diff options
Diffstat (limited to 'extern/bullet2/src/BulletCollision/NarrowPhaseCollision/btGjkEpa2.cpp')
| -rw-r--r-- | extern/bullet2/src/BulletCollision/NarrowPhaseCollision/btGjkEpa2.cpp | 943 |
1 files changed, 0 insertions, 943 deletions
diff --git a/extern/bullet2/src/BulletCollision/NarrowPhaseCollision/btGjkEpa2.cpp b/extern/bullet2/src/BulletCollision/NarrowPhaseCollision/btGjkEpa2.cpp deleted file mode 100644 index ccfc22ee673..00000000000 --- a/extern/bullet2/src/BulletCollision/NarrowPhaseCollision/btGjkEpa2.cpp +++ /dev/null @@ -1,943 +0,0 @@ -/* -Bullet Continuous Collision Detection and Physics Library -Copyright (c) 2003-2008 Erwin Coumans http://continuousphysics.com/Bullet/ - -This software is provided 'as-is', without any express or implied warranty. -In no event will the authors be held liable for any damages arising from the -use of this software. -Permission is granted to anyone to use this software for any purpose, -including commercial applications, and to alter it and redistribute it -freely, -subject to the following restrictions: - -1. The origin of this software must not be misrepresented; you must not -claim that you wrote the original software. If you use this software in a -product, an acknowledgment in the product documentation would be appreciated -but is not required. -2. Altered source versions must be plainly marked as such, and must not be -misrepresented as being the original software. -3. This notice may not be removed or altered from any source distribution. -*/ - -/* -GJK-EPA collision solver by Nathanael Presson, 2008 -*/ -#include "BulletCollision/CollisionShapes/btConvexInternalShape.h" -#include "BulletCollision/CollisionShapes/btSphereShape.h" -#include "btGjkEpa2.h" - -#if defined(DEBUG) || defined (_DEBUG) -#include <stdio.h> //for debug printf -#ifdef __SPU__ -#include <spu_printf.h> -#define printf spu_printf -#endif //__SPU__ -#endif - -namespace gjkepa2_impl -{ - -// 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 -struct MinkowskiDiff - { - const btConvexShape* m_shapes[2]; - btMatrix3x3 m_toshape1; - btTransform m_toshape0; - btVector3 (btConvexShape::*Ls)(const btVector3&) const; - void EnableMargin(bool enable) - { - if(enable) - Ls=&btConvexShape::localGetSupportingVertex; - else - Ls=&btConvexShape::localGetSupportingVertexWithoutMargin; - } - inline btVector3 Support0(const btVector3& d) const - { - return(((m_shapes[0])->*(Ls))(d)); - } - inline btVector3 Support1(const btVector3& d) const - { - return(m_toshape0*((m_shapes[1])->*(Ls))(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)); - } - }; - -typedef MinkowskiDiff tShape; - - -// GJK -struct GJK -{ -/* Types */ -struct sSV - { - btVector3 d,w; - }; -struct sSimplex - { - sSV* c[4]; - btScalar p[4]; - U rank; - }; -struct eStatus { enum _ { - Valid, - Inside, - Failed };}; -/* Fields */ -tShape 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; -eStatus::_ m_status; -/* Methods */ - GJK() - { - Initialize(); - } -void Initialize() - { - m_ray = btVector3(0,0,0); - m_nfree = 0; - m_status = eStatus::Failed; - m_current = 0; - m_distance = 0; - } -eStatus::_ Evaluate(const tShape& 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 = eStatus::Valid; - 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=eStatus::Inside; - 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=dot(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=eStatus::Inside; - } - else - {/* Return old simplex */ - removevertice(m_simplices[m_current]); - break; - } - m_status=((++iterations)<GJK_MAX_ITERATIONS)?m_status:eStatus::Failed; - } while(m_status==eStatus::Valid); - m_simplex=&m_simplices[m_current]; - switch(m_status) - { - case eStatus::Valid: m_distance=m_ray.length();break; - case eStatus::Inside: m_distance=0;break; - } - 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=cross(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=cross(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?