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/*{
  "DESCRIPTION": "A tidal reliquary suspended in deep space: a faceted mineral aperture, eight breathing petals, and a tilted choir of orbital filaments. Thin-film color travels by view angle and accumulated depth, so the object stays jewel-bright while its black heart remains a true void.",
  "CREDIT": "Codex",
  "CATEGORIES": ["Raymarch", "Abstract", "Organic", "Generative"],
  "INPUTS": [
    { "NAME": "speed", "TYPE": "float", "DEFAULT": 0.42, "MIN": 0.0, "MAX": 2.0 },
    { "NAME": "bloom", "TYPE": "float", "DEFAULT": 1.18, "MIN": 0.0, "MAX": 2.5 },
    { "NAME": "lattice", "TYPE": "float", "DEFAULT": 0.82, "MIN": 0.2, "MAX": 1.4 },
    { "NAME": "hue", "TYPE": "float", "DEFAULT": 0.56, "MIN": 0.0, "MAX": 1.0 },
    { "NAME": "orbit", "TYPE": "float", "DEFAULT": 0.72, "MIN": 0.0, "MAX": 1.6 }
  ]
}*/

#define PI 3.14159265359
#define TAU 6.28318530718

vec3 rotX(vec3 p, float a){
  float c = cos(a), s = sin(a);
  return vec3(p.x, c * p.y - s * p.z, s * p.y + c * p.z);
}

vec3 rotY(vec3 p, float a){
  float c = cos(a), s = sin(a);
  return vec3(c * p.x + s * p.z, p.y, -s * p.x + c * p.z);
}

vec3 rotZ(vec3 p, float a){
  float c = cos(a), s = sin(a);
  return vec3(c * p.x - s * p.y, s * p.x + c * p.y, p.z);
}

float hash21(vec2 p){
  p = fract(p * vec2(123.34, 456.21));
  p += dot(p, p + 45.32);
  return fract(p.x * p.y);
}

float hash31(vec3 p){
  p = fract(p * 0.1031);
  p += dot(p, p.yzx + 33.33);
  return fract((p.x + p.y) * p.z);
}

vec3 spectral(float x){
  return 0.5 + 0.5 * cos(TAU * (x + hue + vec3(0.0, 0.325, 0.66)));
}

vec2 opUnion(vec2 a, vec2 b){
  return a.x < b.x ? a : b;
}

float sdTorus(vec3 p, vec2 t){
  vec2 q = vec2(length(p.xz) - t.x, p.y);
  return length(q) - t.y;
}

float sdCapsule(vec3 p, vec3 a, vec3 b, float r){
  vec3 ab = b - a;
  float h = clamp(dot(p - a, ab) / dot(ab, ab), 0.0, 1.0);
  return length(p - mix(a, b, h)) - r;
}

float sdEllipsoid(vec3 p, vec3 r){
  return (length(p / r) - 1.0) * min(min(r.x, r.y), r.z);
}

float sdOctahedron(vec3 p, float s){
  p = abs(p);
  return (p.x + p.y + p.z - s) * 0.57735027;
}

vec3 reliquaryDomain(vec3 p, float tm){
  p = rotY(p, tm * 0.23 * orbit);
  p = rotX(p, 0.32 + 0.11 * sin(tm * 0.31 * orbit));
  p = rotZ(p, -0.18 + tm * 0.13 * orbit);
  return p;
}

vec2 sceneMap(vec3 p, float tm){
  vec3 q = reliquaryDomain(p, tm);
  vec2 result = vec2(100.0, 0.0);

  float radius = length(q);
  float azimuth = atan(q.z, q.x);
  float facet = 0.052 * cos(8.0 * azimuth + 2.0 * q.y + tm * 0.18);
  facet += 0.025 * cos(13.0 * azimuth - q.y * 11.0 - tm * 0.11);
  float lobe = 0.042 * pow(0.5 + 0.5 * cos(8.0 * azimuth + tm * 0.15), 3.0);
  float shellRadius = 0.765 + lobe + facet * (0.62 + 0.38 * lattice);
  float shell = abs(radius - shellRadius) - 0.020;
  // Subtract a slightly breathing cylinder from the membrane.  This opens
  // the front of the reliquary onto the dark core instead of letting the
  // shell become a featureless sphere in the middle of the frame.
  float apertureRadius = 0.285 + 0.025 * sin(q.y * 5.0 + tm * 0.4);
  float aperture = length(q.xy) - apertureRadius;
  shell = max(shell, -aperture);
  result = opUnion(result, vec2(shell, 1.0));

  // A small dark body gives the object a readable aperture instead of a
  // frame-filling tangle of additive lines.
  result = opUnion(result, vec2(radius - 0.225, 2.0));
  result = opUnion(result, vec2(sdTorus(q, vec2(0.335, 0.018)), 3.0));

