/phys/module_mp_thompson.F

!+---+-----------------------------------------------------------------+
!.. This subroutine computes the moisture tendencies of water vapor,
!.. cloud droplets, rain, cloud ice (pristine), snow, and graupel.
!.. Prior to WRFv2.2 this code was based on Reisner et al (1998), but
!.. few of those pieces remain.  A complete description is now found in
!.. Thompson, G., P. R. Field, R. M. Rasmussen, and W. D. Hall, 2008:
!.. Explicit Forecasts of winter precipitation using an improved bulk
!.. microphysics scheme. Part II: Implementation of a new snow
!.. parameterization.  Mon. Wea. Rev., 136, 5095-5115.
!.. Prior to WRFv3.1, this code was single-moment rain prediction as
!.. described in the reference above, but in v3.1 and higher, the
!.. scheme is two-moment rain (predicted rain number concentration).
!..
!.. Most importantly, users may wish to modify the prescribed number of
!.. cloud droplets (Nt_c; see guidelines mentioned below).  Otherwise,
!.. users may alter the rain and graupel size distribution parameters
!.. to use exponential (Marshal-Palmer) or generalized gamma shape.
!.. The snow field assumes a combination of two gamma functions (from
!.. Field et al. 2005) and would require significant modifications
!.. throughout the entire code to alter its shape as well as accretion
!.. rates.  Users may also alter the constants used for density of rain,
!.. graupel, ice, and snow, but the latter is not constant when using
!.. Paul Field's snow distribution and moments methods.  Other values
!.. users can modify include the constants for mass and/or velocity
!.. power law relations and assumed capacitances used in deposition/
!.. sublimation/evaporation/melting.
!.. Remaining values should probably be left alone.
!..
!..Author: Greg Thompson, NCAR-RAL, gthompsn@ucar.edu, 303-497-2805
!..Last modified: 21 Nov 2010
!+---+-----------------------------------------------------------------+
!wrft:model_layer:physics
!+---+-----------------------------------------------------------------+
!
      MODULE module_mp_thompson

      USE module_wrf_error
!     USE module_utility, ONLY: WRFU_Clock, WRFU_Alarm
!     USE module_domain, ONLY : HISTORY_ALARM, Is_alarm_tstep

      IMPLICIT NONE

      LOGICAL, PARAMETER, PRIVATE:: iiwarm = .false.
      INTEGER, PARAMETER, PRIVATE:: IFDRY = 0
      REAL, PARAMETER, PRIVATE:: T_0 = 273.15
      REAL, PARAMETER, PRIVATE:: PI = 3.1415926536

!..Densities of rain, snow, graupel, and cloud ice.
      REAL, PARAMETER, PRIVATE:: rho_w = 1000.0
      REAL, PARAMETER, PRIVATE:: rho_s = 100.0
      REAL, PARAMETER, PRIVATE:: rho_g = 400.0
      REAL, PARAMETER, PRIVATE:: rho_i = 890.0

!..Prescribed number of cloud droplets.  Set according to known data or
!.. roughly 100 per cc (100.E6 m^-3) for Maritime cases and
!.. 300 per cc (300.E6 m^-3) for Continental.  Gamma shape parameter,
!.. mu_c, calculated based on Nt_c is important in autoconversion
!.. scheme.
      REAL, PARAMETER, PRIVATE:: Nt_c = 100.E6

!..Generalized gamma distributions for rain, graupel and cloud ice.
!.. N(D) = N_0 * D**mu * exp(-lamda*D);  mu=0 is exponential.
      REAL, PARAMETER, PRIVATE:: mu_r = 0.0
      REAL, PARAMETER, PRIVATE:: mu_g = 0.0
      REAL, PARAMETER, PRIVATE:: mu_i = 0.0
      REAL, PRIVATE:: mu_c

!..Sum of two gamma distrib for snow (Field et al. 2005).
!.. N(D) = M2**4/M3**3 * [Kap0*exp(-M2*Lam0*D/M3)
!..    + Kap1*(M2/M3)**mu_s * D**mu_s * exp(-M2*Lam1*D/M3)]
!.. M2 and M3 are the (bm_s)th and (bm_s+1)th moments respectively
!.. calculated as function of ice water content and temperature.
      REAL, PARAMETER, PRIVATE:: mu_s = 0.6357
      REAL, PARAMETER, PRIVATE:: Kap0 = 490.6
      REAL, PARAMETER, PRIVATE:: Kap1 = 17.46
      REAL, PARAMETER, PRIVATE:: Lam0 = 20.78
      REAL, PARAMETER, PRIVATE:: Lam1 = 3.29

!..Y-intercept parameter for graupel is not constant and depends on
!.. mixing ratio.  Also, when mu_g is non-zero, these become equiv
!.. y-intercept for an exponential distrib and proper values are
!.. computed based on same mixing ratio and total number concentration.
      REAL, PARAMETER, PRIVATE:: gonv_min = 1.E4
      REAL, PARAMETER, PRIVATE:: gonv_max = 1.E6

!..Mass power law relations:  mass = am*D**bm
!.. Snow from Field et al. (2005), others assume spherical form.
      REAL, PARAMETER, PRIVATE:: am_r = PI*rho_w/6.0
      REAL, PARAMETER, PRIVATE:: bm_r = 3.0
      REAL, PARAMETER, PRIVATE:: am_s = 0.069
      REAL, PARAMETER, PRIVATE:: bm_s = 2.0
      REAL, PARAMETER, PRIVATE:: am_g = PI*rho_g/6.0
      REAL, PARAMETER, PRIVATE:: bm_g = 3.0
      REAL, PARAMETER, PRIVATE:: am_i = PI*rho_i/6.0
      REAL, PARAMETER, PRIVATE:: bm_i = 3.0

!..Fallspeed power laws relations:  v = (av*D**bv)*exp(-fv*D)
!.. Rain from Ferrier (1994), ice, snow, and graupel from
!.. Thompson et al (2008). Coefficient fv is zero for graupel/ice.
      REAL, PARAMETER, PRIVATE:: av_r = 4854.0
      REAL, PARAMETER, PRIVATE:: bv_r = 1.0
      REAL, PARAMETER, PRIVATE:: fv_r = 195.0
      REAL, PARAMETER, PRIVATE:: av_s = 40.0
      REAL, PARAMETER, PRIVATE:: bv_s = 0.55
      REAL, PARAMETER, PRIVATE:: fv_s = 125.0
      REAL, PARAMETER, PRIVATE:: av_g = 442.0
      REAL, PARAMETER, PRIVATE:: bv_g = 0.89
      REAL, PARAMETER, PRIVATE:: av_i = 1847.5
      REAL, PARAMETER, PRIVATE:: bv_i = 1.0

!..Capacitance of sphere and plates/aggregates: D**3, D**2
      REAL, PARAMETER, PRIVATE:: C_cube = 0.5
      REAL, PARAMETER, PRIVATE:: C_sqrd = 0.3

!..Collection efficiencies.  Rain/snow/graupel collection of cloud
!.. droplets use variables (Ef_rw, Ef_sw, Ef_gw respectively) and
!.. get computed elsewhere because they are dependent on stokes
!.. number.
      REAL, PARAMETER, PRIVATE:: Ef_si = 0.05
      REAL, PARAMETER, PRIVATE:: Ef_rs = 0.95
      REAL, PARAMETER, PRIVATE:: Ef_rg = 0.75
      REAL, PARAMETER, PRIVATE:: Ef_ri = 0.95

!..Minimum microphys values
!.. R1 value, 1.E-12, cannot be set lower because of numerical
!.. problems with Paul Field's moments and should not be set larger
!.. because of truncation problems in snow/ice growth.
      REAL, PARAMETER, PRIVATE:: R1 = 1.E-12
      REAL, PARAMETER, PRIVATE:: R2 = 1.E-8
      REAL, PARAMETER, PRIVATE:: eps = 1.E-29

!..Constants in Cooper curve relation for cloud ice number.
      REAL, PARAMETER, PRIVATE:: TNO = 5.0
      REAL, PARAMETER, PRIVATE:: ATO = 0.304

!..Rho_not used in fallspeed relations (rho_not/rho)**.5 adjustment.
      REAL, PARAMETER, PRIVATE:: rho_not = 101325.0/(287.05*298.0)

!..Schmidt number
      REAL, PARAMETER, PRIVATE:: Sc = 0.632
      REAL, PRIVATE:: Sc3

!..Homogeneous freezing temperature
      REAL, PARAMETER, PRIVATE:: HGFR = 235.16

!..Water vapor and air gas constants at constant pressure
      REAL, PARAMETER, PRIVATE:: Rv = 461.5
      REAL, PARAMETER, PRIVATE:: oRv = 1./Rv
      REAL, PARAMETER, PRIVATE:: R = 287.04
      REAL, PARAMETER, PRIVATE:: Cp = 1004.0

!..Enthalpy of sublimation, vaporization, and fusion at 0C.
      REAL, PARAMETER, PRIVATE:: lsub = 2.834E6
      REAL, PARAMETER, PRIVATE:: lvap0 = 2.5E6
      REAL, PARAMETER, PRIVATE:: lfus = lsub - lvap0
      REAL, PARAMETER, PRIVATE:: olfus = 1./lfus

!..Ice initiates with this mass (kg), corresponding diameter calc.
!..Min diameters and mass of cloud, rain, snow, and graupel (m, kg).
      REAL, PARAMETER, PRIVATE:: xm0i = 1.E-12
      REAL, PARAMETER, PRIVATE:: D0c = 1.E-6
      REAL, PARAMETER, PRIVATE:: D0r = 50.E-6
      REAL, PARAMETER, PRIVATE:: D0s = 200.E-6
      REAL, PARAMETER, PRIVATE:: D0g = 250.E-6
      REAL, PRIVATE:: D0i, xm0s, xm0g

!..Lookup table dimensions
      INTEGER, PARAMETER, PRIVATE:: nbins = 100
      INTEGER, PARAMETER, PRIVATE:: nbc = nbins
      INTEGER, PARAMETER, PRIVATE:: nbi = nbins
      INTEGER, PARAMETER, PRIVATE:: nbr = nbins
      INTEGER, PARAMETER, PRIVATE:: nbs = nbins
      INTEGER, PARAMETER, PRIVATE:: nbg = nbins
      INTEGER, PARAMETER, PRIVATE:: ntb_c = 37
      INTEGER, PARAMETER, PRIVATE:: ntb_i = 64
      INTEGER, PARAMETER, PRIVATE:: ntb_r = 37
      INTEGER, PARAMETER, PRIVATE:: ntb_s = 28
      INTEGER, PARAMETER, PRIVATE:: ntb_g = 28
      INTEGER, PARAMETER, PRIVATE:: ntb_g1 = 28
      INTEGER, PARAMETER, PRIVATE:: ntb_r1 = 37
      INTEGER, PARAMETER, PRIVATE:: ntb_i1 = 55
      INTEGER, PARAMETER, PRIVATE:: ntb_t = 9
      INTEGER, PRIVATE:: nic2, nii2, nii3, nir2, nir3, nis2, nig2, nig3

      DOUBLE PRECISION, DIMENSION(nbins+1):: xDx
      DOUBLE PRECISION, DIMENSION(nbc):: Dc, dtc
      DOUBLE PRECISION, DIMENSION(nbi):: Di, dti
      DOUBLE PRECISION, DIMENSION(nbr):: Dr, dtr
      DOUBLE PRECISION, DIMENSION(nbs):: Ds, dts
      DOUBLE PRECISION, DIMENSION(nbg):: Dg, dtg

!..Lookup tables for cloud water content (kg/m**3).
      REAL, DIMENSION(ntb_c), PARAMETER, PRIVATE:: &
      r_c = (/1.e-6,2.e-6,3.e-6,4.e-6,5.e-6,6.e-6,7.e-6,8.e-6,9.e-6, &
              1.e-5,2.e-5,3.e-5,4.e-5,5.e-5,6.e-5,7.e-5,8.e-5,9.e-5, &
              1.e-4,2.e-4,3.e-4,4.e-4,5.e-4,6.e-4,7.e-4,8.e-4,9.e-4, &
              1.e-3,2.e-3,3.e-3,4.e-3,5.e-3,6.e-3,7.e-3,8.e-3,9.e-3, &
              1.e-2/)

!..Lookup tables for cloud ice content (kg/m**3).
      REAL, DIMENSION(ntb_i), PARAMETER, PRIVATE:: &
      r_i = (/1.e-10,2.e-10,3.e-10,4.e-10, &
              5.e-10,6.e-10,7.e-10,8.e-10,9.e-10, &
              1.e-9,2.e-9,3.e-9,4.e-9,5.e-9,6.e-9,7.e-9,8.e-9,9.e-9, &
              1.e-8,2.e-8,3.e-8,4.e-8,5.e-8,6.e-8,7.e-8,8.e-8,9.e-8, &
              1.e-7,2.e-7,3.e-7,4.e-7,5.e-7,6.e-7,7.e-7,8.e-7,9.e-7, &
              1.e-6,2.e-6,3.e-6,4.e-6,5.e-6,6.e-6,7.e-6,8.e-6,9.e-6, &
              1.e-5,2.e-5,3.e-5,4.e-5,5.e-5,6.e-5,7.e-5,8.e-5,9.e-5, &
              1.e-4,2.e-4,3.e-4,4.e-4,5.e-4,6.e-4,7.e-4,8.e-4,9.e-4, &
              1.e-3/)

!..Lookup tables for rain content (kg/m**3).
      REAL, DIMENSION(ntb_r), PARAMETER, PRIVATE:: &
      r_r = (/1.e-6,2.e-6,3.e-6,4.e-6,5.e-6,6.e-6,7.e-6,8.e-6,9.e-6, &
              1.e-5,2.e-5,3.e-5,4.e-5,5.e-5,6.e-5,7.e-5,8.e-5,9.e-5, &
              1.e-4,2.e-4,3.e-4,4.e-4,5.e-4,6.e-4,7.e-4,8.e-4,9.e-4, &
              1.e-3,2.e-3,3.e-3,4.e-3,5.e-3,6.e-3,7.e-3,8.e-3,9.e-3, &
              1.e-2/)

!..Lookup tables for graupel content (kg/m**3).
      REAL, DIMENSION(ntb_g), PARAMETER, PRIVATE:: &
      r_g = (/1.e-5,2.e-5,3.e-5,4.e-5,5.e-5,6.e-5,7.e-5,8.e-5,9.e-5, &
              1.e-4,2.e-4,3.e-4,4.e-4,5.e-4,6.e-4,7.e-4,8.e-4,9.e-4, &
              1.e-3,2.e-3,3.e-3,4.e-3,5.e-3,6.e-3,7.e-3,8.e-3,9.e-3, &
              1.e-2/)

!..Lookup tables for snow content (kg/m**3).
      REAL, DIMENSION(ntb_s), PARAMETER, PRIVATE:: &
      r_s = (/1.e-5,2.e-5,3.e-5,4.e-5,5.e-5,6.e-5,7.e-5,8.e-5,9.e-5, &
              1.e-4,2.e-4,3.e-4,4.e-4,5.e-4,6.e-4,7.e-4,8.e-4,9.e-4, &
              1.e-3,2.e-3,3.e-3,4.e-3,5.e-3,6.e-3,7.e-3,8.e-3,9.e-3, &
              1.e-2/)

!..Lookup tables for rain y-intercept parameter (/m**4).
      REAL, DIMENSION(ntb_r1), PARAMETER, PRIVATE:: &
      N0r_exp = (/1.e6,2.e6,3.e6,4.e6,5.e6,6.e6,7.e6,8.e6,9.e6, &
                  1.e7,2.e7,3.e7,4.e7,5.e7,6.e7,7.e7,8.e7,9.e7, &
                  1.e8,2.e8,3.e8,4.e8,5.e8,6.e8,7.e8,8.e8,9.e8, &
                  1.e9,2.e9,3.e9,4.e9,5.e9,6.e9,7.e9,8.e9,9.e9, &
                  1.e10/)

!..Lookup tables for graupel y-intercept parameter (/m**4).
      REAL, DIMENSION(ntb_g1), PARAMETER, PRIVATE:: &
      N0g_exp = (/1.e4,2.e4,3.e4,4.e4,5.e4,6.e4,7.e4,8.e4,9.e4, &
                  1.e5,2.e5,3.e5,4.e5,5.e5,6.e5,7.e5,8.e5,9.e5, &
                  1.e6,2.e6,3.e6,4.e6,5.e6,6.e6,7.e6,8.e6,9.e6, &
                  1.e7/)

!..Lookup tables for ice number concentration (/m**3).
      REAL, DIMENSION(ntb_i1), PARAMETER, PRIVATE:: &
      Nt_i = (/1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0, &
               1.e1,2.e1,3.e1,4.e1,5.e1,6.e1,7.e1,8.e1,9.e1, &
               1.e2,2.e2,3.e2,4.e2,5.e2,6.e2,7.e2,8.e2,9.e2, &
               1.e3,2.e3,3.e3,4.e3,5.e3,6.e3,7.e3,8.e3,9.e3, &
               1.e4,2.e4,3.e4,4.e4,5.e4,6.e4,7.e4,8.e4,9.e4, &
               1.e5,2.e5,3.e5,4.e5,5.e5,6.e5,7.e5,8.e5,9.e5, &
               1.e6/)

!..For snow moments conversions (from Field et al. 2005)
      REAL, DIMENSION(10), PARAMETER, PRIVATE:: &
      sa = (/ 5.065339, -0.062659, -3.032362, 0.029469, -0.000285, &
              0.31255,   0.000204,  0.003199, 0.0,      -0.015952/)
      REAL, DIMENSION(10), PARAMETER, PRIVATE:: &
      sb = (/ 0.476221, -0.015896,  0.165977, 0.007468, -0.000141, &
              0.060366,  0.000079,  0.000594, 0.0,      -0.003577/)

!..Temperatures (5 C interval 0 to -40) used in lookup tables.
      REAL, DIMENSION(ntb_t), PARAMETER, PRIVATE:: &
      Tc = (/-0.01, -5., -10., -15., -20., -25., -30., -35., -40./)

!..Lookup tables for various accretion/collection terms.
!.. ntb_x refers to the number of elements for rain, snow, graupel,
!.. and temperature array indices.  Variables beginning with t-p/c/m/n
!.. represent lookup tables.  Save compile-time memory by making
!.. allocatable (2009Jun12, J. Michalakes).
      INTEGER, PARAMETER, PRIVATE:: R8SIZE = 8
      REAL (KIND=R8SIZE), ALLOCATABLE, DIMENSION(:,:,:,:)::             &
                tcg_racg, tmr_racg, tcr_gacr, tmg_gacr,                 &
                tnr_racg, tnr_gacr
      REAL (KIND=R8SIZE), ALLOCATABLE, DIMENSION(:,:,:,:)::             &
                tcs_racs1, tmr_racs1, tcs_racs2, tmr_racs2,             &
                tcr_sacr1, tms_sacr1, tcr_sacr2, tms_sacr2,             &
                tnr_racs1, tnr_racs2, tnr_sacr1, tnr_sacr2
      REAL (KIND=R8SIZE), ALLOCATABLE, DIMENSION(:,:)::                 &
                tpi_qcfz, tni_qcfz
      REAL (KIND=R8SIZE), ALLOCATABLE, DIMENSION(:,:,:)::               &
                tpi_qrfz, tpg_qrfz, tni_qrfz, tnr_qrfz
      REAL (KIND=R8SIZE), ALLOCATABLE, DIMENSION(:,:)::                 &
                tps_iaus, tni_iaus, tpi_ide
      REAL (KIND=R8SIZE), ALLOCATABLE, DIMENSION(:,:):: t_Efrw
      REAL (KIND=R8SIZE), ALLOCATABLE, DIMENSION(:,:):: t_Efsw
      REAL (KIND=R8SIZE), ALLOCATABLE, DIMENSION(:,:,:):: tnr_rev

!..Variables holding a bunch of exponents and gamma values (cloud water,
!.. cloud ice, rain, snow, then graupel).
      REAL, DIMENSION(3), PRIVATE:: cce, ccg
      REAL, PRIVATE::  ocg1, ocg2
      REAL, DIMENSION(7), PRIVATE:: cie, cig
      REAL, PRIVATE:: oig1, oig2, obmi
      REAL, DIMENSION(13), PRIVATE:: cre, crg
      REAL, PRIVATE:: ore1, org1, org2, org3, obmr
      REAL, DIMENSION(18), PRIVATE:: cse, csg
      REAL, PRIVATE:: oams, obms, ocms
      REAL, DIMENSION(12), PRIVATE:: cge, cgg
      REAL, PRIVATE:: oge1, ogg1, ogg2, ogg3, oamg, obmg, ocmg

!..Declaration of precomputed constants in various rate eqns.
      REAL:: t1_qr_qc, t1_qr_qi, t2_qr_qi, t1_qg_qc, t1_qs_qc, t1_qs_qi
      REAL:: t1_qr_ev, t2_qr_ev
      REAL:: t1_qs_sd, t2_qs_sd, t1_qg_sd, t2_qg_sd
      REAL:: t1_qs_me, t2_qs_me, t1_qg_me, t2_qg_me

      CHARACTER*256:: mp_debug

!+---+
!+---+-----------------------------------------------------------------+
!..END DECLARATIONS
!+---+-----------------------------------------------------------------+
!+---+
!ctrlL

      CONTAINS

      SUBROUTINE thompson_init

      IMPLICIT NONE

      INTEGER:: i, j, k, m, n
      LOGICAL:: micro_init

!..Allocate space for lookup tables (J. Michalakes 2009Jun08).
      micro_init = .FALSE.

