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-rw-r--r--servers/physics/gjk_epa.cpp1399
1 files changed, 663 insertions, 736 deletions
diff --git a/servers/physics/gjk_epa.cpp b/servers/physics/gjk_epa.cpp
index 92ca5ea8d..980ef1763 100644
--- a/servers/physics/gjk_epa.cpp
+++ b/servers/physics/gjk_epa.cpp
@@ -30,471 +30,434 @@
/*************** Bullet's GJK-EPA2 IMPLEMENTATION *******************/
- // Config
+// Config
/* GJK */
-#define GJK_MAX_ITERATIONS 128
-#define GJK_ACCURARY ((real_t)0.0001)
-#define GJK_MIN_DISTANCE ((real_t)0.0001)
-#define GJK_DUPLICATED_EPS ((real_t)0.0001)
-#define GJK_SIMPLEX2_EPS ((real_t)0.0)
-#define GJK_SIMPLEX3_EPS ((real_t)0.0)
-#define GJK_SIMPLEX4_EPS ((real_t)0.0)
+#define GJK_MAX_ITERATIONS 128
+#define GJK_ACCURARY ((real_t)0.0001)
+#define GJK_MIN_DISTANCE ((real_t)0.0001)
+#define GJK_DUPLICATED_EPS ((real_t)0.0001)
+#define GJK_SIMPLEX2_EPS ((real_t)0.0)
+#define GJK_SIMPLEX3_EPS ((real_t)0.0)
+#define GJK_SIMPLEX4_EPS ((real_t)0.0)
/* EPA */
-#define EPA_MAX_VERTICES 64
-#define EPA_MAX_FACES (EPA_MAX_VERTICES*2)
-#define EPA_MAX_ITERATIONS 255
-#define EPA_ACCURACY ((real_t)0.0001)
-#define EPA_FALLBACK (10*EPA_ACCURACY)
-#define EPA_PLANE_EPS ((real_t)0.00001)
-#define EPA_INSIDE_EPS ((real_t)0.01)
+#define EPA_MAX_VERTICES 64
+#define EPA_MAX_FACES (EPA_MAX_VERTICES * 2)
+#define EPA_MAX_ITERATIONS 255
+#define EPA_ACCURACY ((real_t)0.0001)
+#define EPA_FALLBACK (10 * EPA_ACCURACY)
+#define EPA_PLANE_EPS ((real_t)0.00001)
+#define EPA_INSIDE_EPS ((real_t)0.01)
namespace GjkEpa2 {
-
-struct sResults {
+struct sResults {
enum eStatus {
- Separated, /* Shapes doesnt penetrate */
- Penetrating, /* Shapes are penetrating */
- GJK_Failed, /* GJK phase fail, no big issue, shapes are probably just 'touching' */
+ 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;
- Vector3 witnesses[2];
- Vector3 normal;
- real_t distance;
+ Vector3 witnesses[2];
+ Vector3 normal;
+ real_t distance;
};
// Shorthands
-typedef unsigned int U;
-typedef unsigned char U1;
+typedef unsigned int U;
+typedef unsigned char U1;
// MinkowskiDiff
-struct MinkowskiDiff {
+struct MinkowskiDiff {
- const ShapeSW* m_shapes[2];
+ const ShapeSW *m_shapes[2];
Transform transform_A;
Transform transform_B;
// i wonder how this could be sped up... if it can
- _FORCE_INLINE_ Vector3 Support0 ( const Vector3& d ) const {
- return transform_A.xform( m_shapes[0]->get_support( transform_A.basis.xform_inv(d).normalized() ) );
+ _FORCE_INLINE_ Vector3 Support0(const Vector3 &d) const {
+ return transform_A.xform(m_shapes[0]->get_support(transform_A.basis.xform_inv(d).normalized()));
}
- _FORCE_INLINE_ Vector3 Support1 ( const Vector3& d ) const {
- return transform_B.xform( m_shapes[1]->get_support( transform_B.basis.xform_inv(d).normalized() ) );
+ _FORCE_INLINE_ Vector3 Support1(const Vector3 &d) const {
+ return transform_B.xform(m_shapes[1]->get_support(transform_B.basis.xform_inv(d).normalized()));
}
- _FORCE_INLINE_ Vector3 Support ( const Vector3& d ) const {
- return ( Support0 ( d )-Support1 ( -d ) );
+ _FORCE_INLINE_ Vector3 Support(const Vector3 &d) const {
+ return (Support0(d) - Support1(-d));
}
- _FORCE_INLINE_ Vector3 Support ( const Vector3& d,U index ) const
- {
- if ( index )
- return ( Support1 ( d ) );
+ _FORCE_INLINE_ Vector3 Support(const Vector3 &d, U index) const {
