mo_cloud_optics_rrtmgp.F90 Source File


Contents


Source Code

! This code is part of Radiative Transfer for Energetics (RTE)
!
! Contacts: Robert Pincus and Eli Mlawer
! email:  rrtmgp@aer.com
!
! Copyright 2015-2018,  Atmospheric and Environmental Research and
! Regents of the University of Colorado.  All right reserved.
!
! Use and duplication is permitted under the terms of the
!    BSD 3-clause license, see http://opensource.org/licenses/BSD-3-Clause
! -------------------------------------------------------------------------------------------------
! Provides cloud optical properties as a function of effective radius for the RRTMGP bands
!   Based on Mie calculations for liquid
!     and results from doi:10.1175/JAS-D-12-039.1 for ice with variable surface roughness
!   Can use either look-up tables or Pade approximates according to which data has been loaded
!   Mike Iacono (AER) is the original author
!
! The class can be used as-is but is also intended as an example of how to extend the RTE framework
! -------------------------------------------------------------------------------------------------

module mo_cloud_optics_rrtmgp
  use mo_rte_kind,      only: wp, wl
  use mo_rte_config,    only: check_values, check_extents
  use mo_rte_util_array_validation,& 
                        only: any_vals_less_than, any_vals_outside, extents_are
  use mo_optical_props, only: ty_optical_props,      &
                              ty_optical_props_arry, &
                              ty_optical_props_1scl, &
                              ty_optical_props_2str, &
                              ty_optical_props_nstr
  implicit none
  interface pade_eval
    module procedure pade_eval_nbnd, pade_eval_1
  end interface pade_eval
  private
  ! -----------------------------------------------------------------------------------
  type, extends(ty_optical_props), public :: ty_cloud_optics_rrtmgp
    private
    !
    ! Ice surface roughness category - needed for Yang (2013) ice optics parameterization
    !
    integer            :: icergh = 0  ! (1 = none, 2 = medium, 3 = high)
    !
    ! Lookup table information
    !
    ! Upper and lower limits of the tables
    real(wp) :: radliq_lwr = 0._wp, radliq_upr = 0._wp
    real(wp) :: radice_lwr = 0._wp, radice_upr = 0._wp
    ! How many steps in the table? (for convenience)
    integer  :: liq_nsteps = 0,        ice_nsteps = 0
    ! How big is each step in the table?
    real(wp) :: liq_step_size = 0._wp, ice_step_size = 0._wp
    !
    ! The tables themselves.
    !
    real(wp), dimension(:,:    ), allocatable :: lut_extliq, lut_ssaliq, lut_asyliq ! (nsize_liq, nbnd)
    real(wp), dimension(:,:,:  ), allocatable :: lut_extice, lut_ssaice, lut_asyice ! (nsize_ice, nbnd, nrghice)

    !
    ! Pade approximant coefficients
    !
    real(wp), dimension(:,:,:  ), allocatable :: pade_extliq                 ! (nbnd, nsizereg, ncoeff_ext)
    real(wp), dimension(:,:,:  ), allocatable :: pade_ssaliq,  pade_asyliq   ! (nbnd, nsizereg, ncoeff_ssa_g)
    real(wp), dimension(:,:,:,:), allocatable :: pade_extice                 ! (nbnd, nsizereg, ncoeff_ext, nrghice)
    real(wp), dimension(:,:,:,:), allocatable :: pade_ssaice, pade_asyice    ! (nbnd, nsizereg, ncoeff_ssa_g, nrghice)
    ! Particle size regimes for Pade formulations
    real(wp), dimension(:), allocatable :: pade_sizreg_extliq, pade_sizreg_ssaliq, pade_sizreg_asyliq  ! (nbound)
    real(wp), dimension(:), allocatable :: pade_sizreg_extice, pade_sizreg_ssaice, pade_sizreg_asyice  ! (nbound)
    ! -----
  contains
    generic,   public :: load  => load_lut, load_pade
    procedure, public :: finalize
    procedure, public :: cloud_optics
    procedure, public :: get_min_radius_liq
    procedure, public :: get_min_radius_ice
    procedure, public :: get_max_radius_liq
    procedure, public :: get_max_radius_ice
    procedure, public :: get_num_ice_roughness_types
    procedure, public :: set_ice_roughness
    ! Internal procedures
    procedure, private :: load_lut
    procedure, private :: load_pade
  end type ty_cloud_optics_rrtmgp

