/*****************************************************************************
* This function creates a graph corresponding to the finite element mesh.
* At this point the supported elements are triangles, tetrahedrons.
******************************************************************************/
void METIS_MeshToNodal(int *ne, int *nn, idxtype *elmnts, int *etype, int *numflag,
idxtype *dxadj, idxtype *dadjncy)
{
int esizes[] = {-1, 3, 4, 8, 4};
if (*numflag == 1)
ChangeMesh2CNumbering((*ne)*esizes[*etype], elmnts);
switch (*etype) {
case 1:
TRINODALMETIS(*ne, *nn, elmnts, dxadj, dadjncy);
break;
case 2:
TETNODALMETIS(*ne, *nn, elmnts, dxadj, dadjncy);
break;
case 3:
HEXNODALMETIS(*ne, *nn, elmnts, dxadj, dadjncy);
break;
case 4:
QUADNODALMETIS(*ne, *nn, elmnts, dxadj, dadjncy);
break;
}
if (*numflag == 1)
ChangeMesh2FNumbering((*ne)*esizes[*etype], elmnts, *nn, dxadj, dadjncy);
}
/*****************************************************************************
* This function creates a graph corresponding to the dual of a finite element
* mesh. At this point the supported elements are triangles, tetrahedrons, and
* bricks.
******************************************************************************/
void METIS_MeshToDual(int *ne, int *nn, idxtype *elmnts, int *etype, int *numflag,
idxtype *dxadj, idxtype *dadjncy)
{
int esizes[] = {-1, 3, 4, 8, 4};
if (*numflag == 1)
ChangeMesh2CNumbering((*ne)*esizes[*etype], elmnts);
GENDUALMETIS(*ne, *nn, *etype, elmnts, dxadj, dadjncy);
if (*numflag == 1)
ChangeMesh2FNumbering((*ne)*esizes[*etype], elmnts, *ne, dxadj, dadjncy);
}
int METIS_MeshToDual(idx_t *ne, idx_t *nn, idx_t *eptr, idx_t *eind,
idx_t *ncommon, idx_t *numflag, idx_t **r_xadj, idx_t **r_adjncy)
{
int sigrval=0, renumber=0;
/* set up malloc cleaning code and signal catchers */
if (!gk_malloc_init())
return METIS_ERROR_MEMORY;
gk_sigtrap();
if ((sigrval = gk_sigcatch()) != 0)
goto SIGTHROW;
/* renumber the mesh */
if (*numflag == 1) {
ChangeMesh2CNumbering(*ne, eptr, eind);
renumber = 1;
}
/* create dual graph */
*r_xadj = *r_adjncy = NULL;
CreateGraphDual(*ne, *nn, eptr, eind, *ncommon, r_xadj, r_adjncy);
SIGTHROW:
if (renumber)
ChangeMesh2FNumbering(*ne, eptr, eind, *ne, *r_xadj, *r_adjncy);
gk_siguntrap();
gk_malloc_cleanup(0);
if (sigrval != 0) {
if (*r_xadj != NULL)
free(*r_xadj);
if (*r_adjncy != NULL)
free(*r_adjncy);
*r_xadj = *r_adjncy = NULL;
}
return metis_rcode(sigrval);
}
/*************************************************************************
* This function partitions a finite element mesh by partitioning its dual
* graph using KMETIS and then assigning nodes in a load balanced fashion.
