182 INTEGER NMAX, NN, NNB, NNS, NOUT
187 INTEGER IWORK( * ), NBVAL( * ), NSVAL( * ), NVAL( * )
189 COMPLEX A( * ), AFAC( * ), AINV( * ), B( * ),
190 $ WORK( * ), X( * ), XACT( * )
197 parameter( zero = 0.0e+0, one = 1.0e+0 )
199 parameter( onehalf = 0.5e+0 )
201 parameter( eight = 8.0e+0, sevten = 17.0e+0 )
203 parameter( czero = ( 0.0e+0, 0.0e+0 ) )
205 parameter( ntypes = 10 )
207 parameter( ntests = 7 )
210 LOGICAL TRFCON, ZEROT
211 CHARACTER DIST,
TYPE, UPLO, XTYPE
212 CHARACTER*3 PATH, MATPATH
213 INTEGER I, I1, I2, IMAT, IN, INB, INFO, IOFF, IRHS,
214 $ IUPLO, IZERO, J, K, KL, KU, LDA, LWORK, MODE,
215 $ N, NB, NERRS, NFAIL, NIMAT, NRHS, NRUN, NT
216 REAL ALPHA, ANORM, CNDNUM, CONST, SING_MAX,
217 $ SING_MIN, RCOND, RCONDC, STEMP
221 INTEGER ISEED( 4 ), ISEEDY( 4 )
222 REAL RESULT( NTESTS )
223 COMPLEX BLOCK( 2, 2 ), CDUMMY( 1 )
226 REAL CLANGE, CLANHE, SGET06
236 INTRINSIC conjg, max, min, sqrt
244 COMMON / infoc / infot, nunit, ok, lerr
245 COMMON / srnamc / srnamt
248 DATA iseedy / 1988, 1989, 1990, 1991 /
249 DATA uplos /
'U',
'L' /
255 alpha = ( one+sqrt( sevten ) ) / eight
259 path( 1: 1 ) =
'Complex precision'
264 matpath( 1: 1 ) =
'Complex precision'
265 matpath( 2: 3 ) =
'HE'
271 iseed( i ) = iseedy( i )
277 $
CALL cerrhe( path, nout )
299 DO 260 imat = 1, nimat
303 IF( .NOT.dotype( imat ) )
308 zerot = imat.GE.3 .AND. imat.LE.6
309 IF( zerot .AND. n.LT.imat-2 )
315 uplo = uplos( iuplo )
322 CALL clatb4( matpath, imat, n, n,
TYPE, KL, KU, ANORM,
323 $ MODE, CNDNUM, DIST )
328 CALL clatms( n, n, dist, iseed,
TYPE, RWORK, MODE,
329 $ CNDNUM, ANORM, KL, KU, UPLO, A, LDA,
335 CALL alaerh( path,
'CLATMS', info, 0, uplo, n, n,
336 $ -1, -1, -1, imat, nfail, nerrs, nout )
350 ELSE IF( imat.EQ.4 )
THEN
360 IF( iuplo.EQ.1 )
THEN
361 ioff = ( izero-1 )*lda
362 DO 20 i = 1, izero - 1
372 DO 40 i = 1, izero - 1
382 IF( iuplo.EQ.1 )
THEN
429 CALL clacpy( uplo, n, n, a, lda, afac, lda )
436 lwork = max( 2, nb )*lda
437 srnamt =
'CHETRF_ROOK'
447 IF( iwork( k ).LT.0 )
THEN
448 IF( iwork( k ).NE.-k )
THEN
452 ELSE IF( iwork( k ).NE.k )
THEN
461 $
CALL alaerh( path,
'CHETRF_ROOK', info, k,
462 $ uplo, n, n, -1, -1, nb, imat,
463 $ nfail, nerrs, nout )
476 CALL chet01_rook( uplo, n, a, lda, afac, lda, iwork,
477 $ ainv, lda, rwork, result( 1 ) )
486 IF( inb.EQ.1 .AND. .NOT.trfcon )
THEN
487 CALL clacpy( uplo, n, n, afac, lda, ainv, lda )
488 srnamt =
'CHETRI_ROOK'
495 $
CALL alaerh( path,
'CHETRI_ROOK', info, -1,
496 $ uplo, n, n, -1, -1, -1, imat,
497 $ nfail, nerrs, nout )
502 CALL cpot03( uplo, n, a, lda, ainv, lda, work, lda,
503 $ rwork, rcondc, result( 2 ) )
511 IF( result( k ).GE.thresh )
THEN
512 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
513 $
CALL alahd( nout, path )
514 WRITE( nout, fmt = 9999 )uplo, n, nb, imat, k,
527 const = ( ( alpha**2-one ) / ( alpha**2-onehalf ) ) /
530 IF( iuplo.EQ.1 )
THEN
539 IF( iwork( k ).GT.zero )
THEN
544 stemp =
clange(
'M', k-1, 1,
545 $ afac( ( k-1 )*lda+1 ), lda, rwork )
551 stemp =
clange(
'M', k-2, 2,
552 $ afac( ( k-2 )*lda+1 ), lda, rwork )
559 stemp = stemp - const + thresh
560 IF( stemp.GT.result( 3 ) )
561 $ result( 3 ) = stemp
577 IF( iwork( k ).GT.zero )
THEN
