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MODULE lib_fortran
!!======================================================================
!! *** MODULE lib_fortran ***
!! Fortran utilities: includes some low levels fortran functionality
!!======================================================================
!! History : 3.2 ! 2010-05 (M. Dunphy, R. Benshila) Original code
!! 3.4 ! 2013-06 (C. Rousset) add glob_min, glob_max
!! + 3d dim. of input is fexible (jpk, jpl...)
!! 4.0 ! 2016-06 (T. Lovato) double precision global sum by default
!!----------------------------------------------------------------------
!!----------------------------------------------------------------------
!! glob_sum : generic interface for global masked summation over
!! the interior domain for 1 or 2 2D or 3D arrays
!! it works only for T points
!! SIGN : generic interface for SIGN to overwrite f95 behaviour
!! of intrinsinc sign function
!!----------------------------------------------------------------------
USE par_oce ! Ocean parameter
USE dom_oce ! ocean domain
USE in_out_manager ! I/O manager
USE lib_mpp ! distributed memory computing
USE lbclnk ! ocean lateral boundary conditions
IMPLICIT NONE
PRIVATE
PUBLIC glob_sum ! used in many places (masked with tmask_i = ssmask * (excludes halo+duplicated points (NP folding)) )
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PUBLIC local_sum ! used in trcrad, local operation before glob_sum_delay
PUBLIC sum3x3 ! used in trcrad, do a sum over 3x3 boxes
PUBLIC DDPDD ! also used in closea module
PUBLIC glob_min, glob_max
PUBLIC glob_sum_vec
PUBLIC glob_min_vec, glob_max_vec
#if defined key_nosignedzero
PUBLIC SIGN
#endif
INTERFACE glob_sum
MODULE PROCEDURE glob_sum_1d, glob_sum_2d, glob_sum_3d
END INTERFACE
INTERFACE local_sum
MODULE PROCEDURE local_sum_2d, local_sum_3d
END INTERFACE
INTERFACE sum3x3
MODULE PROCEDURE sum3x3_2d, sum3x3_3d
END INTERFACE
INTERFACE glob_min
MODULE PROCEDURE glob_min_2d, glob_min_3d
END INTERFACE
INTERFACE glob_max
MODULE PROCEDURE glob_max_2d, glob_max_3d
END INTERFACE
INTERFACE glob_sum_vec
MODULE PROCEDURE glob_sum_vec_3d, glob_sum_vec_4d
END INTERFACE
INTERFACE glob_min_vec
MODULE PROCEDURE glob_min_vec_3d, glob_min_vec_4d
END INTERFACE
INTERFACE glob_max_vec
MODULE PROCEDURE glob_max_vec_3d, glob_max_vec_4d
END INTERFACE
#if defined key_nosignedzero
INTERFACE SIGN
MODULE PROCEDURE SIGN_SCALAR, SIGN_ARRAY_1D, SIGN_ARRAY_2D, SIGN_ARRAY_3D, &
& SIGN_ARRAY_1D_A, SIGN_ARRAY_2D_A, SIGN_ARRAY_3D_A, &
& SIGN_ARRAY_1D_B, SIGN_ARRAY_2D_B, SIGN_ARRAY_3D_B
END INTERFACE
#endif
!! * Substitutions
# include "do_loop_substitute.h90"
!!----------------------------------------------------------------------
!! NEMO/OCE 4.0 , NEMO Consortium (2018)
!! $Id: lib_fortran.F90 15376 2021-10-14 20:41:23Z clem $
!! Software governed by the CeCILL license (see ./LICENSE)
!!----------------------------------------------------------------------
CONTAINS
# define GLOBSUM_CODE
# define DIM_1d
# undef DIM_3d
# undef GLOBSUM_CODE
# define GLOBMINMAX_CODE
# define DIM_2d
# define OPERATION_GLOBMIN
# include "lib_fortran_generic.h90"
# undef OPERATION_GLOBMIN
# define OPERATION_GLOBMAX
# include "lib_fortran_generic.h90"
# undef OPERATION_GLOBMAX
# define OPERATION_GLOBMIN
# include "lib_fortran_generic.h90"
# undef OPERATION_GLOBMIN
# define OPERATION_GLOBMAX
# include "lib_fortran_generic.h90"
# undef OPERATION_GLOBMAX
# undef DIM_3
# undef GLOBMINMAX_CODE
! ! FUNCTION local_sum !