      if (.NOT. ALLOCATED(tcg_racg) ) then
         ALLOCATE(tcg_racg(ntb_g1,ntb_g,ntb_r1,ntb_r))
         micro_init = .TRUE.
      endif

      if (.NOT. ALLOCATED(tmr_racg)) ALLOCATE(tmr_racg(ntb_g1,ntb_g,ntb_r1,ntb_r))
      if (.NOT. ALLOCATED(tcr_gacr)) ALLOCATE(tcr_gacr(ntb_g1,ntb_g,ntb_r1,ntb_r))
      if (.NOT. ALLOCATED(tmg_gacr)) ALLOCATE(tmg_gacr(ntb_g1,ntb_g,ntb_r1,ntb_r))
      if (.NOT. ALLOCATED(tnr_racg)) ALLOCATE(tnr_racg(ntb_g1,ntb_g,ntb_r1,ntb_r))
      if (.NOT. ALLOCATED(tnr_gacr)) ALLOCATE(tnr_gacr(ntb_g1,ntb_g,ntb_r1,ntb_r))

      if (.NOT. ALLOCATED(tcs_racs1)) ALLOCATE(tcs_racs1(ntb_s,ntb_t,ntb_r1,ntb_r))
      if (.NOT. ALLOCATED(tmr_racs1)) ALLOCATE(tmr_racs1(ntb_s,ntb_t,ntb_r1,ntb_r))
      if (.NOT. ALLOCATED(tcs_racs2)) ALLOCATE(tcs_racs2(ntb_s,ntb_t,ntb_r1,ntb_r))
      if (.NOT. ALLOCATED(tmr_racs2)) ALLOCATE(tmr_racs2(ntb_s,ntb_t,ntb_r1,ntb_r))
      if (.NOT. ALLOCATED(tcr_sacr1)) ALLOCATE(tcr_sacr1(ntb_s,ntb_t,ntb_r1,ntb_r))
      if (.NOT. ALLOCATED(tms_sacr1)) ALLOCATE(tms_sacr1(ntb_s,ntb_t,ntb_r1,ntb_r))
      if (.NOT. ALLOCATED(tcr_sacr2)) ALLOCATE(tcr_sacr2(ntb_s,ntb_t,ntb_r1,ntb_r))
      if (.NOT. ALLOCATED(tms_sacr2)) ALLOCATE(tms_sacr2(ntb_s,ntb_t,ntb_r1,ntb_r))
      if (.NOT. ALLOCATED(tnr_racs1)) ALLOCATE(tnr_racs1(ntb_s,ntb_t,ntb_r1,ntb_r))
      if (.NOT. ALLOCATED(tnr_racs2)) ALLOCATE(tnr_racs2(ntb_s,ntb_t,ntb_r1,ntb_r))
      if (.NOT. ALLOCATED(tnr_sacr1)) ALLOCATE(tnr_sacr1(ntb_s,ntb_t,ntb_r1,ntb_r))
      if (.NOT. ALLOCATED(tnr_sacr2)) ALLOCATE(tnr_sacr2(ntb_s,ntb_t,ntb_r1,ntb_r))

      if (.NOT. ALLOCATED(tpi_qcfz)) ALLOCATE(tpi_qcfz(ntb_c,45))
      if (.NOT. ALLOCATED(tni_qcfz)) ALLOCATE(tni_qcfz(ntb_c,45))

      if (.NOT. ALLOCATED(tpi_qrfz)) ALLOCATE(tpi_qrfz(ntb_r,ntb_r1,45))
      if (.NOT. ALLOCATED(tpg_qrfz)) ALLOCATE(tpg_qrfz(ntb_r,ntb_r1,45))
      if (.NOT. ALLOCATED(tni_qrfz)) ALLOCATE(tni_qrfz(ntb_r,ntb_r1,45))
      if (.NOT. ALLOCATED(tnr_qrfz)) ALLOCATE(tnr_qrfz(ntb_r,ntb_r1,45))

      if (.NOT. ALLOCATED(tps_iaus)) ALLOCATE(tps_iaus(ntb_i,ntb_i1))
      if (.NOT. ALLOCATED(tni_iaus)) ALLOCATE(tni_iaus(ntb_i,ntb_i1))
      if (.NOT. ALLOCATED(tpi_ide)) ALLOCATE(tpi_ide(ntb_i,ntb_i1))

      if (.NOT. ALLOCATED(t_Efrw)) ALLOCATE(t_Efrw(nbr,nbc))
      if (.NOT. ALLOCATED(t_Efsw)) ALLOCATE(t_Efsw(nbs,nbc))

      if (.NOT. ALLOCATED(tnr_rev)) ALLOCATE(tnr_rev(nbr, ntb_r1, ntb_r))

      if (micro_init) then

!..From Martin et al. (1994), assign gamma shape parameter mu for cloud
!.. drops according to general dispersion characteristics (disp=~0.25
!.. for Maritime and 0.45 for Continental).
!.. disp=SQRT((mu+2)/(mu+1) - 1) so mu varies from 15 for Maritime
!.. to 2 for really dirty air.
      mu_c = MIN(15., (1000.E6/Nt_c + 2.))

!..Schmidt number to one-third used numerous times.
      Sc3 = Sc**(1./3.)

!..Compute min ice diam from mass, min snow/graupel mass from diam.
      D0i = (xm0i/am_i)**(1./bm_i)
      xm0s = am_s * D0s**bm_s
      xm0g = am_g * D0g**bm_g

!..These constants various exponents and gamma() assoc with cloud,
!.. rain, snow, and graupel.
      cce(1) = mu_c + 1.
      cce(2) = bm_r + mu_c + 1.
      cce(3) = bm_r + mu_c + 4.
      ccg(1) = WGAMMA(cce(1))
      ccg(2) = WGAMMA(cce(2))
      ccg(3) = WGAMMA(cce(3))
      ocg1 = 1./ccg(1)
      ocg2 = 1./ccg(2)

      cie(1) = mu_i + 1.
      cie(2) = bm_i + mu_i + 1.
      cie(3) = bm_i + mu_i + bv_i + 1.
      cie(4) = mu_i + bv_i + 1.
      cie(5) = mu_i + 2.
      cie(6) = bm_i*0.5 + mu_i + bv_i + 1.
      cie(7) = bm_i*0.5 + mu_i + 1.
      cig(1) = WGAMMA(cie(1))
      cig(2) = WGAMMA(cie(2))
      cig(3) = WGAMMA(cie(3))
      cig(4) = WGAMMA(cie(4))
      cig(5) = WGAMMA(cie(5))
      cig(6) = WGAMMA(cie(6))
      cig(7) = WGAMMA(cie(7))
      oig1 = 1./cig(1)
      oig2 = 1./cig(2)
      obmi = 1./bm_i

      cre(1) = bm_r + 1.
      cre(2) = mu_r + 1.
      cre(3) = bm_r + mu_r + 1.
      cre(4) = bm_r*2. + mu_r + 1.
      cre(5) = mu_r + bv_r + 1.
      cre(6) = bm_r + mu_r + bv_r + 1.
      cre(7) = bm_r*0.5 + mu_r + bv_r + 1.
      cre(8) = bm_r + mu_r + bv_r + 3.
      cre(9) = mu_r + bv_r + 3.
      cre(10) = mu_r + 2.
      cre(11) = 0.5*(bv_r + 5. + 2.*mu_r)
      cre(12) = bm_r*0.5 + mu_r + 1.
      cre(13) = bm_r*2. + mu_r + bv_r + 1.
      do n = 1, 13
         crg(n) = WGAMMA(cre(n))
      enddo
      obmr = 1./bm_r
      ore1 = 1./cre(1)
      org1 = 1./crg(1)
      org2 = 1./crg(2)
      org3 = 1./crg(3)

      cse(1) = bm_s + 1.
      cse(2) = bm_s + 2.
      cse(3) = bm_s*2.
      cse(4) = bm_s + bv_s + 1.
      cse(5) = bm_s*2. + bv_s + 1.
      cse(6) = bm_s*2. + 1.
      cse(7) = bm_s + mu_s + 1.
      cse(8) = bm_s + mu_s + 2.
      cse(9) = bm_s + mu_s + 3.
      cse(10) = bm_s + mu_s + bv_s + 1.
      cse(11) = bm_s*2. + mu_s + bv_s + 1.
      cse(12) = bm_s*2. + mu_s + 1.
      cse(13) = bv_s + 2.
      cse(14) = bm_s + bv_s
      cse(15) = mu_s + 1.
      cse(16) = 1.0 + (1.0 + bv_s)/2.
      cse(17) = cse(16) + mu_s + 1.
      cse(18) = bv_s + mu_s + 3.
      do n = 1, 18
         csg(n) = WGAMMA(cse(n))
      enddo
      oams = 1./am_s
      obms = 1./bm_s
      ocms = oams**obms

      cge(1) = bm_g + 1.
      cge(2) = mu_g + 1.
      cge(3) = bm_g + mu_g + 1.
      cge(4) = bm_g*2. + mu_g + 1.
      cge(5) = bm_g*2. + mu_g + bv_g + 1.
      cge(6) = bm_g + mu_g + bv_g + 1.
      cge(7) = bm_g + mu_g + bv_g + 2.
      cge(8) = bm_g + mu_g + bv_g + 3.
      cge(9) = mu_g + bv_g + 3.
      cge(10) = mu_g + 2.
      cge(11) = 0.5*(bv_g + 5. + 2.*mu_g)
      cge(12) = 0.5*(bv_g + 5.) + mu_g
      do n = 1, 12
         cgg(n) = WGAMMA(cge(n))
      enddo
      oamg = 1./am_g
      obmg = 1./bm_g
      ocmg = oamg**obmg
      oge1 = 1./cge(1)
      ogg1 = 1./cgg(1)
      ogg2 = 1./cgg(2)
      ogg3 = 1./cgg(3)

!+---+-----------------------------------------------------------------+
!..Simplify various rate eqns the best we can now.
!+---+-----------------------------------------------------------------+

!..Rain collecting cloud water and cloud ice
      t1_qr_qc = PI*.25*av_r * crg(9)
      t1_qr_qi = PI*.25*av_r * crg(9)
      t2_qr_qi = PI*.25*am_r*av_r * crg(8)

!..Graupel collecting cloud water
      t1_qg_qc = PI*.25*av_g * cgg(9)

!..Snow collecting cloud water
      t1_qs_qc = PI*.25*av_s

!..Snow collecting cloud ice
      t1_qs_qi = PI*.25*av_s

!..Evaporation of rain; ignore depositional growth of rain.
      t1_qr_ev = 0.78 * crg(10)
      t2_qr_ev = 0.308*Sc3*SQRT(av_r) * crg(11)

!..Sublimation/depositional growth of snow
      t1_qs_sd = 0.86
      t2_qs_sd = 0.28*Sc3*SQRT(av_s)

!..Melting of snow
      t1_qs_me = PI*4.*C_sqrd*olfus * 0.86
      t2_qs_me = PI*4.*C_sqrd*olfus * 0.28*Sc3*SQRT(av_s)

!..Sublimation/depositional growth of graupel
      t1_qg_sd = 0.86 * cgg(10)
      t2_qg_sd = 0.28*Sc3*SQRT(av_g) * cgg(11)

!..Melting of graupel
      t1_qg_me = PI*4.*C_cube*olfus * 0.86 * cgg(10)
      t2_qg_me = PI*4.*C_cube*olfus * 0.28*Sc3*SQRT(av_g) * cgg(11)

!..Constants for helping find lookup table indexes.
      nic2 = NINT(ALOG10(r_c(1)))
      nii2 = NINT(ALOG10(r_i(1)))
      nii3 = NINT(ALOG10(Nt_i(1)))
      nir2 = NINT(ALOG10(r_r(1)))
      nir3 = NINT(ALOG10(N0r_exp(1)))
      nis2 = NINT(ALOG10(r_s(1)))
      nig2 = NINT(ALOG10(r_g(1)))
      nig3 = NINT(ALOG10(N0g_exp(1)))

!..Create bins of cloud water (from min diameter up to 100 microns).
      Dc(1) = D0c*1.0d0
      dtc(1) = D0c*1.0d0
      do n = 2, nbc
         Dc(n) = Dc(n-1) + 1.0D-6
         dtc(n) = (Dc(n) - Dc(n-1))
      enddo

!..Create bins of cloud ice (from min diameter up to 5x min snow size).
      xDx(1) = D0i*1.0d0
      xDx(nbi+1) = 5.0d0*D0s
      do n = 2, nbi
         xDx(n) = DEXP(DFLOAT(n-1)/DFLOAT(nbi) &
                  *DLOG(xDx(nbi+1)/xDx(1)) +DLOG(xDx(1)))
      enddo
      do n = 1, nbi
         Di(n) = DSQRT(xDx(n)*xDx(n+1))
         dti(n) = xDx(n+1) - xDx(n)
      enddo

!..Create bins of rain (from min diameter up to 5 mm).
      xDx(1) = D0r*1.0d0
      xDx(nbr+1) = 0.005d0
      do n = 2, nbr
         xDx(n) = DEXP(DFLOAT(n-1)/DFLOAT(nbr) &
                  *DLOG(xDx(nbr+1)/xDx(1)) +DLOG(xDx(1)))
      enddo
      do n = 1, nbr
         Dr(n) = DSQRT(xDx(n)*xDx(n+1))
         dtr(n) = xDx(n+1) - xDx(n)
      enddo

!..Create bins of snow (from min diameter up to 2 cm).
      xDx(1) = D0s*1.0d0
      xDx(nbs+1) = 0.02d0
      do n = 2, nbs
         xDx(n) = DEXP(DFLOAT(n-1)/DFLOAT(nbs) &
                  *DLOG(xDx(nbs+1)/xDx(1)) +DLOG(xDx(1)))
      enddo
      do n = 1, nbs
         Ds(n) = DSQRT(xDx(n)*xDx(n+1))
         dts(n) = xDx(n+1) - xDx(n)
      enddo

!..Create bins of graupel (from min diameter up to 5 cm).
      xDx(1) = D0g*1.0d0
      xDx(nbg+1) = 0.05d0
      do n = 2, nbg
         xDx(n) = DEXP(DFLOAT(n-1)/DFLOAT(nbg) &
                  *DLOG(xDx(nbg+1)/xDx(1)) +DLOG(xDx(1)))
      enddo
      do n = 1, nbg
         Dg(n) = DSQRT(xDx(n)*xDx(n+1))
         dtg(n) = xDx(n+1) - xDx(n)
      enddo

!+---+-----------------------------------------------------------------+
!..Create lookup tables for most costly calculations.
!+---+-----------------------------------------------------------------+

      do m = 1, ntb_r
         do k = 1, ntb_r1
            do j = 1, ntb_g
               do i = 1, ntb_g1
                  tcg_racg(i,j,k,m) = 0.0d0
                  tmr_racg(i,j,k,m) = 0.0d0
                  tcr_gacr(i,j,k,m) = 0.0d0
                  tmg_gacr(i,j,k,m) = 0.0d0
                  tnr_racg(i,j,k,m) = 0.0d0
                  tnr_gacr(i,j,k,m) = 0.0d0
               enddo
            enddo
         enddo
      enddo

      do m = 1, ntb_r
         do k = 1, ntb_r1
            do j = 1, ntb_t
               do i = 1, ntb_s
                  tcs_racs1(i,j,k,m) = 0.0d0
                  tmr_racs1(i,j,k,m) = 0.0d0
                  tcs_racs2(i,j,k,m) = 0.0d0
                  tmr_racs2(i,j,k,m) = 0.0d0
                  tcr_sacr1(i,j,k,m) = 0.0d0
                  tms_sacr1(i,j,k,m) = 0.0d0
                  tcr_sacr2(i,j,k,m) = 0.0d0
                  tms_sacr2(i,j,k,m) = 0.0d0
                  tnr_racs1(i,j,k,m) = 0.0d0
                  tnr_racs2(i,j,k,m) = 0.0d0
                  tnr_sacr1(i,j,k,m) = 0.0d0
                  tnr_sacr2(i,j,k,m) = 0.0d0
               enddo
            enddo
         enddo
      enddo

      do k = 1, 45
         do j = 1, ntb_r1
            do i = 1, ntb_r
               tpi_qrfz(i,j,k) = 0.0d0
               tni_qrfz(i,j,k) = 0.0d0
               tpg_qrfz(i,j,k) = 0.0d0
               tnr_qrfz(i,j,k) = 0.0d0
            enddo
         enddo
         do i = 1, ntb_c
            tpi_qcfz(i,k) = 0.0d0
            tni_qcfz(i,k) = 0.0d0
         enddo
      enddo

      do j = 1, ntb_i1
         do i = 1, ntb_i
            tps_iaus(i,j) = 0.0d0
            tni_iaus(i,j) = 0.0d0
            tpi_ide(i,j) = 0.0d0
         enddo
      enddo

      do j = 1, nbc
         do i = 1, nbr
            t_Efrw(i,j) = 0.0
         enddo
         do i = 1, nbs
            t_Efsw(i,j) = 0.0
         enddo
      enddo

      do k = 1, ntb_r
         do j = 1, ntb_r1
            do i = 1, nbr
               tnr_rev(i,j,k) = 0.0d0
            enddo
         enddo
      enddo

      CALL wrf_debug(150, 'CREATING MICROPHYSICS LOOKUP TABLES ... ')
      WRITE (wrf_err_message, '(a, f5.2, a, f5.2, a, f5.2, a, f5.2)') &
          ' using: mu_c=',mu_c,' mu_i=',mu_i,' mu_r=',mu_r,' mu_g=',mu_g
      CALL wrf_debug(150, wrf_err_message)

!..Collision efficiency between rain/snow and cloud water.
      CALL wrf_debug(200, '  creating qc collision eff tables')
      call table_Efrw
      call table_Efsw

!..Drop evaporation.
!     CALL wrf_debug(200, '  creating rain evap table')
!     call table_dropEvap

!..Initialize various constants for computing radar reflectivity.
!     call radar_init

      if (.not. iiwarm) then

!..Rain collecting graupel & graupel collecting rain.
      CALL wrf_debug(200, '  creating rain collecting graupel table')
      call qr_acr_qg

!..Rain collecting snow & snow collecting rain.
      CALL wrf_debug(200, '  creating rain collecting snow table')
      call qr_acr_qs

!..Cloud water and rain freezing (Bigg, 1953).
      CALL wrf_debug(200, '  creating freezing of water drops table')
      call freezeH2O

!..Conversion of some ice mass into snow category.
      CALL wrf_debug(200, '  creating ice converting to snow table')
      call qi_aut_qs

      endif

      CALL wrf_debug(150, ' ... DONE microphysical lookup tables')

      endif

      END SUBROUTINE thompson_init
!+---+-----------------------------------------------------------------+
!ctrlL
!+---+-----------------------------------------------------------------+
!..This is a wrapper routine designed to transfer values from 3D to 1D.
!+---+-----------------------------------------------------------------+
      SUBROUTINE mp_gt_driver(qv, qc, qr, qi, qs, qg, ni, nr, &
                              th, pii, p, dz, dt_in, itimestep, &
                              RAINNC, RAINNCV, &
                              SNOWNC, SNOWNCV, &
                              GRAUPELNC, GRAUPELNCV, &
                              SR, &
!                             refl_10cm, grid_clock, grid_alarms, &
                              ids,ide, jds,jde, kds,kde, &             ! domain dims
                              ims,ime, jms,jme, kms,kme, &             ! memory dims
                              its,ite, jts,jte, kts,kte)               ! tile dims

      implicit none

!..Subroutine arguments
      INTEGER, INTENT(IN):: ids,ide, jds,jde, kds,kde, &
                            ims,ime, jms,jme, kms,kme, &
                            its,ite, jts,jte, kts,kte
      REAL, DIMENSION(ims:ime, kms:kme, jms:jme), INTENT(INOUT):: &
                          qv, qc, qr, qi, qs, qg, ni, nr, th
      REAL, DIMENSION(ims:ime, kms:kme, jms:jme), INTENT(IN):: &
                          pii, p, dz
      REAL, DIMENSION(ims:ime, jms:jme), INTENT(INOUT):: &
                          RAINNC, RAINNCV, SR
      REAL, DIMENSION(ims:ime, jms:jme), OPTIONAL, INTENT(INOUT)::      &
                          SNOWNC, SNOWNCV, GRAUPELNC, GRAUPELNCV
!     REAL, DIMENSION(ims:ime, kms:kme, jms:jme), INTENT(INOUT)::       &
!                         refl_10cm
      REAL, INTENT(IN):: dt_in
      INTEGER, INTENT(IN):: itimestep

!     TYPE (WRFU_Clock):: grid_clock
!     TYPE (WRFU_Alarm), POINTER:: grid_alarms(:)

!..Local variables
      REAL, DIMENSION(kts:kte):: &
                          qv1d, qc1d, qi1d, qr1d, qs1d, qg1d, ni1d, &
                          nr1d, t1d, p1d, dz1d, dBZ
      REAL, DIMENSION(its:ite, jts:jte):: pcp_ra, pcp_sn, pcp_gr, pcp_ic
      REAL:: dt, pptrain, pptsnow, pptgraul, pptice
      REAL:: qc_max, qr_max, qs_max, qi_max, qg_max, ni_max, nr_max
      INTEGER:: i, j, k
      INTEGER:: imax_qc,imax_qr,imax_qi,imax_qs,imax_qg,imax_ni,imax_nr
      INTEGER:: jmax_qc,jmax_qr,jmax_qi,jmax_qs,jmax_qg,jmax_ni,jmax_nr
      INTEGER:: kmax_qc,kmax_qr,kmax_qi,kmax_qs,kmax_qg,kmax_ni,kmax_nr
      INTEGER:: i_start, j_start, i_end, j_end
      LOGICAL:: dBZ_tstep

!+---+

      dBZ_tstep = .false.
!     if ( Is_alarm_tstep(grid_clock, grid_alarms(HISTORY_ALARM)) ) then
!        dBZ_tstep = .true.
!     endif

      i_start = its
      j_start = jts
      i_end   = ite
      j_end   = jte

!..For idealized testing by developer.
      if ( (ide-ids+1).gt.4 .and. (jde-jds+1).lt.4 .and.                &
           ids.eq.its.and.ide.eq.ite.and.jds.eq.jts.and.jde.eq.jte) then
         i_start = its + 2
         i_end   = ite - 1
         j_start = jts
         j_end   = jte
      endif

      dt = dt_in
   
      qc_max = 0.
      qr_max = 0.
      qs_max = 0.
      qi_max = 0.
      qg_max = 0
      ni_max = 0.
      nr_max = 0.
      imax_qc = 0
      imax_qr = 0
      imax_qi = 0
      imax_qs = 0
      imax_qg = 0
      imax_ni = 0
      imax_nr = 0
      jmax_qc = 0
      jmax_qr = 0
      jmax_qi = 0
      jmax_qs = 0
      jmax_qg = 0
      jmax_ni = 0
      jmax_nr = 0
      kmax_qc = 0
      kmax_qr = 0
      kmax_qi = 0
      kmax_qs = 0
      kmax_qg = 0
      kmax_ni = 0
      kmax_nr = 0
      do i = 1, 256
         mp_debug(i:i) = char(0)
      enddo

      j_loop:  do j = j_start, j_end
      i_loop:  do i = i_start, i_end

         pptrain = 0.
         pptsnow = 0.
         pptgraul = 0.
         pptice = 0.
         RAINNCV(i,j) = 0.
         IF ( PRESENT (snowncv) ) THEN
            SNOWNCV(i,j) = 0.
         ENDIF
         IF ( PRESENT (graupelncv) ) THEN
            GRAUPELNCV(i,j) = 0.
         ENDIF
         SR(i,j) = 0.

