void MESH_Renumber(Mesh_ptr mesh, int renum_type, MType mtype) {
MVertex_ptr mv, v0=NULL;
MEdge_ptr me, e0=NULL;
MFace_ptr mf, f0=NULL;
MRegion_ptr mr, r0=NULL;
int idx, idx2, idx3;
int i, j;
int done;
MAttrib_ptr vidatt;
List_ptr vlist;
double xyz[3];
double rval;
int bandwidth, maxbandwidth1, maxbandwidth2;
double avebandwidth1, avebandwidth2;
void *pval;
if (renum_type == 0) {
if (mtype == MVERTEX || mtype == MALLTYPE) {
int nv = 0;
idx = 0;
while ((mv = MESH_Next_Vertex(mesh,&idx)))
MV_Set_ID(mv,++nv);
}
if (mtype == MEDGE || mtype == MALLTYPE) {
int ne = 0;
idx = 0;
while ((me = MESH_Next_Edge(mesh,&idx)))
ME_Set_ID(me,++ne);
}
if (mtype == MFACE || mtype == MALLTYPE) {
int nf = 0;
idx = 0;
while ((mf = MESH_Next_Face(mesh,&idx)))
MF_Set_ID(mf,++nf);
}
if (mtype == MREGION || mtype == MALLTYPE) {
int nr = 0;
idx = 0;
while ((mr = MESH_Next_Region(mesh,&idx)))
MR_Set_ID(mr,++nr);
}
}
else if (renum_type == 1) {
double minx, miny, minz;
int minid, maxid;
int *nadj, *newmap, *adj, *offset, nconn;
int nalloc, depth, maxwidth;
#ifdef MSTK_USE_MARKERS
int mkid = MSTK_GetMarker();
#else
MAttrib_ptr mkatt = MAttrib_New(mesh, "mkatt", INT, MALLTYPE);
#endif
if (mtype == MVERTEX || mtype == MALLTYPE) {
int nv = MESH_Num_Vertices(mesh);
/* Compute a graph of vertex connections across elements (faces
for surface meshes, regions for solid meshes */
/* Start with the vertex in the lower leftmost corner */
minx = miny = minz = 1.0e+12;
v0 = NULL;
idx = 0;
while ((mv = MESH_Next_Vertex(mesh,&idx))) {
MV_Coords(mv,xyz);
if (xyz[0] <= minx && xyz[1] <= miny && xyz[2] <= minz) {
minx = xyz[0];
miny = xyz[1];
minz = xyz[2];
v0 = mv;
}
}
nadj = (int *) malloc(nv*sizeof(int));
nalloc = nv*5;
adj = (int *) malloc(nalloc*sizeof(int));
if (!MESH_Num_Regions(mesh)) {
int nentries = 0;
i = 0;
idx = 0;
while ((mv = MESH_Next_Vertex(mesh,&idx))) {
List_ptr vfaces, adjvlist;
MFace_ptr vf;
MVertex_ptr adjv;
adjvlist = List_New(0);
vfaces = MV_Faces(mv);
idx2 = 0;
while ((vf = List_Next_Entry(vfaces,&idx2))) {
List_ptr fverts = MF_Vertices(vf,1,0);
idx3 = 0;
while ((adjv = List_Next_Entry(fverts,&idx3))) {
if (adjv != mv) {
int vmarked;
#ifdef MSTK_USE_MARKERS
vmarked = MEnt_IsMarked(adjv,mkid);
#else
MEnt_Get_AttVal(adjv, mkatt, &vmarked, &rval, &pval);
#endif
if (!vmarked) {
List_Add(adjvlist,adjv);
#ifdef MSTK_USE_MARKERS
MEnt_Mark(adjv,mkid);
#else
MEnt_Set_AttVal(adjv, mkatt, 1, 0.0, NULL);
#endif
}
}
}
List_Delete(fverts);
}
List_Delete(vfaces);
#ifdef MSTK_USE_MARKERS
List_Unmark(adjvlist,mkid);
#endif
nadj[i] = List_Num_Entries(adjvlist);
if (nentries+nadj[i] > nalloc) {
nalloc *= 2;
adj = (int *) realloc(adj,nalloc*sizeof(int));
}
idx2 = 0;
while ((adjv = List_Next_Entry(adjvlist,&idx2)))
adj[nentries++] = MV_ID(adjv)-1;
List_Delete(adjvlist);
i++;
}
}
else {
int nentries = 0;
i = 0;
idx = 0;
while ((mv = MESH_Next_Vertex(mesh,&idx))) {
List_ptr vregions, adjvlist;
MRegion_ptr vr;
MVertex_ptr adjv;
adjvlist = List_New(0);
vregions = MV_Regions(mv);
idx2 = 0;
while ((vr = List_Next_Entry(vregions,&idx2))) {
List_ptr rverts = MR_Vertices(vr);
idx3 = 0;
while ((adjv = List_Next_Entry(rverts,&idx3))) {
if (adjv != mv) {
int vmarked;
#ifdef MSTK_USE_MARKERS
vmarked = MEnt_IsMarked(adjv,mkid);
#else
MEnt_Get_AttVal(adjv, mkatt, &vmarked, &rval, &pval);
#endif
if (!vmarked) {
List_Add(adjvlist,adjv);
#ifdef MSTK_USE_MARKERS
MEnt_Mark(adjv,mkid);
#else
MEnt_Set_AttVal(adjv, mkatt, 1, 0.0, NULL);
#endif
}
}
}
List_Delete(rverts);
}
List_Delete(vregions);
#ifdef MSTK_USE_MARKERS
List_Unmark(adjvlist,mkid);
#endif
nadj[i] = List_Num_Entries(adjvlist);
if (nentries+nadj[i] > nalloc) {
nalloc *= 2;
adj = (int *) realloc(adj,nalloc*sizeof(int));
}
idx2 = 0;
while ((adjv = List_Next_Entry(adjvlist,&idx2)))
adj[nentries++] = MV_ID(adjv)-1;
List_Delete(adjvlist);
i++;
}
