





import math
import random
from typing import Any

from .hill_climbing import SearchProblem






def 					lowerCamelCase_						(    _UpperCamelCase			,    _UpperCamelCase = True			,    _UpperCamelCase = math.inf			,    _UpperCamelCase = -math.inf			,    _UpperCamelCase = math.inf			,    _UpperCamelCase = -math.inf			,    _UpperCamelCase = False			,    _UpperCamelCase = 100			,    _UpperCamelCase = 0.01			,    _UpperCamelCase = 1			,    )		->						Any:






				"""simple docstring"""


				snake_case_						:   int           =  False
				snake_case_						:   Optional[int]           =  search_prob
				snake_case_						:   List[Any]           =  start_temperate
				snake_case_						:   int           =  []
				snake_case_						:   Optional[Any]           =  0
				snake_case_						:   Tuple           =  None

				while not search_end:
								snake_case_						:   int           =  current_state.score()
								if best_state is None or current_score > best_state.score():
												snake_case_						:   Tuple           =  current_state
								scores.append(_UpperCamelCase			)
								iterations += 1
								snake_case_						:   Union[str, Any]           =  None
								snake_case_						:   str           =  current_state.get_neighbors()
								while (
								    next_state is None and neighbors
								):  # till we do not find a neighbor that we can move to
												snake_case_						:   Optional[Any]           =  random.randint(0			,    len(_UpperCamelCase			) - 1			)  # picking a random neighbor
												snake_case_						:   Optional[Any]           =  neighbors.pop(_UpperCamelCase			)
												snake_case_						:   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:
																snake_case_						:   int           =  change * -1  # in case we are finding minimum
												if change > 0:  # improves the solution
																snake_case_						:   Union[str, Any]           =  picked_neighbor
												else:
																snake_case_						:   int           =  (math.e) ** (
																    change / current_temp
																)  # probability generation function
																if random.random() < probability:  # random number within probability
																				snake_case_						:   Union[str, Any]           =  picked_neighbor
								snake_case_						:   List[str]           =  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
												snake_case_						:   Union[str, Any]           =  True
								else:
												snake_case_						:   str           =  next_state

				if visualization:
								from matplotlib import pyplot as plt

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


if __name__ == "__main__":






	def 					lowerCamelCase_						(    _UpperCamelCase			,    _UpperCamelCase			)		->						Optional[Any]:






					"""simple docstring"""


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

	# starting the problem with initial coordinates (12, 47)
	lowerCAmelCase_    =    SearchProblem(x=1_2, y=4_7, step_size=1, function_to_optimize=test_fa)
	lowerCAmelCase_    =    simulated_annealing(
	    prob, find_max=False, max_x=1_0_0, min_x=5, max_y=5_0, 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)
	lowerCAmelCase_    =    SearchProblem(x=1_2, y=4_7, step_size=1, function_to_optimize=test_fa)
	lowerCAmelCase_    =    simulated_annealing(
	    prob, find_max=True, max_x=1_0_0, min_x=5, max_y=5_0, 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_						(    _UpperCamelCase			,    _UpperCamelCase			)		->						Optional[int]:






					"""simple docstring"""


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

	lowerCAmelCase_    =    SearchProblem(x=3, y=4, step_size=1, function_to_optimize=test_fa)
	lowerCAmelCase_    =    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()}'''
	)

	lowerCAmelCase_    =    SearchProblem(x=3, y=4, step_size=1, function_to_optimize=test_fa)
	lowerCAmelCase_    =    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()}'''
	)







def 					lowerCamelCase_						(    _UpperCamelCase			)		->						int:






				"""simple docstring"""


				if not isinstance(_UpperCamelCase			,    _UpperCamelCase			):
								raise ValueError('''multiplicative_persistence() only accepts integral values'''			)
				if num < 0:
								raise ValueError('''multiplicative_persistence() does not accept negative values'''			)

				snake_case_						:   List[Any]           =  0
				snake_case_						:   Tuple           =  str(_UpperCamelCase			)

				while len(_UpperCamelCase			) != 1:
								snake_case_						:   Tuple           =  [int(_UpperCamelCase			) for i in num_string]

								snake_case_						:   Dict           =  1
								for i in range(0			,    len(_UpperCamelCase			)			):
												total *= numbers[i]

								snake_case_						:   str           =  str(_UpperCamelCase			)

								steps += 1
				return steps






def 					lowerCamelCase_						(    _UpperCamelCase			)		->						int:






				"""simple docstring"""


				if not isinstance(_UpperCamelCase			,    _UpperCamelCase			):
								raise ValueError('''additive_persistence() only accepts integral values'''			)
				if num < 0:
								raise ValueError('''additive_persistence() does not accept negative values'''			)

				snake_case_						:   Any           =  0
				snake_case_						:   Tuple           =  str(_UpperCamelCase			)

				while len(_UpperCamelCase			) != 1:
								snake_case_						:   List[str]           =  [int(_UpperCamelCase			) for i in num_string]

								snake_case_						:   Optional[int]           =  0
								for i in range(0			,    len(_UpperCamelCase			)			):
												total += numbers[i]

								snake_case_						:   Tuple           =  str(_UpperCamelCase			)

								steps += 1
				return steps


if __name__ == "__main__":
	import doctest

	doctest.testmod()
