[2051] | 1 | /* |
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| 2 | * kwayfm.c |
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| 3 | * |
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| 4 | * This file contains code that implements the multilevel k-way refinement |
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| 5 | * |
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| 6 | * Started 7/28/97 |
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| 7 | * George |
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| 8 | * |
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| 9 | * $Id: kwayfm.c,v 1.1 1998/11/27 17:59:16 karypis Exp $ |
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| 10 | * |
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| 11 | */ |
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| 12 | |
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| 13 | #include <metis.h> |
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| 14 | |
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| 15 | |
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| 16 | /************************************************************************* |
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| 17 | * This function performs k-way refinement |
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| 18 | **************************************************************************/ |
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| 19 | void Random_KWayEdgeRefine(CtrlType *ctrl, GraphType *graph, int nparts, float *tpwgts, float ubfactor, int npasses, int ffactor) |
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| 20 | { |
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| 21 | int i, ii, iii, j, jj, k, l, pass, nvtxs, nmoves, nbnd, tvwgt, myndegrees; |
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| 22 | int from, me, to, oldcut, vwgt, gain; |
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| 23 | idxtype *xadj, *adjncy, *adjwgt; |
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| 24 | idxtype *where, *pwgts, *perm, *bndptr, *bndind, *minwgt, *maxwgt, *itpwgts; |
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| 25 | EDegreeType *myedegrees; |
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| 26 | RInfoType *myrinfo; |
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| 27 | |
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| 28 | nvtxs = graph->nvtxs; |
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| 29 | xadj = graph->xadj; |
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| 30 | adjncy = graph->adjncy; |
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| 31 | adjwgt = graph->adjwgt; |
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| 32 | |
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| 33 | bndptr = graph->bndptr; |
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| 34 | bndind = graph->bndind; |
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| 35 | |
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| 36 | where = graph->where; |
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| 37 | pwgts = graph->pwgts; |
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| 38 | |
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| 39 | /* Setup the weight intervals of the various subdomains */ |
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| 40 | minwgt = idxwspacemalloc(ctrl, nparts); |
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| 41 | maxwgt = idxwspacemalloc(ctrl, nparts); |
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| 42 | itpwgts = idxwspacemalloc(ctrl, nparts); |
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| 43 | tvwgt = idxsum(nparts, pwgts); |
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| 44 | ASSERT(tvwgt == idxsum(nvtxs, graph->vwgt)); |
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| 45 | |
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| 46 | for (i=0; i<nparts; i++) { |
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| 47 | itpwgts[i] = tpwgts[i]*tvwgt; |
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| 48 | maxwgt[i] = tpwgts[i]*tvwgt*ubfactor; |
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| 49 | minwgt[i] = tpwgts[i]*tvwgt*(1.0/ubfactor); |
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| 50 | } |
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| 51 | |
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| 52 | perm = idxwspacemalloc(ctrl, nvtxs); |
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| 53 | |
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| 54 | IFSET(ctrl->dbglvl, DBG_REFINE, |
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| 55 | printf("Partitions: [%6d %6d]-[%6d %6d], Balance: %5.3f, Nv-Nb[%6d %6d]. Cut: %6d\n", |
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| 56 | pwgts[idxamin(nparts, pwgts)], pwgts[idxamax(nparts, pwgts)], minwgt[0], maxwgt[0], |
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| 57 | 1.0*nparts*pwgts[idxamax(nparts, pwgts)]/tvwgt, graph->nvtxs, graph->nbnd, |
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| 58 | graph->mincut)); |
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| 59 | |
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| 60 | for (pass=0; pass<npasses; pass++) { |
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| 61 | ASSERT(ComputeCut(graph, where) == graph->mincut); |
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| 62 | |
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| 63 | oldcut = graph->mincut; |
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| 64 | nbnd = graph->nbnd; |
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| 65 | |
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| 66 | RandomPermute(nbnd, perm, 1); |
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| 67 | for (nmoves=iii=0; iii<graph->nbnd; iii++) { |
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| 68 | ii = perm[iii]; |
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| 69 | if (ii >= nbnd) |
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| 70 | continue; |
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| 71 | i = bndind[ii]; |
