Support edge contacts with multiccd in nativeccd.
PiperOrigin-RevId: 730489114 Change-Id: I02847d84bbc15a1526391d5e1b7109ab83ea4a59
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Copybara-Service
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a6f1dc5e9e
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024616345d
@@ -1572,6 +1572,11 @@ static mjtNum planeIntersect(mjtNum res[3], const mjtNum pn[3], mjtNum pd,
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static void polygonClip(mjCCDStatus* status, const mjtNum* face1, int nface1,
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const mjtNum* face2, int nface2, const mjtNum n[3],
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const mjtNum dir[3]) {
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// clipping face needs to be at least a triangle
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if (nface1 < 3) {
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return;
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}
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// compute plane normal and distance to plane for each vertex
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mjtNum pn[3 * mjMAX_POLYVERT], pd[mjMAX_POLYVERT];
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for (int i = 0; i < nface1 - 1; i++) {
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@@ -1658,11 +1663,23 @@ static void polygonClip(mjCCDStatus* status, const mjtNum* face1, int nface1,
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}
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// no pruning needed
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status->nx = npolygon;
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int k = 0;
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for (int i = 0; i < 3*npolygon; i += 3) {
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copy3(status->x2 + i, polygon + i);
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sub3(status->x1 + i, status->x2 + i, dir);
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int skip = 0;
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// find possible duplicate vertices
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for (int j = 0; j < k; j += 3) {
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if (equal3(status->x2 + j, polygon + i)) {
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skip = 1;
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break;
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}
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}
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if (skip) continue;
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copy3(status->x2 + k, polygon + i);
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sub3(status->x1 + k, status->x2 + k, dir);
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k += 3;
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}
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status->nx = k/3;
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}
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@@ -1768,6 +1785,56 @@ static int meshNormals(mjtNum* res, int resind[3], int dim, mjCCDObj* obj,
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// compute normal directional vectors along possible edges given by up to two vertices
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static int meshEdgeNormals(mjtNum* res, mjtNum* endverts, int dim, mjCCDObj* obj,
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const mjtNum v1[3], const mjtNum v2[3], int v1i, int v2i) {
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// mesh data
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int g = obj->geom;
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const mjtNum* mat = obj->data->geom_xmat + 9*g;
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const mjtNum* pos = obj->data->geom_xpos + 3*g;
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// only one edge
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if (dim == 2) {
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copy3(endverts, v2);
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sub3(res, v2, v1);
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mju_normalize3(res);
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return 1;
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}
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if (dim == 1) {
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const mjModel* m = obj->model;
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int polyadr = m->mesh_polyadr[m->geom_dataid[g]];
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int vertadr = m->mesh_vertadr[m->geom_dataid[g]];
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int v1_adr = m->mesh_polymapadr[vertadr + v1i];
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int v1_num = m->mesh_polymapnum[vertadr + v1i];
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if (v1_num > mjMAX_POLYVERT) v1_num = mjMAX_POLYVERT;
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// loop through all faces with vertex v1
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for (int i = 0; i < v1_num; i++) {
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int idx = m->mesh_polymap[v1_adr + i];
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int adr = m->mesh_polyvertadr[polyadr + idx];
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int nvert = m->mesh_polyvertnum[polyadr + idx];
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// find previous vertex in polygon to form edge
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for (int j = 0; j < nvert; j++) {
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int v = m->mesh_polyvert[adr + j];
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if (v == v1i) {
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float* verts = m->mesh_vert + 3*vertadr;
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int k = (j == 0) ? nvert - 1 : j - 1;
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float* vert = verts + 3*k;
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globalcoord(endverts + 3*i, mat, pos, vert[0], vert[1], vert[2]);
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sub3(res + 3*i, endverts + 3*i, v1);
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mju_normalize3(res + 3*i);
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}
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}
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}
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return 3;
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}
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return 0;
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}
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// compute possible face normals of a box given up to 3 vertices
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static int boxNormals(mjtNum res[9], int resind[3], int dim, mjCCDObj* obj,
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int v1, int v2, int v3) {
