int
SCOTCH_graphMapCompute (
SCOTCH_Graph * const grafptr, /*+ Graph to order +*/
SCOTCH_Mapping * const mappptr, /*+ Mapping to compute +*/
SCOTCH_Strat * const stratptr) /*+ Mapping strategy +*/
{
Kgraph mapgrafdat; /* Effective mapping graph */
const Strat * mapstratptr; /* Pointer to mapping strategy */
LibMapping * restrict lmapptr;
int o;
#ifdef SCOTCH_DEBUG_GRAPH2
if (graphCheck ((Graph *) grafptr) != 0) {
errorPrint ("SCOTCH_graphMapCompute: invalid input graph");
return (1);
}
#endif /* SCOTCH_DEBUG_GRAPH2 */
lmapptr = (LibMapping *) mappptr;
if (*((Strat **) stratptr) == NULL) { /* Set default mapping strategy if necessary */
ArchDom archdomnorg;
archDomFrst (&lmapptr->m.archdat, &archdomnorg);
if (archVar (&lmapptr->m.archdat))
SCOTCH_stratGraphClusterBuild (stratptr, 0, 1, 0.0, 0.05);
else
SCOTCH_stratGraphMapBuild (stratptr, 0, archDomSize (&lmapptr->m.archdat, &archdomnorg), 0.05);
}
mapstratptr = *((Strat **) stratptr);
if (mapstratptr->tabl != &kgraphmapststratab) {
errorPrint ("SCOTCH_graphMapCompute: not a graph mapping strategy");
return (1);
}
if (kgraphInit (&mapgrafdat, (Graph *) grafptr, &lmapptr->m) != 0)
return (1);
o = kgraphMapSt (&mapgrafdat, mapstratptr); /* Perform mapping */
lmapptr->m.domnmax = mapgrafdat.m.domnmax; /* Do not free the mapping, as it has been cloned */
lmapptr->m.domnnbr = mapgrafdat.m.domnnbr;
lmapptr->m.domntab = mapgrafdat.m.domntab; /* Update pointer to domntab in case it has changed */
mapgrafdat.m.parttax = NULL; /* Prevent mapping arrays from being freed by graph */
mapgrafdat.m.domntab = NULL;
kgraphExit (&mapgrafdat);
if (lmapptr->parttax != NULL) { /* Propagate mapping data to user partition array */
Gnum vertnum;
Gnum vertnnd;
for (vertnum = lmapptr->m.baseval, vertnnd = vertnum + lmapptr->m.vertnbr;
vertnum < vertnnd; vertnum ++)
lmapptr->parttax[vertnum] = archDomNum (&lmapptr->m.archdat, &lmapptr->m.domntab[lmapptr->m.parttax[vertnum]]);
}
return (o);
}
int
SCOTCH_graphMapLoad (
const SCOTCH_Graph * const grafptr, /*+ Graph to order +*/
const SCOTCH_Mapping * const mappptr, /*+ Mapping to save +*/
FILE * const stream) /*+ Output stream +*/
{
LibMapping * restrict lmapptr;
int o;
lmapptr = (LibMapping *) mappptr;
if ((o = mapLoad (&lmapptr->m, ((Graph *) grafptr)->vlbltax, stream)) != 0)
return (o);
if (lmapptr->parttax != NULL) { /* Propagate mapping data to user partition array */
Gnum vertnum;
Gnum vertnnd;
for (vertnum = lmapptr->m.baseval, vertnnd = vertnum + lmapptr->m.vertnbr;
vertnum < vertnnd; vertnum ++)
lmapptr->parttax[vertnum] = archDomNum (&lmapptr->m.archdat, &lmapptr->m.domntab[lmapptr->m.parttax[vertnum]]);
}
return (0);
}
int
SCOTCH_graphMapView (
const SCOTCH_Graph * const libgrafptr,
const SCOTCH_Mapping * const libmappptr,
FILE * const stream)
{
const Graph * restrict grafptr;
const Mapping * restrict mappptr;
Anum * restrict parttax; /* Part array */
MappingSort * restrict domntab; /* Pointer to domain sort array */
ArchDom domnfrst; /* Largest domain in architecture */
Anum tgtnbr; /* Number of processors in target topology */
Anum mapnbr; /* Number of processors effectively used */
Anum mapnum;
double mapavg; /* Average mapping weight */
Gnum mapmin;
