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!

!     ###############################
      FUNCTION MXF(PA)  RESULT(PMXF)
      USE PARKIND1, ONLY : JPRB
      USE YOMHOOK , ONLY : LHOOK, DR_HOOK
!     ###############################
!
!!****  *MXF* -  Shuman operator : mean operator in x direction for a
!!                                 variable at a flux side
!!
!!    PURPOSE
!!    -------
!       The purpose of this function  is to compute a mean
!     along the x direction (I index) for a field PA localized at a x-flux
!     point (u point). The result is localized at a mass point.
!
!!**  METHOD
!!    ------
!!        The result PMXF(i,:,:) is defined by 0.5*(PA(i,:,:)+PA(i+1,:,:))
!!        At i=size(PA,1), PMXF(i,:,:) are replaced by the values of PMXF,
!!    which are the right values in the x-cyclic case
!!
!!
!!    EXTERNAL
!!    --------
!!      NONE
!!
!!    IMPLICIT ARGUMENTS
!!    ------------------
!!      Module MODD_PARAMETERS: declaration of parameter variables
!!        JPHEXT: define the number of marginal points out of the
!!        physical domain along the horizontal directions.
!!
!!    REFERENCE
!!    ---------
!!      Book2 of documentation of Meso-NH (SHUMAN operators)
!!      Technical specifications Report of The Meso-NH (chapters 3)
!!
!!
!!    AUTHOR
!!    ------
!!      V. Ducrocq       * Meteo France *
!!
!!    MODIFICATIONS
!!    -------------
!!      Original    04/07/94
!!      Modification to include the periodic case 13/10/94 J.Stein
!-------------------------------------------------------------------------------
!
!*       0.    DECLARATIONS
!              ------------
!
USE MODD_PARAMETERS
!
IMPLICIT NONE
!
!*       0.1   Declarations of argument and result
!              ------------------------------------
!
REAL, DIMENSION(:,:,:), INTENT(IN)                :: PA     ! variable at flux
                                                            !  side
REAL, DIMENSION(SIZE(PA,1),SIZE(PA,2),SIZE(PA,3)) :: PMXF   ! result at mass
                                                            ! localization
!
!*       0.2   Declarations of local variables
!              -------------------------------
!
INTEGER :: JI             ! Loop index in x direction
INTEGER :: IIU            ! upper bound in x direction of PA
!
!-------------------------------------------------------------------------------
!
!*       1.    DEFINITION OF MXF
!              ------------------
!
REAL(KIND=JPRB) :: ZHOOK_HANDLE
IF (LHOOK) CALL DR_HOOK('MXF',0,ZHOOK_HANDLE)
IIU = SIZE(PA,1)
!
!POUR AROME

PMXF=PA

!
!DO JI=1,IIU-1
!  PMXF(JI,:,:) = 0.5*( PA(JI,:,:)+PA(JI+1,:,:) )
!END DO
!
!PMXF(IIU,:,:)    = PMXF(2*JPHEXT,:,:)
!
!-------------------------------------------------------------------------------
!
IF (LHOOK) CALL DR_HOOK('MXF',1,ZHOOK_HANDLE)
END FUNCTION MXF
!
!
!     ###############################
      FUNCTION MXM(PA)  RESULT(PMXM)
      USE PARKIND1, ONLY : JPRB
      USE YOMHOOK , ONLY : LHOOK, DR_HOOK
!     ###############################
!
!!****  *MXM* -  Shuman operator : mean operator in x direction for a
!!                                 mass variable
!!
!!    PURPOSE
!!    -------
!       The purpose of this function  is to compute a mean
!     along the x direction (I index) for a field PA localized at a mass
!     point. The result is localized at a x-flux point (u point).
!
!!**  METHOD
!!    ------
!!        The result PMXM(i,:,:) is defined by 0.5*(PA(i,:,:)+PA(i-1,:,:))
!!    At i=1, PMXM(1,:,:) are replaced by the values of PMXM,
!!    which are the right values in the x-cyclic case.
!!
!!
!!    EXTERNAL
!!    --------
!!      NONE
!!
!!    IMPLICIT ARGUMENTS
!!    ------------------
!!      Module MODD_PARAMETERS: declaration of parameter variables
!!        JPHEXT: define the number of marginal points out of the
!!        physical domain along the horizontal directions.
!!