         do k = kts, kte
            t1d(k) = th(i,k,j)*pii(i,k,j)
            p1d(k) = p(i,k,j)
            dz1d(k) = dz(i,k,j)
            qv1d(k) = qv(i,k,j)
            qc1d(k) = qc(i,k,j)
            qi1d(k) = qi(i,k,j)
            qr1d(k) = qr(i,k,j)
            qs1d(k) = qs(i,k,j)
            qg1d(k) = qg(i,k,j)
            ni1d(k) = ni(i,k,j)
            nr1d(k) = nr(i,k,j)
         enddo

         call mp_thompson(qv1d, qc1d, qi1d, qr1d, qs1d, qg1d, ni1d, &
                      nr1d, t1d, p1d, dz1d, &
                      pptrain, pptsnow, pptgraul, pptice, &
                      kts, kte, dt, i, j)

         pcp_ra(i,j) = pptrain
         pcp_sn(i,j) = pptsnow
         pcp_gr(i,j) = pptgraul
         pcp_ic(i,j) = pptice
         RAINNCV(i,j) = pptrain + pptsnow + pptgraul + pptice
         RAINNC(i,j) = RAINNC(i,j) + pptrain + pptsnow + pptgraul + pptice
         IF ( PRESENT(snowncv) .AND. PRESENT(snownc) ) THEN
            SNOWNCV(i,j) = pptsnow + pptice
            SNOWNC(i,j) = SNOWNC(i,j) + pptsnow + pptice
         ENDIF
         IF ( PRESENT(graupelncv) .AND. PRESENT(graupelnc) ) THEN
            GRAUPELNCV(i,j) = pptgraul
            GRAUPELNC(i,j) = GRAUPELNC(i,j) + pptgraul
         ENDIF
         SR(i,j) = (pptsnow + pptgraul + pptice)/(RAINNCV(i,j)+1.e-12)

         do k = kts, kte
            qv(i,k,j) = qv1d(k)
            qc(i,k,j) = qc1d(k)
            qi(i,k,j) = qi1d(k)
            qr(i,k,j) = qr1d(k)
            qs(i,k,j) = qs1d(k)
            qg(i,k,j) = qg1d(k)
            ni(i,k,j) = ni1d(k)
            nr(i,k,j) = nr1d(k)
            th(i,k,j) = t1d(k)/pii(i,k,j)
            if (qc1d(k) .gt. qc_max) then
             imax_qc = i
             jmax_qc = j
             kmax_qc = k
             qc_max = qc1d(k)
            elseif (qc1d(k) .lt. 0.0) then
             write(mp_debug,*) 'WARNING, negative qc ', qc1d(k),        &
                        ' at i,j,k=', i,j,k
             CALL wrf_debug(150, mp_debug)
            endif
            if (qr1d(k) .gt. qr_max) then
             imax_qr = i
             jmax_qr = j
             kmax_qr = k
             qr_max = qr1d(k)
            elseif (qr1d(k) .lt. 0.0) then
             write(mp_debug,*) 'WARNING, negative qr ', qr1d(k),        &
                        ' at i,j,k=', i,j,k
             CALL wrf_debug(150, mp_debug)
            endif
            if (nr1d(k) .gt. nr_max) then
             imax_nr = i
             jmax_nr = j
             kmax_nr = k
             nr_max = nr1d(k)
            elseif (nr1d(k) .lt. 0.0) then
             write(mp_debug,*) 'WARNING, negative nr ', nr1d(k),        &
                        ' at i,j,k=', i,j,k
             CALL wrf_debug(150, mp_debug)
            endif
            if (qs1d(k) .gt. qs_max) then
             imax_qs = i
             jmax_qs = j
             kmax_qs = k
             qs_max = qs1d(k)
            elseif (qs1d(k) .lt. 0.0) then
             write(mp_debug,*) 'WARNING, negative qs ', qs1d(k),        &
                        ' at i,j,k=', i,j,k
             CALL wrf_debug(150, mp_debug)
            endif
            if (qi1d(k) .gt. qi_max) then
             imax_qi = i
             jmax_qi = j
             kmax_qi = k
             qi_max = qi1d(k)
            elseif (qi1d(k) .lt. 0.0) then
             write(mp_debug,*) 'WARNING, negative qi ', qi1d(k),        &
                        ' at i,j,k=', i,j,k
             CALL wrf_debug(150, mp_debug)
            endif
            if (qg1d(k) .gt. qg_max) then
             imax_qg = i
             jmax_qg = j
             kmax_qg = k
             qg_max = qg1d(k)
            elseif (qg1d(k) .lt. 0.0) then
             write(mp_debug,*) 'WARNING, negative qg ', qg1d(k),        &
                        ' at i,j,k=', i,j,k
             CALL wrf_debug(150, mp_debug)
            endif
            if (ni1d(k) .gt. ni_max) then
             imax_ni = i
             jmax_ni = j
             kmax_ni = k
             ni_max = ni1d(k)
            elseif (ni1d(k) .lt. 0.0) then
             write(mp_debug,*) 'WARNING, negative ni ', ni1d(k),        &
                        ' at i,j,k=', i,j,k
             CALL wrf_debug(150, mp_debug)
            endif
            if (qv1d(k) .lt. 0.0) then
             if (k.lt.kte-2 .and. k.gt.kts+1) then
                qv(i,k,j) = 0.5*(qv(i,k-1,j) + qv(i,k+1,j))
             else
                qv(i,k,j) = 1.E-7
             endif
             write(mp_debug,*) 'WARNING, negative qv ', qv1d(k),        &
                        ' at i,j,k=', i,j,k
             CALL wrf_debug(150, mp_debug)
            endif
         enddo

!        if (dBZ_tstep) then
!         call calc_refl10cm (qv1d, qc1d, qr1d, nr1d, qs1d, qg1d,       &
!                     t1d, p1d, dBZ, kts, kte, i, j)
!         do k = kts, kte
!            refl_10cm(i,k,j) = MAX(-35., dBZ(k))
!         enddo
!        endif

      enddo i_loop
      enddo j_loop

! DEBUG - GT
      write(mp_debug,'(a,7(a,e13.6,1x,a,i3,a,i3,a,i3,a,1x))') 'MP-GT:', &
         'qc: ', qc_max, '(', imax_qc, ',', jmax_qc, ',', kmax_qc, ')', &
         'qr: ', qr_max, '(', imax_qr, ',', jmax_qr, ',', kmax_qr, ')', &
         'qi: ', qi_max, '(', imax_qi, ',', jmax_qi, ',', kmax_qi, ')', &
         'qs: ', qs_max, '(', imax_qs, ',', jmax_qs, ',', kmax_qs, ')', &
         'qg: ', qg_max, '(', imax_qg, ',', jmax_qg, ',', kmax_qg, ')', &
         'ni: ', ni_max, '(', imax_ni, ',', jmax_ni, ',', kmax_ni, ')', &
         'nr: ', nr_max, '(', imax_nr, ',', jmax_nr, ',', kmax_nr, ')'
      CALL wrf_debug(150, mp_debug)
! END DEBUG - GT

      do i = 1, 256
         mp_debug(i:i) = char(0)
      enddo

      END SUBROUTINE mp_gt_driver

!+---+-----------------------------------------------------------------+
!ctrlL
!+---+-----------------------------------------------------------------+
!+---+-----------------------------------------------------------------+
!.. This subroutine computes the moisture tendencies of water vapor,
!.. cloud droplets, rain, cloud ice (pristine), snow, and graupel.
!.. Previously this code was based on Reisner et al (1998), but few of
!.. those pieces remain.  A complete description is now found in
!.. Thompson et al. (2004, 2008).
!+---+-----------------------------------------------------------------+
!
      subroutine mp_thompson (qv1d, qc1d, qi1d, qr1d, qs1d, qg1d, ni1d, &
                          nr1d, t1d, p1d, dzq, &
                          pptrain, pptsnow, pptgraul, pptice, &
                          kts, kte, dt, ii, jj)

      implicit none

!..Sub arguments
      INTEGER, INTENT(IN):: kts, kte, ii, jj
      REAL, DIMENSION(kts:kte), INTENT(INOUT):: &
                          qv1d, qc1d, qi1d, qr1d, qs1d, qg1d, ni1d, &
                          nr1d, t1d, p1d
      REAL, DIMENSION(kts:kte), INTENT(IN):: dzq
      REAL, INTENT(INOUT):: pptrain, pptsnow, pptgraul, pptice
      REAL, INTENT(IN):: dt

!..Local variables
      REAL, DIMENSION(kts:kte):: tten, qvten, qcten, qiten, &
           qrten, qsten, qgten, niten, nrten

      DOUBLE PRECISION, DIMENSION(kts:kte):: prw_vcd

      DOUBLE PRECISION, DIMENSION(kts:kte):: prr_wau, prr_rcw, prr_rcs, &
           prr_rcg, prr_sml, prr_gml, &
           prr_rci, prv_rev,          &
           pnr_wau, pnr_rcs, pnr_rcg, &
           pnr_rci, pnr_sml, pnr_gml, &
           pnr_rev, pnr_rcr, pnr_rfz

      DOUBLE PRECISION, DIMENSION(kts:kte):: pri_inu, pni_inu, pri_ihm, &
           pni_ihm, pri_wfz, pni_wfz, &
           pri_rfz, pni_rfz, pri_ide, &
           pni_ide, pri_rci, pni_rci, &
           pni_sci, pni_iau

      DOUBLE PRECISION, DIMENSION(kts:kte):: prs_iau, prs_sci, prs_rcs, &
           prs_scw, prs_sde, prs_ihm, &
           prs_ide

      DOUBLE PRECISION, DIMENSION(kts:kte):: prg_scw, prg_rfz, prg_gde, &
           prg_gcw, prg_rci, prg_rcs, &
           prg_rcg, prg_ihm

      REAL, DIMENSION(kts:kte):: temp, pres, qv
      REAL, DIMENSION(kts:kte):: rc, ri, rr, rs, rg, ni, nr
      REAL, DIMENSION(kts:kte):: rho, rhof, rhof2
      REAL, DIMENSION(kts:kte):: qvs, qvsi
      REAL, DIMENSION(kts:kte):: satw, sati, ssatw, ssati
      REAL, DIMENSION(kts:kte):: diffu, visco, vsc2, &
           tcond, lvap, ocp, lvt2

      DOUBLE PRECISION, DIMENSION(kts:kte):: ilamr, ilamg, N0_r, N0_g
      REAL, DIMENSION(kts:kte):: mvd_r, mvd_c
      REAL, DIMENSION(kts:kte):: smob, smo2, smo1, smo0, &
           smoc, smod, smoe, smof

      REAL, DIMENSION(kts:kte):: sed_r, sed_s, sed_g, sed_i, sed_n

      REAL:: rgvm, delta_tp, orho, lfus2
      REAL, DIMENSION(4):: onstep
      DOUBLE PRECISION:: N0_exp, N0_min, lam_exp, lamc, lamr, lamg
      DOUBLE PRECISION:: lami, ilami
      REAL:: xDc, Dc_b, Dc_g, xDi, xDr, xDs, xDg, Ds_m, Dg_m
      DOUBLE PRECISION:: Dr_star
      REAL:: zeta1, zeta, taud, tau
      REAL:: stoke_r, stoke_s, stoke_g, stoke_i
      REAL:: vti, vtr, vts, vtg
      REAL, DIMENSION(kts:kte+1):: vtik, vtnik, vtrk, vtnrk, vtsk, vtgk
      REAL, DIMENSION(kts:kte):: vts_boost
      REAL:: Mrat, ils1, ils2, t1_vts, t2_vts, t3_vts, t4_vts, C_snow
      REAL:: a_, b_, loga_, A1, A2, tf
      REAL:: tempc, tc0, r_mvd1, r_mvd2, xkrat
      REAL:: xnc, xri, xni, xmi, oxmi, xrc, xrr, xnr
      REAL:: xsat, rate_max, sump, ratio
      REAL:: clap, fcd, dfcd
      REAL:: otemp, rvs, rvs_p, rvs_pp, gamsc, alphsc, t1_evap, t1_subl
      REAL:: r_frac, g_frac
      REAL:: Ef_rw, Ef_sw, Ef_gw, Ef_rr
      REAL:: dtsave, odts, odt, odzq
      REAL:: xslw1, ygra1, zans1
      INTEGER:: i, k, k2, n, nn, nstep, k_0, kbot, IT, iexfrq
      INTEGER, DIMENSION(4):: ksed1
      INTEGER:: nir, nis, nig, nii, nic
      INTEGER:: idx_tc, idx_t, idx_s, idx_g1, idx_g, idx_r1, idx_r,     &
                idx_i1, idx_i, idx_c, idx, idx_d
      LOGICAL:: melti, no_micro
      LOGICAL, DIMENSION(kts:kte):: L_qc, L_qi, L_qr, L_qs, L_qg
      LOGICAL:: debug_flag

!+---+

      debug_flag = .false.
      if (ii.eq.315 .and. jj.eq.2) debug_flag = .true.

      no_micro = .true.
      dtsave = dt
      odt = 1./dt
      odts = 1./dtsave
      iexfrq = 1

!+---+-----------------------------------------------------------------+
!.. Source/sink terms.  First 2 chars: "pr" represents source/sink of
!.. mass while "pn" represents source/sink of number.  Next char is one
!.. of "v" for water vapor, "r" for rain, "i" for cloud ice, "w" for
!.. cloud water, "s" for snow, and "g" for graupel.  Next chars
!.. represent processes: "de" for sublimation/deposition, "ev" for
!.. evaporation, "fz" for freezing, "ml" for melting, "au" for
!.. autoconversion, "nu" for ice nucleation, "hm" for Hallet/Mossop
!.. secondary ice production, and "c" for collection followed by the
!.. character for the species being collected.  ALL of these terms are
!.. positive (except for deposition/sublimation terms which can switch
!.. signs based on super/subsaturation) and are treated as negatives
!.. where necessary in the tendency equations.
!+---+-----------------------------------------------------------------+

      do k = kts, kte
         tten(k) = 0.
         qvten(k) = 0.
         qcten(k) = 0.
         qiten(k) = 0.
         qrten(k) = 0.
         qsten(k) = 0.
         qgten(k) = 0.
         niten(k) = 0.
         nrten(k) = 0.

         prw_vcd(k) = 0.

         prv_rev(k) = 0.
         prr_wau(k) = 0.
         prr_rcw(k) = 0.
         prr_rcs(k) = 0.
         prr_rcg(k) = 0.
         prr_sml(k) = 0.
         prr_gml(k) = 0.
         prr_rci(k) = 0.
         pnr_wau(k) = 0.
         pnr_rcs(k) = 0.
         pnr_rcg(k) = 0.
         pnr_rci(k) = 0.
         pnr_sml(k) = 0.
         pnr_gml(k) = 0.
         pnr_rev(k) = 0.
         pnr_rcr(k) = 0.
         pnr_rfz(k) = 0.

         pri_inu(k) = 0.
         pni_inu(k) = 0.
         pri_ihm(k) = 0.
         pni_ihm(k) = 0.
         pri_wfz(k) = 0.
         pni_wfz(k) = 0.
         pri_rfz(k) = 0.
         pni_rfz(k) = 0.
         pri_ide(k) = 0.
         pni_ide(k) = 0.
         pri_rci(k) = 0.
         pni_rci(k) = 0.
         pni_sci(k) = 0.
         pni_iau(k) = 0.

         prs_iau(k) = 0.
         prs_sci(k) = 0.
         prs_rcs(k) = 0.
         prs_scw(k) = 0.
         prs_sde(k) = 0.
         prs_ihm(k) = 0.
         prs_ide(k) = 0.

         prg_scw(k) = 0.
         prg_rfz(k) = 0.
         prg_gde(k) = 0.
         prg_gcw(k) = 0.
         prg_rci(k) = 0.
         prg_rcs(k) = 0.
         prg_rcg(k) = 0.
         prg_ihm(k) = 0.
      enddo

!+---+-----------------------------------------------------------------+
!..Put column of data into local arrays.
!+---+-----------------------------------------------------------------+
      do k = kts, kte
         temp(k) = t1d(k)
         qv(k) = MAX(1.E-10, qv1d(k))
         pres(k) = p1d(k)
         rho(k) = 0.622*pres(k)/(R*temp(k)*(qv(k)+0.622))
         if (qc1d(k) .gt. R1) then
            no_micro = .false.
            rc(k) = qc1d(k)*rho(k)
            L_qc(k) = .true.
         else
            qc1d(k) = 0.0
            rc(k) = R1
            L_qc(k) = .false.
         endif
         if (qi1d(k) .gt. R1) then
            no_micro = .false.
            ri(k) = qi1d(k)*rho(k)
            ni(k) = MAX(R2, ni1d(k)*rho(k))
            L_qi(k) = .true.
            lami = (am_i*cig(2)*oig1*ni(k)/ri(k))**obmi
            ilami = 1./lami
            xDi = (bm_i + mu_i + 1.) * ilami
            if (xDi.lt. 20.E-6) then
             lami = cie(2)/20.E-6
             ni(k) = MIN(500.D3, cig(1)*oig2*ri(k)/am_i*lami**bm_i)
            elseif (xDi.gt. 300.E-6) then
             lami = cie(2)/300.E-6
             ni(k) = cig(1)*oig2*ri(k)/am_i*lami**bm_i
            endif
         else
            qi1d(k) = 0.0
            ni1d(k) = 0.0
            ri(k) = R1
            ni(k) = R2
            L_qi(k) = .false.
         endif

         if (qr1d(k) .gt. R1) then
            no_micro = .false.
            rr(k) = qr1d(k)*rho(k)
            nr(k) = MAX(R2, nr1d(k)*rho(k))
            L_qr(k) = .true.
            if (nr(k) .gt. R2) then
             lamr = (am_r*crg(3)*org2*nr(k)/rr(k))**obmr
             mvd_r(k) = (3.0 + mu_r + 0.672) / lamr
             if (mvd_r(k) .gt. 2.5E-3) then
                mvd_r(k) = 2.5E-3
                lamr = (3.0 + mu_r + 0.672) / mvd_r(k)
                nr(k) = crg(2)*org3*rr(k)*lamr**bm_r / am_r
             elseif (mvd_r(k) .lt. D0r*0.75) then
                mvd_r(k) = D0r*0.75
                lamr = (3.0 + mu_r + 0.672) / mvd_r(k)
                nr(k) = crg(2)*org3*rr(k)*lamr**bm_r / am_r
             endif
            else
             if (qr1d(k) .gt. R2) then
                mvd_r(k) = 1.0E-3
             else
                mvd_r(k) = 2.5E-3 / 3.0**(ALOG10(R2)-ALOG10(qr1d(k)))
             endif
             lamr = (3.0 + mu_r + 0.672) / mvd_r(k)
             nr(k) = crg(2)*org3*rr(k)*lamr**bm_r / am_r
            endif
         else
            qr1d(k) = 0.0
            nr1d(k) = 0.0
            rr(k) = R1
            nr(k) = R2
            L_qr(k) = .false.
         endif
         if (qs1d(k) .gt. R1) then
            no_micro = .false.
            rs(k) = qs1d(k)*rho(k)
            L_qs(k) = .true.
         else
            qs1d(k) = 0.0
            rs(k) = R1
            L_qs(k) = .false.
         endif
         if (qg1d(k) .gt. R1) then
            no_micro = .false.
            rg(k) = qg1d(k)*rho(k)
            L_qg(k) = .true.
         else
            qg1d(k) = 0.0
            rg(k) = R1
            L_qg(k) = .false.
         endif
      enddo


!+---+-----------------------------------------------------------------+
!..Derive various thermodynamic variables frequently used.
!.. Saturation vapor pressure (mixing ratio) over liquid/ice comes from
!.. Flatau et al. 1992; enthalpy (latent heat) of vaporization from
!.. Bohren & Albrecht 1998; others from Pruppacher & Klett 1978.
!+---+-----------------------------------------------------------------+
      do k = kts, kte
         tempc = temp(k) - 273.15
         rhof(k) = SQRT(RHO_NOT/rho(k))
         rhof2(k) = SQRT(rhof(k))
         qvs(k) = rslf(pres(k), temp(k))
         if (tempc .le. 0.0) then
          qvsi(k) = rsif(pres(k), temp(k))
         else
          qvsi(k) = qvs(k)
         endif
         satw(k) = qv(k)/qvs(k)
         sati(k) = qv(k)/qvsi(k)
         ssatw(k) = satw(k) - 1.
         ssati(k) = sati(k) - 1.
         if (abs(ssatw(k)).lt. eps) ssatw(k) = 0.0
         if (abs(ssati(k)).lt. eps) ssati(k) = 0.0
         if (no_micro .and. ssati(k).gt. 0.0) no_micro = .false.
         diffu(k) = 2.11E-5*(temp(k)/273.15)**1.94 * (101325./pres(k))
         if (tempc .ge. 0.0) then
            visco(k) = (1.718+0.0049*tempc)*1.0E-5
         else
            visco(k) = (1.718+0.0049*tempc-1.2E-5*tempc*tempc)*1.0E-5
         endif
         ocp(k) = 1./(Cp*(1.+0.887*qv(k)))
         vsc2(k) = SQRT(rho(k)/visco(k))
         lvap(k) = lvap0 + (2106.0 - 4218.0)*tempc
         tcond(k) = (5.69 + 0.0168*tempc)*1.0E-5 * 418.936
      enddo

!+---+-----------------------------------------------------------------+
!..If no existing hydrometeor species and no chance to initiate ice or
!.. condense cloud water, just exit quickly!
!+---+-----------------------------------------------------------------+

      if (no_micro) return

!+---+-----------------------------------------------------------------+
!..Calculate y-intercept, slope, and useful moments for snow.
!+---+-----------------------------------------------------------------+
      if (.not. iiwarm) then
      do k = kts, kte
         if (.not. L_qs(k)) CYCLE
         tc0 = MIN(-0.1, temp(k)-273.15)
         smob(k) = rs(k)*oams

!..All other moments based on reference, 2nd moment.  If bm_s.ne.2,
!.. then we must compute actual 2nd moment and use as reference.
         if (bm_s.gt.(2.0-1.e-3) .and. bm_s.lt.(2.0+1.e-3)) then
            smo2(k) = smob(k)
         else
            loga_ = sa(1) + sa(2)*tc0 + sa(3)*bm_s &
               + sa(4)*tc0*bm_s + sa(5)*tc0*tc0 &
               + sa(6)*bm_s*bm_s + sa(7)*tc0*tc0*bm_s &
               + sa(8)*tc0*bm_s*bm_s + sa(9)*tc0*tc0*tc0 &
               + sa(10)*bm_s*bm_s*bm_s
            a_ = 10.0**loga_
            b_ = sb(1) + sb(2)*tc0 + sb(3)*bm_s &
               + sb(4)*tc0*bm_s + sb(5)*tc0*tc0 &
               + sb(6)*bm_s*bm_s + sb(7)*tc0*tc0*bm_s &
               + sb(8)*tc0*bm_s*bm_s + sb(9)*tc0*tc0*tc0 &
               + sb(10)*bm_s*bm_s*bm_s
            smo2(k) = (smob(k)/a_)**(1./b_)
         endif

