mirror of
https://develop.openfoam.com/Development/openfoam.git
synced 2025-11-28 03:28:01 +00:00
279 lines
9.0 KiB
C
279 lines
9.0 KiB
C
/*
|
|
* Copyright 1997, Regents of the University of Minnesota
|
|
*
|
|
* balance.c
|
|
*
|
|
* This file contains code that is used to forcefully balance either
|
|
* bisections or k-sections
|
|
*
|
|
* Started 7/29/97
|
|
* George
|
|
*
|
|
* $Id: balance.c,v 1.1 2003/07/16 15:54:58 karypis Exp $
|
|
*
|
|
*/
|
|
|
|
#include <metis.h>
|
|
|
|
/*************************************************************************
|
|
* This function is the entry point of the bisection balancing algorithms.
|
|
**************************************************************************/
|
|
void Balance2Way(CtrlType *ctrl, GraphType *graph, int *tpwgts, float ubfactor)
|
|
{
|
|
int i, j, nvtxs, from, imax, gain, mindiff;
|
|
idxtype *id, *ed;
|
|
|
|
/* Return right away if the balance is OK */
|
|
mindiff = abs(tpwgts[0]-graph->pwgts[0]);
|
|
if (mindiff < 3*(graph->pwgts[0]+graph->pwgts[1])/graph->nvtxs)
|
|
return;
|
|
if (graph->pwgts[0] > tpwgts[0] && graph->pwgts[0] < (int)(ubfactor*tpwgts[0]))
|
|
return;
|
|
if (graph->pwgts[1] > tpwgts[1] && graph->pwgts[1] < (int)(ubfactor*tpwgts[1]))
|
|
return;
|
|
|
|
if (graph->nbnd > 0)
|
|
Bnd2WayBalance(ctrl, graph, tpwgts);
|
|
else
|
|
General2WayBalance(ctrl, graph, tpwgts);
|
|
|
|
}
|
|
|
|
|
|
|
|
/*************************************************************************
|
|
* This function balances two partitions by moving boundary nodes
|
|
* from the domain that is overweight to the one that is underweight.
|
|
**************************************************************************/
|
|
void Bnd2WayBalance(CtrlType *ctrl, GraphType *graph, int *tpwgts)
|
|
{
|
|
int i, ii, j, k, kwgt, nvtxs, nbnd, nswaps, from, to, pass, me, tmp;
|
|
idxtype *xadj, *vwgt, *adjncy, *adjwgt, *where, *id, *ed, *bndptr, *bndind, *pwgts;
|
|
idxtype *moved, *perm;
|
|
PQueueType parts;
|
|
int higain, oldgain, mincut, mindiff;
|
|
|
|
nvtxs = graph->nvtxs;
|
|
xadj = graph->xadj;
|
|
vwgt = graph->vwgt;
|
|
adjncy = graph->adjncy;
|
|
adjwgt = graph->adjwgt;
|
|
where = graph->where;
|
|
id = graph->id;
|
|
ed = graph->ed;
|
|
pwgts = graph->pwgts;
|
|
bndptr = graph->bndptr;
|
|
bndind = graph->bndind;
|
|
|
|
moved = idxwspacemalloc(ctrl, nvtxs);
|
|
perm = idxwspacemalloc(ctrl, nvtxs);
|
|
|
|
/* Determine from which domain you will be moving data */
|
|
mindiff = abs(tpwgts[0]-pwgts[0]);
|
|
from = (pwgts[0] < tpwgts[0] ? 1 : 0);
|
|
to = (from+1)%2;
|
|
|
|
IFSET(ctrl->dbglvl, DBG_REFINE,
|
|
printf("Partitions: [%6d %6d] T[%6d %6d], Nv-Nb[%6d %6d]. ICut: %6d [B]\n",
|
|
pwgts[0], pwgts[1], tpwgts[0], tpwgts[1], graph->nvtxs, graph->nbnd, graph->mincut));
|
|
|
|
tmp = graph->adjwgtsum[idxamax(nvtxs, graph->adjwgtsum)];
|
|
PQueueInit(ctrl, &parts, nvtxs, tmp);
|
|
|
|
idxset(nvtxs, -1, moved);
|
|
|
|
ASSERT(ComputeCut(graph, where) == graph->mincut);
|
|
ASSERT(CheckBnd(graph));
|
|
|
|
