precision mediump float;
#define TDOutputSwizzle(c) (c)
uniform float u_time;
uniform vec2 u_resolution;

#define fragColor gl_FragColor

void main()
{
    vec2 uv = (gl_FragCoord.xy - u_resolution / 2.0) / u_resolution.y;
    float len = length(uv);

    // Base colors with smooth transition
    float r = sin(len * 12.0 - u_time * 3.0) * 0.5 + 0.5;

precision mediump float;
#define TDOutputSwizzle(c) (c)
uniform float u_time;
uniform vec2 u_resolution;

#define fragColor gl_FragColor

void main()
{
    vec2 uv = (gl_FragCoord.xy - u_resolution / 2.0) / u_resolution.y;

    float len = length(uv);

    // Base colors with smooth transition and reduced intensity

precision mediump float;
#define TDOutputSwizzle(c) (c)
uniform float u_time;
uniform vec2 u_resolution;

#define fragColor gl_FragColor

void main()
{
    vec2 uv = (gl_FragCoord.xy - u_resolution / 2.0) / u_resolution.y;
    float len = length(uv);
    float angle = atan(uv.y, uv.x);
    float radius = length(uv);

precision mediump float;
#define TDOutputSwizzle(c) (c)
uniform float u_time;
uniform vec2 u_resolution;

#define fragColor gl_FragColor

void main()
{
    vec2 uv = (gl_FragCoord.xy - u_resolution / 2.0) / u_resolution.y;
    float len = length(uv);
    float angle = atan(uv.y, uv.x);
    float radius = length(uv);

precision mediump float;
#define TDOutputSwizzle(c) (c)
uniform float time;
uniform vec2 resolution;

#define fragColor gl_FragColor

float random(vec2 st) {
    return fract(sin(dot(st.xy, vec2(12.9898, 78.233))) * 43758.5453123);
}

float noise(vec2 st) {
    vec2 i = floor(st);
    vec2 f = fract(st);

precision mediump float;
#define TDOutputSwizzle(c) (c)
uniform float time;
uniform vec2 resolution;

#define fragColor gl_FragColor

float random(vec2 p) {
    return fract(sin(dot(p, vec2(127.1, 311.7))) * 43758.5453123);
}

float noise(vec2 p) {
    vec2 i = floor(p);
    vec2 f = fract(p);

precision mediump float;
#define TDOutputSwizzle(c) (c)
uniform float time;
uniform vec2 resolution;

#define fragColor gl_FragColor

// Function to create a kaleidoscope effect
vec2 kaleidoscope(vec2 uv, float segments) {
    float angle = atan(uv.y, uv.x);
    float radius = length(uv);
    float newAngle = mod(angle, 2.0 * 3.141592 / segments);
    return vec2(cos(newAngle), sin(newAngle)) * radius;
}

precision mediump float;
uniform float time;
uniform vec2 resolution;

#define fragColor gl_FragColor

void main()
{
    vec2 uv = (gl_FragCoord.xy - 0.5 * resolution.xy) / resolution.y;

    // Dynamic scaling and rotation for the fractal over time
    float scale = 1.5 + 0.5 * sin(time * 0.2);
    float angle = time * 0.1;
    mat2 rotation = mat2(cos(angle), -sin(angle), sin(angle), cos(angle));

precision mediump float;
#define TDOutputSwizzle(c) (c)
uniform float time;
uniform vec2 resolution;

#define fragColor gl_FragColor

void main()
{
    // Normalize pixel coordinates (from 0 to 1)
    vec2 uv = gl_FragCoord.xy / resolution;

    // Move coordinates from (0,1) to (-1,1)
    uv = uv * 2.0 - 1.0;

precision mediump float;
#define TDOutputSwizzle(c) (c)
uniform float time;
uniform vec2 resolution;

#define fragColor gl_FragColor

void main()
{
    // Normalize pixel coordinates (from 0 to 1)
    vec2 uv = gl_FragCoord.xy / resolution;

