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 llava_next/lib/python3.10/site-packages/torch/bin/nvfuser_tests filter=lfs diff=lfs merge=lfs -text
+llava_next/lib/libcrypto.a filter=lfs diff=lfs merge=lfs -text

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parrot/lib/python3.10/site-packages/torch/_custom_ops.py

@@ -0,0 +1,323 @@
+# mypy: allow-untyped-defs
+import inspect
+
+from torch._custom_op.impl import (
+    _custom_op_with_schema,
+    _find_custom_op,
+    infer_schema,
+    parse_qualname,
+    validate_namespace,
+)
+from torch.library import get_ctx
+
+__all__ = [
+    "custom_op",
+    "impl",
+    "impl_abstract",
+    "get_ctx",
+    "impl_save_for_backward",
+    "impl_backward",
+]
+
+
+def custom_op(qualname, func_or_schema=None):
+    r"""Register a new custom operator
+
+    In PyTorch, defining an op (short for "operator") is a two step-process:
+    - we need to define the op (by providing an operator name and schema)
+    - we need to implement behavior for how the operator interacts with
+      various PyTorch subsystems, like CPU/CUDA Tensors, Autograd, etc.
+
+    This entrypoint defines the custom operator (the first step)
+    you must then perform the second step by calling various
+    ``impl_*`` APIs.
+
+    This API may be used as a decorator (see examples).
+
+    For a detailed guide on custom ops, please see
+    https://docs.google.com/document/d/1aGWtgxV3HppuxQAdddyPrs74_aEntpkYt9MalnCKnhk
+
+    Arguments:
+        qualname (str): Should be a string that looks like
+            "namespace::operator_name". Operators in PyTorch need a namespace to
+            avoid name collisions; a given operator may only be created once.
+            If you are writing a Python library, we recommend the namespace to
+            be the name of your top-level module.
+        func_or_schema (Union[Callable, str]): Each PyTorch operator needs a
+            schema that tells PyTorch the types of the inputs/outputs.
+            If this is a Callable, we will automatically infer the schema from
+            the type annotations on the function (see examples). Otherwise,
+            if you don't want to use type annotations, you may provide us the
+            schema string.
+
+    Example::
+        >>> # xdoctest: +REQUIRES(env:TORCH_DOCTEST_CUDA)
+        >>> import torch
+        >>> import numpy as np
+        >>> from torch import Tensor
+        >>>
+        >>> # Step 1: define the custom op.
+        >>> # We need to provide the API a "prototype function"
+        >>> # (a function that returns NotImplementedError), from which
+        >>> # we will infer the types of the inputs and outputs.
+        >>> @torch._custom_ops.custom_op("mylibrary::numpy_sin")
+        >>> def numpy_sin(x: Tensor) -> Tensor:
+        >>>     raise NotImplementedError
+        >>>
+        >>> # The custom op is now accessible via the torch.ops module:
+        >>> torch.ops.mylibrary.numpy_sin
+        >>>
+        >>> # Step 2: Register an implementation for various PyTorch subsystems
+        >>>
+        >>> # Register an implementation for CPU tensors
+        >>> @torch._custom_ops.impl("mylibrary::numpy_sin", device_types="cpu")
+        >>> def numpy_sin_impl_cpu(x):
+        >>>     return torch.from_numpy(np.sin(x.numpy()))
+        >>>
+        >>> # Register an implementation for CUDA tensors
+        >>> @torch._custom_ops.impl("mylibrary::numpy_sin", device_types="cuda")
+        >>> def numpy_sin_impl_cuda(x):
+        >>>     return torch.from_numpy(np.sin(x.cpu().numpy())).to(x.device)
+        >>>
+        >>> x = torch.randn(3)
+        >>> torch.ops.mylibrary.numpy_sin(x)  # calls numpy_sin_impl_cpu
+        >>>
+        >>> x_cuda = x.cuda()
+        >>> torch.ops.mylibrary.numpy_sin(x)  # calls numpy_sin_impl_cuda
+
+    """
+    ns, name = parse_qualname(qualname)
+    validate_namespace(ns)
+
+    def inner(func):
+        if not inspect.isfunction(func):
+            raise ValueError(
+                f"custom_op(...)(func): Expected `func` to be a Python "
+                f"function, got: {type(func)}"
+            )
+
+        if func.__name__ != name:
+            raise ValueError(
+                f"custom_op(qualname='{qualname}', ...)(func): expected `func` "
+                f"to have name '{name}' but got '{func.__name__}'. "
+                f"Please either change the name of `func` or the qualname that "
+                f"is passed to `custom_op`"
+            )
+
+        schema = infer_schema(func)
+        _custom_op_with_schema(qualname, schema)
+        return func
+
+    if func_or_schema is None:
+        return inner
+    if isinstance(func_or_schema, str):
+        _custom_op_with_schema(qualname, func_or_schema)
+    else:
+        return inner(func_or_schema)
+
+
+def impl(qualname, *, device_types=("cpu", "cuda"), func=None):
+    r"""Register an implementation for a device type for this custom op.
+
+    If the op is passed multiple Tensor inputs with different device
+    types, it will dispatch to the registered implementation for the highest
+    priority device type among those present.
+    The supported device types, in order of priority, are {'cuda', 'cpu'}.
+
+    This API may be used as a decorator (see examples).
+
+    For a detailed guide on custom ops, please see
+    https://docs.google.com/document/d/1aGWtgxV3HppuxQAdddyPrs74_aEntpkYt9MalnCKnhk
+
+    Arguments:
+        device_types (str or Iterable[str]): the device type(s) to register the function for.
+
+    Example::
+        >>> # xdoctest: +REQUIRES(env:TORCH_DOCTEST_CUDA)
+        >>> import torch
+        >>> import numpy as np
+        >>> from torch import Tensor
+        >>>
+        >>> # Step 1: define the custom op.
+        >>> # We need to provide the API a "prototype function"
+        >>> # (a function that returns NotImplementedError), from which
+        >>> # we will infer the types of the inputs and outputs.
+        >>> @torch._custom_ops.custom_op("mylibrary::numpy_cos")
+        >>> def numpy_cos(x: Tensor) -> Tensor:
+        >>>     raise NotImplementedError
+        >>>
+        >>> # The custom op is now accessible via the torch.ops module:
+        >>> torch.ops.mylibrary.numpy_cos
+        >>>
+        >>> # Step 2: Register an implementation for various PyTorch subsystems
+        >>>
+        >>> # Register an implementation for CPU tensors
+        >>> @torch._custom_ops.impl("mylibrary::numpy_cos", device_types="cpu")
+        >>> def numpy_cos_impl_cpu(x):
+        >>>     return torch.from_numpy(np.cos(x.numpy()))
+        >>>
+        >>> # Register an implementation for CUDA tensors
+        >>> @torch._custom_ops.impl("mylibrary::numpy_cos", device_types="cuda")
+        >>> def numpy_cos_impl_cuda(x):
+        >>>     return torch.from_numpy(np.cos(x.cpu().numpy())).to(x.device)
+        >>>
+        >>> x = torch.randn(3)
+        >>> torch.ops.mylibrary.numpy_cos(x)  # calls numpy_cos_impl_cpu
+        >>>
+        >>> x_cuda = x.cuda()
+        >>> torch.ops.mylibrary.numpy_cos(x)  # calls numpy_cos_impl_cuda
+
+    """
+
+    def inner(func):
+        custom_op = _find_custom_op(qualname, also_check_torch_library=True)
+        custom_op.impl(device_types, _stacklevel=3)(func)
+        return func
+
+    if func is None:
+        return inner
+    return inner(func)
+
+
+def impl_abstract(qualname, *, func=None):
+    r"""Register an abstract implementation for this operator.
+
+    An "abstract implementation" specifies the behavior of this operator on
+    Tensors that carry no data. Given some input Tensors with certain properties
+    (sizes/strides/storage_offset/device), it specifies what the properties of
+    the output Tensors are.
+
+    The abstract implementation has the same signature as the operator.
+    It is run for both FakeTensors and meta tensors. To write an abstract
+    implementation, assume that all Tensor inputs to the operator are
+    regular CPU/CUDA/Meta tensors, but they do not have storage, and
+    you are trying to return regular CPU/CUDA/Meta tensor(s) as output.
+    The abstract implementation must consist of only PyTorch operations
+    (and may not directly access the storage or data of any input or
+    intermediate Tensors).
+
+    This API may be used as a decorator (see examples).
+
+    For a detailed guide on custom ops, please see
+    https://docs.google.com/document/d/1aGWtgxV3HppuxQAdddyPrs74_aEntpkYt9MalnCKnhk
+
+    Examples::
+        >>> import numpy as np
+        >>> from torch import Tensor
+        >>>
+        >>> # Example 1: an operator without data-dependent output shape
+        >>> @torch._custom_ops.custom_op("mylibrary::custom_linear")
+        >>> def custom_linear(x: Tensor, weight: Tensor, bias: Tensor) -> Tensor:
+        >>>     raise NotImplementedError
+        >>>
+        >>> @torch._custom_ops.impl_abstract("mylibrary::custom_linear")
+        >>> def custom_linear_abstract(x, weight):
+        >>>     assert x.dim() == 2
+        >>>     assert weight.dim() == 2
+        >>>     assert bias.dim() == 1
+        >>>     assert x.shape[1] == weight.shape[1]
+        >>>     assert weight.shape[0] == bias.shape[0]
+        >>>     assert x.device == weight.device
+        >>>
+        >>>     return (x @ weight.t()) + bias
+        >>>
+        >>> # Example 2: an operator with data-dependent output shape
+        >>> @torch._custom_ops.custom_op('mylibrary::custom_nonzero')
+        >>> def custom_nonzero(x: Tensor) -> Tensor:
+        >>>     ...
+        >>>
+        >>> @torch._custom_ops.impl_abstract("mylibrary::custom_nonzero")
+        >>> def custom_nonzero_abstract(x):
+        >>>     # Number of nonzero-elements is data-dependent.
+        >>>     # Since we cannot peek at the data in an abstract impl,
+        >>>     # we use the ctx object to construct a new symint that
+        >>>     # represents the data-dependent size.
+        >>>     ctx = torch._custom_ops.get_ctx()
+        >>>     nnz = ctx.create_unbacked_symint()
+        >>>     shape = [x.dim(), nnz]
+        >>>     result = x.new_empty(shape, dtype=torch.long)
+        >>>     return result
+        >>>
+        >>> @torch._custom_ops.impl("mylibrary::custom_nonzero")
+        >>> def custom_nonzero_impl(x):
+        >>>     x_np = to_numpy(x)
+        >>>     res = np.stack(np.nonzero(x_np), axis=1)
+        >>>     # unbacked symbolic ints in PyTorch must be >= 2, so we
+        >>>     # constrain the range to at least 2
+        >>>     if res.shape[0] <= 1:
+        >>>         raise RuntimeError("not supported")
+        >>>     return torch.tensor(res, device=x.device)
+
+    """
+    import torch.library
+
+    return torch.library.register_fake(qualname, func, _stacklevel=2)
+
+
+def impl_save_for_backward(qualname, *, func=None):
+    r"""Register a function that tells us what to save for backward.
+
+    Please see :func:`impl_backward` for more details.
+    """
+
+    def inner(func):
+        custom_op = _find_custom_op(qualname, also_check_torch_library=True)
+        custom_op.impl_save_for_backward(_stacklevel=3)(func)
+        return func
+
+    if func is None:
+        return inner
+    return inner(func)
+
+
+def impl_backward(qualname, output_differentiability=None, *, func=None):
+    r"""Registers a backward formula for an operator.
+
+    In order for an operator to work with autograd, you need to register
+    a backward formula. There are two pieces to this:
+    1. You must give us a function to specify what to save for backward.
+       Call this the "save for backward" function.
+    2. You must give us a function that computes gradients. Call this the
+       "backward" function.
+
+    Use `impl_save_for_backward` to define a "save for backward" function
+    that specifies what gets saved for backward. The function should accept
+    two arguments ``(inputs, output)`` and return the quantities to be saved
+    for backward.
+
+    During runtime, when you call the operator in a forwards pass, PyTorch
+    will invoke the "save for backward" function with the inputs and output
+    of the operator.
+
+    Use `impl_backward` to define the "backward" function. The backward
+    function must accept ``(ctx, saved, *grads)``:
+    - ``ctx`` is a context object where we may provide information
+    - ``saved`` is exactly what gets returned from the "save for backward"
+      function
+    - ``grads`` is one or more gradients. The number of gradients matches
+      the number of outputs of the operator.
+
+    The backward function must return a dict that maps the name of
+    an input to the operator to its corresponding gradient. All inputs that
+    were declared to be Tensors in the operator definition must be accounted
+    for in the dict. The gradient may be a Tensor or None.
+
+    For a detailed guide on custom ops, please see
+    https://docs.google.com/document/d/1aGWtgxV3HppuxQAdddyPrs74_aEntpkYt9MalnCKnhk
+
+    """
+
+    def inner(func):
+        custom_op = _find_custom_op(qualname, also_check_torch_library=True)
+        custom_op.impl_backward(output_differentiability, _stacklevel=3)(func)
+        return func
+
+    if func is None:
+        return inner
+    return inner(func)
+
+
+def _destroy(qualname):
+    """De-registers a custom op. For testing purposes only"""
+    custom_op = _find_custom_op(qualname)
+    custom_op._destroy()

parrot/lib/python3.10/site-packages/torch/_refs/_conversions.py

@@ -0,0 +1,119 @@
+# mypy: allow-untyped-defs
+import torch
+import torch._prims_common as utils
+
+# Utilities should come BEFORE this import
+from torch._decomp import register_decomposition
+
+from torch._prims_common import TensorLikeType
+from torch._prims_common.wrappers import out_wrapper
+from torch._refs import _broadcast_shapes
+
+# Data conversion references.
+#
+# Note: this module breaks the usual _refs to torch naming scheme where
+# _refs.foo.bar is a ref for torch.foo.bar.  The following definitions are not
+# part of _refs/__init__.py to avoid name clashes with Python builtin types
+# (like int).
+
+__all__ = [
+    # dtypes
+    "bfloat16",
+    "bool",
+    "byte",
+    "cdouble",
+    "cfloat",
+    "chalf",
+    "char",
+    "double",
+    "float",
+    "half",
+    "int",
+    "long",
+    "short",
+    # misc
+    "complex",
+    "polar",
+]
+
+
+def _make_conversion_method(name: str, dtype: torch.dtype):
+    def fn(
+        self: TensorLikeType, memory_format: torch.memory_format = torch.preserve_format
+    ) -> TensorLikeType:
+        return self.to(dtype, memory_format=memory_format)  # type: ignore[call-overload]
+
+    fn.__name__ = name
+    return fn
+
+
+bfloat16 = _make_conversion_method("bfloat16", torch.bfloat16)
+
+bool = _make_conversion_method("bool", torch.bool)
+
+byte = _make_conversion_method("byte", torch.uint8)
+
+cdouble = _make_conversion_method("cdouble", torch.cdouble)
+
+cfloat = _make_conversion_method("cfloat", torch.cfloat)
+
+chalf = _make_conversion_method("chalf", torch.complex32)
+
+char = _make_conversion_method("char", torch.int8)
+
+double = _make_conversion_method("double", torch.double)
+
+float = _make_conversion_method("float", torch.float)
+
+half = _make_conversion_method("half", torch.half)
+
+int = _make_conversion_method("int", torch.int)
+
+long = _make_conversion_method("long", torch.long)
+
+short = _make_conversion_method("short", torch.short)
+
+
+@register_decomposition(torch._ops.ops.aten.complex)
+# Note: complex has type promotion tests disabled due to different semantics.
+# exact_dtype is for compat with complex_check_dtype from core.
+@out_wrapper(exact_dtype=True)
+def complex(real: TensorLikeType, imag: TensorLikeType) -> TensorLikeType:
+    allowed_dtypes = (torch.float32, torch.float64, torch.float16)
+    torch._check(
+        real.dtype in allowed_dtypes and imag.dtype in allowed_dtypes,
+        lambda: (
+            f"Expected both inputs to be Half, Float or Double tensors but got "
+            f"{real.dtype} and {imag.dtype}"
+        ),
+    )
+    torch._check(
+        real.dtype == imag.dtype,
+        lambda: (
+            f"Expected object of scalar type {real.dtype} but got "
+            f"scalar type {imag.dtype} for second argument"
+        ),
+    )
+    result_dtype = utils.corresponding_complex_dtype(real.dtype)  # type: ignore[arg-type]
+    common_shape = _broadcast_shapes(real.shape, imag.shape)
+    result = real.new_empty(
+        common_shape,
+        dtype=result_dtype,
+        layout=real.layout,
+        device=real.device,
+        # pin_memory=real.is_pinned(),  # NYI
+    )
+    result.real = real
+    result.imag = imag
+    return result
+
+
+@register_decomposition(torch._ops.ops.aten.polar)
+# Note: polar has type promotion tests disabled due to different semantics.
+# exact_dtype is for compat with complex_check_dtype from core.
+@out_wrapper(exact_dtype=True)
+def polar(abs: TensorLikeType, angle: TensorLikeType) -> TensorLikeType:
+    result = torch.complex(abs, angle)
+    result.real = abs * torch.cos(angle)
+    result.imag = abs * torch.sin(angle)
+    return result