+ if (index)
+ return (Support1(d));
else
- return ( Support0 ( d ) );
+ return (Support0(d));
}
};
-typedef MinkowskiDiff tShape;
-
+typedef MinkowskiDiff tShape;
// GJK
-struct GJK
-{
+struct GJK {
/* Types */
- struct sSV
- {
- Vector3 d,w;
+ struct sSV {
+ Vector3 d, w;
};
- struct sSimplex
- {
- sSV* c[4];
- real_t p[4];
- U rank;
+ struct sSimplex {
+ sSV *c[4];
+ real_t p[4];
+ U rank;
};
- struct eStatus { enum _ {
- Valid,
- Inside,
- Failed };};
- /* Fields */
- tShape m_shape;
- Vector3 m_ray;
- real_t 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 = Vector3(0,0,0);
- m_nfree = 0;
- m_status = eStatus::Failed;
- m_current = 0;
- m_distance = 0;
- }
- eStatus::_ Evaluate(const tShape& shapearg,const Vector3& guess)
- {
- U iterations=0;
- real_t sqdist=0;
- real_t alpha=0;
- Vector3 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 real_t sqrl= m_ray.length_squared();
- appendvertice(m_simplices[0],sqrl>0?-m_ray:Vector3(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 real_t 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 Vector3& w=cs.c[cs.rank-1]->w;
- bool found=false;
- for(U i=0;i<4;++i)
- {
- if((w-lastw[i]).length_squared()<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 real_t omega=vec3_dot(m_ray,w)/rl;
- alpha=MAX(omega,alpha);
- if(((rl-alpha)-(GJK_ACCURARY*rl))<=0)
- {/* Return old simplex */
- removevertice(m_simplices[m_current]);
+ struct eStatus {
+ enum _ {
+ Valid,
+ Inside,
+ Failed
+ };
+ };
+ /* Fields */
+ tShape m_shape;
+ Vector3 m_ray;
+ real_t 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 = Vector3(0, 0, 0);
+ m_nfree = 0;
+ m_status = eStatus::Failed;
+ m_current = 0;
+ m_distance = 0;
+ }
+ eStatus::_ Evaluate(const tShape &shapearg, const Vector3 &guess) {
+ U iterations = 0;
+ real_t sqdist = 0;
+ real_t alpha = 0;
+ Vector3 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 real_t sqrl = m_ray.length_squared();
+ appendvertice(m_simplices[0], sqrl > 0 ? -m_ray : Vector3(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 real_t 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 Vector3 &w = cs.c[cs.rank - 1]->w;
+ bool found = false;
+ for (U i = 0; i < 4; ++i) {
+ if ((w - lastw[i]).length_squared() < GJK_DUPLICATED_EPS) {
+ found = true;
break;
}
- /* Reduce simplex */
- real_t weights[4];
- U mask=0;
- switch(cs.rank)
- {
- case 2: sqdist=projectorigin( cs.c[0]->w,
+ }
+ if (found) { /* Return old simplex */
+ removevertice(m_simplices[m_current]);
+ break;
+ } else { /* Update lastw */
+ lastw[clastw = (clastw + 1) & 3] = w;
+ }
+ /* Check for termination */
+ const real_t omega = vec3_dot(m_ray, w) / rl;
+ alpha = MAX(omega, alpha);
+ if (((rl - alpha) - (GJK_ACCURARY * rl)) <= 0) { /* Return old simplex */
+ removevertice(m_simplices[m_current]);
+ break;
+ }
+ /* Reduce simplex */
+ real_t 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,
+ 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,
+ 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 = Vector3(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;
- default: {}
+ weights, mask);
+ break;
}
- return(m_status);
- }
- bool EncloseOrigin()
- {
- switch(m_simplex->rank)
- {
- case 1:
- {
- for(U i=0;i<3;++i)
- {
- Vector3 axis=Vector3(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);