    // Move coordinates from (0,1) to (-1,1)
    uv = uv * 2.0 - 1.0;

precision mediump float;
#define TDOutputSwizzle(c) (c)
uniform float time;
uniform vec2 resolution;

#define fragColor gl_FragColor

void main() {
    vec2 uv = (gl_FragCoord.xy - 0.5 * resolution.xy) / resolution.y;
    
    float len = length(uv);
    float angle = atan(uv.y, uv.x);

    // Increase number of segments for more intricate patterns

precision mediump float;
// Enhanced Flower of Life with Multi-Layered Central Light Pulse and Bloom
uniform float time;
uniform vec2 resolution;

#define fragColor gl_FragColor

// Function to draw a glowing circle with soft edges
float drawGlowCircle(vec2 uv, vec2 center, float radius, float glowIntensity) {
    float dist = length(uv - center);
    float glow = exp(-dist * glowIntensity) * smoothstep(radius + 0.01, radius - 0.01, dist);
    return glow;
}

precision mediump float;
// Refined Flower of Life with Balanced Glow and Aurora Shimmer (No Noise)
uniform float time;
uniform vec2 resolution;

#define fragColor gl_FragColor

// Function to draw a glowing circle with soft edges
float drawGlowCircle(vec2 uv, vec2 center, float radius, float glowIntensity) {
    float dist = length(uv - center);
    float glow = exp(-dist * glowIntensity) * smoothstep(radius + 0.01, radius - 0.01, dist);
    return glow * 0.5;  // Reduce overall glow intensity
}

precision mediump float;
#define TDOutputSwizzle(c) (c)
uniform float u_time;
uniform vec2 u_resolution;

#define fragColor gl_FragColor

void main()
{
    vec2 uv = (gl_FragCoord.xy - u_resolution / 2.0) / u_resolution.y;
    float len = length(uv);

    // Base harmonic oscillations for radiant colors
    float baseR = sin(len * 10.0 - u_time * 1.5) * 0.5 + 0.5;

precision mediump float;
#define TDOutputSwizzle(c) (c)
uniform float u_time;
uniform vec2 u_resolution;

#define fragColor gl_FragColor

void main() {
    vec2 uv = (gl_FragCoord.xy - u_resolution / 2.0) / u_resolution.y;
    float len = length(uv);

    // Base radial gradient for depth and cosmic feel
    float radialGradient = smoothstep(0.4, 1.2, len);

precision mediump float;
// "Beautiful Flower of Life" in a spiritual, mandala-like style.
// 
// Uniforms expected:
//   - u_time (float): Time in seconds
//   - u_resolution (vec2): The width and height of the viewport
//
// The final color is written to fragColor.

uniform float u_time;
uniform vec2 u_resolution;

#define fragColor gl_FragColor

precision mediump float;
uniform float u_time;
uniform vec2 u_resolution;

#define fragColor gl_FragColor

//--------------------------------------------------
// Utility Functions
//--------------------------------------------------

// Pseudo-random function for noise
float random(vec2 st) {
    return fract(sin(dot(st, vec2(12.9898,78.233))) * 43758.5453123);
}

precision mediump float;
uniform float u_time;
uniform vec2 u_resolution;

#define fragColor gl_FragColor

// 2D rotation matrix helper
mat2 rotate(float angle) {
    float s = sin(angle);
    float c = cos(angle);
    return mat2(c, -s, s, c);
}

// Basic hash-based noise

precision mediump float;
// TouchDesigner GLSL TOP - Ultimate Spiritual Sacred Geometry Shader
uniform float u_time;
uniform vec2 u_resolution;

#define fragColor gl_FragColor

// Golden Ratio constant
const float PHI = 1.61803398875;
const float PI = 3.14159265359;

// Function to create a hexagonal grid (Sri Yantra-like Pattern)
vec2 sacredGrid(vec2 p) {
    vec2 q = vec2(p.x * 2.0, p.y * 1.73205);

precision mediump float;
// Enhanced Sacred Geometry Shader with Complex, Nested Polygonal Patterns

uniform float u_time;
uniform vec2 u_resolution;

