


# Lint as: python3
import itertools
import os
import re


UpperCAmelCase__   	=							re.compile(R'''([A-Z]+)([A-Z][a-z])''')
UpperCAmelCase__   	=							re.compile(R'''([a-z\d])([A-Z])''')

UpperCAmelCase__   	=							re.compile(R'''(?<!_)_(?!_)''')
UpperCAmelCase__   	=							re.compile(R'''(_{2,})''')

UpperCAmelCase__   	=							R'''^\w+(\.\w+)*$'''

UpperCAmelCase__   	=							R'''<>:/\|?*'''
def 				UpperCAmelCase_					(							__snake_case						)     ->			Any:







 """simple docstring"""


 _lowercase							      =_uppercase_uppercase_re.sub(r'''\1_\2'''     ,						__snake_case						)
 _lowercase							      =_lowercase_uppercase_re.sub(r'''\1_\2'''     ,						__snake_case						)
 return name.lower()
def 				UpperCAmelCase_					(							__snake_case						)     ->			Any:







 """simple docstring"""


 _lowercase							      =_single_underscore_re.split(__snake_case						)
 _lowercase							      =[_multiple_underscores_re.split(__snake_case						) for n in name]
 return "".join(n.capitalize() for n in itertools.chain.from_iterable(__snake_case						) if n != ''''''						)
def 				UpperCAmelCase_					(							__snake_case						)     ->			Optional[Any]:







 """simple docstring"""


 if os.path.basename(__snake_case						) != name:
  raise ValueError(F"Should be a dataset name, not a path: {name}"						)
 return camelcase_to_snakecase(__snake_case						)
def 				UpperCAmelCase_					(							__snake_case     ,						__snake_case						)     ->			Optional[Any]:







 """simple docstring"""


 if os.path.basename(__snake_case						) != name:
  raise ValueError(F"Should be a dataset name, not a path: {name}"						)
 if not re.match(_split_re     ,						__snake_case						):
  raise ValueError(F"Split name should match '{_split_re}'' but got '{split}'."						)
 return F"{filename_prefix_for_name(__snake_case						)}-{split}"
def 				UpperCAmelCase_					(							__snake_case     ,						__snake_case     ,						__snake_case     ,						__snake_case=None						)     ->			Union[str, Any]:







 """simple docstring"""


 _lowercase							      =filename_prefix_for_split(__snake_case     ,						__snake_case						)
 if filetype_suffix:
  prefix += F".{filetype_suffix}"
 _lowercase							      =os.path.join(__snake_case     ,						__snake_case						)
 return F"{filepath}*"



def 				UpperCAmelCase_					(							__snake_case     ,						__snake_case     ,						__snake_case     ,						__snake_case=None     ,						__snake_case=None						)     ->			Tuple:







 """simple docstring"""


 _lowercase							      =filename_prefix_for_split(__snake_case     ,						__snake_case						)
 _lowercase							      =os.path.join(__snake_case     ,						__snake_case						)

 if shard_lengths:
  _lowercase							      =len(__snake_case						)
  _lowercase							      =[F"{prefix}-{shard_id:05d}-of-{num_shards:05d}" for shard_id in range(__snake_case						)]
  if filetype_suffix:
   _lowercase							      =[filename + F".{filetype_suffix}" for filename in filenames]
  return filenames
 else:
  _lowercase							      =prefix
  if filetype_suffix:
   filename += F".{filetype_suffix}"
  return [filename]






'''simple docstring'''





from __future__ import annotations

import math
from collections.abc import Callable

def        a_     (							_lowerCAmelCase       ,_lowerCAmelCase       ,_lowerCAmelCase       ,_lowerCAmelCase = 100       ,)      ->      float:
  __lowerCamelCase       :       Dict           = x_start
  __lowerCamelCase       :       int           = fnc(_lowerCAmelCase       )
  __lowerCamelCase       :       Dict           = 0.0

  for _ in range(_lowerCAmelCase       ):
    # Approximates curve as a sequence of linear lines and sums their length
    __lowerCamelCase       :       List[str]           = (x_end - x_start) / steps + xa
    __lowerCamelCase       :       List[Any]           = fnc(_lowerCAmelCase       )
    length += math.hypot(xa - xa       ,fxa - fxa       )

    # Increment step
    __lowerCamelCase       :       Any           = xa
    __lowerCamelCase       :       Tuple           = fxa

  return length


if __name__ == "__main__":

   def        a_     (							_lowerCAmelCase       )      ->      Dict:
     return math.sin(10 * x       )

   print('f(x) = sin(10 * x)')
   print('The length of the curve from x = -10 to x = 10 is:')
   _UpperCamelCase											=						10
   while i <= 100000:
      print(f'''With {i} steps: {line_length(f, -10, 10, i)}''')
      i *= 10