contains
  ! ------------------------------------------------------------------------------
  !
  ! Routines to load data needed for cloud optics calculations. Two routines: one to load
  !    lookup-tables and one for coefficients for Pade approximates
  !
  ! ------------------------------------------------------------------------------
  function load_lut(this, band_lims_wvn, &
                    radliq_lwr, radliq_upr, &
                    radice_lwr, radice_upr, &
                    lut_extliq, lut_ssaliq, lut_asyliq, &
                    lut_extice, lut_ssaice, lut_asyice) result(error_msg)
    class(ty_cloud_optics_rrtmgp),     intent(inout) :: this
    real(wp), dimension(:,:),   intent(in   ) :: band_lims_wvn ! Spectral discretization
    ! Lookup table interpolation constants
    ! Lower and upper bounds of the tables; also the constant for calculating interpolation indices for liquid
    real(wp),                   intent(in   ) :: radliq_lwr, radliq_upr
    real(wp),                   intent(in   ) :: radice_lwr, radice_upr
    ! LUT coefficients
    ! Extinction, single-scattering albedo, and asymmetry parameter for liquid and ice respectively
    real(wp), dimension(:,:),   intent(in)    :: lut_extliq, lut_ssaliq, lut_asyliq
    real(wp), dimension(:,:,:), intent(in)    :: lut_extice, lut_ssaice, lut_asyice
    character(len=128)    :: error_msg
    ! -------
    !
    ! Local variables
    !
    integer               :: nbnd, nrghice, nsize_liq, nsize_ice

    error_msg = this%init(band_lims_wvn, name="RRTMGP cloud optics")
    !
    ! LUT coefficient dimensions
    !
    nsize_liq = size(lut_extliq,dim=1)
    nsize_ice = size(lut_extice,dim=1)
    nbnd      = size(lut_extliq,dim=2)
    nrghice   = size(lut_extice,dim=3)
    !
    ! Error checking
    !   Can we check for consistency between table bounds and _fac?
    !
    if(nbnd /= this%get_nband()) &
      error_msg = "cloud_optics%init(): number of bands inconsistent between lookup tables, spectral discretization"
    if(size(lut_extice, 2) /= nbnd) &
      error_msg = "cloud_optics%init(): array lut_extice has the wrong number of bands"
    if(.not. extents_are(lut_ssaliq, nsize_liq, nbnd)) &
      error_msg = "cloud_optics%init(): array lut_ssaliq isn't consistently sized"
    if(.not. extents_are(lut_asyliq, nsize_liq, nbnd)) &
      error_msg = "cloud_optics%init(): array lut_asyliq isn't consistently sized"
    if(.not. extents_are(lut_ssaice, nsize_ice, nbnd, nrghice)) &
      error_msg = "cloud_optics%init(): array lut_ssaice  isn't consistently sized"
    if(.not. extents_are(lut_asyice, nsize_ice, nbnd, nrghice)) &
      error_msg = "cloud_optics%init(): array lut_asyice  isn't consistently sized"
    if(error_msg /= "") return

    this%liq_nsteps = nsize_liq
    this%ice_nsteps = nsize_ice
    this%liq_step_size = (radliq_upr - radliq_lwr)/real(nsize_liq-1,wp)
    this%ice_step_size = (radice_upr - radice_lwr)/real(nsize_ice-1,wp)
    ! Allocate LUT coefficients
    allocate(this%lut_extliq(nsize_liq, nbnd), &
             this%lut_ssaliq(nsize_liq, nbnd), &
             this%lut_asyliq(nsize_liq, nbnd), &
             this%lut_extice(nsize_ice, nbnd, nrghice), &
             this%lut_ssaice(nsize_ice, nbnd, nrghice), &
             this%lut_asyice(nsize_ice, nbnd, nrghice))

    !$acc enter data create(this)                                               &
    !$acc            create(this%lut_extliq, this%lut_ssaliq, this%lut_asyliq)  &
    !$acc            create(this%lut_extice, this%lut_ssaice, this%lut_asyice)
    !$omp target enter data &
    !$omp map(alloc:this%lut_extliq, this%lut_ssaliq, this%lut_asyliq) &
    !$omp map(alloc:this%lut_extice, this%lut_ssaice, this%lut_asyice)
    ! Load LUT constants
    this%radliq_lwr = radliq_lwr
    this%radliq_upr = radliq_upr
    this%radice_lwr = radice_lwr
    this%radice_upr = radice_upr

    ! Load LUT coefficients
    !$acc kernels
    !$omp target
    this%lut_extliq = lut_extliq
    this%lut_ssaliq = lut_ssaliq
    this%lut_asyliq = lut_asyliq
    this%lut_extice = lut_extice
    this%lut_ssaice = lut_ssaice
    this%lut_asyice = lut_asyice
    !$acc end kernels
    !$omp end target
    !
    ! Set default ice roughness - min values
    !
    error_msg = this%set_ice_roughness(1)
  end function load_lut
  ! ------------------------------------------------------------------------------
  !
  ! Cloud optics initialization function - Pade
  !
  ! ------------------------------------------------------------------------------
  function load_pade(this, band_lims_wvn, &
                     pade_extliq, pade_ssaliq, pade_asyliq, &
                     pade_extice, pade_ssaice, pade_asyice, &
                     pade_sizreg_extliq, pade_sizreg_ssaliq, pade_sizreg_asyliq, &
                     pade_sizreg_extice, pade_sizreg_ssaice, pade_sizreg_asyice) &
                     result(error_msg)
    class(ty_cloud_optics_rrtmgp),       intent(inout) :: this          ! cloud specification data
    real(wp), dimension(:,:),     intent(in   ) :: band_lims_wvn ! Spectral discretization
    !
    ! Pade coefficients: extinction, single-scattering albedo, and asymmetry factor for liquid and ice
    !
    real(wp), dimension(:,:,:),   intent(in)    :: pade_extliq, pade_ssaliq, pade_asyliq
    real(wp), dimension(:,:,:,:), intent(in)    :: pade_extice, pade_ssaice, pade_asyice
    !
    ! Boundaries of size regimes. Liquid and ice are separate;
    !   extinction is fit to different numbers of size bins than single-scattering albedo and asymmetry factor
    !
    real(wp),  dimension(:),       intent(in)    :: pade_sizreg_extliq, pade_sizreg_ssaliq, pade_sizreg_asyliq
    real(wp),  dimension(:),       intent(in)    :: pade_sizreg_extice, pade_sizreg_ssaice, pade_sizreg_asyice
    character(len=128)    :: error_msg