#define fragColor gl_FragColor

// ---------------------------------------------------
// 1) Pseudo-random noise (hash-based)
// ---------------------------------------------------
float hash21(vec2 p)
{
    p = fract(p * vec2(234.34, 435.345));

precision mediump float;
// "Immersive Animated Flower of Life" Shader
//
// Uniforms expected:
//   - u_time (float): Time in seconds
//   - u_resolution (vec2): The width and height of the viewport
//
// The final color is written to fragColor.

uniform float u_time;
uniform vec2 u_resolution;
#define fragColor gl_FragColor

// ---------------------------------------------------

precision mediump float;
// "Ethereal Radiant Mandala" Shader
//
// Uniforms expected:
//   - u_time (float): Time in seconds
//   - u_resolution (vec2): The width and height of the viewport
//
// The final color is written to fragColor.

uniform float u_time;
uniform vec2 u_resolution;
#define fragColor gl_FragColor

#define PI 3.14159265359

precision mediump float;
uniform float u_time;
uniform vec2 u_resolution;

#define fragColor gl_FragColor

const float PI = 3.14159265359;
const float PHI = 1.61803398875;

// 2D rotation
mat2 rotate2D(float angle) {
    float s = sin(angle);
    float c = cos(angle);
    return mat2(c, -s, s, c);

precision mediump float;
// Sacred Portal Shader – Spiritually Tuned Mandala Cosmos

uniform float u_time;
uniform vec2 u_resolution;
#define fragColor gl_FragColor

float hash21(vec2 p) {
    p = fract(p * vec2(234.34, 435.345));
    p += dot(p, p + 34.345);
    return fract(p.x * p.y);
}

float noise2D(vec2 p) {

precision mediump float;
uniform float u_time;
uniform vec2 u_resolution;
#define fragColor gl_FragColor

#define MAX_STEPS   120
#define MAX_DIST    100.0
#define SURF_DIST   0.001

float opSmoothUnion(float d1, float d2, float k) {
    float h = clamp(0.5 + 0.5 * (d2 - d1) / k, 0.0, 1.0);
    return mix(d2, d1, h) - k * h * (1.0 - h);
}

precision mediump float;
uniform float u_time;
uniform vec2 u_resolution;

#define fragColor gl_FragColor

const float PI = 3.14159265359;
const float PHI = 1.61803398875;

// 2D rotation
mat2 rotate2D(float angle) {
    float s = sin(angle);
    float c = cos(angle);
    return mat2(c, -s, s, c);

precision mediump float;
uniform float u_time;
uniform vec2 u_resolution;
#define fragColor gl_FragColor

#define MAX_STEPS 150
#define MAX_DIST 100.0
#define SURF_DIST 0.001

// Smooth min for blending shapes
float opSmoothUnion(float d1, float d2, float k) {
    float h = clamp(0.5 + 0.5 * (d2 - d1) / k, 0.0, 1.0);
    return mix(d2, d1, h) - k * h * (1.0 - h);
}

precision mediump float;
// 🌸 Elegant Pastel Mandala Shader
uniform float u_time;
uniform vec2  u_resolution;
#define fragColor gl_FragColor

#define TAU 6.28318530718

//---------------------- Elegant Pastel Palette ----------------------
vec3 palette(float t){
    vec3 a = vec3(0.92, 0.90, 0.89);  // elegant ivory tone
    vec3 b = vec3(0.12, 0.13, 0.14);  // low contrast for subtlety
    vec3 c = vec3(1.0);
    vec3 d = vec3(0.03, 0.20, 0.55);

precision mediump float;
#define TDOutputSwizzle(c) (c)
// TouchDesigner GLSL TOP (GLSL 3.30)
// “Rose-Nebula💎DIVINE BLOOM” – The peak of sacred spiritual visual geometry