582 stemp =
clange(
'M', n-k, 1,
583 $ afac( ( k-1 )*lda+k+1 ), lda, rwork )
589 stemp =
clange(
'M', n-k-1, 2,
590 $ afac( ( k-1 )*lda+k+2 ), lda, rwork )
597 stemp = stemp - const + thresh
598 IF( stemp.GT.result( 3 ) )
599 $ result( 3 ) = stemp
615 const = ( ( alpha**2-one ) / ( alpha**2-onehalf ) )*
616 $ ( ( one + alpha ) / ( one - alpha ) )
617 CALL clacpy( uplo, n, n, afac, lda, ainv, lda )
619 IF( iuplo.EQ.1 )
THEN
628 IF( iwork( k ).LT.zero )
THEN
634 block( 1, 1 ) = afac( ( k-2 )*lda+k-1 )
635 block( 1, 2 ) = afac( (k-1)*lda+k-1 )
636 block( 2, 1 ) = conjg( block( 1, 2 ) )
637 block( 2, 2 ) = afac( (k-1)*lda+k )
639 CALL cgesvd(
'N',
'N', 2, 2, block, 2, rwork,
640 $ cdummy, 1, cdummy, 1,
641 $ work, 6, rwork( 3 ), info )
644 sing_max = rwork( 1 )
645 sing_min = rwork( 2 )
647 stemp = sing_max / sing_min
651 stemp = stemp - const + thresh
652 IF( stemp.GT.result( 4 ) )
653 $ result( 4 ) = stemp
672 IF( iwork( k ).LT.zero )
THEN
678 block( 1, 1 ) = afac( ( k-1 )*lda+k )
679 block( 2, 1 ) = afac( ( k-1 )*lda+k+1 )
680 block( 1, 2 ) = conjg( block( 2, 1 ) )
681 block( 2, 2 ) = afac( k*lda+k+1 )
683 CALL cgesvd(
'N',
'N', 2, 2, block, 2, rwork,
684 $ cdummy, 1, cdummy, 1,
685 $ work, 6, rwork(3), info )
687 sing_max = rwork( 1 )
688 sing_min = rwork( 2 )
690 stemp = sing_max / sing_min
694 stemp = stemp - const + thresh
695 IF( stemp.GT.result( 4 ) )
696 $ result( 4 ) = stemp
711 IF( result( k ).GE.thresh )
THEN
712 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
713 $
CALL alahd( nout, path )
714 WRITE( nout, fmt = 9999 )uplo, n, nb, imat, k,
749 CALL clarhs( matpath, xtype, uplo,
' ', n, n,
750 $ kl, ku, nrhs, a, lda, xact, lda,
751 $ b, lda, iseed, info )
752 CALL clacpy(
'Full', n, nrhs, b, lda, x, lda )
754 srnamt =
'CHETRS_ROOK'
761 $
CALL alaerh( path,
'CHETRS_ROOK', info, 0,
762 $ uplo, n, n, -1, -1, nrhs, imat,
763 $ nfail, nerrs, nout )
765 CALL clacpy(
'Full', n, nrhs, b, lda, work, lda )
769 CALL cpot02( uplo, n, nrhs, a, lda, x, lda, work,
770 $ lda, rwork, result( 5 ) )
775 CALL cget04( n, nrhs, x, lda, xact, lda, rcondc,
782 IF( result( k ).GE.thresh )
THEN
783 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
784 $
CALL alahd( nout, path )
785 WRITE( nout, fmt = 9998 )uplo, n, nrhs,
786 $ imat, k, result( k )
800 anorm =
clanhe(
'1', uplo, n, a, lda, rwork )
801 srnamt =
'CHECON_ROOK'
802 CALL checon_rook( uplo, n, afac, lda, iwork, anorm,
803 $ rcond, work, info )
808 $
CALL alaerh( path,
'CHECON_ROOK', info, 0,
809 $ uplo, n, n, -1, -1, -1, imat,
810 $ nfail, nerrs, nout )
814 result( 7 ) =
sget06( rcond, rcondc )
819 IF( result( 7 ).GE.thresh )
THEN
820 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
821 $
CALL alahd( nout, path )
822 WRITE( nout, fmt = 9997 )uplo, n, imat, 7,
835 CALL alasum( path, nout, nfail, nrun, nerrs )
837 9999
FORMAT(
' UPLO = ''', a1,
''', N =', i5,
', NB =', i4,
', type ',
838 $ i2,
', test ', i2,
', ratio =', g12.5 )
839 9998
FORMAT(
' UPLO = ''', a1,
''', N =', i5,
', NRHS=', i3,
', type ',
840 $ i2,
', test ', i2,
', ratio =', g12.5 )
841 9997
FORMAT(
' UPLO = ''', a1,
''', N =', i5,
',', 10x,
' type ', i2,
842 $
', test ', i2,
', ratio =', g12.5 )