!-------------------------------------- LICENCE BEGIN ------------------------------------
!Environment Canada - Atmospheric Science and Technology License/Disclaimer, 
!                     version 3; Last Modified: May 7, 2008.
!This is free but copyrighted software; you can use/redistribute/modify it under the terms 
!of the Environment Canada - Atmospheric Science and Technology License/Disclaimer 
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!
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!See the above mentioned License/Disclaimer for more details.
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!-------------------------------------- LICENCE END --------------------------------------
***s/r adw_tricub_lag3d_tl - TLM of adw_tricub_lag3d 
*
#include "model_macros_f.h"
*

      subroutine adw_tricub_lag3d_tl ( F_out,  F_in,  F_x,  F_y,  F_z, 3
     %                                 F_outm, F_inm, F_xm, F_ym, F_zm,
     %                                 F_num, F_mono_L,i0,in,j0,jn,kn )
*
      implicit none
*
      logical F_mono_L
*
      integer F_num,i0,in,j0,jn,kn
*
      real F_in(*),F_inm(*)
*
      real F_out (F_num), F_x (F_num), F_y (F_num), F_z (F_num)
      real F_outm(F_num), F_xm(F_num), F_ym(F_num), F_zm(F_num)
*
*authors
*     Monique Tanguay
*
*     (Based on adw_tricub_tl v_3.1.1)
*
*revision
* v3_20 - Tanguay M. - initial version
* v3_21 - Tanguay M. - Revision Openmp
*
*object
*     see id section
*
*arguments
*______________________________________________________________________
*              |                                                 |     |
* NAME         | DESCRIPTION                                     | I/O |
*--------------|-------------------------------------------------|-----|
*              |                                                 |     |
* F_out        | result of interpolation                         |  o  |
* F_in         | field to interpolate                            |  i  |
*              |                                                 |     |
* F_x          | interpolation target X coordinate               |  i  |
* F_y          | interpolation target Y coordinate               |  i  |
* F_z          | interpolation target Z coordinate               |  i  |
*              |                                                 |     |
* F_num        | number of points to interpolate                 |  i  |
*              |                                                 |     |
* F_mono_L     | switch: .true. : monotonic interpolation        |  i  |
*______________|_________________________________________________|_____|
*
*implicits
#include "glb_ld.cdk"
#include "adw.cdk"
* **********************************************************************
      integer n, nijag,i,j,k,nij,iimax,jjmax,kkmax
      logical zcubic_L
*
      real prmin,  prmax,  prmin2,  prmax2 
      real prminm, prmaxm, prmin2m, prmax2m
*
      integer o1, o2, o3, o4
*
      real*8  a1m, a2m, a3m, a4m
      real*8  b1m, b2m, b3m, b4m
      real*8  c1m, c2m, c3m, c4m
      real*8  d1m, d2m, d3m, d4m
      real*8  p1m, p2m, p3m, p4m
*
      real*8  a1, a2, a3, a4
      real*8  b1, b2, b3, b4
      real*8  c1, c2, c3, c4
