"""simple docstring"""





from __future__ import annotations

from typing import Any
class  _snake_case     :






						def __init__(       self      :			int							,					UpperCAmelCase      :			int							,					UpperCAmelCase      :			int							,					UpperCAmelCase      :			float = 0    ):
													__lowerCamelCase   ,  __lowerCamelCase					:		Tuple		   =     row, column
													__lowerCamelCase					:		Any		   =     [[default_value for c in range(UpperCAmelCase    )] for r in range(UpperCAmelCase    )]






						def __str__(       self      :			Dict    ):
													__lowerCamelCase					:		Tuple		   =     F"""Matrix consist of {self.row} rows and {self.column} columns\n"""

													# Make string identifier
													__lowerCamelCase					:		List[Any]		   =     0
													for row_vector in self.array:
																				for obj in row_vector:
																											__lowerCamelCase					:		Any		   =     max(UpperCAmelCase							,					len(str(UpperCAmelCase    )    )    )
													__lowerCamelCase					:		str		   =     F"""%{max_element_length}s"""

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

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






						def __repr__(       self      :			Optional[int]    ):
													return str(self    )






						def       lowerCamelCase__     (       self      :			Any							,					UpperCAmelCase      :			tuple[int, int]    ):
													if not (isinstance(UpperCAmelCase							,					(list, tuple)    ) and len(UpperCAmelCase    ) == 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[int]							,					UpperCAmelCase      :			tuple[int, int]    ):
													assert self.validate_indicies(UpperCAmelCase    )
													return self.array[loc[0]][loc[1]]






						def __setitem__(       self      :			Any							,					UpperCAmelCase      :			tuple[int, int]							,					UpperCAmelCase      :			float    ):
													assert self.validate_indicies(UpperCAmelCase    )
													__lowerCamelCase					:		Optional[Any]		   =     value






						def __add__(       self      :			Union[str, Any]							,					UpperCAmelCase      :			Matrix    ):
													assert isinstance(UpperCAmelCase							,					UpperCAmelCase    )
													assert self.row == another.row and self.column == another.column

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






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






						def __sub__(       self      :			List[str]							,					UpperCAmelCase      :			Matrix    ):
													return self + (-another)






						def __mul__(       self      :			List[Any]							,					UpperCAmelCase      :			int | float | Matrix    ):

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






						def       lowerCamelCase__     (       self      :			str    ):
													__lowerCamelCase					:		Union[str, Any]		   =     Matrix(self.column							,					self.row    )
													for r in range(self.row    ):
																				for c in range(self.column    ):
																											__lowerCamelCase					:		int		   =     self[r, c]
													return result







						def       lowerCamelCase__     (       self      :			Any							,					UpperCAmelCase      :			Matrix							,					UpperCAmelCase      :			Matrix    ):
													assert isinstance(UpperCAmelCase							,					UpperCAmelCase    ) and isinstance(UpperCAmelCase							,					UpperCAmelCase    )
													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					:		Union[str, Any]		   =     v.transpose()
													__lowerCamelCase					:		Tuple		   =     (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    lowercase_   (   ) ->      None:



											'''simple docstring'''

											__lowerCamelCase					:		List[Any]		   =     Matrix(3						,   3						,   0      )
											for i in range(3      ):
																		__lowerCamelCase					:		Dict		   =     1
											print(F"""a^(-1) is {ainv}"""      )
											# u, v
											__lowerCamelCase					:		Any		   =     Matrix(3						,   1						,   0      )
											__lowerCamelCase   ,  __lowerCamelCase   ,  __lowerCamelCase					:		Tuple		   =     1, 2, -3
											__lowerCamelCase					:		Any		   =     Matrix(3						,   1						,   0      )
											__lowerCamelCase   ,  __lowerCamelCase   ,  __lowerCamelCase					:		Optional[int]		   =     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    lowercase_   (   ) ->      None:



											'''simple docstring'''

											import doctest

											doctest.testmod()







				testa()
"""simple docstring"""





from typing import TYPE_CHECKING

from ...utils import _LazyModule


__A  =				{'''processing_wav2vec2_with_lm''': ['''Wav2Vec2ProcessorWithLM''']}


if TYPE_CHECKING:
				from .processing_wavaveca_with_lm import WavaVecaProcessorWithLM
else:
				import sys

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