!!    REFERENCE
!!    ---------
!!      Book2 of documentation of Meso-NH (SHUMAN operators)
!!      Technical specifications Report of The Meso-NH (chapters 3)
!!
!!
!!    AUTHOR
!!    ------
!!      V. Ducrocq       * Meteo France *
!!
!!    MODIFICATIONS
!!    -------------
!!      Original    04/07/94
!!      Modification to include the periodic case 13/10/94 J.Stein
!-------------------------------------------------------------------------------
!
!*       0.    DECLARATIONS
!              ------------
!
USE MODD_PARAMETERS
!
IMPLICIT NONE
!
!*       0.1   Declarations of argument and result
!              ------------------------------------
!
REAL, DIMENSION(:,:,:), INTENT(IN)                :: PA     ! variable at mass localization
REAL, DIMENSION(SIZE(PA,1),SIZE(PA,2),SIZE(PA,3)) :: PMXM   ! result at flux localization
!
!*       0.2   Declarations of local variables
!              -------------------------------
!
INTEGER :: JI             ! Loop index in x direction
INTEGER :: IIU            ! Size of the array in the x direction
!
!-------------------------------------------------------------------------------
!
!*       1.    DEFINITION OF MXM
!              ------------------
!
REAL(KIND=JPRB) :: ZHOOK_HANDLE
IF (LHOOK) CALL DR_HOOK('MXM',0,ZHOOK_HANDLE)
IIU = SIZE(PA,1)
!
!POUR AROME

PMXM=PA

!
!DO JI=2,IIU
!  PMXM(JI,:,:) = 0.5*( PA(JI,:,:)+PA(JI-1,:,:) )
!END DO
!
!PMXM(1,:,:)    = PMXM(IIU-2*JPHEXT+1,:,:)
!
!-------------------------------------------------------------------------------
!
IF (LHOOK) CALL DR_HOOK('MXM',1,ZHOOK_HANDLE)
END FUNCTION MXM
!
!
!     ###############################
      FUNCTION MYF(PA)  RESULT(PMYF)
      USE PARKIND1, ONLY : JPRB
      USE YOMHOOK , ONLY : LHOOK, DR_HOOK
!     ###############################
!
!!****  *MYF* -  Shuman operator : mean operator in y direction for a
!!                                 variable at a flux side
!!
!!    PURPOSE
!!    -------
!       The purpose of this function  is to compute a mean
!     along the y direction (J index) for a field PA localized at a y-flux
!     point (v point). The result is localized at a mass point.
!
!!**  METHOD
!!    ------
!!        The result PMYF(i,:,:) is defined by 0.5*(PA(:,j,:)+PA(:,j+1,:))
!!        At j=size(PA,2), PMYF(:,j,:) are replaced by the values of PMYF,
!!    which are the right values in the y-cyclic case
!!
!!
!!    EXTERNAL
!!    --------
!!      NONE
!!
!!    IMPLICIT ARGUMENTS
!!    ------------------
!!      Module MODD_PARAMETERS: declaration of parameter variables
!!        JPHEXT: define the number of marginal points out of the
!!        physical domain along the horizontal directions.
!!
!!    REFERENCE
!!    ---------
!!      Book2 of documentation of Meso-NH (SHUMAN operators)
!!      Technical specifications Report of The Meso-NH (chapters 3)
!!
!!
!!    AUTHOR
!!    ------
!!      V. Ducrocq       * Meteo France *
!!
!!    MODIFICATIONS
!!    -------------
!!      Original    04/07/94
!!      Modification to include the periodic case 13/10/94 J.Stein
!-------------------------------------------------------------------------------
!
!*       0.    DECLARATIONS
!              ------------
!
USE MODD_PARAMETERS
!
IMPLICIT NONE
!
!*       0.1   Declarations of argument and result
!              ------------------------------------
!
REAL, DIMENSION(:,:,:), INTENT(IN)                :: PA     ! variable at flux
                                                            !   side
REAL, DIMENSION(SIZE(PA,1),SIZE(PA,2),SIZE(PA,3)) :: PMYF   ! result at mass
                                                            ! localization
!
!*       0.2   Declarations of local variables
!              -------------------------------
!
INTEGER :: JJ             ! Loop index in y direction
INTEGER :: IJU            ! upper bound in y direction of PA
!
!-------------------------------------------------------------------------------
!