+ if (sqdist >= 0) { /* Valid */
+ ns.rank = 0;
+ m_ray = Vector3(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;
- case 2:
- {
- const Vector3 d=m_simplex->c[1]->w-m_simplex->c[0]->w;
- for(U i=0;i<3;++i)
- {
- Vector3 axis=Vector3(0,0,0);
- axis[i]=1;
- const Vector3 p=vec3_cross(d,axis);
- if(p.length_squared()>0)
- {
- appendvertice(*m_simplex, p);
- if(EncloseOrigin()) return(true);
- removevertice(*m_simplex);
- appendvertice(*m_simplex,-p);
- if(EncloseOrigin()) return(true);
- removevertice(*m_simplex);
- }
- }
+ }
+ 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;
+ default: {}
+ }
+ return (m_status);
+ }
+ bool EncloseOrigin() {
+ switch (m_simplex->rank) {
+ case 1: {
+ for (U i = 0; i < 3; ++i) {
+ Vector3 axis = Vector3(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 3:
- {
- const Vector3 n=vec3_cross(m_simplex->c[1]->w-m_simplex->c[0]->w,
- m_simplex->c[2]->w-m_simplex->c[0]->w);
- if(n.length_squared()>0)
- {
- appendvertice(*m_simplex,n);
- if(EncloseOrigin()) return(true);
+ } break;
+ case 2: {
+ const Vector3 d = m_simplex->c[1]->w - m_simplex->c[0]->w;
+ for (U i = 0; i < 3; ++i) {
+ Vector3 axis = Vector3(0, 0, 0);
+ axis[i] = 1;
+ const Vector3 p = vec3_cross(d, axis);
+ if (p.length_squared() > 0) {
+ appendvertice(*m_simplex, p);
+ if (EncloseOrigin()) return (true);
removevertice(*m_simplex);
- appendvertice(*m_simplex,-n);
- if(EncloseOrigin()) return(true);
+ appendvertice(*m_simplex, -p);
+ if (EncloseOrigin()) return (true);
removevertice(*m_simplex);
}
}
- break;
- case 4:
- {
- if(Math::abs(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;
+ case 3: {
+ const Vector3 n = vec3_cross(m_simplex->c[1]->w - m_simplex->c[0]->w,
+ m_simplex->c[2]->w - m_simplex->c[0]->w);
+ if (n.length_squared() > 0) {
+ appendvertice(*m_simplex, n);
+ if (EncloseOrigin()) return (true);
+ removevertice(*m_simplex);
+ appendvertice(*m_simplex, -n);
+ if (EncloseOrigin()) return (true);
+ removevertice(*m_simplex);
}
- break;
- }
- return(false);
- }
- /* Internals */
- void getsupport(const Vector3& 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 Vector3& v)
- {
- simplex.p[simplex.rank]=0;
- simplex.c[simplex.rank]=m_free[--m_nfree];
- getsupport(v,*simplex.c[simplex.rank++]);
+ } break;
+ case 4: {
+ if (Math::abs(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;
}
- static real_t det(const Vector3& a,const Vector3& b,const Vector3& 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 real_t projectorigin( const Vector3& a,
- const Vector3& b,
- real_t* w,U& m)
- {
- const Vector3 d=b-a;
- const real_t l=d.length_squared();
- if(l>GJK_SIMPLEX2_EPS)
- {
- const real_t t(l>0?-vec3_dot(a,d)/l:0);
- if(t>=1) { w[0]=0;w[1]=1;m=2;return(b.length_squared()); }
- else if(t<=0) { w[0]=1;w[1]=0;m=1;return(a.length_squared()); }
- else { w[0]=1-(w[1]=t);m=3;return((a+d*t).length_squared()); }
+ return (false);
+ }
+ /* Internals */
+ void getsupport(const Vector3 &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 Vector3 &v) {
+ simplex.p[simplex.rank] = 0;
+ simplex.c[simplex.rank] = m_free[--m_nfree];
+ getsupport(v, *simplex.c[simplex.rank++]);
+ }
+ static real_t det(const Vector3 &a, const Vector3 &b, const Vector3 &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 real_t projectorigin(const Vector3 &a,
+ const Vector3 &b,