FUNCTION local_sum_2d( ptab )
!!----------------------------------------------------------------------
REAL(wp), DIMENSION(:,:), INTENT(in) :: ptab ! array on which operation is applied
COMPLEX(dp) :: local_sum_2d
!
!!-----------------------------------------------------------------------
!
COMPLEX(dp):: ctmp
REAL(wp) :: ztmp
INTEGER :: ji, jj ! dummy loop indices
INTEGER :: ipi, ipj ! dimensions
!!-----------------------------------------------------------------------
!
ipi = SIZE(ptab,1) ! 1st dimension
ipj = SIZE(ptab,2) ! 2nd dimension
!
ctmp = CMPLX( 0._dp, 0._dp, dp ) ! warning ctmp is cumulated
DO jj = 1, ipj
DO ji = 1, ipi
ztmp = ptab(ji,jj) * tmask_i(ji,jj)
CALL DDPDD( CMPLX( ztmp, 0._dp, dp ), ctmp )
END DO
END DO
!
local_sum_2d = ctmp
END FUNCTION local_sum_2d
FUNCTION local_sum_3d( ptab )
!!----------------------------------------------------------------------
REAL(wp), DIMENSION(:,:,:), INTENT(in) :: ptab ! array on which operation is applied
COMPLEX(dp) :: local_sum_3d
!
!!-----------------------------------------------------------------------
!
COMPLEX(dp):: ctmp
REAL(wp) :: ztmp
INTEGER :: ji, jj, jk ! dummy loop indices
INTEGER :: ipi, ipj, ipk ! dimensions
!!-----------------------------------------------------------------------
!
ipi = SIZE(ptab,1) ! 1st dimension
ipj = SIZE(ptab,2) ! 2nd dimension
ipk = SIZE(ptab,3) ! 3rd dimension
!
ctmp = CMPLX( 0._dp, 0._dp, dp ) ! warning ctmp is cumulated
DO jk = 1, ipk
DO jj = 1, ipj
DO ji = 1, ipi
ztmp = ptab(ji,jj,jk) * tmask_i(ji,jj)
CALL DDPDD( CMPLX( ztmp, 0._dp, dp ), ctmp )
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END DO
END DO
END DO
!
local_sum_3d = ctmp
END FUNCTION local_sum_3d
! ! FUNCTION sum3x3 !
SUBROUTINE sum3x3_2d( p2d )
!!-----------------------------------------------------------------------
!! *** routine sum3x3_2d ***
!!
!! ** Purpose : sum over 3x3 boxes
!!----------------------------------------------------------------------
REAL(wp), DIMENSION (:,:), INTENT(inout) :: p2d
!
INTEGER :: ji, ji2, jj, jj2 ! dummy loop indices
!!----------------------------------------------------------------------
!
IF( SIZE(p2d,1) /= jpi ) CALL ctl_stop( 'STOP', 'wrong call of sum3x3_2d, the first dimension is not equal to jpi' )
IF( SIZE(p2d,2) /= jpj ) CALL ctl_stop( 'STOP', 'wrong call of sum3x3_2d, the second dimension is not equal to jpj' )
!
! work over the whole domain (guarantees all internal cells are set when nn_hls=2)
!