!*       1.    DEFINITION OF MYF
!              ------------------
!
REAL(KIND=JPRB) :: ZHOOK_HANDLE
IF (LHOOK) CALL DR_HOOK('MYF',0,ZHOOK_HANDLE)
IJU = SIZE(PA,2)

!POUR AROME

PMYF=PA

!
!DO JJ=1,IJU-1
!  PMYF(:,JJ,:) = 0.5*( PA(:,JJ,:)+PA(:,JJ+1,:) )
!END DO
!
!PMYF(:,IJU,:)    = PMYF(:,2*JPHEXT,:)
!
!-------------------------------------------------------------------------------
!
IF (LHOOK) CALL DR_HOOK('MYF',1,ZHOOK_HANDLE)
END FUNCTION MYF
!
!
!     ###############################
      FUNCTION MYM(PA)  RESULT(PMYM)
      USE PARKIND1, ONLY : JPRB
      USE YOMHOOK , ONLY : LHOOK, DR_HOOK
!     ###############################
!
!!****  *MYM* -  Shuman operator : mean operator in y direction for a
!!                                 mass variable
!!
!!    PURPOSE
!!    -------
!       The purpose of this function  is to compute a mean
!     along the y direction (J index) for a field PA localized at a mass
!     point. The result is localized at a y-flux point (v point).
!
!!**  METHOD
!!    ------
!!        The result PMYM(:,j,:) is defined by 0.5*(PA(:,j,:)+PA(:,j-1,:))
!!    At j=1, PMYM(:,j,:) are replaced by the values of PMYM,
!!    which are the right values in the y-cyclic case.
!!
!!
!!    EXTERNAL
!!    --------
!!      NONE
!!
!!    IMPLICIT ARGUMENTS
!!    ------------------
!!      Module MODD_PARAMETERS: declaration of parameter variables
!!        JPHEXT: define the number of marginal points out of the
!!        physical domain along the horizontal directions.
!!
!!    REFERENCE
!!    ---------
!!      Book2 of documentation of Meso-NH (SHUMAN operators)
!!      Technical specifications Report of The Meso-NH (chapters 3)
!!
!!
!!    AUTHOR
!!    ------
!!      V. Ducrocq       * Meteo France *
!!
!!    MODIFICATIONS
!!    -------------
!!      Original    04/07/94
!!      Modification to include the periodic case 13/10/94 J.Stein
!-------------------------------------------------------------------------------
!
!*       0.    DECLARATIONS
!              ------------
!
USE MODD_PARAMETERS
!
IMPLICIT NONE
!
!*       0.1   Declarations of argument and result
!              ------------------------------------
!
REAL, DIMENSION(:,:,:), INTENT(IN)                :: PA     ! variable at mass localization
REAL, DIMENSION(SIZE(PA,1),SIZE(PA,2),SIZE(PA,3)) :: PMYM   ! result at flux localization
!
!*       0.2   Declarations of local variables
!              -------------------------------
!
INTEGER :: JJ             ! Loop index in y direction
INTEGER :: IJU            ! Size of the array in the y direction
!
!-------------------------------------------------------------------------------
!
!*       1.    DEFINITION OF MYM
!              ------------------
!
REAL(KIND=JPRB) :: ZHOOK_HANDLE
IF (LHOOK) CALL DR_HOOK('MYM',0,ZHOOK_HANDLE)
IJU=SIZE(PA,2)

!POUR AROME

PMYM=PA

!
!DO JJ=2,IJU
!  PMYM(:,JJ,:) = 0.5*( PA(:,JJ,:)+PA(:,JJ-1,:) )
!END DO
!
!PMYM(:,1,:)    = PMYM(:,IJU-2*JPHEXT+1,:)
!
!-------------------------------------------------------------------------------
!
IF (LHOOK) CALL DR_HOOK('MYM',1,ZHOOK_HANDLE)
END FUNCTION MYM
!
!
!     ###############################
      FUNCTION MZF(PA, KKA, KKU, KL)  RESULT(PMZF)
      USE PARKIND1, ONLY : JPRB
      USE YOMHOOK , ONLY : LHOOK, DR_HOOK
!     ###############################
!
!!****  *MZF* -  Shuman operator : mean operator in z direction for a
!!                                 variable at a flux side
!!
