"""
Python implementation of ``__torch_function__``

While most of the torch API and handling for ``__torch_function__`` happens
at the C++ level, some of the torch API is written in Python so we need
python-level handling for ``__torch_function__`` overrides as well. The main
developer-facing functionality in this file are handle_torch_function and
has_torch_function. See torch/functional.py and test/test_overrides.py
for usage examples.

Note
----
heavily inspired by NumPy's ``__array_function__`` (see:
https://github.com/pytorch/pytorch/issues/24015 and
https://www.numpy.org/neps/nep-0018-array-function-protocol.html
)

If changing this file in a way that can affect ``__torch_function__`` overhead,
please report the benchmarks in ``benchmarks/overrides_benchmark``. See the
instructions in the ``README.md`` in that directory.
"""

import __future__

import collections
import functools
import types
from typing import Dict, Set, List, Any, Callable, Iterable, Type

import torch
from torch._C import (
    _has_torch_function, _has_torch_function_unary,
    _has_torch_function_variadic, _add_docstr)

__all__ = [
    "get_ignored_functions",
    "get_overridable_functions",
    "get_testing_overrides",
    "handle_torch_function",
    "has_torch_function",
    "is_tensor_like",
    "is_tensor_method_or_property",
    "wrap_torch_function",
]

@functools.lru_cache(None)
def get_ignored_functions() -> Set[Callable]:
    """
    Return public functions that cannot be overridden by ``__torch_function__``.

    Returns
    -------
    Set[Callable]
        A tuple of functions that are publicly available in the torch API but cannot
        be overridden with ``__torch_function__``. Mostly this is because none of the
        arguments of these functions are tensors or tensor-likes.

    Examples
    --------
    >>> torch.Tensor.as_subclass in torch.overrides.get_ignored_functions()
    True
    >>> torch.add in torch.overrides.get_ignored_functions()
    False
    """
    Tensor = torch.Tensor
    return {
        torch.typename,
        torch.is_tensor,
        torch.is_storage,
        torch.set_default_tensor_type,
        torch.set_rng_state,
        torch.get_rng_state,
        torch.manual_seed,
        torch.initial_seed,
        torch.seed,
        torch.save,
        torch.load,
        torch.set_printoptions,
        torch.fork,
        torch.get_default_dtype,
        torch.get_num_interop_threads,
        torch.get_num_threads,
        torch.init_num_threads,
        torch.import_ir_module,
        torch.import_ir_module_from_buffer,
        torch.is_anomaly_enabled,
        torch.is_grad_enabled,
        torch.merge_type_from_type_comment,
        torch.parse_ir,
        torch.parse_schema,
        torch.parse_type_comment,
        torch.set_anomaly_enabled,
        torch.set_flush_denormal,
        torch.set_num_interop_threads,
        torch.set_num_threads,
        torch.wait,
        torch.as_tensor,
        torch.from_numpy,
        torch.get_device,
        torch.tensor,
        torch.default_generator,
        torch.has_cuda,
        torch.has_cudnn,
        torch.has_lapack,
        torch.device,
        torch.dtype,
        torch.finfo,
        torch.has_mkl,
        torch.has_mkldnn,
        torch.has_openmp,
        torch.iinfo,
        torch.memory_format,
        torch.qscheme,
        torch.set_grad_enabled,
        torch.no_grad,
        torch.enable_grad,
        torch.inference_mode,
        torch.is_inference_mode_enabled,
        torch.layout,
        torch.align_tensors,
        torch.arange,
        torch.as_strided,
        torch.bartlett_window,
        torch.blackman_window,
        torch.broadcast_shapes,
        torch.can_cast,
        torch.cudnn_affine_grid_generator,
        torch.cudnn_batch_norm,
        torch.cudnn_convolution,
        torch.cudnn_convolution_transpose,
        torch.cudnn_convolution_relu,
        torch.cudnn_convolution_add_relu,
        torch.cudnn_grid_sampler,
        torch.cudnn_is_acceptable,
        torch.empty,
        torch.empty_strided,
        torch.empty_quantized,
        torch.eye,
        torch.fft.fftfreq,
        torch.fft.rfftfreq,
        torch.from_file,
        torch.full,
        torch.hamming_window,
        torch.hann_window,
        torch.kaiser_window,
        torch.linspace,
        torch.logspace,
        torch.mkldnn_adaptive_avg_pool2d,
        torch.mkldnn_convolution,
        torch.mkldnn_convolution_backward_weights,
        torch.mkldnn_max_pool2d,
        torch.mkldnn_max_pool3d,
        torch.mkldnn_linear_backward_weights,
        torch.normal,
        torch.ones,
        torch.promote_types,
        torch.rand,
        torch.randn,
        torch.randint,
        torch.randperm,
        torch.range,
        torch.result_type,
        torch.scalar_tensor,
        torch.sparse_coo_tensor,
        torch.sparse_csr_tensor,
        torch.tril_indices,
        torch.triu_indices,
        torch.vander,
        torch.zeros,
        torch._jit_internal.boolean_dispatch,
        torch.nn.functional.assert_int_or_pair,
        torch.nn.functional.upsample,
        torch.nn.functional.upsample_bilinear,
        torch.nn.functional.upsample_nearest,
        torch.nn.functional.has_torch_function,
        torch.nn.functional.has_torch_function_unary,
        torch.nn.functional.has_torch_function_variadic,
        torch.nn.functional.handle_torch_function,
        torch.nn.functional.sigmoid,
        torch.nn.functional.hardsigmoid,
        torch.nn.functional.tanh,
        has_torch_function,
        handle_torch_function,
        torch.set_autocast_enabled,
        torch.is_autocast_enabled,
        torch.clear_autocast_cache,
        torch.set_autocast_cpu_enabled,
        torch.is_autocast_cpu_enabled,
        torch.set_autocast_cpu_dtype,
        torch.get_autocast_cpu_dtype,
        torch.get_autocast_gpu_dtype,
        torch.set_autocast_gpu_dtype,
        torch.autocast_increment_nesting,
        torch.autocast_decrement_nesting,
        torch.nn.functional.hardswish,
        torch.is_vulkan_available,
        torch.are_deterministic_algorithms_enabled,
        torch.use_deterministic_algorithms,
        torch.unify_type_list,
        torch.is_warn_always_enabled,
        torch.set_warn_always,
        torch.vitals_enabled,
        torch.set_vital,
        torch.read_vitals,
        torch.frombuffer,
        Tensor.__delitem__,
        Tensor.__dir__,
        Tensor.__getattribute__,
        Tensor.__init__,
        Tensor.__iter__,
        Tensor.__init_subclass__,
        Tensor.__delattr__,
        Tensor.__setattr__,
        Tensor.__torch_function__,
        Tensor.__new__,
        Tensor.__class__,
        Tensor.__subclasshook__,
        Tensor.as_subclass,
        Tensor.reinforce,
        Tensor.new,
        Tensor.new_tensor,
        Tensor.new_empty,
        Tensor.new_empty_strided,
        Tensor.new_zeros,
        Tensor.new_ones,
        Tensor.new_full,
        Tensor._make_subclass,
        Tensor.stride,
        Tensor.unflatten,
        Tensor.to_sparse_csr,
        Tensor._reduce_ex_internal,
        Tensor._fix_weakref,
        Tensor._python_dispatch.__get__,
        Tensor._conj,
        Tensor._conj_physical,
        Tensor._neg_view,
    }


@functools.lru_cache(None)
def get_default_nowrap_functions() -> Set[Callable]:
    """
    Return public functions that do not wrap in a subclass when invoked by
    the default ``Tensor.__torch_function__`` that preserves subclasses.  Typically,
    these functions represent field accesses (i.e., retrieving a Tensor that
    is stored somewhere on the Tensor) as opposed to computation.  Users of
    these functions expect object identity to be preserved over multiple accesses
    (e.g., ``a.grad is a.grad``) which cannot be upheld if we're wrapping on
    the fly every time (furthermore, the tensor stored here might already be
    the subclass, in which case wrapping really ought not to happen).

    Not ALL property accessors have this property; for example ``Tensor.T`` actually
    just creates a new transposed tensor on the fly, and so we SHOULD interpose on
    these calls (you need to check the implementation of the function to see if
    this is the case or not).  Additionally, if a property accessor doesn't return a Tensor,
    it doesn't have to be on this list (though it is harmless if it is).
    """
    Tensor = torch.Tensor
    return {
        Tensor._base.__get__,
        Tensor.grad.__get__,
        Tensor._grad.__get__,
    }


@functools.lru_cache(None)
def get_testing_overrides() -> Dict[Callable, Callable]:
    """Return a dict containing dummy overrides for all overridable functions

    Returns
    -------
    Dict[Callable, Callable]
        A dictionary that maps overridable functions in the PyTorch API to
        lambda functions that have the same signature as the real function
        and unconditionally return -1. These lambda functions are useful
        for testing API coverage for a type that defines ``__torch_function__``.

