

import math



class     a  :

     '''simple docstring'''





     def __init__(			self     :    Dict      ,					__snake_case     :    Optional[int]      ,					__snake_case     :    Tuple      ,					__snake_case     :    Optional[int]      ,					__snake_case     :    Dict       ):
         UpperCAmelCase_											=  x
         UpperCAmelCase_											=  y
         UpperCAmelCase_											=  step_size
         UpperCAmelCase_											=  function_to_optimize
     def 						lowerCamelCase_     (			self     :    Dict       ):
         return self.function(self.x      ,					self.y       )
     def 						lowerCamelCase_     (			self     :    int       ):
         UpperCAmelCase_											=  self.step_size
         return [
             SearchProblem(__snake_case      ,					__snake_case      ,					__snake_case      ,					self.function       )
             for x, y in (
                 (self.x - step_size, self.y - step_size),
                 (self.x - step_size, self.y),
                 (self.x - step_size, self.y + step_size),
                 (self.x, self.y - step_size),
                 (self.x, self.y + step_size),
                 (self.x + step_size, self.y - step_size),
                 (self.x + step_size, self.y),
                 (self.x + step_size, self.y + step_size),
             )
         ]
     def __hash__(			self     :    int       ):
         return hash(str(self       )       )
     def __eq__(			self     :    Any      ,					__snake_case     :    List[str]       ):
         if isinstance(__snake_case      ,					__snake_case       ):
             return hash(str(self       )       ) == hash(str(__snake_case       )       )
         return False




     def __str__(			self     :    Optional[Any]       ):
         return F'x: {self.x} y: {self.y}'




def       SCREAMING_SNAKE_CASE			( __UpperCamelCase    :		str ,  __UpperCamelCase    :		str = True ,  __UpperCamelCase    :		str = math.inf ,  __UpperCamelCase    :		str = -math.inf ,  __UpperCamelCase    :		Any = math.inf ,  __UpperCamelCase    :		Optional[Any] = -math.inf ,  __UpperCamelCase    :		Dict = False ,  __UpperCamelCase    :		Any = 1_0000 ,  )						->							Optional[Any]:
    UpperCAmelCase_											=  search_prob
    UpperCAmelCase_											=  []  # list to store the current score at each iteration
    UpperCAmelCase_											=  0
    UpperCAmelCase_											=  False
    UpperCAmelCase_											=  set()
    while not solution_found and iterations < max_iter:
        visited.add(UpperCamelCase_   )
        iterations += 1
        UpperCAmelCase_											=  current_state.score()
        scores.append(UpperCamelCase_   )
        UpperCAmelCase_											=  current_state.get_neighbors()
        UpperCAmelCase_											=  -math.inf
        UpperCAmelCase_											=  math.inf
        UpperCAmelCase_											=  None  # to hold the next best neighbor
        for neighbor in neighbors:
            if neighbor in visited:
                continue  # do not want to visit the same state again
            if (
                neighbor.x > max_x
                or neighbor.x < min_x
                or neighbor.y > max_y
                or neighbor.y < min_y
            ):
                continue  # neighbor outside our bounds
            UpperCAmelCase_											=  neighbor.score() - current_score
            if find_max:  # finding max
                # going to direction with greatest ascent
                if change > max_change and change > 0:
                    UpperCAmelCase_											=  change
                    UpperCAmelCase_											=  neighbor
            else:  # finding min
                # to direction with greatest descent
                if change < min_change and change < 0:
                    UpperCAmelCase_											=  change
                    UpperCAmelCase_											=  neighbor
        if next_state is not None:
            # we found at least one neighbor which improved the current state
            UpperCAmelCase_											=  next_state
        else:
            # since we have no neighbor that improves the solution we stop the search
            UpperCAmelCase_											=  True

    if visualization:
        from matplotlib import pyplot as plt

        plt.plot(range(UpperCamelCase_   ) ,  UpperCamelCase_   )
        plt.xlabel('''Iterations'''   )
        plt.ylabel('''Function values'''   )
        plt.show()

    return current_state


if __name__ == "__main__":
 import doctest

 doctest.testmod()




 def       SCREAMING_SNAKE_CASE			( __UpperCamelCase    :		Any ,  __UpperCamelCase    :		Optional[Any]   )						->							Any:
     return (x**2) + (y**2)

 # starting the problem with initial coordinates (3, 4)
 _lowerCamelCase    				=		SearchProblem(x=3, y=4, step_size=1, function_to_optimize=test_fa)
 _lowerCamelCase    				=		hill_climbing(prob, find_max=False)
 print(
     'The minimum score for f(x, y) = x^2 + y^2 found via hill climbing: '
     F"{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    				=		hill_climbing(
     prob, find_max=False, max_x=1_00, 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()}"
 )




 def       SCREAMING_SNAKE_CASE			( __UpperCamelCase    :		List[Any] ,  __UpperCamelCase    :		int   )						->							Optional[Any]:
     return (3 * x**2) - (6 * y)

 _lowerCamelCase    				=		SearchProblem(x=3, y=4, step_size=1, function_to_optimize=test_fa)
 _lowerCamelCase    				=		hill_climbing(prob, find_max=True)


 print(
     'The maximum score for f(x, y) = x^2 + y^2 found via hill climbing: '
     F"{local_min.score()}"
 )











import unittest
from pathlib import Path
from tempfile import TemporaryDirectory
from unittest.mock import Mock, patch

import diffusers.utils.hub_utils



class     a  (     unittest.TestCase    ):

     '''simple docstring'''





     @patch('''diffusers.utils.hub_utils.get_full_repo_name'''       )
     def 						lowerCamelCase_     (			self     :    List[Any]      ,					__snake_case     :    Mock       ):
         UpperCAmelCase_											=  '''full_repo_name'''
         with TemporaryDirectory() as tmpdir:
             # Dummy args values
             UpperCAmelCase_											=  Mock()
             UpperCAmelCase_											=  tmpdir
             UpperCAmelCase_											=  0
             UpperCAmelCase_											=  '''hub_token'''
             UpperCAmelCase_											=  '''dataset_name'''
             UpperCAmelCase_											=  0.01
             UpperCAmelCase_											=  10_00_00
             UpperCAmelCase_											=  1_00_00
             UpperCAmelCase_											=  0.01
             UpperCAmelCase_											=  0.02
             UpperCAmelCase_											=  0.03
             UpperCAmelCase_											=  0.0_005
             UpperCAmelCase_											=  0.000_001
             UpperCAmelCase_											=  1
             UpperCAmelCase_											=  10
             UpperCAmelCase_											=  0.001
             UpperCAmelCase_											=  0.1
             UpperCAmelCase_											=  0.2
             UpperCAmelCase_											=  True

             # Model card mush be rendered and saved
             diffusers.utils.hub_utils.create_model_card(__snake_case      ,					model_name='''model_name'''       )
             self.assertTrue((Path(__snake_case       ) / '''README.md''').is_file()       )





