
"""simple docstring"""





from __future__ import annotations

import math
import random
from collections.abc import Collection
from typing import overload






class    _UpperCAmelCase:






		"""simple docstring"""




		def __init__( self    ,		__a = None)	->	None:






							'''simple docstring'''







							if components is None:
												_UpperCamelCase										=  []
							_UpperCamelCase										=  list(lowercase_)



		def __len__( self)	->	int:






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



		def __str__( self)	->	str:






							'''simple docstring'''
							return "(" + ",".join(map(lowercase_    ,		self.__components)) + ")"



		def __add__( self    ,		__a)	->	Vector:






							'''simple docstring'''
							_UpperCamelCase										=  len(self)
							if size == len(lowercase_):
												_UpperCamelCase										=  [self.__components[i] + other.component(lowercase_) for i in range(lowercase_)]
												return Vector(lowercase_)
							else:
												raise Exception('''must have the same size''')



		def __sub__( self    ,		__a)	->	Vector:






							'''simple docstring'''
							_UpperCamelCase										=  len(self)
							if size == len(lowercase_):
												_UpperCamelCase										=  [self.__components[i] - other.component(lowercase_) for i in range(lowercase_)]
												return Vector(lowercase_)
							else:  # error case
												raise Exception('''must have the same size''')



		@overload
		def __mul__( self    ,		__a)	->	Vector:






							'''simple docstring'''
							...



		@overload
		def __mul__( self    ,		__a)	->	float:






							'''simple docstring'''
							...



		def __mul__( self    ,		__a)	->	float | Vector:






							'''simple docstring'''







							if isinstance(lowercase_    ,		(float, int)):
												_UpperCamelCase										=  [c * other for c in self.__components]
												return Vector(lowercase_)
							elif isinstance(lowercase_    ,		lowercase_) and len(self) == len(lowercase_):
												_UpperCamelCase										=  len(self)
												_UpperCamelCase										=  [self.__components[i] * other.component(lowercase_) for i in range(lowercase_)]
												return sum(lowercase_)
							else:  # error case
												raise Exception('''invalid operand!''')



		def 						UpperCAmelCase							( self)	->	Vector:






							'''simple docstring'''
							return Vector(self.__components)



		def 						UpperCAmelCase							( self    ,		__a)	->	float:






							'''simple docstring'''







							if isinstance(lowercase_    ,		lowercase_) and -len(self.__components) <= i < len(self.__components):
												return self.__components[i]
							else:
												raise Exception('''index out of range''')



		def 						UpperCAmelCase							( self    ,		__a    ,		__a)	->	None:






							'''simple docstring'''
							assert -len(self.__components) <= pos < len(self.__components)
							_UpperCamelCase										=  value



		def 						UpperCAmelCase							( self)	->	float:






							'''simple docstring'''







							if len(self.__components) == 0:
												raise Exception('''Vector is empty''')
							_UpperCamelCase										=  [c**2 for c in self.__components]
							return math.sqrt(sum(lowercase_))




		def 						UpperCAmelCase							( self    ,		__a    ,		__a = False)	->	float:






							'''simple docstring'''
							_UpperCamelCase										=  self * other
							_UpperCamelCase										=  self.euclidean_length() * other.euclidean_length()
							if deg:
												return math.degrees(math.acos(num / den))
							else:
												return math.acos(num / den)





def 				lowerCamelCase__		(      __snake_case     )							->		Vector:


					"""simple docstring"""





					assert isinstance(a__,					a__     )
					return Vector([0] * dimension     )



def 				lowerCamelCase__		(      __snake_case,					__snake_case     )							->		Vector:


					"""simple docstring"""





					assert isinstance(a__,					a__     ) and (isinstance(a__,					a__     ))
					_UpperCamelCase										=  [0] * dimension
					_UpperCamelCase										=  1
					return Vector(a__     )



def 				lowerCamelCase__		(      __snake_case,					__snake_case,					__snake_case     )							->		Vector:


					"""simple docstring"""





					assert (
					    isinstance(a__,					a__     )
					    and isinstance(a__,					a__     )
					    and (isinstance(a__,					(int, float)     ))
					)
					return x * scalar + y



def 				lowerCamelCase__		(      __snake_case,					__snake_case,					__snake_case     )							->		Vector:


					"""simple docstring"""





					random.seed(a__     )
					_UpperCamelCase										=  [random.randint(a__,					a__     ) for _ in range(a__     )]
					return Vector(a__     )






class    _UpperCAmelCase:






