170 $ THRESH, TSTERR, NMAX, A, AFAC, AINV, B, X,
171 $ XACT, WORK, RWORK, IWORK, NOUT )
179 INTEGER NMAX, NN, NNB, NNS,
184 INTEGER IWORK( * ), NBVAL( * ), NSVAL( * ), NVAL( * )
186 COMPLEX A( * ), AFAC( * ), AINV( * ), B( * ),
187 $ work( * ), x( * ), xact( * )
194 PARAMETER ( ZERO = 0.0e+0, one = 1.0e+0 )
196 parameter( onehalf = 0.5e+0 )
198 parameter( eight = 8.0e+0, sevten = 17.0e+0 )
200 parameter( czero = ( 0.0e+0, 0.0e+0 ) )
202 parameter( ntypes = 11 )
204 parameter( ntests = 7 )
207 LOGICAL TRFCON, ZEROT
208 CHARACTER DIST,
TYPE, UPLO, XTYPE
209 CHARACTER*3 PATH, MATPATH
210 INTEGER I, I1, I2, IMAT, IN, INB, INFO, IOFF, IRHS,
211 $ iuplo, izero, j, k, kl, ku, lda, lwork, mode,
212 $ n, nb, nerrs, nfail, nimat, nrhs, nrun, nt
213 REAL ALPHA, ANORM, CNDNUM, CONST, SING_MAX,
214 $ SING_MIN, RCOND, RCONDC, STEMP
218 INTEGER ISEED( 4 ), ISEEDY( 4 )
219 REAL RESULT( NTESTS )
220 COMPLEX BLOCK( 2, 2 ), CDUMMY( 1 )
223 REAL CLANGE, CLANSY, SGET06
224 EXTERNAL CLANGE, CLANSY, SGET06
241 COMMON / infoc / infot, nunit, ok, lerr
242 COMMON / srnamc / srnamt
245 DATA iseedy / 1988, 1989, 1990, 1991 /
246 DATA uplos /
'U',
'L' /
252 alpha = ( one+sqrt( sevten ) ) / eight
256 path( 1: 1 ) =
'Complex precision'
261 matpath( 1: 1 ) =
'Complex precision'
262 matpath( 2: 3 ) =
'SY'
268 iseed( i ) = iseedy( i )
274 $
CALL cerrsy( path, nout )
296 DO 260 imat = 1, nimat
300 IF( .NOT.dotype( imat ) )
305 zerot = imat.GE.3 .AND. imat.LE.6
306 IF( zerot .AND. n.LT.imat-2 )
312 uplo = uplos( iuplo )
316 IF( imat.NE.ntypes )
THEN
321 CALL clatb4( matpath, imat, n, n,
TYPE, kl, ku, anorm,
322 $ mode, cndnum, dist )
327 CALL clatms( n, n, dist, iseed,
TYPE, rwork, mode,
328 $ cndnum, anorm, kl, ku, uplo, a, lda,
334 CALL alaerh( path,
'CLATMS', info, 0, uplo, n, n,
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
417 CALL clatsy( uplo, n, a, lda, iseed )
438 CALL clacpy( uplo, n, n, a, lda, afac, lda )
445 lwork =
max( 2, nb )*lda
446 srnamt =
'CSYTRF_ROOK'
456 IF( iwork( k ).LT.0 )
THEN
457 IF( iwork( k ).NE.-k )
THEN
461 ELSE IF( iwork( k ).NE.k )
THEN
470 $
CALL alaerh( path,
'CSYTRF_ROOK', info, k,
471 $ uplo, n, n, -1, -1, nb, imat,
472 $ nfail, nerrs, nout )
485 CALL csyt01_rook( uplo, n, a, lda, afac, lda, iwork,
486 $ ainv, lda, rwork, result( 1 ) )
495 IF( inb.EQ.1 .AND. .NOT.trfcon )
THEN
496 CALL clacpy( uplo, n, n, afac, lda, ainv, lda )
497 srnamt =
'CSYTRI_ROOK'
504 $
CALL alaerh( path,
'CSYTRI_ROOK', info, -1,
505 $ uplo, n, n, -1, -1, -1, imat,
506 $ nfail, nerrs, nout )
511 CALL csyt03( uplo, n, a, lda, ainv, lda, work, lda,
512 $ rwork, rcondc, result( 2 ) )
520 IF( result( k ).GE.thresh )
THEN
521 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
522 $
CALL alahd( nout, path )
523 WRITE( nout, fmt = 9999 )uplo, n, nb, imat
536 const = ( ( alpha**2-one ) / ( alpha**2-onehalf ) ) /
539 IF( iuplo.EQ.1 )
THEN
548 IF( iwork( k ).GT.zero )
THEN
553 stemp = clange(
'M', k-1, 1,
554 $ afac( ( k-1 )*lda+1 ), lda, rwork )
561 $ afac( ( k-2 )*lda+1 ), lda, rwork )
568 stemp = stemp - const + thresh