DO_2D( nn_hls, nn_hls, nn_hls, nn_hls )
IF( MOD(mig(ji), 3) == MOD(nn_hls, 3) .AND. & ! 1st bottom left corner always at (Nis0-1, Njs0-1)
& MOD(mjg(jj), 3) == MOD(nn_hls, 3) ) THEN ! bottom left corner of a 3x3 box
ji2 = MIN(mig(ji)+2, jpiglo) - nimpp + 1 ! right position of the box
jj2 = MIN(mjg(jj)+2, jpjglo) - njmpp + 1 ! upper position of the box
IF( ji2 <= jpi .AND. jj2 <= jpj ) THEN ! the box is fully included in the local mpi domain
p2d(ji:ji2,jj:jj2) = SUM(p2d(ji:ji2,jj:jj2))
ENDIF
ENDIF
END_2D
CALL lbc_lnk( 'lib_fortran', p2d, 'T', 1.0_wp )
! no need for 2nd exchange when nn_hls > 1
IF( nn_hls == 1 ) THEN
IF( mpiRnei(nn_hls,jpwe) > -1 ) THEN ! 1st column was changed during the previous call to lbc_lnk
IF( MOD(mig( 1), 3) == 1 ) & ! 1st box start at i=1 -> column 1 to 3 correctly computed locally
p2d( 1,:) = p2d( 2,:) ! previous lbc_lnk corrupted column 1 -> put it back using column 2
IF( MOD(mig( 1), 3) == 2 ) & ! 1st box start at i=3 -> column 1 and 2 correctly computed on west neighbourh
p2d( 2,:) = p2d( 1,:) ! previous lbc_lnk fix column 1 -> copy it to column 2
ENDIF
IF( mpiRnei(nn_hls,jpea) > -1 ) THEN
IF( MOD(mig(jpi-2), 3) == 1 ) p2d( jpi,:) = p2d(jpi-1,:)
IF( MOD(mig(jpi-2), 3) == 0 ) p2d(jpi-1,:) = p2d( jpi,:)
ENDIF
IF( mpiRnei(nn_hls,jpso) > -1 ) THEN
IF( MOD(mjg( 1), 3) == 1 ) p2d(:, 1) = p2d(:, 2)
IF( MOD(mjg( 1), 3) == 2 ) p2d(:, 2) = p2d(:, 1)
ENDIF
IF( mpiRnei(nn_hls,jpno) > -1 ) THEN
IF( MOD(mjg(jpj-2), 3) == 1 ) p2d(:, jpj) = p2d(:,jpj-1)
IF( MOD(mjg(jpj-2), 3) == 0 ) p2d(:,jpj-1) = p2d(:, jpj)
ENDIF
CALL lbc_lnk( 'lib_fortran', p2d, 'T', 1.0_wp )
ENDIF
END SUBROUTINE sum3x3_2d
SUBROUTINE sum3x3_3d( p3d )
!!-----------------------------------------------------------------------
!! *** routine sum3x3_3d ***
!!
!! ** Purpose : sum over 3x3 boxes
!!----------------------------------------------------------------------
REAL(wp), DIMENSION (:,:,:), INTENT(inout) :: p3d
!
INTEGER :: ji, ji2, jj, jj2, jn ! dummy loop indices
INTEGER :: ipn ! Third dimension size
!!----------------------------------------------------------------------
!
IF( SIZE(p3d,1) /= jpi ) CALL ctl_stop( 'STOP', 'wrong call of sum3x3_3d, the first dimension is not equal to jpi' )
IF( SIZE(p3d,2) /= jpj ) CALL ctl_stop( 'STOP', 'wrong call of sum3x3_3d, the second dimension is not equal to jpj' )
ipn = SIZE(p3d,3)
!
DO jn = 1, ipn
!
! work over the whole domain (guarantees all internal cells are set when nn_hls=2)
!
