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* MB04TB/MB04WR EXAMPLE PROGRAM TEXT
*
* .. Parameters ..
DOUBLE PRECISION ZERO, ONE
PARAMETER ( ZERO = 0.0D0, ONE = 1.0D0 )
INTEGER NIN, NOUT
PARAMETER ( NIN = 5, NOUT = 6 )
INTEGER NBMAX, NMAX
PARAMETER ( NBMAX = 64, NMAX = 421 )
INTEGER LDA, LDB, LDG, LDQ, LDRES, LDU1, LDU2, LDV1,
$ LDV2, LDWORK
PARAMETER ( LDA = NMAX, LDB = NMAX, LDG = NMAX, LDQ = NMAX,
$ LDRES = NMAX, LDU1 = NMAX, LDU2 = NMAX,
$ LDV1 = NMAX, LDV2 = NMAX,
$ LDWORK = NBMAX*( 16*NMAX + 1 ) )
* .. Local Scalars ..
CHARACTER*1 TRANA, TRANB, TRANV1
INTEGER I, INFO, J, N
DOUBLE PRECISION TEMP
* .. Local Arrays ..
DOUBLE PRECISION A(LDA, NMAX), B(LDB, NMAX), CSL(2*NMAX),
$ CSR(2*NMAX), DWORK(LDWORK), G(LDG, NMAX),
$ Q(LDQ, NMAX), RES(LDRES,5*NMAX), TAUL(NMAX),
$ TAUR(NMAX), U1(LDU1, NMAX), U2(LDU2, NMAX),
$ V1(LDV1, NMAX), V2(LDV2, NMAX)
* .. External Functions ..
* .. External Functions ..
LOGICAL LSAME
DOUBLE PRECISION DLANGE, DLAPY2, MA02JD
EXTERNAL DLANGE, DLAPY2, LSAME, MA02JD
* .. External Subroutines ..
EXTERNAL DGEMM, DLACPY, DLASET, MB04TB, MB04WR
* .. Executable Statements ..
WRITE ( NOUT, FMT = 99999 )
* Skip the heading in the data file and read the data.
READ ( NIN, FMT = '()' )
READ ( NIN, FMT = * ) N, TRANA, TRANB
IF( N.LE.0 .OR. N.GT.NMAX ) THEN
WRITE ( NOUT, FMT = 99992 ) N
ELSE
READ ( NIN, FMT = * ) ( ( A(I,J), J = 1,N ), I = 1,N )
CALL DLACPY( 'All', N, N, A, LDA, RES, LDRES )
READ ( NIN, FMT = * ) ( ( B(I,J), J = 1,N ), I = 1,N )
CALL DLACPY( 'All', N, N, B, LDB, RES(1,N+1), LDRES )
READ ( NIN, FMT = * ) ( ( G(I,J), J = 1,N ), I = 1,N )
CALL DLACPY( 'All', N, N, G, LDG, RES(1,2*N+1), LDRES )
READ ( NIN, FMT = * ) ( ( Q(I,J), J = 1,N ), I = 1,N )
CALL DLACPY( 'All', N, N, Q, LDQ, RES(1,3*N+1), LDRES )
CALL MB04TB( TRANA, TRANB, N, 1, A, LDA, B, LDB, G, LDG, Q,
$ LDQ, CSL, CSR, TAUL, TAUR, DWORK, LDWORK, INFO )
IF ( INFO.NE.0 ) THEN
WRITE ( NOUT, FMT = 99998 ) INFO
ELSE
CALL DLACPY( 'All', N, N, A, LDA, U1, LDU1 )
CALL DLACPY( 'All', N, N, Q, LDQ, U2, LDU2 )
CALL MB04WR( 'U', TRANA, N, 1, U1, LDU1, U2, LDU2, CSL,
$ TAUL, DWORK, LDWORK, INFO )
IF ( INFO.NE.0 ) THEN
WRITE ( NOUT, FMT = 99997 ) INFO
ELSE
CALL DLACPY( 'All', N, N, Q, LDQ, V2, LDV2 )
CALL DLACPY( 'All', N, N, B, LDB, V1, LDV1 )
CALL MB04WR( 'V', TRANB, N, 1, V1, LDV1, V2, LDV2,
$ CSR, TAUR, DWORK, LDWORK, INFO )