! ------- Local -------

    integer               :: nbnd, nrghice, nsizereg, ncoeff_ext, ncoeff_ssa_g, nbound

! ------- Definitions -------

    ! Pade coefficient dimensions
    nbnd         = size(pade_extliq,dim=1)
    nsizereg     = size(pade_extliq,dim=2)
    ncoeff_ext   = size(pade_extliq,dim=3)
    ncoeff_ssa_g = size(pade_ssaliq,dim=3)
    nrghice      = size(pade_extice,dim=4)
    nbound       = size(pade_sizreg_extliq)
    ! The number of size regimes is assumed in the Pade evaluations
    if (nsizereg /= 3) &
      error_msg = "cloud optics: code assumes exactly three size regimes for Pade approximants but data is otherwise"
    error_msg = this%init(band_lims_wvn, name="RRTMGP cloud optics")
    !
    ! Error checking
    !
    if(nbnd /= this%get_nband()) &
      error_msg = "cloud_optics%init(): number of bands inconsistent between lookup tables, spectral discretization"
    if(.not. extents_are(pade_ssaliq, nbnd, nsizereg, ncoeff_ssa_g)) &
      error_msg = "cloud_optics%init(): array pade_ssaliq isn't consistently sized"
    if(.not. extents_are(pade_asyliq, nbnd, nsizereg, ncoeff_ssa_g)) &
      error_msg = "cloud_optics%init(): array pade_asyliq isn't consistently sized"
    if(.not. extents_are(pade_extice, nbnd, nsizereg, ncoeff_ext, nrghice))               &
      error_msg = "cloud_optics%init(): array pade_extice isn't consistently sized"
    if(.not. extents_are(pade_ssaice, nbnd, nsizereg, ncoeff_ssa_g, nrghice))               &
      error_msg = "cloud_optics%init(): array pade_ssaice isn't consistently sized"
    if(.not. extents_are(pade_asyice, nbnd, nsizereg, ncoeff_ssa_g, nrghice))               &
      error_msg = "cloud_optics%init(): array pade_asyice isn't consistently sized"
    if(any([                          size(pade_sizreg_ssaliq), size(pade_sizreg_asyliq),               &
            size(pade_sizreg_extice), size(pade_sizreg_ssaice), size(pade_sizreg_asyice)] /= nbound))   &
      error_msg = "cloud_optics%init(): one or more Pade size regime arrays are inconsistently sized"
    if(nsizereg /= 3) &
        error_msg = "cloud_optics%init(): Expecting precisely three size regimes for Pade approximants"
    if(error_msg /= "") return
    !
    ! Consistency among size regimes
    !
    this%radliq_lwr = pade_sizreg_extliq(1)
    this%radliq_upr = pade_sizreg_extliq(nbound)
    this%radice_lwr = pade_sizreg_extice(1)
    this%radice_upr = pade_sizreg_extice(nbound)
    if(error_msg /= "") return

    if(any([pade_sizreg_ssaliq(1), pade_sizreg_asyliq(1)] < this%radliq_lwr)) &
      error_msg = "cloud_optics%init(): one or more Pade size regimes have inconsistent lowest values"
    if(any([pade_sizreg_ssaice(1), pade_sizreg_asyice(1)] < this%radice_lwr)) &
      error_msg = "cloud_optics%init(): one or more Pade size regimes have inconsistent lower values"