DO_2D( nn_hls, nn_hls, nn_hls, nn_hls )
IF( MOD(mig(ji), 3) == MOD(nn_hls, 3) .AND. & ! 1st bottom left corner always at (Nis0-1, Njs0-1)
& MOD(mjg(jj), 3) == MOD(nn_hls, 3) ) THEN ! bottom left corner of a 3x3 box
ji2 = MIN(mig(ji)+2, jpiglo) - nimpp + 1 ! right position of the box
jj2 = MIN(mjg(jj)+2, jpjglo) - njmpp + 1 ! upper position of the box
IF( ji2 <= jpi .AND. jj2 <= jpj ) THEN ! the box is fully included in the local mpi domain
p3d(ji:ji2,jj:jj2,jn) = SUM(p3d(ji:ji2,jj:jj2,jn))
ENDIF
ENDIF
END_2D
END DO
CALL lbc_lnk( 'lib_fortran', p3d, 'T', 1.0_wp )
! no need for 2nd exchange when nn_hls > 1
IF( nn_hls == 1 ) THEN
IF( mpiRnei(nn_hls,jpwe) > -1 ) THEN ! 1st column was changed during the previous call to lbc_lnk
IF( MOD(mig( 1), 3) == 1 ) & ! 1st box start at i=1 -> column 1 to 3 correctly computed locally
p3d( 1,:,:) = p3d( 2,:,:) ! previous lbc_lnk corrupted column 1 -> put it back using column 2
IF( MOD(mig( 1), 3) == 2 ) & ! 1st box start at i=3 -> column 1 and 2 correctly computed on west neighbourh
p3d( 2,:,:) = p3d( 1,:,:) ! previous lbc_lnk fix column 1 -> copy it to column 2
ENDIF
IF( mpiRnei(nn_hls,jpea) > -1 ) THEN
IF( MOD(mig(jpi-2), 3) == 1 ) p3d( jpi,:,:) = p3d(jpi-1,:,:)
IF( MOD(mig(jpi-2), 3) == 0 ) p3d(jpi-1,:,:) = p3d( jpi,:,:)
ENDIF
IF( mpiRnei(nn_hls,jpso) > -1 ) THEN
IF( MOD(mjg( 1), 3) == 1 ) p3d(:, 1,:) = p3d(:, 2,:)
IF( MOD(mjg( 1), 3) == 2 ) p3d(:, 2,:) = p3d(:, 1,:)
ENDIF
IF( mpiRnei(nn_hls,jpno) > -1 ) THEN
IF( MOD(mjg(jpj-2), 3) == 1 ) p3d(:, jpj,:) = p3d(:,jpj-1,:)
IF( MOD(mjg(jpj-2), 3) == 0 ) p3d(:,jpj-1,:) = p3d(:, jpj,:)
ENDIF
CALL lbc_lnk( 'lib_fortran', p3d, 'T', 1.0_wp )
ENDIF
END SUBROUTINE sum3x3_3d
FUNCTION glob_sum_vec_3d( cdname, ptab ) RESULT( ptmp )
!!----------------------------------------------------------------------
CHARACTER(len=*), INTENT(in) :: cdname ! name of the calling subroutine
REAL(wp), DIMENSION(:,:,:), INTENT(in) :: ptab ! array on which operation is applied
REAL(wp), DIMENSION(SIZE(ptab,3)) :: ptmp
!
COMPLEX(dp), DIMENSION(:), ALLOCATABLE :: ctmp
REAL(wp) :: ztmp
INTEGER :: ji , jj , jk ! dummy loop indices
INTEGER :: ipi, ipj, ipk ! dimensions
INTEGER :: iis, iie, ijs, ije ! loop start and end
!!-----------------------------------------------------------------------
!
ipi = SIZE(ptab,1) ! 1st dimension
ipj = SIZE(ptab,2) ! 2nd dimension
ipk = SIZE(ptab,3) ! 3rd dimension
!
IF( ipi == jpi .AND. ipj == jpj ) THEN ! do 2D loop only over the inner domain (-> avoid to use undefined values)
iis = Nis0 ; iie = Nie0
ijs = Njs0 ; ije = Nje0
ELSE ! I think we are never in this case...
iis = 1 ; iie = jpi
ijs = 1 ; ije = jpj
ENDIF
!
ALLOCATE( ctmp(ipk) )
!
