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zpkutils.cpp
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#include "zpkutils.h"
namespace zpk {
/*
* @brief local function
*
*/
void zpk2D(zpk::Point3D*& zpkarr, unsigned m, unsigned ban, Point3D& p, int xsign, int ysign)
{
switch(ban)
{
case 1:
if (m>2) zpk2D(zpkarr, m/2,2, p, xsign, ysign);
zpkarr->x = p.x; zpkarr->y = p.y; ++zpkarr;
p.y+=ysign;
if (m>2) zpk2D(zpkarr, m/2,1, p, xsign, ysign);
zpkarr->x = p.x; zpkarr->y = p.y; ++zpkarr;
p.x+=xsign;
if (m>2) zpk2D(zpkarr, m/2,1, p, xsign, ysign);
zpkarr->x = p.x; zpkarr->y = p.y; ++zpkarr;
p.y-=ysign;
if (m>2) zpk2D(zpkarr, m/2,2, p, -xsign, -ysign);
zpkarr->x = p.x; zpkarr->y = p.y;
break;
case 2:
if (m>2) zpk2D(zpkarr, m/2,1, p, xsign, ysign);
zpkarr->x = p.x; zpkarr->y = p.y; ++zpkarr;
p.x+=xsign;
if (m>2) zpk2D(zpkarr, m/2,2, p, xsign, ysign);
zpkarr->x = p.x; zpkarr->y = p.y; ++zpkarr;
p.y+=ysign;
if (m>2) zpk2D(zpkarr, m/2,2, p, xsign, ysign);
zpkarr->x = p.x; zpkarr->y = p.y; ++zpkarr;
p.x-=xsign;
if (m>2) zpk2D(zpkarr, m/2,1, p, -xsign, -ysign);
zpkarr->x = p.x; zpkarr->y = p.y;
break;
}
}
void zpk3D(zpk::Point3D*& zpkarr, unsigned m, unsigned ban, Point3D& p, int xsign, int ysign, int zsign)
{
switch(ban)
{
case 1:
if (m>2) zpk3D(zpkarr, m/2,6, p, -xsign, -ysign, zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.z+=zsign;
if (m>2) zpk3D(zpkarr, m/2,3, p, xsign, ysign, zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.x+=xsign;
if (m>2) zpk3D(zpkarr, m/2,3, p, xsign, ysign, zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.z-=zsign;
if (m>2) zpk3D(zpkarr, m/2,5, p, -xsign, ysign, -zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.y+=ysign;
if (m>2) zpk3D(zpkarr, m/2,5, p, -xsign, ysign, -zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.z+=zsign;
if (m>2) zpk3D(zpkarr, m/2,3, p, -xsign, -ysign, zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.x-=xsign;
if (m>2) zpk3D(zpkarr, m/2,3, p, -xsign, -ysign, zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.z-=zsign;
if (m>2) zpk3D(zpkarr, m/2,6, p, -xsign, ysign, -zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z;
break;
case 2:
if (m>2) zpk3D(zpkarr, m/2,5, p, xsign, ysign, zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.y+=ysign;
if (m>2) zpk3D(zpkarr, m/2,4, p, -xsign, -ysign, zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.x+=xsign;
if (m>2) zpk3D(zpkarr, m/2,4, p, -xsign, -ysign, zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.y-=ysign;
if (m>2) zpk3D(zpkarr, m/2,6, p, xsign, ysign, zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.z+=zsign;
if (m>2) zpk3D(zpkarr, m/2,6, p, xsign, ysign, zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.y+=ysign;
if (m>2) zpk3D(zpkarr, m/2,4, p, xsign, -ysign, -zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.x-=xsign;
if (m>2) zpk3D(zpkarr, m/2,4, p, xsign, -ysign, -zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.y-=ysign;
if (m>2) zpk3D(zpkarr, m/2,5, p, xsign, -ysign, -zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z;
break;
case 3:
if (m>2) zpk3D(zpkarr, m/2,1, p, xsign, ysign, zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.y+=ysign;
if (m>2) zpk3D(zpkarr, m/2,6, p, -xsign, -ysign, zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.z+=zsign;
if (m>2) zpk3D(zpkarr, m/2,6, p, -xsign, -ysign, zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.y-=ysign;
if (m>2) zpk3D(zpkarr, m/2,4, p, -xsign, ysign, -zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.x+=xsign;
if (m>2) zpk3D(zpkarr, m/2,4, p, -xsign, ysign, -zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.y+=ysign;
if (m>2) zpk3D(zpkarr, m/2,6, p, xsign, -ysign, -zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.z-=zsign;
if (m>2) zpk3D(zpkarr, m/2,6, p, xsign, -ysign, -zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.y-=ysign;
