code: 
  
  
  
  
  
  
  from __future__ import annotations
  
  from math import pi, pow
  
  
  
  
  
  
  
  def 	SCREAMING_SNAKE_CASE							(      __lowerCAmelCase    )				->			float:
       if side_length < 0:
            raise ValueError("vol_cube() only accepts non-negative values"    )
       return pow(__lowerCAmelCase      ,					3    )
  
  
  
  
  
  
  
  def 	SCREAMING_SNAKE_CASE							(      __lowerCAmelCase      ,					__lowerCAmelCase    )				->			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(__lowerCAmelCase      ,					2    ) * (3 * radius - height)
  
  
  
  
  
  
  
  def 	SCREAMING_SNAKE_CASE							(      __lowerCAmelCase      ,					__lowerCAmelCase      ,					__lowerCAmelCase    )				->			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(__lowerCAmelCase      ,					__lowerCAmelCase    )    )
  
       UpperCamelCase__    :     Optional[int]        =						(
           (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(__lowerCAmelCase      ,					__lowerCAmelCase    ) + vol_spherical_cap(__lowerCAmelCase      ,					__lowerCAmelCase    )
  
  
  
  
  
  
  
  def 	SCREAMING_SNAKE_CASE							(      __lowerCAmelCase      ,					__lowerCAmelCase      ,					__lowerCAmelCase    )				->			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(__lowerCAmelCase      ,					__lowerCAmelCase    )    )
  
       return (
           vol_sphere(__lowerCAmelCase    )
           + vol_sphere(__lowerCAmelCase    )
           - vol_spheres_intersect(__lowerCAmelCase      ,					__lowerCAmelCase      ,					__lowerCAmelCase    )
       )
  
  
  
  
  
  
  
  def 	SCREAMING_SNAKE_CASE							(      __lowerCAmelCase      ,					__lowerCAmelCase      ,					__lowerCAmelCase    )				->			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 	SCREAMING_SNAKE_CASE							(      __lowerCAmelCase      ,					__lowerCAmelCase    )				->			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 	SCREAMING_SNAKE_CASE							(      __lowerCAmelCase      ,					__lowerCAmelCase    )				->			float:
       if height < 0 or radius < 0:
            raise ValueError("vol_right_circ_cone() only accepts non-negative values"    )
       return pi * pow(__lowerCAmelCase      ,					2    ) * height / 3.0
  
  
  
  
  
  
  
  def 	SCREAMING_SNAKE_CASE							(      __lowerCAmelCase      ,					__lowerCAmelCase    )				->			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 	SCREAMING_SNAKE_CASE							(      __lowerCAmelCase      ,					__lowerCAmelCase    )				->			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 	SCREAMING_SNAKE_CASE							(      __lowerCAmelCase    )				->			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(__lowerCAmelCase      ,					3    )
  
  
  
  
  
  
  
  def 	SCREAMING_SNAKE_CASE							(      __lowerCAmelCase    )				->			float:
       if radius < 0:
            raise ValueError("vol_hemisphere() only accepts non-negative values"    )
       # Volume is radius cubed * pi * 2/3
       return pow(__lowerCAmelCase      ,					3    ) * pi * 2 / 3
  
  
  
  
  
  
  
  def 	SCREAMING_SNAKE_CASE							(      __lowerCAmelCase      ,					__lowerCAmelCase    )				->			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(__lowerCAmelCase      ,					2    ) * height * pi
  
  
  
  
  
  
  
  def 	SCREAMING_SNAKE_CASE							(      __lowerCAmelCase      ,					__lowerCAmelCase      ,					__lowerCAmelCase    )				->			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(__lowerCAmelCase      ,					2    ) - pow(__lowerCAmelCase      ,					2    )) * height
  
  
  
  
  
  
  
  def 	SCREAMING_SNAKE_CASE							(      __lowerCAmelCase      ,					__lowerCAmelCase      ,					__lowerCAmelCase    )				->			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(__lowerCAmelCase      ,					2    ) + pow(__lowerCAmelCase      ,					2    ) + radius_a * radius_a)
       )
  
  
  
  
  
  
  
  def 	SCREAMING_SNAKE_CASE							(      __lowerCAmelCase      ,					__lowerCAmelCase    )				->			float:
       if torus_radius < 0 or tube_radius < 0:
            raise ValueError("vol_torus() only accepts non-negative values"    )
       return 2 * pow(__lowerCAmelCase      ,					2    ) * torus_radius * pow(__lowerCAmelCase      ,					2    )
  
  
  
  
  
  
  
  def 	SCREAMING_SNAKE_CASE							(      )				->			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()
  
  
  
  
  
style_context: 
  
  
  
  
  
  
  import numpy as np  # noqa: E402
  
  from ...configuration_utils import ConfigMixin, register_to_config
  from ...schedulers.scheduling_utils import SchedulerMixin
  
  
  try:
   import librosa  # noqa: E402
  
   lowerCamelCase			:							List[str]       =True
   lowerCamelCase			:							Dict       =''''''
  except Exception as e:
   lowerCamelCase			:							str       =False
   lowerCamelCase			:							List[Any]       =(
       F"""Cannot import librosa because {e}. Make sure to correctly install librosa to be able to install it."""
   )
  
  
  from PIL import Image  # noqa: E402
  
  
  
