






from __future__ import annotations

from math import pi, pow

def 						snake_case      (UpperCAmelCase__						) ->       float:
  if side_length < 0:
    raise ValueError('vol_cube() only accepts non-negative values'						)
  return pow(UpperCAmelCase__			,					3						)

def 						snake_case      (UpperCAmelCase__			,					UpperCAmelCase__						) ->       float:
  if height < 0 or radius < 0:
    raise ValueError('vol_spherical_cap() only accepts non-negative values'						)
  # Volume is 1/3 pi * height squared * (3 * radius - height)
  return 1 / 3 * pi * pow(UpperCAmelCase__			,					2						) * (3 * radius - height)

def 						snake_case      (UpperCAmelCase__			,					UpperCAmelCase__			,					UpperCAmelCase__						) ->       float:
  if radius_a < 0 or radius_a < 0 or centers_distance < 0:
    raise ValueError('vol_spheres_intersect() only accepts non-negative values'						)
  if centers_distance == 0:
    return vol_sphere(min(UpperCAmelCase__			,					UpperCAmelCase__						)						)

  UpperCamelCase_:      Any					   =       (
      (radius_a - radius_a + centers_distance)
      * (radius_a + radius_a - centers_distance)
      / (2 * centers_distance)
  )
  UpperCamelCase_:      Tuple					   =       (
      (radius_a - radius_a + centers_distance)
      * (radius_a + radius_a - centers_distance)
      / (2 * centers_distance)
  )

  return vol_spherical_cap(UpperCAmelCase__			,					UpperCAmelCase__						) + vol_spherical_cap(UpperCAmelCase__			,					UpperCAmelCase__						)

def 						snake_case      (UpperCAmelCase__			,					UpperCAmelCase__			,					UpperCAmelCase__						) ->       float:

  if radius_a <= 0 or radius_a <= 0 or centers_distance < 0:
    raise ValueError(
        'vol_spheres_union() only accepts non-negative values, non-zero radius'						)

  if centers_distance == 0:
    return vol_sphere(max(UpperCAmelCase__			,					UpperCAmelCase__						)						)

  return (
      vol_sphere(UpperCAmelCase__						)
      + vol_sphere(UpperCAmelCase__						)
      - vol_spheres_intersect(UpperCAmelCase__			,					UpperCAmelCase__			,					UpperCAmelCase__						)
  )

def 						snake_case      (UpperCAmelCase__			,					UpperCAmelCase__			,					UpperCAmelCase__						) ->       float:
  if width < 0 or height < 0 or length < 0:
    raise ValueError('vol_cuboid() only accepts non-negative values'						)
  return float(width * height * length						)

def 						snake_case      (UpperCAmelCase__			,					UpperCAmelCase__						) ->       float:
  if height < 0 or area_of_base < 0:
    raise ValueError('vol_cone() only accepts non-negative values'						)
  return area_of_base * height / 3.0

def 						snake_case      (UpperCAmelCase__			,					UpperCAmelCase__						) ->       float:
  if height < 0 or radius < 0:
    raise ValueError('vol_right_circ_cone() only accepts non-negative values'						)
  return pi * pow(UpperCAmelCase__			,					2						) * height / 3.0

def 						snake_case      (UpperCAmelCase__			,					UpperCAmelCase__						) ->       float:
  if height < 0 or area_of_base < 0:
    raise ValueError('vol_prism() only accepts non-negative values'						)
  return float(area_of_base * height						)

def 						snake_case      (UpperCAmelCase__			,					UpperCAmelCase__						) ->       float:
  if height < 0 or area_of_base < 0:
    raise ValueError('vol_pyramid() only accepts non-negative values'						)
  return area_of_base * height / 3.0

def 						snake_case      (UpperCAmelCase__						) ->       float:
  if radius < 0:
    raise ValueError('vol_sphere() only accepts non-negative values'						)
  # Volume is 4/3 * pi * radius cubed
  return 4 / 3 * pi * pow(UpperCAmelCase__			,					3						)

def 						snake_case      (UpperCAmelCase__						) ->       float:
  if radius < 0:
    raise ValueError('vol_hemisphere() only accepts non-negative values'						)
  # Volume is radius cubed * pi * 2/3
  return pow(UpperCAmelCase__			,					3						) * pi * 2 / 3

def 						snake_case      (UpperCAmelCase__			,					UpperCAmelCase__						) ->       float:
  if height < 0 or radius < 0:
    raise ValueError('vol_circular_cylinder() only accepts non-negative values'						)
  # Volume is radius squared * height * pi
  return pow(UpperCAmelCase__			,					2						) * height * pi

