

"""simple docstring"""




from math import pi, sqrt, tan





def       lowercase__						(       snake_case_   :float    ):
	if side_length < 0:
		raise ValueError('''surface_area_cube() only accepts non-negative values'''    )
	return 6 * side_length**2





def       lowercase__						(       snake_case_   :float			,		snake_case_   :float			,		snake_case_   :float    ):
	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__						(       snake_case_   :float    ):
	if radius < 0:
		raise ValueError('''surface_area_sphere() only accepts non-negative values'''    )
	return 4 * pi * radius**2





def       lowercase__						(       snake_case_   :float    ):
	if radius < 0:
		raise ValueError('''surface_area_hemisphere() only accepts non-negative values'''    )
	return 3 * pi * radius**2





def       lowercase__						(       snake_case_   :float			,		snake_case_   :float    ):
	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__						(       snake_case_   :float			,		snake_case_   :float			,		snake_case_   :float    ):
	if radius_a < 0 or radius_a < 0 or height < 0:
		raise ValueError(
		    '''surface_area_conical_frustum() only accepts non-negative values'''    )
	__UpperCAmelCase      		= (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__						(       snake_case_   :float			,		snake_case_   :float    ):
	if radius < 0 or height < 0:
		raise ValueError('''surface_area_cylinder() only accepts non-negative values'''    )
	return 2 * pi * radius * (height + radius)





def       lowercase__						(       snake_case_   :float			,		snake_case_   :float    ):
	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(snake_case_			,		2    ) * torus_radius * tube_radius





def       lowercase__						(       snake_case_   :float			,		snake_case_   :float    ):
	if length < 0 or width < 0:
		raise ValueError('''area_rectangle() only accepts non-negative values'''    )
	return length * width





def       lowercase__						(       snake_case_   :float    ):
	if side_length < 0:
		raise ValueError('''area_square() only accepts non-negative values'''    )
	return side_length**2





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





def       lowercase__						(       snake_case_   :float			,		snake_case_   :float			,		snake_case_   :float    ):
	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'''    )
	__UpperCAmelCase      		= (sidea + sidea + sidea) / 2
	__UpperCAmelCase      		= sqrt(
	    semi_perimeter
	    * (semi_perimeter - sidea)
	    * (semi_perimeter - sidea)
	    * (semi_perimeter - sidea)    )
	return area





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





def       lowercase__						(       snake_case_   :float			,		snake_case_   :float			,		snake_case_   :float    ):
	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__						(       snake_case_   :float    ):
	if radius < 0:
		raise ValueError('''area_circle() only accepts non-negative values'''    )
	return pi * radius**2





def       lowercase__						(       snake_case_   :float			,		snake_case_   :float    ):
	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__						(       snake_case_   :float			,		snake_case_   :float    ):
	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__						(       snake_case_   :int			,		snake_case_   :float    ):
	if not isinstance(snake_case_			,		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) = }""")







'''simple docstring'''




from math import loga




def 						__lowerCamelCase			(	UpperCAmelCase_							)   ->int:
	if a < 0:
		raise ValueError('Input value must be a positive integer'							)
	elif isinstance(UpperCAmelCase_					,				UpperCAmelCase_							):
		raise TypeError('Input value must be a \'int\' type'							)
	return 0 if (a == 0) else int(loga(a & -a							)							)


if __name__ == "__main__":
			import doctest

			doctest.testmod()



