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/* testGridMPI.c */
#include "../spoolesMPI.h"
#include "../../timings.h"
/*--------------------------------------------------------------------*/
void mkNDlinsys ( int n1, int n2, int n3, int maxzeros, int maxsize,
int type, int symmetryflag, int nrhs, int seed, int msglvl,
FILE *msgFile, ETree **pfrontETree, IVL **psymbfacIVL,
InpMtx **pmtxA, DenseMtx **pmtxX, DenseMtx **pmtxB ) ;
/*--------------------------------------------------------------------*/
int
main ( int argc, char *argv[] )
/*
*/
{
Chv *rootchv ;
ChvManager *chvmanager ;
DenseMtx *mtxB, *mtxkeep, *mtxX, *mtxZ ;
double cputotal, cutoff, droptol, error, factorops,
solvecpu, solveops, tau, terror, t1, t2 ;
double cpus[14], tcpus[14] ;
DV *cumopsDV ;
ETree *frontETree ;
FILE *msgFile ;
FrontMtx *frontmtx ;
InpMtx *mtxA, *mtxAkeep ;
int factorerror, lookahead, maptype, maxsize, maxzeros,
msglvl, myid, neqns, nproc, nrhs, nrow, nzf, n1, n2,
n3, pivotingflag, seed, sparsityflag, symmetryflag,
tag, type ;
int *rowindX, *rowindZ ;
int stats[17], tstats[17] ;
IV *frontOwnersIV, *vtxmapIV ;
IVL *symbfacIVL ;
SolveMap *solvemap ;
SubMtxManager *factormanager, *solvemanager ;
/*
---------------------------------------------------------------
find out the identity of this process and the number of process
---------------------------------------------------------------
*/
MPI_Init(&argc, &argv) ;
MPI_Comm_rank(MPI_COMM_WORLD, &myid) ;
MPI_Comm_size(MPI_COMM_WORLD, &nproc) ;
fprintf(stdout, "\n process %d of %d, argc = %d", myid, nproc, argc) ;
fflush(stdout) ;
if ( argc != 19 ) {
fprintf(stdout,
"\n\n usage : %s "
"\n msglvl msgFile n1 n2 n3 maxzeros maxsize seed "
"\n type symmetryflag sparsityflag pivotingflag "
"\n tau droptol lookahead nrhs maptype cutoff"
"\n msglvl -- message level"
"\n msgFile -- message file"
"\n n1 -- # of points in first dimension"
"\n n2 -- # of points in second dimension"
"\n n3 -- # of points in third dimension"
"\n maxzeros -- max # of zeros in a front"
"\n maxsize -- max # of internal vertices in a front"
"\n seed -- random number seed"
"\n type -- type of entries"
"\n 1 --> real "
"\n 2 --> complex "
"\n symmetryflag -- symmetry flag"
"\n 0 --> symmetric "
"\n 1 --> hermitian "
"\n 2 --> nonsymmetric "
"\n sparsityflag -- sparsity flag"
"\n 0 --> store dense fronts"
"\n 1 --> store sparse fronts, use droptol to drop entries"
"\n pivotingflag -- pivoting flag"
"\n 0 --> do not pivot"
"\n 1 --> enable pivoting"
"\n tau -- upper bound on factor entries"
"\n used only with pivoting"
"\n droptol -- lower bound on factor entries"
"\n used only with sparse fronts"
"\n lookahead -- parameter to schedule computation"
"\n 0 --> no lookahead"
"\n nonzero --> look up the tree this many steps"
"\n nrhs -- number of right hand sides"
"\n maptype -- type of factorization map"
"\n 1 --> wrap map"
"\n 2 --> balanced map via post-order traversal"
"\n 3 --> subtree-subset map"
"\n 4 --> domain decomposition map"
"\n cutoff -- used when maptype = 4"
"\n 0 < cutoff < 1 to define multisector"
"\n try cutoff = 1/nproc or 1/(2*nproc)"
"\n", argv[0]) ;
{ int ii ;