    Examples
    --------
    >>> import inspect
    >>> my_add = torch.overrides.get_testing_overrides()[torch.add]
    >>> inspect.signature(my_add)
    <Signature (input, other, out=None)>
    """
    # Every function in the PyTorchAPI that can be overriden needs an entry
    # in this dict.
    #
    # Optimally we would use inspect to get the function signature and define
    # the lambda function procedurally but that is blocked by generating
    # function signatures for native kernels that can be consumed by inspect.
    # See Issue #28233.
    Tensor = torch.Tensor
    ret: Dict[Callable, Callable] = {
        torch.abs: lambda input, out=None: -1,
        torch.absolute: lambda input, out=None: -1,
        torch.adaptive_avg_pool1d: lambda input, output_size: -1,
        torch.adaptive_max_pool1d: lambda inputs, output_size: -1,
        torch.acos: lambda input, out=None: -1,
        torch.arccos: lambda input, out=None: -1,
        torch.acosh: lambda input, out=None: -1,
        torch.arccosh: lambda input, out=None: -1,
        torch.add: lambda input, other, out=None: -1,
        torch.addbmm: lambda input, batch1, batch2, alpha=1, beta=1, out=None: -1,
        torch.addcdiv: lambda input, tensor1, tensor2, value=1, out=None: -1,
        torch.addcmul: lambda input, tensor1, tensor2, value=1, out=None: -1,
        torch.addmm: lambda input, mat1, mat2, beta=1, alpha=1, out=None: -1,
        torch.addmv: lambda input, mat, vec, beta=1, alpha=1, out=None: -1,
        torch.addr: lambda input, vec1, vec2, beta=1, alpha=1, out=None: -1,
        torch.affine_grid_generator: lambda theta, size, align_corners: -1,
        torch.all: lambda input, dim=None: -1,
        torch.allclose: lambda input, other, trol=1e-05, atol=1e-08, equal_nan=False: -1,
        torch.alpha_dropout: lambda input, p, train, inplace=False: -1,
        torch.amax: lambda input, dim=None: -1,
        torch.amin: lambda input, dim=None: -1,
        torch.aminmax: lambda input, dim=None, keepdim=False, out=None: -1,
        torch.angle: lambda input, out=None: -1,
        torch.any: lambda input, dim=None, keepdim=False, out=None: -1,
        torch.argmax: lambda input: -1,
        torch.argmin: lambda input: -1,
        torch.argsort: lambda input, dim=None: -1,
        torch.asin: lambda input, out=None: -1,
        torch._assert_async: lambda input: -1,
        torch.arcsin: lambda input, out=None: -1,
        torch.asinh: lambda input, out=None: -1,
        torch.arcsinh: lambda input, out=None: -1,
        torch.atan: lambda input, out=None: -1,
        torch.arctan: lambda input, out=None: -1,
        torch.atan2: lambda input, other, out=None: -1,
        torch.atanh: lambda input, out=None: -1,
        torch.arctanh: lambda input, out=None: -1,
        torch.atleast_1d: lambda *tensors: -1,
        torch.atleast_2d: lambda *tensors: -1,
        torch.atleast_3d: lambda *tensors: -1,
        torch.avg_pool1d: lambda input, kernel_size, stride=None, padding=0, ceil_mode=False, count_include_pad=True: -1,
        torch.baddbmm: lambda input, batch1, batch2, alpha=1, beta=1, out=None: -1,
        torch.batch_norm: lambda input, weight, bias, running_mean, running_var, training, momentum, eps, cudnn_enabled: -1,
        torch.batch_norm_backward_elemt: lambda grad_out, input, mean, invstd, weight, sum_dy, sum_dy_xmu, count_tensor: -1,
        torch.batch_norm_backward_reduce: lambda grad_out, input, mean, invstd, weight, input_g, weight_g, bias_g: -1,
        torch.batch_norm_elemt: lambda input, weight, bias, mean, invstd, eps: -1,
        torch.batch_norm_gather_stats: lambda input, mean, invstd, running_mean, running_var, momentum, eps, count: -1,
        torch.batch_norm_gather_stats_with_counts: lambda input, mean, invstd, running_mean, running_var, momentum, eps, count: -1,
        torch.batch_norm_stats: lambda input, eps: -1,
        torch.batch_norm_update_stats: lambda input, running_mean, running_var, momentum: -1,
        torch.bernoulli: lambda input, generator=None, out=None: -1,
        torch.bilinear: lambda input1, input2, weight, bias: -1,
        torch.binary_cross_entropy_with_logits: (lambda input, target, weight=None, size_average=None, reduce=None,
                                                 reduction='mean', pos_weight=None: -1),
        torch.bincount: lambda input, weights=None, minlength=0: -1,
        torch.binomial: lambda count, prob, generator=None: -1,
        torch.bitwise_and: lambda input, other, out=None: -1,
        torch.bitwise_not: lambda input, out=None: -1,
        torch.bitwise_or: lambda input, other, out=None: -1,
        torch.bitwise_xor: lambda input, other, out=None: -1,
        torch.bitwise_left_shift: lambda input, other, out=None: -1,
        torch.bitwise_right_shift: lambda input, other, out=None: -1,
        torch.block_diag: lambda *tensors: -1,
        torch.bmm: lambda input, mat2, out=None: -1,
        torch.broadcast_tensors: lambda *tensors: -1,
        torch.broadcast_to: lambda self, size: -1,
        torch.bucketize: lambda input, boundaries, out_int32=False, right=False, out=None: -1,
        torch.cartesian_prod: lambda *tensors: -1,
        torch.cat: lambda tensors, dim=0, out=None: -1,
        torch.cdist: lambda x1, x2, p=2.0, compute_mode='use_mm_for_euclid_dist_if_necessary': -1,
        torch.ceil: lambda input, out=None: -1,
        torch.celu: lambda input, alhpa=1., inplace=False: -1,
        torch.chain_matmul: lambda *matrices, out=None: -1,
        torch.channel_shuffle: lambda input, groups : -1,
        torch.cholesky: lambda input, upper=False, out=None: -1,
        torch.linalg.cholesky: lambda input, out=None: -1,
        torch.linalg.cholesky_ex: lambda input, check_errors=False, out=None: -1,
        torch.cholesky_inverse: lambda input, upper=False, out=None: -1,
        torch.cholesky_solve: lambda input1, input2, upper=False, out=None: -1,
        torch.choose_qparams_optimized: lambda input, numel, n_bins, ratio, bit_width: -1,
        torch.chunk: lambda input, chunks, dim=0: -1,
        torch.clamp: lambda input, min=None, max=None, out=None: -1,
        torch.clip: lambda input, min=None, max=None, out=None: -1,
        torch.clamp_min: lambda input, min, out=None: -1,
        torch.clamp_max: lambda input, max, out=None: -1,
        torch.column_stack: lambda tensors, out=None: -1,
        torch.cov: lambda input, correction=1, fweights=None, aweights=None: -1,
        torch.clone: lambda input: -1,
        torch.combinations: lambda input, r=2, with_replacement=False: -1,
        torch.complex: lambda real, imag: -1,
        torch.copysign: lambda input, other, out=None: -1,
        torch.polar: lambda abs, ang: -1,
        torch.linalg.cond: lambda input, ord=None: -1,
        torch.conj: lambda input, out=None: -1,
        torch.conj_physical: lambda input, out=None: -1,
        torch.resolve_conj: lambda input, out=None: -1,
        torch.resolve_neg: lambda input, out=None: -1,
        torch.constant_pad_nd: lambda input, pad, value=0: -1,
        torch.conv1d: lambda input, weight, bias=None, stride=1, padding=0, dilation=1, groups=1: -1,
        torch.conv2d: lambda input, weight, bias=None, stride=1, padding=0, dilation=1, groups=1: -1,
        torch.conv3d: lambda input, weight, bias=None, stride=1, padding=0, dilation=1, groups=1: -1,
        torch.convolution: lambda input, weight, bias, stride, padding, dilation, transposed, output_adding, groups: -1,
        torch.conv_tbc: lambda input, weight, bias, pad=0: -1,
        torch.conv_transpose1d: lambda input, weight, bias=None, stride=1, padding=0, output_padding=0, groups=1, dilation=1: -1,
        torch.conv_transpose2d: lambda input, weight, bias=None, stride=1, padding=0, output_padding=0, groups=1, dilation=1: -1,
        torch.conv_transpose3d: lambda input, weight, bias=None, stride=1, padding=0, output_padding=0, groups=1, dilation=1: -1,
        torch.corrcoef: lambda input: -1,
        torch.cos: lambda input, out=None: -1,
        torch.cosine_embedding_loss: lambda input1, input2, target, margin=0, size_average=None, reduce=None, reduction='mean': -1,
        torch.cosh: lambda input, out=None: -1,
        torch.cosine_similarity: lambda x1, x2, dim=1, eps=1e-8: -1,
        torch.count_nonzero: lambda input: -1,
        torch.cross: lambda input, other, dim=-1, out=None: -1,
        torch.ctc_loss: (lambda log_probs, targets, input_lengths, target_lengths, blank=0, reduction='mean',
                         zero_infinity=False: -1),
        torch.cummax: lambda input, dim, out=None: -1,
        torch.cummin: lambda input, dim, out=None: -1,
        torch.cumprod: lambda input, dim, out=None, dtype=None: -1,
        torch.cumsum: lambda input, dim, out=None, dtype=None: -1,
        torch.cumulative_trapezoid: lambda y, x=None, dim=-1: -1,
        torch.logcumsumexp: lambda input, dim, out=None: -1,
        torch.deg2rad: lambda input, out=None: -1,
        torch.dequantize: lambda input: -1,
        torch.det: lambda input: -1,
        torch.linalg.det: lambda input: -1,  # alias for torch.det  # type: ignore[attr-defined]
        torch.detach: lambda input: -1,
        torch.diag: lambda input, diagonal=0, out=None: -1,
        torch.diag_embed: lambda input, diagonal=0, out=None: -1,
        torch.diagflat: lambda input, offset=0: -1,
        torch.diff: lambda input, n=1, dim=-1, prepend=None, append=None, out=None: -1,
        torch.diagonal: lambda input, offset=0, dim1=0, dim2=1: -1,
        torch.digamma: lambda input, out=None: -1,
        torch.dist: lambda input, other, p=2: -1,
        torch.div: lambda input, other, rounding_mode=None, out=None: -1,
        torch.divide: lambda input, other, rounding_mode=None, out=None: -1,
        torch.dot: lambda input, other, out=None: -1,
        torch.dropout: lambda input, p, train, inplace=False: -1,
        torch.dsmm: lambda input, mat2: -1,
        torch.hsmm: lambda mat1, mat2: -1,
        torch.dsplit: lambda input, indices_or_sections: -1,
        torch.dstack: lambda tensors, out=None: -1,
        torch.eig: lambda input, eigenvectors=False, out=None: -1,
        torch.linalg.eig: lambda input, out=None: -1,
        torch.linalg.eigvals: lambda input, out=None: -1,