  // A ring of small tide-beads makes the aperture feel engineered rather
  // than merely subtracted from the shell.
  for (int i = 0; i < 8; i++){
    float fi = float(i);
    float beadAngle = fi * TAU / 8.0 + tm * 0.08;
    vec3 beadCenter = vec3(cos(beadAngle) * 0.305,
                           sin(beadAngle) * 0.305,
                           0.0);
    float bead = length(q - beadCenter) - (0.020 + 0.004 * lattice);
    result = opUnion(result, vec2(bead, 8.0));
  }

  // Eight soft mineral petals, each with its own breathing tilt.
  for (int i = 0; i < 8; i++){
    float fi = float(i);
    float a = fi * TAU / 8.0 + 0.12 * sin(tm * 0.5 + fi * 1.7);
    vec3 c = vec3(cos(a) * 0.70,
                  0.075 * sin(a * 2.0 + tm * 0.33),
                  sin(a) * 0.70);
    vec3 pp = rotY(q - c, a);
    pp = rotZ(pp, 0.16 * sin(tm * 0.43 + fi * 1.2));
    float petal = sdEllipsoid(pp, vec3(0.34, 0.13, 0.075));
    result = opUnion(result, vec2(petal, 4.0));
  }

  // A six-spoke internal skeleton anchors the petals to the aperture.
  for (int i = 0; i < 6; i++){
    float fi = float(i);
    float a = fi * TAU / 6.0 + 0.08 * sin(tm * 0.29 + fi);
    vec3 a0 = vec3(cos(a) * 0.24, 0.0, sin(a) * 0.24);
    vec3 b0 = vec3(cos(a) * 0.93,
                   0.045 * sin(fi * 2.4 + tm * 0.4),
                   sin(a) * 0.93);
    float spoke = sdCapsule(q, a0, b0, 0.010 + 0.004 * lattice);
    result = opUnion(result, vec2(spoke, 5.0));
  }

  // The tilted rings are deliberately not coplanar: their intersections are
  // the bright, impossible-looking knots around the shell.
  for (int i = 0; i < 5; i++){
    float fi = float(i);
    vec3 rp = rotX(q, 0.24 + fi * 0.48 + 0.09 * sin(tm * 0.21 + fi));
    rp = rotZ(rp, fi * 0.91 + 0.11 * cos(tm * 0.17 + fi * 1.9));
    float major = 0.88 + 0.045 * sin(fi * 1.73 + tm * 0.20);
    float minor = 0.012 + 0.006 * lattice;
    result = opUnion(result, vec2(sdTorus(rp, vec2(major, minor)), 6.0));
  }

  // Six floating diamond nodes punctuate the outside of the flower.
  for (int i = 0; i < 6; i++){
    float fi = float(i);
    float a = fi * TAU / 6.0 + 0.15 * tm * orbit;
    vec3 c = vec3(cos(a) * 0.93,
                  0.16 * sin(a * 1.5 + tm * 0.2),
                  sin(a) * 0.93);
    vec3 cp = rotY(q - c, a);
    cp = rotZ(cp, 0.25 + 0.12 * sin(fi + tm * 0.27));
    float crystal = sdOctahedron(cp, 0.155 + 0.025 * sin(fi * 2.2 + tm * 0.4));
    result = opUnion(result, vec2(crystal, 7.0));
  }

  return result;
}

vec3 sceneNormal(vec3 p, float tm){
  float e = 0.0018;
  vec2 k = vec2(1.0, -1.0);
  return normalize(
    k.xyy * sceneMap(p + k.xyy * e, tm).x +
    k.yyx * sceneMap(p + k.yyx * e, tm).x +
    k.yxy * sceneMap(p + k.yxy * e, tm).x +
    k.xxx * sceneMap(p + k.xxx * e, tm).x
  );
}

float orbitalLines(vec3 p, float tm){
  vec3 q = reliquaryDomain(p, tm);
  float r = length(q);
  float g = 0.0;

  for (int i = 0; i < 4; i++){
    float fi = float(i);
    vec3 rp = rotX(q, 0.33 + fi * 0.68 + tm * (0.035 + fi * 0.009));
    rp = rotZ(rp, fi * 1.21 - tm * 0.025);
    float ring = abs(sdTorus(rp, vec2(0.88 + 0.045 * fi, 0.016)));
    g += exp(-ring * 76.0) * (0.55 + 0.12 * sin(fi + tm));
  }

  float azimuth = atan(q.z, q.x);
  float weave = abs(sin(azimuth * 6.0 + q.y * 10.0 + tm * 0.47));
  float weaveLine = exp(-weave * 18.0) * exp(-abs(r - 0.72) * 17.0);
  g += weaveLine * 0.9 * lattice;

