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-rw-r--r--common/shaders/math/sdf_shapes.wgsl44
1 files changed, 43 insertions, 1 deletions
diff --git a/common/shaders/math/sdf_shapes.wgsl b/common/shaders/math/sdf_shapes.wgsl
index 31bbe2d..64df4fc 100644
--- a/common/shaders/math/sdf_shapes.wgsl
+++ b/common/shaders/math/sdf_shapes.wgsl
@@ -1,14 +1,56 @@
+// 3D SDF primitives
fn sdSphere(p: vec3<f32>, r: f32) -> f32 {
return length(p) - r;
}
+
fn sdBox(p: vec3<f32>, b: vec3<f32>) -> f32 {
let q = abs(p) - b;
return length(max(q, vec3<f32>(0.0))) + min(max(q.x, max(q.y, q.z)), 0.0);
}
+
fn sdTorus(p: vec3<f32>, t: vec2<f32>) -> f32 {
let q = vec2<f32>(length(p.xz) - t.x, p.y);
return length(q) - t.y;
}
+
fn sdPlane(p: vec3<f32>, n: vec3<f32>, h: f32) -> f32 {
- return dot(p, n) + h;
+ return dot(p, n) + h;
+}
+
+// 2D SDF primitives
+fn sdBox2D(p: vec2<f32>, b: vec2<f32>) -> f32 {
+ let d = abs(p) - b;
+ return length(max(d, vec2<f32>(0.0))) + min(max(d.x, d.y), 0.0);
+}
+
+fn sdEllipse(p: vec2<f32>, ab: vec2<f32>) -> f32 {
+ var p_abs = abs(p);
+ if (p_abs.x > p_abs.y) {
+ p_abs = vec2<f32>(p_abs.y, p_abs.x);
+ }
+ let l = ab.y * ab.y - ab.x * ab.x;
+ let m = ab.x * p_abs.x / l;
+ let n = ab.y * p_abs.y / l;
+ let m2 = m * m;
+ let n2 = n * n;
+ let c = (m2 + n2 - 1.0) / 3.0;
+ let c3 = c * c * c;
+ let d = c3 + m2 * n2;
+ let g = m + m * n2;
+ var co: f32;
+ if (d < 0.0) {
+ let h = acos((c3 + m2 * n2 * 2.0) / c3) / 3.0;
+ let s = cos(h);
+ let t = sin(h) * sqrt(3.0);
+ co = (sqrt(-c * (s + t * 2.0) + m2) + sign(l) * sqrt(-c * (s - t * 2.0) + m2) + abs(g) / (sqrt(-c * (s + t * 2.0) + m2) * sqrt(-c * (s - t * 2.0) + m2)) - m) / 2.0;
+ } else {
+ let h = 2.0 * m * n * sqrt(d);
+ let s = sign(c3 + m2 * n2 + h) * pow(abs(c3 + m2 * n2 + h), 1.0 / 3.0);
+ let u = sign(c3 + m2 * n2 - h) * pow(abs(c3 + m2 * n2 - h), 1.0 / 3.0);
+ let rx = -s - u + m2 * 2.0;
+ let ry = (s - u) * sqrt(3.0);
+ co = (ry / sqrt(sqrt(rx * rx + ry * ry) - rx) + 2.0 * g / sqrt(rx * rx + ry * ry) - m) / 2.0;
+ }
+ let si = sqrt(max(0.0, 1.0 - co * co));
+ return length(p_abs - vec2<f32>(ab.x * co, ab.y * si)) * sign(p_abs.y * ab.x * co - p_abs.x * ab.y * si);
}