thebookofshaders/11/tmp/simplex-pattern-03.frag

// Author @patriciogv - 2015 - patriciogonzalezvivo.com

#ifdef GL_OES_standard_derivatives
#extension GL_OES_standard_derivatives: enable
#endif

#ifdef GL_ES
precision mediump float;
#endif

uniform vec2 u_resolution;
uniform vec2 u_mouse;
uniform float u_time;

vec2 skew (vec2 st) {
    vec2 r = vec2(0.0);
    r.x = 1.1547*st.x;
    r.y = st.y+0.5*r.x;
    return r;
}

vec3 simplexGrid (vec2 st) {
    vec3 xyz = vec3(0.0);

    vec2 p = fract(skew(st));
    if (p.x > p.y) {
        xyz.xy = 1.0-vec2(p.x,p.y-p.x);
        xyz.z = p.y;
    } else {
        xyz.yz = 1.0-vec2(p.x-p.y,p.y);
        xyz.x = p.x;
        // xyz.zx = 1.-vec2(p.x-p.y,p.y);
        // xyz.y = p.x;
    }

    return fract(xyz);
}

// Antialiazed Step function
// from http://webstaff.itn.liu.se/~stegu/webglshadertutorial/shadertutorial.html
float aastep(float threshold, float value) {
  #ifdef GL_OES_standard_derivatives
  float afwidth = 0.7 * length(vec2(dFdx(value), dFdy(value)));
  return smoothstep(threshold-afwidth, threshold+afwidth, value);
  #else
  return step(threshold, value);
  #endif
}

vec2 aastep(float threshold, vec2 value) {
    return vec2(aastep(threshold, value.x),
                aastep(threshold, value.y));
}

vec3 aastep(float threshold, vec3 value) {
    return vec3(aastep(threshold, value.x),
                aastep(threshold, value.y),
                aastep(threshold, value.z));
}

float isoGrid(vec2 st, float pct) {
    vec3 S = simplexGrid(st);
    S = aastep(pct-.01,1.-S);
    return S.r + S.g + S.b;
}

vec2 sphereCoords(vec2 _st, float _scale){
    float maxFactor = sin(1.570796327);
    vec2 uv = vec2(0.0);
    vec2 xy = 2.0 * _st.xy - 1.0;
    float d = length(xy);
    if (d < (2.0-maxFactor)){
        d = length(xy * maxFactor);
        float z = sqrt(1.0 - d * d);
        float r = atan(d, z) / 3.1415926535 * _scale;
        float phi = atan(xy.y, xy.x);

        uv.x = r * cos(phi) + 0.5;
        uv.y = r * sin(phi) + 0.5;
    } else {
        uv = _st.xy;
    }
    return uv;
}

//
// Description : Array and textureless GLSL 2D/3D/4D simplex 
//               noise functions.
//      Author : Ian McEwan, Ashima Arts.
//  Maintainer : ijm
//     Lastmod : 20110822 (ijm)
//     License : Copyright (C) 2011 Ashima Arts. All rights reserved.
//               Distributed under the MIT License. See LICENSE file.
//               https://github.com/ashima/webgl-noise
// 
vec3 mod289(vec3 x) { return x - floor(x * (1.0 / 289.0)) * 289.0; }
vec4 mod289(vec4 x) { return x - floor(x * (1.0 / 289.0)) * 289.0; }
vec4 permute(vec4 x) { return mod289(((x*34.0)+1.0)*x); }
vec4 taylorInvSqrt(vec4 r) { return 1.79284291400159 - 0.85373472095314 * r; }

float snoise(vec3 v) { 
    const vec2  C = vec2(1.0/6.0, 1.0/3.0) ;
    const vec4  D = vec4(0.0, 0.5, 1.0, 2.0);

    // First corner
    vec3 i  = floor(v + dot(v, C.yyy) );
    vec3 x0 =   v - i + dot(i, C.xxx) ;

    // Other corners
    vec3 g = step(x0.yzx, x0.xyz);
    vec3 l = 1.0 - g;
    vec3 i1 = min( g.xyz, l.zxy );
    vec3 i2 = max( g.xyz, l.zxy );

    vec3 x1 = x0 - i1 + C.xxx;
    vec3 x2 = x0 - i2 + C.yyy; // 2.0*C.x = 1/3 = C.y
    vec3 x3 = x0 - D.yyy;      // -1.0+3.0*C.x = -0.5 = -D.y

    // Permutations
    i = mod289(i); 
    vec4 p = permute( permute( permute( 
             i.z + vec4(0.0, i1.z, i2.z, 1.0 ))
           + i.y + vec4(0.0, i1.y, i2.y, 1.0 )) 
           + i.x + vec4(0.0, i1.x, i2.x, 1.0 ));

    // Gradients: 7x7 points over a square, mapped onto an octahedron.
    // The ring size 17*17 = 289 is close to a multiple of 49 (49*6 = 294)
    float n_ = 0.142857142857; // 1.0/7.0
    vec3  ns = n_ * D.wyz - D.xzx;

    vec4 j = p - 49.0 * floor(p * ns.z * ns.z);  //  mod(p,7*7)

    vec4 x_ = floor(j * ns.z);
    vec4 y_ = floor(j - 7.0 * x_ );    // mod(j,N)

    vec4 x = x_ *ns.x + ns.yyyy;
    vec4 y = y_ *ns.x + ns.yyyy;
    vec4 h = 1.0 - abs(x) - abs(y);

    vec4 b0 = vec4( x.xy, y.xy );
    vec4 b1 = vec4( x.zw, y.zw );

    vec4 s0 = floor(b0)*2.0 + 1.0;
    vec4 s1 = floor(b1)*2.0 + 1.0;
    vec4 sh = -step(h, vec4(0.0));

    vec4 a0 = b0.xzyw + s0.xzyw*sh.xxyy ;
    vec4 a1 = b1.xzyw + s1.xzyw*sh.zzww ;

    vec3 p0 = vec3(a0.xy,h.x);
    vec3 p1 = vec3(a0.zw,h.y);
    vec3 p2 = vec3(a1.xy,h.z);
    vec3 p3 = vec3(a1.zw,h.w);

    //Normalise gradients
    vec4 norm = taylorInvSqrt(vec4(dot(p0,p0), dot(p1,p1), dot(p2, p2), dot(p3,p3)));
    p0 *= norm.x;
    p1 *= norm.y;
    p2 *= norm.z;
    p3 *= norm.w;

    // Mix final noise value
    vec4 m = max(0.6 - vec4(dot(x0,x0), dot(x1,x1), dot(x2,x2), dot(x3,x3)), 0.0);
    m = m * m;
    return 42.0 * dot( m*m, vec4(dot(p0,x0), dot(p1,x1), 
                                 dot(p2,x2), dot(p3,x3) ) );
}

void main() {
    vec2 st = gl_FragCoord.xy/u_resolution.xy;
    st.x *= u_resolution.x/u_resolution.y;
    vec3 color = vec3(0.0);

    // Blend black the edge of the sphere
    float radius = 1.0-length( vec2(0.5)-st )*2.0;

    // Scale the space to see the grid
    st = sphereCoords(st, 1.0);

    float t = u_time*.5;
    float pct = clamp((snoise(vec3(st*2.,t))*.5+.5)*.8 + abs(sin(dot(st-.5,st-.5)*3.14+t))*.5,0.,1.);
    // color = vec3(pct);

    st *= 1.733*20.;
    color = vec3(1.-isoGrid(st,.1+pct*.9));

    color *= step(0.001,radius);

    gl_FragColor = vec4(color,1.0);
}