!..Calculate 0th moment.  Represents snow number concentration.
         loga_ = sa(1) + sa(2)*tc0 + sa(5)*tc0*tc0 + sa(9)*tc0*tc0*tc0
         a_ = 10.0**loga_
         b_ = sb(1) + sb(2)*tc0 + sb(5)*tc0*tc0 + sb(9)*tc0*tc0*tc0
         smo0(k) = a_ * smo2(k)**b_

!..Calculate 1st moment.  Useful for depositional growth and melting.
         loga_ = sa(1) + sa(2)*tc0 + sa(3) &
               + sa(4)*tc0 + sa(5)*tc0*tc0 &
               + sa(6) + sa(7)*tc0*tc0 &
               + sa(8)*tc0 + sa(9)*tc0*tc0*tc0 &
               + sa(10)
         a_ = 10.0**loga_
         b_ = sb(1)+ sb(2)*tc0 + sb(3) + sb(4)*tc0 &
              + sb(5)*tc0*tc0 + sb(6) &
              + sb(7)*tc0*tc0 + sb(8)*tc0 &
              + sb(9)*tc0*tc0*tc0 + sb(10)
         smo1(k) = a_ * smo2(k)**b_

!..Calculate bm_s+1 (th) moment.  Useful for diameter calcs.
         loga_ = sa(1) + sa(2)*tc0 + sa(3)*cse(1) &
               + sa(4)*tc0*cse(1) + sa(5)*tc0*tc0 &
               + sa(6)*cse(1)*cse(1) + sa(7)*tc0*tc0*cse(1) &
               + sa(8)*tc0*cse(1)*cse(1) + sa(9)*tc0*tc0*tc0 &
               + sa(10)*cse(1)*cse(1)*cse(1)
         a_ = 10.0**loga_
         b_ = sb(1)+ sb(2)*tc0 + sb(3)*cse(1) + sb(4)*tc0*cse(1) &
              + sb(5)*tc0*tc0 + sb(6)*cse(1)*cse(1) &
              + sb(7)*tc0*tc0*cse(1) + sb(8)*tc0*cse(1)*cse(1) &
              + sb(9)*tc0*tc0*tc0 + sb(10)*cse(1)*cse(1)*cse(1)
         smoc(k) = a_ * smo2(k)**b_

!..Calculate bv_s+2 (th) moment.  Useful for riming.
         loga_ = sa(1) + sa(2)*tc0 + sa(3)*cse(13) &
               + sa(4)*tc0*cse(13) + sa(5)*tc0*tc0 &
               + sa(6)*cse(13)*cse(13) + sa(7)*tc0*tc0*cse(13) &
               + sa(8)*tc0*cse(13)*cse(13) + sa(9)*tc0*tc0*tc0 &
               + sa(10)*cse(13)*cse(13)*cse(13)
         a_ = 10.0**loga_
         b_ = sb(1)+ sb(2)*tc0 + sb(3)*cse(13) + sb(4)*tc0*cse(13) &
              + sb(5)*tc0*tc0 + sb(6)*cse(13)*cse(13) &
              + sb(7)*tc0*tc0*cse(13) + sb(8)*tc0*cse(13)*cse(13) &
              + sb(9)*tc0*tc0*tc0 + sb(10)*cse(13)*cse(13)*cse(13)
         smoe(k) = a_ * smo2(k)**b_

!..Calculate 1+(bv_s+1)/2 (th) moment.  Useful for depositional growth.
         loga_ = sa(1) + sa(2)*tc0 + sa(3)*cse(16) &
               + sa(4)*tc0*cse(16) + sa(5)*tc0*tc0 &
               + sa(6)*cse(16)*cse(16) + sa(7)*tc0*tc0*cse(16) &
               + sa(8)*tc0*cse(16)*cse(16) + sa(9)*tc0*tc0*tc0 &
               + sa(10)*cse(16)*cse(16)*cse(16)
         a_ = 10.0**loga_
         b_ = sb(1)+ sb(2)*tc0 + sb(3)*cse(16) + sb(4)*tc0*cse(16) &
              + sb(5)*tc0*tc0 + sb(6)*cse(16)*cse(16) &
              + sb(7)*tc0*tc0*cse(16) + sb(8)*tc0*cse(16)*cse(16) &
              + sb(9)*tc0*tc0*tc0 + sb(10)*cse(16)*cse(16)*cse(16)
         smof(k) = a_ * smo2(k)**b_

      enddo

!+---+-----------------------------------------------------------------+
!..Calculate y-intercept, slope values for graupel.
!+---+-----------------------------------------------------------------+
      N0_min = gonv_max
      do k = kte, kts, -1
         if (temp(k).lt.T_0 .and. (rc(k)+rr(k)).gt.1.E-5) then
            xslw1 = 5. + alog10(max(1.E-5, min(1.E-2, (rc(k)+rr(k)))))
         else
            xslw1 = 0.
         endif
         ygra1 = 5. + alog10(max(1.E-5, min(1.E-2, rg(k))))
         zans1 = 3.324 + (3./(5.*xslw1*ygra1/(5.*xslw1+1.+0.25*ygra1)+1.+0.25*ygra1))
         N0_exp = 10.**(zans1)
         N0_exp = MAX(DBLE(gonv_min), MIN(N0_exp, DBLE(gonv_max)))
         N0_min = MIN(N0_exp, N0_min)
         N0_exp = N0_min
         lam_exp = (N0_exp*am_g*cgg(1)/rg(k))**oge1
         lamg = lam_exp * (cgg(3)*ogg2*ogg1)**obmg
         ilamg(k) = 1./lamg
         N0_g(k) = N0_exp/(cgg(2)*lam_exp) * lamg**cge(2)
!+---+-----------------------------------------------------------------+
!     if( debug_flag .and. k.lt.42) then
!        if (k.eq.41) write(mp_debug,*) 'DEBUG-GT:   K,   zans1,      rc,        rr,         rg,        N0_g'
!        if (k.eq.41) CALL wrf_debug(0, mp_debug)
!        write(mp_debug, 'a, i2, 1x, f6.3, 1x, 4(1x,e13.6,1x)')         &
!                   '  GT ', k, zans1, rc(k), rr(k), rg(k), N0_g(k)
!        CALL wrf_debug(0, mp_debug)
!     endif
!+---+-----------------------------------------------------------------+
      enddo

      endif

!+---+-----------------------------------------------------------------+
!..Calculate y-intercept, slope values for rain.
!+---+-----------------------------------------------------------------+
      do k = kte, kts, -1
         lamr = (am_r*crg(3)*org2*nr(k)/rr(k))**obmr
         ilamr(k) = 1./lamr
         mvd_r(k) = (3.0 + mu_r + 0.672) / lamr
         N0_r(k) = nr(k)*org2*lamr**cre(2)
      enddo

!+---+-----------------------------------------------------------------+
!..Compute warm-rain process terms (except evap done later).
!+---+-----------------------------------------------------------------+

      do k = kts, kte

!..Rain self-collection follows Seifert, 1994 and drop break-up
!.. follows Verlinde and Cotton, 1993.                                        RAIN2M
         if (L_qr(k) .and. mvd_r(k).gt. D0r) then
          Ef_rr = 1.0
          if (mvd_r(k) .gt. 1750.0E-6) then
             Ef_rr = 2.0 - EXP(2300.0*(mvd_r(k)-1750.0E-6))
          endif
          pnr_rcr(k) = Ef_rr * 8.*nr(k)*rr(k)
         endif

         if (.not. L_qc(k)) CYCLE
         xDc = MAX(D0c*1.E6, ((rc(k)/(am_r*Nt_c))**obmr) * 1.E6)
         lamc = (Nt_c*am_r* ccg(2) * ocg1 / rc(k))**obmr
         mvd_c(k) = (3.0+mu_c+0.672) / lamc

!..Autoconversion follows Berry & Reinhardt (1974) with characteristic
!.. diameters correctly computed from gamma distrib of cloud droplets.
         if (rc(k).gt. 0.01e-3) then
          Dc_g = ((ccg(3)*ocg2)**obmr / lamc) * 1.E6
          Dc_b = (xDc*xDc*xDc*Dc_g*Dc_g*Dc_g - xDc*xDc*xDc*xDc*xDc*xDc) &
                 **(1./6.)
          zeta1 = 0.5*((6.25E-6*xDc*Dc_b*Dc_b*Dc_b - 0.4) &
                     + abs(6.25E-6*xDc*Dc_b*Dc_b*Dc_b - 0.4))
          zeta = 0.027*rc(k)*zeta1
          taud = 0.5*((0.5*Dc_b - 7.5) + abs(0.5*Dc_b - 7.5)) + R1
          tau  = 3.72/(rc(k)*taud)
          prr_wau(k) = zeta/tau
          prr_wau(k) = MIN(DBLE(rc(k)*odts), prr_wau(k))
          pnr_wau(k) = prr_wau(k) / (am_r*mu_c/3.*D0r*D0r*D0r/rho(k))       ! RAIN2M
         endif

!..Rain collecting cloud water.  In CE, assume Dc<<Dr and vtc=~0.
         if (L_qr(k) .and. mvd_r(k).gt. D0r .and. mvd_c(k).gt. D0c) then
          lamr = 1./ilamr(k)
          idx = 1 + INT(nbr*DLOG(mvd_r(k)/Dr(1))/DLOG(Dr(nbr)/Dr(1)))
          idx = MIN(idx, nbr)
          Ef_rw = t_Efrw(idx, INT(mvd_c(k)*1.E6))
          prr_rcw(k) = rhof(k)*t1_qr_qc*Ef_rw*rc(k)*N0_r(k) &
                         *((lamr+fv_r)**(-cre(9)))
          prr_rcw(k) = MIN(DBLE(rc(k)*odts), prr_rcw(k))
         endif
      enddo

!+---+-----------------------------------------------------------------+
!..Compute all frozen hydrometeor species' process terms.
!+---+-----------------------------------------------------------------+
      if (.not. iiwarm) then
      do k = kts, kte
         vts_boost(k) = 1.5

!..Temperature lookup table indexes.
         tempc = temp(k) - 273.15
         idx_tc = MAX(1, MIN(NINT(-tempc), 45) )
         idx_t = INT( (tempc-2.5)/5. ) - 1
         idx_t = MAX(1, -idx_t)
         idx_t = MIN(idx_t, ntb_t)
         IT = MAX(1, MIN(NINT(-tempc), 31) )

!..Cloud water lookup table index.
         if (rc(k).gt. r_c(1)) then
          nic = NINT(ALOG10(rc(k)))
          do nn = nic-1, nic+1
             n = nn
             if ( (rc(k)/10.**nn).ge.1.0 .and. &
                  (rc(k)/10.**nn).lt.10.0) goto 141
          enddo
 141      continue
          idx_c = INT(rc(k)/10.**n) + 10*(n-nic2) - (n-nic2)
          idx_c = MAX(1, MIN(idx_c, ntb_c))
         else
          idx_c = 1
         endif

!..Cloud ice lookup table indexes.
         if (ri(k).gt. r_i(1)) then
          nii = NINT(ALOG10(ri(k)))
          do nn = nii-1, nii+1
             n = nn
             if ( (ri(k)/10.**nn).ge.1.0 .and. &
                  (ri(k)/10.**nn).lt.10.0) goto 142
          enddo
 142      continue
          idx_i = INT(ri(k)/10.**n) + 10*(n-nii2) - (n-nii2)
          idx_i = MAX(1, MIN(idx_i, ntb_i))
         else
          idx_i = 1
         endif

         if (ni(k).gt. Nt_i(1)) then
          nii = NINT(ALOG10(ni(k)))
          do nn = nii-1, nii+1
             n = nn
             if ( (ni(k)/10.**nn).ge.1.0 .and. &
                  (ni(k)/10.**nn).lt.10.0) goto 143
          enddo
 143      continue
          idx_i1 = INT(ni(k)/10.**n) + 10*(n-nii3) - (n-nii3)
          idx_i1 = MAX(1, MIN(idx_i1, ntb_i1))
         else
          idx_i1 = 1
         endif

!..Rain lookup table indexes.
         if (rr(k).gt. r_r(1)) then
          nir = NINT(ALOG10(rr(k)))
          do nn = nir-1, nir+1
             n = nn
             if ( (rr(k)/10.**nn).ge.1.0 .and. &
                  (rr(k)/10.**nn).lt.10.0) goto 144
          enddo
 144      continue
          idx_r = INT(rr(k)/10.**n) + 10*(n-nir2) - (n-nir2)
          idx_r = MAX(1, MIN(idx_r, ntb_r))

          lamr = 1./ilamr(k)
          lam_exp = lamr * (crg(3)*org2*org1)**bm_r
          N0_exp = org1*rr(k)/am_r * lam_exp**cre(1)
          nir = NINT(DLOG10(N0_exp))
          do nn = nir-1, nir+1
             n = nn
             if ( (N0_exp/10.**nn).ge.1.0 .and. &
                  (N0_exp/10.**nn).lt.10.0) goto 145
          enddo
 145      continue
          idx_r1 = INT(N0_exp/10.**n) + 10*(n-nir3) - (n-nir3)
          idx_r1 = MAX(1, MIN(idx_r1, ntb_r1))
         else
          idx_r = 1
          idx_r1 = ntb_r1
         endif

!..Snow lookup table index.
         if (rs(k).gt. r_s(1)) then
          nis = NINT(ALOG10(rs(k)))
          do nn = nis-1, nis+1
             n = nn
             if ( (rs(k)/10.**nn).ge.1.0 .and. &
                  (rs(k)/10.**nn).lt.10.0) goto 146
          enddo
 146      continue
          idx_s = INT(rs(k)/10.**n) + 10*(n-nis2) - (n-nis2)
          idx_s = MAX(1, MIN(idx_s, ntb_s))
         else
          idx_s = 1
         endif

!..Graupel lookup table index.
         if (rg(k).gt. r_g(1)) then
          nig = NINT(ALOG10(rg(k)))
          do nn = nig-1, nig+1
             n = nn
             if ( (rg(k)/10.**nn).ge.1.0 .and. &
                  (rg(k)/10.**nn).lt.10.0) goto 147
          enddo
 147      continue
          idx_g = INT(rg(k)/10.**n) + 10*(n-nig2) - (n-nig2)
          idx_g = MAX(1, MIN(idx_g, ntb_g))

          lamg = 1./ilamg(k)
          lam_exp = lamg * (cgg(3)*ogg2*ogg1)**bm_g
          N0_exp = ogg1*rg(k)/am_g * lam_exp**cge(1)
          nig = NINT(DLOG10(N0_exp))
          do nn = nig-1, nig+1
             n = nn
             if ( (N0_exp/10.**nn).ge.1.0 .and. &
                  (N0_exp/10.**nn).lt.10.0) goto 148
          enddo
 148      continue
          idx_g1 = INT(N0_exp/10.**n) + 10*(n-nig3) - (n-nig3)
          idx_g1 = MAX(1, MIN(idx_g1, ntb_g1))
         else
          idx_g = 1
          idx_g1 = ntb_g1
         endif

!..Deposition/sublimation prefactor (from Srivastava & Coen 1992).
         otemp = 1./temp(k)
         rvs = rho(k)*qvsi(k)
         rvs_p = rvs*otemp*(lsub*otemp*oRv - 1.)
         rvs_pp = rvs * ( otemp*(lsub*otemp*oRv - 1.) &
                         *otemp*(lsub*otemp*oRv - 1.) &
                         + (-2.*lsub*otemp*otemp*otemp*oRv) &
                         + otemp*otemp)
         gamsc = lsub*diffu(k)/tcond(k) * rvs_p
         alphsc = 0.5*(gamsc/(1.+gamsc))*(gamsc/(1.+gamsc)) &
                    * rvs_pp/rvs_p * rvs/rvs_p
         alphsc = MAX(1.E-9, alphsc)
         xsat = ssati(k)
         if (abs(xsat).lt. 1.E-9) xsat=0.
         t1_subl = 4.*PI*( 1.0 - alphsc*xsat &
                + 2.*alphsc*alphsc*xsat*xsat &
                - 5.*alphsc*alphsc*alphsc*xsat*xsat*xsat ) &
                / (1.+gamsc)

!..Snow collecting cloud water.  In CE, assume Dc<<Ds and vtc=~0.
         if (L_qc(k) .and. mvd_c(k).gt. D0c) then
          xDs = 0.0
          if (L_qs(k)) xDs = smoc(k) / smob(k)
          if (xDs .gt. D0s) then
           idx = 1 + INT(nbs*DLOG(xDs/Ds(1))/DLOG(Ds(nbs)/Ds(1)))
           idx = MIN(idx, nbs)
           Ef_sw = t_Efsw(idx, INT(mvd_c(k)*1.E6))
           prs_scw(k) = rhof(k)*t1_qs_qc*Ef_sw*rc(k)*smoe(k)
          endif

!..Graupel collecting cloud water.  In CE, assume Dc<<Dg and vtc=~0.
          if (rg(k).ge. r_g(1) .and. mvd_c(k).gt. D0c) then
           xDg = (bm_g + mu_g + 1.) * ilamg(k)
           vtg = rhof(k)*av_g*cgg(6)*ogg3 * ilamg(k)**bv_g
           stoke_g = mvd_c(k)*mvd_c(k)*vtg*rho_w/(9.*visco(k)*xDg)
           if (xDg.gt. D0g) then
            if (stoke_g.ge.0.4 .and. stoke_g.le.10.) then
             Ef_gw = 0.55*ALOG10(2.51*stoke_g)
            elseif (stoke_g.lt.0.4) then
             Ef_gw = 0.0
            elseif (stoke_g.gt.10) then
             Ef_gw = 0.77
            endif
            prg_gcw(k) = rhof(k)*t1_qg_qc*Ef_gw*rc(k)*N0_g(k) &
                          *ilamg(k)**cge(9)
           endif
          endif
         endif

!..Rain collecting snow.  Cannot assume Wisner (1972) approximation
!.. or Mizuno (1990) approach so we solve the CE explicitly and store
!.. results in lookup table.
         if (rr(k).ge. r_r(1)) then
          if (rs(k).ge. r_s(1)) then
           if (temp(k).lt.T_0) then
            prr_rcs(k) = -(tmr_racs2(idx_s,idx_t,idx_r1,idx_r) &
                           + tcr_sacr2(idx_s,idx_t,idx_r1,idx_r) &
                           + tmr_racs1(idx_s,idx_t,idx_r1,idx_r) &
                           + tcr_sacr1(idx_s,idx_t,idx_r1,idx_r))
            prs_rcs(k) = tmr_racs2(idx_s,idx_t,idx_r1,idx_r) &
                         + tcr_sacr2(idx_s,idx_t,idx_r1,idx_r) &
                         - tcs_racs1(idx_s,idx_t,idx_r1,idx_r) &
                         - tms_sacr1(idx_s,idx_t,idx_r1,idx_r)
            prg_rcs(k) = tmr_racs1(idx_s,idx_t,idx_r1,idx_r) &
                         + tcr_sacr1(idx_s,idx_t,idx_r1,idx_r) &
                         + tcs_racs1(idx_s,idx_t,idx_r1,idx_r) &
                         + tms_sacr1(idx_s,idx_t,idx_r1,idx_r)
            prr_rcs(k) = MAX(DBLE(-rr(k)*odts), prr_rcs(k))
            prs_rcs(k) = MAX(DBLE(-rs(k)*odts), prs_rcs(k))
            prg_rcs(k) = MIN(DBLE((rr(k)+rs(k))*odts), prg_rcs(k))
            pnr_rcs(k) = tnr_racs1(idx_s,idx_t,idx_r1,idx_r)            &   ! RAIN2M
                         + tnr_racs2(idx_s,idx_t,idx_r1,idx_r)          &
                         + tnr_sacr1(idx_s,idx_t,idx_r1,idx_r)          &
                         + tnr_sacr2(idx_s,idx_t,idx_r1,idx_r)
           else
            prs_rcs(k) = -tcs_racs1(idx_s,idx_t,idx_r1,idx_r)           &
                         - tms_sacr1(idx_s,idx_t,idx_r1,idx_r)          &
                         + tmr_racs2(idx_s,idx_t,idx_r1,idx_r)          &
                         + tcr_sacr2(idx_s,idx_t,idx_r1,idx_r)
            prs_rcs(k) = MAX(DBLE(-rs(k)*odts), prs_rcs(k))
            prr_rcs(k) = -prs_rcs(k)
            pnr_rcs(k) = tnr_racs2(idx_s,idx_t,idx_r1,idx_r)            &   ! RAIN2M
                         + tnr_sacr2(idx_s,idx_t,idx_r1,idx_r)
           endif
           pnr_rcs(k) = MIN(DBLE(nr(k)*odts), pnr_rcs(k))
          endif

!..Rain collecting graupel.  Cannot assume Wisner (1972) approximation
!.. or Mizuno (1990) approach so we solve the CE explicitly and store
!.. results in lookup table.
          if (rg(k).ge. r_g(1)) then
           if (temp(k).lt.T_0) then
            prg_rcg(k) = tmr_racg(idx_g1,idx_g,idx_r1,idx_r) &
                         + tcr_gacr(idx_g1,idx_g,idx_r1,idx_r)
            prg_rcg(k) = MIN(DBLE(rr(k)*odts), prg_rcg(k))
            prr_rcg(k) = -prg_rcg(k)
            pnr_rcg(k) = tnr_racg(idx_g1,idx_g,idx_r1,idx_r)            &   ! RAIN2M
                         + tnr_gacr(idx_g1,idx_g,idx_r1,idx_r)
            pnr_rcg(k) = MIN(DBLE(nr(k)*odts), pnr_rcg(k))
           else
            prr_rcg(k) = tcg_racg(idx_g1,idx_g,idx_r1,idx_r)
            prr_rcg(k) = MIN(DBLE(rg(k)*odts), prr_rcg(k))
            prg_rcg(k) = -prr_rcg(k)
           endif
          endif
         endif

!+---+-----------------------------------------------------------------+
!..Next IF block handles only those processes below 0C.
!+---+-----------------------------------------------------------------+

         if (temp(k).lt.T_0) then

          vts_boost(k) = 1.0
          rate_max = (qv(k)-qvsi(k))*rho(k)*odts*0.999

!..Freezing of water drops into graupel/cloud ice (Bigg 1953).
          if (rr(k).gt. r_r(1)) then
           prg_rfz(k) = tpg_qrfz(idx_r,idx_r1,idx_tc)*odts
           pri_rfz(k) = tpi_qrfz(idx_r,idx_r1,idx_tc)*odts
           pni_rfz(k) = tni_qrfz(idx_r,idx_r1,idx_tc)*odts
           pnr_rfz(k) = tnr_qrfz(idx_r,idx_r1,idx_tc)*odts                 ! RAIN2M
           pnr_rfz(k) = MIN(DBLE(nr(k)*odts), pnr_rfz(k))
          elseif (rr(k).gt. R1 .and. temp(k).lt.HGFR) then
           pri_rfz(k) = rr(k)*odts
           pnr_rfz(k) = nr(k)*odts                                         ! RAIN2M
           pni_rfz(k) = pnr_rfz(k)
          endif
          if (rc(k).gt. r_c(1)) then
           pri_wfz(k) = tpi_qcfz(idx_c,idx_tc)*odts
           pri_wfz(k) = MIN(DBLE(rc(k)*odts), pri_wfz(k))
           pni_wfz(k) = tni_qcfz(idx_c,idx_tc)*odts
           pni_wfz(k) = MIN(DBLE(Nt_c*odts), pri_wfz(k)/(2.*xm0i), &
                                pni_wfz(k))
          endif

