187 INTEGER NMAX, NN, NNB, NNS, NOUT
192 INTEGER IWORK( * ), NBVAL( * ), NSVAL( * ), NVAL( * )
194 COMPLEX A( * ), AFAC( * ), AINV( * ), B( * ), E( * ),
195 $ WORK( * ), X( * ), XACT( * )
202 parameter( zero = 0.0e+0, one = 1.0e+0 )
204 parameter( onehalf = 0.5e+0 )
206 parameter( eight = 8.0e+0, sevten = 17.0e+0 )
208 parameter( czero = ( 0.0e+0, 0.0e+0 ) )
210 parameter( ntypes = 11 )
212 parameter( ntests = 7 )
215 LOGICAL TRFCON, ZEROT
216 CHARACTER DIST,
TYPE, UPLO, XTYPE
217 CHARACTER*3 PATH, MATPATH
218 INTEGER I, I1, I2, IMAT, IN, INB, INFO, IOFF, IRHS,
219 $ ITEMP, ITEMP2, IUPLO, IZERO, J, K, KL, KU, LDA,
220 $ LWORK, MODE, N, NB, NERRS, NFAIL, NIMAT, NRHS,
222 REAL ALPHA, ANORM, CNDNUM, CONST, SING_MAX,
223 $ SING_MIN, RCOND, RCONDC, STEMP
227 INTEGER ISEED( 4 ), ISEEDY( 4 )
228 REAL RESULT( NTESTS )
229 COMPLEX BLOCK( 2, 2 ), CDUMMY( 1 )
232 REAL CLANGE, CLANSY, SGET06
242 INTRINSIC max, min, sqrt
250 COMMON / infoc / infot, nunit, ok, lerr
251 COMMON / srnamc / srnamt
254 DATA iseedy / 1988, 1989, 1990, 1991 /
255 DATA uplos /
'U',
'L' /
261 alpha = ( one+sqrt( sevten ) ) / eight
265 path( 1: 1 ) =
'Complex precision'
270 matpath( 1: 1 ) =
'Complex precision'
271 matpath( 2: 3 ) =
'SY'
277 iseed( i ) = iseedy( i )
283 $
CALL cerrsy( path, nout )
305 DO 260 imat = 1, nimat
309 IF( .NOT.dotype( imat ) )
314 zerot = imat.GE.3 .AND. imat.LE.6
315 IF( zerot .AND. n.LT.imat-2 )
321 uplo = uplos( iuplo )
325 IF( imat.NE.ntypes )
THEN
330 CALL clatb4( matpath, imat, n, n,
TYPE, KL, KU, ANORM,
331 $ MODE, CNDNUM, DIST )
336 CALL clatms( n, n, dist, iseed,
TYPE, RWORK, MODE,
337 $ CNDNUM, ANORM, KL, KU, UPLO, A, LDA,
343 CALL alaerh( path,
'CLATMS', info, 0, uplo, n, n,
344 $ -1, -1, -1, imat, nfail, nerrs, nout )
358 ELSE IF( imat.EQ.4 )
THEN
368 IF( iuplo.EQ.1 )
THEN
369 ioff = ( izero-1 )*lda
370 DO 20 i = 1, izero - 1
380 DO 40 i = 1, izero - 1
390 IF( iuplo.EQ.1 )
THEN
426 CALL clatsy( uplo, n, a, lda, iseed )
447 CALL clacpy( uplo, n, n, a, lda, afac, lda )
454 lwork = max( 2, nb )*lda
456 CALL csytrf_rk( uplo, n, afac, lda, e, iwork, ainv,
465 IF( iwork( k ).LT.0 )
THEN
466 IF( iwork( k ).NE.-k )
THEN
470 ELSE IF( iwork( k ).NE.k )
THEN
479 $
CALL alaerh( path,
'CSYTRF_RK', info, k,
480 $ uplo, n, n, -1, -1, nb, imat,
481 $ nfail, nerrs, nout )
494 CALL csyt01_3( uplo, n, a, lda, afac, lda, e, iwork,
495 $ ainv, lda, rwork, result( 1 ) )
504 IF( inb.EQ.1 .AND. .NOT.trfcon )
THEN
505 CALL clacpy( uplo, n, n, afac, lda, ainv, lda )
512 lwork = (n+nb+1)*(nb+3)
513 CALL csytri_3( uplo, n, ainv, lda, e, iwork, work,
519 $
CALL alaerh( path,
'CSYTRI_3', info, -1,
520 $ uplo, n, n, -1, -1, -1, imat,
521 $ nfail, nerrs, nout )
526 CALL csyt03( uplo, n, a, lda, ainv, lda, work, lda,
527 $ rwork, rcondc, result( 2 ) )
535 IF( result( k ).GE.thresh )
THEN
536 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
537 $
CALL alahd( nout, path )
538 WRITE( nout, fmt = 9999 )uplo, n, nb, imat, k,
551 const = ( ( alpha**2-one ) / ( alpha**2-onehalf ) ) /
554 IF( iuplo.EQ.1 )
THEN
563 IF( iwork( k ).GT.zero )
THEN
568 stemp =
clange(
'M', k-1, 1,
569 $ afac( ( k-1 )*lda+1 ), lda, rwork )
575 stemp =
clange(
'M', k-2, 2,
576 $ afac( ( k-2 )*lda+1 ), lda, rwork )