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| 72 | |
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| 73 | myrinfo = graph->rinfo+i; |
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| 74 | |
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| 75 | if (myrinfo->ed >= myrinfo->id) { /* Total ED is too high */ |
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| 76 | from = where[i]; |
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| 77 | vwgt = graph->vwgt[i]; |
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| 78 | |
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| 79 | if (myrinfo->id > 0 && pwgts[from]-vwgt < minwgt[from]) |
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| 80 | continue; /* This cannot be moved! */ |
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| 81 | |
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| 82 | myedegrees = myrinfo->edegrees; |
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| 83 | myndegrees = myrinfo->ndegrees; |
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| 84 | |
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| 85 | j = myrinfo->id; |
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| 86 | for (k=0; k<myndegrees; k++) { |
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| 87 | to = myedegrees[k].pid; |
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| 88 | gain = myedegrees[k].ed-j; /* j = myrinfo->id. Allow good nodes to move */ |
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| 89 | if (pwgts[to]+vwgt <= maxwgt[to]+ffactor*gain && gain >= 0) |
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| 90 | break; |
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| 91 | } |
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| 92 | if (k == myndegrees) |
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| 93 | continue; /* break out if you did not find a candidate */ |
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| 94 | |
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| 95 | for (j=k+1; j<myndegrees; j++) { |
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| 96 | to = myedegrees[j].pid; |
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| 97 | if ((myedegrees[j].ed > myedegrees[k].ed && pwgts[to]+vwgt <= maxwgt[to]) || |
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| 98 | (myedegrees[j].ed == myedegrees[k].ed && |
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| 99 | itpwgts[myedegrees[k].pid]*pwgts[to] < itpwgts[to]*pwgts[myedegrees[k].pid])) |
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| 100 | k = j; |
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| 101 | } |
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| 102 | |
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| 103 | to = myedegrees[k].pid; |
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| 104 | |
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| 105 | j = 0; |
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| 106 | if (myedegrees[k].ed-myrinfo->id > 0) |
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| 107 | j = 1; |
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| 108 | else if (myedegrees[k].ed-myrinfo->id == 0) { |
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| 109 | if ((iii&7) == 0 || pwgts[from] >= maxwgt[from] || itpwgts[from]*(pwgts[to]+vwgt) < itpwgts[to]*pwgts[from]) |
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| 110 | j = 1; |
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| 111 | } |
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| 112 | if (j == 0) |
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| 113 | continue; |
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| 114 | |
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| 115 | /*===================================================================== |
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| 116 | * If we got here, we can now move the vertex from 'from' to 'to' |
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| 117 | *======================================================================*/ |
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| 118 | graph->mincut -= myedegrees[k].ed-myrinfo->id; |
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| 119 | |
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| 120 | IFSET(ctrl->dbglvl, DBG_MOVEINFO, printf("\t\tMoving %6d to %3d. Gain: %4d. Cut: %6d\n", i, to, myedegrees[k].ed-myrinfo->id, graph->mincut)); |
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| 121 | |
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| 122 | /* Update where, weight, and ID/ED information of the vertex you moved */ |
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| 123 | where[i] = to; |
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| 124 | INC_DEC(pwgts[to], pwgts[from], vwgt); |
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| 125 | myrinfo->ed += myrinfo->id-myedegrees[k].ed; |
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| 126 | SWAP(myrinfo->id, myedegrees[k].ed, j); |
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| 127 | if (myedegrees[k].ed == 0) |
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| 128 | myedegrees[k] = myedegrees[--myrinfo->ndegrees]; |
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| 129 | else |
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| 130 | myedegrees[k].pid = from; |
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| 131 | |
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| 132 | if (myrinfo->ed-myrinfo->id < 0) |
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| 133 | BNDDelete(nbnd, bndind, bndptr, i); |
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| 134 | |
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| 135 | /* Update the degrees of adjacent vertices */ |
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| 136 | for (j=xadj[i]; j<xadj[i+1]; j++) { |
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| 137 | ii = adjncy[j]; |
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| 138 | me = where[ii]; |
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| 139 | |
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| 140 | myrinfo = graph->rinfo+ii; |
