





"""simple docstring"""
from __future__ import annotations

from math import pi, pow






def    A__							(     UpperCamelCase			):
							if side_length < 0:
														raise ValueError("vol_cube() only accepts non-negative values"			)
							return pow(lowercase_   ,    3			)






def    A__							(     UpperCamelCase   ,    UpperCamelCase			):
							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(lowercase_   ,    2			) * (3 * radius - height)






def    A__							(     UpperCamelCase   ,    UpperCamelCase   ,    UpperCamelCase			):
							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(lowercase_   ,    lowercase_			)			)

							A						=    (
							    (radius_a - radius_a + centers_distance)
							    * (radius_a + radius_a - centers_distance)
							    / (2 * centers_distance)
							)
							A						=    (
							    (radius_a - radius_a + centers_distance)
							    * (radius_a + radius_a - centers_distance)
							    / (2 * centers_distance)
							)

							return vol_spherical_cap(lowercase_   ,    lowercase_			) + vol_spherical_cap(lowercase_   ,    lowercase_			)






def    A__							(     UpperCamelCase   ,    UpperCamelCase   ,    UpperCamelCase			):

							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(lowercase_   ,    lowercase_			)			)

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






def    A__							(     UpperCamelCase   ,    UpperCamelCase   ,    UpperCamelCase			):
							if width < 0 or height < 0 or length < 0:
														raise ValueError("vol_cuboid() only accepts non-negative values"			)
							return float(width * height * length			)






def    A__							(     UpperCamelCase   ,    UpperCamelCase			):
							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    A__							(     UpperCamelCase   ,    UpperCamelCase			):
							if height < 0 or radius < 0:
														raise ValueError("vol_right_circ_cone() only accepts non-negative values"			)
							return pi * pow(lowercase_   ,    2			) * height / 3.0






def    A__							(     UpperCamelCase   ,    UpperCamelCase			):
							if height < 0 or area_of_base < 0:
														raise ValueError("vol_prism() only accepts non-negative values"			)
							return float(area_of_base * height			)






def    A__							(     UpperCamelCase   ,    UpperCamelCase			):
							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    A__							(     UpperCamelCase			):
							if radius < 0:
														raise ValueError("vol_sphere() only accepts non-negative values"			)
							# Volume is 4/3 * pi * radius cubed
							return 4 / 3 * pi * pow(lowercase_   ,    3			)






def    A__							(     UpperCamelCase			):
							if radius < 0:
														raise ValueError("vol_hemisphere() only accepts non-negative values"			)
							# Volume is radius cubed * pi * 2/3
							return pow(lowercase_   ,    3			) * pi * 2 / 3






def    A__							(     UpperCamelCase   ,    UpperCamelCase			):
							if height < 0 or radius < 0:
														raise ValueError("vol_circular_cylinder() only accepts non-negative values"			)
							# Volume is radius squared * height * pi
							return pow(lowercase_   ,    2			) * height * pi






def    A__							(     UpperCamelCase   ,    UpperCamelCase   ,    UpperCamelCase			):
							# 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(lowercase_   ,    2			) - pow(lowercase_   ,    2			)) * height






def    A__							(     UpperCamelCase   ,    UpperCamelCase   ,    UpperCamelCase			):
							# 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(lowercase_   ,    2			) + pow(lowercase_   ,    2			) + radius_a * radius_a)
							)






def    A__							(     UpperCamelCase   ,    UpperCamelCase			):
							if torus_radius < 0 or tube_radius < 0:
														raise ValueError("vol_torus() only accepts non-negative values"			)
							return 2 * pow(lowercase_   ,    2			) * torus_radius * pow(lowercase_   ,    2			)






def    A__							(     ):
							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()








"""simple docstring"""



from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_tf_available,
    is_tokenizers_available,
    is_torch_available,
)


