



import unittest

from .lib import (
    Matrix,
    Vector,
    axpy,
    square_zero_matrix,
    unit_basis_vector,
    zero_vector,
)

class    _A	(     unittest.TestCase   ):



       def 		_lowerCamelCase      (		self							:					Optional[int]):


           '''simple docstring'''

           __a							=    Vector([1, 2, 3])
           self.assertEqual(x.component(0)					,		1)
           self.assertEqual(x.component(2)					,		3)
           __a							=    Vector()



       def 		_lowerCamelCase      (		self							:					Dict):


           '''simple docstring'''

           __a							=    Vector([0, 0, 0, 0, 0, 1])
           self.assertEqual(str(__SCREAMING_SNAKE_CASE)					,		'''(0,0,0,0,0,1)''')



       def 		_lowerCamelCase      (		self							:					int):


           '''simple docstring'''

           __a							=    Vector([1, 2, 3, 4])
           self.assertEqual(len(__SCREAMING_SNAKE_CASE)					,		4)



       def 		_lowerCamelCase      (		self							:					List[Any]):


           '''simple docstring'''

           __a							=    Vector([1, 2])
           __a							=    Vector([1, 2, 3, 4, 5])
           __a							=    Vector([0, 0, 0, 0, 0, 0, 0, 0, 0, 0])
           __a							=    Vector([1, -1, 1, -1, 2, -3, 4, -5])
           self.assertAlmostEqual(x.euclidean_length()					,		2.2_36					,		3)
           self.assertAlmostEqual(y.euclidean_length()					,		7.4_16					,		3)
           self.assertEqual(z.euclidean_length()					,		0)
           self.assertAlmostEqual(w.euclidean_length()					,		7.6_16					,		3)



       def 		_lowerCamelCase      (		self							:					Optional[Any]):


           '''simple docstring'''

           __a							=    Vector([1, 2, 3])
           __a							=    Vector([1, 1, 1])
           self.assertEqual((x + y).component(0)					,		2)
           self.assertEqual((x + y).component(1)					,		3)
           self.assertEqual((x + y).component(2)					,		4)



       def 		_lowerCamelCase      (		self							:					List[Any]):


           '''simple docstring'''

           __a							=    Vector([1, 2, 3])
           __a							=    Vector([1, 1, 1])
           self.assertEqual((x - y).component(0)					,		0)
           self.assertEqual((x - y).component(1)					,		1)
           self.assertEqual((x - y).component(2)					,		2)



       def 		_lowerCamelCase      (		self							:					Dict):


           '''simple docstring'''

           __a							=    Vector([1, 2, 3])
           __a							=    Vector([2, -1, 4])  # for test of dot product
           __a							=    Vector([1, -2, -1])
           self.assertEqual(str(x * 3.0)					,		'''(3.0,6.0,9.0)''')
           self.assertEqual((a * b)					,		0)



       def 		_lowerCamelCase      (		self							:					int):


           '''simple docstring'''

           self.assertEqual(str(zero_vector(10)).count('''0''')					,		10)



       def 		_lowerCamelCase      (		self							:					Optional[Any]):


           '''simple docstring'''

           self.assertEqual(str(unit_basis_vector(3					,		1))					,		'''(0,1,0)''')



       def 		_lowerCamelCase      (		self							:					Tuple):


           '''simple docstring'''

           __a							=    Vector([1, 2, 3])
           __a							=    Vector([1, 0, 1])
           self.assertEqual(str(axpy(2					,		__SCREAMING_SNAKE_CASE					,		__SCREAMING_SNAKE_CASE))					,		'''(3,4,7)''')



       def 		_lowerCamelCase      (		self							:					List[Any]):


           '''simple docstring'''

           __a							=    Vector([1, 0, 0, 0, 0, 0])
           __a							=    x.copy()
           self.assertEqual(str(__SCREAMING_SNAKE_CASE)					,		str(__SCREAMING_SNAKE_CASE))



       def 		_lowerCamelCase      (		self							:					Optional[Any]):


           '''simple docstring'''

           __a							=    Vector([1, 0, 0])
           x.change_component(0					,		0)
           x.change_component(1					,		1)
           self.assertEqual(str(__SCREAMING_SNAKE_CASE)					,		'''(0,1,0)''')



       def 		_lowerCamelCase      (		self							:					str):


           '''simple docstring'''

           __a							=    Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]					,		3					,		3)
           self.assertEqual('''|1,2,3|\n|2,4,5|\n|6,7,8|\n'''					,		str(__SCREAMING_SNAKE_CASE))



       def 		_lowerCamelCase      (		self							:					Union[str, Any]):


           '''simple docstring'''

           __a							=    Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]					,		3					,		3)
           __a							=    [[-3, -14, -10], [-5, -10, -5], [-2, -1, 0]]
           for x in range(a.height()):
               for y in range(a.width()):
                   self.assertEqual(minors[x][y]					,		a.minor(__SCREAMING_SNAKE_CASE					,		__SCREAMING_SNAKE_CASE))



       def 		_lowerCamelCase      (		self							:					Dict):


           '''simple docstring'''

           __a							=    Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]					,		3					,		3)
           __a							=    [[-3, 14, -10], [5, -10, 5], [-2, 1, 0]]
           for x in range(a.height()):
               for y in range(a.width()):
                   self.assertEqual(cofactors[x][y]					,		a.cofactor(__SCREAMING_SNAKE_CASE					,		__SCREAMING_SNAKE_CASE))



       def 		_lowerCamelCase      (		self							:					str):


           '''simple docstring'''

           __a							=    Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]					,		3					,		3)
           self.assertEqual(-5					,		a.determinant())



       def 		_lowerCamelCase      (		self							:					Optional[Any]):


