voxel-rs/src/math.rs

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2023-05-09 16:31:41 +00:00
/// Linear interpolation.
pub fn lerp(a: f32, b: f32, w: f32) -> f32 {
assert!(0.0 <= w && w <= 1.0);
a + (b - a) * w
}
/// Bilinear interpolation.
/// Expected order of `p` is from a nested `for` loop with the outer loop being `y`.
/// `w` is expected to be `[wx, wy]`
pub fn bi_lerp(p: &[f32], w: &[f32]) -> f32 {
assert_eq!(p.len(), 4);
assert_eq!(w.len(), 2);
lerp(lerp(p[0], p[1], w[0]), lerp(p[2], p[3], w[0]), w[1])
}
/// Trilinear interpolation.
/// Expected order of `p` is from a nested `for` loop with the outer loop being `z`.
/// `w` is expected to be `[wx, wy, wz]`.
pub fn tri_lerp(p: &[f32], w: &[f32]) -> f32 {
assert_eq!(p.len(), 8);
assert_eq!(w.len(), 3);
let front = bi_lerp(&[p[0], p[1], p[2], p[3]], &[w[0], w[1]]);
let back = bi_lerp(&[p[4], p[5], p[6], p[7]], &[w[0], w[1]]);
lerp(front, back, w[2])
}
/// Maps a 3d index to a 1d index
pub fn to_1d_index(p: glam::UVec3, dim: glam::UVec3) -> usize {
(p.x + p.y * dim.x + p.z * dim.x * dim.y) as usize
}