import math
class 				a_ :






 '''simple docstring'''






 def __init__(			self					:  Any			,    lowercase__					:  int			,    lowercase__					:  int			,    lowercase__					:  int			,    lowercase__					:  Optional[Any]):







        '''simple docstring'''



        lowerCAmelCase__     	=					x
        lowerCAmelCase__     	=					y
        lowerCAmelCase__     	=					step_size
        lowerCAmelCase__     	=					function_to_optimize




 def 		__snake_case						(			self					:  Union[str, Any]):







        '''simple docstring'''



        return self.function(self.x			,    self.y)




 def 		__snake_case						(			self					:  Optional[Any]):







        '''simple docstring'''



        lowerCAmelCase__     	=					self.step_size
        return [
            SearchProblem(lowercase__			,    lowercase__			,    lowercase__			,    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					:  Optional[int]):







        '''simple docstring'''



        return hash(str(self))




 def __eq__(			self					:  Dict			,    lowercase__					:  Optional[int]):







        '''simple docstring'''



        if isinstance(lowercase__			,    lowercase__):
               return hash(str(self)) == hash(str(lowercase__))
        return False




 def __str__(			self					:  Dict):







        '''simple docstring'''



        return F"""x: {self.x} y: {self.y}"""






def       __lowerCamelCase		(						lowerCAmelCase__	,  lowerCAmelCase__ = True	,  lowerCAmelCase__ = math.inf	,  lowerCAmelCase__ = -math.inf	,  lowerCAmelCase__ = math.inf	,  lowerCAmelCase__ = -math.inf	,  lowerCAmelCase__ = False	,  lowerCAmelCase__ = 1_0_0_0_0	,  ):
       lowerCAmelCase__     	=					search_prob
       lowerCAmelCase__     	=					[]  # list to store the current score at each iteration
       lowerCAmelCase__     	=					0
       lowerCAmelCase__     	=					False
       lowerCAmelCase__     	=					set()
       while not solution_found and iterations < max_iter:
              visited.add(lowerCAmelCase__	)
              iterations += 1
              lowerCAmelCase__     	=					current_state.score()
              scores.append(lowerCAmelCase__	)
              lowerCAmelCase__     	=					current_state.get_neighbors()
              lowerCAmelCase__     	=					-math.inf
              lowerCAmelCase__     	=					math.inf
              lowerCAmelCase__     	=					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
                     lowerCAmelCase__     	=					neighbor.score() - current_score
                     if find_max:  # finding max
                            # going to direction with greatest ascent
                            if change > max_change and change > 0:
                                   lowerCAmelCase__     	=					change
                                   lowerCAmelCase__     	=					neighbor
                     else:  # finding min
                            # to direction with greatest descent
                            if change < min_change and change < 0:
                                   lowerCAmelCase__     	=					change
                                   lowerCAmelCase__     	=					neighbor
              if next_state is not None:
                     # we found at least one neighbor which improved the current state
                     lowerCAmelCase__     	=					next_state
              else:
                     # since we have no neighbor that improves the solution we stop the search
                     lowerCAmelCase__     	=					True

       if visualization:
              from matplotlib import pyplot as plt

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

       return current_state


if __name__ == "__main__":
    import doctest

    doctest.testmod()






    def       __lowerCamelCase		(						lowerCAmelCase__	,  lowerCAmelCase__	):
           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=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()}'
    )






    def       __lowerCamelCase		(						lowerCAmelCase__	,  lowerCAmelCase__	):
           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()}'
    )





"""simple docstring"""







from typing import TYPE_CHECKING

from ..utils import OptionalDependencyNotAvailable, _LazyModule, is_flax_available, is_tf_available, is_torch_available


UpperCAmelCase:   int       			=							{
    """configuration_utils""": ["""GenerationConfig"""],
    """streamers""": ["""TextIteratorStreamer""", """TextStreamer"""],
}