        torch.linalg.eigh: lambda input, UPLO="L", out=None: -1,
        torch.linalg.eigvalsh: lambda input, UPLO="L", out=None: -1,
        torch.einsum: lambda equation, *operands: -1,
        torch.embedding: (lambda input, weight, padding_idx=None, max_norm=None, norm_type=2.0, scale_grad_by_freq=False,
                          sparse=False: -1),
        torch.embedding_bag: (lambda input, weight, offsets, max_norm=None, norm_type=2, scale_grad_by_freq=False,
                              mode='mean', sparse=False, per_sample_weights=None, padding_idx=None: -1),
        torch.empty_like: lambda input, dtype=None, layout=None, device=None, requires_grad=False: -1,
        torch.eq: lambda input, other, out=None: -1,
        torch.equal: lambda input, other: -1,
        torch.erf: lambda input, out=None: -1,
        torch.erfc: lambda input, out=None: -1,
        torch.erfinv: lambda input, out=None: -1,
        torch.exp: lambda input, out=None: -1,
        torch.exp2: lambda input, out=None: -1,
        torch.expm1: lambda input, out=None: -1,
        torch.fake_quantize_per_channel_affine: lambda input, scale, zero_point, axis, quant_min, quant_max: -1,
        torch.fake_quantize_per_tensor_affine: lambda input, scale, zero_point, quant_min, quant_max: -1,
        torch.fused_moving_avg_obs_fake_quant: (lambda x, observer_on, fake_quant_on, averaging_const, running_min,
                                                running_max, scale, zero_point, quant_min, quant_max, ch_axis,
                                                per_row_fake_quant=False, symmetric_quant=False: -1),
        torch.fbgemm_linear_fp16_weight: lambda input, packed_weight, bias: -1,
        torch.fbgemm_linear_fp16_weight_fp32_activation: lambda input, packed_weight, bias: -1,
        torch.fbgemm_linear_int8_weight: lambda input, weight, packed, col_offsets, weight_scale, weight_zero_point, bias: -1,
        torch.fbgemm_linear_int8_weight_fp32_activation: (lambda input, weight, packed, col_offsets, weight_scale,
                                                          weight_zero_point, bias: -1),
        torch.fbgemm_linear_quantize_weight: lambda input: -1,
        torch.fbgemm_pack_gemm_matrix_fp16: lambda input: -1,
        torch.fbgemm_pack_quantized_matrix: lambda input, a, b: -1,
        torch.feature_alpha_dropout: lambda input, p, train: -1,
        torch.feature_dropout: lambda input, p, train: -1,
        torch.fft.fft: lambda input, n=None, dim=-1, norm=None: -1,
        torch.fft.ifft: lambda input, n=None, dim=-1, norm=None: -1,
        torch.fft.rfft: lambda input, n=None, dim=-1, norm=None: -1,
        torch.fft.irfft: lambda input, n=None, dim=-1, norm=None: -1,
        torch.fft.hfft: lambda input, n=None, dim=-1, norm=None: -1,
        torch.fft.ihfft: lambda input, n=None, dim=-1, norm=None: -1,
        torch.fft.fftn: lambda input, s=None, dim=None, norm=None: -1,
        torch.fft.ifftn: lambda input, s=None, dim=None, norm=None: -1,
        torch.fft.rfftn: lambda input, s=None, dim=None, norm=None: -1,
        torch.fft.irfftn: lambda input, s=None, dim=None, norm=None: -1,
        torch.fft.fft2: lambda input, s=None, dim=(-2, -1), norm=None: -1,
        torch.fft.ifft2: lambda input, s=None, dim=(-2, -1), norm=None: -1,
        torch.fft.rfft2: lambda input, s=None, dim=(-2, -1), norm=None: -1,
        torch.fft.irfft2: lambda input, s=None, dim=(-2, -1), norm=None: -1,
        torch.fft.fftshift: lambda input, dim=None: -1,
        torch.fft.ifftshift: lambda input, dim=None: -1,
        torch.fft.fft: lambda input, n=None, dim=-1, norm=None: -1,
        torch.fix: lambda input, out=None: -1,
        torch.flatten: lambda input, start_dim=0, end_dim=-1: -1,
        torch.flip: lambda input, dims: -1,
        torch.fliplr: lambda input: -1,
        torch.flipud: lambda input: -1,
        torch.frobenius_norm: lambda input, dim=None, keepdim=False, out=None: -1,
        torch.floor: lambda input, out=None: -1,
        torch.floor_divide: lambda input, other: -1,
        torch.float_power: lambda input, exponent, out=None: -1,
        torch.fmod: lambda input, other, out=None: -1,
        torch.frac: lambda input, out=None: -1,
        torch.frexp: lambda input, out=None: -1,
        torch.full_like: lambda input, fill_value, out=None, dtype=None, layout=torch.strided, device=None, requires_grad=False: -1,
        torch.lu_unpack: lambda LU_data, LU_pivots, unpack_data=True, unpack_pivots=True: -1,
        torch.gather: lambda input, dim, index, out=None, sparse_grad=False: -1,
        torch.gcd: lambda input, other, out=None: -1,
        torch.ge: lambda input, other, out=None: -1,
        torch.greater_equal: lambda input, other, out=None: -1,
        torch.geqrf: lambda input, out=None: -1,
        torch.i0: lambda input, out=None: -1,
        torch.inner: lambda input, other, out=None: -1,
        torch.outer: lambda input, vec2, out=None: -1,
        torch.ger: lambda input, vec2, out=None: -1,  # alias for torch.outer
        torch.gradient: lambda input, spacing=None, dim=None, edge_order=1: -1,
        torch.grid_sampler: lambda input, grid, interpolation_mode, padding_mode, align_corners: -1,
        torch.grid_sampler_2d: lambda input, grid, interpolation_mode, padding_mode, align_corners: -1,
        torch.grid_sampler_3d: lambda input, grid, interpolation_mode, padding_mode, align_corners: -1,
        torch.group_norm: lambda input, num_groups, weight=None, bias=None, eps=1e-05, cudnn_enabled=True: -1,
        torch.gru: lambda input, hx, params, has_biases, num_layers, gropout, train, bidirectional, batch_first: -1,
        torch.gru_cell: lambda input, hx, w_ih, w_hh, b_ih=None, b_hh=None: -1,
        torch.gt: lambda input, other, out=None: -1,
        torch.greater: lambda input, other, out=None: -1,
        torch.hardshrink: lambda input, lambd=0.5: -1,
        torch.heaviside: lambda input, values, out=None: -1,
        torch.hinge_embedding_loss: lambda input, target, margin=1.0, size_average=None, reduce=None, reduction='mean': -1,
        torch.histc: lambda input, bins=100, min=0, max=0, out=None: -1,
        torch.histogram: lambda input, bins=100, min=None, max=None, weight=None, density=False, out=None: -1,
        torch.linalg.householder_product: lambda input, tau: -1,
        torch.hspmm: lambda mat1, mat2, out=None: -1,
        torch.hsplit: lambda input, indices_or_sections: -1,
        torch.hstack: lambda tensors, out=None: -1,
        torch.hypot: lambda input, other, out=None: -1,
        torch.igamma: lambda input, other, out=None: -1,
        torch.igammac: lambda input, other, out=None: -1,
        torch.imag: lambda input, out=None: -1,
        torch.index_add: lambda input, dim, index, source: -1,
        torch.index_copy: lambda input, dim, index, source: -1,
        torch.index_put: lambda input, indices, values, accumulate=False: -1,
        torch.index_select: lambda input, dim, index, out=None: -1,
        torch.index_fill: lambda input, dim, index, value: -1,
        torch.isfinite: lambda tensor: -1,
        torch.isin: lambda e, te, assume_unique=False, invert=False: -1,
        torch.isinf: lambda tensor: -1,
        torch.isreal: lambda tensor: -1,
        torch.isposinf: lambda input, out=None: -1,
        torch.isneginf: lambda input, out=None: -1,
        torch.instance_norm: (lambda input, running_mean, running_var, weight, bias, use_input_stats, momentum, eps,
                              cudnn_enabled: -1),
        torch.int_repr: lambda input: -1,
        torch.inverse: lambda input, out=None: -1,
        torch.linalg.inv: lambda input, out=None: -1,
        torch.linalg.inv_ex: lambda input, check_errors=False, out=None: -1,
        torch.is_complex: lambda input: -1,
        torch.is_conj: lambda input: -1,
        torch.is_neg: lambda input: -1,
        torch.is_distributed: lambda input: -1,
        torch.is_inference: lambda input: -1,
        torch.is_floating_point: lambda input: -1,
        torch.is_nonzero: lambda input: -1,
        torch.is_same_size: lambda input, other: -1,
        torch.is_signed: lambda input: -1,
        torch.isclose: lambda input, other, rtol=1e-05, atol=1e-08, equal_nan=False: -1,
        torch.isnan: lambda input: -1,
        torch.istft: (lambda input, n_fft, hop_length=None, win_length=None, window=None, center=True,
                      normalized=False, onesided=None, length=None, return_complex=False: -1),
        torch.kl_div: lambda input, target, size_average=None, reduce=None, reduction='mean', log_target=False: -1,
        torch.kron: lambda input, other: -1,
        torch.kthvalue: lambda input, k, dim=None, keepdim=False, out=None: -1,
        torch.layer_norm: lambda input, normalized_shape, weight=None, bias=None, esp=1e-05, cudnn_enabled=True: -1,
        torch.lcm: lambda input, other, out=None: -1,
        torch.ldexp: lambda input, other, out=None: -1,
        torch.le: lambda input, other, out=None: -1,
        torch.less_equal: lambda input, other, out=None: -1,
        torch.lerp: lambda input, end, weight, out=None: -1,
        torch.lgamma: lambda input, out=None: -1,
        torch.lobpcg: lambda input, k=None, B=None, X=None, n=None, iK=None, niter=None, tol=None, largest=None, method=None,
        tracker=None, ortho_iparams=None, ortho_fparams=None, ortho_bparams=None: -1,
        torch.log: lambda input, out=None: -1,
        torch.log_softmax: lambda input, dim, dtype=None: -1,
        torch.log10: lambda input, out=None: -1,
        torch.log1p: lambda input, out=None: -1,
        torch.log2: lambda input, out=None: -1,
        torch.logaddexp: lambda input, other, out=None: -1,
        torch.logaddexp2: lambda input, other, out=None: -1,
        torch.logdet: lambda input: -1,
        torch.xlogy: lambda x, y, out=None: -1,
        torch.logical_and: lambda input, other, out=None: -1,
        torch.logical_not: lambda input, out=None: -1,
        torch.logical_or: lambda input, other, out=None: -1,
        torch.logical_xor: lambda input, other, out=None: -1,
        torch.logsumexp: lambda input, names, keepdim=False, out=None: -1,
        torch.logit: lambda input, eps=None: -1,
        torch.logsumexp: lambda input, names, keepdim=False, out=None: -1,
