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-rw-r--r--thirdparty/bullet/BulletCollision/NarrowPhaseCollision/btGjkEpa3.h1824
1 files changed, 926 insertions, 898 deletions
diff --git a/thirdparty/bullet/BulletCollision/NarrowPhaseCollision/btGjkEpa3.h b/thirdparty/bullet/BulletCollision/NarrowPhaseCollision/btGjkEpa3.h
index ce1f24bc50..6fedbbb3e5 100644
--- a/thirdparty/bullet/BulletCollision/NarrowPhaseCollision/btGjkEpa3.h
+++ b/thirdparty/bullet/BulletCollision/NarrowPhaseCollision/btGjkEpa3.h
@@ -29,915 +29,946 @@ Improvements and refactoring by Erwin Coumans, 2008-2014
#include "LinearMath/btTransform.h"
#include "btGjkCollisionDescription.h"
-
-
-struct btGjkEpaSolver3
+struct btGjkEpaSolver3
{
-struct sResults
+ struct sResults
{
- enum eStatus
+ enum eStatus
{
- Separated, /* Shapes doesnt penetrate */
- Penetrating, /* Shapes are penetrating */
- GJK_Failed, /* GJK phase fail, no big issue, shapes are probably just 'touching' */
- EPA_Failed /* EPA phase fail, bigger problem, need to save parameters, and debug */
- } status;
- btVector3 witnesses[2];
- btVector3 normal;
- btScalar distance;
+ Separated, /* Shapes doesnt penetrate */
+ Penetrating, /* Shapes are penetrating */
+ GJK_Failed, /* GJK phase fail, no big issue, shapes are probably just 'touching' */
+ EPA_Failed /* EPA phase fail, bigger problem, need to save parameters, and debug */
+ } status;
+ btVector3 witnesses[2];
+ btVector3 normal;
+ btScalar distance;
};
-
-
};
-
-
-#if defined(DEBUG) || defined (_DEBUG)
-#include <stdio.h> //for debug printf
+#if defined(DEBUG) || defined(_DEBUG)
+#include <stdio.h> //for debug printf
#ifdef __SPU__
#include <spu_printf.h>
#define printf spu_printf
-#endif //__SPU__
+#endif //__SPU__
#endif
+// Config
-
- // Config
-
- /* GJK */
-#define GJK_MAX_ITERATIONS 128
-#define GJK_ACCURARY ((btScalar)0.0001)
-#define GJK_MIN_DISTANCE ((btScalar)0.0001)
-#define GJK_DUPLICATED_EPS ((btScalar)0.0001)
-#define GJK_SIMPLEX2_EPS ((btScalar)0.0)
-#define GJK_SIMPLEX3_EPS ((btScalar)0.0)
-#define GJK_SIMPLEX4_EPS ((btScalar)0.0)
-
- /* EPA */
-#define EPA_MAX_VERTICES 64
-#define EPA_MAX_FACES (EPA_MAX_VERTICES*2)
-#define EPA_MAX_ITERATIONS 255
-#define EPA_ACCURACY ((btScalar)0.0001)
-#define EPA_FALLBACK (10*EPA_ACCURACY)
-#define EPA_PLANE_EPS ((btScalar)0.00001)
-#define EPA_INSIDE_EPS ((btScalar)0.01)
-
-
- // Shorthands
- typedef unsigned int U;
- typedef unsigned char U1;
-
- // MinkowskiDiff
- template <typename btConvexTemplate>
- struct MinkowskiDiff
- {
- const btConvexTemplate* m_convexAPtr;
- const btConvexTemplate* m_convexBPtr;
-
- btMatrix3x3 m_toshape1;
- btTransform m_toshape0;
-
- bool m_enableMargin;
-
-
- MinkowskiDiff(const btConvexTemplate& a, const btConvexTemplate& b)
- :m_convexAPtr(&a),
- m_convexBPtr(&b)
- {
- }
-
- void EnableMargin(bool enable)
- {
- m_enableMargin = enable;
- }
- inline btVector3 Support0(const btVector3& d) const
- {
- return m_convexAPtr->getLocalSupportWithMargin(d);
- }
- inline btVector3 Support1(const btVector3& d) const
- {
- return m_toshape0*m_convexBPtr->getLocalSupportWithMargin(m_toshape1*d);
- }
-
-
- inline btVector3 Support(const btVector3& d) const
- {
- return(Support0(d)-Support1(-d));
- }
- btVector3 Support(const btVector3& d,U index) const
- {
- if(index)
- return(Support1(d));
- else
- return(Support0(d));
- }
- };
-
-enum eGjkStatus
+/* GJK */
+#define GJK_MAX_ITERATIONS 128
+#define GJK_ACCURARY ((btScalar)0.0001)
+#define GJK_MIN_DISTANCE ((btScalar)0.0001)
+#define GJK_DUPLICATED_EPS ((btScalar)0.0001)
+#define GJK_SIMPLEX2_EPS ((btScalar)0.0)
+#define GJK_SIMPLEX3_EPS ((btScalar)0.0)
+#define GJK_SIMPLEX4_EPS ((btScalar)0.0)
+
+/* EPA */
+#define EPA_MAX_VERTICES 64
+#define EPA_MAX_FACES (EPA_MAX_VERTICES * 2)
+#define EPA_MAX_ITERATIONS 255
+#define EPA_ACCURACY ((btScalar)0.0001)
+#define EPA_FALLBACK (10 * EPA_ACCURACY)
+#define EPA_PLANE_EPS ((btScalar)0.00001)
+#define EPA_INSIDE_EPS ((btScalar)0.01)
+
+// Shorthands
+typedef unsigned int U;
+typedef unsigned char U1;
+
+// MinkowskiDiff
+template <typename btConvexTemplate>
+struct MinkowskiDiff
{
- eGjkValid,
- eGjkInside,
- eGjkFailed
+ const btConvexTemplate* m_convexAPtr;
+ const btConvexTemplate* m_convexBPtr;
+
+ btMatrix3x3 m_toshape1;
+ btTransform m_toshape0;
+
+ bool m_enableMargin;
+
+ MinkowskiDiff(const btConvexTemplate& a, const btConvexTemplate& b)
+ : m_convexAPtr(&a),
+ m_convexBPtr(&b)
+ {
+ }
+
+ void EnableMargin(bool enable)
+ {
+ m_enableMargin = enable;
+ }
+ inline btVector3 Support0(const btVector3& d) const
+ {
+ return m_convexAPtr->getLocalSupportWithMargin(d);
+ }
+ inline btVector3 Support1(const btVector3& d) const
+ {
+ return m_toshape0 * m_convexBPtr->getLocalSupportWithMargin(m_toshape1 * d);
+ }
+
+ inline btVector3 Support(const btVector3& d) const
+ {
+ return (Support0(d) - Support1(-d));
+ }
+ btVector3 Support(const btVector3& d, U index) const
+ {
+ if (index)
+ return (Support1(d));
+ else
+ return (Support0(d));
+ }
};
- // GJK
- template <typename btConvexTemplate>
- struct GJK
- {
- /* Types */
- struct sSV
- {
- btVector3 d,w;
- };
- struct sSimplex
- {
- sSV* c[4];
- btScalar p[4];
- U rank;
- };
-
- /* Fields */
-
- MinkowskiDiff<btConvexTemplate> m_shape;
- btVector3 m_ray;
- btScalar m_distance;
- sSimplex m_simplices[2];
- sSV m_store[4];
- sSV* m_free[4];
- U m_nfree;
- U m_current;
- sSimplex* m_simplex;
- eGjkStatus m_status;
- /* Methods */
-
- GJK(const btConvexTemplate& a, const btConvexTemplate& b)
- :m_shape(a,b)
- {
- Initialize();