!!    PURPOSE
!!    -------
!       The purpose of this function  is to compute a mean
!     along the z direction (K index) for a field PA localized at a z-flux
!     point (w point). The result is localized at a mass point.
!
!!**  METHOD
!!    ------
!!        The result PMZF(:,:,k) is defined by 0.5*(PA(:,:,k)+PA(:,:,k+1))
!!        At k=size(PA,3), PMZF(:,:,k) is defined by -999.
!!
!!
!!    EXTERNAL
!!    --------
!!      NONE
!!
!!    IMPLICIT ARGUMENTS
!!    ------------------
!!      NONE
!!
!!    REFERENCE
!!    ---------
!!      Book2 of documentation of Meso-NH (SHUMAN operators)
!!      Technical specifications Report of The Meso-NH (chapters 3)
!!
!!
!!    AUTHOR
!!    ------
!!      V. Ducrocq       * Meteo France *
!!
!!    MODIFICATIONS
!!    -------------
!!      Original    04/07/94
!-------------------------------------------------------------------------------
!
!*       0.    DECLARATIONS
!              ------------
!
IMPLICIT NONE
!
!*       0.1   Declarations of argument and result
!              ------------------------------------
!
REAL, DIMENSION(:,:,:), INTENT(IN)                :: PA     ! variable at flux side
INTEGER,              INTENT(IN)                  :: KKA, KKU ! near ground and uppest atmosphere array indexes
INTEGER,              INTENT(IN)                  :: KL     ! +1 if grid goes from ground to atmosphere top, -1 otherwise
REAL, DIMENSION(SIZE(PA,1),SIZE(PA,2),SIZE(PA,3)) :: PMZF   ! result at mass
                                                            ! localization
!
!*       0.2   Declarations of local variables
!              -------------------------------
!
INTEGER :: JK             ! Loop index in z direction
INTEGER :: IKT          ! upper bound in z direction of PA
!
!-------------------------------------------------------------------------------
!
!*       1.    DEFINITION OF MZF
!              ------------------
!
REAL(KIND=JPRB) :: ZHOOK_HANDLE
IF (LHOOK) CALL DR_HOOK('MZF',0,ZHOOK_HANDLE)
IKT = SIZE(PA,3)
DO JK=2,IKT-1
  PMZF(:,:,JK) = 0.5*( PA(:,:,JK)+PA(:,:,JK+KL) )
END DO
PMZF(:,:,KKU) = -999.
PMZF(:,:,KKA) = 0.5*( PA(:,:,KKA)+PA(:,:,KKA+KL) )
!
!-------------------------------------------------------------------------------
!
IF (LHOOK) CALL DR_HOOK('MZF',1,ZHOOK_HANDLE)
END FUNCTION MZF
!
!
!     ###############################
      FUNCTION MZM(PA, KKA, KKU, KL)  RESULT(PMZM)
      USE PARKIND1, ONLY : JPRB
      USE YOMHOOK , ONLY : LHOOK, DR_HOOK
!     ###############################
!
!!****  *MZM* -  Shuman operator : mean operator in z direction for a
!!                                 mass variable
!!
!!    PURPOSE
!!    -------
!       The purpose of this function  is to compute a mean
!     along the z direction (K index) for a field PA localized at a mass
!     point. The result is localized at a z-flux point (w point).
!
!!**  METHOD
!!    ------
!!        The result PMZM(:,:,k) is defined by 0.5*(PA(:,:,k)+PA(:,:,k-1))
!!        At k=1, PMZM(:,:,1) is defined by -999.
!!
!!
!!    EXTERNAL
!!    --------
!!      NONE
!!
!!    IMPLICIT ARGUMENTS
!!    ------------------
!!      NONE
!!
!!    REFERENCE
!!    ---------
!!      Book2 of documentation of Meso-NH (SHUMAN operators)
!!      Technical specifications Report of The Meso-NH (chapters 3)
!!
!!
!!    AUTHOR
!!    ------
!!      V. Ducrocq       * Meteo France *
!!
!!    MODIFICATIONS
!!    -------------
!!      Original    04/07/94
!-------------------------------------------------------------------------------
!
!*       0.    DECLARATIONS
!              ------------
!
IMPLICIT NONE
!
!*       0.1   Declarations of argument and result
!              ------------------------------------
!
