/************************************************************************* * This function is the entry point of the separator refinement **************************************************************************/ void Refine2WayNode(CtrlType *ctrl, GraphType *orggraph, GraphType *graph, float ubfactor) { IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->UncoarsenTmr)); for (;;) { IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->RefTmr)); if (ctrl->RType != 15) FM_2WayNodeBalance(ctrl, graph, ubfactor); switch (ctrl->RType) { case 1: FM_2WayNodeRefine(ctrl, graph, ubfactor, 8); break; case 2: FM_2WayNodeRefine_OneSided(ctrl, graph, ubfactor, 8); break; case 3: FM_2WayNodeRefine(ctrl, graph, ubfactor, 8); FM_2WayNodeRefine_OneSided(ctrl, graph, ubfactor, 8); break; case 4: FM_2WayNodeRefine_OneSided(ctrl, graph, ubfactor, 8); FM_2WayNodeRefine(ctrl, graph, ubfactor, 8); break; case 5: FM_2WayNodeRefineEqWgt(ctrl, graph, 8); break; } IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->RefTmr)); if (graph == orggraph) break; graph = graph->finer; IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->ProjectTmr)); Project2WayNodePartition(ctrl, graph); IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->ProjectTmr)); } IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->UncoarsenTmr)); }
/************************************************************************* * This function takes a bisection and constructs a minimum weight vertex * separator out of it. It uses an unweighted minimum-cover algorithm * followed by node-based separator refinement. **************************************************************************/ void ConstructMinCoverSeparator(CtrlType *ctrl, GraphType *graph, float ubfactor) { int i, ii, j, jj, k, l, nvtxs, nbnd, bnvtxs[3], bnedges[2], csize; idxtype *xadj, *adjncy, *bxadj, *badjncy; idxtype *where, *bndind, *bndptr, *vmap, *ivmap, *cover; nvtxs = graph->nvtxs; xadj = graph->xadj; adjncy = graph->adjncy; nbnd = graph->nbnd; bndind = graph->bndind; bndptr = graph->bndptr; where = graph->where; vmap = idxwspacemalloc(ctrl, nvtxs); ivmap = idxwspacemalloc(ctrl, nbnd); cover = idxwspacemalloc(ctrl, nbnd); if (nbnd > 0) { /* Go through the boundary and determine the sizes of the bipartite graph */ bnvtxs[0] = bnvtxs[1] = bnedges[0] = bnedges[1] = 0; for (i=0; i<nbnd; i++) { j = bndind[i]; k = where[j]; if (xadj[j+1]-xadj[j] > 0) { bnvtxs[k]++; bnedges[k] += xadj[j+1]-xadj[j]; } } bnvtxs[2] = bnvtxs[0]+bnvtxs[1]; bnvtxs[1] = bnvtxs[0]; bnvtxs[0] = 0; bxadj = idxmalloc(bnvtxs[2]+1, "ConstructMinCoverSeparator: bxadj"); badjncy = idxmalloc(bnedges[0]+bnedges[1]+1, "ConstructMinCoverSeparator: badjncy"); /* Construct the ivmap and vmap */ ASSERT(idxset(nvtxs, -1, vmap) == vmap); for (i=0; i<nbnd; i++) { j = bndind[i]; k = where[j]; if (xadj[j+1]-xadj[j] > 0) { vmap[j] = bnvtxs[k]; ivmap[bnvtxs[k]++] = j; } } /* OK, go through and put the vertices of each part starting from 0 */ bnvtxs[1] = bnvtxs[0]; bnvtxs[0] = 0; bxadj[0] = l = 0; for (k=0; k<2; k++) { for (ii=0; ii<nbnd; ii++) { i = bndind[ii]; if (where[i] == k && xadj[i] < xadj[i+1]) { for (j=xadj[i]; j<xadj[i+1]; j++) { jj = adjncy[j]; if (where[jj] != k) { ASSERT(bndptr[jj] != -1); ASSERTP(vmap[jj] != -1, ("%d %d %d\n", jj, vmap[jj], graph->bndptr[jj])); badjncy[l++] = vmap[jj]; } } bxadj[++bnvtxs[k]] = l; } } } ASSERT(l <= bnedges[0]+bnedges[1]); MinCover(bxadj, badjncy, bnvtxs[0], bnvtxs[1], cover, &csize); IFSET(ctrl->dbglvl, DBG_SEPINFO, printf("Nvtxs: %6d, [%5d %5d], Cut: %6d, SS: [%6d %6d], Cover: %6d\n", nvtxs, graph->pwgts[0], graph->pwgts[1], graph->mincut, bnvtxs[0], bnvtxs[1]-bnvtxs[0], csize)); for (i=0; i<csize; i++) { j = ivmap[cover[i]]; where[j] = 2; } GKfree(&bxadj, &badjncy, LTERM); } else { IFSET(ctrl->dbglvl, DBG_SEPINFO, printf("Nvtxs: %6d, [%5d %5d], Cut: %6d, SS: [%6d %6d], Cover: %6d\n", nvtxs, graph->pwgts[0], graph->pwgts[1], graph->mincut, 0, 0, 0)); } /* Prepare to refine the vertex separator */ idxcopy(nvtxs, graph->where, vmap); GKfree(&graph->rdata, LTERM); Allocate2WayNodePartitionMemory(ctrl, graph); idxcopy(nvtxs, vmap, graph->where); idxwspacefree(ctrl, nvtxs+2*graph->nbnd); Compute2WayNodePartitionParams(ctrl, graph); ASSERT(CheckNodePartitionParams(graph)); FM_2WayNodeRefine_OneSided(ctrl, graph, ubfactor, 6); ASSERT(IsSeparable(graph)); }