + a = np.ma.array([1, 2, 3, 4]) + _ = np.ma.masked_where(a == 3, a, copy=False) + assert_array_equal(a.mask, [False, False, True, False]) + # check masked array is updated in place + a = np.ma.array([1, 2, 3, 4], mask=[1, 0, 0, 0]) + _ = np.ma.masked_where(a == 3, a, copy=False) + assert_array_equal(a.mask, [True, False, True, False]) + # check masked array with masked_invalid is updated in place + a = np.ma.array([np.inf, 1, 2, 3, 4]) + _ = np.ma.masked_invalid(a, copy=False) + assert_array_equal(a.mask, [True, False, False, False, False]) + +def test_append_masked_array(): + a = np.ma.masked_equal([1,2,3], value=2) + b = np.ma.masked_equal([4,3,2], value=2) + + result = np.ma.append(a, b) + expected_data = [1, 2, 3, 4, 3, 2] + expected_mask = [False, True, False, False, False, True] + assert_array_equal(result.data, expected_data) + assert_array_equal(result.mask, expected_mask) + + a = np.ma.masked_all((2,2)) + b = np.ma.ones((3,1)) + + result = np.ma.append(a, b) + expected_data = [1] * 3 + expected_mask = [True] * 4 + [False] * 3 + assert_array_equal(result.data[-3], expected_data) + assert_array_equal(result.mask, expected_mask) + + result = np.ma.append(a, b, axis=None) + assert_array_equal(result.data[-3], expected_data) + assert_array_equal(result.mask, expected_mask) + + +def test_append_masked_array_along_axis(): + a = np.ma.masked_equal([1,2,3], value=2) + b = np.ma.masked_values([[4, 5, 6], [7, 8, 9]], 7) + + # When `axis` is specified, `values` must have the correct shape. + assert_raises(ValueError, np.ma.append, a, b, axis=0) + + result = np.ma.append(a[np.newaxis,:], b, axis=0) + expected = np.ma.arange(1, 10) + expected[[1, 6]] = np.ma.masked + expected = expected.reshape((3,3)) + assert_array_equal(result.data, expected.data) + assert_array_equal(result.mask, expected.mask) + +def test_default_fill_value_complex(): + # regression test for Python 3, where 'unicode' was not defined + assert_(default_fill_value(1 + 1j) == 1.e20 + 0.0j) + + +def test_ufunc_with_output(): + # check that giving an output argument always returns that output. + # Regression test for gh-8416. + x = array([1., 2., 3.], mask=[0, 0, 1]) + y = np.add(x, 1., out=x) + assert_(y is x) + + +def test_ufunc_with_out_varied(): + """ Test that masked arrays are immune to gh-10459 """ + # the mask of the output should not affect the result, however it is passed + a = array([ 1, 2, 3], mask=[1, 0, 0]) + b = array([10, 20, 30], mask=[1, 0, 0]) + out = array([ 0, 0, 0], mask=[0, 0, 1]) + expected = array([11, 22, 33], mask=[1, 0, 0]) + + out_pos = out.copy() + res_pos = np.add(a, b, out_pos) + + out_kw = out.copy() + res_kw = np.add(a, b, out=out_kw) + + out_tup = out.copy() + res_tup = np.add(a, b, out=(out_tup,)) + + assert_equal(res_kw.mask, expected.mask) + assert_equal(res_kw.data, expected.data) + assert_equal(res_tup.mask, expected.mask) + assert_equal(res_tup.data, expected.data) + assert_equal(res_pos.mask, expected.mask) + assert_equal(res_pos.data, expected.data) + + +def test_astype_mask_ordering(): + descr = np.dtype([('v', int, 3), ('x', [('y', float)])]) + x = array([ + [([1, 2, 3], (1.0,)), ([1, 2, 3], (2.0,))], + [([1, 2, 3], (3.0,)), ([1, 2, 3], (4.0,))]], dtype=descr) + x[0]['v'][0] = np.ma.masked + + x_a = x.astype(descr) + assert x_a.dtype.names == np.dtype(descr).names + assert x_a.mask.dtype.names == np.dtype(descr).names + assert_equal(x, x_a) + + assert_(x is x.astype(x.dtype, copy=False)) + assert_equal(type(x.astype(x.dtype, subok=False)), np.ndarray) + + x_f = x.astype(x.dtype, order='F') + assert_(x_f.flags.f_contiguous) + assert_(x_f.mask.flags.f_contiguous) + + # Also test the same indirectly, via np.array + x_a2 = np.array(x, dtype=descr, subok=True) + assert x_a2.dtype.names == np.dtype(descr).names + assert x_a2.mask.dtype.names == np.dtype(descr).names + assert_equal(x, x_a2) + + assert_(x is np.array(x, dtype=descr, copy=False, subok=True)) + + x_f2 = np.array(x, dtype=x.dtype, order='F', subok=True) + assert_(x_f2.flags.f_contiguous) + assert_(x_f2.mask.flags.f_contiguous) + + +@pytest.mark.parametrize('dt1', num_dts, ids=num_ids) +@pytest.mark.parametrize('dt2', num_dts, ids=num_ids) +@pytest.mark.filterwarnings('ignore::numpy.ComplexWarning') +def test_astype_basic(dt1, dt2): + # See gh-12070 + src = np.ma.array(ones(3, dt1), fill_value=1) + dst = src.astype(dt2) + + assert_(src.fill_value == 1) + assert_(src.dtype == dt1) + assert_(src.fill_value.dtype == dt1) + + assert_(dst.fill_value == 1) + assert_(dst.dtype == dt2) + assert_(dst.fill_value.dtype == dt2) + + assert_equal(src, dst) + + +def test_fieldless_void(): + dt = np.dtype([]) # a void dtype with no fields + x = np.empty(4, dt) + + # these arrays contain no values, so there's little to test - but this + # shouldn't crash + mx = np.ma.array(x) + assert_equal(mx.dtype, x.dtype) + assert_equal(mx.shape, x.shape) + + mx = np.ma.array(x, mask=x) + assert_equal(mx.dtype, x.dtype) + assert_equal(mx.shape, x.shape) + + +def test_mask_shape_assignment_does_not_break_masked(): + a = np.ma.masked + b = np.ma.array(1, mask=a.mask) + b.shape = (1,) + assert_equal(a.mask.shape, ()) + +@pytest.mark.skipif(sys.flags.optimize > 1, + reason="no docstrings present to inspect when PYTHONOPTIMIZE/Py_OptimizeFlag > 1") +def test_doc_note(): + def method(self): + """This docstring + + Has multiple lines + + And notes + + Notes + ----- + original note + """ + pass + + expected_doc = """This docstring + +Has multiple lines + +And notes + +Notes +----- +note + +original note""" + + assert_equal(np.ma.core.doc_note(method.__doc__, "note"), expected_doc) + + +def test_gh_22556(): + source = np.ma.array([0, [0, 1, 2]], dtype=object) + deepcopy = copy.deepcopy(source) + deepcopy[1].append('this should not appear in source') + assert len(source[1]) == 3 + + +def test_gh_21022(): + # testing for absence of reported error + source = np.ma.masked_array(data=[-1, -1], mask=True, dtype=np.float64) + axis = np.array(0) + result = np.prod(source, axis=axis, keepdims=False) + result = np.ma.masked_array(result, + mask=np.ones(result.shape, dtype=np.bool_)) + array = np.ma.masked_array(data=-1, mask=True, dtype=np.float64) + copy.deepcopy(array) + copy.deepcopy(result) + + +def test_deepcopy_2d_obj(): + source = np.ma.array([[0, "dog"], + [1, 1], + [[1, 2], "cat"]], + mask=[[0, 1], + [0, 0], + [0, 0]], + dtype=object) + deepcopy = copy.deepcopy(source) + deepcopy[2, 0].extend(['this should not appear in source', 3]) + assert len(source[2, 0]) == 2 + assert len(deepcopy[2, 0]) == 4 + assert_equal(deepcopy._mask, source._mask) + deepcopy._mask[0, 0] = 1 + assert source._mask[0, 0] == 0 + + +def test_deepcopy_0d_obj(): + source = np.ma.array(0, mask=[0], dtype=object) + deepcopy = copy.deepcopy(source) + deepcopy[...] = 17 + assert_equal(source, 0) + assert_equal(deepcopy, 17) diff --git a/lib/python3.12/site-packages/numpy/ma/tests/test_deprecations.py b/lib/python3.12/site-packages/numpy/ma/tests/test_deprecations.py new file mode 100644 index 0000000000000000000000000000000000000000..40c8418f5c1809130672dca46e8c43469692da09 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/ma/tests/test_deprecations.py @@ -0,0 +1,84 @@ +"""Test deprecation and future warnings. + +""" +import pytest +import numpy as np +from numpy.testing import assert_warns +from numpy.ma.testutils import assert_equal +from numpy.ma.core import MaskedArrayFutureWarning +import io +import textwrap + +class TestArgsort: + """ gh-8701 """ + def _test_base(self, argsort, cls): + arr_0d = np.array(1).view(cls) + argsort(arr_0d) + + arr_1d = np.array([1, 2, 3]).view(cls) + argsort(arr_1d) + + # argsort has a bad default for >1d arrays + arr_2d = np.array([[1, 2], [3, 4]]).view(cls) + result = assert_warns( + np.ma.core.MaskedArrayFutureWarning, argsort, arr_2d) + assert_equal(result, argsort(arr_2d, axis=None)) + + # should be no warnings for explicitly specifying it + argsort(arr_2d, axis=None) + argsort(arr_2d, axis=-1) + + def test_function_ndarray(self): + return self._test_base(np.ma.argsort, np.ndarray) + + def test_function_maskedarray(self): + return self._test_base(np.ma.argsort, np.ma.MaskedArray) + + def test_method(self): + return self._test_base(np.ma.MaskedArray.argsort, np.ma.MaskedArray) + + +class TestMinimumMaximum: + + def test_axis_default(self): + # NumPy 1.13, 2017-05-06 + + data1d = np.ma.arange(6) + data2d = data1d.reshape(2, 3) + + ma_min = np.ma.minimum.reduce + ma_max = np.ma.maximum.reduce + + # check that the default axis is still None, but warns on 2d arrays + result = assert_warns(MaskedArrayFutureWarning, ma_max, data2d) + assert_equal(result, ma_max(data2d, axis=None)) + + result = assert_warns(MaskedArrayFutureWarning, ma_min, data2d) + assert_equal(result, ma_min(data2d, axis=None)) + + # no warnings on 1d, as both new and old defaults are equivalent + result = ma_min(data1d) + assert_equal(result, ma_min(data1d, axis=None)) + assert_equal(result, ma_min(data1d, axis=0)) + + result = ma_max(data1d) + assert_equal(result, ma_max(data1d, axis=None)) + assert_equal(result, ma_max(data1d, axis=0)) + + +class TestFromtextfile: + def test_fromtextfile_delimitor(self): + # NumPy 1.22.0, 2021-09-23 + + textfile = io.StringIO(textwrap.dedent( + """ + A,B,C,D + 'string 1';1;1.0;'mixed column' + 'string 2';2;2.0; + 'string 3';3;3.0;123 + 'string 4';4;4.0;3.14 + """ + )) + + with pytest.warns(DeprecationWarning): + result = np.ma.mrecords.fromtextfile(textfile, delimitor=';') diff --git a/lib/python3.12/site-packages/numpy/ma/tests/test_extras.py b/lib/python3.12/site-packages/numpy/ma/tests/test_extras.py new file mode 100644 index 0000000000000000000000000000000000000000..d09a50fecd4a62e06e202a2c07443d9a58332e4a --- /dev/null +++ b/lib/python3.12/site-packages/numpy/ma/tests/test_extras.py @@ -0,0 +1,1870 @@ +# pylint: disable-msg=W0611, W0612, W0511 +"""Tests suite for MaskedArray. +Adapted from the original test_ma by Pierre Gerard-Marchant + +:author: Pierre Gerard-Marchant +:contact: pierregm_at_uga_dot_edu +:version: $Id: test_extras.py 3473 2007-10-29 15:18:13Z jarrod.millman $ + +""" +import warnings +import itertools +import pytest + +import numpy as np +from numpy.core.numeric import normalize_axis_tuple +from numpy.testing import ( + assert_warns, suppress_warnings + ) +from numpy.ma.testutils import ( + assert_, assert_array_equal, assert_equal, assert_almost_equal + ) +from numpy.ma.core import ( + array, arange, masked, MaskedArray, masked_array, getmaskarray, shape, + nomask, ones, zeros, count + ) +from numpy.ma.extras import ( + atleast_1d, atleast_2d, atleast_3d, mr_, dot, polyfit, cov, corrcoef, + median, average, unique, setxor1d, setdiff1d, union1d, intersect1d, in1d, + ediff1d, apply_over_axes, apply_along_axis, compress_nd, compress_rowcols, + mask_rowcols, clump_masked, clump_unmasked, flatnotmasked_contiguous, + notmasked_contiguous, notmasked_edges, masked_all, masked_all_like, isin, + diagflat, ndenumerate, stack, vstack + ) + + +class TestGeneric: + # + def test_masked_all(self): + # Tests masked_all + # Standard dtype + test = masked_all((2,), dtype=float) + control = array([1, 1], mask=[1, 1], dtype=float) + assert_equal(test, control) + # Flexible dtype + dt = np.dtype({'names': ['a', 'b'], 'formats': ['f', 'f']}) + test = masked_all((2,), dtype=dt) + control = array([(0, 0), (0, 0)], mask=[(1, 1), (1, 1)], dtype=dt) + assert_equal(test, control) + test = masked_all((2, 2), dtype=dt) + control = array([[(0, 0), (0, 0)], [(0, 0), (0, 0)]], + mask=[[(1, 1), (1, 1)], [(1, 1), (1, 1)]], + dtype=dt) + assert_equal(test, control) + # Nested dtype + dt = np.dtype([('a', 'f'), ('b', [('ba', 'f'), ('bb', 'f')])]) + test = masked_all((2,), dtype=dt) + control = array([(1, (1, 1)), (1, (1, 1))], + mask=[(1, (1, 1)), (1, (1, 1))], dtype=dt) + assert_equal(test, control) + test = masked_all((2,), dtype=dt) + control = array([(1, (1, 1)), (1, (1, 1))], + mask=[(1, (1, 1)), (1, (1, 1))], dtype=dt) + assert_equal(test, control) + test = masked_all((1, 1), dtype=dt) + control = array([[(1, (1, 1))]], mask=[[(1, (1, 1))]], dtype=dt) + assert_equal(test, control) + + def test_masked_all_with_object_nested(self): + # Test masked_all works with nested array with dtype of an 'object' + # refers to issue #15895 + my_dtype = np.dtype([('b', ([('c', object)], (1,)))]) + masked_arr = np.ma.masked_all((1,), my_dtype) + + assert_equal(type(masked_arr['b']), np.ma.core.MaskedArray) + assert_equal(type(masked_arr['b']['c']), np.ma.core.MaskedArray) + assert_equal(len(masked_arr['b']['c']), 1) + assert_equal(masked_arr['b']['c'].shape, (1, 1)) + assert_equal(masked_arr['b']['c']._fill_value.shape, ()) + + def test_masked_all_with_object(self): + # same as above except that the array is not nested + my_dtype = np.dtype([('b', (object, (1,)))]) + masked_arr = np.ma.masked_all((1,), my_dtype) + + assert_equal(type(masked_arr['b']), np.ma.core.MaskedArray) + assert_equal(len(masked_arr['b']), 1) + assert_equal(masked_arr['b'].shape, (1, 1)) + assert_equal(masked_arr['b']._fill_value.shape, ()) + + def test_masked_all_like(self): + # Tests masked_all + # Standard dtype + base = array([1, 2], dtype=float) + test = masked_all_like(base) + control = array([1, 1], mask=[1, 1], dtype=float) + assert_equal(test, control) + # Flexible dtype + dt = np.dtype({'names': ['a', 'b'], 'formats': ['f', 'f']}) + base = array([(0, 0), (0, 0)], mask=[(1, 1), (1, 1)], dtype=dt) + test = masked_all_like(base) + control = array([(10, 10), (10, 10)], mask=[(1, 1), (1, 1)], dtype=dt) + assert_equal(test, control) + # Nested dtype + dt = np.dtype([('a', 'f'), ('b', [('ba', 'f'), ('bb', 'f')])]) + control = array([(1, (1, 1)), (1, (1, 1))], + mask=[(1, (1, 1)), (1, (1, 1))], dtype=dt) + test = masked_all_like(control) + assert_equal(test, control) + + def check_clump(self, f): + for i in range(1, 7): + for j in range(2**i): + k = np.arange(i, dtype=int) + ja = np.full(i, j, dtype=int) + a = masked_array(2**k) + a.mask = (ja & (2**k)) != 0 + s = 0 + for sl in f(a): + s += a.data[sl].sum() + if f == clump_unmasked: + assert_equal(a.compressed().sum(), s) + else: + a.mask = ~a.mask + assert_equal(a.compressed().sum(), s) + + def test_clump_masked(self): + # Test clump_masked + a = masked_array(np.arange(10)) + a[[0, 1, 2, 6, 8, 9]] = masked + # + test = clump_masked(a) + control = [slice(0, 3), slice(6, 7), slice(8, 10)] + assert_equal(test, control) + + self.check_clump(clump_masked) + + def test_clump_unmasked(self): + # Test clump_unmasked + a = masked_array(np.arange(10)) + a[[0, 1, 2, 6, 8, 9]] = masked + test = clump_unmasked(a) + control = [slice(3, 6), slice(7, 8), ] + assert_equal(test, control) + + self.check_clump(clump_unmasked) + + def test_flatnotmasked_contiguous(self): + # Test flatnotmasked_contiguous + a = arange(10) + # No mask + test = flatnotmasked_contiguous(a) + assert_equal(test, [slice(0, a.size)]) + # mask of all false + a.mask = np.zeros(10, dtype=bool) + assert_equal(test, [slice(0, a.size)]) + # Some mask + a[(a < 3) | (a > 8) | (a == 5)] = masked + test = flatnotmasked_contiguous(a) + assert_equal(test, [slice(3, 5), slice(6, 9)]) + # + a[:] = masked + test = flatnotmasked_contiguous(a) + assert_equal(test, []) + + +class TestAverage: + # Several tests of average. Why so many ? Good point... + def test_testAverage1(self): + # Test of average. + ott = array([0., 1., 2., 3.], mask=[True, False, False, False]) + assert_equal(2.0, average(ott, axis=0)) + assert_equal(2.0, average(ott, weights=[1., 1., 2., 1.])) + result, wts = average(ott, weights=[1., 1., 2., 1.], returned=True) + assert_equal(2.0, result) + assert_(wts == 4.0) + ott[:] = masked + assert_equal(average(ott, axis=0).mask, [True]) + ott = array([0., 1., 2., 3.], mask=[True, False, False, False]) + ott = ott.reshape(2, 2) + ott[:, 1] = masked + assert_equal(average(ott, axis=0), [2.0, 0.0]) + assert_equal(average(ott, axis=1).mask[0], [True]) + assert_equal([2., 0.], average(ott, axis=0)) + result, wts = average(ott, axis=0, returned=True) + assert_equal(wts, [1., 0.]) + + def test_testAverage2(self): + # More tests of average. + w1 = [0, 1, 1, 1, 1, 0] + w2 = [[0, 1, 1, 1, 1, 0], [1, 0, 0, 0, 0, 1]] + x = arange(6, dtype=np.float_) + assert_equal(average(x, axis=0), 2.5) + assert_equal(average(x, axis=0, weights=w1), 2.5) + y = array([arange(6, dtype=np.float_), 2.0 * arange(6)]) + assert_equal(average(y, None), np.add.reduce(np.arange(6)) * 3. / 12.) + assert_equal(average(y, axis=0), np.arange(6) * 3. / 2.) + assert_equal(average(y, axis=1), + [average(x, axis=0), average(x, axis=0) * 2.0]) + assert_equal(average(y, None, weights=w2), 20. / 6.) + assert_equal(average(y, axis=0, weights=w2), + [0., 1., 2., 3., 4., 10.]) + assert_equal(average(y, axis=1), + [average(x, axis=0), average(x, axis=0) * 2.0]) + m1 = zeros(6) + m2 = [0, 0, 1, 1, 0, 0] + m3 = [[0, 0, 1, 1, 0, 0], [0, 1, 1, 1, 1, 0]] + m4 = ones(6) + m5 = [0, 1, 1, 1, 1, 1] + assert_equal(average(masked_array(x, m1), axis=0), 2.5) + assert_equal(average(masked_array(x, m2), axis=0), 2.5) + assert_equal(average(masked_array(x, m4), axis=0).mask, [True]) + assert_equal(average(masked_array(x, m5), axis=0), 0.0) + assert_equal(count(average(masked_array(x, m4), axis=0)), 0) + z = masked_array(y, m3) + assert_equal(average(z, None), 20. / 6.) + assert_equal(average(z, axis=0), [0., 1., 99., 99., 4.0, 7.5]) + assert_equal(average(z, axis=1), [2.5, 5.0]) + assert_equal(average(z, axis=0, weights=w2), + [0., 1., 99., 99., 4.0, 10.0]) + + def test_testAverage3(self): + # Yet more tests of average! + a = arange(6) + b = arange(6) * 3 + r1, w1 = average([[a, b], [b, a]], axis=1, returned=True) + assert_equal(shape(r1), shape(w1)) + assert_equal(r1.shape, w1.shape) + r2, w2 = average(ones((2, 2, 3)), axis=0, weights=[3, 1], returned=True) + assert_equal(shape(w2), shape(r2)) + r2, w2 = average(ones((2, 2, 3)), returned=True) + assert_equal(shape(w2), shape(r2)) + r2, w2 = average(ones((2, 2, 3)), weights=ones((2, 2, 3)), returned=True) + assert_equal(shape(w2), shape(r2)) + a2d = array([[1, 2], [0, 4]], float) + a2dm = masked_array(a2d, [[False, False], [True, False]]) + a2da = average(a2d, axis=0) + assert_equal(a2da, [0.5, 3.0]) + a2dma = average(a2dm, axis=0) + assert_equal(a2dma, [1.0, 3.0]) + a2dma = average(a2dm, axis=None) + assert_equal(a2dma, 7. / 3.) + a2dma = average(a2dm, axis=1) + assert_equal(a2dma, [1.5, 4.0]) + + def test_testAverage4(self): + # Test that `keepdims` works with average + x = np.array([2, 3, 4]).reshape(3, 1) + b = np.ma.array(x, mask=[[False], [False], [True]]) + w = np.array([4, 5, 6]).reshape(3, 1) + actual = average(b, weights=w, axis=1, keepdims=True) + desired = masked_array([[2.], [3.], [4.]], [[False], [False], [True]]) + assert_equal(actual, desired) + + def test_onintegers_with_mask(self): + # Test average on integers with mask + a = average(array([1, 2])) + assert_equal(a, 1.5) + a = average(array([1, 2, 3, 4], mask=[False, False, True, True])) + assert_equal(a, 1.5) + + def test_complex(self): + # Test with complex data. + # (Regression test for https://github.com/numpy/numpy/issues/2684) + mask = np.array([[0, 0, 0, 1, 0], + [0, 1, 0, 0, 0]], dtype=bool) + a = masked_array([[0, 1+2j, 3+4j, 5+6j, 7+8j], + [9j, 0+1j, 2+3j, 4+5j, 7+7j]], + mask=mask) + + av = average(a) + expected = np.average(a.compressed()) + assert_almost_equal(av.real, expected.real) + assert_almost_equal(av.imag, expected.imag) + + av0 = average(a, axis=0) + expected0 = average(a.real, axis=0) + average(a.imag, axis=0)*1j + assert_almost_equal(av0.real, expected0.real) + assert_almost_equal(av0.imag, expected0.imag) + + av1 = average(a, axis=1) + expected1 = average(a.real, axis=1) + average(a.imag, axis=1)*1j + assert_almost_equal(av1.real, expected1.real) + assert_almost_equal(av1.imag, expected1.imag) + + # Test with the 'weights' argument. + wts = np.array([[0.5, 1.0, 2.0, 1.0, 0.5], + [1.0, 1.0, 1.0, 1.0, 1.0]]) + wav = average(a, weights=wts) + expected = np.average(a.compressed(), weights=wts[~mask]) + assert_almost_equal(wav.real, expected.real) + assert_almost_equal(wav.imag, expected.imag) + + wav0 = average(a, weights=wts, axis=0) + expected0 = (average(a.real, weights=wts, axis=0) + + average(a.imag, weights=wts, axis=0)*1j) + assert_almost_equal(wav0.real, expected0.real) + assert_almost_equal(wav0.imag, expected0.imag) + + wav1 = average(a, weights=wts, axis=1) + expected1 = (average(a.real, weights=wts, axis=1) + + average(a.imag, weights=wts, axis=1)*1j) + assert_almost_equal(wav1.real, expected1.real) + assert_almost_equal(wav1.imag, expected1.imag) + + @pytest.mark.parametrize( + 'x, axis, expected_avg, weights, expected_wavg, expected_wsum', + [([1, 2, 3], None, [2.0], [3, 4, 1], [1.75], [8.0]), + ([[1, 2, 5], [1, 6, 11]], 0, [[1.0, 4.0, 8.0]], + [1, 3], [[1.0, 5.0, 9.5]], [[4, 4, 4]])], + ) + def test_basic_keepdims(self, x, axis, expected_avg, + weights, expected_wavg, expected_wsum): + avg = np.ma.average(x, axis=axis, keepdims=True) + assert avg.shape == np.shape(expected_avg) + assert_array_equal(avg, expected_avg) + + wavg = np.ma.average(x, axis=axis, weights=weights, keepdims=True) + assert wavg.shape == np.shape(expected_wavg) + assert_array_equal(wavg, expected_wavg) + + wavg, wsum = np.ma.average(x, axis=axis, weights=weights, + returned=True, keepdims=True) + assert wavg.shape == np.shape(expected_wavg) + assert_array_equal(wavg, expected_wavg) + assert wsum.shape == np.shape(expected_wsum) + assert_array_equal(wsum, expected_wsum) + + def test_masked_weights(self): + # Test with masked weights. + # (Regression test for https://github.com/numpy/numpy/issues/10438) + a = np.ma.array(np.arange(9).reshape(3, 3), + mask=[[1, 0, 0], [1, 0, 0], [0, 0, 0]]) + weights_unmasked = masked_array([5, 28, 31], mask=False) + weights_masked = masked_array([5, 28, 31], mask=[1, 0, 0]) + + avg_unmasked = average(a, axis=0, + weights=weights_unmasked, returned=False) + expected_unmasked = np.array([6.0, 5.21875, 6.21875]) + assert_almost_equal(avg_unmasked, expected_unmasked) + + avg_masked = average(a, axis=0, weights=weights_masked, returned=False) + expected_masked = np.array([6.0, 5.576271186440678, 6.576271186440678]) + assert_almost_equal(avg_masked, expected_masked) + + # weights should be masked if needed + # depending on the array mask. This is to avoid summing + # masked nan or other values that are not cancelled by a zero + a = np.ma.array([1.0, 2.0, 3.0, 4.0], + mask=[False, False, True, True]) + avg_unmasked = average(a, weights=[1, 1, 1, np.nan]) + + assert_almost_equal(avg_unmasked, 1.5) + + a = np.ma.array([ + [1.0, 2.0, 3.0, 4.0], + [5.0, 6.0, 7.0, 8.0], + [9.0, 1.0, 2.0, 3.0], + ], mask=[ + [False, True, True, False], + [True, False, True, True], + [True, False, True, False], + ]) + + avg_masked = np.ma.average(a, weights=[1, np.nan, 1], axis=0) + avg_expected = np.ma.array([1.0, np.nan, np.nan, 3.5], + mask=[False, True, True, False]) + + assert_almost_equal(avg_masked, avg_expected) + assert_equal(avg_masked.mask, avg_expected.mask) + + +class TestConcatenator: + # Tests for mr_, the equivalent of r_ for masked arrays. + + def test_1d(self): + # Tests mr_ on 1D arrays. + assert_array_equal(mr_[1, 2, 3, 4, 5, 6], array([1, 2, 3, 4, 5, 6])) + b = ones(5) + m = [1, 0, 0, 0, 0] + d = masked_array(b, mask=m) + c = mr_[d, 0, 0, d] + assert_(isinstance(c, MaskedArray)) + assert_array_equal(c, [1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]) + assert_array_equal(c.mask, mr_[m, 0, 0, m]) + + def test_2d(self): + # Tests mr_ on 2D arrays. + a_1 = np.random.rand(5, 5) + a_2 = np.random.rand(5, 5) + m_1 = np.round(np.random.rand(5, 5), 0) + m_2 = np.round(np.random.rand(5, 5), 0) + b_1 = masked_array(a_1, mask=m_1) + b_2 = masked_array(a_2, mask=m_2) + # append columns + d = mr_['1', b_1, b_2] + assert_(d.shape == (5, 10)) + assert_array_equal(d[:, :5], b_1) + assert_array_equal(d[:, 5:], b_2) + assert_array_equal(d.mask, np.r_['1', m_1, m_2]) + d = mr_[b_1, b_2] + assert_(d.shape == (10, 5)) + assert_array_equal(d[:5,:], b_1) + assert_array_equal(d[5:,:], b_2) + assert_array_equal(d.mask, np.r_[m_1, m_2]) + + def test_masked_constant(self): + actual = mr_[np.ma.masked, 1] + assert_equal(actual.mask, [True, False]) + assert_equal(actual.data[1], 1) + + actual = mr_[[1, 2], np.ma.masked] + assert_equal(actual.mask, [False, False, True]) + assert_equal(actual.data[:2], [1, 2]) + + +class TestNotMasked: + # Tests notmasked_edges and notmasked_contiguous. + + def test_edges(self): + # Tests unmasked_edges + data = masked_array(np.arange(25).reshape(5, 5), + mask=[[0, 0, 1, 0, 0], + [0, 0, 0, 1, 1], + [1, 1, 0, 0, 0], + [0, 0, 0, 0, 0], + [1, 1, 1, 0, 0]],) + test = notmasked_edges(data, None) + assert_equal(test, [0, 24]) + test = notmasked_edges(data, 0) + assert_equal(test[0], [(0, 0, 1, 0, 0), (0, 1, 2, 3, 4)]) + assert_equal(test[1], [(3, 3, 3, 4, 4), (0, 1, 2, 3, 4)]) + test = notmasked_edges(data, 1) + assert_equal(test[0], [(0, 1, 2, 3, 4), (0, 0, 2, 0, 3)]) + assert_equal(test[1], [(0, 1, 2, 3, 4), (4, 2, 4, 4, 4)]) + # + test = notmasked_edges(data.data, None) + assert_equal(test, [0, 24]) + test = notmasked_edges(data.data, 0) + assert_equal(test[0], [(0, 0, 0, 0, 0), (0, 1, 2, 3, 4)]) + assert_equal(test[1], [(4, 4, 4, 4, 4), (0, 1, 2, 3, 4)]) + test = notmasked_edges(data.data, -1) + assert_equal(test[0], [(0, 1, 2, 3, 4), (0, 0, 0, 0, 0)]) + assert_equal(test[1], [(0, 1, 2, 3, 4), (4, 4, 4, 4, 4)]) + # + data[-2] = masked + test = notmasked_edges(data, 0) + assert_equal(test[0], [(0, 0, 1, 0, 0), (0, 1, 2, 3, 4)]) + assert_equal(test[1], [(1, 1, 2, 4, 4), (0, 1, 2, 3, 4)]) + test = notmasked_edges(data, -1) + assert_equal(test[0], [(0, 1, 2, 4), (0, 0, 2, 3)]) + assert_equal(test[1], [(0, 1, 2, 4), (4, 2, 4, 4)]) + + def test_contiguous(self): + # Tests notmasked_contiguous + a = masked_array(np.arange(24).reshape(3, 8), + mask=[[0, 0, 0, 0, 1, 1, 1, 1], + [1, 1, 1, 1, 1, 1, 1, 1], + [0, 0, 0, 0, 0, 0, 1, 0]]) + tmp = notmasked_contiguous(a, None) + assert_equal(tmp, [ + slice(0, 4, None), + slice(16, 22, None), + slice(23, 24, None) + ]) + + tmp = notmasked_contiguous(a, 0) + assert_equal(tmp, [ + [slice(0, 1, None), slice(2, 3, None)], + [slice(0, 1, None), slice(2, 3, None)], + [slice(0, 1, None), slice(2, 3, None)], + [slice(0, 1, None), slice(2, 3, None)], + [slice(2, 3, None)], + [slice(2, 3, None)], + [], + [slice(2, 3, None)] + ]) + # + tmp = notmasked_contiguous(a, 1) + assert_equal(tmp, [ + [slice(0, 4, None)], + [], + [slice(0, 6, None), slice(7, 8, None)] + ]) + + +class TestCompressFunctions: + + def test_compress_nd(self): + # Tests compress_nd + x = np.array(list(range(3*4*5))).reshape(3, 4, 5) + m = np.zeros((3,4,5)).astype(bool) + m[1,1,1] = True + x = array(x, mask=m) + + # axis=None + a = compress_nd(x) + assert_equal(a, [[[ 0, 2, 3, 4], + [10, 12, 13, 14], + [15, 17, 18, 19]], + [[40, 42, 43, 44], + [50, 52, 53, 54], + [55, 57, 58, 59]]]) + + # axis=0 + a = compress_nd(x, 0) + assert_equal(a, [[[ 0, 1, 2, 3, 4], + [ 5, 6, 7, 8, 9], + [10, 11, 12, 13, 14], + [15, 16, 17, 18, 19]], + [[40, 41, 42, 43, 44], + [45, 46, 47, 48, 49], + [50, 51, 52, 53, 54], + [55, 56, 57, 58, 59]]]) + + # axis=1 + a = compress_nd(x, 1) + assert_equal(a, [[[ 0, 1, 2, 3, 4], + [10, 11, 12, 13, 14], + [15, 16, 17, 18, 19]], + [[20, 21, 22, 23, 24], + [30, 31, 32, 33, 34], + [35, 36, 37, 38, 39]], + [[40, 41, 42, 43, 44], + [50, 51, 52, 53, 54], + [55, 56, 57, 58, 59]]]) + + a2 = compress_nd(x, (1,)) + a3 = compress_nd(x, -2) + a4 = compress_nd(x, (-2,)) + assert_equal(a, a2) + assert_equal(a, a3) + assert_equal(a, a4) + + # axis=2 + a = compress_nd(x, 2) + assert_equal(a, [[[ 0, 2, 3, 4], + [ 5, 7, 8, 9], + [10, 12, 13, 14], + [15, 17, 18, 19]], + [[20, 22, 23, 24], + [25, 27, 28, 29], + [30, 32, 33, 34], + [35, 37, 38, 39]], + [[40, 42, 43, 44], + [45, 47, 48, 49], + [50, 52, 53, 54], + [55, 57, 58, 59]]]) + + a2 = compress_nd(x, (2,)) + a3 = compress_nd(x, -1) + a4 = compress_nd(x, (-1,)) + assert_equal(a, a2) + assert_equal(a, a3) + assert_equal(a, a4) + + # axis=(0, 1) + a = compress_nd(x, (0, 1)) + assert_equal(a, [[[ 0, 1, 2, 3, 4], + [10, 11, 12, 13, 14], + [15, 16, 17, 18, 19]], + [[40, 41, 42, 43, 44], + [50, 51, 52, 53, 54], + [55, 56, 57, 58, 59]]]) + a2 = compress_nd(x, (0, -2)) + assert_equal(a, a2) + + # axis=(1, 2) + a = compress_nd(x, (1, 2)) + assert_equal(a, [[[ 0, 2, 3, 4], + [10, 12, 13, 14], + [15, 17, 18, 19]], + [[20, 22, 23, 24], + [30, 32, 33, 34], + [35, 37, 38, 39]], + [[40, 42, 43, 44], + [50, 52, 53, 54], + [55, 57, 58, 59]]]) + + a2 = compress_nd(x, (-2, 2)) + a3 = compress_nd(x, (1, -1)) + a4 = compress_nd(x, (-2, -1)) + assert_equal(a, a2) + assert_equal(a, a3) + assert_equal(a, a4) + + # axis=(0, 2) + a = compress_nd(x, (0, 2)) + assert_equal(a, [[[ 0, 2, 3, 4], + [ 5, 7, 8, 9], + [10, 12, 13, 14], + [15, 17, 18, 19]], + [[40, 42, 43, 44], + [45, 47, 48, 49], + [50, 52, 53, 54], + [55, 57, 58, 59]]]) + + a2 = compress_nd(x, (0, -1)) + assert_equal(a, a2) + + def test_compress_rowcols(self): + # Tests compress_rowcols + x = array(np.arange(9).reshape(3, 3), + mask=[[1, 0, 0], [0, 0, 0], [0, 0, 0]]) + assert_equal(compress_rowcols(x), [[4, 5], [7, 8]]) + assert_equal(compress_rowcols(x, 0), [[3, 4, 5], [6, 7, 8]]) + assert_equal(compress_rowcols(x, 1), [[1, 2], [4, 5], [7, 8]]) + x = array(x._data, mask=[[0, 0, 0], [0, 1, 0], [0, 0, 0]]) + assert_equal(compress_rowcols(x), [[0, 2], [6, 8]]) + assert_equal(compress_rowcols(x, 0), [[0, 1, 2], [6, 7, 8]]) + assert_equal(compress_rowcols(x, 1), [[0, 2], [3, 5], [6, 8]]) + x = array(x._data, mask=[[1, 0, 0], [0, 1, 0], [0, 0, 0]]) + assert_equal(compress_rowcols(x), [[8]]) + assert_equal(compress_rowcols(x, 0), [[6, 7, 8]]) + assert_equal(compress_rowcols(x, 1,), [[2], [5], [8]]) + x = array(x._data, mask=[[1, 0, 0], [0, 1, 0], [0, 0, 1]]) + assert_equal(compress_rowcols(x).size, 0) + assert_equal(compress_rowcols(x, 0).size, 0) + assert_equal(compress_rowcols(x, 1).size, 0) + + def test_mask_rowcols(self): + # Tests mask_rowcols. + x = array(np.arange(9).reshape(3, 3), + mask=[[1, 0, 0], [0, 0, 0], [0, 0, 0]]) + assert_equal(mask_rowcols(x).mask, + [[1, 1, 1], [1, 0, 0], [1, 0, 0]]) + assert_equal(mask_rowcols(x, 0).mask, + [[1, 1, 1], [0, 0, 0], [0, 0, 0]]) + assert_equal(mask_rowcols(x, 1).mask, + [[1, 0, 0], [1, 0, 0], [1, 0, 0]]) + x = array(x._data, mask=[[0, 0, 0], [0, 1, 0], [0, 0, 0]]) + assert_equal(mask_rowcols(x).mask, + [[0, 1, 0], [1, 1, 1], [0, 1, 0]]) + assert_equal(mask_rowcols(x, 0).mask, + [[0, 0, 0], [1, 1, 1], [0, 0, 0]]) + assert_equal(mask_rowcols(x, 1).mask, + [[0, 1, 0], [0, 1, 0], [0, 1, 0]]) + x = array(x._data, mask=[[1, 0, 0], [0, 1, 0], [0, 0, 0]]) + assert_equal(mask_rowcols(x).mask, + [[1, 1, 1], [1, 1, 1], [1, 1, 0]]) + assert_equal(mask_rowcols(x, 0).mask, + [[1, 1, 1], [1, 1, 1], [0, 0, 0]]) + assert_equal(mask_rowcols(x, 1,).mask, + [[1, 1, 0], [1, 1, 0], [1, 1, 0]]) + x = array(x._data, mask=[[1, 0, 0], [0, 1, 0], [0, 0, 1]]) + assert_(mask_rowcols(x).all() is masked) + assert_(mask_rowcols(x, 0).all() is masked) + assert_(mask_rowcols(x, 1).all() is masked) + assert_(mask_rowcols(x).mask.all()) + assert_(mask_rowcols(x, 0).mask.all()) + assert_(mask_rowcols(x, 1).mask.all()) + + @pytest.mark.parametrize("axis", [None, 0, 1]) + @pytest.mark.parametrize(["func", "rowcols_axis"], + [(np.ma.mask_rows, 0), (np.ma.mask_cols, 1)]) + def test_mask_row_cols_axis_deprecation(self, axis, func, rowcols_axis): + # Test deprecation of the axis argument to `mask_rows` and `mask_cols` + x = array(np.arange(9).reshape(3, 3), + mask=[[1, 0, 0], [0, 0, 0], [0, 0, 0]]) + + with assert_warns(DeprecationWarning): + res = func(x, axis=axis) + assert_equal(res, mask_rowcols(x, rowcols_axis)) + + def test_dot(self): + # Tests dot product + n = np.arange(1, 7) + # + m = [1, 0, 0, 0, 0, 0] + a = masked_array(n, mask=m).reshape(2, 3) + b = masked_array(n, mask=m).reshape(3, 2) + c = dot(a, b, strict=True) + assert_equal(c.mask, [[1, 1], [1, 0]]) + c = dot(b, a, strict=True) + assert_equal(c.mask, [[1, 1, 1], [1, 0, 0], [1, 0, 0]]) + c = dot(a, b, strict=False) + assert_equal(c, np.dot(a.filled(0), b.filled(0))) + c = dot(b, a, strict=False) + assert_equal(c, np.dot(b.filled(0), a.filled(0))) + # + m = [0, 0, 0, 0, 0, 1] + a = masked_array(n, mask=m).reshape(2, 3) + b = masked_array(n, mask=m).reshape(3, 2) + c = dot(a, b, strict=True) + assert_equal(c.mask, [[0, 1], [1, 1]]) + c = dot(b, a, strict=True) + assert_equal(c.mask, [[0, 0, 1], [0, 0, 1], [1, 1, 1]]) + c = dot(a, b, strict=False) + assert_equal(c, np.dot(a.filled(0), b.filled(0))) + assert_equal(c, dot(a, b)) + c = dot(b, a, strict=False) + assert_equal(c, np.dot(b.filled(0), a.filled(0))) + # + m = [0, 0, 0, 0, 0, 0] + a = masked_array(n, mask=m).reshape(2, 3) + b = masked_array(n, mask=m).reshape(3, 2) + c = dot(a, b) + assert_equal(c.mask, nomask) + c = dot(b, a) + assert_equal(c.mask, nomask) + # + a = masked_array(n, mask=[1, 0, 0, 0, 0, 0]).reshape(2, 3) + b = masked_array(n, mask=[0, 0, 0, 0, 0, 0]).reshape(3, 2) + c = dot(a, b, strict=True) + assert_equal(c.mask, [[1, 1], [0, 0]]) + c = dot(a, b, strict=False) + assert_equal(c, np.dot(a.filled(0), b.filled(0))) + c = dot(b, a, strict=True) + assert_equal(c.mask, [[1, 0, 0], [1, 0, 0], [1, 0, 0]]) + c = dot(b, a, strict=False) + assert_equal(c, np.dot(b.filled(0), a.filled(0))) + # + a = masked_array(n, mask=[0, 0, 0, 0, 0, 1]).reshape(2, 3) + b = masked_array(n, mask=[0, 0, 0, 0, 0, 0]).reshape(3, 2) + c = dot(a, b, strict=True) + assert_equal(c.mask, [[0, 0], [1, 1]]) + c = dot(a, b) + assert_equal(c, np.dot(a.filled(0), b.filled(0))) + c = dot(b, a, strict=True) + assert_equal(c.mask, [[0, 0, 1], [0, 0, 1], [0, 0, 1]]) + c = dot(b, a, strict=False) + assert_equal(c, np.dot(b.filled(0), a.filled(0))) + # + a = masked_array(n, mask=[0, 0, 0, 0, 0, 1]).reshape(2, 3) + b = masked_array(n, mask=[0, 0, 1, 0, 0, 0]).reshape(3, 2) + c = dot(a, b, strict=True) + assert_equal(c.mask, [[1, 0], [1, 1]]) + c = dot(a, b, strict=False) + assert_equal(c, np.dot(a.filled(0), b.filled(0))) + c = dot(b, a, strict=True) + assert_equal(c.mask, [[0, 0, 1], [1, 1, 1], [0, 0, 1]]) + c = dot(b, a, strict=False) + assert_equal(c, np.dot(b.filled(0), a.filled(0))) + # + a = masked_array(np.arange(8).reshape(2, 2, 2), + mask=[[[1, 0], [0, 0]], [[0, 0], [0, 0]]]) + b = masked_array(np.arange(8).reshape(2, 2, 2), + mask=[[[0, 0], [0, 0]], [[0, 0], [0, 1]]]) + c = dot(a, b, strict=True) + assert_equal(c.mask, + [[[[1, 1], [1, 1]], [[0, 0], [0, 1]]], + [[[0, 0], [0, 1]], [[0, 0], [0, 1]]]]) + c = dot(a, b, strict=False) + assert_equal(c.mask, + [[[[0, 0], [0, 1]], [[0, 0], [0, 0]]], + [[[0, 0], [0, 0]], [[0, 0], [0, 0]]]]) + c = dot(b, a, strict=True) + assert_equal(c.mask, + [[[[1, 0], [0, 0]], [[1, 0], [0, 0]]], + [[[1, 0], [0, 0]], [[1, 1], [1, 1]]]]) + c = dot(b, a, strict=False) + assert_equal(c.mask, + [[[[0, 0], [0, 0]], [[0, 0], [0, 0]]], + [[[0, 0], [0, 0]], [[1, 0], [0, 0]]]]) + # + a = masked_array(np.arange(8).reshape(2, 2, 2), + mask=[[[1, 0], [0, 0]], [[0, 0], [0, 0]]]) + b = 5. + c = dot(a, b, strict=True) + assert_equal(c.mask, [[[1, 0], [0, 0]], [[0, 0], [0, 0]]]) + c = dot(a, b, strict=False) + assert_equal(c.mask, [[[1, 0], [0, 0]], [[0, 0], [0, 0]]]) + c = dot(b, a, strict=True) + assert_equal(c.mask, [[[1, 0], [0, 0]], [[0, 0], [0, 0]]]) + c = dot(b, a, strict=False) + assert_equal(c.mask, [[[1, 0], [0, 0]], [[0, 0], [0, 0]]]) + # + a = masked_array(np.arange(8).reshape(2, 2, 2), + mask=[[[1, 0], [0, 0]], [[0, 0], [0, 0]]]) + b = masked_array(np.arange(2), mask=[0, 1]) + c = dot(a, b, strict=True) + assert_equal(c.mask, [[1, 1], [1, 1]]) + c = dot(a, b, strict=False) + assert_equal(c.mask, [[1, 0], [0, 0]]) + + def test_dot_returns_maskedarray(self): + # See gh-6611 + a = np.eye(3) + b = array(a) + assert_(type(dot(a, a)) is MaskedArray) + assert_(type(dot(a, b)) is MaskedArray) + assert_(type(dot(b, a)) is MaskedArray) + assert_(type(dot(b, b)) is MaskedArray) + + def test_dot_out(self): + a = array(np.eye(3)) + out = array(np.zeros((3, 3))) + res = dot(a, a, out=out) + assert_(res is out) + assert_equal(a, res) + + +class TestApplyAlongAxis: + # Tests 2D functions + def test_3d(self): + a = arange(12.).reshape(2, 2, 3) + + def myfunc(b): + return b[1] + + xa = apply_along_axis(myfunc, 2, a) + assert_equal(xa, [[1, 4], [7, 10]]) + + # Tests kwargs functions + def test_3d_kwargs(self): + a = arange(12).reshape(2, 2, 3) + + def myfunc(b, offset=0): + return b[1+offset] + + xa = apply_along_axis(myfunc, 2, a, offset=1) + assert_equal(xa, [[2, 5], [8, 11]]) + + +class TestApplyOverAxes: + # Tests apply_over_axes + def test_basic(self): + a = arange(24).reshape(2, 3, 4) + test = apply_over_axes(np.sum, a, [0, 2]) + ctrl = np.array([[[60], [92], [124]]]) + assert_equal(test, ctrl) + a[(a % 2).astype(bool)] = masked + test = apply_over_axes(np.sum, a, [0, 2]) + ctrl = np.array([[[28], [44], [60]]]) + assert_equal(test, ctrl) + + +class TestMedian: + def test_pytype(self): + r = np.ma.median([[np.inf, np.inf], [np.inf, np.inf]], axis=-1) + assert_equal(r, np.inf) + + def test_inf(self): + # test that even which computes handles inf / x = masked + r = np.ma.median(np.ma.masked_array([[np.inf, np.inf], + [np.inf, np.inf]]), axis=-1) + assert_equal(r, np.inf) + r = np.ma.median(np.ma.masked_array([[np.inf, np.inf], + [np.inf, np.inf]]), axis=None) + assert_equal(r, np.inf) + # all masked + r = np.ma.median(np.ma.masked_array([[np.inf, np.inf], + [np.inf, np.inf]], mask=True), + axis=-1) + assert_equal(r.mask, True) + r = np.ma.median(np.ma.masked_array([[np.inf, np.inf], + [np.inf, np.inf]], mask=True), + axis=None) + assert_equal(r.mask, True) + + def test_non_masked(self): + x = np.arange(9) + assert_equal(np.ma.median(x), 4.) + assert_(type(np.ma.median(x)) is not MaskedArray) + x = range(8) + assert_equal(np.ma.median(x), 3.5) + assert_(type(np.ma.median(x)) is not MaskedArray) + x = 5 + assert_equal(np.ma.median(x), 5.) + assert_(type(np.ma.median(x)) is not MaskedArray) + # integer + x = np.arange(9 * 8).reshape(9, 8) + assert_equal(np.ma.median(x, axis=0), np.median(x, axis=0)) + assert_equal(np.ma.median(x, axis=1), np.median(x, axis=1)) + assert_(np.ma.median(x, axis=1) is not MaskedArray) + # float + x = np.arange(9 * 8.).reshape(9, 8) + assert_equal(np.ma.median(x, axis=0), np.median(x, axis=0)) + assert_equal(np.ma.median(x, axis=1), np.median(x, axis=1)) + assert_(np.ma.median(x, axis=1) is not MaskedArray) + + def test_docstring_examples(self): + "test the examples given in the docstring of ma.median" + x = array(np.arange(8), mask=[0]*4 + [1]*4) + assert_equal(np.ma.median(x), 1.5) + assert_equal(np.ma.median(x).shape, (), "shape mismatch") + assert_(type(np.ma.median(x)) is not MaskedArray) + x = array(np.arange(10).reshape(2, 5), mask=[0]*6 + [1]*4) + assert_equal(np.ma.median(x), 2.5) + assert_equal(np.ma.median(x).shape, (), "shape mismatch") + assert_(type(np.ma.median(x)) is not MaskedArray) + ma_x = np.ma.median(x, axis=-1, overwrite_input=True) + assert_equal(ma_x, [2., 5.]) + assert_equal(ma_x.shape, (2,), "shape mismatch") + assert_(type(ma_x) is MaskedArray) + + def test_axis_argument_errors(self): + msg = "mask = %s, ndim = %s, axis = %s, overwrite_input = %s" + for ndmin in range(5): + for mask in [False, True]: + x = array(1, ndmin=ndmin, mask=mask) + + # Valid axis values should not raise exception + args = itertools.product(range(-ndmin, ndmin), [False, True]) + for axis, over in args: + try: + np.ma.median(x, axis=axis, overwrite_input=over) + except Exception: + raise AssertionError(msg % (mask, ndmin, axis, over)) + + # Invalid axis values should raise exception + args = itertools.product([-(ndmin + 1), ndmin], [False, True]) + for axis, over in args: + try: + np.ma.median(x, axis=axis, overwrite_input=over) + except np.AxisError: + pass + else: + raise AssertionError(msg % (mask, ndmin, axis, over)) + + def test_masked_0d(self): + # Check values + x = array(1, mask=False) + assert_equal(np.ma.median(x), 1) + x = array(1, mask=True) + assert_equal(np.ma.median(x), np.ma.masked) + + def test_masked_1d(self): + x = array(np.arange(5), mask=True) + assert_equal(np.ma.median(x), np.ma.masked) + assert_equal(np.ma.median(x).shape, (), "shape mismatch") + assert_(type(np.ma.median(x)) is np.ma.core.MaskedConstant) + x = array(np.arange(5), mask=False) + assert_equal(np.ma.median(x), 2.) + assert_equal(np.ma.median(x).shape, (), "shape mismatch") + assert_(type(np.ma.median(x)) is not MaskedArray) + x = array(np.arange(5), mask=[0,1,0,0,0]) + assert_equal(np.ma.median(x), 2.5) + assert_equal(np.ma.median(x).shape, (), "shape mismatch") + assert_(type(np.ma.median(x)) is not MaskedArray) + x = array(np.arange(5), mask=[0,1,1,1,1]) + assert_equal(np.ma.median(x), 0.) + assert_equal(np.ma.median(x).shape, (), "shape mismatch") + assert_(type(np.ma.median(x)) is not MaskedArray) + # integer + x = array(np.arange(5), mask=[0,1,1,0,0]) + assert_equal(np.ma.median(x), 3.) + assert_equal(np.ma.median(x).shape, (), "shape mismatch") + assert_(type(np.ma.median(x)) is not MaskedArray) + # float + x = array(np.arange(5.), mask=[0,1,1,0,0]) + assert_equal(np.ma.median(x), 3.) + assert_equal(np.ma.median(x).shape, (), "shape mismatch") + assert_(type(np.ma.median(x)) is not MaskedArray) + # integer + x = array(np.arange(6), mask=[0,1,1,1,1,0]) + assert_equal(np.ma.median(x), 2.5) + assert_equal(np.ma.median(x).shape, (), "shape mismatch") + assert_(type(np.ma.median(x)) is not MaskedArray) + # float + x = array(np.arange(6.), mask=[0,1,1,1,1,0]) + assert_equal(np.ma.median(x), 2.5) + assert_equal(np.ma.median(x).shape, (), "shape mismatch") + assert_(type(np.ma.median(x)) is not MaskedArray) + + def test_1d_shape_consistency(self): + assert_equal(np.ma.median(array([1,2,3],mask=[0,0,0])).shape, + np.ma.median(array([1,2,3],mask=[0,1,0])).shape ) + + def test_2d(self): + # Tests median w/ 2D + (n, p) = (101, 30) + x = masked_array(np.linspace(-1., 1., n),) + x[:10] = x[-10:] = masked + z = masked_array(np.empty((n, p), dtype=float)) + z[:, 0] = x[:] + idx = np.arange(len(x)) + for i in range(1, p): + np.random.shuffle(idx) + z[:, i] = x[idx] + assert_equal(median(z[:, 0]), 0) + assert_equal(median(z), 0) + assert_equal(median(z, axis=0), np.zeros(p)) + assert_equal(median(z.T, axis=1), np.zeros(p)) + + def test_2d_waxis(self): + # Tests median w/ 2D arrays and different axis. + x = masked_array(np.arange(30).reshape(10, 3)) + x[:3] = x[-3:] = masked + assert_equal(median(x), 14.5) + assert_(type(np.ma.median(x)) is not MaskedArray) + assert_equal(median(x, axis=0), [13.5, 14.5, 15.5]) + assert_(type(np.ma.median(x, axis=0)) is MaskedArray) + assert_equal(median(x, axis=1), [0, 0, 0, 10, 13, 16, 19, 0, 0, 0]) + assert_(type(np.ma.median(x, axis=1)) is MaskedArray) + assert_equal(median(x, axis=1).mask, [1, 1, 1, 0, 0, 0, 0, 1, 1, 1]) + + def test_3d(self): + # Tests median w/ 3D + x = np.ma.arange(24).reshape(3, 4, 2) + x[x % 3 == 0] = masked + assert_equal(median(x, 0), [[12, 9], [6, 15], [12, 9], [18, 15]]) + x.shape = (4, 3, 2) + assert_equal(median(x, 0), [[99, 10], [11, 99], [13, 14]]) + x = np.ma.arange(24).reshape(4, 3, 2) + x[x % 5 == 0] = masked + assert_equal(median(x, 0), [[12, 10], [8, 9], [16, 17]]) + + def test_neg_axis(self): + x = masked_array(np.arange(30).reshape(10, 3)) + x[:3] = x[-3:] = masked + assert_equal(median(x, axis=-1), median(x, axis=1)) + + def test_out_1d(self): + # integer float even odd + for v in (30, 30., 31, 31.): + x = masked_array(np.arange(v)) + x[:3] = x[-3:] = masked + out = masked_array(np.ones(())) + r = median(x, out=out) + if v == 30: + assert_equal(out, 14.5) + else: + assert_equal(out, 15.) + assert_(r is out) + assert_(type(r) is MaskedArray) + + def test_out(self): + # integer float even odd + for v in (40, 40., 30, 30.): + x = masked_array(np.arange(v).reshape(10, -1)) + x[:3] = x[-3:] = masked + out = masked_array(np.ones(10)) + r = median(x, axis=1, out=out) + if v == 30: + e = masked_array([0.]*3 + [10, 13, 16, 19] + [0.]*3, + mask=[True] * 3 + [False] * 4 + [True] * 3) + else: + e = masked_array([0.]*3 + [13.5, 17.5, 21.5, 25.5] + [0.]