


from math import pi, sqrt, tan
def      _a					( SCREAMING_SNAKE_CASE	):


		"""simple docstring"""




		if side_length < 0:
				raise ValueError('''surface_area_cube() only accepts non-negative values'''	)
		return 6 * side_length**2
def      _a					( SCREAMING_SNAKE_CASE		,							SCREAMING_SNAKE_CASE		,							SCREAMING_SNAKE_CASE	):


		"""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      _a					( SCREAMING_SNAKE_CASE	):


		"""simple docstring"""




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


		"""simple docstring"""




		if radius < 0:
				raise ValueError('''surface_area_hemisphere() only accepts non-negative values'''	)
		return 3 * pi * radius**2
def      _a					( SCREAMING_SNAKE_CASE		,							SCREAMING_SNAKE_CASE	):


		"""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      _a					( SCREAMING_SNAKE_CASE		,							SCREAMING_SNAKE_CASE		,							SCREAMING_SNAKE_CASE	):


		"""simple docstring"""




		if radius_a < 0 or radius_a < 0 or height < 0:
				raise ValueError(
				    '''surface_area_conical_frustum() only accepts non-negative values'''	)
		lowercase__				= (height**2 + (radius_a - radius_a) ** 2) ** 0.5
		return pi * ((slant_height * (radius_a + radius_a)) + radius_a**2 + radius_a**2)
def      _a					( SCREAMING_SNAKE_CASE		,							SCREAMING_SNAKE_CASE	):


		"""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      _a					( SCREAMING_SNAKE_CASE		,							SCREAMING_SNAKE_CASE	):


		"""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(SCREAMING_SNAKE_CASE		,							2	) * torus_radius * tube_radius
def      _a					( SCREAMING_SNAKE_CASE		,							SCREAMING_SNAKE_CASE	):


		"""simple docstring"""




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


		"""simple docstring"""




		if side_length < 0:
				raise ValueError('''area_square() only accepts non-negative values'''	)
		return side_length**2
def      _a					( SCREAMING_SNAKE_CASE		,							SCREAMING_SNAKE_CASE	):


		"""simple docstring"""




		if base < 0 or height < 0:
				raise ValueError('''area_triangle() only accepts non-negative values'''	)
		return (base * height) / 2
def      _a					( SCREAMING_SNAKE_CASE		,							SCREAMING_SNAKE_CASE		,							SCREAMING_SNAKE_CASE	):


		"""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'''	)
		lowercase__				= (sidea + sidea + sidea) / 2
		lowercase__				= sqrt(
		    semi_perimeter
		    * (semi_perimeter - sidea)
		    * (semi_perimeter - sidea)
		    * (semi_perimeter - sidea)	)
		return area
def      _a					( SCREAMING_SNAKE_CASE		,							SCREAMING_SNAKE_CASE	):


		"""simple docstring"""




		if base < 0 or height < 0:
				raise ValueError('''area_parallelogram() only accepts non-negative values'''	)
		return base * height
def      _a					( SCREAMING_SNAKE_CASE		,							SCREAMING_SNAKE_CASE		,							SCREAMING_SNAKE_CASE	):


		"""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      _a					( SCREAMING_SNAKE_CASE	):


		"""simple docstring"""




		if radius < 0:
				raise ValueError('''area_circle() only accepts non-negative values'''	)
		return pi * radius**2
def      _a					( SCREAMING_SNAKE_CASE		,							SCREAMING_SNAKE_CASE	):


		"""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      _a					( SCREAMING_SNAKE_CASE		,							SCREAMING_SNAKE_CASE	):


		"""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      _a					( SCREAMING_SNAKE_CASE		,							SCREAMING_SNAKE_CASE	):


		"""simple docstring"""




		if not isinstance(SCREAMING_SNAKE_CASE		,							SCREAMING_SNAKE_CASE	) or sides < 3:
				raise ValueError(
				    '''area_reg_polygon() only accepts integers greater than or \
equal to three as number of sides'''	)
		elif length < 0:
				raise ValueError(
				    '''area_reg_polygon() only accepts non-negative values as \
length 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) = }""")







def        __lowerCAmelCase		(	__lowerCamelCase						:     int						)	->    bool:
					if number < 0:
										raise ValueError("""number must not be negative"""						)
					return number & (number - 1) == 0


if __name__ == "__main__":
				import doctest

				doctest.testmod()




