


from __future__ import annotations

from math import pi, pow
def       UpperCamelCase__     (  SCREAMING_SNAKE_CASE__						):
 if side_length < 0:
  raise ValueError('vol_cube() only accepts non-negative values'						)
 return pow(SCREAMING_SNAKE_CASE__			,       3						)
def       UpperCamelCase__     (  SCREAMING_SNAKE_CASE__			,       SCREAMING_SNAKE_CASE__						):
 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(SCREAMING_SNAKE_CASE__			,       2						) * (3 * radius - height)
def       UpperCamelCase__     (  SCREAMING_SNAKE_CASE__			,       SCREAMING_SNAKE_CASE__			,       SCREAMING_SNAKE_CASE__						):
 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(SCREAMING_SNAKE_CASE__			,       SCREAMING_SNAKE_CASE__						)						)

 __lowerCamelCase		:							int							=						(
     (radius_a - radius_a + centers_distance)
     * (radius_a + radius_a - centers_distance)
     / (2 * centers_distance)
 )
 __lowerCamelCase		:							List[Any]							=						(
     (radius_a - radius_a + centers_distance)
     * (radius_a + radius_a - centers_distance)
     / (2 * centers_distance)
 )

 return vol_spherical_cap(SCREAMING_SNAKE_CASE__			,       SCREAMING_SNAKE_CASE__						) + vol_spherical_cap(SCREAMING_SNAKE_CASE__			,       SCREAMING_SNAKE_CASE__						)
def       UpperCamelCase__     (  SCREAMING_SNAKE_CASE__			,       SCREAMING_SNAKE_CASE__			,       SCREAMING_SNAKE_CASE__						):

 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(SCREAMING_SNAKE_CASE__			,       SCREAMING_SNAKE_CASE__						)						)

 return (
     vol_sphere(SCREAMING_SNAKE_CASE__						)
     + vol_sphere(SCREAMING_SNAKE_CASE__						)
     - vol_spheres_intersect(SCREAMING_SNAKE_CASE__			,       SCREAMING_SNAKE_CASE__			,       SCREAMING_SNAKE_CASE__						)
 )
def       UpperCamelCase__     (  SCREAMING_SNAKE_CASE__			,       SCREAMING_SNAKE_CASE__			,       SCREAMING_SNAKE_CASE__						):
 if width < 0 or height < 0 or length < 0:
  raise ValueError('vol_cuboid() only accepts non-negative values'						)
 return float(width * height * length						)
def       UpperCamelCase__     (  SCREAMING_SNAKE_CASE__			,       SCREAMING_SNAKE_CASE__						):
 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       UpperCamelCase__     (  SCREAMING_SNAKE_CASE__			,       SCREAMING_SNAKE_CASE__						):
 if height < 0 or radius < 0:
  raise ValueError('vol_right_circ_cone() only accepts non-negative values'						)
 return pi * pow(SCREAMING_SNAKE_CASE__			,       2						) * height / 3.0
def       UpperCamelCase__     (  SCREAMING_SNAKE_CASE__			,       SCREAMING_SNAKE_CASE__						):
 if height < 0 or area_of_base < 0:
  raise ValueError('vol_prism() only accepts non-negative values'						)
 return float(area_of_base * height						)
def       UpperCamelCase__     (  SCREAMING_SNAKE_CASE__			,       SCREAMING_SNAKE_CASE__						):
 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       UpperCamelCase__     (  SCREAMING_SNAKE_CASE__						):
 if radius < 0:
  raise ValueError('vol_sphere() only accepts non-negative values'						)
 # Volume is 4/3 * pi * radius cubed
 return 4 / 3 * pi * pow(SCREAMING_SNAKE_CASE__			,       3						)
def       UpperCamelCase__     (  SCREAMING_SNAKE_CASE__						):
 if radius < 0:
  raise ValueError('vol_hemisphere() only accepts non-negative values'						)
 # Volume is radius cubed * pi * 2/3
 return pow(SCREAMING_SNAKE_CASE__			,       3						) * pi * 2 / 3
def       UpperCamelCase__     (  SCREAMING_SNAKE_CASE__			,       SCREAMING_SNAKE_CASE__						):
 if height < 0 or radius < 0:
  raise ValueError('vol_circular_cylinder() only accepts non-negative values'						)
 # Volume is radius squared * height * pi
 return pow(SCREAMING_SNAKE_CASE__			,       2						) * height * pi
def       UpperCamelCase__     (  SCREAMING_SNAKE_CASE__			,       SCREAMING_SNAKE_CASE__			,       SCREAMING_SNAKE_CASE__						):
 # 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(SCREAMING_SNAKE_CASE__			,       2						) - pow(SCREAMING_SNAKE_CASE__			,       2						)) * height
def       UpperCamelCase__     (  SCREAMING_SNAKE_CASE__			,       SCREAMING_SNAKE_CASE__			,       SCREAMING_SNAKE_CASE__						):
 # 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(SCREAMING_SNAKE_CASE__			,       2						) + pow(SCREAMING_SNAKE_CASE__			,       2						) + radius_a * radius_a)
 )
def       UpperCamelCase__     (  SCREAMING_SNAKE_CASE__			,       SCREAMING_SNAKE_CASE__						):
 if torus_radius < 0 or tube_radius < 0:
  raise ValueError('vol_torus() only accepts non-negative values'						)
 return 2 * pow(SCREAMING_SNAKE_CASE__			,       2						) * torus_radius * pow(SCREAMING_SNAKE_CASE__			,       2						)
def       UpperCamelCase__     (  ):
 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 unittest

from transformers import is_torch_available
from transformers.testing_utils import require_sentencepiece, require_tokenizers, require_torch, slow, torch_device


if is_torch_available():
       import torch

       from transformers import CamembertModel


@require_torch
@require_sentencepiece
@require_tokenizers
class        A_					(       unittest.TestCase    ):




      '''simple docstring'''


      @slow
      def      _snake_case	(				self:       Any				):
       __lowerCamelCase		:							Dict							=						CamembertModel.from_pretrained('camembert-base'				)
       model.to(a				)

       __lowerCamelCase		:							List[Any]							=						torch.tensor(
           [[5, 121, 11, 660, 16, 730, 2_5543, 110, 83, 6]]						,      device=a						,      dtype=torch.long						,      )  # J'aime le camembert !
       with torch.no_grad():
        __lowerCamelCase		:							Tuple							=						model(a				)['last_hidden_state']
       __lowerCamelCase		:							Union[str, Any]							=						torch.Size((1, 10, 768)				)
       self.assertEqual(output.shape						,      a				)
       # compare the actual values for a slice.
       __lowerCamelCase		:							Tuple							=						torch.tensor(
           [[[-0.0_2_5_4, 0.0_2_3_5, 0.1_0_2_7], [0.0_6_0_6, -0.1_8_1_1, -0.0_4_1_8], [-0.1_5_6_1, -0.1_1_2_7, 0.2_6_8_7]]]						,      device=a						,      dtype=torch.float						,      )
       # camembert = torch.hub.load('pytorch/fairseq', 'camembert.v0')
       # camembert.eval()
       # expected_slice = roberta.model.forward(input_ids)[0][:, :3, :3].detach()

       self.assertTrue(torch.allclose(output[:, :3, :3]						,      a						,      atol=1e-4				)				)

