diff options
Diffstat (limited to 'Opcode/OPC_TriBoxOverlap.h')
-rw-r--r-- | Opcode/OPC_TriBoxOverlap.h | 678 |
1 files changed, 339 insertions, 339 deletions
diff --git a/Opcode/OPC_TriBoxOverlap.h b/Opcode/OPC_TriBoxOverlap.h index 662a127..e32673b 100644 --- a/Opcode/OPC_TriBoxOverlap.h +++ b/Opcode/OPC_TriBoxOverlap.h @@ -1,339 +1,339 @@ -
-//! This macro quickly finds the min & max values among 3 variables
-#define FINDMINMAX(x0, x1, x2, min, max) \
- min = max = x0; \
- if(x1<min) min=x1; \
- if(x1>max) max=x1; \
- if(x2<min) min=x2; \
- if(x2>max) max=x2;
-
-//! TO BE DOCUMENTED
-inline_ BOOL planeBoxOverlap(const IcePoint& normal, const float d, const IcePoint& maxbox)
-{
- IcePoint vmin, vmax;
- for(udword q=0;q<=2;q++)
- {
- if(normal[q]>0.0f) { vmin[q]=-maxbox[q]; vmax[q]=maxbox[q]; }
- else { vmin[q]=maxbox[q]; vmax[q]=-maxbox[q]; }
- }
- if((normal|vmin)+d>0.0f) return FALSE;
- if((normal|vmax)+d>=0.0f) return TRUE;
-
- return FALSE;
-}
-
-//! TO BE DOCUMENTED
-#define AXISTEST_X01(a, b, fa, fb) \
- min = a*v0.y - b*v0.z; \
- max = a*v2.y - b*v2.z; \
- if(min>max) {const float tmp=max; max=min; min=tmp; } \
- rad = fa * extents.y + fb * extents.z; \
- if(min>rad || max<-rad) return FALSE;
-
-//! TO BE DOCUMENTED
-#define AXISTEST_X2(a, b, fa, fb) \
- min = a*v0.y - b*v0.z; \
- max = a*v1.y - b*v1.z; \
- if(min>max) {const float tmp=max; max=min; min=tmp; } \
- rad = fa * extents.y + fb * extents.z; \
- if(min>rad || max<-rad) return FALSE;
-
-//! TO BE DOCUMENTED
-#define AXISTEST_Y02(a, b, fa, fb) \
- min = b*v0.z - a*v0.x; \
- max = b*v2.z - a*v2.x; \
- if(min>max) {const float tmp=max; max=min; min=tmp; } \
- rad = fa * extents.x + fb * extents.z; \
- if(min>rad || max<-rad) return FALSE;
-
-//! TO BE DOCUMENTED
-#define AXISTEST_Y1(a, b, fa, fb) \
- min = b*v0.z - a*v0.x; \
- max = b*v1.z - a*v1.x; \
- if(min>max) {const float tmp=max; max=min; min=tmp; } \
- rad = fa * extents.x + fb * extents.z; \
- if(min>rad || max<-rad) return FALSE;
-
-//! TO BE DOCUMENTED
-#define AXISTEST_Z12(a, b, fa, fb) \
- min = a*v1.x - b*v1.y; \
- max = a*v2.x - b*v2.y; \
- if(min>max) {const float tmp=max; max=min; min=tmp; } \
- rad = fa * extents.x + fb * extents.y; \
- if(min>rad || max<-rad) return FALSE;
-
-//! TO BE DOCUMENTED
-#define AXISTEST_Z0(a, b, fa, fb) \
- min = a*v0.x - b*v0.y; \
- max = a*v1.x - b*v1.y; \
- if(min>max) {const float tmp=max; max=min; min=tmp; } \
- rad = fa * extents.x + fb * extents.y; \
- if(min>rad || max<-rad) return FALSE;
-
-// compute triangle edges
-// - edges lazy evaluated to take advantage of early exits
-// - fabs precomputed (half less work, possible since extents are always >0)
-// - customized macros to take advantage of the null component
-// - axis vector discarded, possibly saves useless movs
-#define IMPLEMENT_CLASS3_TESTS \
- float rad; \
- float min, max; \
- \
- const float fey0 = fabsf(e0.y); \
- const float fez0 = fabsf(e0.z); \
- AXISTEST_X01(e0.z, e0.y, fez0, fey0); \
- const float fex0 = fabsf(e0.x); \
- AXISTEST_Y02(e0.z, e0.x, fez0, fex0); \
- AXISTEST_Z12(e0.y, e0.x, fey0, fex0); \
- \
- const float fey1 = fabsf(e1.y); \
- const float fez1 = fabsf(e1.z); \
- AXISTEST_X01(e1.z, e1.y, fez1, fey1); \
- const float fex1 = fabsf(e1.x); \
- AXISTEST_Y02(e1.z, e1.x, fez1, fex1); \
- AXISTEST_Z0(e1.y, e1.x, fey1, fex1); \
- \
- const IcePoint e2 = mLeafVerts[0] - mLeafVerts[2]; \
- const float fey2 = fabsf(e2.y); \
- const float fez2 = fabsf(e2.z); \
- AXISTEST_X2(e2.z, e2.y, fez2, fey2); \
- const float fex2 = fabsf(e2.x); \
- AXISTEST_Y1(e2.z, e2.x, fez2, fex2); \
- AXISTEST_Z12(e2.y, e2.x, fey2, fex2);
-
-///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
-/**
- * Triangle-Box overlap test using the separating axis theorem.