      real*8  d1, d2, d3, d4
      real*8  p1, p2, p3, p4
*
      integer ii,jj,kk
      real *8 triprd,za,zb,zc,zd,rri,rrj,rrk,ra,rb,rc,rd
      triprd(za,zb,zc,zd)=(za-zb)*(za-zc)*(za-zd)
*
      real *8 triprd_tl,zam,rrim,rrjm,rrkm
      triprd_tl(za,zam,zb,zc,zd)=
     %za*(zam-zc)*(zam-zd)+(zam-zb)*za*(zam-zd)+(zam-zb)*(zam-zc)*za
*
      nij   = l_ni*l_nj
      nijag = Adw_nit * Adw_njt
*
      iimax = G_ni+2*Adw_halox-2
      jjmax = G_nj+Adw_haloy
      kkmax = l_nk-1
*
      if(F_mono_L) then
*
!$omp do
      do 100 k=1,kn
      do  90 j=j0,jn
      do  80 i=i0,in
      n = (k-1)*nij + ((j-1)*l_ni) + i
*
*     TRAJECTORY
*     ----------
      rrim= F_xm(n)
      ii = ( rrim - Adw_x00_8 ) * Adw_ovdx_8
      ii = Adw_lcx( ii+1 ) + 1
      if ( rrim .lt. Adw_bsx_8(ii) ) ii = ii - 1
      ii = max(2,min(ii,iimax))
*
*     TLM
*     ---
      rri= F_x(n)
*
*     TRAJECTORY
*     ----------
      rrjm= F_ym(n)
      jj = ( rrjm - Adw_y00_8 ) * Adw_ovdy_8
      jj = Adw_lcy( jj+1 ) + 1
      if ( rrjm .lt. Adw_bsy_8(jj) ) jj = jj - 1
      jj = max(Adw_haloy,min(jj,jjmax))
*
*     TLM
*     ---
      rrj= F_y(n)
*
*     TRAJECTORY
*     ----------
      rrkm= F_zm(n)
      kk = ( rrkm - Adw_z00_8 ) * Adw_ovdz_8
      kk = Adw_lcz( kk+1 )
      if ( rrkm .lt. Adw_bsz_8(kk) ) kk = kk - 1
      kk = min(kkmax-1,max(0,kk))
*
*     TLM
*     ---
      rrk= F_z(n)
*
      zcubic_L = (kk.gt.0) .and. (kk.lt.kkmax-1)
*
* *********************************************************************
*     x interpolation
* *********************************************************************
*
*     TRAJECTORY
*     ----------
      ra = Adw_bsx_8(ii-1)
      rb = Adw_bsx_8(ii  )
      rc = Adw_bsx_8(ii+1)
      rd = Adw_bsx_8(ii+2)
*
      p1m = triprd(rrim,rb,rc,rd)*Adw_xabcd_8(ii)
      p2m = triprd(rrim,ra,rc,rd)*Adw_xbacd_8(ii)
      p3m = triprd(rrim,ra,rb,rd)*Adw_xcabd_8(ii)
      p4m = triprd(rrim,ra,rb,rc)*Adw_xdabc_8(ii)
*
*     TLM 
*     ---
      p1 = triprd_tl(rri,rrim,rb,rc,rd)*Adw_xabcd_8(ii)
      p2 = triprd_tl(rri,rrim,ra,rc,rd)*Adw_xbacd_8(ii)
      p3 = triprd_tl(rri,rrim,ra,rb,rd)*Adw_xcabd_8(ii)
      p4 = triprd_tl(rri,rrim,ra,rb,rc)*Adw_xdabc_8(ii)
*
      o2 = (kk-1)*nijag + (jj-Adw_int_j_off-1)*Adw_nit + (ii-Adw_int_i_off)
      o1 = o2-Adw_nit
      o3 = o2+Adw_nit
      o4 = o3+Adw_nit
*
      if(zcubic_L) then
*
*     TRAJECTORY
*     ----------
      a1m = p1m * F_inm (o1-1) + p2m * F_inm (o1) + p3m * F_inm (o1+1) + p4m * F_inm (o1+2)
      a2m = p1m * F_inm (o2-1) + p2m * F_inm (o2) + p3m * F_inm (o2+1) + p4m * F_inm (o2+2)
      a3m = p1m * F_inm (o3-1) + p2m * F_inm (o3) + p3m * F_inm (o3+1) + p4m * F_inm (o3+2)
      a4m = p1m * F_inm (o4-1) + p2m * F_inm (o4) + p3m * F_inm (o4+1) + p4m * F_inm (o4+2)
*
*     TLM 
*     ---
      a1  = p1  * F_inm (o1-1) + p2  * F_inm (o1) + p3  * F_inm (o1+1) + p4  * F_inm (o1+2)
     %    + p1m * F_in  (o1-1) + p2m * F_in  (o1) + p3m * F_in  (o1+1) + p4m * F_in  (o1+2)
      a2  = p1  * F_inm (o2-1) + p2  * F_inm (o2) + p3  * F_inm (o2+1) + p4  * F_inm (o2+2)
     %    + p1m * F_in  (o2-1) + p2m * F_in  (o2) + p3m * F_in  (o2+1) + p4m * F_in  (o2+2)
      a3  = p1  * F_inm (o3-1) + p2  * F_inm (o3) + p3  * F_inm (o3+1) + p4  * F_inm (o3+2)