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| 141 | if (myrinfo->edegrees == NULL) { |
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| 142 | myrinfo->edegrees = ctrl->wspace.edegrees+ctrl->wspace.cdegree; |
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| 143 | ctrl->wspace.cdegree += xadj[ii+1]-xadj[ii]; |
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| 144 | } |
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| 145 | myedegrees = myrinfo->edegrees; |
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| 146 | |
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| 147 | ASSERT(CheckRInfo(myrinfo)); |
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| 148 | |
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| 149 | if (me == from) { |
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| 150 | INC_DEC(myrinfo->ed, myrinfo->id, adjwgt[j]); |
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| 151 | |
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| 152 | if (myrinfo->ed-myrinfo->id >= 0 && bndptr[ii] == -1) |
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| 153 | BNDInsert(nbnd, bndind, bndptr, ii); |
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| 154 | } |
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| 155 | else if (me == to) { |
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| 156 | INC_DEC(myrinfo->id, myrinfo->ed, adjwgt[j]); |
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| 157 | |
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| 158 | if (myrinfo->ed-myrinfo->id < 0 && bndptr[ii] != -1) |
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| 159 | BNDDelete(nbnd, bndind, bndptr, ii); |
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| 160 | } |
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| 161 | |
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| 162 | /* Remove contribution from the .ed of 'from' */ |
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| 163 | if (me != from) { |
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| 164 | for (k=0; k<myrinfo->ndegrees; k++) { |
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| 165 | if (myedegrees[k].pid == from) { |
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| 166 | if (myedegrees[k].ed == adjwgt[j]) |
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| 167 | myedegrees[k] = myedegrees[--myrinfo->ndegrees]; |
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| 168 | else |
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| 169 | myedegrees[k].ed -= adjwgt[j]; |
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| 170 | break; |
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| 171 | } |
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| 172 | } |
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| 173 | } |
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| 174 | |
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| 175 | /* Add contribution to the .ed of 'to' */ |
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| 176 | if (me != to) { |
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| 177 | for (k=0; k<myrinfo->ndegrees; k++) { |
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| 178 | if (myedegrees[k].pid == to) { |
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| 179 | myedegrees[k].ed += adjwgt[j]; |
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| 180 | break; |
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| 181 | } |
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| 182 | } |
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| 183 | if (k == myrinfo->ndegrees) { |
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| 184 | myedegrees[myrinfo->ndegrees].pid = to; |
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| 185 | myedegrees[myrinfo->ndegrees++].ed = adjwgt[j]; |
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| 186 | } |
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| 187 | } |
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| 188 | |
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| 189 | ASSERT(myrinfo->ndegrees <= xadj[ii+1]-xadj[ii]); |
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| 190 | ASSERT(CheckRInfo(myrinfo)); |
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| 191 | |
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| 192 | } |
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| 193 | nmoves++; |
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| 194 | } |
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| 195 | } |
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| 196 | |
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| 197 | graph->nbnd = nbnd; |
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| 198 | |
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| 199 | IFSET(ctrl->dbglvl, DBG_REFINE, |
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| 200 | printf("\t[%6d %6d], Balance: %5.3f, Nb: %6d. Nmoves: %5d, Cut: %6d, Vol: %6d\n", |
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| 201 | pwgts[idxamin(nparts, pwgts)], pwgts[idxamax(nparts, pwgts)], |
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| 202 | 1.0*nparts*pwgts[idxamax(nparts, pwgts)]/tvwgt, graph->nbnd, nmoves, graph->mincut, ComputeVolume(graph, where))); |
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| 203 | |
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| 204 | if (graph->mincut == oldcut) |
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| 205 | break; |
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| 206 | } |
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| 207 | |
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| 208 | idxwspacefree(ctrl, nparts); |
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| 209 | idxwspacefree(ctrl, nparts); |
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| 210 | idxwspacefree(ctrl, nparts); |
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| 211 | idxwspacefree(ctrl, nvtxs); |
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| 212 | } |
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| 213 | |
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| 214 | |
