


'''simple docstring'''



import os
import string
import sys


__A		=1 << 8

__A		={
    'tab': ord('\t'),
    'newline': ord('\r'),
    'esc': 27,
    'up': 65 + ARROW_KEY_FLAG,
    'down': 66 + ARROW_KEY_FLAG,
    'right': 67 + ARROW_KEY_FLAG,
    'left': 68 + ARROW_KEY_FLAG,
    'mod_int': 91,
    'undefined': sys.maxsize,
    'interrupt': 3,
    'insert': 50,
    'delete': 51,
    'pg_up': 53,
    'pg_down': 54,
}

__A		=KEYMAP['up']
__A		=KEYMAP['left']

if sys.platform == "win32":
		__A		=[]
		__A		={
		    b'\xe0H': KEYMAP['up'] - ARROW_KEY_FLAG,
		    b'\x00H': KEYMAP['up'] - ARROW_KEY_FLAG,
		    b'\xe0P': KEYMAP['down'] - ARROW_KEY_FLAG,
		    b'\x00P': KEYMAP['down'] - ARROW_KEY_FLAG,
		    b'\xe0M': KEYMAP['right'] - ARROW_KEY_FLAG,
		    b'\x00M': KEYMAP['right'] - ARROW_KEY_FLAG,
		    b'\xe0K': KEYMAP['left'] - ARROW_KEY_FLAG,
		    b'\x00K': KEYMAP['left'] - ARROW_KEY_FLAG,
		}

for i in range(10):
		__A		=ord(str(i))







def       _UpperCamelCase (						):
			if os.name == "nt":
						import msvcrt

						UpperCAmelCase__					:   str       				=       """mbcs"""
						# Flush the keyboard buffer
						while msvcrt.kbhit():
									msvcrt.getch()
						if len(lowercase__   ) == 0:
									# Read the keystroke
									UpperCAmelCase__					:   Any       				=       msvcrt.getch()

									# If it is a prefix char, get second part
									if ch in (b"\x00", b"\xe0"):
												UpperCAmelCase__					:   List[Any]       				=       ch + msvcrt.getch()
												# Translate actual Win chars to bullet char types
												try:
															UpperCAmelCase__					:   Tuple       				=       chr(WIN_KEYMAP[cha]   )
															WIN_CH_BUFFER.append(chr(KEYMAP["""mod_int"""]   )   )
															WIN_CH_BUFFER.append(lowercase__   )
															if ord(lowercase__   ) in (
															    KEYMAP["insert"] - 1 << 9,
															    KEYMAP["delete"] - 1 << 9,
															    KEYMAP["pg_up"] - 1 << 9,
															    KEYMAP["pg_down"] - 1 << 9,
															):
																		WIN_CH_BUFFER.append(chr(1_2_6   )   )
															UpperCAmelCase__					:   str       				=       chr(KEYMAP["""esc"""]   )
												except KeyError:
															UpperCAmelCase__					:   List[Any]       				=       cha[1]
									else:
												UpperCAmelCase__					:   Union[str, Any]       				=       ch.decode(lowercase__   )
						else:
									UpperCAmelCase__					:   Any       				=       WIN_CH_BUFFER.pop(0   )
			elif os.name == "posix":
						import termios
						import tty

						UpperCAmelCase__					:   List[Any]       				=       sys.stdin.fileno()
						UpperCAmelCase__					:   str       				=       termios.tcgetattr(lowercase__   )
						try:
									tty.setraw(lowercase__   )
									UpperCAmelCase__					:   str       				=       sys.stdin.read(1   )
						finally:
									termios.tcsetattr(lowercase__	, termios.TCSADRAIN	, lowercase__   )
			return ch







def       _UpperCamelCase (						):
			UpperCAmelCase__					:   Union[str, Any]       				=       get_raw_chars()
			if ord(lowercase__   ) in [KEYMAP["interrupt"], KEYMAP["newline"]]:
						return char

			elif ord(lowercase__   ) == KEYMAP["esc"]:
						UpperCAmelCase__					:   str       				=       get_raw_chars()
						if ord(lowercase__   ) == KEYMAP["mod_int"]:
									UpperCAmelCase__					:   int       				=       get_raw_chars()
									if ord(lowercase__   ) >= KEYMAP["arrow_begin"] - ARROW_KEY_FLAG and ord(lowercase__   ) <= KEYMAP["arrow_end"] - ARROW_KEY_FLAG:
												return chr(ord(lowercase__   ) + ARROW_KEY_FLAG   )
									else:
												return KEYMAP["undefined"]
						else:
									return get_raw_chars()

			else:
						if char in string.printable:
									return char
						else:
									return KEYMAP["undefined"]