DO jk = 1, ipk
ctmp(jk) = CMPLX( 0._dp, 0._dp, dp ) ! warning ctmp is cumulated
DO jj = ijs, ije
DO ji = iis, iie
ztmp = ptab(ji,jj,jk) * tmask_i(ji,jj)
CALL DDPDD( CMPLX( ztmp, 0._dp, dp ), ctmp(jk) )
END DO
END DO
END DO
CALL mpp_sum( cdname, ctmp(:) ) ! sum over the global domain
!
ptmp = REAL( ctmp(:), wp )
!
DEALLOCATE( ctmp )
!
END FUNCTION glob_sum_vec_3d
FUNCTION glob_sum_vec_4d( cdname, ptab ) RESULT( ptmp )
!!----------------------------------------------------------------------
CHARACTER(len=*), INTENT(in) :: cdname ! name of the calling subroutine
REAL(wp), DIMENSION(:,:,:,:), INTENT(in) :: ptab ! array on which operation is applied
REAL(wp), DIMENSION(SIZE(ptab,4)) :: ptmp
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!
COMPLEX(dp), DIMENSION(:), ALLOCATABLE :: ctmp
REAL(wp) :: ztmp
INTEGER :: ji , jj , jk , jl ! dummy loop indices
INTEGER :: ipi, ipj, ipk, ipl ! dimensions
INTEGER :: iis, iie, ijs, ije ! loop start and end
!!-----------------------------------------------------------------------
!
ipi = SIZE(ptab,1) ! 1st dimension
ipj = SIZE(ptab,2) ! 2nd dimension
ipk = SIZE(ptab,3) ! 3rd dimension
ipl = SIZE(ptab,4) ! 4th dimension
!
IF( ipi == jpi .AND. ipj == jpj ) THEN ! do 2D loop only over the inner domain (-> avoid to use undefined values)
iis = Nis0 ; iie = Nie0
ijs = Njs0 ; ije = Nje0
ELSE ! I think we are never in this case...
iis = 1 ; iie = jpi
ijs = 1 ; ije = jpj
ENDIF
!
ALLOCATE( ctmp(ipl) )
!
DO jl = 1, ipl
ctmp(jl) = CMPLX( 0.e0, 0.e0, dp ) ! warning ctmp is cumulated
DO jk = 1, ipk
DO jj = ijs, ije
DO ji = iis, iie
ztmp = ptab(ji,jj,jk,jl) * tmask_i(ji,jj)
CALL DDPDD( CMPLX( ztmp, 0._dp, dp ), ctmp(jl) )
END DO
END DO
END DO
END DO
CALL mpp_sum( cdname, ctmp(:) ) ! sum over the global domain
!
ptmp = REAL( ctmp(:), wp )
!
DEALLOCATE( ctmp )
!
END FUNCTION glob_sum_vec_4d
FUNCTION glob_min_vec_3d( cdname, ptab ) RESULT( ptmp )
!!----------------------------------------------------------------------
CHARACTER(len=*), INTENT(in) :: cdname ! name of the calling subroutine
REAL(wp), DIMENSION(:,:,:), INTENT(in) :: ptab ! array on which operation is applied
REAL(wp), DIMENSION(SIZE(ptab,3)) :: ptmp
!
INTEGER :: jk ! dummy loop indice & dimension
INTEGER :: ipk ! dimension
!!-----------------------------------------------------------------------
!
ipk = SIZE(ptab,3)
DO jk = 1, ipk
ptmp(jk) = MINVAL( ptab(:,:,jk) * tmask_i(:,:) )
ENDDO
!
CALL mpp_min( cdname, ptmp (:) )
!
END FUNCTION glob_min_vec_3d
FUNCTION glob_min_vec_4d( cdname, ptab ) RESULT( ptmp )
!!----------------------------------------------------------------------
CHARACTER(len=*), INTENT(in) :: cdname ! name of the calling subroutine
REAL(wp), DIMENSION(:,:,:,:), INTENT(in) :: ptab ! array on which operation is applied
REAL(wp), DIMENSION(SIZE(ptab,4)) :: ptmp
!