     %    + p1m * F_in  (o3-1) + p2m * F_in  (o3) + p3m * F_in  (o3+1) + p4m * F_in  (o3+2)
      a4  = p1  * F_inm (o4-1) + p2  * F_inm (o4) + p3  * F_inm (o4+1) + p4  * F_inm (o4+2)
     %    + p1m * F_in  (o4-1) + p2m * F_in  (o4) + p3m * F_in  (o4+1) + p4m * F_in  (o4+2)
      endif
*
      o1 = o1 + nijag
      o2 = o2 + nijag
      o3 = o3 + nijag
      o4 = o4 + nijag
*
      prmax = max(F_in(o2),F_in(o2+1),F_in(o3),F_in(o3+1))
      prmin = min(F_in(o2),F_in(o2+1),F_in(o3),F_in(o3+1))
*
*     TRAJECTORY and TLM
*     ------------------
      prmaxm = F_inm(o2)  
      prmax  = F_in (o2)  
      if(F_inm(o2+1).gt.prmaxm) then
         prmaxm = F_inm(o2+1)
         prmax  = F_in (o2+1)
      endif
      if(F_inm(o3)  .gt.prmaxm) then
         prmaxm = F_inm(o3)
         prmax  = F_in (o3)
      endif
      if(F_inm(o3+1).gt.prmaxm) then
         prmaxm = F_inm(o3+1)
         prmax  = F_in (o3+1)
      endif
*
      prminm = F_inm(o2)
      prmin  = F_in (o2)
      if(F_inm(o2+1).lt.prminm) then
         prminm = F_inm(o2+1)
         prmin  = F_in (o2+1)
      endif
      if(F_inm(o3)  .lt.prminm) then
         prminm = F_inm(o3)
         prmin  = F_in (o3)
      endif
      if(F_inm(o3+1).lt.prminm) then
         prminm = F_inm(o3+1)
         prmin  = F_in (o3+1)
      endif
*
*     TRAJECTORY
*     ----------
      b1m = p1m * F_inm (o1-1) + p2m * F_inm (o1) + p3m * F_inm (o1+1) + p4m * F_inm (o1+2)
      b2m = p1m * F_inm (o2-1) + p2m * F_inm (o2) + p3m * F_inm (o2+1) + p4m * F_inm (o2+2)
      b3m = p1m * F_inm (o3-1) + p2m * F_inm (o3) + p3m * F_inm (o3+1) + p4m * F_inm (o3+2)
      b4m = p1m * F_inm (o4-1) + p2m * F_inm (o4) + p3m * F_inm (o4+1) + p4m * F_inm (o4+2)
*
*     TLM 
*     ---
      b1  = p1  * F_inm (o1-1) + p2  * F_inm (o1) + p3  * F_inm (o1+1) + p4  * F_inm (o1+2)
     %    + p1m * F_in  (o1-1) + p2m * F_in  (o1) + p3m * F_in  (o1+1) + p4m * F_in  (o1+2)
      b2  = p1  * F_inm (o2-1) + p2  * F_inm (o2) + p3  * F_inm (o2+1) + p4  * F_inm (o2+2)
     %    + p1m * F_in  (o2-1) + p2m * F_in  (o2) + p3m * F_in  (o2+1) + p4m * F_in  (o2+2)
      b3  = p1  * F_inm (o3-1) + p2  * F_inm (o3) + p3  * F_inm (o3+1) + p4  * F_inm (o3+2)
     %    + p1m * F_in  (o3-1) + p2m * F_in  (o3) + p3m * F_in  (o3+1) + p4m * F_in  (o3+2)
      b4  = p1  * F_inm (o4-1) + p2  * F_inm (o4) + p3  * F_inm (o4+1) + p4  * F_inm (o4+2)
     %    + p1m * F_in  (o4-1) + p2m * F_in  (o4) + p3m * F_in  (o4+1) + p4m * F_in  (o4+2)
*
      o1 = o1 + nijag
      o2 = o2 + nijag
      o3 = o3 + nijag
      o4 = o4 + nijag
*
*     TRAJECTORY and TLM
*     ------------------
      if(F_inm(o2)  .gt.prmaxm) then
         prmaxm = F_inm(o2)
         prmax  = F_in (o2)
      endif
      if(F_inm(o2+1).gt.prmaxm) then
         prmaxm = F_inm(o2+1)
         prmax  = F_in (o2+1)
      endif
      if(F_inm(o3)  .gt.prmaxm) then
         prmaxm = F_inm(o3)
         prmax  = F_in (o3)
      endif
      if(F_inm(o3+1).gt.prmaxm) then
         prmaxm = F_inm(o3+1)
         prmax  = F_in (o3+1)
      endif
*
      if(F_inm(o2)  .lt.prminm) then
         prminm = F_inm(o2)
         prmin  = F_in (o2)
      endif
      if(F_inm(o2+1).lt.prminm) then
         prminm = F_inm(o2+1)
