6.11 - Fm 3D WIP

Explanations

#define PROCESSING_COLOR_SHADER

uniform float time;
uniform vec2 resolution;

float rand(vec2 co){
    return fract(sin(dot(co.xy ,vec2(12.9898,78.233))) * 43758.5453);
}

float hermite(float t)
{
  return t * t * (3.0 - 2.0 * t);
}

float dot3(vec3 a, vec3 b)
{
  return a.x * b.x + a.y * b.y + a.z * b.z;
}
float randf(float x){
    return fract(sin(x * 12.9898) * 43758.5453);
}

float rand(vec3 co){
    return fract(sin(dot3(co.xyz ,vec3(12.9898,78.233, 33.87637))) * 43758.5453);
}

float noisef(float x, float frequency)
{
  float v = x * frequency;

  float ix1 = floor(v);
  float ix2 = floor(v + 1.0);

  float fx = hermite(fract(x));

  return mix(randf(ix1), randf(ix2), fx);
}

float noise(vec3 co, float freq)
{
  vec3 v = co * vec3(freq, freq, freq); 
  float ix1 = floor(v.x);
  float iy1 = floor(v.y);
  float iz1 = floor(v.z);
  float ix2 = floor(v.x + 1.0);
  float iy2 = floor(v.y + 1.0);
  float iz2 = floor(v.z + 1.0);

  float fx = hermite(fract(v.x));
  float fy = hermite(fract(v.y));
  float fz = hermite(fract(v.z));

  float mix1 = mix(mix(rand(vec3(ix1, iy1, iz1)), rand(vec3(ix2, iy1, iz1)), fx), mix(rand(vec3(ix1, iy2, iz1)), rand(vec3(ix2, iy2, iz1)), fx), fy);
  float mix2 = mix(mix(rand(vec3(ix1, iy1, iz2)), rand(vec3(ix2, iy1, iz2)), fx), mix(rand(vec3(ix1, iy2, iz2)), rand(vec3(ix2, iy2, iz2)), fx), fy);

  return mix(mix1, mix2, fz);
}


float noise(vec2 co, float frequency)
{
  vec2 v = vec2(co.x * frequency, co.y * frequency);

  float ix1 = floor(v.x);
  float iy1 = floor(v.y);
  float ix2 = floor(v.x + 1.0);
  float iy2 = floor(v.y + 1.0);

  float fx = hermite(fract(v.x));
  float fy = hermite(fract(v.y));

  float fade1 = mix(rand(vec2(ix1, iy1)), rand(vec2(ix2, iy1)), fx);
  float fade2 = mix(rand(vec2(ix1, iy2)), rand(vec2(ix2, iy2)), fx);

  return mix(fade1, fade2, fy);
}

float pnoise(vec2 co, float freq, int steps, float persistence)
{
  float value = 0.0;
  float ampl = 1.0;
  float sum = 0.0;
  for(int i=0 ; i<steps ; i++)
  {
    sum += ampl;
    value += noise(co, freq) * ampl;
    freq *= 2.0;
    ampl *= persistence;
  }
  return value / sum;
}

float fmnoise(vec3 co, float freq)
{
  float y = noise(co, freq);
  return noisef(y * 10.0, 1.0);
}


float pnoise(vec3 co, float freq, int steps, float persistence)
{
  float value = 0.0;
  float ampl = 1.0;
  float sum = 0.0;
  for(int i=0 ; i<steps ; i++)
  {
    sum += ampl;
    value += fmnoise(co, freq) * ampl;
    freq *= 2.0;
    ampl *= persistence;
  }
  return value / sum;
}


void main( void ) {

  vec2 position = gl_FragCoord.xy / resolution.xy;

  float value = pnoise(vec3(position, time * 0.02), 2.0, 2, 1.0);

  gl_FragColor = vec4(value, value, value,1.0);
}

Full Code Source

#define PROCESSING_COLOR_SHADER

uniform float time;
uniform vec2 resolution;

float rand(vec2 co){
    return fract(sin(dot(co.xy ,vec2(12.9898,78.233))) * 43758.5453);
}

float hermite(float t)
{
  return t * t * (3.0 - 2.0 * t);
}

float dot3(vec3 a, vec3 b)
{
  return a.x * b.x + a.y * b.y + a.z * b.z;
}
float randf(float x){
    return fract(sin(x * 12.9898) * 43758.5453);
}

float rand(vec3 co){
    return fract(sin(dot3(co.xyz ,vec3(12.9898,78.233, 33.87637))) * 43758.5453);
}

float noisef(float x, float frequency)
{
  float v = x * frequency;

  float ix1 = floor(v);
  float ix2 = floor(v + 1.0);

  float fx = hermite(fract(x));

  return mix(randf(ix1), randf(ix2), fx);
}

float noise(vec3 co, float freq)
{
  vec3 v = co * vec3(freq, freq, freq); 
  float ix1 = floor(v.x);
  float iy1 = floor(v.y);
  float iz1 = floor(v.z);
  float ix2 = floor(v.x + 1.0);
  float iy2 = floor(v.y + 1.0);
  float iz2 = floor(v.z + 1.0);

  float fx = hermite(fract(v.x));
  float fy = hermite(fract(v.y));
  float fz = hermite(fract(v.z));

  float mix1 = mix(mix(rand(vec3(ix1, iy1, iz1)), rand(vec3(ix2, iy1, iz1)), fx), mix(rand(vec3(ix1, iy2, iz1)), rand(vec3(ix2, iy2, iz1)), fx), fy);
  float mix2 = mix(mix(rand(vec3(ix1, iy1, iz2)), rand(vec3(ix2, iy1, iz2)), fx), mix(rand(vec3(ix1, iy2, iz2)), rand(vec3(ix2, iy2, iz2)), fx), fy);

  return mix(mix1, mix2, fz);
}


float noise(vec2 co, float frequency)
{
  vec2 v = vec2(co.x * frequency, co.y * frequency);

  float ix1 = floor(v.x);
  float iy1 = floor(v.y);
  float ix2 = floor(v.x + 1.0);
  float iy2 = floor(v.y + 1.0);

  float fx = hermite(fract(v.x));
  float fy = hermite(fract(v.y));

  float fade1 = mix(rand(vec2(ix1, iy1)), rand(vec2(ix2, iy1)), fx);
  float fade2 = mix(rand(vec2(ix1, iy2)), rand(vec2(ix2, iy2)), fx);

  return mix(fade1, fade2, fy);
}

float pnoise(vec2 co, float freq, int steps, float persistence)
{
  float value = 0.0;
  float ampl = 1.0;
  float sum = 0.0;
  for(int i=0 ; i<steps ; i++)
  {
    sum += ampl;
    value += noise(co, freq) * ampl;
    freq *= 2.0;
    ampl *= persistence;
  }
  return value / sum;
}

float fmnoise(vec3 co, float freq)
{
  float y = noise(co, freq);
  return noisef(y * 10.0, 1.0);
}


float pnoise(vec3 co, float freq, int steps, float persistence)
{
  float value = 0.0;
  float ampl = 1.0;
  float sum = 0.0;
  for(int i=0 ; i<steps ; i++)
  {
    sum += ampl;
    value += fmnoise(co, freq) * ampl;
    freq *= 2.0;
    ampl *= persistence;
  }
  return value / sum;
}


void main( void ) {

  vec2 position = gl_FragCoord.xy / resolution.xy;

  float value = pnoise(vec3(position, time * 0.02), 2.0, 2, 1.0);

  gl_FragColor = vec4(value, value, value,1.0);
}

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