lygia/v1.1.6/sdf/triPrismSDF)generate the SDF of a triangular prism
Use:
<float> triPrismSDF( in <vec3> pos, in <vec2> h )
#ifndef FNC_TRIPRISMSDF
#define FNC_TRIPRISMSDF
float triPrismSDF( vec3 p, vec2 h ) {
vec3 q = abs(p);
return max(q.z-h.y,max(q.x*0.866025+p.y*0.5,-p.y)-h.x*0.5);
}
// float triPrismSDF( vec3 p, vec2 h ) {
// const float k = sqrt(3.0);
// h.x *= 0.5*k;
// p.xy /= h.x;
// p.x = abs(p.x) - 1.0;
// p.y = p.y + 1.0/k;
// if( p.x+k*p.y>0.0 ) p.xy=vec2(p.x-k*p.y,-k*p.x-p.y)/2.0;
// p.x -= clamp( p.x, -2.0, 0.0 );
// float d1 = length(p.xy)*sign(-p.y)*h.x;
// float d2 = abs(p.z)-h.y;
// return length(max(vec2(d1,d2),0.0)) + min(max(d1,d2), 0.);
// }
#endif
Use:
<float> triPrismSDF( in <float3> pos, in <float2> h )
#ifndef FNC_TRIPRISMSDF
#define FNC_TRIPRISMSDF
float triPrismSDF( float3 p, float2 h ) {
float3 q = abs(p);
return max(q.z-h.y,max(q.x*0.866025+p.y*0.5,-p.y)-h.x*0.5);
}
// float triPrismSDF( float3 p, float2 h ) {
// const float k = sqrt(3.0);
// h.x *= 0.5*k;
// p.xy /= h.x;
// p.x = abs(p.x) - 1.0;
// p.y = p.y + 1.0/k;
// if( p.x+k*p.y>0.0 ) p.xy=float2(p.x-k*p.y,-k*p.x-p.y)/2.0;
// p.x -= clamp( p.x, -2.0, 0.0 );
// float d1 = length(p.xy)*sign(-p.y)*h.x;
// float d2 = abs(p.z)-h.y;
// return length(max(float2(d1,d2),0.0)) + min(max(d1,d2), 0.);
// }
#endif
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A list of useful distance function to simple primitives. All these functions (except for ellipsoid) return an exact euclidean distance, meaning they produce a better SDF than what you'd get if you were constructing them from boolean operations (such as cutting an infinite cylinder with two planes).
List of other 3D SDFs: https://www.shadertoy.com/playlist/43cXRl and http://iquilezles.org/www/articles/distfunctions/distfunctions.htm
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