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@@ -1825,6 +1892,45 @@ static int boxNormals(mjtNum res[9], int resind[3], int dim, mjCCDObj* obj,
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// compute possible edge normals for box for edge collisions
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static int boxEdgeNormals(mjtNum res[9], mjtNum endverts[9], int dim, mjCCDObj* obj,
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const mjtNum v1[3], const mjtNum v2[3], int v1i, int v2i) {
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// box data
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int g = 3*obj->geom;
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const mjtNum* mat = obj->data->geom_xmat + 3*g;
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const mjtNum* pos = obj->data->geom_xpos + g;
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const mjtNum* size = obj->model->geom_size + g;
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if (dim == 2) {
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copy3(endverts, v2);
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sub3(res, v2, v1);
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mju_normalize3(res);
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return 1;
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}
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// return 3 adjacent vertices
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if (dim == 1) {
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mjtNum x = (v1i & 1) ? size[0] : -size[0];
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mjtNum y = (v1i & 2) ? size[1] : -size[1];
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mjtNum z = (v1i & 4) ? size[2] : -size[2];
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globalcoord(endverts, mat, pos, -x, y, z);
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sub3(res, endverts, v1);
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mju_normalize3(res);
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globalcoord(endverts + 3, mat, pos, x, -y, z);
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sub3(res + 3, endverts + 3, v1);
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mju_normalize3(res + 3);
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globalcoord(endverts + 6, mat, pos, x, y, -z);
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sub3(res + 6, endverts + 6, v1);
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mju_normalize3(res + 6);
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return 3;
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}
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return 0;
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}
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// recover face of a box from its index
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static int boxFace(mjtNum res[12], mjCCDObj* obj, int idx) {
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// box data
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@@ -1903,11 +2009,11 @@ static int meshFace(mjtNum* res, mjCCDObj* obj, int idx) {
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// find two normals that are facing each other within a tolerance, return 1 if found
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static inline int alignedNormals(int res[2], const mjtNum* v, int nv,
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static inline int alignedFaces(int res[2], const mjtNum* v, int nv,
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const mjtNum* w, int nw) {
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for (int i = 0; i < nv; i++) {
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for (int j = 0; j < nw; j++) {
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if (dot3(v + 3*i, w + 3*j) < -mjCOSINE_TOL) {
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if (dot3(v + 3*i, w + 3*j) < -mjFACE_TOL) {
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res[0] = i;
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res[1] = j;
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return 1;
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@@ -1919,16 +2025,33 @@ static inline int alignedNormals(int res[2], const mjtNum* v, int nv,
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// return number of dimensions of a feature (1, 2 or 3)
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static inline int simplexDim(int* v1, int* v2, int* v3) {
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int val1 = *v1;
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int val2 = *v2;
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int val3 = *v3;
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// find two normals that are perpendicular to each other within a tolerance, return 1 if found
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static inline int alignedFaceEdge(int res[2], const mjtNum* edge, int nedge,
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const mjtNum* face, int nface) {
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for (int i = 0; i < nface; i++) {
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for (int j = 0; j < nedge; j++) {
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if (mju_abs(dot3(edge + 3*j, face + 3*i)) < mjEDGE_TOL) {
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res[0] = j;
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res[1] = i;
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return 1;
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}
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}
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}
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return 0;
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}
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// return number (1, 2 or 3) of dimensions of a simplex; reorder vertices if necessary
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static inline int simplexDim(int* v1i, int* v2i, int* v3i, mjtNum** v1, mjtNum** v2, mjtNum** v3) {
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int val1 = *v1i;
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int val2 = *v2i;
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int val3 = *v3i;
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if (val1 != val2) {
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return (val3 == val1 || val3 == val2) ? 2 : 3;
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}
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if (val1 != val3) {
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*v2i = *v3i;
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*v2 = *v3;
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return 2;
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}
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@@ -1940,65 +2063,122 @@ static inline int simplexDim(int* v1, int* v2, int* v3) {
