518 SUBROUTINE ddrvvx( NSIZES, NN, NTYPES, DOTYPE, ISEED, THRESH,
519 $ niunit, nounit, a, lda, h, wr, wi, wr1, wi1,
520 $ vl, ldvl, vr, ldvr, lre, ldlre, rcondv, rcndv1,
521 $ rcdvin, rconde, rcnde1, rcdein, scale, scale1,
522 $ result, work, nwork, iwork, info )
530 INTEGER info, lda, ldlre, ldvl, ldvr, niunit, nounit,
531 $ nsizes, ntypes, nwork
532 DOUBLE PRECISION thresh
536 INTEGER iseed( 4 ), iwork( * ), nn( * )
537 DOUBLE PRECISION a( lda, * ), h( lda, * ), lre( ldlre, * ),
538 $ rcdein( * ), rcdvin( * ), rcnde1( * ),
539 $ rcndv1( * ), rconde( * ), rcondv( * ),
540 $ result( 11 ), scale( * ), scale1( * ),
541 $ vl( ldvl, * ), vr( ldvr, * ), wi( * ),
542 $ wi1( * ), work( * ), wr( * ), wr1( * )
548 DOUBLE PRECISION zero, one
549 parameter( zero = 0.0d0, one = 1.0d0 )
551 parameter( maxtyp = 21 )
557 INTEGER i, ibal, iinfo, imode, itype, iwk, j, jcol,
558 $ jsize, jtype, mtypes, n, nerrs, nfail, nmax,
559 $ nnwork, ntest, ntestf, ntestt
560 DOUBLE PRECISION anorm, cond, conds, ovfl, rtulp, rtulpi, ulp,
564 CHARACTER adumma( 1 ), bal( 4 )
565 INTEGER idumma( 1 ), ioldsd( 4 ), kconds( maxtyp ),
566 $ kmagn( maxtyp ), kmode( maxtyp ),
578 INTRINSIC abs, max, min, sqrt
581 DATA ktype / 1, 2, 3, 5*4, 4*6, 6*6, 3*9 /
582 DATA kmagn / 3*1, 1, 1, 1, 2, 3, 4*1, 1, 1, 1, 1, 2,
584 DATA kmode / 3*0, 4, 3, 1, 4, 4, 4, 3, 1, 5, 4, 3,
585 $ 1, 5, 5, 5, 4, 3, 1 /
586 DATA kconds / 3*0, 5*0, 4*1, 6*2, 3*0 /
587 DATA bal /
'N',
'P',
'S',
'B' /
591 path( 1: 1 ) =
'Double precision'
609 nmax = max( nmax, nn( j ) )
616 IF( nsizes.LT.0 )
THEN
618 ELSE IF( badnn )
THEN
620 ELSE IF( ntypes.LT.0 )
THEN
622 ELSE IF( thresh.LT.zero )
THEN
624 ELSE IF( lda.LT.1 .OR. lda.LT.nmax )
THEN
626 ELSE IF( ldvl.LT.1 .OR. ldvl.LT.nmax )
THEN
628 ELSE IF( ldvr.LT.1 .OR. ldvr.LT.nmax )
THEN
630 ELSE IF( ldlre.LT.1 .OR. ldlre.LT.nmax )
THEN
632 ELSE IF( 6*nmax+2*nmax**2.GT.nwork )
THEN
637 CALL
xerbla(
'DDRVVX', -info )
643 IF( nsizes.EQ.0 .OR. ntypes.EQ.0 )
648 unfl =
dlamch(
'Safe minimum' )
651 ulp =
dlamch(
'Precision' )
660 DO 150 jsize = 1, nsizes
662 IF( nsizes.NE.1 )
THEN
663 mtypes = min( maxtyp, ntypes )
665 mtypes = min( maxtyp+1, ntypes )
668 DO 140 jtype = 1, mtypes
669 IF( .NOT.dotype( jtype ) )
675 ioldsd( j ) = iseed( j )
694 IF( mtypes.GT.maxtyp )
697 itype = ktype( jtype )
698 imode = kmode( jtype )
702 go to( 30, 40, 50 )kmagn( jtype )
718 CALL
dlaset(
'Full', lda, n, zero, zero, a, lda )
726 IF( itype.EQ.1 )
THEN
729 ELSE IF( itype.EQ.2 )
THEN
734 a( jcol, jcol ) = anorm
737 ELSE IF( itype.EQ.3 )
THEN
742 a( jcol, jcol ) = anorm
744 $ a( jcol, jcol-1 ) = one
747 ELSE IF( itype.EQ.4 )
THEN
751 CALL
dlatms( n, n,
'S', iseed,
'S', work, imode, cond,
752 $ anorm, 0, 0,
'N', a, lda, work( n+1 ),
755 ELSE IF( itype.EQ.5 )
THEN
759 CALL
dlatms( n, n,
'S', iseed,
'S', work, imode, cond,
