



import unittest

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

class       _SCREAMING_SNAKE_CASE	(unittest.TestCase ):





     def 	__snake_case    (       self :							List[Any]				)->None:
      __SCREAMING_SNAKE_CASE       :    int       =	Vector([1, 2, 3]				)
      self.assertEqual(x.component(0				)     ,  1				)
      self.assertEqual(x.component(2				)     ,  3				)
      __SCREAMING_SNAKE_CASE       :    Union[str, Any]       =	Vector()





     def 	__snake_case    (       self :							int				)->None:
      __SCREAMING_SNAKE_CASE       :    Any       =	Vector([0, 0, 0, 0, 0, 1]				)
      self.assertEqual(str(UpperCamelCase				)     ,  "(0,0,0,0,0,1)"				)





     def 	__snake_case    (       self :							List[Any]				)->None:
      __SCREAMING_SNAKE_CASE       :    int       =	Vector([1, 2, 3, 4]				)
      self.assertEqual(len(UpperCamelCase				)     ,  4				)





     def 	__snake_case    (       self :							str				)->None:
      __SCREAMING_SNAKE_CASE       :    Optional[Any]       =	Vector([1, 2]				)
      __SCREAMING_SNAKE_CASE       :    Optional[int]       =	Vector([1, 2, 3, 4, 5]				)
      __SCREAMING_SNAKE_CASE       :    Optional[Any]       =	Vector([0, 0, 0, 0, 0, 0, 0, 0, 0, 0]				)
      __SCREAMING_SNAKE_CASE       :    str       =	Vector([1, -1, 1, -1, 2, -3, 4, -5]				)
      self.assertAlmostEqual(x.euclidean_length()     ,  2.2_3_6     ,  3				)
      self.assertAlmostEqual(y.euclidean_length()     ,  7.4_1_6     ,  3				)
      self.assertEqual(z.euclidean_length()     ,  0				)
      self.assertAlmostEqual(w.euclidean_length()     ,  7.6_1_6     ,  3				)





     def 	__snake_case    (       self :							Dict				)->None:
      __SCREAMING_SNAKE_CASE       :    Optional[int]       =	Vector([1, 2, 3]				)
      __SCREAMING_SNAKE_CASE       :    Union[str, 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 	__snake_case    (       self :							Union[str, Any]				)->None:
      __SCREAMING_SNAKE_CASE       :    Optional[Any]       =	Vector([1, 2, 3]				)
      __SCREAMING_SNAKE_CASE       :    Optional[Any]       =	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 	__snake_case    (       self :							Union[str, Any]				)->None:
      __SCREAMING_SNAKE_CASE       :    Any       =	Vector([1, 2, 3]				)
      __SCREAMING_SNAKE_CASE       :    Optional[int]       =	Vector([2, -1, 4]				)  # for test of dot product
      __SCREAMING_SNAKE_CASE       :    Union[str, Any]       =	Vector([1, -2, -1]				)
      self.assertEqual(str(x * 3.0				)     ,  "(3.0,6.0,9.0)"				)
      self.assertEqual((a * b)     ,  0				)





     def 	__snake_case    (       self :							int				)->None:
      self.assertEqual(str(zero_vector(1_0				)				).count("0"				)     ,  1_0				)





     def 	__snake_case    (       self :							Optional[int]				)->None:
      self.assertEqual(str(unit_basis_vector(3     ,  1				)				)     ,  "(0,1,0)"				)





     def 	__snake_case    (       self :							int				)->None:
      __SCREAMING_SNAKE_CASE       :    Optional[Any]       =	Vector([1, 2, 3]				)
      __SCREAMING_SNAKE_CASE       :    str       =	Vector([1, 0, 1]				)
      self.assertEqual(str(axpy(2     ,  UpperCamelCase     ,  UpperCamelCase				)				)     ,  "(3,4,7)"				)