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// recover multiple contacts from EPA polytope
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static void multicontact(Polytope* pt, Face* face, mjCCDStatus* status,
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mjCCDObj* obj1, mjCCDObj* obj2) {
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mjtNum face1[mjMAX_POLYVERT * 3], face2[mjMAX_POLYVERT * 3];
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mjtNum face1[mjMAX_POLYVERT * 3], face2[mjMAX_POLYVERT * 3], endverts[mjMAX_POLYVERT * 3];
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// get vertices of faces from EPA
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int v11 = pt->verts[face->verts[0]].index1;
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int v12 = pt->verts[face->verts[1]].index1;
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int v13 = pt->verts[face->verts[2]].index1;
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int v21 = pt->verts[face->verts[0]].index2;
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int v22 = pt->verts[face->verts[1]].index2;
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int v23 = pt->verts[face->verts[2]].index2;
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int v11i = pt->verts[face->verts[0]].index1;
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int v12i = pt->verts[face->verts[1]].index1;
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int v13i = pt->verts[face->verts[2]].index1;
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int v21i = pt->verts[face->verts[0]].index2;
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int v22i = pt->verts[face->verts[1]].index2;
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int v23i = pt->verts[face->verts[2]].index2;
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mjtNum* v11 = pt->verts[face->verts[0]].vert1;
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mjtNum* v12 = pt->verts[face->verts[1]].vert1;
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mjtNum* v13 = pt->verts[face->verts[2]].vert1;
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mjtNum* v21 = pt->verts[face->verts[0]].vert2;
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mjtNum* v22 = pt->verts[face->verts[1]].vert2;
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mjtNum* v23 = pt->verts[face->verts[2]].vert2;
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// get dimensions of features of geoms 1 and 2
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int nface1 = simplexDim(&v11, &v12, &v13);
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int nface2 = simplexDim(&v21, &v22, &v23);
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int nface1 = simplexDim(&v11i, &v12i, &v13i, &v11, &v12, &v13);
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int nface2 = simplexDim(&v21i, &v22i, &v23i, &v21, &v22, &v23);
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int nnorms1 = 0, nnorms2 = 0;
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mjtNum n1[3 * mjMAX_POLYVERT], n2[3 * mjMAX_POLYVERT]; // normals of possible face collisions
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int idx1[mjMAX_POLYVERT], idx2[mjMAX_POLYVERT]; // indices of faces
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// get all possible face normals for each geom
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if (obj1->geom_type == mjGEOM_BOX) {
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nnorms1 = boxNormals(n1, idx1, nface1, obj1, v11, v12, v13);
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nnorms1 = boxNormals(n1, idx1, nface1, obj1, v11i, v12i, v13i);
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} else if (obj1->geom_type == mjGEOM_MESH) {
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nnorms1 = meshNormals(n1, idx1, nface1, obj1, v11, v12, v13);
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nnorms1 = meshNormals(n1, idx1, nface1, obj1, v11i, v12i, v13i);
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}
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if (obj2->geom_type == mjGEOM_BOX) {
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nnorms2 = boxNormals(n2, idx2, nface2, obj2, v21, v22, v23);
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nnorms2 = boxNormals(n2, idx2, nface2, obj2, v21i, v22i, v23i);
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} else if (obj2->geom_type == mjGEOM_MESH) {
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nnorms2 = meshNormals(n2, idx2, nface2, obj2, v21, v22, v23);
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nnorms2 = meshNormals(n2, idx2, nface2, obj2, v21i, v22i, v23i);
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}
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// determine if any two normals match
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int res[2];
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if (!alignedNormals(res, n1, nnorms1, n2, nnorms2)) {
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return;
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// determine if any two face normals match
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int res[2], edgecon1 = 0, edgecon2 = 0;
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if (!alignedFaces(res, n1, nnorms1, n2, nnorms2)) {
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// check if edge-face collision
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if (nface1 < 3 && nface1 <= nface2) {
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nnorms1 = 0;
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if (obj1->geom_type == mjGEOM_BOX) {
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nnorms1 = boxEdgeNormals(n1, endverts, nface1, obj1, v11, v12, v11i, v12i);
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} else if (obj1->geom_type == mjGEOM_MESH) {
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nnorms1 = meshEdgeNormals(n1, endverts, nface1, obj1, v11, v12, v11i, v12i);
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}
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if (!alignedFaceEdge(res, n1, nnorms1, n2, nnorms2)) return;
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edgecon1 = 1;
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// check if face-edge collision
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} else if (nface2 < 3) {
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nnorms2 = 0;
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if (obj2->geom_type == mjGEOM_BOX) {
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nnorms2 = boxEdgeNormals(n2, endverts, nface2, obj2, v21, v22, v21i, v22i);
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} else if (obj2->geom_type == mjGEOM_MESH) {
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nnorms2 = meshEdgeNormals(n2, endverts, nface2, obj2, v21, v22, v21i, v22i);
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}
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if (!alignedFaceEdge(res, n2, nnorms2, n1, nnorms1)) return;
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edgecon2 = 1;
