



"""simple docstring"""
import math
class 							lowerCamelCase    :






					'''simple docstring'''





					def __init__(			self:				Optional[int]		,	snake_case:				int		,	snake_case:				int		,	snake_case:				int		,	snake_case:				Union[str, Any]		)  ->      str:
											snake_case_					:Tuple		=     x
											snake_case_					:List[Any]		=     y
											snake_case_					:Any		=     step_size
											snake_case_					:Tuple		=     function_to_optimize






					def   lowerCAmelCase_							(			self:				Tuple		)  ->      int:
											return self.function(self.x		,	self.y		)






					def   lowerCAmelCase_							(			self:				Optional[int]		)  ->      Optional[int]:
											snake_case_					:Tuple		=     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:				str		)  ->      Tuple:
											return hash(str(self		)		)






					def __eq__(			self:				Tuple		,	snake_case:				List[str]		)  ->      Optional[int]:
											if isinstance(snake_case		,	snake_case		):
																	return hash(str(self		)		) == hash(str(snake_case		)		)
											return False






					def __str__(			self:				Tuple		)  ->      str:
											return f"""x: {self.x} y: {self.y}"""

def   A_    (     _lowercase,   _lowercase = True,   _lowercase = math.inf,   _lowercase = -math.inf,   _lowercase = math.inf,   _lowercase = -math.inf,   _lowercase = False,   _lowercase = 10000,   ):







						'''simple docstring'''


						snake_case_					:Tuple		=     search_prob
						snake_case_					:int		=     []  # list to store the current score at each iteration
						snake_case_					:Union[str, Any]		=     0
						snake_case_					:Optional[Any]		=     False
						snake_case_					:str		=     set()
						while not solution_found and iterations < max_iter:
												visited.add(_lowercase      )
												iterations += 1
												snake_case_					:Dict		=     current_state.score()
												scores.append(_lowercase      )
												snake_case_					:Any		=     current_state.get_neighbors()
												snake_case_					:Optional[int]		=     -math.inf
												snake_case_					:List[str]		=     math.inf
												snake_case_					:Any		=     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
																		snake_case_					:List[str]		=     neighbor.score() - current_score
																		if find_max:  # finding max
																								# going to direction with greatest ascent
																								if change > max_change and change > 0:
																														snake_case_					:int		=     change
																														snake_case_					:Optional[int]		=     neighbor
																		else:  # finding min
																								# to direction with greatest descent
																								if change < min_change and change < 0:
																														snake_case_					:Any		=     change
																														snake_case_					:Optional[int]		=     neighbor
												if next_state is not None:
																		# we found at least one neighbor which improved the current state
																		snake_case_					:Tuple		=     next_state
												else:
																		# since we have no neighbor that improves the solution we stop the search
																		snake_case_					:Union[str, Any]		=     True

						if visualization:
												from matplotlib import pyplot as plt

												plt.plot(range(_lowercase      ),   _lowercase      )
												plt.xlabel("""Iterations"""      )
												plt.ylabel("""Function values"""      )
												plt.show()

						return current_state


if __name__ == "__main__":
						import doctest

						doctest.testmod()
						def   A_    (     _lowercase,   _lowercase      ):







												'''simple docstring'''


												return (x**2) + (y**2)

						# starting the problem with initial coordinates (3, 4)
						__a           =							SearchProblem(x=3, y=4, step_size=1, function_to_optimize=test_fa)
						__a           =							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)
						__a           =							SearchProblem(x=12, y=47, step_size=1, function_to_optimize=test_fa)
						__a           =							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   A_    (     _lowercase,   _lowercase      ):







												'''simple docstring'''


												return (3 * x**2) - (6 * y)

						__a           =							SearchProblem(x=3, y=4, step_size=1, function_to_optimize=test_fa)
						__a           =							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()}"""
						)




'''simple docstring'''



import os
import unittest

import pytest
from parameterized import parameterized

from transformers.testing_utils import require_torch, require_torch_gpu, slow, torch_device


# skipping in unittest tests

__UpperCAmelCase     :Tuple												=  [(1,)]




def       _a      (		):





     '''simple docstring'''






     __UpperCAmelCase      :					Any    				=     bool(os.getenv('''RUN_SLOW'''     ,   0    )    )
     if run_slow:
          assert True
     else:
          assert False, "should have been skipped"




def       _a      (		):





     '''simple docstring'''






     __UpperCAmelCase      :					str    				=     bool(os.getenv('''RUN_SLOW'''     ,   0    )    )
     if run_slow and torch_device == "cuda":
          assert True
     else:
          assert False, "should have been skipped"



@require_torch
class       a							(						unittest.TestCase			):


     """simple docstring"""






     @slow
     @require_torch_gpu
     def 					lowerCamelCase__					(							self	:						Tuple     )		->				str:
          check_slow_torch_cuda()

     @require_torch_gpu
     @slow
     def 					lowerCamelCase__					(							self	:						Any     )		->				List[Any]:
          check_slow_torch_cuda()






     @parameterized.expand(snake_case     )
     @slow
     def 					lowerCamelCase__					(							self	:						Union[str, Any]				,					snake_case	:						int=None     )		->				Union[str, Any]:
          check_slow()




@slow
@require_torch_gpu
def       _a      (		):





     '''simple docstring'''






     check_slow_torch_cuda()




@require_torch_gpu
@slow
def       _a      (		):





     '''simple docstring'''






     check_slow_torch_cuda()




@slow
@pytest.mark.parametrize('''param'''     ,   [1]    )
def       _a      (		_lowercase   :      Union[str, Any]    ):





     '''simple docstring'''






     check_slow()




@pytest.mark.parametrize('''param'''     ,   [1]    )
@slow
def       _a      (		_lowercase   :      Dict    ):





     '''simple docstring'''






     check_slow()