169 $ THRESH, TSTERR, NMAX, A, AFAC, AINV, B, X,
170 $ XACT, WORK, RWORK, IWORK, NOUT )
178 INTEGER NMAX, NN, NNB, NNS, NOUT
183 INTEGER IWORK( * ), NBVAL( * ), NSVAL( * ), NVAL( * )
184 REAL A( * ), AFAC( * ), AINV( * ), B( * ),
185 $ rwork( * ), work( * ), x( * ), xact( * )
192 PARAMETER ( ZERO = 0.0d+0, one = 1.0d+0 )
194 parameter( eight = 8.0d+0, sevten = 17.0d+0 )
196 parameter( ntypes = 10 )
198 parameter( ntests = 7 )
201 LOGICAL TRFCON, ZEROT
202 CHARACTER DIST,
TYPE, UPLO, XTYPE
203 CHARACTER*3 PATH, MATPATH
204 INTEGER I, I1, I2, IMAT, IN, INB, INFO, IOFF, IRHS,
205 $ iuplo, izero, j, k, kl, ku, lda, lwork, mode,
206 $ n, nb, nerrs, nfail, nimat, nrhs, nrun, nt
207 REAL ALPHA, ANORM, CNDNUM, CONST, SING_MAX,
208 $ SING_MIN, RCOND, RCONDC, STEMP
212 INTEGER ISEED( 4 ), ISEEDY( 4 )
213 REAL BLOCK( 2, 2 ), RESULT( NTESTS ), SDUMMY( 1 )
216 REAL SGET06, SLANGE, SLANSY
217 EXTERNAL SGET06, SLANGE, SLANSY
226 INTRINSIC max, min, sqrt
234 COMMON / infoc / infot, nunit, ok, lerr
235 COMMON / srnamc / srnamt
238 DATA iseedy / 1988, 1989, 1990, 1991 /
239 DATA uplos /
'U',
'L' /
245 alpha = ( one+sqrt( sevten ) ) / eight
249 path( 1: 1 ) =
'Single precision'
254 matpath( 1: 1 ) =
'Single precision'
255 matpath( 2: 3 ) =
'SY'
261 iseed( i ) = iseedy( i )
267 $
CALL serrsy( path, nout )
289 DO 260 imat = 1, nimat
293 IF( .NOT.dotype( imat ) )
298 zerot = imat.GE.3 .AND. imat.LE.6
299 IF( zerot .AND. n.LT.imat-2 )
305 uplo = uplos( iuplo )
312 CALL slatb4( matpath, imat, n, n,
TYPE, kl, ku, anorm,
313 $ mode, cndnum, dist )
318 CALL slatms( n, n, dist, iseed,
TYPE, rwork, mode,
319 $ cndnum, anorm, kl, ku, uplo, a, lda, work,
325 CALL alaerh( path,
'SLATMS', info, 0, uplo, n, n, -1,
326 $ -1, -1, imat, nfail, nerrs, nout )
340 ELSE IF( imat.EQ.4 )
THEN
350 IF( iuplo.EQ.1 )
THEN
351 ioff = ( izero-1 )*lda
352 DO 20 i = 1, izero - 1
362 DO 40 i = 1, izero - 1
372 IF( iuplo.EQ.1 )
THEN
419 CALL slacpy( uplo, n, n, a, lda, afac, lda )
426 lwork = max( 2, nb )*lda
427 srnamt =
'SSYTRF_ROOK'
437 IF( iwork( k ).LT.0 )
THEN
438 IF( iwork( k ).NE.-k )
THEN
442 ELSE IF( iwork( k ).NE.k )
THEN
451 $
CALL alaerh( path,
'SSYTRF_ROOK', info, k,
452 $ uplo, n, n, -1, -1, nb, imat,
453 $ nfail, nerrs, nout )
466 CALL ssyt01_rook( uplo, n, a, lda, afac, lda, iwork,
467 $ ainv, lda, rwork, result( 1 ) )
476 IF( inb.EQ.1 .AND. .NOT.trfcon )
THEN
477 CALL slacpy( uplo, n, n, afac, lda, ainv, lda )
478 srnamt =
'SSYTRI_ROOK'
485 $
CALL alaerh( path,
'SSYTRI_ROOK', info, -1,
486 $ uplo, n, n, -1, -1, -1, imat,
487 $ nfail, nerrs, nout )
492 CALL spot03( uplo, n, a, lda, ainv, lda, work, lda,
493 $ rwork, rcondc, result( 2 ) )
501 IF( result( k ).GE.thresh )
THEN
502 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
503 $
CALL alahd( nout, path )
504 WRITE( nout, fmt = 9999 )uplo, n, nb, imat, k,
517 const = one / ( one-alpha )
519 IF( iuplo.EQ.1 )
THEN
528 IF( iwork( k ).GT.zero )
THEN
533 stemp = slange(
'M', k-1, 1,
534 $ afac( ( k-1 )*lda+1 ), lda, rwork )
540 stemp = slange(
'M', k-2, 2,
541 $ afac( ( k-2 )*lda+1 ), lda, rwork )
548 stemp = stemp - const + thresh
