/* test_factor.c */
#include "../Chv.h"
#include "../../Drand.h"
#include "../../timings.h"
/*--------------------------------------------------------------------*/
int
main ( int argc, char *argv[] )
/*
-------------------------------------
test the Chv_factor() method.
the program's output is a matlab file
to check correctness of the code.
created -- 98apr22, cca
-------------------------------------
*/
{
Chv *chv ;
double imag, real, tau, t1, t2 ;
double *entries ;
Drand *drand ;
DV *workDV ;
FILE *msgFile ;
int ii, ipivot, irow, jcol, msglvl, ncol, nD, ndelay,
nelim, nent, nL, nrow, npivot, ntest, nU, pivotflag,
rc, seed, symflag, tag, type ;
int *colind, *pivotsizes, *rowind ;
IV *pivotsizesIV ;
if ( argc != 10 ) {
fprintf(stdout,
"\n\n usage : %s msglvl msgFile nD nU type symflag pivotflag seed tau "
"\n msglvl -- message level"
"\n msgFile -- message file"
"\n nD -- # of rows and columns in the (1,1) block"
"\n nU -- # of columns in the (1,2) block"
"\n type -- entries type"
"\n 1 --> real"
"\n 2 --> complex"
"\n symflag -- symmetry flag"
"\n 0 --> hermitian"
"\n 1 --> symmetric"
"\n 2 --> nonsymmetric"
"\n pivotflag -- pivoting flag"
"\n 0 --> no pivoting"
"\n 1 --> pivoting"
"\n tau -- bound on magnitude of factor entries"
"\n seed -- random number seed"
"\n", argv[0]) ;
return(0) ;
}
if ( (msglvl = atoi(argv[1])) < 0 ) {
fprintf(stderr, "\n message level must be positive\n") ;
exit(-1) ;
}
if ( strcmp(argv[2], "stdout") == 0 ) {
msgFile = stdout ;
} else if ( (msgFile = fopen(argv[2], "a")) == NULL ) {
fprintf(stderr, "\n unable to open file %s\n", argv[2]) ;
return(-1) ;
}
nD = atoi(argv[3]) ;
nU = atoi(argv[4]) ;
type = atoi(argv[5]) ;
symflag = atoi(argv[6]) ;
pivotflag = atoi(argv[7]) ;
seed = atoi(argv[8]) ;
tau = atof(argv[9]) ;
fprintf(msgFile, "\n %% testChv:"
"\n %% msglvl = %d"
"\n %% msgFile = %s"
"\n %% nD = %d"
"\n %% nU = %d"
"\n %% type = %d"
"\n %% symflag = %d"
"\n %% pivotflag = %d"
"\n %% seed = %d"
"\n %% tau = %f",
msglvl, argv[2], nD, nU, type, symflag, pivotflag, seed, tau) ;
nL = nU ;
/*
-----------------------------
check for errors in the input
-----------------------------
*/
if ( nD <= 0 || nL < 0 || nU < 0
|| symflag < 0 || symflag > 2 ) {
fprintf(stderr, "\n invalid input"
"\n nD = %d, nL = %d, nU = %d, symflag = %d\n",
nD, nL, nU, symflag) ;
exit(-1) ;
}
/*
--------------------------------------
initialize the random number generator
--------------------------------------
*/
drand = Drand_new() ;
Drand_init(drand) ;
Drand_setSeed(drand, seed) ;
Drand_setNormal(drand, 0.0, 1.0) ;
/*
----------------------------
initialize the Chv object
----------------------------
*/
MARKTIME(t1) ;
chv = Chv_new() ;
Chv_init(chv, 0, nD, nL, nU, type, symflag) ;
MARKTIME(t2) ;
fprintf(msgFile, "\n %% CPU : %.3f to initialize chv object",
t2 - t1) ;
fflush(msgFile) ;
