| 1 | MODULE optci_mod |
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| 2 | |
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| 3 | IMPLICIT NONE |
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| 4 | |
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| 5 | CONTAINS |
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| 6 | |
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| 7 | subroutine optci(PLEV,TLEV,DTAUI,TAUCUMI, & |
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| 8 | QXIAER,QSIAER,GIAER,COSBI,WBARI,TAUAERO, & |
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| 9 | TMID,PMID,TAUGSURF,QVAR,MUVAR) |
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| 10 | |
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| 11 | use radinc_h, only: L_LEVELS, L_NLAYRAD, L_NSPECTI, L_NGAUSS, & |
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| 12 | L_NLEVRAD, L_REFVAR, naerkind |
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| 13 | use radcommon_h, only: gasi,tlimit,wrefVAR,Cmk,tgasref,pfgasref,wnoi,scalep,indi,glat_ig |
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| 14 | use gases_h, only: gfrac, ngasmx, igas_N2, igas_He, igas_H2O, igas_H2 |
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| 15 | use comcstfi_mod, only: g, r, mugaz |
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| 16 | use callkeys_mod, only: kastprof,continuum,graybody |
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| 17 | implicit none |
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| 18 | |
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| 19 | !================================================================== |
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| 20 | ! |
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| 21 | ! Purpose |
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| 22 | ! ------- |
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| 23 | ! Calculates longwave optical constants at each level. For each |
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| 24 | ! layer and spectral interval in the IR it calculates WBAR, DTAU |
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| 25 | ! and COSBAR. For each level it calculates TAU. |
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| 26 | ! |
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| 27 | ! TAUCUMI(L,LW) is the cumulative optical depth at level L (or alternatively |
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| 28 | ! at the *bottom* of layer L), LW is the spectral wavelength interval. |
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| 29 | ! |
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| 30 | ! TLEV(L) - Temperature at the layer boundary (i.e., level) |
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| 31 | ! PLEV(L) - Pressure at the layer boundary (i.e., level) |
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| 32 | ! |
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| 33 | ! Authors |
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| 34 | ! ------- |
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| 35 | ! Adapted from the NASA Ames code by R. Wordsworth (2009) |
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| 36 | ! |
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| 37 | !================================================================== |
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| 38 | |
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| 39 | |
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| 40 | real*8 DTAUI(L_NLAYRAD,L_NSPECTI,L_NGAUSS) |
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| 41 | real*8 DTAUKI(L_LEVELS,L_NSPECTI,L_NGAUSS) |
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| 42 | real*8 TAUI(L_NLEVRAD,L_NSPECTI,L_NGAUSS) |
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| 43 | real*8 TAUCUMI(L_LEVELS,L_NSPECTI,L_NGAUSS) |
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| 44 | real*8 PLEV(L_LEVELS) |
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| 45 | real*8 TLEV(L_LEVELS) |
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| 46 | real*8 TMID(L_LEVELS), PMID(L_LEVELS) |
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| 47 | real*8 COSBI(L_NLAYRAD,L_NSPECTI,L_NGAUSS) |
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| 48 | real*8 WBARI(L_NLAYRAD,L_NSPECTI,L_NGAUSS) |
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| 49 | |
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| 50 | ! for aerosols |
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| 51 | real*8 QXIAER(L_LEVELS,L_NSPECTI,NAERKIND) |
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| 52 | real*8 QSIAER(L_LEVELS,L_NSPECTI,NAERKIND) |
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| 53 | real*8 GIAER(L_LEVELS,L_NSPECTI,NAERKIND) |
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| 54 | real*8 TAUAERO(L_LEVELS,NAERKIND) |
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| 55 | real*8 TAUAEROLK(L_LEVELS,L_NSPECTI,NAERKIND) |
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| 56 | real*8 TAEROS(L_LEVELS,L_NSPECTI,NAERKIND) |
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| 57 | |
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| 58 | integer L, NW, NG, K, LK, IAER |
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| 59 | integer MT(L_LEVELS), MP(L_LEVELS), NP(L_LEVELS) |
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| 60 | real*8 ANS, TAUGAS |
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| 61 | real*8 DPR(L_LEVELS), U(L_LEVELS) |
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| 62 | real*8 LCOEF(4), LKCOEF(L_LEVELS,4) |
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| 63 | |
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| 64 | real*8 taugsurf(L_NSPECTI,L_NGAUSS-1) |
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| 65 | real*8 DCONT,DAERO |
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| 66 | double precision wn_cont, p_cont, p_air, T_cont, dtemp, dtempc |
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| 67 | double precision p_cross |
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| 68 | |
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| 69 | ! variable species mixing ratio variables |
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| 70 | real*8 QVAR(L_LEVELS), WRATIO(L_LEVELS), MUVAR(L_LEVELS) |
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| 71 | real*8 KCOEF(4) |
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| 72 | integer NVAR(L_LEVELS) |