parrot/lib/python3.10/site-packages/torch/_refs/linalg/__init__.py

@@ -0,0 +1,313 @@
+# mypy: allow-untyped-defs
+from functools import partial
+
+from typing import List, Optional, Tuple, Union
+
+import torch
+
+import torch._prims as prims
+
+import torch._prims_common as utils
+import torch._refs as refs
+import torch._refs.linalg as linalg
+from torch import Tensor
+from torch._prims_common import (
+    check_fp_or_complex,
+    check_is_matrix,
+    Dim,
+    DimsType,
+    ELEMENTWISE_TYPE_PROMOTION_KIND,
+    IntLike,
+    NumberType,
+    TensorLikeType,
+)
+from torch._prims_common.wrappers import (
+    _maybe_convert_to_dtype,
+    elementwise_type_promotion_wrapper,
+    out_wrapper,
+)
+
+
+__all__ = [
+    "diagonal",
+    "matrix_norm",
+    "norm",
+    "svd",
+    "svdvals",
+    "vector_norm",
+    "vecdot",
+    "cross",
+]
+
+
+def _check_norm_dtype(dtype: Optional[torch.dtype], x_dtype: torch.dtype, fn_name: str):
+    """
+    Checks related to the dtype kwarg in `linalg.*norm` functions
+    """
+    if dtype is not None:
+        torch._check(
+            utils.is_float_dtype(dtype) or utils.is_complex_dtype(dtype),
+            lambda: f"{fn_name}: dtype should be floating point or complex. Got {dtype}",
+        )
+        torch._check(
+            utils.is_complex_dtype(dtype) == utils.is_complex_dtype(x_dtype),
+            lambda: "{fn_name}: dtype should be {d} for {d} inputs. Got {dtype}".format(
+                fn_name=fn_name,
+                d="complex" if utils.is_complex_dtype(x_dtype) else "real",
+                dtype=dtype,
+            ),
+        )
+        torch._check(
+            utils.get_higher_dtype(dtype, x_dtype) == dtype,
+            lambda: f"{fn_name}: the dtype of the input ({x_dtype}) should be convertible "
+            "without narrowing to the specified dtype ({dtype})",
+        )
+
+
+import operator
+
+# Utilities should come BEFORE this import
+from torch._decomp import register_decomposition
+from torch._decomp.decompositions import pw_cast_for_opmath
+
+
+@register_decomposition(torch._ops.ops.aten.linalg_cross)
+@out_wrapper()
+@pw_cast_for_opmath
+def cross(a: Tensor, b: Tensor, dim: int = -1):
+    torch._check(
+        a.ndim == b.ndim,
+        lambda: "linalg.cross: inputs must have the same number of dimensions.",
+    )
+    torch._check(
+        a.size(dim) == 3 and b.size(dim) == 3,
+        lambda: f"linalg.cross: inputs dim {dim} must have length 3, got {a.size(dim)} and {b.size(dim)}",
+    )
+    a, b = torch.broadcast_tensors(a, b)
+    dim = utils.canonicalize_dim(a.ndim, dim)
+    idx = torch.arange(3, device=a.device)
+    return a.index_select(dim, (idx + 1) % 3) * b.index_select(
+        dim, (idx + 2) % 3
+    ) - a.index_select(dim, (idx + 2) % 3) * b.index_select(dim, (idx + 1) % 3)
+
+
+def diagonal(
+    input: TensorLikeType,
+    *,
+    offset: int = 0,
+    dim1: int = -2,
+    dim2: int = -1,
+) -> TensorLikeType:
+    return torch.diagonal(input, offset=offset, dim1=dim1, dim2=dim2)
+
+
+@register_decomposition(torch._ops.ops.aten.linalg_vector_norm)
+@out_wrapper(exact_dtype=True)
+def vector_norm(
+    x: TensorLikeType,
+    ord: Union[float, int] = 2,
+    dim: Optional[DimsType] = None,
+    keepdim: bool = False,
+    *,
+    dtype: Optional[torch.dtype] = None,
+) -> Tensor:
+    from torch.fx.experimental.symbolic_shapes import guard_size_oblivious
+
+    # Checks
+    check_fp_or_complex(x.dtype, "linalg.vector_norm")
+
+    if isinstance(dim, Dim):
+        dim = [dim]  # type: ignore[assignment]
+
+    if guard_size_oblivious(x.numel() == 0) and (ord < 0.0 or ord == float("inf")):
+        torch._check(
+            dim is not None and len(dim) != 0,
+            lambda: f"linalg.vector_norm cannot compute the {ord} norm on an empty tensor "
+            "because the operation does not have an identity",
+        )
+        shape = x.shape
+        assert dim is not None  # mypy does not seem to be able to see through check?
+        for d in dim:
+            torch._check(
+                shape[d] != 0,
+                lambda: f"linalg.vector_norm cannot compute the {ord} norm on the "
+                f"dimension {d} because this dimension is empty and the "
+                "operation does not have an identity",
+            )
+    _check_norm_dtype(dtype, x.dtype, "linalg.vector_norm")
+
+    computation_dtype, result_dtype = utils.reduction_dtypes(
+        x, utils.REDUCTION_OUTPUT_TYPE_KIND.COMPLEX_TO_FLOAT, dtype
+    )
+
+    to_result_dtype = partial(_maybe_convert_to_dtype, dtype=result_dtype)
+
+    # Implementation
+    if ord == 0.0:
+        return torch.sum(torch.ne(x, 0.0), dim=dim, keepdim=keepdim, dtype=result_dtype)
+    elif ord == float("inf"):
+        return to_result_dtype(torch.amax(torch.abs(x), dim=dim, keepdim=keepdim))  # type: ignore[return-value,arg-type]
+    elif ord == float("-inf"):
+        return to_result_dtype(torch.amin(torch.abs(x), dim=dim, keepdim=keepdim))  # type: ignore[return-value,arg-type]
+    else:
+        # From here on the computation dtype is important as the reduction is non-trivial
+        x = _maybe_convert_to_dtype(x, computation_dtype)  # type: ignore[assignment]
+        reduce_sum = partial(torch.sum, dim=dim, keepdim=keepdim)
+
+        is_ord_even = ord % 2 == 0 if isinstance(ord, IntLike) else ord % 2.0 == 0.0
+        if not (is_ord_even and utils.is_float_dtype(x.dtype)):
+            x = torch.abs(x)
+        return to_result_dtype(torch.pow(reduce_sum(torch.pow(x, ord)), 1.0 / ord))  # type: ignore[return-value]
+
+
+def _backshift_permutation(dim0, dim1, ndim):
+    # Auxiliary function for matrix_norm
+    # Computes the permutation that moves the two given dimensions to the back
+    ret = [i for i in range(ndim) if i != dim0 and i != dim1]
+    ret.extend((dim0, dim1))
+    return ret
+
+
+def _inverse_permutation(perm):
+    # Given a permutation, returns its inverse. It's equivalent to argsort on an array
+    return [i for i, j in sorted(enumerate(perm), key=operator.itemgetter(1))]
+
+
+# CompositeImplicitAutograd
+@out_wrapper(exact_dtype=True)
+def matrix_norm(
+    A: TensorLikeType,
+    ord: Union[float, str] = "fro",
+    dim: DimsType = (-2, -1),
+    keepdim: bool = False,
+    *,
+    dtype: Optional[torch.dtype] = None,
+) -> TensorLikeType:
+    # shape
+    check_is_matrix(A, "linalg.matrix_norm")
+    # dim
+    dim = utils.canonicalize_dims(A.ndim, dim)
+    if isinstance(dim, Dim):
+        dim = (dim,)  # type: ignore[assignment]
+    torch._check(
+        len(dim) == 2, lambda: "linalg.matrix_norm: dim must be a 2-tuple. Got {dim}"
+    )
+    torch._check(
+        dim[0] != dim[1],
+        lambda: "linalg.matrix_norm: dims must be different. Got ({dim[0]}, {dim[1]})",
+    )
+    # dtype arg
+    _check_norm_dtype(dtype, A.dtype, "linalg.matrix_norm")
+
+    if isinstance(ord, str):
+        # ord
+        torch._check(
+            ord in ("fro", "nuc"),
+            lambda: "linalg.matrix_norm: Order {ord} not supported.",
+        )
+        # dtype
+        check_fp_or_complex(
+            A.dtype, "linalg.matrix_norm", allow_low_precision_dtypes=ord != "nuc"
+        )
+
+        if ord == "fro":
+            return vector_norm(A, 2, dim, keepdim, dtype=dtype)
+        else:  # ord == "nuc"
+            if dtype is not None:
+                A = _maybe_convert_to_dtype(A, dtype)  # type: ignore[assignment]
+            perm = _backshift_permutation(dim[0], dim[1], A.ndim)
+            result = torch.sum(svdvals(prims.transpose(A, perm)), -1, keepdim)
+            if keepdim:
+                inv_perm = _inverse_permutation(perm)
+                result = prims.transpose(torch.unsqueeze(result, -1), inv_perm)
+            return result
+    else:
+        # ord
+        abs_ord = abs(ord)
+        torch._check(
+            abs_ord in (2, 1, float("inf")),
+            lambda: "linalg.matrix_norm: Order {ord} not supported.",
+        )
+        # dtype
+        check_fp_or_complex(
+            A.dtype, "linalg.matrix_norm", allow_low_precision_dtypes=ord != 2
+        )
+
+        max_min = partial(torch.amax if ord > 0.0 else torch.amin, keepdim=keepdim)
+
+        if abs_ord == 2.0:
+            if dtype is not None:
+                A = _maybe_convert_to_dtype(A, dtype)  # type: ignore[assignment]
+            perm = _backshift_permutation(dim[0], dim[1], A.ndim)
+            result = max_min(svdvals(prims.transpose(A, perm)), dim=-1)
+            if keepdim:
+                inv_perm = _inverse_permutation(perm)
+                result = prims.transpose(torch.unsqueeze(result, -1), inv_perm)
+            return result
+        else:  # 1, -1, inf, -inf
+            dim0, dim1 = dim
+            if abs_ord == float("inf"):
+                dim0, dim1 = dim1, dim0
+            if not keepdim and (dim0 < dim1):
+                dim1 -= 1
+            return max_min(
+                vector_norm(A, 1.0, dim=dim0, keepdim=keepdim, dtype=dtype), dim1
+            )
+
+
+# CompositeImplicitAutograd
+@out_wrapper(exact_dtype=True)
+def norm(
+    A: TensorLikeType,
+    ord: Optional[Union[float, str]] = None,
+    dim: Optional[DimsType] = None,
+    keepdim: bool = False,
+    *,
+    dtype: Optional[torch.dtype] = None,
+) -> TensorLikeType:
+    if dim is not None:
+        if isinstance(dim, Dim):
+            dim = (dim,)  # type: ignore[assignment]
+        torch._check(
+            len(dim) in (1, 2),
+            lambda: "linalg.norm: If dim is specified, it must be of length 1 or 2. Got {dim}",
+        )
+    elif ord is not None:
+        torch._check(
+            A.ndim in (1, 2),
+            lambda: "linalg.norm: If dim is not specified but ord is, the input must be 1D or 2D. Got {A.ndim}D",
+        )
+
+    if ord is not None and (
+        (dim is not None and len(dim) == 2) or (dim is None and A.ndim == 2)
+    ):
+        if dim is None:
+            dim = (0, 1)
+        return matrix_norm(A, ord, dim, keepdim, dtype=dtype)
+    else:
+        if ord is None:
+            ord = 2.0
+        return vector_norm(A, ord, dim, keepdim, dtype=dtype)
+
+
+# CompositeImplicitAutograd
+@out_wrapper("U", "S", "Vh", exact_dtype=True)
+def svd(A: TensorLikeType, full_matrices: bool = True) -> Tuple[Tensor, Tensor, Tensor]:
+    return prims.svd(A, full_matrices=full_matrices)
+
+
+# CompositeImplicitAutograd
+@out_wrapper(exact_dtype=True)
+def svdvals(A: TensorLikeType) -> Tensor:
+    return svd(A, full_matrices=False)[1]
+
+
+# CompositeImplicitAutograd
+@out_wrapper()
+@elementwise_type_promotion_wrapper(
+    type_promoting_args=("x", "y"),
+    type_promotion_kind=ELEMENTWISE_TYPE_PROMOTION_KIND.DEFAULT,
+)
+def vecdot(x: Tensor, y: Tensor, dim: int = -1) -> Tensor:
+    check_fp_or_complex(x.dtype, "linalg.vecdot")
+    return (x.conj() * y).sum(dim=dim)

parrot/lib/python3.10/site-packages/torch/_refs/nn/__init__.py

@@ -0,0 +1,3 @@
+from typing import List
+
+__all__: List[str] = []

