186 INTEGER NMAX, NN, NNB, NNS, NOUT
187 DOUBLE PRECISION THRESH
191 INTEGER IWORK( * ), NBVAL( * ), NSVAL( * ), NVAL( * )
192 DOUBLE PRECISION A( * ), AFAC( * ), AINV( * ), B( * ), E( * ),
193 $ RWORK( * ), WORK( * ), X( * ), XACT( * )
199 DOUBLE PRECISION ZERO, ONE
200 parameter( zero = 0.0d+0, one = 1.0d+0 )
201 DOUBLE PRECISION EIGHT, SEVTEN
202 parameter( eight = 8.0d+0, sevten = 17.0d+0 )
204 parameter( ntypes = 10 )
206 parameter( ntests = 7 )
209 LOGICAL TRFCON, ZEROT
210 CHARACTER DIST,
TYPE, UPLO, XTYPE
211 CHARACTER*3 PATH, MATPATH
212 INTEGER I, I1, I2, IMAT, IN, INB, INFO, IOFF, IRHS,
213 $ ITEMP, IUPLO, IZERO, J, K, KL, KU, LDA, LWORK,
214 $ MODE, N, NB, NERRS, NFAIL, NIMAT, NRHS, NRUN,
216 DOUBLE PRECISION ALPHA, ANORM, CNDNUM, CONST, DTEMP, SING_MAX,
217 $ SING_MIN, RCOND, RCONDC
221 INTEGER IDUMMY( 1 ), ISEED( 4 ), ISEEDY( 4 )
222 DOUBLE PRECISION BLOCK( 2, 2 ), DDUMMY( 1 ), RESULT( NTESTS )
225 DOUBLE PRECISION DGET06, DLANGE, DLANSY
235 INTRINSIC max, min, sqrt
243 COMMON / infoc / infot, nunit, ok, lerr
244 COMMON / srnamc / srnamt
247 DATA iseedy / 1988, 1989, 1990, 1991 /
248 DATA uplos /
'U',
'L' /
254 alpha = ( one+sqrt( sevten ) ) / eight
258 path( 1: 1 ) =
'Double precision'
263 matpath( 1: 1 ) =
'Double precision'
264 matpath( 2: 3 ) =
'SY'
270 iseed( i ) = iseedy( i )
276 $
CALL derrsy( path, nout )
298 DO 260 imat = 1, nimat
302 IF( .NOT.dotype( imat ) )
307 zerot = imat.GE.3 .AND. imat.LE.6
308 IF( zerot .AND. n.LT.imat-2 )
314 uplo = uplos( iuplo )
321 CALL dlatb4( matpath, imat, n, n,
TYPE, KL, KU, ANORM,
322 $ MODE, CNDNUM, DIST )
327 CALL dlatms( n, n, dist, iseed,
TYPE, RWORK, MODE,
328 $ CNDNUM, ANORM, KL, KU, UPLO, A, LDA, WORK,
334 CALL alaerh( path,
'DLATMS', info, 0, uplo, n, n, -1,
335 $ -1, -1, imat, nfail, nerrs, nout )
349 ELSE IF( imat.EQ.4 )
THEN
359 IF( iuplo.EQ.1 )
THEN
360 ioff = ( izero-1 )*lda
361 DO 20 i = 1, izero - 1
371 DO 40 i = 1, izero - 1
381 IF( iuplo.EQ.1 )
THEN
428 CALL dlacpy( uplo, n, n, a, lda, afac, lda )
435 lwork = max( 2, nb )*lda
437 CALL dsytrf_rk( uplo, n, afac, lda, e, iwork, ainv,
446 IF( iwork( k ).LT.0 )
THEN
447 IF( iwork( k ).NE.-k )
THEN
451 ELSE IF( iwork( k ).NE.k )
THEN
460 $
CALL alaerh( path,
'DSYTRF_RK', info, k,
461 $ uplo, n, n, -1, -1, nb, imat,
462 $ nfail, nerrs, nout )
475 CALL dsyt01_3( uplo, n, a, lda, afac, lda, e, iwork,
476 $ ainv, lda, rwork, result( 1 ) )
485 IF( inb.EQ.1 .AND. .NOT.trfcon )
THEN
486 CALL dlacpy( uplo, n, n, afac, lda, ainv, lda )
493 lwork = (n+nb+1)*(nb+3)
494 CALL dsytri_3( uplo, n, ainv, lda, e, iwork, work,
500 $
CALL alaerh( path,
'DSYTRI_3', info, -1,
501 $ uplo, n, n, -1, -1, -1, imat,
502 $ nfail, nerrs, nout )
507 CALL dpot03( uplo, n, a, lda, ainv, lda, work, lda,
508 $ rwork, rcondc, result( 2 ) )
516 IF( result( k ).GE.thresh )
THEN
517 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
518 $
CALL alahd( nout, path )
519 WRITE( nout, fmt = 9999 )uplo, n, nb, imat, k,
532 const = one / ( one-alpha )
534 IF( iuplo.EQ.1 )
THEN
543 IF( iwork( k ).GT.zero )
THEN
548 dtemp =
dlange(
'M', k-1, 1,
549 $ afac( ( k-1 )*lda+1 ), lda, rwork )
555 dtemp =
dlange(
'M', k-2, 2,