INTEGER :: jk , jl ! dummy loop indice & dimension
INTEGER :: ipk, ipl ! dimension
!!-----------------------------------------------------------------------
!
ipk = SIZE(ptab,3)
ipl = SIZE(ptab,4)
DO jl = 1, ipl
ptmp(jl) = MINVAL( ptab(:,:,1,jl) * tmask_i(:,:) )
DO jk = 2, ipk
ptmp(jl) = MIN( ptmp(jl), MINVAL( ptab(:,:,jk,jl) * tmask_i(:,:) ) )
ENDDO
ENDDO
!
CALL mpp_min( cdname, ptmp (:) )
!
END FUNCTION glob_min_vec_4d
FUNCTION glob_max_vec_3d( cdname, ptab ) RESULT( ptmp )
!!----------------------------------------------------------------------
CHARACTER(len=*), INTENT(in) :: cdname ! name of the calling subroutine
REAL(wp), DIMENSION(:,:,:), INTENT(in) :: ptab ! array on which operation is applied
REAL(wp), DIMENSION(SIZE(ptab,3)) :: ptmp
!
INTEGER :: jk ! dummy loop indice & dimension
INTEGER :: ipk ! dimension
!!-----------------------------------------------------------------------
!
ipk = SIZE(ptab,3)
DO jk = 1, ipk
ptmp(jk) = MAXVAL( ptab(:,:,jk) * tmask_i(:,:) )
ENDDO
!
CALL mpp_max( cdname, ptmp (:) )
!
END FUNCTION glob_max_vec_3d
FUNCTION glob_max_vec_4d( cdname, ptab ) RESULT( ptmp )
!!----------------------------------------------------------------------
CHARACTER(len=*), INTENT(in) :: cdname ! name of the calling subroutine
REAL(wp), DIMENSION(:,:,:,:), INTENT(in) :: ptab ! array on which operation is applied
REAL(wp), DIMENSION(SIZE(ptab,4)) :: ptmp
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!
INTEGER :: jk , jl ! dummy loop indice & dimension
INTEGER :: ipk, ipl ! dimension
!!-----------------------------------------------------------------------
!
ipk = SIZE(ptab,3)
ipl = SIZE(ptab,4)
DO jl = 1, ipl
ptmp(jl) = MAXVAL( ptab(:,:,1,jl) * tmask_i(:,:) )
DO jk = 2, ipk
ptmp(jl) = MAX( ptmp(jl), MAXVAL( ptab(:,:,jk,jl) * tmask_i(:,:) ) )
ENDDO
ENDDO
!
CALL mpp_max( cdname, ptmp (:) )
!
END FUNCTION glob_max_vec_4d
SUBROUTINE DDPDD( ydda, yddb )
!!----------------------------------------------------------------------
!! *** ROUTINE DDPDD ***
!!
!! ** Purpose : Add a scalar element to a sum
!!
!!
!! ** Method : The code uses the compensated summation with doublet
!! (sum,error) emulated useing complex numbers. ydda is the
!! scalar to add to the summ yddb
!!
!! ** Action : This does only work for MPI.
!!
!! References : Using Acurate Arithmetics to Improve Numerical
!! Reproducibility and Sability in Parallel Applications
!! Yun HE and Chris H. Q. DING, Journal of Supercomputing 18, 259-277, 2001
!!----------------------------------------------------------------------
COMPLEX(dp), INTENT(in ) :: ydda
COMPLEX(dp), INTENT(inout) :: yddb
!
REAL(dp) :: zerr, zt1, zt2 ! local work variables
!!-----------------------------------------------------------------------
!
! Compute ydda + yddb using Knuth's trick.
zt1 = REAL(ydda) + REAL(yddb)
zerr = zt1 - REAL(ydda)
zt2 = ( (REAL(yddb) - zerr) + (REAL(ydda) - (zt1 - zerr)) ) &
& + AIMAG(ydda) + AIMAG(yddb)
!
! The result is t1 + t2, after normalization.
yddb = CMPLX( zt1 + zt2, zt2 - ((zt1 + zt2) - zt1), dp )
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!