}
/* Compute offsets into adj array */
offset = (int *) malloc(nv*sizeof(int));
offset[0] = 0;
for (i = 1; i < nv; i++)
offset[i] = offset[i-1] + nadj[i-1];
/* Compute maximum bandwidth before renumbering */
maxbandwidth1 = 0;
avebandwidth1 = 0;
for (i = 0; i < nv; i++) {
int off = offset[i];
int curid = i;
for (j = 0; j < nadj[i]; j++) {
int adjid = adj[off+j];
int diff = abs(adjid-curid);
maxbandwidth1 = (diff > maxbandwidth1) ? diff : maxbandwidth1;
avebandwidth1 += diff;
nconn++;
}
}
nconn = offset[nv-1]+nadj[nv-1];
avebandwidth1 /= nconn;
fprintf(stderr,
"Ave vertex ID difference on elements before renumbering: %-lf\n",
avebandwidth1);
fprintf(stderr,
"Max vertex ID difference on elements before renumbering: %-d\n",
maxbandwidth1);
fprintf(stderr,"\n");
newmap = (int *) malloc(nv*sizeof(int));
Graph_Renumber_GPS(nv, MV_ID(v0)-1, nadj, adj, newmap, &depth, &maxwidth);
/* Compute bandwidth after renumbering */
maxbandwidth2 = 0;
avebandwidth2 = 0;
for (i = 0; i < nv; i++) {
int off = offset[i];
int curid = newmap[i];
for (j = 0; j < nadj[i]; j++) {
int adjid = newmap[adj[off+j]];
int diff = abs(adjid-curid);
maxbandwidth2 = (diff > maxbandwidth2) ? diff : maxbandwidth2;
avebandwidth2 += diff;
nconn++;
}
}
nconn = offset[nv-1]+nadj[nv-1];
avebandwidth2 /= nconn;
if (maxbandwidth2 < maxbandwidth1 && avebandwidth2 < avebandwidth1) {
/* Renumber */
idx = 0; i = 0;
while ((mv = MESH_Next_Vertex(mesh,&idx))) {
MV_Set_ID(mv,newmap[i]+1);
i++;
}
fprintf(stderr,
"Ave vertex ID difference on elements after renumbering: %-lf\n",
avebandwidth2);
fprintf(stderr,
"Max vertex ID difference on elements after renumbering: %-d\n",
maxbandwidth2);
}
else {
nv = 0;
idx = 0;
while ((mv = MESH_Next_Vertex(mesh,&idx)))
MV_Set_ID(mv,++nv);
fprintf(stderr,"Bandwidth did not improve. Keeping old numbering with gaps eliminated\n");
}
fprintf(stderr,"\n\n\n");
free(nadj);
free(adj);
free(offset);
free(newmap);
}
/* Reorder edges according to a breadth first algorithm applied to
edges (differs from RCM in that it does not add adjacent nodes
in ascending order of their valence) */
if (mtype == MEDGE || mtype == MALLTYPE) {
int ne = MESH_Num_Edges(mesh);
MEdge_ptr ve;
List_ptr elist;
/************************* renumbering code ****************************/
ne = MESH_Num_Edges(mesh);
if (mtype == MALLTYPE) {
/* RCM algorithm already applied on the vertices. Use an edge
connected to the starting vertex as the first edge */
List_ptr vedges = MV_Edges(v0);
e0 = List_Entry(vedges,0);
List_Delete(vedges);
}
else {
/* Find the edge whose mid point is a minimum point */
minx = miny = minz = 1.0e+12;
e0 = NULL;
idx = 0;
while ((me = MESH_Next_Edge(mesh,&idx))) {
double exyz[2][3];
MV_Coords(ME_Vertex(me,0),exyz[0]);
MV_Coords(ME_Vertex(me,1),exyz[1]);
xyz[0] = (exyz[0][0]+exyz[1][0])/2.0;
xyz[1] = (exyz[0][1]+exyz[1][1])/2.0;
xyz[2] = (exyz[0][2]+exyz[1][2])/2.0;
if (xyz[0] < minx && xyz[1] < miny && xyz[2] < minz) {
minx = xyz[0];
miny = xyz[1];
minz = xyz[2];
e0 = me;
}
}
}
nadj = (int *) malloc(ne*sizeof(int));
nalloc = ne*5;
adj = (int *) malloc(nalloc*sizeof(int));
if (!MESH_Num_Regions(mesh)) {
int nentries = 0;
i = 0;
idx = 0;
while ((me = MESH_Next_Edge(mesh,&idx))) {
List_ptr efaces, adjelist;
MFace_ptr ef;
MEdge_ptr adje;
adjelist = List_New(0);
efaces = ME_Faces(me);
idx2 = 0;
while ((ef = List_Next_Entry(efaces,&idx2))) {
List_ptr fedges = MF_Edges(ef,1,0);
idx3 = 0;
while ((adje = List_Next_Entry(fedges,&idx3))) {
if (adje != me) {
int emarked;
#ifdef MSTK_USE_MARKERS
emarked = MEnt_IsMarked(adje,mkid);
#else
MEnt_Get_AttVal(adje, mkatt, &emarked, &rval, &pval);
#endif
if (!emarked) {
List_Add(adjelist,adje);
#ifdef MSTK_USE_MARKERS
MEnt_Mark(adje,mkid);
#else
MEnt_Set_AttVal(adje, mkatt, 1, 0.0, NULL);
#endif
}
}
}
List_Delete(fedges);
}
List_Delete(efaces);