fprintf(stdout, "\n\n argc = %d", argc) ;
for ( ii = 0 ; ii < argc ; ii++ ) {
fprintf(stdout, "\n arg %d = %s", ii, argv[ii]) ;
}
}
MPI_Finalize() ;
return(0) ;
}
msglvl = atoi(argv[1]) ;
if ( strcmp(argv[2], "stdout") == 0 ) {
msgFile = stdout ;
} else {
int length = strlen(argv[2]) + 1 + 4 ;
char *buffer = CVinit(length, '\0') ;
sprintf(buffer, "%s.%d", argv[2], myid) ;
if ( (msgFile = fopen(buffer, "w")) == NULL ) {
fprintf(stderr, "\n fatal error in %s"
"\n unable to open file %s\n",
argv[0], buffer) ;
return(-1) ;
}
CVfree(buffer) ;
}
n1 = atoi(argv[ 3]) ;
n2 = atoi(argv[ 4]) ;
n3 = atoi(argv[ 5]) ;
maxzeros = atoi(argv[ 6]) ;
maxsize = atoi(argv[ 7]) ;
seed = atoi(argv[ 8]) ;
type = atoi(argv[ 9]) ;
symmetryflag = atoi(argv[10]) ;
sparsityflag = atoi(argv[11]) ;
pivotingflag = atoi(argv[12]) ;
tau = atof(argv[13]) ;
droptol = atof(argv[14]) ;
lookahead = atoi(argv[15]) ;
nrhs = atoi(argv[16]) ;
maptype = atoi(argv[17]) ;
cutoff = atof(argv[18]) ;
fprintf(msgFile, "\n %s :"
"\n msglvl = %d"
"\n msgFile = %s"
"\n n1 = %d"
"\n n2 = %d"
"\n n3 = %d"
"\n maxzeros = %d"
"\n maxsize = %d"
"\n seed = %d"
"\n type = %d"
"\n symmetryflag = %d"
"\n sparsityflag = %d"
"\n pivotingflag = %d"
"\n tau = %f"
"\n droptol = %f"
"\n lookahead = %d"
"\n nrhs = %d"
"\n maptype = %d"
"\n cutoff = %f"
"\n",
argv[0], msglvl, argv[2], n1, n2, n3, maxzeros, maxsize, seed,
type, symmetryflag, sparsityflag, pivotingflag, tau, droptol,
lookahead, nrhs, maptype, cutoff) ;
fflush(msgFile) ;
neqns = n1*n2*n3 ;
/*
---------------------------------------------------------------
find out the identity of this process and the number of process
---------------------------------------------------------------
*/
MPI_Comm_rank(MPI_COMM_WORLD, &myid) ;
MPI_Comm_size(MPI_COMM_WORLD, &nproc) ;
if ( myid == 0 ) {
/*
--------------------------
generate the linear system
--------------------------
*/
mkNDlinsys(n1, n2, n3, maxzeros, maxsize, type, symmetryflag, nrhs,
seed, msglvl, msgFile, &frontETree, &symbfacIVL, &mtxA,
&mtxX, &mtxB) ;
/*
-------------------------------
free the symbolic factorization
-------------------------------
*/
IVL_free(symbfacIVL) ;
/*
-------------------------------------------
send the front tree to the other processors
-------------------------------------------
*/
frontETree = ETree_MPI_Bcast(frontETree, 0,
msglvl, msgFile, MPI_COMM_WORLD) ;
} else {
/*
---------------------------------------
receive the front tree from processor 0
---------------------------------------
*/
frontETree = ETree_MPI_Bcast(NULL, 0,
msglvl, msgFile, MPI_COMM_WORLD) ;
/*
------------------------------
create the objects for X and B
------------------------------
*/
mtxX = DenseMtx_new() ;
mtxB = DenseMtx_new() ;
DenseMtx_init(mtxX, type, -1, -1, 0, nrhs, 1, 0) ;
DenseMtx_init(mtxB, type, -1, -1, 0, nrhs, 1, 0) ;
/*
-----------------------
create the object for A
-----------------------
*/
mtxA = InpMtx_new() ;
InpMtx_init(mtxA, INPMTX_BY_CHEVRONS, type, 0, 0) ;
}
if ( msglvl > 1 ) {
fprintf(msgFile, "\n\n front ETree object") ;
ETree_writeForHumanEye(frontETree, msgFile) ;
fprintf(msgFile, "\n\n mtxX") ;
