glslNoise.js

let permute = 'vec4 permute(vec4 x){return mod(((x*34.0)+1.0)*x, 289.0);}';

//  Classic Perlin 2D Noise 
//  by Stefan Gustavson
//
let cnoise2 = `
${permute}
vec2 fade(vec2 t) {return t*t*t*(t*(t*6.0-15.0)+10.0);}

float cnoise(vec2 P){
  vec4 Pi = floor(P.xyxy) + vec4(0.0, 0.0, 1.0, 1.0);
  vec4 Pf = fract(P.xyxy) - vec4(0.0, 0.0, 1.0, 1.0);
  Pi = mod(Pi, 289.0); // To avoid truncation effects in permutation
  vec4 ix = Pi.xzxz;
  vec4 iy = Pi.yyww;
  vec4 fx = Pf.xzxz;
  vec4 fy = Pf.yyww;
  vec4 i = permute(permute(ix) + iy);
  vec4 gx = 2.0 * fract(i * 0.0243902439) - 1.0; // 1/41 = 0.024...
  vec4 gy = abs(gx) - 0.5;
  vec4 tx = floor(gx + 0.5);
  gx = gx - tx;
  vec2 g00 = vec2(gx.x,gy.x);
  vec2 g10 = vec2(gx.y,gy.y);
  vec2 g01 = vec2(gx.z,gy.z);
  vec2 g11 = vec2(gx.w,gy.w);
  vec4 norm = 1.79284291400159 - 0.85373472095314 * 
    vec4(dot(g00, g00), dot(g01, g01), dot(g10, g10), dot(g11, g11));
  g00 *= norm.x;
  g01 *= norm.y;
  g10 *= norm.z;
  g11 *= norm.w;
  float n00 = dot(g00, vec2(fx.x, fy.x));
  float n10 = dot(g10, vec2(fx.y, fy.y));
  float n01 = dot(g01, vec2(fx.z, fy.z));
  float n11 = dot(g11, vec2(fx.w, fy.w));
  vec2 fade_xy = fade(Pf.xy);
  vec2 n_x = mix(vec2(n00, n01), vec2(n10, n11), fade_xy.x);
  float n_xy = mix(n_x.x, n_x.y, fade_xy.y);
  return 2.3 * n_xy;
}
`;

//  Classic Perlin 3D Noise 
//  by Stefan Gustavson
//

let cnoise3 = `
${permute}
vec4 taylorInvSqrt(vec4 r){return 1.79284291400159 - 0.85373472095314 * r;}
vec3 fade(vec3 t) {return t*t*t*(t*(t*6.0-15.0)+10.0);}

float cnoise(vec3 P){
  vec3 Pi0 = floor(P); // Integer part for indexing
  vec3 Pi1 = Pi0 + vec3(1.0); // Integer part + 1
  Pi0 = mod(Pi0, 289.0);
  Pi1 = mod(Pi1, 289.0);
  vec3 Pf0 = fract(P); // Fractional part for interpolation
  vec3 Pf1 = Pf0 - vec3(1.0); // Fractional part - 1.0
  vec4 ix = vec4(Pi0.x, Pi1.x, Pi0.x, Pi1.x);
  vec4 iy = vec4(Pi0.yy, Pi1.yy);
  vec4 iz0 = Pi0.zzzz;
  vec4 iz1 = Pi1.zzzz;

  vec4 ixy = permute(permute(ix) + iy);
  vec4 ixy0 = permute(ixy + iz0);
  vec4 ixy1 = permute(ixy + iz1);

  vec4 gx0 = ixy0 / 7.0;
  vec4 gy0 = fract(floor(gx0) / 7.0) - 0.5;
  gx0 = fract(gx0);
  vec4 gz0 = vec4(0.5) - abs(gx0) - abs(gy0);
  vec4 sz0 = step(gz0, vec4(0.0));
  gx0 -= sz0 * (step(0.0, gx0) - 0.5);
  gy0 -= sz0 * (step(0.0, gy0) - 0.5);

