"""simple docstring"""




import json
import os
from typing import List, Optional, Tuple

from ...tokenization_utils import PreTrainedTokenizer
from ...utils import logging


UpperCAmelCase       :    Any									=			logging.get_logger(__name__)

UpperCAmelCase       :    Union[str, Any]									=			{
    "vocab_file": "vocab.json",
    "merges_file": "merges.txt",
}

UpperCAmelCase       :    Tuple									=			{
    "vocab_file": {
        "microsoft/biogpt": "https://huggingface.co/microsoft/biogpt/resolve/main/vocab.json",
    },
    "merges_file": {"microsoft/biogpt": "https://huggingface.co/microsoft/biogpt/resolve/main/merges.txt"},
}

UpperCAmelCase       :    Optional[Any]									=			{
    "microsoft/biogpt": 1024,
}



def 				__a       (			_lowercase						):







					"""simple docstring"""





					lowerCamelCase__		:   Any  				=					set()
					lowerCamelCase__		:   str  				=					word[0]
					for char in word[1:]:
										pairs.add((prev_char, char)						)
										lowerCamelCase__		:   int  				=					char
					return pairs





class        __SCREAMING_SNAKE_CASE     (   _lowerCAmelCase							):
				UpperCAmelCase	=      VOCAB_FILES_NAMES
				UpperCAmelCase	=      PRETRAINED_VOCAB_FILES_MAP
				UpperCAmelCase	=      PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
				UpperCAmelCase	=      ['''input_ids''', '''attention_mask''']







				def __init__(    self    :int      ,__UpperCAmelCase    :Dict      ,__UpperCAmelCase    :str      ,__UpperCAmelCase    :Tuple="<unk>"      ,__UpperCAmelCase    :int="<s>"      ,__UpperCAmelCase    :Union[str, Any]="</s>"      ,__UpperCAmelCase    :str="</s>"      ,__UpperCAmelCase    :List[str]="<pad>"      ,**__UpperCAmelCase    :Dict      ,)      ->					int:




									"""simple docstring"""



									super().__init__(
									    bos_token=__UpperCAmelCase      ,eos_token=__UpperCAmelCase      ,sep_token=__UpperCAmelCase      ,unk_token=__UpperCAmelCase      ,pad_token=__UpperCAmelCase      ,**__UpperCAmelCase      ,)

									try:
														import sacremoses
									except ImportError:
														raise ImportError(
														    '''You need to install sacremoses to use BioGptTokenizer. '''
														    '''See https://pypi.org/project/sacremoses/ for installation.'''  )

									lowerCamelCase__		:   List[Any]  				=					'''en'''
									lowerCamelCase__		:   Optional[int]  				=					sacremoses
									# cache of sm.MosesTokenizer instance
									lowerCamelCase__		:   Dict  				=					{}
									lowerCamelCase__		:   Optional[int]  				=					{}
									with open(__UpperCAmelCase      ,encoding='''utf-8'''  ) as vocab_handle:
														lowerCamelCase__		:   Dict  				=					json.load(__UpperCAmelCase  )
									lowerCamelCase__		:   Tuple  				=					{v: k for k, v in self.encoder.items()}
									with open(__UpperCAmelCase      ,encoding='''utf-8'''  ) as merges_handle:
														lowerCamelCase__		:   List[str]  				=					merges_handle.read().split('''\n'''  )[:-1]
									lowerCamelCase__		:   List[Any]  				=					[tuple(merge.split()[:2]  ) for merge in merges]
									lowerCamelCase__		:   List[str]  				=					dict(zip(__UpperCAmelCase      ,range(len(__UpperCAmelCase  )  )  )  )
									lowerCamelCase__		:   Optional[int]  				=					{}







				@property
				def   lowercase_		(    self    :str  )      ->					List[Any]:




									"""simple docstring"""



									return len(self.encoder  )







				def   lowercase_		(    self    :Union[str, Any]  )      ->					str:




									"""simple docstring"""



									return dict(self.encoder      ,**self.added_tokens_encoder  )







				def   lowercase_		(    self    :Optional[int]      ,__UpperCAmelCase    :Dict      ,__UpperCAmelCase    :Tuple  )      ->					Any:




									"""simple docstring"""



									if lang not in self.cache_moses_tokenizer:
														lowerCamelCase__		:   Dict  				=					self.sm.MosesTokenizer(lang=__UpperCAmelCase  )
														lowerCamelCase__		:   Tuple  				=					moses_tokenizer
									return self.cache_moses_tokenizer[lang].tokenize(
									    __UpperCAmelCase      ,aggressive_dash_splits=__UpperCAmelCase      ,return_str=__UpperCAmelCase      ,escape=__UpperCAmelCase  )







				def   lowercase_		(    self    :Any      ,__UpperCAmelCase    :Dict      ,__UpperCAmelCase    :Optional[int]  )      ->					Union[str, Any]:




									"""simple docstring"""



									if lang not in self.cache_moses_detokenizer:
														lowerCamelCase__		:   Any  				=					self.sm.MosesDetokenizer(lang=__UpperCAmelCase  )
														lowerCamelCase__		:   Dict  				=					moses_detokenizer
									return self.cache_moses_detokenizer[lang].detokenize(__UpperCAmelCase  )







				def   lowercase_		(    self    :str      ,__UpperCAmelCase    :Union[str, Any]  )      ->					List[Any]:




									"""simple docstring"""



									lowerCamelCase__		:   Optional[Any]  				=					tuple(token[:-1]  ) + (token[-1] + '''</w>''',)
									if token in self.cache:
														return self.cache[token]
									lowerCamelCase__		:   Optional[int]  				=					get_pairs(__UpperCAmelCase  )

									if not pairs:
														return token + "</w>"

									while True:
														lowerCamelCase__		:   List[str]  				=					min(__UpperCAmelCase      ,key=lambda __UpperCAmelCase  : self.bpe_ranks.get(__UpperCAmelCase      ,float('''inf'''  )  )  )
														if bigram not in self.bpe_ranks:
																			break
														lowerCamelCase__				,						lowerCamelCase__		:   List[Any]  				=					bigram
														lowerCamelCase__		:   int  				=					[]
														lowerCamelCase__		:   Optional[int]  				=					0
														while i < len(__UpperCAmelCase  ):
																			try:
																								lowerCamelCase__		:   Tuple  				=					word.index(__UpperCAmelCase      ,__UpperCAmelCase  )
																			except ValueError:
																								new_word.extend(word[i:]  )
																								break
																			else:
																								new_word.extend(word[i:j]  )
																								lowerCamelCase__		:   Optional[int]  				=					j

																			if word[i] == first and i < len(__UpperCAmelCase  ) - 1 and word[i + 1] == second:
																								new_word.append(first + second  )
																								i += 2
																			else:
																								new_word.append(word[i]  )
																								i += 1
														lowerCamelCase__		:   Any  				=					tuple(__UpperCAmelCase  )
														lowerCamelCase__		:   Any  				=					new_word
														if len(__UpperCAmelCase  ) == 1:
																			break
														else:
																			lowerCamelCase__		:   List[str]  				=					get_pairs(__UpperCAmelCase  )
									lowerCamelCase__		:   Union[str, Any]  				=					''' '''.join(__UpperCAmelCase  )
									if word == "\n  </w>":
														lowerCamelCase__		:   Any  				=					'''\n</w>'''
									lowerCamelCase__		:   int  				=					word
									return word







				def   lowercase_		(    self    :Dict      ,__UpperCAmelCase    :List[str]      ,__UpperCAmelCase    :Union[str, Any]=False  )      ->					List[str]:




									"""simple docstring"""



									if bypass_tokenizer:
														lowerCamelCase__		:   Dict  				=					text.split()
									else:
														lowerCamelCase__		:   Tuple  				=					self.moses_tokenize(__UpperCAmelCase      ,self.lang  )

									lowerCamelCase__		:   int  				=					[]
									for token in text:
														if token:
																			split_tokens.extend(list(self.bpe(__UpperCAmelCase  ).split(''' '''  )  )  )

									return split_tokens







				def   lowercase_		(    self    :List[Any]      ,__UpperCAmelCase    :str  )      ->					Tuple:




									"""simple docstring"""



									return self.encoder.get(__UpperCAmelCase      ,self.encoder.get(self.unk_token  )  )







				def   lowercase_		(    self    :Dict      ,__UpperCAmelCase    :List[str]  )      ->					Union[str, Any]:




									"""simple docstring"""



									return self.decoder.get(__UpperCAmelCase      ,self.unk_token  )







				def   lowercase_		(    self    :Dict      ,__UpperCAmelCase    :Optional[Any]  )      ->					Any:




									"""simple docstring"""



									lowerCamelCase__		:   Optional[Any]  				=					[t.replace(''' '''      ,''''''  ).replace('''</w>'''      ,''' '''  ) for t in tokens]
									lowerCamelCase__		:   int  				=					''''''.join(__UpperCAmelCase  ).split()
									# detokenize
									lowerCamelCase__		:   Union[str, Any]  				=					self.moses_detokenize(__UpperCAmelCase      ,self.lang  )
									return text







				def   lowercase_		(    self    :str      ,__UpperCAmelCase    :List[int]      ,__UpperCAmelCase    :Optional[List[int]] = None  )      ->					List[int]:




									"""simple docstring"""



									if token_ids_a is None:
														return [self.sep_token_id] + token_ids_a
									lowerCamelCase__		:   Dict  				=					[self.sep_token_id]
									return sep + token_ids_a + sep + token_ids_a







				def   lowercase_		(    self    :int      ,__UpperCAmelCase    :List[int]      ,__UpperCAmelCase    :Optional[List[int]] = None      ,__UpperCAmelCase    :bool = False  )      ->					List[int]:




									"""simple docstring"""



									if already_has_special_tokens:
														return super().get_special_tokens_mask(
														    token_ids_a=__UpperCAmelCase      ,token_ids_a=__UpperCAmelCase      ,already_has_special_tokens=__UpperCAmelCase  )
									# no bos used in fairseq
									if token_ids_a is not None:
														return [1] + ([0] * len(__UpperCAmelCase  )) + [1] + ([0] * len(__UpperCAmelCase  ))
									return [1] + ([0] * len(__UpperCAmelCase  ))







				def   lowercase_		(    self    :Tuple      ,__UpperCAmelCase    :List[int]      ,__UpperCAmelCase    :Optional[List[int]] = None  )      ->					List[int]:




									"""simple docstring"""



									lowerCamelCase__		:   Union[str, Any]  				=					[self.sep_token_id]

									# no bos used in fairseq
									if token_ids_a is None:
														return len(token_ids_a + sep  ) * [0]
									return len(token_ids_a + sep  ) * [0] + len(token_ids_a + sep  ) * [1]







				def   lowercase_		(    self    :Union[str, Any]      ,__UpperCAmelCase    :str      ,__UpperCAmelCase    :Optional[str] = None  )      ->					Tuple[str]:




									"""simple docstring"""



									if not os.path.isdir(__UpperCAmelCase  ):
														logger.error(F"""Vocabulary path ({save_directory}) should be a directory"""  )
														return
									lowerCamelCase__		:   Union[str, Any]  				=					os.path.join(
									    __UpperCAmelCase      ,(filename_prefix + '''-''' if filename_prefix else '''''') + VOCAB_FILES_NAMES['''vocab_file''']  )
									lowerCamelCase__		:   List[str]  				=					os.path.join(
									    __UpperCAmelCase      ,(filename_prefix + '''-''' if filename_prefix else '''''') + VOCAB_FILES_NAMES['''merges_file''']  )

									with open(__UpperCAmelCase      ,'''w'''      ,encoding='''utf-8'''  ) as f:
														f.write(json.dumps(self.encoder      ,indent=2      ,sort_keys=__UpperCAmelCase      ,ensure_ascii=__UpperCAmelCase  ) + '''\n'''  )

									lowerCamelCase__		:   Any  				=					0
									with open(__UpperCAmelCase      ,'''w'''      ,encoding='''utf-8'''  ) as writer:
														for bpe_tokens, token_index in sorted(self.bpe_ranks.items()      ,key=lambda __UpperCAmelCase  : kv[1]  ):
																			if index != token_index:
																								logger.warning(
																								    F"""Saving vocabulary to {merge_file}: BPE merge indices are not consecutive."""
																								    ''' Please check that the tokenizer is not corrupted!'''  )
																								lowerCamelCase__		:   Union[str, Any]  				=					token_index
																			writer.write(''' '''.join(__UpperCAmelCase  ) + '''\n'''  )
																			index += 1

									return vocab_file, merge_file







				def __getstate__(    self    :Any  )      ->					int:




									"""simple docstring"""



									lowerCamelCase__		:   Optional[Any]  				=					self.__dict__.copy()
									lowerCamelCase__		:   Optional[Any]  				=					None
									return state







				def __setstate__(    self    :Union[str, Any]      ,__UpperCAmelCase    :str  )      ->					List[str]:




									"""simple docstring"""



									lowerCamelCase__		:   Union[str, Any]  				=					d

									try:
														import sacremoses
									except ImportError:
														raise ImportError(
														    '''You need to install sacremoses to use XLMTokenizer. '''
														    '''See https://pypi.org/project/sacremoses/ for installation.'''  )

									lowerCamelCase__		:   Optional[Any]  				=					sacremoses







"""simple docstring"""




from collections.abc import Callable

UpperCAmelCase       :    Optional[int]									=			Callable[[float], float]  # type alias for a real -> real function



def 				__a       (			_lowercase							, _lowercase							, _lowercase							, ):







					"""simple docstring"""





					lowerCamelCase__		:   Tuple  				=					float(_lowercase						)
					while True:
										try:
															lowerCamelCase__		:   str  				=					prev_guess - function(_lowercase						) / derivative(_lowercase						)
										except ZeroDivisionError:
															raise ZeroDivisionError('''Could not find root'''						) from None
										if abs(prev_guess - next_guess						) < 10**-5:
															return next_guess
										lowerCamelCase__		:   List[str]  				=					next_guess



def 				__a       (			_lowercase						):







					"""simple docstring"""





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



def 				__a       (			_lowercase						):







					"""simple docstring"""





					return 3 * (x**2) - 2


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