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} else {
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// no multi-contact
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return;
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}
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}
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int i = res[0], j = res[1];
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// recover matching faces
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if (obj1->geom_type == mjGEOM_BOX) {
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nface1 = boxFace(face1, obj1, idx1[i]);
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} else if (obj1->geom_type == mjGEOM_MESH) {
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nface1 = meshFace(face1, obj1, idx1[i]);
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}
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if (obj2->geom_type == mjGEOM_BOX) {
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nface2 = boxFace(face2, obj2, idx2[j]);
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} else if (obj2->geom_type == mjGEOM_MESH) {
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nface2 = meshFace(face2, obj2, idx2[j]);
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// recover geom1 matching edge or face
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if (edgecon1) {
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copy3(face1, pt->verts[face->verts[0]].vert1);
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copy3(face1 + 3, endverts + 3*i);
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nface1 = 2;
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} else {
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if (obj1->geom_type == mjGEOM_BOX) {
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int ind = (edgecon2 ? idx1[j] : idx1[i]);
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nface1 = boxFace(face1, obj1, ind);
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} else if (obj1->geom_type == mjGEOM_MESH) {
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int ind = (edgecon2 ? idx1[j] : idx1[i]);
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nface1 = meshFace(face1, obj1, ind);
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}
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}
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if (nface1 >= 3 && nface2 >= 3) {
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// TODO(kylebayes): this approximates the contact direction, by scaling the face normal by the
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// single contact direction's magnitude. This is effective, but polygonClip should compute
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// this for each contact point.
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mjtNum diff[3], approx_dir[3];
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sub3(diff, status->x2, status->x1);
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// recover geom2 matching edge or face
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if (edgecon2) {
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copy3(face2, pt->verts[face->verts[0]].vert2);
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copy3(face2 + 3, endverts + 3*i);
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nface2 = 2;
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} else {
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if (obj2->geom_type == mjGEOM_BOX) {
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nface2 = boxFace(face2, obj2, idx2[j]);
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} else if (obj2->geom_type == mjGEOM_MESH) {
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nface2 = meshFace(face2, obj2, idx2[j]);
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}
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}
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// TODO(kylebayes): this approximates the contact direction, by scaling the face normal by the
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// single contact direction's magnitude. This is effective, but polygonClip should compute
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// this for each contact point.
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mjtNum diff[3], approx_dir[3];
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sub3(diff, status->x2, status->x1);
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// face1 is an edge; clip face1 against face2
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if (edgecon1) {
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scl3(approx_dir, n2 + 3*j, norm3(diff));
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// clip the faces and store the results in status
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polygonClip(status, face1, nface1, face2, nface2, n1 + 3*i, approx_dir);
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polygonClip(status, face2, nface2, face1, nface1, n2 + 3*j, approx_dir);
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return;
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}
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// face2 is an edge; clip face2 against face1
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if (edgecon2) {
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scl3(approx_dir, n1 + 3*j, -norm3(diff));
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polygonClip(status, face1, nface1, face2, nface2, n1 + 3*j, approx_dir);
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return;
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}
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// face-face collision
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scl3(approx_dir, n2 + 3*j, norm3(diff));
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polygonClip(status, face1, nface1, face2, nface2, n1 + 3*i, approx_dir);
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}
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@@ -25,8 +25,11 @@
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extern "C" {
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#endif
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// tolerance for considering two normals to be aligned
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#define mjCOSINE_TOL 0.99999872
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// tolerance for normal alignment of two faces (cosine of 1.6e-3)
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#define mjFACE_TOL 0.99999872
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// tolerance for edge-face alignment (sine of 1.6e-3)
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#define mjEDGE_TOL 0.00159999931
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// max number of supported vertices in a polygon face of a mesh
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#define mjMAX_POLYVERT 150
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