  vec4 gx1 = ixy1 / 7.0;
  vec4 gy1 = fract(floor(gx1) / 7.0) - 0.5;
  gx1 = fract(gx1);
  vec4 gz1 = vec4(0.5) - abs(gx1) - abs(gy1);
  vec4 sz1 = step(gz1, vec4(0.0));
  gx1 -= sz1 * (step(0.0, gx1) - 0.5);
  gy1 -= sz1 * (step(0.0, gy1) - 0.5);

  vec3 g000 = vec3(gx0.x,gy0.x,gz0.x);
  vec3 g100 = vec3(gx0.y,gy0.y,gz0.y);
  vec3 g010 = vec3(gx0.z,gy0.z,gz0.z);
  vec3 g110 = vec3(gx0.w,gy0.w,gz0.w);
  vec3 g001 = vec3(gx1.x,gy1.x,gz1.x);
  vec3 g101 = vec3(gx1.y,gy1.y,gz1.y);
  vec3 g011 = vec3(gx1.z,gy1.z,gz1.z);
  vec3 g111 = vec3(gx1.w,gy1.w,gz1.w);

  vec4 norm0 = taylorInvSqrt(vec4(dot(g000, g000), dot(g010, g010), dot(g100, g100), dot(g110, g110)));
  g000 *= norm0.x;
  g010 *= norm0.y;
  g100 *= norm0.z;
  g110 *= norm0.w;
  vec4 norm1 = taylorInvSqrt(vec4(dot(g001, g001), dot(g011, g011), dot(g101, g101), dot(g111, g111)));
  g001 *= norm1.x;
  g011 *= norm1.y;
  g101 *= norm1.z;
  g111 *= norm1.w;

  float n000 = dot(g000, Pf0);
  float n100 = dot(g100, vec3(Pf1.x, Pf0.yz));
  float n010 = dot(g010, vec3(Pf0.x, Pf1.y, Pf0.z));
  float n110 = dot(g110, vec3(Pf1.xy, Pf0.z));
  float n001 = dot(g001, vec3(Pf0.xy, Pf1.z));
  float n101 = dot(g101, vec3(Pf1.x, Pf0.y, Pf1.z));
  float n011 = dot(g011, vec3(Pf0.x, Pf1.yz));
  float n111 = dot(g111, Pf1);

  vec3 fade_xyz = fade(Pf0);
  vec4 n_z = mix(vec4(n000, n100, n010, n110), vec4(n001, n101, n011, n111), fade_xyz.z);
  vec2 n_yz = mix(n_z.xy, n_z.zw, fade_xyz.y);
  float n_xyz = mix(n_yz.x, n_yz.y, fade_xyz.x); 
  return 2.2 * n_xyz;
}`;


let cnoise4 = `
vec4 permute(vec4 x){return mod(((x*34.0)+1.0)*x, 289.0);}
vec4 taylorInvSqrt(vec4 r){return 1.79284291400159 - 0.85373472095314 * r;}
vec4 fade(vec4 t) {return t*t*t*(t*(t*6.0-15.0)+10.0);}

float cnoise(vec4 P){
  vec4 Pi0 = floor(P); // Integer part for indexing
  vec4 Pi1 = Pi0 + 1.0; // Integer part + 1
  Pi0 = mod(Pi0, 289.0);
  Pi1 = mod(Pi1, 289.0);
  vec4 Pf0 = fract(P); // Fractional part for interpolation
  vec4 Pf1 = Pf0 - 1.0; // Fractional part - 1.0
  vec4 ix = vec4(Pi0.x, Pi1.x, Pi0.x, Pi1.x);
  vec4 iy = vec4(Pi0.yy, Pi1.yy);
  vec4 iz0 = vec4(Pi0.zzzz);
  vec4 iz1 = vec4(Pi1.zzzz);
  vec4 iw0 = vec4(Pi0.wwww);
  vec4 iw1 = vec4(Pi1.wwww);

