| import functools |
| import numpy |
|
|
| import cupy |
| from cupy._core import _routines_statistics as _statistics |
|
|
|
|
| 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. |
| |
| Args: |
| a (cupy.ndarray): Array to compute the median. |
| axis (int, sequence of int or None): Axis along which the medians are |
| computed. The flattened array is used by default. |
| out (cupy.ndarray): Output array. |
| overwrite_input (bool): 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): If ``True``, the axis is remained as an axis of size |
| one. |
| |
| Returns: |
| cupy.ndarray: The median of ``a``, along the axis if specified. |
| |
| .. seealso:: :func:`numpy.median` |
| |
| """ |
| return _statistics._median(a, axis, out, overwrite_input, keepdims) |
|
|
|
|
| def nanmedian(a, axis=None, out=None, overwrite_input=False, keepdims=False): |
| """Compute the median along the specified axis, while ignoring NaNs. |
| |
| Returns the median of the array elements. |
| |
| Args: |
| a (cupy.ndarray): Array to compute the median. |
| axis (int, sequence of int or None): Axis along which the medians are |
| computed. The flattened array is used by default. |
| out (cupy.ndarray): Output array. |
| overwrite_input (bool): 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): If ``True``, the axis is remained as an axis of size |
| one. |
| |
| Returns: |
| cupy.ndarray: The median of ``a``, along the axis if specified. |
| |
| .. seealso:: :func:`numpy.nanmedian` |
| |
| """ |
| if a.dtype.char in 'efdFD': |
| return _statistics._nanmedian(a, axis, out, overwrite_input, keepdims) |
| else: |
| return median(a, axis=axis, out=out, overwrite_input=overwrite_input, |
| keepdims=keepdims) |
|
|
|
|
| def average(a, axis=None, weights=None, returned=False, *, keepdims=False): |
| """Returns the weighted average along an axis. |
| |
| Args: |
| a (cupy.ndarray): Array to compute average. |
| axis (int): Along which axis to compute average. The flattened array |
| is used by default. |
| weights (cupy.ndarray): Array of weights where each element |
| corresponds to the value in ``a``. If ``None``, all the values |
| in ``a`` have a weight equal to one. |
| returned (bool): If ``True``, a tuple of the average and the sum |
| of weights is returned, otherwise only the average is returned. |
| keepdims (bool): If ``True``, the axis is remained as an axis of size |
| one. |
| |
| Returns: |
| cupy.ndarray or tuple of cupy.ndarray: The average of the input array |
| along the axis and the sum of weights. |
| |
| .. warning:: |
| |
| This function may synchronize the device if ``weight`` is given. |
| |
| .. seealso:: :func:`numpy.average` |
| """ |
| |
| a = cupy.asarray(a) |
|
|
| if weights is None: |
| avg = a.mean(axis=axis, keepdims=keepdims) |
| scl = avg.dtype.type(a.size / avg.size) |
| else: |
| wgt = cupy.asarray(weights) |
|
|
| if issubclass(a.dtype.type, (numpy.integer, numpy.bool_)): |
| result_dtype = functools.reduce(numpy.promote_types, |
| (a.dtype, wgt.dtype, 'f8')) |
| else: |
| result_dtype = numpy.promote_types(a.dtype, wgt.dtype) |
|
|
| |
| 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.') |
|
|
| |
| wgt = cupy.broadcast_to(wgt, (a.ndim - 1) * (1,) + wgt.shape) |
| wgt = wgt.swapaxes(-1, axis) |
|
|
| scl = wgt.sum(axis=axis, dtype=result_dtype, keepdims=keepdims) |
| if cupy.any(scl == 0.0): |
| raise ZeroDivisionError( |
| 'Weights sum to zero, can\'t be normalized') |
|
|
| avg = cupy.multiply(a, wgt, dtype=result_dtype).sum( |
| axis, keepdims=keepdims) / scl |
|
|
| if returned: |
| if scl.shape != avg.shape: |
| scl = cupy.broadcast_to(cupy.array(scl), avg.shape).copy() |
| return avg, scl |
| else: |
| return avg |
|
|
|
|
| def mean(a, axis=None, dtype=None, out=None, keepdims=False): |
| """Returns the arithmetic mean along an axis. |
| |
| Args: |
| a (cupy.ndarray): Array to compute mean. |
| axis (int, sequence of int or None): Along which axis to compute mean. |
| The flattened array is used by default. |
| dtype: Data type specifier. |
| out (cupy.ndarray): Output array. |
| keepdims (bool): If ``True``, the axis is remained as an axis of |
