PROGRAM LA_SSBGVX_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 => SP USE F95_LAPACK, ONLY: LA_SBGVX ! .. IMPLICIT STATEMENT .. IMPLICIT NONE ! .. PARAMETERS .. CHARACTER(LEN=*), PARAMETER :: FMT = '(8(1X,F10.3))' INTEGER, PARAMETER :: NIN=5, NOUT=6 ! .. LOCAL SCALARS .. CHARACTER(LEN=1) :: UPLO INTEGER :: I, J, INFO, N, KA, KB, M, IL, IU REAL(WP) :: VL, VU ! .. LOCAL ARRAYS .. INTEGER, ALLOCATABLE :: IFAIL(:) REAL(WP), ALLOCATABLE :: AA(:,:), BB(:,:), W(:) REAL(WP), ALLOCATABLE :: A(:,:), B(:,:), Z(:,:), DUMMY(:,:), Q(:,:) ! .. EXECUTABLE STATEMENTS .. WRITE (NOUT,*) 'SSBGVX ET_Example Program Results.' READ ( NIN, * ) ! SKIP HEADING IN DATA FILE READ ( NIN, * ) N, KA, KB PRINT *, 'N = ', N, ' KA = ', KA, ' KB = ', KB ALLOCATE ( A(KA+1,N), AA(KA+1,N), B(KB+1,N), BB(KB+1,N), W(N), Z(N,N) ) ALLOCATE (IFAIL(N), Q(N,N)) ! VL = -10.0; VU=10.0; IL=1; IU=N; UPLO = 'U' AA = HUGE(1.0_WP); BB = HUGE(1.0_WP) DO I = 1, KA+1; READ (NIN, *) (AA(I, J), J = KA-I+2, N); ENDDO DO I = 1, KB+1; READ (NIN, *) (BB(I, J), J = KB-I+2, N); ENDDO A=AA; B=BB WRITE(NOUT,*) 'The matrix A:' DO I = 1, KA+1; WRITE (NOUT,*) 'I = ', I; WRITE (NOUT,FMT) AA(I,:); ENDDO WRITE(NOUT,*) 'The matrix B:' DO I = 1, KB+1; WRITE (NOUT,*) 'I = ', I; WRITE (NOUT,FMT) BB(I,:); ENDDO ! WRITE ( NOUT, * )'---------------------------------------------------------' WRITE ( NOUT, * ) WRITE ( NOUT, * )'Details of LA_SSBGVX LAPACK Subroutine Results.' WRITE ( NOUT, * ) ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBGVX( A, B, W, ''U'', Z, INFO )' A=AA; B=BB CALL LA_SBGVX( A, B, W, UPLO, 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 ! UPLO = 'U' WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBGVX( A, B, W, ''U'', Z )' A=AA; B=BB CALL LA_SBGVX( A, B, W, UPLO, 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_SBGVX( A, B, W, Z=Z )' A=AA; B=BB CALL LA_SBGVX( A, B, W, Z=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_SBGVX( A, B, W, ''L'', Z, INFO=INFO )' A=AA; B=BB; W = HUGE(1.0_WP); Z = HUGE(1.0_WP) CALL LA_SBGVX( A, B, W, UPLO, 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_SBGVX( A, B, W )' A=AA; B=BB; Z = HUGE(1.0_WP) CALL LA_SBGVX( A, B, W ) WRITE(NOUT,*) ' EIGENVALUES:' WRITE(NOUT,FMT) W ! STARTING THE ERROR TESTS: ! ERROR 1 WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBGVX( DUMMY, B, W, INFO=INFO )' A=AA; B=BB; Z = HUGE(1.0_WP) CALL LA_SBGVX( DUMMY, B, W, INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! ERROR 2 WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBGVX( A, DUMMY, W, INFO=INFO )' A=AA; B=BB; Z = HUGE(1.0_WP) CALL LA_SBGVX( A, DUMMY, W, INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! ERROR 3 WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBGVX( A, B, W(1:N-1), INFO=INFO )' A=AA; B=BB; Z = HUGE(1.0_WP) CALL LA_SBGVX( A, B, W(1:N-1), INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! ERROR 4 UPLO = '9' WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBGVX( A, B, W, UPLO=''9'', INFO=INFO )' A=AA; B=BB; Z = HUGE(1.0_WP) CALL LA_SBGVX( A, B, W, UPLO, INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! ERROR 5 WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBGVX( A, B, W, UPLO, Z(:, 