Chv_columnIndices(chv, &ncol, &colind) ;
IVramp(ncol, colind, 0, 1) ;
if ( CHV_IS_NONSYMMETRIC(chv) ) {
Chv_rowIndices(chv, &nrow, &rowind) ;
IVramp(nrow, rowind, 0, 1) ;
}
/*
------------------------------------
load the entries with random entries
------------------------------------
*/
nent = Chv_nent(chv) ;
entries = Chv_entries(chv) ;
if ( CHV_IS_REAL(chv) ) {
Drand_fillDvector(drand, nent, entries) ;
} else if ( CHV_IS_COMPLEX(chv) ) {
Drand_fillDvector(drand, 2*nent, entries) ;
}
if ( CHV_IS_HERMITIAN(chv) ) {
for ( irow = 0 ; irow < nD ; irow++ ) {
Chv_complexEntry(chv, irow, irow, &real, &imag) ;
Chv_setComplexEntry(chv, irow, irow, real, 0.0) ;
}
}
fprintf(msgFile, "\n %% matrix entries") ;
Chv_writeForMatlab(chv, "A", msgFile) ;
if ( pivotflag == 1 ) {
pivotsizesIV = IV_new() ;
} else {
pivotsizesIV = NULL ;
}
workDV = DV_new() ;
/*
-----------------
factor the matrix
-----------------
*/
ndelay = ntest = 0 ;
if ( pivotflag == SPOOLES_PIVOTING ) {
nelim = Chv_factorWithPivoting(chv, ndelay, pivotflag, pivotsizesIV,
workDV, tau, &ntest) ;
} else {
nelim = Chv_factorWithNoPivoting(chv, NULL) ;
}
fprintf(msgFile, "\n nD = %d ;\n nelim = %d", nD, nelim) ;
/*
---------------------
write out the factors
---------------------
*/
Chv_rowIndices(chv, &nrow, &rowind) ;
Chv_columnIndices(chv, &ncol, &colind) ;
fprintf(msgFile,
"\n\n L = eye(%d,%d); "
"\n D = zeros(%d,%d); "
"\n T = zeros(%d,%d); "
"\n U = eye(%d,%d); ",
ncol, ncol, ncol, ncol, ncol, ncol, ncol, ncol) ;
if ( pivotflag == 0 ) {
if ( CHV_IS_REAL(chv) ) {
for ( irow = 0 ; irow < nD ; irow++ ) {
Chv_realEntry(chv, irow, irow, &real) ;
fprintf(msgFile, "\n D(%d,%d) = %20.12e ;",
rowind[irow]+1, colind[irow]+1, real) ;
for ( jcol = irow + 1 ; jcol < nD + nU ; jcol++ ) {
Chv_realEntry(chv, irow, jcol, &real) ;
fprintf(msgFile, "\n U(%d,%d) = %20.12e ;",
rowind[irow]+1, colind[jcol]+1, real) ;
Chv_realEntry(chv, jcol, irow, &real) ;
fprintf(msgFile, "\n L(%d,%d) = %20.12e ;",
rowind[jcol]+1, colind[irow]+1, real) ;
}
}
} else if ( CHV_IS_COMPLEX(chv) ) {
for ( irow = 0 ; irow < nD ; irow++ ) {
Chv_complexEntry(chv, irow, irow, &real, &imag) ;
fprintf(msgFile, "\n D(%d,%d) = %20.12e + %20.12e*i ;",
rowind[irow]+1, colind[irow]+1, real, imag) ;
for ( jcol = irow + 1 ; jcol < nD + nU ; jcol++ ) {
Chv_complexEntry(chv, irow, jcol, &real, &imag) ;
fprintf(msgFile, "\n U(%d,%d) = %20.12e + %20.12e*i ;",
rowind[irow]+1, colind[jcol]+1, real, imag) ;
Chv_complexEntry(chv, jcol, irow, &real, &imag) ;
fprintf(msgFile, "\n L(%d,%d) = %20.12e + %20.12e*i ;",
rowind[jcol]+1, colind[irow]+1, real, imag) ;
}
}
}
} else {
for ( irow = 0 ; irow < nrow ; irow++ ) {
fprintf(msgFile, "\n colind(%d) = %d;",
irow + 1, 1+colind[irow]) ;
}
if ( CHV_IS_NONSYMMETRIC(chv) ) {
for ( irow = 0 ; irow < nrow ; irow++ ) {
fprintf(msgFile, "\n rowind(%d) = %d;",
irow + 1, 1+rowind[irow]) ;
}