REAL, DIMENSION(:,:,:), INTENT(IN)                :: PA     ! variable at mass localization
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INTEGER,              INTENT(IN)                  :: KKA, KKU ! near ground and uppest atmosphere array indexes
INTEGER,              INTENT(IN)                  :: KL     ! +1 if grid goes from ground to atmosphere top, -1 otherwise
REAL, DIMENSION(SIZE(PA,1),SIZE(PA,2),SIZE(PA,3)) :: PMZM   ! result at flux localization
!
!*       0.2   Declarations of local variables
!              -------------------------------
!
INTEGER :: JK             ! Loop index in z direction
!
!-------------------------------------------------------------------------------
!
!*       1.    DEFINITION OF MZM
!              ------------------
!
REAL(KIND=JPRB) :: ZHOOK_HANDLE
IF (LHOOK) CALL DR_HOOK('MZM',0,ZHOOK_HANDLE)
DO JK=2,SIZE(PA,3)-1
  PMZM(:,:,JK) = 0.5*( PA(:,:,JK)+PA(:,:,JK-KL) )
END DO
PMZM(:,:,KKA)    = -999.
PMZM(:,:,KKU) = 0.5*( PA(:,:,KKU)+PA(:,:,KKU-KL) )
!
!-------------------------------------------------------------------------------
!
IF (LHOOK) CALL DR_HOOK('MZM',1,ZHOOK_HANDLE)
END FUNCTION MZM
!     ###############################
      FUNCTION DXF(PA)  RESULT(PDXF)
      USE PARKIND1, ONLY : JPRB
      USE YOMHOOK , ONLY : LHOOK, DR_HOOK
!     ###############################
!
!!****  *DXF* -  Shuman operator : finite difference operator in x direction
!!                                  for a variable at a flux side
!!
!!    PURPOSE
!!    -------
!       The purpose of this function  is to compute a finite difference
!     along the x direction (I index) for a field PA localized at a x-flux
!     point (u point). The result is localized at a mass point.
!
!!**  METHOD
!!    ------
!!        The result PDXF(i,:,:) is defined by (PA(i+1,:,:)-PA(i,:,:))
!!        At i=size(PA,1), PDXF(i,:,:) are replaced by the values of PDXF,
!!    which are the right values in the x-cyclic case
!!
!!
!!    EXTERNAL
!!    --------
!!      NONE
!!
!!    IMPLICIT ARGUMENTS
!!    ------------------
!!      Module MODD_PARAMETERS: declaration of parameter variables
!!        JPHEXT: define the number of marginal points out of the
!!        physical domain along the horizontal directions.
!!
!!    REFERENCE
!!    ---------
!!      Book2 of documentation of Meso-NH (SHUMAN operators)
!!      Technical specifications Report of The Meso-NH (chapters 3)
!!
!!
!!    AUTHOR
!!    ------
!!      V. Ducrocq       * Meteo France *
!!
!!    MODIFICATIONS
!!    -------------
!!      Original    05/07/94
!!      Modification to include the periodic case 13/10/94 J.Stein
!-------------------------------------------------------------------------------
!
!*       0.    DECLARATIONS
!              ------------
!
USE MODD_PARAMETERS
!
IMPLICIT NONE
!
!*       0.1   Declarations of argument and result
!              ------------------------------------
!
REAL, DIMENSION(:,:,:), INTENT(IN)                :: PA     ! variable at flux
                                                            !  side
REAL, DIMENSION(SIZE(PA,1),SIZE(PA,2),SIZE(PA,3)) :: PDXF   ! result at mass
                                                            ! localization
!
!*       0.2   Declarations of local variables
!              -------------------------------
!
INTEGER :: JI             ! Loop index in x direction
INTEGER :: IIU            ! upper bound in x direction of PA
!
!-------------------------------------------------------------------------------
!
!*       1.    DEFINITION OF DXF
!              ------------------
!
REAL(KIND=JPRB) :: ZHOOK_HANDLE
IF (LHOOK) CALL DR_HOOK('DXF',0,ZHOOK_HANDLE)
IIU = SIZE(PA,1)
!
DO JI=1,IIU-1
  PDXF(JI,:,:)          = PA(JI+1,:,:) -  PA(JI,:,:)
END DO
!
!PDXF(IIU,:,:)    = PDXF(2*JPHEXT,:,:)
!
!-------------------------------------------------------------------------------
!
IF (LHOOK) CALL DR_HOOK('DXF',1,ZHOOK_HANDLE)
END FUNCTION DXF
!
