9_10_norm

Code 9.11, Figure 9.16:

9_10_norm.frag

#version 300 es precision highp float; precision highp int; out vec4 fragColor; uniform float u_time; uniform vec2 u_resolution; //begin rot vec2 rot2(vec2 p, float t){ return vec2(cos(t) * p.x -sin(t) * p.y, sin(t) * p.x + cos(t) * p.y); } vec3 rotX(vec3 p, float t){ return vec3(p.x, rot2(p.yz, t)); } vec3 rotY(vec3 p, float t){ return vec3(p.y, rot2(p.zx, t)).zxy; } vec3 rotZ(vec3 p, float t){ return vec3(rot2(p.xy, t), p.z); } vec3 euler(vec3 p, vec3 t){ return rotZ(rotY(rotX(p, t.x), t.y), t.z); } //end rot float kyoto(vec3 p){ float scale = 1.0; return scale * (abs(p.x) + abs(p.y) + abs(p.z)); } float shogi(vec3 p){ float scale =1.; return scale * max(max(abs(p.x), abs(p.y)), abs(p.z)); } float euc(vec3 p){ float scale = 1.0; return scale * length(p); } float length_(vec3 p){ float time = u_time * 0.2; float v0, v1; if (int(time) % 3 == 0){ v0 = euc(p); v1 = shogi(p); } else if (int(time) % 3 == 1){ v0 = shogi(p); v1 = kyoto(p); } else { v0 = kyoto(p); v1 = euc(p); } return mix(v0, v1, smoothstep(0.25, 0.75, fract(time))); } float length2(vec3 p){ p = abs(p); float d = 4.0 * sin(0.5 * u_time) + 5.0; return pow(pow(p.x, d) + pow(p.y, d) + pow(p.z, d), 1.0 / d); } float sphereSDF(vec3 p){ return length2(p) - 0.5; } float sceneSDF(vec3 p){ return sphereSDF(p); } vec3 gradSDF(vec3 p){ float eps = 0.001; return normalize(vec3( sceneSDF(p + vec3(eps, 0.0, 0.0)) - sceneSDF(p - vec3(eps, 0.0, 0.0)), sceneSDF(p + vec3(0.0, eps, 0.0)) - sceneSDF(p - vec3(0.0, eps, 0.0)), sceneSDF(p + vec3(0.0, 0.0, eps)) - sceneSDF(p - vec3(0.0, 0.0, eps)) )); } void main(){ vec2 p = (gl_FragCoord.xy * 2.0 - u_resolution) / min(u_resolution.x, u_resolution.y); vec3 t = vec3(u_time * 0.3); vec3 cPos = euler(vec3(0.0, 0.0, 2.0), t); vec3 cDir = euler(vec3(0.0, 0.0, - 1.0), t); vec3 cUp = euler(vec3(0.0, 1.0, 0.0), t); vec3 cSide = cross(cDir, cUp); float targetDepth = 1.0; vec3 lDir = euler(vec3(0.0, 0.0, 1.0), t); vec3 ray = cSide * p.x + cUp * p.y + cDir * targetDepth; vec3 rPos = ray + cPos; ray = ray / length2(ray); fragColor.rgb = vec3(0.0); for(int i = 0; i < 50; i ++ ){ if (sceneSDF(rPos) > 0.001){ rPos += sceneSDF(rPos) * ray; } else { float amb = 0.1; float diff = 0.9 * max(dot(normalize(lDir), gradSDF(rPos)), 0.0); vec3 col = vec3(0.0, 1.0, 1.0); fragColor.rgb = col * (diff + amb); break; } } fragColor.a = 1.0; }

#version 300 es
precision highp float;
precision highp int;
out vec4 fragColor;
uniform float u_time;
uniform vec2 u_resolution;

//begin rot
vec2 rot2(vec2 p, float t){
  return vec2(cos(t) * p.x -sin(t) * p.y, sin(t) * p.x + cos(t) * p.y);
}

vec3 rotX(vec3 p, float t){
  return vec3(p.x, rot2(p.yz, t));
}

vec3 rotY(vec3 p, float t){
  return vec3(p.y, rot2(p.zx, t)).zxy;
}

vec3 rotZ(vec3 p, float t){
  return vec3(rot2(p.xy, t), p.z);
}

vec3 euler(vec3 p, vec3 t){
  return rotZ(rotY(rotX(p, t.x), t.y), t.z);
}
//end rot

float kyoto(vec3 p){
  float scale = 1.0;
  return scale * (abs(p.x) + abs(p.y) + abs(p.z));
}

float shogi(vec3 p){
  float scale =1.;
  return scale * max(max(abs(p.x), abs(p.y)), abs(p.z));
}

float euc(vec3 p){
  float scale = 1.0;
  return scale * length(p);
}

float length_(vec3 p){
  float time = u_time * 0.2;
  float v0, v1;
  if (int(time) % 3 == 0){
    v0 = euc(p);
    v1 = shogi(p);
  } else if (int(time) % 3 == 1){
    v0 = shogi(p);
    v1 = kyoto(p);
  } else {
    v0 = kyoto(p);
    v1 = euc(p);
  }
  return mix(v0, v1, smoothstep(0.25, 0.75, fract(time)));
}

float length2(vec3 p){
  p = abs(p);
  float d = 4.0 * sin(0.5 * u_time) + 5.0;
  return pow(pow(p.x, d) + pow(p.y, d) + pow(p.z, d), 1.0 / d);
}

float sphereSDF(vec3 p){
  return length2(p) - 0.5;
}

float sceneSDF(vec3 p){
  return sphereSDF(p);
}

vec3 gradSDF(vec3 p){
  float eps = 0.001;
  return normalize(vec3(
    sceneSDF(p + vec3(eps, 0.0, 0.0)) - sceneSDF(p - vec3(eps, 0.0, 0.0)),
    sceneSDF(p + vec3(0.0, eps, 0.0)) - sceneSDF(p - vec3(0.0, eps, 0.0)),
    sceneSDF(p + vec3(0.0, 0.0, eps)) - sceneSDF(p - vec3(0.0, 0.0, eps))
  ));
}

void main(){
  vec2 p = (gl_FragCoord.xy * 2.0 - u_resolution) / min(u_resolution.x, u_resolution.y);
  
  vec3 t = vec3(u_time * 0.3);
  vec3 cPos = euler(vec3(0.0, 0.0, 2.0), t);
  vec3 cDir = euler(vec3(0.0, 0.0, - 1.0), t);
  vec3 cUp = euler(vec3(0.0, 1.0, 0.0), t);
  vec3 cSide = cross(cDir, cUp);
  
  float targetDepth = 1.0;
  
  vec3 lDir = euler(vec3(0.0, 0.0, 1.0), t);
  
  vec3 ray = cSide * p.x + cUp * p.y + cDir * targetDepth;
  vec3 rPos = ray + cPos;
  ray = ray / length2(ray);
  fragColor.rgb = vec3(0.0);
  for(int i = 0; i < 50; i ++ ){
    if (sceneSDF(rPos) > 0.001){
      rPos += sceneSDF(rPos) * ray;
    } else {
      float amb = 0.1;
      float diff = 0.9 * max(dot(normalize(lDir), gradSDF(rPos)), 0.0);
      vec3 col = vec3(0.0, 1.0, 1.0);
      fragColor.rgb = col * (diff + amb);
      break;
    }
  }
  fragColor.a = 1.0;
}