Geometrical Element (Plate 4 - 12) b.frag

/* Main function, uniforms & utils */
#ifdef GL_ES
precision highp float;
#endif

uniform vec2 u_resolution;
uniform vec2 u_mouse;
uniform float u_time;

#define HALF_PI 1.5707963267948966
#define PI      3.14159265358979323846
#define TWO_PI  6.28318530718

/* Coordinate and unit utils */
vec2 coord(in vec2 p) {
  p = p / u_resolution.xy;
    // correct aspect ratio
    if (u_resolution.x > u_resolution.y) {
        p.x *= u_resolution.x / u_resolution.y;
        p.x += (u_resolution.y - u_resolution.x) / u_resolution.y / 2.0;
    } else {
        p.y *= u_resolution.y / u_resolution.x;
      p.y += (u_resolution.x - u_resolution.y) / u_resolution.x / 2.0;
    }
    // centering
    p -= 0.5;
    p *= vec2(-1.0, 1.0);
  return p;
}
#define rx 1.0 / min(u_resolution.x, u_resolution.y)
#define uv gl_FragCoord.xy / u_resolution.xy
#define st coord(gl_FragCoord.xy)
#define mx coord(u_mouse)

/* Signed distance drawing methods */
float fill(in float d) { return 1.0 - smoothstep(0.0, rx * 2.0, d); }
float stroke(in float d, in float t) { return 1.0 - smoothstep(t - rx * 1.5, t + rx * 1.5, abs(d)); }
vec3 draw(in sampler2D t, in vec2 pos, in vec2 w) { vec2 s = w / 1.0; s.x *= -1.0; return texture2D(t, pos / s + 0.5).rgb; }

/* Tiling function */
vec2 tile(in vec2 p, vec2 w) { return fract(mod(p + w / 2.0, w)) - (w / 2.0); }
vec2 tile(in vec2 p, float w) { return tile(p, vec2(w)); }

/* Shape 2D segment */
float sSegment(in vec2 a, in vec2 b) {
    vec2 ba = a - b;
    float d = clamp(dot(a, ba) / dot(ba, ba), 0.0, 1.0);
    return length(a - ba * d) * 2.0;
}
float segment(in vec2 a, in vec2 b, float t) {
    float d = sSegment(a, b);
    return stroke(d, t);
}

/* Shape 2D line */
float sLine(in vec2 a, in vec2 b) {
    vec2 p = b - a;
    float d = abs(dot(normalize(vec2(p.y, -p.x)), a));
    return d * 2.0;
}
float line(in vec2 a, in vec2 b) {
    float d = sLine(a, b);
    return fill(d);
}
float line(in vec2 a, in vec2 b, in float t) {
    float d = sLine(a, b);
    return stroke(d, t);
}
float line(in vec2 p, in float a, in float t) {
    vec2 b = p + vec2(sin(a), cos(a));
    return line(p, b, t);
}

/* Shape 2D grid */
float grid(in vec2 p, in float w) {
    vec2 l = tile(p, w);
    float d = 0.0;
    d += line(l, l + vec2(0.0, 0.1), 0.002);
    d += line(l, l + vec2(0.1, 0.0), 0.002);
    d *= 0.2;
    p = tile(p, vec2(w * 5.0));
    float s = w / 10.0;
    float g = 0.0;
    g += segment(p + vec2(-s, 0.0), p + vec2(s, 0.0), 0.004);
    g += segment(p + vec2(0.0, -s), p + vec2(0.0, s), 0.004);
    return d + g;
}

/* Shape 2D arc */
float sArc(in vec2 p, in float w, in float s, in float e) {    
    float a = distance(p, w * 0.5 * vec2(cos(s), sin(s)));
    float x = -PI;
    p *= mat2(cos(x - s), -sin(x - s), sin(x - s), cos(x - s));
    float b = clamp(atan(p.y, p.x), x, x + e);
    b = distance(p, w * 0.5 * vec2(cos(b), sin(b)));
    return min(a, b) * 2.0;
}
float arc(in vec2 p, in float w, in float s, in float e, in float t) {
    float d = sArc(p, w, s, e);
    return stroke(d, t);
}

/* Shape 2D rect */
float sRect(in vec2 p, in vec2 w) {    
    float d = max(abs(p.x / w.x), abs(p.y / w.y)) * 2.0;
    float m = max(w.x, w.y);
    return d * m - m;
}
float rect(in vec2 p, in vec2 w) {
    float d = sRect(p, w);
    return fill(d);
}
float rect(in vec2 p, in vec2 w, in float t) {
    float d = sRect(p, w);
    return stroke(d, t);
}

/* Rotate 2D */
vec2 rotate(vec2 _st, float _angle) {
    // _st -= 0.5;
    _st = mat2(cos(_angle), -sin(_angle),
               sin(_angle), cos(_angle)) * _st;
    // _st += 0.5;
    return _st;
}

/* Geometrical Element */
float wave(vec2 p, float d, float width) {
    float w = 0.0;

    p.y -= 0.1;
    w += arc(p, d, HALF_PI,      HALF_PI, width);

    p.x += 0.1;
    w += arc(p, d, HALF_PI + PI, HALF_PI, width);

    p.y += 0.1;
    w += arc(p, d, HALF_PI,      HALF_PI, width);

    return w;
}

float twelve(vec2 p, float width) {
    float m = 0.0;
    float d = fract(PI) / (1.41 + width);

    for(int i = 0; i < 4; i++) {
        m += wave(p, d, width);
        p = rotate(p, HALF_PI);
    }

    return m;
}


void main() {
    // Use polar coordinates instead of cartesian
    vec2 toCenter = vec2(HALF_PI) * (st / HALF_PI);
    float angle = atan(toCenter.y, toCenter.x);
    float radius = length(toCenter) * 2.0;

    vec2 p = toCenter * PI;
    float n = HALF_PI/(TWO_PI - HALF_PI);
    
    p = rotate(p, TWO_PI + cos(abs(u_time / 2.0))); 
    p = tile(p, vec2(n));

    vec3 color = vec3(0.0);

    // p = rotate(p, TWO_PI + sin(abs(u_time)));
    color -= rect(p, vec2(0.07), 0.01);
    color -= twelve(p, 0.01 / (radius - angle));
   
    color.r -= sin(p.x + angle);
    color.g += cos(p.y);
    color.b += .7;

    mat3 rgb2yuv = mat3(0.2126,   0.7152,  0.0722,
                       -0.09991, -0.33609, 0.43600,
                        0.615,   -0.5586, -0.05639);

    gl_FragColor = vec4(color + rgb2yuv[2], 1.0);
}