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| 73 | |
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| 74 | ! temporary variables to reduce memory access time to gasi |
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| 75 | real*8 tmpk(2,2) |
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| 76 | real*8 tmpkvar(2,2,2) |
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| 77 | |
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| 78 | ! temporary variables for multiple aerosol calculation |
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| 79 | real*8 atemp |
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| 80 | real*8 btemp(L_NLAYRAD,L_NSPECTI) |
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| 81 | |
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| 82 | ! variables for k in units m^-1 |
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| 83 | real*8 dz(L_LEVELS) |
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| 84 | !real*8 rho !! see test below |
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| 85 | |
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| 86 | integer igas, jgas |
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| 87 | |
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| 88 | integer interm |
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| 89 | |
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| 90 | !--- Kasting's CIA ---------------------------------------- |
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| 91 | !real*8, parameter :: Ci(L_NSPECTI)=[ & |
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| 92 | ! 3.8E-5, 1.2E-5, 2.8E-6, 7.6E-7, 4.5E-7, 2.3E-7, & |
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| 93 | ! 5.4E-7, 1.6E-6, 0.0, & |
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| 94 | ! 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, & |
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| 95 | ! 0.0, 4.0E-7, 4.0E-6, 1.4E-5, & |
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| 96 | ! 1.0E-5, 1.2E-6, 2.0E-7, 5.0E-8, 3.0E-8, 0.0 ] |
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| 97 | !real*8, parameter :: Ti(L_NSPECTI)=[ -2.2, -1.9, & |
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| 98 | ! -1.7, -1.7, -1.7, -1.7, -1.7, -1.7, & |
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| 99 | ! 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, & |
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| 100 | ! -1.7,-1.7,-1.7,-1.7,-1.7,-1.7,-1.7, -1.7,0.0 ] |
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| 101 | !---------------------------------------------------------- |
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| 102 | |
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| 103 | !! AS: to save time in computing continuum (see bilinearbig) |
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| 104 | IF (.not.ALLOCATED(indi)) THEN |
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| 105 | ALLOCATE(indi(L_NSPECTI,ngasmx,ngasmx)) |
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| 106 | indi = -9999 ! this initial value means "to be calculated" |
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| 107 | ENDIF |
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| 108 | |
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| 109 | !======================================================================= |
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| 110 | ! Determine the total gas opacity throughout the column, for each |
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| 111 | ! spectral interval, NW, and each Gauss point, NG. |
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| 112 | |
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| 113 | taugsurf(:,:) = 0.0 |
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| 114 | dpr(:) = 0.0 |
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| 115 | lkcoef(:,:) = 0.0 |
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| 116 | |
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| 117 | do K=2,L_LEVELS |
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| 118 | DPR(k) = PLEV(K)-PLEV(K-1) |
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| 119 | |
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| 120 | !--- Kasting's CIA ---------------------------------------- |
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| 121 | !dz(k)=dpr(k)*189.02*TMID(K)/(0.03720*PMID(K)) |
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| 122 | ! this is CO2 path length (in cm) as written by Francois |
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| 123 | ! delta_z = delta_p * R_specific * T / (g * P) |
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| 124 | ! But Kasting states that W is in units of _atmosphere_ cm |
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| 125 | ! So we do |
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| 126 | !dz(k)=dz(k)*(PMID(K)/1013.25) |
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| 127 | !dz(k)=dz(k)/100.0 ! in m for SI calc |
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| 128 | !---------------------------------------------------------- |
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| 129 | |
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| 130 | ! if we have continuum opacities, we need dz |
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| 131 | if(kastprof)then |
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| 132 | dz(k) = dpr(k)*(1000.0d0*8.3145d0/muvar(k))*TMID(K)/(g*PMID(K)) |
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| 133 | U(k) = Cmk*DPR(k)*mugaz/muvar(k) |
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| 134 | else |
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| 135 | dz(k) = dpr(k)*R*TMID(K)/(glat_ig*PMID(K))*mugaz/muvar(k) |
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| 136 | U(k) = Cmk*DPR(k)*mugaz/muvar(k) ! only Cmk line in optci.F |
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| 137 | !JL13 the mugaz/muvar factor takes into account water meanmolecular weight if water is present |
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| 138 | endif |
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| 139 | |
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| 140 | call tpindex(PMID(K),TMID(K),QVAR(K),pfgasref,tgasref,WREFVAR, & |
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| 141 | LCOEF,MT(K),MP(K),NVAR(K),WRATIO(K)) |