  vec4 ixy = permute(permute(ix) + iy);
  vec4 ixy0 = permute(ixy + iz0);
  vec4 ixy1 = permute(ixy + iz1);
  vec4 ixy00 = permute(ixy0 + iw0);
  vec4 ixy01 = permute(ixy0 + iw1);
  vec4 ixy10 = permute(ixy1 + iw0);
  vec4 ixy11 = permute(ixy1 + iw1);

  vec4 gx00 = ixy00 / 7.0;
  vec4 gy00 = floor(gx00) / 7.0;
  vec4 gz00 = floor(gy00) / 6.0;
  gx00 = fract(gx00) - 0.5;
  gy00 = fract(gy00) - 0.5;
  gz00 = fract(gz00) - 0.5;
  vec4 gw00 = vec4(0.75) - abs(gx00) - abs(gy00) - abs(gz00);
  vec4 sw00 = step(gw00, vec4(0.0));
  gx00 -= sw00 * (step(0.0, gx00) - 0.5);
  gy00 -= sw00 * (step(0.0, gy00) - 0.5);

  vec4 gx01 = ixy01 / 7.0;
  vec4 gy01 = floor(gx01) / 7.0;
  vec4 gz01 = floor(gy01) / 6.0;
  gx01 = fract(gx01) - 0.5;
  gy01 = fract(gy01) - 0.5;
  gz01 = fract(gz01) - 0.5;
  vec4 gw01 = vec4(0.75) - abs(gx01) - abs(gy01) - abs(gz01);
  vec4 sw01 = step(gw01, vec4(0.0));
  gx01 -= sw01 * (step(0.0, gx01) - 0.5);
  gy01 -= sw01 * (step(0.0, gy01) - 0.5);

  vec4 gx10 = ixy10 / 7.0;
  vec4 gy10 = floor(gx10) / 7.0;
  vec4 gz10 = floor(gy10) / 6.0;
  gx10 = fract(gx10) - 0.5;
  gy10 = fract(gy10) - 0.5;
  gz10 = fract(gz10) - 0.5;
  vec4 gw10 = vec4(0.75) - abs(gx10) - abs(gy10) - abs(gz10);
  vec4 sw10 = step(gw10, vec4(0.0));
  gx10 -= sw10 * (step(0.0, gx10) - 0.5);
  gy10 -= sw10 * (step(0.0, gy10) - 0.5);

  vec4 gx11 = ixy11 / 7.0;
  vec4 gy11 = floor(gx11) / 7.0;
  vec4 gz11 = floor(gy11) / 6.0;
  gx11 = fract(gx11) - 0.5;
  gy11 = fract(gy11) - 0.5;
  gz11 = fract(gz11) - 0.5;
  vec4 gw11 = vec4(0.75) - abs(gx11) - abs(gy11) - abs(gz11);
  vec4 sw11 = step(gw11, vec4(0.0));
  gx11 -= sw11 * (step(0.0, gx11) - 0.5);
  gy11 -= sw11 * (step(0.0, gy11) - 0.5);

  vec4 g0000 = vec4(gx00.x,gy00.x,gz00.x,gw00.x);
  vec4 g1000 = vec4(gx00.y,gy00.y,gz00.y,gw00.y);
  vec4 g0100 = vec4(gx00.z,gy00.z,gz00.z,gw00.z);
  vec4 g1100 = vec4(gx00.w,gy00.w,gz00.w,gw00.w);
  vec4 g0010 = vec4(gx10.x,gy10.x,gz10.x,gw10.x);
  vec4 g1010 = vec4(gx10.y,gy10.y,gz10.y,gw10.y);
  vec4 g0110 = vec4(gx10.z,gy10.z,gz10.z,gw10.z);
  vec4 g1110 = vec4(gx10.w,gy10.w,gz10.w,gw10.w);
  vec4 g0001 = vec4(gx01.x,gy01.x,gz01.x,gw01.x);
  vec4 g1001 = vec4(gx01.y,gy01.y,gz01.y,gw01.y);
  vec4 g0101 = vec4(gx01.z,gy01.z,gz01.z,gw01.z);
  vec4 g1101 = vec4(gx01.w,gy01.w,gz01.w,gw01.w);
  vec4 g0011 = vec4(gx11.x,gy11.x,gz11.x,gw11.x);
  vec4 g1011 = vec4(gx11.y,gy11.y,gz11.y,gw11.y);
  vec4 g0111 = vec4(gx11.z,gy11.z,gz11.z,gw11.z);
  vec4 g1111 = vec4(gx11.w,gy11.w,gz11.w,gw11.w);

