[186] | 1 | MODULE trcldf_lap |
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| 2 | !!============================================================================== |
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| 3 | !! *** MODULE trcldf_lap *** |
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| 4 | !! Ocean passive tracers: horizontal component of the lateral tracer mixing trend |
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| 5 | !!============================================================================== |
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| 6 | #if defined key_passivetrc |
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| 7 | !!---------------------------------------------------------------------- |
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| 8 | !! trc_ldf_lap : update the tracer trend with the horizontal diffusion |
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| 9 | !! using a iso-level harmonic (laplacien) operator. |
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| 10 | !!---------------------------------------------------------------------- |
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| 11 | !! * Modules used |
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[202] | 12 | USE oce_trc ! ocean dynamics and active tracers variables |
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| 13 | USE trc ! ocean passive tracers variables |
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[186] | 14 | |
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| 15 | IMPLICIT NONE |
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| 16 | PRIVATE |
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| 17 | |
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| 18 | !! * Routine accessibility |
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| 19 | PUBLIC trc_ldf_lap ! routine called by step.F90 |
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| 20 | |
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| 21 | !! * Substitutions |
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| 22 | # include "passivetrc_substitute.h90" |
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| 23 | !!---------------------------------------------------------------------- |
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[274] | 24 | !! TOP 1.0, LOCEAN-IPSL (2005) |
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| 25 | !! $Header$ |
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| 26 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
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[186] | 27 | !!---------------------------------------------------------------------- |
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| 28 | |
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| 29 | CONTAINS |
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| 30 | |
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| 31 | SUBROUTINE trc_ldf_lap( kt ) |
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| 32 | !!---------------------------------------------------------------------- |
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| 33 | !! *** ROUTINE trc_ldf_lap *** |
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| 34 | !! |
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| 35 | !! ** Purpose : Compute the before horizontal tracer diffusive |
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| 36 | !! trend and add it to the general trend of tracer equation. |
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| 37 | !! |
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| 38 | !! ** Method : Second order diffusive operator evaluated using before |
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| 39 | !! fields (forward time scheme). The horizontal diffusive trends of |
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| 40 | !! the passive tracer is given by: |
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| 41 | !! * s-coordinate ('key_s_coord' defined), the vertical scale |
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| 42 | !! factors e3. are inside the derivatives: |
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| 43 | !! difft = 1/(e1t*e2t*e3t) { di-1[ aht e2u*e3u/e1u di(trb) ] |
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| 44 | !! + dj-1[ aht e1v*e3v/e2v dj(trb) ] } |
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| 45 | !! * z-coordinate (default key), e3t=e3u=e3v, the trend becomes: |
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| 46 | !! difft = 1/(e1t*e2t) { di-1[ aht e2u/e1u di(trb) ] |
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| 47 | !! + dj-1[ aht e1v/e2v dj(trb) ] } |
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| 48 | !! Add this trend to the general tracer trend tra : |
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| 49 | !! tra = tra + difft |
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| 50 | !! |
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| 51 | !! ** Action : - Update tra arrays with the before iso-level |
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| 52 | !! harmonic mixing trend. |
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| 53 | !! - Save the trends in trtrd ('key_trc_diatrd') |
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| 54 | !! |
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| 55 | !! History : |
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| 56 | !! 1.0 ! 87-06 (P. Andrich, D. L Hostis) Original code |
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| 57 | !! ! 91-11 (G. Madec) |
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| 58 | !! ! 95-02 (M. Levy) passive tracers |
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| 59 | !! ! 95-11 (G. Madec) suppress volumetric scale factors |
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| 60 | !! ! 96-01 (G. Madec) statement function for e3 |
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| 61 | !! 8.5 ! 02-06 (G. Madec) F90: Free form and module |
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| 62 | !! 9.0 ! 04-03 (C. Ethe) passive tracer |
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| 63 | !!---------------------------------------------------------------------- |
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| 64 | USE oce_trc , ztu => ua, & ! use ua as workspace |
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| 65 | & ztv => va ! use va as workspace |
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| 66 | |
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| 67 | !! * Arguments |
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| 68 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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| 69 | |
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| 70 | !! * Local save |
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| 71 | REAL(wp), DIMENSION(jpi,jpj), SAVE :: & |
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| 72 | ze1ur, ze2vr, zbtr2 ! scale factor coefficients |
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| 73 | |
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| 74 | !! * Local declarations |
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| 75 | INTEGER :: ji, jj, jk,jn ! dummy loop indices |
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| 76 | REAL(wp) :: & |
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| 77 | zabe1, zabe2, zbtr ! temporary scalars |
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| 78 | |