uniform float time;
uniform vec2 resolution;
#define fragColor gl_FragColor

vec3 hsv2rgb(vec3 c){
    vec3 p = abs(fract(c.x + vec3(0.0,2./3.,1./3.))*6.0 - 3.0);
    return c.z * mix(vec3(1.0), clamp(p - 1.0, 0.0, 1.0), c.y);
}

precision mediump float;
// 🌊✨ IMMERSIVE Cosmic Ocean - Deep Dive Edition
// Full environmental immersion with parallax depth, atmospheric fog,
// dynamic camera effects, and spatial audio visualization

uniform float u_time;
uniform vec2  u_resolution;
#define fragColor gl_FragColor

#define TAU 6.28318530718
#define PI 3.14159265359
#define GOLDEN_RATIO 1.61803398875

// Enhanced hash functions

precision mediump float;
// 🔺✨ CRYSTALLINE PRISM - Dynamic Geometric Art
// Abstract geometric patterns with prismatic color separation,
// rotating crystal formations, and dynamic lighting effects

uniform float u_time;
uniform vec2  u_resolution;
#define fragColor gl_FragColor

#define TAU 6.28318530718
#define PI 3.14159265359
#define SQRT3 1.73205080757

// Rotation matrix

precision mediump float;
// 🔺🌠 CRYSTALLINE PRISM — ANIMATED COSMIC SPIRIT MODE
// —————————————————————————————————————————————————————————
// Enhanced motion: dynamic swirl, pulsating superformula, flickering stars, evolving kaleidoscope

uniform float  u_time;
uniform vec2   u_resolution;
#define fragColor gl_FragColor

#define TAU 6.2831853
#define PHI 1.6180339

// ----------------------------------------------------------------------------
//  Hash & Noise

precision mediump float;
// 🌊✨ IMMERSIVE Cosmic Ocean - Deep Dive Edition
// Full environmental immersion with parallax depth, atmospheric fog,
// dynamic camera effects, and spatial audio visualization

uniform float u_time;
uniform vec2  u_resolution;
#define fragColor gl_FragColor

#define TAU 6.28318530718
#define PI 3.14159265359
#define GOLDEN_RATIO 1.61803398875

// Enhanced hash functions

precision mediump float;
// ✴︎ MONO MANDALA QUASICRYSTAL — v2 (ultra clean B/W) ✴︎

uniform float u_time;
uniform vec2  u_resolution;

#define fragColor gl_FragColor

const float PI  = 3.14159265359;
const float TAU = 6.28318530718;
const float PHI = 1.61803398875;

// ---------- utils
mat2 rotate2D(float a){ float s=sin(a), c=cos(a); return mat2(c,-s,s,c); }

precision mediump float;
// 🔺🌠 CRYSTALLINE PRISM — ANIMATED COSMIC SPIRIT MODE
// —————————————————————————————————————————————————————————
// Enhanced motion: dynamic swirl, pulsating superformula, flickering stars, evolving kaleidoscope

uniform float  u_time;
uniform vec2   u_resolution;
#define fragColor gl_FragColor

#define TAU 6.2831853
#define PHI 1.6180339

// ----------------------------------------------------------------------------
//  Hash & Noise

precision mediump float;
// ✴︎ MANDALA QUASICRYSTAL — SMOOTH SEGMENT MORPH (no "watch tick")
// Uniforms: u_time (float), u_resolution (vec2), uAudio (optional 0..1)

uniform float u_time;
uniform vec2  u_resolution;
uniform float uAudio; // optional; if not wired, TD gives 0

#define fragColor gl_FragColor

const float PI  = 3.14159265359;
const float TAU = 6.28318530718;

// ---------- Tunables

precision mediump float;
// ✨ Mathematical Sacred Mandala Shader - Refactored Version
// A sophisticated black & white mandala featuring:
// - 13+ layers of complex mathematical geometry
// - Sacred patterns with hidden details
// - 3D depth simulation and realistic lighting
// - Advanced mathematical curves and spirals

uniform float u_time;
uniform vec2  u_resolution;
#define fragColor gl_FragColor

// Mathematical constants
#define TAU 6.28318530718

precision mediump float;
#define TDOutputSwizzle(c) (c)
// Crystal Shader with Theme Colors

uniform float u_time;
uniform vec2 u_resolution;

