cgmath 0.4.0

// Copyright 2014 The CGMath Developers. For a full listing of the authors,
// refer to the Cargo.toml file at the top-level directory of this distribution.
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
//     http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.

extern crate cgmath;

use cgmath::{Aabb, Aabb2, Aabb3};
use cgmath::{Point2, Point3};
use cgmath::{Vector2, Vector3};
use cgmath::{Ray, Intersect};
use cgmath::{Plane, Bound, Relation};

#[test]
fn test_general() {
    let aabb = Aabb2::new(Point2::new(-20isize, 30isize), Point2::new(10isize, -10isize));
    assert_eq!(aabb.min(), &Point2::new(-20isize, -10isize));
    assert_eq!(aabb.max(), &Point2::new(10isize, 30isize));
    assert_eq!(aabb.dim(), Vector2::new(30isize, 40isize));
    assert_eq!(aabb.volume(), 30isize * 40isize);
    assert_eq!(aabb.center(), Point2::new(-5isize, 10isize));

    assert!(aabb.contains(&Point2::new(0isize, 0isize)));
    assert!(!aabb.contains(&Point2::new(-50isize, -50isize)));
    assert!(!aabb.contains(&Point2::new(50isize, 50isize)));

    assert_eq!(aabb.grow(&Point2::new(0isize, 0isize)), aabb);
    assert_eq!(aabb.grow(&Point2::new(100isize, 100isize)),
        Aabb2::new(Point2::new(-20isize, -10isize), Point2::new(100isize, 100isize)));
    assert_eq!(aabb.grow(&Point2::new(-100isize, -100isize)),
        Aabb2::new(Point2::new(-100isize, -100isize), Point2::new(10isize, 30isize)));

    let aabb = Aabb3::new(Point3::new(-20isize, 30isize, 5isize), Point3::new(10isize, -10isize, -5isize));
    assert_eq!(aabb.min(), &Point3::new(-20isize, -10isize, -5isize));
    assert_eq!(aabb.max(), &Point3::new(10isize, 30isize, 5isize));
    assert_eq!(aabb.dim(), Vector3::new(30isize, 40isize, 10isize));
    assert_eq!(aabb.volume(), 30isize * 40isize * 10isize);
    assert_eq!(aabb.center(), Point3::new(-5isize, 10isize, 0isize));

    assert!(aabb.contains(&Point3::new(0isize, 0isize, 0isize)));
    assert!(!aabb.contains(&Point3::new(-100isize, 0isize, 0isize)));
    assert!(!aabb.contains(&Point3::new(100isize, 0isize, 0isize)));
    assert!(aabb.contains(&Point3::new(9isize, 29isize, -1isize)));
    assert!(!aabb.contains(&Point3::new(10isize, 30isize, 5isize)));
    assert!(aabb.contains(&Point3::new(-20isize, -10isize, -5isize)));
    assert!(!aabb.contains(&Point3::new(-21isize, -11isize, -6isize)));

    assert_eq!(aabb.add_v(&Vector3::new(1isize, 2isize, 3isize)),
        Aabb3::new(Point3::new(-19isize, 32isize, 8isize), Point3::new(11isize, -8isize, -2isize)));

    assert_eq!(aabb.mul_s(2isize),
        Aabb3::new(Point3::new(-40isize, -20isize, -10isize), Point3::new(20isize, 60isize, 10isize)));

    assert_eq!(aabb.mul_v(&Vector3::new(1isize, 2isize, 3isize)),
        Aabb3::new(Point3::new(-20isize, -20isize, -15isize), Point3::new(10isize, 60isize, 15isize)));
}

#[test]
fn test_ray_intersect() {
    let aabb = Aabb2::new(Point2::new(-5.0f32, 5.0), Point2::new(5.0, 10.0));
    let ray1 = Ray::new(Point2::new(0.0f32, 0.0), Vector2::new(0.0, 1.0));
    let ray2 = Ray::new(Point2::new(-10.0f32, 0.0), Vector2::new(2.5, 1.0));
    let ray3 = Ray::new(Point2::new(0.0f32, 0.0), Vector2::new(-1.0, -1.0));
    let ray4 = Ray::new(Point2::new(3.0f32, 7.0), Vector2::new(1.0, 1.0));

    assert_eq!((ray1, aabb).intersection(), Some(Point2::new(0.0, 5.0)));
    assert_eq!((ray2, aabb).intersection(), Some(Point2::new(2.5, 5.0)));
    assert_eq!((ray3, aabb).intersection(), None);
    assert_eq!((ray4, aabb).intersection(), Some(Point2::new(5.0, 9.0)));
}

#[test]
fn test_corners() {
    let corners = Aabb2::new(Point2::new(-5.0f32, 5.0), Point2::new(5.0, 10.0))
                        .to_corners();
    assert!(corners.contains(&Point2::new(-5f32, 10.0)));
    assert!(corners.contains(&Point2::new(5f32, 5.0)));

    let corners = Aabb3::new(Point3::new(-20isize, 30isize, 5isize), Point3::new(10isize, -10isize, -5isize))
                        .to_corners();
    assert!(corners.contains(&Point3::new(-20isize, 30isize, -5isize)));
    assert!(corners.contains(&Point3::new(10isize, 30isize, 5isize)));
    assert!(corners.contains(&Point3::new(10isize, -10isize, 5isize)));
}

#[test]
fn test_bound() {
    let aabb = Aabb3::new(Point3::new(-5.0f32, 5.0, 0.0), Point3::new(5.0, 10.0, 1.0));
    let plane1 = Plane::from_point_normal(Point3::new(0f32, 0.0, 0.0), Vector3::new(0f32, 0.0, 1.0));
    let plane2 = Plane::from_point_normal(Point3::new(-5.0f32, 4.0, 0.0), Vector3::new(0f32, 1.0, 0.0));
    let plane3 = Plane::from_point_normal(Point3::new(6.0f32, 0.0, 0.0), Vector3::new(1f32, 0.0, 0.0));
    assert_eq!(aabb.relate_plane(&plane1), Relation::Cross);
    assert_eq!(aabb.relate_plane(&plane2), Relation::In);
    assert_eq!(aabb.relate_plane(&plane3), Relation::Out);
}