           '''simple docstring'''

           __a							=    Matrix([[1, 2, 3], [4, 5, 6], [7, 8, 9]]					,		3					,		3)
           __a							=    Vector([1, 2, 3])
           self.assertEqual('''(14,32,50)'''					,		str(a * x))
           self.assertEqual('''|2,4,6|\n|8,10,12|\n|14,16,18|\n'''					,		str(a * 2))



       def 		_lowerCamelCase      (		self							:					str):


           '''simple docstring'''

           __a							=    Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]					,		3					,		3)
           a.change_component(0					,		2					,		5)
           self.assertEqual('''|1,2,5|\n|2,4,5|\n|6,7,8|\n'''					,		str(__SCREAMING_SNAKE_CASE))



       def 		_lowerCamelCase      (		self							:					Optional[int]):


           '''simple docstring'''

           __a							=    Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]					,		3					,		3)
           self.assertEqual(7					,		a.component(2					,		1)					,		0.01)



       def 		_lowerCamelCase      (		self							:					List[str]):


           '''simple docstring'''

           __a							=    Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]					,		3					,		3)
           __a							=    Matrix([[1, 2, 7], [2, 4, 5], [6, 7, 10]]					,		3					,		3)
           self.assertEqual('''|2,4,10|\n|4,8,10|\n|12,14,18|\n'''					,		str(a + b))



       def 		_lowerCamelCase      (		self							:					Dict):


           '''simple docstring'''

           __a							=    Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]					,		3					,		3)
           __a							=    Matrix([[1, 2, 7], [2, 4, 5], [6, 7, 10]]					,		3					,		3)
           self.assertEqual('''|0,0,-4|\n|0,0,0|\n|0,0,-2|\n'''					,		str(a - b))





       def 		_lowerCamelCase      (		self							:					Optional[int]):


           '''simple docstring'''

           self.assertEqual(
               '''|0,0,0,0,0|\n|0,0,0,0,0|\n|0,0,0,0,0|\n|0,0,0,0,0|\n|0,0,0,0,0|\n'''					,		str(square_zero_matrix(5))					,		)


if __name__ == "__main__":
 unittest.main()










# Lint as: python3
import itertools
import os
import re


__snake_case						:int						=					re.compile(r'''([A-Z]+)([A-Z][a-z])''')
__snake_case						:List[Any]						=					re.compile(r'''([a-z\d])([A-Z])''')

__snake_case						:Dict						=					re.compile(r'''(?<!_)_(?!_)''')
__snake_case						:Optional[int]						=					re.compile(r'''(_{2,})''')

__snake_case						:Optional[Any]						=					r'''^\w+(\.\w+)*$'''

__snake_case						:Union[str, Any]						=					r'''<>:/\|?*'''





def 					__snake_case     (      _UpperCAmelCase    ):
    __a							=    _uppercase_uppercase_re.sub(R'''\1_\2'''       ,			_UpperCAmelCase    )
    __a							=    _lowercase_uppercase_re.sub(R'''\1_\2'''       ,			_UpperCAmelCase    )
    return name.lower()





def 					__snake_case     (      _UpperCAmelCase    ):
    __a							=    _single_underscore_re.split(_UpperCAmelCase    )
    __a							=    [_multiple_underscores_re.split(_UpperCAmelCase    ) for n in name]
    return "".join(n.capitalize() for n in itertools.chain.from_iterable(_UpperCAmelCase    ) if n != ''''''    )





def 					__snake_case     (      _UpperCAmelCase    ):
    if os.path.basename(_UpperCAmelCase    ) != name:
        raise ValueError(f'Should be a dataset name, not a path: {name}'    )
    return camelcase_to_snakecase(_UpperCAmelCase    )





def 					__snake_case     (      _UpperCAmelCase       ,			_UpperCAmelCase    ):
    if os.path.basename(_UpperCAmelCase    ) != name:
        raise ValueError(f'Should be a dataset name, not a path: {name}'    )
    if not re.match(_split_re       ,			_UpperCAmelCase    ):
        raise ValueError(f'Split name should match \'{_split_re}\'\' but got \'{split}\'.'    )
    return f'{filename_prefix_for_name(_UpperCAmelCase    )}-{split}'





def 					__snake_case     (      _UpperCAmelCase       ,			_UpperCAmelCase       ,			_UpperCAmelCase       ,			_UpperCAmelCase=None    ):
    __a							=    filename_prefix_for_split(_UpperCAmelCase       ,			_UpperCAmelCase    )
    if filetype_suffix:
        prefix += f'.{filetype_suffix}'
    __a							=    os.path.join(_UpperCAmelCase       ,			_UpperCAmelCase    )
    return f'{filepath}*'





def 					__snake_case     (      _UpperCAmelCase       ,			_UpperCAmelCase       ,			_UpperCAmelCase       ,			_UpperCAmelCase=None       ,			_UpperCAmelCase=None    ):
    __a							=    filename_prefix_for_split(_UpperCAmelCase       ,			_UpperCAmelCase    )
    __a							=    os.path.join(_UpperCAmelCase       ,			_UpperCAmelCase    )

    if shard_lengths:
        __a							=    len(_UpperCAmelCase    )
        __a							=    [f'{prefix}-{shard_id:05d}-of-{num_shards:05d}' for shard_id in range(_UpperCAmelCase    )]
        if filetype_suffix:
            __a							=    [filename + f'.{filetype_suffix}' for filename in filenames]
        return filenames
    else:
        __a							=    prefix
        if filetype_suffix:
            filename += f'.{filetype_suffix}'
        return [filename]





