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authorTor Aamodt <[email protected]>2010-07-15 18:09:46 -0800
committerTor Aamodt <[email protected]>2010-07-15 18:09:46 -0800
commit69f2911e04ffb1b19eef1fafb8c040af271f656e (patch)
tree231d3b6bdc3a202f7c255bfcf7bf2c36e32cee9e /benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mfm.c
creating branch for adding support for CUDA 3.x and Fermi
[git-p4: depot-paths = "//depot/gpgpu_sim_research/fermi/distribution/": change = 6829]
Diffstat (limited to 'benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mfm.c')
-rw-r--r--benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mfm.c341
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diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mfm.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mfm.c
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@@ -0,0 +1,341 @@
+/*
+ * Copyright 1997, Regents of the University of Minnesota
+ *
+ * mfm.c
+ *
+ * This file contains code that implements the edge-based FM refinement
+ *
+ * Started 7/23/97
+ * George
+ *
+ * $Id: mfm.c,v 1.1 2003/07/24 18:39:09 karypis Exp $
+ */
+
+#include <metis.h>
+
+
+/*************************************************************************
+* This function performs an edge-based FM refinement
+**************************************************************************/
+void MocFM_2WayEdgeRefine(CtrlType *ctrl, GraphType *graph, float *tpwgts, int npasses)
+{
+ int i, ii, j, k, l, kwgt, nvtxs, ncon, nbnd, nswaps, from, to, pass, me, limit, tmp, cnum;
+ idxtype *xadj, *adjncy, *adjwgt, *where, *id, *ed, *bndptr, *bndind;
+ idxtype *moved, *swaps, *perm, *qnum;
+ float *nvwgt, *npwgts, mindiff[MAXNCON], origbal, minbal, newbal;
+ PQueueType parts[MAXNCON][2];
+ int higain, oldgain, mincut, initcut, newcut, mincutorder;
+ float rtpwgts[2];
+
+ nvtxs = graph->nvtxs;
+ ncon = graph->ncon;
+ xadj = graph->xadj;
+ nvwgt = graph->nvwgt;
+ adjncy = graph->adjncy;
+ adjwgt = graph->adjwgt;
+ where = graph->where;
+ id = graph->id;
+ ed = graph->ed;
+ npwgts = graph->npwgts;
+ bndptr = graph->bndptr;
+ bndind = graph->bndind;
+
+ moved = idxwspacemalloc(ctrl, nvtxs);
+ swaps = idxwspacemalloc(ctrl, nvtxs);
+ perm = idxwspacemalloc(ctrl, nvtxs);
+ qnum = idxwspacemalloc(ctrl, nvtxs);
+
+ limit = amin(amax(0.01*nvtxs, 25), 150);
+
+ /* Initialize the queues */
+ for (i=0; i<ncon; i++) {
+ PQueueInit(ctrl, &parts[i][0], nvtxs, PLUS_GAINSPAN+1);
+ PQueueInit(ctrl, &parts[i][1], nvtxs, PLUS_GAINSPAN+1);
+ }
+ for (i=0; i<nvtxs; i++)
+ qnum[i] = samax(ncon, nvwgt+i*ncon);
+
+ origbal = Compute2WayHLoadImbalance(ncon, npwgts, tpwgts);
+
+ rtpwgts[0] = origbal*tpwgts[0];
+ rtpwgts[1] = origbal*tpwgts[1];
+
+ if (ctrl->dbglvl&DBG_REFINE) {
+ printf("Parts: [");
+ for (l=0; l<ncon; l++)
+ printf("(%.3f, %.3f) ", npwgts[l], npwgts[ncon+l]);
+ printf("] T[%.3f %.3f], Nv-Nb[%5d, %5d]. ICut: %6d, LB: %.3f\n", tpwgts[0], tpwgts[1], graph->nvtxs, graph->nbnd, graph->mincut, origbal);
+ }
+
+ idxset(nvtxs, -1, moved);
+ for (pass=0; pass<npasses; pass++) { /* Do a number of passes */
+ for (i=0; i<ncon; i++) {
+ PQueueReset(&parts[i][0]);
+ PQueueReset(&parts[i][1]);
+ }
+
+ mincutorder = -1;
+ newcut = mincut = initcut = graph->mincut;
+ for (i=0; i<ncon; i++)
+ mindiff[i] = fabs(tpwgts[0]-npwgts[i]);
+ minbal = Compute2WayHLoadImbalance(ncon, npwgts, tpwgts);
+
+ ASSERT(ComputeCut(graph, where) == graph->mincut);
+ ASSERT(CheckBnd(graph));
+
+ /* Insert boundary nodes in the priority queues */
+ nbnd = graph->nbnd;
+ RandomPermute(nbnd, perm, 1);
+ for (ii=0; ii<nbnd; ii++) {
+ i = bndind[perm[ii]];
+ ASSERT(ed[i] > 0 || id[i] == 0);
+ ASSERT(bndptr[i] != -1);
+ PQueueInsert(&parts[qnum[i]][where[i]], i, ed[i]-id[i]);
