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!MNH_LIC Copyright 1994-2022 CNRS, Meteo-France and Universite Paul Sabatier
!MNH_LIC This is part of the Meso-NH software governed by the CeCILL-C licence
!MNH_LIC version 1. See LICENSE, CeCILL-C_V1-en.txt and CeCILL-C_V1-fr.txt
!MNH_LIC for details. version 1.
!-----------------------------------------------------------------
!     ####################
      MODULE MODI_CONTRAV
!     ####################
!
INTERFACE
!
      SUBROUTINE CONTRAV(HLBCX,HLBCY,PRUT,PRVT,PRWT,PDXX,PDYY,PDZZ,PDZX,PDZY,  &
                         PRUCT,PRVCT,PRWCT,KADV_ORDER                       )
!
!
CHARACTER (LEN=4), DIMENSION(2), INTENT(IN) :: HLBCX  ! X direction LBC type
CHARACTER (LEN=4), DIMENSION(2), INTENT(IN) :: HLBCY  ! Y direction LBC type                         
REAL, DIMENSION(:,:,:),  INTENT(IN)    ::  PRUT       ! Cartesian comp along x
REAL, DIMENSION(:,:,:),  INTENT(IN)    ::  PRVT       ! Cartesian comp along y
REAL, DIMENSION(:,:,:),  INTENT(IN)    ::  PRWT       ! Cartesian comp along z
REAL, DIMENSION(:,:,:),  INTENT(IN)    ::  PDXX       ! Metric coefficients
REAL, DIMENSION(:,:,:),  INTENT(IN)    ::  PDYY       ! Metric coefficients
REAL, DIMENSION(:,:,:),  INTENT(IN)    ::  PDZZ       ! Metric coefficients
REAL, DIMENSION(:,:,:),  INTENT(IN)    ::  PDZX       ! Metric coefficients
REAL, DIMENSION(:,:,:),  INTENT(IN)    ::  PDZY       ! Metric coefficients
REAL, DIMENSION(:,:,:),  INTENT(OUT)   ::  PRUCT      ! Contrav comp along x-bar
REAL, DIMENSION(:,:,:),  INTENT(OUT)   ::  PRVCT      ! Contrav comp along y-bar
REAL, DIMENSION(:,:,:),  INTENT(OUT)   ::  PRWCT      ! Contrav comp along z-bar
INTEGER,                 INTENT(IN)    ::  KADV_ORDER ! Order of the advection scheme
!
END SUBROUTINE CONTRAV
!
#ifdef MNH_OPENACC
      SUBROUTINE CONTRAV_DEVICE(HLBCX,HLBCY,PRUT,PRVT,PRWT,PDXX,PDYY,PDZZ,PDZX,PDZY,  &
                         PRUCT,PRVCT,PRWCT,KADV_ORDER,ODATA_ON_DEVICE     )
!
!
CHARACTER (LEN=4), DIMENSION(2), INTENT(IN) :: HLBCX  ! X direction LBC type
CHARACTER (LEN=4), DIMENSION(2), INTENT(IN) :: HLBCY  ! Y direction LBC type
REAL, DIMENSION(:,:,:),  INTENT(IN)    ::  PRUT       ! Cartesian comp along x
REAL, DIMENSION(:,:,:),  INTENT(IN)    ::  PRVT       ! Cartesian comp along y
REAL, DIMENSION(:,:,:),  INTENT(IN)    ::  PRWT       ! Cartesian comp along z
REAL, DIMENSION(:,:,:),  INTENT(IN)    ::  PDXX       ! Metric coefficients
REAL, DIMENSION(:,:,:),  INTENT(IN)    ::  PDYY       ! Metric coefficients
REAL, DIMENSION(:,:,:),  INTENT(IN)    ::  PDZZ       ! Metric coefficients
REAL, DIMENSION(:,:,:),  INTENT(INOUT) ::  PDZX       ! Metric coefficients
REAL, DIMENSION(:,:,:),  INTENT(INOUT) ::  PDZY       ! Metric coefficients
48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451
REAL, DIMENSION(:,:,:),  INTENT(OUT)   ::  PRUCT      ! Contrav comp along x-bar
REAL, DIMENSION(:,:,:),  INTENT(OUT)   ::  PRVCT      ! Contrav comp along y-bar
REAL, DIMENSION(:,:,:),  INTENT(OUT)   ::  PRWCT      ! Contrav comp along z-bar
INTEGER,                 INTENT(IN)    ::  KADV_ORDER ! Order of the advection scheme
LOGICAL, OPTIONAL,       INTENT(IN)    :: ODATA_ON_DEVICE ! Is some of the data on the accelerator device
!
!
END SUBROUTINE CONTRAV_DEVICE
#endif
!
END INTERFACE
!
END MODULE MODI_CONTRAV 
!
!
!
!     ##############################################################
      SUBROUTINE CONTRAV(HLBCX,HLBCY,PRUT,PRVT,PRWT,PDXX,PDYY,PDZZ,PDZX,PDZY,  &
                         PRUCT,PRVCT,PRWCT,KADV_ORDER                        )
!     ##############################################################
!
!!****  *CONTRAV * - computes the contravariant components from the
!!       cartesian components
!!
!!    PURPOSE
!!    -------
!       This routine computes the contravariant components of vector
!     defined by its cartesian components (U,V,W) , using the following
!     formulae:
!     UC = U / DXX
!     VC = V / DYY
!               (     ----------x    ----------y )  
!               (           ---z           ---z  )
!           1   (            U              V    )
!     WC = ---  ( W - DZX * ---    - DZY * ---   )
!          DZZ  (           DXX            DYY   )
!
!  
!       In the no-topography case, WC = W / DZZ
!
!
!!**  METHOD
!!    ------
!!      We employ the Shuman operators to compute the averages. The metric
!!    coefficients PDXX, PDYY, PDZX, PDZY, PDZZ are dummy arguments
!!
!!
!!    EXTERNAL 
!!    --------
!!
!!
!!    IMPLICIT ARGUMENTS
!!    ------------------
!!
!!      Module MODD_CONF   : contains configuration variable 
!!           LFLAT : Logical for topography
!!                  = .TRUE.  if Zs = 0 (Flat terrain)
!!
!!    REFERENCE
!!    ---------
!!      Book2 of documentation (subroutine CONTRAV)
!!
!!
!!    AUTHOR
!!    ------
!!      J.L. Redelsperger     * CNRM *
!!	J.-P. Pinty      * Laboratoire d'Aerologie*
!!
!!    MODIFICATIONS