    if(any([pade_sizreg_ssaliq(nbound), pade_sizreg_asyliq(nbound)] > this%radliq_upr)) &
      error_msg = "cloud_optics%init(): one or more Pade size regimes have lowest value less than radliq_upr"
    if(any([pade_sizreg_ssaice(nbound), pade_sizreg_asyice(nbound)] > this%radice_upr)) &
      error_msg = "cloud_optics%init(): one or more Pade size regimes have lowest value less than radice_upr"
    if(error_msg /= "") return
    !
    ! Allocate Pade coefficients
    !
    allocate(this%pade_extliq(nbnd, nsizereg, ncoeff_ext),   &
             this%pade_ssaliq(nbnd, nsizereg, ncoeff_ssa_g), &
             this%pade_asyliq(nbnd, nsizereg, ncoeff_ssa_g), &
             this%pade_extice(nbnd, nsizereg, ncoeff_ext,   nrghice), &
             this%pade_ssaice(nbnd, nsizereg, ncoeff_ssa_g, nrghice), &
             this%pade_asyice(nbnd, nsizereg, ncoeff_ssa_g, nrghice))
    !
    ! Allocate Pade coefficient particle size regime boundaries
    !
    allocate(this%pade_sizreg_extliq(nbound), &
             this%pade_sizreg_ssaliq(nbound), &
             this%pade_sizreg_asyliq(nbound), &
             this%pade_sizreg_extice(nbound), &
             this%pade_sizreg_ssaice(nbound), &
             this%pade_sizreg_asyice(nbound))
    !$acc enter data create(this)                                                                       &
    !$acc            create(this%pade_extliq, this%pade_ssaliq, this%pade_asyliq)                       &
    !$acc            create(this%pade_extice, this%pade_ssaice, this%pade_asyice)                       &
    !$acc            create(this%pade_sizreg_extliq, this%pade_sizreg_ssaliq, this%pade_sizreg_asyliq)  &
    !$acc            create(this%pade_sizreg_extice, this%pade_sizreg_ssaice, this%pade_sizreg_asyice)
    !$omp target enter data &
    !$omp map(alloc:this%pade_extliq, this%pade_ssaliq, this%pade_asyliq) &
    !$omp map(alloc:this%pade_extice, this%pade_ssaice, this%pade_asyice) &
    !$omp map(alloc:this%pade_sizreg_extliq, this%pade_sizreg_ssaliq, this%pade_sizreg_asyliq) &
    !$omp map(alloc:this%pade_sizreg_extice, this%pade_sizreg_ssaice, this%pade_sizreg_asyice)
    !
    ! Load data
    !
    !$acc kernels
    !$omp target
    this%pade_extliq = pade_extliq
    this%pade_ssaliq = pade_ssaliq
    this%pade_asyliq = pade_asyliq
    this%pade_extice = pade_extice
    this%pade_ssaice = pade_ssaice
    this%pade_asyice = pade_asyice
    this%pade_sizreg_extliq = pade_sizreg_extliq
    this%pade_sizreg_ssaliq = pade_sizreg_ssaliq
    this%pade_sizreg_asyliq = pade_sizreg_asyliq
    this%pade_sizreg_extice = pade_sizreg_extice
    this%pade_sizreg_ssaice = pade_sizreg_ssaice
    this%pade_sizreg_asyice = pade_sizreg_asyice
    !$acc end kernels
    !$omp end target
    !
    ! Set default ice roughness - min values
    !
    error_msg = this%set_ice_roughness(1)
  end function load_pade
  !--------------------------------------------------------------------------------------------------------------------
  !
  ! Finalize
  !
  !--------------------------------------------------------------------------------------------------------------------
  subroutine finalize(this)
    class(ty_cloud_optics_rrtmgp), intent(inout) :: this

    this%radliq_lwr = 0._wp
    this%radliq_upr = 0._wp
    this%radice_lwr = 0._wp
    this%radice_upr = 0._wp

    ! Lookup table cloud optics coefficients
    if(allocated(this%lut_extliq)) then

      !$acc exit data delete(this%lut_extliq, this%lut_ssaliq, this%lut_asyliq)  &
      !$acc           delete(this%lut_extice, this%lut_ssaice, this%lut_asyice)  &
      !$acc           delete(this)
      !$omp target exit data map(release:this%lut_extliq, this%lut_ssaliq, this%lut_asyliq) &
      !$omp map(release:this%lut_extice, this%lut_ssaice, this%lut_asyice)


      deallocate(this%lut_extliq, this%lut_ssaliq, this%lut_asyliq, &
                 this%lut_extice, this%lut_ssaice, this%lut_asyice)
      this%liq_nsteps = 0
      this%ice_nsteps = 0
      this%liq_step_size = 0._wp
      this%ice_step_size = 0._wp
    end if

    ! Pade cloud optics coefficients
    if(allocated(this%pade_extliq)) then

      !$acc exit data delete(this%pade_extliq, this%pade_ssaliq, this%pade_asyliq)                       &
      !$acc           delete(this%pade_extice, this%pade_ssaice, this%pade_asyice)                       &
      !$acc           delete(this%pade_sizreg_extliq, this%pade_sizreg_ssaliq, this%pade_sizreg_asyliq)  &
      !$acc           delete(this%pade_sizreg_extice, this%pade_sizreg_ssaice, this%pade_sizreg_asyice)  &
      !$acc           delete(this)
      !$omp target exit data map(release:this%pade_extliq, this%pade_ssaliq, this%pade_asyliq) &
      !$omp map(release:this%pade_extice, this%pade_ssaice, this%pade_asyice) &
      !$omp map(release:this%pade_sizreg_extliq, this%pade_sizreg_ssaliq, this%pade_sizreg_asyliq) &
      !$omp map(release:this%pade_sizreg_extice, this%pade_sizreg_ssaice, this%pade_sizreg_asyice)

