2010-09-26 08:25:47 +04:00
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// sphere flake bvh raytracer (c) 2005, thierry berger-perrin <tbptbp@gmail.com>
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// this code is released under the GNU Public License.
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// Emscripten changes: stdlib.h, some printf stuff, SIZE
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#include <cmath> // see http://ompf.org/ray/sphereflake/
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#include <iostream> // compile with ie g++ -O2 -ffast-math sphereflake.cc
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2011-10-08 08:16:26 +04:00
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#include <stdio.h>
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2010-09-26 08:25:47 +04:00
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#include <stdlib.h>
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2011-06-12 00:52:03 +04:00
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//#include "emscripten.h"
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2010-09-26 08:25:47 +04:00
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#define GIMME_SHADOWS // usage: ./sphereflake [lvl=6] >pix.ppm
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enum { childs = 9, ss= 2, ss_sqr = ss*ss }; /* not really tweakable anymore */
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static const double infinity = 1./0, epsilon = 1e-12;
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struct v_t{ double x,y,z;v_t(){}
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v_t(const double a,const double b,const double c):x(a),y(b),z(c){}
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v_t operator+(const v_t&v)const{return v_t(x+v.x,y+v.y,z+v.z);}
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v_t operator-(const v_t&v)const{return v_t(x-v.x,y-v.y,z-v.z);}
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v_t operator-()const{return v_t(-x,-y,-z);}
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v_t operator*(const double d)const{return v_t(x*d,y*d,z*d);}
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v_t cross(const v_t&v)const{return v_t(y*v.z-z*v.y,z*v.x-x*v.z,x*v.y-y*v.x);}
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v_t norm()const{return*this*(1./sqrt(magsqr()));}
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double dot(const v_t&v)const{return x*v.x+y*v.y+z*v.z;}
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double magsqr()const{return dot(*this);}
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};
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//static const v_t light(v_t(0.5,-.95,1.775).norm()); /*pick one*/
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static const v_t light(v_t(-0.5,-.65,.9).norm()); /*fiat lux*/
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struct ray_t{
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v_t o,d;
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ray_t(const v_t&v):o(v){}
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ray_t(const v_t&v,const v_t&w):o(v),d(w){}
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};
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struct hit_t {
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v_t n;
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double t;
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hit_t():n(v_t(0,0,0)),t(infinity){}
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};
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struct sphere_t{
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v_t o;
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double r;
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sphere_t(){}
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sphere_t(const v_t&v,double d):o(v),r(d){}
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v_t get_normal(const v_t&v)const{return(v-o)*(1./r);}
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double intersect(const ray_t&ray)const{
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const v_t v(o-ray.o); const double b=ray.d.dot(v),disc=b*b-v.magsqr()+r*r;
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if(disc < 0.)
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return infinity; /*branch away from the square root*/
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const double d=sqrt(disc), t2=b+d, t1=b-d; /*cond. move*/
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if(t2 < 0.)
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return infinity;
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else
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return(t1 > 0.? t1 : t2);
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}
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};
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struct node_t;
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static node_t *pool=0, *end=0;
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struct node_t { /*a bvh in array form+skip for navigation.*/
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sphere_t bound,leaf;
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long diff;/*far from optimal*/
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node_t(){} node_t(const sphere_t&b,const sphere_t&l,const long jump) :bound(b),leaf(l),diff(jump){}
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template<bool shadow> static void intersect(const ray_t &ray,hit_t &hit){
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const node_t*p=pool;
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while(p < end) {
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if(p->bound.intersect(ray)>=hit.t) /*missed bound*/
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p+=p->diff; /*skip subtree*/
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else{
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const double t=p->leaf.intersect(ray);
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if(t < hit.t) { /*if hit, update, then break for shadows*/
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hit.t=t;
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if(shadow) break;
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hit.n=p->leaf.get_normal(ray.o+ray.d*t);
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}
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++p; /*next!*/
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}
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}
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}
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};
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static double ray_trace(const node_t*const scene,const ray_t&ray) {
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hit_t hit;
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scene->intersect<false>(ray,hit);// trace primary
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const double diffuse = hit.t==infinity ? 0. : -hit.n.dot(light);
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#ifdef GIMME_SHADOWS
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if (diffuse <= 0.)
