Support multi-contact with meshes in nativeccd. Contacts are pruned to up to 4 per geom.

PiperOrigin-RevId: 730457036
Change-Id: Ib2368f3a7def4fdb94673620df3603e372c35745
This commit is contained in:
Kyle Bayes
2025-02-24 08:13:09 -08:00
committed by Copybara-Service
parent cf1784bb79
commit ae1c3b7ec0
10 changed files with 935 additions and 158 deletions
+4 -4
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@@ -898,16 +898,16 @@ int mjc_Convex(const mjModel* m, const mjData* d,
mjc_initCCDObj(&obj2, m, d, g2, margin);
int max_contacts = 1;
if (mjENABLED(mjENBL_MULTICCD)) {
// TODO(kylebayes): Support contact pruning.
max_contacts = 8;
max_contacts = 4;
}
// find initial contact
int ncon = mjc_CCDIteration(m, d, &obj1, &obj2, con, max_contacts, margin);
// nativeccd supports multi Box-Box collision directly
if (mjENABLED(mjENBL_NATIVECCD) && m->geom_type[g1] == mjGEOM_BOX
&& m->geom_type[g2] == mjGEOM_BOX) {
if (mjENABLED(mjENBL_NATIVECCD) &&
(m->geom_type[g1] == mjGEOM_BOX || m->geom_type[g1] == mjGEOM_MESH) &&
(m->geom_type[g2] == mjGEOM_BOX || m->geom_type[g2] == mjGEOM_MESH)) {
return ncon;
}
+238 -17
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@@ -113,6 +113,11 @@ static inline mjtNum dot3(const mjtNum v1[3], const mjtNum v2[3]) {
return v1[0]*v2[0] + v1[1]*v2[1] + v1[2]*v2[2];
}
// norm of v
static inline mjtNum norm3(const mjtNum v[3]) {
return mju_sqrt(dot3(v, v));
}
// res = v
static inline void copy3(mjtNum res[3], const mjtNum v[3]) {
res[0] = v[0], res[1] = v[1], res[2] = v[2];
@@ -1190,7 +1195,7 @@ static inline mjtNum attachFace(Polytope* pt, int v1, int v2, int v3,
// compute witness point v
int ret = projectOriginPlane(face->v, pt->verts[v3].vert, pt->verts[v2].vert, pt->verts[v1].vert);
if (ret) return 0;
face->dist = mju_sqrt(dot3(face->v, face->v));
face->dist = norm3(face->v);
face->index = -1;
return face->dist;
@@ -1449,6 +1454,80 @@ static Face* epa(mjCCDStatus* status, Polytope* pt, mjCCDObj* obj1, mjCCDObj* ob
// ------------------------------------- MultiCCD -------------------------------------------------
// compute area of a quadrilateral
static inline mjtNum area4(const mjtNum a[3], const mjtNum b[3],
const mjtNum c[3], const mjtNum d[3]) {
mjtNum ad[3] = {d[0] - a[0], d[1] - a[1], d[2] - a[2]};
mjtNum db[3] = {b[0] - d[0], b[1] - d[1], b[2] - d[2]};
mjtNum bc[3] = {c[0] - b[0], c[1] - b[1], c[2] - b[2]};
mjtNum ca[3] = {a[0] - c[0], a[1] - c[1], a[2] - c[2]};
mjtNum e[3], f[3], g[3];
cross3(e, ad, db);
cross3(f, bc, ca);
add3(g, e, f);
return 0.5 * norm3(g);
}
// return pointer to next vertex in a polygon
static inline mjtNum* next(mjtNum* polygon, int nvert, mjtNum* curr) {
if (curr == polygon + 3*(nvert - 1)) {
return polygon;
}
return curr + 3;
}
// prune a polygon to a maximum area convex quadrilateral
static inline void polygonQuad(mjtNum* res[4], mjtNum* polygon, int nvert) {
mjtNum* a = polygon, *b = polygon + 3, *c = polygon + 6, *d = polygon + 9;
res[0] = a, res[1] = b, res[2] = c, res[3] = d;
mjtNum m = area4(a, b, c, d), m_next;
mjtNum* end = polygon + 3 * nvert;
for (; a < end; a += 3) {
while (1) {
m_next = area4(a, b, c, next(polygon, nvert, d));
if (m_next <= m) {
break;
}
m = m_next;
d = next(polygon, nvert, d);
res[0] = a, res[1] = b, res[2] = c, res[3] = d;
while (1) {
m_next = area4(a, b, next(polygon, nvert, c), d);
if (m_next <= m) {
break;
}
m = m_next;
c = next(polygon, nvert, c);