      deallocate(this%pade_extliq, this%pade_ssaliq, this%pade_asyliq, &
                 this%pade_extice, this%pade_ssaice, this%pade_asyice, &
                 this%pade_sizreg_extliq, this%pade_sizreg_ssaliq, this%pade_sizreg_asyliq, &
                 this%pade_sizreg_extice, this%pade_sizreg_ssaice, this%pade_sizreg_asyice)
    end if
  end subroutine finalize
  ! ------------------------------------------------------------------------------
  !
  ! Derive cloud optical properties from provided cloud physical properties
  !
  ! ------------------------------------------------------------------------------
  !
  ! Compute single-scattering properties
  !
  function cloud_optics(this, &
                        clwp, ciwp, reliq, reice, &
                        optical_props) result(error_msg)
    class(ty_cloud_optics_rrtmgp), &
              intent(in   ) :: this
    real(wp), intent(in   ) :: clwp  (:,:), &   ! cloud liquid water path (g/m2)
                               ciwp  (:,:), &   ! cloud ice water path    (g/m2)
                               reliq (:,:), &   ! cloud liquid particle effective size (microns)
                               reice (:,:)      ! cloud ice particle effective radius  (microns)
    class(ty_optical_props_arry), &
              intent(inout) :: optical_props
                                               ! Dimensions: (ncol,nlay,nbnd)

    character(len=128)      :: error_msg
    ! ------- Local -------
    logical(wl), dimension(size(clwp,1), size(clwp,2)) :: liqmsk, icemsk
    real(wp),    dimension(size(clwp,1), size(clwp,2), this%get_nband()) :: &
                ltau, ltaussa, ltaussag, itau, itaussa, itaussag
                ! Optical properties: tau, tau*ssa, tau*ssa*g
                ! liquid and ice separately
    integer  :: ncol, nlay, nbnd
    integer  :: nsizereg
    integer  :: icol, ilay, ibnd
    ! scalars for total tau, tau*ssa
    real(wp) :: tau, taussa
    ! ----------------------------------------
    !
    ! Error checking
    !
    ! ----------------------------------------

    error_msg = ''
    if(.not.(allocated(this%lut_extliq) .or. allocated(this%pade_extliq))) then
      error_msg = 'cloud optics: no data has been initialized'
      return
    end if

    ncol = size(clwp,1)
    nlay = size(clwp,2)
    nbnd = this%get_nband()
    !
    ! Array sizes
    !
    if (check_extents) then
      if(size(liqmsk,1) /= ncol .or. size(liqmsk,2) /= nlay) &
        error_msg = "cloud optics: liqmask has wrong extents"
      if(size(icemsk,1) /= ncol .or. size(icemsk,2) /= nlay) &
        error_msg = "cloud optics: icemsk has wrong extents"
      if(size(ciwp,  1) /= ncol .or. size(ciwp,  2) /= nlay) &
        error_msg = "cloud optics: ciwp has wrong extents"
      if(size(reliq, 1) /= ncol .or. size(reliq, 2) /= nlay) &
        error_msg = "cloud optics: reliq has wrong extents"
      if(size(reice, 1) /= ncol .or. size(reice, 2) /= nlay) &
        error_msg = "cloud optics: reice has wrong extents"
      if(optical_props%get_ncol() /= ncol .or. optical_props%get_nlay() /= nlay) &
        error_msg = "cloud optics: optical_props have wrong extents"
      if(error_msg /= "") return
    end if

    !
    ! Spectral consistency
    !
    if(check_values) then
      if(.not. this%bands_are_equal(optical_props)) &
        error_msg = "cloud optics: optical properties don't have the same band structure"
      if(optical_props%get_nband() /= optical_props%get_ngpt() ) &
        error_msg = "cloud optics: optical properties must be requested by band not g-points"
      if(error_msg /= "") return
    end if

    !$acc data copyin(clwp, ciwp, reliq, reice)                         &
    !$acc      create(ltau, ltaussa, ltaussag, itau, itaussa, itaussag) &
    !$acc      create(liqmsk,icemsk)
    !$omp target data map(to:clwp, ciwp, reliq, reice) &
    !$omp map(alloc:ltau, ltaussa, ltaussag, itau, itaussa, itaussag) &
    !$omp map(alloc:liqmsk, icemsk)
    !
    ! Cloud masks; don't need value re values if there's no cloud
    !
    !$acc parallel loop gang vector default(present) collapse(2)
    !$omp target teams distribute parallel do simd collapse(2)
    do ilay = 1, nlay
      do icol = 1, ncol
        liqmsk(icol,ilay) = clwp(icol,ilay) > 0._wp
        icemsk(icol,ilay) = ciwp(icol,ilay) > 0._wp
      end do
    end do

