

from __future__ import annotations

from typing import Any





class A__    :



 """simple docstring"""







 def __init__(		self :	Tuple     ,						A_ :	int     ,						A_ :	int     ,						A_ :	float = 0       ):






      '''simple docstring'''




      _lowerCAmelCase      ,			_lowerCAmelCase   :					List[Any]        =    row, column
      _lowerCAmelCase   :					List[str]        =    [[default_value for c in range(A_       )] for r in range(A_       )]

 def __str__(		self :	int       ):






      '''simple docstring'''




      _lowerCAmelCase   :					Any        =    F'''Matrix consist of {self.row} rows and {self.column} columns\n'''

      # Make string identifier
      _lowerCAmelCase   :					Union[str, Any]        =    0
      for row_vector in self.array:
           for obj in row_vector:
                _lowerCAmelCase   :					Any        =    max(A_     ,						len(str(A_       )       )       )
      _lowerCAmelCase   :					int        =    F'''%{max_element_length}s'''

      # Make string and return
      def single_line(A_ :	list[float]       ) -> str:
           nonlocal string_format_identifier
           _lowerCAmelCase   :					Optional[int]        =    "["
           line += ", ".join(string_format_identifier % (obj,) for obj in row_vector       )
           line += "]"
           return line

      s += "\n".join(single_line(A_       ) for row_vector in self.array       )
      return s

 def __repr__(		self :	Tuple       ):






      '''simple docstring'''




      return str(self       )

 def    __magic_name__       (		self :	Dict     ,						A_ :	tuple[int, int]       ):






      '''simple docstring'''




      if not (isinstance(A_     ,						(list, tuple)       ) and len(A_       ) == 2):
           return False
      elif not (0 <= loc[0] < self.row and 0 <= loc[1] < self.column):
           return False
      else:
           return True

 def __getitem__(		self :	Optional[Any]     ,						A_ :	tuple[int, int]       ):






      '''simple docstring'''




      assert self.validate_indicies(A_       )
      return self.array[loc[0]][loc[1]]

 def __setitem__(		self :	int     ,						A_ :	tuple[int, int]     ,						A_ :	float       ):






      '''simple docstring'''




      assert self.validate_indicies(A_       )
      _lowerCAmelCase   :					List[Any]        =    value

 def __add__(		self :	Dict     ,						A_ :	Matrix       ):






      '''simple docstring'''




      assert isinstance(A_     ,						A_       )
      assert self.row == another.row and self.column == another.column

      # Add
      _lowerCAmelCase   :					Tuple        =    Matrix(self.row     ,						self.column       )
      for r in range(self.row       ):
           for c in range(self.column       ):
                _lowerCAmelCase   :					Any        =    self[r, c] + another[r, c]
      return result

 def __neg__(		self :	Optional[int]       ):






      '''simple docstring'''




      _lowerCAmelCase   :					Any        =    Matrix(self.row     ,						self.column       )
      for r in range(self.row       ):
           for c in range(self.column       ):
                _lowerCAmelCase   :					int        =    -self[r, c]
      return result

 def __sub__(		self :	List[Any]     ,						A_ :	Matrix       ):






      '''simple docstring'''




      return self + (-another)

 def __mul__(		self :	Dict     ,						A_ :	int | float | Matrix       ):






      '''simple docstring'''




      if isinstance(A_     ,						(int, float)       ):  # Scalar multiplication
           _lowerCAmelCase   :					str        =    Matrix(self.row     ,						self.column       )
           for r in range(self.row       ):
                for c in range(self.column       ):
                     _lowerCAmelCase   :					List[str]        =    self[r, c] * another
           return result
      elif isinstance(A_     ,						A_       ):  # Matrix multiplication
           assert self.column == another.row
           _lowerCAmelCase   :					int        =    Matrix(self.row     ,						another.column       )
           for r in range(self.row       ):
                for c in range(another.column       ):
                     for i in range(self.column       ):
                          result[r, c] += self[r, i] * another[i, c]
           return result
      else:
           _lowerCAmelCase   :					List[str]        =    F'''Unsupported type given for another ({type(A_       )})'''
           raise TypeError(A_       )

 def    __magic_name__       (		self :	Optional[Any]       ):