**************************************************************************/
int METIS_PartMeshDual(idx_t *ne, idx_t *nn, idx_t *eptr, idx_t *eind,
idx_t *vwgt, idx_t *vsize, idx_t *ncommon, idx_t *nparts,
real_t *tpwgts, idx_t *options, idx_t *objval, idx_t *epart,
idx_t *npart)
{
int sigrval=0, renumber=0, ptype;
idx_t i, j;
idx_t *xadj=NULL, *adjncy=NULL, *nptr=NULL, *nind=NULL;
idx_t ncon=1, pnumflag=0;
int rstatus = METIS_OK;
/* set up malloc cleaning code and signal catchers */
if (!gk_malloc_init())
return METIS_ERROR_MEMORY;
gk_sigtrap();
if ((sigrval = gk_sigcatch()) != 0)
goto SIGTHROW;
renumber = GETOPTION(options, METIS_OPTION_NUMBERING, 0);
ptype = GETOPTION(options, METIS_OPTION_PTYPE, METIS_PTYPE_KWAY);
/* renumber the mesh */
if (renumber) {
ChangeMesh2CNumbering(*ne, eptr, eind);
options[METIS_OPTION_NUMBERING] = 0;
}
/* get the dual graph */
rstatus = METIS_MeshToDual(ne, nn, eptr, eind, ncommon, &pnumflag, &xadj, &adjncy);
if (rstatus != METIS_OK)
raise(SIGERR);
/* partition the graph */
if (ptype == METIS_PTYPE_KWAY)
rstatus = METIS_PartGraphKway(ne, &ncon, xadj, adjncy, vwgt, vsize, NULL,
nparts, tpwgts, NULL, options, objval, epart);
else
rstatus = METIS_PartGraphRecursive(ne, &ncon, xadj, adjncy, vwgt, vsize, NULL,
nparts, tpwgts, NULL, options, objval, epart);
if (rstatus != METIS_OK)
raise(SIGERR);
/* construct the node-element list */
nptr = ismalloc(*nn+1, 0, "METIS_PartMeshDual: nptr");
nind = imalloc(eptr[*ne], "METIS_PartMeshDual: nind");
for (i=0; i<*ne; i++) {
for (j=eptr[i]; j<eptr[i+1]; j++)
nptr[eind[j]]++;
}
MAKECSR(i, *nn, nptr);
for (i=0; i<*ne; i++) {
for (j=eptr[i]; j<eptr[i+1]; j++)
nind[nptr[eind[j]]++] = i;
}
SHIFTCSR(i, *nn, nptr);
/* partition the other side of the mesh */
InduceRowPartFromColumnPart(*nn, nptr, nind, npart, epart, *nparts, tpwgts);
gk_free((void **)&nptr, &nind, LTERM);
SIGTHROW:
if (renumber) {
ChangeMesh2FNumbering2(*ne, *nn, eptr, eind, epart, npart);
options[METIS_OPTION_NUMBERING] = 1;
}
METIS_Free(xadj);
METIS_Free(adjncy);
gk_siguntrap();
gk_malloc_cleanup(0);
return metis_rcode(sigrval);
}
/*************************************************************************
* This function partitions a finite element mesh by partitioning its nodal
* graph using KMETIS and then assigning elements in a load balanced fashion.
**************************************************************************/
int METIS_PartMeshNodal(idx_t *ne, idx_t *nn, idx_t *eptr, idx_t *eind,
idx_t *vwgt, idx_t *vsize, idx_t *nparts, real_t *tpwgts,
idx_t *options, idx_t *objval, idx_t *epart, idx_t *npart)
{
int sigrval=0, renumber=0, ptype;
idx_t *xadj=NULL, *adjncy=NULL;
idx_t ncon=1, pnumflag=0;
int rstatus=METIS_OK;
/* set up malloc cleaning code and signal catchers */
if (!gk_malloc_init())
return METIS_ERROR_MEMORY;
gk_sigtrap();