!..Nucleate ice from deposition & condensation freezing (Cooper 1986)
!.. but only if water sat and T<-12C or 25%+ ice supersaturated.
          if ( (ssati(k).ge. 0.25) .or. (ssatw(k).gt. eps &
                                .and. temp(k).lt.261.15) ) then
           xnc = MIN(250.E3, TNO*EXP(ATO*(T_0-temp(k))))
           xni = ni(k) + (pni_rfz(k)+pni_wfz(k))*dtsave
           pni_inu(k) = 0.5*(xnc-xni + abs(xnc-xni))*odts
           pri_inu(k) = MIN(DBLE(rate_max), xm0i*pni_inu(k))
           pni_inu(k) = pri_inu(k)/xm0i
          endif

!..Deposition/sublimation of cloud ice (Srivastava & Coen 1992).
          if (L_qi(k)) then
           lami = (am_i*cig(2)*oig1*ni(k)/ri(k))**obmi
           ilami = 1./lami
           xDi = MAX(DBLE(D0i), (bm_i + mu_i + 1.) * ilami)
           xmi = am_i*xDi**bm_i
           oxmi = 1./xmi
           pri_ide(k) = C_cube*t1_subl*diffu(k)*ssati(k)*rvs &
                  *oig1*cig(5)*ni(k)*ilami

           if (pri_ide(k) .lt. 0.0) then
            pri_ide(k) = MAX(DBLE(-ri(k)*odts), pri_ide(k), DBLE(rate_max))
            pni_ide(k) = pri_ide(k)*oxmi
            pni_ide(k) = MAX(DBLE(-ni(k)*odts), pni_ide(k))
           else
            pri_ide(k) = MIN(pri_ide(k), DBLE(rate_max))
            prs_ide(k) = (1.0D0-tpi_ide(idx_i,idx_i1))*pri_ide(k)
            pri_ide(k) = tpi_ide(idx_i,idx_i1)*pri_ide(k)
           endif

!..Some cloud ice needs to move into the snow category.  Use lookup
!.. table that resulted from explicit bin representation of distrib.
           if ( (idx_i.eq. ntb_i) .or. (xDi.gt. 5.0*D0s) ) then
            prs_iau(k) = ri(k)*.99*odts
            pni_iau(k) = ni(k)*.95*odts
           elseif (xDi.lt. 0.1*D0s) then
            prs_iau(k) = 0.
            pni_iau(k) = 0.
           else
            prs_iau(k) = tps_iaus(idx_i,idx_i1)*odts
            prs_iau(k) = MIN(DBLE(ri(k)*.99*odts), prs_iau(k))
            pni_iau(k) = tni_iaus(idx_i,idx_i1)*odts
            pni_iau(k) = MIN(DBLE(ni(k)*.95*odts), pni_iau(k))
           endif
          endif

!..Deposition/sublimation of snow/graupel follows Srivastava & Coen
!.. (1992).
          if (L_qs(k)) then
           C_snow = C_sqrd + (tempc+15.)*(C_cube-C_sqrd)/(-30.+15.)
           C_snow = MAX(C_sqrd, MIN(C_snow, C_cube))
           prs_sde(k) = C_snow*t1_subl*diffu(k)*ssati(k)*rvs &
                        * (t1_qs_sd*smo1(k) &
                         + t2_qs_sd*rhof2(k)*vsc2(k)*smof(k))
           if (prs_sde(k).lt. 0.) then
            prs_sde(k) = MAX(DBLE(-rs(k)*odts), prs_sde(k), DBLE(rate_max))
           else
            prs_sde(k) = MIN(prs_sde(k), DBLE(rate_max))
           endif
          endif

          if (L_qg(k) .and. ssati(k).lt. -eps) then
           prg_gde(k) = C_cube*t1_subl*diffu(k)*ssati(k)*rvs &
               * N0_g(k) * (t1_qg_sd*ilamg(k)**cge(10) &
               + t2_qg_sd*vsc2(k)*rhof2(k)*ilamg(k)**cge(11))
           if (prg_gde(k).lt. 0.) then
            prg_gde(k) = MAX(DBLE(-rg(k)*odts), prg_gde(k), DBLE(rate_max))
           else
            prg_gde(k) = MIN(prg_gde(k), DBLE(rate_max))
           endif
          endif

!..Snow collecting cloud ice.  In CE, assume Di<<Ds and vti=~0.
          if (L_qi(k)) then
           lami = (am_i*cig(2)*oig1*ni(k)/ri(k))**obmi
           ilami = 1./lami
           xDi = MAX(DBLE(D0i), (bm_i + mu_i + 1.) * ilami)
           xmi = am_i*xDi**bm_i
           oxmi = 1./xmi
           if (rs(k).ge. r_s(1)) then
            prs_sci(k) = t1_qs_qi*rhof(k)*Ef_si*ri(k)*smoe(k)
            pni_sci(k) = prs_sci(k) * oxmi
           endif

!..Rain collecting cloud ice.  In CE, assume Di<<Dr and vti=~0.
           if (rr(k).ge. r_r(1) .and. mvd_r(k).gt. 4.*xDi) then
            lamr = 1./ilamr(k)
            pri_rci(k) = rhof(k)*t1_qr_qi*Ef_ri*ri(k)*N0_r(k) &
                           *((lamr+fv_r)**(-cre(9)))
            pnr_rci(k) = rhof(k)*t1_qr_qi*Ef_ri*ni(k)*N0_r(k)           &   ! RAIN2M
                           *((lamr+fv_r)**(-cre(9)))
            pni_rci(k) = pri_rci(k) * oxmi
            prr_rci(k) = rhof(k)*t2_qr_qi*Ef_ri*ni(k)*N0_r(k) &
                           *((lamr+fv_r)**(-cre(8)))
            prr_rci(k) = MIN(DBLE(rr(k)*odts), prr_rci(k))
            prg_rci(k) = pri_rci(k) + prr_rci(k)
           endif
          endif

!..Ice multiplication from rime-splinters (Hallet & Mossop 1974).
          if (prg_gcw(k).gt. eps .and. tempc.gt.-8.0) then
           tf = 0.
           if (tempc.ge.-5.0 .and. tempc.lt.-3.0) then
            tf = 0.5*(-3.0 - tempc)
           elseif (tempc.gt.-8.0 .and. tempc.lt.-5.0) then
            tf = 0.33333333*(8.0 + tempc)
           endif
           pni_ihm(k) = 3.5E8*tf*prg_gcw(k)
           pri_ihm(k) = xm0i*pni_ihm(k)
           prs_ihm(k) = prs_scw(k)/(prs_scw(k)+prg_gcw(k)) &
                          * pri_ihm(k)
           prg_ihm(k) = prg_gcw(k)/(prs_scw(k)+prg_gcw(k)) &
                          * pri_ihm(k)
          endif

!..A portion of rimed snow converts to graupel but some remains snow.
!.. Interp from 5 to 75% as riming factor increases from 5.0 to 30.0
!.. 0.028 came from (.75-.05)/(30.-5.).  This remains ad-hoc and should
!.. be revisited.
          if (prs_scw(k).gt.5.0*prs_sde(k) .and. &
                         prs_sde(k).gt.eps) then
           r_frac = MIN(30.0D0, prs_scw(k)/prs_sde(k))
           g_frac = MIN(0.75, 0.05 + (r_frac-5.)*.028)
           vts_boost(k) = MIN(1.5, 1.1 + (r_frac-5.)*.016)
           prg_scw(k) = g_frac*prs_scw(k)
           prs_scw(k) = (1. - g_frac)*prs_scw(k)
          endif

         else

!..Melt snow and graupel and enhance from collisions with liquid.
!.. We also need to sublimate snow and graupel if subsaturated.
          if (L_qs(k)) then
           prr_sml(k) = tempc*tcond(k)*(t1_qs_me*smo1(k) &
                      + t2_qs_me*rhof2(k)*vsc2(k)*smof(k))
           prr_sml(k) = prr_sml(k) + 4218.*olfus*tempc &
                                   * (prr_rcs(k)+prs_scw(k))
           prr_sml(k) = MIN(DBLE(rs(k)*odts), prr_sml(k))
           pnr_sml(k) = smo0(k)/rs(k)*prr_sml(k) * 10.0**(-0.50*tempc)      ! RAIN2M
           pnr_sml(k) = MIN(DBLE(smo0(k)*odts), pnr_sml(k))
           if (tempc.gt.3.5 .or. rs(k).lt.0.005E-3) pnr_sml(k)=0.0

           if (ssati(k).lt. 0.) then
            prs_sde(k) = C_cube*t1_subl*diffu(k)*ssati(k)*rvs &
                         * (t1_qs_sd*smo1(k) &
                          + t2_qs_sd*rhof2(k)*vsc2(k)*smof(k))
            prs_sde(k) = MAX(DBLE(-rs(k)*odts), prs_sde(k))
           endif
          endif

          if (L_qg(k)) then
           prr_gml(k) = tempc*N0_g(k)*tcond(k) &
                    *(t1_qg_me*ilamg(k)**cge(10) &
                    + t2_qg_me*rhof2(k)*vsc2(k)*ilamg(k)**cge(11))
           prr_gml(k) = prr_gml(k) + 4218.*olfus*tempc &
                                   * (prr_rcg(k)+prg_gcw(k))
           prr_gml(k) = MIN(DBLE(rg(k)*odts), prr_gml(k))
           pnr_gml(k) = (N0_g(k) / (cgg(1)*am_g*N0_g(k)/rg(k))**oge1)   &   ! RAIN2M
                      / rg(k) * prr_gml(k) * 10.0**(-0.35*tempc)
           if (rg(k).lt.0.005E-3) pnr_gml(k)=0.0

           if (ssati(k).lt. 0.) then
            prg_gde(k) = C_cube*t1_subl*diffu(k)*ssati(k)*rvs &
                * N0_g(k) * (t1_qg_sd*ilamg(k)**cge(10) &
                + t2_qg_sd*vsc2(k)*rhof2(k)*ilamg(k)**cge(11))
            prg_gde(k) = MAX(DBLE(-rg(k)*odts), prg_gde(k))
           endif
          endif

!.. This change will be required if users run adaptive time step that
!.. results in delta-t that is generally too long to allow cloud water
!.. collection by snow/graupel above melting temperature.
!.. Credit to Bjorn-Egil Nygaard for discovering.
          if (dt .gt. 120.) then
             prr_rcw(k)=prr_rcw(k)+prs_scw(k)+prg_gcw(k)
             prs_scw(k)=0.
             prg_gcw(k)=0.
          endif

         endif

      enddo
      endif

!+---+-----------------------------------------------------------------+
!..Ensure we do not deplete more hydrometeor species than exists.
!+---+-----------------------------------------------------------------+
      do k = kts, kte

!..If ice supersaturated, ensure sum of depos growth terms does not
!.. deplete more vapor than possibly exists.  If subsaturated, limit
!.. sum of sublimation terms such that vapor does not reproduce ice
!.. supersat again.
         sump = pri_inu(k) + pri_ide(k) + prs_ide(k) &
              + prs_sde(k) + prg_gde(k)
         rate_max = (qv(k)-qvsi(k))*odts*0.999
         if ( (sump.gt. eps .and. sump.gt. rate_max) .or. &
              (sump.lt. -eps .and. sump.lt. rate_max) ) then
          ratio = rate_max/sump
          pri_inu(k) = pri_inu(k) * ratio
          pri_ide(k) = pri_ide(k) * ratio
          pni_ide(k) = pni_ide(k) * ratio
          prs_ide(k) = prs_ide(k) * ratio
          prs_sde(k) = prs_sde(k) * ratio
          prg_gde(k) = prg_gde(k) * ratio
         endif

!..Cloud water conservation.
         sump = -prr_wau(k) - pri_wfz(k) - prr_rcw(k) &
                - prs_scw(k) - prg_scw(k) - prg_gcw(k)
         rate_max = -rc(k)*odts
         if (sump.lt. rate_max .and. L_qc(k)) then
          ratio = rate_max/sump
          prr_wau(k) = prr_wau(k) * ratio
          pri_wfz(k) = pri_wfz(k) * ratio
          prr_rcw(k) = prr_rcw(k) * ratio
          prs_scw(k) = prs_scw(k) * ratio
          prg_scw(k) = prg_scw(k) * ratio
          prg_gcw(k) = prg_gcw(k) * ratio
         endif

!..Cloud ice conservation.
         sump = pri_ide(k) - prs_iau(k) - prs_sci(k) &
                - pri_rci(k)
         rate_max = -ri(k)*odts
         if (sump.lt. rate_max .and. L_qi(k)) then
          ratio = rate_max/sump
          pri_ide(k) = pri_ide(k) * ratio
          prs_iau(k) = prs_iau(k) * ratio
          prs_sci(k) = prs_sci(k) * ratio
          pri_rci(k) = pri_rci(k) * ratio
         endif

!..Rain conservation.
         sump = -prg_rfz(k) - pri_rfz(k) - prr_rci(k) &
                + prr_rcs(k) + prr_rcg(k)
         rate_max = -rr(k)*odts
         if (sump.lt. rate_max .and. L_qr(k)) then
          ratio = rate_max/sump
          prg_rfz(k) = prg_rfz(k) * ratio
          pri_rfz(k) = pri_rfz(k) * ratio
          prr_rci(k) = prr_rci(k) * ratio
          prr_rcs(k) = prr_rcs(k) * ratio
          prr_rcg(k) = prr_rcg(k) * ratio
         endif

!..Snow conservation.
         sump = prs_sde(k) - prs_ihm(k) - prr_sml(k) &
                + prs_rcs(k)
         rate_max = -rs(k)*odts
         if (sump.lt. rate_max .and. L_qs(k)) then
          ratio = rate_max/sump
          prs_sde(k) = prs_sde(k) * ratio
          prs_ihm(k) = prs_ihm(k) * ratio
          prr_sml(k) = prr_sml(k) * ratio
          prs_rcs(k) = prs_rcs(k) * ratio
         endif

!..Graupel conservation.
         sump = prg_gde(k) - prg_ihm(k) - prr_gml(k) &
              + prg_rcg(k)
         rate_max = -rg(k)*odts
         if (sump.lt. rate_max .and. L_qg(k)) then
          ratio = rate_max/sump
          prg_gde(k) = prg_gde(k) * ratio
          prg_ihm(k) = prg_ihm(k) * ratio
          prr_gml(k) = prr_gml(k) * ratio
          prg_rcg(k) = prg_rcg(k) * ratio
         endif

!..Re-enforce proper mass conservation for subsequent elements in case
!.. any of the above terms were altered.  Thanks P. Blossey. 2009Sep28
         pri_ihm(k) = prs_ihm(k) + prg_ihm(k)
         ratio = MIN( ABS(prr_rcg(k)), ABS(prg_rcg(k)) )
         prr_rcg(k) = ratio * SIGN(1.0, SNGL(prr_rcg(k)))
         prg_rcg(k) = -prr_rcg(k)
         if (temp(k).gt.T_0) then
            ratio = MIN( ABS(prr_rcs(k)), ABS(prs_rcs(k)) )
            prr_rcs(k) = ratio * SIGN(1.0, SNGL(prr_rcs(k)))
            prs_rcs(k) = -prr_rcs(k)
         endif

      enddo

!+---+-----------------------------------------------------------------+
!..Calculate tendencies of all species but constrain the number of ice
!.. to reasonable values.
!+---+-----------------------------------------------------------------+
      do k = kts, kte
         orho = 1./rho(k)
         lfus2 = lsub - lvap(k)

!..Water vapor tendency
         qvten(k) = qvten(k) + (-pri_inu(k) - pri_ide(k) &
                      - prs_ide(k) - prs_sde(k) - prg_gde(k)) &
                      * orho

!..Cloud water tendency
         qcten(k) = qcten(k) + (-prr_wau(k) - pri_wfz(k) &
                      - prr_rcw(k) - prs_scw(k) - prg_scw(k) &
                      - prg_gcw(k)) &
                      * orho

!..Cloud ice mixing ratio tendency
         qiten(k) = qiten(k) + (pri_inu(k) + pri_ihm(k) &
                      + pri_wfz(k) + pri_rfz(k) + pri_ide(k) &
                      - prs_iau(k) - prs_sci(k) - pri_rci(k)) &
                      * orho

!..Cloud ice number tendency.
         niten(k) = niten(k) + (pni_inu(k) + pni_ihm(k) &
                      + pni_wfz(k) + pni_rfz(k) + pni_ide(k) &
                      - pni_iau(k) - pni_sci(k) - pni_rci(k)) &
                      * orho

!..Cloud ice mass/number balance; keep mass-wt mean size between
!.. 20 and 300 microns.  Also no more than 500 xtals per liter.
         xri=MAX(R1,(qi1d(k) + qiten(k)*dtsave)*rho(k))
         xni=MAX(R2,(ni1d(k) + niten(k)*dtsave)*rho(k))
         if (xri.gt. R1) then
           lami = (am_i*cig(2)*oig1*xni/xri)**obmi
           ilami = 1./lami
           xDi = (bm_i + mu_i + 1.) * ilami
           if (xDi.lt. 20.E-6) then
            lami = cie(2)/20.E-6
            xni = MIN(500.D3, cig(1)*oig2*xri/am_i*lami**bm_i)
            niten(k) = (xni-ni1d(k)*rho(k))*odts*orho
           elseif (xDi.gt. 300.E-6) then
            lami = cie(2)/300.E-6
            xni = cig(1)*oig2*xri/am_i*lami**bm_i
            niten(k) = (xni-ni1d(k)*rho(k))*odts*orho
           endif
         else
          niten(k) = -ni1d(k)*odts
         endif
         xni=MAX(0.,(ni1d(k) + niten(k)*dtsave)*rho(k))
         if (xni.gt.500.E3) &
                niten(k) = (500.E3-ni1d(k)*rho(k))*odts*orho

!..Rain tendency
         qrten(k) = qrten(k) + (prr_wau(k) + prr_rcw(k) &
                      + prr_sml(k) + prr_gml(k) + prr_rcs(k) &
                      + prr_rcg(k) - prg_rfz(k) &
                      - pri_rfz(k) - prr_rci(k)) &
                      * orho

!..Rain number tendency
         nrten(k) = nrten(k) + (pnr_wau(k) + pnr_sml(k) + pnr_gml(k)    &
                      - (pnr_rfz(k) + pnr_rcr(k) + pnr_rcg(k)           &
                      + pnr_rcs(k) + pnr_rci(k)) )                      &
                      * orho

!..Rain mass/number balance; keep median volume diameter between
!.. 37 microns (D0r*0.75) and 2.5 mm.
         xrr=MAX(R1,(qr1d(k) + qrten(k)*dtsave)*rho(k))
         xnr=MAX(R2,(nr1d(k) + nrten(k)*dtsave)*rho(k))
         if (xrr.gt. R1) then
           lamr = (am_r*crg(3)*org2*xnr/xrr)**obmr
           mvd_r(k) = (3.0 + mu_r + 0.672) / lamr
           if (mvd_r(k) .gt. 2.5E-3) then
              mvd_r(k) = 2.5E-3
              lamr = (3.0 + mu_r + 0.672) / mvd_r(k)
              xnr = crg(2)*org3*xrr*lamr**bm_r / am_r
              nrten(k) = (xnr-nr1d(k)*rho(k))*odts*orho
           elseif (mvd_r(k) .lt. D0r*0.75) then
              mvd_r(k) = D0r*0.75
              lamr = (3.0 + mu_r + 0.672) / mvd_r(k)
              xnr = crg(2)*org3*xrr*lamr**bm_r / am_r
              nrten(k) = (xnr-nr1d(k)*rho(k))*odts*orho
           endif
         else
           qrten(k) = -qr1d(k)*odts
           nrten(k) = -nr1d(k)*odts
         endif

!..Snow tendency
         qsten(k) = qsten(k) + (prs_iau(k) + prs_sde(k) &
                      + prs_sci(k) + prs_scw(k) + prs_rcs(k) &
                      + prs_ide(k) - prs_ihm(k) - prr_sml(k)) &
                      * orho

!..Graupel tendency
         qgten(k) = qgten(k) + (prg_scw(k) + prg_rfz(k) &
                      + prg_gde(k) + prg_rcg(k) + prg_gcw(k) &
                      + prg_rci(k) + prg_rcs(k) - prg_ihm(k) &
                      - prr_gml(k)) &
                      * orho