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| 215 | |
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| 216 | |
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| 217 | |
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| 218 | |
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| 219 | /************************************************************************* |
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| 220 | * This function performs k-way refinement |
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| 221 | **************************************************************************/ |
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| 222 | void Greedy_KWayEdgeRefine(CtrlType *ctrl, GraphType *graph, int nparts, float *tpwgts, float ubfactor, int npasses) |
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| 223 | { |
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| 224 | int i, ii, iii, j, jj, k, l, pass, nvtxs, nbnd, tvwgt, myndegrees, oldgain, gain; |
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| 225 | int from, me, to, oldcut, vwgt; |
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| 226 | idxtype *xadj, *adjncy, *adjwgt; |
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| 227 | idxtype *where, *pwgts, *perm, *bndptr, *bndind, *minwgt, *maxwgt, *moved, *itpwgts; |
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| 228 | EDegreeType *myedegrees; |
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| 229 | RInfoType *myrinfo; |
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| 230 | PQueueType queue; |
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| 231 | |
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| 232 | nvtxs = graph->nvtxs; |
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| 233 | xadj = graph->xadj; |
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| 234 | adjncy = graph->adjncy; |
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| 235 | adjwgt = graph->adjwgt; |
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| 236 | |
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| 237 | bndind = graph->bndind; |
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| 238 | bndptr = graph->bndptr; |
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| 239 | |
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| 240 | where = graph->where; |
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| 241 | pwgts = graph->pwgts; |
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| 242 | |
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| 243 | /* Setup the weight intervals of the various subdomains */ |
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| 244 | minwgt = idxwspacemalloc(ctrl, nparts); |
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| 245 | maxwgt = idxwspacemalloc(ctrl, nparts); |
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| 246 | itpwgts = idxwspacemalloc(ctrl, nparts); |
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| 247 | tvwgt = idxsum(nparts, pwgts); |
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| 248 | ASSERT(tvwgt == idxsum(nvtxs, graph->vwgt)); |
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| 249 | |
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| 250 | for (i=0; i<nparts; i++) { |
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| 251 | itpwgts[i] = tpwgts[i]*tvwgt; |
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| 252 | maxwgt[i] = tpwgts[i]*tvwgt*ubfactor; |
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| 253 | minwgt[i] = tpwgts[i]*tvwgt*(1.0/ubfactor); |
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| 254 | } |
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| 255 | |
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| 256 | perm = idxwspacemalloc(ctrl, nvtxs); |
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| 257 | moved = idxwspacemalloc(ctrl, nvtxs); |
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| 258 | |
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| 259 | PQueueInit(ctrl, &queue, nvtxs, graph->adjwgtsum[idxamax(nvtxs, graph->adjwgtsum)]); |
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| 260 | |
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| 261 | IFSET(ctrl->dbglvl, DBG_REFINE, |
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| 262 | printf("Partitions: [%6d %6d]-[%6d %6d], Balance: %5.3f, Nv-Nb[%6d %6d]. Cut: %6d\n", |
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| 263 | pwgts[idxamin(nparts, pwgts)], pwgts[idxamax(nparts, pwgts)], minwgt[0], maxwgt[0], |
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| 264 | 1.0*nparts*pwgts[idxamax(nparts, pwgts)]/tvwgt, graph->nvtxs, graph->nbnd, |
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| 265 | graph->mincut)); |
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| 266 | |
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| 267 | for (pass=0; pass<npasses; pass++) { |
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| 268 | ASSERT(ComputeCut(graph, where) == graph->mincut); |
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| 269 | |
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| 270 | PQueueReset(&queue); |
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| 271 | idxset(nvtxs, -1, moved); |
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| 272 | |
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| 273 | oldcut = graph->mincut; |
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| 274 | nbnd = graph->nbnd; |
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| 275 | |
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| 276 | RandomPermute(nbnd, perm, 1); |
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| 277 | for (ii=0; ii<nbnd; ii++) { |
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| 278 | i = bndind[perm[ii]]; |
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| 279 | PQueueInsert(&queue, i, graph->rinfo[i].ed - graph->rinfo[i].id); |
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| 280 | moved[i] = 2; |
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| 281 | } |
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| 282 | |
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| 283 | for (iii=0;;iii++) { |
