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slopeint_div.cpp
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/******************************************************************************
This source code accompanies the Journal of Graphics Tools paper:
"Fast Ray / Axis-Aligned Bounding Box Overlap Tests using Ray Slopes"
by Martin Eisemann, Thorsten Grosch, Stefan Müller and Marcus Magnor
Computer Graphics Lab, TU Braunschweig, Germany and
University of Koblenz-Landau, Germany
This source code is public domain, but please mention us if you use it.
******************************************************************************/
#include "slopeint_div.h"
bool slopeint_div(ray *r, aabox *b, float *t){
switch (r->classification)
{
case MMM:
{
if ((r->x < b->x0) || (r->y < b->y0) || (r->z < b->z0)
|| (r->jbyi * b->x0 - b->y1 + r->c_xy > 0)
|| (r->ibyj * b->y0 - b->x1 + r->c_yx > 0)
|| (r->jbyk * b->z0 - b->y1 + r->c_zy > 0)
|| (r->kbyj * b->y0 - b->z1 + r->c_yz > 0)
|| (r->kbyi * b->x0 - b->z1 + r->c_xz > 0)
|| (r->ibyk * b->z0 - b->x1 + r->c_zx > 0)
)
return false;
*t = (b->x1 - r->x) / r->i;
float t1 = (b->y1 - r->y) / r->j;
if(t1 > *t)
*t = t1;
float t2 = (b->z1 - r->z) / r->k;
if(t2 > *t)
*t = t2;
return true;
}
case MMP:
{
if ((r->x < b->x0) || (r->y < b->y0) || (r->z > b->z1)
|| (r->jbyi * b->x0 - b->y1 + r->c_xy > 0)
|| (r->ibyj * b->y0 - b->x1 + r->c_yx > 0)
|| (r->jbyk * b->z1 - b->y1 + r->c_zy > 0)
|| (r->kbyj * b->y0 - b->z0 + r->c_yz < 0)
|| (r->kbyi * b->x0 - b->z0 + r->c_xz < 0)
|| (r->ibyk * b->z1 - b->x1 + r->c_zx > 0)
)
return false;
*t = (b->x1 - r->x) / r->i;
float t1 = (b->y1 - r->y) / r->j;
if(t1 > *t)
*t = t1;
float t2 = (b->z0 - r->z) / r->k;
if(t2 > *t)
*t = t2;
return true;
}
case MPM:
{
if ((r->x < b->x0) || (r->y > b->y1) || (r->z < b->z0)
|| (r->jbyi * b->x0 - b->y0 + r->c_xy < 0)
|| (r->ibyj * b->y1 - b->x1 + r->c_yx > 0)
|| (r->jbyk * b->z0 - b->y0 + r->c_zy < 0)
|| (r->kbyj * b->y1 - b->z1 + r->c_yz > 0)
|| (r->kbyi * b->x0 - b->z1 + r->c_xz > 0)
|| (r->ibyk * b->z0 - b->x1 + r->c_zx > 0)
)
return false;
*t = (b->x1 - r->x) / r->i;
float t1 = (b->y0 - r->y) / r->j;
if(t1 > *t)
*t = t1;
float t2 = (b->z1 - r->z) / r->k;
if(t2 > *t)
*t = t2;
return true;
}
case MPP:
{
if ((r->x < b->x0) || (r->y > b->y1) || (r->z > b->z1)
|| (r->jbyi * b->x0 - b->y0 + r->c_xy < 0)
|| (r->ibyj * b->y1 - b->x1 + r->c_yx > 0)
|| (r->jbyk * b->z1 - b->y0 + r->c_zy < 0)
|| (r->kbyj * b->y1 - b->z0 + r->c_yz < 0)
|| (r->kbyi * b->x0 - b->z0 + r->c_xz < 0)
|| (r->ibyk * b->z1 - b->x1 + r->c_zx > 0)
)
return false;
*t = (b->x1 - r->x) / r->i;
float t1 = (b->y0 - r->y) / r->j;
if(t1 > *t)
*t = t1;
float t2 = (b->z0 - r->z) / r->k;
if(t2 > *t)
*t = t2;
return true;
}
case PMM:
{
if ((r->x > b->x1) || (r->y < b->y0) || (r->z < b->z0)
|| (r->jbyi * b->x1 - b->y1 + r->c_xy > 0)
|| (r->ibyj * b->y0 - b->x0 + r->c_yx < 0)
|| (r->jbyk * b->z0 - b->y1 + r->c_zy > 0)
|| (r->kbyj * b->y0 - b->z1 + r->c_yz > 0)
|| (r->kbyi * b->x1 - b->z1 + r->c_xz > 0)
|| (r->ibyk * b->z0 - b->x0 + r->c_zx < 0)
