@extract -b incpath.inc @extract -b @(incd)/type.inc type=@(@type) @ROUT GESVX PROGRAM LA_@(pre)GESVX_ET_EXAMPLE @extract -b @(incd)/header.inc ! .. Use Statements USE LA_PRECISION, ONLY: WP => @(upr)P USE F90_LAPACK, ONLY: LA_GESVX, LA_GETRF ! .. Implicit Statement .. IMPLICIT NONE ! .. Parameters .. @type sreal dreal CHARACTER(LEN=*), PARAMETER :: FMT = '(8(1X,F10.3))' @type scplx dcplx CHARACTER(LEN=*), PARAMETER :: FMT = '(4(1X,1H(,F9.3,1H,,F9.3,1H):))' @type ! INTEGER, PARAMETER :: NIN=5, NOUT=6 ! .. Local Scalars .. CHARACTER(LEN=1) :: EQUED INTEGER :: I, J, INFO, N, NRHS REAL(WP) :: RPVGRW, RCOND, BERR1, FERR1 ! .. Local Arrays .. INTEGER, ALLOCATABLE :: IPIV(:) REAL(WP), ALLOCATABLE :: AA(:,:), BB(:,:), FERR(:), BERR(:), R(:), C(:) @(type)(WP), ALLOCATABLE :: A(:,:), B(:,:), AF(:,:), X(:,:), B1(:), X1(:) ! .. Executable Statements .. WRITE (NOUT,*) 'GESVX ET_Example Program Results.' READ ( NIN, * ) ! Skip heading in data file READ ( NIN, * ) N, NRHS ALLOCATE ( IPIV(N), A(N,N), B(N,NRHS), AA(N,N), BB(N,NRHS), & FERR(NRHS), BERR(NRHS), R(N), C(N), AF(N,N), & X(N,NRHS), B1(N), X1(N) ) ! DO I = 1, N READ (NIN, *) (AA(I, J), J = 1, N) ENDDO DO J = 1, NRHS BB(:,J) = SUM( AA, DIM=2)*J ENDDO A = AA; b = Bb WRITE(NOUT,*) 'The matrix A:' DO I = 1, N WRITE (NOUT,FMT) A(I,:) ENDDO WRITE(NOUT,*) 'The RHS matrix B:' DO J = 1, NRHS WRITE (NOUT,FMT) B(:,J) ENDDO ! WRITE ( NOUT, * )'---------------------------------------------------------' WRITE ( NOUT, * ) WRITE ( NOUT, * )'Details of LA_@(pre)GESVX LAPACK SUBROUTINE Results.' WRITE ( NOUT, * ) ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_GESVX( A, B, X )' WRITE(NOUT,*) 'ON ENTRY: A, B' WRITE(NOUT,*) ' A - the original matrix' WRITE(NOUT,*) ' B - the right hand side matrix' WRITE(NOUT,*) 'ON EXIT: X' A=AA; B=BB CALL LA_GESVX( A, B, X ) WRITE(NOUT,*)' The solution vectors X computed by LA_GESVX:' DO J = 1, NRHS WRITE (NOUT,FMT) X(:,J) END DO A=AA; B=BB B1(1:N)=B(1:N,1) CALL LA_GESVX( A, B1, X1 ) WRITE(NOUT,*)' The solution vector X computed by LA_GESVX:' WRITE (NOUT,FMT) X1(:) ! WRITE(NOUT,*) WRITE(NOUT,*) "CALL LA_GESVX(A, B, X, AF, IPIV, FACT='F', TRANS='N')" WRITE(NOUT,*) 'ON ENTRY: A, B, AF, IPIV' WRITE(NOUT,*) ' A - the original matrix' WRITE(NOUT,*) ' B - the right hand side matrix' WRITE(NOUT,*) ' AF - the factors L U of matrix A' WRITE(NOUT,*) ' IPIV - the pivot' WRITE(NOUT,*) 'ON EXIT: X' A=AA; B=BB; AF=A CALL LA_GETRF(AF, IPIV) CALL LA_GESVX(A,B,X,AF,IPIV,FACT='F',TRANS='N') WRITE(NOUT,*)' The solution vectors X computed by LA_GESVX:' DO J = 1, NRHS WRITE (NOUT,FMT) X(:,J) END DO A=AA; B=BB; AF=A B1(1:N)=B(1:N,1) CALL LA_GETRF(AF, IPIV) CALL LA_GESVX(A,B(:,1),X(:,1),AF,IPIV,FACT='F',TRANS='N') WRITE(NOUT,*)' The solution vector X computed by LA_GESVX:' WRITE (NOUT,FMT) X(:,1) A=AA; B=BB; AF=A CALL LA_GETRF(AF, IPIV) CALL LA_GESVX(A, B, X, AF, IPIV, 'N', 'N', EQUED, & R, C, FERR, BERR, RCOND, RPVGRW, INFO) WRITE(NOUT,*)' The solution vectors X computed by LA_GESVX:' DO J = 1, NRHS WRITE (NOUT,FMT) X(:,J) END DO A=AA; B=BB; AF=A B1(1:N)=B(1:N,1) CALL LA_GETRF(AF, IPIV) CALL LA_GESVX( A, B1, X1, AF, IPIV, 'N', 'N', EQUED, & R, C, FERR1, BERR1, RCOND, RPVGRW, INFO ) WRITE(NOUT,*)' The solution vector X computed by LA_GESVX:' WRITE (NOUT,FMT) X1(:) ! END PROGRAM LA_@(pre)GESVX_ET_EXAMPLE