parrot/lib/python3.10/site-packages/torch/_refs/nn/functional/__init__.py

@@ -0,0 +1,1238 @@
+# mypy: allow-untyped-defs
+import math
+from functools import wraps
+from typing import Callable, Optional, Union
+
+import torch
+import torch._prims as prims
+import torch._prims_common as utils
+import torch._refs as refs
+from torch._decomp import register_decomposition
+from torch._prims_common import (
+    ELEMENTWISE_TYPE_PROMOTION_KIND,
+    NumberType,
+    ShapeType,
+    TensorLike,
+    TensorLikeType,
+)
+from torch._prims_common.wrappers import (
+    elementwise_type_promotion_wrapper,
+    elementwise_unary_scalar_wrapper,
+    out_wrapper,
+)
+from torch._refs import _make_inplace
+
+__all__ = [
+    "alpha_dropout",
+    "celu",
+    "celu_",
+    "dropout",
+    "elu",
+    "elu_",
+    "gelu",
+    "glu",
+    "group_norm",
+    "hardshrink",
+    "hardtanh",
+    "hinge_embedding_loss",
+    "huber_loss",
+    "l1_loss",
+    "layer_norm",
+    "leaky_relu",
+    "log_softmax",
+    "margin_ranking_loss",
+    "mish",
+    "mish_",
+    "mse_loss",
+    "nll_loss",
+    "pairwise_distance",
+    "pdist",
+    "poisson_nll_loss",
+    "prelu",
+    "relu",
+    "relu6",
+    "selu",
+    "selu_",
+    "smooth_l1_loss",
+    "softmax",
+    "softmin",
+    "softplus",
+    "softshrink",
+    "tanhshrink",
+    "threshold",
+    "threshold_",
+    "triplet_margin_loss",
+]
+
+Tensor = torch.Tensor
+aten = torch._ops.ops.aten
+DispatchKey = torch._C.DispatchKey  # type: ignore[attr-defined]
+
+
+def _dropout_helper(
+    self: TensorLikeType,
+    val: float,
+) -> TensorLikeType:
+    """
+    Helper function for all dropout-type operators. During training,
+    some of the elements of the input tensor are randomly masked.
+
+    Returns the masked tensor of the boolean values.
+
+    """
+
+    return (
+        refs._uniform_helper(
+            self.shape, low=0.0, high=1.0, dtype=torch.float32, device=self.device
+        )
+        < val
+    )
+
+
+@register_decomposition(aten.alpha_dropout)
+def alpha_dropout(
+    self: TensorLikeType, p: float = 0.5, training: bool = False, inplace: bool = False
+) -> TensorLikeType:
+    if inplace:
+        raise NotImplementedError
+
+    if not training:
+        return self
+
+    torch._check(
+        p <= 1 and p >= 0,
+        lambda: f"dropout probability has to be between 0 and 1, but got, {p}",
+    )
+
+    if p == 1:
+        return torch.zeros_like(self)
+
+    if p == 0:
+        return self
+
+    dropout_mask = _dropout_helper(self, 1 - p)
+
+    # From paper: Self-Normalizing Neural Networks (https://arxiv.org/pdf/1706.02515.pdf)
+    # alpha = - SELU.alpha * SELU.scale, here
+    # SELU.alpha = 1.6732632423543772848170429916717 and
+    # SELU.scale = 1.0507009873554804934193349852946
+    alpha = -1.7580993408473766
+
+    a = 1.0 / math.sqrt((alpha * alpha * p + 1) * (1 - p))
+    b = torch.logical_not(dropout_mask)
+    b = b * (alpha * a) + alpha * a * p
+    dropout_mask = a * dropout_mask
+
+    return self * dropout_mask + b
+
+
+def _inplace_wrapper(fn):
+    """
+    Given a nn.functional non-linearity, implements its `inplace: bool` argument
+    """
+
+    # nb. We use the name of the first argument used in the unary references
+    @wraps(fn)
+    def _fn(a, *args, inplace=False, **kwargs):
+        if inplace:
+            torch._check(
+                "out" not in kwargs,
+                lambda: "Cannot set inplace=True and pass out= at the same time",
+            )
+            return fn(a, *args, inplace=False, out=a, **kwargs)
+        else:
+            return fn(a, *args, inplace=False, **kwargs)
+
+    return _fn
+
+
+# celu is implemented specially because it has an alpha argument
+# celu is very similar to elu
+@register_decomposition(aten.celu)
+@_inplace_wrapper
+@out_wrapper()
+@elementwise_type_promotion_wrapper(
+    type_promoting_args=("a",),
+    type_promotion_kind=ELEMENTWISE_TYPE_PROMOTION_KIND.DEFAULT,
+)
+def celu(
+    a: TensorLikeType, alpha: Optional[NumberType] = None, inplace: bool = False
+) -> TensorLikeType:
+    """
+    Reference implementation of torch.nn.functional.celu
+    """
+
+    if inplace:
+        raise NotImplementedError
+
+    rhs: TensorLikeType
+    if alpha is not None:
+        python_type = utils.dtype_to_type(a.dtype)
+        if not utils.is_weakly_lesser_type(type(alpha), python_type):
+            msg = f"alpha argument of type {type(alpha)} cannot be safely cast to type {python_type}!"
+            raise ValueError(msg)
+        rhs = alpha * torch.expm1(torch.true_divide(a, alpha))  # type: ignore[arg-type]
+    else:
+        rhs = torch.expm1(a)
+
+    return torch.where(a > 0, a, rhs)
+
+
+@_inplace_wrapper
+@out_wrapper()
+def dropout(
+    a: TensorLikeType, p: float = 0.5, training: bool = True, inplace: bool = False
+) -> TensorLikeType:
+    if inplace:
+        raise NotImplementedError
+
+    if not training:
+        return a
+
+    torch._check(
+        p <= 1 and p >= 0,
+        lambda: f"dropout probability has to be between 0 and 1, but got, {p}",
+    )
+
+    if p == 1:
+        return torch.zeros_like(a)
+
+    if p == 0:
+        return a
+
+    scale = 1 / (1 - p)
+    dropout_mask = _dropout_helper(a, 1 - p)
+
+    return a * dropout_mask * scale
+
+
+@register_decomposition(aten.elu)
+@_inplace_wrapper
+@out_wrapper()
+@elementwise_type_promotion_wrapper(
+    type_promoting_args=("a",),
+    type_promotion_kind=ELEMENTWISE_TYPE_PROMOTION_KIND.DEFAULT,
+)
+def elu(
+    a: TensorLikeType,
+    alpha: NumberType = 1.0,
+    scale: NumberType = 1.0,
+    input_scale: NumberType = 1.0,
+    inplace: bool = False,
+) -> TensorLikeType:
+    """
+    Reference implementation of torch.nn.functional.elu
+    """
+    if inplace:
+        raise NotImplementedError
+
+    # nb. This should be factored out into a can_cast aux function
+    python_type = utils.dtype_to_type(a.dtype)
+    torch._check(
+        utils.is_weakly_lesser_type(type(input_scale), python_type),
+        lambda: f"input_scale argument of type {type(input_scale)} cannot be safely cast to type {python_type}!",
+    )
+    torch._check(
+        utils.is_weakly_lesser_type(type(scale), python_type),
+        lambda: f"scale argument of type {type(scale)} cannot be safely cast to type {python_type}!",
+    )
+    torch._check(
+        utils.is_weakly_lesser_type(type(alpha), python_type),
+        lambda: f"alpha argument of type {type(alpha)} cannot be safely cast to type {python_type}!",
+    )
+
+    return torch.where(a > 0, scale * a, (alpha * scale) * torch.expm1(a * input_scale))
+
+
+@register_decomposition(aten.relu)
+@_inplace_wrapper
+@out_wrapper()
+@elementwise_type_promotion_wrapper(
+    type_promoting_args=("a",),
+    type_promotion_kind=ELEMENTWISE_TYPE_PROMOTION_KIND.DEFAULT,
+)
+def relu(a: TensorLikeType, inplace: bool = False) -> TensorLikeType:
+    """
+    Reference implementation of torch.nn.functional.relu
+    """
+
+    if inplace:
+        raise NotImplementedError
+
+    return torch.where(torch.le(a, 0), 0, a)
+
+
+def group_norm(
+    input: Tensor,
+    num_groups: int,
+    weight: Optional[Tensor] = None,
+    bias: Optional[Tensor] = None,
+    eps: float = 1e-5,
+) -> Tensor:
+    """
+    Reference implementation of :func:`torch.nn.functional.group_norm`.
+    """
+    torch._check(
+        input.ndim >= 2,
+        lambda: f"Expected at least 2 dimensions for input tensor but received {input.ndim}",
+    )
+
+    batch_size = input.shape[0]
+    num_channels = input.shape[1]
+    torch._check(
+        num_channels % num_groups == 0,
+        lambda: "Expected number of channels in input to be divisible by num_groups, "
+        + f"but got input of shape {input.shape} and num_groups = {num_groups}",
+    )
+
+    # input shape is (N, C, *), so we flatten all inner dimensions except (N, C)
+    flattened_inner_size = 1
+    for dim_length in input.shape[2:]:
+        flattened_inner_size *= dim_length
+
+    return torch.native_group_norm(
+        input,
+        weight,
+        bias,
+        batch_size,
+        num_channels,
+        flattened_inner_size,
+        num_groups,
+        eps,
+    )[0]
+
+
+def layer_norm(
+    input: Tensor,
+    normalized_shape: ShapeType,
+    weight: Optional[Tensor] = None,
+    bias: Optional[Tensor] = None,
+    eps: float = 1e-5,
+) -> Tensor:
+    """
+    Reference implementation of :func:`torch.nn.functional.layer_norm`.
+    """
+    return torch.native_layer_norm(input, normalized_shape, weight, bias, eps)[0]
+
+
+@register_decomposition(aten.leaky_relu)
+@_inplace_wrapper
+@out_wrapper()
+@elementwise_type_promotion_wrapper(
+    type_promoting_args=("a",),
+    type_promotion_kind=ELEMENTWISE_TYPE_PROMOTION_KIND.DEFAULT,
+)
+def leaky_relu(
+    a: TensorLikeType, negative_slope: float = 0.01, inplace: bool = False
+) -> TensorLikeType:
+    """
+    Reference implementation of torch.nn.functional.leaky_relu
+    """
+
+    if inplace:
+        raise NotImplementedError
+
+    python_type = utils.dtype_to_type(a.dtype)
+    if not utils.is_weakly_lesser_type(type(negative_slope), python_type):
+        msg = f"negative_slope argument of type {type(negative_slope)} cannot be safely cast to type {python_type}!"
+        raise ValueError(msg)
+    return torch.where(torch.gt(a, 0), a, torch.mul(a, negative_slope))
+
+
+@register_decomposition(aten.mish)
+@_inplace_wrapper
+@out_wrapper()
+@elementwise_type_promotion_wrapper(
+    type_promoting_args=("a",),
+    type_promotion_kind=ELEMENTWISE_TYPE_PROMOTION_KIND.DEFAULT,
+)
+def mish(a: TensorLikeType, inplace: bool = False) -> TensorLikeType:
+    """
+    Reference implementation of torch.nn.functional.mish
+    """
+
+    if inplace:
+        raise NotImplementedError
+    return a * torch.tanh(torch.nn.functional.softplus(a))
+
+
+@register_decomposition(aten.selu)
+@_inplace_wrapper
+@out_wrapper()
+@elementwise_type_promotion_wrapper(
+    type_promoting_args=("a",),
+    type_promotion_kind=ELEMENTWISE_TYPE_PROMOTION_KIND.DEFAULT,
+)
+def selu(a: TensorLikeType, inplace: bool = False) -> TensorLikeType:
+    """
+    Reference implementation of torch.nn.functional.selu
+    """
+    if inplace:
+        raise NotImplementedError
+
+    alpha = 1.6732632423543772848170429916717
+    scale = 1.0507009873554804934193349852946
+
+    rhs = alpha * torch.expm1(a)
+
+    return scale * torch.where(a > 0, a, rhs)
+
+
+# Forwarding alias: the functional variant doesn't support the out kwarg
+# CompositeImplicitAutograd - don't register decomp
+def softmax(
+    a: TensorLikeType,
+    dim: Optional[int] = None,
+    _stacklevel: int = 3,  # for compat when using TorchRefsMode(strict=True)
+    dtype: Optional[torch.dtype] = None,
+) -> TensorLikeType:
+    # The error is for compat with regular PyTorch, which has this behavior
+    # deprecated.  For PrimTorch, it's fine to drop support for deprecated
+    # behavior because it requires explicit opt in.  This error is to inform
+    # users how to update their calls.
+    torch._check(dim is not None, lambda: "implicit dim not supported, use dim=X")
+    return torch.softmax(a=a, dim=dim, dtype=dtype)  # type: ignore[call-overload]
+
+
+# CompositeImplicitAutograd - don't register decomp
+def softmin(
+    a: TensorLikeType,
+    dim: Optional[int] = None,
+    _stacklevel: int = 3,  # for compat when using TorchRefsMode(strict=True)
+    dtype: Optional[torch.dtype] = None,
+) -> TensorLikeType:
+    # The error is for compat with regular PyTorch, which has this behavior
+    # deprecated.  For PrimTorch, it's fine to drop support for deprecated
+    # behavior because it requires explicit opt in.  This error is to inform
+    # users how to update their calls.
+    torch._check(dim is not None, lambda: "implicit dim not supported, use dim=X")
+    return torch.softmax(a=-a, dim=dim, dtype=dtype)  # type: ignore[call-overload]
+
+
+# softplus is implemented specially because it has beta and threshold arguments
+@register_decomposition(aten.softplus)
+@_inplace_wrapper
+@out_wrapper()
+@elementwise_type_promotion_wrapper(
+    type_promoting_args=("a",),
+    type_promotion_kind=ELEMENTWISE_TYPE_PROMOTION_KIND.DEFAULT,
+)
+def softplus(
+    a: TensorLikeType,
+    beta: Optional[NumberType] = None,
+    threshold: NumberType = 20,
+    inplace: bool = False,
+) -> TensorLikeType:
+    """
+    Reference implementation of torch.nn.functional.softplus
+    """
+
+    if inplace:
+        raise NotImplementedError
+
+    rhs: TensorLikeType
+    if beta is not None:
+        python_type = utils.dtype_to_type(a.dtype)
+        if not utils.is_weakly_lesser_type(type(beta), python_type):
+            msg = f"beta argument of type {type(beta)} cannot be safely cast to type {python_type}!"
+            raise ValueError(msg)
+        scaled_input = a * beta
+        rhs = torch.true_divide(torch.log1p(torch.exp(scaled_input)), beta)  # type: ignore[arg-type]
+
+    else:
+        scaled_input = a
+        rhs = torch.log1p(torch.exp(scaled_input))
+
+    return torch.where(scaled_input > threshold, a, rhs)
+
+
+@aten.hardshrink.default.py_impl(DispatchKey.Autograd)
+@register_decomposition(aten.hardshrink)
+@out_wrapper()
+def hardshrink(a: TensorLikeType, lambd: float = 0.5):
+    # Formula for reference,
+    # hardshrink(x) = x if x > lambd
+    #               = x if x < -lambd
+    #               = 0 otherwise
+    return torch.where(torch.abs(a) <= lambd, 0, a)
+
+
+@aten.softshrink.default.py_impl(DispatchKey.Autograd)
+@register_decomposition(aten.softshrink)
+@out_wrapper()
+def softshrink(a: TensorLikeType, lambd: float = 0.5):
+    # Formula for reference,
+    # softshrink(x) = x - lambd if x > lambd
+    #               = x + lambd if x < -lambd
+    #               = 0 otherwise
+    torch._check(
+        lambd >= 0,
+        lambda: f"lambda must be greater or equal to 0, but found to be {lambd}",
+    )
+    # We implement this in one torch.where to generate better code in the backward
+    # see https://github.com/pytorch/pytorch/pull/107052#discussion_r1293748211
+    return torch.where(torch.abs(a) > lambd, a - torch.sign(a) * lambd, 0)
+
+
+# Losses
+def _reduction_int_to_str(reduction: int) -> str:
+    from torch._decomp.decompositions import Reduction
+
+    if reduction == Reduction.NONE.value:
+        return "none"
+    elif reduction == Reduction.MEAN.value:
+        return "mean"
+    elif reduction == Reduction.SUM.value:
+        return "sum"
+    else:
+        raise ValueError(f"{reduction} is not a valid value for reduction")
+
+
+def _apply_loss_reduction(loss: TensorLikeType, reduction: str) -> TensorLikeType:
+    if reduction == "sum":
+        return torch.sum(loss)
+    elif reduction == "mean":
+        return torch.mean(loss)
+    else:  # reduction == "none"
+        return loss
+
+
+def _check_reduction_value(reduction: str):
+    if reduction not in ("mean", "sum", "none"):
+        raise ValueError(f"{reduction} is not a valid value for reduction")
+
+
+# This helper function maps depreciated arguments, "size_average" and "reduce"
+# to their corresponding "reduction" string argument
+def _get_string_reduction_arg(
+    *, size_average: Optional[bool], reduce: Optional[bool]
+) -> str:
+    if size_average is None:
+        size_average = True
+    if reduce is None:
+        reduce = True
+    if size_average and reduce:
+        ret = "mean"
+    elif reduce:
+        ret = "sum"
+    else:
+        ret = "none"
+    return ret
+
+
+# CompositeImplicitAutograd - don't register decomp
+@elementwise_type_promotion_wrapper(
+    type_promoting_args=("input", "target"),
+    type_promotion_kind=ELEMENTWISE_TYPE_PROMOTION_KIND.COMPLEX_TO_FLOAT,
+)
+def l1_loss(
+    input: TensorLikeType,
+    target: TensorLikeType,
+    size_average: Optional[bool] = None,
+    reduce: Optional[bool] = None,
+    reduction: str = "mean",
+) -> TensorLikeType:
+    """
+    Reference implementation of torch.nn.functional.l1_loss
+    """
+    if size_average is not None or reduce is not None:
+        # TODO: Raise exception instead of converting value.  This is only for
+        # primTorch since it can drop support for deprecated arguments.
+        # msg = "size_average and reduce args are deprecated, please use reduction argument."
+        reduction = _get_string_reduction_arg(size_average=size_average, reduce=reduce)
+    _check_reduction_value(reduction)
+    loss = torch.abs(input - target)
+    return _apply_loss_reduction(loss, reduction)
+
+
+@elementwise_type_promotion_wrapper(
+    type_promoting_args=("input", "target"),
+    type_promotion_kind=ELEMENTWISE_TYPE_PROMOTION_KIND.COMPLEX_TO_FLOAT,
+)
+def smooth_l1_loss(
+    input: TensorLikeType,
+    target: TensorLikeType,
+    size_average: Optional[bool] = None,
+    reduce: Optional[bool] = None,
+    reduction: str = "mean",
+    beta: float = 1.0,
+) -> TensorLikeType:
+    """
+    Reference implementation of torch.nn.functional.smooth_l1_loss
+    """
+    if size_average is not None or reduce is not None:
+        # TODO: Raise exception instead of converting value.  This is only for
+        # primTorch since it can drop support for deprecated arguments.
+        # msg = "size_average and reduce args are deprecated, please use reduction argument."
+        reduction = _get_string_reduction_arg(size_average=size_average, reduce=reduce)
+    _check_reduction_value(reduction)
+
+    if beta == 0.0:
+        return torch.nn.functional.l1_loss(
+            input, target, size_average=size_average, reduce=reduce, reduction=reduction
+        )
+    else:
+        loss = torch.abs(input - target)
+        loss = torch.where(loss < beta, 0.5 * loss**2 / beta, loss - 0.5 * beta)
+        return _apply_loss_reduction(loss, reduction)
+
+
+# Forwarding alias: the functional variant doesn't support the out kwarg
+# CompositeImplicitAutograd - don't register decomp
+def log_softmax(
+    a: TensorLikeType,
+    dim: Optional[int] = None,
+    _stacklevel: int = 3,  # for compat when using TorchRefsMode(strict=True)
+    dtype: Optional[torch.dtype] = None,
+) -> TensorLikeType:
+    # The error is for compat with regular PyTorch, which has this behavior
+    # deprecated.  For PrimTorch, it's fine to drop support for deprecated
+    # behavior because it requires explicit opt in.  This error is to inform
+    # users how to update their calls.
+    torch._check(dim is not None, lambda: "implicit dim not supported, use dim=X")
+    return torch.log_softmax(a=a, dim=dim, dtype=dtype)  # type: ignore[call-overload]
+
+
+@register_decomposition(aten.margin_ranking_loss)
+def margin_ranking_loss(
+    input1: TensorLikeType,
+    input2: TensorLikeType,
+    target: TensorLikeType,
+    margin: float = 0.0,
+    reduction: str = "mean",
+) -> TensorLikeType:
+    # loss_without_reduction = max(0, -target * (input1 - input2) + margin)
+    if input1.ndim != input2.ndim or input1.ndim != target.ndim:
+        raise RuntimeError(
+            "margin_ranking_loss : All input tensors should have same dimension but got sizes: "
+            f"input1: {input1.shape}, input2: {input2.shape}, target: {target.shape} "
+        )
+    _check_reduction_value(reduction)
+    loss = torch.clamp_min(-target * (input1 - input2) + margin, 0)
+    return _apply_loss_reduction(loss, reduction)
+
+
+@elementwise_type_promotion_wrapper(
+    type_promoting_args=("input", "target"),
+    type_promotion_kind=ELEMENTWISE_TYPE_PROMOTION_KIND.COMPLEX_TO_FLOAT,
+)
+def mse_loss(
+    input: TensorLikeType,
+    target: TensorLikeType,
+    size_average: Optional[bool] = None,
+    reduce: Optional[bool] = None,
+    reduction: str = "mean",
+) -> TensorLikeType:
+    if size_average is not None or reduce is not None:
+        # TODO: Raise exception instead of converting value.  This is only for
+        # primTorch since it can drop support for deprecated arguments.
+        # msg = "size_average and reduce args are deprecated, please use reduction argument."
+        reduction = _get_string_reduction_arg(size_average=size_average, reduce=reduce)
+    _check_reduction_value(reduction)
+    loss = torch.pow(input - target, 2)
+    return _apply_loss_reduction(loss, reduction)
+
+
+@register_decomposition(aten.hinge_embedding_loss)
+def hinge_embedding_loss(
+    input: TensorLikeType,
+    target: TensorLikeType,
+    margin: float = 1.0,
+    reduction: str = "mean",
+) -> TensorLikeType:
+    # loss_without_reduction = input if y == 1
+    #                        = max(0, margin - input) if y == -1
+    _check_reduction_value(reduction)
+    margin_clamp = torch.clamp_min(margin - input, 0)
+    output_margin = torch.where(target != 1, margin_clamp, 0)
+    output_self = torch.where(target != -1, input, 0)
+    loss = output_margin + output_self
+    return _apply_loss_reduction(loss, reduction)
+
+
+def _nll_loss_nd(
+    input: TensorLikeType,
+    target: TensorLikeType,
+    weight: Optional[TensorLikeType],
+    reduction: str,
+    ignore_index: int,
+) -> TensorLikeType:
+    torch._check(
+        input.ndim > 0 and input.ndim <= 3,
+        lambda: f"Expected input dimension to be either [1, 2, 3] but received {input.ndim}.",
+    )
+
+    torch._check(
+        (input.ndim == 1) or (input.shape[0] == target.shape[0]),
+        lambda: f"Expected input batch size {input.shape[0]} to match target batch size {target.shape[0]}.",
+    )
+
+    _check_reduction_value(reduction)
+
+    flat_target = torch.flatten(target)
+    ignore_classes_mask = torch.eq(flat_target, ignore_index)
+
+    # TODO: Enable data-dependent checks with debug mode
+    # TODO: This check does not work with FakeTensor inputs; See Issue #85834
+    # Explicit cast for class_check to bool; See Issue #78071
+    """
+    from torch._subclasses.fake_tensor import FakeTensor
+    num_classes = input.shape[1] if input.ndim > 1 else input.shape[0]
+    valid_classes_mask = torch.logical_and(
+        (flat_target >= 0), (flat_target < num_classes)
+    )
+    class_check = torch.all(torch.logical_or(ignore_classes_mask, valid_classes_mask))
+    torch._check(
+        isinstance(target, FakeTensor) or bool(class_check.item()),
+        lambda: "A target class is out-of-bounds and not the ignore index.",
+    )
+    """
+
+    ignore_class_weight = torch.scalar_tensor(0, dtype=input.dtype, device=input.device)
+    class_weight = (
+        torch.scalar_tensor(1, dtype=input.dtype, device=input.device)
+        if weight is None
+        else weight[flat_target]
+    )
+    current_weight = torch.where(
+        ignore_classes_mask,
+        ignore_class_weight,
+        class_weight,
+    )
+
+    if input.ndim == 1:
+        # implicit batch size = 1
+        # input (1 batch size, C classes)
+        loss = -input[target] * current_weight
+    elif input.ndim == 2:
+        # input (N batch size, C classes)
+        batch_size = input.shape[0]
+        loss = -input[torch.arange(batch_size), target] * current_weight
+    else:
+        # 3D case (N batch size, C classe, K dimensions)
+        # input (N batch size, C classes, K)
+        batch_size = input.shape[0]
+        extent = input.shape[2]
+        numel = batch_size * extent
+        indices = torch.arange(numel)
+        bdx = indices // extent
+        kdx = indices % extent
+        loss = -input[bdx, flat_target, kdx] * current_weight
+    loss = torch.reshape(loss, target.shape)
+
+    if reduction == "none":
+        return loss
+    elif reduction == "sum":
+        return torch.sum(loss)
+    else:
+        # calculate weighted mean of the loss function
+        return torch.sum(loss) / torch.sum(current_weight)
+
+
+@register_decomposition(aten.nll_loss)
+@out_wrapper()
+@elementwise_type_promotion_wrapper(
+    type_promoting_args=("input",),
+    type_promotion_kind=ELEMENTWISE_TYPE_PROMOTION_KIND.DEFAULT,
+)
+def nll_loss(
+    input: TensorLikeType,
+    target: TensorLikeType,
+    weight: Optional[TensorLikeType] = None,
+    size_average: Optional[bool] = None,
+    ignore_index: int = -100,
+    reduce: Optional[bool] = None,
+    reduction: str = "mean",
+) -> TensorLikeType:
+    """
+    Reference implementation of torch.nn.functional.nll_loss
+    """
+    torch._check(
+        input.ndim > 0,
+        lambda: f"Expected input tensor to have 1 or more dimensions (got {input.ndim})",
+    )
+
+    # TODO: raise exception instead of converting value
+    # msg = "size_average and reduce args are deprecated, please use reduction argument."
+    # Convert these options for consistency with the eager mode
+    if size_average is not None or reduce is not None:
+        reduction = _get_string_reduction_arg(size_average=size_average, reduce=reduce)
+
+    # The expected behavior when the target and input have zero elements:
+    #   reduction = 'none' --- tensor([])
+    #   reduction = 'sum'  --- tensor(0.)
+    #   reduction = 'mean' --- tensor(nan)
+    # Mean reduction on empty tensors produces NaN. See the discussion in
+    # https://github.com/pytorch/pytorch/pull/64572#issuecomment-926504162
+    if input.numel() == 0 and target.numel() == 0:
+        if reduction == "none":
+            return torch.zeros_like(target)
+        elif reduction == "sum":
+            return torch.empty_like(target)
+        else:
+            return torch.full_like(target, float("nan"))
+
+    # The _nll_loss_nd helper function handles the most common cases.
+    # ndim == 1 (Single Example)
+    #   => Batch Size: 1, Input: (C), Target: ()
+    # ndim == 2 (k = 1)
+    #   => Batch Size: N, Input: (N, C), Target: (N)
+    # ndim == 3 (k > 1)
+    #   => Batch Size: N, Input: (N, C, K), Target: (N, K)
+    if input.ndim <= 3:
+        return _nll_loss_nd(input, target, weight, reduction, ignore_index)
+
+    # For ndim > 3, we reshape the input and target to 3-D case.
+    # Input (N batch-size, C classes, k-dimensions)
+    # Target (N batch-size, k-dimensions)
+    torch._check(
+        input.ndim > 0 and target.ndim > 0 and target.shape[1:] == input.shape[2:],
+        lambda: (
+            "Expected input and target to both have ndim > 0 and "
+            "target.shape[1:] == input.shape[2:], but got "
+            f"target.shape {target.shape} and input.shape {input.shape}"
+        ),
+    )
+
+    batch_size = input.shape[0]
+    num_classes = input.shape[1]
+    out_size = [batch_size] + list(target.shape[1:])
+
+    input = torch.reshape(input, [batch_size, num_classes, -1])
+    target = torch.reshape(target, [batch_size, -1])
+    if reduction != "none":
+        return _nll_loss_nd(input, target, weight, reduction, ignore_index)
+    else:
+        result = _nll_loss_nd(input, target, weight, reduction, ignore_index)
+        # reshape flattened inner-dim to original k-dimensions
+        return torch.reshape(result, out_size)
+
+
+# TODO: This ref supports int reduction and out kwarg to be compatible with ATen:
+# https://github.com/pytorch/pytorch/issues/83931
+# TODO: Could be rewritten to support complex:
+# https://github.com/pytorch/pytorch/pull/85041
+@register_decomposition(aten.huber_loss)
+@out_wrapper()
+@elementwise_type_promotion_wrapper(
+    type_promoting_args=("input", "target"),
+    type_promotion_kind=ELEMENTWISE_TYPE_PROMOTION_KIND.DEFAULT,
+)
+def huber_loss(
+    input: TensorLikeType,
+    target: TensorLikeType,
+    reduction: Union[str, int] = "mean",
+    delta: float = 1.0,
+) -> TensorLikeType:
+    """
+    Reference implementation of torch.nn.functional.huber_loss
+    """
+    if type(reduction) is int:
+        reduction = _reduction_int_to_str(reduction)
+    _check_reduction_value(reduction)  # type: ignore[arg-type]
+    torch._check(
+        delta > 0,
+        lambda: "huber_loss does not support non-positive values for delta.",
+    )
+    z = (input - target).abs()
+    loss = torch.where(z < delta, 0.5 * z * z, delta * (z - 0.5 * delta))
+    return _apply_loss_reduction(loss, reduction)  # type: ignore[arg-type]
+
+
+# tanhshrink does not use _make_elementwise_unary_reference because it does not support out
+@elementwise_unary_scalar_wrapper
+@elementwise_type_promotion_wrapper(
+    type_promoting_args=("a",),
+    type_promotion_kind=utils.ELEMENTWISE_TYPE_PROMOTION_KIND.INT_TO_FLOAT,
+)
+def tanhshrink(a: TensorLikeType) -> TensorLikeType:
+    """
+    Reference implementation of torch.nn.functional.tanhshrink
+    """
+    if not isinstance(a, TensorLike):
+        raise RuntimeError(
+            "Expected a tensor input for an elementwise unary operation!"
+        )
+    return a - torch.tanh(a)
+
+
+@register_decomposition(aten.threshold)
+@_inplace_wrapper
+@out_wrapper()
+@elementwise_type_promotion_wrapper(
+    type_promoting_args=("a",),
+    type_promotion_kind=ELEMENTWISE_TYPE_PROMOTION_KIND.DEFAULT,
+)
+def threshold(
+    a: TensorLikeType,
+    threshold: NumberType,
+    value: Union[bool, int, float],
+    inplace: bool = False,
+) -> TensorLikeType:
+    """
+    Reference implementation of torch.nn.functional.threshold
+    """
+
+    if inplace:
+        raise NotImplementedError
+
+    return torch.where(a <= threshold, value, a)
+
+
+# CompositeImplicitAutograd - don't register decomp
+# No elementwise type promotion - core op doesn't explicitly type promote
+def triplet_margin_loss(
+    anchor: TensorLikeType,
+    positive: TensorLikeType,
+    negative: TensorLikeType,
+    margin: float = 1.0,
+    p: float = 2,
+    eps: float = 1e-6,
+    swap: bool = False,
+    size_average: Optional[bool] = None,
+    reduce: Optional[bool] = None,
+    reduction: str = "mean",
+) -> TensorLikeType:
+    if size_average is not None or reduce is not None:
+        # TODO: Raise exception instead of converting value.  This is only for
+        # primTorch since it can drop support for deprecated arguments.
+        # msg = "size_average and reduce args are deprecated, please use reduction argument."
+        reduction = _get_string_reduction_arg(size_average=size_average, reduce=reduce)
+
+    if margin <= 0:
+        raise ValueError(f"margin must be greater than 0, got {margin}")
+
+    # torch.nn.functional.triplet_margin_with_distance_loss has no ref defined
+    # since it's a pure Python implementation.  Use this helper instead.
+    return _triplet_margin_with_distance_loss(
+        anchor=anchor,
+        positive=positive,
+        negative=negative,
+        distance_function=lambda x, y: torch.pairwise_distance(x, y, p, eps),
+        margin=margin,
+        swap=swap,
+        reduction=reduction,
+    )
+
+
+# Pure Python impl - don't register decomp and don't add a ref.  Defined as a
+# helper here since triplet_margin_loss can be nicely implemented with it.
+def _triplet_margin_with_distance_loss(
+    anchor: TensorLikeType,
+    positive: TensorLikeType,
+    negative: TensorLikeType,
+    *,
+    distance_function: Optional[
+        Callable[[TensorLikeType, TensorLikeType], TensorLikeType]
+    ] = None,
+    margin: float = 1.0,
+    swap: bool = False,
+    reduction: str = "mean",
+) -> TensorLikeType:
+    _check_reduction_value(reduction)
+
+    a_dim = anchor.ndim
+    p_dim = positive.ndim
+    n_dim = negative.ndim
+    torch._check(
+        a_dim == p_dim and p_dim == n_dim,
+        lambda: (
+            f"The anchor, positive, and negative tensors are expected to have "
+            f"the same number of dimensions, but got: anchor {a_dim}D, "
+            f"positive {p_dim}D, and negative {n_dim}D inputs"
+        ),
+    )
+
+    if distance_function is None:
+        distance_function = torch.pairwise_distance
+
+    dist_pos = distance_function(anchor, positive)
+    dist_neg = distance_function(anchor, negative)
+    # The distance swap is described in the paper "Learning shallow
+    # convolutional feature descriptors with triplet losses" by V. Balntas, E.
+    # Riba et al.  If True, and if the positive example is closer to the
+    # negative example than the anchor is, swaps the positive example and the
+    # anchor in the loss computation.
+    if swap:
+        dist_swap = distance_function(positive, negative)
+        dist_neg = torch.minimum(dist_neg, dist_swap)
+    loss = torch.clamp_min(margin + dist_pos - dist_neg, 0)
+    return _apply_loss_reduction(loss, reduction)
+
+
+@register_decomposition(aten.hardtanh)
+@_inplace_wrapper
+@out_wrapper()
+@elementwise_unary_scalar_wrapper
+@elementwise_type_promotion_wrapper(
+    type_promoting_args=("a"),
+    type_promotion_kind=ELEMENTWISE_TYPE_PROMOTION_KIND.DEFAULT,
+)
+def hardtanh(
+    a: TensorLikeType,
+    min_val: NumberType = -1,
+    max_val: NumberType = 1,
+    inplace: bool = False,
+) -> TensorLikeType:
+    """
+    Reference implementation of torch.nn.functional.hardtanh
+    """
+    if inplace:
+        raise NotImplementedError
+    if utils.is_boolean_dtype(a.dtype):
+        raise RuntimeError("Bool inputs not supported for hardtanh")
+
+    # preserve legacy behavior of boundaries not causing type promotion
+    if utils.is_integer_dtype(a.dtype):
+        min_val = int(min_val)  # type: ignore[arg-type]
+        max_val = int(max_val)  # type: ignore[arg-type]
+        if not (a.dtype != torch.uint8 or (min_val >= 0 and max_val >= 0)):
+            raise RuntimeError(
+                "Cannot do hardtanh on an unsigned type with negative limits"
+            )
+
+    if min_val > max_val:  # type: ignore[operator]
+        raise ValueError("min_val cannot be greater than max_val")
+
+    return torch.clamp(a, min_val, max_val)  # type: ignore[arg-type]
+
+
+@register_decomposition(aten.gelu)
+@out_wrapper()
+@elementwise_unary_scalar_wrapper
+@elementwise_type_promotion_wrapper(
+    type_promoting_args=("a",),
+    type_promotion_kind=utils.ELEMENTWISE_TYPE_PROMOTION_KIND.DEFAULT,
+)
+def gelu(a: TensorLikeType, approximate: str = "none") -> TensorLikeType:
+    """
+    Reference implementation of torch.nn.functional.gelu
+    """
+    if not isinstance(a, TensorLike):
+        raise RuntimeError(
+            "Expected a tensor input for an elementwise unary operation!"
+        )
+    M_SQRT2 = 1.41421356237309504880
+    M_SQRT1_2 = 0.70710678118654752440
+    M_2_SQRTPI = 1.12837916709551257390
+    if approximate == "tanh":
+        kBeta = M_SQRT2 * M_2_SQRTPI * 0.5
+        kKappa = 0.044715
+        a_cube = a * a * a
+        inner = kBeta * (a + kKappa * a_cube)
+        return 0.5 * a * (1 + torch.tanh(inner))
+    elif approximate == "none":
+        kAlpha = M_SQRT1_2
+        return a * 0.5 * (1 + torch.erf(a * kAlpha))
+    else:
+        raise RuntimeError("approximate argument must be either none or tanh.")
+
+
+# CompositeImplicitAutograd - don't register decomp
+@elementwise_type_promotion_wrapper(
+    type_promoting_args=("input", "target"),
+    type_promotion_kind=ELEMENTWISE_TYPE_PROMOTION_KIND.INT_TO_FLOAT,
+)
+def poisson_nll_loss(
+    input: TensorLikeType,
+    target: TensorLikeType,
+    log_input: bool = True,
+    full: bool = False,
+    size_average: Optional[bool] = None,
+    eps: float = 1e-8,
+    reduce: Optional[bool] = None,
+    reduction: str = "mean",
+) -> TensorLikeType:
+    """
+    Reference implementation of torch.nn.functional.poisson_nll_loss
+    """
+    if size_average is not None or reduce is not None:
+        # TODO: Raise exception instead of converting value.  This is only for
+        # primTorch since it can drop support for deprecated arguments.
+        # msg = "size_average and reduce args are deprecated, please use reduction argument."
+        reduction = _get_string_reduction_arg(size_average=size_average, reduce=reduce)
+    _check_reduction_value(reduction)
+    if log_input:
+        loss = torch.exp(input) - target * input
+    else:
+        loss = input - target * torch.log(input + eps)
+
+    if full:
+        stirling_term = (
+            target * torch.log(target) - target + 0.5 * torch.log(2 * torch.pi * target)
+        )
+        # avoid inplace add
+        loss = loss + stirling_term.masked_fill(target <= 1, 0)
+    return _apply_loss_reduction(loss, reduction)
+
+
+@register_decomposition(aten.prelu)
+@elementwise_type_promotion_wrapper(
+    type_promoting_args=("a", "weight"),
+    type_promotion_kind=utils.ELEMENTWISE_TYPE_PROMOTION_KIND.DEFAULT,
+)
+def prelu(a: TensorLikeType, weight: TensorLikeType) -> TensorLikeType:
+    """
+    Reference implementation of torch.nn.functional.prelu
+    """
+    torch._check(
+        isinstance(a, TensorLike),
+        lambda: f"prelu: Expected `a` to be tensor, but got: {type(a)}",
+    )
+    torch._check(
+        isinstance(weight, TensorLike),
+        lambda: f"prelu: Expected `weight` to be tensor, but got: {type(weight)}",
+    )
+
+    if weight.numel() != 1:
+        torch._check(a.ndim > 0, lambda: "Not allow zero-dim input tensor.")
+        channel_size = a.shape[1] if a.ndim >= 2 else 1
+        torch._check(
+            weight.numel() == channel_size,
+            lambda: f"Mismatch of parameter numbers and input channel size. Found parameter numbers ="
+            f" {weight.numel()} and channel size = {channel_size}.",
+        )
+
+    torch._check(
+        weight.ndim == 0 or weight.ndim == 1,
+        lambda: f"prelu: Expected `weight` to be a scalar or 1D tensor, but got: "
+        f"ndim = {weight.ndim}",
+    )
+    if a.ndim == 0:
+        weight = weight[0] if weight.ndim == 1 else weight
+    else:
+        weight = prims.broadcast_in_dim(
+            weight, a.shape, tuple() if weight.ndim == 0 else (0 if a.ndim == 1 else 1,)
+        )
+
+    return torch.where(a > 0, a, a * weight)
+
+
+@register_decomposition(aten.relu6)
+@_inplace_wrapper
+@out_wrapper()
+def relu6(a: TensorLikeType, inplace: bool = False) -> TensorLikeType:
+    """
+    Reference implementation of torch.nn.functional.relu6
+    """
+    if inplace:
+        raise NotImplementedError
+
+    # See https://github.com/pytorch/pytorch/pull/81142#discussion_r918220126
+    # It may be better to use clamp here, but we use hardtanh to replicate
+    # the behavior of the existing implementation
+    return torch.nn.functional.hardtanh(a, 0, 6)
+
+
+@register_decomposition(aten.glu)
+@out_wrapper()
+@elementwise_type_promotion_wrapper(
+    type_promoting_args=("a",),
+    type_promotion_kind=utils.ELEMENTWISE_TYPE_PROMOTION_KIND.DEFAULT,
+)
+def glu(a: TensorLikeType, dim: int = -1) -> TensorLikeType:
+    dim = utils.canonicalize_dims(a.ndim, dim)
+    torch._check(
+        a.shape[dim] % 2 == 0,
+        lambda: f"Halving dimension must be even, but dimension {dim} is size {a.shape[dim]}",
+    )
+    b, c = torch.tensor_split(a, 2, dim)
+
+    return b * torch.sigmoid(c)
+
+
+@register_decomposition(aten.pairwise_distance)
+@out_wrapper()
+def pairwise_distance(
+    x1: TensorLikeType,
+    x2: TensorLikeType,
+    p: NumberType = 2.0,
+    eps: NumberType = 1e-6,
+    keepdim=False,
+) -> TensorLikeType:
+    return torch.linalg.vector_norm(x1 - x2 + eps, ord=p, dim=-1, keepdim=keepdim)
+
+
+@register_decomposition(aten.pdist)
+@out_wrapper()
+@elementwise_type_promotion_wrapper(
+    type_promoting_args=("a",),
+    type_promotion_kind=utils.ELEMENTWISE_TYPE_PROMOTION_KIND.DEFAULT,
+)
+def pdist(a: TensorLikeType, p: float = 2) -> TensorLikeType:
+    torch._check(a.ndim == 2, lambda: f"pdist only supports 2D tensors, got: {a.ndim}D")
+    torch._check(p >= 0, lambda: "pdist only supports non-negative p values")
+    # For p == 2 we can use an efficient implementation, but other values of p
+    # require creating a much bigger tensor for an intermediate step
+    if p == 2:
+        aTa = torch.mm(a, a.T)
+        aTa_diag = torch.diag(aTa)
+        t = torch.sqrt(torch.clamp(aTa_diag + aTa_diag.unsqueeze(-1) - 2 * aTa, min=0))
+    else:
+        t = torch.linalg.vector_norm(a.unsqueeze(1) - a, ord=p, dim=2)
+    i = torch.triu_indices(t.shape[0], t.shape[1], offset=1, device=a.device)
+    return t.flatten().index_select(0, i[0] * t.shape[0] + i[1])
+
+
+@register_decomposition(aten.pixel_shuffle)
+@out_wrapper()
+def pixel_shuffle(self: Tensor, upscale_factor: int):
+    torch._check(
+        self.dim() >= 3,
+        lambda: f"pixel_shuffle expects input to have at least 3 dimensions, but got input with {self.dim} dimension(s)",
+    )
+    batch = self.shape[:-3]
+    C_out = self.shape[-3] // upscale_factor**2
+    HW_out = (self.shape[-2] * upscale_factor, self.shape[-1] * upscale_factor)
+    n = len(batch)
+    B_dims = range(n)
+    C_dim, r1_dim, r2_dim, H_dim, W_dim = range(n, n + 5)
+    return (
+        self.view(
+            *batch,
+            C_out,
+            upscale_factor,
+            upscale_factor,
+            self.shape[-2],
+            self.shape[-1],
+        )
+        .permute(*B_dims, C_dim, H_dim, r1_dim, W_dim, r2_dim)
+        .reshape(*batch, C_out, *HW_out)
+        .clone(memory_format=utils.suggest_memory_format(self))
+    )
+
+
+@register_decomposition(aten.pixel_unshuffle)
+@out_wrapper()
+def pixel_unshuffle(self: Tensor, downscale_factor: int):
+    torch._check(
+        self.dim() >= 3,
+        lambda: f"pixel_unshuffle expects input to have at least 3 dimensions, but got input with {self.dim} dimension(s)",
+    )
+    batch = self.shape[:-3]
+    C_out = self.shape[-3] * downscale_factor**2
+    HW_out = (self.shape[-2] // downscale_factor, self.shape[-1] // downscale_factor)
+    n = len(batch)
+    B_dims = range(n)
+    C_dim, H_dim, r1_dim, W_dim, r2_dim = range(n, n + 5)
+    return (
+        self.view(
+            *batch,
+            self.shape[-3],
+            HW_out[0],
+            downscale_factor,
+            HW_out[1],
+            downscale_factor,
+        )
+        .permute(*B_dims, C_dim, r1_dim, r2_dim, H_dim, W_dim)
+        .reshape(*batch, C_out, *HW_out)
+        .clone(memory_format=utils.suggest_memory_format(self))
+    )
+
+
+# Needed as aten.{celu_,elu_...} exist (even if they don't have the in-place kwarg)
+celu_ = _make_inplace(celu)
+elu_ = _make_inplace(elu)
+mish_ = _make_inplace(mish)
+selu_ = _make_inplace(selu)
+threshold_ = _make_inplace(threshold)