+ real_t *w, U &m) {
+ const Vector3 d = b - a;
+ const real_t l = d.length_squared();
+ if (l > GJK_SIMPLEX2_EPS) {
+ const real_t t(l > 0 ? -vec3_dot(a, d) / l : 0);
+ if (t >= 1) {
+ w[0] = 0;
+ w[1] = 1;
+ m = 2;
+ return (b.length_squared());
+ } else if (t <= 0) {
+ w[0] = 1;
+ w[1] = 0;
+ m = 1;
+ return (a.length_squared());
+ } else {
+ w[0] = 1 - (w[1] = t);
+ m = 3;
+ return ((a + d * t).length_squared());
}
- return(-1);
}
- static real_t projectorigin( const Vector3& a,
- const Vector3& b,
- const Vector3& c,
- real_t* w,U& m)
- {
- static const U imd3[]={1,2,0};
- const Vector3* vt[]={&a,&b,&c};
- const Vector3 dl[]={a-b,b-c,c-a};
- const Vector3 n=vec3_cross(dl[0],dl[1]);
- const real_t l=n.length_squared();
- if(l>GJK_SIMPLEX3_EPS)
- {
- real_t mindist=-1;
- real_t subw[2];
- U subm;
- for(U i=0;i<3;++i)
- {
- if(vec3_dot(*vt[i],vec3_cross(dl[i],n))>0)
- {
- const U j=imd3[i];
- const real_t 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;
- }
+ return (-1);
+ }
+ static real_t projectorigin(const Vector3 &a,
+ const Vector3 &b,
+ const Vector3 &c,
+ real_t *w, U &m) {
+ static const U imd3[] = { 1, 2, 0 };
+ const Vector3 *vt[] = { &a, &b, &c };
+ const Vector3 dl[] = { a - b, b - c, c - a };
+ const Vector3 n = vec3_cross(dl[0], dl[1]);
+ const real_t l = n.length_squared();
+ if (l > GJK_SIMPLEX3_EPS) {
+ real_t mindist = -1;
+ real_t subw[2];
+ U subm;
+ for (U i = 0; i < 3; ++i) {
+ if (vec3_dot(*vt[i], vec3_cross(dl[i], n)) > 0) {
+ const U j = imd3[i];
+ const real_t 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 real_t d=vec3_dot(a,n);
- const real_t s=Math::sqrt(l);
- const Vector3 p=n*(d/l);
- mindist = p.length_squared();
- m = 7;
- w[0] = (vec3_cross(dl[1],b-p)).length()/s;
- w[1] = (vec3_cross(dl[2],c-p)).length()/s;
- w[2] = 1-(w[0]+w[1]);
- }
- return(mindist);
}
- return(-1);
+ if (mindist < 0) {
+ const real_t d = vec3_dot(a, n);
+ const real_t s = Math::sqrt(l);
+ const Vector3 p = n * (d / l);
+ mindist = p.length_squared();
+ m = 7;
+ w[0] = (vec3_cross(dl[1], b - p)).length() / s;
+ w[1] = (vec3_cross(dl[2], c - p)).length() / s;
+ w[2] = 1 - (w[0] + w[1]);
+ }
+ return (mindist);
}
- static real_t projectorigin( const Vector3& a,
- const Vector3& b,
- const Vector3& c,
- const Vector3& d,
- real_t* w,U& m)
- {
- static const U imd3[]={1,2,0};
- const Vector3* vt[]={&a,&b,&c,&d};
- const Vector3 dl[]={a-d,b-d,c-d};
- const real_t vl=det(dl[0],dl[1],dl[2]);
- const bool ng=(vl*vec3_dot(a,vec3_cross(b-c,a-b)))<=0;
- if(ng&&(Math::abs(vl)>GJK_SIMPLEX4_EPS))
- {
- real_t mindist=-1;
- real_t subw[3];
- U subm;
- for(U i=0;i<3;++i)
- {
- const U j=imd3[i];
- const real_t s=vl*vec3_dot(d,vec3_cross(dl[i],dl[j]));
- if(s>0)
- {
- const real_t 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];
- }
+ return (-1);
+ }
+ static real_t projectorigin(const Vector3 &a,
+ const Vector3 &b,
+ const Vector3 &c,
+ const Vector3 &d,
+ real_t *w, U &m) {
+ static const U imd3[] = { 1, 2, 0 };
+ const Vector3 *vt[] = { &a, &b, &c, &d };
+ const Vector3 dl[] = { a - d, b - d, c - d };
+ const real_t vl = det(dl[0], dl[1], dl[2]);
+ const bool ng = (vl * vec3_dot(a, vec3_cross(b - c, a - b))) <= 0;
+ if (ng && (Math::abs(vl) > GJK_SIMPLEX4_EPS)) {
+ real_t mindist = -1;
+ real_t subw[3];
+ U subm;
+ for (U i = 0; i < 3; ++i) {
+ const U j = imd3[i];
