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feat: multibrot exponent up to 20

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surv
2026-09-27 12:23:11 +02:00
parent 1bb3113581
commit 28ff2471b3
8 changed files with 96 additions and 46 deletions
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src/shaders/buddhabrot.wgsl
+1 -1
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@@ -106,7 +106,7 @@ fn advance(z: vec2<f32>, zp: vec2<f32>, c: vec2<f32>) -> vec2<f32> {
} else if KIND == KIND_TRICORN {
return vec2<f32>(z.x * z.x - z.y * z.y, -2.0 * z.x * z.y) + c;
} else if KIND == KIND_MULTIBROT {
return complex_pow(z, clamp(u.power, 2u, 8u)) + c;
return complex_pow(z, clamp(u.power, 2u, MULTIBROT_MAX_POWER)) + c;
} else if KIND == KIND_CELTIC {
return vec2<f32>(abs(z.x * z.x - z.y * z.y), 2.0 * z.x * z.y) + c;
} else if KIND == KIND_PERPENDICULAR {
src/shaders/common.wgsl
+4
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@@ -43,6 +43,10 @@ const KIND_MANDELBROT: u32 = 0u;
const KIND_BURNING_SHIP: u32 = 1u;
const KIND_TRICORN: u32 = 2u;
const KIND_MULTIBROT: u32 = 3u;
// Highest Multibrot power (the UI/CLI/share-link clamp in app.rs matches).
// `bailout_sq` in app.rs shrinks the bailout with the power so z^p stays a
// finite f32.
const MULTIBROT_MAX_POWER: u32 = 20u;
const KIND_CELTIC: u32 = 4u;
const KIND_PERPENDICULAR: u32 = 5u;
const KIND_BUFFALO: u32 = 6u;
src/shaders/mandelbrot.wgsl
+5 -5
View File
@@ -187,7 +187,7 @@ fn advance_delta_kind(kind: u32, z: vec2<f32>, e: vec2<f32>) -> vec2<f32> {
let ce = conj(e);
return 2.0 * cmul(cz, ce) + cmul(ce, ce);
} else if kind == KIND_MULTIBROT {
return multibrot_delta(z, e, clamp(u.power, 2u, 8u));
return multibrot_delta(z, e, clamp(u.power, 2u, MULTIBROT_MAX_POWER));
} else if kind == KIND_CELTIC {
// z^2 delta split: sq.x = delta of Re(z^2), sq.y = delta of Im(z^2).
// Celtic abs the real output, so |Re(z^2)| delta = diffabs(Re(Z^2), sq.x).
@@ -222,7 +222,7 @@ fn advance_delta_kind(kind: u32, z: vec2<f32>, e: vec2<f32>) -> vec2<f32> {
// enough to de-speckle filaments.
fn fprime_kind(kind: u32, z: vec2<f32>) -> vec2<f32> {
if kind == KIND_MULTIBROT {
let p = clamp(u.power, 2u, 8u);
let p = clamp(u.power, 2u, MULTIBROT_MAX_POWER);
var zk = z; // Z^1
for (var k: u32 = 2u; k < p; k = k + 1u) {
zk = cmul(zk, z); // -> Z^{p-1}
@@ -382,7 +382,7 @@ fn advance_delta_scaled_kind(kind: u32, x: vec2<f32>, w: vec2<f32>, sc: f32, se:
let cw = conj(w);
return 2.0 * cmul(cx, cw) + sc * cmul(cw, cw);
} else if kind == KIND_MULTIBROT {
return cmul(w, multibrot_sum(x, x + sc * w, clamp(u.power, 2u, 8u)));
return cmul(w, multibrot_sum(x, x + sc * w, clamp(u.power, 2u, MULTIBROT_MAX_POWER)));
} else if kind == KIND_CELTIC {
let sq = 2.0 * cmul(x, w) + sc * cmul(w, w);
return vec2<f32>(diffabs_scaled(x.x * x.x - x.y * x.y, sq.x, se), sq.y);
@@ -434,7 +434,7 @@ fn deep_step_kind(kind: u32, x: vec2<f32>, xf: Fe, w: vec2<f32>, sc: f32, s: i32
}
var deg = 2;
if kind == KIND_MULTIBROT {
deg = i32(clamp(u.power, 2u, 8u));
deg = i32(clamp(u.power, 2u, MULTIBROT_MAX_POWER));
}
let xk = ldexp2_sat(xf.m, xf.e - ue);
let se = s - ue;
@@ -545,7 +545,7 @@ fn deep_fprime(xf: Fe, w: vec2<f32>, s: i32, yt: vec2<f32>) -> Fe {
return Fe(fprime(vec2<f32>(0.0, 0.0)), 0);
}
if KIND == KIND_MULTIBROT {
let p = clamp(u.power, 2u, 8u);
let p = clamp(u.power, 2u, MULTIBROT_MAX_POWER);
var ym = yf.m; // m^(p-1)
for (var k: u32 = 2u; k < p; k = k + 1u) {
ym = cmul(ym, yf.m);