DenseMtx_writeForHumanEye(mtxX, msgFile) ;
fprintf(msgFile, "\n\n mtxB") ;
DenseMtx_writeForHumanEye(mtxB, msgFile) ;
fprintf(msgFile, "\n\n mtxA") ;
InpMtx_writeForHumanEye(mtxA, msgFile) ;
}
/*
---------------------------------
generate the owners map IV object
---------------------------------
*/
cumopsDV = DV_new() ;
DV_init(cumopsDV, nproc, NULL) ;
DV_fill(cumopsDV, 0.0) ;
switch ( maptype ) {
case 1 :
frontOwnersIV = ETree_wrapMap(frontETree, type, symmetryflag,
cumopsDV) ;
break ;
case 2 :
frontOwnersIV = ETree_balancedMap(frontETree, type, symmetryflag,
cumopsDV) ;
break ;
case 3 :
frontOwnersIV = ETree_subtreeSubsetMap(frontETree, type,
symmetryflag, cumopsDV) ;
break ;
case 4 :
frontOwnersIV = ETree_ddMap(frontETree, type, symmetryflag,
cumopsDV, cutoff) ;
break ;
default :
fprintf(stderr, "\n fatal error, maptype = %d", maptype) ;
MPI_Finalize() ;
exit(-1) ;
break ;
}
if ( msglvl > 1 ) {
fprintf(msgFile, "\n\n owners map object") ;
IV_writeForHumanEye(frontOwnersIV, msgFile) ;
}
fprintf(msgFile, "\n\n upper bound on load balance = %4.2f\n",
DV_sum(cumopsDV)/DV_max(cumopsDV)) ;
DV_free(cumopsDV) ;
/*
---------------------
create the vertex map
---------------------
*/
vtxmapIV = IV_new() ;
IV_init(vtxmapIV, neqns, NULL) ;
IVgather(neqns, IV_entries(vtxmapIV), IV_entries(frontOwnersIV),
ETree_vtxToFront(frontETree)) ;
if ( msglvl > 1 ) {
fprintf(msgFile, "\n\n vertex map object") ;
IV_writeForHumanEye(vtxmapIV, msgFile) ;
}
/*
------------------
split the X matrix
------------------
*/
tag = 1 ;
stats[0] = stats[1] = stats[2] = stats[3] = 0 ;
tstats[0] = tstats[1] = tstats[2] = tstats[3] = 0 ;
MARKTIME(t1) ;
mtxkeep = DenseMtx_MPI_splitByRows(mtxX, vtxmapIV, stats, msglvl,
msgFile, tag, MPI_COMM_WORLD) ;
DenseMtx_free(mtxX) ;
mtxX = mtxkeep ;
MARKTIME(t2) ;
fprintf(msgFile, "\n CPU %8.3f : split mtxX", t2 - t1) ;
fprintf(msgFile,
"\n # sent bytes sent # recv bytes recv"
"\n local comm : %6d %12d %6d %12d",
stats[0], stats[2], stats[1], stats[3]) ;
fflush(msgFile) ;
MPI_Reduce((void *) stats, (void *) tstats, 4, MPI_INT,
MPI_SUM, 0, MPI_COMM_WORLD) ;
if ( myid == 0 ) {
fprintf(msgFile, "\n global comm : %6d %12d %6d %12d\n",
tstats[0], tstats[2], tstats[1], tstats[3]) ;
fflush(msgFile) ;
}
if ( msglvl > 1 ) {
fprintf(msgFile, "\n\n mtxX object") ;
DenseMtx_writeForHumanEye(mtxX, msgFile) ;
}
/*
------------------
split the B matrix
------------------
*/
tag = 1 ;
stats[0] = stats[1] = stats[2] = stats[3] = 0 ;
tstats[0] = tstats[1] = tstats[2] = tstats[3] = 0 ;
MARKTIME(t1) ;
mtxkeep = DenseMtx_MPI_splitByRows(mtxB, vtxmapIV, stats, msglvl,
msgFile, tag, MPI_COMM_WORLD) ;
DenseMtx_free(mtxB) ;
mtxB = mtxkeep ;
MARKTIME(t2) ;
fprintf(msgFile, "\n CPU %8.3f : split mtxB", t2 - t1) ;
fprintf(msgFile,
"\n # sent bytes sent # recv bytes recv"
"\n local comm : %6d %12d %6d %12d",
stats[0], stats[2], stats[1], stats[3]) ;
fflush(msgFile) ;
MPI_Reduce((void *) stats, (void *) tstats, 4, MPI_INT,
MPI_SUM, 0, MPI_COMM_WORLD) ;
if ( myid == 0 ) {
fprintf(msgFile, "\n global comm : %6d %12d %6d %12d\n",
tstats[0], tstats[2], tstats[1], tstats[3]) ;
fflush(msgFile) ;
}
if ( msglvl > 1 ) {