*3, + mask=[True]*3 + [False]*4 + [True]*3) + assert_equal(r, e) + assert_(r is out) + assert_(type(r) is MaskedArray) + + @pytest.mark.parametrize( + argnames='axis', + argvalues=[ + None, + 1, + (1, ), + (0, 1), + (-3, -1), + ] + ) + def test_keepdims_out(self, axis): + mask = np.zeros((3, 5, 7, 11), dtype=bool) + # Randomly set some elements to True: + w = np.random.random((4, 200)) * np.array(mask.shape)[:, None] + w = w.astype(np.intp) + mask[tuple(w)] = np.nan + d = masked_array(np.ones(mask.shape), mask=mask) + if axis is None: + shape_out = (1,) * d.ndim + else: + axis_norm = normalize_axis_tuple(axis, d.ndim) + shape_out = tuple( + 1 if i in axis_norm else d.shape[i] for i in range(d.ndim)) + out = masked_array(np.empty(shape_out)) + result = median(d, axis=axis, keepdims=True, out=out) + assert result is out + assert_equal(result.shape, shape_out) + + def test_single_non_masked_value_on_axis(self): + data = [[1., 0.], + [0., 3.], + [0., 0.]] + masked_arr = np.ma.masked_equal(data, 0) + expected = [1., 3.] + assert_array_equal(np.ma.median(masked_arr, axis=0), + expected) + + def test_nan(self): + for mask in (False, np.zeros(6, dtype=bool)): + dm = np.ma.array([[1, np.nan, 3], [1, 2, 3]]) + dm.mask = mask + + # scalar result + r = np.ma.median(dm, axis=None) + assert_(np.isscalar(r)) + assert_array_equal(r, np.nan) + r = np.ma.median(dm.ravel(), axis=0) + assert_(np.isscalar(r)) + assert_array_equal(r, np.nan) + + r = np.ma.median(dm, axis=0) + assert_equal(type(r), MaskedArray) + assert_array_equal(r, [1, np.nan, 3]) + r = np.ma.median(dm, axis=1) + assert_equal(type(r), MaskedArray) + assert_array_equal(r, [np.nan, 2]) + r = np.ma.median(dm, axis=-1) + assert_equal(type(r), MaskedArray) + assert_array_equal(r, [np.nan, 2]) + + dm = np.ma.array([[1, np.nan, 3], [1, 2, 3]]) + dm[:, 2] = np.ma.masked + assert_array_equal(np.ma.median(dm, axis=None), np.nan) + assert_array_equal(np.ma.median(dm, axis=0), [1, np.nan, 3]) + assert_array_equal(np.ma.median(dm, axis=1), [np.nan, 1.5]) + + def test_out_nan(self): + o = np.ma.masked_array(np.zeros((4,))) + d = np.ma.masked_array(np.ones((3, 4))) + d[2, 1] = np.nan + d[2, 2] = np.ma.masked + assert_equal(np.ma.median(d, 0, out=o), o) + o = np.ma.masked_array(np.zeros((3,))) + assert_equal(np.ma.median(d, 1, out=o), o) + o = np.ma.masked_array(np.zeros(())) + assert_equal(np.ma.median(d, out=o), o) + + def test_nan_behavior(self): + a = np.ma.masked_array(np.arange(24, dtype=float)) + a[::3] = np.ma.masked + a[2] = np.nan + assert_array_equal(np.ma.median(a), np.nan) + assert_array_equal(np.ma.median(a, axis=0), np.nan) + + a = np.ma.masked_array(np.arange(24, dtype=float).reshape(2, 3, 4)) + a.mask = np.arange(a.size) % 2 == 1 + aorig = a.copy() + a[1, 2, 3] = np.nan + a[1, 1, 2] = np.nan + + # no axis + assert_array_equal(np.ma.median(a), np.nan) + assert_(np.isscalar(np.ma.median(a))) + + # axis0 + b = np.ma.median(aorig, axis=0) + b[2, 3] = np.nan + b[1, 2] = np.nan + assert_equal(np.ma.median(a, 0), b) + + # axis1 + b = np.ma.median(aorig, axis=1) + b[1, 3] = np.nan + b[1, 2] = np.nan + assert_equal(np.ma.median(a, 1), b) + + # axis02 + b = np.ma.median(aorig, axis=(0, 2)) + b[1] = np.nan + b[2] = np.nan + assert_equal(np.ma.median(a, (0, 2)), b) + + def test_ambigous_fill(self): + # 255 is max value, used as filler for sort + a = np.array([[3, 3, 255], [3, 3, 255]], dtype=np.uint8) + a = np.ma.masked_array(a, mask=a == 3) + assert_array_equal(np.ma.median(a, axis=1), 255) + assert_array_equal(np.ma.median(a, axis=1).mask, False) + assert_array_equal(np.ma.median(a, axis=0), a[0]) + assert_array_equal(np.ma.median(a), 255) + + def test_special(self): + for inf in [np.inf, -np.inf]: + a = np.array([[inf, np.nan], [np.nan, np.nan]]) + a = np.ma.masked_array(a, mask=np.isnan(a)) + assert_equal(np.ma.median(a, axis=0), [inf, np.nan]) + assert_equal(np.ma.median(a, axis=1), [inf, np.nan]) + assert_equal(np.ma.median(a), inf) + + a = np.array([[np.nan, np.nan, inf], [np.nan, np.nan, inf]]) + a = np.ma.masked_array(a, mask=np.isnan(a)) + assert_array_equal(np.ma.median(a, axis=1), inf) + assert_array_equal(np.ma.median(a, axis=1).mask, False) + assert_array_equal(np.ma.median(a, axis=0), a[0]) + assert_array_equal(np.ma.median(a), inf) + + # no mask + a = np.array([[inf, inf], [inf, inf]]) + assert_equal(np.ma.median(a), inf) + assert_equal(np.ma.median(a, axis=0), inf) + assert_equal(np.ma.median(a, axis=1), inf) + + a = np.array([[inf, 7, -inf, -9], + [-10, np.nan, np.nan, 5], + [4, np.nan, np.nan, inf]], + dtype=np.float32) + a = np.ma.masked_array(a, mask=np.isnan(a)) + if inf > 0: + assert_equal(np.ma.median(a, axis=0), [4., 7., -inf, 5.]) + assert_equal(np.ma.median(a), 4.5) + else: + assert_equal(np.ma.median(a, axis=0), [-10., 7., -inf, -9.]) + assert_equal(np.ma.median(a), -2.5) + assert_equal(np.ma.median(a, axis=1), [-1., -2.5, inf]) + + for i in range(0, 10): + for j in range(1, 10): + a = np.array([([np.nan] * i) + ([inf] * j)] * 2) + a = np.ma.masked_array(a, mask=np.isnan(a)) + assert_equal(np.ma.median(a), inf) + assert_equal(np.ma.median(a, axis=1), inf) + assert_equal(np.ma.median(a, axis=0), + ([np.nan] * i) + [inf] * j) + + def test_empty(self): + # empty arrays + a = np.ma.masked_array(np.array([], dtype=float)) + with suppress_warnings() as w: + w.record(RuntimeWarning) + assert_array_equal(np.ma.median(a), np.nan) + assert_(w.log[0].category is RuntimeWarning) + + # multiple dimensions + a = np.ma.masked_array(np.array([], dtype=float, ndmin=3)) + # no axis + with suppress_warnings() as w: + w.record(RuntimeWarning) + warnings.filterwarnings('always', '', RuntimeWarning) + assert_array_equal(np.ma.median(a), np.nan) + assert_(w.log[0].category is RuntimeWarning) + + # axis 0 and 1 + b = np.ma.masked_array(np.array([], dtype=float, ndmin=2)) + assert_equal(np.ma.median(a, axis=0), b) + assert_equal(np.ma.median(a, axis=1), b) + + # axis 2 + b = np.ma.masked_array(np.array(np.nan, dtype=float, ndmin=2)) + with warnings.catch_warnings(record=True) as w: + warnings.filterwarnings('always', '', RuntimeWarning) + assert_equal(np.ma.median(a, axis=2), b) + assert_(w[0].category is RuntimeWarning) + + def test_object(self): + o = np.ma.masked_array(np.arange(7.)) + assert_(type(np.ma.median(o.astype(object))), float) + o[2] = np.nan + assert_(type(np.ma.median(o.astype(object))), float) + + +class TestCov: + + def setup_method(self): + self.data = array(np.random.rand(12)) + + def test_1d_without_missing(self): + # Test cov on 1D variable w/o missing values + x = self.data + assert_almost_equal(np.cov(x), cov(x)) + assert_almost_equal(np.cov(x, rowvar=False), cov(x, rowvar=False)) + assert_almost_equal(np.cov(x, rowvar=False, bias=True), + cov(x, rowvar=False, bias=True)) + + def test_2d_without_missing(self): + # Test cov on 1 2D variable w/o missing values + x = self.data.reshape(3, 4) + assert_almost_equal(np.cov(x), cov(x)) + assert_almost_equal(np.cov(x, rowvar=False), cov(x, rowvar=False)) + assert_almost_equal(np.cov(x, rowvar=False, bias=True), + cov(x, rowvar=False, bias=True)) + + def test_1d_with_missing(self): + # Test cov 1 1D variable w/missing values + x = self.data + x[-1] = masked + x -= x.mean() + nx = x.compressed() + assert_almost_equal(np.cov(nx), cov(x)) + assert_almost_equal(np.cov(nx, rowvar=False), cov(x, rowvar=False)) + assert_almost_equal(np.cov(nx, rowvar=False, bias=True), + cov(x, rowvar=False, bias=True)) + # + try: + cov(x, allow_masked=False) + except ValueError: + pass + # + # 2 1D variables w/ missing values + nx = x[1:-1] + assert_almost_equal(np.cov(nx, nx[::-1]), cov(x, x[::-1])) + assert_almost_equal(np.cov(nx, nx[::-1], rowvar=False), + cov(x, x[::-1], rowvar=False)) + assert_almost_equal(np.cov(nx, nx[::-1], rowvar=False, bias=True), + cov(x, x[::-1], rowvar=False, bias=True)) + + def test_2d_with_missing(self): + # Test cov on 2D variable w/ missing value + x = self.data + x[-1] = masked + x = x.reshape(3, 4) + valid = np.logical_not(getmaskarray(x)).astype(int) + frac = np.dot(valid, valid.T) + xf = (x - x.mean(1)[:, None]).filled(0) + assert_almost_equal(cov(x), + np.cov(xf) * (x.shape[1] - 1) / (frac - 1.)) + assert_almost_equal(cov(x, bias=True), + np.cov(xf, bias=True) * x.shape[1] / frac) + frac = np.dot(valid.T, valid) + xf = (x - x.mean(0)).filled(0) + assert_almost_equal(cov(x, rowvar=False), + (np.cov(xf, rowvar=False) * + (x.shape[0] - 1) / (frac - 1.))) + assert_almost_equal(cov(x, rowvar=False, bias=True), + (np.cov(xf, rowvar=False, bias=True) * + x.shape[0] / frac)) + + +class TestCorrcoef: + + def setup_method(self): + self.data = array(np.random.rand(12)) + self.data2 = array(np.random.rand(12)) + + def test_ddof(self): + # ddof raises DeprecationWarning + x, y = self.data, self.data2 + expected = np.corrcoef(x) + expected2 = np.corrcoef(x, y) + with suppress_warnings() as sup: + warnings.simplefilter("always") + assert_warns(DeprecationWarning, corrcoef, x, ddof=-1) + sup.filter(DeprecationWarning, "bias and ddof have no effect") + # ddof has no or negligible effect on the function + assert_almost_equal(np.corrcoef(x, ddof=0), corrcoef(x, ddof=0)) + assert_almost_equal(corrcoef(x, ddof=-1), expected) + assert_almost_equal(corrcoef(x, y, ddof=-1), expected2) + assert_almost_equal(corrcoef(x, ddof=3), expected) + assert_almost_equal(corrcoef(x, y, ddof=3), expected2) + + def test_bias(self): + x, y = self.data, self.data2 + expected = np.corrcoef(x) + # bias raises DeprecationWarning + with suppress_warnings() as sup: + warnings.simplefilter("always") + assert_warns(DeprecationWarning, corrcoef, x, y, True, False) + assert_warns(DeprecationWarning, corrcoef, x, y, True, True) + assert_warns(DeprecationWarning, corrcoef, x, bias=False) + sup.filter(DeprecationWarning, "bias and ddof have no effect") + # bias has no or negligible effect on the function + assert_almost_equal(corrcoef(x, bias=1), expected) + + def test_1d_without_missing(self): + # Test cov on 1D variable w/o missing values + x = self.data + assert_almost_equal(np.corrcoef(x), corrcoef(x)) + assert_almost_equal(np.corrcoef(x, rowvar=False), + corrcoef(x, rowvar=False)) + with suppress_warnings() as sup: + sup.filter(DeprecationWarning, "bias and ddof have no effect") + assert_almost_equal(np.corrcoef(x, rowvar=False, bias=True), + corrcoef(x, rowvar=False, bias=True)) + + def test_2d_without_missing(self): + # Test corrcoef on 1 2D variable w/o missing values + x = self.data.reshape(3, 4) + assert_almost_equal(np.corrcoef(x), corrcoef(x)) + assert_almost_equal(np.corrcoef(x, rowvar=False), + corrcoef(x, rowvar=False)) + with suppress_warnings() as sup: + sup.filter(DeprecationWarning, "bias and ddof have no effect") + assert_almost_equal(np.corrcoef(x, rowvar=False, bias=True), + corrcoef(x, rowvar=False, bias=True)) + + def test_1d_with_missing(self): + # Test corrcoef 1 1D variable w/missing values + x = self.data + x[-1] = masked + x -= x.mean() + nx = x.compressed() + assert_almost_equal(np.corrcoef(nx), corrcoef(x)) + assert_almost_equal(np.corrcoef(nx, rowvar=False), + corrcoef(x, rowvar=False)) + with suppress_warnings() as sup: + sup.filter(DeprecationWarning, "bias and ddof have no effect") + assert_almost_equal(np.corrcoef(nx, rowvar=False, bias=True), + corrcoef(x, rowvar=False, bias=True)) + try: + corrcoef(x, allow_masked=False) + except ValueError: + pass + # 2 1D variables w/ missing values + nx = x[1:-1] + assert_almost_equal(np.corrcoef(nx, nx[::-1]), corrcoef(x, x[::-1])) + assert_almost_equal(np.corrcoef(nx, nx[::-1], rowvar=False), + corrcoef(x, x[::-1], rowvar=False)) + with suppress_warnings() as sup: + sup.filter(DeprecationWarning, "bias and ddof have no effect") + # ddof and bias have no or negligible effect on the function + assert_almost_equal(np.corrcoef(nx, nx[::-1]), + corrcoef(x, x[::-1], bias=1)) + assert_almost_equal(np.corrcoef(nx, nx[::-1]), + corrcoef(x, x[::-1], ddof=2)) + + def test_2d_with_missing(self): + # Test corrcoef on 2D variable w/ missing value + x = self.data + x[-1] = masked + x = x.reshape(3, 4) + + test = corrcoef(x) + control = np.corrcoef(x) + assert_almost_equal(test[:-1, :-1], control[:-1, :-1]) + with suppress_warnings() as sup: + sup.filter(DeprecationWarning, "bias and ddof have no effect") + # ddof and bias have no or negligible effect on the function + assert_almost_equal(corrcoef(x, ddof=-2)[:-1, :-1], + control[:-1, :-1]) + assert_almost_equal(corrcoef(x, ddof=3)[:-1, :-1], + control[:-1, :-1]) + assert_almost_equal(corrcoef(x, bias=1)[:-1, :-1], + control[:-1, :-1]) + + +class TestPolynomial: + # + def test_polyfit(self): + # Tests polyfit + # On ndarrays + x = np.random.rand(10) + y = np.random.rand(20).reshape(-1, 2) + assert_almost_equal(polyfit(x, y, 3), np.polyfit(x, y, 3)) + # ON 1D maskedarrays + x = x.view(MaskedArray) + x[0] = masked + y = y.view(MaskedArray) + y[0, 0] = y[-1, -1] = masked + # + (C, R, K, S, D) = polyfit(x, y[:, 0], 3, full=True) + (c, r, k, s, d) = np.polyfit(x[1:], y[1:, 0].compressed(), 3, + full=True) + for (a, a_) in zip((C, R, K, S, D), (c, r, k, s, d)): + assert_almost_equal(a, a_) + # + (C, R, K, S, D) = polyfit(x, y[:, -1], 3, full=True) + (c, r, k, s, d) = np.polyfit(x[1:-1], y[1:-1, -1], 3, full=True) + for (a, a_) in zip((C, R, K, S, D), (c, r, k, s, d)): + assert_almost_equal(a, a_) + # + (C, R, K, S, D) = polyfit(x, y, 3, full=True) + (c, r, k, s, d) = np.polyfit(x[1:-1], y[1:-1,:], 3, full=True) + for (a, a_) in zip((C, R, K, S, D), (c, r, k, s, d)): + assert_almost_equal(a, a_) + # + w = np.random.rand(10) + 1 + wo = w.copy() + xs = x[1:-1] + ys = y[1:-1] + ws = w[1:-1] + (C, R, K, S, D) = polyfit(x, y, 3, full=True, w=w) + (c, r, k, s, d) = np.polyfit(xs, ys, 3, full=True, w=ws) + assert_equal(w, wo) + for (a, a_) in zip((C, R, K, S, D), (c, r, k, s, d)): + assert_almost_equal(a, a_) + + def test_polyfit_with_masked_NaNs(self): + x = np.random.rand(10) + y = np.random.rand(20).reshape(-1, 2) + + x[0] = np.nan + y[-1,-1] = np.nan + x = x.view(MaskedArray) + y = y.view(MaskedArray) + x[0] = masked + y[-1,-1] = masked + + (C, R, K, S, D) = polyfit(x, y, 3, full=True) + (c, r, k, s, d) = np.polyfit(x[1:-1], y[1:-1,:], 3, full=True) + for (a, a_) in zip((C, R, K, S, D), (c, r, k, s, d)): + assert_almost_equal(a, a_) + + +class TestArraySetOps: + + def test_unique_onlist(self): + # Test unique on list + data = [1, 1, 1, 2, 2, 3] + test = unique(data, return_index=True, return_inverse=True) + assert_(isinstance(test[0], MaskedArray)) + assert_equal(test[0], masked_array([1, 2, 3], mask=[0, 0, 0])) + assert_equal(test[1], [0, 3, 5]) + assert_equal(test[2], [0, 0, 0, 1, 1, 2]) + + def test_unique_onmaskedarray(self): + # Test unique on masked data w/use_mask=True + data = masked_array([1, 1, 1, 2, 2, 3], mask=[0, 0, 1, 0, 1, 0]) + test = unique(data, return_index=True, return_inverse=True) + assert_equal(test[0], masked_array([1, 2, 3, -1], mask=[0, 0, 0, 1])) + assert_equal(test[1], [0, 3, 5, 2]) + assert_equal(test[2], [0, 0, 3, 1, 3, 2]) + # + data.fill_value = 3 + data = masked_array(data=[1, 1, 1, 2, 2, 3], + mask=[0, 0, 1, 0, 1, 0], fill_value=3) + test = unique(data, return_index=True, return_inverse=True) + assert_equal(test[0], masked_array([1, 2, 3, -1], mask=[0, 0, 0, 1])) + assert_equal(test[1], [0, 3, 5, 2]) + assert_equal(test[2], [0, 0, 3, 1, 3, 2]) + + def test_unique_allmasked(self): + # Test all masked + data = masked_array([1, 1, 1], mask=True) + test = unique(data, return_index=True, return_inverse=True) + assert_equal(test[0], masked_array([1, ], mask=[True])) + assert_equal(test[1], [0]) + assert_equal(test[2], [0, 0, 0]) + # + # Test masked + data = masked + test = unique(data, return_index=True, return_inverse=True) + assert_equal(test[0], masked_array(masked)) + assert_equal(test[1], [0]) + assert_equal(test[2], [0]) + + def test_ediff1d(self): + # Tests mediff1d + x = masked_array(np.arange(5), mask=[1, 0, 0, 0, 1]) + control = array([1, 1, 1, 4], mask=[1, 0, 0, 1]) + test = ediff1d(x) + assert_equal(test, control) + assert_equal(test.filled(0), control.filled(0)) + assert_equal(test.mask, control.mask) + + def test_ediff1d_tobegin(self): + # Test ediff1d w/ to_begin + x = masked_array(np.arange(5), mask=[1, 0, 0, 0, 1]) + test = ediff1d(x, to_begin=masked) + control = array([0, 1, 1, 1, 4], mask=[1, 1, 0, 0, 1]) + assert_equal(test, control) + assert_equal(test.filled(0), control.filled(0)) + assert_equal(test.mask, control.mask) + # + test = ediff1d(x, to_begin=[1, 2, 3]) + control = array([1, 2, 3, 1, 1, 1, 4], mask=[0, 0, 0, 1, 0, 0, 1]) + assert_equal(test, control) + assert_equal(test.filled(0), control.filled(0)) + assert_equal(test.mask, control.mask) + + def test_ediff1d_toend(self): + # Test ediff1d w/ to_end + x = masked_array(np.arange(5), mask=[1, 0, 0, 0, 1]) + test = ediff1d(x, to_end=masked) + control = array([1, 1, 1, 4, 0], mask=[1, 0, 0, 1, 1]) + assert_equal(test, control) + assert_equal(test.filled(0), control.filled(0)) + assert_equal(test.mask, control.mask) + # + test = ediff1d(x, to_end=[1, 2, 3]) + control = array([1, 1, 1, 4, 1, 2, 3], mask=[1, 0, 0, 1, 0, 0, 0]) + assert_equal(test, control) + assert_equal(test.filled(0), control.filled(0)) + assert_equal(test.mask, control.mask) + + def test_ediff1d_tobegin_toend(self): + # Test ediff1d w/ to_begin and to_end + x = masked_array(np.arange(5), mask=[1, 0, 0, 0, 1]) + test = ediff1d(x, to_end=masked, to_begin=masked) + control = array([0, 1, 1, 1, 4, 0], mask=[1, 1, 0, 0, 1, 1]) + assert_equal(test, control) + assert_equal(test.filled(0), control.filled(0)) + assert_equal(test.mask, control.mask) + # + test = ediff1d(x, to_end=[1, 2, 3], to_begin=masked) + control = array([0, 1, 1, 1, 4, 1, 2, 3], + mask=[1, 1, 0, 0, 1, 0, 0, 0]) + assert_equal(test, control) + assert_equal(test.filled(0), control.filled(0)) + assert_equal(test.mask, control.mask) + + def test_ediff1d_ndarray(self): + # Test ediff1d w/ a ndarray + x = np.arange(5) + test = ediff1d(x) + control = array([1, 1, 1, 1], mask=[0, 0, 0, 0]) + assert_equal(test, control) + assert_(isinstance(test, MaskedArray)) + assert_equal(test.filled(0), control.filled(0)) + assert_equal(test.mask, control.mask) + # + test = ediff1d(x, to_end=masked, to_begin=masked) + control = array([0, 1, 1, 1, 1, 0], mask=[1, 0, 0, 0, 0, 1]) + assert_(isinstance(test, MaskedArray)) + assert_equal(test.filled(0), control.filled(0)) + assert_equal(test.mask, control.mask) + + def test_intersect1d(self): + # Test intersect1d + x = array([1, 3, 3, 3], mask=[0, 0, 0, 1]) + y = array([3, 1, 1, 1], mask=[0, 0, 0, 1]) + test = intersect1d(x, y) + control = array([1, 3, -1], mask=[0, 0, 1]) + assert_equal(test, control) + + def test_setxor1d(self): + # Test setxor1d + a = array([1, 2, 5, 7, -1], mask=[0, 0, 0, 0, 1]) + b = array([1, 2, 3, 4, 5, -1], mask=[0, 0, 0, 0, 0, 1]) + test = setxor1d(a, b) + assert_equal(test, array([3, 4, 7])) + # + a = array([1, 2, 5, 7, -1], mask=[0, 0, 0, 0, 1]) + b = [1, 2, 3, 4, 5] + test = setxor1d(a, b) + assert_equal(test, array([3, 4, 7, -1], mask=[0, 0, 0, 1])) + # + a = array([1, 2, 3]) + b = array([6, 5, 4]) + test = setxor1d(a, b) + assert_(isinstance(test, MaskedArray)) + assert_equal(test, [1, 2, 3, 4, 5, 6]) + # + a = array([1, 8, 2, 3], mask=[0, 1, 0, 0]) + b = array([6, 5, 4, 8], mask=[0, 0, 0, 1]) + test = setxor1d(a, b) + assert_(isinstance(test, MaskedArray)) + assert_equal(test, [1, 2, 3, 4, 5, 6]) + # + assert_array_equal([], setxor1d([], [])) + + def test_isin(self): + # the tests for in1d cover most of isin's behavior + # if in1d is removed, would need to change those tests to test + # isin instead. + a = np.arange(24).reshape([2, 3, 4]) + mask = np.zeros([2, 3, 4]) + mask[1, 2, 0] = 1 + a = array(a, mask=mask) + b = array(data=[0, 10, 20, 30, 1, 3, 11, 22, 33], + mask=[0, 1, 0, 1, 0, 1, 0, 1, 0]) + ec = zeros((2, 3, 4), dtype=bool) + ec[0, 0, 0] = True + ec[0, 0, 1] = True + ec[0, 2, 3] = True + c = isin(a, b) + assert_(isinstance(c, MaskedArray)) + assert_array_equal(c, ec) + #compare results of np.isin to ma.isin + d = np.isin(a, b[~b.mask]) & ~a.mask + assert_array_equal(c, d) + + def test_in1d(self): + # Test in1d + a = array([1, 2, 5, 7, -1], mask=[0, 0, 0, 0, 1]) + b = array([1, 2, 3, 4, 5, -1], mask=[0, 0, 0, 0, 0, 1]) + test = in1d(a, b) + assert_equal(test, [True, True, True, False, True]) + # + a = array([5, 5, 2, 1, -1], mask=[0, 0, 0, 0, 1]) + b = array([1, 5, -1], mask=[0, 0, 1]) + test = in1d(a, b) + assert_equal(test, [True, True, False, True, True]) + # + assert_array_equal([], in1d([], [])) + + def test_in1d_invert(self): + # Test in1d's invert parameter + a = array([1, 2, 5, 7, -1], mask=[0, 0, 0, 0, 1]) + b = array([1, 2, 3, 4, 5, -1], mask=[0, 0, 0, 0, 0, 1]) + assert_equal(np.invert(in1d(a, b)), in1d(a, b, invert=True)) + + a = array([5, 5, 2, 1, -1], mask=[0, 0, 0, 0, 1]) + b = array([1, 5, -1], mask=[0, 0, 1]) + assert_equal(np.invert(in1d(a, b)), in1d(a, b, invert=True)) + + assert_array_equal([], in1d([], [], invert=True)) + + def test_union1d(self): + # Test union1d + a = array([1, 2, 5, 7, 5, -1], mask=[0, 0, 0, 0, 0, 1]) + b = array([1, 2, 3, 4, 5, -1], mask=[0, 0, 0, 0, 0, 1]) + test = union1d(a, b) + control = array([1, 2, 3, 4, 5, 7, -1], mask=[0, 0, 0, 0, 0, 0, 1]) + assert_equal(test, control) + + # Tests gh-10340, arguments to union1d should be + # flattened if they are not already 1D + x = array([[0, 1, 2], [3, 4, 5]], mask=[[0, 0, 0], [0, 0, 1]]) + y = array([0, 1, 2, 3, 4], mask=[0, 0, 0, 0, 1]) + ez = array([0, 1, 2, 3, 4, 5], mask=[0, 0, 0, 0, 0, 1]) + z = union1d(x, y) + assert_equal(z, ez) + # + assert_array_equal([], union1d([], [])) + + def test_setdiff1d(self): + # Test setdiff1d + a = array([6, 5, 4, 7, 7, 1, 2, 1], mask=[0, 0, 0, 0, 0, 0, 0, 1]) + b = array([2, 4, 3, 3, 2, 1, 5]) + test = setdiff1d(a, b) + assert_equal(test, array([6, 7, -1], mask=[0, 0, 1])) + # + a = arange(10) + b = arange(8) + assert_equal(setdiff1d(a, b), array([8, 9])) + a = array([], np.uint32, mask=[]) + assert_equal(setdiff1d(a, []).dtype, np.uint32) + + def test_setdiff1d_char_array(self): + # Test setdiff1d_charray + a = np.array(['a', 'b', 'c']) + b = np.array(['a', 'b', 's']) + assert_array_equal(setdiff1d(a, b), np.array(['c'])) + + +class TestShapeBase: + + def test_atleast_2d(self): + # Test atleast_2d + a = masked_array([0, 1, 2], mask=[0, 1, 0]) + b = atleast_2d(a) + assert_equal(b.shape, (1, 3)) + assert_equal(b.mask.shape, b.data.shape) + assert_equal(a.shape, (3,)) + assert_equal(a.mask.shape, a.data.shape) + assert_equal(b.mask.shape, b.data.shape) + + def test_shape_scalar(self): + # the atleast and diagflat function should work with scalars + # GitHub issue #3367 + # Additionally, the atleast functions should accept multiple scalars + # correctly + b = atleast_1d(1.0) + assert_equal(b.shape, (1,)) + assert_equal(b.mask.shape, b.shape) + assert_equal(b.data.shape, b.shape) + + b = atleast_1d(1.0, 2.0) + for a in b: + assert_equal(a.shape, (1,)) + assert_equal(a.mask.shape, a.shape) + assert_equal(a.data.shape, a.shape) + + b = atleast_2d(1.0) + assert_equal(b.shape, (1, 1)) + assert_equal(b.mask.shape, b.shape) + assert_equal(b.data.shape, b.shape) + + b = atleast_2d(1.0, 2.0) + for a in b: + assert_equal(a.shape, (1, 1)) + assert_equal(a.mask.shape, a.shape) + assert_equal(a.data.shape, a.shape) + + b = atleast_3d(1.0) + assert_equal(b.shape, (1, 1, 1)) + assert_equal(b.mask.shape, b.shape) + assert_equal(b.data.shape, b.shape) + + b = atleast_3d(1.0, 2.0) + for a in b: + assert_equal(a.shape, (1, 1, 1)) + assert_equal(a.mask.shape, a.shape) + assert_equal(a.data.shape, a.shape) + + b = diagflat(1.0) + assert_equal(b.shape, (1, 1)) + assert_equal(b.mask.shape, b.data.shape) + + +class TestNDEnumerate: + + def test_ndenumerate_nomasked(self): + ordinary = np.arange(6.).reshape((1, 3, 2)) + empty_mask = np.zeros_like(ordinary, dtype=bool) + with_mask = masked_array(ordinary, mask=empty_mask) + assert_equal(list(np.ndenumerate(ordinary)), + list(ndenumerate(ordinary))) + assert_equal(list(ndenumerate(ordinary)), + list(ndenumerate(with_mask))) + assert_equal(list(ndenumerate(with_mask)), + list(ndenumerate(with_mask, compressed=False))) + + def test_ndenumerate_allmasked(self): + a = masked_all(()) + b = masked_all((100,)) + c = masked_all((2, 3, 4)) + assert_equal(list(ndenumerate(a)), []) + assert_equal(list(ndenumerate(b)), []) + assert_equal(list(ndenumerate(b, compressed=False)), + list(zip(np.ndindex((100,)), 100 * [masked]))) + assert_equal(list(ndenumerate(c)), []) + assert_equal(list(ndenumerate(c, compressed=False)), + list(zip(np.ndindex((2, 3, 4)), 2 * 3 * 4 * [masked]))) + + def test_ndenumerate_mixedmasked(self): + a = masked_array(np.arange(12).reshape((3, 4)), + mask=[[1, 1, 1, 1], + [1, 1, 0, 1], + [0, 0, 0, 0]]) + items = [((1, 2), 6), + ((2, 0), 8), ((2, 1), 9), ((2, 2), 10), ((2, 3), 11)] + assert_equal(list(ndenumerate(a)), items) + assert_equal(len(list(ndenumerate(a, compressed=False))), a.size) + for coordinate, value in ndenumerate(a, compressed=False): + assert_equal(a[coordinate], value) + + +class TestStack: + + def test_stack_1d(self): + a = masked_array([0, 1, 2], mask=[0, 1, 0]) + b = masked_array([9, 8, 7], mask=[1, 0, 0]) + + c = stack([a, b], axis=0) + assert_equal(c.shape, (2, 3)) + assert_array_equal(a.mask, c[0].mask) + assert_array_equal(b.mask, c[1].mask) + + d = vstack([a, b]) + assert_array_equal(c.data, d.data) + assert_array_equal(c.mask, d.mask) + + c = stack([a, b], axis=1) + assert_equal(c.shape, (3, 2)) + assert_array_equal(a.mask, c[:, 0].mask) + assert_array_equal(b.mask, c[:, 1].mask) + + def test_stack_masks(self): + a = masked_array([0, 1, 2], mask=True) + b = masked_array([9, 8, 7], mask=False) + + c = stack([a, b], axis=0) + assert_equal(c.shape, (2, 3)) + assert_array_equal(a.mask, c[0].mask) + assert_array_equal(b.mask, c[1].mask) + + d = vstack([a, b]) + assert_array_equal(c.data, d.data) + assert_array_equal(c.mask, d.mask) + + c = stack([a, b], axis=1) + assert_equal(c.shape, (3, 2)) + assert_array_equal(a.mask, c[:, 0].mask) + assert_array_equal(b.mask, c[:, 1].mask) + + def test_stack_nd(self): + # 2D + shp = (3, 2) + d1 = np.random.randint(0, 10, shp) + d2 = np.random.randint(0, 10, shp) + m1 = np.random.randint(0, 2, shp).astype(bool) + m2 = np.random.randint(0, 2, shp).astype(bool) + a1 = masked_array(d1, mask=m1) + a2 = masked_array(d2, mask=m2) + + c = stack([a1, a2], axis=0) + c_shp = (2,) + shp + assert_equal(c.shape, c_shp) + assert_array_equal(a1.mask, c[0].mask) + assert_array_equal(a2.mask, c[1].mask) + + c = stack([a1, a2], axis=-1) + c_shp = shp + (2,) + assert_equal(c.shape, c_shp) + assert_array_equal(a1.mask, c[..., 0].mask) + assert_array_equal(a2.mask, c[..., 1].mask) + + # 4D + shp = (3, 2, 4, 5,) + d1 = np.random.randint(0, 10, shp) + d2 = np.random.randint(0, 10, shp) + m1 = np.random.randint(0, 2, shp).astype(bool) + m2 = np.random.randint(0, 2, shp).astype(bool) + a1 = masked_array(d1, mask=m1) + a2 = masked_array(d2, mask=m2) + + c = stack([a1, a2], axis=0) + c_shp = (2,) + shp + assert_equal(c.shape, c_shp) + assert_array_equal(a1.mask, c[0].mask) + assert_array_equal(a2.mask, c[1].mask) + + c = stack([a1, a2], axis=-1) + c_shp = shp + (2,) + assert_equal(c.shape, c_shp) + assert_array_equal(a1.mask, c[..., 0].mask) + assert_array_equal(a2.mask, c[..., 1].mask) diff --git a/lib/python3.12/site-packages/numpy/ma/tests/test_mrecords.py b/lib/python3.12/site-packages/numpy/ma/tests/test_mrecords.py new file mode 100644 index 0000000000000000000000000000000000000000..77123c3cda941636354a7b282777f3f0e55d3ab0 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/ma/tests/test_mrecords.py @@ -0,0 +1,493 @@ +# pylint: disable-msg=W0611, W0612, W0511,R0201 +"""Tests suite for mrecords. + +:author: Pierre Gerard-Marchant +:contact: pierregm_at_uga_dot_edu + +""" +import numpy as np +import numpy.ma as ma +from numpy import recarray +from numpy.ma import masked, nomask +from numpy.testing import temppath +from numpy.core.records import ( + fromrecords as recfromrecords, fromarrays as recfromarrays + ) +from numpy.ma.mrecords import ( + MaskedRecords, mrecarray, fromarrays, fromtextfile, fromrecords, + addfield + ) +from numpy.ma.testutils import ( + assert_, assert_equal, + assert_equal_records, + ) +from numpy.compat import pickle + + +class TestMRecords: + + ilist = [1, 2, 3, 4, 5] + flist = [1.1, 2.2, 3.3, 4.4, 5.5] + slist = [b'one', b'two', b'three', b'four', b'five'] + ddtype = [('a', int), ('b', float), ('c', '|S8')] + mask = [0, 1, 0, 0, 1] + base = ma.array(list(zip(ilist, flist, slist)), mask=mask, dtype=ddtype) + + def test_byview(self): + # Test creation by view + base = self.base + mbase = base.view(mrecarray) + assert_equal(mbase.recordmask, base.recordmask) + assert_equal_records(mbase._mask, base._mask) + assert_(isinstance(mbase._data, recarray)) + assert_equal_records(mbase._data, base._data.view(recarray)) + for field in ('a', 'b', 'c'): + assert_equal(base[field], mbase[field]) + assert_equal_records(mbase.view(mrecarray), mbase) + + def test_get(self): + # Tests fields retrieval + base = self.base.copy() + mbase = base.view(mrecarray) + # As fields.......... + for field in ('a', 'b', 'c'): + assert_equal(getattr(mbase, field), mbase[field]) + assert_equal(base[field], mbase[field]) + # as elements ....... + mbase_first = mbase[0] + assert_(isinstance(mbase_first, mrecarray)) + assert_equal(mbase_first.dtype, mbase.dtype) + assert_equal(mbase_first.tolist(), (1, 1.1, b'one')) + # Used to be mask, now it's recordmask + assert_equal(mbase_first.recordmask, nomask) + assert_equal(mbase_first._mask.item(), (False, False, False)) + assert_equal(mbase_first['a'], mbase['a'][0]) + mbase_last = mbase[-1] + assert_(isinstance(mbase_last, mrecarray)) + assert_equal(mbase_last.dtype, mbase.dtype) + assert_equal(mbase_last.tolist(), (None, None, None)) + # Used to be mask, now it's recordmask + assert_equal(mbase_last.recordmask, True) + assert_equal(mbase_last._mask.item(), (True, True, True)) + assert_equal(mbase_last['a'], mbase['a'][-1]) + assert_((mbase_last['a'] is masked)) + # as slice .......... + mbase_sl = mbase[:2] + assert_(isinstance(mbase_sl, mrecarray)) + assert_equal(mbase_sl.dtype, mbase.dtype) + # Used to be mask, now it's recordmask + assert_equal(mbase_sl.recordmask, [0, 1]) + assert_equal_records(mbase_sl.mask, + np.array([(False, False, False), + (True, True, True)], + dtype=mbase._mask.dtype)) + assert_equal_records(mbase_sl, base[:2].view(mrecarray)) + for field in ('a', 'b', 'c'): + assert_equal(getattr(mbase_sl, field), base[:2][field]) + + def test_set_fields(self): + # Tests setting fields. + base = self.base.copy() + mbase = base.view(mrecarray) + mbase = mbase.copy() + mbase.fill_value = (999999, 1e20, 'N/A') + # Change the data, the mask should be conserved + mbase.a._data[:] = 5 + assert_equal(mbase['a']._data, [5, 5, 5, 5, 5]) + assert_equal(mbase['a']._mask, [0, 1, 0, 0, 1]) + # Change the elements, and the mask will follow + mbase.a = 1 + assert_equal(mbase['a']._data, [1]*5) + assert_equal(ma.getmaskarray(mbase['a']), [0]*5) + # Use to be _mask, now it's recordmask + assert_equal(mbase.recordmask, [False]*5) + assert_equal(mbase._mask.tolist(), + np.array([(0, 0, 0), + (0, 1, 1), + (0, 0, 0), + (0, 0, 0), + (0, 1, 1)], + dtype=bool)) + # Set a field to mask ........................ + mbase.c = masked + # Use to be mask, and now it's still mask ! + assert_equal(mbase.c.mask, [1]*5) + assert_equal(mbase.c.recordmask, [1]*5) + assert_equal(ma.getmaskarray(mbase['c']), [1]*5) + assert_equal(ma.getdata(mbase['c']), [b'N/A']*5) + assert_equal(mbase._mask.tolist(), + np.array([(0, 0, 1), + (0, 1, 1), + (0, 0, 1), + (0, 0, 1), + (0, 1, 1)], + dtype=bool)) + # Set fields by slices ....................... + mbase = base.view(mrecarray).copy() + mbase.a[3:] = 5 + assert_equal(mbase.a, [1, 2, 3, 5, 5]) + assert_equal(mbase.a._mask, [0, 1, 0, 0, 0]) + mbase.b[3:] = masked + assert_equal(mbase.b, base['b']) + assert_equal(mbase.b._mask, [0, 1, 0, 1, 1]) + # Set fields globally.......................... + ndtype = [('alpha', '|S1'), ('num', int)] + data = ma.array([('a', 1), ('b', 2), ('c', 3)], dtype=ndtype) + rdata = data.view(MaskedRecords) + val = ma.array([10, 20, 30], mask=[1, 0, 0]) + + rdata['num'] = val + assert_equal(rdata.num, val) + assert_equal(rdata.num.mask, [1, 0, 0]) + + def test_set_fields_mask(self): + # Tests setting the mask of a field. + base = self.base.copy() + # This one has already a mask.... + mbase = base.view(mrecarray) + mbase['a'][-2] = masked + assert_equal(mbase.a, [1, 2, 3, 4, 5]) + assert_equal(mbase.a._mask, [0, 1, 0, 1, 1]) + # This one has not yet + mbase = fromarrays([np.arange(5), np.random.rand(5)], + dtype=[('a', int), ('b', float)]) + mbase['a'][-2] = masked + assert_equal(mbase.a, [0, 1, 2, 3, 4]) + assert_equal(mbase.a._mask, [0, 0, 0, 1, 0]) + + def test_set_mask(self): + base = self.base.copy() + mbase = base.view(mrecarray) + # Set the mask to True ....................... + mbase.mask = masked + assert_equal(ma.getmaskarray(mbase['b']), [1]*5) + assert_equal(mbase['a']._mask, mbase['b']._mask) + assert_equal(mbase['a']._mask, mbase['c']._mask) + assert_equal(mbase._mask.tolist(), + np.array([(1, 1, 1)]*5, dtype=bool)) + # Delete the mask ............................ + mbase.mask = nomask + assert_equal(ma.getmaskarray(mbase['c']), [0]*5) + assert_equal(mbase._mask.tolist(), + np.array([(0, 0, 0)]*5, dtype=bool)) + + def test_set_mask_fromarray(self): + base = self.base.copy() + mbase = base.view(mrecarray) + # Sets the mask w/ an array + mbase.mask = [1, 0, 0, 0, 1] + assert_equal(mbase.a.mask, [1, 0, 0, 0, 1]) + assert_equal(mbase.b.mask, [1, 0, 0, 0, 1]) + assert_equal(mbase.c.mask, [1, 0, 0, 0, 1]) + # Yay, once more ! + mbase.mask = [0, 0, 0, 0, 1] + assert_equal(mbase.a.mask, [0, 0, 0, 0, 1]) + assert_equal(mbase.b.mask, [0, 0, 0, 0, 1]) + assert_equal(mbase.c.mask, [0, 0, 0, 0, 1]) + + def test_set_mask_fromfields(self): + mbase = self.base.copy().view(mrecarray) + + nmask = np.array( + [(0, 1, 0), (0, 1, 0), (1, 0, 1), (1, 0, 1), (0, 0, 0)], + dtype=[('a', bool), ('b', bool), ('c', bool)]) + mbase.mask = nmask + assert_equal(mbase.a.mask, [0, 0, 1, 1, 0]) + assert_equal(mbase.b.mask, [1, 1, 0, 0, 0]) + assert_equal(mbase.c.mask, [0, 0, 1, 1, 0]) + # Reinitialize and redo + mbase.mask = False + mbase.fieldmask = nmask + assert_equal(mbase.a.mask, [0, 0, 1, 1, 0]) + assert_equal(mbase.b.mask, [1, 1, 0, 0, 0]) + assert_equal(mbase.c.mask, [0, 0, 1, 1, 0]) + + def test_set_elements(self): + base = self.base.copy() + # Set an element to mask ..................... + mbase = base.view(mrecarray).copy() + mbase[-2] = masked + assert_equal( + mbase._mask.tolist(), + np.array([(0, 0, 0), (1, 1, 1), (0, 0, 0), (1, 1, 1), (1, 1, 1)], + dtype=bool)) + # Used to be mask, now it's recordmask! + assert_equal(mbase.recordmask, [0, 1, 0, 1, 1]) + # Set slices ................................. + mbase = base.view(mrecarray).copy() + mbase[:2] = (5, 5, 5) + assert_equal(mbase.a._data, [5, 5, 3, 4, 5]) + assert_equal(mbase.a._mask, [0, 0, 0, 0, 1]) + assert_equal(mbase.b._data, [5., 5., 3.3, 4.4, 5.5]) + assert_equal(mbase.b._mask, [0, 0, 0, 0, 1]) + assert_equal(mbase.c._data, + [b'5', b'5', b'three', b'four', b'five']) + assert_equal(mbase.b._mask, [0, 0, 0, 0, 1]) + + mbase = base.view(mrecarray).copy() + mbase[:2] = masked + assert_equal(mbase.a._data, [1, 2, 3, 4, 5]) + assert_equal(mbase.a._mask, [1, 1, 0, 0, 1]) + assert_equal(mbase.b._data, [1.1, 2.2, 3.3, 4.4, 5.5]) + assert_equal(mbase.b._mask, [1, 1, 0, 0, 1]) + assert_equal(mbase.c._data, + [b'one', b'two', b'three', b'four', b'five']) + assert_equal(mbase.b._mask, [1, 1, 0, 0, 1]) + + def test_setslices_hardmask(self): + # Tests setting slices w/ hardmask. + base = self.base.copy() + mbase = base.view(mrecarray) + mbase.harden_mask() + try: + mbase[-2:] = (5, 5, 5) + assert_equal(mbase.a._data, [1, 2, 3, 5, 5]) + assert_equal(mbase.b._data, [1.1, 2.2, 3.3, 5, 5.5]) + assert_equal(mbase.c._data, + [b'one', b'two', b'three', b'5', b'five']) + assert_equal(mbase.a._mask, [0, 1, 0, 0, 1]) + assert_equal(mbase.b._mask, mbase.a._mask) + assert_equal(mbase.b._mask, mbase.c._mask) + except NotImplementedError: + # OK, not implemented yet... + pass + except AssertionError: + raise + else: + raise Exception("Flexible hard masks should be supported !") + # Not using a tuple should crash + try: + mbase[-2:] = 3 + except (NotImplementedError, TypeError): + pass + else: + raise TypeError("Should have expected a readable buffer object!") + + def test_hardmask(self): + # Test hardmask + base = self.base.copy() + mbase = base.view(mrecarray) + mbase.harden_mask() + assert_(mbase._hardmask) + mbase.mask = nomask + assert_equal_records(mbase._mask, base._mask) + mbase.soften_mask() + assert_(not mbase._hardmask) + mbase.mask = nomask + # So, the mask of a field is no longer set to nomask... + assert_equal_records(mbase._mask, + ma.make_mask_none(base.shape, base.dtype)) + assert_(ma.make_mask(mbase['b']._mask) is nomask) + assert_equal(mbase['a']._mask, mbase['b']._mask) + + def test_pickling(self): + # Test pickling + base = self.base.copy() + mrec = base.view(mrecarray) + for proto in range(2, pickle.HIGHEST_PROTOCOL + 1): + _ = pickle.dumps(mrec, protocol=proto) + mrec_ = pickle.loads(_) + assert_equal(mrec_.dtype, mrec.dtype) + assert_equal_records(mrec_._data, mrec._data) + assert_equal(mrec_._mask, mrec._mask) + assert_equal_records(mrec_._mask, mrec._mask) + + def test_filled(self): + # Test filling the array + _a = ma.array([1, 2, 3], mask=[0, 0, 1], dtype=int) + _b = ma.array([1.1, 2.2, 3.3], mask=[0, 0, 1], dtype=float) + _c = ma.array(['one', 'two', 'three'], mask=[0, 0, 1], dtype='|S8') + ddtype = [('a', int), ('b', float), ('c', '|S8')] + mrec = fromarrays([_a, _b, _c], dtype=ddtype, + fill_value=(99999, 99999., 'N/A')) + mrecfilled = mrec.filled() + assert_equal(mrecfilled['a'], np.array((1, 2, 99999), dtype=int)) + assert_equal(mrecfilled['b'], np.array((1.1, 2.2, 99999.), + dtype=float)) + assert_equal(mrecfilled['c'], np.array(('one', 'two', 'N/A'), + dtype='|S8')) + + def test_tolist(self): + # Test tolist. + _a = ma.array([1, 2, 3], mask=[0, 0, 1], dtype=int) + _b = ma.array([1.1, 2.2, 3.3], mask=[0, 0, 1], dtype=float) + _c = ma.array(['one', 'two', 'three'], mask=[1, 0, 0], dtype='|S8') + ddtype = [('a', int), ('b', float), ('c', '|S8')] + mrec = fromarrays([_a, _b, _c], dtype=ddtype, + fill_value=(99999, 99999., 'N/A')) + + assert_equal(mrec.tolist(), + [(1, 1.1, None), (2, 2.2, b'two'), + (None, None, b'three')]) + + def test_withnames(self): + # Test the creation w/ format and names + x = mrecarray(1, formats=float, names='base') + x[0]['base'] = 10 + assert_equal(x['base'][0], 10) + + def test_exotic_formats(self): + # Test that 'exotic' formats are processed properly + easy = mrecarray(1, dtype=[('i', int), ('s', '|S8'), ('f', float)]) + easy[0] = masked + assert_equal(easy.filled(1).item(), (1, b'1', 1.)) + + solo = mrecarray(1, dtype=[('f0', ' 1: + assert_(eq(np.concatenate((x, y), 1), + concatenate((xm, ym), 1))) + assert_(eq(np.add.reduce(x, 1), add.reduce(x, 1))) + assert_(eq(np.sum(x, 1), sum(x, 1))) + assert_(eq(np.prod(x, 1), product(x, 1))) + + def test_testCI(self): + # Test of conversions and indexing + x1 = np.array([1, 2, 4, 3]) + x2 = array(x1, mask=[1, 0, 0, 0]) + x3 = array(x1, mask=[0, 1, 0, 1]) + x4 = array(x1) + # test conversion to strings + str(x2) # raises? + repr(x2) # raises? + assert_(eq(np.sort(x1), sort(x2, fill_value=0))) + # tests of indexing + assert_(type(x2[1]) is type(x1[1])) + assert_(x1[1] == x2[1]) + assert_(x2[0] is masked) + assert_(eq(x1[2], x2[2])) + assert_(eq(x1[2:5], x2[2:5])) + assert_(eq(x1[:], x2[:])) + assert_(eq(x1[1:], x3[1:])) + x1[2] = 9 + x2[2] = 9 + assert_(eq(x1, x2)) + x1[1:3] = 99 + x2[1:3] = 99 + assert_(eq(x1, x2)) + x2[1] = masked + assert_(eq(x1, x2)) + x2[1:3] = masked + assert_(eq(x1, x2)) + x2[:] = x1 + x2[1] = masked + assert_(allequal(getmask(x2), array([0, 1, 0, 0]))) + x3[:] = masked_array([1, 2, 3, 4], [0, 1, 1, 0]) + assert_(allequal(getmask(x3), array([0, 1, 1, 0]))) + x4[:] = masked_array([1, 2, 3, 4], [0, 1, 1, 0]) + assert_(allequal(getmask(x4), array([0, 1, 1, 0]))) + assert_(allequal(x4, array([1, 2, 3, 4]))) + x1 = np.arange(5) * 1.0 + x2 = masked_values(x1, 3.0) + assert_(eq(x1, x2)) + assert_(allequal(array([0, 0, 0, 1, 0], MaskType), x2.mask)) + assert_(eq(3.0, x2.fill_value)) + x1 = array([1, 'hello', 2, 3], object) + x2 = np.array([1, 'hello', 2, 3], object) + s1 = x1[1] + s2 = x2[1] + assert_equal(type(s2), str) + assert_equal(type(s1), str) + assert_equal(s1, s2) + assert_(x1[1:1].shape == (0,)) + + def test_testCopySize(self): + # Tests of some subtle points of copying and sizing. + n = [0, 0, 1, 0, 0] + m = make_mask(n) + m2 = make_mask(m) + assert_(m is m2) + m3 = make_mask(m, copy=True) + assert_(m is not m3) + + x1 = np.arange(5) + y1 = array(x1, mask=m) + assert_(y1._data is not x1) + assert_(allequal(x1, y1._data)) + assert_(y1._mask is m) + + y1a = array(y1, copy=0) + # For copy=False, one might expect that the array would just + # passed on, i.e., that it would be "is" instead of "==". + # See gh-4043 for discussion. + assert_(y1a._mask.__array_interface__ == + y1._mask.