1:N-1), INFO=INFO )' A=AA; B=BB; Z = HUGE(1.0_WP) CALL LA_SBGVX( A, B, W, UPLO, Z(:, 1:N-1), INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! ERROR 5 WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBGVX( A, B, W, UPLO, Z(1:N-1,:), INFO=INFO )' A=AA; B=BB; Z = HUGE(1.0_WP) CALL LA_SBGVX( A, B, W, UPLO, Z(1:N-1,:), INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! ERROR 6 VL = 10.0; VU = -10.0 WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBGVX( A, B, W, UPLO, Z, VL, VU, M, IFAIL, Q, INFO=INFO )' A=AA; B=BB; Z = HUGE(1.0_WP) CALL LA_SBGVX( A, B, W, UPLO, Z, VL, VU, M=M, IFAIL=IFAIL, Q=Q, INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! ERROR 7 IL = 1; IU = N; VL=-10.0; VU=10.0 WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBGVX( A, B, W, UPLO, Z, VL, VU, IL, IU, M, IFAIL, Q, INFO=INFO )' A=AA; B=BB; Z = HUGE(1.0_WP) CALL LA_SBGVX( A, B, W, UPLO, Z, VL, VU, IL, IU, M, IFAIL, Q, INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO IU=N; IL=1 ! ERROR 8 IL = -1; IU = N+1 WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBGVX( A, B, W, UPLO, Z, IL=IL, IU=IU, M=M, IFAIL=IFAIL, Q=Q, INFO=INFO )' A=AA; B=BB; Z = HUGE(1.0_WP) CALL LA_SBGVX( A, B, W, UPLO, Z, IL=IL, IU=IU, M=M, IFAIL=IFAIL, Q=Q, INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO IU=N; IL=1 ! ERROR 9 IU = N+1 WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBGVX( A, B, W, UPLO, Z, IL=IL, IU=IU, M=M, IFAIL=IFAIL, Q=Q, INFO=INFO )' A=AA; B=BB; Z = HUGE(1.0_WP) CALL LA_SBGVX( A, B, W, UPLO, Z, IL=IL, IU=IU, M=M, IFAIL=IFAIL, Q=Q, INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO IU=N ! ERROR 10 WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBGVX( A, B, W, UPLO, Z, VL, VU, M=M, IFAIL=IFAIL(1:N-1), Q=Q, INFO=INFO )' A=AA; B=BB; Z = HUGE(1.0_WP) CALL LA_SBGVX( A, B, W, UPLO, Z, VL, VU, M=M, IFAIL=IFAIL(1:N-1), Q=Q, INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! ERROR 10 UPLO= 'L' WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBGVX( A, B, W, UPLO, VL=VL, VU=VU, M=M, IFAIL=IFAIL, Q=Q, INFO=INFO )' A=AA; B=BB; Z = HUGE(1.0_WP) CALL LA_SBGVX( A, B, W, UPLO, VL=VL, VU=VU, M=M, IFAIL=IFAIL, Q=Q, INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! ERROR 11 WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBGVX( A, B, W, UPLO, Z, VL, VU, M=M, IFAIL=IFAIL, Q=Q(1:N-1,:), INFO=INFO )' A=AA; B=BB; Z = HUGE(1.0_WP) CALL LA_SBGVX( A, B, W, UPLO, Z, VL, VU, M=M, IFAIL=IFAIL, Q=Q(1:N-1,:), INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! ERROR 11 WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBGVX( A, B, W, UPLO, Z, VL, VU, M=M, IFAIL=IFAIL, Q=Q(:,1:N-1), INFO=INFO )' A=AA; B=BB; Z = HUGE(1.0_WP) CALL LA_SBGVX( A, B, W, UPLO, Z, VL, VU, M=M, IFAIL=IFAIL, Q=Q(:,1:N-1), INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! ERROR 11 WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBGVX( A, B, W, UPLO, VL=VL, VU=VU, M=M, IFAIL=IFAIL, Q=Q, INFO=INFO )' A=AA; B=BB; Z = HUGE(1.0_WP) CALL LA_SBGVX( A, B, W, UPLO, VL=VL, VU=VU, M=M, IFAIL=IFAIL, Q=Q, INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! END PROGRAM LA_SSBGVX_ET_EXAMPLE