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++) { |
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481 | itpwgts[i] = tpwgts[i]*tvwgt; |
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482 | maxwgt[i] = tpwgts[i]*tvwgt*ubfactor; |
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483 | minwgt[i] = tpwgts[i]*tvwgt*(1.0/ubfactor); |
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484 | } |
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485 | |
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486 | perm = idxwspacemalloc(ctrl, nvtxs); |
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487 | moved = idxwspacemalloc(ctrl, nvtxs); |
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488 | |
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489 | PQueueInit(ctrl, &queue, nvtxs, graph->adjwgtsum[idxamax(nvtxs, graph->adjwgtsum)]); |
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490 | |
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491 | IFSET(ctrl->dbglvl, DBG_REFINE, |
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492 | printf("Partitions: [%6d %6d]-[%6d %6d], Balance: %5.3f, Nv-Nb[%6d %6d]. Cut: %6d [B]\n", |
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493 | pwgts[idxamin(nparts, pwgts)], pwgts[idxamax(nparts, pwgts)], minwgt[0], maxwgt[0], |
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494 | 1.0*nparts*pwgts[idxamax(nparts, pwgts)]/tvwgt, graph->nvtxs, graph->nbnd, |
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495 | graph->mincut)); |
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496 | |
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497 | for (pass=0; pass<npasses; pass++) { |
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498 | ASSERT(ComputeCut(graph, where) == graph->mincut); |
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499 | |
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500 | /* Check to see if things are out of balance, given the tolerance */ |
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501 | for (i=0; i<nparts; i++) { |
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502 | if (pwgts[i] > maxwgt[i]) |
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503 | break; |
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504 | } |
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505 | if (i == nparts) /* Things are balanced. Return right away */ |
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506 | break; |
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507 | |
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508 | PQueueReset(&queue); |
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509 | idxset(nvtxs, -1, moved); |
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510 | |
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511 | oldcut = graph->mincut; |
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512 | nbnd = graph->nbnd; |
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513 | |
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514 | RandomPermute(nbnd, perm, 1); |
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515 | for (ii=0; ii<nbnd; ii++) { |
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516 | i = bndind[perm[ii]]; |
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517 | PQueueInsert(&queue, i, graph->rinfo[i].ed - graph->rinfo[i].id); |
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518 | moved[i] = 2; |
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519 | } |
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520 | |
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521 | nmoves = 0; |
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522 | for (;;) { |
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523 | if ((i = PQueueGetMax(&queue)) == -1) |
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524 | break; |
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525 | moved[i] = 1; |
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526 | |
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527 | myrinfo = graph->rinfo+i; |
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528 | from = where[i]; |
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529 | vwgt = graph->vwgt[i]; |
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530 | |
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531 | if (pwgts[from]-vwgt < minwgt[from]) |
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532 | continue; /* This cannot be moved! */ |
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533 | |
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534 | myedegrees = myrinfo->edegrees; |
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535 | myndegrees = myrinfo->ndegrees; |
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536 | |
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537 | for (k=0; k<myndegrees; k++) { |
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538 | to = myedegrees[k].pid; |
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539 | if (pwgts[to]+vwgt <= maxwgt[to] || itpwgts[from]*(pwgts[to]+vwgt) <= itpwgts[to]*pwgts[from]) |
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540 | break; |
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541 | } |
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542 | if (k == myndegrees) |
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543 | continue; /* break out if you did not find a candidate */ |
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544 | |
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545 | for (j=k+1; j<myndegrees; j++) { |
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546 | to = myedegrees[j].pid; |
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547 | if (itpwgts[myedegrees[k].pid]*pwgts[to] < itpwgts[to]*pwgts[myedegrees[k].pid]) |
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548 | k = j; |
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549 | } |
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550 | |
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551 | to = myedegrees[k].pid; |
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552 | |
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553 | if (pwgts[from] < maxwgt[from] && pwgts[to] > minwgt[to] && myedegrees[k].ed-myrinfo->id < 0) |
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554 | continue; |
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555 | |
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556 | /*===================================================================== |
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557 | * If we got here, we can now move the vertex from 'from' to 'to' |
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558 | *======================================================================*/ |
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559 | graph->mincut -= myedegrees[k].ed-myrinfo->id; |
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560 | |
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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)); |