__array_interface__) + + y2 = array(x1, mask=m3, copy=0) + assert_(y2._mask is m3) + assert_(y2[2] is masked) + y2[2] = 9 + assert_(y2[2] is not masked) + assert_(y2._mask is m3) + assert_(allequal(y2.mask, 0)) + + y2a = array(x1, mask=m, copy=1) + assert_(y2a._mask is not m) + assert_(y2a[2] is masked) + y2a[2] = 9 + assert_(y2a[2] is not masked) + assert_(y2a._mask is not m) + assert_(allequal(y2a.mask, 0)) + + y3 = array(x1 * 1.0, mask=m) + assert_(filled(y3).dtype is (x1 * 1.0).dtype) + + x4 = arange(4) + x4[2] = masked + y4 = resize(x4, (8,)) + assert_(eq(concatenate([x4, x4]), y4)) + assert_(eq(getmask(y4), [0, 0, 1, 0, 0, 0, 1, 0])) + y5 = repeat(x4, (2, 2, 2, 2), axis=0) + assert_(eq(y5, [0, 0, 1, 1, 2, 2, 3, 3])) + y6 = repeat(x4, 2, axis=0) + assert_(eq(y5, y6)) + + def test_testPut(self): + # Test of put + d = arange(5) + n = [0, 0, 0, 1, 1] + m = make_mask(n) + m2 = m.copy() + x = array(d, mask=m) + assert_(x[3] is masked) + assert_(x[4] is masked) + x[[1, 4]] = [10, 40] + assert_(x._mask is m) + assert_(x[3] is masked) + assert_(x[4] is not masked) + assert_(eq(x, [0, 10, 2, -1, 40])) + + x = array(d, mask=m2, copy=True) + x.put([0, 1, 2], [-1, 100, 200]) + assert_(x._mask is not m2) + assert_(x[3] is masked) + assert_(x[4] is masked) + assert_(eq(x, [-1, 100, 200, 0, 0])) + + def test_testPut2(self): + # Test of put + d = arange(5) + x = array(d, mask=[0, 0, 0, 0, 0]) + z = array([10, 40], mask=[1, 0]) + assert_(x[2] is not masked) + assert_(x[3] is not masked) + x[2:4] = z + assert_(x[2] is masked) + assert_(x[3] is not masked) + assert_(eq(x, [0, 1, 10, 40, 4])) + + d = arange(5) + x = array(d, mask=[0, 0, 0, 0, 0]) + y = x[2:4] + z = array([10, 40], mask=[1, 0]) + assert_(x[2] is not masked) + assert_(x[3] is not masked) + y[:] = z + assert_(y[0] is masked) + assert_(y[1] is not masked) + assert_(eq(y, [10, 40])) + assert_(x[2] is masked) + assert_(x[3] is not masked) + assert_(eq(x, [0, 1, 10, 40, 4])) + + def test_testMaPut(self): + (x, y, a10, m1, m2, xm, ym, z, zm, xf, s) = self.d + m = [1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1] + i = np.nonzero(m)[0] + put(ym, i, zm) + assert_(all(take(ym, i, axis=0) == zm)) + + def test_testOddFeatures(self): + # Test of other odd features + x = arange(20) + x = x.reshape(4, 5) + x.flat[5] = 12 + assert_(x[1, 0] == 12) + z = x + 10j * x + assert_(eq(z.real, x)) + assert_(eq(z.imag, 10 * x)) + assert_(eq((z * conjugate(z)).real, 101 * x * x)) + z.imag[...] = 0.0 + + x = arange(10) + x[3] = masked + assert_(str(x[3]) == str(masked)) + c = x >= 8 + assert_(count(where(c, masked, masked)) == 0) + assert_(shape(where(c, masked, masked)) == c.shape) + z = where(c, x, masked) + assert_(z.dtype is x.dtype) + assert_(z[3] is masked) + assert_(z[4] is masked) + assert_(z[7] is masked) + assert_(z[8] is not masked) + assert_(z[9] is not masked) + assert_(eq(x, z)) + z = where(c, masked, x) + assert_(z.dtype is x.dtype) + assert_(z[3] is masked) + assert_(z[4] is not masked) + assert_(z[7] is not masked) + assert_(z[8] is masked) + assert_(z[9] is masked) + z = masked_where(c, x) + assert_(z.dtype is x.dtype) + assert_(z[3] is masked) + assert_(z[4] is not masked) + assert_(z[7] is not masked) + assert_(z[8] is masked) + assert_(z[9] is masked) + assert_(eq(x, z)) + x = array([1., 2., 3., 4., 5.]) + c = array([1, 1, 1, 0, 0]) + x[2] = masked + z = where(c, x, -x) + assert_(eq(z, [1., 2., 0., -4., -5])) + c[0] = masked + z = where(c, x, -x) + assert_(eq(z, [1., 2., 0., -4., -5])) + assert_(z[0] is masked) + assert_(z[1] is not masked) + assert_(z[2] is masked) + assert_(eq(masked_where(greater(x, 2), x), masked_greater(x, 2))) + assert_(eq(masked_where(greater_equal(x, 2), x), + masked_greater_equal(x, 2))) + assert_(eq(masked_where(less(x, 2), x), masked_less(x, 2))) + assert_(eq(masked_where(less_equal(x, 2), x), masked_less_equal(x, 2))) + assert_(eq(masked_where(not_equal(x, 2), x), masked_not_equal(x, 2))) + assert_(eq(masked_where(equal(x, 2), x), masked_equal(x, 2))) + assert_(eq(masked_where(not_equal(x, 2), x), masked_not_equal(x, 2))) + assert_(eq(masked_inside(list(range(5)), 1, 3), [0, 199, 199, 199, 4])) + assert_(eq(masked_outside(list(range(5)), 1, 3), [199, 1, 2, 3, 199])) + assert_(eq(masked_inside(array(list(range(5)), + mask=[1, 0, 0, 0, 0]), 1, 3).mask, + [1, 1, 1, 1, 0])) + assert_(eq(masked_outside(array(list(range(5)), + mask=[0, 1, 0, 0, 0]), 1, 3).mask, + [1, 1, 0, 0, 1])) + assert_(eq(masked_equal(array(list(range(5)), + mask=[1, 0, 0, 0, 0]), 2).mask, + [1, 0, 1, 0, 0])) + assert_(eq(masked_not_equal(array([2, 2, 1, 2, 1], + mask=[1, 0, 0, 0, 0]), 2).mask, + [1, 0, 1, 0, 1])) + assert_(eq(masked_where([1, 1, 0, 0, 0], [1, 2, 3, 4, 5]), + [99, 99, 3, 4, 5])) + atest = ones((10, 10, 10), dtype=np.float32) + btest = zeros(atest.shape, MaskType) + ctest = masked_where(btest, atest) + assert_(eq(atest, ctest)) + z = choose(c, (-x, x)) + assert_(eq(z, [1., 2., 0., -4., -5])) + assert_(z[0] is masked) + assert_(z[1] is not masked) + assert_(z[2] is masked) + x = arange(6) + x[5] = masked + y = arange(6) * 10 + y[2] = masked + c = array([1, 1, 1, 0, 0, 0], mask=[1, 0, 0, 0, 0, 0]) + cm = c.filled(1) + z = where(c, x, y) + zm = where(cm, x, y) + assert_(eq(z, zm)) + assert_(getmask(zm) is nomask) + assert_(eq(zm, [0, 1, 2, 30, 40, 50])) + z = where(c, masked, 1) + assert_(eq(z, [99, 99, 99, 1, 1, 1])) + z = where(c, 1, masked) + assert_(eq(z, [99, 1, 1, 99, 99, 99])) + + def test_testMinMax2(self): + # Test of minimum, maximum. + assert_(eq(minimum([1, 2, 3], [4, 0, 9]), [1, 0, 3])) + assert_(eq(maximum([1, 2, 3], [4, 0, 9]), [4, 2, 9])) + x = arange(5) + y = arange(5) - 2 + x[3] = masked + y[0] = masked + assert_(eq(minimum(x, y), where(less(x, y), x, y))) + assert_(eq(maximum(x, y), where(greater(x, y), x, y))) + assert_(minimum.reduce(x) == 0) + assert_(maximum.reduce(x) == 4) + + def test_testTakeTransposeInnerOuter(self): + # Test of take, transpose, inner, outer products + x = arange(24) + y = np.arange(24) + x[5:6] = masked + x = x.reshape(2, 3, 4) + y = y.reshape(2, 3, 4) + assert_(eq(np.transpose(y, (2, 0, 1)), transpose(x, (2, 0, 1)))) + assert_(eq(np.take(y, (2, 0, 1), 1), take(x, (2, 0, 1), 1))) + assert_(eq(np.inner(filled(x, 0), filled(y, 0)), + inner(x, y))) + assert_(eq(np.outer(filled(x, 0), filled(y, 0)), + outer(x, y))) + y = array(['abc', 1, 'def', 2, 3], object) + y[2] = masked + t = take(y, [0, 3, 4]) + assert_(t[0] == 'abc') + assert_(t[1] == 2) + assert_(t[2] == 3) + + def test_testInplace(self): + # Test of inplace operations and rich comparisons + y = arange(10) + + x = arange(10) + xm = arange(10) + xm[2] = masked + x += 1 + assert_(eq(x, y + 1)) + xm += 1 + assert_(eq(x, y + 1)) + + x = arange(10) + xm = arange(10) + xm[2] = masked + x -= 1 + assert_(eq(x, y - 1)) + xm -= 1 + assert_(eq(xm, y - 1)) + + x = arange(10) * 1.0 + xm = arange(10) * 1.0 + xm[2] = masked + x *= 2.0 + assert_(eq(x, y * 2)) + xm *= 2.0 + assert_(eq(xm, y * 2)) + + x = arange(10) * 2 + xm = arange(10) + xm[2] = masked + x //= 2 + assert_(eq(x, y)) + xm //= 2 + assert_(eq(x, y)) + + x = arange(10) * 1.0 + xm = arange(10) * 1.0 + xm[2] = masked + x /= 2.0 + assert_(eq(x, y / 2.0)) + xm /= arange(10) + assert_(eq(xm, ones((10,)))) + + x = arange(10).astype(np.float32) + xm = arange(10) + xm[2] = masked + x += 1. + assert_(eq(x, y + 1.)) + + def test_testPickle(self): + # Test of pickling + x = arange(12) + x[4:10:2] = masked + x = x.reshape(4, 3) + for proto in range(2, pickle.HIGHEST_PROTOCOL + 1): + s = pickle.dumps(x, protocol=proto) + y = pickle.loads(s) + assert_(eq(x, y)) + + def test_testMasked(self): + # Test of masked element + xx = arange(6) + xx[1] = masked + assert_(str(masked) == '--') + assert_(xx[1] is masked) + assert_equal(filled(xx[1], 0), 0) + + def test_testAverage1(self): + # Test of average. + ott = array([0., 1., 2., 3.], mask=[1, 0, 0, 0]) + assert_(eq(2.0, average(ott, axis=0))) + assert_(eq(2.0, average(ott, weights=[1., 1., 2., 1.]))) + result, wts = average(ott, weights=[1., 1., 2., 1.], returned=True) + assert_(eq(2.0, result)) + assert_(wts == 4.0) + ott[:] = masked + assert_(average(ott, axis=0) is masked) + ott = array([0., 1., 2., 3.], mask=[1, 0, 0, 0]) + ott = ott.reshape(2, 2) + ott[:, 1] = masked + assert_(eq(average(ott, axis=0), [2.0, 0.0])) + assert_(average(ott, axis=1)[0] is masked) + assert_(eq([2., 0.], average(ott, axis=0))) + result, wts = average(ott, axis=0, returned=True) + assert_(eq(wts, [1., 0.])) + + def test_testAverage2(self): + # More tests of average. + w1 = [0, 1, 1, 1, 1, 0] + w2 = [[0, 1, 1, 1, 1, 0], [1, 0, 0, 0, 0, 1]] + x = arange(6) + assert_(allclose(average(x, axis=0), 2.5)) + assert_(allclose(average(x, axis=0, weights=w1), 2.5)) + y = array([arange(6), 2.0 * arange(6)]) + assert_(allclose(average(y, None), + np.add.reduce(np.arange(6)) * 3. / 12.)) + assert_(allclose(average(y, axis=0), np.arange(6) * 3. / 2.)) + assert_(allclose(average(y, axis=1), + [average(x, axis=0), average(x, axis=0)*2.0])) + assert_(allclose(average(y, None, weights=w2), 20. / 6.)) + assert_(allclose(average(y, axis=0, weights=w2), + [0., 1., 2., 3., 4., 10.])) + assert_(allclose(average(y, axis=1), + [average(x, axis=0), average(x, axis=0)*2.0])) + m1 = zeros(6) + m2 = [0, 0, 1, 1, 0, 0] + m3 = [[0, 0, 1, 1, 0, 0], [0, 1, 1, 1, 1, 0]] + m4 = ones(6) + m5 = [0, 1, 1, 1, 1, 1] + assert_(allclose(average(masked_array(x, m1), axis=0), 2.5)) + assert_(allclose(average(masked_array(x, m2), axis=0), 2.5)) + assert_(average(masked_array(x, m4), axis=0) is masked) + assert_equal(average(masked_array(x, m5), axis=0), 0.0) + assert_equal(count(average(masked_array(x, m4), axis=0)), 0) + z = masked_array(y, m3) + assert_(allclose(average(z, None), 20. / 6.)) + assert_(allclose(average(z, axis=0), + [0., 1., 99., 99., 4.0, 7.5])) + assert_(allclose(average(z, axis=1), [2.5, 5.0])) + assert_(allclose(average(z, axis=0, weights=w2), + [0., 1., 99., 99., 4.0, 10.0])) + + a = arange(6) + b = arange(6) * 3 + r1, w1 = average([[a, b], [b, a]], axis=1, returned=True) + assert_equal(shape(r1), shape(w1)) + assert_equal(r1.shape, w1.shape) + r2, w2 = average(ones((2, 2, 3)), axis=0, weights=[3, 1], returned=True) + assert_equal(shape(w2), shape(r2)) + r2, w2 = average(ones((2, 2, 3)), returned=True) + assert_equal(shape(w2), shape(r2)) + r2, w2 = average(ones((2, 2, 3)), weights=ones((2, 2, 3)), returned=True) + assert_(shape(w2) == shape(r2)) + a2d = array([[1, 2], [0, 4]], float) + a2dm = masked_array(a2d, [[0, 0], [1, 0]]) + a2da = average(a2d, axis=0) + assert_(eq(a2da, [0.5, 3.0])) + a2dma = average(a2dm, axis=0) + assert_(eq(a2dma, [1.0, 3.0])) + a2dma = average(a2dm, axis=None) + assert_(eq(a2dma, 7. / 3.)) + a2dma = average(a2dm, axis=1) + assert_(eq(a2dma, [1.5, 4.0])) + + def test_testToPython(self): + assert_equal(1, int(array(1))) + assert_equal(1.0, float(array(1))) + assert_equal(1, int(array([[[1]]]))) + assert_equal(1.0, float(array([[1]]))) + assert_raises(TypeError, float, array([1, 1])) + assert_raises(ValueError, bool, array([0, 1])) + assert_raises(ValueError, bool, array([0, 0], mask=[0, 1])) + + def test_testScalarArithmetic(self): + xm = array(0, mask=1) + #TODO FIXME: Find out what the following raises a warning in r8247 + with np.errstate(divide='ignore'): + assert_((1 / array(0)).mask) + assert_((1 + xm).mask) + assert_((-xm).mask) + assert_((-xm).mask) + assert_(maximum(xm, xm).mask) + assert_(minimum(xm, xm).mask) + assert_(xm.filled().dtype is xm._data.dtype) + x = array(0, mask=0) + assert_(x.filled() == x._data) + assert_equal(str(xm), str(masked_print_option)) + + def test_testArrayMethods(self): + a = array([1, 3, 2]) + assert_(eq(a.any(), a._data.any())) + assert_(eq(a.all(), a._data.all())) + assert_(eq(a.argmax(), a._data.argmax())) + assert_(eq(a.argmin(), a._data.argmin())) + assert_(eq(a.choose(0, 1, 2, 3, 4), + a._data.choose(0, 1, 2, 3, 4))) + assert_(eq(a.compress([1, 0, 1]), a._data.compress([1, 0, 1]))) + assert_(eq(a.conj(), a._data.conj())) + assert_(eq(a.conjugate(), a._data.conjugate())) + m = array([[1, 2], [3, 4]]) + assert_(eq(m.diagonal(), m._data.diagonal())) + assert_(eq(a.sum(), a._data.sum())) + assert_(eq(a.take([1, 2]), a._data.take([1, 2]))) + assert_(eq(m.transpose(), m._data.transpose())) + + def test_testArrayAttributes(self): + a = array([1, 3, 2]) + assert_equal(a.ndim, 1) + + def test_testAPI(self): + assert_(not [m for m in dir(np.ndarray) + if m not in dir(MaskedArray) and + not m.startswith('_')]) + + def test_testSingleElementSubscript(self): + a = array([1, 3, 2]) + b = array([1, 3, 2], mask=[1, 0, 1]) + assert_equal(a[0].shape, ()) + assert_equal(b[0].shape, ()) + assert_equal(b[1].shape, ()) + + def test_assignment_by_condition(self): + # Test for gh-18951 + a = array([1, 2, 3, 4], mask=[1, 0, 1, 0]) + c = a >= 3 + a[c] = 5 + assert_(a[2] is masked) + + def test_assignment_by_condition_2(self): + # gh-19721 + a = masked_array([0, 1], mask=[False, False]) + b = masked_array([0, 1], mask=[True, True]) + mask = a < 1 + b[mask] = a[mask] + expected_mask = [False, True] + assert_equal(b.mask, expected_mask) + + +class TestUfuncs: + def setup_method(self): + self.d = (array([1.0, 0, -1, pi / 2] * 2, mask=[0, 1] + [0] * 6), + array([1.0, 0, -1, pi / 2] * 2, mask=[1, 0] + [0] * 6),) + + def test_testUfuncRegression(self): + f_invalid_ignore = [ + 'sqrt', 'arctanh', 'arcsin', 'arccos', + 'arccosh', 'arctanh', 'log', 'log10', 'divide', + 'true_divide', 'floor_divide', 'remainder', 'fmod'] + for f in ['sqrt', 'log', 'log10', 'exp', 'conjugate', + 'sin', 'cos', 'tan', + 'arcsin', 'arccos', 'arctan', + 'sinh', 'cosh', 'tanh', + 'arcsinh', + 'arccosh', + 'arctanh', + 'absolute', 'fabs', 'negative', + 'floor', 'ceil', + 'logical_not', + 'add', 'subtract', 'multiply', + 'divide', 'true_divide', 'floor_divide', + 'remainder', 'fmod', 'hypot', 'arctan2', + 'equal', 'not_equal', 'less_equal', 'greater_equal', + 'less', 'greater', + 'logical_and', 'logical_or', 'logical_xor']: + try: + uf = getattr(umath, f) + except AttributeError: + uf = getattr(fromnumeric, f) + mf = getattr(np.ma, f) + args = self.d[:uf.nin] + with np.errstate(): + if f in f_invalid_ignore: + np.seterr(invalid='ignore') + if f in ['arctanh', 'log', 'log10']: + np.seterr(divide='ignore') + ur = uf(*args) + mr = mf(*args) + assert_(eq(ur.filled(0), mr.filled(0), f)) + assert_(eqmask(ur.mask, mr.mask)) + + def test_reduce(self): + a = self.d[0] + assert_(not alltrue(a, axis=0)) + assert_(sometrue(a, axis=0)) + assert_equal(sum(a[:3], axis=0), 0) + assert_equal(product(a, axis=0), 0) + + def test_minmax(self): + a = arange(1, 13).reshape(3, 4) + amask = masked_where(a < 5, a) + assert_equal(amask.max(), a.max()) + assert_equal(amask.min(), 5) + assert_((amask.max(0) == a.max(0)).all()) + assert_((amask.min(0) == [5, 6, 7, 8]).all()) + assert_(amask.max(1)[0].mask) + assert_(amask.min(1)[0].mask) + + def test_nonzero(self): + for t in "?bhilqpBHILQPfdgFDGO": + x = array([1, 0, 2, 0], mask=[0, 0, 1, 1]) + assert_(eq(nonzero(x), [0])) + + +class TestArrayMethods: + + def setup_method(self): + x = np.array([8.375, 7.545, 8.828, 8.5, 1.757, 5.928, + 8.43, 7.78, 9.865, 5.878, 8.979, 4.732, + 3.012, 6.022, 5.095, 3.116, 5.238, 3.957, + 6.04, 9.63, 7.712, 3.382, 4.489, 6.479, + 7.189, 9.645, 5.395, 4.961, 9.894, 2.893, + 7.357, 9.828, 6.272, 3.758, 6.693, 0.993]) + X = x.reshape(6, 6) + XX = x.reshape(3, 2, 2, 3) + + m = np.array([0, 1, 0, 1, 0, 0, + 1, 0, 1, 1, 0, 1, + 0, 0, 0, 1, 0, 1, + 0, 0, 0, 1, 1, 1, + 1, 0, 0, 1, 0, 0, + 0, 0, 1, 0, 1, 0]) + mx = array(data=x, mask=m) + mX = array(data=X, mask=m.reshape(X.shape)) + mXX = array(data=XX, mask=m.reshape(XX.shape)) + + self.d = (x, X, XX, m, mx, mX, mXX) + + def test_trace(self): + (x, X, XX, m, mx, mX, mXX,) = self.d + mXdiag = mX.diagonal() + assert_equal(mX.trace(), mX.diagonal().compressed().sum()) + assert_(eq(mX.trace(), + X.trace() - sum(mXdiag.mask * X.diagonal(), + axis=0))) + + def test_clip(self): + (x, X, XX, m, mx, mX, mXX,) = self.d + clipped = mx.clip(2, 8) + assert_(eq(clipped.mask, mx.mask)) + assert_(eq(clipped._data, x.clip(2, 8))) + assert_(eq(clipped._data, mx._data.clip(2, 8))) + + def test_ptp(self): + (x, X, XX, m, mx, mX, mXX,) = self.d + (n, m) = X.shape + assert_equal(mx.ptp(), mx.compressed().ptp()) + rows = np.zeros(n, np.float_) + cols = np.zeros(m, np.float_) + for k in range(m): + cols[k] = mX[:, k].compressed().ptp() + for k in range(n): + rows[k] = mX[k].compressed().ptp() + assert_(eq(mX.ptp(0), cols)) + assert_(eq(mX.ptp(1), rows)) + + def test_swapaxes(self): + (x, X, XX, m, mx, mX, mXX,) = self.d + mXswapped = mX.swapaxes(0, 1) + assert_(eq(mXswapped[-1], mX[:, -1])) + mXXswapped = mXX.swapaxes(0, 2) + assert_equal(mXXswapped.shape, (2, 2, 3, 3)) + + def test_cumprod(self): + (x, X, XX, m, mx, mX, mXX,) = self.d + mXcp = mX.cumprod(0) + assert_(eq(mXcp._data, mX.filled(1).cumprod(0))) + mXcp = mX.cumprod(1) + assert_(eq(mXcp._data, mX.filled(1).cumprod(1))) + + def test_cumsum(self): + (x, X, XX, m, mx, mX, mXX,) = self.d + mXcp = mX.cumsum(0) + assert_(eq(mXcp._data, mX.filled(0).cumsum(0))) + mXcp = mX.cumsum(1) + assert_(eq(mXcp._data, mX.filled(0).cumsum(1))) + + def test_varstd(self): + (x, X, XX, m, mx, mX, mXX,) = self.d + assert_(eq(mX.var(axis=None), mX.compressed().var())) + assert_(eq(mX.std(axis=None), mX.compressed().std())) + assert_(eq(mXX.var(axis=3).shape, XX.var(axis=3).shape)) + assert_(eq(mX.var().shape, X.var().shape)) + (mXvar0, mXvar1) = (mX.var(axis=0), mX.var(axis=1)) + for k in range(6): + assert_(eq(mXvar1[k], mX[k].compressed().var())) + assert_(eq(mXvar0[k], mX[:, k].compressed().var())) + assert_(eq(np.sqrt(mXvar0[k]), + mX[:, k].compressed().std())) + + +def eqmask(m1, m2): + if m1 is nomask: + return m2 is nomask + if m2 is nomask: + return m1 is nomask + return (m1 == m2).all() diff --git a/lib/python3.12/site-packages/numpy/ma/tests/test_regression.py b/lib/python3.12/site-packages/numpy/ma/tests/test_regression.py new file mode 100644 index 0000000000000000000000000000000000000000..f4f32cc7a98b4567076c9ccb340f6063321ba607 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/ma/tests/test_regression.py @@ -0,0 +1,97 @@ +import numpy as np +from numpy.testing import ( + assert_, assert_array_equal, assert_allclose, suppress_warnings + ) + + +class TestRegression: + def test_masked_array_create(self): + # Ticket #17 + x = np.ma.masked_array([0, 1, 2, 3, 0, 4, 5, 6], + mask=[0, 0, 0, 1, 1, 1, 0, 0]) + assert_array_equal(np.ma.nonzero(x), [[1, 2, 6, 7]]) + + def test_masked_array(self): + # Ticket #61 + np.ma.array(1, mask=[1]) + + def test_mem_masked_where(self): + # Ticket #62 + from numpy.ma import masked_where, MaskType + a = np.zeros((1, 1)) + b = np.zeros(a.shape, MaskType) + c = masked_where(b, a) + a-c + + def test_masked_array_multiply(self): + # Ticket #254 + a = np.ma.zeros((4, 1)) + a[2, 0] = np.ma.masked + b = np.zeros((4, 2)) + a*b + b*a + + def test_masked_array_repeat(self): + # Ticket #271 + np.ma.array([1], mask=False).repeat(10) + + def test_masked_array_repr_unicode(self): + # Ticket #1256 + repr(np.ma.array("Unicode")) + + def test_atleast_2d(self): + # Ticket #1559 + a = np.ma.masked_array([0.0, 1.2, 3.5], mask=[False, True, False]) + b = np.atleast_2d(a) + assert_(a.mask.ndim == 1) + assert_(b.mask.ndim == 2) + + def test_set_fill_value_unicode_py3(self): + # Ticket #2733 + a = np.ma.masked_array(['a', 'b', 'c'], mask=[1, 0, 0]) + a.fill_value = 'X' + assert_(a.fill_value == 'X') + + def test_var_sets_maskedarray_scalar(self): + # Issue gh-2757 + a = np.ma.array(np.arange(5), mask=True) + mout = np.ma.array(-1, dtype=float) + a.var(out=mout) + assert_(mout._data == 0) + + def test_ddof_corrcoef(self): + # See gh-3336 + x = np.ma.masked_equal([1, 2, 3, 4, 5], 4) + y = np.array([2, 2.5, 3.1, 3, 5]) + # this test can be removed after deprecation. + with suppress_warnings() as sup: + sup.filter(DeprecationWarning, "bias and ddof have no effect") + r0 = np.ma.corrcoef(x, y, ddof=0) + r1 = np.ma.corrcoef(x, y, ddof=1) + # ddof should not have an effect (it gets cancelled out) + assert_allclose(r0.data, r1.data) + + def test_mask_not_backmangled(self): + # See gh-10314. Test case taken from gh-3140. + a = np.ma.MaskedArray([1., 2.], mask=[False, False]) + assert_(a.mask.shape == (2,)) + b = np.tile(a, (2, 1)) + # Check that the above no longer changes a.shape to (1, 2) + assert_(a.mask.shape == (2,)) + assert_(b.shape == (2, 2)) + assert_(b.mask.shape == (2, 2)) + + def test_empty_list_on_structured(self): + # See gh-12464. Indexing with empty list should give empty result. + ma = np.ma.MaskedArray([(1, 1.), (2, 2.), (3, 3.)], dtype='i4,f4') + assert_array_equal(ma[[]], ma[:0]) + + def test_masked_array_tobytes_fortran(self): + ma = np.ma.arange(4).reshape((2,2)) + assert_array_equal(ma.tobytes(order='F'), ma.T.tobytes()) + + def test_structured_array(self): + # see gh-22041 + np.ma.array((1, (b"", b"")), + dtype=[("x", np.int_), + ("y", [("i", np.void), ("j", np.void)])]) diff --git a/lib/python3.12/site-packages/numpy/ma/tests/test_subclassing.py b/lib/python3.12/site-packages/numpy/ma/tests/test_subclassing.py new file mode 100644 index 0000000000000000000000000000000000000000..e3c88525371edbf742d4e2e9c7401b60b29cd740 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/ma/tests/test_subclassing.py @@ -0,0 +1,460 @@ +# pylint: disable-msg=W0611, W0612, W0511,R0201 +"""Tests suite for MaskedArray & subclassing. + +:author: Pierre Gerard-Marchant +:contact: pierregm_at_uga_dot_edu +:version: $Id: test_subclassing.py 3473 2007-10-29 15:18:13Z jarrod.millman $ + +""" +import numpy as np +from numpy.lib.mixins import NDArrayOperatorsMixin +from numpy.testing import assert_, assert_raises +from numpy.ma.testutils import assert_equal +from numpy.ma.core import ( + array, arange, masked, MaskedArray, masked_array, log, add, hypot, + divide, asarray, asanyarray, nomask + ) +# from numpy.ma.core import ( + +def assert_startswith(a, b): + # produces a better error message than assert_(a.startswith(b)) + assert_equal(a[:len(b)], b) + +class SubArray(np.ndarray): + # Defines a generic np.ndarray subclass, that stores some metadata + # in the dictionary `info`. + def __new__(cls,arr,info={}): + x = np.asanyarray(arr).view(cls) + x.info = info.copy() + return x + + def __array_finalize__(self, obj): + super().__array_finalize__(obj) + self.info = getattr(obj, 'info', {}).copy() + return + + def __add__(self, other): + result = super().__add__(other) + result.info['added'] = result.info.get('added', 0) + 1 + return result + + def __iadd__(self, other): + result = super().__iadd__(other) + result.info['iadded'] = result.info.get('iadded', 0) + 1 + return result + + +subarray = SubArray + + +class SubMaskedArray(MaskedArray): + """Pure subclass of MaskedArray, keeping some info on subclass.""" + def __new__(cls, info=None, **kwargs): + obj = super().__new__(cls, **kwargs) + obj._optinfo['info'] = info + return obj + + +class MSubArray(SubArray, MaskedArray): + + def __new__(cls, data, info={}, mask=nomask): + subarr = SubArray(data, info) + _data = MaskedArray.__new__(cls, data=subarr, mask=mask) + _data.info = subarr.info + return _data + + @property + def _series(self): + _view = self.view(MaskedArray) + _view._sharedmask = False + return _view + +msubarray = MSubArray + + +# Also a subclass that overrides __str__, __repr__ and __setitem__, disallowing +# setting to non-class values (and thus np.ma.core.masked_print_option) +# and overrides __array_wrap__, updating the info dict, to check that this +# doesn't get destroyed by MaskedArray._update_from. But this one also needs +# its own iterator... +class CSAIterator: + """ + Flat iterator object that uses its own setter/getter + (works around ndarray.flat not propagating subclass setters/getters + see https://github.com/numpy/numpy/issues/4564) + roughly following MaskedIterator + """ + def __init__(self, a): + self._original = a + self._dataiter = a.view(np.ndarray).flat + + def __iter__(self): + return self + + def __getitem__(self, indx): + out = self._dataiter.__getitem__(indx) + if not isinstance(out, np.ndarray): + out = out.__array__() + out = out.view(type(self._original)) + return out + + def __setitem__(self, index, value): + self._dataiter[index] = self._original._validate_input(value) + + def __next__(self): + return next(self._dataiter).__array__().view(type(self._original)) + + +class ComplicatedSubArray(SubArray): + + def __str__(self): + return f'myprefix {self.view(SubArray)} mypostfix' + + def __repr__(self): + # Return a repr that does not start with 'name(' + return f'<{self.__class__.__name__} {self}>' + + def _validate_input(self, value): + if not isinstance(value, ComplicatedSubArray): + raise ValueError("Can only set to MySubArray values") + return value + + def __setitem__(self, item, value): + # validation ensures direct assignment with ndarray or + # masked_print_option will fail + super().__setitem__(item, self._validate_input(value)) + + def __getitem__(self, item): + # ensure getter returns our own class also for scalars + value = super().__getitem__(item) + if not isinstance(value, np.ndarray): # scalar + value = value.__array__().view(ComplicatedSubArray) + return value + + @property + def flat(self): + return CSAIterator(self) + + @flat.setter + def flat(self, value): + y = self.ravel() + y[:] = value + + def __array_wrap__(self, obj, context=None): + obj = super().__array_wrap__(obj, context) + if context is not None and context[0] is np.multiply: + obj.info['multiplied'] = obj.info.get('multiplied', 0) + 1 + + return obj + + +class WrappedArray(NDArrayOperatorsMixin): + """ + Wrapping a MaskedArray rather than subclassing to test that + ufunc deferrals are commutative. + See: https://github.com/numpy/numpy/issues/15200) + """ + __slots__ = ('_array', 'attrs') + __array_priority__ = 20 + + def __init__(self, array, **attrs): + self._array = array + self.attrs = attrs + + def __repr__(self): + return f"{self.__class__.__name__}(\n{self._array}\n{self.attrs}\n)" + + def __array__(self): + return np.asarray(self._array) + + def __array_ufunc__(self, ufunc, method, *inputs, **kwargs): + if method == '__call__': + inputs = [arg._array if isinstance(arg, self.__class__) else arg + for arg in inputs] + return self.__class__(ufunc(*inputs, **kwargs), **self.attrs) + else: + return NotImplemented + + +class TestSubclassing: + # Test suite for masked subclasses of ndarray. + + def setup_method(self): + x = np.arange(5, dtype='float') + mx = msubarray(x, mask=[0, 1, 0, 0, 0]) + self.data = (x, mx) + + def test_data_subclassing(self): + # Tests whether the subclass is kept. + x = np.arange(5) + m = [0, 0, 1, 0, 0] + xsub = SubArray(x) + xmsub = masked_array(xsub, mask=m) + assert_(isinstance(xmsub, MaskedArray)) + assert_equal(xmsub._data, xsub) + assert_(isinstance(xmsub._data, SubArray)) + + def test_maskedarray_subclassing(self): + # Tests subclassing MaskedArray + (x, mx) = self.data + assert_(isinstance(mx._data, subarray)) + + def test_masked_unary_operations(self): + # Tests masked_unary_operation + (x, mx) = self.data + with np.errstate(divide='ignore'): + assert_(isinstance(log(mx), msubarray)) + assert_equal(log(x), np.log(x)) + + def test_masked_binary_operations(self): + # Tests masked_binary_operation + (x, mx) = self.data + # Result should be a msubarray + assert_(isinstance(add(mx, mx), msubarray)) + assert_(isinstance(add(mx, x), msubarray)) + # Result should work + assert_equal(add(mx, x), mx+x) + assert_(isinstance(add(mx, mx)._data, subarray)) + assert_(isinstance(add.outer(mx, mx), msubarray)) + assert_(isinstance(hypot(mx, mx), msubarray)) + assert_(isinstance(hypot(mx, x), msubarray)) + + def test_masked_binary_operations2(self): + # Tests domained_masked_binary_operation + (x, mx) = self.data + xmx = masked_array(mx.data.__array__(), mask=mx.mask) + assert_(isinstance(divide(mx, mx), msubarray)) + assert_(isinstance(divide(mx, x), msubarray)) + assert_equal(divide(mx, mx), divide(xmx, xmx)) + + def test_attributepropagation(self): + x = array(arange(5), mask=[0]+[1]*4) + my = masked_array(subarray(x)) + ym = msubarray(x) + # + z = (my+1) + assert_(isinstance(z, MaskedArray)) + assert_(not isinstance(z, MSubArray)) + assert_(isinstance(z._data, SubArray)) + assert_equal(z._data.info, {}) + # + z = (ym+1) + assert_(isinstance(z, MaskedArray)) + assert_(isinstance(z, MSubArray)) + assert_(isinstance(z._data, SubArray)) + assert_(z._data.info['added'] > 0) + # Test that inplace methods from data get used (gh-4617) + ym += 1 + assert_(isinstance(ym, MaskedArray)) + assert_(isinstance(ym, MSubArray)) + assert_(isinstance(ym._data, SubArray)) + assert_(ym._data.info['iadded'] > 0) + # + ym._set_mask([1, 0, 0, 0, 1]) + assert_equal(ym._mask, [1, 0, 0, 0, 1]) + ym._series._set_mask([0, 0, 0, 0, 1]) + assert_equal(ym._mask, [0, 0, 0, 0, 1]) + # + xsub = subarray(x, info={'name':'x'}) + mxsub = masked_array(xsub) + assert_(hasattr(mxsub, 'info')) + assert_equal(mxsub.info, xsub.info) + + def test_subclasspreservation(self): + # Checks that masked_array(...,subok=True) preserves the class. + x = np.arange(5) + m = [0, 0, 1, 0, 0] + xinfo = [(i, j) for (i, j) in zip(x, m)] + xsub = MSubArray(x, mask=m, info={'xsub':xinfo}) + # + mxsub = masked_array(xsub, subok=False) + assert_(not isinstance(mxsub, MSubArray)) + assert_(isinstance(mxsub, MaskedArray)) + assert_equal(mxsub._mask, m) + # + mxsub = asarray(xsub) + assert_(not isinstance(mxsub, MSubArray)) + assert_(isinstance(mxsub, MaskedArray)) + assert_equal(mxsub._mask, m) + # + mxsub = masked_array(xsub, subok=True) + assert_(isinstance(mxsub, MSubArray)) + assert_equal(mxsub.info, xsub.info) + assert_equal(mxsub._mask, xsub._mask) + # + mxsub = asanyarray(xsub) + assert_(isinstance(mxsub, MSubArray)) + assert_equal(mxsub.info, xsub.info) + assert_equal(mxsub._mask, m) + + def test_subclass_items(self): + """test that getter and setter go via baseclass""" + x = np.arange(5) + xcsub = ComplicatedSubArray(x) + mxcsub = masked_array(xcsub, mask=[True, False, True, False, False]) + # getter should return a ComplicatedSubArray, even for single item + # first check we wrote ComplicatedSubArray correctly + assert_(isinstance(xcsub[1], ComplicatedSubArray)) + assert_(isinstance(xcsub[1,...], ComplicatedSubArray)) + assert_(isinstance(xcsub[1:4], ComplicatedSubArray)) + + # now that it propagates inside the MaskedArray + assert_(isinstance(mxcsub[1], ComplicatedSubArray)) + assert_(isinstance(mxcsub[1,...].data, ComplicatedSubArray)) + assert_(mxcsub[0] is masked) + assert_(isinstance(mxcsub[0,...].data, ComplicatedSubArray)) + assert_(isinstance(mxcsub[1:4].data, ComplicatedSubArray)) + + # also for flattened version (which goes via MaskedIterator) + assert_(isinstance(mxcsub.flat[1].data, ComplicatedSubArray)) + assert_(mxcsub.flat[0] is masked) + assert_(isinstance(mxcsub.flat[1:4].base, ComplicatedSubArray)) + + # setter should only work with ComplicatedSubArray input + # first check we wrote ComplicatedSubArray correctly + assert_raises(ValueError, xcsub.__setitem__, 1, x[4]) + # now that it propagates inside the MaskedArray + assert_raises(ValueError, mxcsub.__setitem__, 1, x[4]) + assert_raises(ValueError, mxcsub.__setitem__, slice(1, 4), x[1:4]) + mxcsub[1] = xcsub[4] + mxcsub[1:4] = xcsub[1:4] + # also for flattened version (which goes via MaskedIterator) + assert_raises(ValueError, mxcsub.flat.__setitem__, 1, x[4]) + assert_raises(ValueError, mxcsub.flat.__setitem__, slice(1, 4), x[1:4]) + mxcsub.flat[1] = xcsub[4] + mxcsub.flat[1:4] = xcsub[1:4] + + def test_subclass_nomask_items(self): + x = np.arange(5) + xcsub = ComplicatedSubArray(x) + mxcsub_nomask = masked_array(xcsub) + + assert_(isinstance(mxcsub_nomask[1,...].data, ComplicatedSubArray)) + assert_(isinstance(mxcsub_nomask[0,...].data, ComplicatedSubArray)) + + assert_(isinstance(mxcsub_nomask[1], ComplicatedSubArray)) + assert_(isinstance(mxcsub_nomask[0], ComplicatedSubArray)) + + def test_subclass_repr(self): + """test that repr uses the name of the subclass + and 'array' for np.ndarray""" + x = np.arange(5) + mx = masked_array(x, mask=[True, False, True, False, False]) + assert_startswith(repr(mx), 'masked_array') + xsub = SubArray(x) + mxsub = masked_array(xsub, mask=[True, False, True, False, False]) + assert_startswith(repr(mxsub), + f'masked_{SubArray.__name__}(data=[--, 1, --, 3, 4]') + + def test_subclass_str(self): + """test str with subclass that has overridden str, setitem""" + # first without override + x = np.arange(5) + xsub = SubArray(x) + mxsub = masked_array(xsub, mask=[True, False, True, False, False]) + assert_equal(str(mxsub), '[-- 1 -- 3 4]') + + xcsub = ComplicatedSubArray(x) + assert_raises(ValueError, xcsub.__setitem__, 0, + np.ma.core.masked_print_option) + mxcsub = masked_array(xcsub, mask=[True, False, True, False, False]) + assert_equal(str(mxcsub), 'myprefix [-- 1 -- 3 4] mypostfix') + + def test_pure_subclass_info_preservation(self): + # Test that ufuncs and methods conserve extra information consistently; + # see gh-7122. + arr1 = SubMaskedArray('test', data=[1,2,3,4,5,6]) + arr2 = SubMaskedArray(data=[0,1,2,3,4,5]) + diff1 = np.subtract(arr1, arr2) + assert_('info' in diff1._optinfo) + assert_(diff1._optinfo['info'] == 'test') + diff2 = arr1 - arr2 + assert_('info' in diff2._optinfo) + assert_(diff2._optinfo['info'] == 'test') + + +class ArrayNoInheritance: + """Quantity-like class that does not inherit from ndarray""" + def __init__(self, data, units): + self.magnitude = data + self.units = units + + def __getattr__(self, attr): + return getattr(self.magnitude, attr) + + +def test_array_no_inheritance(): + data_masked = np.ma.array([1, 2, 3], mask=[True, False, True]) + data_masked_units = ArrayNoInheritance(data_masked, 'meters') + + # Get the masked representation of the Quantity-like class + new_array = np.ma.array(data_masked_units) + assert_equal(data_masked.data, new_array.data) + assert_equal(data_masked.mask, new_array.mask) + # Test sharing the mask + data_masked.mask = [True, False, False] + assert_equal(data_masked.mask, new_array.mask) + assert_(new_array.sharedmask) + + # Get the masked representation of the Quantity-like class + new_array = np.ma.array(data_masked_units, copy=True) + assert_equal(data_masked.data, new_array.data) + assert_equal(data_masked.mask, new_array.mask) + # Test that the mask is not shared when copy=True + data_masked.mask = [True, False, True] + assert_equal([True, False, False], new_array.mask) + assert_(not new_array.sharedmask) + + # Get the masked representation of the Quantity-like class + new_array = np.ma.array(data_masked_units, keep_mask=False) + assert_equal(data_masked.data, new_array.data) + # The change did not affect the original mask + assert_equal(data_masked.mask, [True, False, True]) + # Test that the mask is False and not shared when keep_mask=False + assert_(not new_array.mask) + assert_(not new_array.sharedmask) + + +class TestClassWrapping: + # Test suite for classes that wrap MaskedArrays + + def setup_method(self): + m = np.ma.masked_array([1, 3, 5], mask=[False, True, False]) + wm = WrappedArray(m) + self.data = (m, wm) + + def test_masked_unary_operations(self): + # Tests masked_unary_operation + (m, wm) = self.data + with np.errstate(divide='ignore'): + assert_(isinstance(np.log(wm), WrappedArray)) + + def test_masked_binary_operations(self): + # Tests masked_binary_operation + (m, wm) = self.data + # Result should be a WrappedArray + assert_(isinstance(np.add(wm, wm), WrappedArray)) + assert_(isinstance(np.add(m, wm), WrappedArray)) + assert_(isinstance(np.add(wm, m), WrappedArray)) + # add and '+' should call the same ufunc + assert_equal(np.add(m, wm), m + wm) + assert_(isinstance(np.hypot(m, wm), WrappedArray)) + assert_(isinstance(np.hypot(wm, m), WrappedArray)) + # Test domained binary operations + assert_(isinstance(np.divide(wm, m), WrappedArray)) + assert_(isinstance(np.divide(m, wm), WrappedArray)) + assert_equal(np.divide(wm, m) * m, np.divide(m, m) * wm) + # Test broadcasting + m2 = np.stack([m, m]) + assert_(isinstance(np.divide(wm, m2), WrappedArray)) + assert_(isinstance(np.divide(m2, wm), WrappedArray)) + assert_equal(np.divide(m2, wm), np.divide(wm, m2)) + + def test_mixins_have_slots(self): + mixin = NDArrayOperatorsMixin() + # Should raise an error + assert_raises(AttributeError, mixin.__setattr__, "not_a_real_attr", 1) + + m = np.ma.masked_array([1, 3, 5], mask=[False, True, False]) + wm = WrappedArray(m) + assert_raises(AttributeError, wm.__setattr__, "not_an_attr", 2) diff --git a/lib/python3.12/site-packages/numpy/ma/testutils.py b/lib/python3.12/site-packages/numpy/ma/testutils.py new file mode 100644 index 0000000000000000000000000000000000000000..7a633906bb4245261d71e9e783e188f3d44b7790 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/ma/testutils.py @@ -0,0 +1,288 @@ +"""Miscellaneous functions for testing masked arrays and subclasses + +:author: Pierre Gerard-Marchant +:contact: pierregm_at_uga_dot_edu +:version: $Id: testutils.py 3529 2007-11-13 08:01:14Z jarrod.millman $ + +""" +import operator + +import numpy as np +from numpy import ndarray, float_ +import numpy.core.umath as umath +import numpy.testing +from numpy.testing import ( + assert_, assert_allclose, assert_array_almost_equal_nulp, + assert_raises, build_err_msg + ) +from .core import mask_or, getmask, masked_array, nomask, masked, filled + +__all__masked = [ + 'almost', 'approx', 'assert_almost_equal', 'assert_array_almost_equal', + 'assert_array_approx_equal', 'assert_array_compare', + 'assert_array_equal', 'assert_array_less', 'assert_close', + 'assert_equal', 'assert_equal_records', 'assert_mask_equal', + 'assert_not_equal', 'fail_if_array_equal', + ] + +# Include some normal test functions to avoid breaking other projects who +# have mistakenly included them from this file. SciPy is one. That is +# unfortunate, as some of these functions are not intended to work with +# masked arrays. But there was no way to tell before. +from unittest import TestCase +__some__from_testing = [ + 'TestCase', 'assert_', 'assert_allclose', 'assert_array_almost_equal_nulp', + 'assert_raises' + ] + +__all__ = __all__masked + __some__from_testing + + +def approx(a, b, fill_value=True, rtol=1e-5, atol=1e-8): + """ + Returns true if all components of a and b are equal to given tolerances. + + If fill_value is True, masked values considered equal. Otherwise, + masked values are considered unequal. The relative error rtol should + be positive and << 1.0 The absolute error atol comes into play for + those elements of b that are very small or zero; it says how small a + must be also. + + """ + m = mask_or(getmask(a), getmask(b)) + d1 = filled(a) + d2 = filled(b) + if d1.dtype.char == "O" or d2.dtype.char == "O": + return np.equal(d1, d2).ravel() + x = filled(masked_array(d1, copy=False, mask=m), fill_value).astype(float_) + y = filled(masked_array(d2, copy=False, mask=m), 1).astype(float_) + d = np.less_equal(umath.absolute(x - y), atol + rtol * umath.absolute(y)) + return d.ravel() + + +def almost(a, b, decimal=6, fill_value=True): + """ + Returns True if a and b are equal up to decimal places. + + If fill_value is True, masked values considered equal. Otherwise, + masked values are considered unequal. + + """ + m = mask_or(getmask(a), getmask(b)) + d1 = filled(a) + d2 = filled(b) + if d1.dtype.char == "O" or d2.dtype.char == "O": + return np.equal(d1, d2).ravel() + x = filled(masked_array(d1, copy=False, mask=m), fill_value).astype(float_) + y = filled(masked_array(d2, copy=False, mask=m), 1).astype(float_) + d = np.around(np.abs(x - y), decimal) <= 10.0 ** (-decimal) + return d.ravel() + + +def _assert_equal_on_sequences(actual, desired, err_msg=''): + """ + Asserts the equality of two non-array sequences. + + """ + assert_equal(len(actual), len(desired), err_msg) + for k in range(len(desired)): + assert_equal(actual[k], desired[k], f'item={k!r}\n{err_msg}') + return + + +def assert_equal_records(a, b): + """ + Asserts that two records are equal. + + Pretty crude for now. + + """ + assert_equal(a.dtype, b.dtype) + for f in a.dtype.names: + (af, bf) = (operator.getitem(a, f), operator.getitem(b, f)) + if not (af is masked) and not (bf is masked): + assert_equal(operator.getitem(a, f), operator.getitem(b, f)) + return + + +def assert_equal(actual, desired, err_msg=''): + """ + Asserts that two items are equal. + + """ + # Case #1: dictionary ..... + if isinstance(desired, dict): + if not isinstance(actual, dict): + raise AssertionError(repr(type(actual))) + assert_equal(len(actual), len(desired), err_msg) + for k, i in desired.items(): + if k not in actual: + raise AssertionError(f"{k} not in {actual}") + assert_equal(actual[k], desired[k], f'key={k!r}\n{err_msg}') + return + # Case #2: lists ..... + if isinstance(desired, (list, tuple)) and isinstance(actual, (list, tuple)): + return _assert_equal_on_sequences(actual, desired, err_msg='') + if not (isinstance(actual, ndarray) or isinstance(desired, ndarray)): + msg = build_err_msg([actual, desired], err_msg,) + if not desired == actual: + raise AssertionError(msg) + return + # Case #4. arrays or equivalent + if ((actual is masked) and not (desired is masked)) or \ + ((desired is masked) and not (actual is masked)): + msg = build_err_msg([actual, desired], + err_msg, header='', names=('x', 'y')) + raise ValueError(msg) + actual = np.asanyarray(actual) + desired = np.asanyarray(desired) + (actual_dtype, desired_dtype) = (actual.dtype, desired.dtype) + if actual_dtype.char == "S" and desired_dtype.char == "S": + return _assert_equal_on_sequences(actual.tolist(), + desired.tolist(), + err_msg='') + return assert_array_equal(actual, desired, err_msg) + + +def fail_if_equal(actual, desired, err_msg='',): + """ + Raises an assertion error if two items are equal. + + """ + if isinstance(desired, dict): + if not isinstance(actual, dict): + raise AssertionError(repr(type(actual))) + fail_if_equal(len(actual), len(desired), err_msg) + for k, i in desired.items(): + if k not in actual: + raise AssertionError(repr(k)) + fail_if_equal(actual[k], desired[k], f'key={k!r}\n{err_msg}') + return + if isinstance(desired, (list, tuple)) and isinstance(actual, (list, tuple)): + fail_if_equal(len(actual), len(desired), err_msg) + for k in range(len(desired)): + fail_if_equal(actual[k], desired[k], f'item={k!r}\n{err_msg}') + return + if isinstance(actual, np.ndarray) or isinstance(desired, np.ndarray): + return fail_if_array_equal(actual, desired, err_msg) + msg = build_err_msg([actual, desired], err_msg) + if not desired != actual: + raise AssertionError(msg) + + +assert_not_equal = fail_if_equal + + +def assert_almost_equal(actual, desired, decimal=7, err_msg='', verbose=True): + """ + Asserts that two items are almost equal. + + The test is equivalent to abs(desired-actual) < 0.5 * 10**(-decimal). + + """ + if isinstance(actual, np.ndarray) or isinstance(desired, np.ndarray): + return assert_array_almost_equal(actual, desired, decimal=decimal, + err_msg=err_msg, verbose=verbose) + msg = build_err_msg([actual, desired], + err_msg=err_msg, verbose=verbose) + if not round(abs(desired - actual), decimal) == 0: + raise AssertionError(msg) + + +assert_close = assert_almost_equal + + +def assert_array_compare(comparison, x, y, err_msg='', verbose=True, header='', + fill_value=True): + """ + Asserts that comparison between two masked arrays is satisfied. + + The comparison is elementwise. + + """ + # Allocate a common mask and refill + m = mask_or(getmask(x), getmask(y)) + x = masked_array(x, copy=False, mask=m, keep_mask=False, subok=False) + y = masked_array(y, copy=False, mask=m, keep_mask=False, subok=False) + if ((x is masked) and not (y is masked)) or \ + ((y is masked) and not (x is masked)): + msg = build_err_msg([x, y], err_msg=err_msg, verbose=verbose, + header=header, names=('x', 'y')) + raise ValueError(msg) + # OK, now run the basic tests on filled versions + return np.testing.assert_array_compare(comparison, + x.filled(fill_value), + y.filled(fill_value), + err_msg=err_msg, + verbose=verbose, header=header) + + +def assert_array_equal(x, y, err_msg='', verbose=True): + """ + Checks the elementwise equality of two masked arrays. + + """ + assert_array_compare(operator.__eq__, x, y, + err_msg=err_msg, verbose=verbose, + header='Arrays are not equal') + + +def fail_if_array_equal(x, y, err_msg='', verbose=True): + """ + Raises an assertion error if two masked arrays are not equal elementwise. + + """ + def compare(x, y): + return (not np.all(approx(x, y))) + assert_array_compare(compare, x, y, err_msg=err_msg, verbose=verbose, + header='Arrays are not equal') + + +def assert_array_approx_equal(x, y, decimal=6, err_msg='', verbose=True): + """ + Checks the equality of two masked arrays, up to given number odecimals. + + The equality is checked elementwise. + + """ + def compare(x, y): + "Returns the result of the loose comparison between x and y)." + return approx(x, y, rtol=10. ** -decimal) + assert_array_compare(compare, x, y, err_msg=err_msg, verbose=verbose, + header='Arrays are not almost equal') + + +def assert_array_almost_equal(x, y, decimal=6, err_msg='', verbose=True): + """ + Checks the equality of two masked arrays, up to given number odecimals. + + The equality is checked elementwise. + + """ + def compare(x, y): + "Returns the result of the loose comparison between x and y)." + return almost(x, y, decimal) + assert_array_compare(compare, x, y, err_msg=err_msg, verbose=verbose, + header='Arrays are not almost equal') + + +def assert_array_less(x, y, err_msg='', verbose=True): + """ + Checks that x is smaller than y elementwise. + + """ + assert_array_compare(operator.