


import math
import random
from typing import Any

from .hill_climbing import SearchProblem
def 				UpperCAmelCase_					(							__snake_case     ,						__snake_case = True     ,						__snake_case = math.inf     ,						__snake_case = -math.inf     ,						__snake_case = math.inf     ,						__snake_case = -math.inf     ,						__snake_case = False     ,						__snake_case = 100     ,						__snake_case = 0.01     ,						__snake_case = 1     ,						)     ->			Any:







 """simple docstring"""


 _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(__snake_case						)
  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(__snake_case						) - 1						)  # picking a random neighbor
   _lowercase							      =neighbors.pop(__snake_case						)
   _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(__snake_case						)     ,						__snake_case						)
  plt.xlabel('''Iterations'''						)
  plt.ylabel('''Function values'''						)
  plt.show()
 return best_state


if __name__ == "__main__":
  def 				UpperCAmelCase_					(							__snake_case     ,						__snake_case						)     ->			Optional[Any]:







   """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 				UpperCAmelCase_					(							__snake_case     ,						__snake_case						)     ->			List[str]:







   """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()}'''
  )





import heapq as hq
import math
from collections.abc import Iterator







class       lowerCamelCase__   :





     def __init__(self		,     UpperCAmelCase       )     ->   Any:
      _lowercase							      =str(id_       )
      _lowercase							      =None
      _lowercase							      =None
      _lowercase							      =[]
      _lowercase							      ={}  # {vertex:distance}





     def __lt__(self		,     UpperCAmelCase       )     ->   List[str]:
      return self.key < other.key





     def __repr__(self       )     ->   str:
      return self.id





     def      __A					(self		,     UpperCAmelCase       )     ->   Dict:
      self.neighbors.append(UpperCAmelCase       )





     def      __A					(self		,     UpperCAmelCase		,     UpperCAmelCase       )     ->   Optional[Any]:
      _lowercase							      =weight



def 				UpperCAmelCase_					(							__snake_case     ,						__snake_case     ,						__snake_case     ,						__snake_case						)     ->			List[str]:







 """simple docstring"""


 graph[a - 1].add_neighbor(graph[b - 1]						)
 graph[b - 1].add_neighbor(graph[a - 1]						)
 # add the edges:
 graph[a - 1].add_edge(graph[b - 1]     ,						__snake_case						)
 graph[b - 1].add_edge(graph[a - 1]     ,						__snake_case						)
def 				UpperCAmelCase_					(							__snake_case     ,						__snake_case						)     ->			list:







 """simple docstring"""


 _lowercase							      =[]
 for u in graph:
  _lowercase							      =math.inf
  _lowercase							      =None
 _lowercase							      =0
 _lowercase							      =graph[:]
 while q:
  _lowercase							      =min(__snake_case						)
  q.remove(__snake_case						)
  for v in u.neighbors:
   if (v in q) and (u.edges[v.id] < v.key):
    _lowercase							      =u
    _lowercase							      =u.edges[v.id]
 for i in range(1     ,						len(__snake_case						)						):
  a.append((int(graph[i].id						) + 1, int(graph[i].pi.id						) + 1)						)
 return a
def 				UpperCAmelCase_					(							__snake_case     ,						__snake_case						)     ->			Iterator[tuple]:







 """simple docstring"""


 for u in graph:
  _lowercase							      =math.inf
  _lowercase							      =None
 _lowercase							      =0

 _lowercase							      =list(__snake_case						)
 hq.heapify(__snake_case						)

 while h:
  _lowercase							      =hq.heappop(__snake_case						)
  for v in u.neighbors:
   if (v in h) and (u.edges[v.id] < v.key):
    _lowercase							      =u
    _lowercase							      =u.edges[v.id]
    hq.heapify(__snake_case						)

 for i in range(1     ,						len(__snake_case						)						):
  yield (int(graph[i].id						) + 1, int(graph[i].pi.id						) + 1)
def 				UpperCAmelCase_					(							)     ->			None:







 """simple docstring"""




if __name__ == "__main__":
  import doctest

  doctest.testmod()

