


import math
import random
from typing import Any

from .hill_climbing import SearchProblem






def 	__lowerCAmelCase   (SCREAMING_SNAKE_CASE , SCREAMING_SNAKE_CASE = True , SCREAMING_SNAKE_CASE = math.inf , SCREAMING_SNAKE_CASE = -math.inf , SCREAMING_SNAKE_CASE = math.inf , SCREAMING_SNAKE_CASE = -math.inf , SCREAMING_SNAKE_CASE = False , SCREAMING_SNAKE_CASE = 100 , SCREAMING_SNAKE_CASE = 0.0_1 , SCREAMING_SNAKE_CASE = 1 , )->  int:




      """simple docstring"""

      snake_case_	=				False
      snake_case_	=				search_prob
      snake_case_	=				start_temperate
      snake_case_	=				[]
      snake_case_	=				0
      snake_case_	=				None

      while not search_end:
            snake_case_	=				current_state.score()
            if best_state is None or current_score > best_state.score():
                  snake_case_	=				current_state
            scores.append(__a )
            iterations += 1
            snake_case_	=				None
            snake_case_	=				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_	=				random.randint(0 , len(__a ) - 1 )  # picking a random neighbor
                  snake_case_	=				neighbors.pop(__a )
                  snake_case_	=				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_	=				change * -1  # in case we are finding minimum
                  if change > 0:  # improves the solution
                        snake_case_	=				picked_neighbor
                  else:
                        snake_case_	=				(math.e) ** (
                            change / current_temp
                        )  # probability generation function
                        if random.random() < probability:  # random number within probability
                              snake_case_	=				picked_neighbor
            snake_case_	=				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_	=				True
            else:
                  snake_case_	=				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 	__lowerCAmelCase   (SCREAMING_SNAKE_CASE , SCREAMING_SNAKE_CASE )->  str:




         """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 	__lowerCAmelCase   (SCREAMING_SNAKE_CASE , SCREAMING_SNAKE_CASE )->  List[Any]:




         """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 unittest

from transformers.utils.backbone_utils import (
    BackboneMixin,
    get_aligned_output_features_output_indices,
    verify_out_features_out_indices,
)







class lowerCAmelCase_						(			unittest.TestCase	):

 '''simple docstring'''

 def 						UpperCamelCase__					(     self ):
       snake_case_	=				['''a''', '''b''', '''c''']

       # Defaults to last layer if both are None
       snake_case_	,   snake_case_	=				get_aligned_output_features_output_indices(_UpperCAmelCase		,				_UpperCAmelCase		,				_UpperCAmelCase )
       self.assertEqual(_UpperCAmelCase		,				['''c'''] )
       self.assertEqual(_UpperCAmelCase		,				[2] )

       # Out indices set to match out features
       snake_case_	,   snake_case_	=				get_aligned_output_features_output_indices(['''a''', '''c''']		,				_UpperCAmelCase		,				_UpperCAmelCase )
       self.assertEqual(_UpperCAmelCase		,				['''a''', '''c'''] )
       self.assertEqual(_UpperCAmelCase		,				[0, 2] )

       # Out features set to match out indices
       snake_case_	,   snake_case_	=				get_aligned_output_features_output_indices(_UpperCAmelCase		,				[0, 2]		,				_UpperCAmelCase )
       self.assertEqual(_UpperCAmelCase		,				['''a''', '''c'''] )
       self.assertEqual(_UpperCAmelCase		,				[0, 2] )

       # Out features selected from negative indices
       snake_case_	,   snake_case_	=				get_aligned_output_features_output_indices(_UpperCAmelCase		,				[-3, -1]		,				_UpperCAmelCase )
       self.assertEqual(_UpperCAmelCase		,				['''a''', '''c'''] )
       self.assertEqual(_UpperCAmelCase		,				[-3, -1] )



 def 						UpperCamelCase__					(     self ):
       # Stage names must be set
       with self.assertRaises(_UpperCAmelCase ):
             verify_out_features_out_indices(['''a''', '''b''']		,				(0, 1)		,				_UpperCAmelCase )

       # Out features must be a list
       with self.assertRaises(_UpperCAmelCase ):
             verify_out_features_out_indices(('''a''', '''b''')		,				(0, 1)		,				['''a''', '''b'''] )

       # Out features must be a subset of stage names
       with self.assertRaises(_UpperCAmelCase ):
             verify_out_features_out_indices(['''a''', '''b''']		,				(0, 1)		,				['''a'''] )

       # Out indices must be a list or tuple
       with self.assertRaises(_UpperCAmelCase ):
             verify_out_features_out_indices(_UpperCAmelCase		,				0		,				['''a''', '''b'''] )

       # Out indices must be a subset of stage names
       with self.assertRaises(_UpperCAmelCase ):
             verify_out_features_out_indices(_UpperCAmelCase		,				(0, 1)		,				['''a'''] )

       # Out features and out indices must be the same length
       with self.assertRaises(_UpperCAmelCase ):
             verify_out_features_out_indices(['''a''', '''b''']		,				(0,)		,				['''a''', '''b''', '''c'''] )

       # Out features should match out indices
       with self.assertRaises(_UpperCAmelCase ):
             verify_out_features_out_indices(['''a''', '''b''']		,				(0, 2)		,				['''a''', '''b''', '''c'''] )

       # Out features and out indices should be in order
       with self.assertRaises(_UpperCAmelCase ):
             verify_out_features_out_indices(['''b''', '''a''']		,				(0, 1)		,				['''a''', '''b'''] )

       # Check passes with valid inputs
       verify_out_features_out_indices(['''a''', '''b''', '''d''']		,				(0, 1, -1)		,				['''a''', '''b''', '''c''', '''d'''] )





 def 						UpperCamelCase__					(     self ):
       snake_case_	=				BackboneMixin()

       snake_case_	=				['''a''', '''b''', '''c''']
       snake_case_	=				['''a''', '''c''']
       snake_case_	=				[0, 2]

       # Check that the output features and indices are set correctly
       self.assertEqual(backbone.out_features		,				['''a''', '''c'''] )
       self.assertEqual(backbone.out_indices		,				[0, 2] )

       # Check out features and indices are updated correctly
       snake_case_	=				['''a''', '''b''']
       self.assertEqual(backbone.out_features		,				['''a''', '''b'''] )
       self.assertEqual(backbone.out_indices		,				[0, 1] )

       snake_case_	=				[-3, -1]
       self.assertEqual(backbone.out_features		,				['''a''', '''c'''] )
       self.assertEqual(backbone.out_indices		,				[-3, -1] )