569 IF( stemp.GT.result( 3 ) )
570 $ result( 3 ) = stemp
586 IF( iwork( k ).GT.zero )
THEN
591 stemp = clange(
'M', n-k, 1,
598 stemp = clange(
'M', n-k-1, 2,
599 $ afac( ( k-1 )*lda+k+2 ), lda, rwork )
606 stemp = stemp - const + thresh
607 IF( stemp.GT.result( 3 ) )
608 $ result( 3 ) = stemp
624 const = ( ( alpha**2-one ) / ( alpha**2-onehalf ) )*
625 $ ( ( one + alpha ) / ( one - alpha ) )
627 IF( iuplo.EQ.1 )
THEN
636 IF( iwork( k ).LT.zero )
THEN
642 block( 1, 1 ) = afac( ( k-2 )*lda+k-1 )
643 block( 1, 2 ) = afac( (k-1)*lda+k-1 )
644 block( 2, 1 ) = block( 1, 2 )
645 block( 2, 2 ) = afac( (k-1)*lda+k )
647 CALL cgesvd(
'N',
'N', 2, 2, block, 2, rwork,
648 $ cdummy, 1, cdummy, 1,
649 $ work, 6, rwork( 3 ), info )
652 sing_max = rwork( 1 )
653 sing_min = rwork( 2 )
655 stemp = sing_max / sing_min
659 stemp = stemp - const + thresh
660 IF( stemp.GT.result( 4 ) )
661 $ result( 4 ) = stemp
680 IF( iwork( k ).LT.zero )
THEN
686 block( 1, 1 ) = afac( ( k-1 )*lda+k )
687 block( 2, 1 ) = afac( ( k-1 )*lda+k+1 )
688 block( 1, 2 ) = block( 2, 1 )
689 block( 2, 2 ) = afac( k*lda+k+1 )
691 CALL cgesvd(
'N',
'N', 2, 2, block, 2, rwork,
692 $ cdummy, 1, cdummy, 1,
693 $ work, 6, rwork(3), info )
695 sing_max = rwork( 1 )
696 sing_min = rwork( 2 )
698 stemp = sing_max / sing_min
702 stemp = stemp - const + thresh
703 IF( stemp.GT.result( 4 ) )
704 $ result( 4 ) = stemp
719 IF( result( k ).GE.thresh )
THEN
720 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
721 $
CALL alahd( nout, path )
722 WRITE( nout, fmt = 9999 )uplo, n, nb, imat, k,
754 CALL clarhs( matpath, xtype, uplo,
' ', n, n,
755 $ kl, ku, nrhs, a, lda, xact, lda,
756 $ b, lda, iseed, info )
757 CALL clacpy( 'full
', N, NRHS, B, LDA, X, LDA )
760 CALL CSYTRS_ROOK( UPLO, N, NRHS, AFAC, LDA, IWORK,
767 $ UPLO, N, N, -1, -1, NRHS, IMAT,
768 $ NFAIL, NERRS, NOUT )
770 CALL CLACPY( 'full
', N, NRHS, B, LDA, WORK, LDA )
774 CALL CSYT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK,
775 $ LDA, RWORK, RESULT( 5 ) )
780 CALL CGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
787.GE.
IF( RESULT( K )THRESH ) THEN
788.EQ..AND..EQ.
IF( NFAIL0 NERRS0 )
789 $ CALL ALAHD( NOUT, PATH )
790 WRITE( NOUT, FMT = 9998 )UPLO, N, NRHS,
791 $ IMAT, K, RESULT( K )
805 ANORM = CLANSY( '1
', UPLO, N, A, LDA, RWORK )
807 CALL CSYCON_ROOK( UPLO, N, AFAC, LDA, IWORK, ANORM,
808 $ RCOND, WORK, INFO )
814 $ UPLO, N, N, -1, -1, -1, IMAT,
815 $ NFAIL, NERRS, NOUT )
819 RESULT( 7 ) = SGET06( RCOND, RCONDC )
824.GE.
IF( RESULT( 7 )THRESH ) THEN
825.EQ..AND..EQ.
IF( NFAIL0 NERRS0 )
826 $ CALL ALAHD( NOUT, PATH )
827 WRITE( NOUT, FMT = 9997 )UPLO, N, IMAT, 7,
840 CALL ALASUM( PATH, NOUT, NFAIL, NRUN, NERRS )
842 9999 FORMAT( ' uplo =
''', A1, ''', n =
', I5, ', nb =
', I4, ',
type ',
843 $ I2, ', test
', I2, ', ratio =
', G12.5 )
844 9998 FORMAT( ' uplo =
''', A1, ''', n =
', I5, ', nrhs=
', I3, ',
type ',
845 $ I2, ', test(
', I2, ') =
', G12.5 )
846 9997 FORMAT( ' uplo =
''', A1, ''', n =
', I5, ',
', 10X, ' type ', I2,
847 $ ', test(
', I2, ') =
', G12.5 )