fprintf(msgFile, "\n\n mtxB object") ;
DenseMtx_writeForHumanEye(mtxB, msgFile) ;
}
/*
------------------
split the A matrix
------------------
*/
tag = 1 ;
stats[0] = stats[1] = stats[2] = stats[3] = 0 ;
tstats[0] = tstats[1] = tstats[2] = tstats[3] = 0 ;
MARKTIME(t1) ;
InpMtx_changeStorageMode(mtxA, INPMTX_BY_VECTORS) ;
mtxAkeep = InpMtx_MPI_split(mtxA, vtxmapIV, stats, msglvl,
msgFile, tag, MPI_COMM_WORLD) ;
InpMtx_free(mtxA) ;
mtxA = mtxAkeep ;
InpMtx_changeStorageMode(mtxA, INPMTX_BY_VECTORS) ;
MARKTIME(t2) ;
fprintf(msgFile, "\n CPU %8.3f : split mtxA", t2 - t1) ;
fprintf(msgFile,
"\n # sent bytes sent # recv bytes recv"
"\n local comm : %6d %12d %6d %12d",
stats[0], stats[2], stats[1], stats[3]) ;
fflush(msgFile) ;
MPI_Reduce((void *) stats, (void *) tstats, 4, MPI_INT,
MPI_SUM, 0, MPI_COMM_WORLD) ;
if ( myid == 0 ) {
fprintf(msgFile, "\n global comm : %6d %12d %6d %12d\n",
tstats[0], tstats[2], tstats[1], tstats[3]) ;
fflush(msgFile) ;
}
if ( msglvl > 1 ) {
fprintf(msgFile, "\n\n mtxA object") ;
InpMtx_writeForHumanEye(mtxA, msgFile) ;
}
/*
----------------------------------
compute the symbolic factorization
----------------------------------
*/
stats[0] = stats[1] = stats[2] = stats[3] = 0 ;
tstats[0] = tstats[1] = tstats[2] = tstats[3] = 0 ;
MARKTIME(t1) ;
symbfacIVL = SymbFac_MPI_initFromInpMtx(frontETree, frontOwnersIV, mtxA,
stats, msglvl, msgFile, tag, MPI_COMM_WORLD) ;
MARKTIME(t2) ;
fprintf(msgFile, "\n CPU %8.3f : symbolic factorization", t2 - t1) ;
fprintf(msgFile,
"\n # sent bytes sent # recv bytes recv"
"\n local comm : %6d %12d %6d %12d",
stats[0], stats[2], stats[1], stats[3]) ;
fflush(msgFile) ;
MPI_Reduce((void *) stats, (void *) tstats, 4, MPI_INT,
MPI_SUM, 0, MPI_COMM_WORLD) ;
if ( myid == 0 ) {
fprintf(msgFile, "\n global comm : %6d %12d %6d %12d\n",
tstats[0], tstats[2], tstats[1], tstats[3]) ;
fflush(msgFile) ;
}
if ( msglvl > 1 ) {
fprintf(msgFile, "\n\n symbolic factorization object") ;
IVL_writeForHumanEye(symbfacIVL, msgFile) ;
}
/*
----------------------------------
initialize the front matrix object
----------------------------------
*/
factormanager = SubMtxManager_new() ;
SubMtxManager_init(factormanager, 0, 0) ;
MARKTIME(t1) ;
frontmtx = FrontMtx_new() ;
FrontMtx_init(frontmtx, frontETree, symbfacIVL, type, symmetryflag,
sparsityflag, pivotingflag, NO_LOCK, myid, frontOwnersIV,
factormanager, msglvl, msgFile) ;
MARKTIME(t2) ;
fprintf(msgFile, "\n CPU %8.3f : initialize the front matrix",
t2 - t1) ;
if ( msglvl > 1 ) {
fprintf(msgFile, "\n front matrix initialized") ;
FrontMtx_writeForHumanEye(frontmtx, msgFile) ;
fflush(msgFile) ;
}
/*
-----------------------
factor the front matrix
-----------------------
*/
nzf = ETree_nFactorEntries(frontETree, symmetryflag) ;
factorops = ETree_nFactorOps(frontETree, type, symmetryflag) ;
IVzero(17, stats) ;
DVzero(14, cpus) ;
chvmanager = ChvManager_new() ;
ChvManager_init(chvmanager, NO_LOCK, 0) ;
MARKTIME(t1) ;
rootchv = FrontMtx_MPI_factorInpMtx(frontmtx, mtxA, tau, droptol,
chvmanager, frontOwnersIV, lookahead, &factorerror,
cpus, stats, msglvl, msgFile, tag, MPI_COMM_WORLD) ;
MARKTIME(t2) ;
