cgmath/src/sphere.rs
2014-06-23 23:49:29 -07:00

47 lines
1.5 KiB
Rust

// Copyright 2013-2014 The CGMath Developers. For a full listing of the authors,
// refer to the AUTHORS 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.
//! Bounding sphere
use intersect::Intersect;
use num::BaseFloat;
use point::{Point, Point3};
use ray::Ray3;
use vector::Vector;
use std::num::zero;
#[deriving(Clone, PartialEq)]
pub struct Sphere<S> {
pub center: Point3<S>,
pub radius: S,
}
impl<S: BaseFloat> Intersect<Option<Point3<S>>> for (Sphere<S>, Ray3<S>) {
fn intersection(&self) -> Option<Point3<S>> {
match *self {
(ref s, ref r) => {
let l = s.center.sub_p(&r.origin);
let tca = l.dot(&r.direction);
if tca < zero() { return None; }
let d2 = l.dot(&l) - tca*tca;
if d2 > s.radius*s.radius { return None; }
let thc = (s.radius*s.radius - d2).sqrt();
Some(r.origin.add_v(&r.direction.mul_s(tca - thc)))
}
}
}
}