Gnum mapmax;
Gnum mapsum; /* (Partial) sum of vertex loads */
double mapdlt;
double mapmmy; /* Maximum / average ratio */
Anum * restrict nghbtab; /* Table storing neighbors of current subdomain */
Anum nghbnbr;
Anum nghbmin;
Anum nghbmax;
Anum nghbsum;
Gnum vertnum;
Gnum veloval;
Gnum edloval;
Gnum commdist[256]; /* Array of load distribution */
Gnum commload; /* Total edge load (edge sum) */
Gnum commdilat; /* Total edge dilation */
Gnum commexpan; /* Total edge expansion */
Anum distmax;
Anum distval;
Gnum diammin;
Gnum diammax;
Gnum diamsum;
const Gnum * restrict const verttax = ((Graph *) libgrafptr)->verttax;
const Gnum * restrict const vendtax = ((Graph *) libgrafptr)->vendtax;
const Gnum * restrict const velotax = ((Graph *) libgrafptr)->velotax;
const Gnum * restrict const edgetax = ((Graph *) libgrafptr)->edgetax;
const Gnum * restrict const edlotax = ((Graph *) libgrafptr)->edlotax;
grafptr = (Graph *) libgrafptr;
mappptr = &((LibMapping *) libmappptr)->m;
if ((grafptr->vertnbr == 0) || /* Return if nothing to do */
(grafptr->edgenbr == 0))
return (0);
if (memAllocGroup ((void **) (void *)
&domntab, (size_t) ((grafptr->vertnbr + 1) * sizeof (MappingSort)),
&parttax, (size_t) (grafptr->vertnbr * sizeof (Anum)),
&nghbtab, (size_t) ((grafptr->vertnbr + 2) * sizeof (Anum)), NULL) == NULL) {
errorPrint ("SCOTCH_graphMapView: out of memory");
return (1);
}
memSet (parttax, ~0, grafptr->vertnbr * sizeof (Anum));
for (vertnum = 0; vertnum < grafptr->vertnbr; vertnum ++) {
parttax[vertnum] =
domntab[vertnum].labl = archDomNum (&mappptr->archdat, mapDomain (mappptr, vertnum + grafptr->baseval));
domntab[vertnum].peri = vertnum + grafptr->baseval; /* Build inverse permutation */
}
domntab[grafptr->vertnbr].labl = ARCHDOMNOTTERM; /* TRICK: avoid testing (i+1) */
domntab[grafptr->vertnbr].peri = ~0; /* Prevent Valgrind from yelling */
parttax -= grafptr->baseval; /* From now on, base part array */
intSort2asc2 (domntab, grafptr->vertnbr); /* Sort domain label array by increasing target labels */
archDomFrst (&mappptr->archdat, &domnfrst); /* Get architecture domain */
tgtnbr = archDomSize (&mappptr->archdat, &domnfrst); /* Get architecture size */
mapsum = 0;
mapnbr = 0;
veloval = 1; /* Assume unweighted vertices */
for (vertnum = 0; domntab[vertnum].labl != ARCHDOMNOTTERM; vertnum ++) {
parttax[domntab[vertnum].peri] = mapnbr; /* Build map of partition parts starting from 0 */
if (domntab[vertnum].labl != domntab[vertnum + 1].labl) /* TRICK: if new (or end) domain label */
mapnbr ++;
if (velotax != NULL)
veloval = velotax[domntab[vertnum].peri];
mapsum += veloval;
}
mapavg = (mapnbr == 0) ? 0.0L : (double) mapsum / (double) mapnbr;
mapsum = 0;
mapmin = GNUMMAX;
mapmax = 0;
mapdlt = 0.0L;
for (vertnum = 0; domntab[vertnum].labl != ARCHDOMNOTTERM; vertnum ++) {
if (velotax != NULL)
veloval = velotax[domntab[vertnum].peri];
mapsum += veloval;
if (domntab[vertnum].labl != domntab[vertnum + 1].labl) { /* TRICK: if new (or end) domain label */
if (mapsum < mapmin)
mapmin = mapsum;
if (mapsum > mapmax)
mapmax = mapsum;
mapdlt += fabs ((double) mapsum - mapavg);
mapsum = 0; /* Reset domain load sum */
}
}
mapdlt = (mapnbr != 0) ? mapdlt / ((double) mapnbr * mapavg) : 0.0L;
