




from __future__ import annotations







class        __lowerCAmelCase					:

			"""simple docstring"""







			def __init__( self     ,		lowerCamelCase__				)       -> Optional[int]:



							'''simple docstring'''
							__lowerCamelCase									=       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:
											__lowerCamelCase									=       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
											__lowerCamelCase									=       rows
							else:
											__lowerCamelCase									=       []


			def  lowercase_       ( self				)       -> 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				)       -> int:



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


			@property
			def  lowercase_       ( self				)       -> int:



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


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



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


			@property
			def  lowercase_       ( self				)       -> bool:



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


			def  lowercase_       ( self				)       -> Matrix:



							'''simple docstring'''
							__lowerCamelCase									=       [
							    [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				)       -> 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				)       -> bool:



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


			def  lowercase_       ( self     ,		lowerCamelCase__     ,		lowerCamelCase__				)       -> int:



							'''simple docstring'''
							__lowerCamelCase									=       [
							    [
							        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     ,		lowerCamelCase__     ,		lowerCamelCase__				)       -> int:



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


			def  lowercase_       ( self				)       -> 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				)       -> 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				)       -> Matrix:



							'''simple docstring'''
							__lowerCamelCase									=       [
							    [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				)       -> Matrix:



							'''simple docstring'''
							__lowerCamelCase									=       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:



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


			def __str__( self				)       -> 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     ,		lowerCamelCase__     ,		lowerCamelCase__ = None				)       -> None:



							'''simple docstring'''
							__lowerCamelCase									=       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:
											__lowerCamelCase									=       self.rows[0:position] + [row] + self.rows[position:]


			def  lowercase_       ( self     ,		lowerCamelCase__     ,		lowerCamelCase__ = None				)       -> None:



							'''simple docstring'''
							__lowerCamelCase									=       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:
											__lowerCamelCase									=       [self.rows[i] + [column[i]] for i in range(self.num_rows				)]
							else:
											__lowerCamelCase									=       [
											    self.rows[i][0:position] + [column[i]] + self.rows[i][position:]
											    for i in range(self.num_rows				)
											]


			def __eq__( self     ,		lowerCamelCase__				)       -> bool:



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


			def __ne__( self     ,		lowerCamelCase__				)       -> bool:



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


			def __neg__( self				)       -> Matrix:



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


			def __add__( self     ,		lowerCamelCase__				)       -> 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     ,		lowerCamelCase__				)       -> 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     ,		lowerCamelCase__				)       -> 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     ,		lowerCamelCase__				)       -> 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'				)
							__lowerCamelCase									=       self
							for _ in range(other - 1				):
											result *= self
							return result






			@classmethod
			def  lowercase_       ( cls     ,		lowerCamelCase__     ,		lowerCamelCase__				)       -> int:



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


if __name__ == "__main__":
					import doctest

					doctest.testmod()








# Copyright 2021 The HuggingFace Team. All rights reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.

from argparse import ArgumentParser

from accelerate.commands.config import get_config_parser
from accelerate.commands.env import env_command_parser
from accelerate.commands.launch import launch_command_parser
from accelerate.commands.test import test_command_parser
from accelerate.commands.tpu import tpu_command_parser







def      lowerCamelCase_						(			)	->			Union[str, Any]:





				"""simple docstring"""


				__lowerCamelCase									=       ArgumentParser('Accelerate CLI tool'					,	usage='accelerate <command> [<args>]'					,	allow_abbrev=UpperCamelCase__ )
				__lowerCamelCase									=       parser.add_subparsers(help='accelerate command helpers' )

				# Register commands
				get_config_parser(subparsers=UpperCamelCase__ )
				env_command_parser(subparsers=UpperCamelCase__ )
				launch_command_parser(subparsers=UpperCamelCase__ )
				tpu_command_parser(subparsers=UpperCamelCase__ )
				test_command_parser(subparsers=UpperCamelCase__ )

				# Let's go
				__lowerCamelCase									=       parser.parse_args()

				if not hasattr(UpperCamelCase__					,	'func' ):
								parser.print_help()
								exit(1 )

				# Run
				args.func(UpperCamelCase__ )


if __name__ == "__main__":
					main()


