



import math
import random
from typing import Any

from .hill_climbing import SearchProblem
def        a__     (				lowerCAmelCase__     ,      lowerCAmelCase__ = True     ,      lowerCAmelCase__ = math.inf     ,      lowerCAmelCase__ = -math.inf     ,      lowerCAmelCase__ = math.inf     ,      lowerCAmelCase__ = -math.inf     ,      lowerCAmelCase__ = False     ,      lowerCAmelCase__ = 100     ,      lowerCAmelCase__ = 0.01     ,      lowerCAmelCase__ = 1     ,      ):
      UpperCAmelCase_      			=							False
      UpperCAmelCase_      			=							search_prob
      UpperCAmelCase_      			=							start_temperate
      UpperCAmelCase_      			=							[]
      UpperCAmelCase_      			=							0
      UpperCAmelCase_      			=							None

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

      if visualization:
            from matplotlib import pyplot as plt

            plt.plot(range(A_				)     ,      A_				)
            plt.xlabel("Iterations"				)
            plt.ylabel("Function values"				)
            plt.show()
      return best_state


if __name__ == "__main__":
  def        a__     (				lowerCAmelCase__     ,      lowerCAmelCase__				):
        return (x**2) + (y**2)

  # starting the problem with initial coordinates (12, 47)
  lowerCamelCase       	=						SearchProblem(x=12, y=47, step_size=1, function_to_optimize=test_fa)
  lowerCamelCase       	=						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)
  lowerCamelCase       	=						SearchProblem(x=12, y=47, step_size=1, function_to_optimize=test_fa)
  lowerCamelCase       	=						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        a__     (				lowerCAmelCase__     ,      lowerCAmelCase__				):
        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()}"
  )









"""simple docstring"""





from ..utils import DummyObject, requires_backends
class 				lowercase__       (   metaclass=SCREAMING_SNAKE_CASE				):







       '''simple docstring'''


       UpperCamelCase						=					['''flax''']



       def __init__(							self      :  Tuple		,    *_UpperCAmelCase      :  str		,    **_UpperCAmelCase      :  Any   )			->						List[str]:


             '''simple docstring'''




             requires_backends(self		,    ["flax"]   )



       @classmethod
       def 					lowercase__    (							cls      :  List[Any]		,    *_UpperCAmelCase      :  Dict		,    **_UpperCAmelCase      :  Tuple   )			->						List[Any]:


             '''simple docstring'''




             requires_backends(cls		,    ["flax"]   )







       @classmethod
       def 					lowercase__    (							cls      :  List[Any]		,    *_UpperCAmelCase      :  List[Any]		,    **_UpperCAmelCase      :  str   )			->						int:


             '''simple docstring'''




             requires_backends(cls		,    ["flax"]   )



class 				lowercase__       (   metaclass=SCREAMING_SNAKE_CASE				):







       '''simple docstring'''


       UpperCamelCase						=					['''flax''']



       def __init__(							self      :  Union[str, Any]		,    *_UpperCAmelCase      :  Any		,    **_UpperCAmelCase      :  Tuple   )			->						str:


             '''simple docstring'''




             requires_backends(self		,    ["flax"]   )



       @classmethod
       def 					lowercase__    (							cls      :  str		,    *_UpperCAmelCase      :  Optional[int]		,    **_UpperCAmelCase      :  int   )			->						Any:


             '''simple docstring'''




             requires_backends(cls		,    ["flax"]   )







       @classmethod
       def 					lowercase__    (							cls      :  List[str]		,    *_UpperCAmelCase      :  Optional[Any]		,    **_UpperCAmelCase      :  Optional[int]   )			->						Dict:


             '''simple docstring'''




             requires_backends(cls		,    ["flax"]   )



class 				lowercase__       (   metaclass=SCREAMING_SNAKE_CASE				):







       '''simple docstring'''


       UpperCamelCase						=					['''flax''']



       def __init__(							self      :  Union[str, Any]		,    *_UpperCAmelCase      :  Dict		,    **_UpperCAmelCase      :  Dict   )			->						str:


             '''simple docstring'''




             requires_backends(self		,    ["flax"]   )



       @classmethod
       def 					lowercase__    (							cls      :  Optional[int]		,    *_UpperCAmelCase      :  int		,    **_UpperCAmelCase      :  List[Any]   )			->						List[str]:


             '''simple docstring'''




             requires_backends(cls		,    ["flax"]   )







       @classmethod
       def 					lowercase__    (							cls      :  Dict		,    *_UpperCAmelCase      :  Dict		,    **_UpperCAmelCase      :  Union[str, Any]   )			->						int:


             '''simple docstring'''




             requires_backends(cls		,    ["flax"]   )



class 				lowercase__       (   metaclass=SCREAMING_SNAKE_CASE				):







       '''simple docstring'''