         prmin  = F_in (o2+1)
      endif
      if(F_inm(o3)  .lt.prminm) then
         prminm = F_inm(o3)
         prmin  = F_in (o3)
      endif
      if(F_inm(o3+1).lt.prminm) then
         prminm = F_inm(o3+1)
         prmin  = F_in (o3+1)
      endif
*
*     TRAJECTORY
*     ----------
      c1m = p1m * F_inm (o1-1) + p2m * F_inm (o1) + p3m * F_inm (o1+1) + p4m * F_inm (o1+2)
      c2m = p1m * F_inm (o2-1) + p2m * F_inm (o2) + p3m * F_inm (o2+1) + p4m * F_inm (o2+2)
      c3m = p1m * F_inm (o3-1) + p2m * F_inm (o3) + p3m * F_inm (o3+1) + p4m * F_inm (o3+2)
      c4m = p1m * F_inm (o4-1) + p2m * F_inm (o4) + p3m * F_inm (o4+1) + p4m * F_inm (o4+2)
*
*     TLM 
*     ---
      c1  = p1  * F_inm (o1-1) + p2  * F_inm (o1) + p3  * F_inm (o1+1) + p4  * F_inm (o1+2)
     %    + p1m * F_in  (o1-1) + p2m * F_in  (o1) + p3m * F_in  (o1+1) + p4m * F_in  (o1+2)
      c2  = p1  * F_inm (o2-1) + p2  * F_inm (o2) + p3  * F_inm (o2+1) + p4  * F_inm (o2+2)
     %    + p1m * F_in  (o2-1) + p2m * F_in  (o2) + p3m * F_in  (o2+1) + p4m * F_in  (o2+2)
      c3  = p1  * F_inm (o3-1) + p2  * F_inm (o3) + p3  * F_inm (o3+1) + p4  * F_inm (o3+2)
     %    + p1m * F_in  (o3-1) + p2m * F_in  (o3) + p3m * F_in  (o3+1) + p4m * F_in  (o3+2)
      c4  = p1  * F_inm (o4-1) + p2  * F_inm (o4) + p3  * F_inm (o4+1) + p4  * F_inm (o4+2)
     %    + p1m * F_in  (o4-1) + p2m * F_in  (o4) + p3m * F_in  (o4+1) + p4m * F_in  (o4+2)
*
      o1 = o1 + nijag
      o2 = o2 + nijag
      o3 = o3 + nijag
      o4 = o4 + nijag
*
      if(zcubic_L) then
*
*     TRAJECTORY
*     ----------
      d1m = p1m * F_inm (o1-1) + p2m * F_inm (o1) + p3m * F_inm (o1+1) + p4m * F_inm (o1+2)
      d2m = p1m * F_inm (o2-1) + p2m * F_inm (o2) + p3m * F_inm (o2+1) + p4m * F_inm (o2+2)
      d3m = p1m * F_inm (o3-1) + p2m * F_inm (o3) + p3m * F_inm (o3+1) + p4m * F_inm (o3+2)
      d4m = p1m * F_inm (o4-1) + p2m * F_inm (o4) + p3m * F_inm (o4+1) + p4m * F_inm (o4+2)
*
*     TLM 
*     ---
      d1  = p1  * F_inm (o1-1) + p2  * F_inm (o1) + p3  * F_inm (o1+1) + p4  * F_inm (o1+2)
     %    + p1m * F_in  (o1-1) + p2m * F_in  (o1) + p3m * F_in  (o1+1) + p4m * F_in  (o1+2)
      d2  = p1  * F_inm (o2-1) + p2  * F_inm (o2) + p3  * F_inm (o2+1) + p4  * F_inm (o2+2)
     %    + p1m * F_in  (o2-1) + p2m * F_in  (o2) + p3m * F_in  (o2+1) + p4m * F_in  (o2+2)
      d3  = p1  * F_inm (o3-1) + p2  * F_inm (o3) + p3  * F_inm (o3+1) + p4  * F_inm (o3+2)
     %    + p1m * F_in  (o3-1) + p2m * F_in  (o3) + p3m * F_in  (o3+1) + p4m * F_in  (o3+2)
      d4  = p1  * F_inm (o4-1) + p2  * F_inm (o4) + p3  * F_inm (o4+1) + p4  * F_inm (o4+2)
     %    + p1m * F_in  (o4-1) + p2m * F_in  (o4) + p3m * F_in  (o4+1) + p4m * F_in  (o4+2)
      endif
* *********************************************************************
*     y interpolation
* *********************************************************************
      ra = Adw_bsy_8(jj-1)
      rb = Adw_bsy_8(jj  )
      rc = Adw_bsy_8(jj+1)
      rd = Adw_bsy_8(jj+2)
*
*     TRAJECTORY
*     ----------
      p1m = triprd(rrjm,rb,rc,rd)*Adw_yabcd_8(jj)
      p2m = triprd(rrjm,ra,rc,rd)*Adw_ybacd_8(jj)
      p3m = triprd(rrjm,ra,rb,rd)*Adw_ycabd_8(jj)
      p4m = triprd(rrjm,ra,rb,rc)*Adw_ydabc_8(jj)
*
