


from __future__ import annotations

from typing import Any







class        lowerCamelCase__	:






			"""simple docstring"""






			def __init__(							self      ,						snake_case      ,						snake_case      ,						snake_case = 0     ):

						'''simple docstring'''


						UpperCamelCase__,      UpperCamelCase__					=       row, column
						UpperCamelCase__					=       [[default_value for c in range(snake_case     )] for r in range(snake_case     )]




			def __str__(							self     ):

						'''simple docstring'''


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

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

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

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




			def __repr__(							self     ):

						'''simple docstring'''


						return str(self     )




			def 				snake_case__				(							self      ,						snake_case     ):

						'''simple docstring'''


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




			def __getitem__(							self      ,						snake_case     ):

						'''simple docstring'''


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




			def __setitem__(							self      ,						snake_case      ,						snake_case     ):

						'''simple docstring'''


						assert self.validate_indicies(snake_case     )
						UpperCamelCase__					=       value




			def __add__(							self      ,						snake_case     ):

						'''simple docstring'''


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

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




			def __neg__(							self     ):

						'''simple docstring'''


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




			def __sub__(							self      ,						snake_case     ):

						'''simple docstring'''


						return self + (-another)




			def __mul__(							self      ,						snake_case     ):

						'''simple docstring'''


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




			def 				snake_case__				(							self     ):

						'''simple docstring'''


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







			def 				snake_case__				(							self      ,						snake_case      ,						snake_case     ):

						'''simple docstring'''


						assert isinstance(snake_case      ,						snake_case     ) and isinstance(snake_case      ,						snake_case     )
						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
						UpperCamelCase__					=       v.transpose()
						UpperCamelCase__					=       (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_(				)->		None:
									# a^(-1)
									UpperCamelCase__					=       Matrix(3				,     3				,     0  )
									for i in range(3  ):
												UpperCamelCase__					=       1
									print(F'''a^(-1) is {ainv}'''  )
									# u, v
									UpperCamelCase__					=       Matrix(3				,     1				,     0  )
									UpperCamelCase__,      UpperCamelCase__,      UpperCamelCase__					=       1, 2, -3
									UpperCamelCase__					=       Matrix(3				,     1				,     0  )
									UpperCamelCase__,      UpperCamelCase__,      UpperCamelCase__					=       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(_A				,     _A  )}'''  )
						def 			UpperCamelCase_(				)->		None:
									import doctest

									doctest.testmod()







						testa()






from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_sentencepiece_available,
    is_speech_available,
    is_torch_available,
)


__UpperCamelCase    		=       {
    'configuration_trocr': ['TROCR_PRETRAINED_CONFIG_ARCHIVE_MAP', 'TrOCRConfig'],
    'processing_trocr': ['TrOCRProcessor'],
}


try:
						if not is_torch_available():
												raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
						pass
else:
						__UpperCamelCase    		=       [
						    'TROCR_PRETRAINED_MODEL_ARCHIVE_LIST',
						    'TrOCRForCausalLM',
						    'TrOCRPreTrainedModel',
						]


if TYPE_CHECKING:
						from .configuration_trocr import TROCR_PRETRAINED_CONFIG_ARCHIVE_MAP, TrOCRConfig
						from .processing_trocr import TrOCRProcessor

						try:
												if not is_torch_available():
																		raise OptionalDependencyNotAvailable()
						except OptionalDependencyNotAvailable:
												pass
						else:
												from .modeling_trocr import TROCR_PRETRAINED_MODEL_ARCHIVE_LIST, TrOCRForCausalLM, TrOCRPreTrainedModel

else:
						import sys

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


