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/* testQR.c */
#include "../A2.h"
#include "../../timings.h"
/*--------------------------------------------------------------------*/
int
main ( int argc, char *argv[] )
/*
----------------------------------------------------------------
test the A2_QRreduce(), A2_QRcomputeQ() and A2_applyQT() methods
created -- 98dec10, cca
----------------------------------------------------------------
*/
{
A2 *A, *Q, *R, *X, *Y ;
double nops, t1, t2 ;
DV workDV ;
FILE *msgFile ;
int inc1, inc2, irow, jcol,
msglvl, nrow, ncol, ncolX, seed, type ;
if ( argc != 10 ) {
fprintf(stdout,
"\n\n usage : %s msglvl msgFile type nrow ncol inc1 inc2 seed ncolX"
"\n msglvl -- message level"
"\n msgFile -- message file"
"\n type -- entries type"
"\n 1 -- real"
"\n 2 -- complex"
"\n nrow -- # of rows in A"
"\n ncol -- # of columns in A"
"\n inc1 -- row increment, must be ncol"
"\n inc2 -- column increment, must be 1"
"\n seed -- random number seed"
"\n ncolX -- # of columns in X"
"\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) ;
}
type = atoi(argv[3]) ;
nrow = atoi(argv[4]) ;
ncol = atoi(argv[5]) ;
inc1 = atoi(argv[6]) ;
inc2 = atoi(argv[7]) ;
if ( type < 1 || type > 2 || nrow < 0 || ncol < 0
|| inc1 < 1 || inc2 < 1 ) {
fprintf(stderr,
"\n fatal error, type %d, nrow %d, ncol %d, inc1 %d, inc2 %d",
type, nrow, ncol, inc1, inc2) ;
exit(-1) ;
}
seed = atoi(argv[8]) ;
ncolX = atoi(argv[9]) ;
fprintf(msgFile, "\n\n %% %s :"
"\n %% msglvl = %d"
"\n %% msgFile = %s"
"\n %% type = %d"
"\n %% nrow = %d"
"\n %% ncol = %d"
"\n %% inc1 = %d"
"\n %% inc2 = %d"
"\n %% seed = %d"
"\n %% ncolX = %d"
"\n",
argv[0], msglvl, argv[2], type,
nrow, ncol, inc1, inc2, seed, ncolX) ;
if ( inc1 != 1 && inc2 != 1 ) {
fprintf(stderr, "\n inc1 = %d, inc2 = %d\n", inc1, inc2) ;
exit(-1) ;
}
/*
-----------------------------
initialize the matrix objects
-----------------------------
*/
MARKTIME(t1) ;
A = A2_new() ;
A2_init(A, type, nrow, ncol, inc1, inc2, NULL) ;
MARKTIME(t2) ;
fprintf(msgFile, "\n %% CPU : %.3f to initialize matrix object",
t2 - t1) ;
MARKTIME(t1) ;
A2_fillRandomUniform(A, -1, 1, seed++) ;
MARKTIME(t2) ;
fprintf(msgFile,
"\n %% CPU : %.3f to fill matrix with random numbers", t2 - t1) ;
if ( msglvl > 3 ) {
fprintf(msgFile, "\n matrix A") ;
A2_writeForHumanEye(A, msgFile) ;
}
if ( msglvl > 1 ) {
fprintf(msgFile, "\n %% matrix A") ;
A2_writeForMatlab(A, "A", msgFile) ;
}
/*
--------------------
compute the R matrix
--------------------
*/
DV_setDefaultFields(&workDV) ;
/*
------------------
use rank-1 updates
------------------
*/
MARKTIME(t1) ;
nops = A2_QRreduce(A, &workDV, msglvl, msgFile) ;
MARKTIME(t2) ;
fprintf(msgFile,
"\n %% CPU : rank-1: %.3f to compute R, %.0f ops, %.3f mflops",
t2 - t1, nops, 1.e-6*nops/(t2-t1)) ;
/*
