





import math
import random
from typing import Any

from .hill_climbing import SearchProblem



def 				lowerCAmelCase_			(      SCREAMING_SNAKE_CASE       :							str    ,						SCREAMING_SNAKE_CASE       :							bool = True    ,						SCREAMING_SNAKE_CASE       :							float = math.inf    ,						SCREAMING_SNAKE_CASE       :							float = -math.inf    ,						SCREAMING_SNAKE_CASE       :							float = math.inf    ,						SCREAMING_SNAKE_CASE       :							float = -math.inf    ,						SCREAMING_SNAKE_CASE       :							bool = False    ,						SCREAMING_SNAKE_CASE       :							float = 100    ,						SCREAMING_SNAKE_CASE       :							float = 0.01    ,						SCREAMING_SNAKE_CASE       :							float = 1    ,						):


							'''simple docstring'''







							__lowerCamelCase      :      str         =False
							__lowerCamelCase      :      Any         =search_prob
							__lowerCamelCase      :      Optional[Any]         =start_temperate
							__lowerCamelCase      :      str         =[]
							__lowerCamelCase      :      List[str]         =0
							__lowerCamelCase      :      Optional[int]         =None

							while not search_end:
														__lowerCamelCase      :      Optional[Any]         =current_state.score()
														if best_state is None or current_score > best_state.score():
																					__lowerCamelCase      :      str         =current_state
														scores.append(__lowercase   )
														iterations += 1
														__lowerCamelCase      :      Optional[Any]         =None
														__lowerCamelCase      :      Any         =current_state.get_neighbors()
														while (
														    next_state is None and neighbors
														):  # till we do not find a neighbor that we can move to
																					__lowerCamelCase      :      Optional[int]         =random.randint(0    ,						len(__lowercase   ) - 1   )  # picking a random neighbor
																					__lowerCamelCase      :      Union[str, Any]         =neighbors.pop(__lowercase   )
																					__lowerCamelCase      :      List[Any]         =picked_neighbor.score() - current_score

																					if (
																					    picked_neighbor.x > max_x
																					    or picked_neighbor.x < min_x
																					    or picked_neighbor.y > max_y
																					    or picked_neighbor.y < min_y
																					):
																												continue  # neighbor outside our bounds

																					if not find_max:
																												__lowerCamelCase      :      Union[str, Any]         =change * -1  # in case we are finding minimum
																					if change > 0:  # improves the solution
																												__lowerCamelCase      :      Union[str, Any]         =picked_neighbor
																					else:
																												__lowerCamelCase      :      Optional[Any]         =(math.e) ** (
																												    change / current_temp
																												)  # probability generation function
																												if random.random() < probability:  # random number within probability
																																			__lowerCamelCase      :      List[str]         =picked_neighbor
														__lowerCamelCase      :      Dict         =current_temp - (current_temp * rate_of_decrease)

														if current_temp < threshold_temp or next_state is None:
																					# temperature below threshold, or could not find a suitable neighbor
																					__lowerCamelCase      :      str         =True
														else:
																					__lowerCamelCase      :      List[Any]         =next_state

							if visualization:
														from matplotlib import pyplot as plt

														plt.plot(range(__lowercase   )    ,						__lowercase   )
														plt.xlabel('''Iterations'''   )
														plt.ylabel('''Function values'''   )
														plt.show()
							return best_state


if __name__ == "__main__":



							def 				lowerCAmelCase_			(      SCREAMING_SNAKE_CASE       :							Union[str, Any]    ,						SCREAMING_SNAKE_CASE       :							Optional[int]   ):


														'''simple docstring'''







														return (x**2) + (y**2)

							# starting the problem with initial coordinates (12, 47)
							_UpperCamelCase							=      SearchProblem(x=12, y=47, step_size=1, function_to_optimize=test_fa)
							_UpperCamelCase							=      simulated_annealing(
							    prob, find_max=False, max_x=100, min_x=5, max_y=50, min_y=-5, visualization=True
							)
							print(
							    'The minimum score for f(x, y) = x^2 + y^2 with the domain 100 > x > 5 '
							    f'''and 50 > y > - 5 found via hill climbing: {local_min.score()}'''
							)

							# starting the problem with initial coordinates (12, 47)
							_UpperCamelCase							=      SearchProblem(x=12, y=47, step_size=1, function_to_optimize=test_fa)
							_UpperCamelCase							=      simulated_annealing(
							    prob, find_max=True, max_x=100, min_x=5, max_y=50, min_y=-5, visualization=True
							)
							print(
							    'The maximum score for f(x, y) = x^2 + y^2 with the domain 100 > x > 5 '
							    f'''and 50 > y > - 5 found via hill climbing: {local_min.score()}'''
							)



							def 				lowerCAmelCase_			(      SCREAMING_SNAKE_CASE       :							Dict    ,						SCREAMING_SNAKE_CASE       :							Optional[int]   ):


														'''simple docstring'''







														return (3 * x**2) - (6 * y)

							_UpperCamelCase							=      SearchProblem(x=3, y=4, step_size=1, function_to_optimize=test_fa)
							_UpperCamelCase							=      simulated_annealing(prob, find_max=False, visualization=True)
							print(
							    'The minimum score for f(x, y) = 3*x^2 - 6*y found via hill climbing: '
							    f'''{local_min.score()}'''
							)

							_UpperCamelCase							=      SearchProblem(x=3, y=4, step_size=1, function_to_optimize=test_fa)
							_UpperCamelCase							=      simulated_annealing(prob, find_max=True, visualization=True)
							print(
							    'The maximum score for f(x, y) = 3*x^2 - 6*y found via hill climbing: '
							    f'''{local_min.score()}'''
							)











"""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()