res[0] = a, res[1] = b, res[2] = c, res[3] = d;
}
while (1) {
m_next = area4(a, next(polygon, nvert, b), c, d);
if (m_next <= m) {
break;
}
m = m_next;
b = next(polygon, nvert, b);
res[0] = a, res[1] = b, res[2] = c, res[3] = d;
}
}
if (b == a) {
b = next(polygon, nvert, b);
if (c == b) {
c = next(polygon, nvert, c);
if (d == c) {
d = next(polygon, nvert, d);
}
}
}
}
}
// find the normal of a plane perpendicular to the face (given by its normal n) and intersecting the
// face edge (v1, v2)
static mjtNum planeNormal(mjtNum res[3], const mjtNum v1[3], const mjtNum v2[3],
@@ -1490,18 +1569,18 @@ static mjtNum planeIntersect(mjtNum res[3], const mjtNum pn[3], mjtNum pd,
// clip a polygon against another polygon
static void polygonClip(mjCCDStatus* status, const mjtNum face1[3 * mjMAX_SIDES], int nface1,
const mjtNum face2[3 * mjMAX_SIDES], int nface2, const mjtNum n[3],
static void polygonClip(mjCCDStatus* status, const mjtNum* face1, int nface1,
const mjtNum* face2, int nface2, const mjtNum n[3],
const mjtNum dir[3]) {
// compute plane normal and distance to plane for each vertex
mjtNum pn[3 * mjMAX_SIDES], pd[mjMAX_SIDES];
mjtNum pn[3 * mjMAX_POLYVERT], pd[mjMAX_POLYVERT];
for (int i = 0; i < nface1 - 1; i++) {
pd[i] = planeNormal(&pn[3*i], &face1[3*i], &face1[3*i + 3], n);
}
pd[nface1 - 1] = planeNormal(&pn[3*(nface1 - 1)], &face1[3*(nface1 - 1)], &face1[0], n);
// reserve 2 * max_sides as max sides for a clipped polygon
mjtNum polygon1[6 * mjMAX_SIDES], polygon2[6 * mjMAX_SIDES], *polygon, *clipped;
mjtNum polygon1[6 * mjMAX_POLYVERT], polygon2[6 * mjMAX_POLYVERT], *polygon, *clipped;
int npolygon = nface2, nclipped = 0;
polygon = polygon1;
clipped = polygon2;
@@ -1552,13 +1631,37 @@ static void polygonClip(mjCCDStatus* status, const mjtNum face1[3 * mjMAX_SIDES]
nclipped = 0;
}
if (npolygon < 1) {
return;
}
// copy final clipped polygon to status
if (npolygon > 0) {
status->nx = npolygon;
for (int i = 0; i < 3*npolygon; i += 3) {
if (status->max_contacts < 5 && npolygon > 4) {
status->nx = 4;
mjtNum* rect[4];
polygonQuad(rect, polygon, npolygon);
for (int i = 0; i < 4; i++) {
copy3(status->x2 + 3*i, rect[i]);
sub3(status->x1 + 3*i, status->x2 + 3*i, dir);
}
return;
}
// TODO(kylebayes): Consider using a heristic to prune the polygon.
if (npolygon > mjMAXCONPAIR) {
status->nx = mjMAXCONPAIR;
for (int i = 0; i < 3*mjMAXCONPAIR; i += 3) {
copy3(status->x2 + i, polygon + i);
sub3(status->x1 + i, status->x2 + i, dir);
}
return;
}
// no pruning needed
status->nx = npolygon;
for (int i = 0; i < 3*npolygon; i += 3) {
copy3(status->x2 + i, polygon + i);
sub3(status->x1 + i, status->x2 + i, dir);
}
}
@@ -1580,6 +1683,91 @@ static inline void globalcoord(mjtNum res[3], const mjtNum mat[9], const mjtNum
// find up to n <= 2 common integers of two arrays, return n
static int intersect(int res[2], const int* arr1, const int* arr2, int n, int m) {
int count = 0;
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
if (arr1[i] == arr2[j]) {
res[count++] = arr1[i];
if (count == 2) return 2;
}
}
}
return count;
}
// compute possible polygon normals of a mesh given up to 3 vertices
static int meshNormals(mjtNum* res, int resind[3], int dim, mjCCDObj* obj,
int v1, int v2, int v3) {
const mjModel* m = obj->model;
const mjData* d = obj->data;
int g = obj->geom;
int polyadr = m->mesh_polyadr[m->geom_dataid[g]];
int vertadr = m->mesh_vertadr[m->geom_dataid[g]];
const mjtNum* mat = d->geom_xmat + 9*g;