try:
		if not is_torch_available():
				raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
		pass
else:
		UpperCAmelCase:   List[Any]       			=							[
		    """Constraint""",
		    """ConstraintListState""",
		    """DisjunctiveConstraint""",
		    """PhrasalConstraint""",
		]
		UpperCAmelCase:   Optional[Any]       			=							[
		    """BeamHypotheses""",
		    """BeamScorer""",
		    """BeamSearchScorer""",
		    """ConstrainedBeamSearchScorer""",
		]
		UpperCAmelCase:   Any       			=							[
		    """EpsilonLogitsWarper""",
		    """EtaLogitsWarper""",
		    """ForcedBOSTokenLogitsProcessor""",
		    """ForcedEOSTokenLogitsProcessor""",
		    """HammingDiversityLogitsProcessor""",
		    """InfNanRemoveLogitsProcessor""",
		    """LogitsProcessor""",
		    """LogitsProcessorList""",
		    """LogitsWarper""",
		    """MinLengthLogitsProcessor""",
		    """MinNewTokensLengthLogitsProcessor""",
		    """NoBadWordsLogitsProcessor""",
		    """NoRepeatNGramLogitsProcessor""",
		    """PrefixConstrainedLogitsProcessor""",
		    """RepetitionPenaltyLogitsProcessor""",
		    """SequenceBiasLogitsProcessor""",
		    """EncoderRepetitionPenaltyLogitsProcessor""",
		    """TemperatureLogitsWarper""",
		    """TopKLogitsWarper""",
		    """TopPLogitsWarper""",
		    """TypicalLogitsWarper""",
		    """EncoderNoRepeatNGramLogitsProcessor""",
		    """ExponentialDecayLengthPenalty""",
		    """LogitNormalization""",
		]
		UpperCAmelCase:   str       			=							[
		    """MaxNewTokensCriteria""",
		    """MaxLengthCriteria""",
		    """MaxTimeCriteria""",
		    """StoppingCriteria""",
		    """StoppingCriteriaList""",
		    """validate_stopping_criteria""",
		]
		UpperCAmelCase:   Optional[Any]       			=							[
		    """GenerationMixin""",
		    """top_k_top_p_filtering""",
		    """GreedySearchEncoderDecoderOutput""",
		    """GreedySearchDecoderOnlyOutput""",
		    """SampleEncoderDecoderOutput""",
		    """SampleDecoderOnlyOutput""",
		    """BeamSearchEncoderDecoderOutput""",
		    """BeamSearchDecoderOnlyOutput""",
		    """BeamSampleEncoderDecoderOutput""",
		    """BeamSampleDecoderOnlyOutput""",
		    """ContrastiveSearchEncoderDecoderOutput""",
		    """ContrastiveSearchDecoderOnlyOutput""",
		]

try:
		if not is_tf_available():
				raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
		pass
else:
		UpperCAmelCase:   Any       			=							[
		    """TFForcedBOSTokenLogitsProcessor""",
		    """TFForcedEOSTokenLogitsProcessor""",
		    """TFLogitsProcessor""",
		    """TFLogitsProcessorList""",
		    """TFLogitsWarper""",
		    """TFMinLengthLogitsProcessor""",
		    """TFNoBadWordsLogitsProcessor""",
		    """TFNoRepeatNGramLogitsProcessor""",
		    """TFRepetitionPenaltyLogitsProcessor""",
		    """TFTemperatureLogitsWarper""",
		    """TFTopKLogitsWarper""",
		    """TFTopPLogitsWarper""",
		    """TFForceTokensLogitsProcessor""",
		    """TFSuppressTokensAtBeginLogitsProcessor""",
		    """TFSuppressTokensLogitsProcessor""",
		]
		UpperCAmelCase:   Tuple       			=							[
		    """TFGenerationMixin""",
		    """tf_top_k_top_p_filtering""",
		    """TFGreedySearchDecoderOnlyOutput""",
		    """TFGreedySearchEncoderDecoderOutput""",
		    """TFSampleEncoderDecoderOutput""",
		    """TFSampleDecoderOnlyOutput""",
		    """TFBeamSearchEncoderDecoderOutput""",
		    """TFBeamSearchDecoderOnlyOutput""",
		    """TFBeamSampleEncoderDecoderOutput""",
		    """TFBeamSampleDecoderOnlyOutput""",
		    """TFContrastiveSearchEncoderDecoderOutput""",
		    """TFContrastiveSearchDecoderOnlyOutput""",
		]

try:
		if not is_flax_available():
				raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
		pass
else:
		UpperCAmelCase:   Tuple       			=							[
		    """FlaxForcedBOSTokenLogitsProcessor""",
		    """FlaxForcedEOSTokenLogitsProcessor""",
		    """FlaxLogitsProcessor""",
		    """FlaxLogitsProcessorList""",
		    """FlaxLogitsWarper""",
		    """FlaxMinLengthLogitsProcessor""",
		    """FlaxTemperatureLogitsWarper""",
		    """FlaxTopKLogitsWarper""",
		    """FlaxTopPLogitsWarper""",
		]
		UpperCAmelCase:   int       			=							[
		    """FlaxGenerationMixin""",
		    """FlaxGreedySearchOutput""",
		    """FlaxSampleOutput""",
		    """FlaxBeamSearchOutput""",
		]

if TYPE_CHECKING:
		from .configuration_utils import GenerationConfig
		from .streamers import TextIteratorStreamer, TextStreamer