#ifdef MSTK_USE_MARKERS
List_Unmark(adjelist,mkid);
#endif
nadj[i] = List_Num_Entries(adjelist);
if (nentries+nadj[i] > nalloc) {
nalloc *= 2;
adj = (int *) realloc(adj,nalloc*sizeof(int));
}
idx2 = 0;
while ((adje = List_Next_Entry(adjelist,&idx2)))
adj[nentries++] = ME_ID(adje)-1;
List_Delete(adjelist);
i++;
}
}
else {
int nentries = 0;
i = 0;
idx = 0;
while ((me = MESH_Next_Edge(mesh,&idx))) {
List_ptr eregions, adjelist;
MRegion_ptr er;
MEdge_ptr adje;
adjelist = List_New(0);
eregions = ME_Regions(me);
idx2 = 0;
while ((er = List_Next_Entry(eregions,&idx2))) {
List_ptr redges = MR_Edges(er);
idx3 = 0;
while ((adje = List_Next_Entry(redges,&idx3))) {
if (adje != me) {
int emarked;
#ifdef MSTK_USE_MARKERS
emarked = MEnt_IsMarked(adje,mkid);
#else
MEnt_Get_AttVal(adje, mkatt, &emarked, &rval, &pval);
#endif
if (!emarked) {
List_Add(adjelist,adje);
#ifdef MSTK_USE_MARKERS
MEnt_Mark(adje,mkid);
#else
MEnt_Set_AttVal(adje, mkatt, 1, 0.0, NULL);
#endif
}
}
}
List_Delete(redges);
}
List_Delete(eregions);
#ifdef MSTK_USE_MARKERS
List_Unmark(adjelist,mkid);
#endif
nadj[i] = List_Num_Entries(adjelist);
if (nentries+nadj[i] > nalloc) {
nalloc *= 2;
adj = (int *) realloc(adj,nalloc*sizeof(int));
}
idx2 = 0;
while ((adje = List_Next_Entry(adjelist,&idx2)))
adj[nentries++] = ME_ID(adje)-1;
List_Delete(adjelist);
i++;
}
}
/* Compute offsets into adj array */
offset = (int *) malloc(ne*sizeof(int));
offset[0] = 0;
for (i = 1; i < ne; i++)
offset[i] = offset[i-1] + nadj[i-1];
/* Compute maximum bandwidth before renumbering */
maxbandwidth1 = 0;
avebandwidth1 = 0;
for (i = 0; i < ne; i++) {
int off = offset[i];
int curid = i;
for (j = 0; j < nadj[i]; j++) {
int adjid = adj[off+j];
int diff = abs(adjid-curid);
maxbandwidth1 = (diff > maxbandwidth1) ? diff : maxbandwidth1;
avebandwidth1 += diff;
nconn++;
}
}
nconn = offset[ne-1]+nadj[ne-1];
avebandwidth1 /= nconn;
fprintf(stderr,
"Ave edge ID difference on elements before renumbering: %-lf\n",
avebandwidth1);
fprintf(stderr,
"Max edge ID difference on elements before renumbering: %-d\n",
maxbandwidth1);
fprintf(stderr,"\n");
/* Call Graph Renumbering algorithm */
newmap = (int *) malloc(ne*sizeof(int));
Graph_Renumber_GPS(ne, ME_ID(e0)-1, nadj, adj, newmap, &depth, &maxwidth);
/* Compute bandwidth after renumbering */
maxbandwidth2 = 0;
avebandwidth2 = 0;
for (i = 0; i < ne; i++) {
int off = offset[i];
int curid = newmap[i];
for (j = 0; j < nadj[i]; j++) {
int adjid = newmap[adj[off+j]];
int diff = abs(adjid-curid);
maxbandwidth2 = (diff > maxbandwidth2) ? diff : maxbandwidth2;
avebandwidth2 += diff;
nconn++;
}
}
nconn = offset[ne-1]+nadj[ne-1];
avebandwidth2 /= nconn;
if (maxbandwidth2 < maxbandwidth1 && avebandwidth2 < avebandwidth1) {
/* Renumber */
idx = 0; i = 0;
while ((me = MESH_Next_Edge(mesh,&idx))) {
ME_Set_ID(me,newmap[i]+1);
i++;
}
fprintf(stderr,
"Ave edge ID difference on elements after renumbering: %-lf\n",
avebandwidth2);
fprintf(stderr,
"Max edge ID difference on elements after renumbering: %-d\n",
maxbandwidth2);
}
else {
ne = 0;
idx = 0;
while ((me = MESH_Next_Edge(mesh,&idx)))
ME_Set_ID(me,++ne);
fprintf(stderr,"Bandwidth did not improve. Keeping old numbering with gaps eliminated\n");
}
fprintf(stderr,"\n\n\n");
free(nadj);
free(adj);
free(offset);
free(newmap);
}
/* Reorder faces according to a breadth first algorithm applied to
edges (differs from RCM in that it does not add adjacent graph nodes
in ascending order of their valence) */
if (mtype == MFACE || mtype == MALLTYPE) {
int nf = MESH_Num_Faces(mesh);
if (mtype == MALLTYPE) {
/* RCM algorithm already applied on the vertices. Use an edge
connected to the starting vertex as the first edge */
List_ptr vfaces = MV_Faces(v0);
f0 = List_Entry(vfaces,0);
List_Delete(vfaces);
}
else {
/* Find the face whose mid point is a minimum point */