!..Temperature tendency
         if (temp(k).lt.T_0) then
          tten(k) = tten(k) &
                    + ( lsub*ocp(k)*(pri_inu(k) + pri_ide(k) &
                                     + prs_ide(k) + prs_sde(k) &
                                     + prg_gde(k)) &
                     + lfus2*ocp(k)*(pri_wfz(k) + pri_rfz(k) &
                                     + prg_rfz(k) + prs_scw(k) &
                                     + prg_scw(k) + prg_gcw(k) &
                                     + prg_rcs(k) + prs_rcs(k) &
                                     + prr_rci(k) + prg_rcg(k)) &
                       )*orho * (1-IFDRY)
         else
          tten(k) = tten(k) &
                    + ( lfus*ocp(k)*(-prr_sml(k) - prr_gml(k) &
                                     - prr_rcg(k) - prr_rcs(k)) &
                      + lsub*ocp(k)*(prs_sde(k) + prg_gde(k)) &
                       )*orho * (1-IFDRY)
         endif

      enddo

!+---+-----------------------------------------------------------------+
!..Update variables for TAU+1 before condensation & sedimention.
!+---+-----------------------------------------------------------------+
      do k = kts, kte
         temp(k) = t1d(k) + DT*tten(k)
         otemp = 1./temp(k)
         tempc = temp(k) - 273.15
         qv(k) = MAX(1.E-10, qv1d(k) + DT*qvten(k))
         rho(k) = 0.622*pres(k)/(R*temp(k)*(qv(k)+0.622))
         rhof(k) = SQRT(RHO_NOT/rho(k))
         rhof2(k) = SQRT(rhof(k))
         qvs(k) = rslf(pres(k), temp(k))
         ssatw(k) = qv(k)/qvs(k) - 1.
         if (abs(ssatw(k)).lt. eps) ssatw(k) = 0.0
         diffu(k) = 2.11E-5*(temp(k)/273.15)**1.94 * (101325./pres(k))
         if (tempc .ge. 0.0) then
            visco(k) = (1.718+0.0049*tempc)*1.0E-5
         else
            visco(k) = (1.718+0.0049*tempc-1.2E-5*tempc*tempc)*1.0E-5
         endif
         vsc2(k) = SQRT(rho(k)/visco(k))
         lvap(k) = lvap0 + (2106.0 - 4218.0)*tempc
         tcond(k) = (5.69 + 0.0168*tempc)*1.0E-5 * 418.936
         ocp(k) = 1./(Cp*(1.+0.887*qv(k)))
         lvt2(k)=lvap(k)*lvap(k)*ocp(k)*oRv*otemp*otemp

         if ((qc1d(k) + qcten(k)*DT) .gt. R1) then
            rc(k) = (qc1d(k) + qcten(k)*DT)*rho(k)
            L_qc(k) = .true.
         else
            rc(k) = R1
            L_qc(k) = .false.
         endif

         if ((qi1d(k) + qiten(k)*DT) .gt. R1) then
            ri(k) = (qi1d(k) + qiten(k)*DT)*rho(k)
            ni(k) = MAX(R2, (ni1d(k) + niten(k)*DT)*rho(k))
            L_qi(k) = .true. 
         else
            ri(k) = R1
            ni(k) = R2
            L_qi(k) = .false.
         endif

         if ((qr1d(k) + qrten(k)*DT) .gt. R1) then
            rr(k) = (qr1d(k) + qrten(k)*DT)*rho(k)
            nr(k) = MAX(R2, (nr1d(k) + nrten(k)*DT)*rho(k))
            L_qr(k) = .true.
         else
            rr(k) = R1
            nr(k) = R2
            L_qr(k) = .false.
         endif
               
         if ((qs1d(k) + qsten(k)*DT) .gt. R1) then
            rs(k) = (qs1d(k) + qsten(k)*DT)*rho(k)
            L_qs(k) = .true.
         else
            rs(k) = R1
            L_qs(k) = .false.
         endif

         if ((qg1d(k) + qgten(k)*DT) .gt. R1) then
            rg(k) = (qg1d(k) + qgten(k)*DT)*rho(k)
            L_qg(k) = .true.
         else
            rg(k) = R1
            L_qg(k) = .false.
         endif
      enddo

!+---+-----------------------------------------------------------------+
!..With tendency-updated mixing ratios, recalculate snow moments and
!.. intercepts/slopes of graupel and rain.
!+---+-----------------------------------------------------------------+
      if (.not. iiwarm) then
      do k = kts, kte
         if (.not. L_qs(k)) CYCLE
         tc0 = MIN(-0.1, temp(k)-273.15)
         smob(k) = rs(k)*oams

!..All other moments based on reference, 2nd moment.  If bm_s.ne.2,
!.. then we must compute actual 2nd moment and use as reference.
         if (bm_s.gt.(2.0-1.e-3) .and. bm_s.lt.(2.0+1.e-3)) then
            smo2(k) = smob(k)
         else
            loga_ = sa(1) + sa(2)*tc0 + sa(3)*bm_s &
               + sa(4)*tc0*bm_s + sa(5)*tc0*tc0 &
               + sa(6)*bm_s*bm_s + sa(7)*tc0*tc0*bm_s &
               + sa(8)*tc0*bm_s*bm_s + sa(9)*tc0*tc0*tc0 &
               + sa(10)*bm_s*bm_s*bm_s
            a_ = 10.0**loga_
            b_ = sb(1) + sb(2)*tc0 + sb(3)*bm_s &
               + sb(4)*tc0*bm_s + sb(5)*tc0*tc0 &
               + sb(6)*bm_s*bm_s + sb(7)*tc0*tc0*bm_s &
               + sb(8)*tc0*bm_s*bm_s + sb(9)*tc0*tc0*tc0 &
               + sb(10)*bm_s*bm_s*bm_s
            smo2(k) = (smob(k)/a_)**(1./b_)
         endif

!..Calculate bm_s+1 (th) moment.  Useful for diameter calcs.
         loga_ = sa(1) + sa(2)*tc0 + sa(3)*cse(1) &
               + sa(4)*tc0*cse(1) + sa(5)*tc0*tc0 &
               + sa(6)*cse(1)*cse(1) + sa(7)*tc0*tc0*cse(1) &
               + sa(8)*tc0*cse(1)*cse(1) + sa(9)*tc0*tc0*tc0 &
               + sa(10)*cse(1)*cse(1)*cse(1)
         a_ = 10.0**loga_
         b_ = sb(1)+ sb(2)*tc0 + sb(3)*cse(1) + sb(4)*tc0*cse(1) &
              + sb(5)*tc0*tc0 + sb(6)*cse(1)*cse(1) &
              + sb(7)*tc0*tc0*cse(1) + sb(8)*tc0*cse(1)*cse(1) &
              + sb(9)*tc0*tc0*tc0 + sb(10)*cse(1)*cse(1)*cse(1)
         smoc(k) = a_ * smo2(k)**b_

!..Calculate bm_s+bv_s (th) moment.  Useful for sedimentation.
         loga_ = sa(1) + sa(2)*tc0 + sa(3)*cse(14) &
               + sa(4)*tc0*cse(14) + sa(5)*tc0*tc0 &
               + sa(6)*cse(14)*cse(14) + sa(7)*tc0*tc0*cse(14) &
               + sa(8)*tc0*cse(14)*cse(14) + sa(9)*tc0*tc0*tc0 &
               + sa(10)*cse(14)*cse(14)*cse(14)
         a_ = 10.0**loga_
         b_ = sb(1)+ sb(2)*tc0 + sb(3)*cse(14) + sb(4)*tc0*cse(14) &
              + sb(5)*tc0*tc0 + sb(6)*cse(14)*cse(14) &
              + sb(7)*tc0*tc0*cse(14) + sb(8)*tc0*cse(14)*cse(14) &
              + sb(9)*tc0*tc0*tc0 + sb(10)*cse(14)*cse(14)*cse(14)
         smod(k) = a_ * smo2(k)**b_
      enddo

!+---+-----------------------------------------------------------------+
!..Calculate y-intercept, slope values for graupel.
!+---+-----------------------------------------------------------------+
      N0_min = gonv_max
      do k = kte, kts, -1
         if (temp(k).lt.T_0 .and. (rc(k)+rr(k)).gt.1.E-5) then
            xslw1 = 5. + alog10(max(1.E-5, min(1.E-2, (rc(k)+rr(k)))))
         else
            xslw1 = 0.
         endif
         ygra1 = 5. + alog10(max(1.E-5, min(1.E-2, rg(k))))
         zans1 = 3.324 + (3./(5.*xslw1*ygra1/(5.*xslw1+1.+0.25*ygra1)+1.+0.25*ygra1))
         N0_exp = 10.**(zans1)
         N0_exp = MAX(DBLE(gonv_min), MIN(N0_exp, DBLE(gonv_max)))
         N0_min = MIN(N0_exp, N0_min)
         N0_exp = N0_min
         lam_exp = (N0_exp*am_g*cgg(1)/rg(k))**oge1
         lamg = lam_exp * (cgg(3)*ogg2*ogg1)**obmg
         ilamg(k) = 1./lamg
         N0_g(k) = N0_exp/(cgg(2)*lam_exp) * lamg**cge(2)
      enddo

      endif

!+---+-----------------------------------------------------------------+
!..Calculate y-intercept, slope values for rain.
!+---+-----------------------------------------------------------------+
      do k = kte, kts, -1
         lamr = (am_r*crg(3)*org2*nr(k)/rr(k))**obmr
         ilamr(k) = 1./lamr
         mvd_r(k) = (3.0 + mu_r + 0.672) / lamr
         N0_r(k) = nr(k)*org2*lamr**cre(2)
      enddo

!+---+-----------------------------------------------------------------+
!..Cloud water condensation and evaporation.  Newly formulated using
!.. Newton-Raphson iterations (3 should suffice) as provided by B. Hall.
!+---+-----------------------------------------------------------------+
      do k = kts, kte
         if ( (ssatw(k).gt. eps) .or. (ssatw(k).lt. -eps .and. &
                   L_qc(k)) ) then
          clap = (qv(k)-qvs(k))/(1. + lvt2(k)*qvs(k))
          do n = 1, 3
             fcd = qvs(k)* EXP(lvt2(k)*clap) - qv(k) + clap
             dfcd = qvs(k)*lvt2(k)* EXP(lvt2(k)*clap) + 1.
             clap = clap - fcd/dfcd
          enddo
          xrc = rc(k) + clap
          if (xrc.gt. 0.0) then
             prw_vcd(k) = clap*odt
          else
             prw_vcd(k) = -rc(k)/rho(k)*odt
          endif

          qcten(k) = qcten(k) + prw_vcd(k)
          qvten(k) = qvten(k) - prw_vcd(k)
          tten(k) = tten(k) + lvap(k)*ocp(k)*prw_vcd(k)*(1-IFDRY)
          rc(k) = MAX(R1, (qc1d(k) + DT*qcten(k))*rho(k))
          qv(k) = MAX(1.E-10, qv1d(k) + DT*qvten(k))
          temp(k) = t1d(k) + DT*tten(k)
          rho(k) = 0.622*pres(k)/(R*temp(k)*(qv(k)+0.622))
          qvs(k) = rslf(pres(k), temp(k))
          ssatw(k) = qv(k)/qvs(k) - 1.
         endif
      enddo

!+---+-----------------------------------------------------------------+
!.. If still subsaturated, allow rain to evaporate, following
!.. Srivastava & Coen (1992).
!+---+-----------------------------------------------------------------+
      do k = kts, kte
         if ( (ssatw(k).lt. -eps) .and. L_qr(k) &
                     .and. (.not.(prw_vcd(k).gt. 0.)) ) then
          tempc = temp(k) - 273.15
          otemp = 1./temp(k)
          rhof(k) = SQRT(RHO_NOT/rho(k))
          rhof2(k) = SQRT(rhof(k))
          diffu(k) = 2.11E-5*(temp(k)/273.15)**1.94 * (101325./pres(k))
          if (tempc .ge. 0.0) then
             visco(k) = (1.718+0.0049*tempc)*1.0E-5
          else
             visco(k) = (1.718+0.0049*tempc-1.2E-5*tempc*tempc)*1.0E-5
          endif
          vsc2(k) = SQRT(rho(k)/visco(k))
          lvap(k) = lvap0 + (2106.0 - 4218.0)*tempc
          tcond(k) = (5.69 + 0.0168*tempc)*1.0E-5 * 418.936
          ocp(k) = 1./(Cp*(1.+0.887*qv(k)))

          rvs = rho(k)*qvs(k)
          rvs_p = rvs*otemp*(lvap(k)*otemp*oRv - 1.)
          rvs_pp = rvs * ( otemp*(lvap(k)*otemp*oRv - 1.) &
                          *otemp*(lvap(k)*otemp*oRv - 1.) &
                          + (-2.*lvap(k)*otemp*otemp*otemp*oRv) &
                          + otemp*otemp)
          gamsc = lvap(k)*diffu(k)/tcond(k) * rvs_p
          alphsc = 0.5*(gamsc/(1.+gamsc))*(gamsc/(1.+gamsc)) &
                     * rvs_pp/rvs_p * rvs/rvs_p
          alphsc = MAX(1.E-9, alphsc)
          xsat   = MIN(-1.E-9, ssatw(k))
          t1_evap = 2.*PI*( 1.0 - alphsc*xsat  &
                 + 2.*alphsc*alphsc*xsat*xsat  &
                 - 5.*alphsc*alphsc*alphsc*xsat*xsat*xsat ) &
                 / (1.+gamsc)

          lamr = 1./ilamr(k)
          prv_rev(k) = t1_evap*diffu(k)*(-ssatw(k))*N0_r(k)*rvs &
              * (t1_qr_ev*ilamr(k)**cre(10) &
              + t2_qr_ev*vsc2(k)*rhof2(k)*((lamr+0.5*fv_r)**(-cre(11))))
          rate_max = MIN((rr(k)/rho(k)*odts), (qvs(k)-qv(k))*odts)
          prv_rev(k) = MIN(DBLE(rate_max), prv_rev(k)/rho(k))
          pnr_rev(k) = MIN(DBLE(nr(k)*0.99/rho(k)*odts),                &   ! RAIN2M
                       prv_rev(k) * nr(k)/rr(k))

          qrten(k) = qrten(k) - prv_rev(k)
          qvten(k) = qvten(k) + prv_rev(k)
          nrten(k) = nrten(k) - pnr_rev(k)
          tten(k) = tten(k) - lvap(k)*ocp(k)*prv_rev(k)*(1-IFDRY)

          rr(k) = MAX(R1, (qr1d(k) + DT*qrten(k))*rho(k))
          qv(k) = MAX(1.E-10, qv1d(k) + DT*qvten(k))
          nr(k) = MAX(R2, (nr1d(k) + DT*nrten(k))*rho(k))
          temp(k) = t1d(k) + DT*tten(k)
          rho(k) = 0.622*pres(k)/(R*temp(k)*(qv(k)+0.622))
         endif

      enddo

!+---+-----------------------------------------------------------------+
!..Find max terminal fallspeed (distribution mass-weighted mean
!.. velocity) and use it to determine if we need to split the timestep
!.. (var nstep>1).  Either way, only bother to do sedimentation below
!.. 1st level that contains any sedimenting particles (k=ksed1 on down).
!.. New in v3.0+ is computing separate for rain, ice, snow, and
!.. graupel species thus making code faster with credit to J. Schmidt.
!+---+-----------------------------------------------------------------+
      nstep = 0
      onstep(:) = 1.0
      ksed1(:) = 1
      do k = kte+1, kts, -1
         vtrk(k) = 0.
         vtnrk(k) = 0.
         vtik(k) = 0.
         vtnik(k) = 0.
         vtsk(k) = 0.
         vtgk(k) = 0.
      enddo
      do k = kte, kts, -1
         vtr = 0.
         rhof(k) = SQRT(RHO_NOT/rho(k))

         if (rr(k).gt. R1) then
          lamr = (am_r*crg(3)*org2*nr(k)/rr(k))**obmr
          vtr = rhof(k)*av_r*crg(6)*org3 * lamr**cre(3)                 &
                      *((lamr+fv_r)**(-cre(6)))
          vtrk(k) = vtr
! First below is technically correct:
!         vtr = rhof(k)*av_r*crg(5)*org2 * lamr**cre(2)                 &
!                     *((lamr+fv_r)**(-cre(5)))
! Test: make number fall faster (but still slower than mass)
! Goal: less prominent size sorting
          vtr = rhof(k)*av_r*crg(7)/crg(12) * lamr**cre(12)             &
                      *((lamr+fv_r)**(-cre(7)))
          vtnrk(k) = vtr
         endif

         if (MAX(vtrk(k),vtnrk(k)) .gt. 1.E-3) then
            ksed1(1) = MAX(ksed1(1), k)
            delta_tp = dzq(k)/(MAX(vtrk(k),vtnrk(k)))
            nstep = MAX(nstep, INT(DT/delta_tp + 1.))
         endif
      enddo
      if (ksed1(1) .eq. kte) ksed1(1) = kte-1
      if (nstep .gt. 0) onstep(1) = 1./REAL(nstep)

!+---+-----------------------------------------------------------------+

      if (.not. iiwarm) then

       nstep = 0
       do k = kte, kts, -1
          vti = 0.

          if (ri(k).gt. R1) then
           lami = (am_i*cig(2)*oig1*ni(k)/ri(k))**obmi
           ilami = 1./lami
           vti = rhof(k)*av_i*cig(3)*oig2 * ilami**bv_i
           vtik(k) = vti
! First below is technically correct:
!          vti = rhof(k)*av_i*cig(4)*oig1 * ilami**bv_i
! Goal: less prominent size sorting
           vti = rhof(k)*av_i*cig(6)/cig(7) * ilami**bv_i
           vtnik(k) = vti
          endif

          if (vtik(k) .gt. 1.E-3) then
             ksed1(2) = MAX(ksed1(2), k)
             delta_tp = dzq(k)/vtik(k)
             nstep = MAX(nstep, INT(DT/delta_tp + 1.))
          endif
       enddo
       if (ksed1(2) .eq. kte) ksed1(2) = kte-1
       if (nstep .gt. 0) onstep(2) = 1./REAL(nstep)

!+---+-----------------------------------------------------------------+

       nstep = 0
       do k = kte, kts, -1
          vts = 0.

          if (rs(k).gt. R2) then
           xDs = smoc(k) / smob(k)
           Mrat = 1./xDs
           ils1 = 1./(Mrat*Lam0 + fv_s)
           ils2 = 1./(Mrat*Lam1 + fv_s)
           t1_vts = Kap0*csg(4)*ils1**cse(4)
           t2_vts = Kap1*Mrat**mu_s*csg(10)*ils2**cse(10)
           ils1 = 1./(Mrat*Lam0)
           ils2 = 1./(Mrat*Lam1)
           t3_vts = Kap0*csg(1)*ils1**cse(1)
           t4_vts = Kap1*Mrat**mu_s*csg(7)*ils2**cse(7)
           vts = rhof(k)*av_s * (t1_vts+t2_vts)/(t3_vts+t4_vts)
           if (temp(k).gt. T_0) then
            vtsk(k) = MAX(vts*vts_boost(k), vtrk(k))
           else
            vtsk(k) = vts*vts_boost(k)
           endif
          endif

          if (vtsk(k) .gt. 1.E-3) then
             ksed1(3) = MAX(ksed1(3), k)
             delta_tp = dzq(k)/vtsk(k)
             nstep = MAX(nstep, INT(DT/delta_tp + 1.))
          endif
       enddo
       if (ksed1(3) .eq. kte) ksed1(3) = kte-1
       if (nstep .gt. 0) onstep(3) = 1./REAL(nstep)

!+---+-----------------------------------------------------------------+

       nstep = 0
       do k = kte, kts, -1
          vtg = 0.

          if (rg(k).gt. R2) then
           vtg = rhof(k)*av_g*cgg(6)*ogg3 * ilamg(k)**bv_g
           if (temp(k).gt. T_0) then
            vtgk(k) = MAX(vtg, vtrk(k))
           else
            vtgk(k) = vtg
           endif
          endif

          if (vtgk(k) .gt. 1.E-3) then
             ksed1(4) = MAX(ksed1(4), k)
             delta_tp = dzq(k)/vtgk(k)
             nstep = MAX(nstep, INT(DT/delta_tp + 1.))
          endif
       enddo
       if (ksed1(4) .eq. kte) ksed1(4) = kte-1
       if (nstep .gt. 0) onstep(4) = 1./REAL(nstep)
      endif

!+---+-----------------------------------------------------------------+
!..Sedimentation of mixing ratio is the integral of v(D)*m(D)*N(D)*dD,
!.. whereas neglect m(D) term for number concentration.  Therefore,
!.. cloud ice has proper differential sedimentation.
!.. New in v3.0+ is computing separate for rain, ice, snow, and
!.. graupel species thus making code faster with credit to J. Schmidt.
!+---+-----------------------------------------------------------------+

      nstep = NINT(1./onstep(1))
      do n = 1, nstep
         do k = kte, kts, -1
            sed_r(k) = vtrk(k)*rr(k)
            sed_n(k) = vtnrk(k)*nr(k)
         enddo
         k = kte
         odzq = 1./dzq(k)
         orho = 1./rho(k)
         qrten(k) = qrten(k) - sed_r(k)*odzq*onstep(1)*orho
         nrten(k) = nrten(k) - sed_n(k)*odzq*onstep(1)*orho
         rr(k) = MAX(R1, rr(k) - sed_r(k)*odzq*DT*onstep(1))
         nr(k) = MAX(R2, nr(k) - sed_n(k)*odzq*DT*onstep(1))
         do k = ksed1(1), kts, -1
            odzq = 1./dzq(k)
            orho = 1./rho(k)
            qrten(k) = qrten(k) + (sed_r(k+1)-sed_r(k)) &
                                               *odzq*onstep(1)*orho
            nrten(k) = nrten(k) + (sed_n(k+1)-sed_n(k)) &
                                               *odzq*onstep(1)*orho
            rr(k) = MAX(R1, rr(k) + (sed_r(k+1)-sed_r(k)) &
                                           *odzq*DT*onstep(1))
            nr(k) = MAX(R2, nr(k) + (sed_n(k+1)-sed_n(k)) &
                                           *odzq*DT*onstep(1))
         enddo

         pptrain = pptrain + sed_r(kts)*DT*onstep(1)
      enddo

!+---+-----------------------------------------------------------------+

      nstep = NINT(1./onstep(2))
      do n = 1, nstep
         do k = kte, kts, -1
            sed_i(k) = vtik(k)*ri(k)
            sed_n(k) = vtnik(k)*ni(k)
         enddo
         k = kte
         odzq = 1./dzq(k)
         orho = 1./rho(k)
         qiten(k) = qiten(k) - sed_i(k)*odzq*onstep(2)*orho
         niten(k) = niten(k) - sed_n(k)*odzq*onstep(2)*orho
         ri(k) = MAX(R1, ri(k) - sed_i(k)*odzq*DT*onstep(2))
         ni(k) = MAX(R2, ni(k) - sed_n(k)*odzq*DT*onstep(2))
         do k = ksed1(2), kts, -1
            odzq = 1./dzq(k)
            orho = 1./rho(k)
            qiten(k) = qiten(k) + (sed_i(k+1)-sed_i(k)) &
                                               *odzq*onstep(2)*orho
            niten(k) = niten(k) + (sed_n(k+1)-sed_n(k)) &
                                               *odzq*onstep(2)*orho
            ri(k) = MAX(R1, ri(k) + (sed_i(k+1)-sed_i(k)) &
                                           *odzq*DT*onstep(2))
            ni(k) = MAX(R2, ni(k) + (sed_n(k+1)-sed_n(k)) &
                                           *odzq*DT*onstep(2))
         enddo

         pptice = pptice + sed_i(kts)*DT*onstep(2)
      enddo

!+---+-----------------------------------------------------------------+

      nstep = NINT(1./onstep(3))
      do n = 1, nstep
         do k = kte, kts, -1
            sed_s(k) = vtsk(k)*rs(k)
         enddo
         k = kte
         odzq = 1./dzq(k)
         orho = 1./rho(k)
         qsten(k) = qsten(k) - sed_s(k)*odzq*onstep(3)*orho
         rs(k) = MAX(R1, rs(k) - sed_s(k)*odzq*DT*onstep(3))
         do k = ksed1(3), kts, -1
            odzq = 1./dzq(k)
            orho = 1./rho(k)
            qsten(k) = qsten(k) + (sed_s(k+1)-sed_s(k)) &
                                               *odzq*onstep(3)*orho
            rs(k) = MAX(R1, rs(k) + (sed_s(k+1)-sed_s(k)) &
                                           *odzq*DT*onstep(3))
         enddo

         pptsnow = pptsnow + sed_s(kts)*DT*onstep(3)
      enddo

!+---+-----------------------------------------------------------------+

      nstep = NINT(1./onstep(4))
      do n = 1, nstep
         do k = kte, kts, -1
            sed_g(k) = vtgk(k)*rg(k)
         enddo
         k = kte
         odzq = 1./dzq(k)
         orho = 1./rho(k)
         qgten(k) = qgten(k) - sed_g(k)*odzq*onstep(4)*orho
         rg(k) = MAX(R1, rg(k) - sed_g(k)*odzq*DT*onstep(4))
         do k = ksed1(4), kts, -1
            odzq = 1./dzq(k)
            orho = 1./rho(k)
            qgten(k) = qgten(k) + (sed_g(k+1)-sed_g(k)) &
                                               *odzq*onstep(4)*orho
            rg(k) = MAX(R1, rg(k) + (sed_g(k+1)-sed_g(k)) &
                                           *odzq*DT*onstep(4))
         enddo

         pptgraul = pptgraul + sed_g(kts)*DT*onstep(4)
      enddo

!+---+-----------------------------------------------------------------+
!.. Instantly melt any cloud ice into cloud water if above 0C and
!.. instantly freeze any cloud water found below HGFR.
!+---+-----------------------------------------------------------------+
      if (.not. iiwarm) then
      do k = kts, kte
         xri = MAX(0.0, qi1d(k) + qiten(k)*DT)
         if ( (temp(k).gt. T_0) .and. (xri.gt. 0.0) ) then
          qcten(k) = qcten(k) + xri*odt
          qiten(k) = qiten(k) - xri*odt
          niten(k) = -ni1d(k)*odt
          tten(k) = tten(k) - lfus*ocp(k)*xri*odt*(1-IFDRY)
         endif

         xrc = MAX(0.0, qc1d(k) + qcten(k)*DT)
         if ( (temp(k).lt. HGFR) .and. (xrc.gt. 0.0) ) then
          lfus2 = lsub - lvap(k)
          qiten(k) = qiten(k) + xrc*odt
          niten(k) = niten(k) + xrc/xm0i * odt
          qcten(k) = qcten(k) - xrc*odt
          tten(k) = tten(k) + lfus2*ocp(k)*xrc*odt*(1-IFDRY)
         endif
      enddo
      endif