parrot/lib/python3.10/site-packages/torch/_refs/special/__init__.py

@@ -0,0 +1,237 @@
+# mypy: allow-untyped-defs
+import math
+from typing import Optional, Union
+
+import torch
+import torch._prims as prims
+import torch._prims_common as utils
+import torch._refs as refs
+
+from torch import Tensor
+from torch._decomp import register_decomposition
+from torch._prims_common import (
+    ELEMENTWISE_TYPE_PROMOTION_KIND,
+    Number,
+    NumberType,
+    TensorLike,
+    TensorLikeType,
+)
+from torch._prims_common.wrappers import elementwise_type_promotion_wrapper, out_wrapper
+from torch._refs import (
+    _make_alias,
+    _make_elementwise_binary_reference,
+    _make_elementwise_unary_reference,
+)
+
+
+__all__ = [
+    "bessel_j0",
+    "bessel_j1",
+    "entr",
+    "erfcx",
+    "expit",
+    "i0e",
+    "i1",
+    "i1e",
+    "log_ndtr",
+    "logit",
+    "log_softmax",
+    "multigammaln",
+    "ndtr",
+    "ndtri",
+    "softmax",
+    "spherical_bessel_j0",
+    "xlog1py",
+    "zeta",
+]
+aten = torch._ops.ops.aten
+
+
+@_make_elementwise_unary_reference(
+    ELEMENTWISE_TYPE_PROMOTION_KIND.INT_TO_FLOAT,
+)
+def bessel_j0(a: TensorLikeType) -> TensorLikeType:
+    return prims.bessel_j0(a)
+
+
+@_make_elementwise_unary_reference(
+    ELEMENTWISE_TYPE_PROMOTION_KIND.INT_TO_FLOAT,
+)
+def bessel_j1(a: TensorLikeType) -> TensorLikeType:
+    return prims.bessel_j1(a)
+
+
+@register_decomposition(aten.special_entr)
+@out_wrapper()
+@elementwise_type_promotion_wrapper(
+    type_promoting_args=("a",),
+    type_promotion_kind=utils.ELEMENTWISE_TYPE_PROMOTION_KIND.INT_TO_FLOAT,
+)
+def entr(a: TensorLikeType) -> TensorLikeType:
+    return torch.where(
+        torch.isnan(a),
+        a,
+        torch.where(a > 0, -a * torch.log(a), torch.where(a == 0, 0, -torch.inf)),
+    )
+
+
+@register_decomposition(aten.special_erfcx)
+@out_wrapper()
+@elementwise_type_promotion_wrapper(
+    type_promoting_args=("a",),
+    type_promotion_kind=utils.ELEMENTWISE_TYPE_PROMOTION_KIND.INT_TO_FLOAT,
+)
+def erfcx(a: TensorLikeType) -> TensorLikeType:
+    return prims.erfcx(a)
+
+
+# alias for sigmoid
+expit = _make_alias(torch.sigmoid, "expit")
+
+
+@_make_elementwise_unary_reference(
+    ELEMENTWISE_TYPE_PROMOTION_KIND.INT_TO_FLOAT,
+)
+def i0e(a: TensorLikeType) -> TensorLikeType:
+    return prims.bessel_i0e(a)
+
+
+@_make_elementwise_unary_reference(
+    ELEMENTWISE_TYPE_PROMOTION_KIND.INT_TO_FLOAT,
+)
+def i1(a: TensorLikeType) -> TensorLikeType:
+    return prims.bessel_i1(a)
+
+
+@_make_elementwise_unary_reference(
+    ELEMENTWISE_TYPE_PROMOTION_KIND.INT_TO_FLOAT,
+)
+def i1e(a: TensorLikeType) -> TensorLikeType:
+    return prims.bessel_i1e(a)
+
+
+@register_decomposition(aten.special_log_ndtr)
+@out_wrapper()
+@elementwise_type_promotion_wrapper(
+    type_promoting_args=("a",),
+    type_promotion_kind=utils.ELEMENTWISE_TYPE_PROMOTION_KIND.INT_TO_FLOAT,
+)
+def log_ndtr(a: TensorLikeType) -> TensorLikeType:
+    # Note: M_SQRT1_2 is the value of 1 / sqrt(2)
+    M_SQRT1_2 = 0.707106781186547524400844362104849039
+    t = a * M_SQRT1_2
+    return torch.where(
+        a < 1.0,
+        torch.log(torch.special.erfcx(-t) / 2) - t * t,
+        torch.log1p(-torch.erfc(t) / 2),
+    )
+
+
+@register_decomposition(aten.logit)
+@out_wrapper()
+@elementwise_type_promotion_wrapper(
+    type_promoting_args=("self",),
+    type_promotion_kind=utils.ELEMENTWISE_TYPE_PROMOTION_KIND.INT_TO_FLOAT,
+)
+def logit(self: TensorLikeType, eps: Optional[float] = None) -> TensorLikeType:
+    if eps is None:
+        eps = -1.0
+    lo = eps
+    hi = 1 - eps
+    self = torch.clamp(self, lo, hi)
+    return torch.log(torch.true_divide(self, torch.sub(1, self)))
+
+
+@register_decomposition(aten.special_xlog1py)
+@out_wrapper()
+@elementwise_type_promotion_wrapper(
+    type_promoting_args=("a", "b"),
+    type_promotion_kind=ELEMENTWISE_TYPE_PROMOTION_KIND.INT_TO_FLOAT,
+)
+def xlog1py(a: Union[TensorLikeType, NumberType], b: Union[TensorLikeType, NumberType]):
+    torch._check(
+        isinstance(a, TensorLike) or isinstance(b, TensorLike),
+        lambda: 'Expected either argument a or b to be a Tensor"',
+    )
+
+    # Operations like eq and log do not handle scalar values, so we convert them to scalar_tensors.
+    if isinstance(a, TensorLike) and isinstance(b, Number):
+        b = refs.scalar_tensor(b, dtype=a.dtype, device=a.device)
+    elif isinstance(b, TensorLike) and isinstance(a, Number):
+        a = refs.scalar_tensor(a, dtype=b.dtype, device=b.device)
+
+    # mypy: expected "Tensor"
+    assert isinstance(a, TensorLike)
+    assert isinstance(b, TensorLike)
+    rhs = torch.where(torch.eq(a, 0), 0, torch.mul(a, torch.log1p(b)))
+    return torch.where(torch.isnan(b), float("nan"), rhs)
+
+
+@register_decomposition(aten.mvlgamma)
+@out_wrapper()
+@elementwise_type_promotion_wrapper(
+    type_promoting_args=("a",),
+    type_promotion_kind=utils.ELEMENTWISE_TYPE_PROMOTION_KIND.INT_TO_FLOAT,
+)
+def multigammaln(a: TensorLikeType, p: int) -> TensorLikeType:
+    c = 0.25 * p * (p - 1) * math.log(math.pi)
+    b = 0.5 * torch.arange(start=(1 - p), end=1, step=1, dtype=a.dtype, device=a.device)
+    return torch.sum(torch.lgamma(a.unsqueeze(-1) + b), dim=-1) + c
+
+
+@register_decomposition(aten.special_ndtr)
+@out_wrapper()
+@elementwise_type_promotion_wrapper(
+    type_promoting_args=("a",),
+    type_promotion_kind=utils.ELEMENTWISE_TYPE_PROMOTION_KIND.INT_TO_FLOAT,
+)
+def ndtr(a: TensorLikeType) -> TensorLikeType:
+    # Note: M_SQRT1_2 is the value of 1 / sqrt(2)
+    M_SQRT1_2 = 0.707106781186547524400844362104849039
+    a_sqrt_2 = a * M_SQRT1_2
+    return (1 + torch.erf(a_sqrt_2)) * 0.5
+
+
+@register_decomposition(aten.special_ndtri)
+@out_wrapper()
+@elementwise_type_promotion_wrapper(
+    type_promoting_args=("a",),
+    type_promotion_kind=utils.ELEMENTWISE_TYPE_PROMOTION_KIND.INT_TO_FLOAT,
+)
+def ndtri(a: TensorLikeType) -> TensorLikeType:
+    return prims.ndtri(a)
+
+
+# Forwarding alias: the special variant doesn't support the out kwarg
+# CompositeImplicitAutograd - don't register decomp
+def log_softmax(
+    a: TensorLikeType,
+    dim: int,
+    dtype: Optional[torch.dtype] = None,
+) -> TensorLikeType:
+    return torch.log_softmax(a=a, dim=dim, dtype=dtype)  # type: ignore[call-overload]
+
+
+# Forwarding alias: the special variant doesn't support the out kwarg
+# CompositeImplicitAutograd - don't register decomp
+def softmax(
+    a: TensorLikeType,
+    dim: int,
+    dtype: Optional[torch.dtype] = None,
+) -> TensorLikeType:
+    return torch.softmax(a=a, dim=dim, dtype=dtype)  # type: ignore[call-overload]
+
+
+@_make_elementwise_unary_reference(
+    ELEMENTWISE_TYPE_PROMOTION_KIND.INT_TO_FLOAT,
+)
+def spherical_bessel_j0(a: TensorLikeType) -> TensorLikeType:
+    return prims.spherical_bessel_j0(a)
+
+
+# TODO: add docstring
+@_make_elementwise_binary_reference(
+    type_promotion_kind=utils.ELEMENTWISE_TYPE_PROMOTION_KIND.INT_TO_FLOAT,
+)
+def zeta(a: TensorLikeType, b: TensorLikeType) -> TensorLikeType:
+    return prims.zeta(a, b)

