






"""simple docstring"""





from __future__ import annotations

from math import pi, pow






def 							A(    snake_case_						):
       """simple docstring"""





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






def 							A(    snake_case_		,  snake_case_						):
       """simple docstring"""





       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(snake_case_		,  2						) * (3 * radius - height)






def 							A(    snake_case_		,  snake_case_		,  snake_case_						):
       """simple docstring"""





       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(snake_case_		,  snake_case_						)						)

       lowercase__:							Optional[Any]         =     (
           (radius_a - radius_a + centers_distance)
           * (radius_a + radius_a - centers_distance)
           / (2 * centers_distance)
       )
       lowercase__:							int         =     (
           (radius_a - radius_a + centers_distance)
           * (radius_a + radius_a - centers_distance)
           / (2 * centers_distance)
       )

       return vol_spherical_cap(snake_case_		,  snake_case_						) + vol_spherical_cap(snake_case_		,  snake_case_						)






def 							A(    snake_case_		,  snake_case_		,  snake_case_						):
       """simple docstring"""





       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(snake_case_		,  snake_case_						)						)

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






def 							A(    snake_case_		,  snake_case_		,  snake_case_						):
       """simple docstring"""





       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(    snake_case_		,  snake_case_						):
       """simple docstring"""





       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(    snake_case_		,  snake_case_						):
       """simple docstring"""





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






def 							A(    snake_case_		,  snake_case_						):
       """simple docstring"""





       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(    snake_case_		,  snake_case_						):
       """simple docstring"""





       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(    snake_case_						):
       """simple docstring"""





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






def 							A(    snake_case_						):
       """simple docstring"""





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






def 							A(    snake_case_		,  snake_case_						):
       """simple docstring"""





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






def 							A(    snake_case_		,  snake_case_		,  snake_case_						):
       """simple docstring"""





       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(snake_case_		,  2						) - pow(snake_case_		,  2						)) * height






def 							A(    snake_case_		,  snake_case_		,  snake_case_						):
       """simple docstring"""





       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(snake_case_		,  2						) + pow(snake_case_		,  2						) + radius_a * radius_a)
       )






def 							A(    snake_case_		,  snake_case_						):
       """simple docstring"""





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






def 							A(    ):
       """simple docstring"""





       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 dataclasses import dataclass

UpperCamelCase					=     """0.1"""
UpperCamelCase					=     """Lucia Harcekova"""







@dataclass
class 						_a  :





   '''simple docstring'''






   UpperCamelCase__     	=							42
   UpperCamelCase__     	=							42
   UpperCamelCase__     	=							42





   def __repr__(       self)			->   str:




          '''simple docstring'''




          return F"""({self.offset}, {self.length}, {self.indicator})"""







class 						_a  :





   '''simple docstring'''






   def __init__(       self					, UpperCAmelCase_ = 13					, UpperCAmelCase_ = 6)			->   None:




          '''simple docstring'''




          lowercase__:							Union[str, Any]         =     window_size
          lowercase__:							Any         =     lookahead_buffer_size
          lowercase__:							Optional[Any]         =     self.window_size - self.lookahead_buffer_size





   def __lowercase							(       self					, UpperCAmelCase_)			->   list[Token]:




          '''simple docstring'''




          lowercase__:							Any         =     []
          lowercase__:							Union[str, Any]         =     ""

          # while there are still characters in text to compress
          while text:
                 # find the next encoding phrase
                 # - triplet with offset, length, indicator (the next encoding character)
                 lowercase__:							Optional[Any]         =     self._find_encoding_token(UpperCAmelCase_					, UpperCAmelCase_)

                 # update the search buffer:
                 # - add new characters from text into it
                 # - check if size exceed the max search buffer size, if so, drop the
                 #   oldest elements
                 search_buffer += text[: token.length + 1]
                 if len(UpperCAmelCase_) > self.search_buffer_size:
                        lowercase__:							List[Any]         =     search_buffer[-self.search_buffer_size :]

                 # update the text
                 lowercase__:							List[str]         =     text[token.length + 1 :]

                 # append the token to output
                 output.append(UpperCAmelCase_)

          return output





   def __lowercase							(       self					, UpperCAmelCase_)			->   str:




          '''simple docstring'''




          lowercase__:							int         =     ""

          for token in tokens:
                 for _ in range(token.length):
                        output += output[-token.offset]
                 output += token.indicator

          return output





   def __lowercase							(       self					, UpperCAmelCase_					, UpperCAmelCase_)			->   Token:




          '''simple docstring'''




          if not text:
                 raise ValueError("We need some text to work with.")

          # Initialise result parameters to default values
          lowercase__    ,      lowercase__:							Optional[int]         =     0, 0

          if not search_buffer:
                 return Token(UpperCAmelCase_					, UpperCAmelCase_					, text[length])

          for i, character in enumerate(UpperCAmelCase_):
                 lowercase__:							Union[str, Any]         =     len(UpperCAmelCase_) - i
                 if character == text[0]:
                        lowercase__:							Optional[Any]         =     self._match_length_from_index(UpperCAmelCase_					, UpperCAmelCase_					, 0					, UpperCAmelCase_)
                        # if the found length is bigger than the current or if it's equal,
                        # which means it's offset is smaller: update offset and length
                        if found_length >= length:
                               lowercase__    ,      lowercase__:							Any         =     found_offset, found_length

          return Token(UpperCAmelCase_					, UpperCAmelCase_					, text[length])





   def __lowercase							(       self					, UpperCAmelCase_					, UpperCAmelCase_					, UpperCAmelCase_					, UpperCAmelCase_)			->   int:




          '''simple docstring'''




          if not text or text[text_index] != window[window_index]:
                 return 0
          return 1 + self._match_length_from_index(
              UpperCAmelCase_					, window + text[text_index]					, text_index + 1					, window_index + 1)


if __name__ == "__main__":
  from doctest import testmod

  testmod()
  # Initialize compressor class
  UpperCamelCase					=     LZaaCompressor(window_size=13, lookahead_buffer_size=6)

  # Example
  UpperCamelCase					=     """cabracadabrarrarrad"""
  UpperCamelCase					=     lzaa_compressor.compress(TEXT)
  print(lzaa_compressor.compress("""ababcbababaa"""))
  UpperCamelCase					=     lzaa_compressor.decompress(compressed_text)
  assert decompressed_text == TEXT, "The LZ77 algorithm returned the invalid result."