!!    -------------
!!      Original   27/07/94
!!      Corrections 3/08/94 (by J.P. Lafore)
!!      Corrections 17/10/94 (by J.P. Lafore) WC modified for w-advection
!!      Corrections 19/01/11 (by J.P. Pinty) WC 4th order
!!      Corrections 28/03/11 (by V.Masson) // of WC 4th order
!!      J.Escobar 21/03/2013: for HALOK comment all NHALO=1 test
!  P. Wautelet 20/05/2019: add name argument to ADDnFIELD_ll + new ADD4DFIELD_ll subroutine
!----------------------------------------------------------------------------
!
!*       0.    DECLARATIONS
!              ------------
USE MODD_CONF
USE MODD_PARAMETERS
USE MODD_GRID_n, ONLY: XZZ
!
USE MODD_ARGSLIST_ll, ONLY : HALO2LIST_ll
USE MODE_ll
!
USE MODI_GET_HALO
!
USE MODE_MPPDB
!
IMPLICIT NONE
!
!*       0.1   declarations of arguments    
!
CHARACTER (LEN=4), DIMENSION(2), INTENT(IN) :: HLBCX ! X direction LBC type
CHARACTER (LEN=4), DIMENSION(2), INTENT(IN) :: HLBCY ! Y direction LBC type
!
REAL, DIMENSION(:,:,:),  INTENT(IN)    ::  PRUT     ! Cartesian comp along x
REAL, DIMENSION(:,:,:),  INTENT(IN)    ::  PRVT     ! Cartesian comp along y
REAL, DIMENSION(:,:,:),  INTENT(IN)    ::  PRWT     ! Cartesian comp along z
!
REAL, DIMENSION(:,:,:),  INTENT(IN)    ::  PDXX     ! Metric coefficients
REAL, DIMENSION(:,:,:),  INTENT(IN)    ::  PDYY     ! Metric coefficients
REAL, DIMENSION(:,:,:),  INTENT(IN)    ::  PDZZ     ! Metric coefficients
REAL, DIMENSION(:,:,:),  INTENT(IN)    ::  PDZX     ! Metric coefficients
REAL, DIMENSION(:,:,:),  INTENT(IN)    ::  PDZY     ! Metric coefficients
!
!
REAL, DIMENSION(:,:,:),  INTENT(OUT)   ::  PRUCT    ! Contrav comp along x-bar
REAL, DIMENSION(:,:,:),  INTENT(OUT)   ::  PRVCT    ! Contrav comp along y-bar
REAL, DIMENSION(:,:,:),  INTENT(OUT)   ::  PRWCT    ! Contrav comp along z-bar
INTEGER,                 INTENT(IN)    ::  KADV_ORDER ! Order of the advection scheme
!
!
!*       0.2   declarations of local variables
!              
REAL, DIMENSION(SIZE(PDXX,1),SIZE(PDXX,2),SIZE(PDXX,3)):: Z1,Z2
INTEGER :: IIB,IIE,IJB,IJE,IKB,IKE
INTEGER :: IIU, IJU, IKU
INTEGER:: IW,IE,IS,IN   ! Coordinate of forth order diffusion area
!
TYPE(LIST_ll),      POINTER :: TZFIELD_U, TZFIELD_V, TZFIELD_DZX, TZFIELD_DZY
TYPE(HALO2LIST_ll), POINTER :: TZHALO2_U, TZHALO2_V, TZHALO2_DZX, TZHALO2_DZY
INTEGER                     :: IINFO_ll
!-----------------------------------------------------------------------
!
!*       1.    Compute the horizontal contravariant components
!              -----------------------------------------------
!
IF (MPPDB_INITIALIZED) THEN
  !Check all IN arrays
  CALL MPPDB_CHECK(PRUT,"CONTRAV beg:PRUT")
  CALL MPPDB_CHECK(PRVT,"CONTRAV beg:PRVT")
  CALL MPPDB_CHECK(PRWT,"CONTRAV beg:PRWT")
  CALL MPPDB_CHECK(PDXX,"CONTRAV beg:PDXX")
  CALL MPPDB_CHECK(PDYY,"CONTRAV beg:PDYY")
  CALL MPPDB_CHECK(PDZZ,"CONTRAV beg:PDZZ")
  CALL MPPDB_CHECK(PDZX,"CONTRAV beg:PDZX")
  CALL MPPDB_CHECK(PDZY,"CONTRAV beg:PDZY")
END IF
!
IIU= SIZE(PDXX,1)
IJU= SIZE(PDXX,2)
IKU= SIZE(PDXX,3)
!
CALL GET_INDICE_ll( IIB,IJB,IIE,IJE)
!
IKB=1+JPVEXT
IKE=IKU - JPVEXT
!
PRUCT(:,:,:) = PRUT(:,:,:) / PDXX(:,:,:)
PRVCT(:,:,:) = PRVT(:,:,:) / PDYY(:,:,:)
!
IF (KADV_ORDER == 4 ) THEN
 IF( .NOT. LFLAT) THEN 
  NULLIFY(TZFIELD_U)
  NULLIFY(TZFIELD_V)
  CALL ADD3DFIELD_ll( TZFIELD_U, PRUCT, 'CONTRAV::PRUCT' )
  CALL ADD3DFIELD_ll( TZFIELD_V, PRVCT, 'CONTRAV::PRVCT' )
  CALL UPDATE_HALO_ll(TZFIELD_U,IINFO_ll)
  CALL UPDATE_HALO_ll(TZFIELD_V,IINFO_ll)
!!$ IF( NHALO==1 ) THEN 
  NULLIFY(TZFIELD_DZX)
  NULLIFY(TZFIELD_DZY)
  CALL ADD3DFIELD_ll( TZFIELD_DZX, PDZX, 'CONTRAV::PDZX' )
  CALL ADD3DFIELD_ll( TZFIELD_DZY, PDZY, 'CONTRAV::PDZY' )
  NULLIFY(TZHALO2_U)
  NULLIFY(TZHALO2_V)
  NULLIFY(TZHALO2_DZX)
  NULLIFY(TZHALO2_DZY)
  CALL INIT_HALO2_ll(TZHALO2_U,1,IIU,IJU,IKU)
  CALL INIT_HALO2_ll(TZHALO2_V,1,IIU,IJU,IKU)
  CALL INIT_HALO2_ll(TZHALO2_DZX,1,IIU,IJU,IKU)
  CALL INIT_HALO2_ll(TZHALO2_DZY,1,IIU,IJU,IKU)
  CALL UPDATE_HALO2_ll(TZFIELD_U, TZHALO2_U, IINFO_ll)
  CALL UPDATE_HALO2_ll(TZFIELD_V, TZHALO2_V, IINFO_ll)
  CALL UPDATE_HALO2_ll(TZFIELD_DZX, TZHALO2_DZX, IINFO_ll)
  CALL UPDATE_HALO2_ll(TZFIELD_DZY, TZHALO2_DZY, IINFO_ll)
!!$ END IF
 END IF
END IF
!
!
!*       2.    Compute the vertical contravariant components (flat case)
!              ------------------------------------
!
IF (LFLAT) THEN
  PRWCT(:,:,:) = PRWT(:,:,:) / PDZZ(:,:,:)
  RETURN
END IF
!
!*       3.    Compute the vertical contravariant components (general case)
!              ------------------------------------
!
Z1 = 0.
Z2 = 0.
!
IF (KADV_ORDER == 2 ) THEN
!
  Z1(IIB:IIE,:,IKB:IKE+1)=                                             &
      (PRUCT(IIB:IIE,:,IKB:IKE+1)+PRUCT(IIB:IIE,:,IKB-1:IKE) )         &
       *PDZX(IIB:IIE,:,IKB:IKE+1) *0.25                                &
     +(PRUCT(IIB+1:IIE+1,:,IKB:IKE+1)+PRUCT(IIB+1:IIE+1,:,IKB-1:IKE) ) &
       *PDZX(IIB+1:IIE+1,:,IKB:IKE+1) *0.25   
                        