+ }
+
+ for (nswaps=0; nswaps<nvtxs; nswaps++) {
+ SelectQueue(ncon, npwgts, rtpwgts, &from, &cnum, parts);
+ to = (from+1)%2;
+
+ if (from == -1 || (higain = PQueueGetMax(&parts[cnum][from])) == -1)
+ break;
+ ASSERT(bndptr[higain] != -1);
+
+ saxpy(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1);
+ saxpy(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+from*ncon, 1);
+
+ newcut -= (ed[higain]-id[higain]);
+ newbal = Compute2WayHLoadImbalance(ncon, npwgts, tpwgts);
+
+ if ((newcut < mincut && newbal-origbal <= .00001) ||
+ (newcut == mincut && (newbal < minbal ||
+ (newbal == minbal && BetterBalance(ncon, npwgts, tpwgts, mindiff))))) {
+ mincut = newcut;
+ minbal = newbal;
+ mincutorder = nswaps;
+ for (i=0; i<ncon; i++)
+ mindiff[i] = fabs(tpwgts[0]-npwgts[i]);
+ }
+ else if (nswaps-mincutorder > limit) { /* We hit the limit, undo last move */
+ newcut += (ed[higain]-id[higain]);
+ saxpy(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+from*ncon, 1);
+ saxpy(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1);
+ break;
+ }
+
+ where[higain] = to;
+ moved[higain] = nswaps;
+ swaps[nswaps] = higain;
+
+ if (ctrl->dbglvl&DBG_MOVEINFO) {
+ printf("Moved %6d from %d(%d). Gain: %5d, Cut: %5d, NPwgts: ", higain, from, cnum, ed[higain]-id[higain], newcut);
+ for (l=0; l<ncon; l++)
+ printf("(%.3f, %.3f) ", npwgts[l], npwgts[ncon+l]);
+ printf(", %.3f LB: %.3f\n", minbal, newbal);
+ }
+
+
+ /**************************************************************
+ * Update the id[i]/ed[i] values of the affected nodes
+ ***************************************************************/
+ SWAP(id[higain], ed[higain], tmp);
+ if (ed[higain] == 0 && xadj[higain] < xadj[higain+1])
+ BNDDelete(nbnd, bndind, bndptr, higain);
+
+ for (j=xadj[higain]; j<xadj[higain+1]; j++) {
+ k = adjncy[j];
+ oldgain = ed[k]-id[k];
+
+ kwgt = (to == where[k] ? adjwgt[j] : -adjwgt[j]);
+ INC_DEC(id[k], ed[k], kwgt);
+
+ /* Update its boundary information and queue position */
+ if (bndptr[k] != -1) { /* If k was a boundary vertex */
+ if (ed[k] == 0) { /* Not a boundary vertex any more */
+ BNDDelete(nbnd, bndind, bndptr, k);
+ if (moved[k] == -1) /* Remove it if in the queues */
+ PQueueDelete(&parts[qnum[k]][where[k]], k, oldgain);
+ }
+ else { /* If it has not been moved, update its position in the queue */
+ if (moved[k] == -1)
+ PQueueUpdate(&parts[qnum[k]][where[k]], k, oldgain, ed[k]-id[k]);
+ }
+ }
+ else {
+ if (ed[k] > 0) { /* It will now become a boundary vertex */
+ BNDInsert(nbnd, bndind, bndptr, k);
+ if (moved[k] == -1)
+ PQueueInsert(&parts[qnum[k]][where[k]], k, ed[k]-id[k]);
+ }
+ }
+ }
+
+ }
+
+
+ /****************************************************************
+ * Roll back computations
+ *****************************************************************/
+ for (i=0; i<nswaps; i++)
+ moved[swaps[i]] = -1; /* reset moved array */
+ for (nswaps--; nswaps>mincutorder; nswaps--) {
+ higain = swaps[nswaps];
+
+ to = where[higain] = (where[higain]+1)%2;
+ SWAP(id[higain], ed[higain], tmp);
+ if (ed[higain] == 0 && bndptr[higain] != -1 && xadj[higain] < xadj[higain+1])
+ BNDDelete(nbnd, bndind, bndptr, higain);
+ else if (ed[higain] > 0 && bndptr[higain] == -1)
+ BNDInsert(nbnd, bndind, bndptr, higain);
+
+ saxpy(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1);
+ saxpy(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+((to+1)%2)*ncon, 1);
+ for (j=xadj[higain]; j<xadj[higain+1]; j++) {
+ k = adjncy[j];
+
+ kwgt = (to == where[k] ? adjwgt[j] : -adjwgt[j]);
+ INC_DEC(id[k], ed[k], kwgt);
+
+ if (bndptr[k] != -1 && ed[k] == 0)
+ BNDDelete(nbnd, bndind, bndptr, k);
+ if (bndptr[k] == -1 && ed[k] > 0)
+ BNDInsert(nbnd, bndind, bndptr, k);
+ }
+ }
+
+ if (ctrl->dbglvl&DBG_REFINE) {
