
'''simple docstring'''



import math as m
def       lowerCAmelCase_		( SCREAMING_SNAKE_CASE_			,					SCREAMING_SNAKE_CASE_			,					SCREAMING_SNAKE_CASE_=0.001  )   ->   Optional[Any]:




   """simple docstring"""
   return (f(a + h  ) - f(a - h  )) / (2 * h)
def       lowerCAmelCase_		( SCREAMING_SNAKE_CASE_			,					SCREAMING_SNAKE_CASE_=0			,					SCREAMING_SNAKE_CASE_=1_00			,					SCREAMING_SNAKE_CASE_=0.0001			,					SCREAMING_SNAKE_CASE_=1e-6			,					SCREAMING_SNAKE_CASE_=False  )   ->   Any:




   """simple docstring"""
   _SCREAMING_SNAKE_CASE          = xa  # set the initial guess
   _SCREAMING_SNAKE_CASE          = [a]
   _SCREAMING_SNAKE_CASE          = abs(f(SCREAMING_SNAKE_CASE_  )  )
   _SCREAMING_SNAKE_CASE          = lambda SCREAMING_SNAKE_CASE_  : calc_derivative(SCREAMING_SNAKE_CASE_			,					SCREAMING_SNAKE_CASE_			,					h=SCREAMING_SNAKE_CASE_  )  # noqa: E731  Derivative of f(x)
   for _ in range(SCREAMING_SNAKE_CASE_  ):
      if fa(SCREAMING_SNAKE_CASE_  ) == 0:
         raise ValueError("""No converging solution found"""  )
      _SCREAMING_SNAKE_CASE          = a - f(SCREAMING_SNAKE_CASE_  ) / fa(SCREAMING_SNAKE_CASE_  )  # Calculate the next estimate
      if logsteps:
         steps.append(SCREAMING_SNAKE_CASE_  )
      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__					:						Any											=     lambda x: m.tanh(x) ** 2 - m.exp(3 * x)  # noqa: E731
     UpperCamelCase__							,					UpperCamelCase__							,					UpperCamelCase__					:						Dict											=     newton_raphson(
         f, xa=10, maxiter=1_000, 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}}}""")













def 			lowerCamelCase_		(					lowerCAmelCase:		list			,							lowerCAmelCase:		list )->						list:
  _snake_case      : int														=		len(lowerCAmelCase )
  _snake_case      : int														=		len(lowerCAmelCase )
  _snake_case      : int														=		(
      first_input_list_length
      if first_input_list_length > second_input_list_length
      else second_input_list_length
  )
  _snake_case      : list														=		[]
  for char_count in range(lowerCAmelCase ):
    if char_count < first_input_list_length:
      output_result_list.append(first_input_list[char_count] )
    if char_count < second_input_list_length:
      output_result_list.append(second_input_list[char_count] )

  return output_result_list


if __name__ == "__main__":
      print(alternative_list_arrange(["""A""", """B""", """C"""], [1, 2, 3, 4, 5]), end=""" """)