IF ( INFO.NE.0 ) THEN
WRITE ( NOUT, FMT = 99997 ) INFO
ELSE
WRITE ( NOUT, FMT = 99996 )
IF ( LSAME( TRANA, 'N' ) ) THEN
DO 10 I = 1, N
WRITE (NOUT, FMT = 99993)
$ ( U1(I,J), J = 1,N ), ( U2(I,J), J = 1,N )
10 CONTINUE
DO 20 I = 1, N
WRITE (NOUT, FMT = 99993)
$ ( -U2(I,J), J = 1,N ), ( U1(I,J), J = 1,N )
20 CONTINUE
WRITE ( NOUT, FMT = 99991 ) MA02JD( .FALSE.,
$ .FALSE., N, U1, LDU1, U2, LDU2,
$ RES(1,4*N+1), LDRES )
ELSE
DO 30 I = 1, N
WRITE (NOUT, FMT = 99993)
$ ( U1(J,I), J = 1,N ), ( U2(I,J), J = 1,N )
30 CONTINUE
DO 40 I = 1, N
WRITE (NOUT, FMT = 99993)
$ ( -U2(I,J), J = 1,N ), ( U1(J,I), J = 1,N )
40 CONTINUE
WRITE ( NOUT, FMT = 99991 ) MA02JD( .TRUE.,
$ .FALSE., N, U1, LDU1, U2, LDU2,
$ RES(1,4*N+1), LDRES )
END IF
WRITE ( NOUT, FMT = 99995 )
CALL DLASET( 'All', N, N, ZERO, ZERO, Q, LDQ )
IF ( LSAME( TRANA, 'N' ) ) THEN
CALL DLASET( 'Lower', N-1, N-1, ZERO, ZERO,
$ A(2,1), LDA )
DO 50 I = 1, N
WRITE (NOUT, FMT = 99993)
$ ( A(I,J), J = 1,N ), ( G(I,J), J = 1,N )
50 CONTINUE
ELSE
CALL DLASET( 'Upper', N-1, N-1, ZERO, ZERO,
$ A(1,2), LDA )
DO 60 I = 1, N
WRITE (NOUT, FMT = 99993)
$ ( A(J,I), J = 1,N ), ( G(I,J), J = 1,N )
60 CONTINUE
END IF
IF ( LSAME( TRANB, 'N' ) ) THEN
IF ( N.GT.1 ) THEN
CALL DLASET( 'Upper', N-2, N-2, ZERO, ZERO,
$ B(1,3), LDB )
END IF
DO 70 I = 1, N
WRITE (NOUT, FMT = 99993)
$ ( Q(I,J), J = 1,N ), ( B(I,J), J = 1,N )
70 CONTINUE
ELSE
IF ( N.GT.1 ) THEN
C CALL DLASET( 'Lower', N-2, N-2, ZERO, ZERO,
C $ B(3,1), LDB )
END IF
DO 80 I = 1, N
WRITE (NOUT, FMT = 99993)
$ ( Q(I,J), J = 1,N ), ( B(J,I), J = 1,N )
80 CONTINUE
END IF
C
IF ( LSAME( TRANB, 'N' ) ) THEN
TRANV1 = 'T'
ELSE
TRANV1 = 'N'
END IF
CALL DGEMM( TRANA, TRANV1, N, N, N, ONE, RES, LDRES,
$ V1, LDV1, ZERO, RES(1,4*N+1), LDRES )
CALL DGEMM( 'No Transpose', 'Transpose', N, N, N,
$ -ONE, RES(1,2*N+1), LDRES, V2, LDV2, ONE,
$ RES(1,4*N+1), LDRES )
CALL DGEMM( TRANA, TRANA, N, N, N, -ONE, U1, LDU1,
$ A, LDA, ONE, RES(1,4*N+1), LDRES )
TEMP = DLANGE( 'Frobenius', N, N, RES(1,4*N+1),
$ LDRES, DWORK )
CALL DGEMM( TRANA, 'Transpose', N, N, N, ONE, RES,
$ LDRES, V2, LDV2, ZERO, RES(1,4*N+1),
$ LDRES )
CALL DGEMM( 'No Transpose', TRANV1, N, N, N, ONE,
$ RES(1,2*N+1), LDRES, V1, LDV1, ONE,
$ RES(1,4*N+1), LDRES )
CALL DGEMM( TRANA, 'No Transpose', N, N, N, -ONE,
$ U1, LDU1, G, LDG, ONE, RES(1,4*N+1),
$ LDRES )
CALL DGEMM( 'No Transpose', TRANB, N, N, N, -ONE,