*     TLM 
*     ---
      p1 = triprd_tl(rrj,rrjm,rb,rc,rd)*Adw_yabcd_8(jj)
      p2 = triprd_tl(rrj,rrjm,ra,rc,rd)*Adw_ybacd_8(jj)
      p3 = triprd_tl(rrj,rrjm,ra,rb,rd)*Adw_ycabd_8(jj)
      p4 = triprd_tl(rrj,rrjm,ra,rb,rc)*Adw_ydabc_8(jj)
*
*     TLM
*     ---
      if(zcubic_L)a1  = p1  * a1m + p2  * a2m + p3  * a3m + p4  * a4m
     %                + p1m * a1  + p2m * a2  + p3m * a3  + p4m * a4
      b1  = p1  * b1m + p2  * b2m + p3  * b3m + p4  * b4m
     %    + p1m * b1  + p2m * b2  + p3m * b3  + p4m * b4
      c1  = p1  * c1m + p2  * c2m + p3  * c3m + p4  * c4m
     %    + p1m * c1  + p2m * c2  + p3m * c3  + p4m * c4
      if(zcubic_L)d1  = p1  * d1m + p2  * d2m + p3  * d3m + p4  * d4m
     %                + p1m * d1  + p2m * d2  + p3m * d3  + p4m * d4
*
*     TRAJECTORY
*     ----------
      if(zcubic_L)a1m = p1m * a1m + p2m * a2m + p3m * a3m + p4m * a4m
      b1m = p1m * b1m + p2m * b2m + p3m * b3m + p4m * b4m
      c1m = p1m * c1m + p2m * c2m + p3m * c3m + p4m * c4m
      if(zcubic_L)d1m = p1m * d1m + p2m * d2m + p3m * d3m + p4m * d4m
* *********************************************************************
*     z interpolation
* *********************************************************************
      if(zcubic_L) then
      ra = Adw_bsz_8(kk-1)
      rb = Adw_bsz_8(kk  )
      rc = Adw_bsz_8(kk+1)
      rd = Adw_bsz_8(kk+2)
*
*     TRAJECTORY
*     ----------
      p1m = triprd(rrkm,rb,rc,rd)*Adw_zabcd_8(kk+1)
      p2m = triprd(rrkm,ra,rc,rd)*Adw_zbacd_8(kk+1)
      p3m = triprd(rrkm,ra,rb,rd)*Adw_zcabd_8(kk+1)
      p4m = triprd(rrkm,ra,rb,rc)*Adw_zdabc_8(kk+1)
*
*     TLM
*     ---
      p1 = triprd_tl(rrk,rrkm,rb,rc,rd)*Adw_zabcd_8(kk+1)
      p2 = triprd_tl(rrk,rrkm,ra,rc,rd)*Adw_zbacd_8(kk+1)
      p3 = triprd_tl(rrk,rrkm,ra,rb,rd)*Adw_zcabd_8(kk+1)
      p4 = triprd_tl(rrk,rrkm,ra,rb,rc)*Adw_zdabc_8(kk+1)
*
*     TRAJECTORY
*     ----------
      F_outm(n) = p1m * a1m + p2m * b1m + p3m * c1m + p4m * d1m 
*
*     TLM
*     ---
      F_out(n)  = p1  * a1m + p2  * b1m + p3  * c1m + p4  * d1m 
     %          + p1m * a1  + p2m * b1  + p3m * c1  + p4m * d1 
*
      else
*
*     TRAJECTORY
*     ----------
      p3m = (rrkm-Adw_bsz_8(kk))*Adw_zbc_8(kk+1)
      p2m = 1. - p3m
*
*     TLM
*     ---
      p3 = (rrk)*Adw_zbc_8(kk+1)
      p2 = - p3
*
*     TRAJECTORY
*     ----------
      F_outm(n) = p2m * b1m + p3m * c1m
*
*     TLM
*     ---
      F_out(n) = p2  * b1m + p3  * c1m
     %         + p2m * b1  + p3m * c1
*
      endif
*
*        TRAJECTORY and TLM
*        ------------------
         if(F_outm(n).gt.prmaxm) then
            F_outm(n) = prmaxm
            F_out (n) = prmax
         endif
         if(F_outm(n).lt.prminm) then
            F_outm(n) = prminm
            F_out (n) = prmin
         endif
*
   80 continue
   90 continue
  100 continue
!$omp enddo
*
      else
*
!$omp do
      do 101 k=1,kn
      do  91 j=j0,jn
      do  81 i=i0,in
      n = (k-1)*nij + ((j-1)*l_ni) + i
*
*     TRAJECTORY
*     ----------
      rrim= F_xm(n)
      ii = ( rrim - Adw_x00_8 ) * Adw_ovdx_8
      ii = Adw_lcx( ii+1 ) + 1
      if ( rrim .lt. Adw_bsx_8(ii) ) ii = ii - 1
      ii = max(2,min(ii,iimax))
*
*     TLM
*     ---
      rri= F_x(n)
*