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| 284 | if ((i = PQueueGetMax(&queue)) == -1) |
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| 285 | break; |
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| 286 | moved[i] = 1; |
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| 287 | |
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| 288 | myrinfo = graph->rinfo+i; |
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| 289 | from = where[i]; |
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| 290 | vwgt = graph->vwgt[i]; |
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| 291 | |
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| 292 | if (pwgts[from]-vwgt < minwgt[from]) |
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| 293 | continue; /* This cannot be moved! */ |
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| 294 | |
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| 295 | myedegrees = myrinfo->edegrees; |
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| 296 | myndegrees = myrinfo->ndegrees; |
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| 297 | |
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| 298 | j = myrinfo->id; |
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| 299 | for (k=0; k<myndegrees; k++) { |
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| 300 | to = myedegrees[k].pid; |
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| 301 | gain = myedegrees[k].ed-j; /* j = myrinfo->id. Allow good nodes to move */ |
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| 302 | if (pwgts[to]+vwgt <= maxwgt[to]+gain && gain >= 0) |
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| 303 | break; |
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| 304 | } |
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| 305 | if (k == myndegrees) |
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| 306 | continue; /* break out if you did not find a candidate */ |
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| 307 | |
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| 308 | for (j=k+1; j<myndegrees; j++) { |
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| 309 | to = myedegrees[j].pid; |
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| 310 | if ((myedegrees[j].ed > myedegrees[k].ed && pwgts[to]+vwgt <= maxwgt[to]) || |
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| 311 | (myedegrees[j].ed == myedegrees[k].ed && |
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| 312 | itpwgts[myedegrees[k].pid]*pwgts[to] < itpwgts[to]*pwgts[myedegrees[k].pid])) |
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| 313 | k = j; |
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| 314 | } |
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| 315 | |
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| 316 | to = myedegrees[k].pid; |
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| 317 | |
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| 318 | j = 0; |
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| 319 | if (myedegrees[k].ed-myrinfo->id > 0) |
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| 320 | j = 1; |
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| 321 | else if (myedegrees[k].ed-myrinfo->id == 0) { |
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| 322 | if ((iii&7) == 0 || pwgts[from] >= maxwgt[from] || itpwgts[from]*(pwgts[to]+vwgt) < itpwgts[to]*pwgts[from]) |
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| 323 | j = 1; |
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| 324 | } |
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| 325 | if (j == 0) |
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| 326 | continue; |
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| 327 | |
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| 328 | /*===================================================================== |
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| 329 | * If we got here, we can now move the vertex from 'from' to 'to' |
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| 330 | *======================================================================*/ |
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| 331 | graph->mincut -= myedegrees[k].ed-myrinfo->id; |
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| 332 | |
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| 333 | IFSET(ctrl->dbglvl, DBG_MOVEINFO, printf("\t\tMoving %6d to %3d. Gain: %4d. Cut: %6d\n", i, to, myedegrees[k].ed-myrinfo->id, graph->mincut)); |
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| 334 | |
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| 335 | /* Update where, weight, and ID/ED information of the vertex you moved */ |
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| 336 | where[i] = to; |
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| 337 | INC_DEC(pwgts[to], pwgts[from], vwgt); |
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| 338 | myrinfo->ed += myrinfo->id-myedegrees[k].ed; |
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| 339 | SWAP(myrinfo->id, myedegrees[k].ed, j); |
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| 340 | if (myedegrees[k].ed == 0) |
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| 341 | myedegrees[k] = myedegrees[--myrinfo->ndegrees]; |
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| 342 | else |
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| 343 | myedegrees[k].pid = from; |
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| 344 | |
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| 345 | if (myrinfo->ed < myrinfo->id) |
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| 346 | BNDDelete(nbnd, bndind, bndptr, i); |
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| 347 | |
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| 348 | /* Update the degrees of adjacent vertices */ |
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| 349 | for (j=xadj[i]; j<xadj[i+1]; j++) { |
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| 350 | ii = adjncy[j]; |
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| 351 | me = where[ii]; |
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| 352 | |