if (dim == 3) {
int v1_adr = m->mesh_polymapadr[vertadr + v1];
int v1_num = m->mesh_polymapnum[vertadr + v1];
int v2_adr = m->mesh_polymapadr[vertadr + v2];
int v2_num = m->mesh_polymapnum[vertadr + v2];
int v3_adr = m->mesh_polymapadr[vertadr + v3];
int v3_num = m->mesh_polymapnum[vertadr + v3];
int edgeset[2], faceset[1];
int n = intersect(edgeset, m->mesh_polymap + v1_adr, m->mesh_polymap + v2_adr, v1_num, v2_num);
if (n == 0) return 0;
n = intersect(faceset, edgeset, m->mesh_polymap + v3_adr, n, v3_num);
if (n == 0) return 0;
// three vertices defined an unique face
mjtNum* normal = m->mesh_polynormal + 3*(polyadr + faceset[0]);
globalcoord(res, mat, NULL, normal[0], normal[1], normal[2]);
resind[0] = faceset[0];
return 1;
}
if (dim == 2) {
int v1_adr = m->mesh_polymapadr[vertadr + v1];
int v1_num = m->mesh_polymapnum[vertadr + v1];
int v2_adr = m->mesh_polymapadr[vertadr + v2];
int v2_num = m->mesh_polymapnum[vertadr + v2];
// up to two faces if vertices defined an edge
int edgeset[2];
int n = intersect(edgeset, m->mesh_polymap + v1_adr, m->mesh_polymap + v2_adr, v1_num, v2_num);
if (n == 0) return 0;
for (int i = 0; i < n; i++) {
mjtNum* normal = m->mesh_polynormal + 3*(polyadr + edgeset[i]);
globalcoord(res + 3*i, mat, NULL, normal[0], normal[1], normal[2]);
resind[i] = edgeset[i];
}
return n;
}
if (dim == 1) {
int v1_adr = m->mesh_polymapadr[vertadr + v1];
int v1_num = m->mesh_polymapnum[vertadr + v1];
if (v1_num > mjMAX_POLYVERT) v1_num = mjMAX_POLYVERT;
for (int i = 0; i < v1_num; i++) {
int index = m->mesh_polymap[v1_adr + i];
mjtNum* normal = m->mesh_polynormal + 3*(polyadr + index);
globalcoord(res + 3*i, mat, NULL, normal[0], normal[1], normal[2]);
resind[i] = index;
}
return v1_num;
}
return 0;
}
// compute possible face normals of a box given up to 3 vertices
static int boxNormals(mjtNum res[9], int resind[3], int dim, mjCCDObj* obj,
int v1, int v2, int v3) {
@@ -1689,11 +1877,37 @@ static int boxFace(mjtNum res[12], mjCCDObj* obj, int idx) {
static inline int compareNorms(int res[2], const mjtNum* v, int nv,
const mjtNum* w, int nw) {
// recover mesh polygon from its index, return number of edges
static int meshFace(mjtNum* res, mjCCDObj* obj, int idx) {
const mjModel* m = obj->model;
// mesh data
int g = 3*obj->geom;
const mjtNum* mat = obj->data->geom_xmat + 3*g;
const mjtNum* pos = obj->data->geom_xpos + g;
int polyadr = m->mesh_polyadr[m->geom_dataid[obj->geom]];
int vertadr = m->mesh_vertadr[m->geom_dataid[obj->geom]];
int adr = m->mesh_polyvertadr[polyadr + idx], j = 0;
int nvert = m->mesh_polyvertnum[polyadr + idx];
if (nvert > mjMAX_POLYVERT) nvert = mjMAX_POLYVERT;
for (int i = nvert - 1; i >= 0; i--) {
float* verts = m->mesh_vert + 3*vertadr;
int v = m->mesh_polyvert[adr + i];
float* vert = verts + 3*v;
globalcoord(res + 3*j++, mat, pos, vert[0], vert[1], vert[2]);
}
return nvert;
}
// find two normals that are facing each other within a tolerance, return 1 if found
static inline int alignedNormals(int res[2], const mjtNum* v, int nv,
const mjtNum* w, int nw) {
for (int i = 0; i < nv; i++) {
for (int j = 0; j < nw; j++) {
if (dot3(v + 3*i, w + 3*j) < -0.99999872) {
if (dot3(v + 3*i, w + 3*j) < -mjCOSINE_TOL) {
res[0] = i;
res[1] = j;
return 1;
@@ -1723,11 +1937,10 @@ static inline int simplexDim(int* v1, int* v2, int* v3) {
// recover multiple contacts from EPA polytope
static void multicontact(Polytope* pt, Face* face, mjCCDStatus* status,