       UpperCamelCase						=					['''flax''']



       def __init__(							self      :  Any		,    *_UpperCAmelCase      :  str		,    **_UpperCAmelCase      :  Tuple   )			->						Optional[int]:


             '''simple docstring'''




             requires_backends(self		,    ["flax"]   )



       @classmethod
       def 					lowercase__    (							cls      :  str		,    *_UpperCAmelCase      :  Optional[Any]		,    **_UpperCAmelCase      :  List[str]   )			->						str:


             '''simple docstring'''




             requires_backends(cls		,    ["flax"]   )







       @classmethod
       def 					lowercase__    (							cls      :  int		,    *_UpperCAmelCase      :  Any		,    **_UpperCAmelCase      :  int   )			->						Dict:


             '''simple docstring'''




             requires_backends(cls		,    ["flax"]   )



class 				lowercase__       (   metaclass=SCREAMING_SNAKE_CASE				):







       '''simple docstring'''


       UpperCamelCase						=					['''flax''']



       def __init__(							self      :  str		,    *_UpperCAmelCase      :  int		,    **_UpperCAmelCase      :  Dict   )			->						Tuple:


             '''simple docstring'''




             requires_backends(self		,    ["flax"]   )



       @classmethod
       def 					lowercase__    (							cls      :  Optional[Any]		,    *_UpperCAmelCase      :  List[str]		,    **_UpperCAmelCase      :  List[Any]   )			->						List[Any]:


             '''simple docstring'''




             requires_backends(cls		,    ["flax"]   )







       @classmethod
       def 					lowercase__    (							cls      :  List[Any]		,    *_UpperCAmelCase      :  int		,    **_UpperCAmelCase      :  int   )			->						Optional[Any]:


             '''simple docstring'''




             requires_backends(cls		,    ["flax"]   )



class 				lowercase__       (   metaclass=SCREAMING_SNAKE_CASE				):







       '''simple docstring'''


       UpperCamelCase						=					['''flax''']



       def __init__(							self      :  Dict		,    *_UpperCAmelCase      :  Any		,    **_UpperCAmelCase      :  Optional[Any]   )			->						int:


             '''simple docstring'''




             requires_backends(self		,    ["flax"]   )



       @classmethod
       def 					lowercase__    (							cls      :  List[Any]		,    *_UpperCAmelCase      :  str		,    **_UpperCAmelCase      :  List[str]   )			->						Any:


             '''simple docstring'''




             requires_backends(cls		,    ["flax"]   )







       @classmethod
       def 					lowercase__    (							cls      :  List[str]		,    *_UpperCAmelCase      :  str		,    **_UpperCAmelCase      :  Optional[Any]   )			->						Tuple:


             '''simple docstring'''




             requires_backends(cls		,    ["flax"]   )



class 				lowercase__       (   metaclass=SCREAMING_SNAKE_CASE				):







       '''simple docstring'''


       UpperCamelCase						=					['''flax''']



       def __init__(							self      :  Union[str, Any]		,    *_UpperCAmelCase      :  Optional[int]		,    **_UpperCAmelCase      :  Tuple   )			->						str:


             '''simple docstring'''




             requires_backends(self		,    ["flax"]   )



       @classmethod
       def 					lowercase__    (							cls      :  str		,    *_UpperCAmelCase      :  Union[str, Any]		,    **_UpperCAmelCase      :  Union[str, Any]   )			->						List[str]:


             '''simple docstring'''




             requires_backends(cls		,    ["flax"]   )







       @classmethod
       def 					lowercase__    (							cls      :  List[Any]		,    *_UpperCAmelCase      :  Optional[int]		,    **_UpperCAmelCase      :  Optional[Any]   )			->						str:


             '''simple docstring'''




             requires_backends(cls		,    ["flax"]   )



class 				lowercase__       (   metaclass=SCREAMING_SNAKE_CASE				):







       '''simple docstring'''


       UpperCamelCase						=					['''flax''']



       def __init__(							self      :  Optional[Any]		,    *_UpperCAmelCase      :  str		,    **_UpperCAmelCase      :  int   )			->						Union[str, Any]:


             '''simple docstring'''




             requires_backends(self		,    ["flax"]   )



       @classmethod
       def 					lowercase__    (							cls      :  Union[str, Any]		,    *_UpperCAmelCase      :  Optional[Any]		,    **_UpperCAmelCase      :  List[Any]   )			->						str:


             '''simple docstring'''




             requires_backends(cls		,    ["flax"]   )







       @classmethod
       def 					lowercase__    (							cls      :  List[Any]		,    *_UpperCAmelCase      :  Dict		,    **_UpperCAmelCase      :  str   )			->						List[str]:


             '''simple docstring'''




             requires_backends(cls		,    ["flax"]   )



class 				lowercase__       (   metaclass=SCREAMING_SNAKE_CASE				):