parrot/lib/python3.10/site-packages/torch/_vmap_internals.py

@@ -0,0 +1,238 @@
+# mypy: allow-untyped-defs
+import functools
+from typing import Any, Callable, List, Optional, Tuple, Union
+from typing_extensions import deprecated
+
+import torch
+from torch import Tensor
+from torch.utils._pytree import _broadcast_to_and_flatten, tree_flatten, tree_unflatten
+
+in_dims_t = Union[int, Tuple]
+out_dims_t = Union[int, Tuple[int, ...]]
+
+
+# Checks that all args-to-be-batched have the same batch dim size
+def _validate_and_get_batch_size(
+    flat_in_dims: List[Optional[int]], flat_args: List
+) -> int:
+    batch_sizes = [
+        arg.size(in_dim)
+        for in_dim, arg in zip(flat_in_dims, flat_args)
+        if in_dim is not None
+    ]
+    if batch_sizes and any(size != batch_sizes[0] for size in batch_sizes):
+        raise ValueError(
+            f"vmap: Expected all tensors to have the same size in the mapped "
+            f"dimension, got sizes {batch_sizes} for the mapped dimension"
+        )
+    return batch_sizes[0]
+
+
+def _num_outputs(batched_outputs: Union[Tensor, Tuple[Tensor, ...]]) -> int:
+    if isinstance(batched_outputs, tuple):
+        return len(batched_outputs)
+    return 1
+
+
+# If value is a tuple, check it has length `num_elements`.
+# If value is not a tuple, make a tuple with `value` repeated `num_elements` times
+def _as_tuple(
+    value: Any, num_elements: int, error_message_lambda: Callable[[], str]
+) -> Tuple:
+    if not isinstance(value, tuple):
+        return (value,) * num_elements
+    if len(value) != num_elements:
+        raise ValueError(error_message_lambda())
+    return value
+
+
+# Creates BatchedTensors for every Tensor in arg that should be batched.
+# Returns the (potentially) batched arguments and the batch_size.
+def _create_batched_inputs(
+    in_dims: in_dims_t, args: Tuple, vmap_level: int, func: Callable
+) -> Tuple[Tuple, int]:
+    if not isinstance(in_dims, int) and not isinstance(in_dims, tuple):
+        raise ValueError(
+            f"vmap({_get_name(func)}, in_dims={in_dims}, ...)(<inputs>): "
+            f"expected `in_dims` to be int or a (potentially nested) tuple "
+            f"matching the structure of inputs, got: {type(in_dims)}."
+        )
+    if len(args) == 0:
+        raise ValueError(
+            f"vmap({_get_name(func)})(<inputs>): got no inputs. Maybe you forgot to add "
+            f"inputs, or you are trying to vmap over a function with no inputs. "
+            f"The latter is unsupported."
+        )
+
+    flat_args, args_spec = tree_flatten(args)
+    flat_in_dims = _broadcast_to_and_flatten(in_dims, args_spec)
+    if flat_in_dims is None:
+        raise ValueError(
+            f"vmap({_get_name(func)}, in_dims={in_dims}, ...)(<inputs>): "
+            f"in_dims is not compatible with the structure of `inputs`. "
+            f"in_dims has structure {tree_flatten(in_dims)[1]} but inputs "
+            f"has structure {args_spec}."
+        )
+
+    for arg, in_dim in zip(flat_args, flat_in_dims):
+        if not isinstance(in_dim, int) and in_dim is not None:
+            raise ValueError(
+                f"vmap({_get_name(func)}, in_dims={in_dims}, ...)(<inputs>): "
+                f"Got in_dim={in_dim} for an input but in_dim must be either "
+                f"an integer dimension or None."
+            )
+        if isinstance(in_dim, int) and not isinstance(arg, Tensor):
+            raise ValueError(
+                f"vmap({_get_name(func)}, in_dims={in_dims}, ...)(<inputs>): "
+                f"Got in_dim={in_dim} for an input but the input is of type "
+                f"{type(arg)}. We cannot vmap over non-Tensor arguments, "
+                f"please use None as the respective in_dim"
+            )
+        if in_dim is not None and (in_dim < 0 or in_dim >= arg.dim()):
+            raise ValueError(
+                f"vmap({_get_name(func)}, in_dims={in_dims}, ...)(<inputs>): "
+                f"Got in_dim={in_dim} for some input, but that input is a Tensor "
+                f"of dimensionality {arg.dim()} so expected in_dim to satisfy "
+                f"0 <= in_dim < {arg.dim()}."
+            )
+
+    batch_size = _validate_and_get_batch_size(flat_in_dims, flat_args)
+    # See NOTE [Ignored _remove_batch_dim, _add_batch_dim]
+    batched_inputs = [
+        arg if in_dim is None else torch._add_batch_dim(arg, in_dim, vmap_level)
+        for in_dim, arg in zip(flat_in_dims, flat_args)
+    ]
+    return tree_unflatten(batched_inputs, args_spec), batch_size
+
+
+# Undos the batching (and any batch dimensions) associated with the `vmap_level`.
+def _unwrap_batched(
+    batched_outputs: Union[Tensor, Tuple[Tensor, ...]],
+    out_dims: out_dims_t,
+    vmap_level: int,
+    batch_size: int,
+    func: Callable,
+    allow_none_pass_through: bool = False,
+) -> Tuple:
+    num_outputs = _num_outputs(batched_outputs)
+    out_dims_as_tuple = _as_tuple(
+        out_dims,
+        num_outputs,
+        lambda: f"vmap({_get_name(func)}, ..., out_dims={out_dims}): `out_dims` must "
+        f"have one dim per output (got {num_outputs} outputs) of {_get_name(func)}.",
+    )
+
+    # NOTE [Ignored _remove_batch_dim, _add_batch_dim]
+    # There is something wrong with our type bindings for functions that begin
+    # with '_', see #40397.
+    if isinstance(batched_outputs, Tensor):
+        out_dim = out_dims_as_tuple[0]
+        return torch._remove_batch_dim(batched_outputs, vmap_level, batch_size, out_dim)  # type: ignore[return-value]
+    if allow_none_pass_through:
+        return tuple(
+            (
+                torch._remove_batch_dim(out, vmap_level, batch_size, out_dim)
+                if out is not None
+                else None
+            )
+            for out, out_dim in zip(batched_outputs, out_dims_as_tuple)
+        )
+    else:
+        return tuple(
+            torch._remove_batch_dim(out, vmap_level, batch_size, out_dim)
+            for out, out_dim in zip(batched_outputs, out_dims_as_tuple)
+        )
+
+
+# Checks that `fn` returned one or more Tensors and nothing else.
+# NB: A python function that return multiple arguments returns a single tuple,
+# so we are effectively checking that `outputs` is a single Tensor or a tuple of
+# Tensors.
+def _validate_outputs(outputs: Any, func: Callable) -> None:
+    if isinstance(outputs, Tensor):
+        return
+    if not isinstance(outputs, tuple):
+        raise ValueError(
+            f"vmap({_get_name(func)}, ...): `{_get_name(func)}` must only return "
+            f"Tensors, got type {type(outputs)} as the return."
+        )
+    for idx, output in enumerate(outputs):
+        if isinstance(output, Tensor):
+            continue
+        raise ValueError(
+            f"vmap({_get_name(func)}, ...): `{_get_name(func)}` must only return "
+            f"Tensors, got type {type(output)} for return {idx}."
+        )
+
+
+def _check_out_dims_is_int_or_int_tuple(out_dims: out_dims_t, func: Callable) -> None:
+    if isinstance(out_dims, int):
+        return
+    if not isinstance(out_dims, tuple) or not all(
+        isinstance(out_dim, int) for out_dim in out_dims
+    ):
+        raise ValueError(
+            f"vmap({_get_name(func)}, ..., out_dims={out_dims}): `out_dims` must be "
+            f"an int or a tuple of int representing where in the outputs the "
+            f"vmapped dimension should appear."
+        )
+
+
+def _get_name(func: Callable):
+    if hasattr(func, "__name__"):
+        return func.__name__
+
+    # Not all callables have __name__, in fact, only static functions/methods do.
+    # A callable created via functools.partial or an nn.Module, to name some
+    # examples, don't have a __name__.
+    return repr(func)
+
+
+# vmap(func)(inputs) wraps all Tensor inputs to be batched in BatchedTensors,
+# sends those into func, and then unwraps the output BatchedTensors. Operations
+# on BatchedTensors perform the batched operations that the user is asking for.
+@deprecated(
+    "Please use `torch.vmap` instead of `torch._vmap_internals.vmap`.",
+    category=FutureWarning,
+)
+def vmap(func: Callable, in_dims: in_dims_t = 0, out_dims: out_dims_t = 0) -> Callable:
+    """
+    Please use torch.vmap instead of this API.
+    """
+    return _vmap(func, in_dims, out_dims)
+
+
+# A version of vmap but without the initial "experimental prototype" warning
+def _vmap(
+    func: Callable,
+    in_dims: in_dims_t = 0,
+    out_dims: out_dims_t = 0,
+    allow_none_pass_through: bool = False,
+) -> Callable:
+    # The `allow_none_pass_through` argument is a temporary workaround may be removed.
+    # Currently it enables us to wrap the call in `autograd.grad` to the autograd engine,
+    # which may return None if any of the inputs are unused. See the issue discussing this:
+    # https://github.com/facebookresearch/functorch/issues/159.
+    @functools.wraps(func)
+    def wrapped(*args):
+        _check_out_dims_is_int_or_int_tuple(out_dims, func)
+        vmap_level = torch._C._vmapmode_increment_nesting()
+        try:
+            batched_inputs, batch_size = _create_batched_inputs(
+                in_dims, args, vmap_level, func
+            )
+            batched_outputs = func(*batched_inputs)
+            if not allow_none_pass_through:
+                _validate_outputs(batched_outputs, func)
+            return _unwrap_batched(
+                batched_outputs,
+                out_dims,
+                vmap_level,
+                batch_size,
+                func,
+                allow_none_pass_through=allow_none_pass_through,
+            )
+        finally:
+            torch._C._vmapmode_decrement_nesting()
+
+    return wrapped

