"""simple docstring"""






from pathlib import PurePosixPath
from typing import Optional

import fsspec
from fsspec import AbstractFileSystem
from huggingface_hub.hf_api import DatasetInfo

from ..utils.file_utils import get_authentication_headers_for_url
from ..utils.hub import hf_hub_url
class 				snake_case       ( __UpperCAmelCase				):




					"""simple docstring"""

					snake_case__				    = ""
					snake_case__				    = "hf-legacy"  # "hf://"" is reserved for hffs







					def __init__(				self   :	Optional[int]    ,lowerCamelCase__   :	Optional[DatasetInfo] = None    ,lowerCamelCase__   :	Optional[str] = None    ,**lowerCamelCase__   :	Optional[int]    ,):
									super().__init__(self    ,**lowerCamelCase__			)
									UpperCAmelCase__             =							repo_info
									UpperCAmelCase__             =							token
									UpperCAmelCase__             =							None







					def 		__lowerCAmelCase						(				self   :	int			):
									if self.dir_cache is None:
													UpperCAmelCase__             =							{}
													for hf_file in self.repo_info.siblings:
																	# TODO(QL): add sizes
																	UpperCAmelCase__             =							{
																	    'name': hf_file.rfilename,
																	    'size': None,
																	    'type': 'file',
																	}
																	self.dir_cache.update(
																	    {
																	        str(lowerCamelCase__			): {'name': str(lowerCamelCase__			), 'size': None, 'type': 'directory'}
																	        for d in list(PurePosixPath(hf_file.rfilename			).parents			)[:-1]
																	    }			)







					def 		__lowerCAmelCase						(				self   :	Tuple    ,lowerCamelCase__   :	str    ,lowerCamelCase__   :	str = "rb"    ,**lowerCamelCase__   :	str    ,):
									if not isinstance(self.repo_info    ,lowerCamelCase__			):
													raise NotImplementedError(f'''Open is only implemented for dataset repositories, but got {self.repo_info}'''			)
									UpperCAmelCase__             =							hf_hub_url(self.repo_info.id    ,lowerCamelCase__    ,revision=self.repo_info.sha			)
									return fsspec.open(
									    lowerCamelCase__    ,mode=lowerCamelCase__    ,headers=get_authentication_headers_for_url(lowerCamelCase__    ,use_auth_token=self.token			)    ,client_kwargs={'trust_env': True}    ,).open()







					def 		__lowerCAmelCase						(				self   :	int    ,lowerCamelCase__   :	Any    ,**lowerCamelCase__   :	Union[str, Any]			):
									self._get_dirs()
									UpperCAmelCase__             =							self._strip_protocol(lowerCamelCase__			)
									if path in self.dir_cache:
													return self.dir_cache[path]
									else:
													raise FileNotFoundError(lowerCamelCase__			)







					def 		__lowerCAmelCase						(				self   :	Optional[Any]    ,lowerCamelCase__   :	List[str]    ,lowerCamelCase__   :	Optional[int]=False    ,**lowerCamelCase__   :	List[str]			):
									self._get_dirs()
									UpperCAmelCase__             =							PurePosixPath(path.strip('/'			)			)
									UpperCAmelCase__             =							{}
									for p, f in self.dir_cache.items():
													UpperCAmelCase__             =							PurePosixPath(p.strip('/'			)			)
													UpperCAmelCase__             =							p.parent
													if root == path:
																	UpperCAmelCase__             =							f
									UpperCAmelCase__             =							list(paths.values()			)
									if detail:
													return out
									else:
													return sorted(f['name'] for f in out			)




"""simple docstring"""







from __future__ import annotations

import math
from collections.abc import Callable



def 			lowercase__(       __SCREAMING_SNAKE_CASE							:     Callable[[int | float], int | float]     ,			__SCREAMING_SNAKE_CASE							:     int | float     ,			__SCREAMING_SNAKE_CASE							:     int | float     ,			__SCREAMING_SNAKE_CASE							:     int = 1_00     ,			):
     lowercase_	:				Dict													=	x_start
     lowercase_	:				Optional[Any]													=	fnc(__SCREAMING_SNAKE_CASE      )
     lowercase_	:				Optional[Any]													=	0.0

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

          # Increment step
          lowercase_	:				List[Any]													=	xa
          lowercase_	:				Optional[Any]													=	fxa

     return length


if __name__ == "__main__":



       def 			lowercase__(       __SCREAMING_SNAKE_CASE							:     Any      ):
            return math.sin(10 * x      )

       print("f(x) = sin(10 * x)")
       print("The length of the curve from x = -10 to x = 10 is:")
       __SCREAMING_SNAKE_CASE    	=10
       while i <= 10_0000:
              print(F"With {i} steps: {line_length(f, -10, 10, i)}")
              i *= 10