fprintf(msgFile, "\n CPU %8.3f : factor matrix, %8.3f mflops",
t2 - t1, 1.e-6*factorops/(t2-t1)) ;
if ( factorerror >= 0 ) {
fprintf(msgFile, "\n\n error found in front %d", factorerror) ;
exit(-1) ;
}
if ( rootchv != NULL ) {
Chv *chv ;
fprintf(msgFile, "\n\n factorization did not complete") ;
for ( chv = rootchv ; chv != NULL ; chv = chv->next ) {
fprintf(stdout, "\n chv %d, nD = %d, nL = %d, nU = %d",
chv->id, chv->nD, chv->nL, chv->nU) ;
Chv_writeForHumanEye(chv, msgFile) ;
}
}
DVzero(14, tcpus) ;
MPI_Reduce((void *) cpus, (void *) tcpus, 14, MPI_DOUBLE,
MPI_SUM, 0, MPI_COMM_WORLD) ;
cputotal = DVsum(14, tcpus) ;
if ( cputotal > 0.0 ) {
fprintf(msgFile,
"\n initialize fronts %8.3f %6.2f"
"\n load fronts %8.3f %6.2f"
"\n update fronts %8.3f %6.2f"
"\n aggregate insert %8.3f %6.2f"
"\n aggregate remove/add %8.3f %6.2f"
"\n assemble postponed data %8.3f %6.2f"
"\n factor fronts %8.3f %6.2f"
"\n extract postponed data %8.3f %6.2f"
"\n store factor entries %8.3f %6.2f"
"\n post initial receives %8.3f %6.2f"
"\n check for recv'd messages %8.3f %6.2f"
"\n post initial sends %8.3f %6.2f"
"\n check for sent messages %8.3f %6.2f"
"\n total time %8.3f",
tcpus[0], 100.*tcpus[0]/cputotal,
tcpus[1], 100.*tcpus[1]/cputotal,
tcpus[2], 100.*tcpus[2]/cputotal,
tcpus[3], 100.*tcpus[3]/cputotal,
tcpus[4], 100.*tcpus[4]/cputotal,
tcpus[5], 100.*tcpus[5]/cputotal,
tcpus[6], 100.*tcpus[6]/cputotal,
tcpus[7], 100.*tcpus[7]/cputotal,
tcpus[8], 100.*tcpus[8]/cputotal,
tcpus[9], 100.*tcpus[9]/cputotal,
tcpus[10], 100.*tcpus[10]/cputotal,
tcpus[11], 100.*tcpus[11]/cputotal,
tcpus[12], 100.*tcpus[12]/cputotal, cputotal) ;
}
fprintf(msgFile,
"\n\n Local statistics"
"\n %d pivots, %d pivot tests, %d delayed rows and columns"
"\n %d entries in D, %d entries in L, %d entries in U"
"\n %d active Chv objects, %d active bytes, %d requested bytes",
stats[0], stats[1], stats[2], stats[3], stats[4], stats[5],
stats[14], stats[15], stats[16]) ;
fprintf(msgFile,
"\n local comm : # sent bytes sent # recv bytes recv"
"\n aggregate %6d %12d %6d %12d"
"\n postponed %6d %12d %6d %12d",
stats[6], stats[7], stats[8], stats[9],
stats[10], stats[11], stats[12], stats[13]) ;
IVzero(11, tstats) ;
MPI_Reduce((void *) stats, (void *) tstats, 17, MPI_INT,
MPI_SUM, 0, MPI_COMM_WORLD) ;
if ( myid == 0 ) {
fprintf(msgFile,
"\n\n Global statistics"
"\n %d pivots, %d pivot tests, %d delayed rows and columns"
"\n %d entries in D, %d entries in L, %d entries in U"
"\n %d active Chv objects, %d active bytes, %d requested bytes",
tstats[0], tstats[1], tstats[2],
tstats[3], tstats[4], tstats[5],
tstats[14], tstats[15], tstats[16]) ;
fprintf(msgFile,
"\n global comm : # sent bytes sent # recv bytes recv"
"\n aggregate %6d %12d %6d %12d"
"\n postponed %6d %12d %6d %12d",
tstats[6], tstats[7], tstats[8], tstats[9],
tstats[10], tstats[11], tstats[12], tstats[13]) ;
if ( FRONTMTX_IS_NONSYMMETRIC(frontmtx) ) {
solveops = 2*(tstats[3] + tstats[4] + tstats[5]) ;
} else {
solveops = 2*(tstats[3] + 2*tstats[5]) ;
}
if ( FRONTMTX_IS_COMPLEX(frontmtx) ) {
solveops *= 4 ;
}
solveops *= nrhs ;
fprintf(msgFile, "\n\n solve operations = %.0f", solveops) ;
}