minx = miny = minz = 1.0e+12;
f0 = NULL;
idx = 0;
while ((mf = MESH_Next_Face(mesh,&idx))) {
double fxyz[MAXPV2][3];
int nfv;
MF_Coords(mf,&nfv,fxyz);
xyz[0] = fxyz[0][0];
xyz[1] = fxyz[0][1];
xyz[2] = fxyz[0][2];
for (i = 1; i < nfv; i++) {
xyz[0] += fxyz[i][0];
xyz[1] += fxyz[i][1];
xyz[2] += fxyz[i][2];
}
xyz[0] /= nfv; xyz[1] /= nfv; xyz[2] /= nfv;
if (xyz[0] < minx && xyz[1] < miny && xyz[2] < minz) {
minx = xyz[0];
miny = xyz[1];
minz = xyz[2];
f0 = mf;
}
}
}
nadj = (int *) malloc(nf*sizeof(int));
nalloc = nf*5;
adj = (int *) malloc(nalloc*sizeof(int));
if (!MESH_Num_Regions(mesh)) {
int nentries = 0;
i = 0;
idx = 0;
while ((mf = MESH_Next_Face(mesh,&idx))) {
List_ptr vfaces, fverts, adjflist;
MFace_ptr vf, adjf;
MVertex_ptr fv;
adjflist = List_New(0);
fverts = MF_Vertices(mf,1,0);
idx2 = 0;
while ((fv = List_Next_Entry(fverts,&idx2))) {
List_ptr vfaces = MV_Faces(fv);
idx3 = 0;
while ((adjf = List_Next_Entry(vfaces,&idx3))) {
if (adjf != mf) {
int fmarked;
#ifdef MSTK_USE_MARKERS
fmarked = MEnt_IsMarked(adjf,mkid);
#else
MEnt_Get_AttVal(adjf, mkatt, &fmarked, &rval, &pval);
#endif
if (fmarked) {
List_Add(adjflist,adjf);
#ifdef MSTK_USE_MARKERS
MEnt_Mark(adjf,mkid);
#else
MEnt_Set_AttVal(adjf, mkatt, 1, 0.0, NULL);
#endif
}
}
}
List_Delete(vfaces);
}
List_Delete(fverts);
#ifdef MSTK_USE_MARKERS
List_Unmark(adjflist,mkid);
#endif
nadj[i] = List_Num_Entries(adjflist);
if (nentries+nadj[i] > nalloc) {
nalloc *= 2;
adj = (int *) realloc(adj,nalloc*sizeof(int));
}
idx2 = 0;
while ((adjf = List_Next_Entry(adjflist,&idx2)))
adj[nentries++] = MF_ID(adjf)-1;
List_Delete(adjflist);
i++;
}
}
else {
int nentries = 0;
i = 0;
idx = 0;
while ((mf = MESH_Next_Face(mesh,&idx))) {
List_ptr fregions, adjflist;
MRegion_ptr fr;
MFace_ptr adjf;
adjflist = List_New(0);
fregions = MF_Regions(mf);
idx2 = 0;
while ((fr = List_Next_Entry(fregions,&idx2))) {
List_ptr rfaces = MR_Faces(fr);
idx3 = 0;
while ((adjf = List_Next_Entry(rfaces,&idx3))) {
if (adjf != mf) {
int fmarked;
#ifdef MSTK_USE_MARKERS
fmarked = MEnt_IsMarked(adjf,mkid);
#else
MEnt_Get_AttVal(adjf, mkatt, &fmarked, &rval, &pval);
#endif
if (fmarked) {
List_Add(adjflist,adjf);
#ifdef MSTK_USE_MARKERS
MEnt_Mark(adjf,mkid);
#else
MEnt_Set_AttVal(adjf, mkatt, 1, 0.0, NULL);
#endif
}
}
}
List_Delete(rfaces);
}
List_Delete(fregions);
#ifdef MSTK_USE_MARKERS
List_Unmark(adjflist,mkid);
#endif
nadj[i] = List_Num_Entries(adjflist);
if (nentries+nadj[i] > nalloc) {
nalloc *= 2;
adj = (int *) realloc(adj,nalloc*sizeof(int));
}
idx2 = 0;
while ((adjf = List_Next_Entry(adjflist,&idx2)))
adj[nentries++] = MF_ID(adjf)-1;
List_Delete(adjflist);
i++;
}
}
/* Compute offsets into adj array */
offset = (int *) malloc(nf*sizeof(int));
offset[0] = 0;
for (i = 1; i < nf; i++)
offset[i] = offset[i-1] + nadj[i-1];
/* Compute maximum bandwidth before renumbering */
maxbandwidth1 = 0;
avebandwidth1 = 0;
for (i = 0; i < nf; i++) {
int off = offset[i];
int curid = i;
for (j = 0; j < nadj[i]; j++) {
int adjid = adj[off+j];
int diff = abs(adjid-curid);
maxbandwidth1 = (diff > maxbandwidth1) ? diff : maxbandwidth1;
avebandwidth1 += diff;
nconn++;
}
}
nconn = offset[nf-1]+nadj[nf-1];
avebandwidth1 /= nconn;
if (MESH_Num_Regions(mesh)) {
fprintf(stderr,
"Ave face ID difference on elements before renumbering: %-lf\n",
avebandwidth1);
fprintf(stderr,
"Max face ID difference on elements before renumbering: %-d\n",
maxbandwidth1);
}
else {
fprintf(stderr,
"Ave face ID difference before renumbering: %-lf\n",
avebandwidth1);
fprintf(stderr,
"Max face ID difference before renumbering: %-d\n",
maxbandwidth1);
}
fprintf(stderr,"\n");
/* Call Graph Renumbering algorithm */
newmap = (int *) malloc(nf*sizeof(int));
Graph_Renumber_GPS(nf, MF_ID(f0)-1, nadj, adj, newmap, &depth, &maxwidth);
/* Compute bandwidth after renumbering */