__lt__, x, y, + err_msg=err_msg, verbose=verbose, + header='Arrays are not less-ordered') + + +def assert_mask_equal(m1, m2, err_msg=''): + """ + Asserts the equality of two masks. + + """ + if m1 is nomask: + assert_(m2 is nomask) + if m2 is nomask: + assert_(m1 is nomask) + assert_array_equal(m1, m2, err_msg=err_msg) diff --git a/lib/python3.12/site-packages/numpy/ma/timer_comparison.py b/lib/python3.12/site-packages/numpy/ma/timer_comparison.py new file mode 100644 index 0000000000000000000000000000000000000000..9eb1a23cd693b7f9176f4076c26c47caee3ce94c --- /dev/null +++ b/lib/python3.12/site-packages/numpy/ma/timer_comparison.py @@ -0,0 +1,443 @@ +import timeit +from functools import reduce + +import numpy as np +from numpy import float_ +import numpy.core.fromnumeric as fromnumeric + +from numpy.testing import build_err_msg + + +pi = np.pi + +class ModuleTester: + def __init__(self, module): + self.module = module + self.allequal = module.allequal + self.arange = module.arange + self.array = module.array + self.concatenate = module.concatenate + self.count = module.count + self.equal = module.equal + self.filled = module.filled + self.getmask = module.getmask + self.getmaskarray = module.getmaskarray + self.id = id + self.inner = module.inner + self.make_mask = module.make_mask + self.masked = module.masked + self.masked_array = module.masked_array + self.masked_values = module.masked_values + self.mask_or = module.mask_or + self.nomask = module.nomask + self.ones = module.ones + self.outer = module.outer + self.repeat = module.repeat + self.resize = module.resize + self.sort = module.sort + self.take = module.take + self.transpose = module.transpose + self.zeros = module.zeros + self.MaskType = module.MaskType + try: + self.umath = module.umath + except AttributeError: + self.umath = module.core.umath + self.testnames = [] + + def assert_array_compare(self, comparison, x, y, err_msg='', header='', + fill_value=True): + """ + Assert that a comparison of two masked arrays is satisfied elementwise. + + """ + xf = self.filled(x) + yf = self.filled(y) + m = self.mask_or(self.getmask(x), self.getmask(y)) + + x = self.filled(self.masked_array(xf, mask=m), fill_value) + y = self.filled(self.masked_array(yf, mask=m), fill_value) + if (x.dtype.char != "O"): + x = x.astype(float_) + if isinstance(x, np.ndarray) and x.size > 1: + x[np.isnan(x)] = 0 + elif np.isnan(x): + x = 0 + if (y.dtype.char != "O"): + y = y.astype(float_) + if isinstance(y, np.ndarray) and y.size > 1: + y[np.isnan(y)] = 0 + elif np.isnan(y): + y = 0 + try: + cond = (x.shape == () or y.shape == ()) or x.shape == y.shape + if not cond: + msg = build_err_msg([x, y], + err_msg + + f'\n(shapes {x.shape}, {y.shape} mismatch)', + header=header, + names=('x', 'y')) + assert cond, msg + val = comparison(x, y) + if m is not self.nomask and fill_value: + val = self.masked_array(val, mask=m) + if isinstance(val, bool): + cond = val + reduced = [0] + else: + reduced = val.ravel() + cond = reduced.all() + reduced = reduced.tolist() + if not cond: + match = 100-100.0*reduced.count(1)/len(reduced) + msg = build_err_msg([x, y], + err_msg + + '\n(mismatch %s%%)' % (match,), + header=header, + names=('x', 'y')) + assert cond, msg + except ValueError as e: + msg = build_err_msg([x, y], err_msg, header=header, names=('x', 'y')) + raise ValueError(msg) from e + + def assert_array_equal(self, x, y, err_msg=''): + """ + Checks the elementwise equality of two masked arrays. + + """ + self.assert_array_compare(self.equal, x, y, err_msg=err_msg, + header='Arrays are not equal') + + @np.errstate(all='ignore') + def test_0(self): + """ + Tests creation + + """ + x = np.array([1., 1., 1., -2., pi/2.0, 4., 5., -10., 10., 1., 2., 3.]) + m = [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0] + xm = self.masked_array(x, mask=m) + xm[0] + + @np.errstate(all='ignore') + def test_1(self): + """ + Tests creation + + """ + x = np.array([1., 1., 1., -2., pi/2.0, 4., 5., -10., 10., 1., 2., 3.]) + y = np.array([5., 0., 3., 2., -1., -4., 0., -10., 10., 1., 0., 3.]) + m1 = [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0] + m2 = [0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1] + xm = self.masked_array(x, mask=m1) + ym = self.masked_array(y, mask=m2) + xf = np.where(m1, 1.e+20, x) + xm.set_fill_value(1.e+20) + + assert((xm-ym).filled(0).any()) + s = x.shape + assert(xm.size == reduce(lambda x, y:x*y, s)) + assert(self.count(xm) == len(m1) - reduce(lambda x, y:x+y, m1)) + + for s in [(4, 3), (6, 2)]: + x.shape = s + y.shape = s + xm.shape = s + ym.shape = s + xf.shape = s + assert(self.count(xm) == len(m1) - reduce(lambda x, y:x+y, m1)) + + @np.errstate(all='ignore') + def test_2(self): + """ + Tests conversions and indexing. + + """ + x1 = np.array([1, 2, 4, 3]) + x2 = self.array(x1, mask=[1, 0, 0, 0]) + x3 = self.array(x1, mask=[0, 1, 0, 1]) + x4 = self.array(x1) + # test conversion to strings, no errors + str(x2) + repr(x2) + # tests of indexing + assert type(x2[1]) is type(x1[1]) + assert x1[1] == x2[1] + x1[2] = 9 + x2[2] = 9 + self.assert_array_equal(x1, x2) + x1[1:3] = 99 + x2[1:3] = 99 + x2[1] = self.masked + x2[1:3] = self.masked + x2[:] = x1 + x2[1] = self.masked + x3[:] = self.masked_array([1, 2, 3, 4], [0, 1, 1, 0]) + x4[:] = self.masked_array([1, 2, 3, 4], [0, 1, 1, 0]) + x1 = np.arange(5)*1.0 + x2 = self.masked_values(x1, 3.0) + x1 = self.array([1, 'hello', 2, 3], object) + x2 = np.array([1, 'hello', 2, 3], object) + # check that no error occurs. + x1[1] + x2[1] + assert x1[1:1].shape == (0,) + # Tests copy-size + n = [0, 0, 1, 0, 0] + m = self.make_mask(n) + m2 = self.make_mask(m) + assert(m is m2) + m3 = self.make_mask(m, copy=1) + assert(m is not m3) + + @np.errstate(all='ignore') + def test_3(self): + """ + Tests resize/repeat + + """ + x4 = self.arange(4) + x4[2] = self.masked + y4 = self.resize(x4, (8,)) + assert self.allequal(self.concatenate([x4, x4]), y4) + assert self.allequal(self.getmask(y4), [0, 0, 1, 0, 0, 0, 1, 0]) + y5 = self.repeat(x4, (2, 2, 2, 2), axis=0) + self.assert_array_equal(y5, [0, 0, 1, 1, 2, 2, 3, 3]) + y6 = self.repeat(x4, 2, axis=0) + assert self.allequal(y5, y6) + y7 = x4.repeat((2, 2, 2, 2), axis=0) + assert self.allequal(y5, y7) + y8 = x4.repeat(2, 0) + assert self.allequal(y5, y8) + + @np.errstate(all='ignore') + def test_4(self): + """ + Test of take, transpose, inner, outer products. + + """ + x = self.arange(24) + y = np.arange(24) + x[5:6] = self.masked + x = x.reshape(2, 3, 4) + y = y.reshape(2, 3, 4) + assert self.allequal(np.transpose(y, (2, 0, 1)), self.transpose(x, (2, 0, 1))) + assert self.allequal(np.take(y, (2, 0, 1), 1), self.take(x, (2, 0, 1), 1)) + assert self.allequal(np.inner(self.filled(x, 0), self.filled(y, 0)), + self.inner(x, y)) + assert self.allequal(np.outer(self.filled(x, 0), self.filled(y, 0)), + self.outer(x, y)) + y = self.array(['abc', 1, 'def', 2, 3], object) + y[2] = self.masked + t = self.take(y, [0, 3, 4]) + assert t[0] == 'abc' + assert t[1] == 2 + assert t[2] == 3 + + @np.errstate(all='ignore') + def test_5(self): + """ + Tests inplace w/ scalar + + """ + x = self.arange(10) + y = self.arange(10) + xm = self.arange(10) + xm[2] = self.masked + x += 1 + assert self.allequal(x, y+1) + xm += 1 + assert self.allequal(xm, y+1) + + x = self.arange(10) + xm = self.arange(10) + xm[2] = self.masked + x -= 1 + assert self.allequal(x, y-1) + xm -= 1 + assert self.allequal(xm, y-1) + + x = self.arange(10)*1.0 + xm = self.arange(10)*1.0 + xm[2] = self.masked + x *= 2.0 + assert self.allequal(x, y*2) + xm *= 2.0 + assert self.allequal(xm, y*2) + + x = self.arange(10)*2 + xm = self.arange(10)*2 + xm[2] = self.masked + x /= 2 + assert self.allequal(x, y) + xm /= 2 + assert self.allequal(xm, y) + + x = self.arange(10)*1.0 + xm = self.arange(10)*1.0 + xm[2] = self.masked + x /= 2.0 + assert self.allequal(x, y/2.0) + xm /= self.arange(10) + self.assert_array_equal(xm, self.ones((10,))) + + x = self.arange(10).astype(float_) + xm = self.arange(10) + xm[2] = self.masked + x += 1. + assert self.allequal(x, y + 1.) + + @np.errstate(all='ignore') + def test_6(self): + """ + Tests inplace w/ array + + """ + x = self.arange(10, dtype=float_) + y = self.arange(10) + xm = self.arange(10, dtype=float_) + xm[2] = self.masked + m = xm.mask + a = self.arange(10, dtype=float_) + a[-1] = self.masked + x += a + xm += a + assert self.allequal(x, y+a) + assert self.allequal(xm, y+a) + assert self.allequal(xm.mask, self.mask_or(m, a.mask)) + + x = self.arange(10, dtype=float_) + xm = self.arange(10, dtype=float_) + xm[2] = self.masked + m = xm.mask + a = self.arange(10, dtype=float_) + a[-1] = self.masked + x -= a + xm -= a + assert self.allequal(x, y-a) + assert self.allequal(xm, y-a) + assert self.allequal(xm.mask, self.mask_or(m, a.mask)) + + x = self.arange(10, dtype=float_) + xm = self.arange(10, dtype=float_) + xm[2] = self.masked + m = xm.mask + a = self.arange(10, dtype=float_) + a[-1] = self.masked + x *= a + xm *= a + assert self.allequal(x, y*a) + assert self.allequal(xm, y*a) + assert self.allequal(xm.mask, self.mask_or(m, a.mask)) + + x = self.arange(10, dtype=float_) + xm = self.arange(10, dtype=float_) + xm[2] = self.masked + m = xm.mask + a = self.arange(10, dtype=float_) + a[-1] = self.masked + x /= a + xm /= a + + @np.errstate(all='ignore') + def test_7(self): + "Tests ufunc" + d = (self.array([1.0, 0, -1, pi/2]*2, mask=[0, 1]+[0]*6), + self.array([1.0, 0, -1, pi/2]*2, mask=[1, 0]+[0]*6),) + for f in ['sqrt', 'log', 'log10', 'exp', 'conjugate', +# 'sin', 'cos', 'tan', +# 'arcsin', 'arccos', 'arctan', +# 'sinh', 'cosh', 'tanh', +# 'arcsinh', +# 'arccosh', +# 'arctanh', +# 'absolute', 'fabs', 'negative', +# # 'nonzero', 'around', +# 'floor', 'ceil', +# # 'sometrue', 'alltrue', +# 'logical_not', +# 'add', 'subtract', 'multiply', +# 'divide', 'true_divide', 'floor_divide', +# 'remainder', 'fmod', 'hypot', 'arctan2', +# 'equal', 'not_equal', 'less_equal', 'greater_equal', +# 'less', 'greater', +# 'logical_and', 'logical_or', 'logical_xor', + ]: + try: + uf = getattr(self.umath, f) + except AttributeError: + uf = getattr(fromnumeric, f) + mf = getattr(self.module, f) + args = d[:uf.nin] + ur = uf(*args) + mr = mf(*args) + self.assert_array_equal(ur.filled(0), mr.filled(0), f) + self.assert_array_equal(ur._mask, mr._mask) + + @np.errstate(all='ignore') + def test_99(self): + # test average + ott = self.array([0., 1., 2., 3.], mask=[1, 0, 0, 0]) + self.assert_array_equal(2.0, self.average(ott, axis=0)) + self.assert_array_equal(2.0, self.average(ott, weights=[1., 1., 2., 1.])) + result, wts = self.average(ott, weights=[1., 1., 2., 1.], returned=1) + self.assert_array_equal(2.0, result) + assert(wts == 4.0) + ott[:] = self.masked + assert(self.average(ott, axis=0) is self.masked) + ott = self.array([0., 1., 2., 3.], mask=[1, 0, 0, 0]) + ott = ott.reshape(2, 2) + ott[:, 1] = self.masked + self.assert_array_equal(self.average(ott, axis=0), [2.0, 0.0]) + assert(self.average(ott, axis=1)[0] is self.masked) + self.assert_array_equal([2., 0.], self.average(ott, axis=0)) + result, wts = self.average(ott, axis=0, returned=1) + self.assert_array_equal(wts, [1., 0.]) + w1 = [0, 1, 1, 1, 1, 0] + w2 = [[0, 1, 1, 1, 1, 0], [1, 0, 0, 0, 0, 1]] + x = self.arange(6) + self.assert_array_equal(self.average(x, axis=0), 2.5) + self.assert_array_equal(self.average(x, axis=0, weights=w1), 2.5) + y = self.array([self.arange(6), 2.0*self.arange(6)]) + self.assert_array_equal(self.average(y, None), np.add.reduce(np.arange(6))*3./12.) + self.assert_array_equal(self.average(y, axis=0), np.arange(6) * 3./2.) + self.assert_array_equal(self.average(y, axis=1), [self.average(x, axis=0), self.average(x, axis=0) * 2.0]) + self.assert_array_equal(self.average(y, None, weights=w2), 20./6.) + self.assert_array_equal(self.average(y, axis=0, weights=w2), [0., 1., 2., 3., 4., 10.]) + self.assert_array_equal(self.average(y, axis=1), [self.average(x, axis=0), self.average(x, axis=0) * 2.0]) + m1 = self.zeros(6) + m2 = [0, 0, 1, 1, 0, 0] + m3 = [[0, 0, 1, 1, 0, 0], [0, 1, 1, 1, 1, 0]] + m4 = self.ones(6) + m5 = [0, 1, 1, 1, 1, 1] + self.assert_array_equal(self.average(self.masked_array(x, m1), axis=0), 2.5) + self.assert_array_equal(self.average(self.masked_array(x, m2), axis=0), 2.5) + self.assert_array_equal(self.average(self.masked_array(x, m5), axis=0), 0.0) + self.assert_array_equal(self.count(self.average(self.masked_array(x, m4), axis=0)), 0) + z = self.masked_array(y, m3) + self.assert_array_equal(self.average(z, None), 20./6.) + self.assert_array_equal(self.average(z, axis=0), [0., 1., 99., 99., 4.0, 7.5]) + self.assert_array_equal(self.average(z, axis=1), [2.5, 5.0]) + self.assert_array_equal(self.average(z, axis=0, weights=w2), [0., 1., 99., 99., 4.0, 10.0]) + + @np.errstate(all='ignore') + def test_A(self): + x = self.arange(24) + x[5:6] = self.masked + x = x.reshape(2, 3, 4) + + +if __name__ == '__main__': + setup_base = ("from __main__ import ModuleTester \n" + "import numpy\n" + "tester = ModuleTester(module)\n") + setup_cur = "import numpy.ma.core as module\n" + setup_base + (nrepeat, nloop) = (10, 10) + + for i in range(1, 8): + func = 'tester.test_%i()' % i + cur = timeit.Timer(func, setup_cur).repeat(nrepeat, nloop*10) + cur = np.sort(cur) + print("#%i" % i + 50*'.') + print(eval("ModuleTester.test_%i.__doc__" % i)) + print(f'core_current : {cur[0]:.3f} - {cur[1]:.3f}') diff --git a/lib/python3.12/site-packages/numpy/matrixlib/__init__.py b/lib/python3.12/site-packages/numpy/matrixlib/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..8a7597d30387c98c0e7e66a0bfc82f5e64823d95 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/matrixlib/__init__.py @@ -0,0 +1,11 @@ +"""Sub-package containing the matrix class and related functions. + +""" +from . import defmatrix +from .defmatrix import * + +__all__ = defmatrix.__all__ + +from numpy._pytesttester import PytestTester +test = PytestTester(__name__) +del PytestTester diff --git a/lib/python3.12/site-packages/numpy/matrixlib/__init__.pyi b/lib/python3.12/site-packages/numpy/matrixlib/__init__.pyi new file mode 100644 index 0000000000000000000000000000000000000000..b0ca8c9ca03d39efa03bede061f2a4f8ef90523a --- /dev/null +++ b/lib/python3.12/site-packages/numpy/matrixlib/__init__.pyi @@ -0,0 +1,15 @@ +from numpy._pytesttester import PytestTester + +from numpy import ( + matrix as matrix, +) + +from numpy.matrixlib.defmatrix import ( + bmat as bmat, + mat as mat, + asmatrix as asmatrix, +) + +__all__: list[str] +__path__: list[str] +test: PytestTester diff --git a/lib/python3.12/site-packages/numpy/matrixlib/__pycache__/__init__.cpython-312.pyc b/lib/python3.12/site-packages/numpy/matrixlib/__pycache__/__init__.cpython-312.pyc new file mode 100644 index 0000000000000000000000000000000000000000..c74166caf9be033d4a125f49917935445dfe756a Binary files /dev/null and b/lib/python3.12/site-packages/numpy/matrixlib/__pycache__/__init__.cpython-312.pyc differ diff --git a/lib/python3.12/site-packages/numpy/matrixlib/__pycache__/defmatrix.cpython-312.pyc b/lib/python3.12/site-packages/numpy/matrixlib/__pycache__/defmatrix.cpython-312.pyc new file mode 100644 index 0000000000000000000000000000000000000000..9f0652caf1b963bcbab04c9b882f35f34a1d034c Binary files /dev/null and b/lib/python3.12/site-packages/numpy/matrixlib/__pycache__/defmatrix.cpython-312.pyc differ diff --git a/lib/python3.12/site-packages/numpy/matrixlib/__pycache__/setup.cpython-312.pyc b/lib/python3.12/site-packages/numpy/matrixlib/__pycache__/setup.cpython-312.pyc new file mode 100644 index 0000000000000000000000000000000000000000..0deadb2fb8a49958e2a3e2c5369e144274874c58 Binary files /dev/null and b/lib/python3.12/site-packages/numpy/matrixlib/__pycache__/setup.cpython-312.pyc differ diff --git a/lib/python3.12/site-packages/numpy/matrixlib/defmatrix.py b/lib/python3.12/site-packages/numpy/matrixlib/defmatrix.py new file mode 100644 index 0000000000000000000000000000000000000000..d029b13fb8b561247fb031e44a14de285a1d9d4a --- /dev/null +++ b/lib/python3.12/site-packages/numpy/matrixlib/defmatrix.py @@ -0,0 +1,1114 @@ +__all__ = ['matrix', 'bmat', 'mat', 'asmatrix'] + +import sys +import warnings +import ast + +from .._utils import set_module +import numpy.core.numeric as N +from numpy.core.numeric import concatenate, isscalar +# While not in __all__, matrix_power used to be defined here, so we import +# it for backward compatibility. +from numpy.linalg import matrix_power + + +def _convert_from_string(data): + for char in '[]': + data = data.replace(char, '') + + rows = data.split(';') + newdata = [] + count = 0 + for row in rows: + trow = row.split(',') + newrow = [] + for col in trow: + temp = col.split() + newrow.extend(map(ast.literal_eval, temp)) + if count == 0: + Ncols = len(newrow) + elif len(newrow) != Ncols: + raise ValueError("Rows not the same size.") + count += 1 + newdata.append(newrow) + return newdata + + +@set_module('numpy') +def asmatrix(data, dtype=None): + """ + Interpret the input as a matrix. + + Unlike `matrix`, `asmatrix` does not make a copy if the input is already + a matrix or an ndarray. Equivalent to ``matrix(data, copy=False)``. + + Parameters + ---------- + data : array_like + Input data. + dtype : data-type + Data-type of the output matrix. + + Returns + ------- + mat : matrix + `data` interpreted as a matrix. + + Examples + -------- + >>> x = np.array([[1, 2], [3, 4]]) + + >>> m = np.asmatrix(x) + + >>> x[0,0] = 5 + + >>> m + matrix([[5, 2], + [3, 4]]) + + """ + return matrix(data, dtype=dtype, copy=False) + + +@set_module('numpy') +class matrix(N.ndarray): + """ + matrix(data, dtype=None, copy=True) + + .. note:: It is no longer recommended to use this class, even for linear + algebra. Instead use regular arrays. The class may be removed + in the future. + + Returns a matrix from an array-like object, or from a string of data. + A matrix is a specialized 2-D array that retains its 2-D nature + through operations. It has certain special operators, such as ``*`` + (matrix multiplication) and ``**`` (matrix power). + + Parameters + ---------- + data : array_like or string + If `data` is a string, it is interpreted as a matrix with commas + or spaces separating columns, and semicolons separating rows. + dtype : data-type + Data-type of the output matrix. + copy : bool + If `data` is already an `ndarray`, then this flag determines + whether the data is copied (the default), or whether a view is + constructed. + + See Also + -------- + array + + Examples + -------- + >>> a = np.matrix('1 2; 3 4') + >>> a + matrix([[1, 2], + [3, 4]]) + + >>> np.matrix([[1, 2], [3, 4]]) + matrix([[1, 2], + [3, 4]]) + + """ + __array_priority__ = 10.0 + def __new__(subtype, data, dtype=None, copy=True): + warnings.warn('the matrix subclass is not the recommended way to ' + 'represent matrices or deal with linear algebra (see ' + 'https://docs.scipy.org/doc/numpy/user/' + 'numpy-for-matlab-users.html). ' + 'Please adjust your code to use regular ndarray.', + PendingDeprecationWarning, stacklevel=2) + if isinstance(data, matrix): + dtype2 = data.dtype + if (dtype is None): + dtype = dtype2 + if (dtype2 == dtype) and (not copy): + return data + return data.astype(dtype) + + if isinstance(data, N.ndarray): + if dtype is None: + intype = data.dtype + else: + intype = N.dtype(dtype) + new = data.view(subtype) + if intype != data.dtype: + return new.astype(intype) + if copy: return new.copy() + else: return new + + if isinstance(data, str): + data = _convert_from_string(data) + + # now convert data to an array + arr = N.array(data, dtype=dtype, copy=copy) + ndim = arr.ndim + shape = arr.shape + if (ndim > 2): + raise ValueError("matrix must be 2-dimensional") + elif ndim == 0: + shape = (1, 1) + elif ndim == 1: + shape = (1, shape[0]) + + order = 'C' + if (ndim == 2) and arr.flags.fortran: + order = 'F' + + if not (order or arr.flags.contiguous): + arr = arr.copy() + + ret = N.ndarray.__new__(subtype, shape, arr.dtype, + buffer=arr, + order=order) + return ret + + def __array_finalize__(self, obj): + self._getitem = False + if (isinstance(obj, matrix) and obj._getitem): return + ndim = self.ndim + if (ndim == 2): + return + if (ndim > 2): + newshape = tuple([x for x in self.shape if x > 1]) + ndim = len(newshape) + if ndim == 2: + self.shape = newshape + return + elif (ndim > 2): + raise ValueError("shape too large to be a matrix.") + else: + newshape = self.shape + if ndim == 0: + self.shape = (1, 1) + elif ndim == 1: + self.shape = (1, newshape[0]) + return + + def __getitem__(self, index): + self._getitem = True + + try: + out = N.ndarray.__getitem__(self, index) + finally: + self._getitem = False + + if not isinstance(out, N.ndarray): + return out + + if out.ndim == 0: + return out[()] + if out.ndim == 1: + sh = out.shape[0] + # Determine when we should have a column array + try: + n = len(index) + except Exception: + n = 0 + if n > 1 and isscalar(index[1]): + out.shape = (sh, 1) + else: + out.shape = (1, sh) + return out + + def __mul__(self, other): + if isinstance(other, (N.ndarray, list, tuple)) : + # This promotes 1-D vectors to row vectors + return N.dot(self, asmatrix(other)) + if isscalar(other) or not hasattr(other, '__rmul__') : + return N.dot(self, other) + return NotImplemented + + def __rmul__(self, other): + return N.dot(other, self) + + def __imul__(self, other): + self[:] = self * other + return self + + def __pow__(self, other): + return matrix_power(self, other) + + def __ipow__(self, other): + self[:] = self ** other + return self + + def __rpow__(self, other): + return NotImplemented + + def _align(self, axis): + """A convenience function for operations that need to preserve axis + orientation. + """ + if axis is None: + return self[0, 0] + elif axis==0: + return self + elif axis==1: + return self.transpose() + else: + raise ValueError("unsupported axis") + + def _collapse(self, axis): + """A convenience function for operations that want to collapse + to a scalar like _align, but are using keepdims=True + """ + if axis is None: + return self[0, 0] + else: + return self + + # Necessary because base-class tolist expects dimension + # reduction by x[0] + def tolist(self): + """ + Return the matrix as a (possibly nested) list. + + See `ndarray.tolist` for full documentation. + + See Also + -------- + ndarray.tolist + + Examples + -------- + >>> x = np.matrix(np.arange(12).reshape((3,4))); x + matrix([[ 0, 1, 2, 3], + [ 4, 5, 6, 7], + [ 8, 9, 10, 11]]) + >>> x.tolist() + [[0, 1, 2, 3], [4, 5, 6, 7], [8, 9, 10, 11]] + + """ + return self.__array__().tolist() + + # To preserve orientation of result... + def sum(self, axis=None, dtype=None, out=None): + """ + Returns the sum of the matrix elements, along the given axis. + + Refer to `numpy.sum` for full documentation. + + See Also + -------- + numpy.sum + + Notes + ----- + This is the same as `ndarray.sum`, except that where an `ndarray` would + be returned, a `matrix` object is returned instead. + + Examples + -------- + >>> x = np.matrix([[1, 2], [4, 3]]) + >>> x.sum() + 10 + >>> x.sum(axis=1) + matrix([[3], + [7]]) + >>> x.sum(axis=1, dtype='float') + matrix([[3.], + [7.]]) + >>> out = np.zeros((2, 1), dtype='float') + >>> x.sum(axis=1, dtype='float', out=np.asmatrix(out)) + matrix([[3.], + [7.]]) + + """ + return N.ndarray.sum(self, axis, dtype, out, keepdims=True)._collapse(axis) + + + # To update docstring from array to matrix... + def squeeze(self, axis=None): + """ + Return a possibly reshaped matrix. + + Refer to `numpy.squeeze` for more documentation. + + Parameters + ---------- + axis : None or int or tuple of ints, optional + Selects a subset of the axes of length one in the shape. + If an axis is selected with shape entry greater than one, + an error is raised. + + Returns + ------- + squeezed : matrix + The matrix, but as a (1, N) matrix if it had shape (N, 1). + + See Also + -------- + numpy.squeeze : related function + + Notes + ----- + If `m` has a single column then that column is returned + as the single row of a matrix. Otherwise `m` is returned. + The returned matrix is always either `m` itself or a view into `m`. + Supplying an axis keyword argument will not affect the returned matrix + but it may cause an error to be raised. + + Examples + -------- + >>> c = np.matrix([[1], [2]]) + >>> c + matrix([[1], + [2]]) + >>> c.squeeze() + matrix([[1, 2]]) + >>> r = c.T + >>> r + matrix([[1, 2]]) + >>> r.squeeze() + matrix([[1, 2]]) + >>> m = np.matrix([[1, 2], [3, 4]]) + >>> m.squeeze() + matrix([[1, 2], + [3, 4]]) + + """ + return N.ndarray.squeeze(self, axis=axis) + + + # To update docstring from array to matrix... + def flatten(self, order='C'): + """ + Return a flattened copy of the matrix. + + All `N` elements of the matrix are placed into a single row. + + Parameters + ---------- + order : {'C', 'F', 'A', 'K'}, optional + 'C' means to flatten in row-major (C-style) order. 'F' means to + flatten in column-major (Fortran-style) order. 'A' means to + flatten in column-major order if `m` is Fortran *contiguous* in + memory, row-major order otherwise. 'K' means to flatten `m` in + the order the elements occur in memory. The default is 'C'. + + Returns + ------- + y : matrix + A copy of the matrix, flattened to a `(1, N)` matrix where `N` + is the number of elements in the original matrix. + + See Also + -------- + ravel : Return a flattened array. + flat : A 1-D flat iterator over the matrix. + + Examples + -------- + >>> m = np.matrix([[1,2], [3,4]]) + >>> m.flatten() + matrix([[1, 2, 3, 4]]) + >>> m.flatten('F') + matrix([[1, 3, 2, 4]]) + + """ + return N.ndarray.flatten(self, order=order) + + def mean(self, axis=None, dtype=None, out=None): + """ + Returns the average of the matrix elements along the given axis. + + Refer to `numpy.mean` for full documentation. + + See Also + -------- + numpy.mean + + Notes + ----- + Same as `ndarray.mean` except that, where that returns an `ndarray`, + this returns a `matrix` object. + + Examples + -------- + >>> x = np.matrix(np.arange(12).reshape((3, 4))) + >>> x + matrix([[ 0, 1, 2, 3], + [ 4, 5, 6, 7], + [ 8, 9, 10, 11]]) + >>> x.mean() + 5.5 + >>> x.mean(0) + matrix([[4., 5., 6., 7.]]) + >>> x.mean(1) + matrix([[ 1.5], + [ 5.5], + [ 9.5]]) + + """ + return N.ndarray.mean(self, axis, dtype, out, keepdims=True)._collapse(axis) + + def std(self, axis=None, dtype=None, out=None, ddof=0): + """ + Return the standard deviation of the array elements along the given axis. + + Refer to `numpy.std` for full documentation. + + See Also + -------- + numpy.std + + Notes + ----- + This is the same as `ndarray.std`, except that where an `ndarray` would + be returned, a `matrix` object is returned instead. + + Examples + -------- + >>> x = np.matrix(np.arange(12).reshape((3, 4))) + >>> x + matrix([[ 0, 1, 2, 3], + [ 4, 5, 6, 7], + [ 8, 9, 10, 11]]) + >>> x.std() + 3.4520525295346629 # may vary + >>> x.std(0) + matrix([[ 3.26598632, 3.26598632, 3.26598632, 3.26598632]]) # may vary + >>> x.std(1) + matrix([[ 1.11803399], + [ 1.11803399], + [ 1.11803399]]) + + """ + return N.ndarray.std(self, axis, dtype, out, ddof, keepdims=True)._collapse(axis) + + def var(self, axis=None, dtype=None, out=None, ddof=0): + """ + Returns the variance of the matrix elements, along the given axis. + + Refer to `numpy.var` for full documentation. + + See Also + -------- + numpy.var + + Notes + ----- + This is the same as `ndarray.var`, except that where an `ndarray` would + be returned, a `matrix` object is returned instead. + + Examples + -------- + >>> x = np.matrix(np.arange(12).reshape((3, 4))) + >>> x + matrix([[ 0, 1, 2, 3], + [ 4, 5, 6, 7], + [ 8, 9, 10, 11]]) + >>> x.var() + 11.916666666666666 + >>> x.var(0) + matrix([[ 10.66666667, 10.66666667, 10.66666667, 10.66666667]]) # may vary + >>> x.var(1) + matrix([[1.25], + [1.25], + [1.25]]) + + """ + return N.ndarray.var(self, axis, dtype, out, ddof, keepdims=True)._collapse(axis) + + def prod(self, axis=None, dtype=None, out=None): + """ + Return the product of the array elements over the given axis. + + Refer to `prod` for full documentation. + + See Also + -------- + prod, ndarray.prod + + Notes + ----- + Same as `ndarray.prod`, except, where that returns an `ndarray`, this + returns a `matrix` object instead. + + Examples + -------- + >>> x = np.matrix(np.arange(12).reshape((3,4))); x + matrix([[ 0, 1, 2, 3], + [ 4, 5, 6, 7], + [ 8, 9, 10, 11]]) + >>> x.prod() + 0 + >>> x.prod(0) + matrix([[ 0, 45, 120, 231]]) + >>> x.prod(1) + matrix([[ 0], + [ 840], + [7920]]) + + """ + return N.ndarray.prod(self, axis, dtype, out, keepdims=True)._collapse(axis) + + def any(self, axis=None, out=None): + """ + Test whether any array element along a given axis evaluates to True. + + Refer to `numpy.any` for full documentation. + + Parameters + ---------- + axis : int, optional + Axis along which logical OR is performed + out : ndarray, optional + Output to existing array instead of creating new one, must have + same shape as expected output + + Returns + ------- + any : bool, ndarray + Returns a single bool if `axis` is ``None``; otherwise, + returns `ndarray` + + """ + return N.ndarray.any(self, axis, out, keepdims=True)._collapse(axis) + + def all(self, axis=None, out=None): + """ + Test whether all matrix elements along a given axis evaluate to True. + + Parameters + ---------- + See `numpy.all` for complete descriptions + + See Also + -------- + numpy.all + + Notes + ----- + This is the same as `ndarray.all`, but it returns a `matrix` object. + + Examples + -------- + >>> x = np.matrix(np.arange(12).reshape((3,4))); x + matrix([[ 0, 1, 2, 3], + [ 4, 5, 6, 7], + [ 8, 9, 10, 11]]) + >>> y = x[0]; y + matrix([[0, 1, 2, 3]]) + >>> (x == y) + matrix([[ True, True, True, True], + [False, False, False, False], + [False, False, False, False]]) + >>> (x == y).all() + False + >>> (x == y).all(0) + matrix([[False, False, False, False]]) + >>> (x == y).all(1) + matrix([[ True], + [False], + [False]]) + + """ + return N.ndarray.all(self, axis, out, keepdims=True)._collapse(axis) + + def max(self, axis=None, out=None): + """ + Return the maximum value along an axis. + + Parameters + ---------- + See `amax` for complete descriptions + + See Also + -------- + amax, ndarray.max + + Notes + ----- + This is the same as `ndarray.max`, but returns a `matrix` object + where `ndarray.max` would return an ndarray. + + Examples + -------- + >>> x = np.matrix(np.arange(12).reshape((3,4))); x + matrix([[ 0, 1, 2, 3], + [ 4, 5, 6, 7], + [ 8, 9, 10, 11]]) + >>> x.max() + 11 + >>> x.max(0) + matrix([[ 8, 9, 10, 11]]) + >>> x.max(1) + matrix([[ 3], + [ 7], + [11]]) + + """ + return N.ndarray.max(self, axis, out, keepdims=True)._collapse(axis) + + def argmax(self, axis=None, out=None): + """ + Indexes of the maximum values along an axis. + + Return the indexes of the first occurrences of the maximum values + along the specified axis. If axis is None, the index is for the + flattened matrix. + + Parameters + ---------- + See `numpy.argmax` for complete descriptions + + See Also + -------- + numpy.argmax + + Notes + ----- + This is the same as `ndarray.argmax`, but returns a `matrix` object + where `ndarray.argmax` would return an `ndarray`. + + Examples + -------- + >>> x = np.matrix(np.arange(12).reshape((3,4))); x + matrix([[ 0, 1, 2, 3], + [ 4, 5, 6, 7], + [ 8, 9, 10, 11]]) + >>> x.argmax() + 11 + >>> x.argmax(0) + matrix([[2, 2, 2, 2]]) + >>> x.argmax(1) + matrix([[3], + [3], + [3]]) + + """ + return N.ndarray.argmax(self, axis, out)._align(axis) + + def min(self, axis=None, out=None): + """ + Return the minimum value along an axis. + + Parameters + ---------- + See `amin` for complete descriptions. + + See Also + -------- + amin, ndarray.min + + Notes + ----- + This is the same as `ndarray.min`, but returns a `matrix` object + where `ndarray.min` would return an ndarray. + + Examples + -------- + >>> x = -np.matrix(np.arange(12).reshape((3,4))); x + matrix([[ 0, -1, -2, -3], + [ -4, -5, -6, -7], + [ -8, -9, -10, -11]]) + >>> x.min() + -11 + >>> x.min(0) + matrix([[ -8, -9, -10, -11]]) + >>> x.min(1) + matrix([[ -3], + [ -7], + [-11]]) + + """ + return N.ndarray.min(self, axis, out, keepdims=True)._collapse(axis) + + def argmin(self, axis=None, out=None): + """ + Indexes of the minimum values along an axis. + + Return the indexes of the first occurrences of the minimum values + along the specified axis. If axis is None, the index is for the + flattened matrix. + + Parameters + ---------- + See `numpy.argmin` for complete descriptions. + + See Also + -------- + numpy.argmin + + Notes + ----- + This is the same as `ndarray.argmin`, but returns a `matrix` object + where `ndarray.argmin` would return an `ndarray`. + + Examples + -------- + >>> x = -np.matrix(np.arange(12).reshape((3,4))); x + matrix([[ 0, -1, -2, -3], + [ -4, -5, -6, -7], + [ -8, -9, -10, -11]]) + >>> x.argmin() + 11 + >>> x.argmin(0) + matrix([[2, 2, 2, 2]]) + >>> x.argmin(1) + matrix([[3], + [3], + [3]]) + + """ + return N.ndarray.argmin(self, axis, out)._align(axis) + + def ptp(self, axis=None, out=None): + """ + Peak-to-peak (maximum - minimum) value along the given axis. + + Refer to `numpy.ptp` for full documentation. + + See Also + -------- + numpy.ptp + + Notes + ----- + Same as `ndarray.ptp`, except, where that would return an `ndarray` object, + this returns a `matrix` object. + + Examples + -------- + >>> x = np.matrix(np.arange(12).reshape((3,4))); x + matrix([[ 0, 1, 2, 3], + [ 4, 5, 6, 7], + [ 8, 9, 10, 11]]) + >>> x.ptp() + 11 + >>> x.ptp(0) + matrix([[8, 8, 8, 8]]) + >>> x.ptp(1) + matrix([[3], + [3], + [3]]) + + """ + return N.ndarray.ptp(self, axis, out)._align(axis) + + @property + def I(self): + """ + Returns the (multiplicative) inverse of invertible `self`. + + Parameters + ---------- + None + + Returns + ------- + ret : matrix object + If `self` is non-singular, `ret` is such that ``ret * self`` == + ``self * ret`` == ``np.matrix(np.eye(self[0,:].size))`` all return + ``True``. + + Raises + ------ + numpy.linalg.LinAlgError: Singular matrix + If `self` is singular. + + See Also + -------- + linalg.inv + + Examples + -------- + >>> m = np.matrix('[1, 2; 3, 4]'); m + matrix([[1, 2], + [3, 4]]) + >>> m.getI() + matrix([[-2. , 1. ], + [ 1.5, -0.5]]) + >>> m.getI() * m + matrix([[ 1., 0.], # may vary + [ 0., 1.]]) + + """ + M, N = self.shape + if M == N: + from numpy.linalg import inv as func + else: + from numpy.linalg import pinv as func + return asmatrix(func(self)) + + @property + def A(self): + """ + Return `self` as an `ndarray` object. + + Equivalent to ``np.asarray(self)``. + + Parameters + ---------- + None + + Returns + ------- + ret : ndarray + `self` as an `ndarray` + + Examples + -------- + >>> x = np.matrix(np.arange(12).reshape((3,4))); x + matrix([[ 0, 1, 2, 3], + [ 4, 5, 6, 7], + [ 8, 9, 10, 11]]) + >>> x.getA() + array([[ 0, 1, 2, 3], + [ 4, 5, 6, 7], + [ 8, 9, 10, 11]]) + + """ + return self.__array__() + + @property + def A1(self): + """ + Return `self` as a flattened `ndarray`. + + Equivalent to ``np.asarray(x).ravel()`` + + Parameters + ---------- + None + + Returns + ------- + ret : ndarray + `self`, 1-D, as an `ndarray` + + Examples + -------- + >>> x = np.matrix(np.arange(12).reshape((3,4))); x + matrix([[ 0, 1, 2, 3], + [ 4, 5, 6, 7], + [ 8, 9, 10, 11]]) + >>> x.getA1() + array([ 0, 1, 2, ..., 9, 10, 11]) + + + """ + return self.__array__().ravel() + + + def ravel(self, order='C'): + """ + Return a flattened matrix. + + Refer to `numpy.ravel` for more documentation. + + Parameters + ---------- + order : {'C', 'F', 'A', 'K'}, optional + The elements of `m` are read using this index order. 'C' means to + index the elements in C-like order, with the last axis index + changing fastest, back to the first axis index changing slowest. + 'F' means to index the elements in Fortran-like index order, with + the first index changing fastest, and the last index changing + slowest. Note that the 'C' and 'F' options take no account of the + memory layout of the underlying array, and only refer to the order + of axis indexing. 'A' means to read the elements in Fortran-like + index order if `m` is Fortran *contiguous* in memory, C-like order + otherwise. 'K' means to read the elements in the order they occur + in memory, except for reversing the data when strides are negative. + By default, 'C' index order is used. + + Returns + ------- + ret : matrix + Return the matrix flattened to shape `(1, N)` where `N` + is the number of elements in the original matrix. + A copy is made only if necessary. + + See Also + -------- + matrix.flatten : returns a similar output matrix but always a copy + matrix.flat : a flat iterator on the array. + numpy.ravel : related function which returns an ndarray + + """ + return N.ndarray.ravel(self, order=order) + + @property + def T(self): + """ + Returns the transpose of the matrix. + + Does *not* conjugate! For the complex conjugate transpose, use ``.H``. + + Parameters + ---------- + None + + Returns + ------- + ret : matrix object + The (non-conjugated) transpose of the matrix. + + See Also + -------- + transpose, getH + + Examples + -------- + >>> m = np.matrix('[1, 2; 3, 4]') + >>> m + matrix([[1, 2], + [3, 4]]) + >>> m.getT() + matrix([[1, 3], + [2, 4]]) + + """ + return self.transpose() + + @property + def H(self): + """ + Returns the (complex) conjugate transpose of `self`. + + Equivalent to ``np.transpose(self)`` if `self` is real-valued. + + Parameters + ---------- + None + + Returns + ------- + ret : matrix object + complex conjugate transpose of `self` + + Examples + -------- + >>> x = np.matrix(np.arange(12).reshape((3,4))) + >>> z = x - 1j*x; z + matrix([[ 0. +0.j, 1. -1.j, 2. -2.j, 3. -3.j], + [ 4. -4.j, 5. -5.j, 6. -6.j, 7. -7.j], + [ 8. -8.j, 9. -9.j, 10.-10.j, 11.-11.j]]) + >>> z.getH() + matrix([[ 0. -0.j, 4. +4.j, 8. +8.j], + [ 1. +1.j, 5. +5.j, 9. +9.j], + [ 2. +2.j, 6. +6.j, 10.+10.j], + [ 3. +3.j, 7. +7.j, 11.+11.j]]) + + """ + if issubclass(self.dtype.type, N.complexfloating): + return self.transpose().conjugate() + else: + return self.transpose() + + # kept for compatibility + getT = T.fget + getA = A.fget + getA1 = A1.fget + getH = H.fget + getI = I.fget + +def _from_string(str, gdict, ldict): + rows = str.split(';') + rowtup = [] + for row in rows: + trow = row.split(',') + newrow = [] + for x in trow: + newrow.extend(x.split()) + trow = newrow + coltup = [] + for col in trow: + col = col.strip() + try: + thismat = ldict[col] + except KeyError: + try: + thismat = gdict[col] + except KeyError as e: + raise NameError(f"name {col!r} is not defined") from None + + coltup.append(thismat) + rowtup.append(concatenate(coltup, axis=-1)) + return concatenate(rowtup, axis=0) + + +@set_module('numpy') +def bmat(obj, ldict=None, gdict=None): + """ + Build a matrix object from a string, nested sequence, or array. + + Parameters + ---------- + obj : str or array_like + Input data. If a string, variables in the current scope may be + referenced by name. + ldict : dict, optional + A dictionary that replaces local operands in current frame. + Ignored if `obj` is not a string or `gdict` is None. + gdict : dict, optional + A dictionary that replaces global operands in current frame. + Ignored if `obj` is not a string. + + Returns + ------- + out : matrix + Returns a matrix object, which is a specialized 2-D array. + + See Also + -------- + block : + A generalization of this function for N-d arrays, that returns normal + ndarrays. + + Examples + -------- + >>> A = np.mat('1 1; 1 1') + >>> B = np.mat('2 2; 2 2') + >>> C = np.mat('3 4; 5 6') + >>> D = np.mat('7 8; 9 0') + + All the following expressions construct the same block matrix: + + >>> np.bmat([[A, B], [C, D]]) + matrix([[1, 1, 2, 2], + [1, 1, 2, 2], + [3, 4, 7, 8], + [5, 6, 9, 0]]) + >>> np.bmat(np.r_[np.c_[A, B], np.c_[C, D]]) + matrix([[1, 1, 2, 2], + [1, 1, 2, 2], + [3, 4, 7, 8], + [5, 6, 9, 0]]) + >>> np.bmat('A,B; C,D') + matrix([[1, 1, 2, 2], + [1, 1, 2, 2], + [3, 4, 7, 8], + [5, 6, 9, 0]]) + + """ + if isinstance(obj, str): + if gdict is None: + # get previous frame + frame = sys._getframe().f_back + glob_dict = frame.f_globals + loc_dict = frame.f_locals + else: + glob_dict = gdict + loc_dict = ldict + + return matrix(_from_string(obj, glob_dict, loc_dict)) + + if isinstance(obj, (tuple, list)): + # [[A,B],[C,D]] + arr_rows = [] + for row in obj: + if isinstance(row, N.ndarray): # not 2-d + return matrix(concatenate(obj, axis=-1)) + else: + arr_rows.append(concatenate(row, axis=-1)) + return matrix(concatenate(arr_rows, axis=0)) + if isinstance(obj, N.ndarray): + return matrix(obj) + +mat = asmatrix diff --git a/lib/python3.12/site-packages/numpy/matrixlib/defmatrix.pyi b/lib/python3.12/site-packages/numpy/matrixlib/defmatrix.pyi new file mode 100644 index 0000000000000000000000000000000000000000..9d0d1ee50b6600bce80f1f5b1363e5ee3102a02a --- /dev/null +++ b/lib/python3.12/site-packages/numpy/matrixlib/defmatrix.pyi @@ -0,0 +1,16 @@ +from collections.abc import Sequence, Mapping +from typing import Any +from numpy import matrix as matrix +from numpy._typing import ArrayLike, DTypeLike, NDArray + +__all__: list[str] + +def bmat( + obj: str | Sequence[ArrayLike] | NDArray[Any], + ldict: None | Mapping[str, Any] = ..., + gdict: None | Mapping[str, Any] = ..., +) -> matrix[Any, Any]: ... + +def asmatrix(data: ArrayLike, dtype: DTypeLike = ...) -> matrix[Any, Any]: ... + +mat = asmatrix diff --git a/lib/python3.12/site-packages/numpy/matrixlib/setup.py b/lib/python3.12/site-packages/numpy/matrixlib/setup.py new file mode 100644 index 0000000000000000000000000000000000000000..4fed75de1cbc22357c675fd8ce2d52cbb6829b50 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/matrixlib/setup.py @@ -0,0 +1,12 @@ +#!/usr/bin/env python3 +def configuration(parent_package='', top_path=None): + from numpy.distutils.misc_util import Configuration + config = Configuration('matrixlib', parent_package, top_path) + config.add_subpackage('tests') + config.add_data_files('*.pyi') + return config + +if __name__ == "__main__": + from numpy.distutils.core import setup + config = configuration(top_path='').todict() + setup(**config) diff --git a/lib/python3.12/site-packages/numpy/matrixlib/tests/__init__.py b/lib/python3.12/site-packages/numpy/matrixlib/tests/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 diff --git a/lib/python3.12/site-packages/numpy/matrixlib/tests/__pycache__/__init__.cpython-312.pyc b/lib/python3.12/site-packages/numpy/matrixlib/tests/__pycache__/__init__.cpython-312.pyc new file mode 100644 index 0000000000000000000000000000000000000000..3a0079327980b42e8704a0430f0b936d19ac88c3 Binary files /dev/null and b/lib/python3.12/site-packages/numpy/matrixlib/tests/__pycache__/__init__.cpython-312.pyc differ diff --git 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index 0000000000000000000000000000000000000000..b46d3b6c172cd0d38288bc9eeb45e922f6355f13 Binary files /dev/null and b/lib/python3.12/site-packages/numpy/matrixlib/tests/__pycache__/test_regression.cpython-312.pyc differ diff --git a/lib/python3.12/site-packages/numpy/matrixlib/tests/test_defmatrix.py b/lib/python3.12/site-packages/numpy/matrixlib/tests/test_defmatrix.py new file mode 100644 index 0000000000000000000000000000000000000000..4cb5f3a375e933fbc63b3aaab12527e60423de0c --- /dev/null +++ b/lib/python3.12/site-packages/numpy/matrixlib/tests/test_defmatrix.py @@ -0,0 +1,453 @@ +import collections.abc + +import numpy as np +from numpy import matrix, asmatrix, bmat +from numpy.testing import ( + assert_, assert_equal, assert_almost_equal, assert_array_equal, + assert_array_almost_equal, assert_raises + ) +from numpy.linalg import matrix_power +from numpy.matrixlib import mat + +class TestCtor: + def test_basic(self): + A = np.array([[1, 2], [3, 4]]) + mA = matrix(A) + assert_(np.all(mA.A == A)) + + B = bmat("A,A;A,A") + C = bmat([[A, A], [A, A]]) + D = np.array([[1, 2, 1, 2], + [3, 4, 3, 4], + [1, 2, 1, 2], + [3, 4, 3, 4]]) + assert_(np.all(B.A == D)) + assert_(np.all(C.A == D)) + + E = np.array([[5, 6], [7, 8]]) + AEresult = matrix([[1, 2, 5, 6], [3, 4, 7, 8]]) + assert_(np.all(bmat([A, E]) == AEresult)) + + vec = np.arange(5) + mvec = matrix(vec) + assert_(mvec.shape == (1, 5)) + + def test_exceptions(self): + # Check for ValueError when called with invalid string data. + assert_raises(ValueError, matrix, "invalid") + + def test_bmat_nondefault_str(self): + A = np.array([[1, 2], [3, 4]]) + B = np.array([[5, 6], [7, 8]]) + Aresult = np.array([[1, 2, 1, 2], + [3, 4, 3, 4], + [1, 2, 1, 2], + [3, 4, 3, 4]]) + mixresult = np.array([[1, 2, 5, 6], + [3, 4, 7, 8], + [5, 6, 1, 2], + [7, 8, 3, 4]]) + assert_(np.all(bmat("A,A;A,A") == Aresult)) + assert_(np.all(bmat("A,A;A,A", ldict={'A':B}) == Aresult)) + assert_raises(TypeError, bmat, "A,A;A,A", gdict={'A':B}) + assert_( + np.all(bmat("A,A;A,A", ldict={'A':A}, gdict={'A':B}) == Aresult)) + b2 = bmat("A,B;C,D", ldict={'A':A,'B':B}, gdict={'C':B,'D':A}) + assert_(np.all(b2 == mixresult)) + + +class TestProperties: + def test_sum(self): + """Test whether matrix.sum(axis=1) preserves orientation. + Fails in NumPy <= 0.9.6.2127. + """ + M = matrix([[1, 2, 0, 0], + [3, 4, 0, 0], + [1, 2, 1, 2], + [3, 4, 3, 4]]) + sum0 = matrix([8, 12, 4, 6]) + sum1 = matrix([3, 7, 6, 14]).T + sumall = 30 + assert_array_equal(sum0, M.sum(axis=0)) + assert_array_equal(sum1, M.sum(axis=1)) + assert_equal(sumall, M.sum()) + + assert_array_equal(sum0, np.sum(M, axis=0)) + assert_array_equal(sum1, np.sum(M, axis=1)) + assert_equal(sumall, np.sum(M)) + + def test_prod(self): + x = matrix([[1, 2, 3], [4, 5, 6]]) + assert_equal(x.prod(), 720) + assert_equal(x.prod(0), matrix([[4, 10, 18]])) + assert_equal(x.prod(1), matrix([[6], [120]])) + + assert_equal(np.prod(x), 720) + assert_equal(np.prod(x, axis=0), matrix([[4, 10, 18]])) + assert_equal(np.prod(x, axis=1), matrix([[6], [120]])) + + y = matrix([0, 1, 3]) + assert_(y.prod() == 0) + + def test_max(self): + x = matrix([[1, 2, 3], [4, 5, 6]]) + assert_equal(x.max(), 6) + assert_equal(x.max(0), matrix([[4, 5, 6]])) + assert_equal(x.max(1), matrix([[3], [6]])) + + assert_equal(np.max(x), 6) + assert_equal(np.max(x, axis=0), matrix([[4, 5, 6]])) + assert_equal(np.max(x, axis=1), matrix([[3], [6]])) + + def test_min(self): + x = matrix([[1, 2, 3], [4, 5, 6]]) + assert_equal(x.min(), 1) + assert_equal(x.min(0), matrix([[1, 2, 3]])) + assert_equal(x.min(1), matrix([[1], [4]])) + + assert_equal(np.min(x), 1) + assert_equal(np.min(x, axis=0), matrix([[1, 2, 3]])) + assert_equal(np.min(x, axis=1), matrix([[1], [4]])) + + def test_ptp(self): + x = np.arange(4).reshape((2, 2)) + assert_(x.ptp() == 3) + assert_(np.all(x.ptp(0) == np.array([2, 2]))) + assert_(np.all(x.ptp(1) == np.array([1, 1]))) + + def test_var(self): + x = np.arange(9).reshape((3, 3)) + mx = x.view(np.matrix) + assert_equal(x.var(ddof=0), mx.var(ddof=0)) + assert_equal(x.var(ddof=1), mx.var(ddof=1)) + + def test_basic(self): + import numpy.linalg as linalg + + A = np.array([[1., 2.], + [3., 4.]]) + mA = matrix(A) + assert_(np.allclose(linalg.inv(A), mA.I)) + assert_(np.all(np.array(np.transpose(A) == mA.T))) + assert_(np.all(np.array(np.transpose(A) == mA.H))) + assert_(np.all(A == mA.A)) + + B = A + 2j*A + mB = matrix(B) + assert_(np.allclose(linalg.inv(B), mB.I)) + assert_(np.all(np.array(np.transpose(B) == mB.T))) + assert_(np.all(np.array(np.transpose(B).conj() == mB.H))) + + def test_pinv(self): + x = matrix(np.arange(6).reshape(2, 3)) + xpinv = matrix([[-0.77777778, 0.27777778], + [-0.11111111, 0.11111111], + [ 0.55555556, -0.05555556]]) + assert_almost_equal(x.I, xpinv) + + def test_comparisons(self): + A = np.arange(100).reshape(10, 10) + mA = matrix(A) + mB = matrix(A) + 0.1 + assert_(np.all(mB == A+0.1)) + assert_(np.all(mB == matrix(A+0.1))) + assert_(not np.any(mB == matrix(A-0.1))) + assert_(np.all(mA < mB)) + assert_(np.all(mA <= mB)) + assert_(np.all(mA <= mA)) + assert_(not np.any(mA < mA)) + + assert_(not np.any(mB < mA)) + assert_(np.all(mB >= mA)) + assert_(np.all(mB >= mB)) + assert_(not np.any(mB > mB)) + + assert_(np.all(mA == mA)) + assert_(not np.any(mA == mB)) + assert_(np.all(mB != mA)) + + assert_(not np.all(abs(mA) > 0)) + assert_(np.all(abs(mB > 0))) + + def test_asmatrix(self): + A = np.arange(100).reshape(10, 10) + mA = asmatrix(A) + A[0, 0] = -10 + assert_(A[0, 0] == mA[0, 0]) + + def test_noaxis(self): + A = matrix([[1, 0], [0, 1]]) + assert_(A.sum() == matrix(2)) + assert_(A.mean() == matrix(0.5)) + + def test_repr(self): + A = matrix([[1, 0], [0, 1]]) + assert_(repr(A) == "matrix([[1, 0],\n [0, 1]])") + + def test_make_bool_matrix_from_str(self): + A = matrix('True; True; False') + B = matrix([[True], [True], [False]]) + assert_array_equal(A, B) + +class TestCasting: + def test_basic(self): + A = np.arange(100).reshape(10, 10) + mA = matrix(A) + + mB = mA.copy() + O = np.ones((10, 10), np.float64) * 0.1 + mB = mB + O + assert_(mB.dtype.type == np.float64) + assert_(np.all(mA != mB)) + assert_(np.all(mB == mA+0.1)) + + mC = mA.copy() + O = np.ones((10, 10), np.complex128) + mC = mC * O + assert_(mC.dtype.type == np.complex128) + assert_(np.all(mA != mB)) + + +class TestAlgebra: + def test_basic(self): + import numpy.linalg as linalg + + A = np.array([[1., 2.], [3., 4.]]) + mA = matrix(A) + + B = np.identity(2) + for i in range(6): + assert_(np.allclose((mA ** i).A, B)) + B = np.dot(B, A) + + Ainv = linalg.inv(A) + B = np.identity(2) + for i in range(6): + assert_(np.allclose((mA ** -i).A, B)) + B = np.dot(B, Ainv) + + assert_(np.allclose((mA * mA).A, np.dot(A, A))) + assert_(np.allclose((mA + mA).A, (A + A))) + assert_(np.allclose((3*mA).A, (3*A))) + + mA2 = matrix(A) + mA2 *= 3 + assert_(np.allclose(mA2.A, 3*A)) + + def test_pow(self): + """Test raising a matrix to an integer power works as expected.""" + m = matrix("1. 