/* Insert the boundary nodes of the proper partition whose size is OK in the priority queue */
|
|
nbnd = graph->nbnd;
|
|
RandomPermute(nbnd, perm, 1);
|
|
for (ii=0; ii<nbnd; ii++) {
|
|
i = perm[ii];
|
|
ASSERT(ed[bndind[i]] > 0 || id[bndind[i]] == 0);
|
|
ASSERT(bndptr[bndind[i]] != -1);
|
|
if (where[bndind[i]] == from && vwgt[bndind[i]] <= mindiff)
|
|
PQueueInsert(&parts, bndind[i], ed[bndind[i]]-id[bndind[i]]);
|
|
}
|
|
|
|
mincut = graph->mincut;
|
|
for (nswaps=0; nswaps<nvtxs; nswaps++) {
|
|
if ((higain = PQueueGetMax(&parts)) == -1)
|
|
break;
|
|
ASSERT(bndptr[higain] != -1);
|
|
|
|
if (pwgts[to]+vwgt[higain] > tpwgts[to])
|
|
break;
|
|
|
|
mincut -= (ed[higain]-id[higain]);
|
|
INC_DEC(pwgts[to], pwgts[from], vwgt[higain]);
|
|
|
|
where[higain] = to;
|
|
moved[higain] = nswaps;
|
|
|
|
IFSET(ctrl->dbglvl, DBG_MOVEINFO,
|
|
printf("Moved %6d from %d. [%3d %3d] %5d [%4d %4d]\n", higain, from, ed[higain]-id[higain], vwgt[higain], mincut, pwgts[0], pwgts[1]));
|
|
|
|
/**************************************************************
|
|
* Update the id[i]/ed[i] values of the affected nodes
|
|
***************************************************************/
|
|
SWAP(id[higain], ed[higain], tmp);
|
|
if (ed[higain] == 0 && xadj[higain] < xadj[higain+1])
|
|
BNDDelete(nbnd, bndind, bndptr, higain);
|
|
|
|
for (j=xadj[higain]; j<xadj[higain+1]; j++) {
|
|
k = adjncy[j];
|
|
oldgain = ed[k]-id[k];
|
|
|
|
kwgt = (to == where[k] ? adjwgt[j] : -adjwgt[j]);
|
|
INC_DEC(id[k], ed[k], kwgt);
|
|
|
|
/* Update its boundary information and queue position */
|
|
if (bndptr[k] != -1) { /* If k was a boundary vertex */
|
|
if (ed[k] == 0) { /* Not a boundary vertex any more */
|
|
BNDDelete(nbnd, bndind, bndptr, k);
|
|
if (moved[k] == -1 && where[k] == from && vwgt[k] <= mindiff) /* Remove it if in the queues */
|
|
PQueueDelete(&parts, k, oldgain);
|
|
}
|
|
else { /* If it has not been moved, update its position in the queue */
|
|
if (moved[k] == -1 && where[k] == from && vwgt[k] <= mindiff)
|
|
PQueueUpdate(&parts, k, oldgain, ed[k]-id[k]);
|
|
}
|
|
}
|
|
else {
|
|
if (ed[k] > 0) { /* It will now become a boundary vertex */
|
|
BNDInsert(nbnd, bndind, bndptr, k);
|
|
if (moved[k] == -1 && where[k] == from && vwgt[k] <= mindiff)
|
|
PQueueInsert(&parts, k, ed[k]-id[k]);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
IFSET(ctrl->dbglvl, DBG_REFINE,
|
|
printf("\tMinimum cut: %6d, PWGTS: [%6d %6d], NBND: %6d\n", mincut, pwgts[0], pwgts[1], nbnd));
|
|
|
|
graph->mincut = mincut;
|
|
graph->nbnd = nbnd;
|
|
|
|
PQueueFree(ctrl, &parts);
|
|
|
|
idxwspacefree(ctrl, nvtxs);
|
|
idxwspacefree(ctrl, nvtxs);
|
|
}
|
|
|
|
|
|
/*************************************************************************
|
|
* This function balances two partitions by moving the highest gain
|
|
* (including negative gain) vertices to the other domain.
|
|
* It is used only when tha unbalance is due to non contigous
|
|
* subdomains. That is, the are no boundary vertices.
|
|
* It moves vertices from the domain that is overweight to the one that
|
|
* is underweight.