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| 142 | |
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| 143 | do LK=1,4 |
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| 144 | LKCOEF(K,LK) = LCOEF(LK) |
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| 145 | end do |
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| 146 | end do ! levels |
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| 147 | |
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| 148 | ! Spectral dependance of aerosol absorption |
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| 149 | do iaer=1,naerkind |
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| 150 | DO NW=1,L_NSPECTI |
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| 151 | do K=2,L_LEVELS |
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| 152 | TAEROS(K,NW,IAER) = TAUAERO(K,IAER) * QXIAER(K,NW,IAER) |
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| 153 | end do ! levels |
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| 154 | END DO |
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| 155 | end do |
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| 156 | |
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| 157 | do NW=1,L_NSPECTI |
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| 158 | |
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| 159 | do K=2,L_LEVELS |
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| 160 | |
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| 161 | DAERO=SUM(TAEROS(K,NW,1:naerkind)) ! aerosol absorption |
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| 162 | |
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| 163 | DCONT = 0.0d0 ! continuum absorption |
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| 164 | |
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| 165 | if(continuum.and.(.not.graybody))then |
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| 166 | ! include continua if necessary |
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| 167 | wn_cont = dble(wnoi(nw)) |
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| 168 | T_cont = dble(TMID(k)) |
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| 169 | do igas=1,ngasmx |
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| 170 | |
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| 171 | if(gfrac(igas).eq.-1)then ! variable |
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| 172 | p_cont = dble(PMID(k)*scalep*QVAR(k)) ! qvar = mol/mol |
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| 173 | else |
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| 174 | p_cont = dble(PMID(k)*scalep*gfrac(igas)*(1.-QVAR(k))) |
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| 175 | endif |
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| 176 | |
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| 177 | dtemp=0.0d0 |
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| 178 | if(igas.eq.igas_N2)then |
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| 179 | |
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| 180 | interm = indi(nw,igas,igas) |
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| 181 | call interpolateN2N2(wn_cont,T_cont,p_cont,dtemp,.false.,interm) |
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| 182 | indi(nw,igas,igas) = interm |
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| 183 | |
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| 184 | elseif(igas.eq.igas_H2)then |
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| 185 | |
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| 186 | ! first do self-induced absorption |
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| 187 | interm = indi(nw,igas,igas) |
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| 188 | call interpolateH2H2(wn_cont,T_cont,p_cont,dtemp,.false.,interm) |
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| 189 | indi(nw,igas,igas) = interm |
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| 190 | |
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| 191 | ! then cross-interactions with other gases |
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| 192 | do jgas=1,ngasmx |
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| 193 | p_cross = dble(PMID(k)*scalep*gfrac(jgas)*(1.-QVAR(k))) |
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| 194 | dtempc = 0.0d0 |
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| 195 | if(jgas.eq.igas_N2)then |
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| 196 | interm = indi(nw,igas,jgas) |
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| 197 | call interpolateN2H2(wn_cont,T_cont,p_cross,p_cont,dtempc,.false.,interm) |
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| 198 | indi(nw,igas,jgas) = interm |
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| 199 | elseif(jgas.eq.igas_He)then |
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| 200 | interm = indi(nw,igas,jgas) |
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| 201 | call interpolateH2He(wn_cont,T_cont,p_cross,p_cont,dtempc,.false.,interm) |
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| 202 | indi(nw,igas,jgas) = interm |
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| 203 | endif |
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| 204 | dtemp = dtemp + dtempc |
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| 205 | enddo |
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| 206 | |
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| 207 | elseif(igas.eq.igas_H2O.and.T_cont.gt.100.0)then |
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| 208 | ! Compute self and foreign (with air) continuum of H2O |
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| 209 | p_air = dble(PMID(k)*scalep) - p_cont ! note assumes background is air! |
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| 210 | interm = indi(nw,igas,igas) |
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| 211 | call interpolateH2O_self_foreign(wn_cont,T_cont,p_cont,p_air,dtemp,.false.,interm) ! MTCKD v3.3 |
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| 212 | indi(nw,igas,igas) = interm |
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| 213 | |
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| 214 | endif |
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| 215 | |
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| 216 | DCONT = DCONT + dtemp |
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| 217 | |
