





from sympy import diff, lambdify, symbols
from sympy.functions import *  # noqa: F403





def 				__lowerCAmelCase(       _SCREAMING_SNAKE_CASE							,     _SCREAMING_SNAKE_CASE							,     _SCREAMING_SNAKE_CASE = "x"							,     _SCREAMING_SNAKE_CASE = 10**-10							,     _SCREAMING_SNAKE_CASE = 1							,     )							-> complex:




    """simple docstring"""




    _A     =							symbols(_SCREAMING_SNAKE_CASE				)
    _A     =							lambdify(_SCREAMING_SNAKE_CASE							,     _SCREAMING_SNAKE_CASE				)
    _A     =							lambdify(_SCREAMING_SNAKE_CASE							,     diff(_SCREAMING_SNAKE_CASE							,     _SCREAMING_SNAKE_CASE				)				)

    _A     =							starting_point

    while True:
        if diff_function(_SCREAMING_SNAKE_CASE				) != 0:
            _A     =							prev_guess - multiplicity * func(_SCREAMING_SNAKE_CASE				) / diff_function(
                _SCREAMING_SNAKE_CASE				)
        else:
            raise ZeroDivisionError('Could not find root'				) from None

        # Precision is checked by comparing the difference of consecutive guesses
        if abs(next_guess - prev_guess				) < precision:
            return next_guess

        _A     =							next_guess


# Let's Execute
if __name__ == "__main__":
 # Find root of trigonometric function
 # Find value of pi
 print(f"The root of sin(x) = 0 is {newton_raphson('sin(x)', 2)}")

 # Find root of polynomial
 # Find fourth Root of 5
 print(f"The root of x**4 - 5 = 0 is {newton_raphson('x**4 -5', 0.4 +5j)}")

 # Find value of e
 print(
     "The root of log(y) - 1 = 0 is ",
     f"{newton_raphson('log(y) - 1', 2, variable='y')}",
 )

 # Exponential Roots
 print(
     "The root of exp(x) - 1 = 0 is",
     f"{newton_raphson('exp(x) - 1', 10, precision=0.0_0_5)}",
 )

 # Find root of cos(x)
 print(f"The root of cos(x) = 0 is {newton_raphson('cos(x)', 0)}")












from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_sentencepiece_available


__A							:			Optional[Any]         =			{}


try:
 if not is_sentencepiece_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 __A							:			Optional[int]         =			["MLukeTokenizer"]

if TYPE_CHECKING:
 try:
  if not is_sentencepiece_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .tokenization_mluke import MLukeTokenizer


else:
 import sys

 __A							:			List[str]         =			_LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)





