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!MNH_LIC Copyright 2004-2018 CNRS, Meteo-France and Universite Paul Sabatier
!MNH_LIC This is part of the Meso-NH software governed by the CeCILL-C licence
!MNH_LIC version 1. See LICENSE, CeCILL-C_V1-en.txt and CeCILL-C_V1-fr.txt  
!MNH_LIC for details. version 1.
!-----------------------------------------------------------------
!     ######spl
       MODULE MODI_RADAR_SCATTERING 
!      #############################
!
INTERFACE
    SUBROUTINE RADAR_SCATTERING(PT_RAY,PRHODREF_RAY,PR_RAY,PI_RAY,PCIT_RAY,PS_RAY,PG_RAY,PVDOP_RAY, &
   PELEV,PX_H,PX_V,PW_H,PW_V,PZE,PBU_MASK_RAY,PCR_RAY)
REAL, DIMENSION(:,:,:,:,:,:),INTENT(IN)  :: PT_RAY ! temperature interpolated along the rays
REAL, DIMENSION(:,:,:,:,:,:),INTENT(IN)  :: PRHODREF_RAY ! 
REAL, DIMENSION(:,:,:,:,:,:),INTENT(IN)  :: PR_RAY  ! rainwater mixing ratio interpolated along the rays
REAL, DIMENSION(:,:,:,:,:,:),INTENT(IN)  :: PI_RAY  ! pristine ice mixing ratio interpolated along the rays
REAL, DIMENSION(:,:,:,:,:,:), INTENT(IN) :: PCIT_RAY  ! pristine ice concentration interpolated along the rays
REAL, DIMENSION(:,:,:,:,:,:), INTENT(IN) :: PS_RAY !aggregates mixing ratio interpolated along the rays
REAL, DIMENSION(:,:,:,:,:,:), INTENT(IN) :: PG_RAY  ! graupel         mixing ratio interpolated along the rays
REAL, DIMENSION(:,:,:,:,:,:), INTENT(IN) :: PVDOP_RAY !Doppler radial velocity interpolated along the rays
REAL, DIMENSION(:,:,:,:),     INTENT(IN) :: PELEV ! elevation
REAL, DIMENSION(:),           INTENT(IN) :: PX_H ! Gaussian horizontal nodes
REAL, DIMENSION(:),           INTENT(IN) :: PX_V ! Gaussian vertical nodes
REAL, DIMENSION(:),           INTENT(IN) :: PW_H ! Gaussian horizontal weights
REAL, DIMENSION(:),           INTENT(IN) :: PW_V ! Gaussian vertical weights
REAL,DIMENSION(:,:,:,:,:),    INTENT(INOUT) :: PZE ! 5D matrix (iradar, ielev, iaz, irangestep, ivar) containing the radar variables that will be calculated
!in polar or cartesian projection (same projection as the observation grid)
! convective/stratiform
REAL, DIMENSION(:,:,:,:,:,:),INTENT(INOUT) :: PBU_MASK_RAY
REAL, DIMENSION(:,:,:,:,:,:),OPTIONAL,INTENT(IN)  :: PCR_RAY  ! rainwater mixing ratio interpolated along the rays
    END SUBROUTINE RADAR_SCATTERING
END INTERFACE
END MODULE MODI_RADAR_SCATTERING
!
!     ######spl
       SUBROUTINE RADAR_SCATTERING(PT_RAY,PRHODREF_RAY,PR_RAY,PI_RAY,PCIT_RAY, &
            PS_RAY,PG_RAY,PVDOP_RAY,PELEV,PX_H,PX_V,PW_H,PW_V,PZE,PBU_MASK_RAY,PCR_RAY)
!     ##############################
!
!!****  *RADAR_SCATTERING* - computes radar reflectivities.
!!
!!    PURPOSE
!!    -------
!!      Compute equivalent reflectivities of a mixed phase cloud.
!!
!!**  METHOD
!!    ------
!!      The reflectivities are computed using the n(D) * sigma(D) formula. The 
!!    equivalent reflectiviy is the sum of the reflectivity produced by the
!!    the raindrops and the equivalent reflectivities of the ice crystals.
!!    The latter are computed using the mass-equivalent diameter.
!!    Four types of diffusion are possible : Rayleigh, Mie, T-matrix, and
!!    Rayleigh-Gans (Kerker, 1969, Chap. 10; Battan, 1973, Sec. 5.4; van de
!!    Hulst, 1981, Sec. 6.32; Doviak and Zrnic, 1993, p. 249; Bringi and 
!!    Chandrasekar, 2001, Chap. 2).