  Z2(:,IJB:IJE,IKB:IKE+1)=                                             &
      (PRVCT(:,IJB:IJE,IKB:IKE+1)+PRVCT(:,IJB:IJE,IKB-1:IKE) )         &
       *PDZY(:,IJB:IJE,IKB:IKE+1) *0.25                                &
     +(PRVCT(:,IJB+1:IJE+1,IKB:IKE+1)+PRVCT(:,IJB+1:IJE+1,IKB-1:IKE) ) &
       *PDZY(:,IJB+1:IJE+1,IKB:IKE+1) *0.25   
  PRWCT=0.             
  PRWCT(IIB:IIE,IJB:IJE,IKB:IKE+1) =                 &
      (   PRWT(IIB:IIE,IJB:IJE,IKB:IKE+1)            &
        - Z1(IIB:IIE,IJB:IJE,IKB:IKE+1)              &
        - Z2(IIB:IIE,IJB:IJE,IKB:IKE+1)              &
      ) / PDZZ(IIB:IIE,IJB:IJE,IKB:IKE+1)  
!
ELSE IF (KADV_ORDER == 4 ) THEN
!
!!$   IF (NHALO == 1) THEN
      IF ( LWEST_ll() .AND. HLBCX(1)/='CYCL' ) THEN
         IW=IIB+2 -1
      ELSE
         IW=IIB+1 -1
      END IF
      IE=IIE-1
!!$   ELSE
!!$      IF (LWEST_ll()) THEN
!!$         IW=IIB+1
!!$      ELSE
!!$         IW=IIB
!!$      END IF
!!$      IF (LEAST_ll() .AND. HLBCX(2)/='CYCL' ) THEN
!!$         IE=IIE-1
!!$      ELSE
!!$         IE=IIE
!!$      END IF
!!$   END IF
   !
!!$   IF(NHALO == 1) THEN
      IF ( LSOUTH_ll() .AND. HLBCY(1)/='CYCL' ) THEN
         IS=IJB+2 -1
      ELSE
         IS=IJB+1 -1
      END IF
      IN=IJE-1
!!$   ELSE
!!$      IF (LSOUTH_ll()) THEN
!!$         IS=IJB+1
!!$      ELSE
!!$         IS=IJB
!!$      END IF
!!$      IF (LNORTH_ll() .AND. HLBCY(2)/='CYCL' ) THEN
!!$         IN=IJE-1
!!$      ELSE
!!$         IN=IJE
!!$      END IF
!!$   END IF
   !
   !
   !*       3.1    interior of the process subdomain
!
!
   Z1(IW:IE,:,IKB:IKE+1)=                                               &
       7.0*( (PRUCT(IW:IE,:,IKB:IKE+1)+PRUCT(IW:IE,:,IKB-1:IKE)) &
            *( 9.0*PDZX(IW:IE,:,IKB:IKE+1)-(PDZX(IW+1:IE+1,:,IKB:IKE+1) &
                  +PDZX(IW:IE,:,IKB:IKE+1)+PDZX(IW-1:IE-1,:,IKB:IKE+1))/3.0)/8.0 * 0.5 &
           +(PRUCT(IW+1:IE+1,:,IKB:IKE+1)+PRUCT(IW+1:IE+1,:,IKB-1:IKE)) &
            *( 9.0*PDZX(IW+1:IE+1,:,IKB:IKE+1)-(PDZX(IW+2:IE+2,:,IKB:IKE+1) &
                  +PDZX(IW+1:IE+1,:,IKB:IKE+1)+PDZX(IW:IE,:,IKB:IKE+1))/3.0)/8.0 * 0.5 )/12.0 &
          -( (PRUCT(IW-1:IE-1,:,IKB:IKE+1)+PRUCT(IW-1:IE-1,:,IKB-1:IKE)) &
            *PDZX(IW-1:IE-1,:,IKB:IKE+1) *0.5 &
            +(PRUCT(IW+2:IE+2,:,IKB:IKE+1)+PRUCT(IW+2:IE+2,:,IKB-1:IKE)) &
            *PDZX(IW+2:IE+2,:,IKB:IKE+1) *0.5)/12.0