- }
- void Initialize()
- {
- m_ray = btVector3(0,0,0);
- m_nfree = 0;
- m_status = eGjkFailed;
- m_current = 0;
- m_distance = 0;
- }
- eGjkStatus Evaluate(const MinkowskiDiff<btConvexTemplate>& shapearg,const btVector3& guess)
- {
- U iterations=0;
- btScalar sqdist=0;
- btScalar alpha=0;
- btVector3 lastw[4];
- U clastw=0;
- /* Initialize solver */
- m_free[0] = &m_store[0];
- m_free[1] = &m_store[1];
- m_free[2] = &m_store[2];
- m_free[3] = &m_store[3];
- m_nfree = 4;
- m_current = 0;
- m_status = eGjkValid;
- m_shape = shapearg;
- m_distance = 0;
- /* Initialize simplex */
- m_simplices[0].rank = 0;
- m_ray = guess;
- const btScalar sqrl= m_ray.length2();
- appendvertice(m_simplices[0],sqrl>0?-m_ray:btVector3(1,0,0));
- m_simplices[0].p[0] = 1;
- m_ray = m_simplices[0].c[0]->w;
- sqdist = sqrl;
- lastw[0] =
- lastw[1] =
- lastw[2] =
- lastw[3] = m_ray;
- /* Loop */
- do {
- const U next=1-m_current;
- sSimplex& cs=m_simplices[m_current];
- sSimplex& ns=m_simplices[next];
- /* Check zero */
- const btScalar rl=m_ray.length();
- if(rl<GJK_MIN_DISTANCE)
- {/* Touching or inside */
- m_status=eGjkInside;
- break;
- }
- /* Append new vertice in -'v' direction */
- appendvertice(cs,-m_ray);
- const btVector3& w=cs.c[cs.rank-1]->w;
- bool found=false;
- for(U i=0;i<4;++i)
- {
- if((w-lastw[i]).length2()<GJK_DUPLICATED_EPS)
- { found=true;break; }
- }
- if(found)
- {/* Return old simplex */
- removevertice(m_simplices[m_current]);
- break;
- }
- else
- {/* Update lastw */
- lastw[clastw=(clastw+1)&3]=w;
- }
- /* Check for termination */
- const btScalar omega=btDot(m_ray,w)/rl;
- alpha=btMax(omega,alpha);
- if(((rl-alpha)-(GJK_ACCURARY*rl))<=0)
- {/* Return old simplex */
- removevertice(m_simplices[m_current]);
- break;
- }
- /* Reduce simplex */
- btScalar weights[4];
- U mask=0;
- switch(cs.rank)
- {
- case 2: sqdist=projectorigin( cs.c[0]->w,
- cs.c[1]->w,
- weights,mask);break;
- case 3: sqdist=projectorigin( cs.c[0]->w,
- cs.c[1]->w,
- cs.c[2]->w,
- weights,mask);break;
- case 4: sqdist=projectorigin( cs.c[0]->w,
- cs.c[1]->w,
- cs.c[2]->w,
- cs.c[3]->w,
- weights,mask);break;
- }
- if(sqdist>=0)
- {/* Valid */
- ns.rank = 0;
- m_ray = btVector3(0,0,0);
- m_current = next;
- for(U i=0,ni=cs.rank;i<ni;++i)
- {
- if(mask&(1<<i))
- {
- ns.c[ns.rank] = cs.c[i];
- ns.p[ns.rank++] = weights[i];
- m_ray += cs.c[i]->w*weights[i];
- }
- else
- {
- m_free[m_nfree++] = cs.c[i];
- }
- }
- if(mask==15) m_status=eGjkInside;
- }
- else
- {/* Return old simplex */
- removevertice(m_simplices[m_current]);
- break;
- }
- m_status=((++iterations)<GJK_MAX_ITERATIONS)?m_status:eGjkFailed;
- } while(m_status==eGjkValid);
- m_simplex=&m_simplices[m_current];
- switch(m_status)
- {
- case eGjkValid: m_distance=m_ray.length();break;
- case eGjkInside: m_distance=0;break;
- default:
- {
- }
- }
- return(m_status);
- }
- bool EncloseOrigin()
- {
- switch(m_simplex->rank)
- {
- case 1:
- {
- for(U i=0;i<3;++i)
- {
- btVector3 axis=btVector3(0,0,0);
- axis[i]=1;
- appendvertice(*m_simplex, axis);
- if(EncloseOrigin()) return(true);
- removevertice(*m_simplex);
- appendvertice(*m_simplex,-axis);
- if(EncloseOrigin()) return(true);
- removevertice(*m_simplex);
- }
- }
- break;
- case 2:
- {
- const btVector3 d=m_simplex->c[1]->w-m_simplex->c[0]->w;
- for(U i=0;i<3;++i)
- {
- btVector3 axis=btVector3(0,0,0);
- axis[i]=1;
- const btVector3 p=btCross(d,axis);
- if(p.length2()>0)
- {
- appendvertice(*m_simplex, p);
- if(EncloseOrigin()) return(true);
- removevertice(*m_simplex);
- appendvertice(*m_simplex,-p);
- if(EncloseOrigin()) return(true);
- removevertice(*m_simplex);
- }
- }
- }
- break;
- case 3:
- {
- const btVector3 n=btCross(m_simplex->c[1]->w-m_simplex->c[0]->w,
- m_simplex->c[2]->w-m_simplex->c[0]->w);
- if(n.length2()>0)
- {
- appendvertice(*m_simplex,n);
- if(EncloseOrigin()) return(true);
- removevertice(*m_simplex);
- appendvertice(*m_simplex,-n);
- if(EncloseOrigin()) return(true);
- removevertice(*m_simplex);
- }
- }
- break;
- case 4:
- {
- if(btFabs(det( m_simplex->c[0]->w-m_simplex->c[3]->w,
- m_simplex->c[1]->w-m_simplex->c[3]->w,
- m_simplex->c[2]->w-m_simplex->c[3]->w))>0)
- return(true);
- }
- break;
- }
- return(false);
- }
- /* Internals */
- void getsupport(const btVector3& d,sSV& sv) const
- {
- sv.d = d/d.length();
- sv.w = m_shape.Support(sv.d);
- }
- void removevertice(sSimplex& simplex)
- {
- m_free[m_nfree++]=simplex.c[--simplex.rank];
- }
- void appendvertice(sSimplex& simplex,const btVector3& v)
- {
- simplex.p[simplex.rank]=0;
- simplex.c[simplex.rank]=m_free[--m_nfree];
- getsupport(v,*simplex.c[simplex.rank++]);
- }
- static btScalar det(const btVector3& a,const btVector3& b,const btVector3& c)
- {
- return( a.y()*b.z()*c.x()+a.z()*b.x()*c.y()-
- a.x()*b.z()*c.y()-a.y()*b.x()*c.z()+
- a.x()*b.y()*c.z()-a.z()*b.y()*c.x());
- }
- static btScalar projectorigin( const btVector3& a,
- const btVector3& b,
- btScalar* w,U& m)
- {
- const btVector3 d=b-a;
- const btScalar l=d.length2();
- if(l>GJK_SIMPLEX2_EPS)
- {
- const btScalar t(l>0?-btDot(a,d)/l:0);
- if(t>=1) { w[0]=0;w[1]=1;m=2;return(b.length2()); }
- else if(t<=0) { w[0]=1;w[1]=0;m=1;return(a.length2()); }
- else { w[0]=1-(w[1]=t);m=3;return((a+d*t).length2()); }
- }
- return(-1);
- }
- static btScalar projectorigin( const btVector3& a,
- const btVector3& b,
- const btVector3& c,
- btScalar* w,U& m)
- {
- static const U imd3[]={1,2,0};
- const btVector3* vt[]={&a,&b,&c};
- const btVector3 dl[]={a-b,b-c,c-a};
- const btVector3 n=btCross(dl[0],dl[1]);
- const btScalar l=n.length2();
