@extract -b incpath.inc @extract -b @(incd)/typeh.inc type=@(@type) @ROUT spsvx @type sreal dreal scplx dcplx PROGRAM LA_@(pre)SPSVX_ET_EXAMPLE @type sherm dherm PROGRAM LA_@(pre)HPSVX_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_SPSVX @type sherm dherm USE F90_LAPACK, ONLY: LA_HPSVX @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, K, INFO, N, NN, NRHS ! .. Local Arrays .. REAL(WP) :: RCOND INTEGER, ALLOCATABLE :: IPIV(:) @(type)(WP), ALLOCATABLE :: A(:), B(:,:), X(:,:), AF(:) REAL(WP), ALLOCATABLE :: AA(:), BB(:,:), FERR(:), BERR(:) ! .. Executable Statements .. @type sreal dreal scplx dcplx WRITE (NOUT,*) '@(pre)SPSVX ET_Example Program Results.' @type sherm dherm WRITE (NOUT,*) '@(pre)HPSVX ET_Example Program Results.' @type ! READ ( NIN, * ) ! Skip heading in data file READ ( NIN, * ) N, NRHS PRINT *, 'N = ', N, ' NRHS = ', NRHS NN = N*(N+1)/2 ALLOCATE ( A(NN), AA(NN), B(N,NRHS), BB(N,NRHS), IPIV(N), X(N,NRHS), AF(NN), & FERR(NRHS), BERR(NRHS) ) ! READ (NIN, *) AA BB = 0.0_WP DO K = 1, NRHS DO I = 1, N DO J = 1, I BB(J,K) = BB(J,K) + AA(J+(I-1)*I/2) IF ( J /= I ) BB(I,K) = BB(I,K) + AA(J+(I-1)*I/2) ENDDO ENDDO BB(:,K) = BB(:,K)*K ENDDO A=AA; B=BB WRITE(NOUT,*) 'The matrix A:' DO I = 1, N WRITE (NOUT,*) 'J = ', I; WRITE (NOUT,FMT) (A(J+(I-1)*I/2),J=1,I) ENDDO WRITE(NOUT,*) 'The RHS matrix B:' DO J = 1, NRHS WRITE (NOUT,*) 'RHS', J; WRITE (NOUT,FMT) B(:,J) ENDDO @type sreal dreal scplx dcplx ! WRITE ( NOUT, * )'---------------------------------------------------------' WRITE ( NOUT, * ) WRITE ( NOUT, * )'Details of LA_@(pre)SPSVX LAPACK Subroutine Results.' WRITE ( NOUT, * ) ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SPSVX( A, B, X, afp=AF, IPIV=IPIV, INFO=INFO )' A=AA; B=BB CALL LA_SPSVX( A, B, X, afp=AF, IPIV=IPIV, INFO=INFO ) WRITE(NOUT,*)' X - the solution vectors computed by LA_SPSVX, INFO = ', INFO DO J = 1, NRHS; WRITE (NOUT,FMT) X(:,J); END DO WRITE(NOUT,*) 'Pivots: ', IPIV WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SPSVX( A, B(1:N,1), X(1:N,1), afp=AF, IPIV=IPIV, INFO=INFO )' A=AA; B=BB CALL LA_SPSVX( A, B(1:N,1), X(1:N,1), afp=AF, IPIV=IPIV, INFO=INFO ) WRITE(NOUT,*)' X - the solution vectors computed by LA_SPSVX, INFO = ', INFO WRITE (NOUT,FMT) X(:,1) WRITE(NOUT,*) 'Pivots: ', IPIV ! WRITE(NOUT,*)' X - the solution vectors computed by LA_SPSVX:' WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SPSVX( A, B, X )' A=AA; B=BB CALL LA_SPSVX( A, B, X ) WRITE(NOUT,*)' X - the solution vectors computed by LA_SPSVX:' DO J = 1, NRHS; WRITE (NOUT,FMT) X(:,J); END DO WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SPSVX(A, B(1:N,1), X(1:N,1) )' A=AA; B=BB CALL LA_SPSVX(A, B(1:N,1), X(1:N,1) ) WRITE(NOUT,*)' X - the solution vectors computed by LA_SPSVX:' WRITE (NOUT,FMT) X(:,1) ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SPSVX(A, B, X, IPIV=IPIV)' A=AA; B=BB CALL LA_SPSVX( A, B, X, IPIV=IPIV) WRITE(NOUT,*)' X - the solution vectors computed by LA_SPSVX:' DO J = 1, NRHS; WRITE (NOUT,FMT) X(:,J); END DO WRITE(NOUT,*) 'Pivots: ', IPIV WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SPSVX( A, B(1:N,1), X(1:N,1), IPIV=IPIV )' A=AA; B=BB CALL LA_SPSVX( A, B(1:N,1), X(1:N,1), IPIV=IPIV ) WRITE(NOUT,*)' X - the solution vectors computed by LA_SPSVX:' WRITE (NOUT,FMT) X(1:N,1) WRITE(NOUT,*) 'Pivots: ', IPIV ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SPSVX(A(4:4), B, X, INFO =INFO )' A=AA; B=BB; X=HUGE(1.0_WP) CALL LA_SPSVX( A(4:4), B, X, INFO=INFO) WRITE(NOUT,*)' X - the solution vectors computed by LA_SPSVX, INFO = ', INFO DO J = 1, NRHS; WRITE (NOUT,FMT) X(:,J); END DO WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SPSVX( A, B(1:N,1), X(1:N-1,1), INFO=INFO )' A=AA; B=BB; X=HUGE(1.0_WP) CALL LA_SPSVX( A, B(1:N,1), X(1:N-1,1), INFO=INFO ) WRITE(NOUT,*)' X - the solution vectors computed by LA_SPSVX, INFO = ', INFO WRITE (NOUT,FMT) X(1:N,1) ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SPSVX(A, B, X, ''L'', INFO =INFO )' DO I = 1,N; DO J = I, N A(J+(I-1)*(2*N-I)/2) = AA(I+J*(J-1)/2) ENDDO; ENDDO B=BB; X=HUGE(1.0_WP) CALL LA_SPSVX( A, B, X, 'L', INFO=INFO) WRITE(NOUT,*)' X - the solution vectors computed by LA_SPSVX, INFO = ', INFO DO J = 1, NRHS; WRITE (NOUT,FMT) X(:,J); END DO WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SPSVX( A, B(1:N,1), X(1:N,1), FACT=''F'', INFO=INFO )' A=AA; B=BB; X=HUGE(1.0_WP) CALL LA_SPSVX( A, B(1:N,1), X(1:N,1), FACT='F', INFO=INFO ) WRITE(NOUT,*)' X - the solution vectors computed by LA_SPSVX, INFO = ', INFO WRITE (NOUT,FMT) X(1:N,1) ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SPSVX(A, B, X, ''U'', AF, IPIV, ''N'', ', & 'FERR, BERR, RCOND, INFO )' A=AA; B=BB; X=HUGE(1.0_WP) CALL LA_SPSVX(A, B, X, 'U', AF, IPIV, 'N', FERR, BERR, RCOND, INFO ) WRITE(NOUT,*)' X - the solution vectors computed by LA_SPSVX, INFO = ', INFO DO J = 1, NRHS; WRITE (NOUT,FMT) X(:,J); END DO WRITE(NOUT,*) 'RCOND = ', RCOND WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_SPSVX(A, B(1:N,1), X(1:N,1), ''U'', AF, IPIV, ''F'', ', & 'FERR, BERR, &' WRITE(NOUT,*) ' RCOND, INFO )' A=AA; B=BB; X=HUGE(1.0_WP) CALL LA_SPSVX(A, B(1:N,1), X(1:N,1), 'U', AF, IPIV, 'F', & FERR(1), BERR(1), RCOND, INFO ) WRITE(NOUT,*)' X - the solution vectors computed by LA_SPSVX, INFO = ', INFO WRITE (NOUT,FMT) X(1:N,1) WRITE(NOUT,*) 'RCOND = ', RCOND ! END PROGRAM LA_@(pre)SPSVX_ET_EXAMPLE @type sherm dherm ! WRITE ( NOUT, * )'---------------------------------------------------------' WRITE ( NOUT, * ) WRITE ( NOUT, * )'Details of LA_@(pre)HPSVX LAPACK Subroutine Results.' WRITE ( NOUT, * ) ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_HPSVX( A, B, X, afp=AF, IPIV=IPIV, INFO=INFO )' A=AA; B=BB CALL LA_HPSVX( A, B, X, afp=AF, IPIV=IPIV, INFO=INFO ) WRITE(NOUT,*)' X - the solution vectors computed by LA_HPSVX, INFO = ', INFO DO J = 1, NRHS; WRITE (NOUT,FMT) X(:,J); END DO WRITE(NOUT,*) 'Pivots: ', IPIV WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_HPSVX( A, B(1:N,1), X(1:N,1), afp=AF, IPIV=IPIV, INFO=INFO )' A=AA; B=BB CALL LA_HPSVX( A, B(1:N,1), X(1:N,1), afp=AF, IPIV=IPIV, INFO=INFO ) WRITE(NOUT,*)' X - the solution vectors computed by LA_HPSVX, INFO = ', INFO WRITE (NOUT,FMT) X(:,1) WRITE(NOUT,*) 'Pivots: ', IPIV ! WRITE(NOUT,*)' X - the solution vectors computed by LA_HPSVX:' WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_HPSVX( A, B, X )' A=AA; B=BB CALL LA_HPSVX( A, B, X ) WRITE(NOUT,*)' X - the solution vectors computed by LA_HPSVX:' DO J = 1, NRHS; WRITE (NOUT,FMT) X(:,J); END DO WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_HPSVX(A, B(1:N,1), X(1:N,1) )' A=AA; B=BB CALL LA_HPSVX(A, B(1:N,1), X(1:N,1) ) WRITE(NOUT,*)' X - the solution vectors computed by LA_HPSVX:' WRITE (NOUT,FMT) X(:,1) ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_HPSVX(A, B, X, IPIV=IPIV)' A=AA; B=BB CALL LA_HPSVX( A, B, X, IPIV=IPIV) WRITE(NOUT,*)' X - the solution vectors computed by LA_HPSVX:' DO J = 1, NRHS; WRITE (NOUT,FMT) X(:,J); END DO WRITE(NOUT,*) 'Pivots: ', IPIV WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_HPSVX( A, B(1:N,1), X(1:N,1), IPIV=IPIV )' A=AA; B=BB CALL LA_HPSVX( A, B(1:N,1), X(1:N,1), IPIV=IPIV ) WRITE(NOUT,*)' X - the solution vectors computed by LA_HPSVX:' WRITE (NOUT,FMT) X(1:N,1) WRITE(NOUT,*) 'Pivots: ', IPIV ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_HPSVX(A(4:4), B, X, INFO =INFO )' A=AA; B=BB; X=HUGE(1.0_WP) CALL LA_HPSVX( A(4:4), B, X, INFO=INFO) WRITE(NOUT,*)' X - the solution vectors computed by LA_HPSVX, INFO = ', INFO DO J = 1, NRHS; WRITE (NOUT,FMT) X(:,J); END DO WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_HPSVX( A, B(1:N,1), X(1:N-1,1), INFO=INFO )' A=AA; B=BB; X=HUGE(1.0_WP) CALL LA_HPSVX( A, B(1:N,1), X(1:N-1,1), INFO=INFO ) WRITE(NOUT,*)' X - the solution vectors computed by LA_HPSVX, INFO = ', INFO WRITE (NOUT,FMT) X(1:N,1) ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_HPSVX(A, B, X, ''L'', INFO =INFO )' DO I = 1,N; DO J = I, N A(J+(I-1)*(2*N-I)/2) = AA(I+J*(J-1)/2) ENDDO; ENDDO B=BB; X=HUGE(1.0_WP) CALL LA_HPSVX( A, B, X, 'L', INFO=INFO) WRITE(NOUT,*)' X - the solution vectors computed by LA_HPSVX, INFO = ', INFO DO J = 1, NRHS; WRITE (NOUT,FMT) X(:,J); END DO WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_HPSVX( A, B(1:N,1), X(1:N,1), FACT=''F'', INFO=INFO )' A=AA; B=BB; X=HUGE(1.0_WP) CALL LA_HPSVX( A, B(1:N,1), X(1:N,1), FACT='F', INFO=INFO ) WRITE(NOUT,*)' X - the solution vectors computed by LA_HPSVX, INFO = ', INFO WRITE (NOUT,FMT) X(1:N,1) ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_HPSVX(A, B, X, ''U'', AF, IPIV, ''N'', ', & 'FERR, BERR, RCOND, INFO )' A=AA; B=BB; X=HUGE(1.0_WP) CALL LA_HPSVX(A, B, X, 'U', AF, IPIV, 'N', FERR, BERR, RCOND, INFO ) WRITE(NOUT,*)' X - the solution vectors computed by LA_HPSVX, INFO = ', INFO DO J = 1, NRHS; WRITE (NOUT,FMT) X(:,J); END DO WRITE(NOUT,*) 'RCOND = ', RCOND WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_HPSVX(A, B(1:N,1), X(1:N,1), ''U'', AF, IPIV, ''F'', ', & 'FERR, BERR, &' WRITE(NOUT,*) ' RCOND, INFO )' A=AA; B=BB; X=HUGE(1.0_WP) CALL LA_HPSVX(A, B(1:N,1), X(1:N,1), 'U', AF, IPIV, 'F', & FERR(1), BERR(1), RCOND, INFO ) WRITE(NOUT,*)' X - the solution vectors computed by LA_HPSVX, INFO = ', INFO WRITE (NOUT,FMT) X(1:N,1) WRITE(NOUT,*) 'RCOND = ', RCOND ! END PROGRAM LA_@(pre)HPSVX_ET_EXAMPLE @type !