!!    The integration over diameters for Mie and T-matrix methods is done by
!!    using Gauss-Laguerre quadrature (Press et al. 1986). Attenuation is taken
!!    into account by computing the extinction efficiency and correcting 
!!    reflectivities along the beam path.
!!    Gaussian quadrature methods are used to model the beam broadening (Gauss-
!!    Hermite or Gauss-Legendre, see Press et al. 1986).
!!      
!!
!!    EXTERNAL
!!    --------
!!
!!    IMPLICIT ARGUMENTS
!!    ------------------
!!      Module MODD_CST
!!        XLIGHTSPEED
!!        XPI
!!      Module MODD_ARF
!!
!!    REFERENCE
!!    ---------
!!      Press, W. H., B. P. Flannery, S. A. Teukolsky et W. T. Vetterling, 1986: 
!!    Numerical Recipes: The Art of Scientific Computing. Cambridge University 
!!    Press, 818 pp.
!!      Probert-Jones, J. R., 1962 : The radar equation in meteorology. Quart. 
!!    J. Roy. Meteor. Soc., 88, 485-495.
!!
!!    AUTHOR
!!    ------
!!      O. Caumont & V. Ducrocq      * Meteo-France *
!!
!!    MODIFICATIONS
!!    -------------
!!      Original   26/03/2004 
!!      O. Caumont 09/09/2009 minor changes to compute radial velocities when no
!!                              hydrometeors so as to emulate wind lidar
!!      O. Caumont 21/12/2009 correction of bugs to compute KDP.
!!      O. Caumont 11/02/2010 thresholding and conversion from linear to 
!!          log values after interpolation instead of before.
!!      G.Tanguy 25/03/2010 Introduction of MODD_TMAT and ALLOCATE/DEALLOCATE
!!      C.Augros  2014 New simulator for T matrice
!!      G.Delautier 10/2014 : Mise a jour simulateur T-matrice pour LIMA
!!  Philippe Wautelet: 05/2016-04/2018: new data structures and calls for I/O
!-------------------------------------------------------------------------------
!
!*       0.    DECLARATIONS
!              ------------
!
USE MODD_CST
USE MODD_LUNIT
USE MODD_PARAMETERS
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USE MODD_PARAM_LIMA_WARM, ONLY: XDR_L=>XDR,XLBEXR_L=>XLBEXR,XLBR_L=>XLBR,XBR_L=>XBR,XCR_L=>XCR
USE MODD_PARAM_LIMA_COLD, ONLY: XDI_L=>XDI,XLBEXI_L=>XLBEXI,XLBI_L=>XLBI,XAI_L=>XAI,XBI_L=>XBI,XC_I_L=>XC_I,&
                                XDS_L=>XDS,XLBEXS_L=>XLBEXS,XLBS_L=>XLBS,XCCS_L=>XCCS,XAS_L=>XAS,XBS_L=>XBS,XCXS_L=>XCXS,XCS_L=>XCS

USE MODD_PARAM_LIMA_MIXED, ONLY:XDG_L=>XDG,XLBEXG_L=>XLBEXG,XLBG_L=>XLBG,XCCG_L=>XCCG,XAG_L=>XAG,XBG_L=>XBG,XCXG_L=>XCXG,XCG_L=>XCG
USE MODD_PARAM_LIMA, ONLY: XALPHAR_L=>XALPHAR,XNUR_L=>XNUR,XALPHAS_L=>XALPHAS,XNUS_L=>XNUS,&
                           XALPHAG_L=>XALPHAG,XNUG_L=>XNUG, XALPHAI_L=>XALPHAI,XNUI_L=>XNUI,&
                           XRTMIN_L=>XRTMIN
USE MODD_RADAR, ONLY:XLAM_RAD,XSTEP_RAD,NBELEV,NDIFF,LATT,NPTS_GAULAG,LQUAD,XVALGROUND,NDGS, &
     LFALL,LWBSCS,LWREFL,XREFLVDOPMIN,XREFLMIN,LSNRT,XSNRMIN
USE MODD_RAIN_ICE_DESCR, ONLY: XALPHAR_I=>XALPHAR,XNUR_I=>XNUR,XDR_I=>XDR,XLBEXR_I=>XLBEXR,&
                               XLBR_I=>XLBR,XCCR_I=>XCCR,XBR_I=>XBR,XCR_I=>XCR,&
                               XALPHAS_I=>XALPHAS,XNUS_I=>XNUS,XDS_I=>XDS,XLBEXS_I=>XLBEXS,&
                               XLBS_I=>XLBS,XCCS_I=>XCCS,XAS_I=>XAS,XBS_I=>XBS,XCXS_I=>XCXS,XCS_I=>XCS,&
                               XALPHAG_I=>XALPHAG,XNUG_I=>XNUG,XDG_I=>XDG,XLBEXG_I=>XLBEXG,&
                               XLBG_I=>XLBG,XCCG_I=>XCCG,XAG_I=>XAG,XBG_I=>XBG,XCXG_I=>XCXG,XCG_I=>XCG,&
                               XALPHAI_I=>XALPHAI,XNUI_I=>XNUI,XDI_I=>XDI,XLBEXI_I=>XLBEXI,&
                               XLBI_I=>XLBI,XAI_I=>XAI,XBI_I=>XBI,XC_I_I=>XC_I,&
                               XRTMIN_I=>XRTMIN
USE MODD_TMAT
! 