*     TRAJECTORY
*     ----------
      rrjm= F_ym(n)
      jj = ( rrjm - Adw_y00_8 ) * Adw_ovdy_8
      jj = Adw_lcy( jj+1 ) + 1
      if ( rrjm .lt. Adw_bsy_8(jj) ) jj = jj - 1
      jj = max(Adw_haloy,min(jj,jjmax))
*
*     TLM
*     ---
      rrj= F_y(n)
*
*     TRAJECTORY
*     ----------
      rrkm= F_zm(n)
      kk = ( rrkm - Adw_z00_8 ) * Adw_ovdz_8
      kk = Adw_lcz( kk+1 )
      if ( rrkm .lt. Adw_bsz_8(kk) ) kk = kk - 1
      kk = min(kkmax-1,max(0,kk))
*
*     TLM
*     ---
      rrk= F_z(n)
*
      zcubic_L = (kk.gt.0) .and. (kk.lt.kkmax-1)
*
* *********************************************************************
*     x interpolation
* *********************************************************************
*
*     TRAJECTORY
*     ----------
      ra = Adw_bsx_8(ii-1)
      rb = Adw_bsx_8(ii  )
      rc = Adw_bsx_8(ii+1)
      rd = Adw_bsx_8(ii+2)
*
      p1m = triprd(rrim,rb,rc,rd)*Adw_xabcd_8(ii)
      p2m = triprd(rrim,ra,rc,rd)*Adw_xbacd_8(ii)
      p3m = triprd(rrim,ra,rb,rd)*Adw_xcabd_8(ii)
      p4m = triprd(rrim,ra,rb,rc)*Adw_xdabc_8(ii)
*
*     TLM 
*     ---
      p1 = triprd_tl(rri,rrim,rb,rc,rd)*Adw_xabcd_8(ii)
      p2 = triprd_tl(rri,rrim,ra,rc,rd)*Adw_xbacd_8(ii)
      p3 = triprd_tl(rri,rrim,ra,rb,rd)*Adw_xcabd_8(ii)
      p4 = triprd_tl(rri,rrim,ra,rb,rc)*Adw_xdabc_8(ii)
*
      o2 = (kk-1)*nijag + (jj-Adw_int_j_off-1)*Adw_nit + (ii-Adw_int_i_off)
      o1 = o2-Adw_nit
      o3 = o2+Adw_nit
      o4 = o3+Adw_nit
*
      if(zcubic_L) then
*
*     TRAJECTORY
*     ----------
      a1m = p1m * F_inm (o1-1) + p2m * F_inm (o1) + p3m * F_inm (o1+1) + p4m * F_inm (o1+2)
      a2m = p1m * F_inm (o2-1) + p2m * F_inm (o2) + p3m * F_inm (o2+1) + p4m * F_inm (o2+2)
      a3m = p1m * F_inm (o3-1) + p2m * F_inm (o3) + p3m * F_inm (o3+1) + p4m * F_inm (o3+2)
      a4m = p1m * F_inm (o4-1) + p2m * F_inm (o4) + p3m * F_inm (o4+1) + p4m * F_inm (o4+2)
*
*     TLM 
*     ---
      a1  = p1  * F_inm (o1-1) + p2  * F_inm (o1) + p3  * F_inm (o1+1) + p4  * F_inm (o1+2)
     %    + p1m * F_in  (o1-1) + p2m * F_in  (o1) + p3m * F_in  (o1+1) + p4m * F_in  (o1+2)
      a2  = p1  * F_inm (o2-1) + p2  * F_inm (o2) + p3  * F_inm (o2+1) + p4  * F_inm (o2+2)
     %    + p1m * F_in  (o2-1) + p2m * F_in  (o2) + p3m * F_in  (o2+1) + p4m * F_in  (o2+2)
      a3  = p1  * F_inm (o3-1) + p2  * F_inm (o3) + p3  * F_inm (o3+1) + p4  * F_inm (o3+2)
     %    + p1m * F_in  (o3-1) + p2m * F_in  (o3) + p3m * F_in  (o3+1) + p4m * F_in  (o3+2)
      a4  = p1  * F_inm (o4-1) + p2  * F_inm (o4) + p3  * F_inm (o4+1) + p4  * F_inm (o4+2)
     %    + p1m * F_in  (o4-1) + p2m * F_in  (o4) + p3m * F_in  (o4+1) + p4m * F_in  (o4+2)
      endif
*
      o1 = o1 + nijag
      o2 = o2 + nijag
      o3 = o3 + nijag
      o4 = o4 + nijag
*
      prmax = max(F_in(o2),F_in(o2+1),F_in(o3),F_in(o3+1))
      prmin = min(F_in(o2),F_in(o2+1),F_in(o3),F_in(o3+1))
*
*     TRAJECTORY
*     ----------
      b1m = p1m * F_inm (o1-1) + p2m * F_inm (o1) + p3m * F_inm (o1+1) + p4m * F_inm (o1+2)
      b2m = p1m * F_inm (o2-1) + p2m * F_inm (o2) + p3m * F_inm (o2+1) + p4m * F_inm (o2+2)
      b3m = p1m * F_inm (o3-1) + p2m * F_inm (o3) + p3m * F_inm (o3+1) + p4m * F_inm (o3+2)
