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Add a `perspective3d` free function on the na:: module.

This commit is contained in:
Sébastien Crozet 2014-01-01 14:44:51 +01:00
parent db831f922e
commit 31904cad6f
2 changed files with 23 additions and 25 deletions
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21
src/na.rs
View File

@ -83,6 +83,27 @@ pub fn one<T: One>() -> T {
//
//
/*
* Perspective
*/
/// Computes a projection matrix given the frustrum near plane width, height, the field of
/// view, and the distance to the clipping planes (`znear` and `zfar`).
pub fn perspective3d<N: Real + Cast<f32> + Zero + One>(width: N, height: N, fov: N, znear: N, zfar: N) -> Mat4<N> {
let aspect = width / height;
let _1: N = one();
let sy = _1 / (fov * cast(0.5)).tan();
let sx = -sy / aspect;
let sz = -(zfar + znear) / (znear - zfar);
let tz = zfar * znear * cast(2.0) / (znear - zfar);
Mat4::new(
sx, zero(), zero(), zero(),
zero(), sy, zero(), zero(),
zero(), zero(), sz, tz,
zero(), zero(), one(), zero())
}
/*
* Translation<V>
*/

27
src/structs/spec/mat.rs
View File

@ -1,9 +1,8 @@
use std::num::{Zero, One};
use structs::vec::{Vec2, Vec3, Vec2MulRhs, Vec3MulRhs};
use structs::mat::{Mat1, Mat2, Mat3, Mat3MulRhs, Mat2MulRhs};
use structs::mat;
use traits::operations::{Inv};
use traits::structure::{Cast, Row, Col};
use traits::operations::Inv;
use traits::structure::{Row, Col};
// some specializations:
impl<N: Num + Clone>
@ -264,25 +263,3 @@ impl<N: Mul<N, N> + Add<N, N>> Mat2MulRhs<N, Vec2<N>> for Vec2<N> {
)
}
}
// FIXME: move this to another file?
impl<N: Real + Cast<f32> + Zero + One> mat::Mat4<N> {
/// Computes a projection matrix given the frustrum near plane width, height, the field of
/// view, and the distance to the clipping planes (`znear` and `zfar`).
pub fn new_perspective(width: N, height: N, fov: N, znear: N, zfar: N) -> mat::Mat4<N> {
let aspect = width / height;
let _1: N = One::one();
let sy = _1 / (fov * Cast::from(0.5)).tan();
let sx = -sy / aspect;
let sz = -(zfar + znear) / (znear - zfar);
let tz = zfar * znear * Cast::from(2.0) / (znear - zfar);
mat::Mat4::new(
sx, Zero::zero(), Zero::zero(), Zero::zero(),
Zero::zero(), sy, Zero::zero(), Zero::zero(),
Zero::zero(), Zero::zero(), sz, tz,
Zero::zero(), Zero::zero(), One::one(), Zero::zero()
)
}
}