python 实现 数学中经典问题 课程设计 代码

""" Find the area of various geometric shapes Wikipedia reference: https://en.wikipedia.org/wiki/Area """ from math import pi, sqrt, tan def surface_area_cube(side_length: float) -> float: """ Calculate the Surface Area of a Cube. >>> surface_area_cube(1) 6 >>> surface_area_cube(1.6) 15.360000000000003 >>> surface_area_cube(0) 0 >>> surface_area_cube(3) 54 >>> surface_area_cube(-1) Traceback (most recent call last): ... ValueError: surface_area_cube() only accepts non-negative values """ if side_length < 0: raise ValueError("surface_area_cube() only accepts non-negative values") return 6 * side_length**2 def surface_area_cuboid(length: float, breadth: float, height: float) -> float: """ Calculate the Surface Area of a Cuboid. >>> surface_area_cuboid(1, 2, 3) 22 >>> surface_area_cuboid(0, 0, 0) 0 >>> surface_area_cuboid(1.6, 2.6, 3.6) 38.56 >>> surface_area_cuboid(-1, 2, 3) Traceback (most recent call last): ... ValueError: surface_area_cuboid() only accepts non-negative values >>> surface_area_cuboid(1, -2, 3) Traceback (most recent call last): ... ValueError: surface_area_cuboid() only accepts non-negative values >>> surface_area_cuboid(1, 2, -3) Traceback (most recent call last): ... ValueError: surface_area_cuboid() only accepts non-negative values """ 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 surface_area_sphere(radius: float) -> float: """ Calculate the Surface Area of a Sphere. Wikipedia reference: https://en.wikipedia.org/wiki/Sphere Formula: 4 * pi * r^2 >>> surface_area_sphere(5) 314.1592653589793 >>> surface_area_sphere(1) 12.566370614359172 >>> surface_area_sphere(1.6) 32.169908772759484 >>> surface_area_sphere(0) 0.0 >>> surface_area_sphere(-1) Traceback (most recent call last): ... ValueError: surface_area_sphere() only accepts non-negative values """ if radius < 0: raise ValueError("surface_area_sphere() only accepts non-negative values") return 4 * pi * radius**2 def surface_area_hemisphere(radius: float) -> float: """ Calculate the Surface Area of a Hemisphere. Formula: 3 * pi * r^2 >>> surface_area_hemisphere(5) 235.61944901923448 >>> surface_area_hemisphere(1) 9.42477796076938 >>> surface_area_hemisphere(0) 0.0 >>> surface_area_hemisphere(1.1) 11.40398133253095 >>> surface_area_hemisphere(-1) Traceback (most recent call last): ... ValueError: surface_area_hemisphere() only accepts non-negative values """ if radius < 0: raise ValueError("surface_area_hemisphere() only accepts non-negative values") return 3 * pi * radius**2 def surface_area_cone(radius: float, height: float) -> float: """ Calculate the Surface Area of a Cone. Wikipedia reference: https://en.wikipedia.org/wiki/Cone Formula: pi * r * (r + (h ** 2 + r ** 2) ** 0.5) >>> surface_area_cone(10, 24) 1130.9733552923256 >>> surface_area_cone(6, 8) 301.59289474462014 >>> surface_area_cone(1.6, 2.6) 23.387862992395807 >>> surface_area_cone(0, 0) 0.0 >>> surface_area_cone(-1, -2) Traceback (most recent call last): ... ValueError: surface_area_cone() only accepts non-negative values >>> surface_area_cone(1, -2) Traceback (most recent call last): ... ValueError: surface_area_cone() only accepts non-negative values >>> surface_area_cone(-1, 2) Traceback (most recent call last): ... ValueError: surface_area_cone() only accepts non-negative values """ 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 surface_area_conical_frustum( radius_1: float, radius_2: float, height: float ) -> float: """ Calculate the Surface Area of a Conical Frustum. >>> surface_area_conical_frustum(1, 2, 3) 45.511728065337266 >>> surface_area_conical_frustum(4, 5, 6) 300.7913575056268 >>> surface_area_conical_frustum(0, 0, 0) 0.0 >>> surface_area_conical_frustum(1.6, 2.6, 3.6) 78.57907060751548 >>> surface_area_conical_frustum(-1, 2, 3) Traceback (most recent call last): ... ValueError: surface_area_conical_frustum() only accepts non-negative values >>> surface_area_conical_frustum(1, -2, 3) Traceback (most recent call last): ... ValueError: surface_area_conical_frustum() only accepts non-negative values >>> surface_area_conical_frustum(1, 2, -3) Traceback (most recent call last): ... ValueError: surface_area_conical_frustum() only accepts non-negative values """ if radius_1 < 0 or radius_2 < 0 or height < 0: raise ValueError( "surface_area_conical_frustum() only accepts non-negative values" ) slant_height = (height**2 + (radius_1 - radius_2) ** 2) ** 0.5 return pi * ((slant_height * (radius_1 + radius_2)) + radius_1**2 + radius_2**2) def surface_area_cylinder(radius: float, height: float) -> float: """ Calculate the Surface Area of a Cylinder. Wikipedia reference: https://en.wikipedia.org/wiki/Cylinder Formula: 2 * pi * r * (h + r) >>> surface_area_cylinder(7, 10) 747.6990515543707 >>> surface_area_cylinder(1.6, 2.6) 42.22300526424682 >>> surface_area_cylinder(0, 0) 0.0 >>> surface_area_cylinder(6, 8) 527.7875658030853 >>> surface_area_cylinder(-1, -2) Traceback (most recent call last): ... ValueError: surface_area_cylinder() only accepts non-negative values >>> surface_area_cylinder(1, -2) Traceback (most recent call last): ... ValueError: surface_area_cylinder() only accepts non-negative values >>> surface_area_cylinder(-1, 2) Traceback (most recent call last): ... ValueError: surface_area_cylinder() only accepts non-negative values """ if radius < 0 or height < 0: raise ValueError("surface_area_cylinder() only accepts non-negative values") return 2 * pi * radius * (height + radius) def surface_area_torus(torus_radius: float, tube_radius: float) -> float: """Calculate the Area of a Torus. Wikipedia reference: https://en.wikipedia.org/wiki/Torus :return 4pi^2 * torus_radius * tube_radius >>> surface_area_torus(1, 1) 39.47841760435743 >>> surface_area_torus(4, 3) 473.7410112522892 >>> surface_area_torus(3, 4) Traceback (most recent call last): ... ValueError: surface_area_torus() does not support spindle or self intersecting tori >>> surface_area_torus(1.6, 1.6) 101.06474906715503 >>> surface_area_torus(0, 0) 0.0 >>> surface_area_torus(-1, 1) Traceback (most recent call last): ... ValueError: surface_area_torus() only accepts non-negative values >>> surface_area_torus(1, -1) Traceback (most recent call last): ... ValueError: surface_area_torus() only accepts non-negative values """ 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(pi, 2) * torus_radius * tube_radius def area_rec