!
   Z2(:,IS:IN,IKB:IKE+1)=                                               &
       7.0*( (PRVCT(:,IS:IN,IKB:IKE+1)+PRVCT(:,IS:IN,IKB-1:IKE)) &
            *( 9.0*PDZY(:,IS:IN,IKB:IKE+1)-(PDZY(:,IS+1:IN+1,IKB:IKE+1) &
                  +PDZY(:,IS:IN,IKB:IKE+1)+PDZY(:,IS-1:IN-1,IKB:IKE+1))/3.0)/8.0 * 0.5 &
           +(PRVCT(:,IS+1:IN+1,IKB:IKE+1)+PRVCT(:,IS+1:IN+1,IKB-1:IKE)) &
            *( 9.0*PDZY(:,IS+1:IN+1,IKB:IKE+1)-(PDZY(:,IS+2:IN+2,IKB:IKE+1) &
                  +PDZY(:,IS+1:IN+1,IKB:IKE+1)+PDZY(:,IS:IN,IKB:IKE+1))/3.0)/8.0 * 0.5 )/12.0 &
          -( (PRVCT(:,IS-1:IN-1,IKB:IKE+1)+PRVCT(:,IS-1:IN-1,IKB-1:IKE)) &
            *PDZY(:,IS-1:IN-1,IKB:IKE+1) *0.5 &
            +(PRVCT(:,IS+2:IN+2,IKB:IKE+1)+PRVCT(:,IS+2:IN+2,IKB-1:IKE)) &
            *PDZY(:,IS+2:IN+2,IKB:IKE+1) *0.5)/12.0
!
!*       3.2    limits of the process subdomain (inside the whole domain or in cyclic conditions)
!
!!$  IF (NHALO==1) THEN