!
!     ###############################
      FUNCTION DXM(PA)  RESULT(PDXM)
      USE PARKIND1, ONLY : JPRB
      USE YOMHOOK , ONLY : LHOOK, DR_HOOK
!     ###############################
!
!!****  *DXM* -  Shuman operator : finite difference operator in x direction
!!                                  for a variable at a mass localization
!!
!!    PURPOSE
!!    -------
!       The purpose of this function  is to compute a finite difference
!     along the x direction (I index) for a field PA localized at a mass
!     point. The result is localized at a x-flux point (u point).
!
!!**  METHOD
!!    ------
!!        The result PDXM(i,:,:) is defined by (PA(i,:,:)-PA(i-1,:,:))
!!    At i=1, PDXM(1,:,:) are replaced by the values of PDXM,
!!    which are the right values in the x-cyclic case.
!!
!!
!!    EXTERNAL
!!    --------
!!      NONE
!!
!!    IMPLICIT ARGUMENTS
!!    ------------------
!!      Module MODD_PARAMETERS: declaration of parameter variables
!!        JPHEXT: define the number of marginal points out of the
!!        physical domain along the horizontal directions.
!!
!!    REFERENCE
!!    ---------
!!      Book2 of documentation of Meso-NH (SHUMAN operators)
!!      Technical specifications Report of The Meso-NH (chapters 3)
!!
!!
!!    AUTHOR
!!    ------
!!      V. Ducrocq       * Meteo France *
!!
!!    MODIFICATIONS
!!    -------------
!!      Original    05/07/94
!!      Modification to include the periodic case 13/10/94 J.Stein
!-------------------------------------------------------------------------------
!
!*       0.    DECLARATIONS
!              ------------
!
USE MODD_PARAMETERS
!
IMPLICIT NONE
!
!*       0.1   Declarations of argument and result
!              ------------------------------------
!
REAL, DIMENSION(:,:,:), INTENT(IN)                :: PA     ! variable at mass
                                                            ! localization
REAL, DIMENSION(SIZE(PA,1),SIZE(PA,2),SIZE(PA,3)) :: PDXM   ! result at flux
                                                            ! side
!
!*       0.2   Declarations of local variables
!              -------------------------------
!
INTEGER :: JI             ! Loop index in x direction
INTEGER :: IIU            ! Size of the array in the x direction
!
!-------------------------------------------------------------------------------
!
!*       1.    DEFINITION OF DXM
!              ------------------
!
REAL(KIND=JPRB) :: ZHOOK_HANDLE
IF (LHOOK) CALL DR_HOOK('DXM',0,ZHOOK_HANDLE)
IIU = SIZE(PA,1)
!
DO JI=2,IIU
  PDXM(JI,:,:)          = PA(JI,:,:) -  PA(JI-1,:,:)
END DO
!
PDXM(1,:,:)    =  PDXM(IIU-2*JPHEXT+1,:,:)
!
!-------------------------------------------------------------------------------
!
IF (LHOOK) CALL DR_HOOK('DXM',1,ZHOOK_HANDLE)
END FUNCTION DXM
!
!
!     ###############################
      FUNCTION DYF(PA)  RESULT(PDYF)
      USE PARKIND1, ONLY : JPRB
      USE YOMHOOK , ONLY : LHOOK, DR_HOOK
!     ###############################
!
!!****  *DYF* -  Shuman operator : finite difference operator in y direction
!!                                  for a variable at a flux side
!!
!!    PURPOSE
!!    -------
!       The purpose of this function  is to compute a finite difference
!     along the y direction (J index) for a field PA localized at a y-flux
!     point (v point). The result is localized at a mass point.
!
!!**  METHOD
!!    ------
!!        The result PDYF(:,j,:) is defined by (PA(:,j+1,:)-PA(:,j,:))
!!        At j=size(PA,2), PDYF(:,j,:) are replaced by the values of PDYM,
!!    which are the right values in the y-cyclic case
!!
!!
!!    EXTERNAL
!!    --------
!!      NONE
!!
!!    IMPLICIT ARGUMENTS
!!    ------------------
!!      Module MODD_PARAMETERS: declaration of parameter variables
!!        JPHEXT: define the number of marginal points out of the
!!        physical domain along the horizontal directions.
!!