if ((sigrval = gk_sigcatch()) != 0)
goto SIGTHROW;
renumber = GETOPTION(options, METIS_OPTION_NUMBERING, 0);
ptype = GETOPTION(options, METIS_OPTION_PTYPE, METIS_PTYPE_KWAY);
/* renumber the mesh */
if (renumber) {
ChangeMesh2CNumbering(*ne, eptr, eind);
options[METIS_OPTION_NUMBERING] = 0;
}
/* get the nodal graph */
rstatus = METIS_MeshToNodal(ne, nn, eptr, eind, &pnumflag, &xadj, &adjncy);
if (rstatus != METIS_OK)
raise(SIGERR);
/* partition the graph */
if (ptype == METIS_PTYPE_KWAY)
rstatus = METIS_PartGraphKway(nn, &ncon, xadj, adjncy, vwgt, vsize, NULL,
nparts, tpwgts, NULL, options, objval, npart);
else
rstatus = METIS_PartGraphRecursive(nn, &ncon, xadj, adjncy, vwgt, vsize, NULL,
nparts, tpwgts, NULL, options, objval, npart);
if (rstatus != METIS_OK)
raise(SIGERR);
/* partition the other side of the mesh */
InduceRowPartFromColumnPart(*ne, eptr, eind, epart, npart, *nparts, tpwgts);
SIGTHROW:
if (renumber) {
ChangeMesh2FNumbering2(*ne, *nn, eptr, eind, epart, npart);
options[METIS_OPTION_NUMBERING] = 1;
}
METIS_Free(xadj);
METIS_Free(adjncy);
gk_siguntrap();
gk_malloc_cleanup(0);
return metis_rcode(sigrval);
}
/*************************************************************************
* This function partitions a finite element mesh by partitioning its nodal
* graph using KMETIS and then assigning elements in a load balanced fashion.
**************************************************************************/
void METIS_PartMeshNodal(int *ne, int *nn, idxtype *elmnts, int *etype, int *numflag,
int *nparts, int *edgecut, idxtype *epart, idxtype *npart)
{
int i, j, k, me;
idxtype *xadj, *adjncy, *pwgts;
int options[10], pnumflag=0, wgtflag=0;
int nnbrs, nbrind[200], nbrwgt[200], maxpwgt;
int esize, esizes[] = {-1, 3, 4, 8, 4};
esize = esizes[*etype];
if (*numflag == 1)
ChangeMesh2CNumbering((*ne)*esize, elmnts);
xadj = idxmalloc(*nn+1, "METIS_MESHPARTNODAL: xadj");
adjncy = idxmalloc(20*(*nn), "METIS_MESHPARTNODAL: adjncy");
METIS_MeshToNodal(ne, nn, elmnts, etype, &pnumflag, xadj, adjncy);
adjncy = realloc(adjncy, xadj[*nn]*sizeof(idxtype));
options[0] = 0;
METIS_PartGraphKway(nn, xadj, adjncy, NULL, NULL, &wgtflag, &pnumflag, nparts, options, edgecut, npart);
/* OK, now compute an element partition based on the nodal partition npart */
idxset(*ne, -1, epart);
pwgts = idxsmalloc(*nparts, 0, "METIS_MESHPARTNODAL: pwgts");
for (i=0; i<*ne; i++) {
me = npart[elmnts[i*esize]];
for (j=1; j<esize; j++) {
if (npart[elmnts[i*esize+j]] != me)
break;
}
if (j == esize) {
epart[i] = me;
pwgts[me]++;
}
}
maxpwgt = 1.03*(*ne)/(*nparts);
for (i=0; i<*ne; i++) {
if (epart[i] == -1) { /* Assign the boundary element */
nnbrs = 0;
for (j=0; j<esize; j++) {
me = npart[elmnts[i*esize+j]];
for (k=0; k<nnbrs; k++) {
if (nbrind[k] == me) {
nbrwgt[k]++;
break;
}
}
if (k == nnbrs) {