maxbandwidth2 = 0;
avebandwidth2 = 0;
for (i = 0; i < nf; i++) {
int off = offset[i];
int curid = newmap[i];
for (j = 0; j < nadj[i]; j++) {
int adjid = newmap[adj[off+j]];
int diff = abs(adjid-curid);
maxbandwidth2 = (diff > maxbandwidth2) ? diff : maxbandwidth2;
avebandwidth2 += diff;
nconn++;
}
}
nconn = offset[nf-1]+nadj[nf-1];
avebandwidth2 /= nconn;
if (maxbandwidth2 < maxbandwidth1 && avebandwidth2 < avebandwidth1) {
/* Renumber */
idx = 0; i = 0;
while ((mf = MESH_Next_Face(mesh,&idx))) {
MF_Set_ID(mf,newmap[i]+1);
i++;
}
if (MESH_Num_Regions(mesh)) {
fprintf(stderr,
"Ave face ID difference on elements after renumbering: %-lf\n",
avebandwidth2);
fprintf(stderr,
"Max face ID difference on elements after renumbering: %-d\n",
maxbandwidth2);
}
else {
fprintf(stderr,
"Ave face ID difference after renumbering: %-lf\n",
avebandwidth2);
fprintf(stderr,
"Max face ID difference after renumbering: %-d\n",
maxbandwidth2);
}
}
else {
nf = 0;
idx = 0;
while ((mf = MESH_Next_Face(mesh,&idx)))
MF_Set_ID(mf,++nf);
fprintf(stderr,"Bandwidth did not improve. Keeping old numbering with gaps eliminated\n");
}
fprintf(stderr,"\n\n\n");
free(nadj);
free(adj);
free(offset);
free(newmap);
}
if (mtype == MREGION || mtype == MALLTYPE) {
int nr = MESH_Num_Regions(mesh);
if (nr) {
if (mtype == MALLTYPE) {
/* Renumbering algorithm already applied on the vertices. Use
a region connected to the starting vertex as the first
region */
List_ptr vregions = MV_Regions(v0);
r0 = List_Entry(vregions,0);
List_Delete(vregions);
}
else {
/* Find the region whose center point is a minimum point */
minx = miny = minz = 1.0e+12;
r0 = NULL;
idx = 0;
while ((mr = MESH_Next_Region(mesh,&idx))) {
double rxyz[MAXPV3][3];
int nrv;
MR_Coords(mr,&nrv,rxyz);
xyz[0] = rxyz[0][0];
xyz[1] = rxyz[0][1];
xyz[2] = rxyz[0][2];
for (i = 1; i < nrv; i++) {
xyz[0] += rxyz[i][0];
xyz[1] += rxyz[i][1];
xyz[2] += rxyz[i][2];
}
xyz[0] /= nrv; xyz[1] /= nrv; xyz[2] /= nrv;
if (xyz[0] < minx && xyz[1] < miny && xyz[2] < minz) {
minx = xyz[0];
miny = xyz[1];
minz = xyz[2];
r0 = mr;
}
}
}
nadj = (int *) malloc(nr*sizeof(int));
nalloc = nr*5;
adj = (int *) malloc(nalloc*sizeof(int));
int nentries = 0;
i = 0;
idx = 0;
while ((mr = MESH_Next_Region(mesh,&idx))) {
List_ptr vregions, rverts, adjrlist;
MRegion_ptr vr, adjr;
MVertex_ptr rv;
adjrlist = List_New(0);
rverts = MR_Vertices(mr);
idx2 = 0;
while ((rv = List_Next_Entry(rverts,&idx2))) {
List_ptr vregions = MV_Regions(rv);
idx3 = 0;
while ((adjr = List_Next_Entry(vregions,&idx3))) {
if (adjr != mr) {
int rmarked;
#ifdef MSTK_USE_MARKERS
rmarked = MEnt_IsMarked(adjr,mkid);
#else
MEnt_Get_AttVal(adjr, mkatt, &rmarked, &rval, &pval);
#endif
List_Add(adjrlist,adjr);
#ifdef MSTK_USE_MARKERS
MEnt_Mark(adjr,mkid);
#else
MEnt_Set_AttVal(adjr, mkatt, 1, 0.0, NULL);
#endif
}
}
List_Delete(vregions);
}
List_Delete(rverts);
#ifdef MSTK_USE_MARKERS
List_Unmark(adjrlist,mkid);
#endif
nadj[i] = List_Num_Entries(adjrlist);
if (nentries+nadj[i] > nalloc) {
nalloc *= 2;
adj = (int *) realloc(adj,nalloc*sizeof(int));
}
idx2 = 0;
while ((adjr = List_Next_Entry(adjrlist,&idx2)))
adj[nentries++] = MR_ID(adjr)-1;
List_Delete(adjrlist);
i++;
}
/* Compute offsets into adj array */
offset = (int *) malloc(nr*sizeof(int));
offset[0] = 0;
for (i = 1; i < nr; i++)
offset[i] = offset[i-1] + nadj[i-1];
/* Compute maximum bandwidth before renumbering */
maxbandwidth1 = 0;
avebandwidth1 = 0;
for (i = 0; i < nr; i++) {
int off = offset[i];
int curid = i;
for (j = 0; j < nadj[i]; j++) {
int adjid = adj[off+j];
int diff = abs(adjid-curid);
maxbandwidth1 = (diff > maxbandwidth1) ? diff : maxbandwidth1;
avebandwidth1 += diff;
nconn++;
}
}
nconn = offset[nr-1]+nadj[nr-1];
avebandwidth1 /= nconn;
fprintf(stderr,
"Ave region ID difference before renumbering: %-lf\n",
avebandwidth1);
