





'''simple docstring'''



import math
import random
from typing import Any

from .hill_climbing import SearchProblem




def    _lowerCAmelCase						(				lowerCamelCase_			:  Optional[int]		,       lowerCamelCase_			:  bool = True		,       lowerCamelCase_			:  float = math.inf		,       lowerCamelCase_			:  float = -math.inf		,       lowerCamelCase_			:  float = math.inf		,       lowerCamelCase_			:  float = -math.inf		,       lowerCamelCase_			:  bool = False		,       lowerCamelCase_			:  float = 1_0_0		,       lowerCamelCase_			:  float = 0.01		,       lowerCamelCase_			:  float = 1		,       ):
			__lowercase										=							False
			__lowercase										=							search_prob
			__lowercase										=							start_temperate
			__lowercase										=							[]
			__lowercase										=							0
			__lowercase										=							None

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

			if visualization:
						from matplotlib import pyplot as plt

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


if __name__ == "__main__":




	def    _lowerCAmelCase						(				lowerCamelCase_			:  Dict		,       lowerCamelCase_			:  List[str]				):
				return (x**2) + (y**2)

	# starting the problem with initial coordinates (12, 47)
	_SCREAMING_SNAKE_CASE     :   List[str]					=    SearchProblem(x=1_2, y=4_7, step_size=1, function_to_optimize=test_fa)
	_SCREAMING_SNAKE_CASE     :   Optional[Any]					=    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)
	_SCREAMING_SNAKE_CASE     :   Any					=    SearchProblem(x=1_2, y=4_7, step_size=1, function_to_optimize=test_fa)
	_SCREAMING_SNAKE_CASE     :   str					=    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						(				lowerCamelCase_			:  str		,       lowerCamelCase_			:  List[Any]				):
				return (3 * x**2) - (6 * y)

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

	_SCREAMING_SNAKE_CASE     :   Tuple					=    SearchProblem(x=3, y=4, step_size=1, function_to_optimize=test_fa)
	_SCREAMING_SNAKE_CASE     :   Dict					=    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'''



from __future__ import annotations

from typing import Any






class 							__lowercase       :







	'''simple docstring'''

	def __init__(self     ,_lowerCamelCase )							->							None:







				'''simple docstring'''





				__lowercase										=							num_of_nodes
				__lowercase										=							[]
				__lowercase										=							{}


	def 						_UpperCAmelCase     (self     ,_lowerCamelCase     ,_lowerCamelCase     ,_lowerCamelCase )							->							None:







				'''simple docstring'''





				self.m_edges.append([u_node, v_node, weight] )


	def 						_UpperCAmelCase     (self     ,_lowerCamelCase )							->							int:







				'''simple docstring'''





				if self.m_component[u_node] == u_node:
							return u_node
				return self.find_component(self.m_component[u_node] )


	def 						_UpperCAmelCase     (self     ,_lowerCamelCase )							->							None:







				'''simple docstring'''





				if self.m_component[u_node] != u_node:
							for k in self.m_component:
										__lowercase										=							self.find_component(_lowerCamelCase )


	def 						_UpperCAmelCase     (self     ,_lowerCamelCase     ,_lowerCamelCase     ,_lowerCamelCase )							->							None:







				'''simple docstring'''





				if component_size[u_node] <= component_size[v_node]:
							__lowercase										=							v_node
							component_size[v_node] += component_size[u_node]
							self.set_component(_lowerCamelCase )

				elif component_size[u_node] >= component_size[v_node]:
							__lowercase										=							self.find_component(_lowerCamelCase )
							component_size[u_node] += component_size[v_node]
							self.set_component(_lowerCamelCase )


	def 						_UpperCAmelCase     (self )							->							None:







				'''simple docstring'''





				__lowercase										=							[]
				__lowercase										=							0

				__lowercase										=							[-1] * self.m_num_of_nodes

				# A list of components (initialized to all of the nodes)
				for node in range(self.m_num_of_nodes ):
							self.m_component.update({node: node} )
							component_size.append(1 )

				__lowercase										=							self.m_num_of_nodes

				while num_of_components > 1:
							for edge in self.m_edges:
										__lowercase						,		__lowercase						,		__lowercase										=							edge

										__lowercase										=							self.m_component[u]
										__lowercase										=							self.m_component[v]

										if u_component != v_component:

													for component in (u_component, v_component):
																if (
																    minimum_weight_edge[component] == -1
																    or minimum_weight_edge[component][2] > w
																):
																			__lowercase										=							[u, v, w]

							for edge in minimum_weight_edge:
										if isinstance(_lowerCamelCase     ,_lowerCamelCase ):
													__lowercase						,		__lowercase						,		__lowercase										=							edge

													__lowercase										=							self.m_component[u]
													__lowercase										=							self.m_component[v]

													if u_component != v_component:
																mst_weight += w
																self.union(_lowerCamelCase     ,_lowerCamelCase     ,_lowerCamelCase )
																print(f"Added edge [{u} - {v}]\nAdded weight: {w}\n" )
																num_of_components -= 1

							__lowercase										=							[-1] * self.m_num_of_nodes
				print(f"The total weight of the minimal spanning tree is: {mst_weight}" )





def    _lowerCAmelCase						(				):
			pass


if __name__ == "__main__":
	import doctest

	doctest.testmod()





