'''simple docstring'''




from __future__ import annotations

from typing import Any




class        a__ :






     def __init__(					self						:						List[Any]    ,							a						:						int    ,							a						:						int    ,							a						:						float = 0       ):





         """simple docstring"""



         __lowerCamelCase            =    row, column
         __lowerCamelCase            =    [[default_value for c in range(lowerCamelCase__       )] for r in range(lowerCamelCase__       )]






     def __str__(					self						:						List[Any]       ):





         """simple docstring"""



         __lowerCamelCase            =    f"""Matrix consist of {self.row} rows and {self.column} columns\n"""

         # Make string identifier
         __lowerCamelCase            =    0
         for row_vector in self.array:
             for obj in row_vector:
                 __lowerCamelCase            =    max(lowerCamelCase__    ,							len(str(lowerCamelCase__       )       )       )
         __lowerCamelCase            =    f"""%{max_element_length}s"""

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

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






     def __repr__(					self						:						Any       ):





         """simple docstring"""



         return str(self       )






     def   SCREAMING_SNAKE_CASE__  (					self						:						str    ,							a						:						tuple[int, int]       ):





         """simple docstring"""



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






     def __getitem__(					self						:						Union[str, Any]    ,							a						:						tuple[int, int]       ):





         """simple docstring"""



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






     def __setitem__(					self						:						Union[str, Any]    ,							a						:						tuple[int, int]    ,							a						:						float       ):





         """simple docstring"""



         assert self.validate_indicies(lowerCamelCase__       )
         __lowerCamelCase            =    value






     def __add__(					self						:						int    ,							a						:						Matrix       ):





         """simple docstring"""



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

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






     def __neg__(					self						:						Optional[int]       ):





         """simple docstring"""



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






     def __sub__(					self						:						Tuple    ,							a						:						Matrix       ):





         """simple docstring"""



         return self + (-another)






     def __mul__(					self						:						Tuple    ,							a						:						int | float | Matrix       ):





         """simple docstring"""



         if isinstance(lowerCamelCase__    ,							(int, float)       ):  # Scalar multiplication
             __lowerCamelCase            =    Matrix(self.row    ,							self.column       )
             for r in range(self.row       ):
                 for c in range(self.column       ):
                     __lowerCamelCase            =    self[r, c] * another
             return result
         elif isinstance(lowerCamelCase__    ,							lowerCamelCase__       ):  # Matrix multiplication
             assert self.column == another.row
             __lowerCamelCase            =    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            =    f"""Unsupported type given for another ({type(lowerCamelCase__       )})"""
             raise TypeError(lowerCamelCase__       )






     def   SCREAMING_SNAKE_CASE__  (					self						:						Union[str, Any]       ):





         """simple docstring"""



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






     def   SCREAMING_SNAKE_CASE__  (					self						:						Any    ,							a						:						Matrix    ,							a						:						Matrix       ):





         """simple docstring"""



         assert isinstance(lowerCamelCase__    ,							lowerCamelCase__       ) and isinstance(lowerCamelCase__    ,							lowerCamelCase__       )
         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            =    v.transpose()
         __lowerCamelCase            =    (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 __lowerCAmelCase					(				)      ->       None:
      # a^(-1)
      __lowerCamelCase            =    Matrix(3							,    3							,    0							)
      for i in range(3							):
          __lowerCamelCase            =    1
      print(f"""a^(-1) is {ainv}"""							)
      # u, v
      __lowerCamelCase            =    Matrix(3							,    1							,    0							)
      __lowerCamelCase            =    1, 2, -3
      __lowerCamelCase            =    Matrix(3							,    1							,    0							)
      __lowerCamelCase            =    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(__lowerCAmelCase							,    __lowerCAmelCase							)}"""							)






  def __lowerCAmelCase					(				)      ->       None:
      import doctest

      doctest.testmod()



  testa()








import warnings

from ...utils import logging
from .image_processing_beit import BeitImageProcessor


UpperCamelCase    							=      logging.get_logger(__name__)







class 		_A						( UpperCAmelCase_ ):

  def __init__(    self						:	str   ,				*lowerCamelCase__						:	Optional[int]   ,				**lowerCamelCase__						:	Any			):
     """simple docstring"""

     warnings.warn(
         """The class BeitFeatureExtractor is deprecated and will be removed in version 5 of Transformers. Please"""
         """ use BeitImageProcessor instead."""   ,				lowerCamelCase__   ,				)
     super().__init__(*lowerCamelCase__   ,				**lowerCamelCase__			)