parrot/lib/python3.10/site-packages/torch/autograd/__init__.py

@@ -0,0 +1,539 @@
+# mypy: allow-untyped-defs
+"""
+``torch.autograd`` provides classes and functions implementing automatic
+differentiation of arbitrary scalar valued functions. It requires minimal
+changes to the existing code - you only need to declare :class:`Tensor` s
+for which gradients should be computed with the ``requires_grad=True`` keyword.
+As of now, we only support autograd for floating point :class:`Tensor` types (
+half, float, double and bfloat16) and complex :class:`Tensor` types (cfloat, cdouble).
+"""
+import warnings
+from typing import Any, Callable, cast, List, Optional, Sequence, Tuple, Union
+
+import torch
+
+from torch.types import _size, _TensorOrTensors, _TensorOrTensorsOrGradEdge
+from .. import _vmap_internals
+from ..overrides import handle_torch_function, has_torch_function, is_tensor_like
+from . import forward_ad, functional, graph
+from .anomaly_mode import detect_anomaly, set_detect_anomaly
+from .function import Function, NestedIOFunction
+from .grad_mode import (
+    _force_original_view_tracking,
+    _unsafe_preserve_version_counter,
+    enable_grad,
+    inference_mode,
+    no_grad,
+    set_grad_enabled,
+    set_multithreading_enabled,
+)
+from .gradcheck import gradcheck, gradgradcheck
+from .graph import _engine_run_backward
+
+from .variable import Variable
+
+__all__ = [
+    "Variable",
+    "Function",
+    "backward",
+    "grad_mode",
+    "NestedIOFunction",
+    "detect_anomaly",
+    "enable_grad",
+    "grad",
+    "gradcheck",
+    "gradgradcheck",
+    "inference_mode",
+    "no_grad",
+    "set_detect_anomaly",
+    "set_grad_enabled",
+    "set_multithreading_enabled",
+    "variable",
+]
+
+_OptionalTensor = Optional[torch.Tensor]
+_ShapeorNestedShape = Union[_size, Sequence[_size], torch.Tensor]
+
+
+def _calculate_shape(
+    output: torch.Tensor, grad: torch.Tensor, is_grads_batched: bool
+) -> Tuple[_ShapeorNestedShape, _ShapeorNestedShape]:
+    # is_same_size ensures that both tensors are either nested or non nested
+    # circular import
+    from torch.nested._internal.nested_tensor import NestedTensor
+
+    if output.is_nested and not isinstance(output, NestedTensor):
+        if is_grads_batched:
+            raise RuntimeError("Batched grads are not supported with Nested Tensor.")
+        out_shape = output._nested_tensor_size()
+        grad_shape = grad._nested_tensor_size()
+
+        return out_shape, grad_shape
+
+    reg_out_shape = output.shape
+    reg_grad_shape = grad.shape if not is_grads_batched else grad.shape[1:]
+    return reg_out_shape, reg_grad_shape
+
+
+def _make_grads(
+    outputs: Sequence[torch.Tensor],
+    grads: Sequence[_OptionalTensor],
+    is_grads_batched: bool,
+) -> Tuple[_OptionalTensor, ...]:
+    new_grads: List[_OptionalTensor] = []
+    for out, grad in zip(outputs, grads):
+        if isinstance(grad, torch.Tensor):
+            from torch.fx.experimental.symbolic_shapes import expect_true, sym_eq
+
+            first_grad = grad if not is_grads_batched else grad[0]
+            # TODO: We can remove this conditional once we uniformly use
+            # singleton int to represent jagged dimension, so that size() call
+            # on nested tensor works
+            if out.is_nested or first_grad.is_nested:
+                shape_matches = torch.is_same_size(out, first_grad)
+            else:
+                # We need to do a regular size check, without going through
+                # the operator, to be able to handle unbacked symints
+                # (expect_true ensures we can deal with unbacked)
+                shape_matches = expect_true(sym_eq(out.size(), first_grad.size()))
+            if not shape_matches:
+                out_shape, grad_shape = _calculate_shape(
+                    out, first_grad, is_grads_batched
+                )
+                if is_grads_batched:
+                    raise RuntimeError(
+                        "If `is_grads_batched=True`, we interpret the first "
+                        "dimension of each grad_output as the batch dimension. "
+                        "The sizes of the remaining dimensions are expected to match "
+                        "the shape of corresponding output, but a mismatch "
+                        "was detected: grad_output["
+                        + str(grads.index(grad))
+                        + "] has a shape of "
+                        + str(grad_shape)
+                        + " and output["
+                        + str(outputs.index(out))
+                        + "] has a shape of "
+                        + str(out_shape)
+                        + ". "
+                        "If you only want some tensors in `grad_output` to be considered "
+                        "batched, consider using vmap."
+                    )
+                else:
+                    raise RuntimeError(
+                        "Mismatch in shape: grad_output["
+                        + str(grads.index(grad))
+                        + "] has a shape of "
+                        + str(grad_shape)
+                        + " and output["
+                        + str(outputs.index(out))
+                        + "] has a shape of "
+                        + str(out_shape)
+                        + "."
+                    )
+            if out.dtype.is_complex != grad.dtype.is_complex:
+                raise RuntimeError(
+                    "For complex Tensors, both grad_output and output"
+                    " are required to have the same dtype."
+                    " Mismatch in dtype: grad_output["
+                    + str(grads.index(grad))
+                    + "] has a dtype of "
+                    + str(grad.dtype)
+                    + " and output["
+                    + str(outputs.index(out))
+                    + "] has a dtype of "
+                    + str(out.dtype)
+                    + "."
+                )
+            new_grads.append(grad)
+        elif grad is None:
+            if out.requires_grad:
+                if out.numel() != 1:
+                    raise RuntimeError(
+                        "grad can be implicitly created only for scalar outputs"
+                    )
+                if not out.dtype.is_floating_point:
+                    msg = (
+                        "grad can be implicitly created only for real scalar outputs"
+                        f" but got {out.dtype}"
+                    )
+                    raise RuntimeError(msg)
+                new_grads.append(
+                    torch.ones_like(out, memory_format=torch.preserve_format)
+                )
+            else:
+                new_grads.append(None)
+        else:
+            raise TypeError(
+                "gradients can be either Tensors or None, but got "
+                + type(grad).__name__
+            )
+    return tuple(new_grads)
+
+
+def _tensor_or_tensors_to_tuple(
+    tensors: Optional[_TensorOrTensors], length: int
+) -> Tuple[_OptionalTensor, ...]:
+    if tensors is None:
+        return (None,) * length
+    if isinstance(tensors, torch.Tensor):
+        return (tensors,)
+    return tuple(tensors)
+
+
+def backward(
+    tensors: _TensorOrTensors,
+    grad_tensors: Optional[_TensorOrTensors] = None,
+    retain_graph: Optional[bool] = None,
+    create_graph: bool = False,
+    grad_variables: Optional[_TensorOrTensors] = None,
+    inputs: Optional[_TensorOrTensorsOrGradEdge] = None,
+) -> None:
+    r"""Computes the sum of gradients of given tensors with respect to graph
+    leaves.
+
+    The graph is differentiated using the chain rule. If any of ``tensors``
+    are non-scalar (i.e. their data has more than one element) and require
+    gradient, then the Jacobian-vector product would be computed, in this
+    case the function additionally requires specifying ``grad_tensors``.
+    It should be a sequence of matching length, that contains the "vector"
+    in the Jacobian-vector product, usually the gradient of the differentiated
+    function w.r.t. corresponding tensors (``None`` is an acceptable value for
+    all tensors that don't need gradient tensors).
+
+    This function accumulates gradients in the leaves - you might need to zero
+    ``.grad`` attributes or set them to ``None`` before calling it.
+    See :ref:`Default gradient layouts<default-grad-layouts>`
+    for details on the memory layout of accumulated gradients.
+
+    .. note::
+        Using this method with ``create_graph=True`` will create a reference cycle
+        between the parameter and its gradient which can cause a memory leak.
+        We recommend using ``autograd.grad`` when creating the graph to avoid this.
+        If you have to use this function, make sure to reset the ``.grad`` fields of your
+        parameters to ``None`` after use to break the cycle and avoid the leak.
+
+    .. note::
+
+        If you run any forward ops, create ``grad_tensors``, and/or call ``backward``
+        in a user-specified CUDA stream context, see
+        :ref:`Stream semantics of backward passes<bwd-cuda-stream-semantics>`.
+
+    .. note::
+
+        When ``inputs`` are provided and a given input is not a leaf,
+        the current implementation will call its grad_fn (even though it is not strictly needed to get this gradients).
+        It is an implementation detail on which the user should not rely.
+        See https://github.com/pytorch/pytorch/pull/60521#issuecomment-867061780 for more details.
+
+    Args:
+        tensors (Sequence[Tensor] or Tensor): Tensors of which the derivative will be
+            computed.
+        grad_tensors (Sequence[Tensor or None] or Tensor, optional): The "vector" in
+            the Jacobian-vector product, usually gradients w.r.t. each element of
+            corresponding tensors. None values can be specified for scalar Tensors or
+            ones that don't require grad. If a None value would be acceptable for all
+            grad_tensors, then this argument is optional.
+        retain_graph (bool, optional): If ``False``, the graph used to compute the grad
+            will be freed. Note that in nearly all cases setting this option to ``True``
+            is not needed and often can be worked around in a much more efficient
+            way. Defaults to the value of ``create_graph``.
+        create_graph (bool, optional): If ``True``, graph of the derivative will
+            be constructed, allowing to compute higher order derivative products.
+            Defaults to ``False``.
+        inputs (Sequence[Tensor] or Tensor or Sequence[GradientEdge], optional): Inputs w.r.t. which the gradient
+            be will accumulated into ``.grad``. All other Tensors will be ignored. If
+            not provided, the gradient is accumulated into all the leaf Tensors that
+            were used to compute the :attr:`tensors`.
+    """
+    if torch._C._are_functorch_transforms_active():
+        raise RuntimeError(
+            "backward() called inside a functorch transform. This is not "
+            "supported, please use functorch.grad or functorch.vjp instead "
+            "or call backward() outside of functorch transforms."
+        )
+
+    if grad_variables is not None:
+        warnings.warn(
+            "`grad_variables` is deprecated. Use `grad_tensors` instead.",
+            FutureWarning,
+            stacklevel=2,
+        )
+        if grad_tensors is None:
+            grad_tensors = grad_variables
+        else:
+            raise RuntimeError(
+                "`grad_tensors` and `grad_variables` (deprecated) "
+                "arguments both passed to `backward()`. Please only "
+                "use `grad_tensors`."
+            )
+    if inputs is not None and len(inputs) == 0:
+        raise RuntimeError("`inputs` argument to `backward()` cannot be empty.")
+
+    tensors = (tensors,) if isinstance(tensors, torch.Tensor) else tuple(tensors)
+    inputs = (
+        (inputs,)
+        if isinstance(inputs, (torch.Tensor, graph.GradientEdge))
+        else tuple(inputs)
+        if inputs is not None
+        else tuple()
+    )
+
+    grad_tensors_ = _tensor_or_tensors_to_tuple(grad_tensors, len(tensors))
+    grad_tensors_ = _make_grads(tensors, grad_tensors_, is_grads_batched=False)
+    if retain_graph is None:
+        retain_graph = create_graph
+
+    # The reason we repeat the same comment below is that
+    # some Python versions print out the first line of a multi-line function
+    # calls in the traceback and some print out the last line
+    _engine_run_backward(
+        tensors,
+        grad_tensors_,
+        retain_graph,
+        create_graph,
+        inputs,
+        allow_unreachable=True,
+        accumulate_grad=True,
+    )
+
+
+def grad(
+    outputs: _TensorOrTensors,
+    inputs: _TensorOrTensorsOrGradEdge,
+    grad_outputs: Optional[_TensorOrTensors] = None,
+    retain_graph: Optional[bool] = None,
+    create_graph: bool = False,
+    only_inputs: bool = True,
+    allow_unused: Optional[bool] = None,
+    is_grads_batched: bool = False,
+    materialize_grads: bool = False,
+) -> Tuple[torch.Tensor, ...]:
+    r"""Computes and returns the sum of gradients of outputs with respect to
+    the inputs.
+
+    ``grad_outputs`` should be a sequence of length matching ``output``
+    containing the "vector" in vector-Jacobian product, usually the pre-computed
+    gradients w.r.t. each of the outputs. If an output doesn't require_grad,
+    then the gradient can be ``None``).
+
+    .. note::
+
+        If you run any forward ops, create ``grad_outputs``, and/or call ``grad``
+        in a user-specified CUDA stream context, see
+        :ref:`Stream semantics of backward passes<bwd-cuda-stream-semantics>`.
+
+    .. note::
+
+        ``only_inputs`` argument is deprecated and is ignored now (defaults to ``True``).
+        To accumulate gradient for other parts of the graph, please use
+        ``torch.autograd.backward``.
+
+    Args:
+        outputs (sequence of Tensor): outputs of the differentiated function.
+        inputs (sequence of Tensor or GradientEdge): Inputs w.r.t. which the gradient will be
+            returned (and not accumulated into ``.grad``).
+        grad_outputs (sequence of Tensor): The "vector" in the vector-Jacobian product.
+            Usually gradients w.r.t. each output. None values can be specified for scalar
+            Tensors or ones that don't require grad. If a None value would be acceptable
+            for all grad_tensors, then this argument is optional. Default: None.
+        retain_graph (bool, optional): If ``False``, the graph used to compute the grad
+            will be freed. Note that in nearly all cases setting this option to ``True``
+            is not needed and often can be worked around in a much more efficient
+            way. Defaults to the value of ``create_graph``.
+        create_graph (bool, optional): If ``True``, graph of the derivative will
+            be constructed, allowing to compute higher order derivative products.
+            Default: ``False``.
+        allow_unused (Optional[bool], optional): If ``False``, specifying inputs
+            that were not used when computing outputs (and therefore their grad is
+            always zero) is an error. Defaults to the value of ``materialize_grads``.
+        is_grads_batched (bool, optional): If ``True``, the first dimension of each
+            tensor in ``grad_outputs`` will be interpreted as the batch dimension.
+            Instead of computing a single vector-Jacobian product, we compute a
+            batch of vector-Jacobian products for each "vector" in the batch.
+            We use the vmap prototype feature as the backend to vectorize calls
+            to the autograd engine so that this computation can be performed in a
+            single call. This should lead to performance improvements when compared
+            to manually looping and performing backward multiple times. Note that
+            due to this feature being experimental, there may be performance
+            cliffs. Please use ``torch._C._debug_only_display_vmap_fallback_warnings(True)``
+            to show any performance warnings and file an issue on github if warnings exist
+            for your use case. Defaults to ``False``.
+        materialize_grads (bool, optional): If ``True``, set the gradient for unused inputs
+            to zero instead of None. This is useful when computing higher-order derivatives.
+            If ``materialize_grads`` is ``True`` and ``allow_unused`` is ``False``, an error
+            will be raised. Defaults to ``False``.
+
+    """
+    if materialize_grads and allow_unused is False:
+        raise ValueError(
+            "Expected allow_unused to be True or not passed when materialize_grads=True, "
+            "but got: allow_unused=False."
+        )
+    if allow_unused is None:
+        allow_unused = materialize_grads
+    t_outputs = cast(
+        Tuple[torch.Tensor, ...],
+        (outputs,) if is_tensor_like(outputs) else tuple(outputs),
+    )
+    if is_tensor_like(inputs) or isinstance(inputs, graph.GradientEdge):
+        inputs = cast(_TensorOrTensorsOrGradEdge, (inputs,))
+    else:
+        inputs = tuple(inputs)
+    t_inputs = tuple(i for i in inputs if is_tensor_like(i))
+    overridable_args = t_outputs + t_inputs
+    if has_torch_function(overridable_args):
+        return handle_torch_function(
+            grad,
+            overridable_args,
+            t_outputs,
+            inputs,
+            grad_outputs=grad_outputs,
+            retain_graph=retain_graph,
+            create_graph=create_graph,
+            only_inputs=only_inputs,
+            allow_unused=allow_unused,
+            is_grads_batched=is_grads_batched,
+            materialize_grads=materialize_grads,
+        )
+
+    if not only_inputs:
+        warnings.warn(
+            "only_inputs argument is deprecated and is ignored now "
+            "(defaults to True). To accumulate gradient for other "
+            "parts of the graph, please use torch.autograd.backward.",
+            FutureWarning,
+            stacklevel=2,
+        )
+
+    grad_outputs_ = _tensor_or_tensors_to_tuple(grad_outputs, len(t_outputs))
+    grad_outputs_ = _make_grads(
+        t_outputs, grad_outputs_, is_grads_batched=is_grads_batched
+    )
+
+    if retain_graph is None:
+        retain_graph = create_graph
+
+    # The reason we repeat the same comment several times below is because
+    # some Python versions print out the first line of multi-line function
+    # calls in the traceback and some print out the last line
+    if is_grads_batched:
+
+        def vjp(gO):
+            return _engine_run_backward(
+                t_outputs,
+                gO,
+                retain_graph,
+                create_graph,
+                inputs,
+                allow_unused,
+                accumulate_grad=False,
+            )
+
+        result = _vmap_internals._vmap(vjp, 0, 0, allow_none_pass_through=True)(
+            grad_outputs_
+        )
+    else:
+        result = _engine_run_backward(
+            t_outputs,
+            grad_outputs_,
+            retain_graph,
+            create_graph,
+            inputs,
+            allow_unused,
+            accumulate_grad=False,
+        )
+    if materialize_grads:
+        if any(
+            result[i] is None and not is_tensor_like(inputs[i])
+            for i in range(len(inputs))
+        ):
+            raise RuntimeError(
+                "materialize_grads cannot be used when the given input is a GradientEdge"
+            )
+        result = tuple(
+            output
+            if output is not None
+            else torch.zeros_like(input, requires_grad=True)
+            for (output, input) in zip(result, inputs)
+        )
+    return result
+
+
+# This function applies in case of gradient checkpointing for memory
+# optimization. Currently, gradient checkpointing is supported only if the
+# execution engine is invoked through torch.autograd.backward() and its
+# inputs argument is not passed. It is not supported for torch.autograd.grad().
+# This is because if inputs are specified, the gradient won't be calculated for
+# anything else e.g. model parameters like weights, bias etc.
+#
+# This function returns whether the checkpointing is valid i.e. torch.autograd.backward
+# or not i.e. torch.autograd.grad. The implementation works by maintaining a thread
+# local variable in torch/csrc/autograd/engine.cpp which looks at the NodeTask
+# in the stack and before a NodeTask is executed in evaluate_function, it
+# checks for whether reentrant backwards is imperative or not.
+# See https://github.com/pytorch/pytorch/pull/4594 for more discussion/context
+def _is_checkpoint_valid():
+    return Variable._execution_engine.is_checkpoint_valid()
+
+
+def variable(*args, **kwargs):
+    raise RuntimeError(
+        "torch.autograd.variable(...) is deprecated, use torch.tensor(...) instead"
+    )
+
+
+# Monkey patching variable.Variable to fix FX codegen. FX generates a call by roughly doing
+# f"{fn.__module__}.{fn.__name__}(...). This yields torch.autograd.variable.Variable(...) in the
+# output of an FX graph.  Unfortunately the module name torch.autograd.variable is shadowed by the
+# deprecated function - variable(...).
+variable.Variable = Variable  # type: ignore[attr-defined]
+
+if not torch._C._autograd_init():
+    raise RuntimeError("autograd initialization failed")
+
+# Import all native method/classes
+from torch._C._autograd import (
+    _add_metadata_json,
+    _disable_profiler,
+    _disable_profiler_legacy,
+    _enable_profiler,
+    _enable_profiler_legacy,
+    _enable_record_function,
+    _get_sequence_nr,
+    _kineto_step,
+    _KinetoEvent,
+    _pop_saved_tensors_default_hooks,
+    _prepare_profiler,
+    _profiler_enabled,
+    _ProfilerResult,
+    _push_saved_tensors_default_hooks,
+    _record_function_with_args_enter,
+    _record_function_with_args_exit,
+    _set_empty_test_observer,
+    _supported_activities,
+    DeviceType,
+    kineto_available,
+    ProfilerEvent,
+    SavedTensor,
+)
+
+from torch._C._profiler import ProfilerActivity, ProfilerConfig, ProfilerState
+
+from . import profiler
+
+
+def _register_py_tensor_class_for_device(device, cls):
+    if not isinstance(cls, type):
+        raise RuntimeError("cls isn't a typeinfo object")
+    torch._C._register_py_class_for_device(device, cls)
+
+
+is_multithreading_enabled = torch._C._is_multithreading_enabled
+torch._C._add_docstr(
+    is_multithreading_enabled, "Returns True if multithreading is currently enabled."
+)
+
+is_view_replay_enabled = torch._C._is_view_replay_enabled
+torch._C._add_docstr(
+    is_view_replay_enabled, "Returns True if view-replay is currently enabled."
+)

parrot/lib/python3.10/site-packages/torch/autograd/_functions/__init__.py

@@ -0,0 +1 @@
+from .tensor import *  # noqa: F403

parrot/lib/python3.10/site-packages/torch/autograd/_functions/tensor.py

@@ -0,0 +1,65 @@
+# mypy: allow-untyped-defs
+import operator
+from functools import reduce
+from typing_extensions import deprecated
+
+import torch
+import torch._utils
+from ..function import Function
+
+
+class Type(Function):
+    @staticmethod
+    @deprecated(
+        "`torch.autograd._functions.Type` is deprecated as of PyTorch 2.1, "
+        "please use `torch.tensor.to(dtype=dtype)` instead.",
+        category=FutureWarning,
+    )
+    def forward(ctx, i, dest_type):
+        ctx.input_type = type(i)
+        ctx.input_device = -1 if not i.is_cuda else i.get_device()
+        return i.type(dest_type)
+
+    @staticmethod
+    def backward(ctx, grad_output):
+        if ctx.input_device == -1:
+            return grad_output.type(ctx.input_type), None
+        else:
+            with torch.cuda.device(ctx.input_device):
+                return grad_output.type(ctx.input_type), None
+
+
+# TODO: deprecate this
+class Resize(Function):
+    @staticmethod
+    def forward(ctx, tensor, sizes):
+        ctx.sizes = sizes
+        ctx.numel = reduce(operator.mul, sizes, 1)
+        if tensor.numel() != ctx.numel:
+            raise RuntimeError(
+                (
+                    "requested resize to {} ({} elements in total), "
+                    "but the given tensor has a size of {} ({} elements). "
+                    "autograd's resize can only change the shape of a given "
+                    "tensor, while preserving the number of elements. "
+                ).format(
+                    "x".join(map(str, sizes)),
+                    ctx.numel,
+                    "x".join(map(str, tensor.size())),
+                    tensor.numel(),
+                )
+            )
+        ctx.input_sizes = tensor.size()
+        if tensor.is_quantized:
+            tensor.copy_(tensor)
+            return tensor.contiguous().view(*sizes)
+        if tensor.is_contiguous():
+            result = tensor.new(tensor).contiguous().view(*sizes)
+            return result
+        else:
+            return tensor.contiguous().view(*sizes)
+
+    @staticmethod
+    def backward(ctx, grad_output):
+        assert grad_output.numel() == ctx.numel
+        return grad_output.contiguous().view(ctx.input_sizes), None

parrot/lib/python3.10/site-packages/torch/autograd/_functions/utils.py

@@ -0,0 +1,63 @@
+# mypy: allow-untyped-defs
+import operator
+from functools import reduce
+
+
+def maybe_view(tensor, size, check_same_size=True):
+    if check_same_size and tensor.size() == size:
+        return tensor
+    return tensor.contiguous().view(size)
+
+
+def maybe_unexpand(tensor, old_size, check_same_size=True):
+    if check_same_size and tensor.size() == old_size:
+        return tensor
+    num_unsqueezed = tensor.dim() - len(old_size)
+    expanded_dims = [
+        dim
+        for dim, (expanded, original) in enumerate(
+            zip(tensor.size()[num_unsqueezed:], old_size)
+        )
+        if expanded != original
+    ]
+
+    for _ in range(num_unsqueezed):
+        tensor = tensor.sum(0, keepdim=False)
+    for dim in expanded_dims:
+        tensor = tensor.sum(dim, keepdim=True)
+    return tensor
+
+
+# Check whether the op enable broadcasting, and whether it is supported by ONNX.
+# If dims1 and dims2 are different, then broadcast is True.
+# We always assume the combination of dims1 and dims2 is broadcastable.
+# The following types of broadcasting are supported in ONNX:
+#     1) Only one element in dims2, such as dims2 = [1, 1]
+#     2) dims2 is suffix of dims1, such as dims1 = [2, 3, 4], and dims2 = [3, 4]
+# Details can be found here: https://github.com/onnx/onnx/blob/master/docs/Operators.md#Gemm
+def check_onnx_broadcast(dims1, dims2):
+    broadcast = False
+    supported = True
+    len1 = len(dims1)
+    len2 = len(dims2)
+    numel1 = reduce(operator.mul, dims1)
+    numel2 = reduce(operator.mul, dims2)
+    if len1 < len2:
+        broadcast = True
+        if numel2 != 1:
+            supported = False
+    elif len1 > len2:
+        broadcast = True
+        if numel2 != 1 and dims1[len1 - len2 :] != dims2:
+            supported = False
+    else:
+        if dims1 != dims2:
+            broadcast = True
+            if numel2 != 1:
+                supported = False
+
+    if not supported:
+        raise ValueError(
+            f"Numpy style broadcasting is not supported in ONNX. Input dims are: {dims1}, {dims2}"
+        )
+    return broadcast

parrot/lib/python3.10/site-packages/torch/autograd/anomaly_mode.py

@@ -0,0 +1,120 @@
+# mypy: allow-untyped-defs
+import warnings
+
+import torch
+
+__all__ = ["detect_anomaly", "set_detect_anomaly"]
+
+
+class detect_anomaly:
+    r"""Context-manager that enable anomaly detection for the autograd engine.
+
+    This does two things:
+
+    - Running the forward pass with detection enabled will allow the backward
+      pass to print the traceback of the forward operation that created the failing
+      backward function.
+    - If ``check_nan`` is ``True``, any backward computation that generate "nan"
+      value will raise an error. Default ``True``.
+
+    .. warning::
+        This mode should be enabled only for debugging as the different tests
+        will slow down your program execution.
+
+    Example:
+
+        >>> # xdoctest: +REQUIRES(env:TORCH_DOCTEST_ANOMALY)
+        >>> import torch
+        >>> from torch import autograd
+        >>> class MyFunc(autograd.Function):
+        ...     @staticmethod
+        ...     def forward(ctx, inp):
+        ...         return inp.clone()
+        ...     @staticmethod
+        ...     def backward(ctx, gO):
+        ...         # Error during the backward pass
+        ...         raise RuntimeError("Some error in backward")
+        ...         return gO.clone()
+        >>> def run_fn(a):
+        ...     out = MyFunc.apply(a)
+        ...     return out.sum()
+        >>> inp = torch.rand(10, 10, requires_grad=True)
+        >>> out = run_fn(inp)
+        >>> out.backward()
+            Traceback (most recent call last):
+              File "<stdin>", line 1, in <module>
+              File "/your/pytorch/install/torch/_tensor.py", line 93, in backward
+                torch.autograd.backward(self, gradient, retain_graph, create_graph)
+              File "/your/pytorch/install/torch/autograd/__init__.py", line 90, in backward
+                allow_unreachable=True)  # allow_unreachable flag
+              File "/your/pytorch/install/torch/autograd/function.py", line 76, in apply
+                return self._forward_cls.backward(self, *args)
+              File "<stdin>", line 8, in backward
+            RuntimeError: Some error in backward
+        >>> with autograd.detect_anomaly():
+        ...     inp = torch.rand(10, 10, requires_grad=True)
+        ...     out = run_fn(inp)
+        ...     out.backward()
+            Traceback of forward call that caused the error:
+              File "tmp.py", line 53, in <module>
+                out = run_fn(inp)
+              File "tmp.py", line 44, in run_fn
+                out = MyFunc.apply(a)
+            Traceback (most recent call last):
+              File "<stdin>", line 4, in <module>
+              File "/your/pytorch/install/torch/_tensor.py", line 93, in backward
+                torch.autograd.backward(self, gradient, retain_graph, create_graph)
+              File "/your/pytorch/install/torch/autograd/__init__.py", line 90, in backward
+                allow_unreachable=True)  # allow_unreachable flag
+              File "/your/pytorch/install/torch/autograd/function.py", line 76, in apply
+                return self._forward_cls.backward(self, *args)
+              File "<stdin>", line 8, in backward
+            RuntimeError: Some error in backward
+
+    """
+
+    def __init__(self, check_nan=True) -> None:
+        self.prev = torch.is_anomaly_enabled()
+        self.check_nan = check_nan
+        self.prev_check_nan = torch.is_anomaly_check_nan_enabled()
+        warnings.warn(
+            "Anomaly Detection has been enabled. "
+            "This mode will increase the runtime "
+            "and should only be enabled for debugging.",
+            stacklevel=2,
+        )
+
+    def __enter__(self) -> None:
+        torch.set_anomaly_enabled(True, self.check_nan)
+
+    def __exit__(self, *args: object) -> None:
+        torch.set_anomaly_enabled(self.prev, self.prev_check_nan)
+
+
+class set_detect_anomaly:
+    r"""Context-manager that sets the anomaly detection for the autograd engine on or off.
+
+    ``set_detect_anomaly`` will enable or disable the autograd anomaly detection
+    based on its argument :attr:`mode`.
+    It can be used as a context-manager or as a function.
+
+    See ``detect_anomaly`` above for details of the anomaly detection behaviour.
+
+    Args:
+        mode (bool): Flag whether to enable anomaly detection (``True``),
+                     or disable (``False``).
+        check_nan (bool): Flag whether to raise an error when the backward
+                          generate "nan"
+
+    """
+
+    def __init__(self, mode: bool, check_nan: bool = True) -> None:
+        self.prev = torch.is_anomaly_enabled()
+        self.prev_check_nan = torch.is_anomaly_check_nan_enabled()
+        torch.set_anomaly_enabled(mode, check_nan)
+
+    def __enter__(self) -> None:
+        pass
+
+    def __exit__(self, *args: object) -> None:
+        torch.set_anomaly_enabled(self.prev, self.prev_check_nan)