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562 | |
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563 | /* Update where, weight, and ID/ED information of the vertex you moved */ |
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564 | where[i] = to; |
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565 | INC_DEC(pwgts[to], pwgts[from], vwgt); |
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566 | myrinfo->ed += myrinfo->id-myedegrees[k].ed; |
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567 | SWAP(myrinfo->id, myedegrees[k].ed, j); |
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568 | if (myedegrees[k].ed == 0) |
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569 | myedegrees[k] = myedegrees[--myrinfo->ndegrees]; |
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570 | else |
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571 | myedegrees[k].pid = from; |
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572 | |
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573 | if (myrinfo->ed == 0) |
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574 | BNDDelete(nbnd, bndind, bndptr, i); |
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575 | |
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576 | /* Update the degrees of adjacent vertices */ |
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577 | for (j=xadj[i]; j<xadj[i+1]; j++) { |
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578 | ii = adjncy[j]; |
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579 | me = where[ii]; |
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580 | |
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581 | myrinfo = graph->rinfo+ii; |
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582 | if (myrinfo->edegrees == NULL) { |
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583 | myrinfo->edegrees = ctrl->wspace.edegrees+ctrl->wspace.cdegree; |
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584 | ctrl->wspace.cdegree += xadj[ii+1]-xadj[ii]; |
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585 | } |
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586 | myedegrees = myrinfo->edegrees; |
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587 | |
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588 | ASSERT(CheckRInfo(myrinfo)); |
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589 | |
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590 | oldgain = (myrinfo->ed-myrinfo->id); |
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591 | |
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592 | if (me == from) { |
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593 | INC_DEC(myrinfo->ed, myrinfo->id, adjwgt[j]); |
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594 | |
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595 | if (myrinfo->ed > 0 && bndptr[ii] == -1) |
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596 | BNDInsert(nbnd, bndind, bndptr, ii); |
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597 | } |
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598 | else if (me == to) { |
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599 | INC_DEC(myrinfo->id, myrinfo->ed, adjwgt[j]); |
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600 | |
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601 | if (myrinfo->ed == 0 && bndptr[ii] != -1) |
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602 | BNDDelete(nbnd, bndind, bndptr, ii); |
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603 | } |
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604 | |
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605 | /* Remove contribution from the .ed of 'from' */ |
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606 | if (me != from) { |
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607 | for (k=0; k<myrinfo->ndegrees; k++) { |
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608 | if (myedegrees[k].pid == from) { |
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609 | if (myedegrees[k].ed == adjwgt[j]) |
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610 | myedegrees[k] = myedegrees[--myrinfo->ndegrees]; |
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611 | else |
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612 | myedegrees[k].ed -= adjwgt[j]; |
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613 | break; |
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614 | } |
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615 | } |
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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]; |
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629 | } |
---|
630 | } |
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631 | |
---|
632 | /* Update the queue */ |
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633 | if (me == to || me == from) { |
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634 | gain = myrinfo->ed-myrinfo->id; |
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635 | if (moved[ii] == 2) { |
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636 | if (myrinfo->ed > 0) |
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637 | PQueueUpdate(&queue, ii, oldgain, gain); |
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638 | else { |
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639 | PQueueDelete(&queue, ii, oldgain); |
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640 | moved[ii] = -1; |
---|
641 | } |
---|
642 | } |
---|
643 | else if (moved[ii] == -1 && myrinfo->ed > 0) { |
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644 | PQueueInsert(&queue, ii, gain); |
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645 | moved[ii] = 2; |
---|
646 | } |
---|
647 | } |
---|
648 | |
---|
649 | ASSERT(myrinfo->ndegrees <= xadj[ii+1]-xadj[ii]); |
---|
650 | ASSERT(CheckRInfo(myrinfo)); |
---|
651 | } |
---|
652 | nmoves++; |
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653 | } |
---|
654 | |
---|
655 | graph->nbnd = nbnd; |
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656 | |
---|
657 | IFSET(ctrl->dbglvl, DBG_REFINE, |
---|
658 | printf("\t[%6d %6d], Balance: %5.3f, Nb: %6d. Nmoves: %5d, Cut: %6d\n", |
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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 | |
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663 | PQueueFree(ctrl, &queue); |
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664 | |
---|
665 | idxwspacefree(ctrl, nparts); |
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666 | idxwspacefree(ctrl, nparts); |
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667 | idxwspacefree(ctrl, nparts); |
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668 | idxwspacefree(ctrl, nvtxs); |
---|
669 | idxwspacefree(ctrl, nvtxs); |
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670 | |
---|
671 | } |
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672 | |
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