+ printf("\tMincut: %6d at %5d, NBND: %6d, NPwgts: [", mincut, mincutorder, nbnd);
+ for (l=0; l<ncon; l++)
+ printf("(%.3f, %.3f) ", npwgts[l], npwgts[ncon+l]);
+ printf("], LB: %.3f\n", Compute2WayHLoadImbalance(ncon, npwgts, tpwgts));
+ }
+
+ graph->mincut = mincut;
+ graph->nbnd = nbnd;
+
+ if (mincutorder == -1 || mincut == initcut)
+ break;
+ }
+
+ for (i=0; i<ncon; i++) {
+ PQueueFree(ctrl, &parts[i][0]);
+ PQueueFree(ctrl, &parts[i][1]);
+ }
+
+ idxwspacefree(ctrl, nvtxs);
+ idxwspacefree(ctrl, nvtxs);
+ idxwspacefree(ctrl, nvtxs);
+ idxwspacefree(ctrl, nvtxs);
+
+}
+
+
+/*************************************************************************
+* This function selects the partition number and the queue from which
+* we will move vertices out
+**************************************************************************/
+void SelectQueue(int ncon, float *npwgts, float *tpwgts, int *from, int *cnum, PQueueType queues[MAXNCON][2])
+{
+ int i, part, maxgain=0;
+ float max, maxdiff=0.0;
+
+ *from = -1;
+ *cnum = -1;
+
+ /* First determine the side and the queue, irrespective of the presence of nodes */
+ for (part=0; part<2; part++) {
+ for (i=0; i<ncon; i++) {
+ if (npwgts[part*ncon+i]-tpwgts[part] >= maxdiff) {
+ maxdiff = npwgts[part*ncon+i]-tpwgts[part];
+ *from = part;
+ *cnum = i;
+ }
+ }
+ }
+
+ /* printf("Selected %d(%d) -> %d\n", *from, *cnum, PQueueGetSize(&queues[*cnum][*from])); */
+
+ if (*from != -1 && PQueueGetSize(&queues[*cnum][*from]) == 0) {
+ /* The desired queue is empty, select a node from that side anyway */
+ for (i=0; i<ncon; i++) {
+ if (PQueueGetSize(&queues[i][*from]) > 0) {
+ max = npwgts[(*from)*ncon + i];
+ *cnum = i;
+ break;
+ }
+ }
+
+ for (i++; i<ncon; i++) {
+ if (npwgts[(*from)*ncon + i] > max && PQueueGetSize(&queues[i][*from]) > 0) {
+ max = npwgts[(*from)*ncon + i];
+ *cnum = i;
+ }
+ }
+ }
+
+ /* Check to see if you can focus on the cut */
+ if (maxdiff <= 0.0 || *from == -1) {
+ maxgain = -100000;
+
+ for (part=0; part<2; part++) {
+ for (i=0; i<ncon; i++) {
+ if (PQueueGetSize(&queues[i][part]) > 0 && PQueueGetKey(&queues[i][part]) > maxgain) {
+ maxgain = PQueueGetKey(&queues[i][part]);
+ *from = part;
+ *cnum = i;
+ }
+ }
+ }
+ }
+}
+
+
+
+
+
+/*************************************************************************
+* This function checks if the balance achieved is better than the diff
+* For now, it uses a 2-norm measure
+**************************************************************************/
+int BetterBalance(int ncon, float *npwgts, float *tpwgts, float *diff)
+{
+ int i;
+ float ndiff[MAXNCON];
+
+ for (i=0; i<ncon; i++)
+ ndiff[i] = fabs(tpwgts[0]-npwgts[i]);
+
+ return snorm2(ncon, ndiff) < snorm2(ncon, diff);
+}
+
+
+
+/*************************************************************************
+* This function computes the load imbalance over all the constrains
+**************************************************************************/
+float Compute2WayHLoadImbalance(int ncon, float *npwgts, float *tpwgts)
+{
+ int i;
+ float max=0.0, temp;
+
+ for (i=0; i<ncon; i++) {
+ /* temp = amax(npwgts[i]/tpwgts[0], npwgts[ncon+i]/tpwgts[1]); */
+ temp = fabs(tpwgts[0]-npwgts[i])/tpwgts[0];
+ max = (max < temp ? temp : max);
+ }
+ return 1.0+max;
+}
+
+
+/*************************************************************************
+* This function computes the load imbalance over all the constrains
+* For now assume that we just want balanced partitionings
+**************************************************************************/
+void Compute2WayHLoadImbalanceVec(int ncon, float *npwgts, float *tpwgts, float *lbvec)
+{
+ int i;
+
+ for (i=0; i<ncon; i++)
+ lbvec[i] = 1.0 + fabs(tpwgts[0]-npwgts[i])/tpwgts[0];
+}
+