-dot(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=cross(dl[0],dl[1]); - const btScalar l=n.length2(); - if(l>GJK_SIMPLEX3_EPS) - { - btScalar mindist=-1; - btScalar subw[2]; - U subm; - for(U i=0;i<3;++i) - { - if(dot(*vt[i],cross(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=dot(a,n); - const btScalar s=btSqrt(l); - const btVector3 p=n*(d/l); - mindist = p.length2(); - m = 7; - w[0] = (cross(dl[1],b-p)).length()/s; - w[1] = (cross(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*dot(a,cross(b-c,a-b)))<=0; - if(ng&&(btFabs(vl)>GJK_SIMPLEX4_EPS)) - { - btScalar mindist=-1; - btScalar subw[3]; - U subm; - for(U i=0;i<3;++i) - { - const U j=imd3[i]; - const btScalar s=vl*dot(d,cross(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); - } -}; - -// EPA -struct EPA -{ -/* Types */ -typedef GJK::sSV sSV; -struct sFace - { - btVector3 n; - btScalar d; - btScalar p; - 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) {} - }; -struct eStatus { enum _ { - Valid, - Touching, - Degenerated, - NonConvex, - InvalidHull, - OutOfFaces, - OutOfVertices, - AccuraryReached, - FallBack, - Failed };}; -/* Fields */ -eStatus::_ m_status; -GJK::sSimplex m_result; -btVector3 m_normal; -btScalar m_depth; -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 = eStatus::Failed; - 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]); - } - } -eStatus::_ Evaluate(GJK& gjk,const btVector3& guess) - { - GJK::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 = eStatus::Valid; - 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=eStatus::Valid; - for(;iterations<EPA_MAX_ITERATIONS;++iterations) - { - if(m_nextsv<EPA_MAX_VERTICES) - { - sHorizon horizon; - sSV* w=&m_sv_store[m_nextsv++]; - bool valid=true; - best->pass = (U1)(++pass); - gjk.getsupport(best->n,*w); - const btScalar wdist=dot(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(); - if(best->p>=outer.p) outer=*best; - } else { m_status=eStatus::InvalidHull;break; } - } else { m_status=eStatus::AccuraryReached;break; } - } else { m_status=eStatus::OutOfVertices;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] = cross( outer.c[1]->w-projection, - outer.c[2]->w-projection).length(); - m_result.p[1] = cross( outer.c[2]->w-projection, - outer.c[0]->w-projection).length(); - m_result.p[2] = cross( 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 = eStatus::FallBack; - 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); - } -sFace* newface(sSV* a,sSV* b,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 = cross(b->w-a->w,c->w-a->w); - const btScalar l=face->n.length(); - const bool v=l>EPA_ACCURACY; - face->p = btMin(btMin( - dot(a->w,cross(face->n,a->w-b->w)), - dot(b->w,cross(face->n,b->w-c->w))), - dot(c->w,cross(face->n,c->w-a->w))) / - (v?l:1); - face->p = face->p>=-EPA_INSIDE_EPS?0:face->p; - if(v) - { - face->d = dot(a->w,face->n)/l; - face->n /= l; - if(forced||(face->d>=-EPA_PLANE_EPS)) - { - return(face); - } else m_status=eStatus::NonConvex; - } else m_status=eStatus::Degenerated; - remove(m_hull,face); - append(m_stock,face); - return(0); - } - m_status=m_stock.root?eStatus::OutOfVertices:eStatus::OutOfFaces; - return(0); - } -sFace* findbest() - { - sFace* minf=m_hull.root; - btScalar mind=minf->d*minf->d; - btScalar maxp=minf->p; - for(sFace* f=minf->l[1];f;f=f->l[1]) - { - const btScalar sqd=f->d*f->d; - if((f->p>=maxp)&&(sqd<mind)) - { - minf=f; - mind=sqd; - maxp=f->p; - } - } - return(minf); - } -bool expand(U pass,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((dot(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); - } - -}; - -// -static void Initialize( const btConvexShape* shape0,const btTransform& wtrs0, - const btConvexShape* shape1,const btTransform& wtrs1, - btGjkEpaSolver2::sResults& results, - tShape& shape, - bool withmargins) -{ -/* Results */ -results.witnesses[0] = -results.witnesses[1] = btVector3(0,0,0); -results.status = btGjkEpaSolver2::sResults::Separated; -/* Shape */ -shape.m_shapes[0] = shape0; -shape.m_shapes[1] = shape1; -shape.m_toshape1 = wtrs1.getBasis().transposeTimes(wtrs0.getBasis()); -shape.m_toshape0 = wtrs0.inverseTimes(wtrs1); -shape.EnableMargin(withmargins); -} - -} - -// -// Api -// - -using namespace gjkepa2_impl; - -// -int btGjkEpaSolver2::StackSizeRequirement() -{ -return(sizeof(GJK)+sizeof(EPA)); -} - -// -bool btGjkEpaSolver2::Distance( const btConvexShape* shape0, - const btTransform& wtrs0, - const btConvexShape* shape1, - const btTransform& wtrs1, - const btVector3& guess, - sResults& results) -{ -tShape shape; -Initialize(shape0,wtrs0,shape1,wtrs1,results,shape,false); -GJK gjk; -GJK::eStatus::_ gjk_status=gjk.Evaluate(shape,guess); -if(gjk_status==GJK::eStatus::Valid) - { - 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] = wtrs0*w0; - results.witnesses[1] = wtrs0*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==GJK::eStatus::Inside? - sResults::Penetrating : - sResults::GJK_Failed ; - return(false); - } -} - -// -bool btGjkEpaSolver2::Penetration( const btConvexShape* shape0, - const btTransform& wtrs0, - const btConvexShape* shape1, - const btTransform& wtrs1, - const btVector3& guess, - sResults& results, - bool usemargins) -{ -tShape shape; -Initialize(shape0,wtrs0,shape1,wtrs1,results,shape,usemargins); -GJK gjk; -GJK::eStatus::_ gjk_status=gjk.Evaluate(shape,-guess); -switch(gjk_status) - { - case GJK::eStatus::Inside: - { - EPA epa; - EPA::eStatus::_ epa_status=epa.Evaluate(gjk,-guess); - if(epa_status!=EPA::eStatus::Failed) - { - 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 = sResults::Penetrating; - results.witnesses[0] = wtrs0*w0; - results.witnesses[1] = wtrs0*(w0-epa.m_normal*epa.m_depth); - results.normal = -epa.m_normal; - results.distance = -epa.m_depth; - return(true); - } else results.status=sResults::EPA_Failed; - } - break; - case GJK::eStatus::Failed: - results.status=sResults::GJK_Failed; - break; - } -return(false); -} - -// -btScalar btGjkEpaSolver2::SignedDistance(const btVector3& position, - btScalar margin, - const btConvexShape* shape0, - const btTransform& wtrs0, - sResults& results) -{ -tShape shape; -btSphereShape shape1(margin); -btTransform wtrs1(btQuaternion(0,0,0,1),position); -Initialize(shape0,wtrs0,&shape1,wtrs1,results,shape,false); -GJK gjk; -GJK::eStatus::_ gjk_status=gjk.Evaluate(shape,btVector3(1,1,1)); -if(gjk_status==GJK::eStatus::Valid) - { - 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] = wtrs0*w0; - results.witnesses[1] = wtrs0*w1; - const btVector3 delta= results.witnesses[1]- - results.witnesses[0]; - const btScalar margin= shape0->getMargin()+ - shape1.getMargin(); - const btScalar length= delta.length(); - results.normal = delta/length; - results.witnesses[0] += results.normal*margin; - return(length-margin); - } - else - { - if(gjk_status==GJK::eStatus::Inside) - { - if(Penetration(shape0,wtrs0,&shape1,wtrs1,gjk.m_ray,results)) - { - const btVector3 delta= results.witnesses[0]- - results.witnesses[1]; - const btScalar length= delta.length(); - if (length >= SIMD_EPSILON) - results.normal = delta/length; - return(-length); - } - } - } -return(SIMD_INFINITY); -} - -// -bool btGjkEpaSolver2::SignedDistance(const btConvexShape* shape0, - const btTransform& wtrs0, - const btConvexShape* shape1, - const btTransform& wtrs1, - const btVector3& guess, - sResults& results) -{ -if(!Distance(shape0,wtrs0,shape1,wtrs1,guess,results)) - return(Penetration(shape0,wtrs0,shape1,wtrs1,guess,results,false)); - else - return(true); -} - -/* Symbols cleanup */ - -#undef GJK_MAX_ITERATIONS -#undef GJK_ACCURARY -#undef GJK_MIN_DISTANCE -#undef GJK_DUPLICATED_EPS -#undef GJK_SIMPLEX2_EPS -#undef GJK_SIMPLEX3_EPS -#undef GJK_SIMPLEX4_EPS - -#undef EPA_MAX_VERTICES -#undef EPA_MAX_FACES -#undef EPA_MAX_ITERATIONS -#undef EPA_ACCURACY -#undef EPA_FALLBACK -#undef EPA_PLANE_EPS -#undef EPA_INSIDE_EPS |