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use crate::algebra::Vector3;
use crate::visitor::{Visit, VisitResult, Visitor};
#[derive(Copy, Clone, Debug)]
pub struct Plane {
pub normal: Vector3<f32>,
pub d: f32,
}
impl Default for Plane {
fn default() -> Self {
Plane {
normal: Vector3::new(0.0, 1.0, 0.0),
d: 0.0,
}
}
}
impl Plane {
#[inline]
pub fn from_normal_and_point(normal: &Vector3<f32>, point: &Vector3<f32>) -> Option<Self> {
normal
.try_normalize(f32::EPSILON)
.map(|normalized_normal| Self {
normal: normalized_normal,
d: -point.dot(&normalized_normal),
})
}
#[inline]
pub fn from_abcd(a: f32, b: f32, c: f32, d: f32) -> Option<Self> {
let normal = Vector3::new(a, b, c);
let len = normal.norm();
if len == 0.0 {
None
} else {
let coeff = 1.0 / len;
Some(Self {
normal: normal.scale(coeff),
d: d * coeff,
})
}
}
#[inline]
pub fn dot(&self, point: &Vector3<f32>) -> f32 {
self.normal.dot(&point) + self.d
}
#[inline]
pub fn distance(&self, point: &Vector3<f32>) -> f32 {
self.dot(point).abs()
}
pub fn intersection_point(&self, b: &Plane, c: &Plane) -> Vector3<f32> {
let f = -1.0 / self.normal.dot(&b.normal.cross(&c.normal));
let v1 = b.normal.cross(&c.normal).scale(self.d);
let v2 = c.normal.cross(&self.normal).scale(b.d);
let v3 = self.normal.cross(&b.normal).scale(c.d);
(v1 + v2 + v3).scale(f)
}
}
impl Visit for Plane {
fn visit(&mut self, name: &str, visitor: &mut Visitor) -> VisitResult {
visitor.enter_region(name)?;
self.normal.visit("Normal", visitor)?;
self.d.visit("D", visitor)?;
visitor.leave_region()
}
}
#[test]
fn plane_sanity_tests() {
let plane =
Plane::from_normal_and_point(&Vector3::new(0.0, 10.0, 0.0), &Vector3::new(0.0, 3.0, 0.0));
assert!(plane.is_some());
let plane = plane.unwrap();
assert_eq!(plane.normal.x, 0.0);
assert_eq!(plane.normal.y, 1.0);
assert_eq!(plane.normal.z, 0.0);
assert_eq!(plane.d, -3.0);
let plane =
Plane::from_normal_and_point(&Vector3::new(0.0, 0.0, 0.0), &Vector3::new(0.0, 0.0, 0.0));
assert!(plane.is_none());
let plane = Plane::from_abcd(0.0, 0.0, 0.0, 0.0);
assert!(plane.is_none())
}