SCREAMING_SNAKE_CASE							=			{
    "configuration_dpr": ["DPR_PRETRAINED_CONFIG_ARCHIVE_MAP", "DPRConfig"],
    "tokenization_dpr": [
        "DPRContextEncoderTokenizer",
        "DPRQuestionEncoderTokenizer",
        "DPRReaderOutput",
        "DPRReaderTokenizer",
    ],
}


try:
      if not is_tokenizers_available():
            raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
      pass
else:
      SCREAMING_SNAKE_CASE							=			[
          "DPRContextEncoderTokenizerFast",
          "DPRQuestionEncoderTokenizerFast",
          "DPRReaderTokenizerFast",
      ]

try:
      if not is_torch_available():
            raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
      pass
else:
      SCREAMING_SNAKE_CASE							=			[
          "DPR_CONTEXT_ENCODER_PRETRAINED_MODEL_ARCHIVE_LIST",
          "DPR_QUESTION_ENCODER_PRETRAINED_MODEL_ARCHIVE_LIST",
          "DPR_READER_PRETRAINED_MODEL_ARCHIVE_LIST",
          "DPRContextEncoder",
          "DPRPretrainedContextEncoder",
          "DPRPreTrainedModel",
          "DPRPretrainedQuestionEncoder",
          "DPRPretrainedReader",
          "DPRQuestionEncoder",
          "DPRReader",
      ]

try:
      if not is_tf_available():
            raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
      pass
else:
      SCREAMING_SNAKE_CASE							=			[
          "TF_DPR_CONTEXT_ENCODER_PRETRAINED_MODEL_ARCHIVE_LIST",
          "TF_DPR_QUESTION_ENCODER_PRETRAINED_MODEL_ARCHIVE_LIST",
          "TF_DPR_READER_PRETRAINED_MODEL_ARCHIVE_LIST",
          "TFDPRContextEncoder",
          "TFDPRPretrainedContextEncoder",
          "TFDPRPretrainedQuestionEncoder",
          "TFDPRPretrainedReader",
          "TFDPRQuestionEncoder",
          "TFDPRReader",
      ]


if TYPE_CHECKING:
      from .configuration_dpr import DPR_PRETRAINED_CONFIG_ARCHIVE_MAP, DPRConfig
      from .tokenization_dpr import (
          DPRContextEncoderTokenizer,
          DPRQuestionEncoderTokenizer,
          DPRReaderOutput,
          DPRReaderTokenizer,
      )

      try:
            if not is_tokenizers_available():
                  raise OptionalDependencyNotAvailable()
      except OptionalDependencyNotAvailable:
            pass
      else:
            from .tokenization_dpr_fast import (
                DPRContextEncoderTokenizerFast,
                DPRQuestionEncoderTokenizerFast,
                DPRReaderTokenizerFast,
            )

      try:
            if not is_torch_available():
                  raise OptionalDependencyNotAvailable()
      except OptionalDependencyNotAvailable:
            pass
      else:
            from .modeling_dpr import (
                DPR_CONTEXT_ENCODER_PRETRAINED_MODEL_ARCHIVE_LIST,
                DPR_QUESTION_ENCODER_PRETRAINED_MODEL_ARCHIVE_LIST,
                DPR_READER_PRETRAINED_MODEL_ARCHIVE_LIST,
                DPRContextEncoder,
                DPRPretrainedContextEncoder,
                DPRPreTrainedModel,
                DPRPretrainedQuestionEncoder,
                DPRPretrainedReader,
                DPRQuestionEncoder,
                DPRReader,
            )

      try:
            if not is_tf_available():
                  raise OptionalDependencyNotAvailable()
      except OptionalDependencyNotAvailable:
            pass
      else:
            from .modeling_tf_dpr import (
                TF_DPR_CONTEXT_ENCODER_PRETRAINED_MODEL_ARCHIVE_LIST,
                TF_DPR_QUESTION_ENCODER_PRETRAINED_MODEL_ARCHIVE_LIST,
                TF_DPR_READER_PRETRAINED_MODEL_ARCHIVE_LIST,
                TFDPRContextEncoder,
                TFDPRPretrainedContextEncoder,
                TFDPRPretrainedQuestionEncoder,
                TFDPRPretrainedReader,
                TFDPRQuestionEncoder,
                TFDPRReader,
            )

else:
      import sys

      SCREAMING_SNAKE_CASE							=			_LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)