  float shellLine = exp(-abs(r - (0.765 + 0.035 * sin(azimuth * 8.0 + q.y * 2.0))) * 38.0);
  g += shellLine * 0.38;
  return g;
}

vec3 background(vec2 uv, vec3 rd, float tm){
  vec3 col = vec3(0.0015, 0.003, 0.012);
  float horizon = exp(-3.0 * abs(uv.y + 0.06));
  col += vec3(0.006, 0.014, 0.042) * horizon;

  vec2 starUv = rd.xy / max(abs(rd.z), 0.22) * 38.0;
  vec2 cell = floor(starUv);
  vec2 local = fract(starUv) - 0.5;
  float seed = hash21(cell);
  float star = (1.0 - smoothstep(0.0, 0.065, length(local))) * step(0.985, seed);
  float pulse = 0.72 + 0.28 * sin(tm * 1.4 + seed * 80.0);
  col += spectral(0.18 + seed * 0.23) * star * pulse * 0.33;

  vec2 cell2 = floor(starUv * 0.47 + vec2(17.0, -8.0));
  vec2 local2 = fract(starUv * 0.47 + vec2(17.0, -8.0)) - 0.5;
  float seed2 = hash21(cell2 + 4.7);
  float star2 = (1.0 - smoothstep(0.0, 0.04, length(local2))) * step(0.993, seed2);
  col += vec3(0.18, 0.30, 0.70) * star2 * 0.42;

  float dust = 0.5 + 0.5 * sin(uv.x * 4.0 + sin(uv.y * 7.0) + tm * 0.08);
  dust *= 0.5 + 0.5 * sin(uv.y * 13.0 - uv.x * 2.0);
  col += vec3(0.015, 0.004, 0.026) * dust * exp(-2.2 * dot(uv, uv));
  return col;
}

vec3 shadeReliquary(vec3 p, vec3 rd, vec2 material, float tm){
  vec3 q = reliquaryDomain(p, tm);
  vec3 n = sceneNormal(p, tm);
  float view = clamp(dot(-rd, n), 0.0, 1.0);
  float rim = pow(1.0 - view, 3.0);
  vec3 keyDir = normalize(vec3(-0.48, 0.77, 0.42));
  vec3 fillDir = normalize(vec3(0.62, -0.20, -0.74));
  float key = max(dot(n, keyDir), 0.0);
  float fill = max(dot(n, fillDir), 0.0);
  float glint = pow(max(dot(reflect(rd, n), keyDir), 0.0), 24.0);

  float grain = 0.5 + 0.5 * sin(dot(q, vec3(8.2, 13.7, 5.1)) +
                                 sin(q.x * 7.0 + q.z * 4.0) * 1.8);
  float depthPhase = length(p) * 0.42 + dot(n, vec3(0.2, 0.6, 0.3)) * 0.35;
  vec3 film = spectral(depthPhase + grain * 0.16 + tm * 0.018);
  vec3 deep = vec3(0.006, 0.008, 0.030);
  vec3 col = deep;

