






def 							_lowerCamelCase(				__snake_case						,						__snake_case	)  ->   List[Any]:
		# "Simpson Rule"
		# int(f) = delta_x/2 * (b-a)/3*(f1 + 4f2 + 2f_3 + ... + fn)
		__snake_case		       =     (boundary[1] - boundary[0]) / steps
		__snake_case		       =     boundary[0]
		__snake_case		       =     boundary[1]
		__snake_case		       =     make_points(__snake_case						,						__snake_case						,						__snake_case	)
		__snake_case		       =     0.0
		y += (h / 3.0) * f(__snake_case	)
		__snake_case		       =     2
		for i in x_i:
				y += (h / 3) * (4 - 2 * (cnt % 2)) * f(__snake_case	)
				cnt += 1
		y += (h / 3.0) * f(__snake_case	)
		return y



def 							_lowerCamelCase(				__snake_case						,						__snake_case						,						__snake_case	)  ->   Dict:
		__snake_case		       =     a + h
		while x < (b - h):
				yield x
				__snake_case		       =     x + h



def 							_lowerCamelCase(				__snake_case	)  ->   Optional[Any]:  # enter your function here
		__snake_case		       =     (x - 0) * (x - 0)
		return y



def 							_lowerCamelCase(				)  ->   Union[str, Any]:
		__snake_case		       =     0.0  # Lower bound of integration
		__snake_case		       =     1.0  # Upper bound of integration
		__snake_case		       =     10.0  # define number of steps or resolution
		__snake_case		       =     [a, b]  # define boundary of integration
		__snake_case		       =     method_a(__snake_case						,						__snake_case	)
		print(f"""y = {y}"""	)


if __name__ == "__main__":
		main()






import os
from shutil import copyfile
from typing import Optional, Tuple

from ...tokenization_utils_fast import PreTrainedTokenizerFast
from ...utils import is_sentencepiece_available, logging


if is_sentencepiece_available():
		from .tokenization_reformer import ReformerTokenizer
else:
		lowerCamelCase__           =				None


lowerCamelCase__           =				logging.get_logger(__name__)


lowerCamelCase__           =				'▁'

lowerCamelCase__           =				{'vocab_file': 'spiece.model', 'tokenizer_file': 'tokenizer.json'}

lowerCamelCase__           =				{
    'vocab_file': {
        'google/reformer-crime-and-punishment': (
            'https://huggingface.co/google/reformer-crime-and-punishment/resolve/main/spiece.model'
        )
    },
    'tokenizer_file': {
        'google/reformer-crime-and-punishment': (
            'https://huggingface.co/google/reformer-crime-and-punishment/resolve/main/tokenizer.json'
        )
    },
}

lowerCamelCase__           =				{
    'google/reformer-crime-and-punishment': 52_42_88,
}




class 					UpperCamelCase	(     snake_case__      ):
					__UpperCamelCase						=   VOCAB_FILES_NAMES
					__UpperCamelCase						=   PRETRAINED_VOCAB_FILES_MAP
					__UpperCamelCase						=   PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
					__UpperCamelCase						=   ["""input_ids""", """attention_mask"""]
					__UpperCamelCase						=   ReformerTokenizer




					def __init__( self :					Tuple      ,_lowerCAmelCase :					Dict=None      ,_lowerCAmelCase :					Union[str, Any]=None      ,_lowerCAmelCase :					int="</s>"      ,_lowerCAmelCase :					Dict="<unk>"      ,_lowerCAmelCase :					Dict=[]      ,**_lowerCAmelCase :					Optional[Any]      ,):


							"""simple docstring"""




							super().__init__(
							    _lowerCAmelCase      ,tokenizer_file=_lowerCAmelCase      ,eos_token=_lowerCAmelCase      ,unk_token=_lowerCAmelCase      ,additional_special_tokens=_lowerCAmelCase      ,**_lowerCAmelCase      ,)

							__snake_case		       =     vocab_file
							__snake_case		       =     False if not self.vocab_file else True







					def 							UpperCamelCase_						( self :					Dict      ,_lowerCAmelCase :					str      ,_lowerCAmelCase :					Optional[str] = None						):


							"""simple docstring"""




							if not self.can_save_slow_tokenizer:
									raise ValueError(
									    "Your fast tokenizer does not have the necessary information to save the vocabulary for a slow "
									    "tokenizer."						)

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

							if os.path.abspath(self.vocab_file						) != os.path.abspath(_lowerCAmelCase						):
									copyfile(self.vocab_file      ,_lowerCAmelCase						)

							return (out_vocab_file,)