IV_setSize(pivotsizesIV, nelim) ;
IV_fill(pivotsizesIV, 1) ;
} else {
fprintf(msgFile, "\n rowind = colind ;") ;
}
fprintf(msgFile, "\n A = A(rowind,colind) ;") ;
IVramp(nrow, rowind, 0, 1) ;
IVramp(ncol, colind, 0, 1) ;
IV_sizeAndEntries(pivotsizesIV, &npivot, &pivotsizes) ;
fprintf(msgFile, "\n npivot = %d ;", npivot) ;
if ( CHV_IS_REAL(chv) ) {
for ( ipivot = irow = 0 ; ipivot < npivot ; ipivot++ ) {
if ( pivotsizes[ipivot] == 1 ) {
Chv_realEntry(chv, irow, irow, &real) ;
fprintf(msgFile, "\n D(%d,%d) = %20.12e ;",
rowind[irow]+1, colind[irow]+1, real) ;
for ( jcol = irow + 1 ; jcol < nD + nU ; jcol++ ) {
Chv_realEntry(chv, irow, jcol, &real) ;
fprintf(msgFile, "\n U(%d,%d) = %20.12e ;",
rowind[irow]+1, colind[jcol]+1, real) ;
Chv_realEntry(chv, jcol, irow, &real) ;
fprintf(msgFile, "\n L(%d,%d) = %20.12e ;",
rowind[jcol]+1, colind[irow]+1, real) ;
}
irow += 1 ;
} else {
Chv_realEntry(chv, irow, irow, &real) ;
fprintf(msgFile, "\n D(%d,%d) = %20.12e ;",
rowind[irow]+1, colind[irow]+1, real) ;
Chv_realEntry(chv, irow, irow+1, &real) ;
fprintf(msgFile, "\n D(%d,%d) = %20.12e ;",
rowind[irow]+1, colind[irow+1]+1, real) ;
Chv_realEntry(chv, irow+1, irow, &real) ;
fprintf(msgFile, "\n D(%d,%d) = %20.12e ;",
rowind[irow+1]+1, colind[irow]+1, real) ;
Chv_realEntry(chv, irow+1, irow+1, &real) ;
fprintf(msgFile, "\n D(%d,%d) = %20.12e ;",
rowind[irow+1]+1, colind[irow+1]+1, real) ;
for ( jcol = irow + 2 ; jcol < nD + nU ; jcol++ ) {
Chv_realEntry(chv, irow, jcol, &real) ;
fprintf(msgFile, "\n U(%d,%d) = %20.12e ;",
rowind[irow]+1, colind[jcol]+1, real) ;
Chv_realEntry(chv, jcol, irow, &real) ;
fprintf(msgFile, "\n L(%d,%d) = %20.12e ;",
rowind[jcol]+1, colind[irow]+1, real) ;
Chv_realEntry(chv, irow+1, jcol, &real) ;
fprintf(msgFile, "\n U(%d,%d) = %20.12e ;",
rowind[irow+1]+1, colind[jcol]+1, real) ;
Chv_realEntry(chv, jcol, irow+1, &real) ;
fprintf(msgFile, "\n L(%d,%d) = %20.12e ;",
rowind[jcol]+1, colind[irow+1]+1, real) ;
}
irow += 2 ;
}
}
for ( irow = nelim ; irow < nD ; irow++ ) {
Chv_realEntry(chv, irow, irow, &real) ;
fprintf(msgFile, "\n T(%d,%d) = %20.12e ;",
rowind[irow]+1, colind[irow]+1, real) ;
for ( jcol = irow + 1 ; jcol < ncol ; jcol++ ) {
Chv_realEntry(chv, irow, jcol, &real) ;
fprintf(msgFile, "\n T(%d,%d) = %20.12e ;",
rowind[irow]+1, colind[jcol]+1, real) ;
Chv_realEntry(chv, jcol, irow, &real) ;
fprintf(msgFile, "\n T(%d,%d) = %20.12e ;",
rowind[jcol]+1, colind[irow]+1, real) ;
}
}
} else if ( CHV_IS_COMPLEX(chv) ) {
for ( ipivot = irow = 0 ; ipivot < npivot ; ipivot++ ) {
if ( pivotsizes[ipivot] == 1 ) {
Chv_complexEntry(chv, irow, irow, &real, &imag) ;
fprintf(msgFile, "\n D(%d,%d) = %20.12e + %20.12e*i ;",
rowind[irow]+1, colind[irow]+1, real, imag) ;
for ( jcol = irow + 1 ; jcol < nD + nU ; jcol++ ) {
Chv_complexEntry(chv, irow, jcol, &real, &imag) ;
fprintf(msgFile, "\n U(%d,%d) = %20.12e + %20.12e*i ;",