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| 218 | enddo |
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| 219 | |
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| 220 | ! Oobleck test |
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| 221 | !rho = PMID(k)*scalep / (TMID(k)*286.99) |
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| 222 | !if(WNOI(nw).gt.300.0 .and. WNOI(nw).lt.500.0)then |
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| 223 | ! DCONT = rho * 0.125 * 4.6e-4 |
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| 224 | !elseif(WNOI(nw).gt.500.0 .and. WNOI(nw).lt.700.0)then |
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| 225 | ! DCONT = 1000*dpr(k) * 1.0 * 4.6e-4 / g |
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| 226 | ! DCONT = rho * 1.0 * 4.6e-4 |
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| 227 | !elseif(WNOI(nw).gt.700.0 .and. WNOI(nw).lt.900.0)then |
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| 228 | ! DCONT = rho * 0.125 * 4.6e-4 |
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| 229 | !endif |
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| 230 | |
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| 231 | DCONT = DCONT*dz(k) |
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| 232 | |
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| 233 | endif |
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| 234 | |
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| 235 | do ng=1,L_NGAUSS-1 |
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| 236 | |
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| 237 | ! Now compute TAUGAS |
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| 238 | |
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| 239 | ! Interpolate between water mixing ratios |
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| 240 | ! WRATIO = 0.0 if the requested water amount is equal to, or outside the |
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| 241 | ! the water data range |
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| 242 | |
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| 243 | if(L_REFVAR.eq.1)then ! added by RW for special no variable case |
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| 244 | |
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| 245 | ! JVO 2017 : added tmpk because the repeated calls to gasi/v increased dramatically |
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| 246 | ! the execution time of optci/v -> ~ factor 2 on the whole radiative |
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| 247 | ! transfer on the tested simulations ! |
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| 248 | |
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| 249 | tmpk = GASI(MT(K):MT(K)+1,MP(K):MP(K)+1,1,NW,NG) |
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| 250 | |
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| 251 | KCOEF(1) = tmpk(1,1) ! KCOEF(1) = GASI(MT(K),MP(K),1,NW,NG) |
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| 252 | KCOEF(2) = tmpk(1,2) ! KCOEF(2) = GASI(MT(K),MP(K)+1,1,NW,NG) |
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| 253 | KCOEF(3) = tmpk(2,2) ! KCOEF(3) = GASI(MT(K)+1,MP(K)+1,1,NW,NG) |
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| 254 | KCOEF(4) = tmpk(2,1) ! KCOEF(4) = GASI(MT(K)+1,MP(K),1,NW,NG) |
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| 255 | |
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| 256 | else |
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| 257 | |
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| 258 | tmpkvar = GASI(MT(K):MT(K)+1,MP(K):MP(K)+1,NVAR(K):NVAR(K)+1,NW,NG) |
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| 259 | |
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| 260 | KCOEF(1) = tmpkvar(1,1,1) + WRATIO(K) * & |
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| 261 | ( tmpkvar(1,1,2)-tmpkvar(1,1,1) ) |
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| 262 | |
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| 263 | KCOEF(2) = tmpkvar(1,2,1) + WRATIO(K) * & |
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| 264 | ( tmpkvar(1,2,2)-tmpkvar(1,2,1) ) |
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| 265 | |
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| 266 | KCOEF(3) = tmpkvar(2,2,1) + WRATIO(K) * & |
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| 267 | ( tmpkvar(2,2,2)-tmpkvar(2,2,1) ) |
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| 268 | |
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| 269 | KCOEF(4) = tmpkvar(2,1,1) + WRATIO(K) * & |
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| 270 | ( tmpkvar(2,1,2)-tmpkvar(2,1,1) ) |
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| 271 | |
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| 272 | endif |
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| 273 | |
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| 274 | ! Interpolate the gaseous k-coefficients to the requested T,P values |
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| 275 | |
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| 276 | ANS = LKCOEF(K,1)*KCOEF(1) + LKCOEF(K,2)*KCOEF(2) + & |
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| 277 | LKCOEF(K,3)*KCOEF(3) + LKCOEF(K,4)*KCOEF(4) |
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| 278 | |
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| 279 | TAUGAS = U(k)*ANS |
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| 280 | |
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| 281 | TAUGSURF(NW,NG) = TAUGSURF(NW,NG) + TAUGAS + DCONT |
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| 282 | DTAUKI(K,nw,ng) = TAUGAS & |
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| 283 | + DCONT & ! For parameterized continuum absorption |
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| 284 | + DAERO ! For aerosol absorption |
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| 285 | |
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| 286 | end do |
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| 287 | |
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| 288 | ! Now fill in the "clear" part of the spectrum (NG = L_NGAUSS), |
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| 289 | ! which holds continuum opacity only |
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| 290 | |
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| 291 | NG = L_NGAUSS |
