#define EPSILON 0.000001
#define CROSS(dest,v1,v2) \
dest[0]=v1[1]*v2[2]-v1[2]*v2[1]; \
dest[1]=v1[2]*v2[0]-v1[0]*v2[2]; \
dest[2]=v1[0]*v2[1]-v1[1]*v2[0];
#define DOT(v1,v2) (v1[0]*v2[0]+v1[1]*v2[1]+v1[2]*v2[2])
#define SUB(dest,v1,v2)
dest[0]=v1[0]-v2[0]; \
dest[1]=v1[1]-v2[1]; \
dest[2]=v1[2]-v2[2];
int
intersect_triangle(double orig[3], double dir[3],
double vert0[3], double vert1[3], double vert2[3],
double *t, double *u, double *v)
{
double edge1[3], edge2[3], tvec[3], pvec[3], qvec[3];
double det,inv_det;
/* find vectors for two edges sharing vert0 */
SUB(edge1, vert1, vert0);
SUB(edge2, vert2, vert0);
/* begin calculating determinant - also used to calculate U parameter */
CROSS(pvec, dir, edge2);
/* if determinant is near zero, ray lies in plane of triangle */
det = DOT(edge1, pvec);
#ifdef TEST_CULL /* define TEST_CULL if culling is desired */
if (det < EPSILON)
return 0;
/* calculate distance from vert0 to ray origin */
SUB(tvec, orig, vert0);
/* calculate U parameter and test bounds */
*u = DOT(tvec, pvec);
if (*u < 0.0 || *u > det)
return 0;
/* prepare to test V parameter */
CROSS(qvec, tvec, edge1);
/* calculate V parameter and test bounds */
*v = DOT(dir, qvec);
if (*v < 0.0 || *u + *v > det)
return 0;
/* calculate t, scale parameters, ray intersects triangle */
*t = DOT(edge2, qvec);
inv_det = 1.0 / det;
*t *= inv_det;
*u *= inv_det;
*v *= inv_det;
#else /* the non-culling branch */
if (det > -EPSILON && det < EPSILON)
return 0;
inv_det = 1.0 / det;
/* calculate distance from vert0 to ray origin */
SUB(tvec, orig, vert0);
/* calculate U parameter and test bounds */
*u = DOT(tvec, pvec) * inv_det;
if (*u < 0.0 || *u > 1.0)
return 0;
/* prepare to test V parameter */
CROSS(qvec, tvec, edge1);
/* calculate V parameter and test bounds */
*v = DOT(dir, qvec) * inv_det;
if (*v < 0.0 || *u + *v > 1.0)
return 0;
/* calculate t, ray intersects triangle */
*t = DOT(edge2, qvec) * inv_det;
#endif
return 1;
}