




'''simple docstring'''



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







def       _UpperCamelCase			(_lowerCamelCase				:  str ,						_lowerCamelCase				:  complex ,						_lowerCamelCase				:  str = "x" ,						_lowerCamelCase				:  float = 10**-10 ,						_lowerCamelCase				:  int = 1 ,						)-> complex:




     '''simple docstring'''





     __snake_case            =	symbols(_lowerCamelCase						)
     __snake_case            =	lambdify(_lowerCamelCase ,						_lowerCamelCase						)
     __snake_case            =	lambdify(_lowerCamelCase ,						diff(_lowerCamelCase ,						_lowerCamelCase						)						)

     __snake_case            =	starting_point

     while True:
          if diff_function(_lowerCamelCase						) != 0:
               __snake_case            =	prev_guess - multiplicity * func(_lowerCamelCase						) / diff_function(
                   _lowerCamelCase						)
          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

          __snake_case            =	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", 1_0, precision=0.005)}""",
     )

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












'''simple docstring'''



from typing import Optional

import pyspark

from .. import Features, NamedSplit
from ..download import DownloadMode
from ..packaged_modules.spark.spark import Spark
from .abc import AbstractDatasetReader





class      lowerCAmelCase (			__lowerCAmelCase):


       def __init__( self     ,	__SCREAMING_SNAKE_CASE     ,	__SCREAMING_SNAKE_CASE = None     ,	__SCREAMING_SNAKE_CASE = None     ,	__SCREAMING_SNAKE_CASE = True     ,	__SCREAMING_SNAKE_CASE = None     ,	__SCREAMING_SNAKE_CASE = False     ,	__SCREAMING_SNAKE_CASE = None     ,	__SCREAMING_SNAKE_CASE = True     ,	__SCREAMING_SNAKE_CASE = "arrow"     ,	**__SCREAMING_SNAKE_CASE     ,	)   ->	Union[str, Any]:



            '''simple docstring'''




            super().__init__(
                split=__SCREAMING_SNAKE_CASE     ,	features=__SCREAMING_SNAKE_CASE     ,	cache_dir=__SCREAMING_SNAKE_CASE     ,	keep_in_memory=__SCREAMING_SNAKE_CASE     ,	streaming=__SCREAMING_SNAKE_CASE     ,	**__SCREAMING_SNAKE_CASE     ,	)
            __snake_case            =	load_from_cache_file
            __snake_case            =	file_format
            __snake_case            =	Spark(
                df=__SCREAMING_SNAKE_CASE     ,	features=__SCREAMING_SNAKE_CASE     ,	cache_dir=__SCREAMING_SNAKE_CASE     ,	working_dir=__SCREAMING_SNAKE_CASE     ,	**__SCREAMING_SNAKE_CASE     ,	)




       def    lowerCAmelCase   ( self	)   ->	str:



            '''simple docstring'''




            if self.streaming:
                 return self.builder.as_streaming_dataset(split=self.split	)
            __snake_case            =	None if self._load_from_cache_file else DownloadMode.FORCE_REDOWNLOAD
            self.builder.download_and_prepare(
                download_mode=__SCREAMING_SNAKE_CASE     ,	file_format=self._file_format     ,	)
            return self.builder.as_dataset(split=self.split	)