  if (material.y < 1.5){
    float grooves = 0.5 + 0.5 * cos(8.0 * atan(q.z, q.x) + q.y * 2.0 + tm * 0.18);
    vec3 mineral = mix(vec3(0.012, 0.014, 0.042), vec3(0.055, 0.012, 0.088), grain);
    mineral *= 0.65 + 0.35 * grooves;
    col = mineral * (0.14 + 1.42 * key + 0.36 * fill);
    col += film * (0.045 + 0.24 * key + 0.14 * rim);
    col += rim * vec3(0.08, 0.25, 0.56);
    col += glint * vec3(0.85, 0.63, 0.30);
    // Two projected mode families make a restrained mineral crack network.
    // It is keyed from position, not brightness, so the thin lines retain
    // color while the body remains dark enough to frame the aperture.
    float chladniA = sin(q.x * 7.0 + tm * 0.12) * sin(q.y * 11.0)
                   - sin(q.y * 7.0) * sin(q.x * 11.0 + tm * 0.08);
    float chladniB = sin(q.z * 9.0 - tm * 0.10) * sin(q.y * 5.0)
                   - sin(q.y * 9.0) * sin(q.z * 5.0 + tm * 0.11);
    float fracture = 0.5 * chladniA + 0.5 * chladniB;
    float vein = 1.0 - smoothstep(0.012, 0.060, abs(fracture));
    col *= 1.0 - vein * 0.28;
    col += spectral(0.72 + q.y * 0.28 + tm * 0.03) * vein * (0.24 + 0.34 * key);
    float fineA = sin(q.x * 16.0 - q.z * 3.0 + tm * 0.18) * sin(q.y * 13.0)
                - sin(q.y * 16.0 + tm * 0.09) * sin(q.x * 3.0 + q.z * 13.0);
    float fineVein = 1.0 - smoothstep(0.010, 0.034, abs(fineA));
    col += spectral(0.48 + q.x * 0.22 - q.z * 0.16 + tm * 0.02) * fineVein * 0.15;
  } else if (material.y < 2.5){
    // The black heart only answers at its edge; the center is allowed to
    // remain black so the eye has somewhere to rest.
    col = vec3(0.00025, 0.00045, 0.002) * (0.3 + key);
    col += rim * spectral(0.52 + tm * 0.03) * 0.18;
    col += glint * vec3(0.22, 0.38, 0.72) * 0.42;
  } else if (material.y < 3.5){
    col = film * (0.24 + 1.24 * key) + rim * vec3(0.25, 0.64, 1.0);
    col += glint * vec3(1.0, 0.84, 0.48) * 1.4;
  } else if (material.y < 4.5){
    float petalPhase = atan(q.z, q.x) / TAU + q.y * 0.28 + grain * 0.12;
    vec3 petalFilm = spectral(petalPhase + tm * 0.025);
    col = petalFilm * (0.18 + 1.35 * key + 0.26 * fill);
    col += rim * vec3(0.10, 0.45, 0.92) + glint * vec3(0.94, 0.50, 0.25);
  } else if (material.y < 5.5){
    col = spectral(0.17 + q.y * 0.5 + tm * 0.04) * (0.55 + 1.45 * key);
    col += vec3(0.34, 0.76, 1.0) * rim * 0.8;
  } else if (material.y < 6.5){
    col = spectral(0.63 + q.y * 0.4 + tm * 0.035) * (0.38 + 1.5 * key);
    col += vec3(0.16, 0.58, 1.0) * rim * 0.65;
    col += glint * vec3(1.0, 0.58, 0.18) * 1.2;
  } else if (material.y < 8.5){
    float beadPhase = atan(q.y, q.x) / TAU + tm * 0.03;
    col = spectral(0.18 + beadPhase) * (0.60 + 1.45 * key);
    col += rim * vec3(0.36, 0.82, 1.0) + glint * vec3(1.0, 0.70, 0.24) * 1.5;
  } else {
    col = spectral(0.08 + grain * 0.2 + tm * 0.03) * (0.28 + 1.28 * key);
    col += vec3(0.24, 0.53, 1.0) * rim + glint * vec3(1.0, 0.70, 0.28);
  }

  return col;
}

void main(){
  vec2 uv = (gl_FragCoord.xy - 0.5 * RENDERSIZE.xy) / RENDERSIZE.y;
  float tm = TIME * speed;
  vec3 ro = vec3(0.0, 0.015 * sin(tm * 0.31), 4.18);
  vec3 rd = normalize(vec3(uv.x, uv.y, -1.72));

  vec3 col = background(uv, rd, tm);
  vec3 glow = vec3(0.0);
  float t = 0.0;
  float hit = -1.0;
  vec2 hitMaterial = vec2(0.0);

  for (int i = 0; i < 112; i++){
    vec3 p = ro + rd * t;
    vec2 field = sceneMap(p, tm);
    float safeD = max(field.x, 0.0);
    float stepSize = min(max(field.x * 0.56, 0.005), 0.13);
    float line = orbitalLines(p, tm);
    float core = exp(-length(reliquaryDomain(p, tm)) * 6.5);
    float travelFade = exp(-0.16 * t);
    vec3 lineColor = spectral(0.14 + t * 0.06 + tm * 0.018);
    glow += lineColor * line * stepSize * 0.038 * bloom * travelFade;
    glow += vec3(0.12, 0.34, 0.95) * core * stepSize * 0.012 * bloom * travelFade;

    if (field.x < 0.0007 + 0.00012 * t){
      hit = t;
      hitMaterial = field;
      break;
    }
    t += stepSize;
    if (t > 7.0) break;
  }

  if (hit > 0.0){
    vec3 p = ro + rd * hit;
    vec3 surface = shadeReliquary(p, rd, hitMaterial, tm);
    float depthFog = exp(-0.075 * hit);
    col = mix(col, surface, depthFog);
    col += glow * 0.72;
  } else {
    col += glow * 0.58;
  }

  float apertureHalo = exp(-length(uv) * 5.6) * exp(-abs(length(uv) - 0.28) * 9.0);
  col += spectral(0.48 + tm * 0.02) * apertureHalo * 0.018 * bloom;
  col *= 1.0 - 0.32 * smoothstep(0.45, 1.25, length(uv));

  // Filmic compression preserves the tiny stars and the hot ring crossings.
  col = 1.0 - exp(-max(col, 0.0) * 1.28);
  col = pow(max(col, 0.0), vec3(0.4545));
  gl_FragColor = vec4(col, 1.0);
}

