public/subjects/does_it_fit

doe_it_fit

Instructions

Using the areas_volumes module provided, create two functions:

• area_fit that receives 6 arguments:

  • x and y, size of the square in which it is going to be tried to fit the geometrical shapes (both usize)
  • objects, the type of geometrical shape(s) that it is going to be tried to be fitted in the square (areas_volumes::GeometricalShapes)
  • times, the number of geometrical shapes that are going to be tried to be fitted in the square (usize)
  • a and b, the dimensions that the plane(s) shape(s) passed will have (both usize)
  • a will refer to the side of the Square, the radius of the Circle, the side_a of the Rectangle or the base of the Triangle
  • b will refer to the side_b of the Rectangle or the height of the Triangle

• area_fit should return if the geometrical shape(s) fit inside of the square.

  • volume_fit that receives 8 arguments:
  • x, y and z, size of the box in which it is going to be tried to fit the geometrical volumes (both usize)
  • objects, the type of geometrical volume(s) that it is going to be tried to be fitted in the box (areas_volumes::GeometricalVolumes)
  • times, the number of geometrical volumes that are going to be tried to be fitted in the box (usize)
  • a, b and c, the dimensions that the geometrical volume(s) passed will have (all of them usize)
  • a will refer to the side of the Cube, the radius of the Sphere, the side_a of the Parallelepiped, the area of the base of the Triangular Pyramid or the base radius of the Cone
  • b will refer to the side_b of the Parallelepiped, the height of the Triangular Pyramid or the height of the Cone
  • c will refer to the side_c of the Parallelepiped

• volume_fit should return if the geometrical volume(s) fit inside of the box.

Expected Functions (and Structures)

pub fn area_fit(
	x: usize,
	y: usize,
	objects: areas_volumes::GeometricalShapes,
	times: usize,
	a: usize,
	b: usize,
) {}
pub fn volume_fit(
	x: usize,
	y: usize,
	z: usize,
	objects: areas_volumes::GeometricalVolumes,
	times: usize,
	a: usize,
	b: usize,
	c: usize,
) {}

Usage

Here is a program to test your function:

fn main() {
	println!(
		"Does 100 rectangles (2x1) fit in a 2 by 4 square? {}",
		area_fit(2, 4, GeometricalShapes::Rectangle, 100, 2, 1)
	);
	println!(
		"Does 3 triangles (5 base and 3 height) fit in a 5 by 5 square? {}",
		area_fit(5, 5, GeometricalShapes::Triangle, 3, 5, 3)
	);
	println!(
		"Does 3 spheres (2 radius) fit in a 5 by 5 by 5 box? {}",
		volume_fit(5, 5, 5, GeometricalVolumes::Sphere, 3, 2, 0, 0)
	);
	println!(
		"Does 3 triangles (5 base and 3 height) fit in a 5 by 7 by 5 box? {}",
		volume_fit(5, 7, 5, GeometricalVolumes::Parallelepiped, 1, 6, 7, 4)
	);
}

And its output:

$ cargo run
false
true
false
true
$