      '''simple docstring'''




      _lowerCAmelCase   :					Optional[Any]        =    Matrix(self.column     ,						self.row       )
      for r in range(self.row       ):
           for c in range(self.column       ):
                _lowerCAmelCase   :					Any        =    self[r, c]
      return result


 def    __magic_name__       (		self :	Optional[Any]     ,						A_ :	Matrix     ,						A_ :	Matrix       ):






      '''simple docstring'''




      assert isinstance(A_     ,						A_       ) and isinstance(A_     ,						A_       )
      assert self.row == self.column == u.row == v.row  # u, v should be column vector
      assert u.column == v.column == 1  # u, v should be column vector

      # Calculate
      _lowerCAmelCase   :					Any        =    v.transpose()
      _lowerCAmelCase   :					str        =    (v_t * self * u)[0, 0] + 1
      if numerator_factor == 0:
           return None  # It's not invertable
      return self - ((self * u) * (v_t * self) * (1.0 / numerator_factor))


# Testing
if __name__ == "__main__":







  def 	_snake_case		(    )       ->      None:

       """simple docstring"""







       _lowerCAmelCase   :					List[Any]        =    Matrix(3		,							3		,							0				)
       for i in range(3				):
            _lowerCAmelCase   :					int        =    1
       print(f'''a^(-1) is {ainv}'''				)
       # u, v
       _lowerCAmelCase   :					List[str]        =    Matrix(3		,							1		,							0				)
       _lowerCAmelCase      ,			_lowerCAmelCase      ,			_lowerCAmelCase   :					List[Any]        =    1, 2, -3
       _lowerCAmelCase   :					Dict        =    Matrix(3		,							1		,							0				)
       _lowerCAmelCase      ,			_lowerCAmelCase      ,			_lowerCAmelCase   :					List[Any]        =    4, -2, 5
       print(f'''u is {u}'''				)
       print(f'''v is {v}'''				)
       print(f'''uv^T is {u * v.transpose()}'''				)
       # Sherman Morrison
       print(f'''(a + uv^T)^(-1) is {ainv.sherman_morrison(SCREAMING_SNAKE_CASE		,							SCREAMING_SNAKE_CASE				)}'''				)







  def 	_snake_case		(    )       ->      None:

       """simple docstring"""







       import doctest

       doctest.testmod()



  testa()









from typing import TYPE_CHECKING

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


__UpperCAmelCase    				=     {'configuration_yolos': ['YOLOS_PRETRAINED_CONFIG_ARCHIVE_MAP', 'YolosConfig', 'YolosOnnxConfig']}

try:
  if not is_vision_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  __UpperCAmelCase    				=     ['YolosFeatureExtractor']
  __UpperCAmelCase    				=     ['YolosImageProcessor']

try:
  if not is_torch_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  __UpperCAmelCase    				=     [
      'YOLOS_PRETRAINED_MODEL_ARCHIVE_LIST',
      'YolosForObjectDetection',
      'YolosModel',
      'YolosPreTrainedModel',
  ]


if TYPE_CHECKING:
  from .configuration_yolos import YOLOS_PRETRAINED_CONFIG_ARCHIVE_MAP, YolosConfig, YolosOnnxConfig

  try:
    if not is_vision_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .feature_extraction_yolos import YolosFeatureExtractor
    from .image_processing_yolos import YolosImageProcessor

  try:
    if not is_torch_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .modeling_yolos import (
        YOLOS_PRETRAINED_MODEL_ARCHIVE_LIST,
        YolosForObjectDetection,
        YolosModel,
        YolosPreTrainedModel,
    )


else:
  import sys

  __UpperCAmelCase    				=     _LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)