parrot/lib/python3.10/site-packages/torch/autograd/forward_ad.py

@@ -0,0 +1,232 @@
+# mypy: allow-untyped-defs
+import os
+from collections import namedtuple
+
+from typing import Any
+
+import torch
+from .grad_mode import _DecoratorContextManager
+
+__all__ = [
+    "UnpackedDualTensor",
+    "enter_dual_level",
+    "exit_dual_level",
+    "make_dual",
+    "unpack_dual",
+    "dual_level",
+]
+
+# Global variable used to make the python API simpler to use
+_current_level = -1
+
+
+def enter_dual_level():
+    r"""Enter a new forward grad level.
+
+    This level can be used to make and unpack dual Tensors to compute
+    forward gradients.
+
+    This function also updates the current level that is used by default
+    by the other functions in this API.
+    """
+    global _current_level
+    new_level = torch._C._enter_dual_level()
+    if new_level != _current_level + 1:
+        raise RuntimeError(
+            "Entering a new forward AD level but the current level "
+            "is not valid. Make sure you did not modified it directly."
+        )
+    _current_level = new_level
+    return new_level
+
+
+def exit_dual_level(*, level=None):
+    r"""Exit a forward grad level.
+
+    This function deletes all the gradients associated with this
+    level. Only deleting the latest entered level is allowed.
+
+    This function also updates the current level that is used by default
+    by the other functions in this API.
+    """
+    global _current_level
+    if level is None:
+        level = _current_level
+    if level != _current_level:
+        raise RuntimeError(
+            "Trying to exit a forward AD level that was not the last one "
+            "that was created. This is not supported."
+        )
+    torch._C._exit_dual_level(level=level)
+    _current_level = level - 1
+
+
+def _maybe_load_decompositions():
+    if os.environ.get("PYTORCH_JIT", "1") == "1" and __debug__:
+        from torch._decomp import decompositions_for_jvp  # noqa: F401
+
+
+def make_dual(tensor, tangent, *, level=None):
+    r"""Associate a tensor value with its tangent to create a "dual tensor" for forward AD gradient computation.
+
+    The result is a new tensor aliased to :attr:`tensor` with :attr:`tangent` embedded
+    as an attribute as-is if it has the same storage layout or copied otherwise.
+    The tangent attribute can be recovered with :func:`unpack_dual`.
+
+    This function is backward differentiable.
+
+    Given a function `f` whose jacobian is `J`, it allows one to compute the Jacobian-vector product (`jvp`)
+    between `J` and a given vector `v` as follows.
+
+    Example::
+
+        >>> # xdoctest: +SKIP("Undefined variables")
+        >>> with dual_level():
+        ...     inp = make_dual(x, v)
+        ...     out = f(inp)
+        ...     y, jvp = unpack_dual(out)
+
+    Please see the `forward-mode AD tutorial <https://pytorch.org/tutorials/intermediate/forward_ad_usage.html>`__
+    for detailed steps on how to use this API.
+
+    """
+    # See NOTE: [forward-mode AD decompositions mechanism]
+    #
+    # Import from torch._decomp import decompositions_for_jvp to register
+    # decompositions for jvp to the jit registry
+    #
+    # FIXME: We specify that __debug__ must be True because
+    # if python is run with -OO or -O flags (i.e., __debug__ is False), we encounter the
+    # following error:
+    #
+    # Return value was annotated as having type Tuple[NoneType, NoneType] but is actually of
+    # type Tuple[Tensor, Tensor]:
+    #   File ".../torch/_decomp/__init__.py", line 1585
+    #     else:
+    #         buffer = z
+    #     return min - torch.log1p(z), buffer
+    #     ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ <--- HERE
+    _maybe_load_decompositions()
+
+    if level is None:
+        level = _current_level
+
+    if level < 0:
+        raise RuntimeError(
+            "Trying to create a dual Tensor for forward AD but no level "
+            "exists, make sure to enter_dual_level() first."
+        )
+    if not (tensor.is_floating_point() or tensor.is_complex()):
+        raise ValueError(
+            f"Expected primal to be floating point or complex, but got: {tensor.dtype}"
+        )
+    if not (tangent.is_floating_point() or tangent.is_complex()):
+        raise ValueError(
+            f"Expected tangent to be floating point or complex, but got: {tangent.dtype}"
+        )
+
+    return torch._VF._make_dual(tensor, tangent, level=level)
+
+
+_UnpackedDualTensor = namedtuple("_UnpackedDualTensor", ["primal", "tangent"])
+
+
+class UnpackedDualTensor(_UnpackedDualTensor):
+    r"""Namedtuple returned by :func:`unpack_dual` containing the primal and tangent components of the dual tensor.
+
+    See :func:`unpack_dual` for more details.
+
+    """
+
+    pass
+
+
+def unpack_dual(tensor, *, level=None):
+    r"""Unpack a "dual tensor" to get both its Tensor value and its forward AD gradient.
+
+    The result is a namedtuple ``(primal, tangent)`` where ``primal`` is a view of
+    :attr:`tensor`'s primal and ``tangent`` is :attr:`tensor`'s tangent as-is.
+    Neither of these tensors can be dual tensor of level :attr:`level`.
+
+    This function is backward differentiable.
+
+    Example::
+
+        >>> # xdoctest: +SKIP("Undefined variables")
+        >>> with dual_level():
+        ...     inp = make_dual(x, x_t)
+        ...     out = f(inp)
+        ...     y, jvp = unpack_dual(out)
+        ...     jvp = unpack_dual(out).tangent
+
+    Please see the `forward-mode AD tutorial <https://pytorch.org/tutorials/intermediate/forward_ad_usage.html>`__
+    for detailed steps on how to use this API.
+    """
+    if level is None:
+        level = _current_level
+
+    if level < 0:
+        return UnpackedDualTensor(tensor, None)
+
+    primal, dual = torch._VF._unpack_dual(tensor, level=level)
+
+    return UnpackedDualTensor(primal, dual)
+
+
+class dual_level(_DecoratorContextManager):
+    r"""Context-manager for forward AD, where all forward AD computation must occur within the ``dual_level`` context.
+
+    .. Note::
+
+        The ``dual_level`` context appropriately enters and exit the dual level to
+        controls the current forward AD level, which is used by default by the other
+        functions in this API.
+
+        We currently don't plan to support nested ``dual_level`` contexts, however, so
+        only a single forward AD level is supported. To compute higher-order
+        forward grads, one can use :func:`torch.func.jvp`.
+
+    Example::
+
+        >>> # xdoctest: +SKIP("Undefined variables")
+        >>> x = torch.tensor([1])
+        >>> x_t = torch.tensor([1])
+        >>> with dual_level():
+        ...     inp = make_dual(x, x_t)
+        ...     # Do computations with inp
+        ...     out = your_fn(inp)
+        ...     _, grad = unpack_dual(out)
+        >>> grad is None
+        False
+        >>> # After exiting the level, the grad is deleted
+        >>> _, grad_after = unpack_dual(out)
+        >>> grad is None
+        True
+
+    Please see the `forward-mode AD tutorial <https://pytorch.org/tutorials/intermediate/forward_ad_usage.html>`__
+    for detailed steps on how to use this API.
+    """
+
+    def __enter__(self):
+        return enter_dual_level()
+
+    def __exit__(self, exc_type: Any, exc_value: Any, traceback: Any) -> None:
+        exit_dual_level()
+
+
+# Private helper functions
+_is_fwd_grad_enabled = torch._C._is_fwd_grad_enabled
+
+
+# Private helper function to enable or disable fwd grad.
+# If you're a user and want to use this, please file an issue to discuss the use case.
+class _set_fwd_grad_enabled(_DecoratorContextManager):
+    def __init__(self, mode: bool) -> None:
+        self.prev = _is_fwd_grad_enabled()
+        torch._C._set_fwd_grad_enabled(mode)
+
+    def __enter__(self) -> None:
+        pass
+
+    def __exit__(self, exc_type: Any, exc_value: Any, traceback: Any) -> None:
+        torch._C._set_fwd_grad_enabled(self.prev)