| size one. |
| |
| Returns: |
| cupy.ndarray: The mean of the input array along the axis. |
| |
| .. seealso:: :func:`numpy.mean` |
| |
| """ |
| |
| return a.mean(axis=axis, dtype=dtype, out=out, keepdims=keepdims) |
|
|
|
|
| def var(a, axis=None, dtype=None, out=None, ddof=0, keepdims=False): |
| """Returns the variance along an axis. |
| |
| Args: |
| a (cupy.ndarray): Array to compute variance. |
| axis (int): Along which axis to compute variance. The flattened array |
| is used by default. |
| dtype: Data type specifier. |
| out (cupy.ndarray): Output array. |
| keepdims (bool): If ``True``, the axis is remained as an axis of |
| size one. |
| |
| Returns: |
| cupy.ndarray: The variance of the input array along the axis. |
| |
| .. seealso:: :func:`numpy.var` |
| |
| """ |
| |
| return a.var(axis=axis, dtype=dtype, out=out, ddof=ddof, |
| keepdims=keepdims) |
|
|
|
|
| def std(a, axis=None, dtype=None, out=None, ddof=0, keepdims=False): |
| """Returns the standard deviation along an axis. |
| |
| Args: |
| a (cupy.ndarray): Array to compute standard deviation. |
| axis (int): Along which axis to compute standard deviation. The |
| flattened array is used by default. |
| dtype: Data type specifier. |
| out (cupy.ndarray): Output array. |
| keepdims (bool): If ``True``, the axis is remained as an axis of |
| size one. |
| |
| Returns: |
| cupy.ndarray: The standard deviation of the input array along the axis. |
| |
| .. seealso:: :func:`numpy.std` |
| |
| """ |
| |
| return a.std(axis=axis, dtype=dtype, out=out, ddof=ddof, |
| keepdims=keepdims) |
|
|
|
|
| def nanmean(a, axis=None, dtype=None, out=None, keepdims=False): |
| """Returns the arithmetic mean along an axis ignoring NaN values. |
| |
| Args: |
| a (cupy.ndarray): Array to compute mean. |
| axis (int, sequence of int or None): Along which axis to compute mean. |
| The flattened array is used by default. |
| dtype: Data type specifier. |
| out (cupy.ndarray): Output array. |
| keepdims (bool): If ``True``, the axis is remained as an axis of |
| size one. |
| |
| Returns: |
| cupy.ndarray: The mean of the input array along the axis ignoring NaNs. |
| |
| .. seealso:: :func:`numpy.nanmean` |
| |
| """ |
| if a.dtype.kind in 'biu': |
| return a.mean(axis=axis, dtype=dtype, out=out, keepdims=keepdims) |
|
|
| |
| return _statistics._nanmean( |
| a, axis=axis, dtype=dtype, out=out, keepdims=keepdims) |
|
|
|
|
| def nanvar(a, axis=None, dtype=None, out=None, ddof=0, keepdims=False): |
| """Returns the variance along an axis ignoring NaN values. |
| |
| Args: |
| a (cupy.ndarray): Array to compute variance. |
| axis (int): Along which axis to compute variance. The flattened array |
| is used by default. |
| dtype: Data type specifier. |
| out (cupy.ndarray): Output array. |
| keepdims (bool): If ``True``, the axis is remained as an axis of |
| size one. |
| |
| Returns: |
| cupy.ndarray: The variance of the input array along the axis. |
| |
| .. seealso:: :func:`numpy.nanvar` |
| |
| """ |
| if a.dtype.kind in 'biu': |
| return a.var(axis=axis, dtype=dtype, out=out, ddof=ddof, |
| keepdims=keepdims) |
|
|
| |
| return _statistics._nanvar( |
| a, axis=axis, dtype=dtype, out=out, ddof=ddof, keepdims=keepdims) |
|
|
|
|
| def nanstd(a, axis=None, dtype=None, out=None, ddof=0, keepdims=False): |
| """Returns the standard deviation along an axis ignoring NaN values. |
| |
| Args: |
| a (cupy.ndarray): Array to compute standard deviation. |
| axis (int): Along which axis to compute standard deviation. The |
| flattened array is used by default. |
| dtype: Data type specifier. |
| out (cupy.ndarray): Output array. |
| keepdims (bool): If ``True``, the axis is remained as an axis of |
| size one. |
| |
| Returns: |
| cupy.ndarray: The standard deviation of the input array along the axis. |
| |
| .. seealso:: :func:`numpy.nanstd` |
| |
| """ |
| if a.dtype.kind in 'biu': |
| return a.std(axis=axis, dtype=dtype, out=out, ddof=ddof, |
| keepdims=keepdims) |
|
|
| |
| return _statistics._nanstd( |
| a, axis=axis, dtype=dtype, out=out, ddof=ddof, keepdims=keepdims) |
|
|