556 $ afac( ( k-2 )*lda+1 ), lda, rwork )
563 dtemp = dtemp - const + thresh
564 IF( dtemp.GT.result( 3 ) )
565 $ result( 3 ) = dtemp
581 IF( iwork( k ).GT.zero )
THEN
586 dtemp =
dlange(
'M', n-k, 1,
587 $ afac( ( k-1 )*lda+k+1 ), lda, rwork )
593 dtemp =
dlange(
'M', n-k-1, 2,
594 $ afac( ( k-1 )*lda+k+2 ), lda, rwork )
601 dtemp = dtemp - const + thresh
602 IF( dtemp.GT.result( 3 ) )
603 $ result( 3 ) = dtemp
618 const = ( one+alpha ) / ( one-alpha )
619 CALL dlacpy( uplo, n, n, afac, lda, ainv, lda )
621 IF( iuplo.EQ.1 )
THEN
630 IF( iwork( k ).LT.zero )
THEN
636 block( 1, 1 ) = afac( ( k-2 )*lda+k-1 )
637 block( 1, 2 ) = e( k )
638 block( 2, 1 ) = block( 1, 2 )
639 block( 2, 2 ) = afac( (k-1)*lda+k )
641 CALL dgesvd(
'N',
'N', 2, 2, block, 2, rwork,
642 $ ddummy, 1, ddummy, 1,
645 sing_max = rwork( 1 )
646 sing_min = rwork( 2 )
648 dtemp = sing_max / sing_min
652 dtemp = dtemp - const + thresh
653 IF( dtemp.GT.result( 4 ) )
654 $ result( 4 ) = dtemp
673 IF( iwork( k ).LT.zero )
THEN
679 block( 1, 1 ) = afac( ( k-1 )*lda+k )
680 block( 2, 1 ) = e( k )
681 block( 1, 2 ) = block( 2, 1 )
682 block( 2, 2 ) = afac( k*lda+k+1 )
684 CALL dgesvd(
'N',
'N', 2, 2, block, 2, rwork,
685 $ ddummy, 1, ddummy, 1,
689 sing_max = rwork( 1 )
690 sing_min = rwork( 2 )
692 dtemp = sing_max / sing_min
696 dtemp = dtemp - const + thresh
697 IF( dtemp.GT.result( 4 ) )
698 $ result( 4 ) = dtemp
713 IF( result( k ).GE.thresh )
THEN
714 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
715 $
CALL alahd( nout, path )
716 WRITE( nout, fmt = 9999 )uplo, n, nb, imat, k,
748 CALL dlarhs( matpath, xtype, uplo,
' ', n, n,
749 $ kl, ku, nrhs, a, lda, xact, lda,
750 $ b, lda, iseed, info )
751 CALL dlacpy(
'Full', n, nrhs, b, lda, x, lda )
754 CALL dsytrs_3( uplo, n, nrhs, afac, lda, e, iwork,
760 $
CALL alaerh( path,
'DSYTRS_3', info, 0,
761 $ uplo, n, n, -1, -1, nrhs, imat,
762 $ nfail, nerrs, nout )
764 CALL dlacpy(
'Full', n, nrhs, b, lda, work, lda )
768 CALL dpot02( uplo, n, nrhs, a, lda, x, lda, work,
769 $ lda, rwork, result( 5 ) )
774 CALL dget04( n, nrhs, x, lda, xact, lda, rcondc,
781 IF( result( k ).GE.thresh )
THEN
782 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
783 $
CALL alahd( nout, path )
784 WRITE( nout, fmt = 9998 )uplo, n, nrhs,
785 $ imat, k, result( k )
799 anorm =
dlansy(
'1', uplo, n, a, lda, rwork )
801 CALL dsycon_3( uplo, n, afac, lda, e, iwork, anorm,
802 $ rcond, work, iwork( n+1 ), info )
807 $
CALL alaerh( path,
'DSYCON_3', info, 0,
808 $ uplo, n, n, -1, -1, -1, imat,
809 $ nfail, nerrs, nout )
813 result( 7 ) =
dget06( rcond, rcondc )
818 IF( result( 7 ).GE.thresh )
THEN
819 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
820 $
CALL alahd( nout, path )
821 WRITE( nout, fmt = 9997 ) uplo, n, imat, 7,
834 CALL alasum( path, nout, nfail, nrun, nerrs )
836 9999
FORMAT(
' UPLO = ''', a1,
''', N =', i5,
', NB =', i4,
', type ',
837 $ i2,
', test ', i2,
', ratio =', g12.5 )
838 9998
FORMAT(
' UPLO = ''', a1,
''', N =', i5,
', NRHS=', i3,
', type ',
839 $ i2,
', test(', i2,
') =', g12.5 )
840 9997
FORMAT(
' UPLO = ''', a1,
''', N =', i5,
',', 10x,
' type ', i2,
841 $
', test(', i2,
') =', g12.5 )