!+---+-----------------------------------------------------------------+
!.. All tendencies computed, apply and pass back final values to parent.
!+---+-----------------------------------------------------------------+
      do k = kts, kte
         t1d(k)  = t1d(k) + tten(k)*DT
         qv1d(k) = MAX(1.E-10, qv1d(k) + qvten(k)*DT)
         qc1d(k) = qc1d(k) + qcten(k)*DT
         if (qc1d(k) .le. R1) qc1d(k) = 0.0
         qi1d(k) = qi1d(k) + qiten(k)*DT
         ni1d(k) = ni1d(k) + niten(k)*DT
         if (qi1d(k) .le. R1) then
           qi1d(k) = 0.0
           ni1d(k) = 0.0
         else
           if (ni1d(k) .gt. R2) then
            lami = (am_i*cig(2)*oig1*ni1d(k)/qi1d(k))**obmi
            ilami = 1./lami
            xDi = (bm_i + mu_i + 1.) * ilami
            if (xDi.lt. 20.E-6) then
             lami = cie(2)/20.E-6
            elseif (xDi.gt. 300.E-6) then
             lami = cie(2)/300.E-6
            endif
           else
            lami = cie(2)/D0s
           endif
           ni1d(k) = MIN(cig(1)*oig2*qi1d(k)/am_i*lami**bm_i,           &
                         500.D3/rho(k))
         endif
         qr1d(k) = qr1d(k) + qrten(k)*DT
         nr1d(k) = nr1d(k) + nrten(k)*DT
         if (qr1d(k) .le. R1) then
           qr1d(k) = 0.0
           nr1d(k) = 0.0
         else
           if (nr1d(k) .gt. R2) then
            lamr = (am_r*crg(3)*org2*nr1d(k)/qr1d(k))**obmr
            mvd_r(k) = (3.0 + mu_r + 0.672) / lamr
            if (mvd_r(k) .gt. 2.5E-3) then
               mvd_r(k) = 2.5E-3
            elseif (mvd_r(k) .lt. D0r*0.75) then
               mvd_r(k) = D0r*0.75
            endif
           else
            if (qr1d(k) .gt. R2) then
               mvd_r(k) = 2.5E-3
            else
               mvd_r(k) = 2.5E-3 / 3.0**(ALOG10(R2)-ALOG10(qr1d(k)))
            endif
           endif
           lamr = (3.0 + mu_r + 0.672) / mvd_r(k)
           nr1d(k) = crg(2)*org3*qr1d(k)*lamr**bm_r / am_r
         endif
         qs1d(k) = qs1d(k) + qsten(k)*DT
         if (qs1d(k) .le. R1) qs1d(k) = 0.0
         qg1d(k) = qg1d(k) + qgten(k)*DT
         if (qg1d(k) .le. R1) qg1d(k) = 0.0
      enddo

      end subroutine mp_thompson
!+---+-----------------------------------------------------------------+
!ctrlL
!+---+-----------------------------------------------------------------+
!..Creation of the lookup tables and support functions found below here.
!+---+-----------------------------------------------------------------+
!..Rain collecting graupel (and inverse).  Explicit CE integration.
!+---+-----------------------------------------------------------------+

      subroutine qr_acr_qg

      implicit none

!..Local variables
      INTEGER:: i, j, k, m, n, n2
      INTEGER:: km, km_s, km_e
      DOUBLE PRECISION, DIMENSION(nbg):: vg, N_g
      DOUBLE PRECISION, DIMENSION(nbr):: vr, N_r
      DOUBLE PRECISION:: N0_r, N0_g, lam_exp, lamg, lamr
      DOUBLE PRECISION:: massg, massr, dvg, dvr, t1, t2, z1, z2, y1, y2

!+---+

      do n2 = 1, nbr
!        vr(n2) = av_r*Dr(n2)**bv_r * DEXP(-fv_r*Dr(n2))
         vr(n2) = -0.1021 + 4.932E3*Dr(n2) - 0.9551E6*Dr(n2)*Dr(n2)     &
              + 0.07934E9*Dr(n2)*Dr(n2)*Dr(n2)                          &
              - 0.002362E12*Dr(n2)*Dr(n2)*Dr(n2)*Dr(n2)
      enddo
      do n = 1, nbg
         vg(n) = av_g*Dg(n)**bv_g
      enddo

!..Note values returned from wrf_dm_decomp1d are zero-based, add 1 for
!.. fortran indices.  J. Michalakes, 2009Oct30.

#if ( defined( DM_PARALLEL ) && ( ! defined( STUBMPI ) ) )
      CALL wrf_dm_decomp1d ( ntb_r*ntb_r1, km_s, km_e )
#else
      km_s = 0
      km_e = ntb_r*ntb_r1 - 1
#endif

      do km = km_s, km_e
         m = km / ntb_r1 + 1
         k = mod( km , ntb_r1 ) + 1

         lam_exp = (N0r_exp(k)*am_r*crg(1)/r_r(m))**ore1
         lamr = lam_exp * (crg(3)*org2*org1)**obmr
         N0_r = N0r_exp(k)/(crg(2)*lam_exp) * lamr**cre(2)
         do n2 = 1, nbr
            N_r(n2) = N0_r*Dr(n2)**mu_r *DEXP(-lamr*Dr(n2))*dtr(n2)
         enddo

         do j = 1, ntb_g
         do i = 1, ntb_g1
            lam_exp = (N0g_exp(i)*am_g*cgg(1)/r_g(j))**oge1
            lamg = lam_exp * (cgg(3)*ogg2*ogg1)**obmg
            N0_g = N0g_exp(i)/(cgg(2)*lam_exp) * lamg**cge(2)
            do n = 1, nbg
               N_g(n) = N0_g*Dg(n)**mu_g * DEXP(-lamg*Dg(n))*dtg(n)
            enddo

            t1 = 0.0d0
            t2 = 0.0d0
            z1 = 0.0d0
            z2 = 0.0d0
            y1 = 0.0d0
            y2 = 0.0d0
            do n2 = 1, nbr
               massr = am_r * Dr(n2)**bm_r
               do n = 1, nbg
                  massg = am_g * Dg(n)**bm_g

                  dvg = 0.5d0*((vr(n2) - vg(n)) + DABS(vr(n2)-vg(n)))
                  dvr = 0.5d0*((vg(n) - vr(n2)) + DABS(vg(n)-vr(n2)))

                  t1 = t1+ PI*.25*Ef_rg*(Dg(n)+Dr(n2))*(Dg(n)+Dr(n2)) &
                      *dvg*massg * N_g(n)* N_r(n2)
                  z1 = z1+ PI*.25*Ef_rg*(Dg(n)+Dr(n2))*(Dg(n)+Dr(n2)) &
                      *dvg*massr * N_g(n)* N_r(n2)
                  y1 = y1+ PI*.25*Ef_rg*(Dg(n)+Dr(n2))*(Dg(n)+Dr(n2)) &
                      *dvg       * N_g(n)* N_r(n2)

                  t2 = t2+ PI*.25*Ef_rg*(Dg(n)+Dr(n2))*(Dg(n)+Dr(n2)) &
                      *dvr*massr * N_g(n)* N_r(n2)
                  y2 = y2+ PI*.25*Ef_rg*(Dg(n)+Dr(n2))*(Dg(n)+Dr(n2)) &
                      *dvr       * N_g(n)* N_r(n2)
                  z2 = z2+ PI*.25*Ef_rg*(Dg(n)+Dr(n2))*(Dg(n)+Dr(n2)) &
                      *dvr*massg * N_g(n)* N_r(n2)
               enddo
 97            continue
            enddo
            tcg_racg(i,j,k,m) = t1
            tmr_racg(i,j,k,m) = DMIN1(z1, r_r(m)*1.0d0)
            tcr_gacr(i,j,k,m) = t2
            tmg_gacr(i,j,k,m) = z2
            tnr_racg(i,j,k,m) = y1
            tnr_gacr(i,j,k,m) = y2
         enddo
         enddo
      enddo

!..Note wrf_dm_gatherv expects zero-based km_s, km_e (J. Michalakes, 2009Oct30).

#if ( defined( DM_PARALLEL ) && ( ! defined( STUBMPI ) ) )
      CALL wrf_dm_gatherv(tcg_racg, ntb_g*ntb_g1, km_s, km_e, R8SIZE)
      CALL wrf_dm_gatherv(tmr_racg, ntb_g*ntb_g1, km_s, km_e, R8SIZE)
      CALL wrf_dm_gatherv(tcr_gacr, ntb_g*ntb_g1, km_s, km_e, R8SIZE)
      CALL wrf_dm_gatherv(tmg_gacr, ntb_g*ntb_g1, km_s, km_e, R8SIZE)
      CALL wrf_dm_gatherv(tnr_racg, ntb_g*ntb_g1, km_s, km_e, R8SIZE)
      CALL wrf_dm_gatherv(tnr_gacr, ntb_g*ntb_g1, km_s, km_e, R8SIZE)
#endif


      end subroutine qr_acr_qg
!+---+-----------------------------------------------------------------+
!ctrlL
!+---+-----------------------------------------------------------------+
!..Rain collecting snow (and inverse).  Explicit CE integration.
!+---+-----------------------------------------------------------------+

      subroutine qr_acr_qs

      implicit none

!..Local variables
      INTEGER:: i, j, k, m, n, n2
      INTEGER:: km, km_s, km_e
      DOUBLE PRECISION, DIMENSION(nbr):: vr, D1, N_r
      DOUBLE PRECISION, DIMENSION(nbs):: vs, N_s
      DOUBLE PRECISION:: loga_, a_, b_, second, M0, M2, M3, Mrat, oM3
      DOUBLE PRECISION:: N0_r, lam_exp, lamr, slam1, slam2
      DOUBLE PRECISION:: dvs, dvr, masss, massr
      DOUBLE PRECISION:: t1, t2, t3, t4, z1, z2, z3, z4
      DOUBLE PRECISION:: y1, y2, y3, y4

!+---+

      do n2 = 1, nbr
!        vr(n2) = av_r*Dr(n2)**bv_r * DEXP(-fv_r*Dr(n2))
         vr(n2) = -0.1021 + 4.932E3*Dr(n2) - 0.9551E6*Dr(n2)*Dr(n2)     &
              + 0.07934E9*Dr(n2)*Dr(n2)*Dr(n2)                          &
              - 0.002362E12*Dr(n2)*Dr(n2)*Dr(n2)*Dr(n2)
         D1(n2) = (vr(n2)/av_s)**(1./bv_s)
      enddo
      do n = 1, nbs
         vs(n) = 1.5*av_s*Ds(n)**bv_s * DEXP(-fv_s*Ds(n))
      enddo

!..Note values returned from wrf_dm_decomp1d are zero-based, add 1 for
!.. fortran indices.  J. Michalakes, 2009Oct30.

#if ( defined( DM_PARALLEL ) && ( ! defined( STUBMPI ) ) )
      CALL wrf_dm_decomp1d ( ntb_r*ntb_r1, km_s, km_e )
#else
      km_s = 0
      km_e = ntb_r*ntb_r1 - 1
#endif

      do km = km_s, km_e
         m = km / ntb_r1 + 1
         k = mod( km , ntb_r1 ) + 1

         lam_exp = (N0r_exp(k)*am_r*crg(1)/r_r(m))**ore1
         lamr = lam_exp * (crg(3)*org2*org1)**obmr
         N0_r = N0r_exp(k)/(crg(2)*lam_exp) * lamr**cre(2)
         do n2 = 1, nbr
            N_r(n2) = N0_r*Dr(n2)**mu_r * DEXP(-lamr*Dr(n2))*dtr(n2)
         enddo

         do j = 1, ntb_t
            do i = 1, ntb_s

!..From the bm_s moment, compute plus one moment.  If we are not
!.. using bm_s=2, then we must transform to the pure 2nd moment
!.. (variable called "second") and then to the bm_s+1 moment.

               M2 = r_s(i)*oams *1.0d0
               if (bm_s.gt.2.0-1.E-3 .and. bm_s.lt.2.0+1.E-3) then
                  loga_ = sa(1) + sa(2)*Tc(j) + sa(3)*bm_s &
                     + sa(4)*Tc(j)*bm_s + sa(5)*Tc(j)*Tc(j) &
                     + sa(6)*bm_s*bm_s + sa(7)*Tc(j)*Tc(j)*bm_s &
                     + sa(8)*Tc(j)*bm_s*bm_s + sa(9)*Tc(j)*Tc(j)*Tc(j) &
                     + sa(10)*bm_s*bm_s*bm_s
                  a_ = 10.0**loga_
                  b_ = sb(1) + sb(2)*Tc(j) + sb(3)*bm_s &
                     + sb(4)*Tc(j)*bm_s + sb(5)*Tc(j)*Tc(j) &
                     + sb(6)*bm_s*bm_s + sb(7)*Tc(j)*Tc(j)*bm_s &
                     + sb(8)*Tc(j)*bm_s*bm_s + sb(9)*Tc(j)*Tc(j)*Tc(j) &
                     + sb(10)*bm_s*bm_s*bm_s
                  second = (M2/a_)**(1./b_)
               else
                  second = M2
               endif

               loga_ = sa(1) + sa(2)*Tc(j) + sa(3)*cse(1) &
                  + sa(4)*Tc(j)*cse(1) + sa(5)*Tc(j)*Tc(j) &
                  + sa(6)*cse(1)*cse(1) + sa(7)*Tc(j)*Tc(j)*cse(1) &
                  + sa(8)*Tc(j)*cse(1)*cse(1) + sa(9)*Tc(j)*Tc(j)*Tc(j) &
                  + sa(10)*cse(1)*cse(1)*cse(1)
               a_ = 10.0**loga_
               b_ = sb(1)+sb(2)*Tc(j)+sb(3)*cse(1) + sb(4)*Tc(j)*cse(1) &
                  + sb(5)*Tc(j)*Tc(j) + sb(6)*cse(1)*cse(1) &
                  + sb(7)*Tc(j)*Tc(j)*cse(1) + sb(8)*Tc(j)*cse(1)*cse(1) &
                  + sb(9)*Tc(j)*Tc(j)*Tc(j)+sb(10)*cse(1)*cse(1)*cse(1)
               M3 = a_ * second**b_

               oM3 = 1./M3
               Mrat = M2*(M2*oM3)*(M2*oM3)*(M2*oM3)
               M0   = (M2*oM3)**mu_s
               slam1 = M2 * oM3 * Lam0
               slam2 = M2 * oM3 * Lam1

               do n = 1, nbs
                  N_s(n) = Mrat*(Kap0*DEXP(-slam1*Ds(n)) &
                      + Kap1*M0*Ds(n)**mu_s * DEXP(-slam2*Ds(n)))*dts(n)
               enddo

               t1 = 0.0d0
               t2 = 0.0d0
               t3 = 0.0d0
               t4 = 0.0d0
               z1 = 0.0d0
               z2 = 0.0d0
               z3 = 0.0d0
               z4 = 0.0d0
               y1 = 0.0d0
               y2 = 0.0d0
               y3 = 0.0d0
               y4 = 0.0d0
               do n2 = 1, nbr
                  massr = am_r * Dr(n2)**bm_r
                  do n = 1, nbs
                     masss = am_s * Ds(n)**bm_s
      
                     dvs = 0.5d0*((vr(n2) - vs(n)) + DABS(vr(n2)-vs(n)))
                     dvr = 0.5d0*((vs(n) - vr(n2)) + DABS(vs(n)-vr(n2)))

                     if (massr .gt. 2.5*masss) then
                     t1 = t1+ PI*.25*Ef_rs*(Ds(n)+Dr(n2))*(Ds(n)+Dr(n2)) &
                         *dvs*masss * N_s(n)* N_r(n2)
                     z1 = z1+ PI*.25*Ef_rs*(Ds(n)+Dr(n2))*(Ds(n)+Dr(n2)) &
                         *dvs*massr * N_s(n)* N_r(n2)
                     y1 = y1+ PI*.25*Ef_rs*(Ds(n)+Dr(n2))*(Ds(n)+Dr(n2)) &
                         *dvs       * N_s(n)* N_r(n2)
                     else
                     t3 = t3+ PI*.25*Ef_rs*(Ds(n)+Dr(n2))*(Ds(n)+Dr(n2)) &
                         *dvs*masss * N_s(n)* N_r(n2)
                     z3 = z3+ PI*.25*Ef_rs*(Ds(n)+Dr(n2))*(Ds(n)+Dr(n2)) &
                         *dvs*massr * N_s(n)* N_r(n2)
                     y3 = y3+ PI*.25*Ef_rs*(Ds(n)+Dr(n2))*(Ds(n)+Dr(n2)) &
                         *dvs       * N_s(n)* N_r(n2)
                     endif

                     if (massr .gt. 2.5*masss) then
                     t2 = t2+ PI*.25*Ef_rs*(Ds(n)+Dr(n2))*(Ds(n)+Dr(n2)) &
                         *dvr*massr * N_s(n)* N_r(n2)
                     y2 = y2+ PI*.25*Ef_rs*(Ds(n)+Dr(n2))*(Ds(n)+Dr(n2)) &
                         *dvr       * N_s(n)* N_r(n2)
                     z2 = z2+ PI*.25*Ef_rs*(Ds(n)+Dr(n2))*(Ds(n)+Dr(n2)) &
                         *dvr*masss * N_s(n)* N_r(n2)
                     else
                     t4 = t4+ PI*.25*Ef_rs*(Ds(n)+Dr(n2))*(Ds(n)+Dr(n2)) &
                         *dvr*massr * N_s(n)* N_r(n2)
                     y4 = y4+ PI*.25*Ef_rs*(Ds(n)+Dr(n2))*(Ds(n)+Dr(n2)) &
                         *dvr       * N_s(n)* N_r(n2)
                     z4 = z4+ PI*.25*Ef_rs*(Ds(n)+Dr(n2))*(Ds(n)+Dr(n2)) &
                         *dvr*masss * N_s(n)* N_r(n2)
                     endif

                  enddo
               enddo
               tcs_racs1(i,j,k,m) = t1
               tmr_racs1(i,j,k,m) = DMIN1(z1, r_r(m)*1.0d0)
               tcs_racs2(i,j,k,m) = t3
               tmr_racs2(i,j,k,m) = z3
               tcr_sacr1(i,j,k,m) = t2
               tms_sacr1(i,j,k,m) = z2
               tcr_sacr2(i,j,k,m) = t4
               tms_sacr2(i,j,k,m) = z4
               tnr_racs1(i,j,k,m) = y1
               tnr_racs2(i,j,k,m) = y3
               tnr_sacr1(i,j,k,m) = y2
               tnr_sacr2(i,j,k,m) = y4
            enddo
         enddo
      enddo

!..Note wrf_dm_gatherv expects zero-based km_s, km_e (J. Michalakes, 2009Oct30).