      b4m = p1m * F_inm (o4-1) + p2m * F_inm (o4) + p3m * F_inm (o4+1) + p4m * F_inm (o4+2)
*
*     TLM 
*     ---
      b1  = p1  * F_inm (o1-1) + p2  * F_inm (o1) + p3  * F_inm (o1+1) + p4  * F_inm (o1+2)
     %    + p1m * F_in  (o1-1) + p2m * F_in  (o1) + p3m * F_in  (o1+1) + p4m * F_in  (o1+2)
      b2  = p1  * F_inm (o2-1) + p2  * F_inm (o2) + p3  * F_inm (o2+1) + p4  * F_inm (o2+2)
     %    + p1m * F_in  (o2-1) + p2m * F_in  (o2) + p3m * F_in  (o2+1) + p4m * F_in  (o2+2)
      b3  = p1  * F_inm (o3-1) + p2  * F_inm (o3) + p3  * F_inm (o3+1) + p4  * F_inm (o3+2)
     %    + p1m * F_in  (o3-1) + p2m * F_in  (o3) + p3m * F_in  (o3+1) + p4m * F_in  (o3+2)
      b4  = p1  * F_inm (o4-1) + p2  * F_inm (o4) + p3  * F_inm (o4+1) + p4  * F_inm (o4+2)
     %    + p1m * F_in  (o4-1) + p2m * F_in  (o4) + p3m * F_in  (o4+1) + p4m * F_in  (o4+2)
*
      o1 = o1 + nijag
      o2 = o2 + nijag
      o3 = o3 + nijag
      o4 = o4 + nijag
*
*     TRAJECTORY
*     ----------
      c1m = p1m * F_inm (o1-1) + p2m * F_inm (o1) + p3m * F_inm (o1+1) + p4m * F_inm (o1+2)
      c2m = p1m * F_inm (o2-1) + p2m * F_inm (o2) + p3m * F_inm (o2+1) + p4m * F_inm (o2+2)
      c3m = p1m * F_inm (o3-1) + p2m * F_inm (o3) + p3m * F_inm (o3+1) + p4m * F_inm (o3+2)
      c4m = p1m * F_inm (o4-1) + p2m * F_inm (o4) + p3m * F_inm (o4+1) + p4m * F_inm (o4+2)
*
*     TLM 
*     ---
      c1  = p1  * F_inm (o1-1) + p2  * F_inm (o1) + p3  * F_inm (o1+1) + p4  * F_inm (o1+2)
     %    + p1m * F_in  (o1-1) + p2m * F_in  (o1) + p3m * F_in  (o1+1) + p4m * F_in  (o1+2)
      c2  = p1  * F_inm (o2-1) + p2  * F_inm (o2) + p3  * F_inm (o2+1) + p4  * F_inm (o2+2)
     %    + p1m * F_in  (o2-1) + p2m * F_in  (o2) + p3m * F_in  (o2+1) + p4m * F_in  (o2+2)
      c3  = p1  * F_inm (o3-1) + p2  * F_inm (o3) + p3  * F_inm (o3+1) + p4  * F_inm (o3+2)
     %    + p1m * F_in  (o3-1) + p2m * F_in  (o3) + p3m * F_in  (o3+1) + p4m * F_in  (o3+2)
      c4  = p1  * F_inm (o4-1) + p2  * F_inm (o4) + p3  * F_inm (o4+1) + p4  * F_inm (o4+2)
     %    + p1m * F_in  (o4-1) + p2m * F_in  (o4) + p3m * F_in  (o4+1) + p4m * F_in  (o4+2)
*
      o1 = o1 + nijag
      o2 = o2 + nijag
      o3 = o3 + nijag
      o4 = o4 + nijag
*
      if(zcubic_L) then
*
*     TRAJECTORY
*     ----------
      d1m = p1m * F_inm (o1-1) + p2m * F_inm (o1) + p3m * F_inm (o1+1) + p4m * F_inm (o1+2)
      d2m = p1m * F_inm (o2-1) + p2m * F_inm (o2) + p3m * F_inm (o2+1) + p4m * F_inm (o2+2)
      d3m = p1m * F_inm (o3-1) + p2m * F_inm (o3) + p3m * F_inm (o3+1) + p4m * F_inm (o3+2)
      d4m = p1m * F_inm (o4-1) + p2m * F_inm (o4) + p3m * F_inm (o4+1) + p4m * F_inm (o4+2)
*
*     TLM 
*     ---
      d1  = p1  * F_inm (o1-1) + p2  * F_inm (o1) + p3  * F_inm (o1+1) + p4  * F_inm (o1+2)
     %    + p1m * F_in  (o1-1) + p2m * F_in  (o1) + p3m * F_in  (o1+1) + p4m * F_in  (o1+2)
      d2  = p1  * F_inm (o2-1) + p2  * F_inm (o2) + p3  * F_inm (o2+1) + p4  * F_inm (o2+2)
     %    + p1m * F_in  (o2-1) + p2m * F_in  (o2) + p3m * F_in  (o2+1) + p4m * F_in  (o2+2)
      d3  = p1  * F_inm (o3-1) + p2  * F_inm (o3) + p3  * F_inm (o3+1) + p4  * F_inm (o3+2)
     %    + p1m * F_in  (o3-1) + p2m * F_in  (o3) + p3m * F_in  (o3+1) + p4m * F_in  (o3+2)
      d4  = p1  * F_inm (o4-1) + p2  * F_inm (o4) + p3  * F_inm (o4+1) + p4  * F_inm (o4+2)