        torch.lstm: lambda data, batch_sizes, hx, params, has_biases, num_layers, dropout, train, bidirectional: -1,
        torch.lstm_cell: lambda input, hx, w_ih, w_hh, b_ih=None, b_hh=None: -1,
        torch.lstsq: lambda input, A, out=None: -1,
        torch.lt: lambda input, other, out=None: -1,
        torch.less: lambda input, other, out=None: -1,
        torch.lu: lambda A, pivot=True, get_infos=False, out=None: -1,
        torch.lu_solve: lambda b, LU_data, LU_pivots, out=None: -1,
        torch.margin_ranking_loss: lambda input1, input2, target, margin=0, size_average=None, reduce=None, reduction='mean': -1,  # type: ignore[attr-defined]  # noqa: B950
        torch.masked_fill: lambda input, mask, value: -1,
        torch.masked_scatter: lambda input, mask, source: -1,
        torch.masked_select: lambda input, mask, out=None: -1,
        torch.matmul: lambda input, other, out=None: -1,
        torch.matrix_power: lambda input, n: -1,
        torch.linalg.matrix_power: lambda input, n, out=None: -1,
        torch.matrix_rank: lambda input, tol=None, symmetric=False: -1,
        torch.linalg.matrix_rank: lambda input, tol=None, hermitian=False: -1,
        torch.linalg.multi_dot: lambda tensors, out=None: -1,
        torch.matrix_exp: lambda input: -1,
        torch.max: lambda input, out=None: -1,
        torch.maximum: lambda input, other, out=None: -1,
        torch.fmax: lambda input, other, out=None: -1,
        torch.max_pool1d: lambda input, kernel_size, stride=None, padding=0, dilation=1, ceil_mode=False: -1,
        torch.max_pool2d: lambda input, kernel_size, stride=None, padding=0, dilation=1, ceil_mode=False: -1,
        torch.max_pool3d: lambda input, kernel_size, stride=None, padding=0, dilation=1, ceil_mode=False: -1,
        torch.max_pool1d_with_indices: (lambda input, kernel_size, stride=None, padding=0, dilation=1,
                                        return_indices=False, ceil_mode=False: -1),
        torch.mean: lambda input, dim=None: -1,
        torch.median: lambda input, dim=None: -1,
        torch.nanmedian: lambda input, dim=None: -1,
        torch.meshgrid: lambda *tensors, **kwargs: -1,
        torch.min: lambda input, out=None: -1,
        torch.minimum: lambda input, other, out=None: -1,
        torch.fmin: lambda input, other, out=None: -1,
        torch.miopen_batch_norm: (lambda input, weight, bias, running_mean, running_var, training,
                                  exponential_average_factor, epsilon: -1),
        torch.miopen_convolution: lambda input, weight, bias, padding, stride, dilation, groups, benchmark, deterministic: -1,
        torch.miopen_convolution_transpose: (lambda input, weight, bias, padding, output_padding, stride, dilation,
                                             groups, benchmark, deterministic: -1),
        torch.miopen_depthwise_convolution: (lambda input, weight, bias, padding, stride, dilation, groups, benchmark,
                                             deterministic: -1),
        torch.miopen_rnn: (lambda input, weight, weight_stride0, hx, cx, mode, hidden_size, num_layers, batch_first,
                           dropout, train, bidirectional, batch_sizes, dropout_state: -1),
        torch.mm: lambda input, mat2, out=None: -1,
        torch.mode: lambda input, dim=-1, keepdim=False, out=None: -1,
        torch.movedim: lambda input, source, destination: -1,
        torch.moveaxis: lambda input, source, destination: -1,
        torch.msort: lambda input, descending=False, out=None: -1,
        torch.mul: lambda input, other, out=None: -1,
        torch.multiply: lambda input, other, out=None: -1,
        torch.multinomial: lambda input, num_samples, replacement=False, out=None: -1,
        torch.mv: lambda input, vec, out=None: -1,
        torch.mvlgamma: lambda input, p: -1,
        torch.narrow: lambda input, dim, start, length: -1,
        torch.narrow_copy: lambda input, dim, start, length: -1,
        torch.nan_to_num: lambda input, nan=0.0, posinf=None, neginf=None, out=None: -1,
        torch.native_batch_norm: lambda input, weight, bias, running_mean, running_var, training, momentum, eps: -1,
        torch.native_layer_norm: lambda input, normalized_shape, weight=None, bias=None, eps=1e-05: -1,
        torch.native_group_norm: lambda input, weight, bias, N, C, HxW, group, eps: -1,
        torch.native_norm: lambda input, p=2: -1,
        torch.native_norm: lambda input, p=2: -1,
        torch.native_norm: lambda input, p=2, dim=None, keepdim=False, dtype=None: -1,
        torch.ne: lambda input, other, out=None: -1,
        torch.not_equal: lambda input, other, out=None: -1,
        torch.neg: lambda input, out=None: -1,
        torch.negative: lambda input, out=None: -1,
        torch.nextafter: lambda input, other, out=None: -1,
        torch.nn.functional.adaptive_avg_pool2d: lambda input, output_size: -1,
        torch.nn.functional.adaptive_avg_pool3d: lambda input, output_size: -1,
        torch.nn.functional.adaptive_max_pool1d: lambda input, output_size, return_indices=False: -1,
        torch.nn.functional.adaptive_max_pool1d_with_indices: lambda input, output_size, return_indices=False: -1,
        torch.nn.functional.adaptive_max_pool2d: lambda input, output_size, return_indices=False: -1,
        torch.nn.functional.adaptive_max_pool2d_with_indices: lambda input, output_size, return_indices=False: -1,
        torch.nn.functional.adaptive_max_pool3d: lambda input, output_size, return_indices=False: -1,
        torch.nn.functional.adaptive_max_pool3d_with_indices: lambda input, output_size, return_indices=False: -1,
        torch.nn.functional.affine_grid: lambda theta, size, align_corners=None: -1,
        torch.nn.functional.alpha_dropout: lambda input, p=0.5, training=False, inplace=False: -1,
        torch.nn.functional.avg_pool2d: (lambda input, kernel_size, stride=None, padding=0, ceil_mode=False,
                                         count_include_pad=True, divisor_override=None: -1),
        torch.nn.functional.avg_pool3d: (lambda input, kernel_size, stride=None, padding=0, ceil_mode=False,
                                         count_include_pad=True, divisor_override=None: -1),
        torch.nn.functional.batch_norm: (lambda input, running_mean, running_var, weight=None, bias=None, training=False,
                                         momentum=0.1, eps=1e-05: -1),
        torch.nn.functional.bilinear: lambda input1, input2, weight, bias=None: -1,
        torch.nn.functional.binary_cross_entropy: (lambda input, target, weight=None, size_average=None, reduce=None,
                                                   reduction="mean": -1),
        torch.nn.functional.binary_cross_entropy_with_logits: (lambda input, target, weight=None, size_average=None,
                                                               reduce=None, reduction="mean", pos_weight=None: -1),
        torch.nn.functional.celu: lambda input, alpha=1.0, inplace=False: -1,
        torch.nn.functional.cosine_embedding_loss: (lambda input1, input2, target, margin=0, size_average=None,
                                                    reduce=None, reduction='mean': -1),
        torch.nn.functional.cross_entropy: (lambda input, target, weight=None, size_average=None, ignore_index=-100,
                                            reduce=None, reduction="mean": -1),
        torch.nn.functional.ctc_loss: (lambda log_probs, targets, input_lengths, target_lengths, blank=0,
                                       reduction='mean', zero_infinity=False: -1),
        torch.nn.functional.dropout: lambda input, p=0.5, training=True, inplace=False: -1,
        torch.nn.functional.dropout2d: lambda input, p=0.5, training=True, inplace=False: -1,
        torch.nn.functional.dropout3d: lambda input, p=0.5, training=True, inplace=False: -1,
        torch.nn.functional.elu: lambda input, alpha=1.0, inplace=False: -1,
        torch.nn.functional.embedding: (lambda input, weight, padding_idx=None, max_norm=None, norm_type=2.0,
                                        scale_grad_by_freq=False, sparse=False: -1),
        torch.nn.functional.embedding_bag: (lambda input, weight, offsets=None, max_norm=None, norm_type=2,
                                            scale_grad_by_freq=False, mode='mean', sparse=False, per_sample_weights=None,
                                            include_last_offset=False, padding_idx=None: -1),
        torch.nn.functional.feature_alpha_dropout: lambda input, p=0.5, training=False, inplace=False: -1,
        torch.nn.functional.fold: lambda input, output_size, kernel_size, dilation=1, padding=0, stride=1: -1,
        torch.nn.functional.fractional_max_pool2d: (lambda input, kernel_size, output_size=None, output_ratio=None,
                                                    return_indices=False, _random_samples=None: -1),
        torch.nn.functional.fractional_max_pool2d_with_indices: (
            lambda input, kernel_size, output_size=None, output_ratio=None, return_indices=False,
            _random_samples=None: -1),
        torch.nn.functional.fractional_max_pool3d: (lambda input, kernel_size, output_size=None, output_ratio=None,
                                                    return_indices=False, _random_samples=None: -1),
        torch.nn.functional.fractional_max_pool3d_with_indices: (
            lambda input, kernel_size, output_size=None, output_ratio=None, return_indices=False,
            _random_samples=None: -1),
        torch.nn.functional.gaussian_nll_loss: lambda input, target, var, full=False, eps=1e-06, reduction='mean': -1,
        torch.nn.functional.gelu: lambda input: -1,
        torch.nn.functional.glu: lambda input, dim=-1: -1,
        torch.nn.functional.grid_sample: lambda input, grid, mode='bilinear', padding_mode='zeros', align_corners=None: -1,
        torch.nn.functional.group_norm: lambda input, num_groups, weight=None, bias=None, eps=1e-05: -1,
        torch.nn.functional.gumbel_softmax: lambda logits, tau=1, hard=False, eps=1e-10, dim=-1: -1,
        torch.nn.functional.hardshrink: lambda input, lambd=0.5: -1,
        torch.nn.functional.hardtanh: lambda input, min_val=-1., max_val=1., inplace=False: -1,