mapmmy = (mapnbr != 0) ? (double) mapmax / (double) mapavg : 0.0L;
if (mapnbr > tgtnbr) { /* If more subdomains than architecture size */
#ifdef SCOTCH_DEBUG_MAP2
if (! archVar (&mappptr->archdat)) { /* If not a variable-sized architecture */
errorPrint ("SCOTCH_graphMapView: invalid mapping");
memFree (domntab); /* Free group leader */
return (1);
}
#endif /* SCOTCH_DEBUG_MAP2 */
tgtnbr = mapnbr; /* Assume it is a variable-sized architecture */
}
fprintf (stream, "M\tProcessors " GNUMSTRING "/" GNUMSTRING " (%g)\n",
(Gnum) mapnbr,
(Gnum) tgtnbr,
(double) mapnbr / (double) tgtnbr);
fprintf (stream, "M\tTarget min=" GNUMSTRING "\tmax=" GNUMSTRING "\tavg=%g\tdlt=%g\tmaxavg=%g\n",
(Gnum) mapmin,
(Gnum) mapmax,
mapavg,
mapdlt,
mapmmy);
nghbnbr = 0;
nghbmin = ANUMMAX;
nghbmax = 0;
nghbsum = 0;
nghbnbr = 0;
nghbtab[0] = -2;
for (vertnum = 0; domntab[vertnum].labl != ARCHDOMNOTTERM; vertnum ++) {
Gnum edgenum;
Gnum edgennd;
Anum partnum;
partnum = parttax[domntab[vertnum].peri];
for (edgenum = verttax[domntab[vertnum].peri],
edgennd = vendtax[domntab[vertnum].peri];
edgenum < edgennd; edgenum ++) {
Anum partend;
partend = parttax[edgetax[edgenum]];
if ((partend != partnum) && /* If edge is not internal */
(partend != nghbtab[nghbnbr])) { /* And neighbor is not sole neighbor or has not just been found */
Anum partmin;
Anum partmax;
partmin = 0;
partmax = nghbnbr;
while ((partmax - partmin) > 1) {
Anum partmed;
partmed = (partmax + partmin) >> 1;
if (nghbtab[partmed] > partend)
partmax = partmed;
else
partmin = partmed;
}
if (nghbtab[partmin] == partend) /* If neighboring part found, skip to next neighbor */
continue;
#ifdef SCOTCH_DEBUG_MAP2
if (nghbnbr >= (grafptr->vertnbr + 1)) {
errorPrint ("SCOTCH_graphMapView: internal error");
return (1);
}
#endif /* SCOTCH_DEBUG_MAP2 */
nghbnbr ++;
for (partmax = nghbnbr; partmax > (partmin + 1); partmax --)
nghbtab[partmax] = nghbtab[partmax - 1];
nghbtab[partmin + 1] = partend; /* Add new neighbor part in the right place */
}
}
if (domntab[vertnum].labl != domntab[vertnum + 1].labl) { /* TRICK: if new (or end) domain label */
if (nghbnbr < nghbmin)
nghbmin = nghbnbr;
if (nghbnbr > nghbmax)
nghbmax = nghbnbr;
nghbsum += nghbnbr;
nghbnbr = 0;
}
}
static
int
graphMapCompute2 (
SCOTCH_Graph * const grafptr, /*+ Graph to order +*/
SCOTCH_Mapping * const mappptr, /*+ Mapping to compute +*/
SCOTCH_Mapping * const mapoptr, /*+ Old mapping +*/
const double emraval, /*+ Edge migration ratio +*/
const SCOTCH_Num * vmlotab, /*+ Vertex migration cost array +*/
Gnum vfixval, /*+ Equal to 0 if no fixed vertices +*/
SCOTCH_Strat * const straptr) /*+ Mapping strategy +*/
{
Kgraph mapgrafdat; /* Effective mapping graph */
const Strat * mapstraptr; /* Pointer to mapping strategy */
LibMapping * restrict lmapptr;
LibMapping * restrict lmaoptr;
Anum * pfixtax;
Gnum baseval;
Anum * parttax; /* Partition array */
Anum * parotax; /* Old partition array */
Gnum crloval; /* Coefficient load for regular edges */
Gnum cmloval; /* Coefficient load for migration edges */
const Gnum * vmlotax; /* Vertex migration cost array */
Gnum vertnum;
Gnum vertnnd;
Gnum vertnbr;
int o;
lmapptr = (LibMapping *) mappptr;
