





"""simple docstring"""




from __future__ import annotations

from typing import Any





def 						UpperCAmelCase__		(					*_UpperCAmelCase ):






  """simple docstring"""





  if all(_check_not_integer(__UpperCamelCase ) for m in matrix_s ):
    for i in matrix_s[1:]:
      _verify_matrix_sizes(matrix_s[0]			, __UpperCamelCase )
    return [[sum(__UpperCamelCase ) for t in zip(*__UpperCamelCase )] for m in zip(*__UpperCamelCase )]
  raise TypeError('Expected a matrix, got int/list instead' )





def 						UpperCAmelCase__		(					_UpperCAmelCase			, _UpperCAmelCase ):






  """simple docstring"""





  if (
      _check_not_integer(__UpperCamelCase )
      and _check_not_integer(__UpperCamelCase )
      and _verify_matrix_sizes(__UpperCamelCase			, __UpperCamelCase )
  ):
    return [[i - j for i, j in zip(*__UpperCamelCase )] for m in zip(__UpperCamelCase			, __UpperCamelCase )]
  raise TypeError('Expected a matrix, got int/list instead' )





def 						UpperCAmelCase__		(					_UpperCAmelCase			, _UpperCAmelCase ):






  """simple docstring"""





  return [[x * n for x in row] for row in matrix]





def 						UpperCAmelCase__		(					_UpperCAmelCase			, _UpperCAmelCase ):






  """simple docstring"""





  if _check_not_integer(__UpperCamelCase ) and _check_not_integer(__UpperCamelCase ):
    A_						,	A_  :	Optional[Any]    						=  _verify_matrix_sizes(__UpperCamelCase			, __UpperCamelCase )

  if cols[0] != rows[1]:
    A_  :	int    						=  (
        'Cannot multiply matrix of dimensions '
        f"""({rows[0]},{cols[0]}) and ({rows[1]},{cols[1]})"""
    )
    raise ValueError(__UpperCamelCase )
  return [
      [sum(m * n for m, n in zip(__UpperCamelCase			, __UpperCamelCase ) ) for j in zip(*__UpperCamelCase )] for i in matrix_a
  ]





def 						UpperCAmelCase__		(					_UpperCAmelCase ):






  """simple docstring"""





  A_  :	Union[str, Any]    						=  int(__UpperCamelCase )
  return [[int(row == column ) for column in range(__UpperCamelCase )] for row in range(__UpperCamelCase )]





def 						UpperCAmelCase__		(					_UpperCAmelCase			, _UpperCAmelCase = True ):






  """simple docstring"""





  if _check_not_integer(__UpperCamelCase ):
    if return_map:
      return map(__UpperCamelCase			, zip(*__UpperCamelCase ) )
    else:
      return list(map(__UpperCamelCase			, zip(*__UpperCamelCase ) ) )
  raise TypeError('Expected a matrix, got int/list instead' )





def 						UpperCAmelCase__		(					_UpperCAmelCase			, _UpperCAmelCase			, _UpperCAmelCase ):






  """simple docstring"""





  A_  :	Dict    						=  matrix[:row] + matrix[row + 1 :]
  return [row[:column] + row[column + 1 :] for row in minor]





def 						UpperCAmelCase__		(					_UpperCAmelCase ):






  """simple docstring"""





  if len(__UpperCamelCase ) == 1:
    return matrix[0][0]

  return sum(
      x * determinant(minor(__UpperCamelCase			, 0			, __UpperCamelCase ) ) * (-1) ** i
      for i, x in enumerate(matrix[0] ) )





def 						UpperCAmelCase__		(					_UpperCAmelCase ):






  """simple docstring"""





  A_  :	List[str]    						=  determinant(__UpperCamelCase )
  if det == 0:
    return None

  A_  :	Optional[Any]    						=  [
      [determinant(minor(__UpperCamelCase			, __UpperCamelCase			, __UpperCamelCase ) ) for j in range(len(__UpperCamelCase ) )]
      for i in range(len(__UpperCamelCase ) )
  ]

  A_  :	Optional[Any]    						=  [
      [x * (-1) ** (row + col) for col, x in enumerate(matrix_minor[row] )]
      for row in range(len(__UpperCamelCase ) )
  ]
  A_  :	str    						=  list(transpose(__UpperCamelCase ) )
  return scalar_multiply(__UpperCamelCase			, 1 / det )





def 						UpperCAmelCase__		(					_UpperCAmelCase ):