   Z1(IIE,:,IKB:IKE+1)=                                               &
       7.0*( (PRUCT(IIE,:,IKB:IKE+1)+PRUCT(IIE,:,IKB-1:IKE)) &
            *( 9.0*PDZX(IIE,:,IKB:IKE+1)-(PDZX(IIE+1,:,IKB:IKE+1) &
                  +PDZX(IIE,:,IKB:IKE+1)+PDZX(IIE-1,:,IKB:IKE+1))/3.0)/8.0 * 0.5 &
           +(PRUCT(IIE+1,:,IKB:IKE+1)+PRUCT(IIE+1,:,IKB-1:IKE)) &
            *( 9.0*PDZX(IIE+1,:,IKB:IKE+1)-(TZHALO2_DZX%HALO2%EAST(:,IKB:IKE+1) &
                  +PDZX(IIE+1,:,IKB:IKE+1)+PDZX(IIE,:,IKB:IKE+1))/3.0)/8.0 * 0.5 )/12.0 &
          -( (PRUCT(IIE-1,:,IKB:IKE+1)+PRUCT(IIE-1,:,IKB-1:IKE)) &
            *PDZX(IIE-1,:,IKB:IKE+1) *0.5 &
            +(TZHALO2_U%HALO2%EAST(:,IKB:IKE+1)+TZHALO2_U%HALO2%EAST(:,IKB-1:IKE)) &
            *TZHALO2_DZX%HALO2%EAST(:,IKB:IKE+1) *0.5)/12.0
!
   Z2(:,IJE,IKB:IKE+1)=                                               &
       7.0*( (PRVCT(:,IJE,IKB:IKE+1)+PRVCT(:,IJE,IKB-1:IKE)) &
            *( 9.0*PDZY(:,IJE,IKB:IKE+1)-(PDZY(:,IJE+1,IKB:IKE+1) &
                  +PDZY(:,IJE,IKB:IKE+1)+PDZY(:,IJE-1,IKB:IKE+1))/3.0)/8.0 * 0.5 &
           +(PRVCT(:,IJE+1,IKB:IKE+1)+PRVCT(:,IJE+1,IKB-1:IKE)) &
            *( 9.0*PDZY(:,IJE+1,IKB:IKE+1)-(TZHALO2_DZY%HALO2%NORTH(:,IKB:IKE+1) &
                  +PDZY(:,IJE+1,IKB:IKE+1)+PDZY(:,IJE,IKB:IKE+1))/3.0)/8.0 * 0.5 )/12.0 &
          -( (PRVCT(:,IJE-1,IKB:IKE+1)+PRVCT(:,IJE-1,IKB-1:IKE)) &
            *PDZY(:,IJE-1,IKB:IKE+1) *0.5 &
            +(TZHALO2_V%HALO2%NORTH(:,IKB:IKE+1)+TZHALO2_V%HALO2%NORTH(:,IKB-1:IKE)) &
            *TZHALO2_DZY%HALO2%NORTH(:,IKB:IKE+1) *0.5)/12.0
!!$  END IF
!
!*       3.3    non-CYCLIC CASE IN THE X DIRECTION: 2nd order case
!
  IF (HLBCX(1)/='CYCL' .AND. LWEST_ll()) THEN
!
   Z1(IIB,:,IKB:IKE+1)=                                     &
       (PRUCT(IIB,:,IKB:IKE+1)+PRUCT(IIB,:,IKB-1:IKE) )     &
        *PDZX(IIB,:,IKB:IKE+1) *0.25                        &
      +(PRUCT(IIB+1,:,IKB:IKE+1)+PRUCT(IIB+1,:,IKB-1:IKE) ) &
        *PDZX(IIB+1,:,IKB:IKE+1) *0.25   
  END IF
!
  IF (HLBCX(2)/='CYCL' .AND. LEAST_ll()) THEN
!
   Z1(IIE,:,IKB:IKE+1)=                                     &
       (PRUCT(IIE,:,IKB:IKE+1)+PRUCT(IIE,:,IKB-1:IKE) )     &
        *PDZX(IIE,:,IKB:IKE+1) *0.25                        &
      +(PRUCT(IIE+1,:,IKB:IKE+1)+PRUCT(IIE+1,:,IKB-1:IKE) ) &
        *PDZX(IIE+1,:,IKB:IKE+1) *0.25   
  END IF
!
!*       3.4    non-CYCLIC CASE IN THE Y DIRECTION: 2nd order case
!
  IF (HLBCY(1)/='CYCL' .AND. LSOUTH_ll()) THEN
!
   Z2(:,IJB,IKB:IKE+1)=                                     &
       (PRVCT(:,IJB,IKB:IKE+1)+PRVCT(:,IJB,IKB-1:IKE) )     &
        *PDZY(:,IJB,IKB:IKE+1) *0.25                        &
      +(PRVCT(:,IJB+1,IKB:IKE+1)+PRVCT(:,IJB+1,IKB-1:IKE) ) &
        *PDZY(:,IJB+1,IKB:IKE+1) *0.25   
!
  END IF
!
  IF (HLBCY(2)/='CYCL' .AND. LNORTH_ll()) THEN
!
   Z2(:,IJE,IKB:IKE+1)=                                     &
       (PRVCT(:,IJE,IKB:IKE+1)+PRVCT(:,IJE,IKB-1:IKE) )     &
        *PDZY(:,IJE,IKB:IKE+1) *0.25                        &
      +(PRVCT(:,IJE+1,IKB:IKE+1)+PRVCT(:,IJE+1,IKB-1:IKE) ) &
        *PDZY(:,IJE+1,IKB:IKE+1) *0.25   
!
  END IF
!
!*       3.5    Vertical contyravariant wind
!
!
!!$  CALL GET_HALO(Z1)
!!$  CALL GET_HALO(Z2)
!!$
!!$  CALL MPPDB_CHECK3DM("contrav ::Z1/Z2/ PDZZ",PRECISION,Z1,Z2,PDZZ)                    
  PRWCT=0.             
  PRWCT(IIB:IIE,IJB:IJE,IKB:IKE+1) =                 &
     (   PRWT(IIB:IIE,IJB:IJE,IKB:IKE+1)            &
       - Z1(IIB:IIE,IJB:IJE,IKB:IKE+1)              &
       - Z2(IIB:IIE,IJB:IJE,IKB:IKE+1)              &
     ) / PDZZ(IIB:IIE,IJB:IJE,IKB:IKE+1)  
!
END IF
!
PRWCT(:,:,1) = - PRWCT(:,:,3)     ! Mirror hypothesis
!
IF (KADV_ORDER == 4 ) THEN
  CALL CLEANLIST_ll(TZFIELD_U)
  CALL CLEANLIST_ll(TZFIELD_V)
!!$  IF (NHALO==1) THEN
    CALL CLEANLIST_ll(TZFIELD_DZX)
    CALL CLEANLIST_ll(TZFIELD_DZY)
    CALL DEL_HALO2_ll(TZHALO2_U)
    CALL DEL_HALO2_ll(TZHALO2_V)
    CALL DEL_HALO2_ll(TZHALO2_DZX)
    CALL DEL_HALO2_ll(TZHALO2_DZY)
!!$  END IF
END IF
!-----------------------------------------------------------------------
IF (MPPDB_INITIALIZED) THEN
  !Check all OUT arrays
  CALL MPPDB_CHECK(PRUCT,"CONTRAV end:PRUCT")
  CALL MPPDB_CHECK(PRVCT,"CONTRAV end:PRVCT")
  CALL MPPDB_CHECK(PRWCT,"CONTRAV end:PRWCT")
END IF
!
END SUBROUTINE CONTRAV
!
#ifdef MNH_OPENACC
!     ##############################################################
      SUBROUTINE CONTRAV_DEVICE(HLBCX,HLBCY,PRUT,PRVT,PRWT,PDXX,PDYY,PDZZ,PDZX,PDZY,  &
                         PRUCT,PRVCT,PRWCT,KADV_ORDER,ODATA_ON_DEVICE     )
!     ##############################################################
!
!!****  *CONTRAV * - computes the contravariant components from the
!!       cartesian components
!!
!!    PURPOSE
!!    -------
!       This routine computes the contravariant components of vector
!     defined by its cartesian components (U,V,W) , using the following
!     formulae:
!     UC = U / DXX
!     VC = V / DYY
!               (     ----------x    ----------y )  
!               (           ---z           ---z  )
!           1   (            U              V    )
!     WC = ---  ( W - DZX * ---    - DZY * ---   )
!          DZZ  (           DXX            DYY   )
!
!  
!       In the no-topography case, WC = W / DZZ
!
!
!!**  METHOD
!!    ------
!!      We employ the Shuman operators to compute the averages. The metric
!!    coefficients PDXX, PDYY, PDZX, PDZY, PDZZ are dummy arguments
!!
!!
!!    EXTERNAL 
!!    --------
!!      MXF, MYF, MZM         : Shuman functions (mean operators)
!!       
!!      Module MODI_SHUMAN    : Interface for Shuman functions   
!!
!!
!!    IMPLICIT ARGUMENTS
!!    ------------------
!!
!!      Module MODD_CONF   : contains configuration variable 
!!           LFLAT : Logical for topography
!!                  = .TRUE.  if Zs = 0 (Flat terrain)
!!
!!    REFERENCE
!!    ---------
!!      Book2 of documentation (subroutine CONTRAV)
!!
!!
!!    AUTHOR
!!    ------
!!      J.L. Redelsperger     * CNRM *
!!	J.-P. Pinty      * Laboratoire d'Aerologie*
!!
!!    MODIFICATIONS
!!    -------------
!!      Original   27/07/94
!!      Corrections 3/08/94 (by J.P. Lafore)
!!      Corrections 17/10/94 (by J.P. Lafore) WC modified for w-advection
!!      Corrections 19/01/11 (by J.P. Pinty) WC 4th order
!!      Corrections 28/03/11 (by V.Masson) // of WC 4th order
!!      J.Escobar 21/03/2013: for HALOK comment all NHALO=1 test
!  P. Wautelet 26/06/2019: optimisation for GPU + improve readability
!----------------------------------------------------------------------------
!
!*       0.    DECLARATIONS
!              ------------
USE MODD_ARGSLIST_ll, ONLY: HALO2LIST_ll
USE MODD_CONF
USE MODD_GRID_n,      ONLY: XZZ
USE MODD_PARAMETERS
!
USE MODE_ll
USE MODE_MPPDB
#ifdef MNH_OPENACC
USE MODE_MNH_ZWORK,     ONLY: MNH_MEM_GET, MNH_MEM_POSITION_PIN, MNH_MEM_RELEASE
use mode_msg
#endif
!
USE MODI_GET_HALO
USE MODI_SHUMAN
!
IMPLICIT NONE
!
!*       0.1   declarations of arguments    
!
CHARACTER (LEN=4), DIMENSION(2), INTENT(IN) :: HLBCX ! X direction LBC type
CHARACTER (LEN=4), DIMENSION(2), INTENT(IN) :: HLBCY ! Y direction LBC type
!
REAL, DIMENSION(:,:,:),  INTENT(IN)    ::  PRUT     ! Cartesian comp along x
REAL, DIMENSION(:,:,:),  INTENT(IN)    ::  PRVT     ! Cartesian comp along y
REAL, DIMENSION(:,:,:),  INTENT(IN)    ::  PRWT     ! Cartesian comp along z
!
REAL, DIMENSION(:,:,:),  INTENT(IN)    ::  PDXX     ! Metric coefficients
REAL, DIMENSION(:,:,:),  INTENT(IN)    ::  PDYY     ! Metric coefficients
REAL, DIMENSION(:,:,:),  INTENT(IN)    ::  PDZZ     ! Metric coefficients
REAL, DIMENSION(:,:,:),  INTENT(INOUT) ::  PDZX     ! Metric coefficients
REAL, DIMENSION(:,:,:),  INTENT(INOUT) ::  PDZY     ! Metric coefficients
!
!
REAL, DIMENSION(:,:,:),  INTENT(OUT)   ::  PRUCT    ! Contrav comp along x-bar
REAL, DIMENSION(:,:,:),  INTENT(OUT)   ::  PRVCT    ! Contrav comp along y-bar
REAL, DIMENSION(:,:,:),  INTENT(OUT)   ::  PRWCT    ! Contrav comp along z-bar
INTEGER,                 INTENT(IN)    ::  KADV_ORDER ! Order of the advection scheme
LOGICAL,   OPTIONAL,     INTENT(IN)    :: ODATA_ON_DEVICE ! Is some of the data on the accelerator device
!
!
!*       0.2   declarations of local variables
!
integer                             :: ji, jj, jk
INTEGER                             :: IIB, IIE, IJB, IJE, IKB, IKE
INTEGER                             :: IIU, IJU, IKU
INTEGER                             :: IW, IE, IS, IN   ! Coordinate of fourth order diffusion area
INTEGER                             :: IINFO_ll
LOGICAL                             :: GDATA_ON_DEVICE
real                                :: ZTMP1, ZTMP2 ! Intermediate work variables
REAL,   DIMENSION(:,:), POINTER , CONTIGUOUS :: ZU_EAST, ZV_NORTH, ZDZX_EAST, ZDZY_NORTH
REAL, DIMENSION(:,:,:), POINTER, CONTIGUOUS :: Z1,Z2       ! Work arrays
TYPE(LIST_ll),          POINTER     :: TZFIELD_U, TZFIELD_V, TZFIELD_DZX, TZFIELD_DZY
TYPE(HALO2LIST_ll), SAVE, POINTER  :: TZHALO2_U, TZHALO2_V, TZHALO2_DZX, TZHALO2_DZY
LOGICAL , SAVE :: GFIRST_CALL_CONTRAV_DEVICE = .TRUE.