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| 292 | DTAUKI(K,nw,ng) = 0.d0 & |
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| 293 | + DCONT & ! For parameterized continuum absorption |
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| 294 | + DAERO ! For aerosol absorption |
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| 295 | |
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| 296 | end do |
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| 297 | end do |
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| 298 | |
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| 299 | !======================================================================= |
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| 300 | ! Now the full treatment for the layers, where besides the opacity |
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| 301 | ! we need to calculate the scattering albedo and asymmetry factors |
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| 302 | |
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| 303 | do iaer=1,naerkind |
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| 304 | DO NW=1,L_NSPECTI |
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| 305 | DO K=2,L_LEVELS |
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| 306 | TAUAEROLK(K,NW,IAER) = TAUAERO(K,IAER)*QSIAER(K,NW,IAER) ! effect of scattering albedo |
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| 307 | ENDDO |
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| 308 | ENDDO |
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| 309 | end do |
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| 310 | |
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| 311 | DO NW=1,L_NSPECTI |
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| 312 | DO L=1,L_NLAYRAD-1 |
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| 313 | K = 2*L+1 |
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| 314 | btemp(L,NW) = SUM(TAUAEROLK(K,NW,1:naerkind)) + SUM(TAUAEROLK(K+1,NW,1:naerkind)) |
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| 315 | END DO ! L vertical loop |
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| 316 | |
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| 317 | ! Last level |
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| 318 | L = L_NLAYRAD |
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| 319 | K = 2*L+1 |
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| 320 | btemp(L,NW) = SUM(TAUAEROLK(K,NW,1:naerkind)) |
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| 321 | |
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| 322 | END DO ! NW spectral loop |
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| 323 | |
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| 324 | |
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| 325 | DO NW=1,L_NSPECTI |
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| 326 | NG = L_NGAUSS |
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| 327 | DO L=1,L_NLAYRAD-1 |
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| 328 | |
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| 329 | K = 2*L+1 |
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| 330 | DTAUI(L,nw,ng) = DTAUKI(K,NW,NG) + DTAUKI(K+1,NW,NG)! + 1.e-50 |
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| 331 | |
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| 332 | atemp = 0. |
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| 333 | if(DTAUI(L,NW,NG) .GT. 1.0D-9) then |
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| 334 | do iaer=1,naerkind |
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| 335 | atemp = atemp + & |
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| 336 | GIAER(K,NW,IAER) * TAUAEROLK(K,NW,IAER) + & |
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| 337 | GIAER(K+1,NW,IAER) * TAUAEROLK(K+1,NW,IAER) |
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| 338 | end do |
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| 339 | WBARI(L,nw,ng) = btemp(L,nw) / DTAUI(L,NW,NG) |
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| 340 | else |
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| 341 | WBARI(L,nw,ng) = 0.0D0 |
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| 342 | DTAUI(L,NW,NG) = 1.0D-9 |
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| 343 | endif |
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| 344 | |
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| 345 | if(btemp(L,nw) .GT. 0.0d0) then |
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| 346 | cosbi(L,NW,NG) = atemp/btemp(L,nw) |
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| 347 | else |
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| 348 | cosbi(L,NW,NG) = 0.0D0 |
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| 349 | end if |
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| 350 | |
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| 351 | END DO ! L vertical loop |
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| 352 | |
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| 353 | ! Last level |
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| 354 | |
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| 355 | L = L_NLAYRAD |
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| 356 | K = 2*L+1 |
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| 357 | DTAUI(L,nw,ng) = DTAUKI(K,NW,NG) ! + 1.e-50 |
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| 358 | |
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| 359 | atemp = 0. |
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| 360 | if(DTAUI(L,NW,NG) .GT. 1.0D-9) then |
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| 361 | do iaer=1,naerkind |
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| 362 | atemp = atemp + GIAER(K,NW,IAER) * TAUAEROLK(K,NW,IAER) |
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| 363 | end do |
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| 364 | WBARI(L,nw,ng) = btemp(L,nw) / DTAUI(L,NW,NG) |
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| 365 | else |
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| 366 | WBARI(L,nw,ng) = 0.0D0 |
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| 367 | DTAUI(L,NW,NG) = 1.0D-9 |
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| 368 | endif |
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| 369 | |
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| 370 | if(btemp(L,nw) .GT. 0.0d0) then |