2.; 3. 4.") + m2 = m.copy() + m2 **= 2 + mi = m.copy() + mi **= -1 + m4 = m2.copy() + m4 **= 2 + assert_array_almost_equal(m2, m**2) + assert_array_almost_equal(m4, np.dot(m2, m2)) + assert_array_almost_equal(np.dot(mi, m), np.eye(2)) + + def test_scalar_type_pow(self): + m = matrix([[1, 2], [3, 4]]) + for scalar_t in [np.int8, np.uint8]: + two = scalar_t(2) + assert_array_almost_equal(m ** 2, m ** two) + + def test_notimplemented(self): + '''Check that 'not implemented' operations produce a failure.''' + A = matrix([[1., 2.], + [3., 4.]]) + + # __rpow__ + with assert_raises(TypeError): + 1.0**A + + # __mul__ with something not a list, ndarray, tuple, or scalar + with assert_raises(TypeError): + A*object() + + +class TestMatrixReturn: + def test_instance_methods(self): + a = matrix([1.0], dtype='f8') + methodargs = { + 'astype': ('intc',), + 'clip': (0.0, 1.0), + 'compress': ([1],), + 'repeat': (1,), + 'reshape': (1,), + 'swapaxes': (0, 0), + 'dot': np.array([1.0]), + } + excluded_methods = [ + 'argmin', 'choose', 'dump', 'dumps', 'fill', 'getfield', + 'getA', 'getA1', 'item', 'nonzero', 'put', 'putmask', 'resize', + 'searchsorted', 'setflags', 'setfield', 'sort', + 'partition', 'argpartition', + 'take', 'tofile', 'tolist', 'tostring', 'tobytes', 'all', 'any', + 'sum', 'argmax', 'argmin', 'min', 'max', 'mean', 'var', 'ptp', + 'prod', 'std', 'ctypes', 'itemset', + ] + for attrib in dir(a): + if attrib.startswith('_') or attrib in excluded_methods: + continue + f = getattr(a, attrib) + if isinstance(f, collections.abc.Callable): + # reset contents of a + a.astype('f8') + a.fill(1.0) + if attrib in methodargs: + args = methodargs[attrib] + else: + args = () + b = f(*args) + assert_(type(b) is matrix, "%s" % attrib) + assert_(type(a.real) is matrix) + assert_(type(a.imag) is matrix) + c, d = matrix([0.0]).nonzero() + assert_(type(c) is np.ndarray) + assert_(type(d) is np.ndarray) + + +class TestIndexing: + def test_basic(self): + x = asmatrix(np.zeros((3, 2), float)) + y = np.zeros((3, 1), float) + y[:, 0] = [0.8, 0.2, 0.3] + x[:, 1] = y > 0.5 + assert_equal(x, [[0, 1], [0, 0], [0, 0]]) + + +class TestNewScalarIndexing: + a = matrix([[1, 2], [3, 4]]) + + def test_dimesions(self): + a = self.a + x = a[0] + assert_equal(x.ndim, 2) + + def test_array_from_matrix_list(self): + a = self.a + x = np.array([a, a]) + assert_equal(x.shape, [2, 2, 2]) + + def test_array_to_list(self): + a = self.a + assert_equal(a.tolist(), [[1, 2], [3, 4]]) + + def test_fancy_indexing(self): + a = self.a + x = a[1, [0, 1, 0]] + assert_(isinstance(x, matrix)) + assert_equal(x, matrix([[3, 4, 3]])) + x = a[[1, 0]] + assert_(isinstance(x, matrix)) + assert_equal(x, matrix([[3, 4], [1, 2]])) + x = a[[[1], [0]], [[1, 0], [0, 1]]] + assert_(isinstance(x, matrix)) + assert_equal(x, matrix([[4, 3], [1, 2]])) + + def test_matrix_element(self): + x = matrix([[1, 2, 3], [4, 5, 6]]) + assert_equal(x[0][0], matrix([[1, 2, 3]])) + assert_equal(x[0][0].shape, (1, 3)) + assert_equal(x[0].shape, (1, 3)) + assert_equal(x[:, 0].shape, (2, 1)) + + x = matrix(0) + assert_equal(x[0, 0], 0) + assert_equal(x[0], 0) + assert_equal(x[:, 0].shape, x.shape) + + def test_scalar_indexing(self): + x = asmatrix(np.zeros((3, 2), float)) + assert_equal(x[0, 0], x[0][0]) + + def test_row_column_indexing(self): + x = asmatrix(np.eye(2)) + assert_array_equal(x[0,:], [[1, 0]]) + assert_array_equal(x[1,:], [[0, 1]]) + assert_array_equal(x[:, 0], [[1], [0]]) + assert_array_equal(x[:, 1], [[0], [1]]) + + def test_boolean_indexing(self): + A = np.arange(6) + A.shape = (3, 2) + x = asmatrix(A) + assert_array_equal(x[:, np.array([True, False])], x[:, 0]) + assert_array_equal(x[np.array([True, False, False]),:], x[0,:]) + + def test_list_indexing(self): + A = np.arange(6) + A.shape = (3, 2) + x = asmatrix(A) + assert_array_equal(x[:, [1, 0]], x[:, ::-1]) + assert_array_equal(x[[2, 1, 0],:], x[::-1,:]) + + +class TestPower: + def test_returntype(self): + a = np.array([[0, 1], [0, 0]]) + assert_(type(matrix_power(a, 2)) is np.ndarray) + a = mat(a) + assert_(type(matrix_power(a, 2)) is matrix) + + def test_list(self): + assert_array_equal(matrix_power([[0, 1], [0, 0]], 2), [[0, 0], [0, 0]]) + + +class TestShape: + + a = np.array([[1], [2]]) + m = matrix([[1], [2]]) + + def test_shape(self): + assert_equal(self.a.shape, (2, 1)) + assert_equal(self.m.shape, (2, 1)) + + def test_numpy_ravel(self): + assert_equal(np.ravel(self.a).shape, (2,)) + assert_equal(np.ravel(self.m).shape, (2,)) + + def test_member_ravel(self): + assert_equal(self.a.ravel().shape, (2,)) + assert_equal(self.m.ravel().shape, (1, 2)) + + def test_member_flatten(self): + assert_equal(self.a.flatten().shape, (2,)) + assert_equal(self.m.flatten().shape, (1, 2)) + + def test_numpy_ravel_order(self): + x = np.array([[1, 2, 3], [4, 5, 6]]) + assert_equal(np.ravel(x), [1, 2, 3, 4, 5, 6]) + assert_equal(np.ravel(x, order='F'), [1, 4, 2, 5, 3, 6]) + assert_equal(np.ravel(x.T), [1, 4, 2, 5, 3, 6]) + assert_equal(np.ravel(x.T, order='A'), [1, 2, 3, 4, 5, 6]) + x = matrix([[1, 2, 3], [4, 5, 6]]) + assert_equal(np.ravel(x), [1, 2, 3, 4, 5, 6]) + assert_equal(np.ravel(x, order='F'), [1, 4, 2, 5, 3, 6]) + assert_equal(np.ravel(x.T), [1, 4, 2, 5, 3, 6]) + assert_equal(np.ravel(x.T, order='A'), [1, 2, 3, 4, 5, 6]) + + def test_matrix_ravel_order(self): + x = matrix([[1, 2, 3], [4, 5, 6]]) + assert_equal(x.ravel(), [[1, 2, 3, 4, 5, 6]]) + assert_equal(x.ravel(order='F'), [[1, 4, 2, 5, 3, 6]]) + assert_equal(x.T.ravel(), [[1, 4, 2, 5, 3, 6]]) + assert_equal(x.T.ravel(order='A'), [[1, 2, 3, 4, 5, 6]]) + + def test_array_memory_sharing(self): + assert_(np.may_share_memory(self.a, self.a.ravel())) + assert_(not np.may_share_memory(self.a, self.a.flatten())) + + def test_matrix_memory_sharing(self): + assert_(np.may_share_memory(self.m, self.m.ravel())) + assert_(not np.may_share_memory(self.m, self.m.flatten())) + + def test_expand_dims_matrix(self): + # matrices are always 2d - so expand_dims only makes sense when the + # type is changed away from matrix. + a = np.arange(10).reshape((2, 5)).view(np.matrix) + expanded = np.expand_dims(a, axis=1) + assert_equal(expanded.ndim, 3) + assert_(not isinstance(expanded, np.matrix)) diff --git a/lib/python3.12/site-packages/numpy/matrixlib/tests/test_interaction.py b/lib/python3.12/site-packages/numpy/matrixlib/tests/test_interaction.py new file mode 100644 index 0000000000000000000000000000000000000000..5154bd621c61d7c081630c4659f74d70059e1746 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/matrixlib/tests/test_interaction.py @@ -0,0 +1,354 @@ +"""Tests of interaction of matrix with other parts of numpy. + +Note that tests with MaskedArray and linalg are done in separate files. +""" +import pytest + +import textwrap +import warnings + +import numpy as np +from numpy.testing import (assert_, assert_equal, assert_raises, + assert_raises_regex, assert_array_equal, + assert_almost_equal, assert_array_almost_equal) + + +def test_fancy_indexing(): + # The matrix class messes with the shape. While this is always + # weird (getitem is not used, it does not have setitem nor knows + # about fancy indexing), this tests gh-3110 + # 2018-04-29: moved here from core.tests.test_index. + m = np.matrix([[1, 2], [3, 4]]) + + assert_(isinstance(m[[0, 1, 0], :], np.matrix)) + + # gh-3110. Note the transpose currently because matrices do *not* + # support dimension fixing for fancy indexing correctly. + x = np.asmatrix(np.arange(50).reshape(5, 10)) + assert_equal(x[:2, np.array(-1)], x[:2, -1].T) + + +def test_polynomial_mapdomain(): + # test that polynomial preserved matrix subtype. + # 2018-04-29: moved here from polynomial.tests.polyutils. + dom1 = [0, 4] + dom2 = [1, 3] + x = np.matrix([dom1, dom1]) + res = np.polynomial.polyutils.mapdomain(x, dom1, dom2) + assert_(isinstance(res, np.matrix)) + + +def test_sort_matrix_none(): + # 2018-04-29: moved here from core.tests.test_multiarray + a = np.matrix([[2, 1, 0]]) + actual = np.sort(a, axis=None) + expected = np.matrix([[0, 1, 2]]) + assert_equal(actual, expected) + assert_(type(expected) is np.matrix) + + +def test_partition_matrix_none(): + # gh-4301 + # 2018-04-29: moved here from core.tests.test_multiarray + a = np.matrix([[2, 1, 0]]) + actual = np.partition(a, 1, axis=None) + expected = np.matrix([[0, 1, 2]]) + assert_equal(actual, expected) + assert_(type(expected) is np.matrix) + + +def test_dot_scalar_and_matrix_of_objects(): + # Ticket #2469 + # 2018-04-29: moved here from core.tests.test_multiarray + arr = np.matrix([1, 2], dtype=object) + desired = np.matrix([[3, 6]], dtype=object) + assert_equal(np.dot(arr, 3), desired) + assert_equal(np.dot(3, arr), desired) + + +def test_inner_scalar_and_matrix(): + # 2018-04-29: moved here from core.tests.test_multiarray + for dt in np.typecodes['AllInteger'] + np.typecodes['AllFloat'] + '?': + sca = np.array(3, dtype=dt)[()] + arr = np.matrix([[1, 2], [3, 4]], dtype=dt) + desired = np.matrix([[3, 6], [9, 12]], dtype=dt) + assert_equal(np.inner(arr, sca), desired) + assert_equal(np.inner(sca, arr), desired) + + +def test_inner_scalar_and_matrix_of_objects(): + # Ticket #4482 + # 2018-04-29: moved here from core.tests.test_multiarray + arr = np.matrix([1, 2], dtype=object) + desired = np.matrix([[3, 6]], dtype=object) + assert_equal(np.inner(arr, 3), desired) + assert_equal(np.inner(3, arr), desired) + + +def test_iter_allocate_output_subtype(): + # Make sure that the subtype with priority wins + # 2018-04-29: moved here from core.tests.test_nditer, given the + # matrix specific shape test. + + # matrix vs ndarray + a = np.matrix([[1, 2], [3, 4]]) + b = np.arange(4).reshape(2, 2).T + i = np.nditer([a, b, None], [], + [['readonly'], ['readonly'], ['writeonly', 'allocate']]) + assert_(type(i.operands[2]) is np.matrix) + assert_(type(i.operands[2]) is not np.ndarray) + assert_equal(i.operands[2].shape, (2, 2)) + + # matrix always wants things to be 2D + b = np.arange(4).reshape(1, 2, 2) + assert_raises(RuntimeError, np.nditer, [a, b, None], [], + [['readonly'], ['readonly'], ['writeonly', 'allocate']]) + # but if subtypes are disabled, the result can still work + i = np.nditer([a, b, None], [], + [['readonly'], ['readonly'], + ['writeonly', 'allocate', 'no_subtype']]) + assert_(type(i.operands[2]) is np.ndarray) + assert_(type(i.operands[2]) is not np.matrix) + assert_equal(i.operands[2].shape, (1, 2, 2)) + + +def like_function(): + # 2018-04-29: moved here from core.tests.test_numeric + a = np.matrix([[1, 2], [3, 4]]) + for like_function in np.zeros_like, np.ones_like, np.empty_like: + b = like_function(a) + assert_(type(b) is np.matrix) + + c = like_function(a, subok=False) + assert_(type(c) is not np.matrix) + + +def test_array_astype(): + # 2018-04-29: copied here from core.tests.test_api + # subok=True passes through a matrix + a = np.matrix([[0, 1, 2], [3, 4, 5]], dtype='f4') + b = a.astype('f4', subok=True, copy=False) + assert_(a is b) + + # subok=True is default, and creates a subtype on a cast + b = a.astype('i4', copy=False) + assert_equal(a, b) + assert_equal(type(b), np.matrix) + + # subok=False never returns a matrix + b = a.astype('f4', subok=False, copy=False) + assert_equal(a, b) + assert_(not (a is b)) + assert_(type(b) is not np.matrix) + + +def test_stack(): + # 2018-04-29: copied here from core.tests.test_shape_base + # check np.matrix cannot be stacked + m = np.matrix([[1, 2], [3, 4]]) + assert_raises_regex(ValueError, 'shape too large to be a matrix', + np.stack, [m, m]) + + +def test_object_scalar_multiply(): + # Tickets #2469 and #4482 + # 2018-04-29: moved here from core.tests.test_ufunc + arr = np.matrix([1, 2], dtype=object) + desired = np.matrix([[3, 6]], dtype=object) + assert_equal(np.multiply(arr, 3), desired) + assert_equal(np.multiply(3, arr), desired) + + +def test_nanfunctions_matrices(): + # Check that it works and that type and + # shape are preserved + # 2018-04-29: moved here from core.tests.test_nanfunctions + mat = np.matrix(np.eye(3)) + for f in [np.nanmin, np.nanmax]: + res = f(mat, axis=0) + assert_(isinstance(res, np.matrix)) + assert_(res.shape == (1, 3)) + res = f(mat, axis=1) + assert_(isinstance(res, np.matrix)) + assert_(res.shape == (3, 1)) + res = f(mat) + assert_(np.isscalar(res)) + # check that rows of nan are dealt with for subclasses (#4628) + mat[1] = np.nan + for f in [np.nanmin, np.nanmax]: + with warnings.catch_warnings(record=True) as w: + warnings.simplefilter('always') + res = f(mat, axis=0) + assert_(isinstance(res, np.matrix)) + assert_(not np.any(np.isnan(res))) + assert_(len(w) == 0) + + with warnings.catch_warnings(record=True) as w: + warnings.simplefilter('always') + res = f(mat, axis=1) + assert_(isinstance(res, np.matrix)) + assert_(np.isnan(res[1, 0]) and not np.isnan(res[0, 0]) + and not np.isnan(res[2, 0])) + assert_(len(w) == 1, 'no warning raised') + assert_(issubclass(w[0].category, RuntimeWarning)) + + with warnings.catch_warnings(record=True) as w: + warnings.simplefilter('always') + res = f(mat) + assert_(np.isscalar(res)) + assert_(res != np.nan) + assert_(len(w) == 0) + + +def test_nanfunctions_matrices_general(): + # Check that it works and that type and + # shape are preserved + # 2018-04-29: moved here from core.tests.test_nanfunctions + mat = np.matrix(np.eye(3)) + for f in (np.nanargmin, np.nanargmax, np.nansum, np.nanprod, + np.nanmean, np.nanvar, np.nanstd): + res = f(mat, axis=0) + assert_(isinstance(res, np.matrix)) + assert_(res.shape == (1, 3)) + res = f(mat, axis=1) + assert_(isinstance(res, np.matrix)) + assert_(res.shape == (3, 1)) + res = f(mat) + assert_(np.isscalar(res)) + + for f in np.nancumsum, np.nancumprod: + res = f(mat, axis=0) + assert_(isinstance(res, np.matrix)) + assert_(res.shape == (3, 3)) + res = f(mat, axis=1) + assert_(isinstance(res, np.matrix)) + assert_(res.shape == (3, 3)) + res = f(mat) + assert_(isinstance(res, np.matrix)) + assert_(res.shape == (1, 3*3)) + + +def test_average_matrix(): + # 2018-04-29: moved here from core.tests.test_function_base. + y = np.matrix(np.random.rand(5, 5)) + assert_array_equal(y.mean(0), np.average(y, 0)) + + a = np.matrix([[1, 2], [3, 4]]) + w = np.matrix([[1, 2], [3, 4]]) + + r = np.average(a, axis=0, weights=w) + assert_equal(type(r), np.matrix) + assert_equal(r, [[2.5, 10.0/3]]) + + +def test_trapz_matrix(): + # Test to make sure matrices give the same answer as ndarrays + # 2018-04-29: moved here from core.tests.test_function_base. + x = np.linspace(0, 5) + y = x * x + r = np.trapz(y, x) + mx = np.matrix(x) + my = np.matrix(y) + mr = np.trapz(my, mx) + assert_almost_equal(mr, r) + + +def test_ediff1d_matrix(): + # 2018-04-29: moved here from core.tests.test_arraysetops. + assert(isinstance(np.ediff1d(np.matrix(1)), np.matrix)) + assert(isinstance(np.ediff1d(np.matrix(1), to_begin=1), np.matrix)) + + +def test_apply_along_axis_matrix(): + # this test is particularly malicious because matrix + # refuses to become 1d + # 2018-04-29: moved here from core.tests.test_shape_base. + def double(row): + return row * 2 + + m = np.matrix([[0, 1], [2, 3]]) + expected = np.matrix([[0, 2], [4, 6]]) + + result = np.apply_along_axis(double, 0, m) + assert_(isinstance(result, np.matrix)) + assert_array_equal(result, expected) + + result = np.apply_along_axis(double, 1, m) + assert_(isinstance(result, np.matrix)) + assert_array_equal(result, expected) + + +def test_kron_matrix(): + # 2018-04-29: moved here from core.tests.test_shape_base. + a = np.ones([2, 2]) + m = np.asmatrix(a) + assert_equal(type(np.kron(a, a)), np.ndarray) + assert_equal(type(np.kron(m, m)), np.matrix) + assert_equal(type(np.kron(a, m)), np.matrix) + assert_equal(type(np.kron(m, a)), np.matrix) + + +class TestConcatenatorMatrix: + # 2018-04-29: moved here from core.tests.test_index_tricks. + def test_matrix(self): + a = [1, 2] + b = [3, 4] + + ab_r = np.r_['r', a, b] + ab_c = np.r_['c', a, b] + + assert_equal(type(ab_r), np.matrix) + assert_equal(type(ab_c), np.matrix) + + assert_equal(np.array(ab_r), [[1, 2, 3, 4]]) + assert_equal(np.array(ab_c), [[1], [2], [3], [4]]) + + assert_raises(ValueError, lambda: np.r_['rc', a, b]) + + def test_matrix_scalar(self): + r = np.r_['r', [1, 2], 3] + assert_equal(type(r), np.matrix) + assert_equal(np.array(r), [[1, 2, 3]]) + + def test_matrix_builder(self): + a = np.array([1]) + b = np.array([2]) + c = np.array([3]) + d = np.array([4]) + actual = np.r_['a, b; c, d'] + expected = np.bmat([[a, b], [c, d]]) + + assert_equal(actual, expected) + assert_equal(type(actual), type(expected)) + + +def test_array_equal_error_message_matrix(): + # 2018-04-29: moved here from testing.tests.test_utils. + with pytest.raises(AssertionError) as exc_info: + assert_equal(np.array([1, 2]), np.matrix([1, 2])) + msg = str(exc_info.value) + msg_reference = textwrap.dedent("""\ + + Arrays are not equal + + (shapes (2,), (1, 2) mismatch) + x: array([1, 2]) + y: matrix([[1, 2]])""") + assert_equal(msg, msg_reference) + + +def test_array_almost_equal_matrix(): + # Matrix slicing keeps things 2-D, while array does not necessarily. + # See gh-8452. + # 2018-04-29: moved here from testing.tests.test_utils. + m1 = np.matrix([[1., 2.]]) + m2 = np.matrix([[1., np.nan]]) + m3 = np.matrix([[1., -np.inf]]) + m4 = np.matrix([[np.nan, np.inf]]) + m5 = np.matrix([[1., 2.], [np.nan, np.inf]]) + for assert_func in assert_array_almost_equal, assert_almost_equal: + for m in m1, m2, m3, m4, m5: + assert_func(m, m) + a = np.array(m) + assert_func(a, m) + assert_func(m, a) diff --git a/lib/python3.12/site-packages/numpy/matrixlib/tests/test_masked_matrix.py b/lib/python3.12/site-packages/numpy/matrixlib/tests/test_masked_matrix.py new file mode 100644 index 0000000000000000000000000000000000000000..d0ce357aef2765ad72cd3a5f4d0ed48fc07463c1 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/matrixlib/tests/test_masked_matrix.py @@ -0,0 +1,231 @@ +import numpy as np +from numpy.testing import assert_warns +from numpy.ma.testutils import (assert_, assert_equal, assert_raises, + assert_array_equal) +from numpy.ma.core import (masked_array, masked_values, masked, allequal, + MaskType, getmask, MaskedArray, nomask, + log, add, hypot, divide) +from numpy.ma.extras import mr_ +from numpy.compat import pickle + + +class MMatrix(MaskedArray, np.matrix,): + + def __new__(cls, data, mask=nomask): + mat = np.matrix(data) + _data = MaskedArray.__new__(cls, data=mat, mask=mask) + return _data + + def __array_finalize__(self, obj): + np.matrix.__array_finalize__(self, obj) + MaskedArray.__array_finalize__(self, obj) + return + + @property + def _series(self): + _view = self.view(MaskedArray) + _view._sharedmask = False + return _view + + +class TestMaskedMatrix: + def test_matrix_indexing(self): + # Tests conversions and indexing + x1 = np.matrix([[1, 2, 3], [4, 3, 2]]) + x2 = masked_array(x1, mask=[[1, 0, 0], [0, 1, 0]]) + x3 = masked_array(x1, mask=[[0, 1, 0], [1, 0, 0]]) + x4 = masked_array(x1) + # test conversion to strings + str(x2) # raises? + repr(x2) # raises? + # tests of indexing + assert_(type(x2[1, 0]) is type(x1[1, 0])) + assert_(x1[1, 0] == x2[1, 0]) + assert_(x2[1, 1] is masked) + assert_equal(x1[0, 2], x2[0, 2]) + assert_equal(x1[0, 1:], x2[0, 1:]) + assert_equal(x1[:, 2], x2[:, 2]) + assert_equal(x1[:], x2[:]) + assert_equal(x1[1:], x3[1:]) + x1[0, 2] = 9 + x2[0, 2] = 9 + assert_equal(x1, x2) + x1[0, 1:] = 99 + x2[0, 1:] = 99 + assert_equal(x1, x2) + x2[0, 1] = masked + assert_equal(x1, x2) + x2[0, 1:] = masked + assert_equal(x1, x2) + x2[0, :] = x1[0, :] + x2[0, 1] = masked + assert_(allequal(getmask(x2), np.array([[0, 1, 0], [0, 1, 0]]))) + x3[1, :] = masked_array([1, 2, 3], [1, 1, 0]) + assert_(allequal(getmask(x3)[1], masked_array([1, 1, 0]))) + assert_(allequal(getmask(x3[1]), masked_array([1, 1, 0]))) + x4[1, :] = masked_array([1, 2, 3], [1, 1, 0]) + assert_(allequal(getmask(x4[1]), masked_array([1, 1, 0]))) + assert_(allequal(x4[1], masked_array([1, 2, 3]))) + x1 = np.matrix(np.arange(5) * 1.0) + x2 = masked_values(x1, 3.0) + assert_equal(x1, x2) + assert_(allequal(masked_array([0, 0, 0, 1, 0], dtype=MaskType), + x2.mask)) + assert_equal(3.0, x2.fill_value) + + def test_pickling_subbaseclass(self): + # Test pickling w/ a subclass of ndarray + a = masked_array(np.matrix(list(range(10))), mask=[1, 0, 1, 0, 0] * 2) + for proto in range(2, pickle.HIGHEST_PROTOCOL + 1): + a_pickled = pickle.loads(pickle.dumps(a, protocol=proto)) + assert_equal(a_pickled._mask, a._mask) + assert_equal(a_pickled, a) + assert_(isinstance(a_pickled._data, np.matrix)) + + def test_count_mean_with_matrix(self): + m = masked_array(np.matrix([[1, 2], [3, 4]]), mask=np.zeros((2, 2))) + + assert_equal(m.count(axis=0).shape, (1, 2)) + assert_equal(m.count(axis=1).shape, (2, 1)) + + # Make sure broadcasting inside mean and var work + assert_equal(m.mean(axis=0), [[2., 3.]]) + assert_equal(m.mean(axis=1), [[1.5], [3.5]]) + + def test_flat(self): + # Test that flat can return items even for matrices [#4585, #4615] + # test simple access + test = masked_array(np.matrix([[1, 2, 3]]), mask=[0, 0, 1]) + assert_equal(test.flat[1], 2) + assert_equal(test.flat[2], masked) + assert_(np.all(test.flat[0:2] == test[0, 0:2])) + # Test flat on masked_matrices + test = masked_array(np.matrix([[1, 2, 3]]), mask=[0, 0, 1]) + test.flat = masked_array([3, 2, 1], mask=[1, 0, 0]) + control = masked_array(np.matrix([[3, 2, 1]]), mask=[1, 0, 0]) + assert_equal(test, control) + # Test setting + test = masked_array(np.matrix([[1, 2, 3]]), mask=[0, 0, 1]) + testflat = test.flat + testflat[:] = testflat[[2, 1, 0]] + assert_equal(test, control) + testflat[0] = 9 + # test that matrices keep the correct shape (#4615) + a = masked_array(np.matrix(np.eye(2)), mask=0) + b = a.flat + b01 = b[:2] + assert_equal(b01.data, np.array([[1., 0.]])) + assert_equal(b01.mask, np.array([[False, False]])) + + def test_allany_onmatrices(self): + x = np.array([[0.13, 0.26, 0.90], + [0.28, 0.33, 0.63], + [0.31, 0.87, 0.70]]) + X = np.matrix(x) + m = np.array([[True, False, False], + [False, False, False], + [True, True, False]], dtype=np.bool_) + mX = masked_array(X, mask=m) + mXbig = (mX > 0.5) + mXsmall = (mX < 0.5) + + assert_(not mXbig.all()) + assert_(mXbig.any()) + assert_equal(mXbig.all(0), np.matrix([False, False, True])) + assert_equal(mXbig.all(1), np.matrix([False, False, True]).T) + assert_equal(mXbig.any(0), np.matrix([False, False, True])) + assert_equal(mXbig.any(1), np.matrix([True, True, True]).T) + + assert_(not mXsmall.all()) + assert_(mXsmall.any()) + assert_equal(mXsmall.all(0), np.matrix([True, True, False])) + assert_equal(mXsmall.all(1), np.matrix([False, False, False]).T) + assert_equal(mXsmall.any(0), np.matrix([True, True, False])) + assert_equal(mXsmall.any(1), np.matrix([True, True, False]).T) + + def test_compressed(self): + a = masked_array(np.matrix([1, 2, 3, 4]), mask=[0, 0, 0, 0]) + b = a.compressed() + assert_equal(b, a) + assert_(isinstance(b, np.matrix)) + a[0, 0] = masked + b = a.compressed() + assert_equal(b, [[2, 3, 4]]) + + def test_ravel(self): + a = masked_array(np.matrix([1, 2, 3, 4, 5]), mask=[[0, 1, 0, 0, 0]]) + aravel = a.ravel() + assert_equal(aravel.shape, (1, 5)) + assert_equal(aravel._mask.shape, a.shape) + + def test_view(self): + # Test view w/ flexible dtype + iterator = list(zip(np.arange(10), np.random.rand(10))) + data = np.array(iterator) + a = masked_array(iterator, dtype=[('a', float), ('b', float)]) + a.mask[0] = (1, 0) + test = a.view((float, 2), np.matrix) + assert_equal(test, data) + assert_(isinstance(test, np.matrix)) + assert_(not isinstance(test, MaskedArray)) + + +class TestSubclassing: + # Test suite for masked subclasses of ndarray. + + def setup_method(self): + x = np.arange(5, dtype='float') + mx = MMatrix(x, mask=[0, 1, 0, 0, 0]) + self.data = (x, mx) + + def test_maskedarray_subclassing(self): + # Tests subclassing MaskedArray + (x, mx) = self.data + assert_(isinstance(mx._data, np.matrix)) + + def test_masked_unary_operations(self): + # Tests masked_unary_operation + (x, mx) = self.data + with np.errstate(divide='ignore'): + assert_(isinstance(log(mx), MMatrix)) + assert_equal(log(x), np.log(x)) + + def test_masked_binary_operations(self): + # Tests masked_binary_operation + (x, mx) = self.data + # Result should be a MMatrix + assert_(isinstance(add(mx, mx), MMatrix)) + assert_(isinstance(add(mx, x), MMatrix)) + # Result should work + assert_equal(add(mx, x), mx+x) + assert_(isinstance(add(mx, mx)._data, np.matrix)) + with assert_warns(DeprecationWarning): + assert_(isinstance(add.outer(mx, mx), MMatrix)) + assert_(isinstance(hypot(mx, mx), MMatrix)) + assert_(isinstance(hypot(mx, x), MMatrix)) + + def test_masked_binary_operations2(self): + # Tests domained_masked_binary_operation + (x, mx) = self.data + xmx = masked_array(mx.data.__array__(), mask=mx.mask) + assert_(isinstance(divide(mx, mx), MMatrix)) + assert_(isinstance(divide(mx, x), MMatrix)) + assert_equal(divide(mx, mx), divide(xmx, xmx)) + +class TestConcatenator: + # Tests for mr_, the equivalent of r_ for masked arrays. + + def test_matrix_builder(self): + assert_raises(np.ma.MAError, lambda: mr_['1, 2; 3, 4']) + + def test_matrix(self): + # Test consistency with unmasked version. If we ever deprecate + # matrix, this test should either still pass, or both actual and + # expected should fail to be build. + actual = mr_['r', 1, 2, 3] + expected = np.ma.array(np.r_['r', 1, 2, 3]) + assert_array_equal(actual, expected) + + # outer type is masked array, inner type is matrix + assert_equal(type(actual), type(expected)) + assert_equal(type(actual.data), type(expected.data)) diff --git a/lib/python3.12/site-packages/numpy/matrixlib/tests/test_matrix_linalg.py b/lib/python3.12/site-packages/numpy/matrixlib/tests/test_matrix_linalg.py new file mode 100644 index 0000000000000000000000000000000000000000..106c2e38217a633829329a94df077c097fbcbf7a --- /dev/null +++ b/lib/python3.12/site-packages/numpy/matrixlib/tests/test_matrix_linalg.py @@ -0,0 +1,93 @@ +""" Test functions for linalg module using the matrix class.""" +import numpy as np + +from numpy.linalg.tests.test_linalg import ( + LinalgCase, apply_tag, TestQR as _TestQR, LinalgTestCase, + _TestNorm2D, _TestNormDoubleBase, _TestNormSingleBase, _TestNormInt64Base, + SolveCases, InvCases, EigvalsCases, EigCases, SVDCases, CondCases, + PinvCases, DetCases, LstsqCases) + + +CASES = [] + +# square test cases +CASES += apply_tag('square', [ + LinalgCase("0x0_matrix", + np.empty((0, 0), dtype=np.double).view(np.matrix), + np.empty((0, 1), dtype=np.double).view(np.matrix), + tags={'size-0'}), + LinalgCase("matrix_b_only", + np.array([[1., 2.], [3., 4.]]), + np.matrix([2., 1.]).T), + LinalgCase("matrix_a_and_b", + np.matrix([[1., 2.], [3., 4.]]), + np.matrix([2., 1.]).T), +]) + +# hermitian test-cases +CASES += apply_tag('hermitian', [ + LinalgCase("hmatrix_a_and_b", + np.matrix([[1., 2.], [2., 1.]]), + None), +]) +# No need to make generalized or strided cases for matrices. + + +class MatrixTestCase(LinalgTestCase): + TEST_CASES = CASES + + +class TestSolveMatrix(SolveCases, MatrixTestCase): + pass + + +class TestInvMatrix(InvCases, MatrixTestCase): + pass + + +class TestEigvalsMatrix(EigvalsCases, MatrixTestCase): + pass + + +class TestEigMatrix(EigCases, MatrixTestCase): + pass + + +class TestSVDMatrix(SVDCases, MatrixTestCase): + pass + + +class TestCondMatrix(CondCases, MatrixTestCase): + pass + + +class TestPinvMatrix(PinvCases, MatrixTestCase): + pass + + +class TestDetMatrix(DetCases, MatrixTestCase): + pass + + +class TestLstsqMatrix(LstsqCases, MatrixTestCase): + pass + + +class _TestNorm2DMatrix(_TestNorm2D): + array = np.matrix + + +class TestNormDoubleMatrix(_TestNorm2DMatrix, _TestNormDoubleBase): + pass + + +class TestNormSingleMatrix(_TestNorm2DMatrix, _TestNormSingleBase): + pass + + +class TestNormInt64Matrix(_TestNorm2DMatrix, _TestNormInt64Base): + pass + + +class TestQRMatrix(_TestQR): + array = np.matrix diff --git a/lib/python3.12/site-packages/numpy/matrixlib/tests/test_multiarray.py b/lib/python3.12/site-packages/numpy/matrixlib/tests/test_multiarray.py new file mode 100644 index 0000000000000000000000000000000000000000..638d0d1534deba060140ffda3b61950a0b4f815d --- /dev/null +++ b/lib/python3.12/site-packages/numpy/matrixlib/tests/test_multiarray.py @@ -0,0 +1,16 @@ +import numpy as np +from numpy.testing import assert_, assert_equal, assert_array_equal + +class TestView: + def test_type(self): + x = np.array([1, 2, 3]) + assert_(isinstance(x.view(np.matrix), np.matrix)) + + def test_keywords(self): + x = np.array([(1, 2)], dtype=[('a', np.int8), ('b', np.int8)]) + # We must be specific about the endianness here: + y = x.view(dtype='>> functions = [("test_bytes", "METH_O", \"\"\" + if ( !PyBytesCheck(args)) { + Py_RETURN_FALSE; + } + Py_RETURN_TRUE; + \"\"\")] + >>> mod = build_and_import_extension("testme", functions) + >>> assert not mod.test_bytes(u'abc') + >>> assert mod.test_bytes(b'abc') + """ + body = prologue + _make_methods(functions, modname) + init = """PyObject *mod = PyModule_Create(&moduledef); + """ + if not build_dir: + build_dir = pathlib.Path('.') + if more_init: + init += """#define INITERROR return NULL + """ + init += more_init + init += "\nreturn mod;" + source_string = _make_source(modname, init, body) + try: + mod_so = compile_extension_module( + modname, build_dir, include_dirs, source_string) + except Exception as e: + # shorten the exception chain + raise RuntimeError(f"could not compile in {build_dir}:") from e + import importlib.util + spec = importlib.util.spec_from_file_location(modname, mod_so) + foo = importlib.util.module_from_spec(spec) + spec.loader.exec_module(foo) + return foo + + +def compile_extension_module( + name, builddir, include_dirs, + source_string, libraries=[], library_dirs=[]): + """ + Build an extension module and return the filename of the resulting + native code file. + + Parameters + ---------- + name : string + name of the module, possibly including dots if it is a module inside a + package. + builddir : pathlib.Path + Where to build the module, usually a temporary directory + include_dirs : list + Extra directories to find include files when compiling + libraries : list + Libraries to link into the extension module + library_dirs: list + Where to find the libraries, ``-L`` passed to the linker + """ + modname = name.split('.')[-1] + dirname = builddir / name + dirname.mkdir(exist_ok=True) + cfile = _convert_str_to_file(source_string, dirname) + include_dirs = include_dirs + [sysconfig.get_config_var('INCLUDEPY')] + + return _c_compile( + cfile, outputfilename=dirname / modname, + include_dirs=include_dirs, libraries=[], library_dirs=[], + ) + + +def _convert_str_to_file(source, dirname): + """Helper function to create a file ``source.c`` in `dirname` that contains + the string in `source`. Returns the file name + """ + filename = dirname / 'source.c' + with filename.open('w') as f: + f.write(str(source)) + return filename + + +def _make_methods(functions, modname): + """ Turns the name, signature, code in functions into complete functions + and lists them in a methods_table. Then turns the methods_table into a + ``PyMethodDef`` structure and returns the resulting code fragment ready + for compilation + """ + methods_table = [] + codes = [] + for funcname, flags, code in functions: + cfuncname = "%s_%s" % (modname, funcname) + if 'METH_KEYWORDS' in flags: + signature = '(PyObject *self, PyObject *args, PyObject *kwargs)' + else: + signature = '(PyObject *self, PyObject *args)' + methods_table.append( + "{\"%s\", (PyCFunction)%s, %s}," % (funcname, cfuncname, flags)) + func_code = """ + static PyObject* {cfuncname}{signature} + {{ + {code} + }} + """.format(cfuncname=cfuncname, signature=signature, code=code) + codes.append(func_code) + + body = "\n".join(codes) + """ + static PyMethodDef methods[] = { + %(methods)s + { NULL } + }; + static struct PyModuleDef moduledef = { + PyModuleDef_HEAD_INIT, + "%(modname)s", /* m_name */ + NULL, /* m_doc */ + -1, /* m_size */ + methods, /* m_methods */ + }; + """ % dict(methods='\n'.join(methods_table), modname=modname) + return body + + +def _make_source(name, init, body): + """ Combines the code fragments into source code ready to be compiled + """ + code = """ + #include + + %(body)s + + PyMODINIT_FUNC + PyInit_%(name)s(void) { + %(init)s + } + """ % dict( + name=name, init=init, body=body, + ) + return code + + +def _c_compile(cfile, outputfilename, include_dirs=[], libraries=[], + library_dirs=[]): + if sys.platform == 'win32': + compile_extra = ["/we4013"] + link_extra = ["/LIBPATH:" + os.path.join(sys.base_prefix, 'libs')] + elif sys.platform.startswith('linux'): + compile_extra = [ + "-O0", "-g", "-Werror=implicit-function-declaration", "-fPIC"] + link_extra = [] + else: + compile_extra = link_extra = [] + pass + if sys.platform == 'win32': + link_extra = link_extra + ['/DEBUG'] # generate .pdb file + if sys.platform == 'darwin': + # support Fink & Darwinports + for s in ('/sw/', '/opt/local/'): + if (s + 'include' not in include_dirs + and os.path.exists(s + 'include')): + include_dirs.append(s + 'include') + if s + 'lib' not in library_dirs and os.path.exists(s + 'lib'): + library_dirs.append(s + 'lib') + + outputfilename = outputfilename.with_suffix(get_so_suffix()) + build( + cfile, outputfilename, + compile_extra, link_extra, + include_dirs, libraries, library_dirs) + return outputfilename + + +def build(cfile, outputfilename, compile_extra, link_extra, + include_dirs, libraries, library_dirs): + "use meson to build" + + build_dir = cfile.parent / "build" + os.makedirs(build_dir, exist_ok=True) + so_name = outputfilename.parts[-1] + with open(cfile.parent / "meson.build", "wt") as fid: + includes = ['-I' + d for d in include_dirs] + link_dirs = ['-L' + d for d in library_dirs] + fid.write(textwrap.dedent(f"""\ + project('foo', 'c') + shared_module('{so_name}', '{cfile.parts[-1]}', + c_args: {includes} + {compile_extra}, + link_args: {link_dirs} + {link_extra}, + link_with: {libraries}, + name_prefix: '', + name_suffix: 'dummy', + ) + """)) + if sys.platform == "win32": + subprocess.check_call(["meson", "setup", + "--buildtype=release", + "--vsenv", ".."], + cwd=build_dir, + ) + else: + subprocess.check_call(["meson", "setup", "--vsenv", ".."], + cwd=build_dir + ) + subprocess.check_call(["meson", "compile"], cwd=build_dir) + os.rename(str(build_dir / so_name) + ".dummy", cfile.parent / so_name) + +def get_so_suffix(): + ret = sysconfig.get_config_var('EXT_SUFFIX') + assert ret + return ret diff --git a/lib/python3.12/site-packages/numpy/testing/_private/utils.py b/lib/python3.12/site-packages/numpy/testing/_private/utils.py new file mode 100644 index 0000000000000000000000000000000000000000..28dd656c4a4d0aae97560e1858a7fdcc3c3a02b4 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/testing/_private/utils.py @@ -0,0 +1,2509 @@ +""" +Utility function to facilitate testing. + +""" +import os +import sys +import platform +import re +import gc +import operator +import warnings +from functools import partial, wraps +import shutil +import contextlib +from tempfile import mkdtemp, mkstemp +from unittest.case import SkipTest +from warnings import WarningMessage +import pprint +import sysconfig + +import numpy as np +from numpy.core import ( + intp, float32, empty, arange, array_repr, ndarray, isnat, array) +from numpy import isfinite, isnan, isinf +import numpy.linalg._umath_linalg + +from io import StringIO + +__all__ = [ + 'assert_equal', 'assert_almost_equal', 'assert_approx_equal', + 'assert_array_equal', 'assert_array_less', 'assert_string_equal', + 'assert_array_almost_equal', 'assert_raises', 'build_err_msg', + 'decorate_methods', 'jiffies', 'memusage', 'print_assert_equal', + 'rundocs', 'runstring', 'verbose', 'measure', + 'assert_', 'assert_array_almost_equal_nulp', 'assert_raises_regex', + 'assert_array_max_ulp', 'assert_warns', 'assert_no_warnings', + 'assert_allclose', 'IgnoreException', 'clear_and_catch_warnings', + 'SkipTest', 'KnownFailureException', 'temppath', 'tempdir', 'IS_PYPY', + 'HAS_REFCOUNT', "IS_WASM", 'suppress_warnings', 'assert_array_compare', + 'assert_no_gc_cycles', 'break_cycles', 'HAS_LAPACK64', 'IS_PYSTON', + '_OLD_PROMOTION', 'IS_MUSL', '_SUPPORTS_SVE' + ] + + +class KnownFailureException(Exception): + '''Raise this exception to mark a test as a known failing test.''' + pass + + +KnownFailureTest = KnownFailureException # backwards compat +verbose = 0 + +IS_WASM = platform.machine() in ["wasm32", "wasm64"] +IS_PYPY = sys.implementation.name == 'pypy' +IS_PYSTON = hasattr(sys, "pyston_version_info") +HAS_REFCOUNT = getattr(sys, 'getrefcount', None) is not None and not IS_PYSTON +HAS_LAPACK64 = numpy.linalg._umath_linalg._ilp64 + +_OLD_PROMOTION = lambda: np._get_promotion_state() == 'legacy' + +IS_MUSL = False +# alternate way is +# from packaging.tags import sys_tags +# _tags = list(sys_tags()) +# if 'musllinux' in _tags[0].platform: +_v = sysconfig.get_config_var('HOST_GNU_TYPE') or '' +if 'musl' in _v: + IS_MUSL = True + + +def assert_(val, msg=''): + """ + Assert that works in release mode. + Accepts callable msg to allow deferring evaluation until failure. + + The Python built-in ``assert`` does not work when executing code in + optimized mode (the ``-O`` flag) - no byte-code is generated for it. + + For documentation on usage, refer to the Python documentation. + + """ + __tracebackhide__ = True # Hide traceback for py.test + if not val: + try: + smsg = msg() + except TypeError: + smsg = msg + raise AssertionError(smsg) + + +if os.name == 'nt': + # Code "stolen" from enthought/debug/memusage.py + def GetPerformanceAttributes(object, counter, instance=None, + inum=-1, format=None, machine=None): + # NOTE: Many counters require 2 samples to give accurate results, + # including "% Processor Time" (as by definition, at any instant, a + # thread's CPU usage is either 0 or 100). To read counters like this, + # you should copy this function, but keep the counter open, and call + # CollectQueryData() each time you need to know. + # See http://msdn.microsoft.com/library/en-us/dnperfmo/html/perfmonpt2.asp (dead link) + # My older explanation for this was that the "AddCounter" process + # forced the CPU to 100%, but the above makes more sense :) + import win32pdh + if format is None: + format = win32pdh.PDH_FMT_LONG + path = win32pdh.MakeCounterPath( (machine, object, instance, None, + inum, counter)) + hq = win32pdh.OpenQuery() + try: + hc = win32pdh.AddCounter(hq, path) + try: + win32pdh.CollectQueryData(hq) + type, val = win32pdh.GetFormattedCounterValue(hc, format) + return val + finally: + win32pdh.RemoveCounter(hc) + finally: + win32pdh.CloseQuery(hq) + + def memusage(processName="python", instance=0): + # from win32pdhutil, part of the win32all package + import win32pdh + return GetPerformanceAttributes("Process", "Virtual Bytes", + processName, instance, + win32pdh.PDH_FMT_LONG, None) +elif sys.platform[:5] == 'linux': + + def memusage(_proc_pid_stat=f'/proc/{os.getpid()}/stat'): + """ + Return virtual memory size in bytes of the running python. + + """ + try: + with open(_proc_pid_stat) as f: + l = f.readline().split(' ') + return int(l[22]) + except Exception: + return +else: + def memusage(): + """ + Return memory usage of running python. [Not implemented] + + """ + raise NotImplementedError + + +if sys.platform[:5] == 'linux': + def jiffies(_proc_pid_stat=f'/proc/{os.getpid()}/stat', _load_time=[]): + """ + Return number of jiffies elapsed. + + Return number of jiffies (1/100ths of a second) that this + process has been scheduled in user mode. See man 5 proc. + + """ + import time + if not _load_time: + _load_time.append(time.time()) + try: + with open(_proc_pid_stat) as f: + l = f.readline().split(' ') + return int(l[13]) + except Exception: + return int(100*(time.time()-_load_time[0])) +else: + # os.getpid is not in all platforms available. + # Using time is safe but inaccurate, especially when process + # was suspended or sleeping. + def jiffies(_load_time=[]): + """ + Return number of jiffies elapsed. + + Return number of jiffies (1/100ths of a second) that this + process has been scheduled in user mode. See man 5 proc. + + """ + import time + if not _load_time: + _load_time.append(time.time()) + return int(100*(time.time()-_load_time[0])) + + +def build_err_msg(arrays, err_msg, header='Items are not equal:', + verbose=True, names=('ACTUAL', 'DESIRED'), precision=8): + msg = ['\n' + header] + if err_msg: + if err_msg.find('\n') == -1 and len(err_msg) < 79-len(header): + msg = [msg[0] + ' ' + err_msg] + else: + msg.append(err_msg) + if verbose: + for i, a in enumerate(arrays): + + if isinstance(a, ndarray): + # precision argument is only needed if the objects are ndarrays + r_func = partial(array_repr, precision=precision) + else: + r_func = repr + + try: + r = r_func(a) + except Exception as exc: + r = f'[repr failed for <{type(a).