IF ( PRESENT(ODATA_ON_DEVICE) ) THEN
  GDATA_ON_DEVICE = ODATA_ON_DEVICE
ELSE
  GDATA_ON_DEVICE = .FALSE.
END IF
!-----------------------------------------------------------------------
!
!*       1.    Compute the horizontal contravariant components
!              -----------------------------------------------
!
IF (MPPDB_INITIALIZED) THEN
  !Check all IN arrays
  CALL MPPDB_CHECK(PRUT,"CONTRAV beg:PRUT")
  CALL MPPDB_CHECK(PRVT,"CONTRAV beg:PRVT")
  CALL MPPDB_CHECK(PRWT,"CONTRAV beg:PRWT")
  CALL MPPDB_CHECK(PDXX,"CONTRAV beg:PDXX")
  CALL MPPDB_CHECK(PDYY,"CONTRAV beg:PDYY")
  CALL MPPDB_CHECK(PDZZ,"CONTRAV beg:PDZZ")
  CALL MPPDB_CHECK(PDZX,"CONTRAV beg:PDZX")
  CALL MPPDB_CHECK(PDZY,"CONTRAV beg:PDZY")
END IF
!
IIU= SIZE(PDXX,1)
IJU= SIZE(PDXX,2)
IKU= SIZE(PDXX,3)

!Pin positions in the pools of MNH memory
CALL MNH_MEM_POSITION_PIN()