- if(l>GJK_SIMPLEX3_EPS)
- {
- btScalar mindist=-1;
- btScalar subw[2]={0.f,0.f};
- U subm(0);
- for(U i=0;i<3;++i)
- {
- if(btDot(*vt[i],btCross(dl[i],n))>0)
- {
- const U j=imd3[i];
- const btScalar subd(projectorigin(*vt[i],*vt[j],subw,subm));
- if((mindist<0)||(subd<mindist))
- {
- mindist = subd;
- m = static_cast<U>(((subm&1)?1<<i:0)+((subm&2)?1<<j:0));
- w[i] = subw[0];
- w[j] = subw[1];
- w[imd3[j]] = 0;
- }
- }
- }
- if(mindist<0)
- {
- const btScalar d=btDot(a,n);
- const btScalar s=btSqrt(l);
- const btVector3 p=n*(d/l);
- mindist = p.length2();
- m = 7;
- w[0] = (btCross(dl[1],b-p)).length()/s;
- w[1] = (btCross(dl[2],c-p)).length()/s;
- w[2] = 1-(w[0]+w[1]);
- }
- return(mindist);
- }
- return(-1);
- }
- static btScalar projectorigin( const btVector3& a,
- const btVector3& b,
- const btVector3& c,
- const btVector3& d,
- btScalar* w,U& m)
- {
- static const U imd3[]={1,2,0};
- const btVector3* vt[]={&a,&b,&c,&d};
- const btVector3 dl[]={a-d,b-d,c-d};
- const btScalar vl=det(dl[0],dl[1],dl[2]);
- const bool ng=(vl*btDot(a,btCross(b-c,a-b)))<=0;
- if(ng&&(btFabs(vl)>GJK_SIMPLEX4_EPS))
- {
- btScalar mindist=-1;
- btScalar subw[3]={0.f,0.f,0.f};
- U subm(0);
- for(U i=0;i<3;++i)
- {
- const U j=imd3[i];
- const btScalar s=vl*btDot(d,btCross(dl[i],dl[j]));
- if(s>0)
- {
- const btScalar subd=projectorigin(*vt[i],*vt[j],d,subw,subm);
- if((mindist<0)||(subd<mindist))
- {
- mindist = subd;
- m = static_cast<U>((subm&1?1<<i:0)+
- (subm&2?1<<j:0)+
- (subm&4?8:0));
- w[i] = subw[0];
- w[j] = subw[1];
- w[imd3[j]] = 0;
- w[3] = subw[2];
- }
- }
- }
- if(mindist<0)
- {
- mindist = 0;
- m = 15;
- w[0] = det(c,b,d)/vl;
- w[1] = det(a,c,d)/vl;
- w[2] = det(b,a,d)/vl;
- w[3] = 1-(w[0]+w[1]+w[2]);
- }
- return(mindist);
- }
- return(-1);
- }
- };
+enum eGjkStatus
+{
+ eGjkValid,
+ eGjkInside,
+ eGjkFailed
+};
+
+// GJK
+template <typename btConvexTemplate>
+struct GJK
+{
+ /* Types */
+ struct sSV
+ {
+ btVector3 d, w;
+ };
+ struct sSimplex
+ {
+ sSV* c[4];
+ btScalar p[4];
+ U rank;
+ };
+
+ /* Fields */
+ MinkowskiDiff<btConvexTemplate> m_shape;
+ btVector3 m_ray;
+ btScalar m_distance;
+ sSimplex m_simplices[2];
+ sSV m_store[4];
+ sSV* m_free[4];
+ U m_nfree;
+ U m_current;
+ sSimplex* m_simplex;
+ eGjkStatus m_status;
+ /* Methods */
+
+ GJK(const btConvexTemplate& a, const btConvexTemplate& b)
+ : m_shape(a, b)
+ {
+ Initialize();
+ }
+ void Initialize()
+ {
+ m_ray = btVector3(0, 0, 0);
+ m_nfree = 0;
+ m_status = eGjkFailed;
+ m_current = 0;
+ m_distance = 0;
+ }
+ eGjkStatus Evaluate(const MinkowskiDiff<btConvexTemplate>& shapearg, const btVector3& guess)
+ {
+ U iterations = 0;
+ btScalar sqdist = 0;
+ btScalar alpha = 0;
+ btVector3 lastw[4];
+ U clastw = 0;
+ /* Initialize solver */
+ m_free[0] = &m_store[0];
+ m_free[1] = &m_store[1];
+ m_free[2] = &m_store[2];
+ m_free[3] = &m_store[3];
+ m_nfree = 4;
+ m_current = 0;
+ m_status = eGjkValid;
+ m_shape = shapearg;
+ m_distance = 0;
+ /* Initialize simplex */
+ m_simplices[0].rank = 0;
+ m_ray = guess;
+ const btScalar sqrl = m_ray.length2();
+ appendvertice(m_simplices[0], sqrl > 0 ? -m_ray : btVector3(1, 0, 0));
+ m_simplices[0].p[0] = 1;
+ m_ray = m_simplices[0].c[0]->w;
+ sqdist = sqrl;
+ lastw[0] =
+ lastw[1] =
+ lastw[2] =
+ lastw[3] = m_ray;
+ /* Loop */
+ do
+ {
+ const U next = 1 - m_current;
+ sSimplex& cs = m_simplices[m_current];
+ sSimplex& ns = m_simplices[next];
+ /* Check zero */
+ const btScalar rl = m_ray.length();
+ if (rl < GJK_MIN_DISTANCE)
+ { /* Touching or inside */
+ m_status = eGjkInside;
+ break;
+ }
+ /* Append new vertice in -'v' direction */
+ appendvertice(cs, -m_ray);
+ const btVector3& w = cs.c[cs.rank - 1]->w;
+ bool found = false;
+ for (U i = 0; i < 4; ++i)
+ {
+ if ((w - lastw[i]).length2() < GJK_DUPLICATED_EPS)
+ {
+ found = true;
+ break;
+ }
+ }
+ if (found)
+ { /* Return old simplex */
+ removevertice(m_simplices[m_current]);
+ break;
+ }
+ else
+ { /* Update lastw */
+ lastw[clastw = (clastw + 1) & 3] = w;
+ }
+ /* Check for termination */
+ const btScalar omega = btDot(m_ray, w) / rl;
+ alpha = btMax(omega, alpha);
+ if (((rl - alpha) - (GJK_ACCURARY * rl)) <= 0)
+ { /* Return old simplex */
+ removevertice(m_simplices[m_current]);
+ break;
+ }
+ /* Reduce simplex */
+ btScalar weights[4];
+ U mask = 0;
+ switch (cs.rank)
+ {
+ case 2:
+ sqdist = projectorigin(cs.c[0]->w,
+ cs.c[1]->w,
+ weights, mask);
+ break;
+ case 3:
+ sqdist = projectorigin(cs.c[0]->w,
+ cs.c[1]->w,
+ cs.c[2]->w,
+ weights, mask);
+ break;
+ case 4:
+ sqdist = projectorigin(cs.c[0]->w,
+ cs.c[1]->w,
+ cs.c[2]->w,
+ cs.c[3]->w,
+ weights, mask);
+ break;
+ }
+ if (sqdist >= 0)
+ { /* Valid */
+ ns.rank = 0;
+ m_ray = btVector3(0, 0, 0);
+ m_current = next;
+ for (U i = 0, ni = cs.rank; i < ni; ++i)
+ {
+ if (mask & (1 << i))
+ {
+ ns.c[ns.rank] = cs.c[i];
+ ns.p[ns.rank++] = weights[i];
+ m_ray += cs.c[i]->w * weights[i];
+ }
+ else
+ {
+ m_free[m_nfree++] = cs.c[i];
+ }
+ }
+ if (mask == 15) m_status = eGjkInside;
+ }
+ else
+ { /* Return old simplex */
+ removevertice(m_simplices[m_current]);
+ break;
+ }
+ m_status = ((++iterations) < GJK_MAX_ITERATIONS) ? m_status : eGjkFailed;
+ } while (m_status == eGjkValid);
+ m_simplex = &m_simplices[m_current];
+ switch (m_status)
+ {
+ case eGjkValid:
+ m_distance = m_ray.length();
+ break;
+ case eGjkInside:
+ m_distance = 0;
+ break;
+ default:
+ {
+ }
+ }
+ return (m_status);
+ }
+ bool EncloseOrigin()
+ {
+ switch (m_simplex->rank)
+ {
+ case 1:
+ {
+ for (U i = 0; i < 3; ++i)
+ {