// Theme color palette
const vec3 deepPurple = vec3(0.212, 0.176, 0.471);  // #362d78
const vec3 richPurple = vec3(0.322, 0.247, 0.639);  // #523fa3  
const vec3 lavender = vec3(0.569, 0.424, 0.800);    // #916ccc
const vec3 lightLavender = vec3(0.741, 0.631, 0.898); // #bda1e5
const vec3 paleBlue = vec3(0.784, 0.753, 0.914);    // #c8c0e9
const vec3 skyBlue = vec3(0.518, 0.729, 0.906);     // #84bae7

precision mediump float;
// TouchDesigner GLSL TOP - Pixel Shader
// Enhanced raymarch scene with flowing geometries and ethereal lighting

#define fragColor gl_FragColor

uniform float u_time;
uniform vec2  u_resolution;

// ------------------------------
// Enhanced Quality Settings
// ------------------------------
const int   MAX_STEPS  = 64;
const float MAX_DIST   = 120.0;

precision mediump float;
// TouchDesigner GLSL TOP - Pixel Shader
// Enhanced raymarch scene with flowing geometries and ethereal lighting

#define fragColor gl_FragColor

uniform float u_time;
uniform vec2  u_resolution;

// ------------------------------
// Enhanced Quality Settings
// ------------------------------
const int   MAX_STEPS  = 64;
const float MAX_DIST   = 120.0;

precision mediump float;
// TouchDesigner GLSL TOP - Pixel Shader
// Liquid Dreams - Black & White Shader Art

#define fragColor gl_FragColor

uniform float u_time;
uniform vec2  u_resolution;

#define MAX_STEPS 100
#define MAX_DIST 100.0
#define SURF_DIST 0.001

// Rotation matrix

precision mediump float;

#define fragColor gl_FragColor

uniform float u_time;
uniform vec2  u_resolution;

// TODO(human): Experiment with these parameters to customize the visual
// Try different values: CIRCLES (3-12), LAYERS (2-5), SPEED (0.2-0.8)
#define CIRCLES 7.0
#define LAYERS 4.0
#define SPEED 0.6

// Golden ratio - the sacred proportion

precision mediump float;
// TouchDesigner GLSL TOP - Pixel Shader
// Ultra Beautiful 3D Raymarching Scene
// Theme: Ethereal Purple-Blue Cosmic Dreams

#define fragColor gl_FragColor

uniform float u_time;
uniform vec2  u_resolution;

// Your exquisite color palette
const vec3 col1 = vec3(0.212, 0.176, 0.471); // #362d78
const vec3 col2 = vec3(0.322, 0.247, 0.639); // #523fa3
const vec3 col3 = vec3(0.569, 0.424, 0.800); // #916ccc

precision mediump float;
#define fragColor gl_FragColor

uniform float u_time;
uniform vec2  u_resolution;

// Raymarching constants
#define MAX_STEPS 100
#define MAX_DIST 100.0
#define SURF_DIST 0.001

// Mandelbulb parameters
#define ITERATIONS 15

precision mediump float;
#define fragColor gl_FragColor

uniform float u_time;
uniform vec2  u_resolution;

// Color palette - purple and blue theme
const vec3 color1 = vec3(0.212, 0.176, 0.471); // #362d78
const vec3 color2 = vec3(0.322, 0.247, 0.639); // #523fa3
const vec3 color3 = vec3(0.569, 0.424, 0.800); // #916ccc
const vec3 color4 = vec3(0.741, 0.631, 0.898); // #bda1e5
const vec3 color5 = vec3(0.784, 0.753, 0.914); // #c8c0e9
const vec3 color6 = vec3(0.518, 0.729, 0.906); // #84bae7
const vec3 color7 = vec3(0.318, 0.416, 0.831); // #516ad4

precision mediump float;
#define fragColor gl_FragColor

uniform float u_time;
uniform vec2  u_resolution;