!!    REFERENCE
!!    ---------
!!      Book2 of documentation of Meso-NH (SHUMAN operators)
!!      Technical specifications Report of The Meso-NH (chapters 3)
!!
!!
!!    AUTHOR
!!    ------
!!      V. Ducrocq       * Meteo France *
!!
!!    MODIFICATIONS
!!    -------------
!!      Original    05/07/94
!!      Modification to include the periodic case 13/10/94 J.Stein
!-------------------------------------------------------------------------------
!
!*       0.    DECLARATIONS
!              ------------
!
USE MODD_PARAMETERS
!
IMPLICIT NONE
!
!*       0.1   Declarations of argument and result
!              ------------------------------------
!
REAL, DIMENSION(:,:,:), INTENT(IN)                :: PA     ! variable at flux
                                                            !  side
REAL, DIMENSION(SIZE(PA,1),SIZE(PA,2),SIZE(PA,3)) :: PDYF   ! result at mass
                                                            ! localization
!
!*       0.2   Declarations of local variables
!              -------------------------------
!
INTEGER :: JJ            ! Loop index in y direction
INTEGER :: IJU           ! upper bound in y direction of PA
!
!-------------------------------------------------------------------------------
!
!*       1.    DEFINITION OF DYF
!              ------------------
!
REAL(KIND=JPRB) :: ZHOOK_HANDLE
IF (LHOOK) CALL DR_HOOK('DYF',0,ZHOOK_HANDLE)
IJU = SIZE(PA,2)
!
DO JJ=1,IJU-1
  PDYF(:,JJ,:)          = PA(:,JJ+1,:) -  PA(:,JJ,:)
END DO
!
!PDYF(:,IJU,:)    = PDYF(:,2*JPHEXT,:)
!
!-------------------------------------------------------------------------------
!
IF (LHOOK) CALL DR_HOOK('DYF',1,ZHOOK_HANDLE)
END FUNCTION DYF
!
!
!     ###############################
      FUNCTION DYM(PA)  RESULT(PDYM)
      USE PARKIND1, ONLY : JPRB
      USE YOMHOOK , ONLY : LHOOK, DR_HOOK
!     ###############################
!
!!****  *DYM* -  Shuman operator : finite difference operator in y direction
!!                                  for a variable at a mass localization
!!
!!    PURPOSE
!!    -------
!       The purpose of this function  is to compute a finite difference
!     along the y direction (J index) for a field PA localized at a mass
!     point. The result is localized at a y-flux point (v point).
!
!!**  METHOD
!!    ------
!!        The result PDYM(:,j,:) is defined by (PA(:,j,:)-PA(:,j-1,:))
!!    At j=1, PDYM(:,1,:) are replaced by the values of PDYM,
!!    which are the right values in the y-cyclic case.
!!
!!
!!    EXTERNAL
!!    --------
!!      NONE
!!
!!    IMPLICIT ARGUMENTS
!!    ------------------
!!      Module MODD_PARAMETERS: declaration of parameter variables
!!        JPHEXT: define the number of marginal points out of the
!!        physical domain along the horizontal directions.
!!
!!    REFERENCE
!!    ---------
!!      Book2 of documentation of Meso-NH (SHUMAN operators)
!!      Technical specifications Report of The Meso-NH (chapters 3)
!!
!!
!!    AUTHOR
!!    ------
!!      V. Ducrocq       * Meteo France *
!!
!!    MODIFICATIONS
!!    -------------
!!      Original    05/07/94
!!      Modification to include the periodic case 13/10/94 J.Stein
!-------------------------------------------------------------------------------
!
!*       0.    DECLARATIONS
!              ------------
!
USE MODD_PARAMETERS
!
IMPLICIT NONE
!
!*       0.1   Declarations of argument and result
!              ------------------------------------
!
REAL, DIMENSION(:,:,:), INTENT(IN)                :: PA     ! variable at mass
                                                            ! localization
REAL, DIMENSION(SIZE(PA,1),SIZE(PA,2),SIZE(PA,3)) :: PDYM   ! result at flux
                                                            ! side
!
!*       0.2   Declarations of local variables
!              -------------------------------
!
INTEGER :: JJ             ! Loop index in y direction
INTEGER :: IJU            ! Size of the array in the y direction
!
!-------------------------------------------------------------------------------
!
!*       1.    DEFINITION OF DYM
!              ------------------
!
