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/*{
  "DESCRIPTION": "Superbloom — nested superformula curves glowing as an ornate cosmic flower-mandala, slowly unfurling.",
  "CREDIT": "claude-opus-4-8",
  "INPUTS": [
    { "NAME": "petals", "TYPE": "float", "DEFAULT": 8.0, "MIN": 3.0, "MAX": 16.0 },
    { "NAME": "sharp",  "TYPE": "float", "DEFAULT": 1.6, "MIN": 0.6, "MAX": 3.0 },
    { "NAME": "spin",   "TYPE": "float", "DEFAULT": 0.15, "MIN": 0.0, "MAX": 0.8 },
    { "NAME": "hue",    "TYPE": "float", "DEFAULT": 0.45, "MIN": 0.0, "MAX": 1.0 }
  ]
}*/

float hash(vec2 p){ p = fract(p * vec2(123.34, 456.21)); p += dot(p, p + 45.32); return fract(p.x * p.y); }
vec3 pal(float t){ return 0.5 + 0.5 * cos(6.28318 * (t + vec3(0.0, 0.33, 0.67) + hue)); }

float superR(float theta, float m, float n1, float n2, float n3){
  float t1 = pow(abs(cos(m * theta * 0.25)), n2);
  float t2 = pow(abs(sin(m * theta * 0.25)), n3);
  return pow(t1 + t2 + 1e-4, -1.0 / n1);
}

void main(){
  vec2 uv = (gl_FragCoord.xy - 0.5 * RENDERSIZE) / RENDERSIZE.y;
  float r = length(uv);
  float th = atan(uv.y, uv.x);
  float t = TIME;

  // cosmic starfield
  vec3 col = vec3(0.0);
  float st = hash(floor(gl_FragCoord.xy));
  col += smoothstep(0.992, 1.0, st) * (0.4 + 0.4 * sin(t * 3.0 + st * 40.0)) * vec3(0.8, 0.9, 1.0);

  // a few nested superformula curves -> ornate bloom (inner spiky, outer fuller)
  for (int k = 0; k < 5; k++){
    float fk = float(k);
    float m = petals + 2.0 * fk;                       // more petals further out
    float n1 = 0.45 + 0.28 * fk + 0.2 * sin(t * 0.2 + fk);   // outer curves rounder/fuller
    float scl = 0.14 + 0.115 * fk;
    float rot = t * spin * (1.0 - 0.3 * fk) + fk * 0.4;
    float R = scl * superR(th + rot, m, n1, sharp, sharp);

    float d = abs(r - R);
    float line = smoothstep(0.02, 0.0, d);
    float glow = exp(-d * d / 0.004);
    vec3 c = pal(0.13 * fk + 0.1 * th / 3.14159 + 0.04 * t);
    col += c * (line + glow * 0.5);
  }

  // glowing core
  col += pal(0.1 * t) * exp(-r * r * 60.0) * 0.8;

  col *= 1.0 - 0.3 * dot(uv, uv);
  col = col / (1.0 + 0.6 * col);
  col = pow(max(col, 0.0), vec3(0.85));
  gl_FragColor = vec4(col, 1.0);
}

/*{
  "DESCRIPTION": "Superbloom — nested superformula curves glowing as an ornate cosmic flower-mandala, slowly unfurling.",
  "CREDIT": "claude-opus-4-8",
  "INPUTS": [
    { "NAME": "petals", "TYPE": "float", "DEFAULT": 8.0, "MIN": 3.0, "MAX": 16.0 },
    { "NAME": "sharp",  "TYPE": "float", "DEFAULT": 1.6, "MIN": 0.6, "MAX": 3.0 },
    { "NAME": "spin",   "TYPE": "float", "DEFAULT": 0.15, "MIN": 0.0, "MAX": 0.8 },
    { "NAME": "hue",    "TYPE": "float", "DEFAULT": 0.45, "MIN": 0.0, "MAX": 1.0 }
  ]
}*/

float hash(vec2 p){ p = fract(p * vec2(123.34, 456.21)); p += dot(p, p + 45.32); return fract(p.x * p.y); }
vec3 pal(float t){ return 0.5 + 0.5 * cos(6.28318 * (t + vec3(0.0, 0.33, 0.67) + hue)); }

float superR(float theta, float m, float n1, float n2, float n3){
  float t1 = pow(abs(cos(m * theta * 0.25)), n2);
  float t2 = pow(abs(sin(m * theta * 0.25)), n3);
  return pow(t1 + t2 + 1e-4, -1.0 / n1);
}

void main(){
  vec2 uv = (gl_FragCoord.xy - 0.5 * RENDERSIZE) / RENDERSIZE.y;
  float r = length(uv);
  float th = atan(uv.y, uv.x);
  float t = TIME;

// cosmic starfield
  vec3 col = vec3(0.0);
  float st = hash(floor(gl_FragCoord.xy));
  col += smoothstep(0.992, 1.0, st) * (0.4 + 0.4 * sin(t * 3.0 + st * 40.0)) * vec3(0.8, 0.9, 1.0);

// a few nested superformula curves -> ornate bloom (inner spiky, outer fuller)
  for (int k = 0; k < 5; k++){
    float fk = float(k);
    float m = petals + 2.0 * fk;                       // more petals further out
    float n1 = 0.45 + 0.28 * fk + 0.2 * sin(t * 0.2 + fk);   // outer curves rounder/fuller
    float scl = 0.14 + 0.115 * fk;
    float rot = t * spin * (1.0 - 0.3 * fk) + fk * 0.4;
    float R = scl * superR(th + rot, m, n1, sharp, sharp);

float d = abs(r - R);
    float line = smoothstep(0.02, 0.0, d);
    float glow = exp(-d * d / 0.004);
    vec3 c = pal(0.13 * fk + 0.1 * th / 3.14159 + 0.04 * t);
    col += c * (line + glow * 0.5);
  }

// glowing core
  col += pal(0.1 * t) * exp(-r * r * 60.0) * 0.8;

col *= 1.0 - 0.3 * dot(uv, uv);
  col = col / (1.0 + 0.6 * col);
  col = pow(max(col, 0.0), vec3(0.85));
  gl_FragColor = vec4(col, 1.0);
}

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