/*{
  "DESCRIPTION": "A tidal reliquary suspended in deep space: a faceted mineral aperture, eight breathing petals, and a tilted choir of orbital filaments. Thin-film color travels by view angle and accumulated depth, so the object stays jewel-bright while its black heart remains a true void.",
  "CREDIT": "Codex",
  "CATEGORIES": ["Raymarch", "Abstract", "Organic", "Generative"],
  "INPUTS": [
    { "NAME": "speed", "TYPE": "float", "DEFAULT": 0.42, "MIN": 0.0, "MAX": 2.0 },
    { "NAME": "bloom", "TYPE": "float", "DEFAULT": 1.18, "MIN": 0.0, "MAX": 2.5 },
    { "NAME": "lattice", "TYPE": "float", "DEFAULT": 0.82, "MIN": 0.2, "MAX": 1.4 },
    { "NAME": "hue", "TYPE": "float", "DEFAULT": 0.56, "MIN": 0.0, "MAX": 1.0 },
    { "NAME": "orbit", "TYPE": "float", "DEFAULT": 0.72, "MIN": 0.0, "MAX": 1.6 }
  ]
}*/

#define PI 3.14159265359
#define TAU 6.28318530718

vec3 rotX(vec3 p, float a){
  float c = cos(a), s = sin(a);
  return vec3(p.x, c * p.y - s * p.z, s * p.y + c * p.z);
}

vec3 rotY(vec3 p, float a){
  float c = cos(a), s = sin(a);
  return vec3(c * p.x + s * p.z, p.y, -s * p.x + c * p.z);
}

vec3 rotZ(vec3 p, float a){
  float c = cos(a), s = sin(a);
  return vec3(c * p.x - s * p.y, s * p.x + c * p.y, p.z);
}

float hash21(vec2 p){
  p = fract(p * vec2(123.34, 456.21));
  p += dot(p, p + 45.32);
  return fract(p.x * p.y);
}

float hash31(vec3 p){
  p = fract(p * 0.1031);
  p += dot(p, p.yzx + 33.33);
  return fract((p.x + p.y) * p.z);
}

vec3 spectral(float x){
  return 0.5 + 0.5 * cos(TAU * (x + hue + vec3(0.0, 0.325, 0.66)));
}

vec2 opUnion(vec2 a, vec2 b){
  return a.x < b.x ? a : b;
}

float sdTorus(vec3 p, vec2 t){
  vec2 q = vec2(length(p.xz) - t.x, p.y);
  return length(q) - t.y;
}

float sdCapsule(vec3 p, vec3 a, vec3 b, float r){
  vec3 ab = b - a;
  float h = clamp(dot(p - a, ab) / dot(ab, ab), 0.0, 1.0);
  return length(p - mix(a, b, h)) - r;
}

float sdEllipsoid(vec3 p, vec3 r){
  return (length(p / r) - 1.0) * min(min(r.x, r.y), r.z);
}

float sdOctahedron(vec3 p, float s){
  p = abs(p);
  return (p.x + p.y + p.z - s) * 0.57735027;
}

vec3 reliquaryDomain(vec3 p, float tm){
  p = rotY(p, tm * 0.23 * orbit);
  p = rotX(p, 0.32 + 0.11 * sin(tm * 0.31 * orbit));
  p = rotZ(p, -0.18 + tm * 0.13 * orbit);
  return p;
}

vec2 sceneMap(vec3 p, float tm){
  vec3 q = reliquaryDomain(p, tm);
  vec2 result = vec2(100.0, 0.0);

float radius = length(q);
  float azimuth = atan(q.z, q.x);
  float facet = 0.052 * cos(8.0 * azimuth + 2.0 * q.y + tm * 0.18);
  facet += 0.025 * cos(13.0 * azimuth - q.y * 11.0 - tm * 0.11);
  float lobe = 0.042 * pow(0.5 + 0.5 * cos(8.0 * azimuth + tm * 0.15), 3.0);
  float shellRadius = 0.765 + lobe + facet * (0.62 + 0.38 * lattice);
  float shell = abs(radius - shellRadius) - 0.020;
  // Subtract a slightly breathing cylinder from the membrane.  This opens
  // the front of the reliquary onto the dark core instead of letting the
  // shell become a featureless sphere in the middle of the frame.
  float apertureRadius = 0.285 + 0.025 * sin(q.y * 5.0 + tm * 0.4);
  float aperture = length(q.xy) - apertureRadius;
  shell = max(shell, -aperture);
  result = opUnion(result, vec2(shell, 1.0));

// A small dark body gives the object a readable aperture instead of a
  // frame-filling tangle of additive lines.
  result = opUnion(result, vec2(radius - 0.225, 2.0));
  result = opUnion(result, vec2(sdTorus(q, vec2(0.335, 0.018)), 3.0));

