Supplemental Material: Path Space Regularization for Holistic and Robust Light Transport

#include // smallpt, a Path Tracer by Kevin Beason, 2008 #include // Make : g++ -O3 -fopenmp smallpt.cpp -o smallpt #include //Note typedef struct Vec { // Usage: time ./explicit 16 && xv image.ppm double x, y, z; // position, also color (r,g,b) Vec(double x_=0, double y_=0, double z_=0){ x=x_; y=y_; z=z_; } Vec operator+(const Vec &b;) const { return Vec(x+b.x,y+b.y,z+b.z); } Vec operator-(const Vec &b;) const { return Vec(x-b.x,y-b.y,z-b.z); } Vec operator*(double b) const { return Vec(x*b,y*b,z*b); } Vec mult(const Vec &b;) const { return Vec(x*b.x,y*b.y,z*b.z); } Vec& norm(){ return *this = *this * (1/sqrt(x*x+y*y+z*z)); } double dot(const Vec &b;) const { return x*b.x+y*b.y+z*b.z; } // cross: Vec operator%(Vec&b;){return Vec(y*b.z-z*b.y,z*b.x-x*b.z,x*b.y-y*b.x);} } const cVec; struct Ray { Vec o, d; Ray(Vec o_, Vec d_) : o(o_), d(d_) {} }; enum Refl_t { DIFF, SPEC, REFR }; // material types, used in radiance() struct Sphere { double rad; // radius Vec p, e, c; // position, emission, color Refl_t refl; // reflection type (DIFFuse, SPECular, REFRactive) Sphere(double rad_, Vec p_, Vec e_, Vec c_, Refl_t refl_): rad(rad_), p(p_), e(e_), c(c_), refl(refl_) {} double intersect(const Ray &r;) const { // returns distance, 0 if nohit Vec op = p-r.o; // Solve t^2*d.d + 2*t*(o-p).d + (o-p).(o-p)-R^2 = 0 double t, eps=1e-4, b=op.dot(r.d), det=b*b-op.dot(op)+rad*rad; if (det<0) return 0; else det=sqrt(det); return (t=b-det)>eps ? t : ((t=b+det)>eps ? t : 0); } }; Sphere spheres[] = {//Scene: radius, position, emission, color, material Sphere(1e5, Vec( 1e5+1,40.8,81.6), Vec(),Vec(.75,.25,.25),DIFF),//Left Sphere(1e5, Vec(-1e5+99,40.8,81.6),Vec(),Vec(.25,.25,.75),DIFF),//Rght Sphere(1e5, Vec(50,40.8, 1e5), Vec(),Vec(.75,.75,.75),DIFF),//Back Sphere(1e5, Vec(50,40.8,-1e5+170), Vec(),Vec(), DIFF),//Frnt Sphere(1e5, Vec(50, 1e5, 81.6), Vec(),Vec(.75,.75,.75),DIFF),//Botm Sphere(1e5, Vec(50,-1e5+81.6,81.6),Vec(),Vec(.75,.75,.75),DIFF),//Top Sphere(16.5,Vec(27,16.5,47), Vec(),Vec(1,1,1)*.999, SPEC),//Mirr Sphere(16.5,Vec(73,16.5,78), Vec(),Vec(1,1,1)*.999, REFR),//Glas