		try:
				if not is_torch_available():
						raise OptionalDependencyNotAvailable()
		except OptionalDependencyNotAvailable:
				pass
		else:
				from .beam_constraints import Constraint, ConstraintListState, DisjunctiveConstraint, PhrasalConstraint
				from .beam_search import BeamHypotheses, BeamScorer, BeamSearchScorer, ConstrainedBeamSearchScorer
				from .logits_process import (
				    EncoderNoRepeatNGramLogitsProcessor,
				    EncoderRepetitionPenaltyLogitsProcessor,
				    EpsilonLogitsWarper,
				    EtaLogitsWarper,
				    ExponentialDecayLengthPenalty,
				    ForcedBOSTokenLogitsProcessor,
				    ForcedEOSTokenLogitsProcessor,
				    HammingDiversityLogitsProcessor,
				    InfNanRemoveLogitsProcessor,
				    LogitNormalization,
				    LogitsProcessor,
				    LogitsProcessorList,
				    LogitsWarper,
				    MinLengthLogitsProcessor,
				    MinNewTokensLengthLogitsProcessor,
				    NoBadWordsLogitsProcessor,
				    NoRepeatNGramLogitsProcessor,
				    PrefixConstrainedLogitsProcessor,
				    RepetitionPenaltyLogitsProcessor,
				    SequenceBiasLogitsProcessor,
				    TemperatureLogitsWarper,
				    TopKLogitsWarper,
				    TopPLogitsWarper,
				    TypicalLogitsWarper,
				)
				from .stopping_criteria import (
				    MaxLengthCriteria,
				    MaxNewTokensCriteria,
				    MaxTimeCriteria,
				    StoppingCriteria,
				    StoppingCriteriaList,
				    validate_stopping_criteria,
				)
				from .utils import (
				    BeamSampleDecoderOnlyOutput,
				    BeamSampleEncoderDecoderOutput,
				    BeamSearchDecoderOnlyOutput,
				    BeamSearchEncoderDecoderOutput,
				    ContrastiveSearchDecoderOnlyOutput,
				    ContrastiveSearchEncoderDecoderOutput,
				    GenerationMixin,
				    GreedySearchDecoderOnlyOutput,
				    GreedySearchEncoderDecoderOutput,
				    SampleDecoderOnlyOutput,
				    SampleEncoderDecoderOutput,
				    top_k_top_p_filtering,
				)

		try:
				if not is_tf_available():
						raise OptionalDependencyNotAvailable()
		except OptionalDependencyNotAvailable:
				pass
		else:
				from .tf_logits_process import (
				    TFForcedBOSTokenLogitsProcessor,
				    TFForcedEOSTokenLogitsProcessor,
				    TFForceTokensLogitsProcessor,
				    TFLogitsProcessor,
				    TFLogitsProcessorList,
				    TFLogitsWarper,
				    TFMinLengthLogitsProcessor,
				    TFNoBadWordsLogitsProcessor,
				    TFNoRepeatNGramLogitsProcessor,
				    TFRepetitionPenaltyLogitsProcessor,
				    TFSuppressTokensAtBeginLogitsProcessor,
				    TFSuppressTokensLogitsProcessor,
				    TFTemperatureLogitsWarper,
				    TFTopKLogitsWarper,
				    TFTopPLogitsWarper,
				)
				from .tf_utils import (
				    TFBeamSampleDecoderOnlyOutput,
				    TFBeamSampleEncoderDecoderOutput,
				    TFBeamSearchDecoderOnlyOutput,
				    TFBeamSearchEncoderDecoderOutput,
				    TFContrastiveSearchDecoderOnlyOutput,
				    TFContrastiveSearchEncoderDecoderOutput,
				    TFGenerationMixin,
				    TFGreedySearchDecoderOnlyOutput,
				    TFGreedySearchEncoderDecoderOutput,
				    TFSampleDecoderOnlyOutput,
				    TFSampleEncoderDecoderOutput,
				    tf_top_k_top_p_filtering,
				)

		try:
				if not is_flax_available():
						raise OptionalDependencyNotAvailable()
		except OptionalDependencyNotAvailable:
				pass
		else:
				from .flax_logits_process import (
				    FlaxForcedBOSTokenLogitsProcessor,
				    FlaxForcedEOSTokenLogitsProcessor,
				    FlaxLogitsProcessor,
				    FlaxLogitsProcessorList,
				    FlaxLogitsWarper,
				    FlaxMinLengthLogitsProcessor,
				    FlaxTemperatureLogitsWarper,
				    FlaxTopKLogitsWarper,
				    FlaxTopPLogitsWarper,
				)
				from .flax_utils import FlaxBeamSearchOutput, FlaxGenerationMixin, FlaxGreedySearchOutput, FlaxSampleOutput
else:
		import sys

		UpperCAmelCase:   Optional[Any]       			=							_LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)