|
|
**************************************************************************/
|
|
void General2WayBalance(CtrlType *ctrl, GraphType *graph, int *tpwgts)
|
|
{
|
|
int i, ii, j, k, kwgt, nvtxs, nbnd, nswaps, from, to, pass, me, tmp;
|
|
idxtype *xadj, *vwgt, *adjncy, *adjwgt, *where, *id, *ed, *bndptr, *bndind, *pwgts;
|
|
idxtype *moved, *perm;
|
|
PQueueType parts;
|
|
int higain, oldgain, mincut, mindiff;
|
|
|
|
nvtxs = graph->nvtxs;
|
|
xadj = graph->xadj;
|
|
vwgt = graph->vwgt;
|
|
adjncy = graph->adjncy;
|
|
adjwgt = graph->adjwgt;
|
|
where = graph->where;
|
|
id = graph->id;
|
|
ed = graph->ed;
|
|
pwgts = graph->pwgts;
|
|
bndptr = graph->bndptr;
|
|
bndind = graph->bndind;
|
|
|
|
moved = idxwspacemalloc(ctrl, nvtxs);
|
|
perm = idxwspacemalloc(ctrl, nvtxs);
|
|
|
|
/* Determine from which domain you will be moving data */
|
|
mindiff = abs(tpwgts[0]-pwgts[0]);
|
|
from = (pwgts[0] < tpwgts[0] ? 1 : 0);
|
|
to = (from+1)%2;
|
|
|
|
IFSET(ctrl->dbglvl, DBG_REFINE,
|
|
printf("Partitions: [%6d %6d] T[%6d %6d], Nv-Nb[%6d %6d]. ICut: %6d [B]\n",
|
|
pwgts[0], pwgts[1], tpwgts[0], tpwgts[1], graph->nvtxs, graph->nbnd, graph->mincut));
|
|
|
|
tmp = graph->adjwgtsum[idxamax(nvtxs, graph->adjwgtsum)];
|
|
PQueueInit(ctrl, &parts, nvtxs, tmp);
|
|
|
|
idxset(nvtxs, -1, moved);
|
|
|
|
ASSERT(ComputeCut(graph, where) == graph->mincut);
|
|
ASSERT(CheckBnd(graph));
|
|
|
|
/* Insert the nodes of the proper partition whose size is OK in the priority queue */
|
|
RandomPermute(nvtxs, perm, 1);
|
|
for (ii=0; ii<nvtxs; ii++) {
|
|
i = perm[ii];
|
|
if (where[i] == from && vwgt[i] <= mindiff)
|
|
PQueueInsert(&parts, i, ed[i]-id[i]);
|
|
}
|
|
|
|
mincut = graph->mincut;
|
|
nbnd = graph->nbnd;
|
|
for (nswaps=0; nswaps<nvtxs; nswaps++) {
|
|
if ((higain = PQueueGetMax(&parts)) == -1)
|
|
break;
|
|
|
|
if (pwgts[to]+vwgt[higain] > tpwgts[to])
|
|
break;
|
|
|
|
mincut -= (ed[higain]-id[higain]);
|
|
INC_DEC(pwgts[to], pwgts[from], vwgt[higain]);
|
|
|
|
where[higain] = to;
|
|
moved[higain] = nswaps;
|
|
|
|
IFSET(ctrl->dbglvl, DBG_MOVEINFO,
|
|
printf("Moved %6d from %d. [%3d %3d] %5d [%4d %4d]\n", higain, from, ed[higain]-id[higain], vwgt[higain], mincut, pwgts[0], pwgts[1]));
|
|
|
|
/**************************************************************
|
|
* Update the id[i]/ed[i] values of the affected nodes
|
|
***************************************************************/
|
|
SWAP(id[higain], ed[higain], tmp);
|
|
if (ed[higain] == 0 && bndptr[higain] != -1 && xadj[higain] < xadj[higain+1])
|
|
BNDDelete(nbnd, bndind, bndptr, higain);
|
|
if (ed[higain] > 0 && bndptr[higain] == -1)
|
|
BNDInsert(nbnd, bndind, bndptr, higain);
|
|
|
|
for (j=xadj[higain]; j<xadj[higain+1]; j++) {
|
|
k = adjncy[j];
|
|
oldgain = ed[k]-id[k];
|
|
|
|
kwgt = (to == where[k] ? adjwgt[j] : -adjwgt[j]);
|
|
INC_DEC(id[k], ed[k], kwgt);
|
|
|
|
/* Update the queue position */
|
|
if (moved[k] == -1 && where[k] == from && vwgt[k] <= mindiff)
|
|
PQueueUpdate(&parts, k, oldgain, ed[k]-id[k]);
|
|
|
|
/* Update its boundary information */
|
|
if (ed[k] == 0 && bndptr[k] != -1)
|
|
BNDDelete(nbnd, bndind, bndptr, k);
|
|
else if (ed[k] > 0 && bndptr[k] == -1)
|
|
BNDInsert(nbnd, bndind, bndptr, k);
|
|
}
|
|
}
|
|
|
|
IFSET(ctrl->dbglvl, DBG_REFINE,
|
|
printf("\tMinimum cut: %6d, PWGTS: [%6d %6d], NBND: %6d\n", mincut, pwgts[0], pwgts[1], nbnd));
|
|
|
|
graph->mincut = mincut;
|
|
graph->nbnd = nbnd;
|
|
|
|
PQueueFree(ctrl, &parts);
|
|
|
|
idxwspacefree(ctrl, nvtxs);
|
|
idxwspacefree(ctrl, nvtxs);
|
|
}
|