

'''simple docstring'''



from __future__ import annotations



class lowerCamelCase			:



			'''simple docstring'''






			def __init__(				self	:						int		,      lowerCAmelCase_	:						list[list[int]]			)      ->		Dict:





									'''simple docstring'''
									A__					:       List[str]     =TypeError(
									    """Matrices must be formed from a list of zero or more lists containing at """
									    """least one and the same number of values, each of which must be of type """
									    """int or float."""			)
									if len(lowerCAmelCase_			) != 0:
															A__					:       Optional[int]     =len(rows[0]			)
															if cols == 0:
																					raise error
															for row in rows:
																					if len(lowerCAmelCase_			) != cols:
																											raise error
																					for value in row:
																											if not isinstance(lowerCAmelCase_		,      (int, float)			):
																																	raise error
															A__					:       List[Any]     =rows
									else:
															A__					:       Any     =[]


			def lowercase__						(				self	:						List[str]			)      ->		list[list[int]]:





									'''simple docstring'''
									return [[row[i] for row in self.rows] for i in range(len(self.rows[0]			)			)]


			@property
			def lowercase__						(				self	:						Optional[Any]			)      ->		int:





									'''simple docstring'''
									return len(self.rows			)


			@property
			def lowercase__						(				self	:						List[Any]			)      ->		int:





									'''simple docstring'''
									return len(self.rows[0]			)


			@property
			def lowercase__						(				self	:						int			)      ->		tuple[int, int]:





									'''simple docstring'''
									return (self.num_rows, self.num_columns)


			@property
			def lowercase__						(				self	:						Optional[Any]			)      ->		bool:





									'''simple docstring'''
									return self.order[0] == self.order[1]


			def lowercase__						(				self	:						int			)      ->		Matrix:





									'''simple docstring'''
									A__					:       Optional[int]     =[
									    [0 if column_num != row_num else 1 for column_num in range(self.num_rows			)]
									    for row_num in range(self.num_rows			)
									]
									return Matrix(lowerCAmelCase_			)


			def lowercase__						(				self	:						Any			)      ->		int:





									'''simple docstring'''
									if not self.is_square:
															return 0
									if self.order == (0, 0):
															return 1
									if self.order == (1, 1):
															return int(self.rows[0][0]			)
									if self.order == (2, 2):
															return int(
															    (self.rows[0][0] * self.rows[1][1])
															    - (self.rows[0][1] * self.rows[1][0])			)
									else:
															return sum(
															    self.rows[0][column] * self.cofactors().rows[0][column]
															    for column in range(self.num_columns			)			)


			def lowercase__						(				self	:						List[str]			)      ->		bool:





									'''simple docstring'''
									return bool(self.determinant()			)


			def lowercase__						(				self	:						Any		,      lowerCAmelCase_	:						int		,      lowerCAmelCase_	:						int			)      ->		int:





									'''simple docstring'''
									A__					:       List[str]     =[
									    [
									        self.rows[other_row][other_column]
									        for other_column in range(self.num_columns			)
									        if other_column != column
									    ]
									    for other_row in range(self.num_rows			)
									    if other_row != row
									]
									return Matrix(lowerCAmelCase_			).determinant()


			def lowercase__						(				self	:						int		,      lowerCAmelCase_	:						int		,      lowerCAmelCase_	:						int			)      ->		int:





									'''simple docstring'''
									if (row + column) % 2 == 0:
															return self.get_minor(lowerCAmelCase_		,      lowerCAmelCase_			)
									return -1 * self.get_minor(lowerCAmelCase_		,      lowerCAmelCase_			)


			def lowercase__						(				self	:						Any			)      ->		Matrix:





									'''simple docstring'''
									return Matrix(
									    [
									        [self.get_minor(lowerCAmelCase_		,      lowerCAmelCase_			) for column in range(self.num_columns			)]
									        for row in range(self.num_rows			)
									    ]			)


			def lowercase__						(				self	:						int			)      ->		Matrix:





									'''simple docstring'''
									return Matrix(
									    [
									        [
									            self.minors().rows[row][column]
									            if (row + column) % 2 == 0
									            else self.minors().rows[row][column] * -1
									            for column in range(self.minors().num_columns			)
									        ]
									        for row in range(self.minors().num_rows			)
									    ]			)


			def lowercase__						(				self	:						List[str]			)      ->		Matrix:





									'''simple docstring'''
									A__					:       Dict     =[
									    [self.cofactors().rows[column][row] for column in range(self.num_columns			)]
									    for row in range(self.num_rows			)
									]
									return Matrix(lowerCAmelCase_			)


			def lowercase__						(				self	:						str			)      ->		Matrix:





									'''simple docstring'''
									A__					:       List[Any]     =self.determinant()
									if not determinant:
															raise TypeError("""Only matrices with a non-zero determinant have an inverse"""			)
									return self.adjugate() * (1 / determinant)


			def __repr__(				self	:						str			)      ->		str:





									'''simple docstring'''
									return str(self.rows			)


			def __str__(				self	:						int			)      ->		str:





									'''simple docstring'''
									if self.num_rows == 0:
															return "[]"
									if self.num_rows == 1:
															return "[[" + ". ".join(str(self.rows[0]			)			) + "]]"
									return (
									    "["
									    + "\n ".join(
									        [
									            """[""" + """. """.join([str(lowerCAmelCase_			) for value in row]			) + """.]"""
									            for row in self.rows
									        ]			)
									    + "]"
									)


			def lowercase__						(				self	:						Optional[Any]		,      lowerCAmelCase_	:						list[int]		,      lowerCAmelCase_	:						int | None = None			)      ->		None:





									'''simple docstring'''
									A__					:       int     =TypeError("""Row must be a list containing all ints and/or floats"""			)
									if not isinstance(lowerCAmelCase_		,      lowerCAmelCase_			):
															raise type_error
									for value in row:
															if not isinstance(lowerCAmelCase_		,      (int, float)			):
																					raise type_error
									if len(lowerCAmelCase_			) != self.num_columns:
															raise ValueError(
															    """Row must be equal in length to the other rows in the matrix"""			)
									if position is None:
															self.rows.append(lowerCAmelCase_			)
									else:
															A__					:       List[Any]     =self.rows[0:position] + [row] + self.rows[position:]


			def lowercase__						(				self	:						Optional[Any]		,      lowerCAmelCase_	:						list[int]		,      lowerCAmelCase_	:						int | None = None			)      ->		None:





									'''simple docstring'''
									A__					:       Optional[Any]     =TypeError(
									    """Column must be a list containing all ints and/or floats"""			)
									if not isinstance(lowerCAmelCase_		,      lowerCAmelCase_			):
															raise type_error
									for value in column:
															if not isinstance(lowerCAmelCase_		,      (int, float)			):
																					raise type_error
									if len(lowerCAmelCase_			) != self.num_rows:
															raise ValueError(
															    """Column must be equal in length to the other columns in the matrix"""			)
									if position is None:
															A__					:       int     =[self.rows[i] + [column[i]] for i in range(self.num_rows			)]
									else:
															A__					:       int     =[
															    self.rows[i][0:position] + [column[i]] + self.rows[i][position:]
															    for i in range(self.num_rows			)
															]


			def __eq__(				self	:						List[Any]		,      lowerCAmelCase_	:						object			)      ->		bool:





									'''simple docstring'''
									if not isinstance(lowerCAmelCase_		,      lowerCAmelCase_			):
															return NotImplemented
									return self.rows == other.rows


			def __ne__(				self	:						List[str]		,      lowerCAmelCase_	:						object			)      ->		bool:





									'''simple docstring'''
									return not self == other


			def __neg__(				self	:						List[Any]			)      ->		Matrix:





									'''simple docstring'''
									return self * -1


			def __add__(				self	:						Any		,      lowerCAmelCase_	:						Matrix			)      ->		Matrix:





									'''simple docstring'''
									if self.order != other.order:
															raise ValueError("""Addition requires matrices of the same order"""			)
									return Matrix(
									    [
									        [self.rows[i][j] + other.rows[i][j] for j in range(self.num_columns			)]
									        for i in range(self.num_rows			)
									    ]			)


			def __sub__(				self	:						Tuple		,      lowerCAmelCase_	:						Matrix			)      ->		Matrix:





									'''simple docstring'''
									if self.order != other.order:
															raise ValueError("""Subtraction requires matrices of the same order"""			)
									return Matrix(
									    [
									        [self.rows[i][j] - other.rows[i][j] for j in range(self.num_columns			)]
									        for i in range(self.num_rows			)
									    ]			)


			def __mul__(				self	:						Any		,      lowerCAmelCase_	:						Matrix | int | float			)      ->		Matrix:





									'''simple docstring'''
									if isinstance(lowerCAmelCase_		,      (int, float)			):
															return Matrix(
															    [[int(element * other			) for element in row] for row in self.rows]			)
									elif isinstance(lowerCAmelCase_		,      lowerCAmelCase_			):
															if self.num_columns != other.num_rows:
																					raise ValueError(
																					    """The number of columns in the first matrix must """
																					    """be equal to the number of rows in the second"""			)
															return Matrix(
															    [
															        [Matrix.dot_product(lowerCAmelCase_		,      lowerCAmelCase_			) for column in other.columns()]
															        for row in self.rows
															    ]			)
									else:
															raise TypeError(
															    """A Matrix can only be multiplied by an int, float, or another matrix"""			)


			def __pow__(				self	:						Dict		,      lowerCAmelCase_	:						int			)      ->		Matrix:





									'''simple docstring'''
									if not isinstance(lowerCAmelCase_		,      lowerCAmelCase_			):
															raise TypeError("""A Matrix can only be raised to the power of an int"""			)
									if not self.is_square:
															raise ValueError("""Only square matrices can be raised to a power"""			)
									if other == 0:
															return self.identity()
									if other < 0:
															if self.is_invertable():
																					return self.inverse() ** (-other)
															raise ValueError(
															    """Only invertable matrices can be raised to a negative power"""			)
									A__					:       Any     =self
									for _ in range(other - 1			):
															result *= self
									return result



			@classmethod
			def lowercase__						(				cls	:						Tuple		,      lowerCAmelCase_	:						list[int]		,      lowerCAmelCase_	:						list[int]			)      ->		int:





									'''simple docstring'''
									return sum(row[i] * column[i] for i in range(len(lowerCAmelCase_			)			)			)


if __name__ == "__main__":
		import doctest

		doctest.testmod()




'''simple docstring'''



from typing import Dict

from .base import GenericTensor, Pipeline



class lowerCamelCase			(  lowercase_						):



			'''simple docstring'''






			def lowercase__						(				self	:						List[str]		,      lowerCAmelCase_	:						Tuple=None		,      lowerCAmelCase_	:						Dict=None		,      lowerCAmelCase_	:						Any=None		,      **lowerCAmelCase_	:						Union[str, Any]			)      ->		Optional[Any]:





									'''simple docstring'''
									if tokenize_kwargs is None:
															A__					:       List[Any]     ={}

									if truncation is not None:
															if "truncation" in tokenize_kwargs:
																					raise ValueError(
																					    """truncation parameter defined twice (given as keyword argument as well as in tokenize_kwargs)"""			)
															A__					:       str     =truncation

									A__					:       Optional[int]     =tokenize_kwargs

									A__					:       List[Any]     ={}
									if return_tensors is not None:
															A__					:       Any     =return_tensors

									return preprocess_params, {}, postprocess_params


			def lowercase__						(				self	:						int		,      lowerCAmelCase_	:						Union[str, Any]		,      **lowerCAmelCase_	:						Dict			)      ->		Dict[str, GenericTensor]:





									'''simple docstring'''
									A__					:       List[str]     =self.framework
									A__					:       Union[str, Any]     =self.tokenizer(lowerCAmelCase_		,      return_tensors=lowerCAmelCase_		,      **lowerCAmelCase_			)
									return model_inputs


			def lowercase__						(				self	:						Optional[int]		,      lowerCAmelCase_	:						Dict			)      ->		Optional[Any]:





									'''simple docstring'''
									A__					:       Union[str, Any]     =self.model(**lowerCAmelCase_			)
									return model_outputs


			def lowercase__						(				self	:						Tuple		,      lowerCAmelCase_	:						Tuple		,      lowerCAmelCase_	:						Any=False			)      ->		List[Any]:





									'''simple docstring'''
									# [0] is the first available tensor, logits or last_hidden_state.
									if return_tensors:
															return model_outputs[0]
									if self.framework == "pt":
															return model_outputs[0].tolist()
									elif self.framework == "tf":
															return model_outputs[0].numpy().tolist()



			def __call__(				self	:						int		,      *lowerCAmelCase_	:						Any		,      **lowerCAmelCase_	:						Union[str, Any]			)      ->		List[str]:





									'''simple docstring'''
									return super().__call__(*lowerCAmelCase_		,      **lowerCAmelCase_			)