#if ( defined( DM_PARALLEL ) && ( ! defined( STUBMPI ) ) )
      CALL wrf_dm_gatherv(tcs_racs1, ntb_s*ntb_t, km_s, km_e, R8SIZE)
      CALL wrf_dm_gatherv(tmr_racs1, ntb_s*ntb_t, km_s, km_e, R8SIZE)
      CALL wrf_dm_gatherv(tcs_racs2, ntb_s*ntb_t, km_s, km_e, R8SIZE)
      CALL wrf_dm_gatherv(tmr_racs2, ntb_s*ntb_t, km_s, km_e, R8SIZE)
      CALL wrf_dm_gatherv(tcr_sacr1, ntb_s*ntb_t, km_s, km_e, R8SIZE)
      CALL wrf_dm_gatherv(tms_sacr1, ntb_s*ntb_t, km_s, km_e, R8SIZE)
      CALL wrf_dm_gatherv(tcr_sacr2, ntb_s*ntb_t, km_s, km_e, R8SIZE)
      CALL wrf_dm_gatherv(tms_sacr2, ntb_s*ntb_t, km_s, km_e, R8SIZE)
      CALL wrf_dm_gatherv(tnr_racs1, ntb_s*ntb_t, km_s, km_e, R8SIZE)
      CALL wrf_dm_gatherv(tnr_racs2, ntb_s*ntb_t, km_s, km_e, R8SIZE)
      CALL wrf_dm_gatherv(tnr_sacr1, ntb_s*ntb_t, km_s, km_e, R8SIZE)
      CALL wrf_dm_gatherv(tnr_sacr2, ntb_s*ntb_t, km_s, km_e, R8SIZE)
#endif


      end subroutine qr_acr_qs
!+---+-----------------------------------------------------------------+
!ctrlL
!+---+-----------------------------------------------------------------+
!..This is a literal adaptation of Bigg (1954) probability of drops of
!..a particular volume freezing.  Given this probability, simply freeze
!..the proportion of drops summing their masses.
!+---+-----------------------------------------------------------------+

      subroutine freezeH2O

      implicit none

!..Local variables
      INTEGER:: i, j, k, n, n2
      DOUBLE PRECISION, DIMENSION(nbr):: N_r, massr
      DOUBLE PRECISION, DIMENSION(nbc):: N_c, massc
      DOUBLE PRECISION:: sum1, sum2, sumn1, sumn2, &
                         prob, vol, Texp, orho_w, &
                         lam_exp, lamr, N0_r, lamc, N0_c, y

!+---+

      orho_w = 1./rho_w

      do n2 = 1, nbr
         massr(n2) = am_r*Dr(n2)**bm_r
      enddo
      do n = 1, nbc
         massc(n) = am_r*Dc(n)**bm_r
      enddo

!..Freeze water (smallest drops become cloud ice, otherwise graupel).
      do k = 1, 45
!         print*, ' Freezing water for temp = ', -k
         Texp = DEXP( DFLOAT(k) ) - 1.0D0
         do j = 1, ntb_r1
            do i = 1, ntb_r
               lam_exp = (N0r_exp(j)*am_r*crg(1)/r_r(i))**ore1
               lamr = lam_exp * (crg(3)*org2*org1)**obmr
               N0_r = N0r_exp(j)/(crg(2)*lam_exp) * lamr**cre(2)
               sum1 = 0.0d0
               sum2 = 0.0d0
               sumn1 = 0.0d0
               sumn2 = 0.0d0
               do n2 = 1, nbr
                  N_r(n2) = N0_r*Dr(n2)**mu_r*DEXP(-lamr*Dr(n2))*dtr(n2)
                  vol = massr(n2)*orho_w
                  prob = 1.0D0 - DEXP(-120.0D0*vol*5.2D-4 * Texp)
                  if (massr(n2) .lt. xm0g) then
                     sumn1 = sumn1 + prob*N_r(n2)
                     sum1 = sum1 + prob*N_r(n2)*massr(n2)
                  else
                     sumn2 = sumn2 + prob*N_r(n2)
                     sum2 = sum2 + prob*N_r(n2)*massr(n2)
                  endif
               enddo
               tpi_qrfz(i,j,k) = sum1
               tni_qrfz(i,j,k) = sumn1
               tpg_qrfz(i,j,k) = sum2
               tnr_qrfz(i,j,k) = sumn2
            enddo
         enddo
         do i = 1, ntb_c
            lamc = 1.0D-6 * (Nt_c*am_r* ccg(2) * ocg1 / r_c(i))**obmr
            N0_c = 1.0D-18 * Nt_c*ocg1 * lamc**cce(1)
            sum1 = 0.0d0
            sumn2 = 0.0d0
            do n = 1, nbc
               y = Dc(n)*1.0D6
               vol = massc(n)*orho_w
               prob = 1.0D0 - DEXP(-120.0D0*vol*5.2D-4 * Texp)
               N_c(n) = N0_c* y**mu_c * EXP(-lamc*y)*dtc(n)
               N_c(n) = 1.0D24 * N_c(n)
               sumn2 = sumn2 + prob*N_c(n)
               sum1 = sum1 + prob*N_c(n)*massc(n)
            enddo
            tpi_qcfz(i,k) = sum1
            tni_qcfz(i,k) = sumn2
         enddo
      enddo

      end subroutine freezeH2O
!+---+-----------------------------------------------------------------+
!ctrlL
!+---+-----------------------------------------------------------------+
!..Cloud ice converting to snow since portion greater than min snow
!.. size.  Given cloud ice content (kg/m**3), number concentration
!.. (#/m**3) and gamma shape parameter, mu_i, break the distrib into
!.. bins and figure out the mass/number of ice with sizes larger than
!.. D0s.  Also, compute incomplete gamma function for the integration
!.. of ice depositional growth from diameter=0 to D0s.  Amount of
!.. ice depositional growth is this portion of distrib while larger
!.. diameters contribute to snow growth (as in Harrington et al. 1995).
!+---+-----------------------------------------------------------------+

      subroutine qi_aut_qs

      implicit none

!..Local variables
      INTEGER:: i, j, n2
      DOUBLE PRECISION, DIMENSION(nbi):: N_i
      DOUBLE PRECISION:: N0_i, lami, Di_mean, t1, t2
      REAL:: xlimit_intg

!+---+

      do j = 1, ntb_i1
         do i = 1, ntb_i
            lami = (am_i*cig(2)*oig1*Nt_i(j)/r_i(i))**obmi
            Di_mean = (bm_i + mu_i + 1.) / lami
            N0_i = Nt_i(j)*oig1 * lami**cie(1)
            t1 = 0.0d0
            t2 = 0.0d0
            if (SNGL(Di_mean) .gt. 5.*D0s) then
             t1 = r_i(i)
             t2 = Nt_i(j)
             tpi_ide(i,j) = 0.0D0
            elseif (SNGL(Di_mean) .lt. D0i) then
             t1 = 0.0D0
             t2 = 0.0D0
             tpi_ide(i,j) = 1.0D0
            else
             xlimit_intg = lami*D0s
             tpi_ide(i,j) = GAMMP(mu_i+2.0, xlimit_intg) * 1.0D0
             do n2 = 1, nbi
               N_i(n2) = N0_i*Di(n2)**mu_i * DEXP(-lami*Di(n2))*dti(n2)
               if (Di(n2).ge.D0s) then
                  t1 = t1 + N_i(n2) * am_i*Di(n2)**bm_i
                  t2 = t2 + N_i(n2)
               endif
             enddo
            endif
            tps_iaus(i,j) = t1
            tni_iaus(i,j) = t2
         enddo
      enddo

      end subroutine qi_aut_qs
!ctrlL
!+---+-----------------------------------------------------------------+
!..Variable collision efficiency for rain collecting cloud water using
!.. method of Beard and Grover, 1974 if a/A less than 0.25; otherwise
!.. uses polynomials to get close match of Pruppacher & Klett Fig 14-9.
!+---+-----------------------------------------------------------------+

      subroutine table_Efrw

      implicit none

!..Local variables
      DOUBLE PRECISION:: vtr, stokes, reynolds, Ef_rw
      DOUBLE PRECISION:: p, yc0, F, G, H, z, K0, X
      INTEGER:: i, j

      do j = 1, nbc
      do i = 1, nbr
         Ef_rw = 0.0
         p = Dc(j)/Dr(i)
         if (Dr(i).lt.50.E-6 .or. Dc(j).lt.3.E-6) then
          t_Efrw(i,j) = 0.0
         elseif (p.gt.0.25) then
          X = Dc(j)*1.D6
          if (Dr(i) .lt. 75.e-6) then
             Ef_rw = 0.026794*X - 0.20604
          elseif (Dr(i) .lt. 125.e-6) then
             Ef_rw = -0.00066842*X*X + 0.061542*X - 0.37089
          elseif (Dr(i) .lt. 175.e-6) then
             Ef_rw = 4.091e-06*X*X*X*X - 0.00030908*X*X*X               &
                   + 0.0066237*X*X - 0.0013687*X - 0.073022
          elseif (Dr(i) .lt. 250.e-6) then
             Ef_rw = 9.6719e-5*X*X*X - 0.0068901*X*X + 0.17305*X        &
                   - 0.65988
          elseif (Dr(i) .lt. 350.e-6) then
             Ef_rw = 9.0488e-5*X*X*X - 0.006585*X*X + 0.16606*X         &
                   - 0.56125
          else
             Ef_rw = 0.00010721*X*X*X - 0.0072962*X*X + 0.1704*X        &
                   - 0.46929
          endif
         else
          vtr = -0.1021 + 4.932E3*Dr(i) - 0.9551E6*Dr(i)*Dr(i) &
              + 0.07934E9*Dr(i)*Dr(i)*Dr(i) &
              - 0.002362E12*Dr(i)*Dr(i)*Dr(i)*Dr(i)
          stokes = Dc(j)*Dc(j)*vtr*rho_w/(9.*1.718E-5*Dr(i))
          reynolds = 9.*stokes/(p*p*rho_w)

          F = DLOG(reynolds)
          G = -0.1007D0 - 0.358D0*F + 0.0261D0*F*F
          K0 = DEXP(G)
          z = DLOG(stokes/(K0+1.D-15))
          H = 0.1465D0 + 1.302D0*z - 0.607D0*z*z + 0.293D0*z*z*z
          yc0 = 2.0D0/PI * ATAN(H)
          Ef_rw = (yc0+p)*(yc0+p) / ((1.+p)*(1.+p))

         endif

         t_Efrw(i,j) = MAX(0.0, MIN(SNGL(Ef_rw), 0.95))

      enddo
      enddo

      end subroutine table_Efrw
!ctrlL
!+---+-----------------------------------------------------------------+
!..Variable collision efficiency for snow collecting cloud water using
!.. method of Wang and Ji, 2000 except equate melted snow diameter to
!.. their "effective collision cross-section."
!+---+-----------------------------------------------------------------+

      subroutine table_Efsw

      implicit none

!..Local variables
      DOUBLE PRECISION:: Ds_m, vts, vtc, stokes, reynolds, Ef_sw
      DOUBLE PRECISION:: p, yc0, F, G, H, z, K0
      INTEGER:: i, j

      do j = 1, nbc
      vtc = 1.19D4 * (1.0D4*Dc(j)*Dc(j)*0.25D0)
      do i = 1, nbs
         vts = av_s*Ds(i)**bv_s * DEXP(-fv_s*Ds(i)) - vtc
         Ds_m = (am_s*Ds(i)**bm_s / am_r)**obmr
         p = Dc(j)/Ds_m
         if (p.gt.0.25 .or. Ds(i).lt.D0s .or. Dc(j).lt.6.E-6 &
               .or. vts.lt.1.E-3) then
          t_Efsw(i,j) = 0.0
         else
          stokes = Dc(j)*Dc(j)*vts*rho_w/(9.*1.718E-5*Ds_m)
          reynolds = 9.*stokes/(p*p*rho_w)

          F = DLOG(reynolds)
          G = -0.1007D0 - 0.358D0*F + 0.0261D0*F*F
          K0 = DEXP(G)
          z = DLOG(stokes/(K0+1.D-15))
          H = 0.1465D0 + 1.302D0*z - 0.607D0*z*z + 0.293D0*z*z*z
          yc0 = 2.0D0/PI * ATAN(H)
          Ef_sw = (yc0+p)*(yc0+p) / ((1.+p)*(1.+p))

          t_Efsw(i,j) = MAX(0.0, MIN(SNGL(Ef_sw), 0.95))
         endif

      enddo
      enddo

      end subroutine table_Efsw
!ctrlL
!+---+-----------------------------------------------------------------+
!..Integrate rain size distribution from zero to D-star to compute the
!.. number of drops smaller than D-star that evaporate in a single
!.. timestep.  Drops larger than D-star dont evaporate entirely so do
!.. not affect number concentration.
!+---+-----------------------------------------------------------------+

      subroutine table_dropEvap

      implicit none

!..Local variables
      DOUBLE PRECISION:: Nt_r, N0, lam_exp, lam
      REAL:: xlimit_intg
      INTEGER:: i, j, k

      do k = 1, ntb_r
      do j = 1, ntb_r1
         lam_exp = (N0r_exp(j)*am_r*crg(1)/r_r(k))**ore1
         lam = lam_exp * (crg(3)*org2*org1)**obmr
         N0 = N0r_exp(j)/(crg(2)*lam_exp) * lam**cre(2)
         Nt_r = N0 * crg(2) / lam**cre(2)

         do i = 1, nbr
            xlimit_intg = lam*Dr(i)
            tnr_rev(i,j,k) = GAMMP(mu_r+1.0, xlimit_intg) * Nt_r
         enddo

      enddo
      enddo

      end subroutine table_dropEvap

! TO APPLY TABLE ABOVE
!..Rain lookup table indexes.
!         Dr_star = DSQRT(-2.D0*DT * t1_evap/(2.*PI) &
!                 * 0.78*4.*diffu(k)*xsat*rvs/rho_w)
!         idx_d = NINT(1.0 + FLOAT(nbr) * DLOG(Dr_star/D0r)             &
!               / DLOG(Dr(nbr)/D0r))
!         idx_d = MAX(1, MIN(idx_d, nbr))
!
!         nir = NINT(ALOG10(rr(k)))
!         do nn = nir-1, nir+1
!            n = nn
!            if ( (rr(k)/10.**nn).ge.1.0 .and. &
!                 (rr(k)/10.**nn).lt.10.0) goto 154
!         enddo
!154      continue
!         idx_r = INT(rr(k)/10.**n) + 10*(n-nir2) - (n-nir2)
!         idx_r = MAX(1, MIN(idx_r, ntb_r))
!
!         lamr = (am_r*crg(3)*org2*nr(k)/rr(k))**obmr
!         lam_exp = lamr * (crg(3)*org2*org1)**bm_r
!         N0_exp = org1*rr(k)/am_r * lam_exp**cre(1)
!         nir = NINT(DLOG10(N0_exp))
!         do nn = nir-1, nir+1
!            n = nn
!            if ( (N0_exp/10.**nn).ge.1.0 .and. &
!                 (N0_exp/10.**nn).lt.10.0) goto 155
!         enddo
!155      continue
!         idx_r1 = INT(N0_exp/10.**n) + 10*(n-nir3) - (n-nir3)
!         idx_r1 = MAX(1, MIN(idx_r1, ntb_r1))
!
!         pnr_rev(k) = MIN(nr(k)*odts, SNGL(tnr_rev(idx_d,idx_r1,idx_r) &   ! RAIN2M
!                    * odts))
!
!ctrlL
!+---+-----------------------------------------------------------------+
!+---+-----------------------------------------------------------------+
      SUBROUTINE GCF(GAMMCF,A,X,GLN)
!     --- RETURNS THE INCOMPLETE GAMMA FUNCTION Q(A,X) EVALUATED BY ITS
!     --- CONTINUED FRACTION REPRESENTATION AS GAMMCF.  ALSO RETURNS
!     --- LN(GAMMA(A)) AS GLN.  THE CONTINUED FRACTION IS EVALUATED BY
!     --- A MODIFIED LENTZ METHOD.
!     --- USES GAMMLN
      IMPLICIT NONE
      INTEGER, PARAMETER:: ITMAX=100
      REAL, PARAMETER:: gEPS=3.E-7
      REAL, PARAMETER:: FPMIN=1.E-30
      REAL, INTENT(IN):: A, X
      REAL:: GAMMCF,GLN
      INTEGER:: I
      REAL:: AN,B,C,D,DEL,H
      GLN=GAMMLN(A)
      B=X+1.-A
      C=1./FPMIN
      D=1./B
      H=D
      DO 11 I=1,ITMAX
        AN=-I*(I-A)
        B=B+2.
        D=AN*D+B
        IF(ABS(D).LT.FPMIN)D=FPMIN
        C=B+AN/C
        IF(ABS(C).LT.FPMIN)C=FPMIN
        D=1./D
        DEL=D*C
        H=H*DEL
        IF(ABS(DEL-1.).LT.gEPS)GOTO 1
 11   CONTINUE
      PRINT *, 'A TOO LARGE, ITMAX TOO SMALL IN GCF'
 1    GAMMCF=EXP(-X+A*LOG(X)-GLN)*H
      END SUBROUTINE GCF
!  (C) Copr. 1986-92 Numerical Recipes Software 2.02
!+---+-----------------------------------------------------------------+
      SUBROUTINE GSER(GAMSER,A,X,GLN)
!     --- RETURNS THE INCOMPLETE GAMMA FUNCTION P(A,X) EVALUATED BY ITS
!     --- ITS SERIES REPRESENTATION AS GAMSER.  ALSO RETURNS LN(GAMMA(A)) 
!     --- AS GLN.
!     --- USES GAMMLN
      IMPLICIT NONE
      INTEGER, PARAMETER:: ITMAX=100
      REAL, PARAMETER:: gEPS=3.E-7
      REAL, INTENT(IN):: A, X
      REAL:: GAMSER,GLN
      INTEGER:: N
      REAL:: AP,DEL,SUM
      GLN=GAMMLN(A)
      IF(X.LE.0.)THEN
        IF(X.LT.0.) PRINT *, 'X < 0 IN GSER'
        GAMSER=0.
        RETURN
      ENDIF
      AP=A
      SUM=1./A
      DEL=SUM
      DO 11 N=1,ITMAX
        AP=AP+1.
        DEL=DEL*X/AP
        SUM=SUM+DEL
        IF(ABS(DEL).LT.ABS(SUM)*gEPS)GOTO 1
 11   CONTINUE
      PRINT *,'A TOO LARGE, ITMAX TOO SMALL IN GSER'
 1    GAMSER=SUM*EXP(-X+A*LOG(X)-GLN)
      END SUBROUTINE GSER
!  (C) Copr. 1986-92 Numerical Recipes Software 2.02
!+---+-----------------------------------------------------------------+
      REAL FUNCTION GAMMLN(XX)
!     --- RETURNS THE VALUE LN(GAMMA(XX)) FOR XX > 0.
      IMPLICIT NONE
      REAL, INTENT(IN):: XX
      DOUBLE PRECISION, PARAMETER:: STP = 2.5066282746310005D0
      DOUBLE PRECISION, DIMENSION(6), PARAMETER:: &
               COF = (/76.18009172947146D0, -86.50532032941677D0, &
                       24.01409824083091D0, -1.231739572450155D0, &
                      .1208650973866179D-2, -.5395239384953D-5/)
      DOUBLE PRECISION:: SER,TMP,X,Y
      INTEGER:: J

      X=XX
      Y=X
      TMP=X+5.5D0
      TMP=(X+0.5D0)*LOG(TMP)-TMP
      SER=1.000000000190015D0
      DO 11 J=1,6
        Y=Y+1.D0
        SER=SER+COF(J)/Y
11    CONTINUE
      GAMMLN=TMP+LOG(STP*SER/X)
      END FUNCTION GAMMLN
!  (C) Copr. 1986-92 Numerical Recipes Software 2.02
!+---+-----------------------------------------------------------------+
      REAL FUNCTION GAMMP(A,X)
!     --- COMPUTES THE INCOMPLETE GAMMA FUNCTION P(A,X)
!     --- SEE ABRAMOWITZ AND STEGUN 6.5.1
!     --- USES GCF,GSER
      IMPLICIT NONE
      REAL, INTENT(IN):: A,X
      REAL:: GAMMCF,GAMSER,GLN
      GAMMP = 0.
      IF((X.LT.0.) .OR. (A.LE.0.)) THEN
        PRINT *, 'BAD ARGUMENTS IN GAMMP'
        RETURN
      ELSEIF(X.LT.A+1.)THEN
        CALL GSER(GAMSER,A,X,GLN)
        GAMMP=GAMSER
      ELSE
        CALL GCF(GAMMCF,A,X,GLN)
        GAMMP=1.-GAMMCF
      ENDIF
      END FUNCTION GAMMP
!  (C) Copr. 1986-92 Numerical Recipes Software 2.02
!+---+-----------------------------------------------------------------+
      REAL FUNCTION WGAMMA(y)

      IMPLICIT NONE
      REAL, INTENT(IN):: y

      WGAMMA = EXP(GAMMLN(y))

      END FUNCTION WGAMMA
!+---+-----------------------------------------------------------------+
! THIS FUNCTION CALCULATES THE LIQUID SATURATION VAPOR MIXING RATIO AS
! A FUNCTION OF TEMPERATURE AND PRESSURE
!
      REAL FUNCTION RSLF(P,T)

      IMPLICIT NONE
      REAL, INTENT(IN):: P, T
      REAL:: ESL,X
      REAL, PARAMETER:: C0= .611583699E03
      REAL, PARAMETER:: C1= .444606896E02
      REAL, PARAMETER:: C2= .143177157E01
      REAL, PARAMETER:: C3= .264224321E-1
      REAL, PARAMETER:: C4= .299291081E-3
      REAL, PARAMETER:: C5= .203154182E-5
      REAL, PARAMETER:: C6= .702620698E-8
      REAL, PARAMETER:: C7= .379534310E-11
      REAL, PARAMETER:: C8=-.321582393E-13

      X=MAX(-80.,T-273.16)

!      ESL=612.2*EXP(17.67*X/(T-29.65))
      ESL=C0+X*(C1+X*(C2+X*(C3+X*(C4+X*(C5+X*(C6+X*(C7+X*C8)))))))
      RSLF=.622*ESL/(P-ESL)

!    ALTERNATIVE
!  ; Source: Murphy and Koop, Review of the vapour pressure of ice and
!             supercooled water for atmospheric applications, Q. J. R.
!             Meteorol. Soc (2005), 131, pp. 1539-1565.
!    ESL = EXP(54.842763 - 6763.22 / T - 4.210 * ALOG(T) + 0.000367 * T
!        + TANH(0.0415 * (T - 218.8)) * (53.878 - 1331.22
!        / T - 9.44523 * ALOG(T) + 0.014025 * T))

      END FUNCTION RSLF
!+---+-----------------------------------------------------------------+
! THIS FUNCTION CALCULATES THE ICE SATURATION VAPOR MIXING RATIO AS A
! FUNCTION OF TEMPERATURE AND PRESSURE
!
      REAL FUNCTION RSIF(P,T)

      IMPLICIT NONE
      REAL, INTENT(IN):: P, T
      REAL:: ESI,X
      REAL, PARAMETER:: C0= .609868993E03
      REAL, PARAMETER:: C1= .499320233E02
      REAL, PARAMETER:: C2= .184672631E01
      REAL, PARAMETER:: C3= .402737184E-1
      REAL, PARAMETER:: C4= .565392987E-3
      REAL, PARAMETER:: C5= .521693933E-5
      REAL, PARAMETER:: C6= .307839583E-7
      REAL, PARAMETER:: C7= .105785160E-9
      REAL, PARAMETER:: C8= .161444444E-12

      X=MAX(-80.,T-273.16)
      ESI=C0+X*(C1+X*(C2+X*(C3+X*(C4+X*(C5+X*(C6+X*(C7+X*C8)))))))
      RSIF=.622*ESI/(P-ESI)

!    ALTERNATIVE
!  ; Source: Murphy and Koop, Review of the vapour pressure of ice and
!             supercooled water for atmospheric applications, Q. J. R.
!             Meteorol. Soc (2005), 131, pp. 1539-1565.
!     ESI = EXP(9.550426 - 5723.265/T + 3.53068*ALOG(T) - 0.00728332*T)

      END FUNCTION RSIF
!+---+-----------------------------------------------------------------+

!+---+-----------------------------------------------------------------+
END MODULE module_mp_thompson
!+---+-----------------------------------------------------------------+