fprintf(stderr,
"Max region ID difference before renumbering: %-d\n",
maxbandwidth1);
fprintf(stderr,"\n");
/* Call Graph Renumbering algorithm */
newmap = (int *) malloc(nr*sizeof(int));
Graph_Renumber_GPS(nr, MR_ID(r0)-1, nadj, adj, newmap, &depth, &maxwidth);
/* Compute bandwidth after renumbering */
maxbandwidth2 = 0;
avebandwidth2 = 0;
for (i = 0; i < nr; i++) {
int off = offset[i];
int curid = newmap[i];
for (j = 0; j < nadj[i]; j++) {
int adjid = newmap[adj[off+j]];
int diff = abs(adjid-curid);
maxbandwidth2 = (diff > maxbandwidth2) ? diff : maxbandwidth2;
avebandwidth2 += diff;
nconn++;
}
}
nconn = offset[nr-1]+nadj[nr-1];
avebandwidth2 /= nconn;
if (maxbandwidth2 < maxbandwidth1 && avebandwidth2 < avebandwidth1) {
/* Renumber */
idx = 0; i = 0;
while ((mr = MESH_Next_Region(mesh,&idx))) {
MR_Set_ID(mr,newmap[i]+1);
i++;
}
fprintf(stderr,
"Ave region ID difference after renumbering: %-lf\n",
avebandwidth2);
fprintf(stderr,
"Max region ID difference after renumbering: %-d\n",
maxbandwidth2);
}
else {
nr = 0;
idx = 0;
while ((mr = MESH_Next_Region(mesh,&idx)))
MR_Set_ID(mr,++nr);
fprintf(stderr,"Bandwidth did not improve. Keeping old numbering with gaps eliminated\n");
}
fprintf(stderr,"\n\n\n");
free(nadj);
free(adj);
free(offset);
free(newmap);
}
}
#ifdef MSTK_USE_MARKERS
MSTK_FreeMarker(mkid);
#endif
}
vidatt = MAttrib_New(mesh,"vidrcm",INT,MVERTEX);
idx = 0;
while ((mv = MESH_Next_Vertex(mesh,&idx))) {
MEnt_Set_AttVal(mv,vidatt,MV_ID(mv),0.0,NULL);
}
/* We have to reset the max IDs stored in the mesh so that we can correctly
assign IDs to new entities */
MESH_Reset_Cached_MaxIDs(mesh);
return;
}
int MESH_PartitionWithZoltan(Mesh_ptr mesh, int nparts, int **part, int noptions,
char **options, MSTK_Comm comm) {
MEdge_ptr fedge;
MFace_ptr mf, oppf, rface;
MRegion_ptr mr, oppr;
List_ptr fedges, efaces, rfaces, fregions;
int i, j, k, id;
int nv, ne, nf, nr=0, nfe, nef, nfr, nrf, idx, idx2;
int numflag, nedgecut, ipos;
int wtflag;
int rc;
float ver;
struct Zoltan_Struct *zz;
GRAPH_DATA graph;
int changes, numGidEntries, numLidEntries, numImport, numExport;
ZOLTAN_ID_PTR importGlobalGids, importLocalGids, exportGlobalGids, exportLocalGids;
int *importProcs, *importToPart, *exportProcs, *exportToPart;
int rank;
MPI_Comm_rank(comm,&rank);
rc = Zoltan_Initialize(0, NULL, &ver);
if (rc != ZOLTAN_OK){
MSTK_Report("MESH_PartitionWithZoltan","Could not initialize Zoltan",MSTK_FATAL);
MPI_Finalize();
exit(0);
}
/******************************************************************
** Create a Zoltan library structure for this instance of partition
********************************************************************/
zz = Zoltan_Create(comm);
/*****************************************************************
** Figure out partitioning method
*****************************************************************/
char partition_method_str[32];
strcpy(partition_method_str,"RCB"); /* Default - Recursive Coordinate Bisection */
if (noptions) {
for (i = 0; i < noptions; i++) {
if (strncmp(options[i],"LB_PARTITION",12) == 0) {
char *result = NULL, instring[256];
strcpy(instring,options[i]);
result = strtok(instring,"=");
result = strtok(NULL," ");
strcpy(partition_method_str,result);
}
}
}
if (rank == 0) {
char mesg[256];
sprintf(mesg,"Using partitioning method %s for ZOLTAN\n",partition_method_str);
MSTK_Report("MESH_PartitionWithZoltan",mesg,MSTK_MESG);
}
/* General parameters for Zoltan */
Zoltan_Set_Param(zz, "DEBUG_LEVEL", "0");
Zoltan_Set_Param(zz, "LB_METHOD", partition_method_str);
Zoltan_Set_Param(zz, "LB_APPROACH", "PARTITION");
Zoltan_Set_Param(zz, "NUM_GID_ENTRIES", "1");
Zoltan_Set_Param(zz, "NUM_LID_ENTRIES", "1");
Zoltan_Set_Param(zz, "RETURN_LISTS", "ALL");
graph.numMyNodes = 0;
graph.numAllNbors = 0;
graph.nodeGID = NULL;
graph.nodeCoords = NULL;