// A ring of small tide-beads makes the aperture feel engineered rather
  // than merely subtracted from the shell.
  for (int i = 0; i < 8; i++){
    float fi = float(i);
    float beadAngle = fi * TAU / 8.0 + tm * 0.08;
    vec3 beadCenter = vec3(cos(beadAngle) * 0.305,
                           sin(beadAngle) * 0.305,
                           0.0);
    float bead = length(q - beadCenter) - (0.020 + 0.004 * lattice);
    result = opUnion(result, vec2(bead, 8.0));
  }

// Eight soft mineral petals, each with its own breathing tilt.
  for (int i = 0; i < 8; i++){
    float fi = float(i);
    float a = fi * TAU / 8.0 + 0.12 * sin(tm * 0.5 + fi * 1.7);
    vec3 c = vec3(cos(a) * 0.70,
                  0.075 * sin(a * 2.0 + tm * 0.33),
                  sin(a) * 0.70);
    vec3 pp = rotY(q - c, a);
    pp = rotZ(pp, 0.16 * sin(tm * 0.43 + fi * 1.2));
    float petal = sdEllipsoid(pp, vec3(0.34, 0.13, 0.075));
    result = opUnion(result, vec2(petal, 4.0));
  }

// A six-spoke internal skeleton anchors the petals to the aperture.
  for (int i = 0; i < 6; i++){
    float fi = float(i);
    float a = fi * TAU / 6.0 + 0.08 * sin(tm * 0.29 + fi);
    vec3 a0 = vec3(cos(a) * 0.24, 0.0, sin(a) * 0.24);
    vec3 b0 = vec3(cos(a) * 0.93,
                   0.045 * sin(fi * 2.4 + tm * 0.4),
                   sin(a) * 0.93);
    float spoke = sdCapsule(q, a0, b0, 0.010 + 0.004 * lattice);
    result = opUnion(result, vec2(spoke, 5.0));
  }

// The tilted rings are deliberately not coplanar: their intersections are
  // the bright, impossible-looking knots around the shell.
  for (int i = 0; i < 5; i++){
    float fi = float(i);
    vec3 rp = rotX(q, 0.24 + fi * 0.48 + 0.09 * sin(tm * 0.21 + fi));
    rp = rotZ(rp, fi * 0.91 + 0.11 * cos(tm * 0.17 + fi * 1.9));
    float major = 0.88 + 0.045 * sin(fi * 1.73 + tm * 0.20);
    float minor = 0.012 + 0.006 * lattice;
    result = opUnion(result, vec2(sdTorus(rp, vec2(major, minor)), 6.0));
  }

// Six floating diamond nodes punctuate the outside of the flower.
  for (int i = 0; i < 6; i++){
    float fi = float(i);
    float a = fi * TAU / 6.0 + 0.15 * tm * orbit;
    vec3 c = vec3(cos(a) * 0.93,
                  0.16 * sin(a * 1.5 + tm * 0.2),
                  sin(a) * 0.93);
    vec3 cp = rotY(q - c, a);
    cp = rotZ(cp, 0.25 + 0.12 * sin(fi + tm * 0.27));
    float crystal = sdOctahedron(cp, 0.155 + 0.025 * sin(fi * 2.2 + tm * 0.4));
    result = opUnion(result, vec2(crystal, 7.0));
  }

return result;
}

vec3 sceneNormal(vec3 p, float tm){
  float e = 0.0018;
  vec2 k = vec2(1.0, -1.0);
  return normalize(
    k.xyy * sceneMap(p + k.xyy * e, tm).x +
    k.yyx * sceneMap(p + k.yyx * e, tm).x +
    k.yxy * sceneMap(p + k.yxy * e, tm).x +
    k.xxx * sceneMap(p + k.xxx * e, tm).x
  );
}

float orbitalLines(vec3 p, float tm){
  vec3 q = reliquaryDomain(p, tm);
  float r = length(q);
  float g = 0.0;

for (int i = 0; i < 4; i++){
    float fi = float(i);
    vec3 rp = rotX(q, 0.33 + fi * 0.68 + tm * (0.035 + fi * 0.009));
    rp = rotZ(rp, fi * 1.21 - tm * 0.025);
    float ring = abs(sdTorus(rp, vec2(0.88 + 0.045 * fi, 0.016)));
    g += exp(-ring * 76.0) * (0.55 + 0.12 * sin(fi + tm));
  }

float azimuth = atan(q.z, q.x);
  float weave = abs(sin(azimuth * 6.0 + q.y * 10.0 + tm * 0.47));
  float weaveLine = exp(-weave * 18.0) * exp(-abs(r - 0.72) * 17.0);
  g += weaveLine * 0.9 * lattice;