+ const real_t s = vl * vec3_dot(d, vec3_cross(dl[i], dl[j]));
+ if (s > 0) {
+ const real_t 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);
+ 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
- {
- Vector3 n;
- real_t d;
- real_t 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 _ {
+// EPA
+struct EPA {
+ /* Types */
+ typedef GJK::sSV sSV;
+ struct sFace {
+ Vector3 n;
+ real_t d;
+ real_t 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,
@@ -504,271 +467,255 @@ struct GJK
OutOfVertices,
AccuraryReached,
FallBack,
- Failed };};
- /* Fields */
- eStatus::_ m_status;
- GJK::sSimplex m_result;
- Vector3 m_normal;
- real_t 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();
- }
-
+ Failed
+ };
+ };
+ /* Fields */
+ eStatus::_ m_status;
+ GJK::sSimplex m_result;
+ Vector3 m_normal;
+ real_t 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;
- }
+ 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 = Vector3(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 Vector3 &guess) {
+ GJK::sSimplex &simplex = *gjk.m_simplex;
+ if ((simplex.rank > 1) && gjk.EncloseOrigin()) {
- void Initialize()
- {
- m_status = eStatus::Failed;
- m_normal = Vector3(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]);
- }
+ /* Clean up */
+ while (m_hull.root) {
+ sFace *f = m_hull.root;
+ remove(m_hull, f);
+ append(m_stock, f);
}
- eStatus::_ Evaluate(GJK& gjk,const Vector3& 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)
- {
- SWAP(simplex.c[0],simplex.c[1]);
- SWAP(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 real_t wdist=vec3_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; }
+ 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) {
+ SWAP(simplex.c[0], simplex.c[1]);
+ SWAP(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 real_t wdist = vec3_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;
}
- const Vector3 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] = vec3_cross( outer.c[1]->w-projection,
- outer.c[2]->w-projection).length();
- m_result.p[1] = vec3_cross( outer.c[2]->w-projection,
- outer.c[0]->w-projection).length();
- m_result.p[2] = vec3_cross( outer.c[0]->w-projection,
- outer.c[1]->w-projection).length();
- const real_t 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);
+ } else {
+ m_status = eStatus::OutOfVertices;
+ break;
}
}
- /* Fallback */
- m_status = eStatus::FallBack;
- m_normal = -guess;
- const real_t nl=m_normal.length();
- if(nl>0)
- m_normal = m_normal/nl;
- else
- m_normal = Vector3(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 = vec3_cross(b->w-a->w,c->w-a->w);
- const real_t l=face->n.length();
- const bool v=l>EPA_ACCURACY;
- face->p = MIN(MIN(
- vec3_dot(a->w,vec3_cross(face->n,a->w-b->w)),
- vec3_dot(b->w,vec3_cross(face->n,b->w-c->w))),
- vec3_dot(c->w,vec3_cross(face->n,c->w-a->w))) /
- (v?l:1);
- face->p = face->p>=-EPA_INSIDE_EPS?0:face->p;
- if(v)
- {
- face->d = vec3_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);
+ const Vector3 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] = vec3_cross(outer.c[1]->w - projection,
+ outer.c[2]->w - projection)
+ .length();
+ m_result.p[1] = vec3_cross(outer.c[2]->w - projection,
+ outer.c[0]->w - projection)
+ .length();
+ m_result.p[2] = vec3_cross(outer.c[0]->w - projection,
+ outer.c[1]->w - projection)
+ .length();