        torch.nn.functional.hinge_embedding_loss: (lambda input, target, margin=1.0, size_average=None, reduce=None,
                                                   reduction='mean': -1),
        torch.nn.functional.instance_norm: (lambda input, running_mean=None, running_var=None, weight=None, bias=None,
                                            use_input_stats=True, momentum=0.1, eps=1e-05: -1),
        torch.nn.functional.interpolate: (lambda input, size=None, scale_factor=None, mode='nearest', align_corners=None,
                                          recompute_scale_factor=None: -1),
        torch.nn.functional.kl_div: lambda input, target, size_average=None, reduce=None, reduction='mean', log_target=False: -1,
        torch.nn.functional.l1_loss: lambda input, target, size_average=None, reduce=None, reduction='mean': -1,
        torch.nn.functional.layer_norm: lambda input, normalized_shape, weight=None, bias=None, eps=1e-05: -1,
        torch.nn.functional.leaky_relu: lambda input, negative_slope=0.01, inplace=False: -1,
        torch.nn.functional.linear: lambda input, weight, bias=None: -1,
        torch.nn.functional.local_response_norm: lambda input, size, alpha=0.0001, beta=0.75, k=1.0: -1,
        torch.nn.functional.log_softmax: lambda input, dim=None, _stacklevel=3, dtype=None: -1,
        torch.nn.functional.logsigmoid: lambda input: -1,
        torch.nn.functional.lp_pool1d: lambda input, norm_type, kernel_size, stride=None, ceil_mode=False: -1,
        torch.nn.functional.lp_pool2d: lambda input, norm_type, kernel_size, stride=None, ceil_mode=False: -1,
        torch.nn.functional.margin_ranking_loss: (lambda input1, input2, target, margin=0, size_average=None,
                                                  reduce=None, reduction='mean': -1),
        torch.nn.functional.max_pool1d: (lambda input, kernel_size, stride=None, padding=0, dilation=1,
                                         ceil_mode=False, return_indices=False: -1),
        torch.nn.functional.max_pool1d_with_indices: (lambda input, kernel_size, stride=None, padding=0, dilation=1,
                                                      return_indices=False, ceil_mode=False: -1),
        torch.nn.functional.max_pool2d: (lambda input, kernel_size, stride=None, padding=0, dilation=1,
                                         ceil_mode=False, return_indices=False: -1),
        torch.nn.functional.max_pool2d_with_indices: (lambda input, kernel_size, stride=None, padding=0, dilation=1,
                                                      return_indices=False, ceil_mode=False: -1),
        torch.nn.functional.max_pool3d: (lambda input, kernel_size, stride=None, padding=0, dilation=1,
                                         return_indices=False, ceil_mode=False: -1),
        torch.nn.functional.max_pool3d_with_indices: (lambda input, kernel_size, stride=None, padding=0, dilation=1,
                                                      return_indices=False, ceil_mode=False: -1),
        torch.nn.functional.max_unpool1d: lambda input, indices, kernel_size, stride=None, padding=0, output_size=None: -1,
        torch.nn.functional.max_unpool2d: lambda input, indices, kernel_size, stride=None, padding=0, output_size=None: -1,
        torch.nn.functional.max_unpool3d: lambda input, indices, kernel_size, stride=None, padding=0, output_size=None: -1,
        torch.nn.functional.mse_loss: lambda input, target, size_average=None, reduce=None, reduction='mean': -1,
        torch.nn.functional.multi_head_attention_forward: (
            lambda query, key, value, embed_dim_to_check, num_heads, in_proj_weight, in_proj_bias, bias_k, bias_v,
            add_zero_attn, dropout_p, out_proj_weight, out_proj_bias, training=True, key_padding_mask=None,
            need_weights=True, attn_mask=None, use_separate_proj_weight=False, q_proj_weight=None, k_proj_weight=None,
            v_proj_weight=None, static_k=None, static_v=None: -1),
        torch.nn.functional.multi_margin_loss: (lambda input, target, p=1, margin=1.0, weight=None, size_average=None,
                                                reduce=None, reduction='mean': -1),
        torch.nn.functional.multilabel_margin_loss: (lambda input, target, size_average=None, reduce=None,
                                                     reduction='mean': -1),
        torch.nn.functional.multilabel_soft_margin_loss: (lambda input, target, weight=None, size_average=None,
                                                          reduce=None, reduction='mean': -1),
        torch.nn.functional.nll_loss: (lambda input, target, weight=None, size_average=None, ignore_index=-100,
                                       reduce=None, reduction='mean': -1),
        torch.nn.functional.normalize: lambda input, p=2, dim=1, eps=1e-12, out=None: -1,
        torch.nn.functional.one_hot: lambda tensor, num_classes=-1: -1,
        torch.nn.functional.pad: lambda input, pad, mode='constant', value=0: -1,
        torch.nn.functional.pairwise_distance: lambda x1, x2, p=2.0, eps=1e-06, keepdim=False: -1,
        torch.nn.functional.poisson_nll_loss: (lambda input, target, log_input=True, full=False, size_average=None,
                                               eps=1e-08, reduce=None, reduction='mean': -1),
        torch.nn.functional.prelu: lambda input, weight: -1,
        torch.nn.functional.relu: lambda input, inplace=False: -1,
        torch.nn.functional.relu6: lambda input, inplace=False: -1,
        torch.nn.functional.rrelu: lambda input, lower=0.125, upper=0.3333333333333333, training=False, inplace=False: -1,
        torch.nn.functional.selu: lambda input, inplace=False: -1,
        torch.nn.functional.silu: lambda input, inplace=False: -1,
        torch.nn.functional.mish: lambda input, inplace=False: -1,
        torch.nn.functional.smooth_l1_loss: lambda input, target, size_average=None, reduce=None, reduction='mean', beta=1.: -1,
        torch.nn.functional.huber_loss: lambda input, target, reduction='mean', delta=1.: -1,
        torch.nn.functional.soft_margin_loss: lambda input, target, size_average=None, reduce=None, reduction='mean': -1,
        torch.nn.functional.softmax: lambda input, dim=None, _stacklevel=3, dtype=None: -1,
        torch.nn.functional.softmin: lambda input, dim=None, _stacklevel=3, dtype=None: -1,
        torch.nn.functional.softplus: lambda input, beta=1, threshold=20: -1,
        torch.nn.functional.softshrink: lambda input, lambd=0.5: -1,
        torch.nn.functional.softsign: lambda input: -1,
        torch.nn.functional.tanhshrink: lambda input: -1,
        torch.nn.functional.threshold: lambda input, threshold, value, inplace=False: -1,
        torch.nn.functional.triplet_margin_loss: (lambda anchor, positive, negative, margin=1.0, p=2, eps=1e-06,
                                                  swap=False, size_average=None, reduce=None, reduction='mean': -1),
        torch.nn.functional.triplet_margin_with_distance_loss: (lambda anchor, positive, negative, *,
                                                                distance_function=None, margin=1.0,
                                                                swap=False, reduction='mean': -1),
        torch.nn.functional.unfold: lambda input, kernel_size, dilation=1, padding=0, stride=1: -1,
        torch.nonzero: lambda input, as_tuple=False: -1,
        torch.norm: lambda input, p='fro', dim=None, keepdim=False, out=None, dtype=None: -1,
        torch.linalg.norm: lambda input, ord=None, dim=None, keepdim=False, out=None, dtype=None: -1,
        torch.linalg.vector_norm: lambda input, ord=2, dim=None, keepdim=False, out=None, dtype=None: -1,
        torch.linalg.matrix_norm: lambda input, ord='fro', dim=(-2, -1), keepdim=False, out=None, dtype=None: -1,
        torch.norm_except_dim: lambda v, pow=2, dim=0: -1,
        torch.nuclear_norm: lambda input, p='fro', dim=None, keepdim=False, out=None, dtype=None: -1,
        torch.numel: lambda input: -1,
        torch.orgqr: lambda input, tau: -1,
        torch.ormqr: lambda input, input2, input3, left=True, transpose=False: -1,
        torch.pairwise_distance: lambda x1, x2, p=2.0, eps=1e-06, keepdim=False: -1,
        torch.permute: lambda self, dim: -1,
        torch.pca_lowrank: lambda input, q=None, center=True, niter=2: -1,
        torch.pdist: lambda input, p=2: -1,
        torch.pinverse: lambda input, rcond=1e-15: -1,
        torch.linalg.pinv: lambda input, rcond=1e-15, hermitian=False: -1,
        torch.pixel_shuffle: lambda input, upscale_factor: -1,
        torch.pixel_unshuffle: lambda input, downscale_factor: -1,
        torch.poisson: lambda input, generator=None: -1,
        torch.poisson_nll_loss: lambda input, target, log_input, full, eps, reduction: -1,
        torch.polygamma: lambda input, n, out=None: -1,
        torch.positive: lambda input, out=None: -1,
        torch.prelu: lambda input, weight: -1,
        torch.ones_like: lambda input, dtype=None, layout=None, device=None, requires_grad=False: -1,
        torch.pow: lambda input, exponent, out=None: -1,
        torch.prod: lambda input, dtype=None: -1,
        torch.put: lambda input, index, source, accumulate=False: -1,
        torch.q_per_channel_axis: lambda input: -1,
        torch.q_per_channel_scales: lambda input: -1,
        torch.q_per_channel_zero_points: lambda input: -1,
        torch.q_scale: lambda input: -1,
        torch.q_zero_point: lambda input: -1,
        torch.qr: lambda input, some=True, out=None: -1,
        torch.linalg.qr: lambda input, mode='reduced', out=None: -1,
        torch.quantile: lambda input, q, dim=None, keepdim=False, out=None: -1,
        torch.nanquantile: lambda input, q, dim=None, keepdim=False, out=None: -1,
        torch.quantize_per_channel: lambda input, scales, zero_points, axis, dtype: -1,
        torch.quantize_per_tensor: lambda input, scale, zero_point, dtype: -1,
        torch.quantized_batch_norm: lambda input, weight, bias, mean, var, eps, output_scale, output_zero_point: -1,
        torch.quantized_gru_cell: (lambda input, hx, w_ih, w_hh, b_ih, b_hh, packed_ih, packed_hh, col_offsets_ih,
                                   col_offsets_hh, scale_ih, scale_hh, zero_point_ih, zero_point_hh: -1),