if (m>2) zpk3D(zpkarr, m/2,1, p, -xsign, -ysign, zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z;
break;
case 4:
if (m>2) zpk3D(zpkarr, m/2,2, p, -xsign, -ysign, zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.z+=zsign;
if (m>2) zpk3D(zpkarr, m/2,5, p, -xsign, -ysign, zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.y-=ysign;
if (m>2) zpk3D(zpkarr, m/2,5, p, -xsign, -ysign, zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.z-=zsign;
if (m>2) zpk3D(zpkarr, m/2,3, p, -xsign, ysign, -zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.x-=xsign;
if (m>2) zpk3D(zpkarr, m/2,3, p, -xsign, ysign, -zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.z+=zsign;
if (m>2) zpk3D(zpkarr, m/2,5, p, xsign, ysign, zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.y+=ysign;
if (m>2) zpk3D(zpkarr, m/2,5, p, xsign, ysign, zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.z-=zsign;
if (m>2) zpk3D(zpkarr, m/2,2, p, xsign, -ysign, -zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z;
break;
case 5:
if (m>2) zpk3D(zpkarr, m/2,4, p, -xsign, -ysign, zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.x+=xsign;
if (m>2) zpk3D(zpkarr, m/2,2, p, xsign, ysign, zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.z+=zsign;
if (m>2) zpk3D(zpkarr, m/2,2, p, xsign, ysign, zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.x-=xsign;
if (m>2) zpk3D(zpkarr, m/2,1, p, -xsign, ysign, -zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.y+=ysign;
if (m>2) zpk3D(zpkarr, m/2,1, p, -xsign, ysign, -zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.x+=xsign;
if (m>2) zpk3D(zpkarr, m/2,2, p, xsign, -ysign, -zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.z-=zsign;
if (m>2) zpk3D(zpkarr, m/2,2, p, xsign, -ysign, -zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.x-=xsign;
if (m>2) zpk3D(zpkarr, m/2,4, p, xsign, ysign, zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z;
break;
case 6:
if (m>2) zpk3D(zpkarr, m/2,3, p, -xsign, -ysign, zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.x-=xsign;
if (m>2) zpk3D(zpkarr, m/2,1, p, -xsign, -ysign, zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.y-=ysign;
if (m>2) zpk3D(zpkarr, m/2,1, p, -xsign, -ysign, zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.x+=xsign;
if (m>2) zpk3D(zpkarr, m/2,2, p, xsign, ysign, zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.z+=zsign;
if (m>2) zpk3D(zpkarr, m/2,2, p, xsign, ysign, zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.x-=xsign;
if (m>2) zpk3D(zpkarr, m/2,1, p, -xsign, ysign, -zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.y+=ysign;
if (m>2) zpk3D(zpkarr, m/2,1, p, -xsign, ysign, -zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z; ++zpkarr;
p.x+=xsign;
if (m>2) zpk3D(zpkarr, m/2,3, p, xsign, -ysign, -zsign);
zpkarr->x = p.x; zpkarr->y = p.y; zpkarr->z = p.z;
break;
default: break;
}
}
void zpk(std::vector<zpk::Point3D> & zpk, Dim d, unsigned m, unsigned ban, int xsign, int ysign, int zsign)
{
Point3D p(0.0, 0.0, 0.0);
Point3D* zpkarr = &zpk[0];
if (zpk::D2D==d)
zpk2D(zpkarr, m, ban, p, xsign, ysign);
else
zpk3D(zpkarr, m, ban, p, xsign, ysign, zsign);
}
// interface functions
int getNumberOfPointsForIteration(int iteration, Dim d)
{
if (D2D==d)
return (1<<(2*iteration));
return (1<<(3*iteration));
}
std::auto_ptr<std::vector<Point3D> > getUnityCube(int iteration, Dim d)
{
if (iteration<=0)
return std::auto_ptr<std::vector<Point3D> >(0);
unsigned N = 1<<iteration;
unsigned ND = d==D3D?N*N*N:N*N;
std::vector<Point3D> *points = new std::vector<Point3D>(ND);
if (0==points)
return std::auto_ptr<std::vector<Point3D> >(0);
zpk(*points, d, N, 1, 1,1,1);
for (std::vector<Point3D>::iterator it=points->begin(),itend=points->end(); it!=itend; ++it)
{
it->x/= (N-1);
it->y/= (N-1);
if (d==zpk::D3D)
it->z/= (N-1);
else
it->z = 0.5;
}
return std::auto_ptr<std::vector<Point3D> >(points);
}
}