549 IF( stemp.GT.result( 3 ) )
550 $ result( 3 ) = stemp
566 IF( iwork( k ).GT.zero )
THEN
571 stemp = slange(
'M', n-k, 1,
572 $ afac( ( k-1 )*lda+k+1 ), lda, rwork )
578 stemp = slange(
'M', n-k-1, 2,
579 $ afac( ( k-1 )*lda+k+2 ), lda, rwork )
586 stemp = stemp - const + thresh
587 IF( stemp.GT.result( 3 ) )
588 $ result( 3 ) = stemp
604 const = ( one+alpha ) / ( one-alpha )
605 CALL slacpy( uplo, n, n, afac, lda, ainv, lda )
607 IF( iuplo.EQ.1 )
THEN
616 IF( iwork( k ).LT.zero )
THEN
622 block( 1, 1 ) = afac( ( k-2 )*lda+k-1 )
623 block( 1, 2 ) = afac( (k-1)*lda+k-1 )
624 block( 2, 1 ) = block( 1, 2 )
625 block( 2, 2 ) = afac( (k-1)*lda+k )
627 CALL sgesvd(
'N',
'N', 2, 2, block, 2, rwork,
628 $ sdummy, 1, sdummy, 1,
632 sing_max = rwork( 1 )
633 sing_min = rwork( 2 )
635 stemp = sing_max / sing_min
639 stemp = stemp - const + thresh
640 IF( stemp.GT.result( 4 ) )
641 $ result( 4 ) = stemp
660 IF( iwork( k ).LT.zero )
THEN
666 block( 1, 1 ) = afac( ( k-1 )*lda+k )
667 block( 2, 1 ) = afac( ( k-1 )*lda+k+1 )
668 block( 1, 2 ) = block( 2, 1 )
669 block( 2, 2 ) = afac( k*lda+k+1 )
671 CALL sgesvd(
'N',
'N', 2, 2, block, 2, rwork,
672 $ sdummy, 1, sdummy, 1,
676 sing_max = rwork( 1 )
677 sing_min = rwork( 2 )
679 stemp = sing_max / sing_min
683 stemp = stemp - const + thresh
684 IF( stemp.GT.result( 4 ) )
685 $ result( 4 ) = stemp
700 IF( result( k ).GE.thresh )
THEN
701 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
702 $
CALL alahd( nout, path )
703 WRITE( nout, fmt = 9999 )uplo, n, nb, imat, k,
735 CALL slarhs( matpath, xtype, uplo,
' ', n, n,
736 $ kl, ku, nrhs, a, lda, xact, lda,
737 $ b, lda, iseed, info )
738 CALL slacpy(
'Full', n, nrhs, b, lda, x, lda )
740 srnamt =
'SSYTRS_ROOK'
747 $
CALL alaerh( path,
'SSYTRS_ROOK', info, 0,
748 $ uplo, n, n, -1, -1, nrhs, imat,
749 $ nfail, nerrs, nout )
751 CALL slacpy(
'Full', n, nrhs, b, lda, work, lda )
755 CALL spot02( uplo, n, nrhs, a, lda, x, lda, work,
756 $ lda, rwork, result( 5 ) )
761 CALL sget04( n, nrhs, x, lda, xact, lda, rcondc,
768 IF( result( k ).GE.thresh )
THEN
769 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
770 $
CALL alahd( nout, path )
771 WRITE( nout, fmt = 9998 )uplo, n, nrhs,
772 $ imat, k, result( k )
786 anorm = slansy(
'1', uplo, n, a, lda, rwork )
787 srnamt =
'SSYCON_ROOK'
788 CALL ssycon_rook( uplo, n, afac, lda, iwork, anorm,
789 $ rcond, work, iwork( n+1 ), info )
794 $
CALL alaerh( path,
'SSYCON_ROOK', info, 0,
795 $ uplo, n, n, -1, -1, -1, imat,
796 $ nfail, nerrs, nout )
800 result( 7 ) = sget06( rcond, rcondc )
805 IF( result( 7 ).GE.thresh )
THEN
806 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
807 $
CALL alahd( nout, path )
808 WRITE( nout, fmt = 9997 )uplo, n, imat, 7,
821 CALL alasum( path, nout, nfail, nrun, nerrs )
823 9999
FORMAT(
' UPLO = ''', a1,
''', N =', i5,
', NB =', i4,
', type ',
824 $ i2,
', test ', i2,
', ratio =', g12.5 )
825 9998
FORMAT(
' UPLO = ''', a1,
''', N =', i5,
', NRHS=', i3,
', type ',
826 $ i2,
', test(', i2,
') =', g12.5 )
827 9997
FORMAT(
' UPLO = ''', a1,
''', N =', i5,
',', 10x,
' type ', i2,
828 $
', test(', i2,
') =', g12.5 )