END SUBROUTINE DDPDD
#if defined key_nosignedzero
!!----------------------------------------------------------------------
!! 'key_nosignedzero' F90 SIGN
!!----------------------------------------------------------------------
FUNCTION SIGN_SCALAR( pa, pb )
!!-----------------------------------------------------------------------
!! *** FUNCTION SIGN_SCALAR ***
!!
!! ** Purpose : overwrite f95 behaviour of intrinsinc sign function
!!-----------------------------------------------------------------------
REAL(wp) :: pa,pb ! input
REAL(wp) :: SIGN_SCALAR ! result
!!-----------------------------------------------------------------------
IF ( pb >= 0.e0) THEN ; SIGN_SCALAR = ABS(pa)
ELSE ; SIGN_SCALAR =-ABS(pa)
ENDIF
END FUNCTION SIGN_SCALAR
FUNCTION SIGN_ARRAY_1D( pa, pb )
!!-----------------------------------------------------------------------
!! *** FUNCTION SIGN_ARRAY_1D ***
!!
!! ** Purpose : overwrite f95 behaviour of intrinsinc sign function
!!-----------------------------------------------------------------------
REAL(wp) :: pa,pb(:) ! input
REAL(wp) :: SIGN_ARRAY_1D(SIZE(pb,1)) ! result
!!-----------------------------------------------------------------------
WHERE ( pb >= 0.e0 ) ; SIGN_ARRAY_1D = ABS(pa)
ELSEWHERE ; SIGN_ARRAY_1D =-ABS(pa)
END WHERE
END FUNCTION SIGN_ARRAY_1D
FUNCTION SIGN_ARRAY_2D(pa,pb)
!!-----------------------------------------------------------------------
!! *** FUNCTION SIGN_ARRAY_2D ***
!!
!! ** Purpose : overwrite f95 behaviour of intrinsinc sign function
!!-----------------------------------------------------------------------
REAL(wp) :: pa,pb(:,:) ! input
REAL(wp) :: SIGN_ARRAY_2D(SIZE(pb,1),SIZE(pb,2)) ! result
!!-----------------------------------------------------------------------
WHERE ( pb >= 0.e0 ) ; SIGN_ARRAY_2D = ABS(pa)
ELSEWHERE ; SIGN_ARRAY_2D =-ABS(pa)
END WHERE
END FUNCTION SIGN_ARRAY_2D
FUNCTION SIGN_ARRAY_3D(pa,pb)
!!-----------------------------------------------------------------------
!! *** FUNCTION SIGN_ARRAY_3D ***
!!
!! ** Purpose : overwrite f95 behaviour of intrinsinc sign function
!!-----------------------------------------------------------------------
REAL(wp) :: pa,pb(:,:,:) ! input
REAL(wp) :: SIGN_ARRAY_3D(SIZE(pb,1),SIZE(pb,2),SIZE(pb,3)) ! result
!!-----------------------------------------------------------------------
WHERE ( pb >= 0.e0 ) ; SIGN_ARRAY_3D = ABS(pa)
ELSEWHERE ; SIGN_ARRAY_3D =-ABS(pa)
END WHERE
END FUNCTION SIGN_ARRAY_3D
FUNCTION SIGN_ARRAY_1D_A(pa,pb)
!!-----------------------------------------------------------------------
!! *** FUNCTION SIGN_ARRAY_1D_A ***
!!
!! ** Purpose : overwrite f95 behaviour of intrinsinc sign function
!!-----------------------------------------------------------------------
REAL(wp) :: pa(:),pb(:) ! input
REAL(wp) :: SIGN_ARRAY_1D_A(SIZE(pb,1)) ! result
!!-----------------------------------------------------------------------
WHERE ( pb >= 0.e0 ) ; SIGN_ARRAY_1D_A = ABS(pa)
ELSEWHERE ; SIGN_ARRAY_1D_A =-ABS(pa)
END WHERE
END FUNCTION SIGN_ARRAY_1D_A
FUNCTION SIGN_ARRAY_2D_A(pa,pb)
!!-----------------------------------------------------------------------
!! *** FUNCTION SIGN_ARRAY_2D_A ***
!!