REAL(KIND=JPRB) :: ZHOOK_HANDLE
IF (LHOOK) CALL DR_HOOK('DYM',0,ZHOOK_HANDLE)
IJU=SIZE(PA,2)
!
DO JJ=2,IJU
  PDYM(:,JJ,:)          = PA(:,JJ,:) -  PA(:,JJ-1,:)
END DO
!
PDYM(:,1,:)    =  PDYM(:,IJU-2*JPHEXT+1,:)
!
!-------------------------------------------------------------------------------
!
IF (LHOOK) CALL DR_HOOK('DYM',1,ZHOOK_HANDLE)
END FUNCTION DYM
!
!
!     ###############################
      FUNCTION DZF(PA, KKA, KKU, KL)  RESULT(PDZF)
      USE PARKIND1, ONLY : JPRB
      USE YOMHOOK , ONLY : LHOOK, DR_HOOK
!     ###############################
!
!!****  *DZF* -  Shuman operator : finite difference operator in z direction
!!                                  for a variable at a flux side
!!
!!    PURPOSE
!!    -------
!       The purpose of this function  is to compute a finite difference
!     along the z direction (K index) for a field PA localized at a z-flux
!     point (w point). The result is localized at a mass point.
!
!!**  METHOD
!!    ------
!!        The result PDZF(:,:,k) is defined by (PA(:,:,k+1)-PA(:,:,k))
!!        At k=size(PA,3), PDZF(:,:,k) is defined by -999.
!!
!!
!!    EXTERNAL
!!    --------
!!      NONE
!!
!!    IMPLICIT ARGUMENTS
!!    ------------------
!!      NONE
!!
!!    REFERENCE
!!    ---------
!!      Book2 of documentation of Meso-NH (SHUMAN operators)
!!      Technical specifications Report of The Meso-NH (chapters 3)
!!
!!
!!    AUTHOR
!!    ------
!!      V. Ducrocq       * Meteo France *
!!
!!    MODIFICATIONS
!!    -------------
!!      Original    05/07/94
!-------------------------------------------------------------------------------
!
!*       0.    DECLARATIONS
!              ------------
!
IMPLICIT NONE
!
!*       0.1   Declarations of argument and result
!              ------------------------------------
!
REAL, DIMENSION(:,:,:), INTENT(IN)                :: PA     ! variable at flux side
INTEGER,              INTENT(IN)                  :: KKA, KKU ! near ground and uppest atmosphere array indexes
INTEGER,              INTENT(IN)                  :: KL     ! +1 if grid goes from ground to atmosphere top, -1 otherwise
REAL, DIMENSION(SIZE(PA,1),SIZE(PA,2),SIZE(PA,3)) :: PDZF   ! result at mass
                                                            ! localization
!
!*       0.2   Declarations of local variables
!              -------------------------------
!
INTEGER :: JK           ! Loop index in z direction
INTEGER :: IKT          ! upper bound in z direction of PA
!
!-------------------------------------------------------------------------------
!
!*       1.    DEFINITION OF DZF
!              ------------------
!
REAL(KIND=JPRB) :: ZHOOK_HANDLE
IF (LHOOK) CALL DR_HOOK('DZF',0,ZHOOK_HANDLE)
IKT = SIZE(PA,3)
DO JK=2,IKT-1
  PDZF(:,:,JK)          = PA(:,:,JK+KL) -  PA(:,:,JK)
END DO
PDZF(:,:,KKA)    = PA(:,:,KKA+KL) -  PA(:,:,KKA)
PDZF(:,:,KKU)    = -999.
!
!-------------------------------------------------------------------------------
!
IF (LHOOK) CALL DR_HOOK('DZF',1,ZHOOK_HANDLE)
END FUNCTION DZF
!
!
!     ###############################
      FUNCTION DZM(PA, KKA, KKU, KL)  RESULT(PDZM)
      USE PARKIND1, ONLY : JPRB
      USE YOMHOOK , ONLY : LHOOK, DR_HOOK
!     ###############################
!
!!****  *DZM* -  Shuman operator : finite difference operator in z direction
!!                                  for a variable at a mass localization
!!
!!    PURPOSE
!!    -------
!       The purpose of this function  is to compute a finite difference
!     along the z direction (K index) for a field PA localized at a mass
!     point. The result is localized at a z-flux point (w point).
!