- * This is the code from Tomas Möller, a bit optimized:
- * - with some more lazy evaluation (faster path on PC)
- * - with a tiny bit of assembly
- * - with "SAT-lite" applied if needed
- * - and perhaps with some more minor modifs...
- *
- * \param center [in] box center
- * \param extents [in] box extents
- * \return true if triangle & box overlap
- */
-///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
-inline_ BOOL AABBTreeCollider::TriBoxOverlap(const IcePoint& center, const IcePoint& extents)
-{
- // Stats
- mNbBVPrimTests++;
-
- // use separating axis theorem to test overlap between triangle and box
- // need to test for overlap in these directions:
- // 1) the {x,y,z}-directions (actually, since we use the AABB of the triangle
- // we do not even need to test these)
- // 2) normal of the triangle
- // 3) crossproduct(edge from tri, {x,y,z}-directin)
- // this gives 3x3=9 more tests
-
- // move everything so that the boxcenter is in (0,0,0)
- IcePoint v0, v1, v2;
- v0.x = mLeafVerts[0].x - center.x;
- v1.x = mLeafVerts[1].x - center.x;
- v2.x = mLeafVerts[2].x - center.x;
-
- // First, test overlap in the {x,y,z}-directions
-#ifdef OPC_USE_FCOMI
- // find min, max of the triangle in x-direction, and test for overlap in X
- if(FCMin3(v0.x, v1.x, v2.x)>extents.x) return FALSE;
- if(FCMax3(v0.x, v1.x, v2.x)<-extents.x) return FALSE;
-
- // same for Y
- v0.y = mLeafVerts[0].y - center.y;
- v1.y = mLeafVerts[1].y - center.y;
- v2.y = mLeafVerts[2].y - center.y;
-
- if(FCMin3(v0.y, v1.y, v2.y)>extents.y) return FALSE;
- if(FCMax3(v0.y, v1.y, v2.y)<-extents.y) return FALSE;
-
- // same for Z
- v0.z = mLeafVerts[0].z - center.z;
- v1.z = mLeafVerts[1].z - center.z;
- v2.z = mLeafVerts[2].z - center.z;
-
- if(FCMin3(v0.z, v1.z, v2.z)>extents.z) return FALSE;
- if(FCMax3(v0.z, v1.z, v2.z)<-extents.z) return FALSE;
-#else
- float min,max;
- // Find min, max of the triangle in x-direction, and test for overlap in X
- FINDMINMAX(v0.x, v1.x, v2.x, min, max);
- if(min>extents.x || max<-extents.x) return FALSE;
-
- // Same for Y
- v0.y = mLeafVerts[0].y - center.y;
- v1.y = mLeafVerts[1].y - center.y;
- v2.y = mLeafVerts[2].y - center.y;
-
- FINDMINMAX(v0.y, v1.y, v2.y, min, max);
- if(min>extents.y || max<-extents.y) return FALSE;
-
- // Same for Z
- v0.z = mLeafVerts[0].z - center.z;
- v1.z = mLeafVerts[1].z - center.z;
- v2.z = mLeafVerts[2].z - center.z;
-
- FINDMINMAX(v0.z, v1.z, v2.z, min, max);
- if(min>extents.z || max<-extents.z) return FALSE;
-#endif
- // 2) Test if the box intersects the plane of the triangle
- // compute plane equation of triangle: normal*x+d=0
- // ### could be precomputed since we use the same leaf triangle several times
- const IcePoint e0 = v1 - v0;
- const IcePoint e1 = v2 - v1;
- const IcePoint normal = e0 ^ e1;
- const float d = -normal|v0;
- if(!planeBoxOverlap(normal, d, extents)) return FALSE;
-
- // 3) "Class III" tests
- if(mFullPrimBoxTest)
- {
- IMPLEMENT_CLASS3_TESTS
- }
- return TRUE;
-}
-
-//! A dedicated version where the box is constant
-inline_ BOOL OBBCollider::TriBoxOverlap()
-{
- // Stats
- mNbVolumePrimTests++;
-
- // Hook
- const IcePoint& extents = mBoxExtents;
