PROGRAM LA_DSBEVX_ET_EXAMPLE ! ! -- LAPACK95 interface driver routine (version 3.0) -- ! UNI-C, Denmark; Univ. of Tennessee, USA; NAG Ltd., UK ! September, 2000 ! ! .. USE STATEMENTS USE LA_PRECISION, ONLY: WP => DP USE F95_LAPACK, ONLY: LA_SBEVX ! .. IMPLICIT STATEMENT .. IMPLICIT NONE ! .. PARAMETERS .. CHARACTER(LEN=*), PARAMETER :: FMT = '(8(1X,F10.3))' INTEGER, PARAMETER :: NIN=5, NOUT=6 ! .. LOCAL SCALARS .. INTEGER :: I, J, INFO, N, KD, M ! .. LOCAL ARRAYS .. INTEGER, ALLOCATABLE :: IFAIL(:) REAL(WP), ALLOCATABLE :: AA(:,:), W(:) REAL(WP), ALLOCATABLE :: A(:,:), Z(:,:), Q(:,:) ! .. EXECUTABLE STATEMENTS .. WRITE (NOUT,*) 'DSBEVX ET_Example Program Results.' READ ( NIN, * ) ! SKIP HEADING IN DATA FILE READ ( NIN, * ) N, KD PRINT *, 'N = ', N, ' KD = ', KD ALLOCATE ( A(KD+1,N), AA(KD+1,N), W(N), Z(N,N), IFAIL(N), Q(N,N) ) ! AA = HUGE(1.0_WP) DO I = 1, KD+1 READ (NIN, *) (AA(I, J), J = KD-I+2, N) ENDDO A=AA WRITE(NOUT,*) 'The matrix A:' DO I = 1, KD+1 WRITE (NOUT,*) 'I = ', I; WRITE (NOUT,FMT) A(I,1:N) ENDDO ! WRITE ( NOUT, * )'---------------------------------------------------------' WRITE ( NOUT, * ) WRITE ( NOUT, * )'Details of LA_DSBEVX LAPACK Subroutine Results.' WRITE ( NOUT, * ) ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBEVX( A, W, INFO=INFO )' A=AA CALL LA_SBEVX( A, W, INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO, ' EIGENVALUES:' WRITE(NOUT,FMT) W ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBEVX( A, W, Z=Z, INFO=INFO )' A=AA CALL LA_SBEVX( A, W, Z=Z, INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO, ' EIGENVALUES:' WRITE(NOUT,FMT) W WRITE(NOUT,*) 'EIGENVECTORS:' DO I = 1, N; WRITE(NOUT,*) 'I = ', I; WRITE (NOUT,FMT) Z(:,I); END DO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBEVX( A, W, ''U'', Z )' A=AA CALL LA_SBEVX( A, W, 'U', Z ) WRITE(NOUT,*) ' EIGENVALUES:' WRITE(NOUT,FMT) W WRITE(NOUT,*) 'EIGENVECTORS:' DO I = 1, N; WRITE(NOUT,*) 'I = ', I; WRITE (NOUT,FMT) Z(:,I); END DO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBEVX( A, W, ''L'', Z )' A = HUGE(1.0_WP) WRITE(NOUT,*) 'The transpose matrix of A:' DO I = 1, KD+1 A(I,1:N-I+1) = AA(KD+2-I,I:N) WRITE (NOUT,*) 'I = ', I; WRITE (NOUT,FMT) A(I,1:N) ENDDO CALL LA_SBEVX( A, W, 'L', Z ) WRITE(NOUT,*) ' EIGENVALUES:' WRITE(NOUT,FMT) W WRITE(NOUT,*) 'EIGENVECTORS:' DO I = 1, N; WRITE(NOUT,*) 'I = ', I; WRITE (NOUT,FMT) Z(:,I); END DO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBEVX( A, W, VL=3.0_WP, M=M, INFO=INFO )' A=AA CALL LA_SBEVX( A, W, VL=3.0_WP, M=M, INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO, ' EIGENVALUES:' WRITE(NOUT,*) 'The total number of eigenvalues found is ', M WRITE(NOUT,FMT) W(1:M) ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBEVX( A, W, ''U'', Z, -HUGE(1.0_WP), HUGE(1.0_WP), &' WRITE(NOUT,*) ' M=M, IFAIL=IFAIL, Q=Q, ABSTOL=2*EPSILON(1.0_WP), INFO=INFO )' A=AA; M=99999; IFAIL = 99999; Z = HUGE(1.0_WP); W = HUGE(1.0_WP) CALL LA_SBEVX( A, W, 'U', Z, -HUGE(1.0_WP), HUGE(1.0_WP), & M=M, IFAIL=IFAIL, Q=Q, ABSTOL=2*EPSILON(1.0_WP), INFO=INFO ) WRITE(NOUT,*) 'M, INFO, EIGENVALUES:', M, INFO WRITE(NOUT,FMT) W WRITE(NOUT,*) 'EIGENVECTORS:' DO I = 