





'''simple docstring'''






import math
import random
from typing import Any

from .hill_climbing import SearchProblem





def       lowercase_      (		lowercase__				,  lowercase__ = True				,  lowercase__ = math.inf				,  lowercase__ = -math.inf				,  lowercase__ = math.inf				,  lowercase__ = -math.inf				,  lowercase__ = False				,  lowercase__ = 100				,  lowercase__ = 0.0_1				,  lowercase__ = 1				,  )   ->Any:
						_snake_case:   List[str]  					=		False
						_snake_case:   Union[str, Any]  					=		search_prob
						_snake_case:   Union[str, Any]  					=		start_temperate
						_snake_case:   int  					=		[]
						_snake_case:   Dict  					=		0
						_snake_case:   Union[str, Any]  					=		None

						while not search_end:
												_snake_case:   Optional[Any]  					=		current_state.score()
												if best_state is None or current_score > best_state.score():
																		_snake_case:   List[str]  					=		current_state
												scores.append(lowercase__						)
												iterations += 1
												_snake_case:   Optional[int]  					=		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:   Dict  					=		random.randint(0				,  len(lowercase__						) - 1						)  # picking a random neighbor
																		_snake_case:   List[Any]  					=		neighbors.pop(lowercase__						)
																		_snake_case:   str  					=		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:   List[str]  					=		change * -1  # in case we are finding minimum
																		if change > 0:  # improves the solution
																								_snake_case:   Dict  					=		picked_neighbor
																		else:
																								_snake_case:   Union[str, Any]  					=		(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[Any]  					=		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:   List[str]  					=		True
												else:
																		_snake_case:   List[str]  					=		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       lowercase_      (		lowercase__				,  lowercase__						)   ->List[str]:
								return (x**2) + (y**2)

		# starting the problem with initial coordinates (12, 47)
		A   : Dict             =			SearchProblem(x=12, y=47, step_size=1, function_to_optimize=test_fa)
		A   : Union[str, Any]             =			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)
		A   : str             =			SearchProblem(x=12, y=47, step_size=1, function_to_optimize=test_fa)
		A   : List[Any]             =			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       lowercase_      (		lowercase__				,  lowercase__						)   ->str:
								return (3 * x**2) - (6 * y)

		A   : Any             =			SearchProblem(x=3, y=4, step_size=1, function_to_optimize=test_fa)
		A   : List[str]             =			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()}'
		)

		A   : Any             =			SearchProblem(x=3, y=4, step_size=1, function_to_optimize=test_fa)
		A   : List[Any]             =			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'''






A   : str             =			{
    'a': 'AAAAA',
    'b': 'AAAAB',
    'c': 'AAABA',
    'd': 'AAABB',
    'e': 'AABAA',
    'f': 'AABAB',
    'g': 'AABBA',
    'h': 'AABBB',
    'i': 'ABAAA',
    'j': 'BBBAA',
    'k': 'ABAAB',
    'l': 'ABABA',
    'm': 'ABABB',
    'n': 'ABBAA',
    'o': 'ABBAB',
    'p': 'ABBBA',
    'q': 'ABBBB',
    'r': 'BAAAA',
    's': 'BAAAB',
    't': 'BAABA',
    'u': 'BAABB',
    'v': 'BBBAB',
    'w': 'BABAA',
    'x': 'BABAB',
    'y': 'BABBA',
    'z': 'BABBB',
    ' ': ' ',
}


A   : Union[str, Any]             =			{value: key for key, value in encode_dict.items()}





def       lowercase_      (		lowercase__						)   ->str:
						_snake_case:   Union[str, Any]  					=		''
						for letter in word.lower():
												if letter.isalpha() or letter == " ":
																		encoded += encode_dict[letter]
												else:
																		raise Exception('encode() accepts only letters of the alphabet and spaces'						)
						return encoded





def       lowercase_      (		lowercase__						)   ->str:
						if set(lowercase__						) - {"A", "B", " "} != set():
												raise Exception('decode() accepts only \'A\', \'B\' and spaces'						)
						_snake_case:   List[Any]  					=		''
						for word in coded.split():
												while len(lowercase__						) != 0:
																		decoded += decode_dict[word[:5]]
																		_snake_case:   Optional[int]  					=		word[5:]
												decoded += " "
						return decoded.strip()


if __name__ == "__main__":
		from doctest import testmod

		testmod()





