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worley2D.glsl
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// Permutation polynomial: (34x^2 + x) mod 289
vec3 permute(vec3 x) {
return mod((34.0 * x + 1.0) * x, 289.0);
}
vec3 dist(vec3 x, vec3 y, bool manhattanDistance) {
return manhattanDistance ? abs(x) + abs(y) : (x * x + y * y);
}
vec2 worley(vec2 P, float jitter, bool manhattanDistance) {
float K= 0.142857142857; // 1/7
float Ko= 0.428571428571 ;// 3/7
vec2 Pi = mod(floor(P), 289.0);
vec2 Pf = fract(P);
vec3 oi = vec3(-1.0, 0.0, 1.0);
vec3 of = vec3(-0.5, 0.5, 1.5);
vec3 px = permute(Pi.x + oi);
vec3 p = permute(px.x + Pi.y + oi); // p11, p12, p13
vec3 ox = fract(p*K) - Ko;
vec3 oy = mod(floor(p*K),7.0)*K - Ko;
vec3 dx = Pf.x + 0.5 + jitter*ox;
vec3 dy = Pf.y - of + jitter*oy;
vec3 d1 = dist(dx,dy, manhattanDistance); // d11, d12 and d13, squared
p = permute(px.y + Pi.y + oi); // p21, p22, p23
ox = fract(p*K) - Ko;
oy = mod(floor(p*K),7.0)*K - Ko;
dx = Pf.x - 0.5 + jitter*ox;
dy = Pf.y - of + jitter*oy;
vec3 d2 = dist(dx,dy, manhattanDistance); // d21, d22 and d23, squared
p = permute(px.z + Pi.y + oi); // p31, p32, p33
ox = fract(p*K) - Ko;
oy = mod(floor(p*K),7.0)*K - Ko;
dx = Pf.x - 1.5 + jitter*ox;
dy = Pf.y - of + jitter*oy;
vec3 d3 = dist(dx,dy, manhattanDistance); // d31, d32 and d33, squared
// Sort out the two smallest distances (F1, F2)
vec3 d1a = min(d1, d2);
d2 = max(d1, d2); // Swap to keep candidates for F2
d2 = min(d2, d3); // neither F1 nor F2 are now in d3
d1 = min(d1a, d2); // F1 is now in d1
d2 = max(d1a, d2); // Swap to keep candidates for F2
d1.xy = (d1.x < d1.y) ? d1.xy : d1.yx; // Swap if smaller
d1.xz = (d1.x < d1.z) ? d1.xz : d1.zx; // F1 is in d1.x
d1.yz = min(d1.yz, d2.yz); // F2 is now not in d2.yz
d1.y = min(d1.y, d1.z); // nor in d1.z
d1.y = min(d1.y, d2.x); // F2 is in d1.y, we're done.
return sqrt(d1.xy);
}
#pragma glslify: export(worley)