



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






def  UpperCAmelCase__    (    lowercase__						,       lowercase__						,       lowercase__ = "x"						,       lowercase__ = 10**-10						,       lowercase__ = 1						,       ) ->      complex:
      __lowercase					=				symbols(lowercase__   )
      __lowercase					=				lambdify(lowercase__						,       lowercase__   )
      __lowercase					=				lambdify(lowercase__						,       diff(lowercase__						,       lowercase__   )   )

      __lowercase					=				starting_point

      while True:
            if diff_function(lowercase__   ) != 0:
                  __lowercase					=				prev_guess - multiplicity * func(lowercase__   ) / diff_function(
                      lowercase__   )
            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=0.005)}""",
   )

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










import os
import unittest

from transformers import LxmertTokenizer, LxmertTokenizerFast
from transformers.models.bert.tokenization_bert import VOCAB_FILES_NAMES
from transformers.testing_utils import require_tokenizers

from ...test_tokenization_common import TokenizerTesterMixin
@require_tokenizers
class 			_lowerCAmelCase   ( _UpperCAmelCase    ,					unittest.TestCase			):






			"""simple docstring"""





			lowercase__      :  Tuple      =			LxmertTokenizer
			lowercase__      :  List[str]      =			LxmertTokenizerFast
			lowercase__      :  Optional[Any]      =			True
			lowercase__      :  List[Any]      =			True





			def 		snake_case__			(				self	:       Tuple   )						->					Tuple:
									"""simple docstring"""







									super().setUp()

									__lowercase					=				[
									    """[UNK]""",
									    """[CLS]""",
									    """[SEP]""",
									    """want""",
									    """##want""",
									    """##ed""",
									    """wa""",
									    """un""",
									    """runn""",
									    """##ing""",
									    """,""",
									    """low""",
									    """lowest""",
									]
									__lowercase					=				os.path.join(self.tmpdirname			,     VOCAB_FILES_NAMES["""vocab_file"""]   )
									with open(self.vocab_file			,     """w"""			,     encoding="""utf-8"""   ) as vocab_writer:
															vocab_writer.write("""""".join([x + """\n""" for x in vocab_tokens]   )   )





			def 		snake_case__			(				self	:       Optional[int]			,     lowercase	:       int   )						->					List[Any]:
									"""simple docstring"""







									__lowercase					=				"""UNwant\u00E9d,running"""
									__lowercase					=				"""unwanted, running"""
									return input_text, output_text





			def 		snake_case__			(				self	:       str   )						->					Any:
									"""simple docstring"""







									__lowercase					=				self.tokenizer_class(self.vocab_file   )

									__lowercase					=				tokenizer.tokenize("""UNwant\u00E9d,running"""   )
									self.assertListEqual(lowercase			,     ["""un""", """##want""", """##ed""", """,""", """runn""", """##ing"""]   )
									self.assertListEqual(tokenizer.convert_tokens_to_ids(lowercase   )			,     [7, 4, 5, 10, 8, 9]   )







			def 		snake_case__			(				self	:       Union[str, Any]   )						->					int:
									"""simple docstring"""







									if not self.test_rust_tokenizer:
															return

									__lowercase					=				self.get_tokenizer()
									__lowercase					=				self.get_rust_tokenizer()

									__lowercase					=				"""I was born in 92000, and this is falsé."""

									__lowercase					=				tokenizer.tokenize(lowercase   )
									__lowercase					=				rust_tokenizer.tokenize(lowercase   )
									self.assertListEqual(lowercase			,     lowercase   )

									__lowercase					=				tokenizer.encode(lowercase			,     add_special_tokens=lowercase   )
									__lowercase					=				rust_tokenizer.encode(lowercase			,     add_special_tokens=lowercase   )
									self.assertListEqual(lowercase			,     lowercase   )

									__lowercase					=				self.get_rust_tokenizer()
									__lowercase					=				tokenizer.encode(lowercase   )
									__lowercase					=				rust_tokenizer.encode(lowercase   )
									self.assertListEqual(lowercase			,     lowercase   )