+ btVector3 axis = btVector3(0, 0, 0);
+ axis[i] = 1;
+ appendvertice(*m_simplex, axis);
+ if (EncloseOrigin()) return (true);
+ removevertice(*m_simplex);
+ appendvertice(*m_simplex, -axis);
+ if (EncloseOrigin()) return (true);
+ removevertice(*m_simplex);
+ }
+ }
+ break;
+ case 2:
+ {
+ const btVector3 d = m_simplex->c[1]->w - m_simplex->c[0]->w;
+ for (U i = 0; i < 3; ++i)
+ {
+ btVector3 axis = btVector3(0, 0, 0);
+ axis[i] = 1;
+ const btVector3 p = btCross(d, axis);
+ if (p.length2() > 0)
+ {
+ appendvertice(*m_simplex, p);
+ if (EncloseOrigin()) return (true);
+ removevertice(*m_simplex);
+ appendvertice(*m_simplex, -p);
+ if (EncloseOrigin()) return (true);
+ removevertice(*m_simplex);
+ }
+ }
+ }
+ break;
+ case 3:
+ {
+ const btVector3 n = btCross(m_simplex->c[1]->w - m_simplex->c[0]->w,
+ m_simplex->c[2]->w - m_simplex->c[0]->w);
+ if (n.length2() > 0)
+ {
+ appendvertice(*m_simplex, n);
+ if (EncloseOrigin()) return (true);
+ removevertice(*m_simplex);
+ appendvertice(*m_simplex, -n);
+ if (EncloseOrigin()) return (true);
+ removevertice(*m_simplex);
+ }
+ }
+ break;
+ case 4:
+ {
+ if (btFabs(det(m_simplex->c[0]->w - m_simplex->c[3]->w,
+ m_simplex->c[1]->w - m_simplex->c[3]->w,
+ m_simplex->c[2]->w - m_simplex->c[3]->w)) > 0)
+ return (true);
+ }
+ break;
+ }
+ return (false);
+ }
+ /* Internals */
+ void getsupport(const btVector3& d, sSV& sv) const
+ {
+ sv.d = d / d.length();
+ sv.w = m_shape.Support(sv.d);
+ }
+ void removevertice(sSimplex& simplex)
+ {
+ m_free[m_nfree++] = simplex.c[--simplex.rank];
+ }
+ void appendvertice(sSimplex& simplex, const btVector3& v)
+ {
+ simplex.p[simplex.rank] = 0;
+ simplex.c[simplex.rank] = m_free[--m_nfree];
+ getsupport(v, *simplex.c[simplex.rank++]);
+ }
+ static btScalar det(const btVector3& a, const btVector3& b, const btVector3& c)
+ {
+ return (a.y() * b.z() * c.x() + a.z() * b.x() * c.y() -
+ a.x() * b.z() * c.y() - a.y() * b.x() * c.z() +
+ a.x() * b.y() * c.z() - a.z() * b.y() * c.x());
+ }
+ static btScalar projectorigin(const btVector3& a,
+ const btVector3& b,
+ btScalar* w, U& m)
+ {
+ const btVector3 d = b - a;
+ const btScalar l = d.length2();
+ if (l > GJK_SIMPLEX2_EPS)
+ {
+ const btScalar t(l > 0 ? -btDot(a, d) / l : 0);
+ if (t >= 1)
+ {
+ w[0] = 0;
+ w[1] = 1;
+ m = 2;
+ return (b.length2());
+ }
+ else if (t <= 0)
+ {
+ w[0] = 1;
+ w[1] = 0;
+ m = 1;
+ return (a.length2());
+ }
+ else
+ {
+ w[0] = 1 - (w[1] = t);
+ m = 3;
+ return ((a + d * t).length2());
+ }
+ }
+ return (-1);
+ }
+ static btScalar projectorigin(const btVector3& a,
+ const btVector3& b,
+ const btVector3& c,
+ btScalar* w, U& m)
+ {
+ static const U imd3[] = {1, 2, 0};
+ const btVector3* vt[] = {&a, &b, &c};
+ const btVector3 dl[] = {a - b, b - c, c - a};
+ const btVector3 n = btCross(dl[0], dl[1]);
+ const btScalar l = n.length2();
+ if (l > GJK_SIMPLEX3_EPS)
+ {
+ btScalar mindist = -1;
+ btScalar subw[2] = {0.f, 0.f};
+ U subm(0);
+ for (U i = 0; i < 3; ++i)
+ {
+ if (btDot(*vt[i], btCross(dl[i], n)) > 0)
+ {
+ const U j = imd3[i];
+ const btScalar subd(projectorigin(*vt[i], *vt[j], subw, subm));
+ if ((mindist < 0) || (subd < mindist))
+ {
+ mindist = subd;
+ m = static_cast<U>(((subm & 1) ? 1 << i : 0) + ((subm & 2) ? 1 << j : 0));
+ w[i] = subw[0];
+ w[j] = subw[1];
+ w[imd3[j]] = 0;
+ }
+ }
+ }
+ if (mindist < 0)
+ {
+ const btScalar d = btDot(a, n);
+ const btScalar s = btSqrt(l);
+ const btVector3 p = n * (d / l);
+ mindist = p.length2();
+ m = 7;
+ w[0] = (btCross(dl[1], b - p)).length() / s;
+ w[1] = (btCross(dl[2], c - p)).length() / s;
+ w[2] = 1 - (w[0] + w[1]);
+ }
+ return (mindist);
+ }
+ return (-1);
+ }
+ static btScalar projectorigin(const btVector3& a,
+ const btVector3& b,
+ const btVector3& c,
+ const btVector3& d,
+ btScalar* w, U& m)
+ {
+ static const U imd3[] = {1, 2, 0};
+ const btVector3* vt[] = {&a, &b, &c, &d};
+ const btVector3 dl[] = {a - d, b - d, c - d};
+ const btScalar vl = det(dl[0], dl[1], dl[2]);
+ const bool ng = (vl * btDot(a, btCross(b - c, a - b))) <= 0;
+ if (ng && (btFabs(vl) > GJK_SIMPLEX4_EPS))
+ {
+ btScalar mindist = -1;
+ btScalar subw[3] = {0.f, 0.f, 0.f};
+ U subm(0);
+ for (U i = 0; i < 3; ++i)
+ {
+ const U j = imd3[i];
+ const btScalar s = vl * btDot(d, btCross(dl[i], dl[j]));
+ if (s > 0)
+ {
+ const btScalar subd = projectorigin(*vt[i], *vt[j], d, subw, subm);
+ if ((mindist < 0) || (subd < mindist))
+ {
+ mindist = subd;
+ m = static_cast<U>((subm & 1 ? 1 << i : 0) +
+ (subm & 2 ? 1 << j : 0) +
+ (subm & 4 ? 8 : 0));
+ w[i] = subw[0];
+ w[j] = subw[1];
+ w[imd3[j]] = 0;
+ w[3] = subw[2];
+ }
+ }
+ }
+ if (mindist < 0)
+ {
+ mindist = 0;
+ m = 15;
+ w[0] = det(c, b, d) / vl;
+ w[1] = det(a, c, d) / vl;
+ w[2] = det(b, a, d) / vl;
+ w[3] = 1 - (w[0] + w[1] + w[2]);
+ }
+ return (mindist);
+ }
+ return (-1);
+ }
+};
-enum eEpaStatus
+enum eEpaStatus
{
- eEpaValid,
- eEpaTouching,
- eEpaDegenerated,
- eEpaNonConvex,
- eEpaInvalidHull,
- eEpaOutOfFaces,
- eEpaOutOfVertices,
- eEpaAccuraryReached,
- eEpaFallBack,
- eEpaFailed
+ eEpaValid,
+ eEpaTouching,
+ eEpaDegenerated,
+ eEpaNonConvex,
+ eEpaInvalidHull,
+ eEpaOutOfFaces,
+ eEpaOutOfVertices,
+ eEpaAccuraryReached,
+ eEpaFallBack,
+ eEpaFailed
};
+// EPA
+template <typename btConvexTemplate>
+struct EPA
+{
+ /* Types */
+
+ struct sFace
+ {
+ btVector3 n;
+ btScalar d;
+ typename GJK<btConvexTemplate>::sSV* c[3];
+ sFace* f[3];
+ sFace* l[2];
+ U1 e[3];
+ U1 pass;
+ };
+ struct sList
+ {
+ sFace* root;
+ U count;
+ sList() : root(0), count(0) {}
+ };
+ struct sHorizon
+ {
+ sFace* cf;
+ sFace* ff;
