





'''simple docstring'''







from __future__ import annotations

from math import pi, pow





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





def 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      float,      SCREAMING_SNAKE_CASE__   :      float )			->						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(SCREAMING_SNAKE_CASE__,      2 ) * (3 * radius - height)





def 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      float,      SCREAMING_SNAKE_CASE__   :      float,      SCREAMING_SNAKE_CASE__   :      float )			->						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(SCREAMING_SNAKE_CASE__,      SCREAMING_SNAKE_CASE__ ) )

						UpperCAmelCase_      :   Tuple      =	(
						    (radius_a - radius_a + centers_distance)
						    * (radius_a + radius_a - centers_distance)
						    / (2 * centers_distance)
						)
						UpperCAmelCase_      :   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 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      float,      SCREAMING_SNAKE_CASE__   :      float,      SCREAMING_SNAKE_CASE__   :      float )			->						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(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 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      float,      SCREAMING_SNAKE_CASE__   :      float,      SCREAMING_SNAKE_CASE__   :      float )			->						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 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      float,      SCREAMING_SNAKE_CASE__   :      float )			->						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 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      float,      SCREAMING_SNAKE_CASE__   :      float )			->						float:
						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 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      float,      SCREAMING_SNAKE_CASE__   :      float )			->						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 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      float,      SCREAMING_SNAKE_CASE__   :      float )			->						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 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      float )			->						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(SCREAMING_SNAKE_CASE__,      3 )





def 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      float )			->						float:
						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 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      float,      SCREAMING_SNAKE_CASE__   :      float )			->						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(SCREAMING_SNAKE_CASE__,      2 ) * height * pi





def 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      float,      SCREAMING_SNAKE_CASE__   :      float,      SCREAMING_SNAKE_CASE__   :      float )			->						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(SCREAMING_SNAKE_CASE__,      2 ) - pow(SCREAMING_SNAKE_CASE__,      2 )) * height





def 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      float,      SCREAMING_SNAKE_CASE__   :      float,      SCREAMING_SNAKE_CASE__   :      float )			->						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(SCREAMING_SNAKE_CASE__,      2 ) + pow(SCREAMING_SNAKE_CASE__,      2 ) + radius_a * radius_a)
						)





def 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      float,      SCREAMING_SNAKE_CASE__   :      float )			->						float:
						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 							lowerCamelCase_   (	)			->						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 shutil
import tempfile
import unittest

import numpy as np
import pytest

from transformers.testing_utils import require_vision
from transformers.utils import is_vision_available


if is_vision_available():
       from PIL import Image

       from transformers import AutoProcessor, BertTokenizer, CLIPImageProcessor, GitProcessor, PreTrainedTokenizerFast

@require_vision
class 			__A(    unittest.TestCase			):

     def 						_UpperCamelCase  (   self   ):





            """simple docstring"""

            _UpperCamelCase														=    tempfile.mkdtemp()

            _UpperCamelCase														=    CLIPImageProcessor()
            _UpperCamelCase														=    BertTokenizer.from_pretrained(
                '''hf-internal-testing/tiny-random-BertModel''',							model_input_names=['''input_ids''', '''attention_mask''']   )

            _UpperCamelCase														=    GitProcessor(A,							A   )

            processor.save_pretrained(self.tmpdirname   )

     def 						_UpperCamelCase  (   self,							**A   ):





            """simple docstring"""

            return AutoProcessor.from_pretrained(self.tmpdirname,							**A   ).tokenizer

     def 						_UpperCamelCase  (   self,							**A   ):





            """simple docstring"""

            return AutoProcessor.from_pretrained(self.tmpdirname,							**A   ).image_processor

     def 						_UpperCamelCase  (   self   ):





            """simple docstring"""

            shutil.rmtree(self.tmpdirname   )

     def 						_UpperCamelCase  (   self   ):





            """simple docstring"""

            _UpperCamelCase														=    [np.random.randint(255,							size=(3, 30, 400),							dtype=np.uinta   )]

            _UpperCamelCase														=    [Image.fromarray(np.moveaxis(A,							0,							-1   )   ) for x in image_inputs]

            return image_inputs

     def 						_UpperCamelCase  (   self   ):





            """simple docstring"""