        torch.quantized_lstm_cell: (lambda input, hx, w_ih, w_hh, b_ih, b_hh, packed_ih, packed_hh, col_offsets_ih,
                                    col_offsets_hh, scale_ih, scale_hh, zero_point_ih, zero_point_hh: -1),
        torch.quantized_max_pool1d: (lambda input, kernel_size, stride=tuple(), padding=(0,),
                                     dilation=(1,), ceil_mode=False: -1),
        torch.quantized_max_pool2d: (lambda input, kernel_size, stride=tuple(), padding=(0, 0),
                                     dilation=(1, 1), ceil_mode=False: -1),
        torch.quantized_rnn_relu_cell: (lambda input, hx, w_ih, w_hh, b_ih, b_hh, packed_ih, packed_hh, col_offsets_ih,
                                        col_offsets_hh, scale_ih, scale_hh, zero_point_ih, zero_point_hh: -1),
        torch.quantized_rnn_tanh_cell: (lambda input, hx, w_ih, w_hh, b_ih, b_hh, packed_ih, packed_hh, col_offsets_ih,
                                        col_offsets_hh, scale_ih, scale_hh, zero_point_ih, zero_point_hh: -1),
        torch.rad2deg: lambda input, out=None: -1,
        torch.rand_like: lambda input, dtype=None, layout=None, device=None, requires_grad=False: -1,
        torch.randint_like: lambda input, high, dtype=None, layout=torch.strided, device=None, requires_grad=False: -1,
        torch.randn_like: lambda input, dtype=None, layout=None, device=None, requires_grad=False: -1,
        torch.ravel: lambda input: -1,
        torch.real: lambda input, out=None: -1,
        torch.vdot: lambda input, other, out=None: -1,
        torch.view_as_real: lambda input: -1,
        torch.view_as_complex: lambda input: -1,
        torch.reciprocal: lambda input, out=None: -1,
        torch.relu: lambda input, inplace=False: -1,
        torch.remainder: lambda input, other, out=None: -1,
        torch.renorm: lambda input, p, dim, maxnorm, out=None: -1,
        torch.repeat_interleave: lambda input, dim=None: -1,
        torch.reshape: lambda input, shape: -1,
        torch.rnn_relu: lambda input, hx, params, has_biases, num_layers, dropout, train, bidirectional, batch_first: -1,
        torch.rnn_relu_cell: lambda input, hx, w_ih, w_hh, b_ih=None, b_hh=None: -1,
        torch.rnn_tanh: lambda input, hx, params, has_biases, num_layers, dropout, train, bidirectional, batch_first: -1,
        torch.rnn_tanh_cell: lambda input, hx, w_ih, w_hh, b_ih=None, b_hh=None: -1,
        torch.roll: lambda input, shifts, dims=None: -1,
        torch.rot90: lambda input, k=1, dims=(0, 1): -1,
        torch.round: lambda input, out=None: -1,
        torch.row_stack: lambda tensors, out=None: -1,  # alias for torch.vstack
        torch._rowwise_prune: (lambda weight, mask, compressed_indices_dtype: -1),
        torch.rrelu: lambda input, lower=1. / 8, upper=1. / 3, training=False, inplace=False: -1,
        torch.rsqrt: lambda input, out=None: -1,
        torch.rsub: lambda input, other, alpha=1: -1,
        torch.saddmm: lambda input, mat1, mat2, beta=1, alpha=1, out=None: -1,
        torch.scatter: lambda input, dim, index, src: -1,
        torch.scatter_add: lambda input, dim, index, src: -1,
        torch.searchsorted: lambda sorted_sequence, input, out_int32=False, right=False, out=None: -1,
        torch.segment_reduce: lambda data, reduce="max", lengths=None, indices=None, axis=0, unsafe=False: -1,
        torch.select: lambda input, dim, index: -1,
        torch.selu: lambda input, inplace=False: -1,
        torch.sigmoid: lambda input, out=None: -1,
        torch.sign: lambda input, out=None: -1,
        torch.signbit: lambda input, out=None: -1,
        torch.sgn: lambda input, out=None: -1,
        torch.sin: lambda input, out=None: -1,
        torch.sinc: lambda input, out=None: -1,
        torch.sinh: lambda input, out=None: -1,
        torch.slogdet: lambda input: -1,
        torch.linalg.slogdet: lambda input: -1,
        torch.smm: lambda input, mat2: -1,
        torch.spmm: lambda input, mat2: -1,
        torch.softmax: lambda input, dim, dtype=None: -1,
        torch.solve: lambda input, A, out=None: -1,
        torch.linalg.solve: lambda input, other, out=None: -1,
        torch.sort: lambda input, dim=-1, descending=False, *, stable=False, out=None: -1,
        torch.split: lambda tensor, split_size_or_sections, dim=0: -1,
        torch.split_with_sizes: lambda tensor, split_size_or_sections, dim=0: -1,
        torch.sqrt: lambda input, out=None: -1,
        torch.square: lambda input, out=None: -1,
        torch.squeeze: lambda input, dim=None, out=None: -1,
        torch.sspaddmm: lambda input, mat1, mat2, beta=1, alpha=1, out=None: -1,
        torch.stack: lambda tensors, dim=0, out=None: -1,
        torch.std: lambda input, dim=None: -1,
        torch.std_mean: lambda input, dim=None: -1,
        torch.stft: (lambda input, n_fft, hop_length=None, win_length=None, window=None, center=True,
                     pad_mode='reflect', normalized=False, onesided=True, return_complex=None: -1),
        torch.sub: lambda input, other, out=None: -1,
        torch.subtract: lambda input, other, out=None: -1,
        torch.sum: lambda input, dim=None: -1,
        torch.nansum: lambda input, dim=None: -1,
        torch.svd: lambda input, some=True, compute_uv=True, out=None: -1,
        torch.svd_lowrank: lambda input, q=6, niter=2, M=None: -1,
        torch.linalg.svd: lambda input, full_matrices=True, out=None: -1,
        torch.linalg.svdvals: lambda input, out=None: -1,
        torch.symeig: lambda input, eigenvectors=False, upper=True, out=None: -1,
        torch.swapaxes: lambda input, dim0, dim1: -1,
        torch.swapdims: lambda input, axis0, axis1: -1,
        torch.special.entr: lambda input: -1,
        torch.special.erf: lambda input: -1,
        torch.special.erfc: lambda input: -1,
        torch.special.erfcx: lambda input: -1,
        torch.special.erfinv: lambda input: -1,
        torch.special.exp2: lambda input: -1,
        torch.special.expm1: lambda input: -1,
        torch.special.expit: lambda input: -1,
        torch.special.polygamma: lambda input, n, out=None: -1,
        torch.special.digamma: lambda input: -1,
        torch.special.psi: lambda input: -1,
        torch.special.gammaln: lambda input: -1,
        torch.special.i0: lambda input: -1,
        torch.special.i0e: lambda input: -1,
        torch.special.i1: lambda input: -1,
        torch.special.i1e: lambda input: -1,
        torch.special.logit: lambda input: -1,
        torch.special.logsumexp: lambda input, dim, keepdim=False, out=None: -1,
        torch.special.log1p: lambda input: -1,
        torch.special.log_softmax: lambda input, dim, dtype=None: -1,
        torch.special.round: lambda input: -1,
        torch.special.sinc: lambda input: -1,
        torch.special.multigammaln: lambda input, p: -1,
        torch.special.ndtri: lambda input: -1,
        torch.special.ndtr: lambda input: -1,
        torch.special.xlogy: lambda input, other, out=None: -1,
        torch.special.xlog1py: lambda input, other, out=None: -1,
        torch.special.zeta: lambda self, other, out=None: -1,
        torch.t: lambda input: -1,
        torch.take: lambda input, index: -1,
        torch.take_along_dim: lambda input, indices, dim=None, out=None: -1,
        torch.tan: lambda input, out=None: -1,
        torch.tanh: lambda input, out=None: -1,
        torch.linalg.tensorinv: lambda a, ind=2: -1,
        torch.linalg.tensorsolve: lambda a, b, dims=None: -1,
        torch.tensordot: lambda a, b, dims=2, out=None: -1,
        torch.tensor_split: lambda input, indices_or_sections, dim=0: -1,
        torch.threshold: lambda input, threshold, value, inplace=False: -1,
        torch.tile: lambda input, dims: -1,
        torch.topk: lambda input, k, dim=-1, descending=False, out=None: -1,
        torch.trace: lambda input: -1,
        torch.transpose: lambda input, dim0, dim1: -1,
        torch.trapz: lambda y, x=None, dim=-1: -1,
        torch.trapezoid: lambda y, x=None, dim=-1: -1,
        torch.triangular_solve: lambda input, A, upper=True, transpose=False, unitriangular=False: -1,
        torch.tril: lambda input, diagonal=0, out=None: -1,
        torch.triplet_margin_loss: (lambda anchor, positive, negative, margin=1.0, p=2, eps=1e-06, swap=False,