__name__}>: {exc}]' + if r.count('\n') > 3: + r = '\n'.join(r.splitlines()[:3]) + r += '...' + msg.append(f' {names[i]}: {r}') + return '\n'.join(msg) + + +def assert_equal(actual, desired, err_msg='', verbose=True): + """ + Raises an AssertionError if two objects are not equal. + + Given two objects (scalars, lists, tuples, dictionaries or numpy arrays), + check that all elements of these objects are equal. An exception is raised + at the first conflicting values. + + When one of `actual` and `desired` is a scalar and the other is array_like, + the function checks that each element of the array_like object is equal to + the scalar. + + This function handles NaN comparisons as if NaN was a "normal" number. + That is, AssertionError is not raised if both objects have NaNs in the same + positions. This is in contrast to the IEEE standard on NaNs, which says + that NaN compared to anything must return False. + + Parameters + ---------- + actual : array_like + The object to check. + desired : array_like + The expected object. + err_msg : str, optional + The error message to be printed in case of failure. + verbose : bool, optional + If True, the conflicting values are appended to the error message. + + Raises + ------ + AssertionError + If actual and desired are not equal. + + Examples + -------- + >>> np.testing.assert_equal([4,5], [4,6]) + Traceback (most recent call last): + ... + AssertionError: + Items are not equal: + item=1 + ACTUAL: 5 + DESIRED: 6 + + The following comparison does not raise an exception. There are NaNs + in the inputs, but they are in the same positions. + + >>> np.testing.assert_equal(np.array([1.0, 2.0, np.nan]), [1, 2, np.nan]) + + """ + __tracebackhide__ = True # Hide traceback for py.test + if isinstance(desired, dict): + if not isinstance(actual, dict): + raise AssertionError(repr(type(actual))) + assert_equal(len(actual), len(desired), err_msg, verbose) + for k, i in desired.items(): + if k not in actual: + raise AssertionError(repr(k)) + assert_equal(actual[k], desired[k], f'key={k!r}\n{err_msg}', + verbose) + return + if isinstance(desired, (list, tuple)) and isinstance(actual, (list, tuple)): + assert_equal(len(actual), len(desired), err_msg, verbose) + for k in range(len(desired)): + assert_equal(actual[k], desired[k], f'item={k!r}\n{err_msg}', + verbose) + return + from numpy.core import ndarray, isscalar, signbit + from numpy.lib import iscomplexobj, real, imag + if isinstance(actual, ndarray) or isinstance(desired, ndarray): + return assert_array_equal(actual, desired, err_msg, verbose) + msg = build_err_msg([actual, desired], err_msg, verbose=verbose) + + # Handle complex numbers: separate into real/imag to handle + # nan/inf/negative zero correctly + # XXX: catch ValueError for subclasses of ndarray where iscomplex fail + try: + usecomplex = iscomplexobj(actual) or iscomplexobj(desired) + except (ValueError, TypeError): + usecomplex = False + + if usecomplex: + if iscomplexobj(actual): + actualr = real(actual) + actuali = imag(actual) + else: + actualr = actual + actuali = 0 + if iscomplexobj(desired): + desiredr = real(desired) + desiredi = imag(desired) + else: + desiredr = desired + desiredi = 0 + try: + assert_equal(actualr, desiredr) + assert_equal(actuali, desiredi) + except AssertionError: + raise AssertionError(msg) + + # isscalar test to check cases such as [np.nan] != np.nan + if isscalar(desired) != isscalar(actual): + raise AssertionError(msg) + + try: + isdesnat = isnat(desired) + isactnat = isnat(actual) + dtypes_match = (np.asarray(desired).dtype.type == + np.asarray(actual).dtype.type) + if isdesnat and isactnat: + # If both are NaT (and have the same dtype -- datetime or + # timedelta) they are considered equal. + if dtypes_match: + return + else: + raise AssertionError(msg) + + except (TypeError, ValueError, NotImplementedError): + pass + + # Inf/nan/negative zero handling + try: + isdesnan = isnan(desired) + isactnan = isnan(actual) + if isdesnan and isactnan: + return # both nan, so equal + + # handle signed zero specially for floats + array_actual = np.asarray(actual) + array_desired = np.asarray(desired) + if (array_actual.dtype.char in 'Mm' or + array_desired.dtype.char in 'Mm'): + # version 1.18 + # until this version, isnan failed for datetime64 and timedelta64. + # Now it succeeds but comparison to scalar with a different type + # emits a DeprecationWarning. + # Avoid that by skipping the next check + raise NotImplementedError('cannot compare to a scalar ' + 'with a different type') + + if desired == 0 and actual == 0: + if not signbit(desired) == signbit(actual): + raise AssertionError(msg) + + except (TypeError, ValueError, NotImplementedError): + pass + + try: + # Explicitly use __eq__ for comparison, gh-2552 + if not (desired == actual): + raise AssertionError(msg) + + except (DeprecationWarning, FutureWarning) as e: + # this handles the case when the two types are not even comparable + if 'elementwise == comparison' in e.args[0]: + raise AssertionError(msg) + else: + raise + + +def print_assert_equal(test_string, actual, desired): + """ + Test if two objects are equal, and print an error message if test fails. + + The test is performed with ``actual == desired``. + + Parameters + ---------- + test_string : str + The message supplied to AssertionError. + actual : object + The object to test for equality against `desired`. + desired : object + The expected result. + + Examples + -------- + >>> np.testing.print_assert_equal('Test XYZ of func xyz', [0, 1], [0, 1]) + >>> np.testing.print_assert_equal('Test XYZ of func xyz', [0, 1], [0, 2]) + Traceback (most recent call last): + ... + AssertionError: Test XYZ of func xyz failed + ACTUAL: + [0, 1] + DESIRED: + [0, 2] + + """ + __tracebackhide__ = True # Hide traceback for py.test + import pprint + + if not (actual == desired): + msg = StringIO() + msg.write(test_string) + msg.write(' failed\nACTUAL: \n') + pprint.pprint(actual, msg) + msg.write('DESIRED: \n') + pprint.pprint(desired, msg) + raise AssertionError(msg.getvalue()) + + +@np._no_nep50_warning() +def assert_almost_equal(actual, desired, decimal=7, err_msg='', verbose=True): + """ + Raises an AssertionError if two items are not equal up to desired + precision. + + .. note:: It is recommended to use one of `assert_allclose`, + `assert_array_almost_equal_nulp` or `assert_array_max_ulp` + instead of this function for more consistent floating point + comparisons. + + The test verifies that the elements of `actual` and `desired` satisfy. + + ``abs(desired-actual) < float64(1.5 * 10**(-decimal))`` + + That is a looser test than originally documented, but agrees with what the + actual implementation in `assert_array_almost_equal` did up to rounding + vagaries. An exception is raised at conflicting values. For ndarrays this + delegates to assert_array_almost_equal + + Parameters + ---------- + actual : array_like + The object to check. + desired : array_like + The expected object. + decimal : int, optional + Desired precision, default is 7. + err_msg : str, optional + The error message to be printed in case of failure. + verbose : bool, optional + If True, the conflicting values are appended to the error message. + + Raises + ------ + AssertionError + If actual and desired are not equal up to specified precision. + + See Also + -------- + assert_allclose: Compare two array_like objects for equality with desired + relative and/or absolute precision. + assert_array_almost_equal_nulp, assert_array_max_ulp, assert_equal + + Examples + -------- + >>> from numpy.testing import assert_almost_equal + >>> assert_almost_equal(2.3333333333333, 2.33333334) + >>> assert_almost_equal(2.3333333333333, 2.33333334, decimal=10) + Traceback (most recent call last): + ... + AssertionError: + Arrays are not almost equal to 10 decimals + ACTUAL: 2.3333333333333 + DESIRED: 2.33333334 + + >>> assert_almost_equal(np.array([1.0,2.3333333333333]), + ... np.array([1.0,2.33333334]), decimal=9) + Traceback (most recent call last): + ... + AssertionError: + Arrays are not almost equal to 9 decimals + + Mismatched elements: 1 / 2 (50%) + Max absolute difference: 6.66669964e-09 + Max relative difference: 2.85715698e-09 + x: array([1. , 2.333333333]) + y: array([1. , 2.33333334]) + + """ + __tracebackhide__ = True # Hide traceback for py.test + from numpy.core import ndarray + from numpy.lib import iscomplexobj, real, imag + + # Handle complex numbers: separate into real/imag to handle + # nan/inf/negative zero correctly + # XXX: catch ValueError for subclasses of ndarray where iscomplex fail + try: + usecomplex = iscomplexobj(actual) or iscomplexobj(desired) + except ValueError: + usecomplex = False + + def _build_err_msg(): + header = ('Arrays are not almost equal to %d decimals' % decimal) + return build_err_msg([actual, desired], err_msg, verbose=verbose, + header=header) + + if usecomplex: + if iscomplexobj(actual): + actualr = real(actual) + actuali = imag(actual) + else: + actualr = actual + actuali = 0 + if iscomplexobj(desired): + desiredr = real(desired) + desiredi = imag(desired) + else: + desiredr = desired + desiredi = 0 + try: + assert_almost_equal(actualr, desiredr, decimal=decimal) + assert_almost_equal(actuali, desiredi, decimal=decimal) + except AssertionError: + raise AssertionError(_build_err_msg()) + + if isinstance(actual, (ndarray, tuple, list)) \ + or isinstance(desired, (ndarray, tuple, list)): + return assert_array_almost_equal(actual, desired, decimal, err_msg) + try: + # If one of desired/actual is not finite, handle it specially here: + # check that both are nan if any is a nan, and test for equality + # otherwise + if not (isfinite(desired) and isfinite(actual)): + if isnan(desired) or isnan(actual): + if not (isnan(desired) and isnan(actual)): + raise AssertionError(_build_err_msg()) + else: + if not desired == actual: + raise AssertionError(_build_err_msg()) + return + except (NotImplementedError, TypeError): + pass + if abs(desired - actual) >= np.float64(1.5 * 10.0**(-decimal)): + raise AssertionError(_build_err_msg()) + + +@np._no_nep50_warning() +def assert_approx_equal(actual, desired, significant=7, err_msg='', + verbose=True): + """ + Raises an AssertionError if two items are not equal up to significant + digits. + + .. note:: It is recommended to use one of `assert_allclose`, + `assert_array_almost_equal_nulp` or `assert_array_max_ulp` + instead of this function for more consistent floating point + comparisons. + + Given two numbers, check that they are approximately equal. + Approximately equal is defined as the number of significant digits + that agree. + + Parameters + ---------- + actual : scalar + The object to check. + desired : scalar + The expected object. + significant : int, optional + Desired precision, default is 7. + err_msg : str, optional + The error message to be printed in case of failure. + verbose : bool, optional + If True, the conflicting values are appended to the error message. + + Raises + ------ + AssertionError + If actual and desired are not equal up to specified precision. + + See Also + -------- + assert_allclose: Compare two array_like objects for equality with desired + relative and/or absolute precision. + assert_array_almost_equal_nulp, assert_array_max_ulp, assert_equal + + Examples + -------- + >>> np.testing.assert_approx_equal(0.12345677777777e-20, 0.1234567e-20) + >>> np.testing.assert_approx_equal(0.12345670e-20, 0.12345671e-20, + ... significant=8) + >>> np.testing.assert_approx_equal(0.12345670e-20, 0.12345672e-20, + ... significant=8) + Traceback (most recent call last): + ... + AssertionError: + Items are not equal to 8 significant digits: + ACTUAL: 1.234567e-21 + DESIRED: 1.2345672e-21 + + the evaluated condition that raises the exception is + + >>> abs(0.12345670e-20/1e-21 - 0.12345672e-20/1e-21) >= 10**-(8-1) + True + + """ + __tracebackhide__ = True # Hide traceback for py.test + import numpy as np + + (actual, desired) = map(float, (actual, desired)) + if desired == actual: + return + # Normalized the numbers to be in range (-10.0,10.0) + # scale = float(pow(10,math.floor(math.log10(0.5*(abs(desired)+abs(actual)))))) + with np.errstate(invalid='ignore'): + scale = 0.5*(np.abs(desired) + np.abs(actual)) + scale = np.power(10, np.floor(np.log10(scale))) + try: + sc_desired = desired/scale + except ZeroDivisionError: + sc_desired = 0.0 + try: + sc_actual = actual/scale + except ZeroDivisionError: + sc_actual = 0.0 + msg = build_err_msg( + [actual, desired], err_msg, + header='Items are not equal to %d significant digits:' % significant, + verbose=verbose) + try: + # If one of desired/actual is not finite, handle it specially here: + # check that both are nan if any is a nan, and test for equality + # otherwise + if not (isfinite(desired) and isfinite(actual)): + if isnan(desired) or isnan(actual): + if not (isnan(desired) and isnan(actual)): + raise AssertionError(msg) + else: + if not desired == actual: + raise AssertionError(msg) + return + except (TypeError, NotImplementedError): + pass + if np.abs(sc_desired - sc_actual) >= np.power(10., -(significant-1)): + raise AssertionError(msg) + + +@np._no_nep50_warning() +def assert_array_compare(comparison, x, y, err_msg='', verbose=True, header='', + precision=6, equal_nan=True, equal_inf=True, + *, strict=False): + __tracebackhide__ = True # Hide traceback for py.test + from numpy.core import (array2string, isnan, inf, bool_, errstate, + all, max, object_) + + x = np.asanyarray(x) + y = np.asanyarray(y) + + # original array for output formatting + ox, oy = x, y + + def isnumber(x): + return x.dtype.char in '?bhilqpBHILQPefdgFDG' + + def istime(x): + return x.dtype.char in "Mm" + + def func_assert_same_pos(x, y, func=isnan, hasval='nan'): + """Handling nan/inf. + + Combine results of running func on x and y, checking that they are True + at the same locations. + + """ + __tracebackhide__ = True # Hide traceback for py.test + + x_id = func(x) + y_id = func(y) + # We include work-arounds here to handle three types of slightly + # pathological ndarray subclasses: + # (1) all() on `masked` array scalars can return masked arrays, so we + # use != True + # (2) __eq__ on some ndarray subclasses returns Python booleans + # instead of element-wise comparisons, so we cast to bool_() and + # use isinstance(..., bool) checks + # (3) subclasses with bare-bones __array_function__ implementations may + # not implement np.all(), so favor using the .all() method + # We are not committed to supporting such subclasses, but it's nice to + # support them if possible. + if bool_(x_id == y_id).all() != True: + msg = build_err_msg([x, y], + err_msg + '\nx and y %s location mismatch:' + % (hasval), verbose=verbose, header=header, + names=('x', 'y'), precision=precision) + raise AssertionError(msg) + # If there is a scalar, then here we know the array has the same + # flag as it everywhere, so we should return the scalar flag. + if isinstance(x_id, bool) or x_id.ndim == 0: + return bool_(x_id) + elif isinstance(y_id, bool) or y_id.ndim == 0: + return bool_(y_id) + else: + return y_id + + try: + if strict: + cond = x.shape == y.shape and x.dtype == y.dtype + else: + cond = (x.shape == () or y.shape == ()) or x.shape == y.shape + if not cond: + if x.shape != y.shape: + reason = f'\n(shapes {x.shape}, {y.shape} mismatch)' + else: + reason = f'\n(dtypes {x.dtype}, {y.dtype} mismatch)' + msg = build_err_msg([x, y], + err_msg + + reason, + verbose=verbose, header=header, + names=('x', 'y'), precision=precision) + raise AssertionError(msg) + + flagged = bool_(False) + if isnumber(x) and isnumber(y): + if equal_nan: + flagged = func_assert_same_pos(x, y, func=isnan, hasval='nan') + + if equal_inf: + flagged |= func_assert_same_pos(x, y, + func=lambda xy: xy == +inf, + hasval='+inf') + flagged |= func_assert_same_pos(x, y, + func=lambda xy: xy == -inf, + hasval='-inf') + + elif istime(x) and istime(y): + # If one is datetime64 and the other timedelta64 there is no point + if equal_nan and x.dtype.type == y.dtype.type: + flagged = func_assert_same_pos(x, y, func=isnat, hasval="NaT") + + if flagged.ndim > 0: + x, y = x[~flagged], y[~flagged] + # Only do the comparison if actual values are left + if x.size == 0: + return + elif flagged: + # no sense doing comparison if everything is flagged. + return + + val = comparison(x, y) + + if isinstance(val, bool): + cond = val + reduced = array([val]) + else: + reduced = val.ravel() + cond = reduced.all() + + # The below comparison is a hack to ensure that fully masked + # results, for which val.ravel().all() returns np.ma.masked, + # do not trigger a failure (np.ma.masked != True evaluates as + # np.ma.masked, which is falsy). + if cond != True: + n_mismatch = reduced.size - reduced.sum(dtype=intp) + n_elements = flagged.size if flagged.ndim != 0 else reduced.size + percent_mismatch = 100 * n_mismatch / n_elements + remarks = [ + 'Mismatched elements: {} / {} ({:.3g}%)'.format( + n_mismatch, n_elements, percent_mismatch)] + + with errstate(all='ignore'): + # ignore errors for non-numeric types + with contextlib.suppress(TypeError): + error = abs(x - y) + if np.issubdtype(x.dtype, np.unsignedinteger): + error2 = abs(y - x) + np.minimum(error, error2, out=error) + max_abs_error = max(error) + if getattr(error, 'dtype', object_) == object_: + remarks.append('Max absolute difference: ' + + str(max_abs_error)) + else: + remarks.append('Max absolute difference: ' + + array2string(max_abs_error)) + + # note: this definition of relative error matches that one + # used by assert_allclose (found in np.isclose) + # Filter values where the divisor would be zero + nonzero = bool_(y != 0) + if all(~nonzero): + max_rel_error = array(inf) + else: + max_rel_error = max(error[nonzero] / abs(y[nonzero])) + if getattr(error, 'dtype', object_) == object_: + remarks.append('Max relative difference: ' + + str(max_rel_error)) + else: + remarks.append('Max relative difference: ' + + array2string(max_rel_error)) + + err_msg += '\n' + '\n'.join(remarks) + msg = build_err_msg([ox, oy], err_msg, + verbose=verbose, header=header, + names=('x', 'y'), precision=precision) + raise AssertionError(msg) + except ValueError: + import traceback + efmt = traceback.format_exc() + header = f'error during assertion:\n\n{efmt}\n\n{header}' + + msg = build_err_msg([x, y], err_msg, verbose=verbose, header=header, + names=('x', 'y'), precision=precision) + raise ValueError(msg) + + +def assert_array_equal(x, y, err_msg='', verbose=True, *, strict=False): + """ + Raises an AssertionError if two array_like objects are not equal. + + Given two array_like objects, check that the shape is equal and all + elements of these objects are equal (but see the Notes for the special + handling of a scalar). An exception is raised at shape mismatch or + conflicting values. In contrast to the standard usage in numpy, NaNs + are compared like numbers, no assertion is raised if both objects have + NaNs in the same positions. + + The usual caution for verifying equality with floating point numbers is + advised. + + Parameters + ---------- + x : array_like + The actual object to check. + y : array_like + The desired, expected object. + err_msg : str, optional + The error message to be printed in case of failure. + verbose : bool, optional + If True, the conflicting values are appended to the error message. + strict : bool, optional + If True, raise an AssertionError when either the shape or the data + type of the array_like objects does not match. The special + handling for scalars mentioned in the Notes section is disabled. + + .. versionadded:: 1.24.0 + + Raises + ------ + AssertionError + If actual and desired objects are not equal. + + See Also + -------- + assert_allclose: Compare two array_like objects for equality with desired + relative and/or absolute precision. + assert_array_almost_equal_nulp, assert_array_max_ulp, assert_equal + + Notes + ----- + When one of `x` and `y` is a scalar and the other is array_like, the + function checks that each element of the array_like object is equal to + the scalar. This behaviour can be disabled with the `strict` parameter. + + Examples + -------- + The first assert does not raise an exception: + + >>> np.testing.assert_array_equal([1.0,2.33333,np.nan], + ... [np.exp(0),2.33333, np.nan]) + + Assert fails with numerical imprecision with floats: + + >>> np.testing.assert_array_equal([1.0,np.pi,np.nan], + ... [1, np.sqrt(np.pi)**2, np.nan]) + Traceback (most recent call last): + ... + AssertionError: + Arrays are not equal + + Mismatched elements: 1 / 3 (33.3%) + Max absolute difference: 4.4408921e-16 + Max relative difference: 1.41357986e-16 + x: array([1. , 3.141593, nan]) + y: array([1. , 3.141593, nan]) + + Use `assert_allclose` or one of the nulp (number of floating point values) + functions for these cases instead: + + >>> np.testing.assert_allclose([1.0,np.pi,np.nan], + ... [1, np.sqrt(np.pi)**2, np.nan], + ... rtol=1e-10, atol=0) + + As mentioned in the Notes section, `assert_array_equal` has special + handling for scalars. Here the test checks that each value in `x` is 3: + + >>> x = np.full((2, 5), fill_value=3) + >>> np.testing.assert_array_equal(x, 3) + + Use `strict` to raise an AssertionError when comparing a scalar with an + array: + + >>> np.testing.assert_array_equal(x, 3, strict=True) + Traceback (most recent call last): + ... + AssertionError: + Arrays are not equal + + (shapes (2, 5), () mismatch) + x: array([[3, 3, 3, 3, 3], + [3, 3, 3, 3, 3]]) + y: array(3) + + The `strict` parameter also ensures that the array data types match: + + >>> x = np.array([2, 2, 2]) + >>> y = np.array([2., 2., 2.], dtype=np.float32) + >>> np.testing.assert_array_equal(x, y, strict=True) + Traceback (most recent call last): + ... + AssertionError: + Arrays are not equal + + (dtypes int64, float32 mismatch) + x: array([2, 2, 2]) + y: array([2., 2., 2.], dtype=float32) + """ + __tracebackhide__ = True # Hide traceback for py.test + assert_array_compare(operator.__eq__, x, y, err_msg=err_msg, + verbose=verbose, header='Arrays are not equal', + strict=strict) + + +@np._no_nep50_warning() +def assert_array_almost_equal(x, y, decimal=6, err_msg='', verbose=True): + """ + Raises an AssertionError if two objects are not equal up to desired + precision. + + .. note:: It is recommended to use one of `assert_allclose`, + `assert_array_almost_equal_nulp` or `assert_array_max_ulp` + instead of this function for more consistent floating point + comparisons. + + The test verifies identical shapes and that the elements of ``actual`` and + ``desired`` satisfy. + + ``abs(desired-actual) < 1.5 * 10**(-decimal)`` + + That is a looser test than originally documented, but agrees with what the + actual implementation did up to rounding vagaries. An exception is raised + at shape mismatch or conflicting values. In contrast to the standard usage + in numpy, NaNs are compared like numbers, no assertion is raised if both + objects have NaNs in the same positions. + + Parameters + ---------- + x : array_like + The actual object to check. + y : array_like + The desired, expected object. + decimal : int, optional + Desired precision, default is 6. + err_msg : str, optional + The error message to be printed in case of failure. + verbose : bool, optional + If True, the conflicting values are appended to the error message. + + Raises + ------ + AssertionError + If actual and desired are not equal up to specified precision. + + See Also + -------- + assert_allclose: Compare two array_like objects for equality with desired + relative and/or absolute precision. + assert_array_almost_equal_nulp, assert_array_max_ulp, assert_equal + + Examples + -------- + the first assert does not raise an exception + + >>> np.testing.assert_array_almost_equal([1.0,2.333,np.nan], + ... [1.0,2.333,np.nan]) + + >>> np.testing.assert_array_almost_equal([1.0,2.33333,np.nan], + ... [1.0,2.33339,np.nan], decimal=5) + Traceback (most recent call last): + ... + AssertionError: + Arrays are not almost equal to 5 decimals + + Mismatched elements: 1 / 3 (33.3%) + Max absolute difference: 6.e-05 + Max relative difference: 2.57136612e-05 + x: array([1. , 2.33333, nan]) + y: array([1. , 2.33339, nan]) + + >>> np.testing.assert_array_almost_equal([1.0,2.33333,np.nan], + ... [1.0,2.33333, 5], decimal=5) + Traceback (most recent call last): + ... + AssertionError: + Arrays are not almost equal to 5 decimals + + x and y nan location mismatch: + x: array([1. , 2.33333, nan]) + y: array([1. , 2.33333, 5. ]) + + """ + __tracebackhide__ = True # Hide traceback for py.test + from numpy.core import number, float_, result_type + from numpy.core.numerictypes import issubdtype + from numpy.core.fromnumeric import any as npany + + def compare(x, y): + try: + if npany(isinf(x)) or npany(isinf(y)): + xinfid = isinf(x) + yinfid = isinf(y) + if not (xinfid == yinfid).all(): + return False + # if one item, x and y is +- inf + if x.size == y.size == 1: + return x == y + x = x[~xinfid] + y = y[~yinfid] + except (TypeError, NotImplementedError): + pass + + # make sure y is an inexact type to avoid abs(MIN_INT); will cause + # casting of x later. + dtype = result_type(y, 1.) + y = np.asanyarray(y, dtype) + z = abs(x - y) + + if not issubdtype(z.dtype, number): + z = z.astype(float_) # handle object arrays + + return z < 1.5 * 10.0**(-decimal) + + assert_array_compare(compare, x, y, err_msg=err_msg, verbose=verbose, + header=('Arrays are not almost equal to %d decimals' % decimal), + precision=decimal) + + +def assert_array_less(x, y, err_msg='', verbose=True): + """ + Raises an AssertionError if two array_like objects are not ordered by less + than. + + Given two array_like objects, check that the shape is equal and all + elements of the first object are strictly smaller than those of the + second object. An exception is raised at shape mismatch or incorrectly + ordered values. Shape mismatch does not raise if an object has zero + dimension. In contrast to the standard usage in numpy, NaNs are + compared, no assertion is raised if both objects have NaNs in the same + positions. + + Parameters + ---------- + x : array_like + The smaller object to check. + y : array_like + The larger object to compare. + err_msg : string + The error message to be printed in case of failure. + verbose : bool + If True, the conflicting values are appended to the error message. + + Raises + ------ + AssertionError + If x is not strictly smaller than y, element-wise. + + See Also + -------- + assert_array_equal: tests objects for equality + assert_array_almost_equal: test objects for equality up to precision + + Examples + -------- + >>> np.testing.assert_array_less([1.0, 1.0, np.nan], [1.1, 2.0, np.nan]) + >>> np.testing.assert_array_less([1.0, 1.0, np.nan], [1, 2.0, np.nan]) + Traceback (most recent call last): + ... + AssertionError: + Arrays are not less-ordered + + Mismatched elements: 1 / 3 (33.3%) + Max absolute difference: 1. + Max relative difference: 0.5 + x: array([ 1., 1., nan]) + y: array([ 1., 2., nan]) + + >>> np.testing.assert_array_less([1.0, 4.0], 3) + Traceback (most recent call last): + ... + AssertionError: + Arrays are not less-ordered + + Mismatched elements: 1 / 2 (50%) + Max absolute difference: 2. + Max relative difference: 0.66666667 + x: array([1., 4.]) + y: array(3) + + >>> np.testing.assert_array_less([1.0, 2.0, 3.0], [4]) + Traceback (most recent call last): + ... + AssertionError: + Arrays are not less-ordered + + (shapes (3,), (1,) mismatch) + x: array([1., 2., 3.]) + y: array([4]) + + """ + __tracebackhide__ = True # Hide traceback for py.test + assert_array_compare(operator.__lt__, x, y, err_msg=err_msg, + verbose=verbose, + header='Arrays are not less-ordered', + equal_inf=False) + + +def runstring(astr, dict): + exec(astr, dict) + + +def assert_string_equal(actual, desired): + """ + Test if two strings are equal. + + If the given strings are equal, `assert_string_equal` does nothing. + If they are not equal, an AssertionError is raised, and the diff + between the strings is shown. + + Parameters + ---------- + actual : str + The string to test for equality against the expected string. + desired : str + The expected string. + + Examples + -------- + >>> np.testing.assert_string_equal('abc', 'abc') + >>> np.testing.assert_string_equal('abc', 'abcd') + Traceback (most recent call last): + File "", line 1, in + ... + AssertionError: Differences in strings: + - abc+ abcd? + + + """ + # delay import of difflib to reduce startup time + __tracebackhide__ = True # Hide traceback for py.test + import difflib + + if not isinstance(actual, str): + raise AssertionError(repr(type(actual))) + if not isinstance(desired, str): + raise AssertionError(repr(type(desired))) + if desired == actual: + return + + diff = list(difflib.Differ().compare(actual.splitlines(True), + desired.splitlines(True))) + diff_list = [] + while diff: + d1 = diff.pop(0) + if d1.startswith(' '): + continue + if d1.startswith('- '): + l = [d1] + d2 = diff.pop(0) + if d2.startswith('? '): + l.append(d2) + d2 = diff.pop(0) + if not d2.startswith('+ '): + raise AssertionError(repr(d2)) + l.append(d2) + if diff: + d3 = diff.pop(0) + if d3.startswith('? '): + l.append(d3) + else: + diff.insert(0, d3) + if d2[2:] == d1[2:]: + continue + diff_list.extend(l) + continue + raise AssertionError(repr(d1)) + if not diff_list: + return + msg = f"Differences in strings:\n{''.join(diff_list).rstrip()}" + if actual != desired: + raise AssertionError(msg) + + +def rundocs(filename=None, raise_on_error=True): + """ + Run doctests found in the given file. + + By default `rundocs` raises an AssertionError on failure. + + Parameters + ---------- + filename : str + The path to the file for which the doctests are run. + raise_on_error : bool + Whether to raise an AssertionError when a doctest fails. Default is + True. + + Notes + ----- + The doctests can be run by the user/developer by adding the ``doctests`` + argument to the ``test()`` call. For example, to run all tests (including + doctests) for `numpy.lib`: + + >>> np.lib.test(doctests=True) # doctest: +SKIP + """ + from numpy.distutils.misc_util import exec_mod_from_location + import doctest + if filename is None: + f = sys._getframe(1) + filename = f.f_globals['__file__'] + name = os.path.splitext(os.path.basename(filename))[0] + m = exec_mod_from_location(name, filename) + + tests = doctest.DocTestFinder().find(m) + runner = doctest.DocTestRunner(verbose=False) + + msg = [] + if raise_on_error: + out = lambda s: msg.append(s) + else: + out = None + + for test in tests: + runner.run(test, out=out) + + if runner.failures > 0 and raise_on_error: + raise AssertionError("Some doctests failed:\n%s" % "\n".join(msg)) + + +def check_support_sve(): + """ + gh-22982 + """ + + import subprocess + cmd = 'lscpu' + try: + output = subprocess.run(cmd, capture_output=True, text=True) + return 'sve' in output.stdout + except OSError: + return False + + +_SUPPORTS_SVE = check_support_sve() + +# +# assert_raises and assert_raises_regex are taken from unittest. +# +import unittest + + +class _Dummy(unittest.TestCase): + def nop(self): + pass + + +_d = _Dummy('nop') + + +def assert_raises(*args, **kwargs): + """ + assert_raises(exception_class, callable, *args, **kwargs) + assert_raises(exception_class) + + Fail unless an exception of class exception_class is thrown + by callable when invoked with arguments args and keyword + arguments kwargs. If a different type of exception is + thrown, it will not be caught, and the test case will be + deemed to have suffered an error, exactly as for an + unexpected exception. + + Alternatively, `assert_raises` can be used as a context manager: + + >>> from numpy.testing import assert_raises + >>> with assert_raises(ZeroDivisionError): + ... 1 / 0 + + is equivalent to + + >>> def div(x, y): + ... return x / y + >>> assert_raises(ZeroDivisionError, div, 1, 0) + + """ + __tracebackhide__ = True # Hide traceback for py.test + return _d.assertRaises(*args, **kwargs) + + +def assert_raises_regex(exception_class, expected_regexp, *args, **kwargs): + """ + assert_raises_regex(exception_class, expected_regexp, callable, *args, + **kwargs) + assert_raises_regex(exception_class, expected_regexp) + + Fail unless an exception of class exception_class and with message that + matches expected_regexp is thrown by callable when invoked with arguments + args and keyword arguments kwargs. + + Alternatively, can be used as a context manager like `assert_raises`. + + Notes + ----- + .. versionadded:: 1.9.0 + + """ + __tracebackhide__ = True # Hide traceback for py.test + return _d.assertRaisesRegex(exception_class, expected_regexp, *args, **kwargs) + + +def decorate_methods(cls, decorator, testmatch=None): + """ + Apply a decorator to all methods in a class matching a regular expression. + + The given decorator is applied to all public methods of `cls` that are + matched by the regular expression `testmatch` + (``testmatch.search(methodname)``). Methods that are private, i.e. start + with an underscore, are ignored. + + Parameters + ---------- + cls : class + Class whose methods to decorate. + decorator : function + Decorator to apply to methods + testmatch : compiled regexp or str, optional + The regular expression. Default value is None, in which case the + nose default (``re.compile(r'(?:^|[\\b_\\.%s-])[Tt]est' % os.sep)``) + is used. + If `testmatch` is a string, it is compiled to a regular expression + first. + + """ + if testmatch is None: + testmatch = re.compile(r'(?:^|[\\b_\\.%s-])[Tt]est' % os.sep) + else: + testmatch = re.compile(testmatch) + cls_attr = cls.__dict__ + + # delayed import to reduce startup time + from inspect import isfunction + + methods = [_m for _m in cls_attr.values() if isfunction(_m)] + for function in methods: + try: + if hasattr(function, 'compat_func_name'): + funcname = function.compat_func_name + else: + funcname = function.__name__ + except AttributeError: + # not a function + continue + if testmatch.search(funcname) and not funcname.startswith('_'): + setattr(cls, funcname, decorator(function)) + return + + +def measure(code_str, times=1, label=None): + """ + Return elapsed time for executing code in the namespace of the caller. + + The supplied code string is compiled with the Python builtin ``compile``. + The precision of the timing is 10 milli-seconds. If the code will execute + fast on this timescale, it can be executed many times to get reasonable + timing accuracy. + + Parameters + ---------- + code_str : str + The code to be timed. + times : int, optional + The number of times the code is executed. Default is 1. The code is + only compiled once. + label : str, optional + A label to identify `code_str` with. This is passed into ``compile`` + as the second argument (for run-time error messages). + + Returns + ------- + elapsed : float + Total elapsed time in seconds for executing `code_str` `times` times. + + Examples + -------- + >>> times = 10 + >>> etime = np.testing.measure('for i in range(1000): np.sqrt(i**2)', times=times) + >>> print("Time for a single execution : ", etime / times, "s") # doctest: +SKIP + Time for a single execution : 0.005 s + + """ + frame = sys._getframe(1) + locs, globs = frame.f_locals, frame.f_globals + + code = compile(code_str, f'Test name: {label} ', 'exec') + i = 0 + elapsed = jiffies() + while i < times: + i += 1 + exec(code, globs, locs) + elapsed = jiffies() - elapsed + return 0.01*elapsed + + +def _assert_valid_refcount(op): + """ + Check that ufuncs don't mishandle refcount of object `1`. + Used in a few regression tests. + """ + if not HAS_REFCOUNT: + return True + + import gc + import numpy as np + + b = np.arange(100*100).reshape(100, 100) + c = b + i = 1 + + gc.disable() + try: + rc = sys.getrefcount(i) + for j in range(15): + d = op(b, c) + assert_(sys.getrefcount(i) >= rc) + finally: + gc.enable() + del d # for pyflakes + + +def assert_allclose(actual, desired, rtol=1e-7, atol=0, equal_nan=True, + err_msg='', verbose=True): + """ + Raises an AssertionError if two objects are not equal up to desired + tolerance. + + Given two array_like objects, check that their shapes and all elements + are equal (but see the Notes for the special handling of a scalar). An + exception is raised if the shapes mismatch or any values conflict. In + contrast to the standard usage in numpy, NaNs are compared like numbers, + no assertion is raised if both objects have NaNs in the same positions. + + The test is equivalent to ``allclose(actual, desired, rtol, atol)`` (note + that ``allclose`` has different default values). It compares the difference + between `actual` and `desired` to ``atol + rtol * abs(desired)``. + + .. versionadded:: 1.5.0 + + Parameters + ---------- + actual : array_like + Array obtained. + desired : array_like + Array desired. + rtol : float, optional + Relative tolerance. + atol : float, optional + Absolute tolerance. + equal_nan : bool, optional. + If True, NaNs will compare equal. + err_msg : str, optional + The error message to be printed in case of failure. + verbose : bool, optional + If True, the conflicting values are appended to the error message. + + Raises + ------ + AssertionError + If actual and desired are not equal up to specified precision. + + See Also + -------- + assert_array_almost_equal_nulp, assert_array_max_ulp + + Notes + ----- + When one of `actual` and `desired` is a scalar and the other is + array_like, the function checks that each element of the array_like + object is equal to the scalar. + + Examples + -------- + >>> x = [1e-5, 1e-3, 1e-1] + >>> y = np.arccos(np.cos(x)) + >>> np.testing.assert_allclose(x, y, rtol=1e-5, atol=0) + + """ + __tracebackhide__ = True # Hide traceback for py.test + import numpy as np + + def compare(x, y): + return np.core.numeric.isclose(x, y, rtol=rtol, atol=atol, + equal_nan=equal_nan) + + actual, desired = np.asanyarray(actual), np.asanyarray(desired) + header = f'Not equal to tolerance rtol={rtol:g}, atol={atol:g}' + assert_array_compare(compare, actual, desired, err_msg=str(err_msg), + verbose=verbose, header=header, equal_nan=equal_nan) + + +def assert_array_almost_equal_nulp(x, y, nulp=1): + """ + Compare two arrays relatively to their spacing. + + This is a relatively robust method to compare two arrays whose amplitude + is variable. + + Parameters + ---------- + x, y : array_like + Input arrays. + nulp : int, optional + The maximum number of unit in the last place for tolerance (see Notes). + Default is 1. + + Returns + ------- + None + + Raises + ------ + AssertionError + If the spacing between `x` and `y` for one or more elements is larger + than `nulp`. + + See Also + -------- + assert_array_max_ulp : Check that all items of arrays differ in at most + N Units in the Last Place. + spacing : Return the distance between x and the nearest adjacent number. + + Notes + ----- + An assertion is raised if the following condition is not met:: + + abs(x - y) <= nulp * spacing(maximum(abs(x), abs(y))) + + Examples + -------- + >>> x = np.array([1., 1e-10, 1e-20]) + >>> eps = np.finfo(x.dtype).eps + >>> np.testing.assert_array_almost_equal_nulp(x, x*eps/2 + x) + + >>> np.testing.assert_array_almost_equal_nulp(x, x*eps + x) + Traceback (most recent call last): + ... + AssertionError: X and Y are not equal to 1 ULP (max is 2) + + """ + __tracebackhide__ = True # Hide traceback for py.test + import numpy as np + ax = np.abs(x) + ay = np.abs(y) + ref = nulp * np.spacing(np.where(ax > ay, ax, ay)) + if not np.all(np.abs(x-y) <= ref): + if np.iscomplexobj(x) or np.iscomplexobj(y): + msg = "X and Y are not equal to %d ULP" % nulp + else: + max_nulp = np.max(nulp_diff(x, y)) + msg = "X and Y are not equal to %d ULP (max is %g)" % (nulp, max_nulp) + raise AssertionError(msg) + + +def assert_array_max_ulp(a, b, maxulp=1, dtype=None): + """ + Check that all items of arrays differ in at most N Units in the Last Place. + + Parameters + ---------- + a, b : array_like + Input arrays to be compared. + maxulp : int, optional + The maximum number of units in the last place that elements of `a` and + `b` can differ. Default is 1. + dtype : dtype, optional + Data-type to convert `a` and `b` to if given. Default is None. + + Returns + ------- + ret : ndarray + Array containing number of representable floating point numbers between + items in `a` and `b`. + + Raises + ------ + AssertionError + If one or more elements differ by more than `maxulp`. + + Notes + ----- + For computing the ULP difference, this API does not differentiate between + various representations of NAN (ULP difference between 0x7fc00000 and 0xffc00000 + is zero). + + See Also + -------- + assert_array_almost_equal_nulp : Compare two arrays relatively to their + spacing. + + Examples + -------- + >>> a = np.linspace(0., 1., 100) + >>> res = np.testing.assert_array_max_ulp(a, np.arcsin(np.sin(a))) + + """ + __tracebackhide__ = True # Hide traceback for py.test + import numpy as np + ret = nulp_diff(a, b, dtype) + if not np.all(ret <= maxulp): + raise AssertionError("Arrays are not almost equal up to %g " + "ULP (max difference is %g ULP)" % + (maxulp, np.max(ret))) + return ret + + +def nulp_diff(x, y, dtype=None): + """For each item in x and y, return the number of representable floating + points between them. + + Parameters + ---------- + x : array_like + first input array + y : array_like + second input array + dtype : dtype, optional + Data-type to convert `x` and `y` to if given. Default is None. + + Returns + ------- + nulp : array_like + number of representable floating point numbers between each item in x + and y. + + Notes + ----- + For computing the ULP difference, this API does not differentiate between + various representations of NAN (ULP difference between 0x7fc00000 and 0xffc00000 + is zero). + + Examples + -------- + # By definition, epsilon is the smallest number such as 1 + eps != 1, so + # there should be exactly one ULP between 1 and 1 + eps + >>> nulp_diff(1, 1 + np.finfo(x.dtype).eps) + 1.0 + """ + import numpy as np + if dtype: + x = np.asarray(x, dtype=dtype) + y = np.asarray(y, dtype=dtype) + else: + x = np.asarray(x) + y = np.asarray(y) + + t = np.common_type(x, y) + if np.iscomplexobj(x) or np.iscomplexobj(y): + raise NotImplementedError("_nulp not implemented for complex array") + + x = np.array([x], dtype=t) + y = np.array([y], dtype=t) + + x[np.isnan(x)] = np.nan + y[np.isnan(y)] = np.nan + + if not x.shape == y.shape: + raise ValueError("x and y do not have the same shape: %s - %s" % + (x.shape, y.shape)) + + def _diff(rx, ry, vdt): + diff = np.asarray(rx-ry, dtype=vdt) + return np.abs(diff) + + rx = integer_repr(x) + ry = integer_repr(y) + return _diff(rx, ry, t) + + +def _integer_repr(x, vdt, comp): + # Reinterpret binary representation of the float as sign-magnitude: + # take into account two-complement representation + # See also + # https://randomascii.wordpress.com/2012/02/25/comparing-floating-point-numbers-2012-edition/ + rx = x.view(vdt) + if not (rx.size == 1): + rx[rx < 0] = comp - rx[rx < 0] + else: + if rx < 0: + rx = comp - rx + + return rx + + +def integer_repr(x): + """Return the signed-magnitude interpretation of the binary representation + of x.""" + import numpy as np + if x.dtype == np.float16: + return _integer_repr(x, np.int16, np.int16(-2**15)) + elif x.dtype == np.float32: + return _integer_repr(x, np.int32, np.int32(-2**31)) + elif x.dtype == np.float64: + return _integer_repr(x, np.int64, np.int64(-2**63)) + else: + raise ValueError(f'Unsupported dtype {x.dtype}') + + +@contextlib.contextmanager +def _assert_warns_context(warning_class, name=None): + __tracebackhide__ = True # Hide traceback for py.test + with suppress_warnings() as sup: + l = sup.record(warning_class) + yield + if not len(l) > 0: + name_str = f' when calling {name}' if name is not None else '' + raise AssertionError("No warning raised" + name_str) + + +def assert_warns(warning_class, *args, **kwargs): + """ + Fail unless the given callable throws the specified warning. + + A warning of class warning_class should be thrown by the callable when + invoked with arguments args and keyword arguments kwargs. + If a different type of warning is thrown, it will not be caught. + + If called with all arguments other than the warning class omitted, may be + used as a context manager: + + with assert_warns(SomeWarning): + do_something() + + The ability to be used as a context manager is new in NumPy v1.11.0. + + .. versionadded:: 1.4.0 + + Parameters + ---------- + warning_class : class + The class defining the warning that `func` is expected to throw. + func : callable, optional + Callable to test + *args : Arguments + Arguments for `func`. + **kwargs : Kwargs + Keyword arguments for `func`. + + Returns + ------- + The value returned by `func`. + + Examples + -------- + >>> import warnings + >>> def deprecated_func(num): + ... warnings.warn("Please upgrade", DeprecationWarning) + ... return num*num + >>> with np.testing.assert_warns(DeprecationWarning): + ... assert deprecated_func(4) == 16 + >>> # or passing a func + >>> ret = np.testing.assert_warns(DeprecationWarning, deprecated_func, 4) + >>> assert ret == 16 + """ + if not args: + return _assert_warns_context(warning_class) + + func = args[0] + args = args[1:] + with _assert_warns_context(warning_class, name=func.