



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

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


UpperCAmelCase__     :   Optional[Any]     = logging.get_logger(__name__)


UpperCAmelCase__     :   Dict     = {
    'vocab_file': 'vocab.json',
    'tokenizer_config_file': 'tokenizer_config.json',
    'merges_file': 'merges.txt',
}

UpperCAmelCase__     :   int     = {
    'vocab_file': {
        'facebook/s2t-wav2vec2-large-en-de': (
            'https://huggingface.co/facebook/s2t-wav2vec2-large-en-de/resolve/main/vocab.json'
        ),
    },
    'tokenizer_config_file': {
        'facebook/s2t-wav2vec2-large-en-de': (
            'https://huggingface.co/facebook/s2t-wav2vec2-large-en-de/resolve/main/tokenizer_config.json'
        ),
    },
    'merges_file': {
        'facebook/s2t-wav2vec2-large-en-de': (
            'https://huggingface.co/facebook/s2t-wav2vec2-large-en-de/resolve/main/merges.txt'
        ),
    },
}

UpperCAmelCase__     :   Optional[Any]     = '</w>'
UpperCAmelCase__     :   Optional[Any]     = '@@ '





def 							A			(  _UpperCAmelCase       :     int					)       ->				Union[str, Any]:







			'''simple docstring'''
			_UpperCAmelCase	 =     set()
			_UpperCAmelCase	 =     word[0]
			for char in word[1:]:
						pairs.add((prev_char, char)					)
						_UpperCAmelCase	 =     char
			return pairs


# Speech2Text2 has no max input length
UpperCAmelCase__     :   Dict     = {'facebook/s2t-wav2vec2-large-en-de': 1024}







class     __lowerCAmelCase					(    lowerCamelCase__		):
			UpperCamelCase           =  VOCAB_FILES_NAMES
			UpperCamelCase           =  PRETRAINED_VOCAB_FILES_MAP
			UpperCamelCase           =  PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
			UpperCamelCase           =  ['''input_ids''', '''attention_mask''']



			def __init__(		self     :						str				,	A     :						Optional[Any]				,	A     :						str="<s>"				,	A     :						Optional[Any]="<pad>"				,	A     :						Any="</s>"				,	A     :						Dict="<unk>"				,	A     :						List[str]=False				,	A     :						int=None				,	**A     :						Any				,	)     ->					str:



						"""simple docstring"""






						super().__init__(
						    unk_token=__lowerCamelCase				,	bos_token=__lowerCamelCase				,	eos_token=__lowerCamelCase				,	pad_token=__lowerCamelCase				,	do_lower_case=__lowerCamelCase				,	**__lowerCamelCase				,	)

						_UpperCAmelCase	 =     do_lower_case

						with open(__lowerCamelCase				,	encoding='utf-8') as vocab_handle:
									_UpperCAmelCase	 =     json.load(__lowerCamelCase)
						_UpperCAmelCase	 =     {v: k for k, v in self.encoder.items()}

						if merges_file is None:
									logger.info(F"No merges files provided. {self.__class__.__name__} can only be used for decoding.")

									_UpperCAmelCase	 =     None
									_UpperCAmelCase	 =     None
						else:
									with open(__lowerCamelCase				,	encoding='utf-8') as merges_handle:
												_UpperCAmelCase	 =     merges_handle.read().split('\n')[:-1]

									_UpperCAmelCase	 =     [tuple(merge.split()[:2]) for merge in merges]
									_UpperCAmelCase	 =     dict(zip(__lowerCamelCase				,	range(len(__lowerCamelCase))))
									_UpperCAmelCase	 =     {}



			@property
			def 					_lowerCamelCase (		self     :						List[Any])     ->					int:



						"""simple docstring"""






						return len(self.decoder)



			def 					_lowerCamelCase (		self     :						Optional[int])     ->					Dict:



						"""simple docstring"""






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



			def 					_lowerCamelCase (		self     :						str				,	A     :						Tuple)     ->					Any:



						"""simple docstring"""