SubMtxManager_writeForHumanEye(factormanager, msgFile) ;
ChvManager_writeForHumanEye(chvmanager, msgFile) ;
if ( msglvl > 2 ) {
fprintf(msgFile, "\n\n front factor matrix") ;
FrontMtx_writeForHumanEye(frontmtx, msgFile) ;
fflush(msgFile) ;
}
/*
----------------------------------------------------------
redistribute the right hand side and solution if necessary
----------------------------------------------------------
*/
MARKTIME(t1) ;
if ( FRONTMTX_IS_PIVOTING(frontmtx) ) {
IV *colmapIV ;
colmapIV = FrontMtx_MPI_colmapIV(frontmtx, frontOwnersIV,
msglvl, msgFile, MPI_COMM_WORLD) ;
if ( msglvl > 2 ) {
fprintf(msgFile, "\n\n column map IV object") ;
IV_writeForHumanEye(colmapIV, msgFile) ;
fflush(msgFile) ;
}
stats[0] = stats[1] = stats[2] = stats[3] = 0 ;
tstats[0] = tstats[1] = tstats[2] = tstats[3] = 0 ;
MARKTIME(t1) ;
mtxkeep = DenseMtx_MPI_splitByRows(mtxX, colmapIV, stats, msglvl,
msgFile, tag, MPI_COMM_WORLD) ;
DenseMtx_free(mtxX) ;
mtxX = mtxkeep ;
MARKTIME(t2) ;
fprintf(msgFile,
"\n\n CPU %8.3f : solution matrix split ", t2 - t1) ;
fprintf(msgFile,
"\n # sent bytes sent # recv bytes recv"
"\n local comm : %6d %12d %6d %12d",
stats[0], stats[2], stats[1], stats[3]) ;
fflush(msgFile) ;
MPI_Reduce((void *) stats, (void *) tstats, 4, MPI_INT,
MPI_SUM, 0, MPI_COMM_WORLD) ;
if ( myid == 0 ) {
fprintf(msgFile, "\n global comm : %6d %12d %6d %12d\n",
tstats[0], tstats[2], tstats[1], tstats[3]) ;
fflush(msgFile) ;
}
stats[0] = stats[1] = stats[2] = stats[3] = 0 ;
tstats[0] = tstats[1] = tstats[2] = tstats[3] = 0 ;
if ( FRONTMTX_IS_NONSYMMETRIC(frontmtx) ) {
IV *rowmapIV ;
rowmapIV = FrontMtx_MPI_rowmapIV(frontmtx, frontOwnersIV, msglvl,
msgFile, MPI_COMM_WORLD) ;
if ( msglvl > 2 ) {
fprintf(msgFile, "\n\n row map IV object") ;
IV_writeForHumanEye(rowmapIV, msgFile) ;
fflush(msgFile) ;
}
MARKTIME(t1) ;
mtxkeep = DenseMtx_MPI_splitByRows(mtxB, rowmapIV, stats, msglvl,
msgFile, tag, MPI_COMM_WORLD) ;
DenseMtx_free(mtxB) ;
mtxB = mtxkeep ;
MARKTIME(t2) ;
fprintf(msgFile, "\n CPU %8.3f : rhs matrix split ", t2 - t1) ;
IV_free(rowmapIV) ;
} else {
IVfill(4, stats, 0) ;
MARKTIME(t1) ;
mtxkeep = DenseMtx_MPI_splitByRows(mtxB, colmapIV, stats, msglvl,
msgFile, tag, MPI_COMM_WORLD) ;
DenseMtx_free(mtxB) ;
mtxB = mtxkeep ;
MARKTIME(t2) ;
fprintf(msgFile, "\n CPU %8.3f : rhs matrix split ", t2 - t1) ;
}
fprintf(msgFile,
"\n\n Redistibute rhs and solution for this process"
"\n # sent bytes sent # recv bytes recv"
"\n local comm : %6d %12d %6d %12d",
stats[0], stats[2], stats[1], stats[3]) ;
fflush(msgFile) ;
MPI_Reduce((void *) stats, (void *) tstats, 4, MPI_INT,
MPI_SUM, 0, MPI_COMM_WORLD) ;
if ( myid == 0 ) {
fprintf(msgFile, "\n global comm : %6d %12d %6d %12d\n",
tstats[0], tstats[2], tstats[1], tstats[3]) ;
fflush(msgFile) ;
}
if ( msglvl > 2 ) {
fprintf(msgFile, "\n\n solution matrix") ;
DenseMtx_writeForHumanEye(mtxX, msgFile) ;
fprintf(msgFile, "\n\n right hand side matrix") ;
DenseMtx_writeForHumanEye(mtxB, msgFile) ;
fflush(msgFile) ;
}
IV_free(colmapIV) ;
}
MARKTIME(t2) ;
fprintf(msgFile, "\n\n CPU %8.3f : solution and rhs set up ", t2-t1);
/*
-----------------------------------------------------------------