  
  
  class     __a						(					A__ ,     A__ ):
   _lowerCAmelCase : Optional[Any] 				=				'''mel_config.json'''
  
  
  
  
  
  
  
   @register_to_config
   def __init__(	self      :     Any							,     SCREAMING_SNAKE_CASE      :     int = 2_56							,     SCREAMING_SNAKE_CASE      :     int = 2_56							,     SCREAMING_SNAKE_CASE      :     int = 2_20_50							,     SCREAMING_SNAKE_CASE      :     int = 20_48							,     SCREAMING_SNAKE_CASE      :     int = 5_12							,     SCREAMING_SNAKE_CASE      :     int = 80							,     SCREAMING_SNAKE_CASE      :     int = 32							,     ):
  
  
        '''simple docstring'''
  
  
  
  
  
  
        UpperCamelCase__    :     str        =						hop_length
        UpperCamelCase__    :     Optional[Any]        =						sample_rate
        UpperCamelCase__    :     Dict        =						n_fft
        UpperCamelCase__    :     str        =						top_db
        UpperCamelCase__    :     Optional[Any]        =						n_iter
        self.set_resolution(SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE		)
        UpperCamelCase__    :     str        =						None
  
        if not _librosa_can_be_imported:
             raise ValueError(_import_error		)
  
  
  
  
  
  
  
   def       __lowercase      (	self      :     Tuple							,     SCREAMING_SNAKE_CASE      :     int							,     SCREAMING_SNAKE_CASE      :     int		):
  
  
        '''simple docstring'''
  
  
  
  
  
  
        UpperCamelCase__    :     Dict        =						x_res
        UpperCamelCase__    :     Dict        =						y_res
        UpperCamelCase__    :     Dict        =						self.y_res
        UpperCamelCase__    :     Any        =						self.x_res * self.hop_length - 1
  
  
  
  
  
  
  
   def       __lowercase      (	self      :     str							,     SCREAMING_SNAKE_CASE      :     str = None							,     SCREAMING_SNAKE_CASE      :     np.ndarray = None		):
  
  
        '''simple docstring'''
  
  
  
  
  
  
        if audio_file is not None:
             UpperCamelCase__       ,  UpperCamelCase__    :     int        =						librosa.load(SCREAMING_SNAKE_CASE							,     mono=SCREAMING_SNAKE_CASE							,     sr=self.sr		)
        else:
             UpperCamelCase__    :     List[Any]        =						raw_audio
  
        # Pad with silence if necessary.
        if len(self.audio		) < self.x_res * self.hop_length:
             UpperCamelCase__    :     List[Any]        =						np.concatenate([self.audio, np.zeros((self.x_res * self.hop_length - len(self.audio		),)		)]		)
  
  
  
  
  
  
  
   def       __lowercase      (	self      :     List[Any]		):
  
  
        '''simple docstring'''
  
  
  
  
  
  
        return len(self.audio		) // self.slice_size
  
  
  
  
  
  
  
   def       __lowercase      (	self      :     int							,     SCREAMING_SNAKE_CASE      :     int = 0		):
  
  
        '''simple docstring'''
  
  
  
  
  
  
        return self.audio[self.slice_size * slice : self.slice_size * (slice + 1)]
  
  
  
  
  
  
  
   def       __lowercase      (	self      :     Tuple		):
  
  
        '''simple docstring'''
  
  
  
  
  
  
        return self.sr
  
  
  
  
  
  
  
   def       __lowercase      (	self      :     Union[str, Any]							,     SCREAMING_SNAKE_CASE      :     int		):
  
  
        '''simple docstring'''
  
  
  
  
  
  
        UpperCamelCase__    :     Optional[int]        =						librosa.feature.melspectrogram(
            y=self.get_audio_slice(SCREAMING_SNAKE_CASE		)							,     sr=self.sr							,     n_fft=self.n_fft							,     hop_length=self.hop_length							,     n_mels=self.n_mels		)
        UpperCamelCase__    :     Tuple        =						librosa.power_to_db(SCREAMING_SNAKE_CASE							,     ref=np.max							,     top_db=self.top_db		)
        UpperCamelCase__    :     Optional[Any]        =						(((log_S + self.top_db) * 2_55 / self.top_db).clip(0							,     2_55		) + 0.5).astype(np.uinta		)
        UpperCamelCase__    :     Optional[Any]        =						Image.fromarray(SCREAMING_SNAKE_CASE		)
        return image
  
  
  
  
  
  
  
   def       __lowercase      (	self      :     List[Any]							,     SCREAMING_SNAKE_CASE      :     Image.Image		):
  
  
        '''simple docstring'''
  
  
  
  
  
  
        UpperCamelCase__    :     Optional[Any]        =						np.frombuffer(image.tobytes()							,     dtype="uint8"		).reshape((image.height, image.width)		)
        UpperCamelCase__    :     str        =						bytedata.astype("float"		) * self.top_db / 2_55 - self.top_db
        UpperCamelCase__    :     Any        =						librosa.db_to_power(SCREAMING_SNAKE_CASE		)
        UpperCamelCase__    :     Tuple        =						librosa.feature.inverse.mel_to_audio(
            SCREAMING_SNAKE_CASE							,     sr=self.sr							,     n_fft=self.n_fft							,     hop_length=self.hop_length							,     n_iter=self.n_iter		)
        return audio