- const IcePoint& v0 = mLeafVerts[0];
- const IcePoint& v1 = mLeafVerts[1];
- const IcePoint& v2 = mLeafVerts[2];
-
- // use separating axis theorem to test overlap between triangle and box
- // need to test for overlap in these directions:
- // 1) the {x,y,z}-directions (actually, since we use the AABB of the triangle
- // we do not even need to test these)
- // 2) normal of the triangle
- // 3) crossproduct(edge from tri, {x,y,z}-directin)
- // this gives 3x3=9 more tests
-
- // Box center is already in (0,0,0)
-
- // First, test overlap in the {x,y,z}-directions
-#ifdef OPC_USE_FCOMI
- // find min, max of the triangle in x-direction, and test for overlap in X
- if(FCMin3(v0.x, v1.x, v2.x)>mBoxExtents.x) return FALSE;
- if(FCMax3(v0.x, v1.x, v2.x)<-mBoxExtents.x) return FALSE;
-
- if(FCMin3(v0.y, v1.y, v2.y)>mBoxExtents.y) return FALSE;
- if(FCMax3(v0.y, v1.y, v2.y)<-mBoxExtents.y) return FALSE;
-
- if(FCMin3(v0.z, v1.z, v2.z)>mBoxExtents.z) return FALSE;
- if(FCMax3(v0.z, v1.z, v2.z)<-mBoxExtents.z) return FALSE;
-#else
- float min,max;
- // Find min, max of the triangle in x-direction, and test for overlap in X
- FINDMINMAX(v0.x, v1.x, v2.x, min, max);
- if(min>mBoxExtents.x || max<-mBoxExtents.x) return FALSE;
-
- FINDMINMAX(v0.y, v1.y, v2.y, min, max);
- if(min>mBoxExtents.y || max<-mBoxExtents.y) return FALSE;
-
- FINDMINMAX(v0.z, v1.z, v2.z, min, max);
- if(min>mBoxExtents.z || max<-mBoxExtents.z) return FALSE;
-#endif
- // 2) Test if the box intersects the plane of the triangle
- // compute plane equation of triangle: normal*x+d=0
- // ### could be precomputed since we use the same leaf triangle several times
- const IcePoint e0 = v1 - v0;
- const IcePoint e1 = v2 - v1;
- const IcePoint normal = e0 ^ e1;
- const float d = -normal|v0;
- if(!planeBoxOverlap(normal, d, mBoxExtents)) return FALSE;
-
- // 3) "Class III" tests - here we always do full tests since the box is a primitive (not a BV)
- {
- IMPLEMENT_CLASS3_TESTS
- }
- return TRUE;
-}
-
-//! ...and another one, jeez
-inline_ BOOL AABBCollider::TriBoxOverlap()
-{
- // Stats
- mNbVolumePrimTests++;
-
- // Hook
- const IcePoint& center = mBox.mCenter;
- const IcePoint& extents = mBox.mExtents;
-
- // use separating axis theorem to test overlap between triangle and box
- // need to test for overlap in these directions:
- // 1) the {x,y,z}-directions (actually, since we use the AABB of the triangle
- // we do not even need to test these)
- // 2) normal of the triangle
- // 3) crossproduct(edge from tri, {x,y,z}-directin)
- // this gives 3x3=9 more tests
-
- // move everything so that the boxcenter is in (0,0,0)
- IcePoint v0, v1, v2;
- v0.x = mLeafVerts[0].x - center.x;
- v1.x = mLeafVerts[1].x - center.x;
- v2.x = mLeafVerts[2].x - center.x;
-
- // First, test overlap in the {x,y,z}-directions
-#ifdef OPC_USE_FCOMI
- // find min, max of the triangle in x-direction, and test for overlap in X
- if(FCMin3(v0.x, v1.x, v2.x)>extents.x) return FALSE;
- if(FCMax3(v0.x, v1.x, v2.x)<-extents.x) return FALSE;
-
- // same for Y
- v0.y = mLeafVerts[0].y - center.y;
- v1.y = mLeafVerts[1].y - center.y;
- v2.y = mLeafVerts[2].y - center.y;
-
- if(FCMin3(v0.y, v1.y, v2.y)>extents.y) return FALSE;