float shellLine = exp(-abs(r - (0.765 + 0.035 * sin(azimuth * 8.0 + q.y * 2.0))) * 38.0);
  g += shellLine * 0.38;
  return g;
}

vec3 background(vec2 uv, vec3 rd, float tm){
  vec3 col = vec3(0.0015, 0.003, 0.012);
  float horizon = exp(-3.0 * abs(uv.y + 0.06));
  col += vec3(0.006, 0.014, 0.042) * horizon;

vec2 starUv = rd.xy / max(abs(rd.z), 0.22) * 38.0;
  vec2 cell = floor(starUv);
  vec2 local = fract(starUv) - 0.5;
  float seed = hash21(cell);
  float star = (1.0 - smoothstep(0.0, 0.065, length(local))) * step(0.985, seed);
  float pulse = 0.72 + 0.28 * sin(tm * 1.4 + seed * 80.0);
  col += spectral(0.18 + seed * 0.23) * star * pulse * 0.33;

vec2 cell2 = floor(starUv * 0.47 + vec2(17.0, -8.0));
  vec2 local2 = fract(starUv * 0.47 + vec2(17.0, -8.0)) - 0.5;
  float seed2 = hash21(cell2 + 4.7);
  float star2 = (1.0 - smoothstep(0.0, 0.04, length(local2))) * step(0.993, seed2);
  col += vec3(0.18, 0.30, 0.70) * star2 * 0.42;

float dust = 0.5 + 0.5 * sin(uv.x * 4.0 + sin(uv.y * 7.0) + tm * 0.08);
  dust *= 0.5 + 0.5 * sin(uv.y * 13.0 - uv.x * 2.0);
  col += vec3(0.015, 0.004, 0.026) * dust * exp(-2.2 * dot(uv, uv));
  return col;
}

vec3 shadeReliquary(vec3 p, vec3 rd, vec2 material, float tm){
  vec3 q = reliquaryDomain(p, tm);
  vec3 n = sceneNormal(p, tm);
  float view = clamp(dot(-rd, n), 0.0, 1.0);
  float rim = pow(1.0 - view, 3.0);
  vec3 keyDir = normalize(vec3(-0.48, 0.77, 0.42));
  vec3 fillDir = normalize(vec3(0.62, -0.20, -0.74));
  float key = max(dot(n, keyDir), 0.0);
  float fill = max(dot(n, fillDir), 0.0);
  float glint = pow(max(dot(reflect(rd, n), keyDir), 0.0), 24.0);

float grain = 0.5 + 0.5 * sin(dot(q, vec3(8.2, 13.7, 5.1)) +
                                 sin(q.x * 7.0 + q.z * 4.0) * 1.8);
  float depthPhase = length(p) * 0.42 + dot(n, vec3(0.2, 0.6, 0.3)) * 0.35;
  vec3 film = spectral(depthPhase + grain * 0.16 + tm * 0.018);
  vec3 deep = vec3(0.006, 0.008, 0.030);
  vec3 col = deep;