USE MODE_ARF
USE MODE_FGAU , ONLY:GAULAG
USE MODE_FM,               ONLY: IO_FILE_CLOSE_ll,IO_FILE_OPEN_ll
USE MODE_FSCATTER
USE MODE_MSG
USE MODI_GAMMA, ONLY:GAMMA
IMPLICIT NONE
!
!*       0.1   Declarations of dummy arguments :
!
!
REAL,DIMENSION(:,:,:,:,:,:), INTENT(IN) :: PT_RAY ! temperature interpolated along the rays
REAL,DIMENSION(:,:,:,:,:,:), INTENT(IN) :: PRHODREF_RAY ! 
REAL,DIMENSION(:,:,:,:,:,:), INTENT(IN) :: PR_RAY   ! rainwater mixing ratio interpolated along the rays
REAL,DIMENSION(:,:,:,:,:,:), INTENT(IN) :: PI_RAY   ! pristine ice mixing ratio interpolated along the rays
REAL,DIMENSION(:,:,:,:,:,:), INTENT(IN) :: PCIT_RAY !pristine ice concentration interpolated along the rays
REAL,DIMENSION(:,:,:,:,:,:), INTENT(IN) :: PS_RAY !aggregates mixing ratio interpolated along the rays
REAL,DIMENSION(:,:,:,:,:,:), INTENT(IN) :: PG_RAY   ! graupel mixing ratio interpolated along the rays
REAL,DIMENSION(:,:,:,:,:,:), INTENT(IN) :: PVDOP_RAY !Doppler radial velocity interpolated along the rays
REAL,DIMENSION(:,:,:,:),     INTENT(IN) :: PELEV ! elevation
REAL,DIMENSION(:),           INTENT(IN) :: PX_H ! Gaussian horizontal nodes
REAL,DIMENSION(:),           INTENT(IN) :: PX_V ! Gaussian vertical nodes
REAL,DIMENSION(:),           INTENT(IN) :: PW_H ! Gaussian horizontal weights
REAL,DIMENSION(:),           INTENT(IN) :: PW_V ! Gaussian vertical weights
REAL,DIMENSION(:,:,:,:,:),   INTENT(INOUT) :: PZE ! gate equivalent reflectivity factor (horizontal & vertical)
! convective/stratiform
REAL,DIMENSION(:,:,:,:,:,:),INTENT(INOUT) :: PBU_MASK_RAY
! /convective/stratiform
REAL, DIMENSION(:,:,:,:,:,:),OPTIONAL,INTENT(IN)  :: PCR_RAY  ! rainwater mixing ratio interpolated along the rays
!
!*       0.2   Declarations of local variables :
!
REAL,   DIMENSION(:,:,:,:,:,:,:),ALLOCATABLE :: ZREFL
!1: ZHH (dBZ), 2: ZDR, 3: KDP, 4: CSR (0 pr air clair, 1 pour stratiforme, 2 pour convectif)
!5-8: ZER, ZEI, ZES,ZEG
!9 : VRU (vitesse radiale)
!10-13 : AER, AEI, AES, AEG
!14-17: ATR, ATI, ATS, ATG
!18-20: RhoHV, PhiDP, DeltaHV

REAL,   DIMENSION(:,:,:,:,:,:,:),ALLOCATABLE :: ZAELOC ! local attenuation
REAL,   DIMENSION(:,:,:),ALLOCATABLE :: ZAETOT ! 1: total attenuation, 2: // vertical
REAL :: ZAERINT,ZAEIINT,ZAESINT,ZAEGINT ! total attenuation horizontal
REAL :: ZAVRINT,ZAVSINT,ZAVGINT ! total attenuation vertical 
!