+ U nf;
+ sHorizon() : cf(0), ff(0), nf(0) {}
+ };
+
+ /* Fields */
+ eEpaStatus m_status;
+ typename GJK<btConvexTemplate>::sSimplex m_result;
+ btVector3 m_normal;
+ btScalar m_depth;
+ typename GJK<btConvexTemplate>::sSV m_sv_store[EPA_MAX_VERTICES];
+ sFace m_fc_store[EPA_MAX_FACES];
+ U m_nextsv;
+ sList m_hull;
+ sList m_stock;
+ /* Methods */
+ EPA()
+ {
+ Initialize();
+ }
+
+ static inline void bind(sFace* fa, U ea, sFace* fb, U eb)
+ {
+ fa->e[ea] = (U1)eb;
+ fa->f[ea] = fb;
+ fb->e[eb] = (U1)ea;
+ fb->f[eb] = fa;
+ }
+ static inline void append(sList& list, sFace* face)
+ {
+ face->l[0] = 0;
+ face->l[1] = list.root;
+ if (list.root) list.root->l[0] = face;
+ list.root = face;
+ ++list.count;
+ }
+ static inline void remove(sList& list, sFace* face)
+ {
+ if (face->l[1]) face->l[1]->l[0] = face->l[0];
+ if (face->l[0]) face->l[0]->l[1] = face->l[1];
+ if (face == list.root) list.root = face->l[1];
+ --list.count;
+ }
+
+ void Initialize()
+ {
+ m_status = eEpaFailed;
+ m_normal = btVector3(0, 0, 0);
+ m_depth = 0;
+ m_nextsv = 0;
+ for (U i = 0; i < EPA_MAX_FACES; ++i)
+ {
+ append(m_stock, &m_fc_store[EPA_MAX_FACES - i - 1]);
+ }
+ }
+ eEpaStatus Evaluate(GJK<btConvexTemplate>& gjk, const btVector3& guess)
+ {
+ typename GJK<btConvexTemplate>::sSimplex& simplex = *gjk.m_simplex;
+ if ((simplex.rank > 1) && gjk.EncloseOrigin())
+ {
+ /* Clean up */
+ while (m_hull.root)
+ {
+ sFace* f = m_hull.root;
+ remove(m_hull, f);
+ append(m_stock, f);
+ }
+ m_status = eEpaValid;
+ m_nextsv = 0;
+ /* Orient simplex */
+ if (gjk.det(simplex.c[0]->w - simplex.c[3]->w,
+ simplex.c[1]->w - simplex.c[3]->w,
+ simplex.c[2]->w - simplex.c[3]->w) < 0)
+ {
+ btSwap(simplex.c[0], simplex.c[1]);
+ btSwap(simplex.p[0], simplex.p[1]);
+ }
+ /* Build initial hull */
+ sFace* tetra[] = {newface(simplex.c[0], simplex.c[1], simplex.c[2], true),
+ newface(simplex.c[1], simplex.c[0], simplex.c[3], true),
+ newface(simplex.c[2], simplex.c[1], simplex.c[3], true),
+ newface(simplex.c[0], simplex.c[2], simplex.c[3], true)};
+ if (m_hull.count == 4)
+ {
+ sFace* best = findbest();
+ sFace outer = *best;
+ U pass = 0;
+ U iterations = 0;
+ bind(tetra[0], 0, tetra[1], 0);
+ bind(tetra[0], 1, tetra[2], 0);
+ bind(tetra[0], 2, tetra[3], 0);
+ bind(tetra[1], 1, tetra[3], 2);
+ bind(tetra[1], 2, tetra[2], 1);
+ bind(tetra[2], 2, tetra[3], 1);
+ m_status = eEpaValid;
+ for (; iterations < EPA_MAX_ITERATIONS; ++iterations)
+ {
+ if (m_nextsv < EPA_MAX_VERTICES)
+ {
+ sHorizon horizon;
+ typename GJK<btConvexTemplate>::sSV* w = &m_sv_store[m_nextsv++];
+ bool valid = true;
+ best->pass = (U1)(++pass);
+ gjk.getsupport(best->n, *w);
+ const btScalar wdist = btDot(best->n, w->w) - best->d;
+ if (wdist > EPA_ACCURACY)
+ {
+ for (U j = 0; (j < 3) && valid; ++j)
+ {
+ valid &= expand(pass, w,
+ best->f[j], best->e[j],
+ horizon);
+ }
+ if (valid && (horizon.nf >= 3))
+ {
+ bind(horizon.cf, 1, horizon.ff, 2);
+ remove(m_hull, best);
+ append(m_stock, best);
+ best = findbest();
+ outer = *best;
+ }
+ else
+ {
+ m_status = eEpaInvalidHull;
+ break;
+ }
+ }
+ else
+ {
+ m_status = eEpaAccuraryReached;
+ break;
+ }
+ }
+ else
+ {
+ m_status = eEpaOutOfVertices;
+ break;
+ }
+ }
+ const btVector3 projection = outer.n * outer.d;
+ m_normal = outer.n;
+ m_depth = outer.d;
+ m_result.rank = 3;
+ m_result.c[0] = outer.c[0];
+ m_result.c[1] = outer.c[1];
+ m_result.c[2] = outer.c[2];
+ m_result.p[0] = btCross(outer.c[1]->w - projection,
+ outer.c[2]->w - projection)
+ .length();
+ m_result.p[1] = btCross(outer.c[2]->w - projection,
+ outer.c[0]->w - projection)
+ .length();
+ m_result.p[2] = btCross(outer.c[0]->w - projection,
+ outer.c[1]->w - projection)
+ .length();
+ const btScalar sum = m_result.p[0] + m_result.p[1] + m_result.p[2];
+ m_result.p[0] /= sum;
+ m_result.p[1] /= sum;
+ m_result.p[2] /= sum;
+ return (m_status);
+ }
+ }
+ /* Fallback */
+ m_status = eEpaFallBack;
+ m_normal = -guess;
+ const btScalar nl = m_normal.length();
+ if (nl > 0)
+ m_normal = m_normal / nl;
+ else
+ m_normal = btVector3(1, 0, 0);
+ m_depth = 0;
+ m_result.rank = 1;
+ m_result.c[0] = simplex.c[0];
+ m_result.p[0] = 1;
+ return (m_status);
+ }
+ bool getedgedist(sFace* face, typename GJK<btConvexTemplate>::sSV* a, typename GJK<btConvexTemplate>::sSV* b, btScalar& dist)
+ {
+ const btVector3 ba = b->w - a->w;
+ const btVector3 n_ab = btCross(ba, face->n); // Outward facing edge normal direction, on triangle plane
+ const btScalar a_dot_nab = btDot(a->w, n_ab); // Only care about the sign to determine inside/outside, so not normalization required
+
+ if (a_dot_nab < 0)
+ {
+ // Outside of edge a->b
+
+ const btScalar ba_l2 = ba.length2();
+ const btScalar a_dot_ba = btDot(a->w, ba);
+ const btScalar b_dot_ba = btDot(b->w, ba);
+
+ if (a_dot_ba > 0)
+ {
+ // Pick distance vertex a
+ dist = a->w.length();
+ }
+ else if (b_dot_ba < 0)
+ {
+ // Pick distance vertex b
+ dist = b->w.length();
+ }
+ else
+ {
+ // Pick distance to edge a->b
+ const btScalar a_dot_b = btDot(a->w, b->w);
+ dist = btSqrt(btMax((a->w.length2() * b->w.length2() - a_dot_b * a_dot_b) / ba_l2, (btScalar)0));
+ }
+
+ return true;
+ }
+
+ return false;
+ }
+ sFace* newface(typename GJK<btConvexTemplate>::sSV* a, typename GJK<btConvexTemplate>::sSV* b, typename GJK<btConvexTemplate>::sSV* c, bool forced)
+ {
+ if (m_stock.root)
+ {
+ sFace* face = m_stock.root;
+ remove(m_stock, face);
+ append(m_hull, face);
+ face->pass = 0;
+ face->c[0] = a;
+ face->c[1] = b;
+ face->c[2] = c;
+ face->n = btCross(b->w - a->w, c->w - a->w);
