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-rw-r--r--assets/final/shaders/math/noise.wgsl147
1 files changed, 147 insertions, 0 deletions
diff --git a/assets/final/shaders/math/noise.wgsl b/assets/final/shaders/math/noise.wgsl
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+// Random number generation and noise functions for WGSL shaders.
+// Collection of hash functions and noise generators.
+
+// ============================================
+// Hash Functions (Float Input)
+// ============================================
+
+// Hash: f32 -> f32
+// Fast fractional hash for floats
+fn hash_1f(x: f32) -> f32 {
+ var v = fract(x * 0.3351);
+ v *= v + 33.33;
+ v *= v + v;
+ return fract(v);
+}
+
+// Hash: vec2<f32> -> f32
+// 2D coordinate to single hash value
+fn hash_2f(p: vec2<f32>) -> f32 {
+ var h = dot(p, vec2<f32>(127.1, 311.7));
+ return fract(sin(h) * 43758.5453123);
+}
+
+// Hash: vec2<f32> -> vec2<f32>
+// 2D coordinate to 2D hash (from Shadertoy 4djSRW)
+fn hash_2f_2f(p: vec2<f32>) -> vec2<f32> {
+ var p3 = fract(vec3<f32>(p.x, p.y, p.x) * vec3<f32>(0.1021, 0.1013, 0.0977));
+ p3 += dot(p3, p3.yzx + 33.33);
+ return fract((p3.xx + p3.yz) * p3.zy);
+}
+
+// Hash: vec3<f32> -> f32
+// 3D coordinate to single hash value
+fn hash_3f(p: vec3<f32>) -> f32 {
+ var h = dot(p, vec3<f32>(127.1, 311.7, 74.7));
+ return fract(sin(h) * 43758.5453123);
+}
+
+// Hash: vec3<f32> -> vec3<f32>
+// 3D coordinate to 3D hash
+fn hash_3f_3f(p: vec3<f32>) -> vec3<f32> {
+ var v = fract(p);
+ v += dot(v, v.yxz + 32.41);
+ return fract((v.xxy + v.yzz) * v.zyx);
+}
+
+// ============================================
+// Hash Functions (Integer Input)
+// ============================================
+
+// Hash: u32 -> f32
+// Integer hash with bit operations (high quality)
+fn hash_1u(p: u32) -> f32 {
+ var P = (p << 13u) ^ p;
+ P = P * (P * P * 15731u + 789221u) + 1376312589u;
+ return bitcast<f32>((P >> 9u) | 0x3f800000u) - 1.0;
+}
+
+// Hash: u32 -> vec2<f32>
+fn hash_1u_2f(p: u32) -> vec2<f32> {
+ return vec2<f32>(hash_1u(p), hash_1u(p + 1423u));
+}
+
+// Hash: u32 -> vec3<f32>
+fn hash_1u_3f(p: u32) -> vec3<f32> {
+ return vec3<f32>(hash_1u(p), hash_1u(p + 1423u), hash_1u(p + 124453u));
+}
+
+// ============================================
+// Noise Functions
+// ============================================
+
+// Value Noise: 2D
+// Interpolated grid noise using smoothstep
+fn noise_2d(p: vec2<f32>) -> f32 {
+ let i = floor(p);
+ let f = fract(p);
+ let u = f * f * (3.0 - 2.0 * f);
+ let n0 = hash_2f(i + vec2<f32>(0.0, 0.0));
+ let n1 = hash_2f(i + vec2<f32>(1.0, 0.0));
+ let n2 = hash_2f(i + vec2<f32>(0.0, 1.0));
+ let n3 = hash_2f(i + vec2<f32>(1.0, 1.0));
+ let ix0 = mix(n0, n1, u.x);
+ let ix1 = mix(n2, n3, u.x);
+ return mix(ix0, ix1, u.y);
+}
+
+// Value Noise: 3D
+fn noise_3d(p: vec3<f32>) -> f32 {
+ let i = floor(p);
+ let f = fract(p);
+ let u = f * f * (3.0 - 2.0 * f);
+ let n000 = hash_3f(i + vec3<f32>(0.0, 0.0, 0.0));
+ let n100 = hash_3f(i + vec3<f32>(1.0, 0.0, 0.0));
+ let n010 = hash_3f(i + vec3<f32>(0.0, 1.0, 0.0));
+ let n110 = hash_3f(i + vec3<f32>(1.0, 1.0, 0.0));
+ let n001 = hash_3f(i + vec3<f32>(0.0, 0.0, 1.0));
+ let n101 = hash_3f(i + vec3<f32>(1.0, 0.0, 1.0));
+ let n011 = hash_3f(i + vec3<f32>(0.0, 1.0, 1.0));
+ let n111 = hash_3f(i + vec3<f32>(1.0, 1.0, 1.0));
+ let ix00 = mix(n000, n100, u.x);
+ let ix10 = mix(n010, n110, u.x);
+ let ix01 = mix(n001, n101, u.x);
+ let ix11 = mix(n011, n111, u.x);
+ let iy0 = mix(ix00, ix10, u.y);
+ let iy1 = mix(ix01, ix11, u.y);
+ return mix(iy0, iy1, u.z);
+}
+
+// ============================================
+// Special Functions
+// ============================================
+
+// Gyroid function (periodic triply-orthogonal minimal surface)
+// Useful for procedural patterns and cellular structures
+fn gyroid(p: vec3<f32>) -> f32 {
+ return abs(0.04 + dot(sin(p), cos(p.zxy)));
+}
+
+// Fractional Brownian Motion (FBM) 2D
+// Multi-octave noise for natural-looking variation
+fn fbm_2d(p: vec2<f32>, octaves: i32) -> f32 {
+ var value = 0.0;
+ var amplitude = 0.5;
+ var frequency = 1.0;
+ var pos = p;
+ for (var i = 0; i < octaves; i++) {
+ value += amplitude * noise_2d(pos * frequency);
+ frequency *= 2.0;
+ amplitude *= 0.5;
+ }
+ return value;
+}
+
+// Fractional Brownian Motion (FBM) 3D
+fn fbm_3d(p: vec3<f32>, octaves: i32) -> f32 {
+ var value = 0.0;
+ var amplitude = 0.5;
+ var frequency = 1.0;
+ var pos = p;
+ for (var i = 0; i < octaves; i++) {
+ value += amplitude * noise_3d(pos * frequency);
+ frequency *= 2.0;
+ amplitude *= 0.5;
+ }
+ return value;
+}