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| 353 | myrinfo = graph->rinfo+ii; |
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| 354 | if (myrinfo->edegrees == NULL) { |
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| 355 | myrinfo->edegrees = ctrl->wspace.edegrees+ctrl->wspace.cdegree; |
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| 356 | ctrl->wspace.cdegree += xadj[ii+1]-xadj[ii]; |
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| 357 | } |
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| 358 | myedegrees = myrinfo->edegrees; |
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| 359 | |
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| 360 | ASSERT(CheckRInfo(myrinfo)); |
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| 361 | |
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| 362 | oldgain = (myrinfo->ed-myrinfo->id); |
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| 363 | |
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| 364 | if (me == from) { |
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| 365 | INC_DEC(myrinfo->ed, myrinfo->id, adjwgt[j]); |
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| 366 | |
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| 367 | if (myrinfo->ed-myrinfo->id >= 0 && bndptr[ii] == -1) |
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| 368 | BNDInsert(nbnd, bndind, bndptr, ii); |
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| 369 | } |
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| 370 | else if (me == to) { |
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| 371 | INC_DEC(myrinfo->id, myrinfo->ed, adjwgt[j]); |
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| 372 | |
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| 373 | if (myrinfo->ed-myrinfo->id < 0 && bndptr[ii] != -1) |
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| 374 | BNDDelete(nbnd, bndind, bndptr, ii); |
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| 375 | } |
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| 376 | |
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| 377 | /* Remove contribution from the .ed of 'from' */ |
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| 378 | if (me != from) { |
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| 379 | for (k=0; k<myrinfo->ndegrees; k++) { |
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| 380 | if (myedegrees[k].pid == from) { |
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| 381 | if (myedegrees[k].ed == adjwgt[j]) |
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| 382 | myedegrees[k] = myedegrees[--myrinfo->ndegrees]; |
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| 383 | else |
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| 384 | myedegrees[k].ed -= adjwgt[j]; |
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| 385 | break; |
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| 386 | } |
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| 387 | } |
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| 388 | } |
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| 389 | |
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| 390 | /* Add contribution to the .ed of 'to' */ |
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| 391 | if (me != to) { |
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| 392 | for (k=0; k<myrinfo->ndegrees; k++) { |
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| 393 | if (myedegrees[k].pid == to) { |
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| 394 | myedegrees[k].ed += adjwgt[j]; |
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| 395 | break; |
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| 396 | } |
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| 397 | } |
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| 398 | if (k == myrinfo->ndegrees) { |
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| 399 | myedegrees[myrinfo->ndegrees].pid = to; |
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| 400 | myedegrees[myrinfo->ndegrees++].ed = adjwgt[j]; |
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| 401 | } |
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| 402 | } |
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| 403 | |
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| 404 | /* Update the queue */ |
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| 405 | if (me == to || me == from) { |
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| 406 | gain = myrinfo->ed-myrinfo->id; |
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| 407 | if (moved[ii] == 2) { |
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| 408 | if (gain >= 0) |
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| 409 | PQueueUpdate(&queue, ii, oldgain, gain); |
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| 410 | else { |
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| 411 | PQueueDelete(&queue, ii, oldgain); |
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| 412 | moved[ii] = -1; |
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| 413 | } |
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| 414 | } |
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| 415 | else if (moved[ii] == -1 && gain >= 0) { |
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| 416 | PQueueInsert(&queue, ii, gain); |
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| 417 | moved[ii] = 2; |
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| 418 | } |
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| 419 | } |
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| 420 | |
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| 421 | ASSERT(myrinfo->ndegrees <= xadj[ii+1]-xadj[ii]); |
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| 422 | ASSERT(CheckRInfo(myrinfo)); |
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| 423 | |
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| 424 | } |
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| 425 | } |
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| 426 | |
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| 427 | graph->nbnd = nbnd; |