            _UpperCamelCase														=    GitProcessor(tokenizer=self.get_tokenizer(),							image_processor=self.get_image_processor()   )
            processor.save_pretrained(self.tmpdirname   )

            _UpperCamelCase														=    self.get_tokenizer(bos_token='''(BOS)''',							eos_token='''(EOS)'''   )
            _UpperCamelCase														=    self.get_image_processor(do_normalize=A,							padding_value=1.0   )

            _UpperCamelCase														=    GitProcessor.from_pretrained(
                self.tmpdirname,							bos_token='''(BOS)''',							eos_token='''(EOS)''',							do_normalize=A,							padding_value=1.0   )

            self.assertEqual(processor.tokenizer.get_vocab(),							tokenizer_add_kwargs.get_vocab()   )
            self.assertIsInstance(processor.tokenizer,							A   )

            self.assertEqual(processor.image_processor.to_json_string(),							image_processor_add_kwargs.to_json_string()   )
            self.assertIsInstance(processor.image_processor,							A   )

     def 						_UpperCamelCase  (   self   ):





            """simple docstring"""

            _UpperCamelCase														=    self.get_image_processor()
            _UpperCamelCase														=    self.get_tokenizer()

            _UpperCamelCase														=    GitProcessor(tokenizer=A,							image_processor=A   )

            _UpperCamelCase														=    self.prepare_image_inputs()

            _UpperCamelCase														=    image_processor(A,							return_tensors='''np'''   )
            _UpperCamelCase														=    processor(images=A,							return_tensors='''np'''   )

            for key in input_feat_extract.keys():
                   self.assertAlmostEqual(input_feat_extract[key].sum(),							input_processor[key].sum(),							delta=1E-2   )

     def 						_UpperCamelCase  (   self   ):





            """simple docstring"""

            _UpperCamelCase														=    self.get_image_processor()
            _UpperCamelCase														=    self.get_tokenizer()

            _UpperCamelCase														=    GitProcessor(tokenizer=A,							image_processor=A   )

            _UpperCamelCase														=    '''lower newer'''

            _UpperCamelCase														=    processor(text=A   )

            _UpperCamelCase														=    tokenizer(A,							return_token_type_ids=A   )

            for key in encoded_tok.keys():
                   self.assertListEqual(encoded_tok[key],							encoded_processor[key]   )

     def 						_UpperCamelCase  (   self   ):





            """simple docstring"""

            _UpperCamelCase														=    self.get_image_processor()
            _UpperCamelCase														=    self.get_tokenizer()

            _UpperCamelCase														=    GitProcessor(tokenizer=A,							image_processor=A   )

            _UpperCamelCase														=    '''lower newer'''
            _UpperCamelCase														=    self.prepare_image_inputs()

            _UpperCamelCase														=    processor(text=A,							images=A   )

            self.assertListEqual(list(inputs.keys()   ),							['''input_ids''', '''attention_mask''', '''pixel_values''']   )

            # test if it raises when no input is passed
            with pytest.raises(A   ):
                   processor()

     def 						_UpperCamelCase  (   self   ):





            """simple docstring"""

            _UpperCamelCase														=    self.get_image_processor()
            _UpperCamelCase														=    self.get_tokenizer()

            _UpperCamelCase														=    GitProcessor(tokenizer=A,							image_processor=A   )

            _UpperCamelCase														=    [[1, 4, 5, 8, 1, 0, 8], [3, 4, 3, 1, 1, 8, 9]]

            _UpperCamelCase														=    processor.batch_decode(A   )
            _UpperCamelCase														=    tokenizer.batch_decode(A   )

            self.assertListEqual(A,							A   )



     def 						_UpperCamelCase  (   self   ):





            """simple docstring"""

            _UpperCamelCase														=    self.get_image_processor()
            _UpperCamelCase														=    self.get_tokenizer()

            _UpperCamelCase														=    GitProcessor(tokenizer=A,							image_processor=A   )

            _UpperCamelCase														=    '''lower newer'''
            _UpperCamelCase														=    self.prepare_image_inputs()

            _UpperCamelCase														=    processor(text=A,							images=A   )

            # For now the processor supports only ['input_ids', 'attention_mask', 'pixel_values']
            self.assertListEqual(list(inputs.keys()   ),							['''input_ids''', '''attention_mask''', '''pixel_values''']   )