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| 371 | cosbi(L,NW,NG) = atemp/btemp(L,nw) |
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| 372 | else |
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| 373 | cosbi(L,NW,NG) = 0.0D0 |
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| 374 | end if |
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| 375 | |
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| 376 | |
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| 377 | ! Now the other Gauss points, if needed. |
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| 378 | |
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| 379 | DO NG=1,L_NGAUSS-1 |
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| 380 | IF(TAUGSURF(NW,NG) .gt. TLIMIT) THEN |
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| 381 | |
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| 382 | DO L=1,L_NLAYRAD-1 |
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| 383 | K = 2*L+1 |
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| 384 | DTAUI(L,nw,ng) = DTAUKI(K,NW,NG)+DTAUKI(K+1,NW,NG)! + 1.e-50 |
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| 385 | |
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| 386 | if(DTAUI(L,NW,NG) .GT. 1.0D-9) then |
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| 387 | |
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| 388 | WBARI(L,nw,ng) = btemp(L,nw) / DTAUI(L,NW,NG) |
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| 389 | |
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| 390 | else |
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| 391 | WBARI(L,nw,ng) = 0.0D0 |
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| 392 | DTAUI(L,NW,NG) = 1.0D-9 |
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| 393 | endif |
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| 394 | |
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| 395 | cosbi(L,NW,NG) = cosbi(L,NW,L_NGAUSS) |
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| 396 | END DO ! L vertical loop |
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| 397 | |
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| 398 | ! Last level |
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| 399 | L = L_NLAYRAD |
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| 400 | K = 2*L+1 |
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| 401 | DTAUI(L,nw,ng) = DTAUKI(K,NW,NG)! + 1.e-50 |
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| 402 | |
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| 403 | if(DTAUI(L,NW,NG) .GT. 1.0D-9) then |
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| 404 | |
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| 405 | WBARI(L,nw,ng) = btemp(L,nw) / DTAUI(L,NW,NG) |
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| 406 | |
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| 407 | else |
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| 408 | WBARI(L,nw,ng) = 0.0D0 |
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| 409 | DTAUI(L,NW,NG) = 1.0D-9 |
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| 410 | endif |
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| 411 | |
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| 412 | cosbi(L,NW,NG) = cosbi(L,NW,L_NGAUSS) |
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| 413 | |
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| 414 | END IF |
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| 415 | |
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| 416 | END DO ! NG Gauss loop |
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| 417 | END DO ! NW spectral loop |
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| 418 | |
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| 419 | ! Total extinction optical depths |
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| 420 | |
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| 421 | DO NG=1,L_NGAUSS ! full gauss loop |
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| 422 | DO NW=1,L_NSPECTI |
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| 423 | TAUCUMI(1,NW,NG)=0.0D0 |
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| 424 | DO K=2,L_LEVELS |
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| 425 | TAUCUMI(K,NW,NG)=TAUCUMI(K-1,NW,NG)+DTAUKI(K,NW,NG) |
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| 426 | END DO |
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| 427 | END DO ! end full gauss loop |
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| 428 | END DO |
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| 429 | |
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| 430 | ! be aware when comparing with textbook results |
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| 431 | ! (e.g. Pierrehumbert p. 218) that |
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| 432 | ! taucumi does not take the <cos theta>=0.5 factor into |
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| 433 | ! account. It is the optical depth for a vertically |
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| 434 | ! ascending ray with angle theta = 0. |
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| 435 | |
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| 436 | !open(127,file='taucum.out') |
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| 437 | !do nw=1,L_NSPECTI |
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| 438 | ! write(127,*) taucumi(L_LEVELS,nw,L_NGAUSS) |
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| 439 | !enddo |
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| 440 | !close(127) |
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| 441 | |
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| 442 | ! print*,'WBARI' |
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| 443 | ! print*,WBARI |
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| 444 | ! print*,'DTAUI' |
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| 445 | ! print*,DTAUI |
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| 446 | ! call abort |
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| 447 | |
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| 448 | end subroutine optci |
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| 449 | |
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| 450 | END MODULE optci_mod |
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| 451 | |
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