     %    + p1m * F_in  (o4-1) + p2m * F_in  (o4) + p3m * F_in  (o4+1) + p4m * F_in  (o4+2)
      endif
* *********************************************************************
*     y interpolation
* *********************************************************************
      ra = Adw_bsy_8(jj-1)
      rb = Adw_bsy_8(jj  )
      rc = Adw_bsy_8(jj+1)
      rd = Adw_bsy_8(jj+2)
*
*     TRAJECTORY
*     ----------
      p1m = triprd(rrjm,rb,rc,rd)*Adw_yabcd_8(jj)
      p2m = triprd(rrjm,ra,rc,rd)*Adw_ybacd_8(jj)
      p3m = triprd(rrjm,ra,rb,rd)*Adw_ycabd_8(jj)
      p4m = triprd(rrjm,ra,rb,rc)*Adw_ydabc_8(jj)
*
*     TLM 
*     ---
      p1 = triprd_tl(rrj,rrjm,rb,rc,rd)*Adw_yabcd_8(jj)
      p2 = triprd_tl(rrj,rrjm,ra,rc,rd)*Adw_ybacd_8(jj)
      p3 = triprd_tl(rrj,rrjm,ra,rb,rd)*Adw_ycabd_8(jj)
      p4 = triprd_tl(rrj,rrjm,ra,rb,rc)*Adw_ydabc_8(jj)
*
*     TLM
*     ---
      if(zcubic_L)a1  = p1  * a1m + p2  * a2m + p3  * a3m + p4  * a4m
     %                + p1m * a1  + p2m * a2  + p3m * a3  + p4m * a4
      b1  = p1  * b1m + p2  * b2m + p3  * b3m + p4  * b4m
     %    + p1m * b1  + p2m * b2  + p3m * b3  + p4m * b4
      c1  = p1  * c1m + p2  * c2m + p3  * c3m + p4  * c4m
     %    + p1m * c1  + p2m * c2  + p3m * c3  + p4m * c4
      if(zcubic_L)d1  = p1  * d1m + p2  * d2m + p3  * d3m + p4  * d4m
     %                + p1m * d1  + p2m * d2  + p3m * d3  + p4m * d4
*
*     TRAJECTORY
*     ----------
      if(zcubic_L)a1m = p1m * a1m + p2m * a2m + p3m * a3m + p4m * a4m
      b1m = p1m * b1m + p2m * b2m + p3m * b3m + p4m * b4m
      c1m = p1m * c1m + p2m * c2m + p3m * c3m + p4m * c4m
      if(zcubic_L)d1m = p1m * d1m + p2m * d2m + p3m * d3m + p4m * d4m
* *********************************************************************
*     z interpolation
* *********************************************************************
      if(zcubic_L) then
      ra = Adw_bsz_8(kk-1)
      rb = Adw_bsz_8(kk  )
      rc = Adw_bsz_8(kk+1)
      rd = Adw_bsz_8(kk+2)
*
*     TRAJECTORY
*     ----------
      p1m = triprd(rrkm,rb,rc,rd)*Adw_zabcd_8(kk+1)
      p2m = triprd(rrkm,ra,rc,rd)*Adw_zbacd_8(kk+1)
      p3m = triprd(rrkm,ra,rb,rd)*Adw_zcabd_8(kk+1)
      p4m = triprd(rrkm,ra,rb,rc)*Adw_zdabc_8(kk+1)
*
*     TLM
*     ---
      p1 = triprd_tl(rrk,rrkm,rb,rc,rd)*Adw_zabcd_8(kk+1)
      p2 = triprd_tl(rrk,rrkm,ra,rc,rd)*Adw_zbacd_8(kk+1)
      p3 = triprd_tl(rrk,rrkm,ra,rb,rd)*Adw_zcabd_8(kk+1)
      p4 = triprd_tl(rrk,rrkm,ra,rb,rc)*Adw_zdabc_8(kk+1)
*
*     TRAJECTORY
*     ----------
      F_outm(n) = p1m * a1m + p2m * b1m + p3m * c1m + p4m * d1m 
*
*     TLM
*     ---
      F_out(n)  = p1  * a1m + p2  * b1m + p3  * c1m + p4  * d1m 
     %          + p1m * a1  + p2m * b1  + p3m * c1  + p4m * d1 
*
      else
*
*     TRAJECTORY
*     ----------
      p3m = (rrkm-Adw_bsz_8(kk))*Adw_zbc_8(kk+1)
      p2m = 1. - p3m
*
*     TLM
*     ---
      p3 = (rrk)*Adw_zbc_8(kk+1)
      p2 = - p3
*
*     TRAJECTORY
*     ----------
      F_outm(n) = p2m * b1m + p3m * c1m
*
*     TLM
*     ---
      F_out(n) = p2  * b1m + p3  * c1m
     %         + p2m * b1  + p3m * c1
*
      endif
*
   81 continue
   91 continue
  101 continue
!$omp enddo
*
      endif
      return
      end