PROGRAM LA_CPBSVX_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_PBSVX ! .. IMPLICIT STATEMENT .. IMPLICIT NONE ! .. PARAMETERS .. CHARACTER(LEN=*), PARAMETER :: FMT = '(4(1X,1H(,F7.3,1H,,F7.3,1H):))' INTEGER, PARAMETER :: NIN=5, NOUT=6 ! .. LOCAL SCALARS .. CHARACTER(LEN=1) :: EQU INTEGER :: I, J, K, INFO, N, NRHS, KD REAL(WP) :: RCOND ! .. LOCAL ARRAYS .. COMPLEX(WP), ALLOCATABLE :: A(:,:), B(:,:), X(:,:), AF(:,:) REAL(WP), ALLOCATABLE :: AA(:,:), BB(:,:), S(:), FERR(:), BERR(:) ! .. EXECUTABLE STATEMENTS .. WRITE (NOUT,*) 'CPBSVX ET_Example Program Results.' READ ( NIN, * ) ! SKIP HEADING IN DATA FILE READ ( NIN, * ) N, KD, NRHS PRINT *, 'N = ', N, ' NRHS = ', NRHS ALLOCATE ( A(KD+1,N), AA(KD+1,N), B(N,NRHS), BB(N,NRHS), X(N,NRHS), AF(KD+1,N), & S(N), FERR(NRHS), BERR(NRHS) ) ! AA = HUGE(1.0_WP) DO I = 1, KD+1 READ (NIN, *) (AA(I, J), J = KD-I+2, N) ENDDO ! DO J = 1, NRHS ! BB(:,J) = SUM( AA, DIM=2)*J ! ENDDO B = 0.0_WP DO K = 1, NRHS DO I = 1, N DO J = MAX(1,-N+I+KD+1), KD ! PRINT *, K, I, J, I-J+KD+1, AA(J,I-J+KD+1) BB(I,K) = AA(J,I-J+KD+1) + BB(I,K) ENDDO DO J = MAX(1,KD+2-I), KD+1 BB(I,K) = AA(J,I) + BB(I,K) ! PRINT *, K, I, J, AA(J,I) ENDDO ENDDO BB(:,K) = BB(:,K)*K ENDDO A=AA; B=BB WRITE(NOUT,*) 'The matrix A:' DO I = 1, KD+1 WRITE (NOUT,*) 'I = ', I; WRITE (NOUT,FMT) AA(I,1:N) ENDDO WRITE(NOUT,*) 'The RHS matrix B:' DO J = 1, NRHS WRITE (NOUT,*) 'RHS', J; WRITE (NOUT,FMT) BB(:,J) ENDDO ! WRITE ( NOUT, * )'---------------------------------------------------------' WRITE ( NOUT, * ) WRITE ( NOUT, * )'Details of LA_CPBSVX LAPACK Subroutine Results.' WRITE ( NOUT, * ) ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_PBSVX( A, B, X, INFO=INFO )' A=AA; B=BB CALL LA_PBSVX( A, B, X, INFO=INFO ) WRITE(NOUT,*)' X - the solution vectors computed by LA_PBSVX, INFO = ', INFO DO J = 1, NRHS; WRITE (NOUT,FMT) X(:,J); END DO WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_PBSVX( A, B(1:N,1), X(1:N,1), RCOND=RCOND, INFO=INFO )' A=AA; B=BB CALL LA_PBSVX( A, B(1:N,1), X(1:N,1), RCOND=RCOND, INFO=INFO ) WRITE(NOUT,*)' X - the solution vectors computed by LA_PBSVX, INFO = ', INFO WRITE (NOUT,FMT) X(:,1) WRITE(NOUT,*) 'RCOND = ', RCOND ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_PBSVX( A, B, X )' A=AA; B=BB CALL LA_PBSVX( A, B, X ) WRITE(NOUT,*)' X - the solution vectors computed by LA_PBSVX:' DO J = 1, NRHS; WRITE (NOUT,FMT) X(:,J); END DO WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_PBSVX(A, B(1:N,1), X(1:N,1) )' A=AA; B=BB