						_UpperCAmelCase	 =     tuple(token[:-1]) + (token[-1] + BPE_TOKEN_MERGES,)
						if token in self.cache:
									return self.cache[token]
						_UpperCAmelCase	 =     get_pairs(__lowerCamelCase)

						if not pairs:
									return token

						while True:
									_UpperCAmelCase	 =     min(__lowerCamelCase				,	key=lambda A: self.bpe_ranks.get(__lowerCamelCase				,	float('inf')))
									if bigram not in self.bpe_ranks:
												break
									_UpperCAmelCase	 =     bigram
									_UpperCAmelCase	 =     []
									_UpperCAmelCase	 =     0
									while i < len(__lowerCamelCase):
												try:
															_UpperCAmelCase	 =     word.index(__lowerCamelCase				,	__lowerCamelCase)
												except ValueError:
															new_word.extend(word[i:])
															break
												else:
															new_word.extend(word[i:j])
															_UpperCAmelCase	 =     j

												if word[i] == first and i < len(__lowerCamelCase) - 1 and word[i + 1] == second:
															new_word.append(first + second)
															i += 2
												else:
															new_word.append(word[i])
															i += 1
									_UpperCAmelCase	 =     tuple(__lowerCamelCase)
									_UpperCAmelCase	 =     new_word
									if len(__lowerCamelCase) == 1:
												break
									else:
												_UpperCAmelCase	 =     get_pairs(__lowerCamelCase)
						_UpperCAmelCase	 =     ''' '''.join(__lowerCamelCase)
						if word == "\n  " + BPE_TOKEN_MERGES:
									_UpperCAmelCase	 =     '''\n''' + BPE_TOKEN_MERGES

						if word.endswith(__lowerCamelCase):
									_UpperCAmelCase	 =     word.replace(__lowerCamelCase				,	'')

						_UpperCAmelCase	 =     word.replace(' '				,	__lowerCamelCase)
						_UpperCAmelCase	 =     word
						return word



			def 					_lowerCamelCase (		self     :						Union[str, Any]				,	A     :						str)     ->					int:



						"""simple docstring"""






						if self.bpe_ranks is None:
									raise ValueError(
									    'This tokenizer was instantiated without a `merges.txt` file, so'
									    ' that it can only be used for decoding, not for encoding.'
									    'Make sure to provide `merges.txt` file at instantiation to enable '
									    'encoding.')

						if self.do_lower_case:
									_UpperCAmelCase	 =     text.lower()

						_UpperCAmelCase	 =     text.split()

						_UpperCAmelCase	 =     []
						for token in text:
									if token:
												split_tokens.extend(list(self.bpe(__lowerCamelCase).split(' ')))

						return split_tokens



			def 					_lowerCamelCase (		self     :						Union[str, Any]				,	A     :						Optional[int])     ->					int:



						"""simple docstring"""






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



			def 					_lowerCamelCase (		self     :						str				,	A     :						List[Any])     ->					str:



						"""simple docstring"""






						_UpperCAmelCase	 =     self.decoder.get(__lowerCamelCase				,	self.unk_token)
						return result



			def 					_lowerCamelCase (		self     :						Dict				,	A     :						Optional[Any])     ->					str:



						"""simple docstring"""






						_UpperCAmelCase	 =     ''' '''.join(__lowerCamelCase)

						# make sure @@ tokens are concatenated
						_UpperCAmelCase	 =     ''''''.join(string.split(__lowerCamelCase))

						return string



			def 					_lowerCamelCase (		self     :						int				,	A     :						int				,	A     :						Any = None)     ->					Tuple[str]:



						"""simple docstring"""






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

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

						_UpperCAmelCase	 =     0
						if self.bpe_ranks is None:
									return (vocab_file,)

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

						return (vocab_file, merges_file)





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





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







			'''simple docstring'''
			_UpperCAmelCase	 =     symbols(_UpperCAmelCase					)
			_UpperCAmelCase	 =     lambdify(_UpperCAmelCase							,     _UpperCAmelCase					)
			_UpperCAmelCase	 =     lambdify(_UpperCAmelCase							,     diff(_UpperCAmelCase							,     _UpperCAmelCase					)					)

			_UpperCAmelCase	 =     starting_point

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

						_UpperCAmelCase	 =     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)}""")