mjCCDObj* obj1, mjCCDObj* obj2) {
mjtNum face1[mjMAX_SIDES * 3], face2[mjMAX_SIDES * 3];
mjtNum face1[mjMAX_POLYVERT * 3], face2[mjMAX_POLYVERT * 3];
// get vertices of faces from EPA
int v11 = pt->verts[face->verts[0]].index1;
@@ -1741,20 +1954,24 @@ static void multicontact(Polytope* pt, Face* face, mjCCDStatus* status,
int nface1 = simplexDim(&v11, &v12, &v13);
int nface2 = simplexDim(&v21, &v22, &v23);
int nnorms1 = 0, nnorms2 = 0;
mjtNum n1[9], n2[9]; // normals of possible face collisions
int idx1[3], idx2[3]; // indices of faces, so they can be recovered later
mjtNum n1[3 * mjMAX_POLYVERT], n2[3 * mjMAX_POLYVERT]; // normals of possible face collisions
int idx1[mjMAX_POLYVERT], idx2[mjMAX_POLYVERT]; // indices of faces
// get all possible face normals for each geom
if (obj1->geom_type == mjGEOM_BOX) {
nnorms1 = boxNormals(n1, idx1, nface1, obj1, v11, v12, v13);
} else if (obj1->geom_type == mjGEOM_MESH) {
nnorms1 = meshNormals(n1, idx1, nface1, obj1, v11, v12, v13);
}
if (obj2->geom_type == mjGEOM_BOX) {
nnorms2 = boxNormals(n2, idx2, nface2, obj2, v21, v22, v23);
} else if (obj2->geom_type == mjGEOM_MESH) {
nnorms2 = meshNormals(n2, idx2, nface2, obj2, v21, v22, v23);
}
// determine if any two normals match
int res[2];
if (!compareNorms(res, n1, nnorms1, n2, nnorms2)) {
if (!alignedNormals(res, n1, nnorms1, n2, nnorms2)) {
return;
}
int i = res[0], j = res[1];
@@ -1762,9 +1979,13 @@ static void multicontact(Polytope* pt, Face* face, mjCCDStatus* status,
// recover matching faces
if (obj1->geom_type == mjGEOM_BOX) {
nface1 = boxFace(face1, obj1, idx1[i]);
} else if (obj1->geom_type == mjGEOM_MESH) {
nface1 = meshFace(face1, obj1, idx1[i]);
}
if (obj2->geom_type == mjGEOM_BOX) {
nface2 = boxFace(face2, obj2, idx2[j]);
} else if (obj2->geom_type == mjGEOM_MESH) {
nface2 = meshFace(face2, obj2, idx2[j]);
}
if (nface1 >= 3 && nface2 >= 3) {
@@ -1773,7 +1994,7 @@ static void multicontact(Polytope* pt, Face* face, mjCCDStatus* status,
// this for each contact point.
mjtNum diff[3], approx_dir[3];
sub3(diff, status->x2, status->x1);
scl3(approx_dir, n2 + 3*j, mju_sqrt(dot3(diff, diff)));
scl3(approx_dir, n2 + 3*j, norm3(diff));
// clip the faces and store the results in status
polygonClip(status, face1, nface1, face2, nface2, n1 + 3*i, approx_dir);
+5 -2
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@@ -25,8 +25,11 @@
extern "C" {
#endif
// max sides of a face of mesh supported for multiple contacts
#define mjMAX_SIDES 10
// tolerance for considering two normals to be aligned
#define mjCOSINE_TOL 0.99999872
// max number of supported vertices in a polygon face of a mesh
#define mjMAX_POLYVERT 150
// Status of an EPA run
typedef enum {
-3
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@@ -2215,11 +2215,8 @@ const char* mj_validateReferences(const mjModel* m) {
X(mesh_bvhadr, nmesh, nbvh , m->mesh_bvhnum ) \
X(mesh_graphadr, nmesh, nmeshgraph , 0 ) \
X(mesh_polyadr, nmesh, nmeshpoly , m->mesh_polynum ) \
X(mesh_polynormal, nmeshpoly*3, nmeshpoly*3 , 0 ) \
X(mesh_polyvertadr, nmeshpoly, nmeshpolyvert , m->mesh_polyvertnum ) \
X(mesh_polyvert, nmeshpolyvert, nmeshpolyvert , 0 ) \
X(mesh_polymapadr, nmeshvert, nmeshpolymap , m->mesh_polymapnum ) \
X(mesh_polymap, nmeshpolymap, nmeshpolymap , 0 ) \
X(flex_vertadr, nflex, nflexvert , m->flex_vertnum ) \
X(flex_edgeadr, nflex, nflexedge , m->flex_edgenum ) \
X(flex_elemadr, nflex, nflexelem , m->flex_elemnum ) \