'''simple docstring'''



import unittest

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


class 						_snake_case   (       unittest.TestCase		):




					def 			snake_case__  ( self):
								UpperCAmelCase__					:   str       				=       Vector([1, 2, 3])
								self.assertEqual(x.component(0)							,							1)
								self.assertEqual(x.component(2)							,							3)
								UpperCAmelCase__					:   List[str]       				=       Vector()




					def 			snake_case__  ( self):
								UpperCAmelCase__					:   Any       				=       Vector([0, 0, 0, 0, 0, 1])
								self.assertEqual(str(_lowerCamelCase)							,							"""(0,0,0,0,0,1)""")




					def 			snake_case__  ( self):
								UpperCAmelCase__					:   Optional[int]       				=       Vector([1, 2, 3, 4])
								self.assertEqual(len(_lowerCamelCase)							,							4)




					def 			snake_case__  ( self):
								UpperCAmelCase__					:   List[str]       				=       Vector([1, 2])
								UpperCAmelCase__					:   Optional[int]       				=       Vector([1, 2, 3, 4, 5])
								UpperCAmelCase__					:   Optional[Any]       				=       Vector([0, 0, 0, 0, 0, 0, 0, 0, 0, 0])
								UpperCAmelCase__					:   Union[str, Any]       				=       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 			snake_case__  ( self):
								UpperCAmelCase__					:   int       				=       Vector([1, 2, 3])
								UpperCAmelCase__					:   Optional[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):
								UpperCAmelCase__					:   Optional[int]       				=       Vector([1, 2, 3])
								UpperCAmelCase__					:   Dict       				=       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):
								UpperCAmelCase__					:   Tuple       				=       Vector([1, 2, 3])
								UpperCAmelCase__					:   Optional[int]       				=       Vector([2, -1, 4])  # for test of dot product
								UpperCAmelCase__					:   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):
								self.assertEqual(str(zero_vector(10)).count("""0""")							,							10)




					def 			snake_case__  ( self):
								self.assertEqual(str(unit_basis_vector(3							,							1))							,							"""(0,1,0)""")




					def 			snake_case__  ( self):
								UpperCAmelCase__					:   Any       				=       Vector([1, 2, 3])
								UpperCAmelCase__					:   List[str]       				=       Vector([1, 0, 1])
								self.assertEqual(str(axpy(2							,							_lowerCamelCase							,							_lowerCamelCase))							,							"""(3,4,7)""")




					def 			snake_case__  ( self):
								UpperCAmelCase__					:   Optional[int]       				=       Vector([1, 0, 0, 0, 0, 0])
								UpperCAmelCase__					:   Optional[int]       				=       x.copy()
								self.assertEqual(str(_lowerCamelCase)							,							str(_lowerCamelCase))




					def 			snake_case__  ( self):
								UpperCAmelCase__					:   str       				=       Vector([1, 0, 0])
								x.change_component(0							,							0)
								x.change_component(1							,							1)
								self.assertEqual(str(_lowerCamelCase)							,							"""(0,1,0)""")




					def 			snake_case__  ( self):
								UpperCAmelCase__					:   str       				=       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(_lowerCamelCase))




					def 			snake_case__  ( self):
								UpperCAmelCase__					:   List[str]       				=       Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]							,							3							,							3)
								UpperCAmelCase__					:   Dict       				=       [[-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(_lowerCamelCase							,							_lowerCamelCase))




					def 			snake_case__  ( self):
								UpperCAmelCase__					:   Any       				=       Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]							,							3							,							3)
								UpperCAmelCase__					:   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(_lowerCamelCase							,							_lowerCamelCase))




					def 			snake_case__  ( self):
								UpperCAmelCase__					:   Any       				=       Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]							,							3							,							3)
								self.assertEqual(-5							,							a.determinant())




					def 			snake_case__  ( self):
								UpperCAmelCase__					:   str       				=       Matrix([[1, 2, 3], [4, 5, 6], [7, 8, 9]]							,							3							,							3)
								UpperCAmelCase__					:   List[Any]       				=       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):
								UpperCAmelCase__					:   Union[str, Any]       				=       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(_lowerCamelCase))




					def 			snake_case__  ( self):
								UpperCAmelCase__					:   Any       				=       Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]							,							3							,							3)
								self.assertEqual(7							,							a.component(2							,							1)							,							0.01)




					def 			snake_case__  ( self):
								UpperCAmelCase__					:   str       				=       Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]							,							3							,							3)
								UpperCAmelCase__					:   List[Any]       				=       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 			snake_case__  ( self):
								UpperCAmelCase__					:   List[Any]       				=       Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]							,							3							,							3)
								UpperCAmelCase__					:   Dict       				=       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 			snake_case__  ( 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()