583 stemp = stemp - const + thresh
584 IF( stemp.GT.result( 3 ) )
585 $ result( 3 ) = stemp
601 IF( iwork( k ).GT.zero )
THEN
606 stemp =
clange(
'M', n-k, 1,
607 $ afac( ( k-1 )*lda+k+1 ), lda, rwork )
613 stemp =
clange(
'M', n-k-1, 2,
614 $ afac( ( k-1 )*lda+k+2 ), lda, rwork )
621 stemp = stemp - const + thresh
622 IF( stemp.GT.result( 3 ) )
623 $ result( 3 ) = stemp
639 const = ( ( alpha**2-one ) / ( alpha**2-onehalf ) )*
640 $ ( ( one + alpha ) / ( one - alpha ) )
642 IF( iuplo.EQ.1 )
THEN
651 IF( iwork( k ).LT.zero )
THEN
657 block( 1, 1 ) = afac( ( k-2 )*lda+k-1 )
658 block( 1, 2 ) = e( k )
659 block( 2, 1 ) = block( 1, 2 )
660 block( 2, 2 ) = afac( (k-1)*lda+k )
662 CALL cgesvd(
'N',
'N', 2, 2, block, 2, rwork,
663 $ cdummy, 1, cdummy, 1,
664 $ work, 6, rwork( 3 ), info )
667 sing_max = rwork( 1 )
668 sing_min = rwork( 2 )
670 stemp = sing_max / sing_min
674 stemp = stemp - const + thresh
675 IF( stemp.GT.result( 4 ) )
676 $ result( 4 ) = stemp
695 IF( iwork( k ).LT.zero )
THEN
701 block( 1, 1 ) = afac( ( k-1 )*lda+k )
702 block( 2, 1 ) = e( k )
703 block( 1, 2 ) = block( 2, 1 )
704 block( 2, 2 ) = afac( k*lda+k+1 )
706 CALL cgesvd(
'N',
'N', 2, 2, block, 2, rwork,
707 $ cdummy, 1, cdummy, 1,
708 $ work, 6, rwork(3), info )
710 sing_max = rwork( 1 )
711 sing_min = rwork( 2 )
713 stemp = sing_max / sing_min
717 stemp = stemp - const + thresh
718 IF( stemp.GT.result( 4 ) )
719 $ result( 4 ) = stemp
734 IF( result( k ).GE.thresh )
THEN
735 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
736 $
CALL alahd( nout, path )
737 WRITE( nout, fmt = 9999 )uplo, n, nb, imat, k,
769 CALL clarhs( matpath, xtype, uplo,
' ', n, n,
770 $ kl, ku, nrhs, a, lda, xact, lda,
771 $ b, lda, iseed, info )
772 CALL clacpy(
'Full', n, nrhs, b, lda, x, lda )
775 CALL csytrs_3( uplo, n, nrhs, afac, lda, e, iwork,
781 $
CALL alaerh( path,
'CSYTRS_3', info, 0,
782 $ uplo, n, n, -1, -1, nrhs, imat,
783 $ nfail, nerrs, nout )
785 CALL clacpy(
'Full', n, nrhs, b, lda, work, lda )
789 CALL csyt02( uplo, n, nrhs, a, lda, x, lda, work,
790 $ lda, rwork, result( 5 ) )
795 CALL cget04( n, nrhs, x, lda, xact, lda, rcondc,
802 IF( result( k ).GE.thresh )
THEN
803 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
804 $
CALL alahd( nout, path )
805 WRITE( nout, fmt = 9998 )uplo, n, nrhs,
806 $ imat, k, result( k )
820 anorm =
clansy(
'1', uplo, n, a, lda, rwork )
822 CALL csycon_3( uplo, n, afac, lda, e, iwork, anorm,
823 $ rcond, work, info )
828 $
CALL alaerh( path,
'CSYCON_3', info, 0,
829 $ uplo, n, n, -1, -1, -1, imat,
830 $ nfail, nerrs, nout )
834 result( 7 ) =
sget06( rcond, rcondc )
839 IF( result( 7 ).GE.thresh )
THEN
840 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
841 $
CALL alahd( nout, path )
842 WRITE( nout, fmt = 9997 )uplo, n, imat, 7,
855 CALL alasum( path, nout, nfail, nrun, nerrs )
857 9999
FORMAT(
' UPLO = ''', a1,
''', N =', i5,
', NB =', i4,
', type ',
858 $ i2,
', test ', i2,
', ratio =', g12.5 )
859 9998
FORMAT(
' UPLO = ''', a1,
''', N =', i5,
', NRHS=', i3,
', type ',
860 $ i2,
', test(', i2,
') =', g12.5 )
861 9997
FORMAT(
' UPLO = ''', a1,
''', N =', i5,
',', 10x,
' type ', i2,
862 $
', test(', i2,
') =', g12.5 )