       '''simple docstring'''


       UpperCamelCase						=					['''flax''']



       def __init__(							self      :  List[str]		,    *_UpperCAmelCase      :  Optional[int]		,    **_UpperCAmelCase      :  Optional[int]   )			->						Tuple:


             '''simple docstring'''




             requires_backends(self		,    ["flax"]   )



       @classmethod
       def 					lowercase__    (							cls      :  Union[str, Any]		,    *_UpperCAmelCase      :  Optional[int]		,    **_UpperCAmelCase      :  str   )			->						Union[str, Any]:


             '''simple docstring'''




             requires_backends(cls		,    ["flax"]   )







       @classmethod
       def 					lowercase__    (							cls      :  Optional[int]		,    *_UpperCAmelCase      :  Any		,    **_UpperCAmelCase      :  List[str]   )			->						Optional[int]:


             '''simple docstring'''




             requires_backends(cls		,    ["flax"]   )



class 				lowercase__       (   metaclass=SCREAMING_SNAKE_CASE				):







       '''simple docstring'''


       UpperCamelCase						=					['''flax''']



       def __init__(							self      :  Optional[Any]		,    *_UpperCAmelCase      :  Union[str, Any]		,    **_UpperCAmelCase      :  Optional[Any]   )			->						Tuple:


             '''simple docstring'''




             requires_backends(self		,    ["flax"]   )



       @classmethod
       def 					lowercase__    (							cls      :  Optional[int]		,    *_UpperCAmelCase      :  Union[str, Any]		,    **_UpperCAmelCase      :  Dict   )			->						Any:


             '''simple docstring'''




             requires_backends(cls		,    ["flax"]   )







       @classmethod
       def 					lowercase__    (							cls      :  List[str]		,    *_UpperCAmelCase      :  List[str]		,    **_UpperCAmelCase      :  Optional[Any]   )			->						List[str]:


             '''simple docstring'''




             requires_backends(cls		,    ["flax"]   )



class 				lowercase__       (   metaclass=SCREAMING_SNAKE_CASE				):







       '''simple docstring'''


       UpperCamelCase						=					['''flax''']



       def __init__(							self      :  Tuple		,    *_UpperCAmelCase      :  List[str]		,    **_UpperCAmelCase      :  Optional[int]   )			->						Tuple:


             '''simple docstring'''




             requires_backends(self		,    ["flax"]   )



       @classmethod
       def 					lowercase__    (							cls      :  Any		,    *_UpperCAmelCase      :  Tuple		,    **_UpperCAmelCase      :  Optional[int]   )			->						Any:


             '''simple docstring'''




             requires_backends(cls		,    ["flax"]   )







       @classmethod
       def 					lowercase__    (							cls      :  List[Any]		,    *_UpperCAmelCase      :  int		,    **_UpperCAmelCase      :  int   )			->						int:


             '''simple docstring'''




             requires_backends(cls		,    ["flax"]   )



class 				lowercase__       (   metaclass=SCREAMING_SNAKE_CASE				):







       '''simple docstring'''


       UpperCamelCase						=					['''flax''']



       def __init__(							self      :  Tuple		,    *_UpperCAmelCase      :  int		,    **_UpperCAmelCase      :  Any   )			->						List[Any]:


             '''simple docstring'''




             requires_backends(self		,    ["flax"]   )



       @classmethod
       def 					lowercase__    (							cls      :  str		,    *_UpperCAmelCase      :  int		,    **_UpperCAmelCase      :  str   )			->						Any:


             '''simple docstring'''




             requires_backends(cls		,    ["flax"]   )







       @classmethod
       def 					lowercase__    (							cls      :  int		,    *_UpperCAmelCase      :  Dict		,    **_UpperCAmelCase      :  List[Any]   )			->						Dict:


             '''simple docstring'''




             requires_backends(cls		,    ["flax"]   )



class 				lowercase__       (   metaclass=SCREAMING_SNAKE_CASE				):







       '''simple docstring'''


       UpperCamelCase						=					['''flax''']



       def __init__(							self      :  int		,    *_UpperCAmelCase      :  Any		,    **_UpperCAmelCase      :  int   )			->						Union[str, Any]:


             '''simple docstring'''




             requires_backends(self		,    ["flax"]   )



       @classmethod
       def 					lowercase__    (							cls      :  Optional[int]		,    *_UpperCAmelCase      :  Dict		,    **_UpperCAmelCase      :  Dict   )			->						Dict:


             '''simple docstring'''




             requires_backends(cls		,    ["flax"]   )







       @classmethod
       def 					lowercase__    (							cls      :  str		,    *_UpperCAmelCase      :  Dict		,    **_UpperCAmelCase      :  Any   )			->						List[str]:


             '''simple docstring'''




             requires_backends(cls		,    ["flax"]   )