1, N; WRITE(NOUT,*) 'I = ', I; WRITE (NOUT,FMT) Z(:,I); END DO WRITE(NOUT,*) 'IFAIL:'; WRITE (NOUT,*) IFAIL WRITE(NOUT,*) 'Matrix Q:' DO I = 1, N; WRITE(NOUT,*) 'I = ', I; WRITE (NOUT,FMT) Q(:,I); END DO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBEVX( A, W, ''U'', Z, IL=1, IU=N, M=M, IFAIL=IFAIL, &' WRITE(NOUT,*) ' Q=Q, ABSTOL= 2*EPSILON(1.0_WP), INFO=INFO )' A=AA; M=99999; IFAIL = 99999; Z = HUGE(1.0_WP); W = HUGE(1.0_WP) CALL LA_SBEVX( A, W, 'U', Z, IL=1, IU=N, M=M, IFAIL=IFAIL, & Q=Q, ABSTOL=2*EPSILON(1.0_WP), INFO=INFO ) WRITE(NOUT,*) 'M, INFO, EIGENVALUES:', M, INFO WRITE(NOUT,FMT) W WRITE(NOUT,*) 'EIGENVECTORS:' DO I = 1, N; WRITE(NOUT,*) 'I = ', I; WRITE (NOUT,FMT) Z(:,I); END DO WRITE(NOUT,*) 'IFAIL:'; WRITE (NOUT,*) IFAIL WRITE(NOUT,*) 'Matrix Q:' DO I = 1, N; WRITE(NOUT,*) 'I = ', I; WRITE (NOUT,FMT) Q(:,I); END DO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBEVX( A(:,1:N-1), W, INFO=INFO )' A=AA; Z = HUGE(1.0_WP) CALL LA_SBEVX( A(:,1:N-1), W, INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBEVX( A, W(1:N-1), INFO=INFO )' A=AA; Z = HUGE(1.0_WP) CALL LA_SBEVX( A, W(1:N-1), INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBEVX( A, W, UPLO=''9'', INFO=INFO )' A=AA; Z = HUGE(1.0_WP) CALL LA_SBEVX( A, W, UPLO='9', INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBEVX( A, W, Z=Z(1:N-1,:), INFO=INFO )' A=AA; Z = HUGE(1.0_WP) CALL LA_SBEVX( A, W, Z=Z(1:N-1,:), INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBEVX( A, W, Z=Z(:,1:N-1), INFO=INFO )' A=AA; Z = HUGE(1.0_WP) CALL LA_SBEVX( A, W, Z=Z(:,1:N-1), INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBEVX( A, W, VL=10.0_WP, VU=1.0_WP, INFO=INFO )' A=AA; Z = HUGE(1.0_WP) CALL LA_SBEVX( A, W, VL=10.0_WP, VU=1.0_WP, INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBEVX( A, W, VL=1.0_WP, VU=2.0_WP, IL=1, INFO=INFO )' A=AA; Z = HUGE(1.0_WP) CALL LA_SBEVX( A, W, VL=1.0_WP, VU=2.0_WP, IL=1, INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBEVX( A, W, IL=-1, INFO=INFO )' A=AA; Z = HUGE(1.0_WP) CALL LA_SBEVX( A, W, IL=-1, INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBEVX( A, W, IL=N, IU=1, INFO=INFO )' A=AA; Z = HUGE(1.0_WP) CALL LA_SBEVX( A, W, IL=N, IU=1, INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBEVX( A, W, IL=1, IU=N+1, INFO=INFO )' A=AA; Z = HUGE(1.0_WP) CALL LA_SBEVX( A, W, IL=1, IU=N+1, INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBEVX( A, W, IFAIL=IFAIL(1:N-1), INFO=INFO )' A=AA; Z = HUGE(1.0_WP) CALL LA_SBEVX( A, W, IFAIL=IFAIL(1:N-1), INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBEVX( A, W, IFAIL=IFAIL, INFO=INFO )' A=AA; Z = HUGE(1.0_WP) CALL LA_SBEVX( A, W, IFAIL=IFAIL, INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBEVX( A, W, Q=Q(:,1:N-1), INFO=INFO )' A=AA; Z = HUGE(1.0_WP) CALL LA_SBEVX( A, W, Q=Q(:,1:N-1), INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBEVX( A, W, Q=Q(1:N-1,:), INFO=INFO )' A=AA; Z = HUGE(1.0_WP) CALL LA_SBEVX( A, W, Q=Q(1:N-1,:), INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBEVX( A, W, Q=Q )' A=AA; Z = HUGE(1.0_WP) CALL LA_SBEVX( A, W, Q=Q ) WRITE(NOUT,*) 'INFO = ', INFO ! END!PROGRAM LA_DSBEVX_ET_EXAMPLE