parrot/lib/python3.10/site-packages/torch/autograd/function.py

@@ -0,0 +1,843 @@
+# mypy: allow-untyped-defs
+import functools
+import inspect
+import itertools
+import warnings
+from collections import OrderedDict
+from typing import Any, List, Optional, Tuple
+from typing_extensions import deprecated
+
+import torch
+import torch._C as _C
+import torch._functorch as _functorch
+import torch.utils.hooks as hooks
+from torch._C import _functions
+from torch._functorch.autograd_function import custom_function_call
+
+__all__ = [
+    "FunctionCtx",
+    "BackwardCFunction",
+    "FunctionMeta",
+    "Function",
+    "once_differentiable",
+    "InplaceFunction",
+    "NestedIOFunction",
+]
+
+# Unique id provider for each class inheriting from Function
+# This is incremented in FunctionMeta during class definition
+AUTOGRAD_FUNCTION_COUNTER = itertools.count()
+
+
+# Formerly known as: _ContextMethodMixin
+class FunctionCtx:
+    def save_for_backward(self, *tensors: torch.Tensor):
+        r"""Save given tensors for a future call to :func:`~Function.backward`.
+
+        ``save_for_backward`` should be called at most once, in either the
+        :func:`setup_context` or :func:`forward` methods, and only with tensors.
+
+        All tensors intended to be used in the backward pass should be saved
+        with ``save_for_backward`` (as opposed to directly on ``ctx``) to prevent
+        incorrect gradients and memory leaks, and enable the application of saved
+        tensor hooks. See :class:`torch.autograd.graph.saved_tensors_hooks`.
+
+        Note that if intermediary tensors, tensors that are neither inputs
+        nor outputs of :func:`forward`, are saved for backward, your custom Function
+        may not support double backward.
+        Custom Functions that do not support double backward should decorate their
+        :func:`backward` method with ``@once_differentiable`` so that performing
+        double backward raises an error. If you'd like to support double backward,
+        you can either recompute intermediaries based on the inputs during backward
+        or return the intermediaries as the outputs of the custom Function. See the
+        `double backward tutorial <https://pytorch.org/tutorials/intermediate/custom_function_double_backward_tutorial.html>`_
+        for more details.
+
+        In :func:`backward`, saved tensors can be accessed through the :attr:`saved_tensors`
+        attribute. Before returning them to the user, a check is made to ensure
+        they weren't used in any in-place operation that modified their content.
+
+        Arguments can also be ``None``. This is a no-op.
+
+        See :ref:`extending-autograd` for more details on how to use this method.
+
+        Example::
+            >>> # xdoctest: +REQUIRES(env:TORCH_DOCTEST_AUTOGRAD)
+            >>> class Func(Function):
+            >>>     @staticmethod
+            >>>     def forward(ctx, x: torch.Tensor, y: torch.Tensor, z: int):
+            >>>         w = x * z
+            >>>         out = x * y + y * z + w * y
+            >>>         ctx.save_for_backward(x, y, w, out)
+            >>>         ctx.z = z  # z is not a tensor
+            >>>         return out
+            >>>
+            >>>     @staticmethod
+            >>>     @once_differentiable
+            >>>     def backward(ctx, grad_out):
+            >>>         x, y, w, out = ctx.saved_tensors
+            >>>         z = ctx.z
+            >>>         gx = grad_out * (y + y * z)
+            >>>         gy = grad_out * (x + z + w)
+            >>>         gz = None
+            >>>         return gx, gy, gz
+            >>>
+            >>> a = torch.tensor(1., requires_grad=True, dtype=torch.double)
+            >>> b = torch.tensor(2., requires_grad=True, dtype=torch.double)
+            >>> c = 4
+            >>> d = Func.apply(a, b, c)
+
+        """
+        self.to_save = tensors
+
+    def save_for_forward(self, *tensors: torch.Tensor):
+        r"""Save given tensors for a future call to :func:`~Function.jvp`.
+
+        ``save_for_forward`` should be called at most once, in either the
+        :func:`setup_context` or :func:`forward` methods, and all arguments
+        should be tensors.
+
+        In :func:`jvp`, saved objects can be accessed through the :attr:`saved_tensors`
+        attribute.
+
+        Arguments can also be ``None``. This is a no-op.
+
+        See :ref:`extending-autograd` for more details on how to use this method.
+
+        Example::
+            >>> # xdoctest: +SKIP
+            >>> class Func(torch.autograd.Function):
+            >>>     @staticmethod
+            >>>     def forward(ctx, x: torch.Tensor, y: torch.Tensor, z: int):
+            >>>         ctx.save_for_backward(x, y)
+            >>>         ctx.save_for_forward(x, y)
+            >>>         ctx.z = z
+            >>>         return x * y * z
+            >>>
+            >>>     @staticmethod
+            >>>     def jvp(ctx, x_t, y_t, _):
+            >>>         x, y = ctx.saved_tensors
+            >>>         z = ctx.z
+            >>>         return z * (y * x_t + x * y_t)
+            >>>
+            >>>     @staticmethod
+            >>>     def vjp(ctx, grad_out):
+            >>>         x, y = ctx.saved_tensors
+            >>>         z = ctx.z
+            >>>         return z * grad_out * y, z * grad_out * x, None
+            >>>
+            >>>     a = torch.tensor(1., requires_grad=True, dtype=torch.double)
+            >>>     t = torch.tensor(1., dtype=torch.double)
+            >>>     b = torch.tensor(2., requires_grad=True, dtype=torch.double)
+            >>>     c = 4
+            >>>
+            >>>     with fwAD.dual_level():
+            >>>         a_dual = fwAD.make_dual(a, t)
+            >>>         d = Func.apply(a_dual, b, c)
+
+        """
+        for tensor in tensors:
+            assert isinstance(tensor, torch.Tensor) or tensor is None, (
+                "save_for_forward expects all arguments to be tensors; you should "
+                "save non-tensors as attributes on ctx."
+            )
+
+        self.saved_for_forward = tensors
+
+    def mark_dirty(self, *args: torch.Tensor):
+        r"""Mark given tensors as modified in an in-place operation.
+
+        This should be called at most once, in either the :func:`setup_context`
+        or :func:`forward` methods, and all arguments should be inputs.
+
+        Every tensor that's been modified in-place in a call to :func:`forward`
+        should be given to this function, to ensure correctness of our checks.
+        It doesn't matter whether the function is called before or after
+        modification.
+
+        Examples::
+            >>> # xdoctest: +REQUIRES(env:TORCH_DOCTEST_AUTOGRAD)
+            >>> class Inplace(Function):
+            >>>     @staticmethod
+            >>>     def forward(ctx, x):
+            >>>         x_npy = x.numpy() # x_npy shares storage with x
+            >>>         x_npy += 1
+            >>>         ctx.mark_dirty(x)
+            >>>         return x
+            >>>
+            >>>     @staticmethod
+            >>>     @once_differentiable
+            >>>     def backward(ctx, grad_output):
+            >>>         return grad_output
+            >>>
+            >>> a = torch.tensor(1., requires_grad=True, dtype=torch.double).clone()
+            >>> b = a * a
+            >>> Inplace.apply(a)  # This would lead to wrong gradients!
+            >>>                   # but the engine would not know unless we mark_dirty
+            >>> # xdoctest: +SKIP
+            >>> b.backward() # RuntimeError: one of the variables needed for gradient
+            >>>              # computation has been modified by an inplace operation
+
+        """
+        self.dirty_tensors = args
+
+    @deprecated(
+        "`mark_shared_storage` is deprecated. "
+        "Tensors with shared storages are automatically tracked. "
+        "Note that calls to `set_()` are not tracked",
+        category=FutureWarning,
+    )
+    def mark_shared_storage(self, *pairs):
+        pass
+
+    def mark_non_differentiable(self, *args: torch.Tensor):
+        r"""Mark outputs as non-differentiable.
+
+        This should be called at most once, in either the :func:`setup_context`
+        or :func:`forward` methods, and all arguments should be tensor outputs.
+
+        This will mark outputs as not requiring gradients, increasing the
+        efficiency of backward computation. You still need to accept a gradient
+        for each output in :meth:`~Function.backward`, but it's always going to
+        be a zero tensor with the same shape as the shape of a corresponding
+        output.
+
+        This is used e.g. for indices returned from a sort. See example::
+            >>> class Func(Function):
+            >>>     @staticmethod
+            >>>     def forward(ctx, x):
+            >>>         sorted, idx = x.sort()
+            >>>         ctx.mark_non_differentiable(idx)
+            >>>         ctx.save_for_backward(x, idx)
+            >>>         return sorted, idx
+            >>>
+            >>>     @staticmethod
+            >>>     @once_differentiable
+            >>>     def backward(ctx, g1, g2):  # still need to accept g2
+            >>>         x, idx = ctx.saved_tensors
+            >>>         grad_input = torch.zeros_like(x)
+            >>>         grad_input.index_add_(0, idx, g1)
+            >>>         return grad_input
+
+        """
+        self.non_differentiable = args
+
+    def set_materialize_grads(self, value: bool):
+        r"""Set whether to materialize grad tensors. Default is ``True``.
+
+        This should be called only from either the :func:`setup_context` or
+        :func:`forward` methods.
+
+        If ``True``, undefined grad tensors will be expanded to tensors full of zeros
+        prior to calling the :func:`backward` and :func:`jvp` methods.
+
+        Example::
+            >>> # xdoctest: +REQUIRES(env:TORCH_DOCTEST_AUTOGRAD)
+            >>> class SimpleFunc(Function):
+            >>>     @staticmethod
+            >>>     def forward(ctx, x):
+            >>>         return x.clone(), x.clone()
+            >>>
+            >>>     @staticmethod
+            >>>     @once_differentiable
+            >>>     def backward(ctx, g1, g2):
+            >>>         return g1 + g2  # No check for None necessary
+            >>>
+            >>> # We modify SimpleFunc to handle non-materialized grad outputs
+            >>> class Func(Function):
+            >>>     @staticmethod
+            >>>     def forward(ctx, x):
+            >>>         ctx.set_materialize_grads(False)
+            >>>         ctx.save_for_backward(x)
+            >>>         return x.clone(), x.clone()
+            >>>
+            >>>     @staticmethod
+            >>>     @once_differentiable
+            >>>     def backward(ctx, g1, g2):
+            >>>         x, = ctx.saved_tensors
+            >>>         grad_input = torch.zeros_like(x)
+            >>>         if g1 is not None:  # We must check for None now
+            >>>             grad_input += g1
+            >>>         if g2 is not None:
+            >>>             grad_input += g2
+            >>>         return grad_input
+            >>>
+            >>> a = torch.tensor(1., requires_grad=True)
+            >>> b, _ = Func.apply(a)  # induces g2 to be undefined
+
+        """
+        self.materialize_grads = value
+
+
+# DO NOT USE: This is only defined to be able to load old serialized models
+_ContextMethodMixin = FunctionCtx
+
+
+class _HookMixin:
+    @staticmethod
+    def _register_hook(backward_hooks, hook):
+        if backward_hooks is None:
+            backward_hooks = OrderedDict()
+        handle = hooks.RemovableHandle(backward_hooks)
+        backward_hooks[handle.id] = hook
+        return backward_hooks, handle
+
+
+class BackwardCFunction(_C._FunctionBase, FunctionCtx, _HookMixin):
+    r"""
+    This class is used for internal autograd work. Do not use.
+    """
+
+    def apply(self, *args):
+        r"""
+        Apply method used when executing this Node during the backward
+        """
+        # _forward_cls is defined by derived class
+        # The user should define either backward or vjp but never both.
+        backward_fn = self._forward_cls.backward  # type: ignore[attr-defined]
+        vjp_fn = self._forward_cls.vjp  # type: ignore[attr-defined]
+        if backward_fn is not Function.backward and vjp_fn is not Function.vjp:
+            raise RuntimeError(
+                "Implementing both 'backward' and 'vjp' for a custom "
+                "Function is not allowed. You should only implement one "
+                "of them."
+            )
+        user_fn = vjp_fn if vjp_fn is not Function.vjp else backward_fn
+        return user_fn(self, *args)
+
+    def apply_jvp(self, *args):
+        r"""
+        Apply method used when executing forward mode AD during the forward
+        """
+        # _forward_cls is defined by derived class
+        return self._forward_cls.jvp(self, *args)  # type: ignore[attr-defined]
+
+    def _compiled_autograd_key(self):
+        return self._forward_cls._compiled_autograd_key(self)  # type: ignore[attr-defined]
+
+
+class FunctionMeta(type):
+    """Function metaclass.
+
+    This metaclass sets up the following properties:
+        _backward_cls: The Function class corresponding to the differentiated
+            version of this function (which is generated on the fly by this
+            metaclass).
+    """
+
+    def __init__(cls, name, bases, attrs):
+        backward_fn = type(
+            name + "Backward", (BackwardCFunction,), {"_forward_cls": cls}
+        )
+        backward_fn._autograd_function_id = next(AUTOGRAD_FUNCTION_COUNTER)  # type: ignore[attr-defined]
+        backward_fn._compiled_autograd_should_lift = attrs.get(  # type: ignore[attr-defined]
+            "_compiled_autograd_should_lift", True
+        )
+        cls._backward_cls = backward_fn
+
+        super().__init__(name, bases, attrs)
+
+
+class _SingleLevelFunction(
+    _C._FunctionBase, FunctionCtx, _HookMixin, metaclass=FunctionMeta
+):
+    @staticmethod
+    def forward(*args: Any, **kwargs: Any) -> Any:
+        r"""Define the forward of the custom autograd Function.
+
+        This function is to be overridden by all subclasses.
+        There are two ways to define forward:
+
+        Usage 1 (Combined forward and ctx)::
+
+            @staticmethod
+            def forward(ctx: Any, *args: Any, **kwargs: Any) -> Any:
+                pass
+
+        - It must accept a context ctx as the first argument, followed by any
+          number of arguments (tensors or other types).
+        - See :ref:`combining-forward-context` for more details
+
+        Usage 2 (Separate forward and ctx)::
+
+            @staticmethod
+            def forward(*args: Any, **kwargs: Any) -> Any:
+                pass
+
+            @staticmethod
+            def setup_context(ctx: Any, inputs: Tuple[Any, ...], output: Any) -> None:
+                pass
+
+        - The forward no longer accepts a ctx argument.
+        - Instead, you must also override the :meth:`torch.autograd.Function.setup_context`
+          staticmethod to handle setting up the ``ctx`` object.
+          ``output`` is the output of the forward, ``inputs`` are a Tuple of inputs
+          to the forward.
+        - See :ref:`extending-autograd` for more details
+
+        The context can be used to store arbitrary data that can be then
+        retrieved during the backward pass. Tensors should not be stored
+        directly on `ctx` (though this is not currently enforced for
+        backward compatibility). Instead, tensors should be saved either with
+        :func:`ctx.save_for_backward` if they are intended to be used in
+        ``backward`` (equivalently, ``vjp``) or :func:`ctx.save_for_forward`
+        if they are intended to be used for in ``jvp``.
+        """
+        raise NotImplementedError(
+            "You must implement the forward function for custom autograd.Function."
+        )
+
+    @staticmethod
+    def setup_context(ctx: Any, inputs: Tuple[Any, ...], output: Any) -> Any:
+        r"""There are two ways to define the forward pass of an autograd.Function.
+
+        Either:
+
+        1. Override forward with the signature ``forward(ctx, *args, **kwargs)``.
+           ``setup_context`` is not overridden. Setting up the ctx for backward
+           happens inside the ``forward``.
+        2. Override forward with the signature ``forward(*args, **kwargs)`` and
+           override ``setup_context``. Setting up the ctx for backward happens
+           inside ``setup_context`` (as opposed to inside the ``forward``)
+
+        See :meth:`torch.autograd.Function.forward` and :ref:`extending-autograd` for more details.
+        """
+        raise NotImplementedError("setup_context is not implemented.")
+
+    @staticmethod
+    def backward(ctx: Any, *grad_outputs: Any) -> Any:
+        r"""Define a formula for differentiating the operation with backward mode automatic differentiation.
+
+        This function is to be overridden by all subclasses.
+        (Defining this function is equivalent to defining the ``vjp`` function.)
+
+        It must accept a context :attr:`ctx` as the first argument, followed by
+        as many outputs as the :func:`forward` returned (None will be passed in
+        for non tensor outputs of the forward function),
+        and it should return as many tensors, as there were inputs to
+        :func:`forward`. Each argument is the gradient w.r.t the given output,
+        and each returned value should be the gradient w.r.t. the
+        corresponding input. If an input is not a Tensor or is a Tensor not
+        requiring grads, you can just pass None as a gradient for that input.
+
+        The context can be used to retrieve tensors saved during the forward
+        pass. It also has an attribute :attr:`ctx.needs_input_grad` as a tuple
+        of booleans representing whether each input needs gradient. E.g.,
+        :func:`backward` will have ``ctx.needs_input_grad[0] = True`` if the
+        first input to :func:`forward` needs gradient computed w.r.t. the
+        output.
+        """
+        raise NotImplementedError(
+            "You must implement either the backward or vjp method for "
+            "your custom autograd.Function to use it with backward "
+            "mode AD."
+        )
+
+    # vjp and backward are alias of each other
+    vjp = backward
+
+    @staticmethod
+    def jvp(ctx: Any, *grad_inputs: Any) -> Any:
+        r"""Define a formula for differentiating the operation with forward mode automatic differentiation.
+
+        This function is to be overridden by all subclasses.
+        It must accept a context :attr:`ctx` as the first argument, followed by
+        as many inputs as the :func:`forward` got (None will be passed in
+        for non tensor inputs of the forward function),
+        and it should return as many tensors as there were outputs to
+        :func:`forward`. Each argument is the gradient w.r.t the given input,
+        and each returned value should be the gradient w.r.t. the
+        corresponding output. If an output is not a Tensor or the function is not
+        differentiable with respect to that output, you can just pass None as a
+        gradient for that input.
+
+        You can use the :attr:`ctx` object to pass any value from the forward to this
+        functions.
+        """
+        raise NotImplementedError(
+            "You must implement the jvp function for custom "
+            "autograd.Function to use it with forward mode AD."
+        )
+
+
+class Function(_SingleLevelFunction):
+    r"""Base class to create custom `autograd.Function`.
+
+    To create a custom `autograd.Function`, subclass this class and implement
+    the :meth:`forward` and :meth:`backward` static methods. Then, to use your custom
+    op in the forward pass, call the class method ``apply``. Do not call
+    :meth:`forward` directly.
+
+    To ensure correctness and best performance, make sure you are calling the
+    correct methods on ``ctx`` and validating your backward function using
+    :func:`torch.autograd.gradcheck`.
+
+    See :ref:`extending-autograd` for more details on how to use this class.
+
+    Examples::
+
+        >>> # xdoctest: +REQUIRES(env:TORCH_DOCTEST_AUTOGRAD)
+        >>> class Exp(Function):
+        >>>     @staticmethod
+        >>>     def forward(ctx, i):
+        >>>         result = i.exp()
+        >>>         ctx.save_for_backward(result)
+        >>>         return result
+        >>>
+        >>>     @staticmethod
+        >>>     def backward(ctx, grad_output):
+        >>>         result, = ctx.saved_tensors
+        >>>         return grad_output * result
+        >>>
+        >>> # Use it by calling the apply method:
+        >>> # xdoctest: +SKIP
+        >>> output = Exp.apply(input)
+    """
+
+    def __init__(self, *args, **kwargs):
+        warnings.warn(
+            f"{self.__class__} should not be instantiated. Methods on autograd functions"
+            "are all static, so you should invoke them on the class itself. "
+            "Instantiating an autograd function will raise an "
+            "error in a future version of PyTorch.",
+            DeprecationWarning,
+            stacklevel=2,
+        )
+
+    def __call__(self, *args, **kwargs):
+        raise RuntimeError(
+            "Legacy autograd function with non-static forward method is deprecated. "
+            "Please use new-style autograd function with static forward method. "
+            "(Example: https://pytorch.org/docs/stable/autograd.html#torch.autograd.Function)"
+        )
+
+    """
+    Bool that specifies if PyTorch should attempt to autogenerate
+    :func:`torch.vmap` support for this autograd.Function. You may set this to
+    True only if this autograd.Function's forward, backward, and jvp (if they
+    exist) are written using PyTorch operations; otherwise, please override
+    :meth:`torch.autograd.Function.vmap` to add support for :func:`torch.vmap`.
+
+    Please see :ref:`func-autograd-function` for more details.
+    """
+    generate_vmap_rule = False
+
+    @staticmethod
+    def vmap(info, in_dims, *args):
+        r"""Define the behavior for this autograd.Function underneath :func:`torch.vmap`.
+
+        For a :func:`torch.autograd.Function` to support
+        :func:`torch.vmap`, you must either override this static method, or set
+        ``generate_vmap_rule`` to ``True`` (you may not do both).
+
+        If you choose to override this staticmethod: it must accept
+
+        - an ``info`` object as the first argument. ``info.batch_size``
+          specifies the size of the dimension being vmapped over,
+          while ``info.randomness`` is the randomness option passed to
+          :func:`torch.vmap`.
+        - an ``in_dims`` tuple as the second argument.
+          For each arg in ``args``, ``in_dims`` has a corresponding
+          ``Optional[int]``. It is ``None`` if the arg is not a Tensor or if
+          the arg is not being vmapped over, otherwise, it is an integer
+          specifying what dimension of the Tensor is being vmapped over.
+        - ``*args``, which is the same as the args to :meth:`~Function.forward`.
+
+        The return of the vmap staticmethod is a tuple of ``(output, out_dims)``.
+        Similar to ``in_dims``, ``out_dims`` should be of the same structure as
+        ``output`` and contain one ``out_dim`` per output that specifies if the
+        output has the vmapped dimension and what index it is in.
+
+        Please see :ref:`func-autograd-function` for more details.
+        """
+        raise NotImplementedError(
+            "To use autograd.Function with vmap, you must either override the "
+            "vmap staticmethod or set generate_vmap_rule=True."
+        )
+
+    @classmethod
+    def apply(cls, *args, **kwargs):
+        def bind_default_args(func, *args, **kwargs):
+            signature = inspect.signature(func)
+            bound_args = signature.bind(*args, **kwargs)
+            bound_args.apply_defaults()
+
+            return bound_args.args
+
+        is_setup_ctx_defined = _is_setup_context_defined(cls.setup_context)
+        if is_setup_ctx_defined:
+            args = bind_default_args(cls.forward, *args, **kwargs)
+
+        if not torch._C._are_functorch_transforms_active():
+            # See NOTE: [functorch vjp and autograd interaction]
+            args = _functorch.utils.unwrap_dead_wrappers(args)
+            return super().apply(*args, **kwargs)  # type: ignore[misc]
+
+        if not is_setup_ctx_defined:
+            raise RuntimeError(
+                "In order to use an autograd.Function with functorch transforms "
+                "(vmap, grad, jvp, jacrev, ...), it must override the setup_context "
+                "staticmethod. For more details, please see "
+                "https://pytorch.org/docs/main/notes/extending.func.html"
+            )
+
+        return custom_function_call(cls, *args, **kwargs)
+
+    @staticmethod
+    def _compiled_autograd_key(ctx):
+        return (ctx._autograd_function_id,)
+
+
+def _is_setup_context_defined(fn):
+    return fn != _SingleLevelFunction.setup_context
+
+
+def once_differentiable(fn):
+    @functools.wraps(fn)
+    def wrapper(ctx, *args):
+        with torch.no_grad():
+            outputs = fn(ctx, *args)
+
+        if not torch.is_grad_enabled():
+            return outputs
+
+        # If any of the inputs have requires_grad=True, we force the outputs
+        # to have requires_grad=True but point to a grad_fn which throws an
+        # error message during (double) back-propagation.
+        # XXX: this is only an approximation of requires_grad - there's no way
+        # to figure out if fn didn't use ctx.saved_tensors and as a result
+        # some Tensors might require grad, even if no args do.
+        # Unfortunately, this leads to unexpected error messages ("no nodes
+        # require computing gradients"), but I don't have a better idea.
+        # These functions would raise an error in backward anyway.
+        requires_grad = any(
+            isinstance(arg, torch.Tensor) and arg.requires_grad for arg in args
+        )
+        if not requires_grad:
+            return outputs
+
+        if not isinstance(outputs, tuple):
+            outputs = (outputs,)
+
+        err_fn = _functions.DelayedError(
+            b"trying to differentiate twice a function that was marked "
+            b"with @once_differentiable",
+            len(outputs),
+        )
+
+        # Create aliases of each output that has requires_grad=True. We need
+        # at least one of the inputs to err_fn to require grad so that the
+        # output will have a grad_fn.
+        def fake_requires_grad(var):
+            if var is not None:
+                var = var.detach()
+                var.requires_grad = True
+            return var
+
+        return err_fn(*[fake_requires_grad(v) for v in outputs])
+
+    return wrapper
+
+
+class InplaceFunction(Function):
+    r"""
+    This class is here only for backward compatibility reasons.
+    Use :class:`Function` instead of this for any new use case.
+    """
+
+    def __init__(self, inplace=False):
+        super().__init__()
+        self.inplace = inplace
+
+
+def _nested_map(condition, fn, condition_msg=None):
+    def _map(obj):
+        if condition(obj):
+            return fn(obj)
+        elif obj is None:
+            return None
+        elif isinstance(obj, (list, tuple)):
+            mapped = (_map(x) for x in obj)
+            if hasattr(obj, "_fields"):
+                # obj is namedtuple
+                return type(obj)(*mapped)
+            return type(obj)(mapped)
+        elif isinstance(obj, dict):
+            return {x: _map(obj[x]) for x in obj}
+        else:
+            raise ValueError(
+                "Auto nesting doesn't know how to process "
+                "an input object of type "
+                + torch.typename(obj)
+                + (
+                    ". Accepted types: " + condition_msg + ", or lists/tuples of them"
+                    if condition_msg
+                    else ""
+                )
+            )
+
+    return _map
+
+
+def _jit_unwrap_structured(obj):
+    if hasattr(obj, "_jit_unwrap"):
+        return obj._jit_unwrap()
+    return obj
+
+
+def _iter_filter(condition, allow_unknown=False, condition_msg=None, conversion=None):
+    def _iter(obj):
+        if conversion is not None:
+            obj = conversion(obj)
+        if condition(obj):
+            yield obj
+        elif obj is None:
+            return
+        elif isinstance(obj, (list, tuple)):
+            for o in obj:
+                yield from _iter(o)
+        elif isinstance(obj, dict):
+            # We only accept primitive key types, so we needn't inspect them
+            for o in obj.values():
+                yield from _iter(o)
+        elif allow_unknown:
+            yield obj
+        else:
+            raise ValueError(
+                "Auto nesting doesn't know how to process "
+                "an input object of type "
+                + torch.typename(obj)
+                + (
+                    ". Accepted types: " + condition_msg + ", or lists/tuples of them"
+                    if condition_msg
+                    else ""
+                )
+            )
+
+    return _iter
+
+
+def _unflatten(input, proto):
+    # unflatten a list or tuple input into a nested list/tuple structure
+    # specified by proto
+    def unflatten_helper(input, proto):
+        res: List[Optional[torch.Tensor]] = []
+        if hasattr(proto, "_jit_wrap"):
+            return proto._jit_wrap(input)
+        if not isinstance(proto, (list, tuple)):
+            return input[0], input[1:]
+        for e in proto:
+            if e is None:
+                res.append(e)
+            else:
+                res_e, input = unflatten_helper(input, e)
+                res.append(res_e)
+        return type(proto)(res), input
+
+    return unflatten_helper(input, proto)[0]
+
+
+_iter_jit_values = _iter_filter(
+    lambda o: o is None or isinstance(o, torch._C.Value),
+    condition_msg="jit's Values or None",
+)
+_iter_tensors = _iter_filter(
+    lambda x: isinstance(x, torch.Tensor),
+    condition_msg="Tensors",
+    conversion=_jit_unwrap_structured,
+)
+_iter_tensors_permissive = _iter_filter(
+    lambda x: isinstance(x, torch.Tensor),
+    allow_unknown=True,
+    condition_msg="Tensors (permissive)",
+)
+_iter_None_tensors = _iter_filter(
+    lambda o: o is None or isinstance(o, torch.Tensor), condition_msg="Tensors or None"
+)
+_map_tensor_data = _nested_map(
+    lambda x: isinstance(x, torch.Tensor), lambda o: o.data, condition_msg="Tensors"
+)
+
+
+class NestedIOFunction(Function):
+    r"""
+    This class is here only for backward compatibility reasons.
+    Use :class:`Function` instead of this for any new use case.
+    """
+    # The 'type: ignore' statements are needed here because these functions are declared as '@staticmethod' in the
+    # superclass (Function) but are instance methods here, which mypy reports as incompatible.
+
+    def _do_forward(self, *input):
+        self._nested_input = input
+        flat_input = tuple(_iter_tensors(input))
+        flat_output = super()._do_forward(*flat_input)  # type: ignore[misc]
+        nested_output = self._nested_output
+        nested_tensors = _unflatten(flat_output, self._nested_output)
+        return nested_tensors
+
+    def _do_backward(self, gradients, retain_variables):
+        self.retain_variables = retain_variables
+        result = super()._do_backward(gradients, retain_variables)  # type: ignore[misc]
+        if not retain_variables:
+            del self._nested_output
+            del self._to_save_nested
+        return result
+
+    def backward(self, *gradients: Any) -> Any:  # type: ignore[override]
+        r"""
+        Shared backward utility.
+        """
+        nested_gradients = _unflatten(gradients, self._nested_output)
+        result = self.backward_extended(*nested_gradients)  # type: ignore[func-returns-value]
+        return tuple(_iter_None_tensors(result))
+
+    __call__ = _do_forward
+
+    def forward(self, *args: Any) -> Any:  # type: ignore[override]
+        r"""
+        Shared forward utility.
+        """
+        nested_tensors = _map_tensor_data(self._nested_input)
+        result = self.forward_extended(*nested_tensors)  # type: ignore[func-returns-value]
+        del self._nested_input
+        self._nested_output = result
+        return tuple(_iter_tensors(result))
+
+    def save_for_backward(self, *args: Any) -> None:
+        r"""
+        See :meth:`Function.save_for_backward`.
+        """
+        self.to_save = tuple(_iter_tensors(args))
+        self._to_save_nested = args
+
+    @property
+    def saved_tensors(self):
+        r"""
+        See :meth:`Function.saved_tensors`.
+        """
+        flat_tensors = super().saved_tensors  # type: ignore[misc]
+        return _unflatten(flat_tensors, self._to_save_nested)
+
+    def mark_dirty(self, *args: Any, **kwargs: Any) -> None:
+        r"""
+        See :meth:`Function.mark_dirty`.
+        """
+        self.dirty_tensors = tuple(_iter_tensors((args, kwargs)))
+
+    def mark_non_differentiable(self, *args: Any, **kwargs: Any) -> None:
+        r"""
+        See :meth:`Function.mark_non_differentiable`.
+        """
+        self.non_differentiable = tuple(_iter_tensors((args, kwargs)))
+
+    def forward_extended(self, *input: Any) -> None:
+        r"""
+        User defined forward.
+        """
+        raise NotImplementedError
+
+    def backward_extended(self, *grad_output: Any) -> None:
+        r"""
+        User defined backward.
+        """
+        raise NotImplementedError