  vec4 norm00 = taylorInvSqrt(vec4(dot(g0000, g0000), dot(g0100, g0100), dot(g1000, g1000), dot(g1100, g1100)));
  g0000 *= norm00.x;
  g0100 *= norm00.y;
  g1000 *= norm00.z;
  g1100 *= norm00.w;

  vec4 norm01 = taylorInvSqrt(vec4(dot(g0001, g0001), dot(g0101, g0101), dot(g1001, g1001), dot(g1101, g1101)));
  g0001 *= norm01.x;
  g0101 *= norm01.y;
  g1001 *= norm01.z;
  g1101 *= norm01.w;

  vec4 norm10 = taylorInvSqrt(vec4(dot(g0010, g0010), dot(g0110, g0110), dot(g1010, g1010), dot(g1110, g1110)));
  g0010 *= norm10.x;
  g0110 *= norm10.y;
  g1010 *= norm10.z;
  g1110 *= norm10.w;

  vec4 norm11 = taylorInvSqrt(vec4(dot(g0011, g0011), dot(g0111, g0111), dot(g1011, g1011), dot(g1111, g1111)));
  g0011 *= norm11.x;
  g0111 *= norm11.y;
  g1011 *= norm11.z;
  g1111 *= norm11.w;

  float n0000 = dot(g0000, Pf0);
  float n1000 = dot(g1000, vec4(Pf1.x, Pf0.yzw));
  float n0100 = dot(g0100, vec4(Pf0.x, Pf1.y, Pf0.zw));
  float n1100 = dot(g1100, vec4(Pf1.xy, Pf0.zw));
  float n0010 = dot(g0010, vec4(Pf0.xy, Pf1.z, Pf0.w));
  float n1010 = dot(g1010, vec4(Pf1.x, Pf0.y, Pf1.z, Pf0.w));
  float n0110 = dot(g0110, vec4(Pf0.x, Pf1.yz, Pf0.w));
  float n1110 = dot(g1110, vec4(Pf1.xyz, Pf0.w));
  float n0001 = dot(g0001, vec4(Pf0.xyz, Pf1.w));
  float n1001 = dot(g1001, vec4(Pf1.x, Pf0.yz, Pf1.w));
  float n0101 = dot(g0101, vec4(Pf0.x, Pf1.y, Pf0.z, Pf1.w));
  float n1101 = dot(g1101, vec4(Pf1.xy, Pf0.z, Pf1.w));
  float n0011 = dot(g0011, vec4(Pf0.xy, Pf1.zw));
  float n1011 = dot(g1011, vec4(Pf1.x, Pf0.y, Pf1.zw));
  float n0111 = dot(g0111, vec4(Pf0.x, Pf1.yzw));
  float n1111 = dot(g1111, Pf1);

  vec4 fade_xyzw = fade(Pf0);
  vec4 n_0w = mix(vec4(n0000, n1000, n0100, n1100), vec4(n0001, n1001, n0101, n1101), fade_xyzw.w);
  vec4 n_1w = mix(vec4(n0010, n1010, n0110, n1110), vec4(n0011, n1011, n0111, n1111), fade_xyzw.w);
  vec4 n_zw = mix(n_0w, n_1w, fade_xyzw.z);
  vec2 n_yzw = mix(n_zw.xy, n_zw.zw, fade_xyzw.y);
  float n_xyzw = mix(n_yzw.x, n_yzw.y, fade_xyzw.x);
  return 2.2 * n_xyzw;
}`;