!! ** Purpose : overwrite f95 behaviour of intrinsinc sign function
!!-----------------------------------------------------------------------
REAL(wp) :: pa(:,:),pb(:,:) ! input
REAL(wp) :: SIGN_ARRAY_2D_A(SIZE(pb,1),SIZE(pb,2)) ! result
!!-----------------------------------------------------------------------
WHERE ( pb >= 0.e0 ) ; SIGN_ARRAY_2D_A = ABS(pa)
ELSEWHERE ; SIGN_ARRAY_2D_A =-ABS(pa)
END WHERE
END FUNCTION SIGN_ARRAY_2D_A
FUNCTION SIGN_ARRAY_3D_A(pa,pb)
!!-----------------------------------------------------------------------
!! *** FUNCTION SIGN_ARRAY_3D_A ***
!!
!! ** Purpose : overwrite f95 behaviour of intrinsinc sign function
!!-----------------------------------------------------------------------
REAL(wp) :: pa(:,:,:),pb(:,:,:) ! input
REAL(wp) :: SIGN_ARRAY_3D_A(SIZE(pb,1),SIZE(pb,2),SIZE(pb,3)) ! result
!!-----------------------------------------------------------------------
WHERE ( pb >= 0.e0 ) ; SIGN_ARRAY_3D_A = ABS(pa)
ELSEWHERE ; SIGN_ARRAY_3D_A =-ABS(pa)
END WHERE
END FUNCTION SIGN_ARRAY_3D_A
FUNCTION SIGN_ARRAY_1D_B(pa,pb)
!!-----------------------------------------------------------------------
!! *** FUNCTION SIGN_ARRAY_1D_B ***
!!
!! ** Purpose : overwrite f95 behaviour of intrinsinc sign function
!!-----------------------------------------------------------------------
REAL(wp) :: pa(:),pb ! input
REAL(wp) :: SIGN_ARRAY_1D_B(SIZE(pa,1)) ! result
!!-----------------------------------------------------------------------
IF( pb >= 0.e0 ) THEN ; SIGN_ARRAY_1D_B = ABS(pa)
ELSE ; SIGN_ARRAY_1D_B =-ABS(pa)
ENDIF
END FUNCTION SIGN_ARRAY_1D_B
FUNCTION SIGN_ARRAY_2D_B(pa,pb)
!!-----------------------------------------------------------------------
!! *** FUNCTION SIGN_ARRAY_2D_B ***
!!
!! ** Purpose : overwrite f95 behaviour of intrinsinc sign function
!!-----------------------------------------------------------------------
REAL(wp) :: pa(:,:),pb ! input
REAL(wp) :: SIGN_ARRAY_2D_B(SIZE(pa,1),SIZE(pa,2)) ! result
!!-----------------------------------------------------------------------
IF( pb >= 0.e0 ) THEN ; SIGN_ARRAY_2D_B = ABS(pa)
ELSE ; SIGN_ARRAY_2D_B =-ABS(pa)
ENDIF
END FUNCTION SIGN_ARRAY_2D_B
FUNCTION SIGN_ARRAY_3D_B(pa,pb)
!!-----------------------------------------------------------------------
!! *** FUNCTION SIGN_ARRAY_3D_B ***
!!
!! ** Purpose : overwrite f95 behaviour of intrinsinc sign function
!!-----------------------------------------------------------------------
REAL(wp) :: pa(:,:,:),pb ! input
REAL(wp) :: SIGN_ARRAY_3D_B(SIZE(pa,1),SIZE(pa,2),SIZE(pa,3)) ! result
!!-----------------------------------------------------------------------
IF( pb >= 0.e0 ) THEN ; SIGN_ARRAY_3D_B = ABS(pa)
ELSE ; SIGN_ARRAY_3D_B =-ABS(pa)
ENDIF
END FUNCTION SIGN_ARRAY_3D_B
#endif
!!======================================================================
END MODULE lib_fortran