     def 	__snake_case    (       self :							Any				)->None:
      __SCREAMING_SNAKE_CASE       :    Optional[int]       =	Vector([1, 0, 0, 0, 0, 0]				)
      __SCREAMING_SNAKE_CASE       :    Tuple       =	x.copy()
      self.assertEqual(str(UpperCamelCase				)     ,  str(UpperCamelCase				)				)





     def 	__snake_case    (       self :							List[str]				)->None:
      __SCREAMING_SNAKE_CASE       :    Optional[int]       =	Vector([1, 0, 0]				)
      x.change_component(0     ,  0				)
      x.change_component(1     ,  1				)
      self.assertEqual(str(UpperCamelCase				)     ,  "(0,1,0)"				)





     def 	__snake_case    (       self :							int				)->None:
      __SCREAMING_SNAKE_CASE       :    Optional[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(UpperCamelCase				)				)





     def 	__snake_case    (       self :							Optional[int]				)->None:
      __SCREAMING_SNAKE_CASE       :    str       =	Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]     ,  3     ,  3				)
      __SCREAMING_SNAKE_CASE       :    List[Any]       =	[[-3, -1_4, -1_0], [-5, -1_0, -5], [-2, -1, 0]]
      for x in range(a.height()				):
       for y in range(a.width()				):
        self.assertEqual(minors[x][y]     ,  a.minor(UpperCamelCase     ,  UpperCamelCase				)				)





     def 	__snake_case    (       self :							Any				)->None:
      __SCREAMING_SNAKE_CASE       :    Union[str, Any]       =	Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]     ,  3     ,  3				)
      __SCREAMING_SNAKE_CASE       :    int       =	[[-3, 1_4, -1_0], [5, -1_0, 5], [-2, 1, 0]]
      for x in range(a.height()				):
       for y in range(a.width()				):
        self.assertEqual(cofactors[x][y]     ,  a.cofactor(UpperCamelCase     ,  UpperCamelCase				)				)





     def 	__snake_case    (       self :							Optional[Any]				)->None:
      __SCREAMING_SNAKE_CASE       :    List[str]       =	Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]     ,  3     ,  3				)
      self.assertEqual(-5     ,  a.determinant()				)





     def 	__snake_case    (       self :							Optional[Any]				)->None:
      __SCREAMING_SNAKE_CASE       :    Dict       =	Matrix([[1, 2, 3], [4, 5, 6], [7, 8, 9]]     ,  3     ,  3				)
      __SCREAMING_SNAKE_CASE       :    str       =	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 	__snake_case    (       self :							List[str]				)->None:
      __SCREAMING_SNAKE_CASE       :    str       =	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(UpperCamelCase				)				)





     def 	__snake_case    (       self :							int				)->None:
      __SCREAMING_SNAKE_CASE       :    int       =	Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]     ,  3     ,  3				)
      self.assertEqual(7     ,  a.component(2     ,  1				)     ,  0.0_1				)





     def 	__snake_case    (       self :							Optional[int]				)->None:
      __SCREAMING_SNAKE_CASE       :    Any       =	Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]     ,  3     ,  3				)
      __SCREAMING_SNAKE_CASE       :    Tuple       =	Matrix([[1, 2, 7], [2, 4, 5], [6, 7, 1_0]]     ,  3     ,  3				)
      self.assertEqual("|2,4,10|\n|4,8,10|\n|12,14,18|\n"     ,  str(a + b				)				)





     def 	__snake_case    (       self :							Any				)->None:
      __SCREAMING_SNAKE_CASE       :    Tuple       =	Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]     ,  3     ,  3				)
      __SCREAMING_SNAKE_CASE       :    Dict       =	Matrix([[1, 2, 7], [2, 4, 5], [6, 7, 1_0]]     ,  3     ,  3				)
      self.assertEqual("|0,0,-4|\n|0,0,0|\n|0,0,-2|\n"     ,  str(a - b				)				)






     def 	__snake_case    (       self :							str				)->None:
      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()











from diffusers.utils.testing_utils import require_onnxruntime

@require_onnxruntime
class       _SCREAMING_SNAKE_CASE	:
     pass