if (material.y < 1.5){
    float grooves = 0.5 + 0.5 * cos(8.0 * atan(q.z, q.x) + q.y * 2.0 + tm * 0.18);
    vec3 mineral = mix(vec3(0.012, 0.014, 0.042), vec3(0.055, 0.012, 0.088), grain);
    mineral *= 0.65 + 0.35 * grooves;
    col = mineral * (0.14 + 1.42 * key + 0.36 * fill);
    col += film * (0.045 + 0.24 * key + 0.14 * rim);
    col += rim * vec3(0.08, 0.25, 0.56);
    col += glint * vec3(0.85, 0.63, 0.30);
    // Two projected mode families make a restrained mineral crack network.
    // It is keyed from position, not brightness, so the thin lines retain
    // color while the body remains dark enough to frame the aperture.
    float chladniA = sin(q.x * 7.0 + tm * 0.12) * sin(q.y * 11.0)
                   - sin(q.y * 7.0) * sin(q.x * 11.0 + tm * 0.08);
    float chladniB = sin(q.z * 9.0 - tm * 0.10) * sin(q.y * 5.0)
                   - sin(q.y * 9.0) * sin(q.z * 5.0 + tm * 0.11);
    float fracture = 0.5 * chladniA + 0.5 * chladniB;
    float vein = 1.0 - smoothstep(0.012, 0.060, abs(fracture));
    col *= 1.0 - vein * 0.28;
    col += spectral(0.72 + q.y * 0.28 + tm * 0.03) * vein * (0.24 + 0.34 * key);
    float fineA = sin(q.x * 16.0 - q.z * 3.0 + tm * 0.18) * sin(q.y * 13.0)
                - sin(q.y * 16.0 + tm * 0.09) * sin(q.x * 3.0 + q.z * 13.0);
    float fineVein = 1.0 - smoothstep(0.010, 0.034, abs(fineA));
    col += spectral(0.48 + q.x * 0.22 - q.z * 0.16 + tm * 0.02) * fineVein * 0.15;
  } else if (material.y < 2.5){
    // The black heart only answers at its edge; the center is allowed to
    // remain black so the eye has somewhere to rest.
    col = vec3(0.00025, 0.00045, 0.002) * (0.3 + key);
    col += rim * spectral(0.52 + tm * 0.03) * 0.18;
    col += glint * vec3(0.22, 0.38, 0.72) * 0.42;
  } else if (material.y < 3.5){
    col = film * (0.24 + 1.24 * key) + rim * vec3(0.25, 0.64, 1.0);
    col += glint * vec3(1.0, 0.84, 0.48) * 1.4;
  } else if (material.y < 4.5){
    float petalPhase = atan(q.z, q.x) / TAU + q.y * 0.28 + grain * 0.12;
    vec3 petalFilm = spectral(petalPhase + tm * 0.025);
    col = petalFilm * (0.18 + 1.35 * key + 0.26 * fill);
    col += rim * vec3(0.10, 0.45, 0.92) + glint * vec3(0.94, 0.50, 0.25);
  } else if (material.y < 5.5){
    col = spectral(0.17 + q.y * 0.5 + tm * 0.04) * (0.55 + 1.45 * key);
    col += vec3(0.34, 0.76, 1.0) * rim * 0.8;
  } else if (material.y < 6.5){
    col = spectral(0.63 + q.y * 0.4 + tm * 0.035) * (0.38 + 1.5 * key);
    col += vec3(0.16, 0.58, 1.0) * rim * 0.65;
    col += glint * vec3(1.0, 0.58, 0.18) * 1.2;
  } else if (material.y < 8.5){
    float beadPhase = atan(q.y, q.x) / TAU + tm * 0.03;
    col = spectral(0.18 + beadPhase) * (0.60 + 1.45 * key);
    col += rim * vec3(0.36, 0.82, 1.0) + glint * vec3(1.0, 0.70, 0.24) * 1.5;
  } else {
    col = spectral(0.08 + grain * 0.2 + tm * 0.03) * (0.28 + 1.28 * key);
    col += vec3(0.24, 0.53, 1.0) * rim + glint * vec3(1.0, 0.70, 0.28);
  }

return col;
}

void main(){
  vec2 uv = (gl_FragCoord.xy - 0.5 * RENDERSIZE.xy) / RENDERSIZE.y;
  float tm = TIME * speed;
  vec3 ro = vec3(0.0, 0.015 * sin(tm * 0.31), 4.18);
  vec3 rd = normalize(vec3(uv.x, uv.y, -1.72));

vec3 col = background(uv, rd, tm);
  vec3 glow = vec3(0.0);
  float t = 0.0;
  float hit = -1.0;
  vec2 hitMaterial = vec2(0.0);

for (int i = 0; i < 112; i++){
    vec3 p = ro + rd * t;
    vec2 field = sceneMap(p, tm);
    float safeD = max(field.x, 0.0);
    float stepSize = min(max(field.x * 0.56, 0.005), 0.13);
    float line = orbitalLines(p, tm);
    float core = exp(-length(reliquaryDomain(p, tm)) * 6.5);
    float travelFade = exp(-0.16 * t);
    vec3 lineColor = spectral(0.14 + t * 0.06 + tm * 0.018);
    glow += lineColor * line * stepSize * 0.038 * bloom * travelFade;
    glow += vec3(0.12, 0.34, 0.95) * core * stepSize * 0.012 * bloom * travelFade;

if (field.x < 0.0007 + 0.00012 * t){
      hit = t;
      hitMaterial = field;
      break;
    }
    t += stepSize;
    if (t > 7.0) break;
  }

if (hit > 0.0){
    vec3 p = ro + rd * hit;
    vec3 surface = shadeReliquary(p, rd, hitMaterial, tm);
    float depthFog = exp(-0.075 * hit);
    col = mix(col, surface, depthFog);
    col += glow * 0.72;
  } else {
    col += glow * 0.58;
  }

float apertureHalo = exp(-length(uv) * 5.6) * exp(-abs(length(uv) - 0.28) * 9.0);
  col += spectral(0.48 + tm * 0.02) * apertureHalo * 0.018 * bloom;
  col *= 1.0 - 0.32 * smoothstep(0.45, 1.25, length(uv));

// Filmic compression preserves the tiny stars and the hot ring crossings.
  col = 1.0 - exp(-max(col, 0.0) * 1.28);
  col = pow(max(col, 0.0), vec3(0.4545));
  gl_FragColor = vec4(col, 1.0);
}

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