






"""simple docstring"""



from typing import List

from tokenizers import NormalizedString, PreTokenizedString, normalizers

class 			a	:







    def __init__(     self				,						_lowerCamelCase			):
      lowercase				       =			vocab
      lowercase				       =			normalizers.BertNormalizer(
          clean_text=_lowerCamelCase				,						handle_chinese_chars=_lowerCamelCase				,						strip_accents=_lowerCamelCase				,						lowercase=_lowerCamelCase				,						)
      try:
        import rjieba
      except ImportError:
        raise ImportError(
            'You need to install rjieba to use RoFormerTokenizer. '
            'See https://pypi.org/project/rjieba/ for installation.'			)
      lowercase				       =			rjieba







    def      UpperCamelCase_ (     self				,						_lowerCamelCase				,						_lowerCamelCase			):
      lowercase				       =			[]

      # this code slice normalized_string is too slow (6s) but test_alignement_methods can pass
      for token, start, end in self.jieba.tokenize(str(_lowerCamelCase			)				,						hmm=_lowerCamelCase			):
        if token in self.vocab:
          splits.append(normalized_string[start:end]			)
        else:
          lowercase				       =			self.normalizers.normalize_str(_lowerCamelCase			).split()
          for token in token_list:
            if token:
              lowercase				       =			start + len(_lowerCamelCase			)
              splits.append(normalized_string[start:end]			)
              lowercase				       =			end

        # this code test_alignement_methods can't pass but fast (300ms)
        # for token in self.jieba.cut(str(normalized_string), False):
        #     if token in self.vocab:
        #         splits.append(NormalizedString(token))
        #     else:
        #         token_list = self.normalizers.normalize_str(token).split()
        #         for token in token_list:
        #             if token:
        #                 splits.append(NormalizedString(token))

      return splits







    def      UpperCamelCase_ (     self				,						_lowerCamelCase			):
      pretok.split(self.jieba_split			)





'''simple docstring'''

from __future__ import annotations

from collections.abc import Callable




def  UpperCamelCase(	UpperCAmelCase_    ,			UpperCAmelCase_    ,			UpperCAmelCase_    ,			UpperCAmelCase_ = 1_00    ,			):
 UpperCAmelCase			:      Any		   =					x_start
 UpperCAmelCase			:      int		   =					fnc(UpperCAmelCase_      )
 UpperCAmelCase			:      str		   =					0.0

 for _ in range(UpperCAmelCase_      ):
  # Approximates small segments of curve as linear and solve
  # for trapezoidal area
  UpperCAmelCase			:      List[Any]		   =					(x_end - x_start) / steps + xa
  UpperCAmelCase			:      int		   =					fnc(UpperCAmelCase_      )
  area += abs(fxa + fxa      ) * (xa - xa) / 2

  # Increment step
  UpperCAmelCase			:      List[str]		   =					xa
  UpperCAmelCase			:      List[Any]		   =					fxa
 return area


if __name__ == "__main__":




 def  UpperCamelCase(	UpperCAmelCase_      ):
  return x**3

 print("f(x) = x^3")
 print("The area between the curve, x = -10, x = 10 and the x axis is:")
 lowercase__            =     10
 while i <= 100000:
  lowercase__            =     trapezoidal_area(f, -5, 5, i)
  print(f'''with {i} steps: {area}''')
  i *= 10