    !
    ! Particle size, liquid/ice water paths
    !
    if(check_values) then
      if(any_vals_outside(reliq, liqmsk, this%radliq_lwr, this%radliq_upr)) &
        error_msg = 'cloud optics: liquid effective radius is out of bounds'
      if(any_vals_outside(reice, icemsk, this%radice_lwr, this%radice_upr)) &
        error_msg = 'cloud optics: ice effective radius is out of bounds'
      if(any_vals_less_than(clwp, liqmsk, 0._wp) .or. any_vals_less_than(ciwp, icemsk, 0._wp)) &
        error_msg = 'cloud optics: negative clwp or ciwp where clouds are supposed to be'
    end if
    if(error_msg == "") then
      !
      !
      ! ----------------------------------------
      !
      ! The tables and Pade coefficients determing extinction coeffient, single-scattering albedo,
      !   and asymmetry parameter g as a function of effective raduis
      ! We compute the optical depth tau (=exintinction coeff * condensed water path)
      !   and the products tau*ssa and tau*ssa*g for liquid and ice cloud separately.
      ! These are used to determine the optical properties of ice and water cloud together.
      ! We could compute the properties for liquid and ice separately and
      !    use ty_optical_props_arry%increment but this involves substantially more division.
      !
      if (allocated(this%lut_extliq)) then
        !
        ! Liquid
        !
        call compute_all_from_table(ncol, nlay, nbnd, liqmsk, clwp, reliq,               &
                                    this%liq_nsteps,this%liq_step_size,this%radliq_lwr,  &
                                    this%lut_extliq, this%lut_ssaliq, this%lut_asyliq,   &
                                    ltau, ltaussa, ltaussag)
        !
        ! Ice
        !
        call compute_all_from_table(ncol, nlay, nbnd, icemsk, ciwp, reice, &
                                    this%ice_nsteps,this%ice_step_size,this%radice_lwr, &
                                    this%lut_extice(:,:,this%icergh),      &
                                    this%lut_ssaice(:,:,this%icergh),      &
                                    this%lut_asyice(:,:,this%icergh),      &
                                    itau, itaussa, itaussag)
      else
        !
        ! Cloud optical properties from Pade coefficient method
        !   Hard coded assumptions: order of approximants, three size regimes
        !
        nsizereg = size(this%pade_extliq,2)
        call compute_all_from_pade(ncol, nlay, nbnd, nsizereg, &
                                  liqmsk, clwp, reliq,        &
                                  2, 3, this%pade_sizreg_extliq, this%pade_extliq, &
                                  2, 2, this%pade_sizreg_ssaliq, this%pade_ssaliq, &
                                  2, 2, this%pade_sizreg_asyliq, this%pade_asyliq, &
                                  ltau, ltaussa, ltaussag)
        call compute_all_from_pade(ncol, nlay, nbnd, nsizereg, &
                                  icemsk, ciwp, reice,        &
                                  2, 3, this%pade_sizreg_extice, this%pade_extice(:,:,:,this%icergh), &
                                  2, 2, this%pade_sizreg_ssaice, this%pade_ssaice(:,:,:,this%icergh), &
                                  2, 2, this%pade_sizreg_asyice, this%pade_asyice(:,:,:,this%icergh), &
                                  itau, itaussa, itaussag)
      endif

      !
      ! Combine liquid and ice contributions into total cloud optical properties
      !   See also the increment routines in mo_optical_props_kernels
      !
      select type(optical_props)
      type is (ty_optical_props_1scl)
        !$acc parallel loop gang vector default(present) collapse(3) &
        !$acc               copyin(optical_props) copyout(optical_props%tau)
        !$omp target teams distribute parallel do simd collapse(3) &
        !$omp map(from:optical_props%tau)

        do ibnd = 1, nbnd
          do ilay = 1, nlay
            do icol = 1,ncol
              ! Absorption optical depth  = (1-ssa) * tau = tau - taussa
              optical_props%tau(icol,ilay,ibnd) = (ltau(icol,ilay,ibnd) - ltaussa(icol,ilay,ibnd)) + &
                                                  (itau(icol,ilay,ibnd) - itaussa(icol,ilay,ibnd))
            end do
          end do
        end do
      type is (ty_optical_props_2str)
        !$acc parallel loop gang vector default(present) collapse(3) &
        !$acc               copyin(optical_props) copyout(optical_props%tau, optical_props%ssa, optical_props%g)
        !$omp target teams distribute parallel do simd collapse(3) &
        !$omp map(from:optical_props%tau, optical_props%ssa, optical_props%g)
        do ibnd = 1, nbnd
          do ilay = 1, nlay
            do icol = 1,ncol
              tau    = ltau   (icol,ilay,ibnd) + itau   (icol,ilay,ibnd)
              taussa = ltaussa(icol,ilay,ibnd) + itaussa(icol,ilay,ibnd)
              optical_props%g  (icol,ilay,ibnd) = (ltaussag(icol,ilay,ibnd) + itaussag(icol,ilay,ibnd)) / &
                                                        max(epsilon(tau), taussa)
              optical_props%ssa(icol,ilay,ibnd) = taussa/max(epsilon(tau), tau)
              optical_props%tau(icol,ilay,ibnd) = tau
            end do
          end do
        end do
      type is (ty_optical_props_nstr)
        error_msg = "cloud optics: n-stream calculations not yet supported"
      end select
    end if
    !$acc end data
    !$omp end target data
  end function cloud_optics
  !--------------------------------------------------------------------------------------------------------------------
  !
  ! Inquiry functions
  !
  !--------------------------------------------------------------------------------------------------------------------
  function set_ice_roughness(this, icergh) result(error_msg)
    class(ty_cloud_optics_rrtmgp), intent(inout) :: this
    integer,                intent(in   ) :: icergh
    character(len=128)                    :: error_msg