----------------------
write out the R matrix
----------------------
*/
if ( msglvl > 1 ) {
fprintf(msgFile, "\n %% matrix R") ;
R = A2_new() ;
A2_subA2(R, A, 0, ncol - 1, 0, ncol - 1) ;
A2_writeForMatlab(R, "R", msgFile) ;
fprintf(msgFile,
"\n for jj = 1:%d"
"\n for ii = jj+1:%d"
"\n R(ii,jj) = 0.0 ;"
"\n end"
"\n end", ncol, ncol) ;
fflush(msgFile) ;
A2_free(R) ;
}
/*
-------------------------------
check the error |A^H*A - R^H*R|
-------------------------------
*/
if ( msglvl > 1 ) {
if ( type == SPOOLES_REAL ) {
fprintf(msgFile,
"\n emtx1 = transpose(A)*A - transpose(R)*R ;"
"\n error = max(max(abs(emtx1))) " ) ;
} else if ( type == SPOOLES_COMPLEX ) {
fprintf(msgFile,
"\n emtx1 = ctranspose(A)*A - ctranspose(R)*R ;"
"\n error = max(max(abs(emtx1))) " ) ;
}
DV_clearData(&workDV) ;
}
if ( inc1 == 1 ) {
/*
---------
compute Q
---------
*/
Q = A2_new() ;
A2_init(Q, type, nrow, ncol, inc1, inc2, NULL) ;
A2_computeQ(Q, A, &workDV, msglvl, msgFile) ;
if ( msglvl > 1 ) {
fprintf(msgFile, "\n %% matrix Q") ;
A2_writeForMatlab(Q, "Q", msgFile) ;
fprintf(msgFile,
"\n emtx2 = A - Q * R ;"
"\n error = max(max(abs(emtx2))) " ) ;
}
A2_free(Q) ;
/*
---------------------------------------------------
create a matrix X with the same number of rows as A
---------------------------------------------------
*/
MARKTIME(t1) ;
X = A2_new() ;
A2_init(X, type, nrow, ncolX, inc1, inc2, NULL) ;
MARKTIME(t2) ;
fprintf(msgFile, "\n %% CPU : %.3f to initialize matrix object",
t2 - t1) ;
MARKTIME(t1) ;
A2_fillRandomUniform(X, -1, 1, seed++) ;
MARKTIME(t2) ;
fprintf(msgFile,
"\n %% CPU : %.3f to fill matrix with random numbers", t2 - t1) ;
if ( msglvl > 3 ) {
fprintf(msgFile, "\n matrix X") ;
A2_writeForHumanEye(X, msgFile) ;
}
if ( msglvl > 1 ) {
fprintf(msgFile, "\n %% matrix X") ;
A2_writeForMatlab(X, "X", msgFile) ;
}
/*
-------------------
compute Y = Q^T * X
-------------------
*/
MARKTIME(t1) ;
Y = A2_new() ;
A2_init(Y, type, nrow, ncolX, inc1, inc2, NULL) ;
MARKTIME(t2) ;
fprintf(msgFile, "\n %% CPU : %.3f to initialize matrix object",
t2 - t1) ;
A2_applyQT(Y, A, X, &workDV, msglvl, msgFile) ;
if ( msglvl > 1 ) {
fprintf(msgFile, "\n %% matrix Y") ;
A2_writeForMatlab(Y, "Y", msgFile) ;
fprintf(msgFile, "\n [Qexact,Rexact] = qr(A) ;") ;
if ( A2_IS_REAL(A) ) {
fprintf(msgFile, "\n emtx3 = Y - transpose(Qexact) * X ;") ;
} else {
fprintf(msgFile, "\n emtx3 = Y - ctranspose(Qexact) * X ;") ;
}
fprintf(msgFile, "\n error = max(max(abs(emtx3))) " ) ;
}
A2_free(Q) ;
A2_free(X) ;
A2_free(Y) ;
}
/*
------------------------
free the working storage
------------------------
*/
DV_clearData(&workDV) ;
A2_free(A) ;
fprintf(msgFile, "\n") ;
fclose(msgFile) ;
return(1) ; }
/*--------------------------------------------------------------------*/
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