                                    size_average=None, reduce=None, reduction='mean': -1),
        torch.triu: lambda input, diagonal=0, out=None: -1,
        torch.true_divide: lambda input, other: -1,
        torch.trunc: lambda input, out=None: -1,
        torch.unbind: lambda input, dim=0: -1,
        torch.unique: lambda input, sorted=True, return_inverse=False, return_counts=False, dim=None: -1,
        torch.unique_consecutive: lambda input, return_inverse=False, return_counts=False, dim=None: -1,
        torch.unsafe_chunk: lambda input, chunks, dim=0: -1,
        torch.unsafe_split: lambda tensor, split_size_or_sections, dim=0: -1,
        torch.unsafe_split_with_sizes: lambda tensor, split_size_or_sections, dim=0: -1,
        torch.unsqueeze: lambda input, dim, out=None: -1,
        torch.var: lambda input, dim=None: -1,
        torch.var_mean: lambda input, dim=None: -1,
        torch.vsplit: lambda input, indices_or_sections: -1,
        torch.vstack: lambda tensors, out=None: -1,
        torch.where: lambda condition, x=None, y=None: -1,
        torch.zeros_like: lambda input, dtype=None, layout=None, device=None, requires_grad=False: -1,
        Tensor.__floordiv__: lambda self, other: -1,
        Tensor.__rfloordiv__: lambda self, other: -1,
        Tensor.__ifloordiv__: lambda self, other: -1,
        Tensor.__truediv__: lambda self, other: -1,
        Tensor.__rtruediv__: lambda self, other: -1,
        Tensor.__itruediv__: lambda self, other: -1,
        Tensor.__lshift__: lambda self, other: -1,
        Tensor.__rlshift__: lambda self, other: -1,
        Tensor.__ilshift__: lambda self, other: -1,
        Tensor.__rshift__: lambda self, other: -1,
        Tensor.__rrshift__: lambda self, other: -1,
        Tensor.__irshift__: lambda self, other: -1,
        Tensor.__and__: lambda self, other: -1,
        Tensor.__or__: lambda self, other: -1,
        Tensor.__xor__: lambda self, other: -1,
        Tensor.__float__: lambda self: -1,
        Tensor.__complex__: lambda self: -1,
        Tensor.__array__: lambda self, dtype: -1,
        Tensor.__bool__: lambda self: -1,
        Tensor.__contains__: lambda self, other: -1,
        Tensor.__neg__: lambda self: -1,
        Tensor.__invert__: lambda self: -1,
        Tensor.__mod__: lambda self, other: -1,
        Tensor.__rmod__: lambda self, other: -1,
        Tensor.__imod__: lambda self, other: -1,
        Tensor.__array_wrap__: lambda self, array: -1,
        Tensor.__getitem__: lambda self, idx: -1,
        Tensor.__deepcopy__: lambda self, memo: -1,
        Tensor.__int__: lambda self: -1,
        Tensor.__long__: lambda self: -1,
        Tensor.__hash__: lambda self: -1,
        Tensor.__index__: lambda self: -1,
        Tensor.__len__: lambda self: -1,
        Tensor.__format__: lambda self, format_spec: -1,
        Tensor.__reduce_ex__: lambda self, proto: -1,
        Tensor.__reversed__: lambda self: -1,
        Tensor.__repr__: lambda self: -1,
        Tensor.__setitem__: lambda self, k, v: -1,
        Tensor.__setstate__: lambda self, d: -1,
        Tensor.T.__get__: lambda self: -1,
        Tensor._backward_hooks.__get__: lambda self: -1,
        Tensor._base.__get__: lambda self: -1,
        Tensor._cdata.__get__: lambda self: -1,
        Tensor.grad.__get__: lambda self: -1,
        Tensor._grad.__get__: lambda self: -1,
        Tensor._grad_fn.__get__: lambda self: -1,
        Tensor.grad_fn.__get__: lambda self: -1,
        Tensor._version.__get__: lambda self: -1,
        Tensor.data.__get__: lambda self: -1,
        Tensor.device.__get__: lambda self: -1,
        Tensor.dtype.__get__: lambda self: -1,
        Tensor.is_cuda.__get__: lambda self: -1,
        Tensor.is_xpu.__get__: lambda self: -1,
        Tensor.is_leaf.__get__: lambda self: -1,
        Tensor.retains_grad.__get__: lambda self: -1,
        Tensor.is_meta.__get__: lambda self: -1,
        Tensor.is_mlc.__get__: lambda self: -1,
        Tensor.is_mkldnn.__get__: lambda self: -1,
        Tensor.is_quantized.__get__: lambda self: -1,
        Tensor.is_sparse.__get__: lambda self: -1,
        Tensor.is_sparse_csr.__get__: lambda self: -1,
        Tensor.is_vulkan.__get__: lambda self: -1,
        Tensor.layout.__get__: lambda self: -1,
        Tensor.name.__get__: lambda self: -1,
        Tensor.names.__get__: lambda self: -1,
        Tensor.ndim.__get__: lambda self: -1,
        Tensor.output_nr.__get__: lambda self: -1,
        Tensor.requires_grad.__get__: lambda self: -1,
        Tensor.shape.__get__: lambda self: -1,
        Tensor.volatile.__get__: lambda self: -1,
        Tensor.real.__get__: lambda self: -1,
        Tensor.imag.__get__: lambda self: -1,
        Tensor.__cuda_array_interface__.__get__: lambda self: -1,
        Tensor.type: lambda self, dtype=None, non_blocking=False, **kwargs: -1,
        Tensor._coalesced_: lambda self: -1,
        Tensor._dimI: lambda self: -1,
        Tensor._dimV: lambda self: -1,
        Tensor._indices: lambda self: -1,
        Tensor._is_view: lambda self: -1,
        Tensor._nnz: lambda self: -1,
        Tensor.crow_indices: lambda self: -1,
        Tensor.col_indices: lambda self: -1,
        Tensor._update_names: lambda self, names, inplace: -1,
        Tensor._values: lambda self: -1,
        Tensor.align_as: lambda self, other: -1,
        Tensor.align_to: lambda self, order, ellipsis_idx: -1,
        Tensor.apply_: lambda self, callable: -1,
        Tensor.as_strided: lambda self, size, stride: -1,
        Tensor.as_strided_: lambda self, size, stride: -1,
        Tensor.backward: lambda self, gradient=None, retain_graph=None, create_graph=False, inputs=None: -1,
        Tensor.bfloat16: lambda self, memory_format=torch.preserve_format: -1,
        Tensor.bool: lambda self, memory_format=torch.preserve_format: -1,
        Tensor.byte: lambda self, memory_format=torch.preserve_format: -1,
        Tensor.char: lambda self, memory_format=torch.preserve_format: -1,
        Tensor.cauchy_: lambda self, median=0, sigma=1, *, generator=None: -1,
        Tensor.coalesce: lambda self: -1,
        Tensor._coalesced_: lambda self, coalesced: -1,
        Tensor.contiguous: lambda self, memory_format=torch.contiguous_format: -1,
        Tensor.copy_: lambda self, src, non_blocking=False: -1,
        Tensor.cpu: lambda self, memory_format=torch.preserve_format: -1,
        Tensor.cuda: lambda self, memory_format=torch.preserve_format: -1,
        Tensor.xpu: lambda self, memory_format=torch.preserve_format: -1,
        Tensor.data_ptr: lambda self: -1,
        Tensor.dense_dim: lambda self: -1,
        Tensor.dim: lambda self: -1,
        Tensor.double: lambda self, memory_format=torch.preserve_format: -1,
        Tensor.cdouble: lambda self, memory_format=torch.preserve_format: -1,
        Tensor.element_size: lambda self: -1,
        Tensor.expand: lambda self, size: -1,
        Tensor.expand_as: lambda self, other: -1,
        Tensor.exponential_: lambda self, lambd=1, *, generator=None: -1,
        Tensor.fill_: lambda self, value: -1,
        Tensor.fill_diagonal_: lambda self, value: -1,
        Tensor.float: lambda self, memory_format=torch.preserve_format: -1,
        Tensor.cfloat: lambda self, memory_format=torch.preserve_format: -1,
        Tensor.geometric_: lambda self, p, *, generator=None: -1,
        Tensor.get_device: lambda self: -1,
        Tensor.half: lambda self, memory_format=torch.preserve_format: -1,
        Tensor.has_names: lambda self: -1,
        Tensor.indices: lambda self: -1,
        Tensor.int: lambda self, memory_format=torch.preserve_format: -1,
        Tensor.is_coalesced: lambda self: -1,
        Tensor.is_contiguous: lambda self: -1,
        Tensor.is_inference: lambda self: -1,
        Tensor.is_pinned: lambda self: -1,
        Tensor.is_set_to: lambda self, tensor: -1,
        Tensor.is_shared: lambda self: -1,
        Tensor.item: lambda self: -1,
        Tensor.log_normal_: lambda self, mean=1, std=2, *, generator=None: -1,
        Tensor.log_softmax: lambda self, dim: -1,
        Tensor.long: lambda self, memory_format=torch.preserve_format: -1,
        Tensor.map_: lambda self, tensor, callable: -1,
        Tensor.map2_: lambda self, x, y, callable: -1,
        Tensor.mm: lambda self, mat2: -1,
        Tensor.narrow_copy: lambda self, dimension, start, length: -1,
        Tensor.ndimension: lambda self: -1,
        Tensor.nelement: lambda self: -1,
        Tensor.normal_: lambda self: -1,
        Tensor.numpy: lambda self: -1,
        Tensor.permute: lambda self, dim: -1,
        Tensor.pin_memory: lambda self: -1,
        Tensor.put_: lambda self, indices, tensor, accumulate=False: -1,
        Tensor.qscheme: lambda self: -1,
        Tensor.random_: lambda self, from_=0, to=None, *, generator=None: -1,
        Tensor.record_stream: lambda self, stream: -1,
        Tensor.refine_names: lambda self, names: -1,
        Tensor.register_hook: lambda self, hook: -1,
        Tensor.rename: lambda self, name: -1,
        Tensor.repeat: lambda self, *size: -1,
        Tensor.requires_grad_: lambda self, requires_grad=True: -1,
        Tensor.reshape_as: lambda self, other: -1,
        Tensor.resize: lambda self, *size: -1,
        Tensor.resize_: lambda self, size: -1,
        Tensor.resize_as: lambda self, other: -1,
        Tensor.retain_grad: lambda self: -1,
        Tensor.set_: lambda self, source=None, storage_offset=0, size=None, stride=None: -1,
        Tensor.share_memory_: lambda self: -1,
        Tensor.short: lambda self, memory_format=torch.preserve_format: -1,
        Tensor.size: lambda self: -1,
        Tensor.sparse_dim: lambda self: -1,
        Tensor.sparse_mask: lambda self, mask: -1,
        Tensor.sparse_resize_: lambda self, size1, size2, dense_dim: -1,
        Tensor.sparse_resize_and_clear_: lambda self, size1, size2, dense_dim: -1,
        Tensor.sspaddmm: lambda self, mat1, mat2, beta=1, alpha=1, out=None: -1,
        Tensor.storage: lambda self: -1,
        Tensor.storage_offset: lambda self: -1,
        Tensor.storage_type: lambda self: -1,
        Tensor.sum_to_size: lambda self, size: -1,
        Tensor.tile: lambda self, *reps: -1,
        Tensor.to: lambda self, dtype, non_blocking=False, copy=False, memory_format=torch.preserve_format: -1,
        Tensor.to_dense: lambda self: -1,
        Tensor.to_sparse: lambda self: -1,
        Tensor.tolist: lambda self: -1,
        Tensor.to_mkldnn: lambda self: -1,
        Tensor.type_as: lambda self, other: -1,
        Tensor.unfold: lambda self, dimension, size, step: -1,
        Tensor.uniform_: lambda self, from_=0, to=1: -1,
        Tensor.values: lambda self: -1,
        Tensor.view: lambda self, shape: -1,
        Tensor.view_as: lambda self, other: -1,
        Tensor.zero_: lambda self: -1,
        torch.linalg.lstsq: lambda self, b, cond=None, driver=None: -1,
    }