graph.nborIndex = NULL;
graph.nborGID = NULL;
graph.nborProc = NULL;
if (strcmp(partition_method_str,"RCB") == 0) {
if (rank == 0) {
nr = MESH_Num_Regions(mesh);
nf = MESH_Num_Faces(mesh);
if (!nf && !nr)
MSTK_Report("MESH_PartitionWithZoltan","Cannot partition wire meshes",
MSTK_FATAL);
if (nr == 0) { /* Surface or planar mesh */
int ndim = 2; /* assume mesh is planar */
idx = 0;
MVertex_ptr mv;
while ((mv = MESH_Next_Vertex(mesh,&idx))) {
double vxyz[3];
MV_Coords(mv,vxyz);
if (vxyz[2] != 0.0) {
ndim = 3; /* non-planar or planar with non-zero z */
break;
}
}
NDIM_4_ZOLTAN = ndim-1; /* ignore last dimension to avoid partitioning in that dimension */
graph.numMyNodes = nf;
graph.nodeGID = (ZOLTAN_ID_TYPE *) malloc(sizeof(ZOLTAN_ID_TYPE) * nf);
graph.nodeCoords = (double *) malloc(sizeof(double) * NDIM_4_ZOLTAN * nf);
idx = 0;
while ((mf = MESH_Next_Face(mesh,&idx))) {
double fxyz[MAXPV2][3], cen[3];
int nfv;
MF_Coords(mf,&nfv,fxyz);
cen[0] = cen[1] = cen[2] = 0.0;
for (j = 0; j < nfv; j++)
for (k = 0; k < NDIM_4_ZOLTAN; k++)
cen[k] += fxyz[j][k];
for (k = 0; k < NDIM_4_ZOLTAN; k++) cen[k] /= nfv;
id = MF_ID(mf);
graph.nodeGID[id-1] = id;
memcpy(&(graph.nodeCoords[NDIM_4_ZOLTAN*(id-1)]),cen,NDIM_4_ZOLTAN*sizeof(double));
}
}
else { /* Volume mesh */
int ndim = 3;
NDIM_4_ZOLTAN = ndim-1; /* ignore last dimension to avoid partitioning in that dimension */
graph.numMyNodes = nr;
graph.nodeGID = (ZOLTAN_ID_TYPE *) malloc(sizeof(ZOLTAN_ID_TYPE) * nr);
graph.nodeCoords = (double *) malloc(sizeof(double) * NDIM_4_ZOLTAN * nr);
idx = 0;
while ((mr = MESH_Next_Region(mesh,&idx))) {
double rxyz[MAXPV3][3], cen[3];
int nrv;
MR_Coords(mr,&nrv,rxyz);
cen[0] = cen[1] = cen[2] = 0.0;
for (j = 0; j < nrv; j++)
for (k = 0; k < NDIM_4_ZOLTAN; k++)
cen[k] += rxyz[j][k];
for (k = 0; k < NDIM_4_ZOLTAN; k++) cen[k] /= nrv;
for (k = 0; k < NDIM_4_ZOLTAN; k++)
if (fabs(cen[k]) < 1.0e-10) cen[k] = 0.0;
id = MR_ID(mr);
graph.nodeGID[id-1] = id;
memcpy(&(graph.nodeCoords[NDIM_4_ZOLTAN*(id-1)]),cen,NDIM_4_ZOLTAN*sizeof(double));
}
}
}
MPI_Bcast(&NDIM_4_ZOLTAN,1,MPI_INT,0,comm);
/* Set some default values */
Zoltan_Set_Param(zz, "RCB_RECTILINEAR_BLOCKS","1");
// Zoltan_Set_Param(zz, "AVERAGE_CUTS", "1");
if (noptions > 1) {
for (i = 1; i < noptions; i++) {
char *paramstr = NULL, *valuestr = NULL, instring[256];
strcpy(instring,options[i]);
paramstr = strtok(instring,"=");
valuestr = strtok(NULL," ");
Zoltan_Set_Param(zz,paramstr,valuestr);
}
}
/* Query functions - defined in simpleQueries.h */
Zoltan_Set_Num_Obj_Fn(zz, get_number_of_nodes, &graph);
Zoltan_Set_Obj_List_Fn(zz, get_node_list, &graph);
Zoltan_Set_Num_Geom_Fn(zz, get_num_dimensions_reduced, &graph); /* reduced dimensions */
Zoltan_Set_Geom_Multi_Fn(zz, get_element_centers_reduced, &graph); /* reduced dimension centers */
}
else if (strcmp(partition_method_str,"GRAPH") == 0) {
if(rank == 0) {
nv = MESH_Num_Vertices(mesh);
ne = MESH_Num_Edges(mesh);
nf = MESH_Num_Faces(mesh);
nr = MESH_Num_Regions(mesh);
ipos = 0;
/* build nodes and neighbors list, similar as in partition with metis
Assign processor 0 the whole mesh, assign other processors a NULL mesh */
if (nr == 0) {
if (nf == 0) {
MSTK_Report("MESH_PartitionWithZoltan",
"Cannot partition wire meshes with Zoltan",MSTK_FATAL);
exit(-1);
}
graph.nodeGID = (ZOLTAN_ID_TYPE *)malloc(sizeof(ZOLTAN_ID_TYPE) * nf);
graph.nborIndex = (int *)malloc(sizeof(int) * (nf + 1));
graph.nborGID = (ZOLTAN_ID_TYPE *)malloc(sizeof(ZOLTAN_ID_TYPE) * 2*ne);
graph.nborProc = (int *)malloc(sizeof(int) * 2*ne);
graph.nborIndex[0] = 0;
/* Surface mesh */
idx = 0; i = 0;
while ((mf = MESH_Next_Face(mesh,&idx))) {
graph.nodeGID[i] = MF_ID(mf);
fedges = MF_Edges(mf,1,0);
nfe = List_Num_Entries(fedges);
idx2 = 0;
while ((fedge = List_Next_Entry(fedges,&idx2))) {
efaces = ME_Faces(fedge);