post-process the matrix and convert to a submatrix representation
-----------------------------------------------------------------
*/
stats[0] = stats[1] = stats[2] = stats[3] = 0 ;
tstats[0] = tstats[1] = tstats[2] = tstats[3] = 0 ;
MARKTIME(t1) ;
FrontMtx_MPI_postProcess(frontmtx, frontOwnersIV,
stats, msglvl, msgFile, tag, MPI_COMM_WORLD) ;
MARKTIME(t2) ;
fprintf(msgFile, "\n CPU %8.3f : post-process the factor matrix",
t2 - t1) ;
fprintf(msgFile,
"\n Post-process communication for this process"
"\n # sent bytes sent # recv bytes recv"
"\n local comm : %6d %12d %6d %12d",
stats[0], stats[2], stats[1], stats[3]) ;
fflush(msgFile) ;
MPI_Reduce((void *) stats, (void *) tstats, 4, MPI_INT,
MPI_SUM, 0, MPI_COMM_WORLD) ;
if ( myid == 0 ) {
fprintf(msgFile, "\n global comm : %6d %12d %6d %12d\n",
tstats[0], tstats[2], tstats[1], tstats[3]) ;
fflush(msgFile) ;
}
if ( msglvl > 1 ) {
fprintf(msgFile, "\n\n after post-processing, front factor matrix") ;
FrontMtx_writeForHumanEye(frontmtx, msgFile) ;
fflush(msgFile) ;
}
/*
---------------------------
create the solve map object
---------------------------
*/
MARKTIME(t1) ;
solvemap = SolveMap_new() ;
if ( FRONTMTX_IS_NONSYMMETRIC(frontmtx)
&& FRONTMTX_IS_PIVOTING(frontmtx) ) {
SolveMap_ddMap(solvemap, SPOOLES_NONSYMMETRIC,
frontmtx->upperblockIVL, frontmtx->lowerblockIVL,
nproc, frontOwnersIV, frontmtx->tree,
seed, msglvl, msgFile);
} else {
SolveMap_ddMap(solvemap, SPOOLES_SYMMETRIC, frontmtx->upperblockIVL,
NULL, nproc, frontOwnersIV, frontmtx->tree,
seed, msglvl, msgFile) ;
}
MARKTIME(t2) ;
fprintf(msgFile, "\n CPU %8.3f : solve map created", t2 - t1) ;
if ( msglvl > 2 ) {
SolveMap_writeForHumanEye(solvemap, msgFile) ;
} else {
SolveMap_writeStats(solvemap, msgFile) ;
}
fflush(msgFile) ;
/*
--------------------------------------------------
split the front matrix to conform to the solve map
--------------------------------------------------
*/
stats[0] = stats[1] = stats[2] = stats[3] = 0 ;
tstats[0] = tstats[1] = tstats[2] = tstats[3] = 0 ;
MARKTIME(t1) ;
FrontMtx_MPI_split(frontmtx, solvemap,
stats, msglvl, msgFile, tag, MPI_COMM_WORLD) ;
MARKTIME(t2) ;
fprintf(msgFile, "\n\n CPU %8.3f : front matrix split", t2 - t1) ;
fprintf(msgFile,
"\n Split front matrix communication for this process"
"\n # sent bytes sent # recv bytes recv"
"\n local comm : %6d %12d %6d %12d",
stats[0], stats[2], stats[1], stats[3]) ;
fflush(msgFile) ;
MPI_Reduce((void *) stats, (void *) tstats, 4, MPI_INT,
MPI_SUM, 0, MPI_COMM_WORLD) ;
if ( myid == 0 ) {
fprintf(msgFile, "\n global comm : %6d %12d %6d %12d\n",
tstats[0], tstats[2], tstats[1], tstats[3]) ;
fflush(msgFile) ;
}
if ( msglvl > 1 ) {
fprintf(msgFile, "\n\n after splitting, front factor matrix") ;
FrontMtx_writeForHumanEye(frontmtx, msgFile) ;
fflush(msgFile) ;
}
/*
-----------------------
solve the linear system
-----------------------
*/
solvemanager = SubMtxManager_new() ;
SubMtxManager_init(solvemanager, 0, 0) ;
IVzero(8, stats) ;
IVzero(8, tstats) ;
DVzero(5, cpus) ;
mtxZ = DenseMtx_new() ;
DenseMtx_init(mtxZ, type, 0, 0, mtxX->nrow, mtxX->ncol, 1, mtxX->nrow) ;
