基础曲线

Impulse 曲线

#ifdef GL_ES
precision mediump float;
#endif

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

//  Function from Iñigo Quiles
//  www.iquilezles.org/www/articles/functions/functions.htm
float impulse( float k, float x ){
    float h = k*x;
    return h*exp(1.0-h);
}

float plot(vec2 st, float pct){
  return  smoothstep( pct-0.02, pct, st.y) -
          smoothstep( pct, pct+0.02, st.y);
}

void main() {
    vec2 st = gl_FragCoord.xy/u_resolution;

    float y = impulse(12.,st.x);

    vec3 color = vec3(y);

    float pct = plot(st,y);
    color = (1.0-pct)*color+pct*vec3(0.0,1.0,0.0);

    gl_FragColor = vec4(color,1.0);
}



cubicPulse 曲线


#ifdef GL_ES
precision mediump float;
#endif

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

//  Function from Iñigo Quiles
//  www.iquilezles.org/www/articles/functions/functions.htm
float cubicPulse( float c, float w, float x ){
    x = abs(x - c);
    if( x>w ) return 0.0;
    x /= w;
    return 1.0 - x*x*(3.0-2.0*x);
}

float plot(vec2 st, float pct){
  return  smoothstep( pct-0.02, pct, st.y) -
          smoothstep( pct, pct+0.02, st.y);
}

void main() {
    vec2 st = gl_FragCoord.xy/u_resolution;

    float y = cubicPulse(0.5,0.2,st.x);

    vec3 color = vec3(y);

    float pct = plot(st,y);
    color = (1.0-pct)*color+pct*vec3(0.0,1.0,0.0);

    gl_FragColor = vec4(color,1.0);
}

parabola 曲线

#ifdef GL_ES
precision mediump float;
#endif

uniform vec2 u_resolution;
uniform float u_time;

//  Function from Iñigo Quiles
//  www.iquilezles.org/www/articles/functions/functions.htm
float parabola( float x, float k ){
    return pow( 4.0*x*(1.0-x), k );
}

float plot(vec2 st, float pct){
  return  smoothstep( pct-0.02, pct, st.y) -
          smoothstep( pct, pct+0.02, st.y);
}

void main() {
    vec2 st = gl_FragCoord.xy/u_resolution;

    float y = parabola(st.x,1.0);

    vec3 color = vec3(y);

    float pct = plot(st,y);
    color = (1.0-pct)*color+pct*vec3(0.0,1.0,0.0);

    gl_FragColor = vec4(color,1.0);
}

pcurve 曲线

#ifdef GL_ES
precision mediump float;
#endif

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

//  Function from Iñigo Quiles
//  www.iquilezles.org/www/articles/functions/functions.htm
float pcurve( float x, float a, float b ){
    float k = pow(a+b,a+b) / (pow(a,a)*pow(b,b));
    return k * pow( x, a ) * pow( 1.0-x, b );
}

float plot(vec2 st, float pct){
  return  smoothstep( pct-0.02, pct, st.y) -
          smoothstep( pct, pct+0.02, st.y);
}

void main() {
    vec2 st = gl_FragCoord.xy/u_resolution;
    float y = pcurve(st.x,3.0,1.0);
    vec3 color = vec3(y);
    float pct = plot(st,y);
    color = (1.0-pct)*color+pct*vec3(0.0,1.0,0.0);

    gl_FragColor = vec4(color,1.0);
}

多项式构造函数:http://www.flong.com/texts/code/shapers_poly/

指数构造函数:http://www.flong.com/texts/code/shapers_exp/

圆与椭圆的造型函数:http://www.flong.com/texts/code/shapers_circ/

贝塞尔和其他参数化造型函数:http://www.flong.com/texts/code/shapers_bez/