


from collections.abc import Callable

A_    :					Any             =Callable[[float], float]  # type alias for a real -> real function




def   lowerCamelCase_       (					UpperCAmelCase__       ,    UpperCAmelCase__       ,    UpperCAmelCase__       ,    ):



						"""simple docstring"""




						a_					=		float(UpperCAmelCase__      )
						while True:
												try:
																		a_					=		prev_guess - function(UpperCAmelCase__      ) / derivative(UpperCAmelCase__      )
												except ZeroDivisionError:
																		raise ZeroDivisionError("""Could not find root"""      ) from None
												if abs(prev_guess - next_guess      ) < 10**-5:
																		return next_guess
												a_					=		next_guess




def   lowerCamelCase_       (					UpperCAmelCase__      ):



						"""simple docstring"""




						return (x**3) - (2 * x) - 5




def   lowerCamelCase_       (					UpperCAmelCase__      ):



						"""simple docstring"""




						return 3 * (x**2) - 2


if __name__ == "__main__":
	print(newton(f, fa, 3))



import os
import unittest

from transformers import MPNetTokenizerFast
from transformers.models.mpnet.tokenization_mpnet import VOCAB_FILES_NAMES, MPNetTokenizer
from transformers.testing_utils import require_tokenizers, slow

from ...test_tokenization_common import TokenizerTesterMixin





@require_tokenizers
class        lowercase_				( UpperCamelCase__			,unittest.TestCase):






							"""simple docstring"""







							snake_case_        =		MPNetTokenizer
							snake_case_        =		MPNetTokenizerFast
							snake_case_        =		True
							snake_case_        =		True


							def 						lowercase__     (   self		):







													"""simple docstring"""


													super().setUp()

													a_					=		[
													    """[UNK]""",
													    """[CLS]""",
													    """[SEP]""",
													    """[PAD]""",
													    """[MASK]""",
													    """want""",
													    """##want""",
													    """##ed""",
													    """wa""",
													    """un""",
													    """runn""",
													    """##ing""",
													    """,""",
													    """low""",
													    """lowest""",
													]
													a_					=		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 						lowercase__     (   self			,    _UpperCAmelCase		):







													"""simple docstring"""


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


							def 						lowercase__     (   self		):







													"""simple docstring"""


													a_					=		self.tokenizer_class(self.vocab_file		)

													a_					=		tokenizer.tokenize("""UNwant\u00E9d,running"""		)
													self.assertListEqual(_UpperCAmelCase			,    ["""un""", """##want""", """##ed""", """,""", """runn""", """##ing"""]		)
													self.assertListEqual(tokenizer.convert_tokens_to_ids(_UpperCAmelCase		)			,    [9, 6, 7, 12, 10, 11]		)






							@slow
							def 						lowercase__     (   self		):







													"""simple docstring"""


													a_					=		self.tokenizer_class.from_pretrained("""microsoft/mpnet-base"""		)

													a_					=		tokenizer.encode("""sequence builders"""			,    add_special_tokens=_UpperCAmelCase		)
													a_					=		tokenizer.encode("""multi-sequence build"""			,    add_special_tokens=_UpperCAmelCase		)

													a_					=		tokenizer.build_inputs_with_special_tokens(_UpperCAmelCase		)
													a_					=		tokenizer.build_inputs_with_special_tokens(_UpperCAmelCase			,    _UpperCAmelCase		)

													assert encoded_sentence == [0] + text + [2]
													assert encoded_pair == [0] + text + [2] + [2] + text_a + [2]