		"""simple docstring"""




		def __init__( self    ,		__a    ,		__a    ,		__a)	->	None:






							'''simple docstring'''
							_UpperCamelCase										=  matrix
							_UpperCamelCase										=  w
							_UpperCamelCase										=  h



		def __str__( self)	->	str:






							'''simple docstring'''
							_UpperCamelCase										=  ''''''
							for i in range(self.__height):
												ans += "|"
												for j in range(self.__width):
																	if j < self.__width - 1:
																						ans += str(self.__matrix[i][j]) + ","
																	else:
																						ans += str(self.__matrix[i][j]) + "|\n"
							return ans



		def __add__( self    ,		__a)	->	Matrix:






							'''simple docstring'''







							if self.__width == other.width() and self.__height == other.height():
												_UpperCamelCase										=  []
												for i in range(self.__height):
																	_UpperCamelCase										=  [
																	    self.__matrix[i][j] + other.component(lowercase_    ,		lowercase_)
																	    for j in range(self.__width)
																	]
																	matrix.append(lowercase_)
												return Matrix(lowercase_    ,		self.__width    ,		self.__height)
							else:
												raise Exception('''matrix must have the same dimension!''')



		def __sub__( self    ,		__a)	->	Matrix:






							'''simple docstring'''







							if self.__width == other.width() and self.__height == other.height():
												_UpperCamelCase										=  []
												for i in range(self.__height):
																	_UpperCamelCase										=  [
																	    self.__matrix[i][j] - other.component(lowercase_    ,		lowercase_)
																	    for j in range(self.__width)
																	]
																	matrix.append(lowercase_)
												return Matrix(lowercase_    ,		self.__width    ,		self.__height)
							else:
												raise Exception('''matrices must have the same dimension!''')



		@overload
		def __mul__( self    ,		__a)	->	Matrix:






							'''simple docstring'''
							...



		@overload
		def __mul__( self    ,		__a)	->	Vector:






							'''simple docstring'''
							...



		def __mul__( self    ,		__a)	->	Vector | Matrix:






							'''simple docstring'''







							if isinstance(lowercase_    ,		lowercase_):  # matrix-vector
												if len(lowercase_) == self.__width:
																	_UpperCamelCase										=  zero_vector(self.__height)
																	for i in range(self.__height):
																						_UpperCamelCase										=  [
																						    self.__matrix[i][j] * other.component(lowercase_)
																						    for j in range(self.__width)
																						]
																						ans.change_component(lowercase_    ,		sum(lowercase_))
																	return ans
												else:
																	raise Exception(
																	    '''vector must have the same size as the '''
																	    '''number of columns of the matrix!''')
							elif isinstance(lowercase_    ,		(int, float)):  # matrix-scalar
												_UpperCamelCase										=  [
												    [self.__matrix[i][j] * other for j in range(self.__width)]
												    for i in range(self.__height)
												]
												return Matrix(lowercase_    ,		self.__width    ,		self.__height)
							return None



		def 						UpperCAmelCase							( self)	->	int:






							'''simple docstring'''
							return self.__height



		def 						UpperCAmelCase							( self)	->	int:






							'''simple docstring'''
							return self.__width



		def 						UpperCAmelCase							( self    ,		__a    ,		__a)	->	float:






							'''simple docstring'''







							if 0 <= x < self.__height and 0 <= y < self.__width:
												return self.__matrix[x][y]
							else:
												raise Exception('''change_component: indices out of bounds''')



		def 						UpperCAmelCase							( self    ,		__a    ,		__a    ,		__a)	->	None:






							'''simple docstring'''







							if 0 <= x < self.__height and 0 <= y < self.__width:
												_UpperCamelCase										=  value
							else:
												raise Exception('''change_component: indices out of bounds''')



		def 						UpperCAmelCase							( self    ,		__a    ,		__a)	->	float:






							'''simple docstring'''







							if self.__height != self.__width:
												raise Exception('''Matrix is not square''')
							_UpperCamelCase										=  self.__matrix[:x] + self.__matrix[x + 1 :]
							for i in range(len(lowercase_)):
												_UpperCamelCase										=  minor[i][:y] + minor[i][y + 1 :]
							return Matrix(lowercase_    ,		self.__width - 1    ,		self.__height - 1).determinant()



		def 						UpperCAmelCase							( self    ,		__a    ,		__a)	->	float:






							'''simple docstring'''







							if self.__height != self.__width:
												raise Exception('''Matrix is not square''')
							if 0 <= x < self.__height and 0 <= y < self.__width:
												return (-1) ** (x + y) * self.minor(lowercase_    ,		lowercase_)
							else:
												raise Exception('''Indices out of bounds''')




		def 						UpperCAmelCase							( self)	->	float:






							'''simple docstring'''







							if self.__height != self.__width:
												raise Exception('''Matrix is not square''')
							if self.__height < 1:
												raise Exception('''Matrix has no element''')
							elif self.__height == 1:
												return self.__matrix[0][0]
							elif self.__height == 2:
												return (
												    self.__matrix[0][0] * self.__matrix[1][1]
												    - self.__matrix[0][1] * self.__matrix[1][0]
												)
							else:
												_UpperCamelCase										=  [
												    self.__matrix[0][y] * self.cofactor(0    ,		lowercase_) for y in range(self.__width)
												]
												return sum(lowercase_)





def 				lowerCamelCase__		(      __snake_case     )							->		Matrix:


					"""simple docstring"""





					_UpperCamelCase										=  [[0] * n for _ in range(a__     )]
					return Matrix(a__,					a__,					a__     )



def 				lowerCamelCase__		(      __snake_case,					__snake_case,					__snake_case,					__snake_case     )							->		Matrix:


					"""simple docstring"""





					random.seed(a__     )
					_UpperCamelCase										=  [
					    [random.randint(a__,					a__     ) for _ in range(a__     )] for _ in range(a__     )
					]
					return Matrix(a__,					a__,					a__     )








"""simple docstring"""





import os
from collections import namedtuple

import pytest

from datasets import ClassLabel, Features, Sequence, Value
from datasets.commands.test import TestCommand
from datasets.info import DatasetInfo, DatasetInfosDict


_a														=		namedtuple(
    """_TestCommandArgs""",
    [
        """dataset""",
        """name""",
        """cache_dir""",
        """data_dir""",
        """all_configs""",
        """save_infos""",
        """ignore_verifications""",
        """force_redownload""",
        """clear_cache""",
    ],
    defaults=[None, None, None, False, False, False, False, False],
)



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


					"""simple docstring"""





					return (abs(source - target     ) / target) < 0.01



@pytest.mark.integration
def 				lowerCamelCase__		(      __snake_case     )							->		Dict:


					"""simple docstring"""





					_UpperCamelCase										=  _TestCommandArgs(dataset=__snake_case,					all_configs=__snake_case,					save_infos=__snake_case     )
					_UpperCamelCase										=  TestCommand(*__snake_case     )
					test_command.run()
					_UpperCamelCase										=  os.path.join(__snake_case,					'''README.md'''     )
					assert os.path.exists(__snake_case     )
					_UpperCamelCase										=  DatasetInfosDict.from_directory(__snake_case     )
					_UpperCamelCase										=  DatasetInfosDict(
					    {
					        '''default''': DatasetInfo(
					            features=Features(
					                {
					                    '''tokens''': Sequence(Value('''string'''     )     ),
					                    '''ner_tags''': Sequence(
					                        ClassLabel(names=['''O''', '''B-PER''', '''I-PER''', '''B-ORG''', '''I-ORG''', '''B-LOC''', '''I-LOC''']     )     ),
					                    '''langs''': Sequence(Value('''string'''     )     ),
					                    '''spans''': Sequence(Value('''string'''     )     ),
					                }     ),					splits=[
					                {
					                    '''name''': '''train''',
					                    '''num_bytes''': 2_35_15_63,
					                    '''num_examples''': 1_00_00,
					                },
					                {
					                    '''name''': '''validation''',
					                    '''num_bytes''': 23_84_18,
					                    '''num_examples''': 10_00,
					                },
					            ],					download_size=3_94_06_80,					dataset_size=2_58_99_81,					)
					    }     )
					assert dataset_infos.keys() == expected_dataset_infos.keys()
					for key in DatasetInfo._INCLUDED_INFO_IN_YAML:
										_UpperCamelCase			,  _UpperCamelCase										=  getattr(dataset_infos['''default'''],					__snake_case     ), getattr(expected_dataset_infos['''default'''],					__snake_case     )
										if key == "num_bytes":
															assert is_apercent_close(__snake_case,					__snake_case     )
										elif key == "splits":
															assert list(__snake_case     ) == list(__snake_case     )
															for split in result:
																				assert result[split].name == expected[split].name
																				assert result[split].num_examples == expected[split].num_examples
																				assert is_apercent_close(result[split].num_bytes,					expected[split].num_bytes     )
										else:
															result == expected






