diff options
Diffstat (limited to 'benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/balance.c')
| -rw-r--r-- | benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/balance.c | 278 |
1 files changed, 278 insertions, 0 deletions
diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/balance.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/balance.c new file mode 100644 index 0000000..ac951da --- /dev/null +++ b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/balance.c @@ -0,0 +1,278 @@ +/* + * Copyright 1997, Regents of the University of Minnesota + * + * balance.c + * + * This file contains code that is used to forcefully balance either + * bisections or k-sections + * + * Started 7/29/97 + * George + * + * $Id: balance.c,v 1.1 2003/07/16 15:54:58 karypis Exp $ + * + */ + +#include <metis.h> + +/************************************************************************* +* This function is the entry point of the bisection balancing algorithms. +**************************************************************************/ +void Balance2Way(CtrlType *ctrl, GraphType *graph, int *tpwgts, float ubfactor) +{ + int i, j, nvtxs, from, imax, gain, mindiff; + idxtype *id, *ed; + + /* Return right away if the balance is OK */ + mindiff = abs(tpwgts[0]-graph->pwgts[0]); + if (mindiff < 3*(graph->pwgts[0]+graph->pwgts[1])/graph->nvtxs) + return; + if (graph->pwgts[0] > tpwgts[0] && graph->pwgts[0] < (int)(ubfactor*tpwgts[0])) + return; + if (graph->pwgts[1] > tpwgts[1] && graph->pwgts[1] < (int)(ubfactor*tpwgts[1])) + return; + + if (graph->nbnd > 0) + Bnd2WayBalance(ctrl, graph, tpwgts); + else + General2WayBalance(ctrl, graph, tpwgts); + +} + + + +/************************************************************************* +* This function balances two partitions by moving boundary nodes +* from the domain that is overweight to the one that is underweight. +**************************************************************************/ +void Bnd2WayBalance(CtrlType *ctrl, GraphType *graph, int *tpwgts) +{ + int i, ii, j, k, kwgt, nvtxs, nbnd, nswaps, from, to, pass, me, tmp; + idxtype *xadj, *vwgt, *adjncy, *adjwgt, *where, *id, *ed, *bndptr, *bndind, *pwgts; + idxtype *moved, *perm; + PQueueType parts; + int higain, oldgain, mincut, mindiff; + + nvtxs = graph->nvtxs; + xadj = graph->xadj; + vwgt = graph->vwgt; + adjncy = graph->adjncy; + adjwgt = graph->adjwgt; + where = graph->where; + id = graph->id; + ed = graph->ed; + pwgts = graph->pwgts; + bndptr = graph->bndptr; + bndind = graph->bndind; + + moved = idxwspacemalloc(ctrl, nvtxs); + perm = idxwspacemalloc(ctrl, nvtxs); + + /* Determine from which domain you will be moving data */ + mindiff = abs(tpwgts[0]-pwgts[0]); + from = (pwgts[0] < tpwgts[0] ? 1 : 0); + to = (from+1)%2; + + IFSET(ctrl->dbglvl, DBG_REFINE, + printf("Partitions: [%6d %6d] T[%6d %6d], Nv-Nb[%6d %6d]. ICut: %6d [B]\n", + pwgts[0], pwgts[1], tpwgts[0], tpwgts[1], graph->nvtxs, graph->nbnd, graph->mincut)); + + tmp = graph->adjwgtsum[idxamax(nvtxs, graph->adjwgtsum)]; + PQueueInit(ctrl, &parts, nvtxs, tmp); + + idxset(nvtxs, -1, moved); + + ASSERT(ComputeCut(graph, where) == graph->mincut); + ASSERT(CheckBnd(graph)); + + /* Insert the boundary nodes of the proper partition whose size is OK in the priority queue */ + nbnd = graph->nbnd; + RandomPermute(nbnd, perm, 1); + for (ii=0; ii<nbnd; ii++) { + i = perm[ii]; + ASSERT(ed[bndind[i]] > 0 || id[bndind[i]] == 0); + ASSERT(bndptr[bndind[i]] != -1); + if (where[bndind[i]] == from && vwgt[bndind[i]] <= mindiff) + PQueueInsert(&parts, bndind[i], ed[bndind[i]]-id[bndind[i]]); + } + + mincut = graph->mincut; + for (nswaps=0; nswaps<nvtxs; nswaps++) { + if ((higain = PQueueGetMax(&parts)) == -1) + break; + ASSERT(bndptr[higain] != -1); + + if (pwgts[to]+vwgt[higain] > tpwgts[to]) + break; + + mincut -= (ed[higain]-id[higain]); + INC_DEC(pwgts[to], pwgts[from], vwgt[higain]); + + where[higain] = to; + moved[higain] = nswaps; + + IFSET(ctrl->dbglvl, DBG_MOVEINFO, + printf("Moved %6d from %d. [%3d %3d] %5d [%4d %4d]\n", higain, from, ed[higain]-id[higain], vwgt[higain], mincut, pwgts[0], pwgts[1])); + + /************************************************************** + * 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 && where[k] == from && vwgt[k] <= mindiff) /* Remove it if in the queues */ + PQueueDelete(&parts, k, oldgain); + } + else { /* If it has not been moved, update its position in the queue */ + if (moved[k] == -1 && where[k] == from && vwgt[k] <= mindiff) + PQueueUpdate(&parts, 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 && where[k] == from && vwgt[k] <= mindiff) + PQueueInsert(&parts, k, ed[k]-id[k]); + } + } + } + } + + IFSET(ctrl->dbglvl, DBG_REFINE, + printf("\tMinimum cut: %6d, PWGTS: [%6d %6d], NBND: %6d\n", mincut, pwgts[0], pwgts[1], nbnd)); + + graph->mincut = mincut; + graph->nbnd = nbnd; + + PQueueFree(ctrl, &parts); + + idxwspacefree(ctrl, nvtxs); + idxwspacefree(ctrl, nvtxs); +} + + +/************************************************************************* +* This function balances two partitions by moving the highest gain +* (including negative gain) vertices to the other domain. +* It is used only when tha unbalance is due to non contigous +* subdomains. That is, the are no boundary vertices. +* It moves vertices from the domain that is overweight to the one that +* is underweight. +**************************************************************************/ +void General2WayBalance(CtrlType *ctrl, GraphType *graph, int *tpwgts) +{ + int i, ii, j, k, kwgt, nvtxs, nbnd, nswaps, from, to, pass, me, tmp; + idxtype *xadj, *vwgt, *adjncy, *adjwgt, *where, *id, *ed, *bndptr, *bndind, *pwgts; + idxtype *moved, *perm; + PQueueType parts; + int higain, oldgain, mincut, mindiff; + + nvtxs = graph->nvtxs; + xadj = graph->xadj; + vwgt = graph->vwgt; + adjncy = graph->adjncy; + adjwgt = graph->adjwgt; + where = graph->where; + id = graph->id; + ed = graph->ed; + pwgts = graph->pwgts; + bndptr = graph->bndptr; + bndind = graph->bndind; + + moved = idxwspacemalloc(ctrl, nvtxs); + perm = idxwspacemalloc(ctrl, nvtxs); + + /* Determine from which domain you will be moving data */ + mindiff = abs(tpwgts[0]-pwgts[0]); + from = (pwgts[0] < tpwgts[0] ? 1 : 0); + to = (from+1)%2; + + IFSET(ctrl->dbglvl, DBG_REFINE, + printf("Partitions: [%6d %6d] T[%6d %6d], Nv-Nb[%6d %6d]. ICut: %6d [B]\n", + pwgts[0], pwgts[1], tpwgts[0], tpwgts[1], graph->nvtxs, graph->nbnd, graph->mincut)); + + tmp = graph->adjwgtsum[idxamax(nvtxs, graph->adjwgtsum)]; + PQueueInit(ctrl, &parts, nvtxs, tmp); + + idxset(nvtxs, -1, moved); + + ASSERT(ComputeCut(graph, where) == graph->mincut); + ASSERT(CheckBnd(graph)); + + /* Insert the nodes of the proper partition whose size is OK in the priority queue */ + RandomPermute(nvtxs, perm, 1); + for (ii=0; ii<nvtxs; ii++) { + i = perm[ii]; + if (where[i] == from && vwgt[i] <= mindiff) + PQueueInsert(&parts, i, ed[i]-id[i]); + } + + mincut = graph->mincut; + nbnd = graph->nbnd; + for (nswaps=0; nswaps<nvtxs; nswaps++) { + if ((higain = PQueueGetMax(&parts)) == -1) + break; + + if (pwgts[to]+vwgt[higain] > tpwgts[to]) + break; + + mincut -= (ed[higain]-id[higain]); + INC_DEC(pwgts[to], pwgts[from], vwgt[higain]); + + where[higain] = to; + moved[higain] = nswaps; + + IFSET(ctrl->dbglvl, DBG_MOVEINFO, + printf("Moved %6d from %d. [%3d %3d] %5d [%4d %4d]\n", higain, from, ed[higain]-id[higain], vwgt[higain], mincut, pwgts[0], pwgts[1])); + + /************************************************************** + * Update the id[i]/ed[i] values of the affected nodes + ***************************************************************/ + SWAP(id[higain], ed[higain], tmp); + if (ed[higain] == 0 && bndptr[higain] != -1 && xadj[higain] < xadj[higain+1]) + BNDDelete(nbnd, bndind, bndptr, higain); + if (ed[higain] > 0 && bndptr[higain] == -1) + BNDInsert(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 the queue position */ + if (moved[k] == -1 && where[k] == from && vwgt[k] <= mindiff) + PQueueUpdate(&parts, k, oldgain, ed[k]-id[k]); + + /* Update its boundary information */ + if (ed[k] == 0 && bndptr[k] != -1) + BNDDelete(nbnd, bndind, bndptr, k); + else if (ed[k] > 0 && bndptr[k] == -1) + BNDInsert(nbnd, bndind, bndptr, k); + } + } + + IFSET(ctrl->dbglvl, DBG_REFINE, + printf("\tMinimum cut: %6d, PWGTS: [%6d %6d], NBND: %6d\n", mincut, pwgts[0], pwgts[1], nbnd)); + + graph->mincut = mincut; + graph->nbnd = nbnd; + + PQueueFree(ctrl, &parts); + + idxwspacefree(ctrl, nvtxs); + idxwspacefree(ctrl, nvtxs); +} |