// Rotation matrix
mat2 rot(float a) {
    float s = sin(a);
    float c = cos(a);
    return mat2(c, -s, s, c);
}

// Signed Distance Functions

precision mediump float;
#define fragColor gl_FragColor

uniform float u_time;
uniform vec2  u_resolution;

// Theme color palette - deep purples to teals
const vec3 COL0 = vec3(0.212, 0.176, 0.471); // #362d78
const vec3 COL1 = vec3(0.322, 0.247, 0.639); // #523fa3
const vec3 COL2 = vec3(0.569, 0.424, 0.800); // #916ccc
const vec3 COL3 = vec3(0.741, 0.631, 0.898); // #bda1e5
const vec3 COL4 = vec3(0.784, 0.753, 0.914); // #c8c0e9
const vec3 COL5 = vec3(0.518, 0.729, 0.906); // #84bae7
const vec3 COL6 = vec3(0.318, 0.416, 0.831); // #516ad4

precision mediump float;
#define fragColor gl_FragColor

uniform float u_time;
uniform vec2  u_resolution;

#define PI 3.14159265359
#define TAU 6.28318530718
#define PHI 1.61803398875

// ============ UTILITIES ============

float hash(vec2 p) {
    vec3 p3 = fract(vec3(p.xyx) * 0.1031);

precision mediump float;
#define fragColor gl_FragColor

uniform float u_time;
uniform vec2  u_resolution;

// Color palette - original cool purples and blues
const vec3 color1 = vec3(0.212, 0.176, 0.471); // deep purple
const vec3 color2 = vec3(0.322, 0.247, 0.639); // royal purple
const vec3 color3 = vec3(0.569, 0.424, 0.800); // lavender
const vec3 color4 = vec3(0.741, 0.631, 0.898); // light purple
const vec3 color5 = vec3(0.784, 0.753, 0.914); // pale lavender
const vec3 color6 = vec3(0.518, 0.729, 0.906); // sky blue
const vec3 color7 = vec3(0.318, 0.416, 0.831); // blue

precision mediump float;
#define fragColor gl_FragColor
uniform float u_time;
uniform vec2  u_resolution;

#define PI 3.14159265359

mat2 rot(float a) {
    float c = cos(a), s = sin(a);
    return mat2(c, -s, s, c);
}

float sdSphere(vec3 p, float r) { return length(p) - r; }

precision mediump float;
// Enhanced Topology Shader for TouchDesigner
// Features: Klein bottle, Möbius forms, iridescence, bloom, subsurface scattering

#define fragColor gl_FragColor
uniform float u_time;
uniform vec2  u_resolution;

// Original color palette - topology theme (preserved)
const vec3 color1 = vec3(0.212, 0.176, 0.471); // #362d78 deep violet
const vec3 color2 = vec3(0.322, 0.247, 0.639); // #523fa3 royal purple
const vec3 color3 = vec3(0.569, 0.424, 0.800); // #916ccc lavender
const vec3 color4 = vec3(0.741, 0.631, 0.898); // #bda1e5 soft lilac
const vec3 color5 = vec3(0.784, 0.753, 0.914); // #c8c0e9 pale violet

precision mediump float;
#define TDOutputSwizzle(c) (c)
// TouchDesigner GLSL TOP - Ethereal Garden
// Organic flowing forms with enhanced animations

uniform float u_time;
uniform vec2 u_resolution;

#define PI 3.14159265359
#define TAU 6.28318530718
#define PHI 1.61803398875

#define MAX_STEPS 100
#define MAX_DIST 80.0

precision mediump float;
#define TDOutputSwizzle(c) (c)
// TouchDesigner GLSL TOP - Celtic Sacred Geometry
// Black & white sacred geometry with Celtic knot patterns

uniform float u_time;
uniform vec2 u_resolution;