)
return false;
*t = (b->x0 - r->x) / r->i;
float t1 = (b->y1 - r->y) / r->j;
if(t1 > *t)
*t = t1;
float t2 = (b->z1 - r->z) / r->k;
if(t2 > *t)
*t = t2;
return true;
}
case PMP:
{
if ((r->x > b->x1) || (r->y < b->y0) || (r->z > b->z1)
|| (r->jbyi * b->x1 - b->y1 + r->c_xy > 0)
|| (r->ibyj * b->y0 - b->x0 + r->c_yx < 0)
|| (r->jbyk * b->z1 - b->y1 + r->c_zy > 0)
|| (r->kbyj * b->y0 - b->z0 + r->c_yz < 0)
|| (r->kbyi * b->x1 - b->z0 + r->c_xz < 0)
|| (r->ibyk * b->z1 - b->x0 + r->c_zx < 0)
)
return false;
*t = (b->x0 - r->x) / r->i;
float t1 = (b->y1 - r->y) / r->j;
if(t1 > *t)
*t = t1;
float t2 = (b->z0 - r->z) / r->k;
if(t2 > *t)
*t = t2;
return true;
}
case PPM:
{
if ((r->x > b->x1) || (r->y > b->y1) || (r->z < b->z0)
|| (r->jbyi * b->x1 - b->y0 + r->c_xy < 0)
|| (r->ibyj * b->y1 - b->x0 + r->c_yx < 0)
|| (r->jbyk * b->z0 - b->y0 + r->c_zy < 0)
|| (r->kbyj * b->y1 - b->z1 + r->c_yz > 0)
|| (r->kbyi * b->x1 - b->z1 + r->c_xz > 0)
|| (r->ibyk * b->z0 - b->x0 + r->c_zx < 0)
)
return false;
*t = (b->x0 - r->x) / r->i;
float t1 = (b->y0 - r->y) / r->j;
if(t1 > *t)
*t = t1;
float t2 = (b->z1 - r->z) / r->k;
if(t2 > *t)
*t = t2;
return true;
}
case PPP:
{
if ((r->x > b->x1) || (r->y > b->y1) || (r->z > b->z1)
|| (r->jbyi * b->x1 - b->y0 + r->c_xy < 0)
|| (r->ibyj * b->y1 - b->x0 + r->c_yx < 0)
|| (r->jbyk * b->z1 - b->y0 + r->c_zy < 0)
|| (r->kbyj * b->y1 - b->z0 + r->c_yz < 0)
|| (r->kbyi * b->x1 - b->z0 + r->c_xz < 0)
|| (r->ibyk * b->z1 - b->x0 + r->c_zx < 0)
)
return false;
*t = (b->x0 - r->x) / r->i;
float t1 = (b->y0 - r->y) / r->j;
if(t1 > *t)
*t = t1;
float t2 = (b->z0 - r->z) / r->k;
if(t2 > *t)
*t = t2;
return true;
}
case OMM:
{
if((r->x < b->x0) || (r->x > b->x1)
|| (r->y < b->y0) || (r->z < b->z0)
|| (r->jbyk * b->z0 - b->y1 + r->c_zy > 0)
|| (r->kbyj * b->y0 - b->z1 + r->c_yz > 0)
)
return false;
*t = (b->y1 - r->y) / r->j;
float t2 = (b->z1 - r->z) / r->k;
if(t2 > *t)
*t = t2;
return true;
}
case OMP:
{
if((r->x < b->x0) || (r->x > b->x1)
|| (r->y < b->y0) || (r->z > b->z1)
|| (r->jbyk * b->z1 - b->y1 + r->c_zy > 0)
|| (r->kbyj * b->y0 - b->z0 + r->c_yz < 0)
)
return false;
*t = (b->y1 - r->y) / r->j;
float t2 = (b->z0 - r->z) / r->k;
if(t2 > *t)
*t = t2;
return true;
}
case OPM:
{
if((r->x < b->x0) || (r->x > b->x1)
|| (r->y > b->y1) || (r->z < b->z0)
|| (r->jbyk * b->z0 - b->y0 + r->c_zy < 0)
|| (r->kbyj * b->y1 - b->z1 + r->c_yz > 0)
)
return false;
*t = (b->y0 - r->y) / r->j;
float t2 = (b->z1 - r->z) / r->k;
if(t2 > *t)
*t = t2;
return true;
}
case OPP:
{
if((r->x < b->x0) || (r->x > b->x1)
|| (r->y > b->y1) || (r->z > b->z1)
|| (r->jbyk * b->z1 - b->y0 + r->c_zy < 0)
|| (r->kbyj * b->y1 - b->z0 + r->c_yz < 0)
)
return false;
*t = (b->y0 - r->y) / r->j;
float t2 = (b->z0 - r->z) / r->k;
if(t2 > *t)
*t = t2;
return true;
}
case MOM:
{
if((r->y < b->y0) || (r->y > b->y1)
|| (r->x < b->x0) || (r->z < b->z0)
|| (r->kbyi * b->x0 - b->z1 + r->c_xz > 0)
|| (r->ibyk * b->z0 - b->x1 + r->c_zx > 0)
)
return false;
*t = (b->x1 - r->x) / r->i;