760 $ anorm, n, n,
'N', a, lda, work( n+1 ),
763 ELSE IF( itype.EQ.6 )
THEN
767 IF( kconds( jtype ).EQ.1 )
THEN
769 ELSE IF( kconds( jtype ).EQ.2 )
THEN
776 CALL
dlatme( n,
'S', iseed, work, imode, cond, one,
777 $ adumma,
'T',
'T',
'T', work( n+1 ), 4,
778 $ conds, n, n, anorm, a, lda, work( 2*n+1 ),
781 ELSE IF( itype.EQ.7 )
THEN
785 CALL
dlatmr( n, n,
'S', iseed,
'S', work, 6, one, one,
786 $
'T',
'N', work( n+1 ), 1, one,
787 $ work( 2*n+1 ), 1, one,
'N', idumma, 0, 0,
788 $ zero, anorm,
'NO', a, lda, iwork, iinfo )
790 ELSE IF( itype.EQ.8 )
THEN
794 CALL
dlatmr( n, n,
'S', iseed,
'S', work, 6, one, one,
795 $
'T',
'N', work( n+1 ), 1, one,
796 $ work( 2*n+1 ), 1, one,
'N', idumma, n, n,
797 $ zero, anorm,
'NO', a, lda, iwork, iinfo )
799 ELSE IF( itype.EQ.9 )
THEN
803 CALL
dlatmr( n, n,
'S', iseed,
'N', work, 6, one, one,
804 $
'T',
'N', work( n+1 ), 1, one,
805 $ work( 2*n+1 ), 1, one,
'N', idumma, n, n,
806 $ zero, anorm,
'NO', a, lda, iwork, iinfo )
808 CALL
dlaset(
'Full', 2, n, zero, zero, a, lda )
809 CALL
dlaset(
'Full', n-3, 1, zero, zero, a( 3, 1 ),
811 CALL
dlaset(
'Full', n-3, 2, zero, zero, a( 3, n-1 ),
813 CALL
dlaset(
'Full', 1, n, zero, zero, a( n, 1 ),
817 ELSE IF( itype.EQ.10 )
THEN
821 CALL
dlatmr( n, n,
'S', iseed,
'N', work, 6, one, one,
822 $
'T',
'N', work( n+1 ), 1, one,
823 $ work( 2*n+1 ), 1, one,
'N', idumma, n, 0,
824 $ zero, anorm,
'NO', a, lda, iwork, iinfo )
831 IF( iinfo.NE.0 )
THEN
832 WRITE( nounit, fmt = 9992 )
'Generator', iinfo, n, jtype,
845 ELSE IF( iwk.EQ.2 )
THEN
848 nnwork = 6*n + 2*n**2
850 nnwork = max( nnwork, 1 )
859 CALL
dget23( .false., balanc, jtype, thresh, ioldsd,
860 $ nounit, n, a, lda, h, wr, wi, wr1, wi1,
861 $ vl, ldvl, vr, ldvr, lre, ldlre, rcondv,
862 $ rcndv1, rcdvin, rconde, rcnde1, rcdein,
863 $ scale, scale1, result, work, nnwork,
871 IF( result( j ).GE.zero )
873 IF( result( j ).GE.thresh )
878 $ ntestf = ntestf + 1
879 IF( ntestf.EQ.1 )
THEN
880 WRITE( nounit, fmt = 9999 )path
881 WRITE( nounit, fmt = 9998 )
882 WRITE( nounit, fmt = 9997 )
883 WRITE( nounit, fmt = 9996 )
884 WRITE( nounit, fmt = 9995 )thresh
889 IF( result( j ).GE.thresh )
THEN
890 WRITE( nounit, fmt = 9994 )balanc, n, iwk,
891 $ ioldsd, jtype, j, result( j )
895 nerrs = nerrs + nfail
896 ntestt = ntestt + ntest
911 READ( niunit, fmt = *,
END = 220 )n
920 READ( niunit, fmt = * )( a( i, j ), j = 1, n )
923 READ( niunit, fmt = * )wr1( i ), wi1( i ), rcdein( i ),
926 CALL
dget23( .true.,
'N', 22, thresh, iseed, nounit, n, a, lda, h,
927 $ wr, wi, wr1, wi1, vl, ldvl, vr, ldvr, lre, ldlre,
928 $ rcondv, rcndv1, rcdvin, rconde, rcnde1, rcdein,
929 $ scale, scale1, result, work, 6*n+2*n**2, iwork,
937 IF( result( j ).GE.zero )
939 IF( result( j ).GE.thresh )
944 $ ntestf = ntestf + 1
945 IF( ntestf.EQ.1 )
THEN
