


'''simple docstring'''


import math as m







def     snake_case_     (						SCREAMING_SNAKE_CASE__							,   SCREAMING_SNAKE_CASE__							,   SCREAMING_SNAKE_CASE__=0.0_0_1  ):







				"""simple docstring"""





				return (f(a + h  ) - f(a - h  )) / (2 * h)







def     snake_case_     (						SCREAMING_SNAKE_CASE__							,   SCREAMING_SNAKE_CASE__=0							,   SCREAMING_SNAKE_CASE__=100							,   SCREAMING_SNAKE_CASE__=0.0_0_0_1							,   SCREAMING_SNAKE_CASE__=1E-6							,   SCREAMING_SNAKE_CASE__=False  ):







				"""simple docstring"""





				_SCREAMING_SNAKE_CASE				: Any  	=   xa  # set the initial guess
				_SCREAMING_SNAKE_CASE				: List[Any]  	=   [a]
				_SCREAMING_SNAKE_CASE				: List[Any]  	=   abs(f(UpperCamelCase__  )  )
				_SCREAMING_SNAKE_CASE				: int  	=   lambda SCREAMING_SNAKE_CASE__  : calc_derivative(UpperCamelCase__							,   UpperCamelCase__							,   h=UpperCamelCase__  )  # noqa: E731  Derivative of f(x)
				for _ in range(UpperCamelCase__  ):
								if fa(UpperCamelCase__  ) == 0:
												raise ValueError("""No converging solution found"""  )
								_SCREAMING_SNAKE_CASE				: str  	=   a - f(UpperCamelCase__  ) / fa(UpperCamelCase__  )  # Calculate the next estimate
								if logsteps:
												steps.append(UpperCamelCase__  )
								if error < maxerror:
												break
				else:
								raise ValueError("""Iteration limit reached, no converging solution found"""  )
				if logsteps:
								# If logstep is true, then log intermediate steps
								return a, error, steps
				return a, error


if __name__ == "__main__":
				from matplotlib import pyplot as plt

				UpperCAmelCase_	:     Dict							     =	lambda x: m.tanh(x) ** 2 - m.exp(3 * x)  # noqa: E731
				UpperCAmelCase_     , UpperCAmelCase_     , UpperCAmelCase_	:     Tuple							     =	newton_raphson(
				    f, xa=10, maxiter=1000, step=1E-6, logsteps=True
				)
				plt.plot([abs(f(x)) for x in steps])
				plt.xlabel('step')
				plt.ylabel('error')
				plt.show()
				print(F"solution = {{{solution:f}}}, error = {{{error:f}}}")








'''simple docstring'''


from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


UpperCAmelCase_	:     Any							     =	{
    'configuration_musicgen': [
        'MUSICGEN_PRETRAINED_CONFIG_ARCHIVE_MAP',
        'MusicgenConfig',
        'MusicgenDecoderConfig',
    ],
    'processing_musicgen': ['MusicgenProcessor'],
}

try:
				if not is_torch_available():
								raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
				pass
else:
				UpperCAmelCase_	:     Any							     =	[
				    'MUSICGEN_PRETRAINED_MODEL_ARCHIVE_LIST',
				    'MusicgenForConditionalGeneration',
				    'MusicgenForCausalLM',
				    'MusicgenModel',
				    'MusicgenPreTrainedModel',
				]

if TYPE_CHECKING:
				from .configuration_musicgen import (
				    MUSICGEN_PRETRAINED_CONFIG_ARCHIVE_MAP,
				    MusicgenConfig,
				    MusicgenDecoderConfig,
				)
				from .processing_musicgen import MusicgenProcessor

				try:
								if not is_torch_available():
												raise OptionalDependencyNotAvailable()
				except OptionalDependencyNotAvailable:
								pass
				else:
								from .modeling_musicgen import (
								    MUSICGEN_PRETRAINED_MODEL_ARCHIVE_LIST,
								    MusicgenForCausalLM,
								    MusicgenForConditionalGeneration,
								    MusicgenModel,
								    MusicgenPreTrainedModel,
								)

else:
				import sys

				UpperCAmelCase_	:     Tuple							     =	_LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)