$ U2, LDU2, B, LDB, ONE, RES(1,4*N+1),
$ LDRES )
TEMP = DLAPY2( TEMP, DLANGE( 'Frobenius', N, N,
$ RES(1,4*N+1), LDRES, DWORK ) )
CALL DGEMM( 'No Transpose', TRANV1, N, N, N, ONE,
$ RES(1,3*N+1), LDRES, V1, LDV1, ZERO,
$ RES(1,4*N+1), LDRES )
CALL DGEMM( TRANB, 'Transpose', N, N, N, -ONE,
$ RES(1,N+1), LDRES, V2, LDV2, ONE,
$ RES(1,4*N+1), LDRES )
CALL DGEMM( 'No Transpose', TRANA, N, N, N, ONE,
$ U2, LDU2, A, LDA, ONE, RES(1,4*N+1),
$ LDRES )
TEMP = DLAPY2( TEMP, DLANGE( 'Frobenius', N, N,
$ RES(1,4*N+1), LDRES, DWORK ) )
CALL DGEMM( 'No Transpose', 'Transpose', N, N, N, ONE,
$ RES(1,3*N+1), LDRES, V2, LDV2, ZERO,
$ RES(1,4*N+1), LDRES )
CALL DGEMM( TRANB, TRANV1, N, N, N, ONE, RES(1,N+1),
$ LDRES, V1, LDV1, ONE, RES(1,4*N+1),
$ LDRES )
CALL DGEMM( 'No Transpose', 'No Transpose', N, N, N,
$ ONE, U2, LDU2, G, LDG, ONE, RES(1,4*N+1),
$ LDRES )
CALL DGEMM( TRANA, TRANB, N, N, N, -ONE, U1, LDU1,
$ B, LDB, ONE, RES(1,4*N+1), LDRES )
TEMP = DLAPY2( TEMP, DLANGE( 'Frobenius', N, N,
$ RES(1,4*N+1), LDRES, DWORK ) )
WRITE ( NOUT, FMT = 99990 ) TEMP
C
WRITE ( NOUT, FMT = 99994 )
IF ( LSAME( TRANB, 'N' ) ) THEN
DO 90 I = 1, N
WRITE (NOUT, FMT = 99993)
$ ( V1(J,I), J = 1,N ), ( V2(J,I), J = 1,N )
90 CONTINUE
DO 100 I = 1, N
WRITE (NOUT, FMT = 99993)
$ ( -V2(J,I), J = 1,N ), ( V1(J,I), J = 1,N )
100 CONTINUE
WRITE ( NOUT, FMT = 99989 ) MA02JD( .TRUE.,
$ .TRUE., N, V1, LDV1, V2, LDV2,
$ RES(1,4*N+1), LDRES )
ELSE
DO 110 I = 1, N
WRITE (NOUT, FMT = 99993)
$ ( V1(I,J), J = 1,N ), ( V2(J,I), J = 1,N )
110 CONTINUE
DO 120 I = 1, N
WRITE (NOUT, FMT = 99993)
$ ( -V2(J,I), J = 1,N ), ( V1(I,J), J = 1,N )
120 CONTINUE
WRITE ( NOUT, FMT = 99989 ) MA02JD( .FALSE.,
$ .TRUE., N, V1, LDV1, V2, LDV2,
$ RES(1,4*N+1), LDRES )
END IF
END IF
END IF
END IF
END IF
*
STOP
*
99999 FORMAT (' MB04TB EXAMPLE PROGRAM RESULTS',/1X)
99998 FORMAT (' INFO on exit from MB04TB = ',I2)
99997 FORMAT (' INFO on exit from MB04WR = ',I2)
99996 FORMAT (' The orthogonal symplectic factor U is ')
99995 FORMAT (/' The factor R is ')
99994 FORMAT (/' The orthogonal symplectic factor V is ')
99993 FORMAT (20(1X,F9.4))
99992 FORMAT (/' N is out of range.',/' N = ',I5)
99991 FORMAT (/' Orthogonality of U: || U^T U - I ||_F = ',G7.2)
99990 FORMAT (/' Residual: || H*V - U*R ||_F = ',G7.2)
99989 FORMAT (/' Orthogonality of V: || V^T V - I ||_F = ',G7.2)
END
|