+ const btScalar l = face->n.length();
+ const bool v = l > EPA_ACCURACY;
+
+ if (v)
+ {
+ if (!(getedgedist(face, a, b, face->d) ||
+ getedgedist(face, b, c, face->d) ||
+ getedgedist(face, c, a, face->d)))
+ {
+ // Origin projects to the interior of the triangle
+ // Use distance to triangle plane
+ face->d = btDot(a->w, face->n) / l;
+ }
+
+ face->n /= l;
+ if (forced || (face->d >= -EPA_PLANE_EPS))
+ {
+ return face;
+ }
+ else
+ m_status = eEpaNonConvex;
+ }
+ else
+ m_status = eEpaDegenerated;
+
+ remove(m_hull, face);
+ append(m_stock, face);
+ return 0;
+ }
+ m_status = m_stock.root ? eEpaOutOfVertices : eEpaOutOfFaces;
+ return 0;
+ }
+ sFace* findbest()
+ {
+ sFace* minf = m_hull.root;
+ btScalar mind = minf->d * minf->d;
+ for (sFace* f = minf->l[1]; f; f = f->l[1])
+ {
+ const btScalar sqd = f->d * f->d;
+ if (sqd < mind)
+ {
+ minf = f;
+ mind = sqd;
+ }
+ }
+ return (minf);
+ }
+ bool expand(U pass, typename GJK<btConvexTemplate>::sSV* w, sFace* f, U e, sHorizon& horizon)
+ {
+ static const U i1m3[] = {1, 2, 0};
+ static const U i2m3[] = {2, 0, 1};
+ if (f->pass != pass)
+ {
+ const U e1 = i1m3[e];
+ if ((btDot(f->n, w->w) - f->d) < -EPA_PLANE_EPS)
+ {
+ sFace* nf = newface(f->c[e1], f->c[e], w, false);
+ if (nf)
+ {
+ bind(nf, 0, f, e);
+ if (horizon.cf)
+ bind(horizon.cf, 1, nf, 2);
+ else
+ horizon.ff = nf;
+ horizon.cf = nf;
+ ++horizon.nf;
+ return (true);
+ }
+ }
+ else
+ {
+ const U e2 = i2m3[e];
+ f->pass = (U1)pass;
+ if (expand(pass, w, f->f[e1], f->e[e1], horizon) &&
+ expand(pass, w, f->f[e2], f->e[e2], horizon))
+ {
+ remove(m_hull, f);
+ append(m_stock, f);
+ return (true);
+ }
+ }
+ }
+ return (false);
+ }
+};
- // EPA
template <typename btConvexTemplate>
- struct EPA
- {
- /* Types */
-
- struct sFace
- {
- btVector3 n;
- btScalar d;
- typename GJK<btConvexTemplate>::sSV* c[3];
- sFace* f[3];
- sFace* l[2];
- U1 e[3];
- U1 pass;
- };
- struct sList
- {
- sFace* root;
- U count;
- sList() : root(0),count(0) {}
- };
- struct sHorizon
- {
- sFace* cf;
- sFace* ff;
- U nf;
- sHorizon() : cf(0),ff(0),nf(0) {}
- };
-
- /* Fields */
- eEpaStatus m_status;
- typename GJK<btConvexTemplate>::sSimplex m_result;
- btVector3 m_normal;
- btScalar m_depth;
- typename GJK<btConvexTemplate>::sSV m_sv_store[EPA_MAX_VERTICES];
- sFace m_fc_store[EPA_MAX_FACES];
- U m_nextsv;
- sList m_hull;
- sList m_stock;
- /* Methods */
- EPA()
- {
- Initialize();
- }
-
-
- static inline void bind(sFace* fa,U ea,sFace* fb,U eb)
- {
- fa->e[ea]=(U1)eb;fa->f[ea]=fb;
- fb->e[eb]=(U1)ea;fb->f[eb]=fa;
- }
- static inline void append(sList& list,sFace* face)
- {
- face->l[0] = 0;
- face->l[1] = list.root;
- if(list.root) list.root->l[0]=face;
- list.root = face;
- ++list.count;
- }
- static inline void remove(sList& list,sFace* face)
- {
- if(face->l[1]) face->l[1]->l[0]=face->l[0];
- if(face->l[0]) face->l[0]->l[1]=face->l[1];
- if(face==list.root) list.root=face->l[1];
- --list.count;
- }
-
-
- void Initialize()
- {
- m_status = eEpaFailed;
- m_normal = btVector3(0,0,0);
- m_depth = 0;
- m_nextsv = 0;
- for(U i=0;i<EPA_MAX_FACES;++i)
- {
- append(m_stock,&m_fc_store[EPA_MAX_FACES-i-1]);
- }
- }
- eEpaStatus Evaluate(GJK<btConvexTemplate>& gjk,const btVector3& guess)
- {
- typename GJK<btConvexTemplate>::sSimplex& simplex=*gjk.m_simplex;
- if((simplex.rank>1)&&gjk.EncloseOrigin())
- {
-
- /* Clean up */
- while(m_hull.root)
- {
- sFace* f = m_hull.root;
- remove(m_hull,f);
- append(m_stock,f);
- }
- m_status = eEpaValid;
- m_nextsv = 0;
- /* Orient simplex */
- if(gjk.det( simplex.c[0]->w-simplex.c[3]->w,
- simplex.c[1]->w-simplex.c[3]->w,
- simplex.c[2]->w-simplex.c[3]->w)<0)
- {
- btSwap(simplex.c[0],simplex.c[1]);
- btSwap(simplex.p[0],simplex.p[1]);
- }
- /* Build initial hull */
- sFace* tetra[]={newface(simplex.c[0],simplex.c[1],simplex.c[2],true),
- newface(simplex.c[1],simplex.c[0],simplex.c[3],true),
- newface(simplex.c[2],simplex.c[1],simplex.c[3],true),
- newface(simplex.c[0],simplex.c[2],simplex.c[3],true)};
- if(m_hull.count==4)
- {
- sFace* best=findbest();
- sFace outer=*best;
- U pass=0;
- U iterations=0;
- bind(tetra[0],0,tetra[1],0);
- bind(tetra[0],1,tetra[2],0);
- bind(tetra[0],2,tetra[3],0);
- bind(tetra[1],1,tetra[3],2);
- bind(tetra[1],2,tetra[2],1);
- bind(tetra[2],2,tetra[3],1);
- m_status=eEpaValid;
- for(;iterations<EPA_MAX_ITERATIONS;++iterations)
- {
- if(m_nextsv<EPA_MAX_VERTICES)
- {
- sHorizon horizon;
- typename GJK<btConvexTemplate>::sSV* w=&m_sv_store[m_nextsv++];
- bool valid=true;
- best->pass = (U1)(++pass);
- gjk.getsupport(best->n,*w);
- const btScalar wdist=btDot(best->n,w->w)-best->d;
- if(wdist>EPA_ACCURACY)
- {
- for(U j=0;(j<3)&&valid;++j)
- {
- valid&=expand( pass,w,
- best->f[j],best->e[j],
- horizon);
- }
- if(valid&&(horizon.nf>=3))
- {
- bind(horizon.cf,1,horizon.ff,2);
- remove(m_hull,best);
- append(m_stock,best);
- best=findbest();
- outer=*best;
- } else { m_status=eEpaInvalidHull;break; }
- } else { m_status=eEpaAccuraryReached;break; }
- } else { m_status=eEpaOutOfVertices;break; }
- }
- const btVector3 projection=outer.n*outer.d;
- m_normal = outer.n;
- m_depth = outer.d;
- m_result.rank = 3;
- m_result.c[0] = outer.c[0];
- m_result.c[1] = outer.c[1];
- m_result.c[2] = outer.c[2];
- m_result.p[0] = btCross( outer.c[1]->w-projection,
- outer.c[2]->w-projection).length();
- m_result.p[1] = btCross( outer.c[2]->w-projection,
- outer.c[0]->w-projection).length();
- m_result.p[2] = btCross( outer.c[0]->w-projection,
- outer.c[1]->w-projection).length();
- const btScalar sum=m_result.p[0]+m_result.p[1]+m_result.p[2];