nef = List_Num_Entries(efaces);
if (nef == 1) {
continue; /* boundary edge; nothing to do */
} else {
int j;
for (j = 0; j < nef; j++) {
oppf = List_Entry(efaces,j);
if (oppf == mf) {
graph.nborGID[ipos] = MF_ID(oppf);
/* initially set all nodes on processor 0 */
graph.nborProc[ipos] = 0;
ipos++;
}
}
}
List_Delete(efaces);
}
List_Delete(fedges);
i++;
graph.nborIndex[i] = ipos;
}
graph.numMyNodes = i;
graph.numAllNbors = ipos;
}
else {
graph.nodeGID = (ZOLTAN_ID_TYPE *)malloc(sizeof(ZOLTAN_ID_TYPE) * nr);
graph.nborIndex = (int *)malloc(sizeof(int) * (nr + 1));
graph.nborGID = (ZOLTAN_ID_TYPE *)malloc(sizeof(ZOLTAN_ID_TYPE) * 2*nf);
graph.nborProc = (int *)malloc(sizeof(int) * 2*nf);
graph.nborIndex[0] = 0;
/* Volume mesh */
idx = 0; i = 0;
while ((mr = MESH_Next_Region(mesh,&idx))) {
graph.nodeGID[i] = MR_ID(mr);
rfaces = MR_Faces(mr);
nrf = List_Num_Entries(rfaces);
idx2 = 0;
while ((rface = List_Next_Entry(rfaces,&idx2))) {
fregions = MF_Regions(rface);
nfr = List_Num_Entries(fregions);
if (nfr > 1) {
oppr = List_Entry(fregions,0);
if (oppr == mr)
oppr = List_Entry(fregions,1);
graph.nborGID[ipos] = MR_ID(oppr);
/* initially set all nodes on processor 0 */
graph.nborProc[ipos] = 0;
ipos++;
}
List_Delete(fregions);
}
List_Delete(rfaces);
i++;
graph.nborIndex[i] = ipos;
}
graph.numMyNodes = i;
graph.numAllNbors = ipos;
}
}
/* Graph parameters */
/* Zoltan_Set_Param(zz, "CHECK_GRAPH", "2"); */
Zoltan_Set_Param(zz, "PHG_EDGE_SIZE_THRESHOLD", ".35"); /* 0-remove all, 1-remove none */
/* Query functions - defined in simpleQueries.h */
Zoltan_Set_Num_Obj_Fn(zz, get_number_of_nodes, &graph);
Zoltan_Set_Obj_List_Fn(zz, get_node_list, &graph);
Zoltan_Set_Num_Edges_Multi_Fn(zz, get_num_edges_list, &graph);
Zoltan_Set_Edge_List_Multi_Fn(zz, get_edge_list, &graph);
}
/* Partition the graph */
/******************************************************************
** Zoltan can now partition the graph.
** We assume the number of partitions is
** equal to the number of processes. Process rank 0 will own
** partition 0, process rank 1 will own partition 1, and so on.
******************************************************************/
rc = Zoltan_LB_Partition(zz, /* input (all remaining fields are output) */
&changes, /* 1 if partitioning was changed, 0 otherwise */
&numGidEntries, /* Number of integers used for a global ID */
&numLidEntries, /* Number of integers used for a local ID */
&numImport, /* Number of nodes to be sent to me */
&importGlobalGids, /* Global IDs of nodes to be sent to me */
&importLocalGids, /* Local IDs of nodes to be sent to me */
&importProcs, /* Process rank for source of each incoming node */
&importToPart, /* New partition for each incoming node */
&numExport, /* Number of nodes I must send to other processes*/
&exportGlobalGids, /* Global IDs of the nodes I must send */
&exportLocalGids, /* Local IDs of the nodes I must send */
&exportProcs, /* Process to which I send each of the nodes */
&exportToPart); /* Partition to which each node will belong */
if (rc != ZOLTAN_OK){
if (rank == 0)
MSTK_Report("MESH_PartitionWithZoltan","Could not partition mesh with ZOLTAN",
MSTK_ERROR);
Zoltan_Destroy(&zz);
MPI_Finalize();
return 0;
}
if(rank == 0) {
*part = (int *) calloc(graph.numMyNodes,sizeof(int));
for ( i = 0; i < numExport; i++ ) {
(*part)[exportGlobalGids[i]-1] = exportToPart[i];
}
if (graph.nodeGID) free(graph.nodeGID);
if (graph.nodeCoords) free(graph.nodeCoords);
if (graph.nborIndex) free(graph.nborIndex);
if (graph.nborGID) free(graph.nborGID);
if (graph.nborProc) free(graph.nborProc);
}
else {
*part = NULL;
}
Zoltan_LB_Free_Part(&exportGlobalGids, &exportLocalGids, &exportProcs, &exportToPart);
Zoltan_LB_Free_Part(&importGlobalGids, &importLocalGids, &importProcs, &importToPart);
Zoltan_Destroy(&zz);
return 1;
}