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| 428 | |
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| 429 | IFSET(ctrl->dbglvl, DBG_REFINE, |
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| 430 | printf("\t[%6d %6d], Balance: %5.3f, Nb: %6d. Cut: %6d\n", |
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| 431 | pwgts[idxamin(nparts, pwgts)], pwgts[idxamax(nparts, pwgts)], |
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| 432 | 1.0*nparts*pwgts[idxamax(nparts, pwgts)]/tvwgt, graph->nbnd, graph->mincut)); |
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| 433 | |
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| 434 | if (graph->mincut == oldcut) |
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| 435 | break; |
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| 436 | } |
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| 437 | |
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| 438 | PQueueFree(ctrl, &queue); |
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| 439 | |
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| 440 | idxwspacefree(ctrl, nparts); |
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| 441 | idxwspacefree(ctrl, nparts); |
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| 442 | idxwspacefree(ctrl, nparts); |
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| 443 | idxwspacefree(ctrl, nvtxs); |
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| 444 | idxwspacefree(ctrl, nvtxs); |
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| 445 | |
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| 446 | } |
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| 447 | |
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| 448 | |
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| 449 | /************************************************************************* |
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| 450 | * This function performs k-way refinement |
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| 451 | **************************************************************************/ |
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| 452 | void Greedy_KWayEdgeBalance(CtrlType *ctrl, GraphType *graph, int nparts, float *tpwgts, float ubfactor, int npasses) |
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| 453 | { |
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| 454 | int i, ii, iii, j, jj, k, l, pass, nvtxs, nbnd, tvwgt, myndegrees, oldgain, gain, nmoves; |
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| 455 | int from, me, to, oldcut, vwgt; |
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| 456 | idxtype *xadj, *adjncy, *adjwgt; |
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| 457 | idxtype *where, *pwgts, *perm, *bndptr, *bndind, *minwgt, *maxwgt, *moved, *itpwgts; |
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| 458 | EDegreeType *myedegrees; |
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| 459 | RInfoType *myrinfo; |
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| 460 | PQueueType queue; |
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| 461 | |
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| 462 | nvtxs = graph->nvtxs; |
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| 463 | xadj = graph->xadj; |
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| 464 | adjncy = graph->adjncy; |
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| 465 | adjwgt = graph->adjwgt; |
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| 466 | |
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| 467 | bndind = graph->bndind; |
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| 468 | bndptr = graph->bndptr; |
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| 469 | |
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| 470 | where = graph->where; |
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| 471 | pwgts = graph->pwgts; |
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| 472 | |
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| 473 | /* Setup the weight intervals of the various subdomains */ |
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| 474 | minwgt = idxwspacemalloc(ctrl, nparts); |
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| 475 | maxwgt = idxwspacemalloc(ctrl, nparts); |
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| 476 | itpwgts = idxwspacemalloc(ctrl, nparts); |
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| 477 | tvwgt = idxsum(nparts, pwgts); |
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| 478 | ASSERT(tvwgt == idxsum(nvtxs, graph->vwgt)); |
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| 479 | |
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| 480 | for (i=0; i<nparts; i++) { |
---|
| 481 | itpwgts[i] = tpwgts[i]*tvwgt; |
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| 482 | maxwgt[i] = tpwgts[i]*tvwgt*ubfactor; |
---|
| 483 | minwgt[i] = tpwgts[i]*tvwgt*(1.0/ubfactor); |
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| 484 | } |
---|
| 485 | |
---|
| 486 | perm = idxwspacemalloc(ctrl, nvtxs); |
---|
| 487 | moved = idxwspacemalloc(ctrl, nvtxs); |
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| 488 | |
---|
| 489 | PQueueInit(ctrl, &queue, nvtxs, graph->adjwgtsum[idxamax(nvtxs, graph->adjwgtsum)]); |
---|
| 490 | |
---|
| 491 | IFSET(ctrl->dbglvl, DBG_REFINE, |
---|
| 492 | printf("Partitions: [%6d %6d]-[%6d %6d], Balance: %5.3f, Nv-Nb[%6d %6d]. Cut: %6d [B]\n", |
---|
| 493 | pwgts[idxamin(nparts, pwgts)], pwgts[idxamax(nparts, pwgts)], minwgt[0], maxwgt[0], |
---|
| 494 | 1.0*nparts*pwgts[idxamax(nparts, pwgts)]/tvwgt, graph->nvtxs, graph->nbnd, |
---|
| 495 | graph->mincut)); |
---|
| 496 | |
---|
| 497 | for (pass=0; pass<npasses; pass++) { |
---|
| 498 | ASSERT(ComputeCut(graph, where) == graph->mincut); |
---|
| 499 | |
---|
| 500 | /* Check to see if things are out of balance, given the tolerance */ |
---|
| 501 | for (i=0; i<nparts; i++) { |
---|
| 502 | if (pwgts[i] > maxwgt[i]) |
---|
| 503 | break; |
---|
| 504 | } |
---|
| 505 | if (i == nparts) /* Things are balanced. Return right away */ |
---|
| 506 | break; |
---|
| 507 | |
---|
| 508 | PQueueReset(&queue); |
---|
| 509 | idxset(nvtxs, -1, moved); |
---|