- m_result.p[0] /= sum;
- m_result.p[1] /= sum;
- m_result.p[2] /= sum;
- return(m_status);
- }
- }
- /* Fallback */
- m_status = eEpaFallBack;
- m_normal = -guess;
- const btScalar nl=m_normal.length();
- if(nl>0)
- m_normal = m_normal/nl;
- else
- m_normal = btVector3(1,0,0);
- m_depth = 0;
- m_result.rank=1;
- m_result.c[0]=simplex.c[0];
- m_result.p[0]=1;
- return(m_status);
- }
- bool getedgedist(sFace* face, typename GJK<btConvexTemplate>::sSV* a, typename GJK<btConvexTemplate>::sSV* b, btScalar& dist)
- {
- const btVector3 ba = b->w - a->w;
- const btVector3 n_ab = btCross(ba, face->n); // Outward facing edge normal direction, on triangle plane
- const btScalar a_dot_nab = btDot(a->w, n_ab); // Only care about the sign to determine inside/outside, so not normalization required
-
- if(a_dot_nab < 0)
- {
- // Outside of edge a->b
-
- const btScalar ba_l2 = ba.length2();
- const btScalar a_dot_ba = btDot(a->w, ba);
- const btScalar b_dot_ba = btDot(b->w, ba);
-
- if(a_dot_ba > 0)
- {
- // Pick distance vertex a
- dist = a->w.length();
- }
- else if(b_dot_ba < 0)
- {
- // Pick distance vertex b
- dist = b->w.length();
- }
- else
- {
- // Pick distance to edge a->b
- const btScalar a_dot_b = btDot(a->w, b->w);
- dist = btSqrt(btMax((a->w.length2() * b->w.length2() - a_dot_b * a_dot_b) / ba_l2, (btScalar)0));
- }
-
- return true;
- }
-
- return false;
- }
- sFace* newface(typename GJK<btConvexTemplate>::sSV* a,typename GJK<btConvexTemplate>::sSV* b,typename GJK<btConvexTemplate>::sSV* c,bool forced)
- {
- if(m_stock.root)
- {
- sFace* face=m_stock.root;
- remove(m_stock,face);
- append(m_hull,face);
- face->pass = 0;
- face->c[0] = a;
- face->c[1] = b;
- face->c[2] = c;
- face->n = btCross(b->w-a->w,c->w-a->w);
- const btScalar l=face->n.length();
- const bool v=l>EPA_ACCURACY;
-
- if(v)
- {
- if(!(getedgedist(face, a, b, face->d) ||
- getedgedist(face, b, c, face->d) ||
- getedgedist(face, c, a, face->d)))
- {
- // Origin projects to the interior of the triangle
- // Use distance to triangle plane
- face->d = btDot(a->w, face->n) / l;
- }
-
- face->n /= l;
- if(forced || (face->d >= -EPA_PLANE_EPS))
- {
- return face;
- }
- else
- m_status=eEpaNonConvex;
- }
- else
- m_status=eEpaDegenerated;
-
- remove(m_hull, face);
- append(m_stock, face);
- return 0;
-
- }
- m_status = m_stock.root ? eEpaOutOfVertices : eEpaOutOfFaces;
- return 0;
- }
- sFace* findbest()
- {
- sFace* minf=m_hull.root;
- btScalar mind=minf->d*minf->d;
- for(sFace* f=minf->l[1];f;f=f->l[1])
- {
- const btScalar sqd=f->d*f->d;
- if(sqd<mind)
- {
- minf=f;
- mind=sqd;
- }
- }
- return(minf);
- }
- bool expand(U pass,typename GJK<btConvexTemplate>::sSV* w,sFace* f,U e,sHorizon& horizon)
- {
- static const U i1m3[]={1,2,0};
- static const U i2m3[]={2,0,1};
- if(f->pass!=pass)
- {
- const U e1=i1m3[e];
- if((btDot(f->n,w->w)-f->d)<-EPA_PLANE_EPS)
- {
- sFace* nf=newface(f->c[e1],f->c[e],w,false);
- if(nf)
- {
- bind(nf,0,f,e);
- if(horizon.cf) bind(horizon.cf,1,nf,2); else horizon.ff=nf;
- horizon.cf=nf;
- ++horizon.nf;
- return(true);
- }
- }
- else
- {
- const U e2=i2m3[e];
- f->pass = (U1)pass;
- if( expand(pass,w,f->f[e1],f->e[e1],horizon)&&
- expand(pass,w,f->f[e2],f->e[e2],horizon))
- {
- remove(m_hull,f);
- append(m_stock,f);
- return(true);
- }
- }
- }
- return(false);
- }
-
- };
-
- template <typename btConvexTemplate>
- static void Initialize( const btConvexTemplate& a, const btConvexTemplate& b,
- btGjkEpaSolver3::sResults& results,
- MinkowskiDiff<btConvexTemplate>& shape)
- {
- /* Results */
- results.witnesses[0] =
- results.witnesses[1] = btVector3(0,0,0);
- results.status = btGjkEpaSolver3::sResults::Separated;
- /* Shape */
-
- shape.m_toshape1 = b.getWorldTransform().getBasis().transposeTimes(a.getWorldTransform().getBasis());
- shape.m_toshape0 = a.getWorldTransform().inverseTimes(b.getWorldTransform());
-
- }
-
+static void Initialize(const btConvexTemplate& a, const btConvexTemplate& b,
+ btGjkEpaSolver3::sResults& results,
+ MinkowskiDiff<btConvexTemplate>& shape)
+{
+ /* Results */
+ results.witnesses[0] =
+ results.witnesses[1] = btVector3(0, 0, 0);
+ results.status = btGjkEpaSolver3::sResults::Separated;
+ /* Shape */
+
+ shape.m_toshape1 = b.getWorldTransform().getBasis().transposeTimes(a.getWorldTransform().getBasis());
+ shape.m_toshape0 = a.getWorldTransform().inverseTimes(b.getWorldTransform());
+}
//
// Api
//
-
-
//
template <typename btConvexTemplate>
-bool btGjkEpaSolver3_Distance(const btConvexTemplate& a, const btConvexTemplate& b,
- const btVector3& guess,
- btGjkEpaSolver3::sResults& results)
+bool btGjkEpaSolver3_Distance(const btConvexTemplate& a, const btConvexTemplate& b,
+ const btVector3& guess,
+ btGjkEpaSolver3::sResults& results)
{
- MinkowskiDiff<btConvexTemplate> shape(a,b);
- Initialize(a,b,results,shape);
- GJK<btConvexTemplate> gjk(a,b);
- eGjkStatus gjk_status=gjk.Evaluate(shape,guess);
- if(gjk_status==eGjkValid)
- {
- btVector3 w0=btVector3(0,0,0);
- btVector3 w1=btVector3(0,0,0);
- for(U i=0;i<gjk.m_simplex->rank;++i)
- {
- const btScalar p=gjk.m_simplex->p[i];
- w0+=shape.Support( gjk.m_simplex->c[i]->d,0)*p;
- w1+=shape.Support(-gjk.m_simplex->c[i]->d,1)*p;
- }
- results.witnesses[0] = a.getWorldTransform()*w0;
- results.witnesses[1] = a.getWorldTransform()*w1;
- results.normal = w0-w1;
- results.distance = results.normal.length();
- results.normal /= results.distance>GJK_MIN_DISTANCE?results.distance:1;
- return(true);
- }
- else
- {
- results.status = gjk_status==eGjkInside?
