


"""simple docstring"""







import unittest

from knapsack import knapsack as k






class 						_A  (  unittest.TestCase  ):







    """simple docstring"""




    def 	__snake_case							(					self				:    List[Any]):
      a						:		str      							=			0
      a						:		Optional[int]      							=			[0]
      a						:		Union[str, Any]      							=			[0]
      a						:		Any      							=			len(__UpperCAmelCase)
      self.assertEqual(k.knapsack(__UpperCAmelCase				, __UpperCAmelCase				, __UpperCAmelCase				, __UpperCAmelCase)				, 0)

      a						:		List[str]      							=			[60]
      a						:		str      							=			[10]
      a						:		Optional[int]      							=			len(__UpperCAmelCase)
      self.assertEqual(k.knapsack(__UpperCAmelCase				, __UpperCAmelCase				, __UpperCAmelCase				, __UpperCAmelCase)				, 0)






    def 	__snake_case							(					self				:    Optional[int]):
      a						:		Any      							=			3
      a						:		str      							=			[1, 2, 3]
      a						:		Tuple      							=			[3, 2, 1]
      a						:		Any      							=			len(__UpperCAmelCase)
      self.assertEqual(k.knapsack(__UpperCAmelCase				, __UpperCAmelCase				, __UpperCAmelCase				, __UpperCAmelCase)				, 5)






    def 	__snake_case							(					self				:    Tuple):
      a						:		int      							=			50
      a						:		List[Any]      							=			[60, 100, 120]
      a						:		Optional[int]      							=			[10, 20, 30]
      a						:		str      							=			len(__UpperCAmelCase)
      self.assertEqual(k.knapsack(__UpperCAmelCase				, __UpperCAmelCase				, __UpperCAmelCase				, __UpperCAmelCase)				, 220)


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










"""simple docstring"""







from __future__ import annotations

from numpy import array, cos, cross, floataa, radians, sin
from numpy.typing import NDArray


def      lowercase			(				A_  ,   A_  ,   A_ = False       )->      list[float]:
  '''simple docstring'''







  if radian_mode:
    return [magnitude * cos(A_       ), magnitude * sin(A_       )]
  return [magnitude * cos(radians(A_       )       ), magnitude * sin(radians(A_       )       )]


def      lowercase			(				A_  ,   A_  ,   A_ = 10**-1       )->      bool:
  '''simple docstring'''







  a						:		NDArray[floataa]      							=			cross(A_  ,   A_       )
  a						:		float      							=			sum(A_       )
  return abs(A_       ) < eps


if __name__ == "__main__":
 # Test to check if it works
 __lowercase    					=      array(
     [
         polar_force(7_18.4, 180 - 30),
         polar_force(8_79.54, 45),
         polar_force(100, -90),
     ]
 )

 __lowercase    					=      array([[0, 0], [0, 0], [0, 0]])

 assert in_static_equilibrium(forces, location)

 # Problem 1 in image_data/2D_problems.jpg
 __lowercase    					=      array(
     [
         polar_force(30 * 9.81, 15),
         polar_force(215, 180 - 45),
         polar_force(264, 90 - 30),
     ]
 )

 __lowercase    					=      array([[0, 0], [0, 0], [0, 0]])

 assert in_static_equilibrium(forces, location)

 # Problem in image_data/2D_problems_1.jpg
 __lowercase    					=      array([[0, -2000], [0, -1200], [0, 15600], [0, -12400]])

 __lowercase    					=      array([[0, 0], [6, 0], [10, 0], [12, 0]])

 assert in_static_equilibrium(forces, location)

 import doctest

 doctest.testmod()