__name__): + return func(*args, **kwargs) + + +@contextlib.contextmanager +def _assert_no_warnings_context(name=None): + __tracebackhide__ = True # Hide traceback for py.test + with warnings.catch_warnings(record=True) as l: + warnings.simplefilter('always') + yield + if len(l) > 0: + name_str = f' when calling {name}' if name is not None else '' + raise AssertionError(f'Got warnings{name_str}: {l}') + + +def assert_no_warnings(*args, **kwargs): + """ + Fail if the given callable produces any warnings. + + If called with all arguments omitted, may be used as a context manager: + + with assert_no_warnings(): + do_something() + + The ability to be used as a context manager is new in NumPy v1.11.0. + + .. versionadded:: 1.7.0 + + Parameters + ---------- + func : callable + The callable to test. + \\*args : Arguments + Arguments passed to `func`. + \\*\\*kwargs : Kwargs + Keyword arguments passed to `func`. + + Returns + ------- + The value returned by `func`. + + """ + if not args: + return _assert_no_warnings_context() + + func = args[0] + args = args[1:] + with _assert_no_warnings_context(name=func.__name__): + return func(*args, **kwargs) + + +def _gen_alignment_data(dtype=float32, type='binary', max_size=24): + """ + generator producing data with different alignment and offsets + to test simd vectorization + + Parameters + ---------- + dtype : dtype + data type to produce + type : string + 'unary': create data for unary operations, creates one input + and output array + 'binary': create data for unary operations, creates two input + and output array + max_size : integer + maximum size of data to produce + + Returns + ------- + if type is 'unary' yields one output, one input array and a message + containing information on the data + if type is 'binary' yields one output array, two input array and a message + containing information on the data + + """ + ufmt = 'unary offset=(%d, %d), size=%d, dtype=%r, %s' + bfmt = 'binary offset=(%d, %d, %d), size=%d, dtype=%r, %s' + for o in range(3): + for s in range(o + 2, max(o + 3, max_size)): + if type == 'unary': + inp = lambda: arange(s, dtype=dtype)[o:] + out = empty((s,), dtype=dtype)[o:] + yield out, inp(), ufmt % (o, o, s, dtype, 'out of place') + d = inp() + yield d, d, ufmt % (o, o, s, dtype, 'in place') + yield out[1:], inp()[:-1], ufmt % \ + (o + 1, o, s - 1, dtype, 'out of place') + yield out[:-1], inp()[1:], ufmt % \ + (o, o + 1, s - 1, dtype, 'out of place') + yield inp()[:-1], inp()[1:], ufmt % \ + (o, o + 1, s - 1, dtype, 'aliased') + yield inp()[1:], inp()[:-1], ufmt % \ + (o + 1, o, s - 1, dtype, 'aliased') + if type == 'binary': + inp1 = lambda: arange(s, dtype=dtype)[o:] + inp2 = lambda: arange(s, dtype=dtype)[o:] + out = empty((s,), dtype=dtype)[o:] + yield out, inp1(), inp2(), bfmt % \ + (o, o, o, s, dtype, 'out of place') + d = inp1() + yield d, d, inp2(), bfmt % \ + (o, o, o, s, dtype, 'in place1') + d = inp2() + yield d, inp1(), d, bfmt % \ + (o, o, o, s, dtype, 'in place2') + yield out[1:], inp1()[:-1], inp2()[:-1], bfmt % \ + (o + 1, o, o, s - 1, dtype, 'out of place') + yield out[:-1], inp1()[1:], inp2()[:-1], bfmt % \ + (o, o + 1, o, s - 1, dtype, 'out of place') + yield out[:-1], inp1()[:-1], inp2()[1:], bfmt % \ + (o, o, o + 1, s - 1, dtype, 'out of place') + yield inp1()[1:], inp1()[:-1], inp2()[:-1], bfmt % \ + (o + 1, o, o, s - 1, dtype, 'aliased') + yield inp1()[:-1], inp1()[1:], inp2()[:-1], bfmt % \ + (o, o + 1, o, s - 1, dtype, 'aliased') + yield inp1()[:-1], inp1()[:-1], inp2()[1:], bfmt % \ + (o, o, o + 1, s - 1, dtype, 'aliased') + + +class IgnoreException(Exception): + "Ignoring this exception due to disabled feature" + pass + + +@contextlib.contextmanager +def tempdir(*args, **kwargs): + """Context manager to provide a temporary test folder. + + All arguments are passed as this to the underlying tempfile.mkdtemp + function. + + """ + tmpdir = mkdtemp(*args, **kwargs) + try: + yield tmpdir + finally: + shutil.rmtree(tmpdir) + + +@contextlib.contextmanager +def temppath(*args, **kwargs): + """Context manager for temporary files. + + Context manager that returns the path to a closed temporary file. Its + parameters are the same as for tempfile.mkstemp and are passed directly + to that function. The underlying file is removed when the context is + exited, so it should be closed at that time. + + Windows does not allow a temporary file to be opened if it is already + open, so the underlying file must be closed after opening before it + can be opened again. + + """ + fd, path = mkstemp(*args, **kwargs) + os.close(fd) + try: + yield path + finally: + os.remove(path) + + +class clear_and_catch_warnings(warnings.catch_warnings): + """ Context manager that resets warning registry for catching warnings + + Warnings can be slippery, because, whenever a warning is triggered, Python + adds a ``__warningregistry__`` member to the *calling* module. This makes + it impossible to retrigger the warning in this module, whatever you put in + the warnings filters. This context manager accepts a sequence of `modules` + as a keyword argument to its constructor and: + + * stores and removes any ``__warningregistry__`` entries in given `modules` + on entry; + * resets ``__warningregistry__`` to its previous state on exit. + + This makes it possible to trigger any warning afresh inside the context + manager without disturbing the state of warnings outside. + + For compatibility with Python 3.0, please consider all arguments to be + keyword-only. + + Parameters + ---------- + record : bool, optional + Specifies whether warnings should be captured by a custom + implementation of ``warnings.showwarning()`` and be appended to a list + returned by the context manager. Otherwise None is returned by the + context manager. The objects appended to the list are arguments whose + attributes mirror the arguments to ``showwarning()``. + modules : sequence, optional + Sequence of modules for which to reset warnings registry on entry and + restore on exit. To work correctly, all 'ignore' filters should + filter by one of these modules. + + Examples + -------- + >>> import warnings + >>> with np.testing.clear_and_catch_warnings( + ... modules=[np.core.fromnumeric]): + ... warnings.simplefilter('always') + ... warnings.filterwarnings('ignore', module='np.core.fromnumeric') + ... # do something that raises a warning but ignore those in + ... # np.core.fromnumeric + """ + class_modules = () + + def __init__(self, record=False, modules=()): + self.modules = set(modules).union(self.class_modules) + self._warnreg_copies = {} + super().__init__(record=record) + + def __enter__(self): + for mod in self.modules: + if hasattr(mod, '__warningregistry__'): + mod_reg = mod.__warningregistry__ + self._warnreg_copies[mod] = mod_reg.copy() + mod_reg.clear() + return super().__enter__() + + def __exit__(self, *exc_info): + super().__exit__(*exc_info) + for mod in self.modules: + if hasattr(mod, '__warningregistry__'): + mod.__warningregistry__.clear() + if mod in self._warnreg_copies: + mod.__warningregistry__.update(self._warnreg_copies[mod]) + + +class suppress_warnings: + """ + Context manager and decorator doing much the same as + ``warnings.catch_warnings``. + + However, it also provides a filter mechanism to work around + https://bugs.python.org/issue4180. + + This bug causes Python before 3.4 to not reliably show warnings again + after they have been ignored once (even within catch_warnings). It + means that no "ignore" filter can be used easily, since following + tests might need to see the warning. Additionally it allows easier + specificity for testing warnings and can be nested. + + Parameters + ---------- + forwarding_rule : str, optional + One of "always", "once", "module", or "location". Analogous to + the usual warnings module filter mode, it is useful to reduce + noise mostly on the outmost level. Unsuppressed and unrecorded + warnings will be forwarded based on this rule. Defaults to "always". + "location" is equivalent to the warnings "default", match by exact + location the warning warning originated from. + + Notes + ----- + Filters added inside the context manager will be discarded again + when leaving it. Upon entering all filters defined outside a + context will be applied automatically. + + When a recording filter is added, matching warnings are stored in the + ``log`` attribute as well as in the list returned by ``record``. + + If filters are added and the ``module`` keyword is given, the + warning registry of this module will additionally be cleared when + applying it, entering the context, or exiting it. This could cause + warnings to appear a second time after leaving the context if they + were configured to be printed once (default) and were already + printed before the context was entered. + + Nesting this context manager will work as expected when the + forwarding rule is "always" (default). Unfiltered and unrecorded + warnings will be passed out and be matched by the outer level. + On the outmost level they will be printed (or caught by another + warnings context). The forwarding rule argument can modify this + behaviour. + + Like ``catch_warnings`` this context manager is not threadsafe. + + Examples + -------- + + With a context manager:: + + with np.testing.suppress_warnings() as sup: + sup.filter(DeprecationWarning, "Some text") + sup.filter(module=np.ma.core) + log = sup.record(FutureWarning, "Does this occur?") + command_giving_warnings() + # The FutureWarning was given once, the filtered warnings were + # ignored. All other warnings abide outside settings (may be + # printed/error) + assert_(len(log) == 1) + assert_(len(sup.log) == 1) # also stored in log attribute + + Or as a decorator:: + + sup = np.testing.suppress_warnings() + sup.filter(module=np.ma.core) # module must match exactly + @sup + def some_function(): + # do something which causes a warning in np.ma.core + pass + """ + def __init__(self, forwarding_rule="always"): + self._entered = False + + # Suppressions are either instance or defined inside one with block: + self._suppressions = [] + + if forwarding_rule not in {"always", "module", "once", "location"}: + raise ValueError("unsupported forwarding rule.") + self._forwarding_rule = forwarding_rule + + def _clear_registries(self): + if hasattr(warnings, "_filters_mutated"): + # clearing the registry should not be necessary on new pythons, + # instead the filters should be mutated. + warnings._filters_mutated() + return + # Simply clear the registry, this should normally be harmless, + # note that on new pythons it would be invalidated anyway. + for module in self._tmp_modules: + if hasattr(module, "__warningregistry__"): + module.__warningregistry__.clear() + + def _filter(self, category=Warning, message="", module=None, record=False): + if record: + record = [] # The log where to store warnings + else: + record = None + if self._entered: + if module is None: + warnings.filterwarnings( + "always", category=category, message=message) + else: + module_regex = module.__name__.replace('.', r'\.') + '$' + warnings.filterwarnings( + "always", category=category, message=message, + module=module_regex) + self._tmp_modules.add(module) + self._clear_registries() + + self._tmp_suppressions.append( + (category, message, re.compile(message, re.I), module, record)) + else: + self._suppressions.append( + (category, message, re.compile(message, re.I), module, record)) + + return record + + def filter(self, category=Warning, message="", module=None): + """ + Add a new suppressing filter or apply it if the state is entered. + + Parameters + ---------- + category : class, optional + Warning class to filter + message : string, optional + Regular expression matching the warning message. + module : module, optional + Module to filter for. Note that the module (and its file) + must match exactly and cannot be a submodule. This may make + it unreliable for external modules. + + Notes + ----- + When added within a context, filters are only added inside + the context and will be forgotten when the context is exited. + """ + self._filter(category=category, message=message, module=module, + record=False) + + def record(self, category=Warning, message="", module=None): + """ + Append a new recording filter or apply it if the state is entered. + + All warnings matching will be appended to the ``log`` attribute. + + Parameters + ---------- + category : class, optional + Warning class to filter + message : string, optional + Regular expression matching the warning message. + module : module, optional + Module to filter for. Note that the module (and its file) + must match exactly and cannot be a submodule. This may make + it unreliable for external modules. + + Returns + ------- + log : list + A list which will be filled with all matched warnings. + + Notes + ----- + When added within a context, filters are only added inside + the context and will be forgotten when the context is exited. + """ + return self._filter(category=category, message=message, module=module, + record=True) + + def __enter__(self): + if self._entered: + raise RuntimeError("cannot enter suppress_warnings twice.") + + self._orig_show = warnings.showwarning + self._filters = warnings.filters + warnings.filters = self._filters[:] + + self._entered = True + self._tmp_suppressions = [] + self._tmp_modules = set() + self._forwarded = set() + + self.log = [] # reset global log (no need to keep same list) + + for cat, mess, _, mod, log in self._suppressions: + if log is not None: + del log[:] # clear the log + if mod is None: + warnings.filterwarnings( + "always", category=cat, message=mess) + else: + module_regex = mod.__name__.replace('.', r'\.') + '$' + warnings.filterwarnings( + "always", category=cat, message=mess, + module=module_regex) + self._tmp_modules.add(mod) + warnings.showwarning = self._showwarning + self._clear_registries() + + return self + + def __exit__(self, *exc_info): + warnings.showwarning = self._orig_show + warnings.filters = self._filters + self._clear_registries() + self._entered = False + del self._orig_show + del self._filters + + def _showwarning(self, message, category, filename, lineno, + *args, use_warnmsg=None, **kwargs): + for cat, _, pattern, mod, rec in ( + self._suppressions + self._tmp_suppressions)[::-1]: + if (issubclass(category, cat) and + pattern.match(message.args[0]) is not None): + if mod is None: + # Message and category match, either recorded or ignored + if rec is not None: + msg = WarningMessage(message, category, filename, + lineno, **kwargs) + self.log.append(msg) + rec.append(msg) + return + # Use startswith, because warnings strips the c or o from + # .pyc/.pyo files. + elif mod.__file__.startswith(filename): + # The message and module (filename) match + if rec is not None: + msg = WarningMessage(message, category, filename, + lineno, **kwargs) + self.log.append(msg) + rec.append(msg) + return + + # There is no filter in place, so pass to the outside handler + # unless we should only pass it once + if self._forwarding_rule == "always": + if use_warnmsg is None: + self._orig_show(message, category, filename, lineno, + *args, **kwargs) + else: + self._orig_showmsg(use_warnmsg) + return + + if self._forwarding_rule == "once": + signature = (message.args, category) + elif self._forwarding_rule == "module": + signature = (message.args, category, filename) + elif self._forwarding_rule == "location": + signature = (message.args, category, filename, lineno) + + if signature in self._forwarded: + return + self._forwarded.add(signature) + if use_warnmsg is None: + self._orig_show(message, category, filename, lineno, *args, + **kwargs) + else: + self._orig_showmsg(use_warnmsg) + + def __call__(self, func): + """ + Function decorator to apply certain suppressions to a whole + function. + """ + @wraps(func) + def new_func(*args, **kwargs): + with self: + return func(*args, **kwargs) + + return new_func + + +@contextlib.contextmanager +def _assert_no_gc_cycles_context(name=None): + __tracebackhide__ = True # Hide traceback for py.test + + # not meaningful to test if there is no refcounting + if not HAS_REFCOUNT: + yield + return + + assert_(gc.isenabled()) + gc.disable() + gc_debug = gc.get_debug() + try: + for i in range(100): + if gc.collect() == 0: + break + else: + raise RuntimeError( + "Unable to fully collect garbage - perhaps a __del__ method " + "is creating more reference cycles?") + + gc.set_debug(gc.DEBUG_SAVEALL) + yield + # gc.collect returns the number of unreachable objects in cycles that + # were found -- we are checking that no cycles were created in the context + n_objects_in_cycles = gc.collect() + objects_in_cycles = gc.garbage[:] + finally: + del gc.garbage[:] + gc.set_debug(gc_debug) + gc.enable() + + if n_objects_in_cycles: + name_str = f' when calling {name}' if name is not None else '' + raise AssertionError( + "Reference cycles were found{}: {} objects were collected, " + "of which {} are shown below:{}" + .format( + name_str, + n_objects_in_cycles, + len(objects_in_cycles), + ''.join( + "\n {} object with id={}:\n {}".format( + type(o).__name__, + id(o), + pprint.pformat(o).replace('\n', '\n ') + ) for o in objects_in_cycles + ) + ) + ) + + +def assert_no_gc_cycles(*args, **kwargs): + """ + Fail if the given callable produces any reference cycles. + + If called with all arguments omitted, may be used as a context manager: + + with assert_no_gc_cycles(): + do_something() + + .. versionadded:: 1.15.0 + + Parameters + ---------- + func : callable + The callable to test. + \\*args : Arguments + Arguments passed to `func`. + \\*\\*kwargs : Kwargs + Keyword arguments passed to `func`. + + Returns + ------- + Nothing. The result is deliberately discarded to ensure that all cycles + are found. + + """ + if not args: + return _assert_no_gc_cycles_context() + + func = args[0] + args = args[1:] + with _assert_no_gc_cycles_context(name=func.__name__): + func(*args, **kwargs) + + +def break_cycles(): + """ + Break reference cycles by calling gc.collect + Objects can call other objects' methods (for instance, another object's + __del__) inside their own __del__. On PyPy, the interpreter only runs + between calls to gc.collect, so multiple calls are needed to completely + release all cycles. + """ + + gc.collect() + if IS_PYPY: + # a few more, just to make sure all the finalizers are called + gc.collect() + gc.collect() + gc.collect() + gc.collect() + + +def requires_memory(free_bytes): + """Decorator to skip a test if not enough memory is available""" + import pytest + + def decorator(func): + @wraps(func) + def wrapper(*a, **kw): + msg = check_free_memory(free_bytes) + if msg is not None: + pytest.skip(msg) + + try: + return func(*a, **kw) + except MemoryError: + # Probably ran out of memory regardless: don't regard as failure + pytest.xfail("MemoryError raised") + + return wrapper + + return decorator + + +def check_free_memory(free_bytes): + """ + Check whether `free_bytes` amount of memory is currently free. + Returns: None if enough memory available, otherwise error message + """ + env_var = 'NPY_AVAILABLE_MEM' + env_value = os.environ.get(env_var) + if env_value is not None: + try: + mem_free = _parse_size(env_value) + except ValueError as exc: + raise ValueError(f'Invalid environment variable {env_var}: {exc}') + + msg = (f'{free_bytes/1e9} GB memory required, but environment variable ' + f'NPY_AVAILABLE_MEM={env_value} set') + else: + mem_free = _get_mem_available() + + if mem_free is None: + msg = ("Could not determine available memory; set NPY_AVAILABLE_MEM " + "environment variable (e.g. NPY_AVAILABLE_MEM=16GB) to run " + "the test.") + mem_free = -1 + else: + msg = f'{free_bytes/1e9} GB memory required, but {mem_free/1e9} GB available' + + return msg if mem_free < free_bytes else None + + +def _parse_size(size_str): + """Convert memory size strings ('12 GB' etc.) to float""" + suffixes = {'': 1, 'b': 1, + 'k': 1000, 'm': 1000**2, 'g': 1000**3, 't': 1000**4, + 'kb': 1000, 'mb': 1000**2, 'gb': 1000**3, 'tb': 1000**4, + 'kib': 1024, 'mib': 1024**2, 'gib': 1024**3, 'tib': 1024**4} + + size_re = re.compile(r'^\s*(\d+|\d+\.\d+)\s*({0})\s*$'.format( + '|'.join(suffixes.keys())), re.I) + + m = size_re.match(size_str.lower()) + if not m or m.group(2) not in suffixes: + raise ValueError(f'value {size_str!r} not a valid size') + return int(float(m.group(1)) * suffixes[m.group(2)]) + + +def _get_mem_available(): + """Return available memory in bytes, or None if unknown.""" + try: + import psutil + return psutil.virtual_memory().available + except (ImportError, AttributeError): + pass + + if sys.platform.startswith('linux'): + info = {} + with open('/proc/meminfo') as f: + for line in f: + p = line.split() + info[p[0].strip(':').lower()] = int(p[1]) * 1024 + + if 'memavailable' in info: + # Linux >= 3.14 + return info['memavailable'] + else: + return info['memfree'] + info['cached'] + + return None + + +def _no_tracing(func): + """ + Decorator to temporarily turn off tracing for the duration of a test. + Needed in tests that check refcounting, otherwise the tracing itself + influences the refcounts + """ + if not hasattr(sys, 'gettrace'): + return func + else: + @wraps(func) + def wrapper(*args, **kwargs): + original_trace = sys.gettrace() + try: + sys.settrace(None) + return func(*args, **kwargs) + finally: + sys.settrace(original_trace) + return wrapper + + +def _get_glibc_version(): + try: + ver = os.confstr('CS_GNU_LIBC_VERSION').rsplit(' ')[1] + except Exception: + ver = '0.0' + + return ver + + +_glibcver = _get_glibc_version() +_glibc_older_than = lambda x: (_glibcver != '0.0' and _glibcver < x) + diff --git a/lib/python3.12/site-packages/numpy/testing/_private/utils.pyi b/lib/python3.12/site-packages/numpy/testing/_private/utils.pyi new file mode 100644 index 0000000000000000000000000000000000000000..6baefd83bd0ae114941145349c10c583b3c43a31 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/testing/_private/utils.pyi @@ -0,0 +1,402 @@ +import os +import sys +import ast +import types +import warnings +import unittest +import contextlib +from re import Pattern +from collections.abc import Callable, Iterable, Sequence +from typing import ( + Literal as L, + Any, + AnyStr, + ClassVar, + NoReturn, + overload, + type_check_only, + TypeVar, + Union, + Final, + SupportsIndex, +) +if sys.version_info >= (3, 10): + from typing import ParamSpec +else: + from typing_extensions import ParamSpec + +from numpy import generic, dtype, number, object_, bool_, _FloatValue +from numpy._typing import ( + NDArray, + ArrayLike, + DTypeLike, + _ArrayLikeNumber_co, + _ArrayLikeObject_co, + _ArrayLikeTD64_co, + _ArrayLikeDT64_co, +) + +from unittest.case import ( + SkipTest as SkipTest, +) + +_P = ParamSpec("_P") +_T = TypeVar("_T") +_ET = TypeVar("_ET", bound=BaseException) +_FT = TypeVar("_FT", bound=Callable[..., Any]) + +# Must return a bool or an ndarray/generic type +# that is supported by `np.logical_and.reduce` +_ComparisonFunc = Callable[ + [NDArray[Any], NDArray[Any]], + Union[ + bool, + bool_, + number[Any], + NDArray[Union[bool_, number[Any], object_]], + ], +] + +__all__: list[str] + +class KnownFailureException(Exception): ... +class IgnoreException(Exception): ... + +class clear_and_catch_warnings(warnings.catch_warnings): + class_modules: ClassVar[tuple[types.ModuleType, ...]] + modules: set[types.ModuleType] + @overload + def __new__( + cls, + record: L[False] = ..., + modules: Iterable[types.ModuleType] = ..., + ) -> _clear_and_catch_warnings_without_records: ... + @overload + def __new__( + cls, + record: L[True], + modules: Iterable[types.ModuleType] = ..., + ) -> _clear_and_catch_warnings_with_records: ... + @overload + def __new__( + cls, + record: bool, + modules: Iterable[types.ModuleType] = ..., + ) -> clear_and_catch_warnings: ... + def __enter__(self) -> None | list[warnings.WarningMessage]: ... + def __exit__( + self, + __exc_type: None | type[BaseException] = ..., + __exc_val: None | BaseException = ..., + __exc_tb: None | types.TracebackType = ..., + ) -> None: ... + +# Type-check only `clear_and_catch_warnings` subclasses for both values of the +# `record` parameter. Copied from the stdlib `warnings` stubs. + +@type_check_only +class _clear_and_catch_warnings_with_records(clear_and_catch_warnings): + def __enter__(self) -> list[warnings.WarningMessage]: ... + +@type_check_only +class _clear_and_catch_warnings_without_records(clear_and_catch_warnings): + def __enter__(self) -> None: ... + +class suppress_warnings: + log: list[warnings.WarningMessage] + def __init__( + self, + forwarding_rule: L["always", "module", "once", "location"] = ..., + ) -> None: ... + def filter( + self, + category: type[Warning] = ..., + message: str = ..., + module: None | types.ModuleType = ..., + ) -> None: ... + def record( + self, + category: type[Warning] = ..., + message: str = ..., + module: None | types.ModuleType = ..., + ) -> list[warnings.WarningMessage]: ... + def __enter__(self: _T) -> _T: ... + def __exit__( + self, + __exc_type: None | type[BaseException] = ..., + __exc_val: None | BaseException = ..., + __exc_tb: None | types.TracebackType = ..., + ) -> None: ... + def __call__(self, func: _FT) -> _FT: ... + +verbose: int +IS_PYPY: Final[bool] +IS_PYSTON: Final[bool] +HAS_REFCOUNT: Final[bool] +HAS_LAPACK64: Final[bool] + +def assert_(val: object, msg: str | Callable[[], str] = ...) -> None: ... + +# Contrary to runtime we can't do `os.name` checks while type checking, +# only `sys.platform` checks +if sys.platform == "win32" or sys.platform == "cygwin": + def memusage(processName: str = ..., instance: int = ...) -> int: ... +elif sys.platform == "linux": + def memusage(_proc_pid_stat: str | bytes | os.PathLike[Any] = ...) -> None | int: ... +else: + def memusage() -> NoReturn: ... + +if sys.platform == "linux": + def jiffies( + _proc_pid_stat: str | bytes | os.PathLike[Any] = ..., + _load_time: list[float] = ..., + ) -> int: ... +else: + def jiffies(_load_time: list[float] = ...) -> int: ... + +def build_err_msg( + arrays: Iterable[object], + err_msg: str, + header: str = ..., + verbose: bool = ..., + names: Sequence[str] = ..., + precision: None | SupportsIndex = ..., +) -> str: ... + +def assert_equal( + actual: object, + desired: object, + err_msg: str = ..., + verbose: bool = ..., +) -> None: ... + +def print_assert_equal( + test_string: str, + actual: object, + desired: object, +) -> None: ... + +def assert_almost_equal( + actual: _ArrayLikeNumber_co | _ArrayLikeObject_co, + desired: _ArrayLikeNumber_co | _ArrayLikeObject_co, + decimal: int = ..., + err_msg: str = ..., + verbose: bool = ..., +) -> None: ... + +# Anything that can be coerced into `builtins.float` +def assert_approx_equal( + actual: _FloatValue, + desired: _FloatValue, + significant: int = ..., + err_msg: str = ..., + verbose: bool = ..., +) -> None: ... + +def assert_array_compare( + comparison: _ComparisonFunc, + x: ArrayLike, + y: ArrayLike, + err_msg: str = ..., + verbose: bool = ..., + header: str = ..., + precision: SupportsIndex = ..., + equal_nan: bool = ..., + equal_inf: bool = ..., + *, + strict: bool = ... +) -> None: ... + +def assert_array_equal( + x: ArrayLike, + y: ArrayLike, + err_msg: str = ..., + verbose: bool = ..., + *, + strict: bool = ... +) -> None: ... + +def assert_array_almost_equal( + x: _ArrayLikeNumber_co | _ArrayLikeObject_co, + y: _ArrayLikeNumber_co | _ArrayLikeObject_co, + decimal: float = ..., + err_msg: str = ..., + verbose: bool = ..., +) -> None: ... + +@overload +def assert_array_less( + x: _ArrayLikeNumber_co | _ArrayLikeObject_co, + y: _ArrayLikeNumber_co | _ArrayLikeObject_co, + err_msg: str = ..., + verbose: bool = ..., +) -> None: ... +@overload +def assert_array_less( + x: _ArrayLikeTD64_co, + y: _ArrayLikeTD64_co, + err_msg: str = ..., + verbose: bool = ..., +) -> None: ... +@overload +def assert_array_less( + x: _ArrayLikeDT64_co, + y: _ArrayLikeDT64_co, + err_msg: str = ..., + verbose: bool = ..., +) -> None: ... + +def runstring( + astr: str | bytes | types.CodeType, + dict: None | dict[str, Any], +) -> Any: ... + +def assert_string_equal(actual: str, desired: str) -> None: ... + +def rundocs( + filename: None | str | os.PathLike[str] = ..., + raise_on_error: bool = ..., +) -> None: ... + +def raises(*args: type[BaseException]) -> Callable[[_FT], _FT]: ... + +@overload +def assert_raises( # type: ignore + expected_exception: type[BaseException] | tuple[type[BaseException], ...], + callable: Callable[_P, Any], + /, + *args: _P.args, + **kwargs: _P.kwargs, +) -> None: ... +@overload +def assert_raises( + expected_exception: type[_ET] | tuple[type[_ET], ...], + *, + msg: None | str = ..., +) -> unittest.case._AssertRaisesContext[_ET]: ... + +@overload +def assert_raises_regex( + expected_exception: type[BaseException] | tuple[type[BaseException], ...], + expected_regex: str | bytes | Pattern[Any], + callable: Callable[_P, Any], + /, + *args: _P.args, + **kwargs: _P.kwargs, +) -> None: ... +@overload +def assert_raises_regex( + expected_exception: type[_ET] | tuple[type[_ET], ...], + expected_regex: str | bytes | Pattern[Any], + *, + msg: None | str = ..., +) -> unittest.case._AssertRaisesContext[_ET]: ... + +def decorate_methods( + cls: type[Any], + decorator: Callable[[Callable[..., Any]], Any], + testmatch: None | str | bytes | Pattern[Any] = ..., +) -> None: ... + +def measure( + code_str: str | bytes | ast.mod | ast.AST, + times: int = ..., + label: None | str = ..., +) -> float: ... + +@overload +def assert_allclose( + actual: _ArrayLikeNumber_co | _ArrayLikeObject_co, + desired: _ArrayLikeNumber_co | _ArrayLikeObject_co, + rtol: float = ..., + atol: float = ..., + equal_nan: bool = ..., + err_msg: str = ..., + verbose: bool = ..., +) -> None: ... +@overload +def assert_allclose( + actual: _ArrayLikeTD64_co, + desired: _ArrayLikeTD64_co, + rtol: float = ..., + atol: float = ..., + equal_nan: bool = ..., + err_msg: str = ..., + verbose: bool = ..., +) -> None: ... + +def assert_array_almost_equal_nulp( + x: _ArrayLikeNumber_co, + y: _ArrayLikeNumber_co, + nulp: float = ..., +) -> None: ... + +def assert_array_max_ulp( + a: _ArrayLikeNumber_co, + b: _ArrayLikeNumber_co, + maxulp: float = ..., + dtype: DTypeLike = ..., +) -> NDArray[Any]: ... + +@overload +def assert_warns( + warning_class: type[Warning], +) -> contextlib._GeneratorContextManager[None]: ... +@overload +def assert_warns( + warning_class: type[Warning], + func: Callable[_P, _T], + /, + *args: _P.args, + **kwargs: _P.kwargs, +) -> _T: ... + +@overload +def assert_no_warnings() -> contextlib._GeneratorContextManager[None]: ... +@overload +def assert_no_warnings( + func: Callable[_P, _T], + /, + *args: _P.args, + **kwargs: _P.kwargs, +) -> _T: ... + +@overload +def tempdir( + suffix: None = ..., + prefix: None = ..., + dir: None = ..., +) -> contextlib._GeneratorContextManager[str]: ... +@overload +def tempdir( + suffix: None | AnyStr = ..., + prefix: None | AnyStr = ..., + dir: None | AnyStr | os.PathLike[AnyStr] = ..., +) -> contextlib._GeneratorContextManager[AnyStr]: ... + +@overload +def temppath( + suffix: None = ..., + prefix: None = ..., + dir: None = ..., + text: bool = ..., +) -> contextlib._GeneratorContextManager[str]: ... +@overload +def temppath( + suffix: None | AnyStr = ..., + prefix: None | AnyStr = ..., + dir: None | AnyStr | os.PathLike[AnyStr] = ..., + text: bool = ..., +) -> contextlib._GeneratorContextManager[AnyStr]: ... + +@overload +def assert_no_gc_cycles() -> contextlib._GeneratorContextManager[None]: ... +@overload +def assert_no_gc_cycles( + func: Callable[_P, Any], + /, + *args: _P.args, + **kwargs: _P.kwargs, +) -> None: ... + +def break_cycles() -> None: ... diff --git a/lib/python3.12/site-packages/numpy/testing/overrides.py b/lib/python3.12/site-packages/numpy/testing/overrides.py new file mode 100644 index 0000000000000000000000000000000000000000..edc7132c20409cae54f549f4e2c8fe2e295da504 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/testing/overrides.py @@ -0,0 +1,83 @@ +"""Tools for testing implementations of __array_function__ and ufunc overrides + + +""" + +from numpy.core.overrides import ARRAY_FUNCTIONS as _array_functions +from numpy import ufunc as _ufunc +import numpy.core.umath as _umath + +def get_overridable_numpy_ufuncs(): + """List all numpy ufuncs overridable via `__array_ufunc__` + + Parameters + ---------- + None + + Returns + ------- + set + A set containing all overridable ufuncs in the public numpy API. + """ + ufuncs = {obj for obj in _umath.__dict__.values() + if isinstance(obj, _ufunc)} + return ufuncs + + +def allows_array_ufunc_override(func): + """Determine if a function can be overridden via `__array_ufunc__` + + Parameters + ---------- + func : callable + Function that may be overridable via `__array_ufunc__` + + Returns + ------- + bool + `True` if `func` is overridable via `__array_ufunc__` and + `False` otherwise. + + Notes + ----- + This function is equivalent to ``isinstance(func, np.ufunc)`` and + will work correctly for ufuncs defined outside of Numpy. + + """ + return isinstance(func, np.ufunc) + + +def get_overridable_numpy_array_functions(): + """List all numpy functions overridable via `__array_function__` + + Parameters + ---------- + None + + Returns + ------- + set + A set containing all functions in the public numpy API that are + overridable via `__array_function__`. + + """ + # 'import numpy' doesn't import recfunctions, so make sure it's imported + # so ufuncs defined there show up in the ufunc listing + from numpy.lib import recfunctions + return _array_functions.copy() + +def allows_array_function_override(func): + """Determine if a Numpy function can be overridden via `__array_function__` + + Parameters + ---------- + func : callable + Function that may be overridable via `__array_function__` + + Returns + ------- + bool + `True` if `func` is a function in the Numpy API that is + overridable via `__array_function__` and `False` otherwise. + """ + return func in _array_functions diff --git a/lib/python3.12/site-packages/numpy/testing/print_coercion_tables.py b/lib/python3.12/site-packages/numpy/testing/print_coercion_tables.py new file mode 100644 index 0000000000000000000000000000000000000000..c1d4cdff8fd0b7e9cb9b539d9a49f3374a098a11 --- /dev/null +++ b/lib/python3.12/site-packages/numpy/testing/print_coercion_tables.py @@ -0,0 +1,200 @@ +#!/usr/bin/env python3 +"""Prints type-coercion tables for the built-in NumPy types + +""" +import numpy as np +from collections import namedtuple + +# Generic object that can be added, but doesn't do anything else +class GenericObject: + def __init__(self, v): + self.v = v + + def __add__(self, other): + return self + + def __radd__(self, other): + return self + + dtype = np.dtype('O') + +def print_cancast_table(ntypes): + print('X', end=' ') + for char in ntypes: + print(char, end=' ') + print() + for row in ntypes: + print(row, end=' ') + for col in ntypes: + if np.can_cast(row, col, "equiv"): + cast = "#" + elif np.can_cast(row, col, "safe"): + cast = "=" + elif np.can_cast(row, col, "same_kind"): + cast = "~" + elif np.can_cast(row, col, "unsafe"): + cast = "." + else: + cast = " " + print(cast, end=' ') + print() + +def print_coercion_table(ntypes, inputfirstvalue, inputsecondvalue, firstarray, use_promote_types=False): + print('+', end=' ') + for char in ntypes: + print(char, end=' ') + print() + for row in ntypes: + if row == 'O': + rowtype = GenericObject + else: + rowtype = np.obj2sctype(row) + + print(row, end=' ') + for col in ntypes: + if col == 'O': + coltype = GenericObject + else: + coltype = np.obj2sctype(col) + try: + if firstarray: + rowvalue = np.array([rowtype(inputfirstvalue)], dtype=rowtype) + else: + rowvalue = rowtype(inputfirstvalue) + colvalue = coltype(inputsecondvalue) + if use_promote_types: + char = np.promote_types(rowvalue.dtype, colvalue.dtype).char + else: + value = np.add(rowvalue, colvalue) + if isinstance(value, np.ndarray): + char = value.dtype.char + else: + char = np.dtype(type(value)).char + except ValueError: + char = '!' + except OverflowError: + char = '@' + except TypeError: + char = '#' + print(char, end=' ') + print() + + +def print_new_cast_table(*, can_cast=True, legacy=False, flags=False): + """Prints new casts, the values given are default "can-cast" values, not + actual ones. + """ + from numpy.core._multiarray_tests import get_all_cast_information + + cast_table = { + -1: " ", + 0: "#", # No cast (classify as equivalent here) + 1: "#", # equivalent casting + 2: "=", # safe casting + 3: "~", # same-kind casting + 4: ".", # unsafe casting + } + flags_table = { + 0 : "▗", 7: "█", + 1: "▚", 2: "▐", 4: "▄", + 3: "▜", 5: "▙", + 6: "▟", + } + + cast_info = namedtuple("cast_info", ["can_cast", "legacy", "flags"]) + no_cast_info = cast_info(" ", " ", " ") + + casts = get_all_cast_information() + table = {} + dtypes = set() + for cast in casts: + dtypes.add(cast["from"]) + dtypes.add(cast["to"]) + + if cast["from"] not in table: + table[cast["from"]] = {} + to_dict = table[cast["from"]] + + can_cast = cast_table[cast["casting"]] + legacy = "L" if cast["legacy"] else "." + flags = 0 + if cast["requires_pyapi"]: + flags |= 1 + if cast["supports_unaligned"]: + flags |= 2 + if cast["no_floatingpoint_errors"]: + flags |= 4 + + flags = flags_table[flags] + to_dict[cast["to"]] = cast_info(can_cast=can_cast, legacy=legacy, flags=flags) + + # The np.dtype(x.type) is a bit strange, because dtype classes do + # not expose much yet. + types = np.typecodes["All"] + def sorter(x): + # This is a bit weird hack, to get a table as close as possible to + # the one printing all typecodes (but expecting user-dtypes). + dtype = np.dtype(x.type) + try: + indx = types.index(dtype.char) + except ValueError: + indx = np.inf + return (indx, dtype.char) + + dtypes = sorted(dtypes, key=sorter) + + def print_table(field="can_cast"): + print('X', end=' ') + for dt in dtypes: + print(np.dtype(dt.type).char, end=' ') + print() + for from_dt in dtypes: + print(np.dtype(from_dt.type).char, end=' ') + row = table.get(from_dt, {}) + for to_dt in dtypes: + print(getattr(row.get(to_dt, no_cast_info), field), end=' ') + print() + + if can_cast: + # Print the actual table: + print() + print("Casting: # is equivalent, = is safe, ~ is same-kind, and . is unsafe") + print() + print_table("can_cast") + + if legacy: + print() + print("L denotes a legacy cast . a non-legacy one.") + print() + print_table("legacy") + + if flags: + print() + print(f"{flags_table[0]}: no flags, {flags_table[1]}: PyAPI, " + f"{flags_table[2]}: supports unaligned, {flags_table[4]}: no-float-errors") + print() + print_table("flags") + + +if __name__ == '__main__': + print("can cast") + print_cancast_table(np.typecodes['All']) + print() + print("In these tables, ValueError is '!', OverflowError is '@', TypeError is '#'") + print() + print("scalar + scalar") + print_coercion_table(np.typecodes['All'], 0, 0, False) + print() + print("scalar + neg scalar") + print_coercion_table(np.typecodes['All'], 0, -1, False) + print() + print("array + scalar") + print_coercion_table(np.typecodes['All'], 0, 0, True) + print() + print("array + neg scalar") + print_coercion_table(np.typecodes['All'], 0, -1, True) + print() + print("promote_types") + print_coercion_table(np.typecodes['All'], 0, 0, False, True) + print("New casting type promotion:") + print_new_cast_table(can_cast=True, legacy=True, flags=True) diff --git a/lib/python3.12/site-packages/numpy/testing/setup.py b/lib/python3.12/site-packages/numpy/testing/setup.py new file mode 100644 index 0000000000000000000000000000000000000000..6f203e87271109763f2f947b711bd4124cd1138a --- /dev/null +++ b/lib/python3.12/site-packages/numpy/testing/setup.py @@ -0,0 +1,21 @@ +#!