


import unittest

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

class   A__ (   unittest.TestCase     ):







    """simple docstring"""

    def 		a_      (	self   ):
         snake_case					=    Vector([1, 2, 3]   )
         self.assertEqual(x.component(0   )      , 1   )
         self.assertEqual(x.component(2   )      , 3   )
         snake_case					=    Vector()
    def 		a_      (	self   ):
         snake_case					=    Vector([0, 0, 0, 0, 0, 1]   )
         self.assertEqual(str(__snake_case   )      , '''(0,0,0,0,0,1)'''   )
    def 		a_      (	self   ):
         snake_case					=    Vector([1, 2, 3, 4]   )
         self.assertEqual(len(__snake_case   )      , 4   )
    def 		a_      (	self   ):
         snake_case					=    Vector([1, 2]   )
         snake_case					=    Vector([1, 2, 3, 4, 5]   )
         snake_case					=    Vector([0, 0, 0, 0, 0, 0, 0, 0, 0, 0]   )
         snake_case					=    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 		a_      (	self   ):
         snake_case					=    Vector([1, 2, 3]   )
         snake_case					=    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 		a_      (	self   ):
         snake_case					=    Vector([1, 2, 3]   )
         snake_case					=    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 		a_      (	self   ):
         snake_case					=    Vector([1, 2, 3]   )
         snake_case					=    Vector([2, -1, 4]   )  # for test of dot product
         snake_case					=    Vector([1, -2, -1]   )
         self.assertEqual(str(x * 3.0   )      , '''(3.0,6.0,9.0)'''   )
         self.assertEqual((a * b)      , 0   )
    def 		a_      (	self   ):
         self.assertEqual(str(zero_vector(1_0   )   ).count('''0'''   )      , 1_0   )
    def 		a_      (	self   ):
         self.assertEqual(str(unit_basis_vector(3      , 1   )   )      , '''(0,1,0)'''   )
    def 		a_      (	self   ):
         snake_case					=    Vector([1, 2, 3]   )
         snake_case					=    Vector([1, 0, 1]   )
         self.assertEqual(str(axpy(2      , __snake_case      , __snake_case   )   )      , '''(3,4,7)'''   )
    def 		a_      (	self   ):
         snake_case					=    Vector([1, 0, 0, 0, 0, 0]   )
         snake_case					=    x.copy()
         self.assertEqual(str(__snake_case   )      , str(__snake_case   )   )
    def 		a_      (	self   ):
         snake_case					=    Vector([1, 0, 0]   )
         x.change_component(0      , 0   )
         x.change_component(1      , 1   )
         self.assertEqual(str(__snake_case   )      , '''(0,1,0)'''   )
    def 		a_      (	self   ):
         snake_case					=    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(__snake_case   )   )
    def 		a_      (	self   ):
         snake_case					=    Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]      , 3      , 3   )
         snake_case					=    [[-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(__snake_case      , __snake_case   )   )
    def 		a_      (	self   ):
         snake_case					=    Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]      , 3      , 3   )
         snake_case					=    [[-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(__snake_case      , __snake_case   )   )
    def 		a_      (	self   ):
         snake_case					=    Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]      , 3      , 3   )
         self.assertEqual(-5      , a.determinant()   )
    def 		a_      (	self   ):
         snake_case					=    Matrix([[1, 2, 3], [4, 5, 6], [7, 8, 9]]      , 3      , 3   )
         snake_case					=    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 		a_      (	self   ):
         snake_case					=    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(__snake_case   )   )
    def 		a_      (	self   ):
         snake_case					=    Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]      , 3      , 3   )
         self.assertEqual(7      , a.component(2      , 1   )      , 0.01   )
    def 		a_      (	self   ):
         snake_case					=    Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]      , 3      , 3   )
         snake_case					=    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 		a_      (	self   ):
         snake_case					=    Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]      , 3      , 3   )
         snake_case					=    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 		a_      (	self   ):
         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()








import re

from filelock import FileLock


try:
 import nltk

 _SCREAMING_SNAKE_CASE      :			Union[str, Any]      				=   True
except (ImportError, ModuleNotFoundError):
 _SCREAMING_SNAKE_CASE      :			Optional[Any]      				=   False

if NLTK_AVAILABLE:
 with FileLock(".lock") as lock:
  nltk.download("punkt", quiet=True)
def       UpperCAmelCase__						(UpperCamelCase_    ):



     """simple docstring"""






     re.sub('''<n>'''							,''''''							,UpperCamelCase_    )  # remove pegasus newline char
     assert NLTK_AVAILABLE, "nltk must be installed to separate newlines between sentences. (pip install nltk)"
     return "\n".join(nltk.sent_tokenize(UpperCamelCase_    )    )