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return 0.;
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const ray_t sray(ray.o+(ray.d*hit.t)+(hit.n*epsilon),-light);
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hit_t shit;
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scene->intersect<true>(sray,shit);// trace shadow
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return shit.t==infinity ? diffuse : 0.;
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#else
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return diffuse > 0. ? diffuse : 0.;
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#endif
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}
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static const double grid[ss_sqr][2]={ /*our rotated grid*/
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{-3/3.,-1/3.},{+1/3.,-3/3.},
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{-1/3.,+3/3.},{+3/3.,+1/3.}
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};
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static void trace_rgss(const int width,const int height) {
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const double w=width,h=height,rcp=1/double(ss),scale=256./double(ss_sqr);
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ray_t ray(v_t(0,0,-4.5)); /* eye, looking into Z */
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v_t rgss[ss_sqr];
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for(int i=0;i<ss_sqr;++i) /*precomp.*/ {
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rgss[i]=v_t(grid[i][0]*rcp-w/2.,grid[i][1]*rcp-h/2.,0);
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}
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v_t scan(0,w-1,std::max(w,h)); /*scan line*/
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for(int i=height;i;--i) {
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2011-11-06 01:21:25 +04:00
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int lineMean = 0;
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2010-09-26 08:25:47 +04:00
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for(int j=width;j;--j) {
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double g=0;
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for(int idx=0;idx < ss_sqr;++idx){ /*AA*/
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ray.d=(scan+rgss[idx]).norm();
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g+=ray_trace(pool,ray); /*trace*/
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}
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2011-11-06 01:21:25 +04:00
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lineMean += int(scale*g);
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2010-09-26 08:25:47 +04:00
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scan.x+=1; /*next pixel*/
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}
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2011-11-06 01:21:25 +04:00
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printf("%d : %d\n", i, lineMean/width);
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2010-09-26 08:25:47 +04:00
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scan.x=0;scan.y-=1; /*next line*/
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}
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}
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struct basis_t{ /* bogus and compact, exactly what we need */
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v_t up,b1,b2;
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basis_t(const v_t&v){ const v_t n(v.norm());
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if ((n.x*n.x !=1.)&(n.y*n.y !=1.)&(n.z*n.z !=1.)) {/*cough*/
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b1=n;
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if(n.y*n.y>n.x*n.x) {
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if(n.y*n.y>n.z*n.z)
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b1.y=-b1.y;
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else b1.z=-b1.z;
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}
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else if(n.z*n.z > n.x*n.x)
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b1.z=-b1.z;
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else b1.x=-b1.x;
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}
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else
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b1=v_t(n.z,n.x,n.y);/*leaves some cases out,dodge them*/
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up=n;
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b2=up.cross(b1);
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b1=up.cross(b2);
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}
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};
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static node_t *create(node_t*n,const int lvl,int dist,v_t c,v_t d,double r) {
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n = 1 + new (n) node_t(sphere_t(c,2.*r),sphere_t(c,r), lvl > 1 ? dist : 1);
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if (lvl <= 1)
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return n; /*if not at the bottom, recurse a bit more*/
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dist=std::max((dist-childs)/childs,1); const basis_t b(d);
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const double nr=r*1/3.,daL=2.*M_PI/6.,daU=2.*M_PI/3.; double a=0;
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for(int i=0;i<6;++i){ /*lower ring*/
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const v_t ndir((d*-.2+b.b1*sin(a)+b.b2*cos(a)).norm()); /*transcendentals?!*/
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n=create(n,lvl-1,dist,c+ndir*(r+nr),ndir,nr);
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a+=daL;
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}
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a-=daL/3.;/*tweak*/
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for(int i=0;i<3;++i){ /*upper ring*/
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const v_t ndir((d*+.6+b.b1*sin(a)+b.b2*cos(a)).norm());
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n=create(n,lvl-1,dist,c+ndir*(r+nr),ndir,nr); a+=daU;
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}
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return n;
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}
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int main(int argc,char*argv[]){
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2010-10-10 03:54:23 +04:00
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const int lvl=atoi(argv[1]);
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const int size=atoi(argv[2]);
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2010-09-26 08:25:47 +04:00
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int count=childs, dec=lvl;
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while(--dec > 1) count=(count*childs)+childs;
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++count;
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pool=new node_t[count]; /* raw */
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end=pool+count;
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create(pool,lvl,count,v_t(0,0,0),v_t(+.25,+1,-.5).norm(),1.); /* cooked */
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2011-10-08 08:16:26 +04:00
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printf("P2\n%d %d\n%d\n", size, size, size); // std::cout << "P2\n" << size << " " << size << "\n" << size << "\n";
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2010-10-10 03:54:23 +04:00
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trace_rgss(size, size); /* served */
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2010-09-26 08:25:47 +04:00
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return 0;
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}
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