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| 79 | REAL(wp) :: & |
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[202] | 80 | ztra, ztrax, ztray ! workspace |
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[186] | 81 | !!---------------------------------------------------------------------- |
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| 82 | |
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| 83 | IF( kt == nittrc000 ) THEN |
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| 84 | IF(lwp) WRITE(numout,*) |
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| 85 | IF(lwp) WRITE(numout,*) 'trc_ldf_lap : iso-level laplacian diffusion' |
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| 86 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ ' |
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| 87 | ze1ur(:,:) = e2u(:,:) / e1u(:,:) |
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| 88 | ze2vr(:,:) = e1v(:,:) / e2v(:,:) |
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| 89 | zbtr2(:,:) = 1. / ( e1t(:,:) * e2t(:,:) ) |
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| 90 | ENDIF |
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| 91 | |
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| 92 | DO jn = 1, jptra |
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| 93 | |
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| 94 | ! ! ============= |
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| 95 | DO jk = 1, jpkm1 ! Vertical slab |
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| 96 | ! ! ============= |
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| 97 | ! 1. First derivative (gradient) |
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| 98 | ! ------------------- |
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| 99 | DO jj = 1, jpjm1 |
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| 100 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 101 | #if defined key_s_coord |
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| 102 | zabe1 = fsahtru(ji,jj,jk) * umask(ji,jj,jk) * ze1ur(ji,jj) * fse3u(ji,jj,jk) |
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| 103 | zabe2 = fsahtrv(ji,jj,jk) * vmask(ji,jj,jk) * ze2vr(ji,jj) * fse3v(ji,jj,jk) |
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| 104 | #else |
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| 105 | zabe1 = fsahtru(ji,jj,jk) * umask(ji,jj,jk) * ze1ur(ji,jj) |
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| 106 | zabe2 = fsahtrv(ji,jj,jk) * vmask(ji,jj,jk) * ze2vr(ji,jj) |
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| 107 | #endif |
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| 108 | ztu(ji,jj,jk) = zabe1 * ( trb(ji+1,jj ,jk,jn) - trb(ji,jj,jk,jn) ) |
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| 109 | ztv(ji,jj,jk) = zabe2 * ( trb(ji ,jj+1,jk,jn) - trb(ji,jj,jk,jn) ) |
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| 110 | END DO |
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| 111 | END DO |
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| 112 | |
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| 113 | |
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| 114 | ! 2. Second derivative (divergence) |
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| 115 | ! -------------------- |
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| 116 | DO jj = 2, jpjm1 |
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| 117 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 118 | #if defined key_s_coord |
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| 119 | zbtr = zbtr2(ji,jj) / fse3t(ji,jj,jk) |
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| 120 | #else |
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| 121 | zbtr = zbtr2(ji,jj) |
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| 122 | #endif |
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| 123 | ! horizontal diffusive trends |
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| 124 | ztrax = zbtr * ( ztu(ji,jj,jk) - ztu(ji-1,jj,jk) ) |
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| 125 | ztray = zbtr * ( ztv(ji,jj,jk) - ztv(ji,jj-1,jk) ) |
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| 126 | |
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| 127 | ! add it to the general tracer trends |
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| 128 | tra(ji,jj,jk,jn) = tra(ji,jj,jk,jn) + ztrax + ztray |
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| 129 | |
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| 130 | #if defined key_trc_diatrd |
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| 131 | ! save the horizontal diffusive trends |
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| 132 | trtrd(ji,jj,jk,jn,4) = ztrax |
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| 133 | trtrd(ji,jj,jk,jn,5) = ztray |
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| 134 | #endif |
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| 135 | END DO |
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| 136 | END DO |
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| 137 | ! ! ============= |
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| 138 | END DO ! End of slab |
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| 139 | ! ! ============= |
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| 140 | |
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[261] | 141 | IF(ln_ctl) THEN ! print mean trends (used for debugging) |
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| 142 | ztra = SUM( tra(2:nictle,2:njctle,1:jpkm1,jn) * tmask(2:nictle,2:njctle,1:jpkm1) ) |
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[202] | 143 | WRITE(numout,*) ' trc/ldf - ',ctrcnm(jn),' : ', ztra-tra_ctl(jn) |
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| 144 | tra_ctl(jn) = ztra |
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| 145 | ENDIF |
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| 146 | |
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[186] | 147 | END DO |
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| 148 | |
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| 149 | END SUBROUTINE trc_ldf_lap |
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| 150 | |
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| 151 | #else |
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| 152 | !!---------------------------------------------------------------------- |
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| 153 | !! Default option Empty module |
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| 154 | !!---------------------------------------------------------------------- |
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| 155 | CONTAINS |
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| 156 | SUBROUTINE trc_ldf_lap( kt ) |
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| 157 | INTEGER, INTENT(in) :: kt |
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| 158 | WRITE(*,*) 'trc_ldf_lap: You should not have seen this print! error?', kt |
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| 159 | END SUBROUTINE trc_ldf_lap |
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| 160 | #endif |
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| 161 | |
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| 162 | !!============================================================================== |
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| 163 | END MODULE trcldf_lap |
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