float t2 = (b->z1 - r->z) / r->k;
if(t2 > *t)
*t = t2;
return true;
}
case MOP:
{
if((r->y < b->y0) || (r->y > b->y1)
|| (r->x < b->x0) || (r->z > b->z1)
|| (r->kbyi * b->x0 - b->z0 + r->c_xz < 0)
|| (r->ibyk * b->z1 - b->x1 + r->c_zx > 0)
)
return false;
*t = (b->x1 - r->x) / r->i;
float t2 = (b->z0 - r->z) / r->k;
if(t2 > *t)
*t = t2;
return true;
}
case POM:
{
if((r->y < b->y0) || (r->y > b->y1)
|| (r->x > b->x1) || (r->z < b->z0)
|| (r->kbyi * b->x1 - b->z1 + r->c_xz > 0)
|| (r->ibyk * b->z0 - b->x0 + r->c_zx < 0)
)
return false;
*t = (b->x0 - r->x) / r->i;
float t2 = (b->z1 - r->z) / r->k;
if(t2 > *t)
*t = t2;
return true;
}
case POP:
{
if((r->y < b->y0) || (r->y > b->y1)
|| (r->x > b->x1) || (r->z > b->z1)
|| (r->kbyi * b->x1 - b->z0 + r->c_xz < 0)
|| (r->ibyk * b->z1 - b->x0 + r->c_zx < 0)
)
return false;
*t = (b->x0 - r->x) / r->i;
float t2 = (b->z0 - r->z) / r->k;
if(t2 > *t)
*t = t2;
return true;
}
case MMO:
{
if((r->z < b->z0) || (r->z > b->z1)
|| (r->x < b->x0) || (r->y < b->y0)
|| (r->jbyi * b->x0 - b->y1 + r->c_xy > 0)
|| (r->ibyj * b->y0 - b->x1 + r->c_yx > 0)
)
return false;
*t = (b->x1 - r->x) / r->i;
float t1 = (b->y1 - r->y) / r->j;
if(t1 > *t)
*t = t1;
return true;
}
case MPO:
{
if((r->z < b->z0) || (r->z > b->z1)
|| (r->x < b->x0) || (r->y > b->y1)
|| (r->jbyi * b->x0 - b->y0 + r->c_xy < 0)
|| (r->ibyj * b->y1 - b->x1 + r->c_yx > 0)
)
return false;
*t = (b->x1 - r->x) / r->i;
float t1 = (b->y0 - r->y) / r->j;
if(t1 > *t)
*t = t1;
return true;
}
case PMO:
{
if((r->z < b->z0) || (r->z > b->z1)
|| (r->x > b->x1) || (r->y < b->y0)
|| (r->jbyi * b->x1 - b->y1 + r->c_xy > 0)
|| (r->ibyj * b->y0 - b->x0 + r->c_yx < 0)
)
return false;
*t = (b->x0 - r->x) / r->i;
float t1 = (b->y1 - r->y) / r->j;
if(t1 > *t)
*t = t1;
return true;
}
case PPO:
{
if((r->z < b->z0) || (r->z > b->z1)
|| (r->x > b->x1) || (r->y > b->y1)
|| (r->jbyi * b->x1 - b->y0 + r->c_xy < 0)
|| (r->ibyj * b->y1 - b->x0 + r->c_yx < 0)
)
return false;
*t = (b->x0 - r->x) / r->i;
float t1 = (b->y0 - r->y) / r->j;
if(t1 > *t)
*t = t1;
return true;
}
case MOO:
{
if((r->x < b->x0)
|| (r->y < b->y0) || (r->y > b->y1)
|| (r->z < b->z0) || (r->z > b->z1)
)
return false;
*t = (b->x1 - r->x) / r->i;
return true;
}
case POO:
{
if((r->x > b->x1)
|| (r->y < b->y0) || (r->y > b->y1)
|| (r->z < b->z0) || (r->z > b->z1)
)
return false;
*t = (b->x0 - r->x) / r->i;
return true;
}
case OMO:
{
if((r->y < b->y0)
|| (r->x < b->x0) || (r->x > b->x1)
|| (r->z < b->z0) || (r->z > b->z1)
)
return false;
*t = (b->y1 - r->y) / r->j;
return true;
}
case OPO:
{
if((r->y > b->y1)
|| (r->x < b->x0) || (r->x > b->x1)
|| (r->z < b->z0) || (r->z > b->z1)
)
return false;
*t = (b->y0 - r->y) / r->j;
return true;
}
case OOM:
{
if((r->z < b->z0)
|| (r->x < b->x0) || (r->x > b->x1)
|| (r->y < b->y0) || (r->y > b->y1)
)
return false;
*t = (b->z1 - r->z) / r->k;
return true;
}
case OOP:
{
if((r->z > b->z1)
|| (r->x < b->x0) || (r->x > b->x1)
|| (r->y < b->y0) || (r->y > b->y1)
)
return false;
*t = (b->z0 - r->z) / r->k;
return true;
}
}
return false;
}