946 WRITE( nounit, fmt = 9999 )path
947 WRITE( nounit, fmt = 9998 )
948 WRITE( nounit, fmt = 9997 )
949 WRITE( nounit, fmt = 9996 )
950 WRITE( nounit, fmt = 9995 )thresh
955 IF( result( j ).GE.thresh )
THEN
956 WRITE( nounit, fmt = 9993 )n, jtype, j, result( j )
960 nerrs = nerrs + nfail
961 ntestt = ntestt + ntest
967 CALL
dlasum( path, nounit, nerrs, ntestt )
969 9999 format( / 1x, a3,
' -- Real Eigenvalue-Eigenvector Decomposition',
970 $
' Expert Driver', /
971 $
' Matrix types (see DDRVVX for details): ' )
973 9998 format( /
' Special Matrices:', /
' 1=Zero matrix. ',
974 $
' ',
' 5=Diagonal: geometr. spaced entries.',
975 $ /
' 2=Identity matrix. ',
' 6=Diagona',
976 $
'l: clustered entries.', /
' 3=Transposed Jordan block. ',
977 $
' ',
' 7=Diagonal: large, evenly spaced.', /
' ',
978 $
'4=Diagonal: evenly spaced entries. ',
' 8=Diagonal: s',
979 $
'mall, evenly spaced.' )
980 9997 format(
' Dense, Non-Symmetric Matrices:', /
' 9=Well-cond., ev',
981 $
'enly spaced eigenvals.',
' 14=Ill-cond., geomet. spaced e',
982 $
'igenals.', /
' 10=Well-cond., geom. spaced eigenvals. ',
983 $
' 15=Ill-conditioned, clustered e.vals.', /
' 11=Well-cond',
984 $
'itioned, clustered e.vals. ',
' 16=Ill-cond., random comp',
985 $
'lex ', /
' 12=Well-cond., random complex ',
' ',
986 $
' 17=Ill-cond., large rand. complx ', /
' 13=Ill-condi',
987 $
'tioned, evenly spaced. ',
' 18=Ill-cond., small rand.',
989 9996 format(
' 19=Matrix with random O(1) entries. ',
' 21=Matrix ',
990 $
'with small random entries.', /
' 20=Matrix with large ran',
991 $
'dom entries. ',
' 22=Matrix read from input file', / )
992 9995 format(
' Tests performed with test threshold =', f8.2,
993 $ / /
' 1 = | A VR - VR W | / ( n |A| ulp ) ',
994 $ /
' 2 = | transpose(A) VL - VL W | / ( n |A| ulp ) ',
995 $ /
' 3 = | |VR(i)| - 1 | / ulp ',
996 $ /
' 4 = | |VL(i)| - 1 | / ulp ',
997 $ /
' 5 = 0 if W same no matter if VR or VL computed,',
998 $
' 1/ulp otherwise', /
999 $
' 6 = 0 if VR same no matter what else computed,',
1000 $
' 1/ulp otherwise', /
1001 $
' 7 = 0 if VL same no matter what else computed,',
1002 $
' 1/ulp otherwise', /
1003 $
' 8 = 0 if RCONDV same no matter what else computed,',
1004 $
' 1/ulp otherwise', /
1005 $
' 9 = 0 if SCALE, ILO, IHI, ABNRM same no matter what else',
1006 $
' computed, 1/ulp otherwise',
1007 $ /
' 10 = | RCONDV - RCONDV(precomputed) | / cond(RCONDV),',
1008 $ /
' 11 = | RCONDE - RCONDE(precomputed) | / cond(RCONDE),' )
1009 9994 format(
' BALANC=''', a1,
''',N=', i4,
',IWK=', i1,
', seed=',
1010 $ 4( i4,
',' ),
' type ', i2,
', test(', i2,
')=', g10.3 )
1011 9993 format(
' N=', i5,
', input example =', i3,
', test(', i2,
')=',
1013 9992 format(
' DDRVVX: ', a,
' returned INFO=', i6,
'.', / 9x,
'N=',
1014 $ i6,
', JTYPE=', i6,
', ISEED=(', 3( i5,
',' ), i5,
')' )