- btGjkEpaSolver3::sResults::Penetrating :
- btGjkEpaSolver3::sResults::GJK_Failed ;
- return(false);
- }
+ MinkowskiDiff<btConvexTemplate> shape(a, b);
+ Initialize(a, b, results, shape);
+ GJK<btConvexTemplate> gjk(a, b);
+ eGjkStatus gjk_status = gjk.Evaluate(shape, guess);
+ if (gjk_status == eGjkValid)
+ {
+ btVector3 w0 = btVector3(0, 0, 0);
+ btVector3 w1 = btVector3(0, 0, 0);
+ for (U i = 0; i < gjk.m_simplex->rank; ++i)
+ {
+ const btScalar p = gjk.m_simplex->p[i];
+ w0 += shape.Support(gjk.m_simplex->c[i]->d, 0) * p;
+ w1 += shape.Support(-gjk.m_simplex->c[i]->d, 1) * p;
+ }
+ results.witnesses[0] = a.getWorldTransform() * w0;
+ results.witnesses[1] = a.getWorldTransform() * w1;
+ results.normal = w0 - w1;
+ results.distance = results.normal.length();
+ results.normal /= results.distance > GJK_MIN_DISTANCE ? results.distance : 1;
+ return (true);
+ }
+ else
+ {
+ results.status = gjk_status == eGjkInside ? btGjkEpaSolver3::sResults::Penetrating : btGjkEpaSolver3::sResults::GJK_Failed;
+ return (false);
+ }
}
-
template <typename btConvexTemplate>
-bool btGjkEpaSolver3_Penetration(const btConvexTemplate& a,
- const btConvexTemplate& b,
- const btVector3& guess,
- btGjkEpaSolver3::sResults& results)
+bool btGjkEpaSolver3_Penetration(const btConvexTemplate& a,
+ const btConvexTemplate& b,
+ const btVector3& guess,
+ btGjkEpaSolver3::sResults& results)
{
- MinkowskiDiff<btConvexTemplate> shape(a,b);
- Initialize(a,b,results,shape);
- GJK<btConvexTemplate> gjk(a,b);
- eGjkStatus gjk_status=gjk.Evaluate(shape,-guess);
- switch(gjk_status)
- {
- case eGjkInside:
- {
- EPA<btConvexTemplate> epa;
- eEpaStatus epa_status=epa.Evaluate(gjk,-guess);
- if(epa_status!=eEpaFailed)
- {
- btVector3 w0=btVector3(0,0,0);
- for(U i=0;i<epa.m_result.rank;++i)
- {
- w0+=shape.Support(epa.m_result.c[i]->d,0)*epa.m_result.p[i];
- }
- results.status = btGjkEpaSolver3::sResults::Penetrating;
- results.witnesses[0] = a.getWorldTransform()*w0;
- results.witnesses[1] = a.getWorldTransform()*(w0-epa.m_normal*epa.m_depth);
- results.normal = -epa.m_normal;
- results.distance = -epa.m_depth;
- return(true);
- } else results.status=btGjkEpaSolver3::sResults::EPA_Failed;
- }
- break;
- case eGjkFailed:
- results.status=btGjkEpaSolver3::sResults::GJK_Failed;
- break;
- default:
- {
- }
- }
- return(false);
+ MinkowskiDiff<btConvexTemplate> shape(a, b);
+ Initialize(a, b, results, shape);
+ GJK<btConvexTemplate> gjk(a, b);
+ eGjkStatus gjk_status = gjk.Evaluate(shape, -guess);
+ switch (gjk_status)
+ {
+ case eGjkInside:
+ {
+ EPA<btConvexTemplate> epa;
+ eEpaStatus epa_status = epa.Evaluate(gjk, -guess);
+ if (epa_status != eEpaFailed)
+ {
+ btVector3 w0 = btVector3(0, 0, 0);
+ for (U i = 0; i < epa.m_result.rank; ++i)
+ {
+ w0 += shape.Support(epa.m_result.c[i]->d, 0) * epa.m_result.p[i];
+ }
+ results.status = btGjkEpaSolver3::sResults::Penetrating;
+ results.witnesses[0] = a.getWorldTransform() * w0;
+ results.witnesses[1] = a.getWorldTransform() * (w0 - epa.m_normal * epa.m_depth);
+ results.normal = -epa.m_normal;
+ results.distance = -epa.m_depth;
+ return (true);
+ }
+ else
+ results.status = btGjkEpaSolver3::sResults::EPA_Failed;
+ }
+ break;
+ case eGjkFailed:
+ results.status = btGjkEpaSolver3::sResults::GJK_Failed;
+ break;
+ default:
+ {
+ }
+ }
+ return (false);
}
#if 0
@@ -990,28 +1021,28 @@ int btComputeGjkEpaPenetration2(const btCollisionDescription& colDesc, btDistanc
#endif
template <typename btConvexTemplate, typename btDistanceInfoTemplate>
-int btComputeGjkDistance(const btConvexTemplate& a, const btConvexTemplate& b,
- const btGjkCollisionDescription& colDesc, btDistanceInfoTemplate* distInfo)
+int btComputeGjkDistance(const btConvexTemplate& a, const btConvexTemplate& b,
+ const btGjkCollisionDescription& colDesc, btDistanceInfoTemplate* distInfo)
{
- btGjkEpaSolver3::sResults results;
- btVector3 guess = colDesc.m_firstDir;
-
- bool isSeparated = btGjkEpaSolver3_Distance( a,b,
- guess,
- results);
- if (isSeparated)
- {
- distInfo->m_distance = results.distance;
- distInfo->m_pointOnA= results.witnesses[0];
- distInfo->m_pointOnB= results.witnesses[1];
- distInfo->m_normalBtoA= results.normal;
- return 0;
- }
-
- return -1;
+ btGjkEpaSolver3::sResults results;
+ btVector3 guess = colDesc.m_firstDir;
+
+ bool isSeparated = btGjkEpaSolver3_Distance(a, b,
+ guess,
+ results);
+ if (isSeparated)
+ {
+ distInfo->m_distance = results.distance;
+ distInfo->m_pointOnA = results.witnesses[0];
+ distInfo->m_pointOnB = results.witnesses[1];
+ distInfo->m_normalBtoA = results.normal;
+ return 0;
+ }
+
+ return -1;
}
-/* Symbols cleanup */
+/* Symbols cleanup */
#undef GJK_MAX_ITERATIONS
#undef GJK_ACCURARY
@@ -1029,7 +1060,4 @@ int btComputeGjkDistance(const btConvexTemplate& a, const btConvexTemplate& b,
#undef EPA_PLANE_EPS
#undef EPA_INSIDE_EPS
-
-
-#endif //BT_GJK_EPA3_H
-
+#endif //BT_GJK_EPA3_H
generated by cgit v1.2.3 (git 2.25.1) at 2024-12-13 02:55:26 +0000