/usr/bin/env python3 + +def configuration(parent_package='',top_path=None): + from numpy.distutils.misc_util import Configuration + config = Configuration('testing', parent_package, top_path) + + config.add_subpackage('_private') + config.add_subpackage('tests') + config.add_data_files('*.pyi') + config.add_data_files('_private/*.pyi') + return config + +if __name__ == '__main__': + from numpy.distutils.core import setup + setup(maintainer="NumPy Developers", + maintainer_email="numpy-dev@numpy.org", + description="NumPy test module", + url="https://www.numpy.org", + license="NumPy License (BSD Style)", + configuration=configuration, + ) diff --git a/lib/python3.12/site-packages/numpy/testing/tests/__init__.py b/lib/python3.12/site-packages/numpy/testing/tests/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 diff --git a/lib/python3.12/site-packages/numpy/testing/tests/__pycache__/__init__.cpython-312.pyc b/lib/python3.12/site-packages/numpy/testing/tests/__pycache__/__init__.cpython-312.pyc new file mode 100644 index 0000000000000000000000000000000000000000..091308557c51c4590761d2a29ad0fd97e0406772 Binary files /dev/null and b/lib/python3.12/site-packages/numpy/testing/tests/__pycache__/__init__.cpython-312.pyc differ diff --git a/lib/python3.12/site-packages/numpy/testing/tests/test_utils.py b/lib/python3.12/site-packages/numpy/testing/tests/test_utils.py new file mode 100644 index 0000000000000000000000000000000000000000..0aaa508ee5d2e194f44c756c94ae5b3db194292e --- /dev/null +++ b/lib/python3.12/site-packages/numpy/testing/tests/test_utils.py @@ -0,0 +1,1626 @@ +import warnings +import sys +import os +import itertools +import pytest +import weakref + +import numpy as np +from numpy.testing import ( + assert_equal, assert_array_equal, assert_almost_equal, + assert_array_almost_equal, assert_array_less, build_err_msg, + assert_raises, assert_warns, assert_no_warnings, assert_allclose, + assert_approx_equal, assert_array_almost_equal_nulp, assert_array_max_ulp, + clear_and_catch_warnings, suppress_warnings, assert_string_equal, assert_, + tempdir, temppath, assert_no_gc_cycles, HAS_REFCOUNT + ) + + +class _GenericTest: + + def _test_equal(self, a, b): + self._assert_func(a, b) + + def _test_not_equal(self, a, b): + with assert_raises(AssertionError): + self._assert_func(a, b) + + def test_array_rank1_eq(self): + """Test two equal array of rank 1 are found equal.""" + a = np.array([1, 2]) + b = np.array([1, 2]) + + self._test_equal(a, b) + + def test_array_rank1_noteq(self): + """Test two different array of rank 1 are found not equal.""" + a = np.array([1, 2]) + b = np.array([2, 2]) + + self._test_not_equal(a, b) + + def test_array_rank2_eq(self): + """Test two equal array of rank 2 are found equal.""" + a = np.array([[1, 2], [3, 4]]) + b = np.array([[1, 2], [3, 4]]) + + self._test_equal(a, b) + + def test_array_diffshape(self): + """Test two arrays with different shapes are found not equal.""" + a = np.array([1, 2]) + b = np.array([[1, 2], [1, 2]]) + + self._test_not_equal(a, b) + + def test_objarray(self): + """Test object arrays.""" + a = np.array([1, 1], dtype=object) + self._test_equal(a, 1) + + def test_array_likes(self): + self._test_equal([1, 2, 3], (1, 2, 3)) + + +class TestArrayEqual(_GenericTest): + + def setup_method(self): + self._assert_func = assert_array_equal + + def test_generic_rank1(self): + """Test rank 1 array for all dtypes.""" + def foo(t): + a = np.empty(2, t) + a.fill(1) + b = a.copy() + c = a.copy() + c.fill(0) + self._test_equal(a, b) + self._test_not_equal(c, b) + + # Test numeric types and object + for t in '?bhilqpBHILQPfdgFDG': + foo(t) + + # Test strings + for t in ['S1', 'U1']: + foo(t) + + def test_0_ndim_array(self): + x = np.array(473963742225900817127911193656584771) + y = np.array(18535119325151578301457182298393896) + assert_raises(AssertionError, self._assert_func, x, y) + + y = x + self._assert_func(x, y) + + x = np.array(43) + y = np.array(10) + assert_raises(AssertionError, self._assert_func, x, y) + + y = x + self._assert_func(x, y) + + def test_generic_rank3(self): + """Test rank 3 array for all dtypes.""" + def foo(t): + a = np.empty((4, 2, 3), t) + a.fill(1) + b = a.copy() + c = a.copy() + c.fill(0) + self._test_equal(a, b) + self._test_not_equal(c, b) + + # Test numeric types and object + for t in '?bhilqpBHILQPfdgFDG': + foo(t) + + # Test strings + for t in ['S1', 'U1']: + foo(t) + + def test_nan_array(self): + """Test arrays with nan values in them.""" + a = np.array([1, 2, np.nan]) + b = np.array([1, 2, np.nan]) + + self._test_equal(a, b) + + c = np.array([1, 2, 3]) + self._test_not_equal(c, b) + + def test_string_arrays(self): + """Test two arrays with different shapes are found not equal.""" + a = np.array(['floupi', 'floupa']) + b = np.array(['floupi', 'floupa']) + + self._test_equal(a, b) + + c = np.array(['floupipi', 'floupa']) + + self._test_not_equal(c, b) + + def test_recarrays(self): + """Test record arrays.""" + a = np.empty(2, [('floupi', float), ('floupa', float)]) + a['floupi'] = [1, 2] + a['floupa'] = [1, 2] + b = a.copy() + + self._test_equal(a, b) + + c = np.empty(2, [('floupipi', float), + ('floupi', float), ('floupa', float)]) + c['floupipi'] = a['floupi'].copy() + c['floupa'] = a['floupa'].copy() + + with pytest.raises(TypeError): + self._test_not_equal(c, b) + + def test_masked_nan_inf(self): + # Regression test for gh-11121 + a = np.ma.MaskedArray([3., 4., 6.5], mask=[False, True, False]) + b = np.array([3., np.nan, 6.5]) + self._test_equal(a, b) + self._test_equal(b, a) + a = np.ma.MaskedArray([3., 4., 6.5], mask=[True, False, False]) + b = np.array([np.inf, 4., 6.5]) + self._test_equal(a, b) + self._test_equal(b, a) + + def test_subclass_that_overrides_eq(self): + # While we cannot guarantee testing functions will always work for + # subclasses, the tests should ideally rely only on subclasses having + # comparison operators, not on them being able to store booleans + # (which, e.g., astropy Quantity cannot usefully do). See gh-8452. + class MyArray(np.ndarray): + def __eq__(self, other): + return bool(np.equal(self, other).all()) + + def __ne__(self, other): + return not self == other + + a = np.array([1., 2.]).view(MyArray) + b = np.array([2., 3.]).view(MyArray) + assert_(type(a == a), bool) + assert_(a == a) + assert_(a != b) + self._test_equal(a, a) + self._test_not_equal(a, b) + self._test_not_equal(b, a) + + def test_subclass_that_does_not_implement_npall(self): + class MyArray(np.ndarray): + def __array_function__(self, *args, **kwargs): + return NotImplemented + + a = np.array([1., 2.]).view(MyArray) + b = np.array([2., 3.]).view(MyArray) + with assert_raises(TypeError): + np.all(a) + self._test_equal(a, a) + self._test_not_equal(a, b) + self._test_not_equal(b, a) + + def test_suppress_overflow_warnings(self): + # Based on issue #18992 + with pytest.raises(AssertionError): + with np.errstate(all="raise"): + np.testing.assert_array_equal( + np.array([1, 2, 3], np.float32), + np.array([1, 1e-40, 3], np.float32)) + + def test_array_vs_scalar_is_equal(self): + """Test comparing an array with a scalar when all values are equal.""" + a = np.array([1., 1., 1.]) + b = 1. + + self._test_equal(a, b) + + def test_array_vs_scalar_not_equal(self): + """Test comparing an array with a scalar when not all values equal.""" + a = np.array([1., 2., 3.]) + b = 1. + + self._test_not_equal(a, b) + + def test_array_vs_scalar_strict(self): + """Test comparing an array with a scalar with strict option.""" + a = np.array([1., 1., 1.]) + b = 1. + + with pytest.raises(AssertionError): + assert_array_equal(a, b, strict=True) + + def test_array_vs_array_strict(self): + """Test comparing two arrays with strict option.""" + a = np.array([1., 1., 1.]) + b = np.array([1., 1., 1.]) + + assert_array_equal(a, b, strict=True) + + def test_array_vs_float_array_strict(self): + """Test comparing two arrays with strict option.""" + a = np.array([1, 1, 1]) + b = np.array([1., 1., 1.]) + + with pytest.raises(AssertionError): + assert_array_equal(a, b, strict=True) + + +class TestBuildErrorMessage: + + def test_build_err_msg_defaults(self): + x = np.array([1.00001, 2.00002, 3.00003]) + y = np.array([1.00002, 2.00003, 3.00004]) + err_msg = 'There is a mismatch' + + a = build_err_msg([x, y], err_msg) + b = ('\nItems are not equal: There is a mismatch\n ACTUAL: array([' + '1.00001, 2.00002, 3.00003])\n DESIRED: array([1.00002, ' + '2.00003, 3.00004])') + assert_equal(a, b) + + def test_build_err_msg_no_verbose(self): + x = np.array([1.00001, 2.00002, 3.00003]) + y = np.array([1.00002, 2.00003, 3.00004]) + err_msg = 'There is a mismatch' + + a = build_err_msg([x, y], err_msg, verbose=False) + b = '\nItems are not equal: There is a mismatch' + assert_equal(a, b) + + def test_build_err_msg_custom_names(self): + x = np.array([1.00001, 2.00002, 3.00003]) + y = np.array([1.00002, 2.00003, 3.00004]) + err_msg = 'There is a mismatch' + + a = build_err_msg([x, y], err_msg, names=('FOO', 'BAR')) + b = ('\nItems are not equal: There is a mismatch\n FOO: array([' + '1.00001, 2.00002, 3.00003])\n BAR: array([1.00002, 2.00003, ' + '3.00004])') + assert_equal(a, b) + + def test_build_err_msg_custom_precision(self): + x = np.array([1.000000001, 2.00002, 3.00003]) + y = np.array([1.000000002, 2.00003, 3.00004]) + err_msg = 'There is a mismatch' + + a = build_err_msg([x, y], err_msg, precision=10) + b = ('\nItems are not equal: There is a mismatch\n ACTUAL: array([' + '1.000000001, 2.00002 , 3.00003 ])\n DESIRED: array([' + '1.000000002, 2.00003 , 3.00004 ])') + assert_equal(a, b) + + +class TestEqual(TestArrayEqual): + + def setup_method(self): + self._assert_func = assert_equal + + def test_nan_items(self): + self._assert_func(np.nan, np.nan) + self._assert_func([np.nan], [np.nan]) + self._test_not_equal(np.nan, [np.nan]) + self._test_not_equal(np.nan, 1) + + def test_inf_items(self): + self._assert_func(np.inf, np.inf) + self._assert_func([np.inf], [np.inf]) + self._test_not_equal(np.inf, [np.inf]) + + def test_datetime(self): + self._test_equal( + np.datetime64("2017-01-01", "s"), + np.datetime64("2017-01-01", "s") + ) + self._test_equal( + np.datetime64("2017-01-01", "s"), + np.datetime64("2017-01-01", "m") + ) + + # gh-10081 + self._test_not_equal( + np.datetime64("2017-01-01", "s"), + np.datetime64("2017-01-02", "s") + ) + self._test_not_equal( + np.datetime64("2017-01-01", "s"), + np.datetime64("2017-01-02", "m") + ) + + def test_nat_items(self): + # not a datetime + nadt_no_unit = np.datetime64("NaT") + nadt_s = np.datetime64("NaT", "s") + nadt_d = np.datetime64("NaT", "ns") + # not a timedelta + natd_no_unit = np.timedelta64("NaT") + natd_s = np.timedelta64("NaT", "s") + natd_d = np.timedelta64("NaT", "ns") + + dts = [nadt_no_unit, nadt_s, nadt_d] + tds = [natd_no_unit, natd_s, natd_d] + for a, b in itertools.product(dts, dts): + self._assert_func(a, b) + self._assert_func([a], [b]) + self._test_not_equal([a], b) + + for a, b in itertools.product(tds, tds): + self._assert_func(a, b) + self._assert_func([a], [b]) + self._test_not_equal([a], b) + + for a, b in itertools.product(tds, dts): + self._test_not_equal(a, b) + self._test_not_equal(a, [b]) + self._test_not_equal([a], [b]) + self._test_not_equal([a], np.datetime64("2017-01-01", "s")) + self._test_not_equal([b], np.datetime64("2017-01-01", "s")) + self._test_not_equal([a], np.timedelta64(123, "s")) + self._test_not_equal([b], np.timedelta64(123, "s")) + + def test_non_numeric(self): + self._assert_func('ab', 'ab') + self._test_not_equal('ab', 'abb') + + def test_complex_item(self): + self._assert_func(complex(1, 2), complex(1, 2)) + self._assert_func(complex(1, np.nan), complex(1, np.nan)) + self._test_not_equal(complex(1, np.nan), complex(1, 2)) + self._test_not_equal(complex(np.nan, 1), complex(1, np.nan)) + self._test_not_equal(complex(np.nan, np.inf), complex(np.nan, 2)) + + def test_negative_zero(self): + self._test_not_equal(np.PZERO, np.NZERO) + + def test_complex(self): + x = np.array([complex(1, 2), complex(1, np.nan)]) + y = np.array([complex(1, 2), complex(1, 2)]) + self._assert_func(x, x) + self._test_not_equal(x, y) + + def test_object(self): + #gh-12942 + import datetime + a = np.array([datetime.datetime(2000, 1, 1), + datetime.datetime(2000, 1, 2)]) + self._test_not_equal(a, a[::-1]) + + +class TestArrayAlmostEqual(_GenericTest): + + def setup_method(self): + self._assert_func = assert_array_almost_equal + + def test_closeness(self): + # Note that in the course of time we ended up with + # `abs(x - y) < 1.5 * 10**(-decimal)` + # instead of the previously documented + # `abs(x - y) < 0.5 * 10**(-decimal)` + # so this check serves to preserve the wrongness. + + # test scalars + self._assert_func(1.499999, 0.0, decimal=0) + assert_raises(AssertionError, + lambda: self._assert_func(1.5, 0.0, decimal=0)) + + # test arrays + self._assert_func([1.499999], [0.0], decimal=0) + assert_raises(AssertionError, + lambda: self._assert_func([1.5], [0.0], decimal=0)) + + def test_simple(self): + x = np.array([1234.2222]) + y = np.array([1234.2223]) + + self._assert_func(x, y, decimal=3) + self._assert_func(x, y, decimal=4) + assert_raises(AssertionError, + lambda: self._assert_func(x, y, decimal=5)) + + def test_nan(self): + anan = np.array([np.nan]) + aone = np.array([1]) + ainf = np.array([np.inf]) + self._assert_func(anan, anan) + assert_raises(AssertionError, + lambda: self._assert_func(anan, aone)) + assert_raises(AssertionError, + lambda: self._assert_func(anan, ainf)) + assert_raises(AssertionError, + lambda: self._assert_func(ainf, anan)) + + def test_inf(self): + a = np.array([[1., 2.], [3., 4.]]) + b = a.copy() + a[0, 0] = np.inf + assert_raises(AssertionError, + lambda: self._assert_func(a, b)) + b[0, 0] = -np.inf + assert_raises(AssertionError, + lambda: self._assert_func(a, b)) + + def test_subclass(self): + a = np.array([[1., 2.], [3., 4.]]) + b = np.ma.masked_array([[1., 2.], [0., 4.]], + [[False, False], [True, False]]) + self._assert_func(a, b) + self._assert_func(b, a) + self._assert_func(b, b) + + # Test fully masked as well (see gh-11123). + a = np.ma.MaskedArray(3.5, mask=True) + b = np.array([3., 4., 6.5]) + self._test_equal(a, b) + self._test_equal(b, a) + a = np.ma.masked + b = np.array([3., 4., 6.5]) + self._test_equal(a, b) + self._test_equal(b, a) + a = np.ma.MaskedArray([3., 4., 6.5], mask=[True, True, True]) + b = np.array([1., 2., 3.]) + self._test_equal(a, b) + self._test_equal(b, a) + a = np.ma.MaskedArray([3., 4., 6.5], mask=[True, True, True]) + b = np.array(1.) + self._test_equal(a, b) + self._test_equal(b, a) + + def test_subclass_that_cannot_be_bool(self): + # While we cannot guarantee testing functions will always work for + # subclasses, the tests should ideally rely only on subclasses having + # comparison operators, not on them being able to store booleans + # (which, e.g., astropy Quantity cannot usefully do). See gh-8452. + class MyArray(np.ndarray): + def __eq__(self, other): + return super().__eq__(other).view(np.ndarray) + + def __lt__(self, other): + return super().__lt__(other).view(np.ndarray) + + def all(self, *args, **kwargs): + raise NotImplementedError + + a = np.array([1., 2.]).view(MyArray) + self._assert_func(a, a) + + +class TestAlmostEqual(_GenericTest): + + def setup_method(self): + self._assert_func = assert_almost_equal + + def test_closeness(self): + # Note that in the course of time we ended up with + # `abs(x - y) < 1.5 * 10**(-decimal)` + # instead of the previously documented + # `abs(x - y) < 0.5 * 10**(-decimal)` + # so this check serves to preserve the wrongness. + + # test scalars + self._assert_func(1.499999, 0.0, decimal=0) + assert_raises(AssertionError, + lambda: self._assert_func(1.5, 0.0, decimal=0)) + + # test arrays + self._assert_func([1.499999], [0.0], decimal=0) + assert_raises(AssertionError, + lambda: self._assert_func([1.5], [0.0], decimal=0)) + + def test_nan_item(self): + self._assert_func(np.nan, np.nan) + assert_raises(AssertionError, + lambda: self._assert_func(np.nan, 1)) + assert_raises(AssertionError, + lambda: self._assert_func(np.nan, np.inf)) + assert_raises(AssertionError, + lambda: self._assert_func(np.inf, np.nan)) + + def test_inf_item(self): + self._assert_func(np.inf, np.inf) + self._assert_func(-np.inf, -np.inf) + assert_raises(AssertionError, + lambda: self._assert_func(np.inf, 1)) + assert_raises(AssertionError, + lambda: self._assert_func(-np.inf, np.inf)) + + def test_simple_item(self): + self._test_not_equal(1, 2) + + def test_complex_item(self): + self._assert_func(complex(1, 2), complex(1, 2)) + self._assert_func(complex(1, np.nan), complex(1, np.nan)) + self._assert_func(complex(np.inf, np.nan), complex(np.inf, np.nan)) + self._test_not_equal(complex(1, np.nan), complex(1, 2)) + self._test_not_equal(complex(np.nan, 1), complex(1, np.nan)) + self._test_not_equal(complex(np.nan, np.inf), complex(np.nan, 2)) + + def test_complex(self): + x = np.array([complex(1, 2), complex(1, np.nan)]) + z = np.array([complex(1, 2), complex(np.nan, 1)]) + y = np.array([complex(1, 2), complex(1, 2)]) + self._assert_func(x, x) + self._test_not_equal(x, y) + self._test_not_equal(x, z) + + def test_error_message(self): + """Check the message is formatted correctly for the decimal value. + Also check the message when input includes inf or nan (gh12200)""" + x = np.array([1.00000000001, 2.00000000002, 3.00003]) + y = np.array([1.00000000002, 2.00000000003, 3.00004]) + + # Test with a different amount of decimal digits + with pytest.raises(AssertionError) as exc_info: + self._assert_func(x, y, decimal=12) + msgs = str(exc_info.value).split('\n') + assert_equal(msgs[3], 'Mismatched elements: 3 / 3 (100%)') + assert_equal(msgs[4], 'Max absolute difference: 1.e-05') + assert_equal(msgs[5], 'Max relative difference: 3.33328889e-06') + assert_equal( + msgs[6], + ' x: array([1.00000000001, 2.00000000002, 3.00003 ])') + assert_equal( + msgs[7], + ' y: array([1.00000000002, 2.00000000003, 3.00004 ])') + + # With the default value of decimal digits, only the 3rd element + # differs. Note that we only check for the formatting of the arrays + # themselves. + with pytest.raises(AssertionError) as exc_info: + self._assert_func(x, y) + msgs = str(exc_info.value).split('\n') + assert_equal(msgs[3], 'Mismatched elements: 1 / 3 (33.3%)') + assert_equal(msgs[4], 'Max absolute difference: 1.e-05') + assert_equal(msgs[5], 'Max relative difference: 3.33328889e-06') + assert_equal(msgs[6], ' x: array([1. , 2. , 3.00003])') + assert_equal(msgs[7], ' y: array([1. , 2. , 3.00004])') + + # Check the error message when input includes inf + x = np.array([np.inf, 0]) + y = np.array([np.inf, 1]) + with pytest.raises(AssertionError) as exc_info: + self._assert_func(x, y) + msgs = str(exc_info.value).split('\n') + assert_equal(msgs[3], 'Mismatched elements: 1 / 2 (50%)') + assert_equal(msgs[4], 'Max absolute difference: 1.') + assert_equal(msgs[5], 'Max relative difference: 1.') + assert_equal(msgs[6], ' x: array([inf, 0.])') + assert_equal(msgs[7], ' y: array([inf, 1.])') + + # Check the error message when dividing by zero + x = np.array([1, 2]) + y = np.array([0, 0]) + with pytest.raises(AssertionError) as exc_info: + self._assert_func(x, y) + msgs = str(exc_info.value).split('\n') + assert_equal(msgs[3], 'Mismatched elements: 2 / 2 (100%)') + assert_equal(msgs[4], 'Max absolute difference: 2') + assert_equal(msgs[5], 'Max relative difference: inf') + + def test_error_message_2(self): + """Check the message is formatted correctly when either x or y is a scalar.""" + x = 2 + y = np.ones(20) + with pytest.raises(AssertionError) as exc_info: + self._assert_func(x, y) + msgs = str(exc_info.value).split('\n') + assert_equal(msgs[3], 'Mismatched elements: 20 / 20 (100%)') + assert_equal(msgs[4], 'Max absolute difference: 1.') + assert_equal(msgs[5], 'Max relative difference: 1.') + + y = 2 + x = np.ones(20) + with pytest.raises(AssertionError) as exc_info: + self._assert_func(x, y) + msgs = str(exc_info.value).split('\n') + assert_equal(msgs[3], 'Mismatched elements: 20 / 20 (100%)') + assert_equal(msgs[4], 'Max absolute difference: 1.') + assert_equal(msgs[5], 'Max relative difference: 0.5') + + def test_subclass_that_cannot_be_bool(self): + # While we cannot guarantee testing functions will always work for + # subclasses, the tests should ideally rely only on subclasses having + # comparison operators, not on them being able to store booleans + # (which, e.g., astropy Quantity cannot usefully do). See gh-8452. + class MyArray(np.ndarray): + def __eq__(self, other): + return super().__eq__(other).view(np.ndarray) + + def __lt__(self, other): + return super().__lt__(other).view(np.ndarray) + + def all(self, *args, **kwargs): + raise NotImplementedError + + a = np.array([1., 2.]).view(MyArray) + self._assert_func(a, a) + + +class TestApproxEqual: + + def setup_method(self): + self._assert_func = assert_approx_equal + + def test_simple_0d_arrays(self): + x = np.array(1234.22) + y = np.array(1234.23) + + self._assert_func(x, y, significant=5) + self._assert_func(x, y, significant=6) + assert_raises(AssertionError, + lambda: self._assert_func(x, y, significant=7)) + + def test_simple_items(self): + x = 1234.22 + y = 1234.23 + + self._assert_func(x, y, significant=4) + self._assert_func(x, y, significant=5) + self._assert_func(x, y, significant=6) + assert_raises(AssertionError, + lambda: self._assert_func(x, y, significant=7)) + + def test_nan_array(self): + anan = np.array(np.nan) + aone = np.array(1) + ainf = np.array(np.inf) + self._assert_func(anan, anan) + assert_raises(AssertionError, lambda: self._assert_func(anan, aone)) + assert_raises(AssertionError, lambda: self._assert_func(anan, ainf)) + assert_raises(AssertionError, lambda: self._assert_func(ainf, anan)) + + def test_nan_items(self): + anan = np.array(np.nan) + aone = np.array(1) + ainf = np.array(np.inf) + self._assert_func(anan, anan) + assert_raises(AssertionError, lambda: self._assert_func(anan, aone)) + assert_raises(AssertionError, lambda: self._assert_func(anan, ainf)) + assert_raises(AssertionError, lambda: self._assert_func(ainf, anan)) + + +class TestArrayAssertLess: + + def setup_method(self): + self._assert_func = assert_array_less + + def test_simple_arrays(self): + x = np.array([1.1, 2.2]) + y = np.array([1.2, 2.3]) + + self._assert_func(x, y) + assert_raises(AssertionError, lambda: self._assert_func(y, x)) + + y = np.array([1.0, 2.3]) + + assert_raises(AssertionError, lambda: self._assert_func(x, y)) + assert_raises(AssertionError, lambda: self._assert_func(y, x)) + + def test_rank2(self): + x = np.array([[1.1, 2.2], [3.3, 4.4]]) + y = np.array([[1.2, 2.3], [3.4, 4.5]]) + + self._assert_func(x, y) + assert_raises(AssertionError, lambda: self._assert_func(y, x)) + + y = np.array([[1.0, 2.3], [3.4, 4.5]]) + + assert_raises(AssertionError, lambda: self._assert_func(x, y)) + assert_raises(AssertionError, lambda: self._assert_func(y, x)) + + def test_rank3(self): + x = np.ones(shape=(2, 2, 2)) + y = np.ones(shape=(2, 2, 2))+1 + + self._assert_func(x, y) + assert_raises(AssertionError, lambda: self._assert_func(y, x)) + + y[0, 0, 0] = 0 + + assert_raises(AssertionError, lambda: self._assert_func(x, y)) + assert_raises(AssertionError, lambda: self._assert_func(y, x)) + + def test_simple_items(self): + x = 1.1 + y = 2.2 + + self._assert_func(x, y) + assert_raises(AssertionError, lambda: self._assert_func(y, x)) + + y = np.array([2.2, 3.3]) + + self._assert_func(x, y) + assert_raises(AssertionError, lambda: self._assert_func(y, x)) + + y = np.array([1.0, 3.3]) + + assert_raises(AssertionError, lambda: self._assert_func(x, y)) + + def test_nan_noncompare(self): + anan = np.array(np.nan) + aone = np.array(1) + ainf = np.array(np.inf) + self._assert_func(anan, anan) + assert_raises(AssertionError, lambda: self._assert_func(aone, anan)) + assert_raises(AssertionError, lambda: self._assert_func(anan, aone)) + assert_raises(AssertionError, lambda: self._assert_func(anan, ainf)) + assert_raises(AssertionError, lambda: self._assert_func(ainf, anan)) + + def test_nan_noncompare_array(self): + x = np.array([1.1, 2.2, 3.3]) + anan = np.array(np.nan) + + assert_raises(AssertionError, lambda: self._assert_func(x, anan)) + assert_raises(AssertionError, lambda: self._assert_func(anan, x)) + + x = np.array([1.1, 2.2, np.nan]) + + assert_raises(AssertionError, lambda: self._assert_func(x, anan)) + assert_raises(AssertionError, lambda: self._assert_func(anan, x)) + + y = np.array([1.0, 2.0, np.nan]) + + self._assert_func(y, x) + assert_raises(AssertionError, lambda: self._assert_func(x, y)) + + def test_inf_compare(self): + aone = np.array(1) + ainf = np.array(np.inf) + + self._assert_func(aone, ainf) + self._assert_func(-ainf, aone) + self._assert_func(-ainf, ainf) + assert_raises(AssertionError, lambda: self._assert_func(ainf, aone)) + assert_raises(AssertionError, lambda: self._assert_func(aone, -ainf)) + assert_raises(AssertionError, lambda: self._assert_func(ainf, ainf)) + assert_raises(AssertionError, lambda: self._assert_func(ainf, -ainf)) + assert_raises(AssertionError, lambda: self._assert_func(-ainf, -ainf)) + + def test_inf_compare_array(self): + x = np.array([1.1, 2.2, np.inf]) + ainf = np.array(np.inf) + + assert_raises(AssertionError, lambda: self._assert_func(x, ainf)) + assert_raises(AssertionError, lambda: self._assert_func(ainf, x)) + assert_raises(AssertionError, lambda: self._assert_func(x, -ainf)) + assert_raises(AssertionError, lambda: self._assert_func(-x, -ainf)) + assert_raises(AssertionError, lambda: self._assert_func(-ainf, -x)) + self._assert_func(-ainf, x) + + +class TestWarns: + + def test_warn(self): + def f(): + warnings.warn("yo") + return 3 + + before_filters = sys.modules['warnings'].filters[:] + assert_equal(assert_warns(UserWarning, f), 3) + after_filters = sys.modules['warnings'].filters + + assert_raises(AssertionError, assert_no_warnings, f) + assert_equal(assert_no_warnings(lambda x: x, 1), 1) + + # Check that the warnings state is unchanged + assert_equal(before_filters, after_filters, + "assert_warns does not preserver warnings state") + + def test_context_manager(self): + + before_filters = sys.modules['warnings'].filters[:] + with assert_warns(UserWarning): + warnings.warn("yo") + after_filters = sys.modules['warnings'].filters + + def no_warnings(): + with assert_no_warnings(): + warnings.warn("yo") + + assert_raises(AssertionError, no_warnings) + assert_equal(before_filters, after_filters, + "assert_warns does not preserver warnings state") + + def test_warn_wrong_warning(self): + def f(): + warnings.warn("yo", DeprecationWarning) + + failed = False + with warnings.catch_warnings(): + warnings.simplefilter("error", DeprecationWarning) + try: + # Should raise a DeprecationWarning + assert_warns(UserWarning, f) + failed = True + except DeprecationWarning: + pass + + if failed: + raise AssertionError("wrong warning caught by assert_warn") + + +class TestAssertAllclose: + + def test_simple(self): + x = 1e-3 + y = 1e-9 + + assert_allclose(x, y, atol=1) + assert_raises(AssertionError, assert_allclose, x, y) + + a = np.array([x, y, x, y]) + b = np.array([x, y, x, x]) + + assert_allclose(a, b, atol=1) + assert_raises(AssertionError, assert_allclose, a, b) + + b[-1] = y * (1 + 1e-8) + assert_allclose(a, b) + assert_raises(AssertionError, assert_allclose, a, b, rtol=1e-9) + + assert_allclose(6, 10, rtol=0.5) + assert_raises(AssertionError, assert_allclose, 10, 6, rtol=0.5) + + def test_min_int(self): + a = np.array([np.iinfo(np.int_).min], dtype=np.int_) + # Should not raise: + assert_allclose(a, a) + + def test_report_fail_percentage(self): + a = np.array([1, 1, 1, 1]) + b = np.array([1, 1, 1, 2]) + + with pytest.raises(AssertionError) as exc_info: + assert_allclose(a, b) + msg = str(exc_info.value) + assert_('Mismatched elements: 1 / 4 (25%)\n' + 'Max absolute difference: 1\n' + 'Max relative difference: 0.5' in msg) + + def test_equal_nan(self): + a = np.array([np.nan]) + b = np.array([np.nan]) + # Should not raise: + assert_allclose(a, b, equal_nan=True) + + def test_not_equal_nan(self): + a = np.array([np.nan]) + b = np.array([np.nan]) + assert_raises(AssertionError, assert_allclose, a, b, equal_nan=False) + + def test_equal_nan_default(self): + # Make sure equal_nan default behavior remains unchanged. (All + # of these functions use assert_array_compare under the hood.) + # None of these should raise. + a = np.array([np.nan]) + b = np.array([np.nan]) + assert_array_equal(a, b) + assert_array_almost_equal(a, b) + assert_array_less(a, b) + assert_allclose(a, b) + + def test_report_max_relative_error(self): + a = np.array([0, 1]) + b = np.array([0, 2]) + + with pytest.raises(AssertionError) as exc_info: + assert_allclose(a, b) + msg = str(exc_info.value) + assert_('Max relative difference: 0.5' in msg) + + def test_timedelta(self): + # see gh-18286 + a = np.array([[1, 2, 3, "NaT"]], dtype="m8[ns]") + assert_allclose(a, a) + + def test_error_message_unsigned(self): + """Check the the message is formatted correctly when overflow can occur + (gh21768)""" + # Ensure to test for potential overflow in the case of: + # x - y + # and + # y - x + x = np.asarray([0, 1, 8], dtype='uint8') + y = np.asarray([4, 4, 4], dtype='uint8') + with pytest.raises(AssertionError) as exc_info: + assert_allclose(x, y, atol=3) + msgs = str(exc_info.value).split('\n') + assert_equal(msgs[4], 'Max absolute difference: 4') + + +class TestArrayAlmostEqualNulp: + + def test_float64_pass(self): + # The number of units of least precision + # In this case, use a few places above the lowest level (ie nulp=1) + nulp = 5 + x = np.linspace(-20, 20, 50, dtype=np.float64) + x = 10**x + x = np.r_[-x, x] + + # Addition + eps = np.finfo(x.dtype).eps + y = x + x*eps*nulp/2. + assert_array_almost_equal_nulp(x, y, nulp) + + # Subtraction + epsneg = np.finfo(x.dtype).epsneg + y = x - x*epsneg*nulp/2. + assert_array_almost_equal_nulp(x, y, nulp) + + def test_float64_fail(self): + nulp = 5 + x = np.linspace(-20, 20, 50, dtype=np.float64) + x = 10**x + x = np.r_[-x, x] + + eps = np.finfo(x.dtype).eps + y = x + x*eps*nulp*2. + assert_raises(AssertionError, assert_array_almost_equal_nulp, + x, y, nulp) + + epsneg = np.finfo(x.dtype).epsneg + y = x - x*epsneg*nulp*2. + assert_raises(AssertionError, assert_array_almost_equal_nulp, + x, y, nulp) + + def test_float64_ignore_nan(self): + # Ignore ULP differences between various NAN's + # Note that MIPS may reverse quiet and signaling nans + # so we use the builtin version as a base. + offset = np.uint64(0xffffffff) + nan1_i64 = np.array(np.nan, dtype=np.float64).view(np.uint64) + nan2_i64 = nan1_i64 ^ offset # nan payload on MIPS is all ones. + nan1_f64 = nan1_i64.view(np.float64) + nan2_f64 = nan2_i64.view(np.float64) + assert_array_max_ulp(nan1_f64, nan2_f64, 0) + + def test_float32_pass(self): + nulp = 5 + x = np.linspace(-20, 20, 50, dtype=np.float32) + x = 10**x + x = np.r_[-x, x] + + eps = np.finfo(x.dtype).eps + y = x + x*eps*nulp/2. + assert_array_almost_equal_nulp(x, y, nulp) + + epsneg = np.finfo(x.dtype).epsneg + y = x - x*epsneg*nulp/2. + assert_array_almost_equal_nulp(x, y, nulp) + + def test_float32_fail(self): + nulp = 5 + x = np.linspace(-20, 20, 50, dtype=np.float32) + x = 10**x + x = np.r_[-x, x] + + eps = np.finfo(x.dtype).eps + y = x + x*eps*nulp*2. + assert_raises(AssertionError, assert_array_almost_equal_nulp, + x, y, nulp) + + epsneg = np.finfo(x.dtype).epsneg + y = x - x*epsneg*nulp*2. + assert_raises(AssertionError, assert_array_almost_equal_nulp, + x, y, nulp) + + def test_float32_ignore_nan(self): + # Ignore ULP differences between various NAN's + # Note that MIPS may reverse quiet and signaling nans + # so we use the builtin version as a base. + offset = np.uint32(0xffff) + nan1_i32 = np.array(np.nan, dtype=np.float32).view(np.uint32) + nan2_i32 = nan1_i32 ^ offset # nan payload on MIPS is all ones. + nan1_f32 = nan1_i32.view(np.float32) + nan2_f32 = nan2_i32.view(np.float32) + assert_array_max_ulp(nan1_f32, nan2_f32, 0) + + def test_float16_pass(self): + nulp = 5 + x = np.linspace(-4, 4, 10, dtype=np.float16) + x = 10**x + x = np.r_[-x, x] + + eps = np.finfo(x.dtype).eps + y = x + x*eps*nulp/2. + assert_array_almost_equal_nulp(x, y, nulp) + + epsneg = np.finfo(x.dtype).epsneg + y = x - x*epsneg*nulp/2. + assert_array_almost_equal_nulp(x, y, nulp) + + def test_float16_fail(self): + nulp = 5 + x = np.linspace(-4, 4, 10, dtype=np.float16) + x = 10**x + x = np.r_[-x, x] + + eps = np.finfo(x.dtype).eps + y = x + x*eps*nulp*2. + assert_raises(AssertionError, assert_array_almost_equal_nulp, + x, y, nulp) + + epsneg = np.finfo(x.dtype).epsneg + y = x - x*epsneg*nulp*2. + assert_raises(AssertionError, assert_array_almost_equal_nulp, + x, y, nulp) + + def test_float16_ignore_nan(self): + # Ignore ULP differences between various NAN's + # Note that MIPS may reverse quiet and signaling nans + # so we use the builtin version as a base. + offset = np.uint16(0xff) + nan1_i16 = np.array(np.nan, dtype=np.float16).view(np.uint16) + nan2_i16 = nan1_i16 ^ offset # nan payload on MIPS is all ones. + nan1_f16 = nan1_i16.view(np.float16) + nan2_f16 = nan2_i16.view(np.float16) + assert_array_max_ulp(nan1_f16, nan2_f16, 0) + + def test_complex128_pass(self): + nulp = 5 + x = np.linspace(-20, 20, 50, dtype=np.float64) + x = 10**x + x = np.r_[-x, x] + xi = x + x*1j + + eps = np.finfo(x.dtype).eps + y = x + x*eps*nulp/2. + assert_array_almost_equal_nulp(xi, x + y*1j, nulp) + assert_array_almost_equal_nulp(xi, y + x*1j, nulp) + # The test condition needs to be at least a factor of sqrt(2) smaller + # because the real and imaginary parts both change + y = x + x*eps*nulp/4. + assert_array_almost_equal_nulp(xi, y + y*1j, nulp) + + epsneg = np.finfo(x.dtype).epsneg + y = x - x*epsneg*nulp/2. + assert_array_almost_equal_nulp(xi, x + y*1j, nulp) + assert_array_almost_equal_nulp(xi, y + x*1j, nulp) + y = x - x*epsneg*nulp/4. + assert_array_almost_equal_nulp(xi, y + y*1j, nulp) + + def test_complex128_fail(self): + nulp = 5 + x = np.linspace(-20, 20, 50, dtype=np.float64) + x = 10**x + x = np.r_[-x, x] + xi = x + x*1j + + eps = np.finfo(x.dtype).eps + y = x + x*eps*nulp*2. + assert_raises(AssertionError, assert_array_almost_equal_nulp, + xi, x + y*1j, nulp) + assert_raises(AssertionError, assert_array_almost_equal_nulp, + xi, y + x*1j, nulp) + # The test condition needs to be at least a factor of sqrt(2) smaller + # because the real and imaginary parts both change + y = x + x*eps*nulp + assert_raises(AssertionError, assert_array_almost_equal_nulp, + xi, y + y*1j, nulp) + + epsneg = np.finfo(x.dtype).epsneg + y = x - x*epsneg*nulp*2. + assert_raises(AssertionError, assert_array_almost_equal_nulp, + xi, x + y*1j, nulp) + assert_raises(AssertionError, assert_array_almost_equal_nulp, + xi, y + x*1j, nulp) + y = x - x*epsneg*nulp + assert_raises(AssertionError, assert_array_almost_equal_nulp, + xi, y + y*1j, nulp) + + def test_complex64_pass(self): + nulp = 5 + x = np.linspace(-20, 20, 50, dtype=np.float32) + x = 10**x + x = np.r_[-x, x] + xi = x + x*1j + + eps = np.finfo(x.dtype).eps + y = x + x*eps*nulp/2. + assert_array_almost_equal_nulp(xi, x + y*1j, nulp) + assert_array_almost_equal_nulp(xi, y + x*1j, nulp) + y = x + x*eps*nulp/4. + assert_array_almost_equal_nulp(xi, y + y*1j, nulp) + + epsneg = np.finfo(x.dtype).epsneg + y = x - x*epsneg*nulp/2. + assert_array_almost_equal_nulp(xi, x + y*1j, nulp) + assert_array_almost_equal_nulp(xi, y + x*1j, nulp) + y = x - x*epsneg*nulp/4. + assert_array_almost_equal_nulp(xi, y + y*1j, nulp) + + def test_complex64_fail(self): + nulp = 5 + x = np.linspace(-20, 20, 50, dtype=np.float32) + x = 10**x + x = np.r_[-x, x] + xi = x + x*1j + + eps = np.finfo(x.dtype).eps + y = x + x*eps*nulp*2. + assert_raises(AssertionError, assert_array_almost_equal_nulp, + xi, x + y*1j, nulp) + assert_raises(AssertionError, assert_array_almost_equal_nulp, + xi, y + x*1j, nulp) + y = x + x*eps*nulp + assert_raises(AssertionError, assert_array_almost_equal_nulp, + xi, y + y*1j, nulp) + + epsneg = np.finfo(x.dtype).epsneg + y = x - x*epsneg*nulp*2. + assert_raises(AssertionError, assert_array_almost_equal_nulp, + xi, x + y*1j, nulp) + assert_raises(AssertionError, assert_array_almost_equal_nulp, + xi, y + x*1j, nulp) + y = x - x*epsneg*nulp + assert_raises(AssertionError, assert_array_almost_equal_nulp, + xi, y + y*1j, nulp) + + +class TestULP: + + def test_equal(self): + x = np.random.randn(10) + assert_array_max_ulp(x, x, maxulp=0) + + def test_single(self): + # Generate 1 + small deviation, check that adding eps gives a few UNL + x = np.ones(10).astype(np.float32) + x += 0.01 * np.random.randn(10).astype(np.float32) + eps = np.finfo(np.float32).eps + assert_array_max_ulp(x, x+eps, maxulp=20) + + def test_double(self): + # Generate 1 + small deviation, check that adding eps gives a few UNL + x = np.ones(10).astype(np.float64) + x += 0.01 * np.random.randn(10).astype(np.float64) + eps = np.finfo(np.float64).eps + assert_array_max_ulp(x, x+eps, maxulp=200) + + def test_inf(self): + for dt in [np.float32, np.float64]: + inf = np.array([np.inf]).astype(dt) + big = np.array([np.finfo(dt).max]) + assert_array_max_ulp(inf, big, maxulp=200) + + def test_nan(self): + # Test that nan is 'far' from small, tiny, inf, max and min + for dt in [np.float32, np.float64]: + if dt == np.float32: + maxulp = 1e6 + else: + maxulp = 1e12 + inf = np.array([np.inf]).astype(dt) + nan = np.array([np.nan]).astype(dt) + big = np.array([np.finfo(dt).max]) + tiny = np.array([np.finfo(dt).tiny]) + zero = np.array([np.PZERO]).astype(dt) + nzero = np.array([np.NZERO]).astype(dt) + assert_raises(AssertionError, + lambda: assert_array_max_ulp(nan, inf, + maxulp=maxulp)) + assert_raises(AssertionError, + lambda: assert_array_max_ulp(nan, big, + maxulp=maxulp)) + assert_raises(AssertionError, + lambda: assert_array_max_ulp(nan, tiny, + maxulp=maxulp)) + assert_raises(AssertionError, + lambda: assert_array_max_ulp(nan, zero, + maxulp=maxulp)) + assert_raises(AssertionError, + lambda: assert_array_max_ulp(nan, nzero, + maxulp=maxulp)) + + +class TestStringEqual: + def test_simple(self): + assert_string_equal("hello", "hello") + assert_string_equal("hello\nmultiline", "hello\nmultiline") + + with pytest.raises(AssertionError) as exc_info: + assert_string_equal("foo\nbar", "hello\nbar") + msg = str(exc_info.value) + assert_equal(msg, "Differences in strings:\n- foo\n+ hello") + + assert_raises(AssertionError, + lambda: assert_string_equal("foo", "hello")) + + def test_regex(self): + assert_string_equal("a+*b", "a+*b") + + assert_raises(AssertionError, + lambda: assert_string_equal("aaa", "a+b")) + + +def assert_warn_len_equal(mod, n_in_context): + try: + mod_warns = mod.__warningregistry__ + except AttributeError: + # the lack of a __warningregistry__ + # attribute means that no warning has + # occurred; this can be triggered in + # a parallel test scenario, while in + # a serial test scenario an initial + # warning (and therefore the attribute) + # are always created first + mod_warns = {} + + num_warns = len(mod_warns) + + if 'version' in mod_warns: + # Python 3 adds a 'version' entry to the registry, + # do not count it. + num_warns -= 1 + + assert_equal(num_warns, n_in_context) + + +def test_warn_len_equal_call_scenarios(): + # assert_warn_len_equal is called under + # varying circumstances depending on serial + # vs. parallel test scenarios; this test + # simply aims to probe both code paths and + # check that no assertion is uncaught + + # parallel scenario -- no warning issued yet + class mod: + pass + + mod_inst = mod() + + assert_warn_len_equal(mod=mod_inst, + n_in_context=0) + + # serial test scenario -- the __warningregistry__ + # attribute should be present + class mod: + def __init__(self): + self.__warningregistry__ = {'warning1':1, + 'warning2':2} + + mod_inst = mod() + assert_warn_len_equal(mod=mod_inst, + n_in_context=2) + + +def _get_fresh_mod(): + # Get this module, with warning registry empty + my_mod = sys.modules[__name__] + try: + my_mod.__warningregistry__.clear() + except AttributeError: + # will not have a __warningregistry__ unless warning has been + # raised in the module at some point + pass + return my_mod + + +def test_clear_and_catch_warnings(): + # Initial state of module, no warnings + my_mod = _get_fresh_mod() + assert_equal(getattr(my_mod, '__warningregistry__', {}), {}) + with clear_and_catch_warnings(modules=[my_mod]): + warnings.simplefilter('ignore') + warnings.warn('Some warning') + assert_equal(my_mod.__warningregistry__, {}) + # Without specified modules, don't clear warnings during context. + # catch_warnings doesn't make an entry for 'ignore'. + with clear_and_catch_warnings(): + warnings.simplefilter('ignore') + warnings.warn('Some warning') + assert_warn_len_equal(my_mod, 0) + + # Manually adding two warnings to the registry: + my_mod.__warningregistry__ = {'warning1': 1, + 'warning2': 2} + + # Confirm that specifying module keeps old warning, does not add new + with clear_and_catch_warnings(modules=[my_mod]): + warnings.simplefilter('ignore') + warnings.warn('Another warning') + assert_warn_len_equal(my_mod, 2) + + # Another warning, no module spec it clears up registry + with clear_and_catch_warnings(): + warnings.simplefilter('ignore') + warnings.warn('Another warning') + assert_warn_len_equal(my_mod, 0) + + +def test_suppress_warnings_module(): + # Initial state of module, no warnings + my_mod = _get_fresh_mod() + assert_equal(getattr(my_mod, '__warningregistry__', {}), {}) + + def warn_other_module(): + # Apply along axis is implemented in python; stacklevel=2 means + # we end up inside its module, not ours. + def warn(arr): + warnings.warn("Some warning 2", stacklevel=2) + return arr + np.apply_along_axis(warn, 0, [0]) + + # Test module based warning suppression: + assert_warn_len_equal(my_mod, 0) + with suppress_warnings() as sup: + sup.record(UserWarning) + # suppress warning from other module (may have .pyc ending), + # if apply_along_axis is moved, had to be changed. + sup.filter(module=np.lib.shape_base) + warnings.warn("Some warning") + warn_other_module() + # Check that the suppression did test the file correctly (this module + # got filtered) + assert_equal(len(sup.log), 1) + assert_equal(sup.log[0].message.args[0], "Some warning") + assert_warn_len_equal(my_mod, 0) + sup = suppress_warnings() + # Will have to be changed if apply_along_axis is moved: + sup.filter(module=my_mod) + with sup: + warnings.warn('Some warning') + assert_warn_len_equal(my_mod, 0) + # And test repeat works: + sup.filter(module=my_mod) + with sup: + warnings.warn('Some warning') + assert_warn_len_equal(my_mod, 0) + + # Without specified modules + with suppress_warnings(): + warnings.simplefilter('ignore') + warnings.warn('Some warning') + assert_warn_len_equal(my_mod, 0) + + +def test_suppress_warnings_type(): + # Initial state of module, no warnings + my_mod = _get_fresh_mod() + assert_equal(getattr(my_mod, '__warningregistry__', {}), {}) + + # Test module based warning suppression: + with suppress_warnings() as sup: + sup.filter(UserWarning) + warnings.warn('Some warning') + assert_warn_len_equal(my_mod, 0) + sup = suppress_warnings() + sup.filter(UserWarning) + with sup: + warnings.warn('Some warning') + assert_warn_len_equal(my_mod, 0) + # And test repeat works: + sup.filter(module=my_mod) + with sup: + warnings.warn('Some warning') + assert_warn_len_equal(my_mod, 0) + + # Without specified modules + with suppress_warnings(): + warnings.simplefilter('ignore') + warnings.warn('Some warning') + assert_warn_len_equal(my_mod, 0) + + +def test_suppress_warnings_decorate_no_record(): + sup = suppress_warnings() + sup.filter(UserWarning) + + @sup + def warn(category): + warnings.warn('Some warning', category) + + with warnings.catch_warnings(record=True) as w: + warnings.simplefilter("always") + warn(UserWarning) # should be supppressed + warn(RuntimeWarning) + assert_equal(len(w), 1) + + +def test_suppress_warnings_record(): + sup = suppress_warnings() + log1 = sup.record() + + with sup: + log2 = sup.record(message='Some other warning 2') + sup.filter(message='Some warning') + warnings.warn('Some warning') + warnings.warn('Some other warning') + warnings.warn('Some other warning 2') + + assert_equal(len(sup.log), 2) + assert_equal(len(log1), 1) + assert_equal(len(log2),1) + assert_equal(log2[0].message.args[0], 'Some other warning 2') + + # Do it again, with the same context to see if some warnings survived: + with sup: + log2 = sup.record(message='Some other warning 2') + sup.filter(message='Some warning') + warnings.warn('Some warning') + warnings.warn('Some other warning') + warnings.warn('Some other warning 2') + + assert_equal(len(sup.log), 2) + assert_equal(len(log1), 1) + assert_equal(len(log2), 1) + assert_equal(log2[0].message.args[0], 'Some other warning 2') + + # Test nested: + with suppress_warnings() as sup: + sup.record() + with suppress_warnings() as sup2: + sup2.record(message='Some warning') + warnings.warn('Some warning') + warnings.warn('Some other warning') + assert_equal(len(sup2.log), 1) + assert_equal(len(sup.log), 1) + + +def test_suppress_warnings_forwarding(): + def warn_other_module(): + # Apply along axis is implemented in python; stacklevel=2 means + # we end up inside its module, not ours. + def warn(arr): + warnings.warn("Some warning", stacklevel=2) + return arr + np.apply_along_axis(warn, 0, [0]) + + with suppress_warnings() as sup: + sup.record() + with suppress_warnings("always"): + for i in range(2): + warnings.warn("Some warning") + + assert_equal(len(sup.log), 2) + + with suppress_warnings() as sup: + sup.record() + with suppress_warnings("location"): + for i in range(2): + warnings.warn("Some warning") + warnings.warn("Some warning") + + assert_equal(len(sup.log), 2) + + with suppress_warnings() as sup: + sup.record() + with suppress_warnings("module"): + for i in range(2): + warnings.warn("Some warning") + warnings.warn("Some warning") + warn_other_module() + + assert_equal(len(sup.log), 2) + + with suppress_warnings() as sup: + sup.record() + with suppress_warnings("once"): + for i in range(2): + warnings.warn("Some warning") + warnings.warn("Some other warning") + warn_other_module() + + assert_equal(len(sup.log), 2) + + +def test_tempdir(): + with tempdir() as tdir: + fpath = os.path.join(tdir, 'tmp') + with open(fpath, 'w'): + pass + assert_(not os.path.isdir(tdir)) + + raised = False + try: + with tempdir() as tdir: + raise ValueError() + except ValueError: + raised = True + assert_(raised) + assert_(not os.path.isdir(tdir)) + + +def test_temppath(): + with temppath() as fpath: + with open(fpath, 'w'): + pass + assert_(not os.path.isfile(fpath)) + + raised = False + try: + with temppath() as fpath: + raise ValueError() + except ValueError: + raised = True + assert_(raised) + assert_(not os.path.isfile(fpath)) + + +class my_cacw(clear_and_catch_warnings): + + class_modules = (sys.modules[__name__],) + + +def test_clear_and_catch_warnings_inherit(): + # Test can subclass and add default modules + my_mod = _get_fresh_mod() + with my_cacw(): + warnings.simplefilter('ignore') + warnings.warn('Some warning') + assert_equal(my_mod.__warningregistry__, {}) + + +@pytest.mark.skipif(not HAS_REFCOUNT, reason="Python lacks refcounts") +class TestAssertNoGcCycles: + """ Test assert_no_gc_cycles """ + def test_passes(self): + def no_cycle(): + b = [] + b.append([]) + return b + + with assert_no_gc_cycles(): + no_cycle() + + assert_no_gc_cycles(no_cycle) + + def test_asserts(self): + def make_cycle(): + a = [] + a.append(a) + a.append(a) + return a + + with assert_raises(AssertionError): + with assert_no_gc_cycles(): + make_cycle() + + with assert_raises(AssertionError): + assert_no_gc_cycles(make_cycle) + + @pytest.mark.slow + def test_fails(self): + """ + Test that in cases where the garbage cannot be collected, we raise an + error, instead of hanging forever trying to clear it. + """ + + class ReferenceCycleInDel: + """ + An object that not only contains a reference cycle, but creates new + cycles whenever it's garbage-collected and its __del__ runs + """ + make_cycle = True + + def __init__(self): + self.cycle = self + + def __del__(self): + # break the current cycle so that `self` can be freed + self.cycle = None + + if ReferenceCycleInDel.make_cycle: + # but create a new one so that the garbage collector has more + # work to do. + ReferenceCycleInDel() + + try: + w = weakref.ref(ReferenceCycleInDel()) + try: + with assert_raises(RuntimeError): + # this will be unable to get a baseline empty garbage + assert_no_gc_cycles(lambda: None) + except AssertionError: + # the above test is only necessary if the GC actually tried to free + # our object anyway, which python 2.7 does not. + if w() is not None: + pytest.skip("GC does not call __del__ on cyclic objects") + raise + + finally: + # make sure that we stop creating reference cycles + ReferenceCycleInDel.make_cycle = False