- if(FCMax3(v0.y, v1.y, v2.y)<-extents.y) return FALSE;
-
- // same for Z
- v0.z = mLeafVerts[0].z - center.z;
- v1.z = mLeafVerts[1].z - center.z;
- v2.z = mLeafVerts[2].z - center.z;
-
- if(FCMin3(v0.z, v1.z, v2.z)>extents.z) return FALSE;
- if(FCMax3(v0.z, v1.z, v2.z)<-extents.z) return FALSE;
-#else
- float min,max;
- // Find min, max of the triangle in x-direction, and test for overlap in X
- FINDMINMAX(v0.x, v1.x, v2.x, min, max);
- if(min>extents.x || max<-extents.x) return FALSE;
-
- // Same for Y
- v0.y = mLeafVerts[0].y - center.y;
- v1.y = mLeafVerts[1].y - center.y;
- v2.y = mLeafVerts[2].y - center.y;
-
- FINDMINMAX(v0.y, v1.y, v2.y, min, max);
- if(min>extents.y || max<-extents.y) return FALSE;
-
- // Same for Z
- v0.z = mLeafVerts[0].z - center.z;
- v1.z = mLeafVerts[1].z - center.z;
- v2.z = mLeafVerts[2].z - center.z;
-
- FINDMINMAX(v0.z, v1.z, v2.z, min, max);
- if(min>extents.z || max<-extents.z) return FALSE;
-#endif
- // 2) Test if the box intersects the plane of the triangle
- // compute plane equation of triangle: normal*x+d=0
- // ### could be precomputed since we use the same leaf triangle several times
- const IcePoint e0 = v1 - v0;
- const IcePoint e1 = v2 - v1;
- const IcePoint normal = e0 ^ e1;
- const float d = -normal|v0;
- if(!planeBoxOverlap(normal, d, extents)) return FALSE;
-
- // 3) "Class III" tests - here we always do full tests since the box is a primitive (not a BV)
- {
- IMPLEMENT_CLASS3_TESTS
- }
- return TRUE;
-}
+ +//! This macro quickly finds the min & max values among 3 variables +#define FINDMINMAX(x0, x1, x2, min, max) \ + min = max = x0; \ + if(x1<min) min=x1; \ + if(x1>max) max=x1; \ + if(x2<min) min=x2; \ + if(x2>max) max=x2; + +//! TO BE DOCUMENTED +inline_ BOOL planeBoxOverlap(const IcePoint& normal, const float d, const IcePoint& maxbox) +{ + IcePoint vmin, vmax; + for(udword q=0;q<=2;q++) + { + if(normal[q]>0.0f) { vmin[q]=-maxbox[q]; vmax[q]=maxbox[q]; } + else { vmin[q]=maxbox[q]; vmax[q]=-maxbox[q]; } + } + if((normal|vmin)+d>0.0f) return FALSE; + if((normal|vmax)+d>=0.0f) return TRUE; + + return FALSE; +} + +//! TO BE DOCUMENTED +#define AXISTEST_X01(a, b, fa, fb) \ + min = a*v0.y - b*v0.z; \ + max = a*v2.y - b*v2.z; \ + if(min>max) {const float tmp=max; max=min; min=tmp; } \ + rad = fa * extents.y + fb * extents.z; \ + if(min>rad || max<-rad) return FALSE; + +//! TO BE DOCUMENTED +#define AXISTEST_X2(a, b, fa, fb) \ + min = a*v0.y - b*v0.z; \ + max = a*v1.y - b*v1.z; \ + if(min>max) {const float tmp=max; max=min; min=tmp; } \ + rad = fa * extents.y + fb * extents.z; \ + if(min>rad || max<-rad) return FALSE; + +//! TO BE DOCUMENTED +#define AXISTEST_Y02(a, b, fa, fb) \ + min = b*v0.z - a*v0.x; \ + max = b*v2.z - a*v2.x; \ + if(min>max) {const float tmp=max; max=min; min=tmp; } \ + rad = fa * extents.x + fb * extents.z; \ + if(min>rad || max<-rad) return FALSE; + +//! TO BE DOCUMENTED +#define AXISTEST_Y1(a, b, fa, fb) \ + min = b*v0.z - a*v0.x; \ + max = b*v1.z - a*v1.x; \ + if(min>max) {const float tmp=max; max=min; min=tmp; } \ + rad = fa * extents.x + fb * extents.z; \ + if(min>rad || max<-rad) return FALSE; + +//! TO BE DOCUMENTED +#define AXISTEST_Z12(a, b, fa, fb) \ + min = a*v1.x - b*v1.y; \ + max = a*v2.x - b*v2.y; \ + if(min>max) {const float tmp=max; max=min; min=tmp; } \ + rad = fa * extents.x + fb * extents.y; \ + if(min>rad || max<-rad) return FALSE; + +//! TO BE DOCUMENTED +#define AXISTEST_Z0(a, b, fa, fb) \ + min = a*v0.x - b*v0.y; \ + max = a*v1.x - b*v1.y; \ + if(min>max) {const float tmp=max; max=min; min=tmp; } \ + rad = fa * extents.x + fb * extents.y; \ + if(min>rad || max<-rad) return FALSE; + +// compute triangle edges +// - edges lazy evaluated to take advantage of early exits +// - fabs precomputed (half less work, possible since extents are always >0) +// - customized macros to take advantage of the null component +// - axis vector discarded, possibly saves useless movs +#define IMPLEMENT_CLASS3_TESTS \ + float rad; \ + float min, max; \ + \ + const float fey0 = fabsf(e0.y); \ + const float fez0 = fabsf(e0.z); \ + AXISTEST_X01(e0.z, e0.y, fez0, fey0); \ + const float fex0 = fabsf(e0.x); \ + AXISTEST_Y02(e0.z, e0.x, fez0, fex0); \ + AXISTEST_Z12(e0.y, e0.x, fey0, fex0); \ + \ + const float fey1 = fabsf(e1.y); \ + const float fez1 = fabsf(e1.z); \ + AXISTEST_X01(e1.z, e1.y, fez1, fey1); \ + const float fex1 = fabsf(e1.x); \ + AXISTEST_Y02(e1.z, e1.x, fez1, fex1); \ + AXISTEST_Z0(e1.y, e1.x, fey1, fex1); \ + \ + const IcePoint e2 = mLeafVerts[0] - mLeafVerts[2]; \ + const float fey2 = fabsf(e2.y); \ + const float fez2 = fabsf(e2.z); \ + AXISTEST_X2(e2.z, e2.y, fez2, fey2); \ + const float fex2 = fabsf(e2.x); \ + AXISTEST_Y1(e2.z, e2.x, fez2, fex2); \ + AXISTEST_Z12(e2.y, e2.x, fey2, fex2); + +/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// +/** + * Triangle-Box overlap test using the separating axis theorem. + * This is the code from Tomas Möller, a bit optimized: + * - with some more lazy evaluation (faster path on PC) + * - with a tiny bit of assembly + * - with "SAT-lite" applied if needed + * - and perhaps with some more minor modifs... + * + * \param center [in] box center + * \param extents [in] box extents + * \return true if triangle & box overlap + */ +/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// +inline_ BOOL AABBTreeCollider::TriBoxOverlap(const IcePoint& center, const IcePoint& extents) +{ + // Stats + mNbBVPrimTests++; + + // use separating axis theorem to test overlap between triangle and box + // need to test for overlap in these directions: + // 1) the {x,y,z}-directions (actually, since we use the AABB of the triangle + // we do not even need to test these) + // 2) normal of the triangle + // 3) crossproduct(edge from tri, {x,y,z}-directin) + // this gives 3x3=9 more tests + + // move everything so that the boxcenter is in (0,0,0) + IcePoint v0, v1, v2; + v0.x = mLeafVerts[0].x - center.x; + v1.x = mLeafVerts[1].x - center.x; + v2.x = mLeafVerts[2].x - center.x; + + // First, test overlap in the {x,y,z}-directions +#ifdef OPC_USE_FCOMI + // find min, max of the triangle in x-direction, and test for overlap in X + if(FCMin3(v0.x, v1.x, v2.x)>extents.x) return FALSE; + if(FCMax3(v0.x, v1.x, v2.x)<-extents.x) return FALSE; + + // same for Y + v0.y = mLeafVerts[0].y - center.y; + v1.y = mLeafVerts[1].y - center.y; + v2.y = mLeafVerts[2].y - center.y; + + if(FCMin3(v0.y, v1.y, v2.y)>extents.y) return FALSE; + if(FCMax3(v0.y, v1.y, v2.y)<-extents.y) return FALSE; + + // same for Z + v0.z = mLeafVerts[0].z - center.z; + v1.z = mLeafVerts[1].z - center.z; + v2.z = mLeafVerts[2].z - center.z; + + if(FCMin3(v0.z, v1.z, v2.z)>extents.z) return FALSE; + if(FCMax3(v0.z, v1.z, v2.z)<-extents.z) return FALSE; +#else + float min,max; + // Find min, max of the triangle in x-direction, and test for overlap in X + FINDMINMAX(v0.x, v1.x, v2.x, min, max); + if(min>extents.x || max<-extents.x) return FALSE; + + // Same for Y + v0.y = mLeafVerts[0].y - center.y; + v1.y = mLeafVerts[1].y - center.y; + v2.y = mLeafVerts[2].y - center.y; + + FINDMINMAX(v0.y, v1.y, v2.y, min, max); + if(min>extents.y || max<-extents.y) return FALSE; + + // Same for Z + v0.z = mLeafVerts[0].z - center.z; + v1.z = mLeafVerts[1].z - center.z; + v2.z = mLeafVerts[2].z - center.z; + + FINDMINMAX(v0.z, v1.z, v2.z, min, max); + if(min>extents.z || max<-extents.z) return FALSE; +#endif + // 2) Test if the box intersects the plane of the triangle + // compute plane equation of triangle: normal*x+d=0 + // ### could be precomputed since we use the same leaf triangle several times + const IcePoint e0 = v1 - v0; + const IcePoint e1 = v2 - v1; + const IcePoint normal = e0 ^ e1; + const float d = -normal|v0; + if(!planeBoxOverlap(normal, d, extents)) return FALSE; + + // 3) "Class III" tests + if(mFullPrimBoxTest) + { + IMPLEMENT_CLASS3_TESTS + } + return TRUE; +} + +//! A dedicated version where the box is constant +inline_ BOOL OBBCollider::TriBoxOverlap() +{ + // Stats + mNbVolumePrimTests++; + + // Hook + const IcePoint& extents = mBoxExtents; + const IcePoint& v0 = mLeafVerts[0]; + const IcePoint& v1 = mLeafVerts[1]; + const IcePoint& v2 = mLeafVerts[2]; + + // use separating axis theorem to test overlap between triangle and box + // need to test for overlap in these directions: + // 1) the {x,y,z}-directions (actually, since we use the AABB of the triangle + // we do not even need to test these) + // 2) normal of the triangle + // 3) crossproduct(edge from tri, {x,y,z}-directin) + // this gives 3x3=9 more tests + + // Box center is already in (0,0,0) + + // First, test overlap in the {x,y,z}-directions +#ifdef OPC_USE_FCOMI + // find min, max of the triangle in x-direction, and test for overlap in X + if(FCMin3(v0.x, v1.x, v2.x)>mBoxExtents.x) return FALSE; + if(FCMax3(v0.x, v1.x, v2.x)<-mBoxExtents.x) return FALSE; + + if(FCMin3(v0.y, v1.y, v2.y)>mBoxExtents.y) return FALSE; + if(FCMax3(v0.y, v1.y, v2.y)<-mBoxExtents.y) return FALSE; + + if(FCMin3(v0.z, v1.z, v2.z)>mBoxExtents.z) return FALSE; + if(FCMax3(v0.z, v1.z, v2.z)<-mBoxExtents.z) return FALSE; +#else + float min,max; + // Find min, max of the triangle in x-direction, and test for overlap in X + FINDMINMAX(v0.x, v1.x, v2.x, min, max); + if(min>mBoxExtents.x || max<-mBoxExtents.x) return FALSE; + + FINDMINMAX(v0.y, v1.y, v2.y, min, max); + if(min>mBoxExtents.y || max<-mBoxExtents.y) return FALSE; + + FINDMINMAX(v0.z, v1.z, v2.z, min, max); + if(min>mBoxExtents.z || max<-mBoxExtents.z) return FALSE; +#endif + // 2) Test if the box intersects the plane