    error_msg = ""
    if(.not. allocated(this%pade_extice) .and. .not. allocated(this%lut_extice )) &
      error_msg = "cloud_optics%set_ice_roughness(): can't set before initialization"
    if (icergh < 1 .or. icergh > this%get_num_ice_roughness_types()) &
       error_msg = 'cloud optics: cloud ice surface roughness flag is out of bounds'
    if(error_msg /= "") return

    this%icergh = icergh
  end function set_ice_roughness
  !-----------------------------------------------
  function get_num_ice_roughness_types(this) result(i)
    class(ty_cloud_optics_rrtmgp), intent(in   ) :: this
    integer                               :: i

    i = 0
    if(allocated(this%pade_extice)) i = size(this%pade_extice, dim=4)
    if(allocated(this%lut_extice )) i = size(this%lut_extice,  dim=3)
  end function get_num_ice_roughness_types
  !-----------------------------------------------
  function get_min_radius_liq(this) result(r)
    class(ty_cloud_optics_rrtmgp), intent(in   ) :: this
    real(wp)                              :: r

    r = this%radliq_lwr
  end function get_min_radius_liq
  !-----------------------------------------------
  function get_max_radius_liq(this) result(r)
    class(ty_cloud_optics_rrtmgp), intent(in   ) :: this
    real(wp)                              :: r

    r = this%radliq_upr
  end function get_max_radius_liq
  !-----------------------------------------------
  function get_min_radius_ice(this) result(r)
    class(ty_cloud_optics_rrtmgp), intent(in   ) :: this
    real(wp)                              :: r

    r = this%radice_lwr
  end function get_min_radius_ice
  !-----------------------------------------------
  function get_max_radius_ice(this) result(r)
    class(ty_cloud_optics_rrtmgp), intent(in   ) :: this
    real(wp)                              :: r

    r = this%radice_upr
  end function get_max_radius_ice
  !--------------------------------------------------------------------------------------------------------------------
  !
  ! Ancillary functions
  !
  !--------------------------------------------------------------------------------------------------------------------
  !
  ! Linearly interpolate values from a lookup table with "nsteps" evenly-spaced
  !   elements starting at "offset." The table's second dimension is band.
  ! Returns 0 where the mask is false.
  ! We could also try gather/scatter for efficiency
  !
  subroutine compute_all_from_table(ncol, nlay, nbnd, mask, lwp, re, &
                                    nsteps, step_size, offset,       &
                                    tau_table, ssa_table, asy_table, &
                                    tau, taussa, taussag)
    integer,                                intent(in) :: ncol, nlay, nbnd, nsteps
    logical(wl), dimension(ncol,nlay),      intent(in) :: mask
    real(wp),    dimension(ncol,nlay),      intent(in) :: lwp, re
    real(wp),                               intent(in) :: step_size, offset
    real(wp),    dimension(nsteps,   nbnd), intent(in) :: tau_table, ssa_table, asy_table
    real(wp),    dimension(ncol,nlay,nbnd)             :: tau, taussa, taussag
    ! ---------------------------
    integer  :: icol, ilay, ibnd
    integer  :: index
    real(wp) :: fint
    real(wp) :: t, ts  ! tau, tau*ssa, tau*ssa*g
    ! ---------------------------
    !$acc parallel loop gang vector default(present) collapse(3)
    !$omp target teams distribute parallel do simd collapse(3)
    do ibnd = 1, nbnd
      do ilay = 1,nlay
        do icol = 1, ncol
          if(mask(icol,ilay)) then
            index = min(floor((re(icol,ilay) - offset)/step_size)+1, nsteps-1)
            fint = (re(icol,ilay) - offset)/step_size - (index-1)
            t   = lwp(icol,ilay) * &
                  (tau_table(index,  ibnd) + fint * (tau_table(index+1,ibnd) - tau_table(index,ibnd)))
            ts  = t              * &
                  (ssa_table(index,  ibnd) + fint * (ssa_table(index+1,ibnd) - ssa_table(index,ibnd)))
            taussag(icol,ilay,ibnd) =  &
                  ts             * &
                  (asy_table(index,  ibnd) + fint * (asy_table(index+1,ibnd) - asy_table(index,ibnd)))
            taussa (icol,ilay,ibnd) = ts
            tau    (icol,ilay,ibnd) = t
          else
            tau    (icol,ilay,ibnd) = 0._wp
            taussa (icol,ilay,ibnd) = 0._wp
            taussag(icol,ilay,ibnd) = 0._wp
          end if
        end do
      end do
    end do
  end subroutine compute_all_from_table
  !
  ! Pade functions
  !
  !---------------------------------------------------------------------------
  subroutine compute_all_from_pade(ncol, nlay, nbnd, nsizes, &
                                   mask, lwp, re,            &
                                   m_ext, n_ext, re_bounds_ext, coeffs_ext, &
                                   m_ssa, n_ssa, re_bounds_ssa, coeffs_ssa, &
                                   m_asy, n_asy, re_bounds_asy, coeffs_asy, &
                                   tau, taussa, taussag)
    integer,                        intent(in) :: ncol, nlay, nbnd, nsizes
    logical(wl),  &
              dimension(ncol,nlay), intent(in) :: mask
    real(wp), dimension(ncol,nlay), intent(in) :: lwp, re
    real(wp), dimension(nsizes+1),  intent(in) :: re_bounds_ext, re_bounds_ssa, re_bounds_asy
    integer,                        intent(in) :: m_ext, n_ext
    real(wp), dimension(nbnd,nsizes,0:m_ext+n_ext), &
                                    intent(in) :: coeffs_ext
    integer,                        intent(in) :: m_ssa, n_ssa
    real(wp), dimension(nbnd,nsizes,0:m_ssa+n_ssa), &
                                    intent(in) :: coeffs_ssa
    integer,                        intent(in) :: m_asy, n_asy
    real(wp), dimension(nbnd,nsizes,0:m_asy+n_asy), &
                                    intent(in) :: coeffs_asy
    real(wp), dimension(ncol,nlay,nbnd)        :: tau, taussa, taussag
    ! ---------------------------
    integer  :: icol, ilay, ibnd, irad
    real(wp) :: t, ts