nbrind[nnbrs] = me;
nbrwgt[nnbrs++] = 1;
}
}
/* Try to assign it first to the domain with most things in common */
j = iamax(nnbrs, nbrwgt);
if (pwgts[nbrind[j]] < maxpwgt) {
epart[i] = nbrind[j];
}
else {
/* If that fails, assign it to a light domain */
for (j=0; j<nnbrs; j++) {
if (pwgts[nbrind[j]] < maxpwgt) {
epart[i] = nbrind[j];
break;
}
}
if (j == nnbrs)
epart[i] = nbrind[iamax(nnbrs, nbrwgt)];
}
pwgts[epart[i]]++;
}
}
if (*numflag == 1)
ChangeMesh2FNumbering2((*ne)*esize, elmnts, *ne, *nn, epart, npart);
GKfree(&xadj, &adjncy, &pwgts, LTERM);
}
void METIS_PartMeshDual_WV(int *ne, int *nn, idxtype *elmnts, int *etype, int *numflag,
int *nparts, int *edgecut, idxtype *epart, idxtype *npart, idxtype *vwgts)
{
int i, j, k, me;
idxtype *xadj, *adjncy, *pwgts, *nptr, *nind;
int options[10], pnumflag=0, wgtflag=2;
int nnbrs, nbrind[200], nbrwgt[200], maxpwgt;
int esize, esizes[] = {-1, 3, 4, 8, 4};
esize = esizes[*etype];
if (*numflag == 1)
ChangeMesh2CNumbering((*ne)*esize, elmnts);
xadj = idxmalloc(*ne+1, "METIS_MESHPARTNODAL: xadj");
adjncy = idxmalloc(esize*(*ne), "METIS_MESHPARTNODAL: adjncy");
METIS_MeshToDual(ne, nn, elmnts, etype, &pnumflag, xadj, adjncy);
options[0] = 0;
METIS_PartGraphKway(ne, xadj, adjncy, vwgts, NULL, &wgtflag, &pnumflag, nparts, options, edgecut, epart);
/* Construct the node-element list */
nptr = idxsmalloc(*nn+1, 0, "METIS_MESHPARTDUAL: nptr");
for (j=esize*(*ne), i=0; i<j; i++)
nptr[elmnts[i]]++;
MAKECSR(i, *nn, nptr);
nind = idxmalloc(nptr[*nn], "METIS_MESHPARTDUAL: nind");
for (k=i=0; i<(*ne); i++) {
for (j=0; j<esize; j++, k++)
nind[nptr[elmnts[k]]++] = i;
}
for (i=(*nn); i>0; i--)
nptr[i] = nptr[i-1];
nptr[0] = 0;
/* OK, now compute a nodal partition based on the element partition npart */
idxset(*nn, -1, npart);
pwgts = idxsmalloc(*nparts, 0, "METIS_MESHPARTDUAL: pwgts");
for (i=0; i<*nn; i++) {
me = epart[nind[nptr[i]]];
for (j=nptr[i]+1; j<nptr[i+1]; j++) {
if (epart[nind[j]] != me)
break;
}
if (j == nptr[i+1]) {
npart[i] = me;
pwgts[me]++;
}
}
maxpwgt = 1.03*(*nn)/(*nparts);
for (i=0; i<*nn; i++) {
if (npart[i] == -1) { /* Assign the boundary element */
nnbrs = 0;
for (j=nptr[i]; j<nptr[i+1]; j++) {
me = epart[nind[j]];
for (k=0; k<nnbrs; k++) {
if (nbrind[k] == me) {
nbrwgt[k]++;
break;
}
}
if (k == nnbrs) {
nbrind[nnbrs] = me;
nbrwgt[nnbrs++] = 1;
}
}
/* Try to assign it first to the domain with most things in common */
j = iamax(nnbrs, nbrwgt);
if (pwgts[nbrind[j]] < maxpwgt) {
npart[i] = nbrind[j];
}
else {
/* If that fails, assign it to a light domain */
npart[i] = nbrind[0];
for (j=0; j<nnbrs; j++) {
if (pwgts[nbrind[j]] < maxpwgt) {
npart[i] = nbrind[j];
break;
}
}
}
pwgts[npart[i]]++;
}
}
if (*numflag == 1)
ChangeMesh2FNumbering2((*ne)*esize, elmnts, *ne, *nn, epart, npart);
GKfree(&xadj, &adjncy, &pwgts, &nptr, &nind, LTERM);
}