#ifdef SCOTCH_DEBUG_GRAPH2
if ((Graph *) grafptr != lmapptr->grafptr) {
errorPrint ("graphMapCompute2: output mapping does not correspond to input graph");
return (1);
}
if (graphCheck ((Graph *) grafptr) != 0) { /* Vertex loads can be 0 if we have fixed vertices */
errorPrint ("graphMapCompute2: invalid input graph");
return (1);
}
#endif /* SCOTCH_DEBUG_GRAPH2 */
if (*((Strat **) straptr) == NULL) { /* Set default mapping strategy if necessary */
ArchDom archdomnorg;
archDomFrst (lmapptr->archptr, &archdomnorg);
SCOTCH_stratGraphMapBuild (straptr, SCOTCH_STRATDEFAULT, archDomSize (lmapptr->archptr, &archdomnorg), 0.01);
}
mapstraptr = *((Strat **) straptr);
if (mapstraptr->tabl != &kgraphmapststratab) {
errorPrint ("graphMapCompute2: not a graph mapping strategy");
return (1);
}
baseval = lmapptr->grafptr->baseval;
vertnbr = lmapptr->grafptr->vertnbr;
if (mapoptr != NULL) { /* We are doing a repartitioning */
LibMapping * lmaoptr;
Gnum numeval;
Gnum denoval;
lmaoptr = (LibMapping *) mapoptr;
#ifdef SCOTCH_DEBUG_GRAPH2
if (lmapptr->grafptr != lmaoptr->grafptr) {
errorPrint ("graphMapCompute2: output and old mapping must correspond to the same graph");
return (1);
}
if (lmapptr->archptr != lmaoptr->archptr) {
errorPrint ("graphMapCompute2: output and old mapping must correspond to the same architecture");
return (1);
}
#endif /* SCOTCH_DEBUG_GRAPH2 */
parotax = lmaoptr->parttab - baseval;
vmlotax = (vmlotab != NULL) ? vmlotab - baseval : NULL;
numeval = (INT) ((emraval * 100.0) + 0.5);
denoval = intGcd (numeval, 100);
cmloval = numeval / denoval;
crloval = 100 / denoval;
}
else {
parotax = NULL;
vmlotax = NULL;
cmloval =
crloval = 1;
}
parttax = NULL;
if (vfixval != 0) { /* We have fixed vertices */
#ifdef SCOTCH_DEBUG_GRAPH2
if (lmapptr->parttab == NULL) { /* We must have fixed vertices information */
errorPrint ("graphMapCompute2: missing output mapping part array");
return (1);
}
#endif /* SCOTCH_DEBUG_GRAPH2 */
pfixtax = lmapptr->parttab - baseval;
if ((parttax = (Anum *) memAlloc (vertnbr * sizeof (Anum))) == NULL) {
errorPrint ("graphMapCompute2: out of memory (1)");
return (1);
}
memSet (parttax, 0, vertnbr * sizeof (Anum)); /* All vertices mapped to first domain */
parttax -= baseval;
} else {
pfixtax = NULL;
if (lmapptr->parttab == NULL) { /* If user mapping not initialized */
errorPrint ("graphMapCompute2: invalid user mapping");
return (1);
}
parttax = lmapptr->parttab - baseval;
}
intRandInit (); /* Check that random number generator is initialized */
if (kgraphInit (&mapgrafdat, (Graph *) grafptr, lmapptr->archptr, NULL, parttax, parotax, crloval, cmloval, vmlotax, pfixtax) != 0)
return (1);
o = 0;
if (mapgrafdat.vfixnbr != mapgrafdat.s.vertnbr) { /* Perform mapping if not all fixed vertices */
o = kgraphMapSt (&mapgrafdat, mapstraptr);
lmapptr->parttab -= baseval;
for (vertnum = baseval, vertnnd = vertnum + lmapptr->grafptr->vertnbr;
vertnum < vertnnd; vertnum ++)
lmapptr->parttab[vertnum] = archDomNum (lmapptr->archptr, &mapgrafdat.m.domntab[mapgrafdat.m.parttax[vertnum]]);
lmapptr->parttab += baseval;
}
if (vfixval != 0) /* We have fixed vertices */
memFree (parttax + baseval);
kgraphExit (&mapgrafdat);
return (o);
}