





"""simple docstring"""





# This is the module that test_patching.py uses to test patch_submodule()

import os  # noqa: this is just for tests
import os as renamed_os  # noqa: this is just for tests
from os import path  # noqa: this is just for tests
from os import path as renamed_path  # noqa: this is just for tests
from os.path import join  # noqa: this is just for tests
from os.path import join as renamed_join  # noqa: this is just for tests


_UpperCamelCase							=      open  # noqa: we just need to have a builtin inside this module to test it properly











"""simple docstring"""





import unittest

from .lib import (
    Matrix,
    Vector,
    axpy,
    square_zero_matrix,
    unit_basis_vector,
    zero_vector,
)
class 		SCREAMING_SNAKE_CASE_							(    unittest.TestCase   ):
				"""simple docstring"""




				def 					__lowercase  (     self  :Tuple			):
											__lowerCamelCase      :      Any         =Vector([1, 2, 3]			)
											self.assertEqual(x.component(0			)						,    1			)
											self.assertEqual(x.component(2			)						,    3			)
											__lowerCamelCase      :      Any         =Vector()




				def 					__lowercase  (     self  :Dict			):
											__lowerCamelCase      :      Tuple         =Vector([0, 0, 0, 0, 0, 1]			)
											self.assertEqual(str(__lowercase			)						,    '''(0,0,0,0,0,1)'''			)




				def 					__lowercase  (     self  :Dict			):
											__lowerCamelCase      :      int         =Vector([1, 2, 3, 4]			)
											self.assertEqual(len(__lowercase			)						,    4			)




				def 					__lowercase  (     self  :Dict			):
											__lowerCamelCase      :      Optional[Any]         =Vector([1, 2]			)
											__lowerCamelCase      :      Dict         =Vector([1, 2, 3, 4, 5]			)
											__lowerCamelCase      :      List[Any]         =Vector([0, 0, 0, 0, 0, 0, 0, 0, 0, 0]			)
											__lowerCamelCase      :      int         =Vector([1, -1, 1, -1, 2, -3, 4, -5]			)
											self.assertAlmostEqual(x.euclidean_length()						,    2.236						,    3			)
											self.assertAlmostEqual(y.euclidean_length()						,    7.416						,    3			)
											self.assertEqual(z.euclidean_length()						,    0			)
											self.assertAlmostEqual(w.euclidean_length()						,    7.616						,    3			)




				def 					__lowercase  (     self  :Optional[int]			):
											__lowerCamelCase      :      Tuple         =Vector([1, 2, 3]			)
											__lowerCamelCase      :      Any         =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 					__lowercase  (     self  :str			):
											__lowerCamelCase      :      Union[str, Any]         =Vector([1, 2, 3]			)
											__lowerCamelCase      :      int         =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 					__lowercase  (     self  :int			):
											__lowerCamelCase      :      List[Any]         =Vector([1, 2, 3]			)
											__lowerCamelCase      :      List[Any]         =Vector([2, -1, 4]			)  # for test of dot product
											__lowerCamelCase      :      Any         =Vector([1, -2, -1]			)
											self.assertEqual(str(x * 3.0			)						,    '''(3.0,6.0,9.0)'''			)
											self.assertEqual((a * b)						,    0			)




				def 					__lowercase  (     self  :List[Any]			):
											self.assertEqual(str(zero_vector(10			)			).count('''0'''			)						,    10			)




				def 					__lowercase  (     self  :Union[str, Any]			):
											self.assertEqual(str(unit_basis_vector(3						,    1			)			)						,    '''(0,1,0)'''			)




				def 					__lowercase  (     self  :List[Any]			):
											__lowerCamelCase      :      Any         =Vector([1, 2, 3]			)
											__lowerCamelCase      :      Optional[int]         =Vector([1, 0, 1]			)
											self.assertEqual(str(axpy(2						,    __lowercase						,    __lowercase			)			)						,    '''(3,4,7)'''			)




				def 					__lowercase  (     self  :Dict			):
											__lowerCamelCase      :      List[Any]         =Vector([1, 0, 0, 0, 0, 0]			)
											__lowerCamelCase      :      Optional[int]         =x.copy()
											self.assertEqual(str(__lowercase			)						,    str(__lowercase			)			)




				def 					__lowercase  (     self  :int			):
											__lowerCamelCase      :      str         =Vector([1, 0, 0]			)
											x.change_component(0						,    0			)
											x.change_component(1						,    1			)
											self.assertEqual(str(__lowercase			)						,    '''(0,1,0)'''			)




				def 					__lowercase  (     self  :int			):
											__lowerCamelCase      :      Any         =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(__lowercase			)			)




				def 					__lowercase  (     self  :int			):
											__lowerCamelCase      :      Tuple         =Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]						,    3						,    3			)
											__lowerCamelCase      :      List[Any]         =[[-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(__lowercase						,    __lowercase			)			)




				def 					__lowercase  (     self  :Optional[int]			):
											__lowerCamelCase      :      Optional[Any]         =Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]						,    3						,    3			)
											__lowerCamelCase      :      Tuple         =[[-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(__lowercase						,    __lowercase			)			)




				def 					__lowercase  (     self  :Tuple			):
											__lowerCamelCase      :      Tuple         =Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]						,    3						,    3			)
											self.assertEqual(-5						,    a.determinant()			)




				def 					__lowercase  (     self  :int			):
											__lowerCamelCase      :      Union[str, Any]         =Matrix([[1, 2, 3], [4, 5, 6], [7, 8, 9]]						,    3						,    3			)
											__lowerCamelCase      :      Tuple         =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 					__lowercase  (     self  :Optional[Any]			):
											__lowerCamelCase      :      Optional[int]         =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(__lowercase			)			)




				def 					__lowercase  (     self  :str			):
											__lowerCamelCase      :      str         =Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]						,    3						,    3			)
											self.assertEqual(7						,    a.component(2						,    1			)						,    0.01			)




				def 					__lowercase  (     self  :Optional[int]			):
											__lowerCamelCase      :      List[str]         =Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]						,    3						,    3			)
											__lowerCamelCase      :      List[str]         =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 					__lowercase  (     self  :Union[str, Any]			):
											__lowerCamelCase      :      int         =Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]						,    3						,    3			)
											__lowerCamelCase      :      Optional[int]         =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 					__lowercase  (     self  :Any			):
											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()