    !$acc parallel loop gang vector default(present) collapse(3)
    !$omp target teams distribute parallel do simd collapse(3)
    do ibnd = 1, nbnd
      do ilay = 1, nlay
        do icol = 1, ncol
          if(mask(icol,ilay)) then
            !
            ! Finds index into size regime table
            ! This works only if there are precisely three size regimes (four bounds) and it's
            !   previously guaranteed that size_bounds(1) <= size <= size_bounds(4)
            !
            irad = min(floor((re(icol,ilay) - re_bounds_ext(2))/re_bounds_ext(3))+2, 3)
            t   = lwp(icol,ilay) *     &
                  pade_eval(ibnd, nbnd, nsizes, m_ext, n_ext, irad, re(icol,ilay), coeffs_ext)

            irad = min(floor((re(icol,ilay) - re_bounds_ssa(2))/re_bounds_ssa(3))+2, 3)
            ! Pade approximants for co-albedo can sometimes be negative
            ts  = t              * (1._wp - max(0._wp, &
                  pade_eval(ibnd, nbnd, nsizes, m_ssa, n_ssa, irad, re(icol,ilay), coeffs_ssa)))

            irad = min(floor((re(icol,ilay) - re_bounds_asy(2))/re_bounds_asy(3))+2, 3)
            taussag(icol,ilay,ibnd) =  &
                  ts             *     &
                  pade_eval(ibnd, nbnd, nsizes, m_asy, n_asy, irad, re(icol,ilay), coeffs_asy)

            taussa (icol,ilay,ibnd) = ts
            tau    (icol,ilay,ibnd) = t
          else
            tau    (icol,ilay,ibnd) = 0._wp
            taussa (icol,ilay,ibnd) = 0._wp
            taussag(icol,ilay,ibnd) = 0._wp
          end if
        end do
      end do
    end do

  end subroutine compute_all_from_pade
  !---------------------------------------------------------------------------
  !
  ! Evaluate Pade approximant of order [m/n]
  !
  function pade_eval_nbnd(nbnd, nrads, m, n, irad, re, pade_coeffs)
    integer,                intent(in) :: nbnd, nrads, m, n, irad
    real(wp), dimension(nbnd, nrads, 0:m+n), &
                            intent(in) :: pade_coeffs
    real(wp),               intent(in) :: re
    real(wp), dimension(nbnd)          :: pade_eval_nbnd

    integer :: iband
    real(wp) :: numer, denom
    integer  :: i

    do iband = 1, nbnd
      denom = pade_coeffs(iband,irad,n+m)
      do i = n-1+m, 1+m, -1
        denom = pade_coeffs(iband,irad,i)+re*denom
      end do
      denom =  1._wp                     +re*denom

      numer = pade_coeffs(iband,irad,m)
      do i = m-1, 1, -1
        numer = pade_coeffs(iband,irad,i)+re*numer
      end do
      numer = pade_coeffs(iband,irad,0)  +re*numer

      pade_eval_nbnd(iband) = numer/denom
    end do
  end function pade_eval_nbnd
  !---------------------------------------------------------------------------
  !
  ! Evaluate Pade approximant of order [m/n]
  !
  function pade_eval_1(iband, nbnd, nrads, m, n, irad, re, pade_coeffs)
    !$acc routine seq
    !$omp declare target
    !
    integer,                intent(in) :: iband, nbnd, nrads, m, n, irad
    real(wp), dimension(nbnd, nrads, 0:m+n), &
                            intent(in) :: pade_coeffs
    real(wp),               intent(in) :: re
    real(wp)                           :: pade_eval_1

    real(wp) :: numer, denom
    integer  :: i

    denom = pade_coeffs(iband,irad,n+m)
    do i = n-1+m, 1+m, -1
      denom = pade_coeffs(iband,irad,i)+re*denom
    end do
    denom =  1._wp                     +re*denom

    numer = pade_coeffs(iband,irad,m)
    do i = m-1, 1, -1
      numer = pade_coeffs(iband,irad,i)+re*numer
    end do
    numer = pade_coeffs(iband,irad,0)  +re*numer

    pade_eval_1 = numer/denom
  end function pade_eval_1
end module mo_cloud_optics_rrtmgp