LYGIA Shader Library

* `m` determines number of sides/branches
* `m = 0` yields a circle
* `a!=b` results in an assymetrical shape
* `n1=n2=n3<1` the shape is "pinched"
* `n1>n2,n3` the shape is "bloated"
* `n1!=n2!=n3` the shape is assymetrical
* `n1=n2=n3=1` the shape is a square
* `n1=n2=n3=2` the shape is a star

Dependencies:

• lygia/space/cart2polar.glsl

Use:

<float> supershapeSDF(<vec2> st, <vec2> center, <float> size s, <float> a, <float> b, <float> n1, <float> n2, <float> n3, <float> m)

<float> supershapeSDF(<vec2> st, <float> size s, <float> a, <float> b, <float> n1, <float> n2, <float> n3, <float> m)

Check it on Github

#ifndef FNC_SUPERSHAPESDF
#define FNC_SUPERSHAPESDF
float superShapeSDF( in vec2 st, in vec2 center, in float s, in float a, in float b, in float n1, in float n2, in float n3, in float m ) {
    st -= center;
    vec2 polar = cart2polar( st );
    float d = polar.y * 5.0;
    float theta = polar.x;
    float t1 = abs((1.0/a) * cos(m * theta * 0.25));
    t1 = pow(t1, n2);
    float t2 = abs((1.0/b) * sin(m * theta * 0.25));
    t2 = pow(t2, n3);
    float t3 = t1 + t2;
    float r = pow(t3, -1.0 / n1);
    vec2 q = s * r * vec2(cos(theta), sin(theta));
    return d - length(q); 
}

float superShapeSDF( in vec2 st, in float s, in float a, in float b, in float n1, in float n2, in float n3, in float m ) {
    #ifdef CENTER_2D
    return superShapeSDF( st, CENTER_2D, s, a, b, n1, n2, n3, m );
    #else
    return superShapeSDF( st, vec2(0.5), s, a, b, n1, n2, n3, m );
    #endif
}
#endif

Dependencies:

• lygia/space/cart2polar.glsl

Use:

<float> supershapeSDF(<float2> st, <float> size s, <float> a, <float> b, <float> n1, <float> n2, <float> n3, <float> m)

Check it on Github

#ifndef FNC_SUPERSHAPESDF
#define FNC_SUPERSHAPESDF
float superShapeSDF( in float2 st, in float2 center, in float s, in float a, in float b, in float n1, in float n2, in float n3, in float m ) {
    st -= center;
    float2 polar = cart2polar( st );
    float d = polar.y * 5.0;
    float theta = polar.x;
    float t1 = abs((1.0/a) * cos(m * theta * 0.25));
    t1 = pow(t1, n2);
    float t2 = abs((1.0/b) * sin(m * theta * 0.25));
    t2 = pow(t2, n3);
    float t3 = t1 + t2;
    float r = pow(t3, -1.0 / n1);
    float2 q = s * r * float2(cos(theta), sin(theta));
    return d - length(q); 
}

float superShapeSDF( in float2 st, in float s, in float a, in float b, in float n1, in float n2, in float n3, in float m ) {
    #ifdef CENTER_2D
    return superShapeSDF( st, CENTER_2D, s, a, b, n1, n2, n3, m );
    #else
    return superShapeSDF( st, float2(0.5, 0.5), s, a, b, n1, n2, n3, m );
    #endif
}
#endif

Dependencies:

• lygia/space/cart2polar.glsl

Use:

<float> supershapeSDF(<float2> st, <float2> center, <float> size s, <float> a, <float> b, <float> n1, <float> n2, <float> n3, <float> m)

<float> supershapeSDF(<float2> st, <float> size s, <float> a, <float> b, <float> n1, <float> n2, <float> n3, <float> m)

Check it on Github

#ifndef FNC_SUPERSHAPESDF
#define FNC_SUPERSHAPESDF
float superShapeSDF( float2 st, float2 center, float s, float a, float b, float n1, float n2, float n3, float m ) {
    st -= center;
    float2 polar = cart2polar( st );
    float d = polar.y * 5.0;
    float theta = polar.x;
    float t1 = abs((1.0/a) * cos(m * theta * 0.25));
    t1 = pow(t1, n2);
    float t2 = abs((1.0/b) * sin(m * theta * 0.25));
    t2 = pow(t2, n3);
    float t3 = t1 + t2;
    float r = pow(t3, -1.0 / n1);
    float2 q = s * r * float2(cos(theta), sin(theta));
    return d - length(q); 
}

float superShapeSDF( float2 st, float s, float a, float b, float n1, float n2, float n3, float m ) {
    #ifdef CENTER_2D
    return superShapeSDF( st, CENTER_2D, s, a, b, n1, n2, n3, m );
    #else
    return superShapeSDF( st, float2(0.5), s, a, b, n1, n2, n3, m );
    #endif
}
#endif