CALL LA_PBSVX(A, B(1:N,1), X(1:N,1) ) WRITE(NOUT,*)' X - the solution vectors computed by LA_PBSVX:' WRITE (NOUT,FMT) X(:,1) ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_PBSVX(A, B, X, ''L'', RCOND=RCOND)' B=BB; A = HUGE(1.0_WP) 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_PBSVX( A, B, X, 'L', RCOND=RCOND) WRITE(NOUT,*)' X - the solution vectors computed by LA_PBSVX:' DO J = 1, NRHS; WRITE (NOUT,FMT) X(:,J); END DO WRITE(NOUT,*) 'RCOND = ', RCOND WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_PBSVX( A, B(1:N,1), X(1:N,1), ''L'', RCOND=RCOND )' B=BB; A = HUGE(1.0_WP) DO I = 1, KD+1; A(I,1:N-I+1) = AA(KD+2-I,I:N); ENDDO CALL LA_PBSVX( A, B(1:N,1), X(1:N,1), 'L', RCOND=RCOND ) WRITE(NOUT,*)' X - the solution vectors computed by LA_PBSVX:' WRITE (NOUT,FMT) X(1:N,1) WRITE(NOUT,*) 'RCOND = ', RCOND ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_PBSVX(A(:,:), B(1:N-1,:), X, INFO =INFO )' A=AA; B=BB; X=HUGE(1.0_WP) CALL LA_PBSVX( A(:,:), B(1:N-1,:), X, INFO=INFO) WRITE(NOUT,*)' INFO = ', INFO WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_PBSVX( A(4:4), B(1:N,1), X(1:N,1), INFO=INFO )' A=AA; B=BB; X=HUGE(1.0_WP) CALL LA_PBSVX( A(4:4,:), B(1:N,1), X(1:N,1), INFO=INFO ) WRITE(NOUT,*)' B - the RHS vector.' WRITE (NOUT,FMT) B(1:N,1) WRITE(NOUT,*)' INFO = ', INFO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_PBSVX(A, B, X, FACT=''F'', INFO =INFO )' A=AA; B=BB; X=HUGE(1.0_WP) CALL LA_PBSVX( A, B, X, FACT='F', INFO=INFO) WRITE(NOUT,*)' INFO = ', INFO WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_PBSVX( A, B(1:N,1), X(1:N,1), FACT=''4'', INFO=INFO )' A=AA; B=BB; X=HUGE(1.0_WP) CALL LA_PBSVX( A, B(1:N,1), X(1:N,1), FACT='4', INFO=INFO ) WRITE(NOUT,*)' INFO = ', INFO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_PPSVX(A, B, X, ''U'', AF, ''N'', EQU, S, FERR, BERR, RCOND, INFO)' A=AA; B=BB; X=HUGE(1.0_WP); EQU = 'N' CALL LA_PBSVX(A, B, X, 'U', AF, 'N', EQU, S, FERR, BERR, RCOND, INFO) WRITE(NOUT,*)' X - the solution vectors computed by LA_PPSVX, INFO = ', INFO DO J = 1, NRHS; WRITE (NOUT,FMT) X(:,J); END DO WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_PPSVX(A, B(1:N,1), X(1:N,1), ''U'', AF, ''N'', EQU, S, ', & 'FERR, BERR, RCOND, INFO) ' A=AA; B=BB; X=HUGE(1.0_WP); EQU = 'N' CALL LA_PBSVX(A, B(1:N,1), X(1:N,1), 'U', AF, 'N', EQU, S, FERR(1), BERR(1), RCOND, INFO) WRITE(NOUT,*)' X - the solution vectors computed by LA_PPSVX, INFO = ', INFO WRITE (NOUT,FMT) X(1:N,1) ! END PROGRAM LA_CPBSVX_ET_EXAMPLE