CALL MNH_MEM_GET( Z1, IIU, IJU, IKU )
CALL MNH_MEM_GET( Z2, IIU, IJU, IKU )

GWEST  = ( HLBCX(1) /= 'CYCL' .AND. LWEST_ll() )
GEAST  = ( HLBCX(2) /= 'CYCL' .AND. LEAST_ll() )
GSOUTH = ( HLBCY(1) /= 'CYCL' .AND. LSOUTH_ll() )
GNORTH = ( HLBCY(2) /= 'CYCL' .AND. LNORTH_ll() )
!
CALL GET_INDICE_ll( IIB,IJB,IIE,IJE)
!
IKB=1+JPVEXT
IKE=IKU - JPVEXT
IF (KADV_ORDER == 4 ) THEN
   IF( .NOT. LFLAT) THEN
      IF ( GFIRST_CALL_CONTRAV_DEVICE ) THEN
         GFIRST_CALL_CONTRAV_DEVICE = .FALSE.
         NULLIFY(TZHALO2_U)
         NULLIFY(TZHALO2_V)
         NULLIFY(TZHALO2_DZX)
         NULLIFY(TZHALO2_DZY)
         CALL INIT_HALO2_ll(TZHALO2_U,1,IIU,IJU,IKU)
         CALL INIT_HALO2_ll(TZHALO2_V,1,IIU,IJU,IKU)
         CALL INIT_HALO2_ll(TZHALO2_DZX,1,IIU,IJU,IKU)
         CALL INIT_HALO2_ll(TZHALO2_DZY,1,IIU,IJU,IKU)
    END IF
    ZU_EAST => TZHALO2_U%HALO2%EAST
    ZDZX_EAST => TZHALO2_DZX%HALO2%EAST
    ZV_NORTH => TZHALO2_V%HALO2%NORTH
    ZDZY_NORTH => TZHALO2_DZY%HALO2%NORTH
   END IF
END IF

CALL CONTRAV_DEVICE_DIM(&
         PRUT,PRVT,PRWT,&
         PDXX,PDYY,PDZZ,PDZX,PDZY,&
         PRUCT,PRVCT,PRWCT,Z1,Z2,&
         ZU_EAST,ZV_NORTH,ZDZX_EAST,ZDZY_NORTH)

!Release all memory allocated with MNH_MEM_GET calls since last call to MNH_MEM_POSITION_PIN
CALL MNH_MEM_RELEASE()

IF (MPPDB_INITIALIZED) THEN
  !Check all OUT arrays
  CALL MPPDB_CHECK(PRUCT,"CONTRAV end:PRUCT")
  CALL MPPDB_CHECK(PRVCT,"CONTRAV end:PRVCT")
  CALL MPPDB_CHECK(PRWCT,"CONTRAV end:PRWCT")
END IF

CONTAINS

  SUBROUTINE CONTRAV_DEVICE_DIM(&
         PRUT,PRVT,PRWT,&
         PDXX,PDYY,PDZZ,PDZX,PDZY,&
         PRUCT,PRVCT,PRWCT,Z1,Z2,&
         ZU_EAST,ZV_NORTH,ZDZX_EAST,ZDZY_NORTH)

    IMPLICIT NONE

    REAL, DIMENSION(IIU, IJU, IKU) :: &
         PRUT,PRVT,PRWT,&
         PDXX,PDYY,PDZZ,PDZX,PDZY,&
         PRUCT,PRVCT,PRWCT,Z1,Z2
    REAL :: ZU_EAST(IJU,IKU),ZV_NORTH(IIU,IKU),ZDZX_EAST(IJU,IKU),ZDZY_NORTH(IIU,IKU)
    
!
!  Begin Compute
!

!$acc data present( PRUT, PRVT, PRWT, PDXX, PDYY, PDZZ, PDZX, PDZY, PRUCT, PRVCT, PRWCT, Z1, Z2 ) &
!$acc&     present(ZU_EAST,ZV_NORTH,ZDZX_EAST,ZDZY_NORTH)    
IF (GDATA_ON_DEVICE) THEN
!PW TODO:remplacer (ailleurs aussi...) 1/PDXX... par PINV_PDXX (fait pour la turbulence...) cfr MNH/turb_hor_splt.f90
!$acc kernels
  PRUCT(:,:,:) = PRUT(:,:,:) / PDXX(:,:,:)
  PRVCT(:,:,:) = PRVT(:,:,:) / PDYY(:,:,:)
!$acc end kernels
ELSE
  PRUCT(:,:,:) = PRUT(:,:,:) / PDXX(:,:,:)
  PRVCT(:,:,:) = PRVT(:,:,:) / PDYY(:,:,:)
END IF
!
IF (KADV_ORDER == 4 ) THEN
 IF( .NOT. LFLAT) THEN 
!!$  NULLIFY(TZFIELD_U)
!!$  NULLIFY(TZFIELD_V)
!!$  CALL ADD3DFIELD_ll( TZFIELD_U, PRUCT, 'CONTRAV::PRUCT' )
!!$  CALL ADD3DFIELD_ll( TZFIELD_V, PRVCT, 'CONTRAV::PRVCT' )
!!$  CALL UPDATE_HALO_ll(TZFIELD_U,IINFO_ll)
!!$  CALL UPDATE_HALO_ll(TZFIELD_V,IINFO_ll)
!!$ !!$ IF( NHALO==1 ) THEN 
!!$  NULLIFY(TZFIELD_DZX)
!!$  NULLIFY(TZFIELD_DZY)
!!$  CALL ADD3DFIELD_ll( TZFIELD_DZX, PDZX, 'CONTRAV::PDZX' )
!!$  CALL ADD3DFIELD_ll( TZFIELD_DZY, PDZY, 'CONTRAV::PDZY' )
!!$    IF ( GFIRST_CALL_CONTRAV_DEVICE ) THEN
!!$       GFIRST_CALL_CONTRAV_DEVICE = .FALSE.
!!$       NULLIFY(TZHALO2_U)
!!$       NULLIFY(TZHALO2_V)
!!$       NULLIFY(TZHALO2_DZX)
!!$       NULLIFY(TZHALO2_DZY)
!!$       CALL INIT_HALO2_ll(TZHALO2_U,1,IIU,IJU,IKU)
!!$       CALL INIT_HALO2_ll(TZHALO2_V,1,IIU,IJU,IKU)
!!$       CALL INIT_HALO2_ll(TZHALO2_DZX,1,IIU,IJU,IKU)
!!$       CALL INIT_HALO2_ll(TZHALO2_DZY,1,IIU,IJU,IKU)
!!$    END IF
!!$  CALL UPDATE_HALO2_ll(TZFIELD_U, TZHALO2_U, IINFO_ll)
!!$  CALL UPDATE_HALO2_ll(TZFIELD_V, TZHALO2_V, IINFO_ll)
!!$  CALL UPDATE_HALO2_ll(TZFIELD_DZX, TZHALO2_DZX, IINFO_ll)
!!$  CALL UPDATE_HALO2_ll(TZFIELD_DZY, TZHALO2_DZY, IINFO_ll)
  !
  CALL GET_HALO2_DF(PRUCT,TZHALO2_U,'CONTRAV::PRUCT')
  CALL GET_HALO2_DF(PRVCT,TZHALO2_V,'CONTRAV::PRVCT')
  CALL GET_HALO2_DF(PDZX,TZHALO2_DZX,'CONTRAV::PDZX')
  CALL GET_HALO2_DF(PDZY,TZHALO2_DZY,'CONTRAV::PDZY')
  