def 						snake_case      (UpperCAmelCase__			,					UpperCAmelCase__			,					UpperCAmelCase__						) ->       float:
  # Volume - (outer_radius squared - inner_radius squared) * pi * height
  if inner_radius < 0 or outer_radius < 0 or height < 0:
    raise ValueError(
        'vol_hollow_circular_cylinder() only accepts non-negative values'						)
  if outer_radius <= inner_radius:
    raise ValueError('outer_radius must be greater than inner_radius'						)
  return pi * (pow(UpperCAmelCase__			,					2						) - pow(UpperCAmelCase__			,					2						)) * height

def 						snake_case      (UpperCAmelCase__			,					UpperCAmelCase__			,					UpperCAmelCase__						) ->       float:
  # Volume is 1/3 * pi * height *
  #           (radius_1 squared + radius_2 squared + radius_1 * radius_2)
  if radius_a < 0 or radius_a < 0 or height < 0:
    raise ValueError('vol_conical_frustum() only accepts non-negative values'						)
  return (
      1
      / 3
      * pi
      * height
      * (pow(UpperCAmelCase__			,					2						) + pow(UpperCAmelCase__			,					2						) + radius_a * radius_a)
  )

def 						snake_case      (UpperCAmelCase__			,					UpperCAmelCase__						) ->       float:
  if torus_radius < 0 or tube_radius < 0:
    raise ValueError('vol_torus() only accepts non-negative values'						)
  return 2 * pow(UpperCAmelCase__			,					2						) * torus_radius * pow(UpperCAmelCase__			,					2						)

def 						snake_case      () ->       Optional[Any]:
  print('Volumes:'						)
  print(F'''Cube: {vol_cube(2						) = }'''						)  # = 8
  print(F'''Cuboid: {vol_cuboid(2			,					2			,					2						) = }'''						)  # = 8
  print(F'''Cone: {vol_cone(2			,					2						) = }'''						)  # ~= 1.33
  print(F'''Right Circular Cone: {vol_right_circ_cone(2			,					2						) = }'''						)  # ~= 8.38
  print(F'''Prism: {vol_prism(2			,					2						) = }'''						)  # = 4
  print(F'''Pyramid: {vol_pyramid(2			,					2						) = }'''						)  # ~= 1.33
  print(F'''Sphere: {vol_sphere(2						) = }'''						)  # ~= 33.5
  print(F'''Hemisphere: {vol_hemisphere(2						) = }'''						)  # ~= 16.75
  print(F'''Circular Cylinder: {vol_circular_cylinder(2			,					2						) = }'''						)  # ~= 25.1
  print(F'''Torus: {vol_torus(2			,					2						) = }'''						)  # ~= 157.9
  print(F'''Conical Frustum: {vol_conical_frustum(2			,					2			,					4						) = }'''						)  # ~= 58.6
  print(F'''Spherical cap: {vol_spherical_cap(1			,					2						) = }'''						)  # ~= 5.24
  print(F'''Spheres intersetion: {vol_spheres_intersect(2			,					2			,					1						) = }'''						)  # ~= 21.21
  print(F'''Spheres union: {vol_spheres_union(2			,					2			,					1						) = }'''						)  # ~= 45.81
  print(
      F'''Hollow Circular Cylinder: {vol_hollow_circular_cylinder(1			,					2			,					3						) = }'''						)  # ~= 28.3


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:
   A_	:	Union[str, Any]				=				None


A_	:	List[Any]				=				logging.get_logger(__name__)


A_	:	List[str]				=				'▁'

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

A_	:	Optional[Any]				=				{
    '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'
        )
    },
}

A_	:	List[Any]				=				{
    'google/reformer-crime-and-punishment': 524288,
}




class        _lowerCAmelCase( UpperCAmelCase_      ):





       """simple docstring"""







       a       :	int								=VOCAB_FILES_NAMES
       a       :	Optional[Any]								=PRETRAINED_VOCAB_FILES_MAP
       a       :	List[Any]								=PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
       a       :	Tuple								=['''input_ids''', '''attention_mask''']
       a       :	Optional[Any]								=ReformerTokenizer





       def __init__(      self						,    _lowerCamelCase=None						,    _lowerCamelCase=None						,    _lowerCamelCase="</s>"						,    _lowerCamelCase="<unk>"						,    _lowerCamelCase=[]						,    **_lowerCamelCase						,    ):
         super().__init__(
             _lowerCamelCase						,    tokenizer_file=_lowerCamelCase						,    eos_token=_lowerCamelCase						,    unk_token=_lowerCamelCase						,    additional_special_tokens=_lowerCamelCase						,    **_lowerCamelCase						,    )

         UpperCamelCase_:      Any					   =       vocab_file
         UpperCamelCase_:      str					   =       False if not self.vocab_file else True





       def     _a					(      self						,    _lowerCamelCase						,    _lowerCamelCase = None							):
         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
         UpperCamelCase_:      str					   =       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,)