rowind[irow]+1, colind[jcol]+1, real, imag) ;
Chv_complexEntry(chv, jcol, irow, &real, &imag) ;
fprintf(msgFile, "\n L(%d,%d) = %20.12e + %20.12e*i ;",
rowind[jcol]+1, colind[irow]+1, real, imag) ;
}
irow += 1 ;
} else {
Chv_complexEntry(chv, irow, irow, &real, &imag) ;
fprintf(msgFile, "\n D(%d,%d) = %20.12e + %20.12e*i ;",
rowind[irow]+1, colind[irow]+1, real, imag) ;
Chv_complexEntry(chv, irow, irow+1, &real, &imag) ;
fprintf(msgFile, "\n D(%d,%d) = %20.12e + %20.12e*i ;",
rowind[irow]+1, colind[irow+1]+1, real, imag) ;
Chv_complexEntry(chv, irow+1, irow, &real, &imag) ;
fprintf(msgFile, "\n D(%d,%d) = %20.12e + %20.12e*i ;",
rowind[irow+1]+1, colind[irow]+1, real, imag) ;
Chv_complexEntry(chv, irow+1, irow+1, &real, &imag) ;
fprintf(msgFile, "\n D(%d,%d) = %20.12e + %20.12e*i ;",
rowind[irow+1]+1, colind[irow+1]+1, real, imag) ;
for ( jcol = irow + 2 ; jcol < nD + nU ; jcol++ ) {
Chv_complexEntry(chv, irow, jcol, &real, &imag) ;
fprintf(msgFile, "\n U(%d,%d) = %20.12e + %20.12e*i ;",
rowind[irow]+1, colind[jcol]+1, real, imag) ;
Chv_complexEntry(chv, jcol, irow, &real, &imag) ;
fprintf(msgFile, "\n L(%d,%d) = %20.12e + %20.12e*i ;",
rowind[jcol]+1, colind[irow]+1, real, imag) ;
Chv_complexEntry(chv, irow+1, jcol, &real, &imag) ;
fprintf(msgFile, "\n U(%d,%d) = %20.12e + %20.12e*i ;",
rowind[irow+1]+1, colind[jcol]+1, real, imag) ;
Chv_complexEntry(chv, jcol, irow+1, &real, &imag) ;
fprintf(msgFile, "\n L(%d,%d) = %20.12e + %20.12e*i ;",
rowind[jcol]+1, colind[irow+1]+1, real, imag) ;
}
irow += 2 ;
}
}
for ( irow = nelim ; irow < nD ; irow++ ) {
Chv_complexEntry(chv, irow, irow, &real, &imag) ;
fprintf(msgFile, "\n T(%d,%d) = %20.12e + %20.12e*i ;",
rowind[irow]+1, colind[irow]+1, real, imag) ;
for ( jcol = irow + 1 ; jcol < ncol ; jcol++ ) {
Chv_complexEntry(chv, irow, jcol, &real, &imag) ;
fprintf(msgFile, "\n T(%d,%d) = %20.12e + %20.12e*i ;",
rowind[irow]+1, colind[jcol]+1, real, imag) ;
Chv_complexEntry(chv, jcol, irow, &real, &imag) ;
fprintf(msgFile, "\n T(%d,%d) = %20.12e + %20.12e*i ;",
rowind[jcol]+1, colind[irow]+1, real, imag) ;
}
}
}
}
fprintf(msgFile, "\n B = A ;") ;
fprintf(msgFile,
"\n B = A - T - L(:,1:%d) * D(1:%d,1:%d) * U(1:%d,:) ; ",
nelim, nelim, nelim, nelim) ;
fprintf(msgFile, "\n B(%d:%d,%d:%d) = 0.0 ; ", nD+1, ncol, nD+1, ncol) ;
fprintf(msgFile,
"\n maxabsB = max(max(abs(B)))"
"\n maxabsL = max(max(abs(L - eye(%d,%d))))"
"\n maxabsU = max(max(abs(U - eye(%d,%d))))"
"\n [ maxabsB maxabsL maxabsU ]",
ncol, ncol, ncol, ncol) ;
/*
------------------------
free the working storage
------------------------
*/
Chv_free(chv) ;
DV_free(workDV) ;
if ( pivotsizesIV != NULL ) {
IV_free(pivotsizesIV) ;
}
Drand_free(drand) ;
fprintf(msgFile, "\n") ;
return(1) ; }
/*--------------------------------------------------------------------*/
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