import math as m


def SCREAMING_SNAKE_CASE				(     lowercase_:	List[str]		,						lowercase_:	List[Any]		,						lowercase_:	Tuple=0.001				):
       return (f(a + h				) - f(a - h				)) / (2 * h)


def SCREAMING_SNAKE_CASE				(     lowercase_:	Optional[int]		,						lowercase_:	int=0		,						lowercase_:	Dict=100		,						lowercase_:	Optional[int]=0.0001		,						lowercase_:	Optional[int]=1e-6		,						lowercase_:	Optional[int]=False				):
       _UpperCamelCase     :       Dict  						=  xa  # set the initial guess
       _UpperCamelCase     :       str  						=  [a]
       _UpperCamelCase     :       Optional[Any]  						=  abs(f(_UpperCAmelCase				)				)
       _UpperCamelCase     :       List[Any]  						=  lambda lowercase_				: 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'				)
              _UpperCamelCase     :       Dict  						=  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					=				lambda x: m.tanh(x) ** 2 - m.exp(3 * x)  # noqa: E731
 UpperCAmelCase		,					UpperCAmelCase		,					UpperCAmelCase					=				newton_raphson(
     f, xa=10, maxiter=10_00, 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}}}''')




from ..utils import requires_backends


UpperCAmelCase					=				None




class    __lowerCAmelCase  :



 '''simple docstring'''

 def __init__(			self       :		Optional[int]       ,			*lowerCamelCase       :		Dict       ,			**lowerCamelCase       :		int  ) ->							Tuple:
        requires_backends(self       ,			['detectron2']  )

 @classmethod
 def 					__snake_case					(			cls       :		Optional[Any]       ,			*lowerCamelCase       :		Optional[int]       ,			**lowerCamelCase       :		Tuple  ) ->							List[str]:
        requires_backends(cls       ,			['detectron2']  )



