@extract -b incpath.inc @extract -b @(incd)/type.inc type=@(@type) @ROUT sbgvd @type sreal dreal scplx dcplx PROGRAM LA_@(pre)SBGVD_ET_EXAMPLE @type sherm dherm PROGRAM LA_@(pre)HBGVD_ET_EXAMPLE @type ! @extract -b @(incd)/header.inc -case0 ! .. USE STATEMENTS USE LA_PRECISION, ONLY: WP => @(upr)P @type sreal dreal scplx dcplx USE F90_LAPACK, ONLY: LA_SBGVD @type sherm dherm USE F90_LAPACK, ONLY: LA_HBGVD @type ! ! .. IMPLICIT STATEMENT .. IMPLICIT NONE ! .. PARAMETERS .. @type sreal dreal CHARACTER(LEN=*), PARAMETER :: FMT = '(8(1X,F10.3))' @type scplx dcplx sherm dherm CHARACTER(LEN=*), PARAMETER :: FMT = '(4(1X,1H(,F7.3,1H,,F7.3,1H):))' @type ! INTEGER, PARAMETER :: NIN=5, NOUT=6 ! .. LOCAL SCALARS .. INTEGER :: I, J, INFO, N, KA, KB ! .. LOCAL ARRAYS .. REAL(WP), ALLOCATABLE :: AA(:,:), BB(:,:), W(:) @(type)(WP), ALLOCATABLE :: A(:,:), B(:,:), Z(:,:), DUMMY(:,:) ! .. EXECUTABLE STATEMENTS .. @type sreal dreal scplx dcplx WRITE (NOUT,*) '@(pre)SBGVD 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) ) ! 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_@(pre)SBGVD LAPACK Subroutine Results.' WRITE ( NOUT, * ) ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBGVD( A, B, W, ''U'', Z, INFO )' A=AA; B=BB CALL LA_SBGVD( A, B, W, 'U', Z, 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_SBGVD( A, B, W, ''U'', Z )' A=AA; B=BB CALL LA_SBGVD( A, B, 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_SBGVD( A, B, W, Z=Z )' A=AA; B=BB CALL LA_SBGVD( 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_SBGVD( A, B, W, UPLO=''L'', Z=Z, INFO=INFO )' A=AA; B=BB; W = HUGE(1.0_WP); Z = HUGE(1.0_WP) CALL LA_SBGVD( A, B, W, UPLO='L', 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_SBGVD( A, B, W )' A=AA; B=BB; Z = HUGE(1.0_WP) CALL LA_SBGVD( A, B, W ) WRITE(NOUT,*) ' EIGENVALUES:' WRITE(NOUT,FMT) W ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBGVD( DUMMY, B, W, INFO=INFO )' A=AA; B=BB; Z = HUGE(1.0_WP) CALL LA_SBGVD( DUMMY, B, W, INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBGVD( A, B(:,1:N-1), W, INFO=INFO )' A=AA; B=BB; Z = HUGE(1.0_WP) CALL LA_SBGVD( A, B(:,1:N-1), W, INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBGVD( A, B, W(1:N-1), INFO=INFO )' A=AA; B=BB; Z = HUGE(1.0_WP) CALL LA_SBGVD( A, B, W(1:N-1), INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBGVD( A, B, W, UPLO=''9'', INFO=INFO )' A=AA; B=BB; Z = HUGE(1.0_WP) CALL LA_SBGVD( A, B, W, UPLO='9', INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBGVD( A, B, W, Z=Z(1:N-1,:), INFO=INFO )' A=AA; B=BB; Z = HUGE(1.0_WP) CALL LA_SBGVD( A, B, W, Z=Z(1:N-1,:), INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SBGVD( A, B, W, Z=Z(:,1:N-1) )' A=AA; B=BB; Z = HUGE(1.0_WP) CALL LA_SBGVD( A, B, W, Z=Z(:,1:N-1) ) ! END PROGRAM LA_@(pre)SBGVD_ET_EXAMPLE @type sherm dherm WRITE (NOUT,*) '@(pre)HBGVD 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) ) ! 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_@(pre)HBGVD LAPACK Subroutine Results.' WRITE ( NOUT, * ) ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_HBGVD( A, B, W, ''U'', Z, INFO )' A=AA; B=BB CALL LA_HBGVD( A, B, W, 'U', Z, 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_HBGVD( A, B, W, ''U'', Z )' A=AA; B=BB CALL LA_HBGVD( A, B, 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_HBGVD( A, B, W, Z=Z )' A=AA; B=BB CALL LA_HBGVD( 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_HBGVD( A, B, W, UPLO=''L'', Z=Z, INFO=INFO )' A=AA; B=BB; W = HUGE(1.0_WP); Z = HUGE(1.0_WP) CALL LA_HBGVD( A, B, W, UPLO='L', 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_HBGVD( A, B, W )' A=AA; B=BB; Z = HUGE(1.0_WP) CALL LA_HBGVD( A, B, W ) WRITE(NOUT,*) ' EIGENVALUES:' WRITE(NOUT,FMT) W ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_HBGVD( DUMMY, B, W, INFO=INFO )' A=AA; B=BB; Z = HUGE(1.0_WP) CALL LA_HBGVD( DUMMY, B, W, INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_HBGVD( A, B(:,1:N-1), W, INFO=INFO )' A=AA; B=BB; Z = HUGE(1.0_WP) CALL LA_HBGVD( A, B(:,1:N-1), W, INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_HBGVD( A, B, W(1:N-1), INFO=INFO )' A=AA; B=BB; Z = HUGE(1.0_WP) CALL LA_HBGVD( A, B, W(1:N-1), INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_HBGVD( A, B, W, UPLO=''9'', INFO=INFO )' A=AA; B=BB; Z = HUGE(1.0_WP) CALL LA_HBGVD( A, B, W, UPLO='9', INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_HBGVD( A, B, W, Z=Z(1:N-1,:), INFO=INFO )' A=AA; B=BB; Z = HUGE(1.0_WP) CALL LA_HBGVD( A, B, W, Z=Z(1:N-1,:), INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_HBGVD( A, B, W, Z=Z(:,1:N-1) )' A=AA; B=BB; Z = HUGE(1.0_WP) CALL LA_HBGVD( A, B, W, Z=Z(:,1:N-1) ) ! END PROGRAM LA_@(pre)HBGVD_ET_EXAMPLE @type !