
"""simple docstring"""






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



def      lowerCAmelCase__			(		__magic_name__			,   __magic_name__			,   __magic_name__ = "x"			,   __magic_name__ = 1_0**-1_0			,   __magic_name__ = 1			,   )						->complex:
			__lowercase       =       symbols(__snake_case      )
			__lowercase       =       lambdify(__snake_case			,   __snake_case      )
			__lowercase       =       lambdify(__snake_case			,   diff(__snake_case			,   __snake_case      )      )

			__lowercase       =       starting_point

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

						__lowercase       =       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)}")






'''simple docstring'''

import contextlib
import importlib
import io
import unittest

import transformers

# Try to import everything from transformers to ensure every object can be loaded.
from transformers import *  # noqa F406
from transformers.testing_utils import DUMMY_UNKNOWN_IDENTIFIER, require_flax, require_tf, require_torch
from transformers.utils import ContextManagers, find_labels, is_flax_available, is_tf_available, is_torch_available


if is_torch_available():
 from transformers import BertForPreTraining, BertForQuestionAnswering, BertForSequenceClassification

if is_tf_available():
 from transformers import TFBertForPreTraining, TFBertForQuestionAnswering, TFBertForSequenceClassification

if is_flax_available():
 from transformers import FlaxBertForPreTraining, FlaxBertForQuestionAnswering, FlaxBertForSequenceClassification


A_     :						Optional[Any]    							=DUMMY_UNKNOWN_IDENTIFIER
# An actual model hosted on huggingface.co

A_     :						Tuple    							='''main'''
# Default branch name
A_     :						Dict    							='''f2c752cfc5c0ab6f4bdec59acea69eefbee381c2'''
# One particular commit (not the top of `main`)
A_     :						int    							='''aaaaaaa'''
# This commit does not exist, so we should 404.

A_     :						List[str]    							='''d9e9f15bc825e4b2c9249e9578f884bbcb5e3684'''
# Sha-1 of config.json on the top of `main`, for checking purposes
A_     :						List[str]    							='''4b243c475af8d0a7754e87d7d096c92e5199ec2fe168a2ee7998e3b8e9bcb1d3'''



@contextlib.contextmanager
def snake_case_      (					)			->					Tuple:
   print('''Welcome!''')
   yield
   print('''Bye!''')



@contextlib.contextmanager
def snake_case_      (					)			->					str:
   print('''Bonjour!''')
   yield
   print('''Au revoir!''')


class     __UpperCAmelCase       ( unittest.TestCase		):





  def 						UpperCAmelCase_	(	self ):
     # If the spec is missing, importlib would not be able to import the module dynamically.
     assert transformers.__spec__ is not None
     assert importlib.util.find_spec('''transformers''' ) is not None






class     __UpperCAmelCase       ( unittest.TestCase		):





  @unittest.mock.patch('''sys.stdout'''    ,     new_callable=io.StringIO )
  def 						UpperCAmelCase_	(	self    ,     _lowerCamelCase ):
     with ContextManagers([] ):
        print('''Transformers are awesome!''' )
     # The print statement adds a new line at the end of the output
     self.assertEqual(mock_stdout.getvalue()    ,     '''Transformers are awesome!\n''' )





  @unittest.mock.patch('''sys.stdout'''    ,     new_callable=io.StringIO )
  def 						UpperCAmelCase_	(	self    ,     _lowerCamelCase ):
     with ContextManagers([context_en()] ):
        print('''Transformers are awesome!''' )
     # The output should be wrapped with an English welcome and goodbye
     self.assertEqual(mock_stdout.getvalue()    ,     '''Welcome!\nTransformers are awesome!\nBye!\n''' )





  @unittest.mock.patch('''sys.stdout'''    ,     new_callable=io.StringIO )
  def 						UpperCAmelCase_	(	self    ,     _lowerCamelCase ):
     with ContextManagers([context_fr(), context_en()] ):
        print('''Transformers are awesome!''' )
     # The output should be wrapped with an English and French welcome and goodbye
     self.assertEqual(mock_stdout.getvalue()    ,     '''Bonjour!\nWelcome!\nTransformers are awesome!\nBye!\nAu revoir!\n''' )





  @require_torch
  def 						UpperCAmelCase_	(	self ):
     self.assertEqual(find_labels(_lowerCamelCase )    ,     ['''labels'''] )
     self.assertEqual(find_labels(_lowerCamelCase )    ,     ['''labels''', '''next_sentence_label'''] )
     self.assertEqual(find_labels(_lowerCamelCase )    ,     ['''start_positions''', '''end_positions'''] )


     class     __UpperCAmelCase       ( __a		):
       pass






     self.assertEqual(find_labels(_lowerCamelCase )    ,     ['''labels'''] )





  @require_tf
  def 						UpperCAmelCase_	(	self ):
     self.assertEqual(find_labels(_lowerCamelCase )    ,     ['''labels'''] )
     self.assertEqual(find_labels(_lowerCamelCase )    ,     ['''labels''', '''next_sentence_label'''] )
     self.assertEqual(find_labels(_lowerCamelCase )    ,     ['''start_positions''', '''end_positions'''] )


     class     __UpperCAmelCase       ( __a		):
       pass






     self.assertEqual(find_labels(_lowerCamelCase )    ,     ['''labels'''] )







  @require_flax
  def 						UpperCAmelCase_	(	self ):
     # Flax models don't have labels
     self.assertEqual(find_labels(_lowerCamelCase )    ,     [] )
     self.assertEqual(find_labels(_lowerCamelCase )    ,     [] )
     self.assertEqual(find_labels(_lowerCamelCase )    ,     [] )


     class     __UpperCAmelCase       ( __a		):
       pass






     self.assertEqual(find_labels(_lowerCamelCase )    ,     [] )