| 510 | |
---|
| 511 | oldcut = graph->mincut; |
---|
| 512 | nbnd = graph->nbnd; |
---|
| 513 | |
---|
| 514 | RandomPermute(nbnd, perm, 1); |
---|
| 515 | for (ii=0; ii<nbnd; ii++) { |
---|
| 516 | i = bndind[perm[ii]]; |
---|
| 517 | PQueueInsert(&queue, i, graph->rinfo[i].ed - graph->rinfo[i].id); |
---|
| 518 | moved[i] = 2; |
---|
| 519 | } |
---|
| 520 | |
---|
| 521 | nmoves = 0; |
---|
| 522 | for (;;) { |
---|
| 523 | if ((i = PQueueGetMax(&queue)) == -1) |
---|
| 524 | break; |
---|
| 525 | moved[i] = 1; |
---|
| 526 | |
---|
| 527 | myrinfo = graph->rinfo+i; |
---|
| 528 | from = where[i]; |
---|
| 529 | vwgt = graph->vwgt[i]; |
---|
| 530 | |
---|
| 531 | if (pwgts[from]-vwgt < minwgt[from]) |
---|
| 532 | continue; /* This cannot be moved! */ |
---|
| 533 | |
---|
| 534 | myedegrees = myrinfo->edegrees; |
---|
| 535 | myndegrees = myrinfo->ndegrees; |
---|
| 536 | |
---|
| 537 | for (k=0; k<myndegrees; k++) { |
---|
| 538 | to = myedegrees[k].pid; |
---|
| 539 | if (pwgts[to]+vwgt <= maxwgt[to] || itpwgts[from]*(pwgts[to]+vwgt) <= itpwgts[to]*pwgts[from]) |
---|
| 540 | break; |
---|
| 541 | } |
---|
| 542 | if (k == myndegrees) |
---|
| 543 | continue; /* break out if you did not find a candidate */ |
---|
| 544 | |
---|
| 545 | for (j=k+1; j<myndegrees; j++) { |
---|
| 546 | to = myedegrees[j].pid; |
---|
| 547 | if (itpwgts[myedegrees[k].pid]*pwgts[to] < itpwgts[to]*pwgts[myedegrees[k].pid]) |
---|
| 548 | k = j; |
---|
| 549 | } |
---|
| 550 | |
---|
| 551 | to = myedegrees[k].pid; |
---|
| 552 | |
---|
| 553 | if (pwgts[from] < maxwgt[from] && pwgts[to] > minwgt[to] && myedegrees[k].ed-myrinfo->id < 0) |
---|
| 554 | continue; |
---|
| 555 | |
---|
| 556 | /*===================================================================== |
---|
| 557 | * If we got here, we can now move the vertex from 'from' to 'to' |
---|
| 558 | *======================================================================*/ |
---|
| 559 | graph->mincut -= myedegrees[k].ed-myrinfo->id; |
---|
| 560 | |
---|
| 561 | IFSET(ctrl->dbglvl, DBG_MOVEINFO, printf("\t\tMoving %6d to %3d. Gain: %4d. Cut: %6d\n", i, to, myedegrees[k].ed-myrinfo->id, graph->mincut)); |
---|
| 562 | |
---|
| 563 | /* Update where, weight, and ID/ED information of the vertex you moved */ |
---|
| 564 | where[i] = to; |
---|
| 565 | INC_DEC(pwgts[to], pwgts[from], vwgt); |
---|
| 566 | myrinfo->ed += myrinfo->id-myedegrees[k].ed; |
---|
| 567 | SWAP(myrinfo->id, myedegrees[k].ed, j); |
---|
| 568 | if (myedegrees[k].ed == 0) |
---|
| 569 | myedegrees[k] = myedegrees[--myrinfo->ndegrees]; |
---|
| 570 | else |
---|
| 571 | myedegrees[k].pid = from; |
---|
| 572 | |
---|
| 573 | if (myrinfo->ed == 0) |
---|
| 574 | BNDDelete(nbnd, bndind, bndptr, i); |
---|
| 575 | |
---|
| 576 | /* Update the degrees of adjacent vertices */ |
---|
| 577 | for (j=xadj[i]; j<xadj[i+1]; j++) { |
---|
| 578 | ii = adjncy[j]; |
---|
| 579 | me = where[ii]; |
---|
| 580 | |
---|
| 581 | myrinfo = graph->rinfo+ii; |
---|
| 582 | if (myrinfo->edegrees == NULL) { |
---|
| 583 | myrinfo->edegrees = ctrl->wspace.edegrees+ctrl->wspace.cdegree; |
---|
| 584 | ctrl->wspace.cdegree += xadj[ii+1]-xadj[ii]; |
---|
| 585 | } |
---|
| 586 | myedegrees = myrinfo->edegrees; |
---|
| 587 | |
---|
| 588 | ASSERT(CheckRInfo(myrinfo)); |
---|
| 589 | |
---|
| 590 | oldgain = (myrinfo->ed-myrinfo->id); |
---|
| 591 | |
---|
| 592 | if (me == from) { |
---|
| 593 | INC_DEC(myrinfo->ed, myrinfo->id, adjwgt[j]); |
---|
| 594 | |
---|
| 595 | if (myrinfo->ed > 0 && bndptr[ii] == -1) |
---|
| 596 | BNDInsert(nbnd, bndind, bndptr, ii); |
---|
| 597 | } |
---|
| 598 | else if (me == to) { |
---|
| 599 | INC_DEC(myrinfo->id, myrinfo->ed, adjwgt[j]); |
---|
| 600 | |
---|
| 601 | if (myrinfo->ed == 0 && bndptr[ii] != -1) |
---|
| 602 | BNDDelete(nbnd, bndind, bndptr, ii); |
---|
| 603 | } |
---|
| 604 | |
---|
| 605 | /* Remove contribution from the .ed of 'from' */ |
---|
| 606 | if (me != from) { |
---|
| 607 | for (k=0; k<myrinfo->ndegrees; k++) { |
---|
| 608 | if (myedegrees[k].pid == from) { |
---|
| 609 | if (myedegrees[k].ed == adjwgt[j]) |
---|
| 610 | myedegrees[k] = myedegrees[--myrinfo->ndegrees]; |
---|
| 611 | else |
---|
| 612 | myedegrees[k].ed -= adjwgt[j]; |
---|
| 613 | break; |
---|
| 614 | } |
---|
| 615 | } |
---|
| 616 | } |
---|
| 617 | |
---|
| 618 | /* Add contribution to the .ed of 'to' */ |
---|
| 619 | if (me != to) { |
---|
| 620 | for (k=0; k<myrinfo->ndegrees; k++) { |
---|
| 621 | if (myedegrees[k].pid == to) { |
---|
| 622 | myedegrees[k].ed += adjwgt[j]; |
---|
| 623 | break; |
---|
| 624 | } |
---|
| 625 | } |
---|
| 626 | if (k == myrinfo->ndegrees) { |
---|
| 627 | myedegrees[myrinfo->ndegrees].pid = to; |
---|
| 628 | myedegrees[myrinfo->ndegrees++].ed = adjwgt[j]; |
---|
| 629 | } |
---|
| 630 | } |
---|
| 631 | |
---|
| 632 | /* Update the queue */ |
---|
| 633 | if (me == to || me == from) { |
---|
| 634 | gain = myrinfo->ed-myrinfo->id; |
---|
| 635 | if (moved[ii] == 2) { |
---|
| 636 | if (myrinfo->ed > 0) |
---|
| 637 | PQueueUpdate(&queue, ii, oldgain, gain); |
---|
| 638 | else { |
---|
| 639 | PQueueDelete(&queue, ii, oldgain); |
---|
| 640 | moved[ii] = -1; |
---|
| 641 | } |
---|
| 642 | } |
---|
| 643 | else if (moved[ii] == -1 && myrinfo->ed > 0) { |
---|
| 644 | PQueueInsert(&queue, ii, gain); |
---|
| 645 | moved[ii] = 2; |
---|
| 646 | } |
---|
| 647 | } |
---|
| 648 | |
---|
| 649 | ASSERT(myrinfo->ndegrees <= xadj[ii+1]-xadj[ii]); |
---|
| 650 | ASSERT(CheckRInfo(myrinfo)); |
---|
| 651 | } |
---|
| 652 | nmoves++; |
---|
| 653 | } |
---|
| 654 | |
---|
| 655 | graph->nbnd = nbnd; |
---|
| 656 | |
---|
| 657 | IFSET(ctrl->dbglvl, DBG_REFINE, |
---|
| 658 | printf("\t[%6d %6d], Balance: %5.3f, Nb: %6d. Nmoves: %5d, Cut: %6d\n", |
---|
| 659 | pwgts[idxamin(nparts, pwgts)], pwgts[idxamax(nparts, pwgts)], |
---|
| 660 | 1.0*nparts*pwgts[idxamax(nparts, pwgts)]/tvwgt, graph->nbnd, nmoves, graph->mincut)); |
---|
| 661 | } |
---|
| 662 | |
---|
| 663 | PQueueFree(ctrl, &queue); |
---|
| 664 | |
---|
| 665 | idxwspacefree(ctrl, nparts); |
---|
| 666 | idxwspacefree(ctrl, nparts); |
---|
| 667 | idxwspacefree(ctrl, nparts); |
---|
| 668 | idxwspacefree(ctrl, nvtxs); |
---|
| 669 | idxwspacefree(ctrl, nvtxs); |
---|
| 670 | |
---|
| 671 | } |
---|
| 672 | |
---|