let fbm3 = `
  float fbm(vec3 x, int numOctaves) {
  float v = 0.0;
  float a = 0.5;
  vec3 shift = vec3(100);
  for (int i = 0; i < numOctaves; ++i) {
    v += a * cnoise(x);
    x = x * 2.0 + shift;
    a *= 0.5;
  }
  return v;
}
`

let fbm4 = `
  float fbm(vec4 x, int numOctaves) {
    float v = 0.0;
    float a = 0.5;
    vec4 shift = vec4(100);
    for (int i = 0; i < numOctaves; ++i) {
      v += a * cnoise(x);
      x = x * 2.0 + shift;
      a *= 0.5;
    }
    return v;
  }
`

let voronoiNoise2 = `const mat2 myt = mat2(.12121212, .13131313, -.13131313, .12121212);
  const vec2 mys = vec2(1e4, 1e6);

  vec2 rhash(vec2 uv) {
    uv *= myt;
    uv *= mys;
    return fract(fract(uv / mys) * uv);
  }

  vec3 hash(vec3 p) {
    return fract(sin(vec3(dot(p, vec3(1.0, 57.0, 113.0)),
                          dot(p, vec3(57.0, 113.0, 1.0)),
                          dot(p, vec3(113.0, 1.0, 57.0)))) *
                 43758.5453);
  }

  float voronoiNoise(const in vec2 point) {
    vec2 p = floor(point);
    vec2 f = fract(point);
    float res = 0.0;
    for (int j = -1; j <= 1; j++) {
      for (int i = -1; i <= 1; i++) {
        vec2 b = vec2(i, j);
        vec2 r = vec2(b) - f + rhash(p + b);
        res += 1. / pow(dot(r, r), 8.);
      }
    }
    return pow(1. / res, 0.0625);
  }
`;

let voronoiNoise3 = `
  const mat2 myt = mat2(.12121212, .13131313, -.13131313, .12121212);
  const vec2 mys = vec2(1e4, 1e6);

  vec2 rhash(vec2 uv) {
    uv *= myt;
    uv *= mys;
    return fract(fract(uv / mys) * uv);
  }

  vec3 hash(vec3 p) {
    return fract(
        sin(vec3(dot(p, vec3(1.0, 57.0, 113.0)), dot(p, vec3(57.0, 113.0, 1.0)),
                 dot(p, vec3(113.0, 1.0, 57.0)))) *
        43758.5453);
  }

  vec3 voronoiNoise(const in vec3 x) {
    vec3 p = floor(x);
    vec3 f = fract(x);

    float id = 0.0;
    vec2 res = vec2(100.0);
    for (int k = -1; k <= 1; k++) {
      for (int j = -1; j <= 1; j++) {
        for (int i = -1; i <= 1; i++) {
          vec3 b = vec3(float(i), float(j), float(k));
          vec3 r = vec3(b) - f + hash(p + b);
          float d = dot(r, r);

          float cond = max(sign(res.x - d), 0.0);
          float nCond = 1.0 - cond;

          float cond2 = nCond * max(sign(res.y - d), 0.0);
          float nCond2 = 1.0 - cond2;

          id = (dot(p + b, vec3(1.0, 57.0, 113.0)) * cond) + (id * nCond);
          res = vec2(d, res.x) * cond + res * nCond;

          res.y = cond2 * d + nCond2 * res.y;
        }
      }
    }

    return vec3(sqrt(res), abs(id));
  }
`;

let hash12 = `
float hash12(vec2 p)
{
  vec3 p3  = fract(vec3(p.xyx) * .1031);
  p3 += dot(p3, p3.yzx + 33.33);
  return fract((p3.x + p3.y) * p3.z);
}
`;

export {cnoise2, cnoise3, cnoise4, fbm3, fbm4, voronoiNoise2, voronoiNoise3, hash12};