    ret2 = {}
    ignored = get_ignored_functions()

    for k, v in ret.items():
        # Generate methods like __add__ and add_ by default from add
        names = [
            k.__name__,  # Default method
            k.__name__ + "_",  # Inplace variant
            "__" + k.__name__ + "__",  # Dunder method
            "__i" + k.__name__ + "__",  # Inplace dunder method
            "__r" + k.__name__ + "__",  # Reverse dunder method
        ]

        if k.__name__.startswith("bitwise_"):
            # bitwise_<op> have dunder methods of the form __<op>__
            # And so on.
            subname = k.__name__[len("bitwise_"):]
            names.extend([
                "__" + subname + "__",
                "__i" + subname + "__",
                "__r" + subname + "__"
            ])

        for name in names:
            func = getattr(Tensor, name, None)
            if callable(func) and func not in ret and func not in ignored:
                ret2[func] = v

    ret.update(ret2)
    return ret

def wrap_torch_function(dispatcher: Callable):
    """Wraps a given function with ``__torch_function__`` -related functionality.

    Parameters
    ----------
    dispatcher: Callable
        A callable that returns an iterable of Tensor-likes passed into the function.

    Note
    ----
    This decorator may reduce the performance of your code. Generally, it's enough to express
    your code as a series of functions that, themselves, support __torch_function__. If you
    find yourself in the rare situation where this is not the case, e.g. if you're wrapping a
    low-level library and you also need it to work for Tensor-likes, then this function is available.

    Examples
    --------
    >>> def dispatcher(a): # Must have the same signature as func
    ...     return (a,)
    >>> @torch.overrides.wrap_torch_function(dispatcher)
    >>> def func(a): # This will make func dispatchable by __torch_function__
    ...     return a + 0
    """
    def inner(func):
        @functools.wraps(func)
        def wrapped(*args, **kwargs):
            relevant_args = dispatcher(*args, **kwargs)
            if has_torch_function(relevant_args):
                return handle_torch_function(func, relevant_args, *args, **kwargs)

            return func(*args, **kwargs)

        return wrapped

    return inner

def _get_overloaded_args(relevant_args: Iterable[Any]) -> List[Any]:
    """Returns a list of arguments on which to call __torch_function__.

    Checks arguments in relevant_args for __torch_function__ implementations,
    storing references to the arguments and their types in overloaded_args and
    overloaded_types in order of calling precedence. Only distinct types are
    considered. If a type is a subclass of another type it will have higher
    precedence, otherwise the precedence order is the same as the order of
    arguments in relevant_args, that is, from left-to-right in the argument list.

    The precedence-determining algorithm implemented in this function is
    described in `NEP-0018`_.

    See torch::append_overloaded_arg for the equivalent function in the C++
    implementation.

    Parameters
    ----------
    relevant_args : iterable of array-like
        Iterable of array-like arguments to check for __torch_function__
        methods.

    Returns
    -------
    overloaded_args : list
        Arguments from relevant_args on which to call __torch_function__
        methods, in the order in which they should be called.

    .. _NEP-0018:
       https://numpy.org/neps/nep-0018-array-function-protocol.html
    """
    # Runtime is O(num_arguments * num_unique_types)
    overloaded_types: Set[Type] = set()
    overloaded_args: List[Any] = []
    for arg in relevant_args:
        arg_type = type(arg)
        # We only collect arguments if they have a unique type, which ensures
        # reasonable performance even with a long list of possibly overloaded
        # arguments.
        if (arg_type not in overloaded_types and hasattr(arg_type, '__torch_function__')):
            # Create lists explicitly for the first type (usually the only one
            # done) to avoid setting up the iterator for overloaded_args.
            if overloaded_types:
                overloaded_types.add(arg_type)
                # By default, insert argument at the end, but if it is
                # subclass of another argument, insert it before that argument.
                # This ensures "subclasses before superclasses".
                index = len(overloaded_args)
                for i, old_arg in enumerate(overloaded_args):
                    if issubclass(arg_type, type(old_arg)):
                        index = i
                        break
                overloaded_args.insert(index, arg)
            else:
                overloaded_types = {arg_type}
                overloaded_args = [arg]
    return overloaded_args


def handle_torch_function(
        public_api: Callable, relevant_args: Iterable[Any], *args, **kwargs) -> Any:
    """Implement a function with checks for ``__torch_function__`` overrides.

    See torch::autograd::handle_torch_function for the equivalent of this
    function in the C++ implementation.

    Arguments
    ---------
    public_api : function
        Function exposed by the public torch API originally called like
        ``public_api(*args, **kwargs)`` on which arguments are now being
        checked.
    relevant_args : iterable
        Iterable of arguments to check for __torch_function__ methods.
    args : tuple
        Arbitrary positional arguments originally passed into ``public_api``.
    kwargs : tuple
        Arbitrary keyword arguments originally passed into ``public_api``.

    Returns
    -------
    object
        Result from calling ``implementation`` or an ``__torch_function__``
        method, as appropriate.

    Raises
    ------
    TypeError : if no implementation is found.

    Example
    -------
    >>> def func(a):
    ...     if type(a) is not torch.Tensor:  # This will make func dispatchable by __torch_function__
    ...         return handle_torch_function(func, (a,), a)
    ...     return a + 0
    """
    # Check for __torch_function__ methods.
    overloaded_args = _get_overloaded_args(relevant_args)
    # overloaded_args already have unique types.
    types = tuple(map(type, overloaded_args))

    # Call overrides
    for overloaded_arg in overloaded_args:
        # Use `public_api` instead of `implementation` so __torch_function__
        # implementations can do equality/identity comparisons.
        result = overloaded_arg.__torch_function__(public_api, types, args, kwargs)

        if result is not NotImplemented:
            return result

    func_name = '{}.{}'.format(public_api.__module__, public_api.__name__)
    raise TypeError("no implementation found for '{}' on types that implement "
                    '__torch_function__: {}'
                    .format(func_name, [type(arg) for arg in overloaded_args]))

has_torch_function = _add_docstr(
    _has_torch_function,
    r"""Check for __torch_function__ implementations in the elements of an iterable.
    Considers exact ``Tensor`` s and ``Parameter`` s non-dispatchable.
    Arguments
    ---------
    relevant_args : iterable
        Iterable or aguments to check for __torch_function__ methods.
    Returns
    -------
    bool
        True if any of the elements of relevant_args have __torch_function__
        implementations, False otherwise.
    See Also
    ________
    torch.is_tensor_like
        Checks if something is a Tensor-like, including an exact ``Tensor``.
    """
)

has_torch_function_unary = _add_docstr(
    _has_torch_function_unary,
    r"""Special case of `has_torch_function` for single inputs.
    Instead of:
      `has_torch_function((t,))`
    call:
      `has_torch_function_unary(t)`
    which skips unnecessary packing and unpacking work.
    """
)

has_torch_function_variadic = _add_docstr(
    _has_torch_function_variadic,
    r"""Special case of `has_torch_function` that skips tuple creation.

    This uses the METH_FASTCALL protocol introduced in Python 3.7; for 3.6
    and before it has roughly equivilent performance compared to
    `has_torch_function`.

    Instead of:
      `has_torch_function((a, b))`
    call:
      `has_torch_function_variadic(a, b)`
    which skips unnecessary packing and unpacking work.
    """
)

@functools.lru_cache(None)
def get_overridable_functions() -> Dict[Any, List[Callable]]:
    """List functions that are overridable via __torch_function__

    Returns
    -------
    Dict[Any, List[Callable]]
        A dictionary that maps namespaces that contain overridable functions
        to functions in that namespace that can be overridden.
    """
    overridable_funcs = collections.defaultdict(list)
    tested_namespaces = [
        (torch, torch.__all__ + dir(torch._C._VariableFunctions)),
        (torch.functional, torch.functional.__all__),
        (torch.nn.functional, dir(torch.nn.functional)),
        (torch.Tensor, dir(torch.Tensor)),
        (torch.linalg, dir(torch.linalg)),
        (torch.fft, dir(torch.fft)),
        (torch.special, dir(torch.special)),
    ]
    for namespace, ns_funcs in tested_namespaces:
        for func_name in ns_funcs:
            # ignore private functions or functions that are deleted in torch.__init__
            if namespace is not torch.Tensor:
                if func_name.startswith('_'):
                    continue
                elif func_name.endswith('_'):
                    continue
                elif not func_name[0].islower():
                    continue
                elif func_name == 'unique_dim':
                    continue
            else:
                func = getattr(namespace, func_name)
                if getattr(object, func_name, None) == func:
                    continue
                if func_name == '__weakref__':
                    continue
            func = getattr(namespace, func_name)
            if namespace is torch.Tensor and getattr(object, func_name, None) == func:
                continue
            # ignore re-exported modules
            if isinstance(func, types.ModuleType):
                continue
            # ignore __future__ imports
            if isinstance(func, __future__._Feature):
                continue

            if not callable(func) and hasattr(func, "__get__"):
                if func.__get__ in get_ignored_functions():
                    msg = ("{}.{} is in the tuple returned by torch._overrides.get_ignored_functions "
                           "but still has an explicit override")
                    assert func.__get__ not in get_testing_overrides(), msg.format(namespace, func.__name__)
                    continue
                else:
                    overridable_funcs[func].append(func.__get__)
                    continue

            if not callable(func):
                continue

            # cannot be overriden by __torch_function__
            if func in get_ignored_functions():
                msg = ("{}.{} is in the tuple returned by torch._overrides.get_ignored_functions "
                       "but still has an explicit override")
                assert func not in get_testing_overrides(), msg.format(namespace, func.__name__)
                continue
            overridable_funcs[namespace].append(func)
    return overridable_funcs

@functools.lru_cache(None)
def _get_tensor_methods() -> Set[Callable]:
    """ Returns a set of the overridable methods on ``torch.Tensor`` """
    overridable_funcs = get_overridable_functions()
    methods = set(overridable_funcs[torch.Tensor])
    return methods

def is_tensor_method_or_property(func: Callable) -> bool:
    """
    Returns True if the function passed in is a handler for a
    method or property belonging to ``torch.Tensor``, as passed
    into ``__torch_function__``.

    .. note::
       For properties, their ``__get__`` method must be passed in.

    This may be needed, in particular, for the following reasons:

    1. Methods/properties sometimes don't contain a `__module__` slot.
    2. They require that the first passed-in argument is an instance
       of ``torch.Tensor``.

    Examples
    --------
    >>> is_tensor_method_or_property(torch.Tensor.add)
    True
    >>> is_tensor_method_or_property(torch.add)
    False
    """
    return func in _get_tensor_methods() or func.__name__ == "__get__"

def is_tensor_like(inp):
    """
    Returns ``True`` if the passed-in input is a Tensor-like.

    Currently, this occurs whenever there's a ``__torch_function__``
    attribute on the type of the input.

    Examples
    --------
    A subclass of tensor is generally a Tensor-like.

    >>> class SubTensor(torch.Tensor): ...
    >>> is_tensor_like(SubTensor([0]))
    True

    Built-in or user types aren't usually Tensor-like.

    >>> is_tensor_like(6)
    False
    >>> is_tensor_like(None)
    False
    >>> class NotATensor: ...
    >>> is_tensor_like(NotATensor())
    False

    But, they can be made Tensor-like by implementing __torch_function__.

    >>> class TensorLike:
    ...     def __torch_function__(self, func, types, args, kwargs):
    ...         return -1
    >>> is_tensor_like(TensorLike())
    True
    """
    return type(inp) is torch.Tensor or hasattr(type(inp), "__torch_function__")