+ const real_t 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);
}
- sFace* findbest()
- {
- sFace* minf=m_hull.root;
- real_t mind=minf->d*minf->d;
- real_t maxp=minf->p;
- for(sFace* f=minf->l[1];f;f=f->l[1])
- {
- const real_t sqd=f->d*f->d;
- if((f->p>=maxp)&&(sqd<mind))
- {
- minf=f;
- mind=sqd;
- maxp=f->p;
- }
- }
- return(minf);
+ }
+ /* Fallback */
+ m_status = eStatus::FallBack;
+ m_normal = -guess;
+ const real_t nl = m_normal.length();
+ if (nl > 0)
+ m_normal = m_normal / nl;
+ else
+ m_normal = Vector3(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 = vec3_cross(b->w - a->w, c->w - a->w);
+ const real_t l = face->n.length();
+ const bool v = l > EPA_ACCURACY;
+ face->p = MIN(MIN(
+ vec3_dot(a->w, vec3_cross(face->n, a->w - b->w)),
+ vec3_dot(b->w, vec3_cross(face->n, b->w - c->w))),
+ vec3_dot(c->w, vec3_cross(face->n, c->w - a->w))) /
+ (v ? l : 1);
+ face->p = face->p >= -EPA_INSIDE_EPS ? 0 : face->p;
+ if (v) {
+ face->d = vec3_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;
+ real_t mind = minf->d * minf->d;
+ real_t maxp = minf->p;
+ for (sFace *f = minf->l[1]; f; f = f->l[1]) {
+ const real_t sqd = f->d * f->d;
+ if ((f->p >= maxp) && (sqd < mind)) {
+ minf = f;
+ mind = sqd;
+ maxp = f->p;
}
- 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((vec3_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);
- }
- }
+ }
+ 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 ((vec3_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
- {
- 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);
- }
- }
+ 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 ShapeSW* shape0,const Transform& wtrs0,
- const ShapeSW* shape1,const Transform& wtrs1,
- sResults& results,
- tShape& shape,
- bool withmargins)
- {
- /* Results */
- results.witnesses[0] =
- results.witnesses[1] = Vector3(0,0,0);
- results.status = sResults::Separated;
- /* Shape */
- shape.m_shapes[0] = shape0;
- shape.m_shapes[1] = shape1;
- shape.transform_A = wtrs0;
- shape.transform_B = wtrs1;
-
+ }
+ return (false);
}
+};
-
+//
+static void Initialize(const ShapeSW *shape0, const Transform &wtrs0,
+ const ShapeSW *shape1, const Transform &wtrs1,
+ sResults &results,
+ tShape &shape,
+ bool withmargins) {
+ /* Results */
+ results.witnesses[0] =
+ results.witnesses[1] = Vector3(0, 0, 0);
+ results.status = sResults::Separated;
+ /* Shape */
+ shape.m_shapes[0] = shape0;
+ shape.m_shapes[1] = shape1;
+ shape.transform_A = wtrs0;
+ shape.transform_B = wtrs1;
+}
//
// Api
@@ -777,87 +724,75 @@ struct GJK
//
//
-bool Distance( const ShapeSW* shape0,
- const Transform& wtrs0,
- const ShapeSW* shape1,
- const Transform& wtrs1,
- const Vector3& 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)
- {
- Vector3 w0=Vector3(0,0,0);
- Vector3 w1=Vector3(0,0,0);
- for(U i=0;i<gjk.m_simplex->rank;++i)
- {
- const real_t 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;
+bool Distance(const ShapeSW *shape0,
+ const Transform &wtrs0,
+ const ShapeSW *shape1,
+ const Transform &wtrs1,
+ const Vector3 &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) {
+ Vector3 w0 = Vector3(0, 0, 0);
+ Vector3 w1 = Vector3(0, 0, 0);
+ for (U i = 0; i < gjk.m_simplex->rank; ++i) {
+ const real_t 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] = w0;