!!$!$acc update device(PRUCT,PRVCT)
!!$ !!$ END IF
!
  !PW: necessary because pointers does not work with OpenACC (PGI 16.1)
!!$  ALLOCATE(ZU_EAST(IJU,IKU),ZV_NORTH(IIU,IKU),ZDZX_EAST(IJU,IKU),ZDZY_NORTH(IIU,IKU))
!!$  !$acc enter data create( zu_east, zv_north, zdzx_east, zdzy_north )
!!$  !$acc kernels
!!$  ZU_EAST => TZHALO2_U%HALO2%EAST
!!$  ZDZX_EAST => TZHALO2_DZX%HALO2%EAST
!!$  ZV_NORTH => TZHALO2_V%HALO2%NORTH
!!$  ZDZY_NORTH => TZHALO2_DZY%HALO2%NORTH
!!$  !$acc end kernels
!!$!$acc update device(ZU_EAST,ZV_NORTH,ZDZX_EAST,ZDZY_NORTH)
!
!
!*       2.    Compute the vertical contravariant components (flat case)
!              ------------------------------------
!
FLAT: IF (LFLAT) THEN
  IF (GDATA_ON_DEVICE) THEN
!$acc kernels
    PRWCT(:,:,:) = PRWT(:,:,:) / PDZZ(:,:,:)
!$acc end kernels
  ELSE
    PRWCT(:,:,:) = PRWT(:,:,:) / PDZZ(:,:,:)
  END IF
ELSE
!
!*       3.    Compute the vertical contravariant components (general case)
!              ------------------------------------
!
! Z1(:,:,:) = 0.
CALL MPPDB_CHECK3DM("contrav_device :: init Z1/Z2",PRECISION,Z1,Z2)
!
IF (KADV_ORDER == 2 ) THEN
#ifdef MNH_OPENACC
  call Print_msg( NVERB_WARNING, 'GEN', 'CONTRAV', 'OpenACC: KADV_ORDER=2 and LFLAT=.TRUE. not yet tested' )
#endif
  !$mnh_do_concurrent(ji=iib:iie,jj=1:iju,jk=ikb:ike+1)
     Z1(ji, jj, jk ) =   ( PRUCT(ji,     jj, jk ) + PRUCT(ji,     jj, jk - 1 ) ) * PDZX (ji,     jj, jk ) * 0.25 &
                       + ( PRUCT(ji + 1, jj, jk ) + PRUCT(ji + 1, jj, jk - 1 ) ) * PDZX (ji + 1, jj, jk ) * 0.25
  !$mnh_end_do()
  !$mnh_do_concurrent(ji=1:iiu,jj=ijb:ije,jk=ikb:ike+1)
     Z2(ji, jj, jk ) =   ( PRVCT(ji, jj,     jk) + PRVCT( ji, jj,    jk - 1) ) * PDZY(ji, jj,     jk) * 0.25 &
                       + ( PRVCT(ji, jj + 1, jk) + PRVCT( ji, jj + 1,jk - 1) ) * PDZY(ji, jj + 1, jk) * 0.25
  !$mnh_do_concurrent(ji=iib:iie,jj=ijb:ije,jk=ikb:ike+1)
     PRWCT(ji ,jj, jk ) = ( PRWT(ji ,jj, jk ) - Z1(ji ,jj, jk ) - Z2(ji ,jj, jk ) ) / PDZZ(ji ,jj, jk )
ELSE IF (KADV_ORDER == 4 ) THEN
!
!!$   IF (NHALO == 1) THEN
!!$         IE=IIE-1
!!$      ELSE
!!$         IE=IIE
!!$      END IF
!!$   END IF
   !
!!$   IF(NHALO == 1) THEN
!!$         IN=IJE-1
!!$      ELSE
!!$         IN=IJE
!!$      END IF
!!$   END IF
   !
   !
   !*       3.1    interior of the process subdomain
!
!
!PW: OpenACC remarks: *computing only ztmp2 and reusing it at next iteration works
!                      but ji loop can not be collapsed -> 10x slower on GPU
!                     *ztmp1 and ztmp2 are not necessary but improve readability (no impact on performance)
  !$mnh_do_concurrent(ji=IW:IE,jj=1:iju,jk=IKB:IKE+1)
        ztmp1 = ( 9.0 * PDZX(ji,   jj, jk ) - ( PDZX(ji+1, jj, jk ) + PDZX(ji,   jj, jk ) + PDZX(ji-1, jj, jk ) ) / 3.0 ) / 16.0
        ztmp2 = ( 9.0 * PDZX(ji+1, jj, jk ) - ( PDZX(ji+2, jj, jk ) + PDZX(ji+1, jj, jk ) + PDZX(ji,   jj, jk ) ) / 3.0 ) / 16.0
        Z1(ji, jj, jk ) =  7.0 * (  ( PRUCT(ji,   jj, jk ) + PRUCT(ji,   jj, jk-1 ) ) * ztmp1                        &
                                  + ( PRUCT(ji+1, jj, jk ) + PRUCT(ji+1, jj, jk-1 ) ) * ztmp2               ) / 12.0 &
                         - 0.5 * (  ( PRUCT(ji-1, jj, jk ) + PRUCT(ji-1, jj, jk-1 ) ) * PDZX(ji-1, jj, jk)           &
                                  + ( PRUCT(ji+2, jj, jk ) + PRUCT(ji+2, jj, jk-1 ) ) * PDZX(ji+2, jj, jk)  ) / 12.0
  !$mnh_do_concurrent(ji=1:iiu,jj=is:in,jk=IKB:IKE+1)
        ztmp1 = ( 9.0 * PDZY(ji, jj,   jk ) - ( PDZY(ji, jj+1, jk ) + PDZY(ji, jj,   jk ) + PDZY(ji, jj-1, jk ) ) / 3.0 ) / 16.0
        ztmp2 = ( 9.0 * PDZY(ji, jj+1, jk ) - ( PDZY(ji, jj+2, jk ) + PDZY(ji, jj+1, jk ) + PDZY(ji, jj,   jk ) ) / 3.0 ) / 16.0
        Z2(ji, jj, jk ) =  7.0 * (  ( PRVCT(ji, jj,   jk ) + PRVCT(ji, jj,   jk-1 ) ) * ztmp1                         &
                                  + ( PRVCT(ji, jj+1, jk ) + PRVCT(ji, jj+1, jk-1 ) ) * ztmp2                ) / 12.0 &
                         - 0.5 * (  ( PRVCT(ji, jj-1, jk ) + PRVCT(ji, jj-1, jk-1 ) ) * PDZY(ji, jj-1, jk )           &
                                  + ( PRVCT(ji, jj+2, jk ) + PRVCT(ji, jj+2, jk-1 ) ) * PDZY(ji, jj+2, jk )  ) / 12.0
!$acc end kernels
!
!!$CALL MPPDB_CHECK3DM("contrav_device :: dom Z1/Z2",PRECISION,Z1,Z2)  
!
!*       3.2    limits of the process subdomain (inside the whole domain or in cyclic conditions)
!
!!$  IF (NHALO==1) THEN
    !$mnh_do_concurrent(jj=1:iju,jk=IKB:IKE+1)
      ztmp1 = ( 9.0 * PDZX(IIE,   jj, jk ) - ( PDZX(IIE+1, jj, jk ) + PDZX(IIE,   jj, jk ) + PDZX(IIE-1, jj, jk ) ) / 3.0 ) / 16.0
      ztmp2 = ( 9.0 * PDZX(IIE+1, jj, jk ) - ( ZDZX_EAST(jj, jk )   + PDZX(IIE+1, jj, jk ) + PDZX(IIE,   jj, jk ) ) / 3.0 ) / 16.0
      Z1(IIE, jj, jk ) =  7.0 * (  ( PRUCT(IIE,   jj, jk ) + PRUCT(IIE,   jj, jk-1 ) ) * ztmp1                        &
                                 + ( PRUCT(IIE+1, jj, jk ) + PRUCT(IIE+1, jj, jk-1 ) ) * ztmp2               ) / 12.0 &
                        - 0.5 * (  ( PRUCT(IIE-1, jj, jk ) + PRUCT(IIE-1, jj, jk-1 ) ) * PDZX(IIE-1, jj, jk)          &
                                 + ( ZU_EAST     (jj, jk ) + ZU_EAST     (jj, jk-1 ) ) * ZDZX_EAST  (jj, jk)  ) / 12.0
    !$mnh_do_concurrent(ji=1:iiu,jk=IKB:IKE+1)
      ztmp1 = ( 9.0 * PDZY(ji, IJE,   jk) - ( PDZY      (ji, IJE+1, jk) + PDZY(ji, IJE,   jk) + PDZY(ji, IJE-1, jk) ) / 3.0 ) / 16.0
      ztmp2 = ( 9.0 * PDZY(ji, IJE+1, jk) - ( ZDZY_NORTH(ji,        jk) + PDZY(ji, IJE+1, jk) + PDZY(ji, IJE,   jk) ) / 3.0 ) / 16.0
      Z2(ji, IJE, jk ) =  7.0 * (  ( PRVCT   (ji, IJE,   jk ) + PRVCT   (ji, IJE,   jk-1 ) ) * ztmp1                               &
                                 + ( PRVCT   (ji, IJE+1, jk ) + PRVCT   (ji, IJE+1, jk-1 ) ) * ztmp2                      ) / 12.0 &
                        - 0.5 * (  ( PRVCT   (ji, IJE-1, jk ) + PRVCT   (ji, IJE-1, jk-1 ) ) * PDZY      (ji, IJE-1, jk )          &
                                 + ( ZV_NORTH(ji,        jk ) + ZV_NORTH(ji,        jk-1 ) ) * ZDZY_NORTH(ji,        jk ) ) / 12.0
!!$  END IF
!
!*       3.3    non-CYCLIC CASE IN THE X DIRECTION: 2nd order case
!
    Z1(IIB, :, IKB:IKE+1 ) =  ( PRUCT(IIB,   :, IKB:IKE+1 ) + PRUCT(IIB,   :, IKB-1:IKE ) ) * PDZX(IIB,   :, IKB:IKE+1 ) * 0.25 &
                            + ( PRUCT(IIB+1, :, IKB:IKE+1 ) + PRUCT(IIB+1, :, IKB-1:IKE ) ) * PDZX(IIB+1, :, IKB:IKE+1 ) * 0.25
    Z1(IIE, :, IKB:IKE+1 ) =  ( PRUCT(IIE,   :, IKB:IKE+1 ) + PRUCT(IIE,   :, IKB-1:IKE ) ) * PDZX(IIE,   :, IKB:IKE+1 ) * 0.25 &
                            + ( PRUCT(IIE+1, :, IKB:IKE+1 ) + PRUCT(IIE+1, :, IKB-1:IKE ) ) * PDZX(IIE+1, :, IKB:IKE+1 ) * 0.25
!
!*       3.4    non-CYCLIC CASE IN THE Y DIRECTION: 2nd order case
!
    Z2(:, IJB, IKB:IKE+1 ) =  ( PRVCT(:, IJB,   IKB:IKE+1 ) + PRVCT(:, IJB,   IKB-1:IKE ) ) * PDZY(:, IJB,   IKB:IKE+1 ) * 0.25 &
                            + ( PRVCT(:, IJB+1, IKB:IKE+1 ) + PRVCT(:, IJB+1, IKB-1:IKE ) ) * PDZY(:, IJB+1, IKB:IKE+1 ) * 0.25
    Z2(:, IJE, IKB:IKE+1 ) =  ( PRVCT(:, IJE,   IKB:IKE+1 ) + PRVCT(:, IJE,   IKB-1:IKE ) ) * PDZY(:, IJE,   IKB:IKE+1 ) * 0.25 &
                            + ( PRVCT(:, IJE+1, IKB:IKE+1 ) + PRVCT(:, IJE+1, IKB-1:IKE ) ) * PDZY(:, IJE+1, IKB:IKE+1 ) * 0.25
!!$  CALL GET_HALO(Z1)
!!$  CALL GET_HALO(Z2)
!!$
!!$  CALL MPPDB_CHECK3DM("contrav_device ::Z1/Z2/ PDZZ",PRECISION,Z1,Z2,PDZZ)
  PRWCT(:,:,:)=0.
  !$mnh_do_concurrent (ji=iib:iie,jj=ijb:ije,jk=ikb:ike+1)
        PRWCT(ji ,jj, jk ) = ( PRWT(ji ,jj, jk ) - Z1(ji ,jj, jk ) - Z2(ji ,jj, jk ) ) / PDZZ(ji ,jj, jk )
CALL MPPDB_CHECK3DM("contrav_device :: PRWCT/Z1/Z2",PRECISION,PRWCT,Z1,Z2)
PRWCT(:,:,1) = - PRWCT(:,:,3)     ! Mirror hypothesis
!$acc end kernels
!
IF (KADV_ORDER == 4 ) THEN
!!$!$acc exit data delete( zu_east, zv_north, zdzx_east, zdzy_north )
!!$  DEALLOCATE(ZU_EAST,ZV_NORTH,ZDZX_EAST,ZDZY_NORTH)
!!$  CALL CLEANLIST_ll(TZFIELD_U)
!!$  CALL CLEANLIST_ll(TZFIELD_V)
!!$ !!$  IF (NHALO==1) THEN
!!$    CALL CLEANLIST_ll(TZFIELD_DZX)
!!$    CALL CLEANLIST_ll(TZFIELD_DZY)
!!$    CALL DEL_HALO2_ll(TZHALO2_U)
!!$    CALL DEL_HALO2_ll(TZHALO2_V)
!!$    CALL DEL_HALO2_ll(TZHALO2_DZX)
!!$    CALL DEL_HALO2_ll(TZHALO2_DZY)
!-----------------------------------------------------------------------