






'''simple docstring'''




import pytest

from datasets.splits import SplitDict, SplitInfo
from datasets.utils.py_utils import asdict







@pytest.mark.parametrize(
    'split_dict'     ,      [
        SplitDict(),
        SplitDict({'train': SplitInfo(name='train'     ,      num_bytes=1_337     ,      num_examples=42     ,      dataset_name='my_dataset')}),
        SplitDict({'train': SplitInfo(name='train'     ,      num_bytes=1_337     ,      num_examples=42)}),
        SplitDict({'train': SplitInfo()}),
    ]     ,      )
def       __UpperCAmelCase						(  lowerCamelCase_)							->     List[str]:
		UpperCamelCase__				:					Any					=					split_dict._to_yaml_list()
		assert len(lowerCamelCase_) == len(lowerCamelCase_)
		UpperCamelCase__				:					Union[str, Any]					=					SplitDict._from_yaml_list(lowerCamelCase_)
		for split_name, split_info in split_dict.items():
				# dataset_name field is deprecated, and is therefore not part of the YAML dump
				UpperCamelCase__				:					Dict					=					None
				# the split name of split_dict takes over the name of the split info object
				UpperCamelCase__				:					List[str]					=					split_name
		assert split_dict == reloaded







@pytest.mark.parametrize(
    'split_info'     ,      [SplitInfo(), SplitInfo(dataset_name=lowerCamelCase_), SplitInfo(dataset_name='my_dataset')])
def       __UpperCAmelCase						(  lowerCamelCase_)							->     Any:
		# For backward compatibility, we need asdict(split_dict) to return split info dictrionaries with the "dataset_name"
		# field even if it's deprecated. This way old versionso of `datasets` can still reload dataset_infos.json files
		UpperCamelCase__				:					List[str]					=					asdict(SplitDict({'train': split_info}))
		assert "dataset_name" in split_dict_asdict["train"]
		assert split_dict_asdict["train"]["dataset_name"] == split_info.dataset_name












'''simple docstring'''




from __future__ import annotations







class       __lowercase					:

	def __init__(      self   :						Union[str, Any]  ,					UpperCAmelCase_   :						list[list[int]]):
			UpperCamelCase__				:					int					=					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(UpperCAmelCase_) != 0:
					UpperCamelCase__				:					str					=					len(rows[0])
					if cols == 0:
							raise error
					for row in rows:
							if len(UpperCAmelCase_) != cols:
									raise error
							for value in row:
									if not isinstance(UpperCAmelCase_  ,					(int, float)):
											raise error
					UpperCamelCase__				:					Optional[int]					=					rows
			else:
					UpperCamelCase__				:					Optional[Any]					=					[]

	def      __UpperCamelCase							(      self   :						Union[str, Any]):
			return [[row[i] for row in self.rows] for i in range(len(self.rows[0]))]

	@property
	def      __UpperCamelCase							(      self   :						Dict):
			return len(self.rows)

	@property
	def      __UpperCamelCase							(      self   :						Tuple):
			return len(self.rows[0])

	@property
	def      __UpperCamelCase							(      self   :						List[Any]):
			return (self.num_rows, self.num_columns)

	@property
	def      __UpperCamelCase							(      self   :						Any):
			return self.order[0] == self.order[1]

	def      __UpperCamelCase							(      self   :						Any):
			UpperCamelCase__				:					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(UpperCAmelCase_)

	def      __UpperCamelCase							(      self   :						Dict):
			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      __UpperCamelCase							(      self   :						str):
			return bool(self.determinant())

	def      __UpperCamelCase							(      self   :						List[str]  ,					UpperCAmelCase_   :						int  ,					UpperCAmelCase_   :						int):
			UpperCamelCase__				:					Optional[Any]					=					[
			    [
			        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(UpperCAmelCase_).determinant()

	def      __UpperCamelCase							(      self   :						Any  ,					UpperCAmelCase_   :						int  ,					UpperCAmelCase_   :						int):
			if (row + column) % 2 == 0:
					return self.get_minor(UpperCAmelCase_  ,					UpperCAmelCase_)
			return -1 * self.get_minor(UpperCAmelCase_  ,					UpperCAmelCase_)

	def      __UpperCamelCase							(      self   :						List[Any]):
			return Matrix(
			    [
			        [self.get_minor(UpperCAmelCase_  ,					UpperCAmelCase_) for column in range(self.num_columns)]
			        for row in range(self.num_rows)
			    ])

	def      __UpperCamelCase							(      self   :						Optional[int]):
			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      __UpperCamelCase							(      self   :						Dict):
			UpperCamelCase__				:					Dict					=					[
			    [self.cofactors().rows[column][row] for column in range(self.num_columns)]
			    for row in range(self.num_rows)
			]
			return Matrix(UpperCAmelCase_)

	def      __UpperCamelCase							(      self   :						int):
			UpperCamelCase__				:					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   :						Any):
			return str(self.rows)

	def __str__(      self   :						List[Any]):
			if self.num_rows == 0:
					return "[]"
			if self.num_rows == 1:
					return "[[" + ". ".join(str(self.rows[0])) + "]]"
			return (
			    "["
			    + "\n ".join(
			        [
			            '[' + '. '.join([str(UpperCAmelCase_) for value in row]) + '.]'
			            for row in self.rows
			        ])
			    + "]"
			)

	def      __UpperCamelCase							(      self   :						Dict  ,					UpperCAmelCase_   :						list[int]  ,					UpperCAmelCase_   :						int | None = None):
			UpperCamelCase__				:					List[str]					=					TypeError('Row must be a list containing all ints and/or floats')
			if not isinstance(UpperCAmelCase_  ,					UpperCAmelCase_):
					raise type_error
			for value in row:
					if not isinstance(UpperCAmelCase_  ,					(int, float)):
							raise type_error
			if len(UpperCAmelCase_) != 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(UpperCAmelCase_)
			else:
					UpperCamelCase__				:					Tuple					=					self.rows[0:position] + [row] + self.rows[position:]

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

	def __eq__(      self   :						List[Any]  ,					UpperCAmelCase_   :						object):
			if not isinstance(UpperCAmelCase_  ,					UpperCAmelCase_):
					return NotImplemented
			return self.rows == other.rows

	def __ne__(      self   :						Any  ,					UpperCAmelCase_   :						object):
			return not self == other

	def __neg__(      self   :						Union[str, Any]):
			return self * -1

	def __add__(      self   :						Optional[int]  ,					UpperCAmelCase_   :						Matrix):
			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  ,					UpperCAmelCase_   :						Matrix):
			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  ,					UpperCAmelCase_   :						Matrix | int | float):
			if isinstance(UpperCAmelCase_  ,					(int, float)):
					return Matrix(
					    [[int(element * other) for element in row] for row in self.rows])
			elif isinstance(UpperCAmelCase_  ,					UpperCAmelCase_):
					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(UpperCAmelCase_  ,					UpperCAmelCase_) 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  ,					UpperCAmelCase_   :						int):
			if not isinstance(UpperCAmelCase_  ,					UpperCAmelCase_):
					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')
			UpperCamelCase__				:					str					=					self
			for _ in range(other - 1):
					result *= self
			return result





	@classmethod
	def      __UpperCamelCase							(      cls   :						Optional[int]  ,					UpperCAmelCase_   :						list[int]  ,					UpperCAmelCase_   :						list[int]):
			return sum(row[i] * column[i] for i in range(len(UpperCAmelCase_)))


if __name__ == "__main__":
		import doctest

		doctest.testmod()