#define PI 3.14159265359
#define TAU 6.28318530718

// ============================================
// UTILITY FUNCTIONS
// ============================================

precision mediump float;
#define TDOutputSwizzle(c) (c)
// TouchDesigner GLSL TOP - Sacred Geometry: Celestial Temple
// Deep violet → celestial blue | Ancient math + otherworldly beauty
// Domain warping, aurora, mandala, god rays, chromatic bloom

uniform float u_time;
#define fragColor gl_FragColor

#define PI  3.14159265359
#define TAU 6.28318530718
#define PHI 1.61803398875

// ── Palette ────────────────────────────────────────────────

precision mediump float;
#define TDOutputSwizzle(c) (c)
// TouchDesigner GLSL TOP - Ethereal Mathematical Garden III
// Black & White | Sacred geometry, organic flows, crystalline dreams
// Ultimate edition: Metatron's Cube, peacock feathers, snowflakes, galaxies

uniform float u_time;
#define fragColor gl_FragColor

#define PI 3.14159265359
#define TAU 6.28318530718
#define PHI 1.618033988749
#define SQRT3 1.732050808

precision mediump float;
#define TDOutputSwizzle(c) (c)
// TouchDesigner GLSL TOP - Raymarched Triply Periodic Minimal Surfaces
// Morphing Gyroid ↔ Schwarz P ↔ Schwarz Diamond
// Palette: Deep indigo → lavender → sky blue → dark teal

uniform float u_time;
#define fragColor gl_FragColor

// ─── Color Palette (10 colors) ───────────────────────────
const vec3 PAL[10] = vec3[10](
    vec3(0.212, 0.176, 0.471),  // #362d78 deep indigo
    vec3(0.322, 0.247, 0.639),  // #523fa3 purple
    vec3(0.569, 0.424, 0.800),  // #916ccc medium purple

precision mediump float;
#define TDOutputSwizzle(c) (c)
uniform float u_time;
#define fragColor gl_FragColor

mat2 rot(float a)
{
    float c = cos(a);
    float s = sin(a);
    return mat2(c, -s, s, c);
}

float hash21(vec2 p)
{

precision mediump float;
uniform float u_time;
uniform vec2  uRes;      // TD Vectors1 — e.g. 1280.0  720.0
uniform float uDepth;    // water depth darkness  [0.2–0.8]  default 0.45
uniform float uSpeed;    // animation speed       [0.3–2.0]  default 1.0
uniform float uRayInt;   // god-ray intensity     [0.0–1.5]  default 0.7
uniform float uGlow;     // bioluminescence       [0.0–1.0]  default 0.35
uniform float uHaze;     // water turbidity       [0.0–1.0]  default 0.3
#define fragColor gl_FragColor

// ── palette ───────────────────────────────────────────────────────────────
#define C_DEEP_P   vec3(0.212, 0.176, 0.471)  // #362d78
#define C_MID_P    vec3(0.322, 0.247, 0.639)  // #523fa3
#define C_BRIGHT_P vec3(0.569, 0.424, 0.800)  // #916ccc

precision mediump float;
// uVars = absTime  →  TD auto-declares this from Vectors tab (Type: float)
// DO NOT redeclare uniforms here — TD injects them automatically.

// ─── Mathematical Particle Art ──────────────────────────────────────
// Each particle is assigned a unique (u, v) position on a parametric
// surface. The formula f(u, v, t) defines the entire visual character.
// ─────────────────────────────────────────────────────────────────────

#define PI  3.14159265359
#define TAU 6.28318530718

mat2 rot(float a) {
    float s = sin(a);

precision mediump float;
// uVars = absTime  →  TD auto-declares this from Vectors tab (Type: float)
// DO NOT redeclare uniforms here — TD injects them automatically.

// ─── Superformula Particle Art ───────────────────────────────────────
#define PI  3.14159265359
#define TAU 6.28318530718

float superformula(float theta, float m, float n1, float n2, float n3) {
    float a = pow(abs(cos(m * theta / 4.0)), n2);
    float b = pow(abs(sin(m * theta / 4.0)), n3);
    float r = pow(a + b, -1.0 / n1);
    return r;
}