of the triangle + // compute plane equation of triangle: normal*x+d=0 + // ### could be precomputed since we use the same leaf triangle several times + const IcePoint e0 = v1 - v0; + const IcePoint e1 = v2 - v1; + const IcePoint normal = e0 ^ e1; + const float d = -normal|v0; + if(!planeBoxOverlap(normal, d, mBoxExtents)) return FALSE; + + // 3) "Class III" tests - here we always do full tests since the box is a primitive (not a BV) + { + IMPLEMENT_CLASS3_TESTS + } + return TRUE; +} + +//! ...and another one, jeez +inline_ BOOL AABBCollider::TriBoxOverlap() +{ + // Stats + mNbVolumePrimTests++; + + // Hook + const IcePoint& center = mBox.mCenter; + const IcePoint& extents = mBox.mExtents; + + // use separating axis theorem to test overlap between triangle and box + // need to test for overlap in these directions: + // 1) the {x,y,z}-directions (actually, since we use the AABB of the triangle + // we do not even need to test these) + // 2) normal of the triangle + // 3) crossproduct(edge from tri, {x,y,z}-directin) + // this gives 3x3=9 more tests + + // move everything so that the boxcenter is in (0,0,0) + IcePoint v0, v1, v2; + v0.x = mLeafVerts[0].x - center.x; + v1.x = mLeafVerts[1].x - center.x; + v2.x = mLeafVerts[2].x - center.x; + + // First, test overlap in the {x,y,z}-directions +#ifdef OPC_USE_FCOMI + // find min, max of the triangle in x-direction, and test for overlap in X + if(FCMin3(v0.x, v1.x, v2.x)>extents.x) return FALSE; + if(FCMax3(v0.x, v1.x, v2.x)<-extents.x) return FALSE; + + // same for Y + v0.y = mLeafVerts[0].y - center.y; + v1.y = mLeafVerts[1].y - center.y; + v2.y = mLeafVerts[2].y - center.y; + + if(FCMin3(v0.y, v1.y, v2.y)>extents.y) return FALSE; + if(FCMax3(v0.y, v1.y, v2.y)<-extents.y) return FALSE; + + // same for Z + v0.z = mLeafVerts[0].z - center.z; + v1.z = mLeafVerts[1].z - center.z; + v2.z = mLeafVerts[2].z - center.z; + + if(FCMin3(v0.z, v1.z, v2.z)>extents.z) return FALSE; + if(FCMax3(v0.z, v1.z, v2.z)<-extents.z) return FALSE; +#else + float min,max; + // Find min, max of the triangle in x-direction, and test for overlap in X + FINDMINMAX(v0.x, v1.x, v2.x, min, max); + if(min>extents.x || max<-extents.x) return FALSE; + + // Same for Y + v0.y = mLeafVerts[0].y - center.y; + v1.y = mLeafVerts[1].y - center.y; + v2.y = mLeafVerts[2].y - center.y; + + FINDMINMAX(v0.y, v1.y, v2.y, min, max); + if(min>extents.y || max<-extents.y) return FALSE; + + // Same for Z + v0.z = mLeafVerts[0].z - center.z; + v1.z = mLeafVerts[1].z - center.z; + v2.z = mLeafVerts[2].z - center.z; + + FINDMINMAX(v0.z, v1.z, v2.z, min, max); + if(min>extents.z || max<-extents.z) return FALSE; +#endif + // 2) Test if the box intersects the plane of the triangle + // compute plane equation of triangle: normal*x+d=0 + // ### could be precomputed since we use the same leaf triangle several times + const IcePoint e0 = v1 - v0; + const IcePoint e1 = v2 - v1; + const IcePoint normal = e0 ^ e1; + const float d = -normal|v0; + if(!planeBoxOverlap(normal, d, extents)) return FALSE; + + // 3) "Class III" tests - here we always do full tests since the box is a primitive (not a BV) + { + IMPLEMENT_CLASS3_TESTS + } + return TRUE; +} |