  """simple docstring"""





  return not isinstance(__UpperCamelCase			, __UpperCamelCase ) and not isinstance(matrix[0]			, __UpperCamelCase )





def 						UpperCAmelCase__		(					_UpperCAmelCase ):






  """simple docstring"""





  return len(__UpperCamelCase ), len(matrix[0] )





def 						UpperCAmelCase__		(					_UpperCAmelCase			, _UpperCAmelCase ):






  """simple docstring"""





  A_  :	Any    						=  _shape(__UpperCamelCase ) + _shape(__UpperCamelCase )
  if shape[0] != shape[3] or shape[1] != shape[2]:
    A_  :	List[str]    						=  (
        'operands could not be broadcast together with shape '
        f"""({shape[0], shape[1]}), ({shape[2], shape[3]})"""
    )
    raise ValueError(__UpperCamelCase )
  return (shape[0], shape[2]), (shape[1], shape[3])





def 						UpperCAmelCase__		(					):






  """simple docstring"""





  A_  :	Tuple    						=  [[12, 10], [3, 9]]
  A_  :	Optional[int]    						=  [[3, 4], [7, 4]]
  A_  :	Any    						=  [[11, 12, 13, 14], [21, 22, 23, 24], [31, 32, 33, 34], [41, 42, 43, 44]]
  A_  :	Optional[Any]    						=  [[3, 0, 2], [2, 0, -2], [0, 1, 1]]
  print(f"""Add Operation, {add(__UpperCamelCase			, __UpperCamelCase ) = } \n""" )
  print(
      f"""Multiply Operation, {multiply(__UpperCamelCase			, __UpperCamelCase ) = } \n"""			, )
  print(f"""Identity: {identity(5 )}\n""" )
  print(f"""Minor of {matrix_c} = {minor(__UpperCamelCase			, 1			, 2 )} \n""" )
  print(f"""Determinant of {matrix_b} = {determinant(__UpperCamelCase )} \n""" )
  print(f"""Inverse of {matrix_d} = {inverse(__UpperCamelCase )}\n""" )


if __name__ == "__main__":
   import doctest

   doctest.testmod()
   main()






"""simple docstring"""




# Copyright 2023 The HuggingFace Team. All rights reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_torch_available,
    is_vision_available,
)


lowerCamelCase_					:						Any      = {
    'configuration_tvlt': ['TVLT_PRETRAINED_CONFIG_ARCHIVE_MAP', 'TvltConfig'],
    'feature_extraction_tvlt': ['TvltFeatureExtractor'],
    'processing_tvlt': ['TvltProcessor'],
}

try:
   if not is_torch_available():
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   pass
else:
   lowerCamelCase_					:						Union[str, Any]      = [
       'TVLT_PRETRAINED_MODEL_ARCHIVE_LIST',
       'TvltModel',
       'TvltForPreTraining',
       'TvltForAudioVisualClassification',
       'TvltPreTrainedModel',
   ]

try:
   if not is_vision_available():
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   pass
else:
   lowerCamelCase_					:						List[Any]      = ['TvltImageProcessor']


if TYPE_CHECKING:
   from .configuration_tvlt import TVLT_PRETRAINED_CONFIG_ARCHIVE_MAP, TvltConfig
   from .processing_tvlt import TvltProcessor
   from .feature_extraction_tvlt import TvltFeatureExtractor

   try:
      if not is_torch_available():
         raise OptionalDependencyNotAvailable()
   except OptionalDependencyNotAvailable:
      pass
   else:
      from .modeling_tvlt import (
          TVLT_PRETRAINED_MODEL_ARCHIVE_LIST,
          TvltForAudioVisualClassification,
          TvltForPreTraining,
          TvltModel,
          TvltPreTrainedModel,
      )

   try:
      if not is_vision_available():
         raise OptionalDependencyNotAvailable()
   except OptionalDependencyNotAvailable:
      pass
   else:
      from .image_processing_tvlt import TvltImageProcessor


else:
   import sys

   lowerCamelCase_					:						Optional[int]      = _LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)