"""simple docstring"""





from math import pi, sqrt, tan


def    lowercase_   (   _lowerCamelCase:	Tuple      ) ->      List[Any]:



							'''simple docstring'''

							if side_length < 0:
														raise ValueError("surface_area_cube() only accepts non-negative values"      )
							return 6 * side_length**2


def    lowercase_   (   _lowerCamelCase:	Dict						,   _lowerCamelCase:	List[Any]						,   _lowerCamelCase:	Tuple      ) ->      str:



							'''simple docstring'''

							if length < 0 or breadth < 0 or height < 0:
														raise ValueError("surface_area_cuboid() only accepts non-negative values"      )
							return 2 * ((length * breadth) + (breadth * height) + (length * height))


def    lowercase_   (   _lowerCamelCase:	List[Any]      ) ->      Union[str, Any]:



							'''simple docstring'''

							if radius < 0:
														raise ValueError("surface_area_sphere() only accepts non-negative values"      )
							return 4 * pi * radius**2


def    lowercase_   (   _lowerCamelCase:	Dict      ) ->      int:



							'''simple docstring'''

							if radius < 0:
														raise ValueError("surface_area_hemisphere() only accepts non-negative values"      )
							return 3 * pi * radius**2


def    lowercase_   (   _lowerCamelCase:	Union[str, Any]						,   _lowerCamelCase:	Optional[int]      ) ->      Dict:



							'''simple docstring'''

							if radius < 0 or height < 0:
														raise ValueError("surface_area_cone() only accepts non-negative values"      )
							return pi * radius * (radius + (height**2 + radius**2) ** 0.5)


def    lowercase_   (   _lowerCamelCase:	List[str]						,   _lowerCamelCase:	List[Any]						,   _lowerCamelCase:	List[str]      ) ->      Optional[Any]:



							'''simple docstring'''

							if radius_a < 0 or radius_a < 0 or height < 0:
														raise ValueError(
														    "surface_area_conical_frustum() only accepts non-negative values"      )
							__lowerCamelCase					:		Optional[int]							   =     (height**2 + (radius_a - radius_a) ** 2) ** 0.5
							return pi * ((slant_height * (radius_a + radius_a)) + radius_a**2 + radius_a**2)


def    lowercase_   (   _lowerCamelCase:	Optional[Any]						,   _lowerCamelCase:	Any      ) ->      List[Any]:



							'''simple docstring'''

							if radius < 0 or height < 0:
														raise ValueError("surface_area_cylinder() only accepts non-negative values"      )
							return 2 * pi * radius * (height + radius)


def    lowercase_   (   _lowerCamelCase:	Dict						,   _lowerCamelCase:	int      ) ->      Optional[int]:



							'''simple docstring'''

							if torus_radius < 0 or tube_radius < 0:
														raise ValueError("surface_area_torus() only accepts non-negative values"      )
							if torus_radius < tube_radius:
														raise ValueError(
														    "surface_area_torus() does not support spindle or self intersecting tori"      )
							return 4 * pow(A_						,   2      ) * torus_radius * tube_radius


def    lowercase_   (   _lowerCamelCase:	Union[str, Any]						,   _lowerCamelCase:	Any      ) ->      Optional[int]:



							'''simple docstring'''

							if length < 0 or width < 0:
														raise ValueError("area_rectangle() only accepts non-negative values"      )
							return length * width


def    lowercase_   (   _lowerCamelCase:	List[Any]      ) ->      Dict:



							'''simple docstring'''

							if side_length < 0:
														raise ValueError("area_square() only accepts non-negative values"      )
							return side_length**2


def    lowercase_   (   _lowerCamelCase:	List[Any]						,   _lowerCamelCase:	str      ) ->      Dict:



							'''simple docstring'''

							if base < 0 or height < 0:
														raise ValueError("area_triangle() only accepts non-negative values"      )
							return (base * height) / 2


def    lowercase_   (   _lowerCamelCase:	Tuple						,   _lowerCamelCase:	Any						,   _lowerCamelCase:	Tuple      ) ->      Tuple:



							'''simple docstring'''

							if sidea < 0 or sidea < 0 or sidea < 0:
														raise ValueError("area_triangle_three_sides() only accepts non-negative values"      )
							elif sidea + sidea < sidea or sidea + sidea < sidea or sidea + sidea < sidea:
														raise ValueError("Given three sides do not form a triangle"      )
							__lowerCamelCase					:		Optional[int]							   =     (sidea + sidea + sidea) / 2
							__lowerCamelCase					:		Optional[int]							   =     sqrt(
							    semi_perimeter
							    * (semi_perimeter - sidea)
							    * (semi_perimeter - sidea)
							    * (semi_perimeter - sidea)      )
							return area


def    lowercase_   (   _lowerCamelCase:	Optional[Any]						,   _lowerCamelCase:	Any      ) ->      Tuple:



							'''simple docstring'''

							if base < 0 or height < 0:
														raise ValueError("area_parallelogram() only accepts non-negative values"      )
							return base * height


def    lowercase_   (   _lowerCamelCase:	Optional[Any]						,   _lowerCamelCase:	int						,   _lowerCamelCase:	int      ) ->      int:



							'''simple docstring'''

							if basea < 0 or basea < 0 or height < 0:
														raise ValueError("area_trapezium() only accepts non-negative values"      )
							return 1 / 2 * (basea + basea) * height


def    lowercase_   (   _lowerCamelCase:	List[str]      ) ->      int:



							'''simple docstring'''

							if radius < 0:
														raise ValueError("area_circle() only accepts non-negative values"      )
							return pi * radius**2


def    lowercase_   (   _lowerCamelCase:	List[Any]						,   _lowerCamelCase:	Any      ) ->      List[Any]:



							'''simple docstring'''

							if radius_x < 0 or radius_y < 0:
														raise ValueError("area_ellipse() only accepts non-negative values"      )
							return pi * radius_x * radius_y


def    lowercase_   (   _lowerCamelCase:	int						,   _lowerCamelCase:	Any      ) ->      List[Any]:



							'''simple docstring'''

							if diagonal_a < 0 or diagonal_a < 0:
														raise ValueError("area_rhombus() only accepts non-negative values"      )
							return 1 / 2 * diagonal_a * diagonal_a


def    lowercase_   (   _lowerCamelCase:	Dict						,   _lowerCamelCase:	int      ) ->      Union[str, Any]:



							'''simple docstring'''

							if not isinstance(A_						,   A_      ) or sides < 3:
														raise ValueError(
														    "area_reg_polygon() only accepts integers greater than or \\nequal to three as number of sides"      )
							elif length < 0:
														raise ValueError(
														    "area_reg_polygon() only accepts non-negative values as \\nlength of a side"      )
							return (sides * length**2) / (4 * tan(pi / sides      ))
							return (sides * length**2) / (4 * tan(pi / sides      ))


if __name__ == "__main__":
				import doctest

				doctest.testmod(verbose=True)  # verbose so we can see methods missing tests

				print('''[DEMO] Areas of various geometric shapes: \n''')
				print(F"""Rectangle: {area_rectangle(10, 20) = }""")
				print(F"""Square: {area_square(10) = }""")
				print(F"""Triangle: {area_triangle(10, 10) = }""")
				print(F"""Triangle: {area_triangle_three_sides(5, 12, 13) = }""")
				print(F"""Parallelogram: {area_parallelogram(10, 20) = }""")
				print(F"""Rhombus: {area_rhombus(10, 20) = }""")
				print(F"""Trapezium: {area_trapezium(10, 20, 30) = }""")
				print(F"""Circle: {area_circle(20) = }""")
				print(F"""Ellipse: {area_ellipse(10, 20) = }""")
				print('''\nSurface Areas of various geometric shapes: \n''')
				print(F"""Cube: {surface_area_cube(20) = }""")
				print(F"""Cuboid: {surface_area_cuboid(10, 20, 30) = }""")
				print(F"""Sphere: {surface_area_sphere(20) = }""")
				print(F"""Hemisphere: {surface_area_hemisphere(20) = }""")
				print(F"""Cone: {surface_area_cone(10, 20) = }""")
				print(F"""Conical Frustum: {surface_area_conical_frustum(10, 20, 30) = }""")
				print(F"""Cylinder: {surface_area_cylinder(10, 20) = }""")
				print(F"""Torus: {surface_area_torus(20, 10) = }""")
				print(F"""Equilateral Triangle: {area_reg_polygon(3, 10) = }""")
				print(F"""Square: {area_reg_polygon(4, 10) = }""")
				print(F"""Reqular Pentagon: {area_reg_polygon(5, 10) = }""")
"""simple docstring"""





import copy
from dataclasses import dataclass
from pathlib import Path
from typing import Dict, Optional, Union
@dataclass
class  _snake_case     :
						snake_case__			  =			None
						snake_case__			  =			False
						snake_case__			  =			False
						snake_case__			  =			False
						snake_case__			  =			None
						snake_case__			  =			None
						snake_case__			  =			False
						snake_case__			  =			False
						snake_case__			  =			False
						snake_case__			  =			True
						snake_case__			  =			None
						snake_case__			  =			1
						snake_case__			  =			None
						snake_case__			  =			False
						snake_case__			  =			None
						snake_case__			  =			None






						def       lowerCamelCase__     (       self      :			Any    ):
													return self.__class__(**{k: copy.deepcopy(UpperCAmelCase    ) for k, v in self.__dict__.items()}    )