




'''simple docstring'''





from __future__ import annotations

from typing import Any




class 			_snake_case		:




   def __init__( self    ,							a__    ,							a__    ,							a__ = 0							)    ->    None:

          '''simple docstring'''




          snake_case_ ,				snake_case_      =				row, column
          snake_case_      =				[[default_value for c in range(__a							)] for r in range(__a							)]




   def __str__( self							)    ->    str:

          '''simple docstring'''




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

          # Make string identifier
          snake_case_      =				0
          for row_vector in self.array:
                 for obj in row_vector:
                        snake_case_      =				max(__a    ,							len(str(__a							)							)							)
          snake_case_      =				F'%{max_element_length}s'

          # Make string and return
          def single_line(a__							) -> str:
                 nonlocal string_format_identifier
                 snake_case_      =				"["
                 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							)    ->    str:

          '''simple docstring'''




          return str(self							)




   def        lowerCAmelCase__    ( self    ,							a__							)    ->    bool:

          '''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    ,							a__							)    ->    Any:

          '''simple docstring'''




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




   def __setitem__( self    ,							a__    ,							a__							)    ->    None:

          '''simple docstring'''




          assert self.validate_indicies(__a							)
          snake_case_      =				value




   def __add__( self    ,							a__							)    ->    Matrix:

          '''simple docstring'''




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

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




   def __neg__( self							)    ->    Matrix:

          '''simple docstring'''




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




   def __sub__( self    ,							a__							)    ->    Matrix:

          '''simple docstring'''




          return self + (-another)




   def __mul__( self    ,							a__							)    ->    Matrix:

          '''simple docstring'''




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




   def        lowerCAmelCase__    ( self							)    ->    Matrix:

          '''simple docstring'''




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




   def        lowerCAmelCase__    ( self    ,							a__    ,							a__							)    ->    Any:

          '''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
          snake_case_      =				v.transpose()
          snake_case_      =				(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 					UpperCamelCase_(     ):

         '''simple docstring'''






         snake_case_      =				Matrix(3							,    3							,    0					)
         for i in range(3					):
                snake_case_      =				1
         print(f'a^(-1) is {ainv}'					)
         # u, v
         snake_case_      =				Matrix(3							,    1							,    0					)
         snake_case_ ,				snake_case_ ,				snake_case_      =				1, 2, -3
         snake_case_      =				Matrix(3							,    1							,    0					)
         snake_case_ ,				snake_case_ ,				snake_case_      =				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(__snake_case							,    __snake_case					)}'					)


  def 					UpperCamelCase_(     ):

         '''simple docstring'''






         import doctest

         doctest.testmod()




  testa()










'''simple docstring'''





import logging
import os

from .state import PartialState




class 			_snake_case		(     logging.LoggerAdapter							):




			@staticmethod
			def        lowerCAmelCase__    ( a__							)    ->    Optional[Any]:

										'''simple docstring'''




										snake_case_      =				PartialState()
										return not main_process_only or (main_process_only and state.is_main_process)




			def        lowerCAmelCase__    ( self    ,							a__    ,							a__    ,							*a__    ,							**a__							)    ->    List[Any]:

										'''simple docstring'''




										if PartialState._shared_state == {}:
																	raise RuntimeError(
																	    "You must initialize the accelerate state by calling either `PartialState()` or `Accelerator()` before using the logging utility."							)
										snake_case_      =				kwargs.pop("main_process_only"    ,							a__							)
										snake_case_      =				kwargs.pop("in_order"    ,							a__							)

										if self.isEnabledFor(a__							):
																	if self._should_log(a__							):
																								snake_case_ ,				snake_case_      =				self.process(a__    ,							a__							)
																								self.logger.log(a__    ,							a__    ,							*a__    ,							**a__							)

																	elif in_order:
																								snake_case_      =				PartialState()
																								for i in range(state.num_processes							):
																															if i == state.process_index:
																																						snake_case_ ,				snake_case_      =				self.process(a__    ,							a__							)
																																						self.logger.log(a__    ,							a__    ,							*a__    ,							**a__							)
																															state.wait_for_everyone()


def 					UpperCamelCase_(     snake_case							:	str							,    snake_case							:	str = None					):

							'''simple docstring'''






							if log_level is None:
														snake_case_      =				os.environ.get("ACCELERATE_LOG_LEVEL"							,    snake_case					)
							snake_case_      =				logging.getLogger(snake_case					)
							if log_level is not None:
														logger.setLevel(log_level.upper()					)
														logger.root.setLevel(log_level.upper()					)
							return MultiProcessAdapter(snake_case							,    {}					)