DenseMtx_zero(mtxZ) ;
DenseMtx_rowIndices(mtxX, &nrow, &rowindX) ;
DenseMtx_rowIndices(mtxZ, &nrow, &rowindZ) ;
IVcopy(nrow, rowindZ, rowindX) ;
MARKTIME(t1) ;
FrontMtx_MPI_solve(frontmtx, mtxZ, mtxB, solvemanager, solvemap,
cpus, stats, msglvl, msgFile, tag, MPI_COMM_WORLD);
MARKTIME(t2) ;
solvecpu = t2 - t1 ;
fprintf(msgFile, "\n CPU %8.3f : solve done ", solvecpu) ;
/*
fprintf(msgFile, "\n\n cpus") ;
DVfprintf(msgFile, 6, cpus) ;
*/
DVzero(6, tcpus) ;
MPI_Reduce((void *) cpus, (void *) tcpus, 6, MPI_DOUBLE,
MPI_SUM, 0, MPI_COMM_WORLD) ;
if ( myid == 0 ) {
fprintf(msgFile, ", %.3f mflops", 1.e-6*solveops/(t2-t1)) ;
/*
fprintf(msgFile, "\n\n tcpus") ;
DVfprintf(msgFile, 6, tcpus) ;
*/
solvecpu = DVsum(6, tcpus) ;
fprintf(msgFile, "\n\n Solve CPU breakdown:") ;
if ( solvecpu > 0.0 ) {
fprintf(msgFile,
"\n set up solves %8.3f %6.2f"
"\n load rhs and store solution %8.3f %6.2f"
"\n forward solve %8.3f %6.2f"
"\n diagonal solve %8.3f %6.2f"
"\n backward solve %8.3f %6.2f"
"\n miscellaneous %8.3f %6.2f"
"\n total time %8.3f",
tcpus[0], 100.*tcpus[0]/solvecpu,
tcpus[1], 100.*tcpus[1]/solvecpu,
tcpus[2], 100.*tcpus[2]/solvecpu,
tcpus[3], 100.*tcpus[3]/solvecpu,
tcpus[4], 100.*tcpus[4]/solvecpu,
tcpus[5], 100.*tcpus[5]/solvecpu, solvecpu) ;
}
}
fprintf(msgFile,
"\n\n Solve communication for this processor"
"\n aggregates solution"
"\n # # bytes # #bytes"
"\n send %10d %10d %10d %10d"
"\n recv %10d %10d %10d %10d",
stats[1], stats[3], stats[0], stats[2],
stats[5], stats[7], stats[4], stats[6]) ;
fflush(msgFile) ;
MPI_Reduce((void *) stats, (void *) tstats, 8, MPI_INT,
MPI_SUM, 0, MPI_COMM_WORLD) ;
if ( myid == 0 ) {
fprintf(msgFile,
"\n\n Solve communication for all processors"
"\n aggregates solution"
"\n # # bytes # #bytes"
"\n send %10d %10d %10d %10d"
"\n recv %10d %10d %10d %10d",
tstats[1], tstats[3], tstats[0], tstats[2],
tstats[5], tstats[7], tstats[4], tstats[6]) ;
fflush(msgFile) ;
}
SubMtxManager_writeForHumanEye(solvemanager, msgFile) ;
if ( msglvl > 2 ) {
fprintf(msgFile, "\n\n computed solution") ;
DenseMtx_writeForHumanEye(mtxZ, msgFile) ;
fflush(msgFile) ;
}
DenseMtx_sub(mtxZ, mtxX) ;
error = DenseMtx_maxabs(mtxZ) ;
fprintf(msgFile, "\n\n local error = %12.4e", error) ;
MPI_Reduce((void *) &error, (void *) &terror, 1, MPI_DOUBLE,
MPI_MAX, 0, MPI_COMM_WORLD) ;
if ( myid == 0 ) {
fprintf(msgFile, "\n global error = %12.4e", terror) ;
fflush(msgFile) ;
}
if ( msglvl > 2 ) {
fprintf(msgFile, "\n\n error matrix") ;
DenseMtx_writeForHumanEye(mtxZ, msgFile) ;
fflush(msgFile) ;
}
/*
------------------------
free the working storage
------------------------
*/
DenseMtx_free(mtxX) ;
DenseMtx_free(mtxB) ;
DenseMtx_free(mtxZ) ;
InpMtx_free(mtxA) ;
SubMtxManager_free(factormanager) ;
SubMtxManager_free(solvemanager) ;
ChvManager_free(chvmanager) ;
FrontMtx_free(frontmtx) ;
ETree_free(frontETree) ;
IVL_free(symbfacIVL) ;
IV_free(vtxmapIV) ;
IV_free(frontOwnersIV) ;
SolveMap_free(solvemap) ;
MPI_Barrier(MPI_COMM_WORLD) ;
fclose(msgFile) ;
MPI_Finalize() ;
return(1) ; }
/*--------------------------------------------------------------------*/
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