- results.witnesses[1] = 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);
+ results.witnesses[0] = w0;
+ results.witnesses[1] = 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 Penetration( const ShapeSW* shape0,
- const Transform& wtrs0,
- const ShapeSW* shape1,
- const Transform& wtrs1,
- const Vector3& guess,
- sResults& results
- )
-{
- tShape shape;
- Initialize(shape0,wtrs0,shape1,wtrs1,results,shape,false);
- 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)
- {
- Vector3 w0=Vector3(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];
+bool Penetration(const ShapeSW *shape0,
+ const Transform &wtrs0,
+ const ShapeSW *shape1,
+ const Transform &wtrs1,
+ const Vector3 &guess,
+ sResults &results) {
+ tShape shape;
+ Initialize(shape0, wtrs0, shape1, wtrs1, results, shape, false);
+ 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) {
+ Vector3 w0 = Vector3(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] = w0;
- results.witnesses[1] = 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;
- default: {}
+ results.status = sResults::Penetrating;
+ results.witnesses[0] = w0;
+ results.witnesses[1] = 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;
+ default: {}
}
- return(false);
+ return (false);
}
-
/* Symbols cleanup */
#undef GJK_MAX_ITERATIONS
@@ -876,43 +811,35 @@ bool Penetration( const ShapeSW* shape0,
#undef EPA_PLANE_EPS
#undef EPA_INSIDE_EPS
-
} // end of namespace
-
-
-
-
-bool gjk_epa_calculate_distance(const ShapeSW *p_shape_A, const Transform& p_transform_A, const ShapeSW *p_shape_B, const Transform& p_transform_B, Vector3& r_result_A, Vector3& r_result_B) {
-
+bool gjk_epa_calculate_distance(const ShapeSW *p_shape_A, const Transform &p_transform_A, const ShapeSW *p_shape_B, const Transform &p_transform_B, Vector3 &r_result_A, Vector3 &r_result_B) {
GjkEpa2::sResults res;
- if (GjkEpa2::Distance(p_shape_A,p_transform_A,p_shape_B,p_transform_B,p_transform_B.origin-p_transform_A.origin,res)) {
+ if (GjkEpa2::Distance(p_shape_A, p_transform_A, p_shape_B, p_transform_B, p_transform_B.origin - p_transform_A.origin, res)) {
- r_result_A=res.witnesses[0];
- r_result_B=res.witnesses[1];
+ r_result_A = res.witnesses[0];
+ r_result_B = res.witnesses[1];
return true;
}
return false;
-
}
-bool gjk_epa_calculate_penetration(const ShapeSW *p_shape_A, const Transform& p_transform_A, const ShapeSW *p_shape_B, const Transform& p_transform_B, CollisionSolverSW::CallbackResult p_result_callback,void *p_userdata, bool p_swap ) {
+bool gjk_epa_calculate_penetration(const ShapeSW *p_shape_A, const Transform &p_transform_A, const ShapeSW *p_shape_B, const Transform &p_transform_B, CollisionSolverSW::CallbackResult p_result_callback, void *p_userdata, bool p_swap) {
GjkEpa2::sResults res;
- if (GjkEpa2::Penetration(p_shape_A,p_transform_A,p_shape_B,p_transform_B,p_transform_B.origin-p_transform_A.origin,res)) {
+ if (GjkEpa2::Penetration(p_shape_A, p_transform_A, p_shape_B, p_transform_B, p_transform_B.origin - p_transform_A.origin, res)) {
if (p_result_callback) {
if (p_swap)
- p_result_callback(res.witnesses[1],res.witnesses[0],p_userdata);
+ p_result_callback(res.witnesses[1], res.witnesses[0], p_userdata);
else
- p_result_callback(res.witnesses[0],res.witnesses[1],p_userdata);
+ p_result_callback(res.witnesses[0], res.witnesses[1], p_userdata);
}
return true;
}
return false;
}
-