REAL,DIMENSION(:),ALLOCATABLE :: ZX,ZW ! Gauss-Laguerre points and weights
!
REAL,DIMENSION(4) :: ZREFLOC
REAL,DIMENSION(2) :: ZAETMP
REAL,DIMENSION(:),ALLOCATABLE :: ZVTEMP ! temp var for Gaussian quadrature 8 : r_r, 9 : r_i, 10 : r_s , 11 : r_g
REAL :: ZCXR=-1.0   ! for rain N ~ 1/N_0 (in Kessler parameterization)
REAL :: ZDMELT_FACT ! factor used to compute the equivalent melted diameter
REAL :: ZEQICE=0.224! factor used to convert the ice crystals reflectivity into an equivalent  liquid water reflectivity (from Smith, JCAM 84)
REAL :: ZEXP        ! anciliary parameter
REAL :: ZLBDA   ! slope distribution parameter
REAL :: ZFRAC_ICE,ZD,ZDE ! auxiliary variables
REAL :: ZQSCA
REAL,DIMENSION(2) :: ZQEXT
REAL,DIMENSION(3) :: ZQBACK ! Q_b(HH),Q_b(VV) (backscattering efficiencies at horizontal and vertical polarizations, resp.)
!REAL :: P=DACOS(-1D0)
REAL :: ZRHOI ! pristine ice density (from m=a*D**b), 
REAL :: ZRHOPI=916. !pure ice density (kg/m3)
COMPLEX :: ZNUM, ZDEN !for calculation of ice dielectri cconstant
COMPLEX  :: ZQM,ZQMW,ZQMI,ZQK,ZQB, ZEPSI ! dielectric parameters
REAL :: ZS11_CARRE_R,ZS22_CARRE_R,ZRE_S22S11_R,ZIM_S22S11_R
REAL :: ZS11_CARRE_I,ZS22_CARRE_I,ZRE_S22S11_I,ZIM_S22S11_I
REAL :: ZS11_CARRE_S,ZS22_CARRE_S,ZRE_S22S11_S,ZIM_S22S11_S
REAL :: ZS11_CARRE_G,ZS22_CARRE_G,ZRE_S22S11_G,ZIM_S22S11_G
REAL :: ZS11_CARRE_T,ZS22_CARRE_T,ZRE_S22S11_T,ZIM_S22S11_T
REAL :: ZRE_S22FMS11F,ZIM_S22FT,ZIM_S11FT 

REAL :: ZM
!
INTEGER  :: INBRAD,IIELV,INBAZIM,INBSTEPMAX,INPTS_H,INPTS_V ! sizes of the arrays
INTEGER  :: IEL
INTEGER  :: JI,JL,JEL,JAZ,JH,JV,JJ,JT ! Loop variables of control
REAL :: ZLB ! depolarization factor along the spheroid symmetry axis
REAL :: ZCXI=0. ! should be defined with other parameters of microphysical scheme
REAL :: ZCR,ZCI,ZCS,ZCG ! coefficients to take into account fall speeds when simulating Doppler winds
REAL, DIMENSION(:,:,:,:),ALLOCATABLE :: ZCONC_BIN
INTEGER :: IVDOP,IMAX,IRHOHV,IPHIDP,IDELTAHV
INTEGER :: IRHR,IRHS,IRHG,IZDA,IZDS,IZDG,IKDR,IKDS,IKDG
LOGICAL :: LPART_MASK ! indicates a partial mask along the beam
INTEGER,PARAMETER :: IZER=5,IZEI=6,IZES=7,IZEG=8
INTEGER,PARAMETER :: IAER=10,IAEI=11,IAES=12,IAEG=13
INTEGER,PARAMETER :: IAVR=14,IAVI=15,IAVS=16,IAVG=17
INTEGER,PARAMETER :: IATR=18,IATI=19,IATS=20,IATG=21

!for ZSNR threshold
REAL ::ZDISTRAD,ZSNR,ZSNR_R,ZSNR_S,ZSNR_I,ZSNR_G,ZZHH,ZZE_R,ZZE_I,ZZE_S,ZZE_G
LOGICAL :: GTHRESHOLD_V, GTHRESHOLD_Z,GTHRESHOLD_ZR,GTHRESHOLD_ZI,GTHRESHOLD_ZS,GTHRESHOLD_ZG

!--------- TO READ T-MATRIX TABLE --------
CHARACTER(LEN=6) :: YBAND
CHARACTER(LEN=1) ::YTYPE
CHARACTER(LEN=1),DIMENSION(4) :: YTAB_TYPE
CHARACTER(LEN=25),DIMENSION(4) :: YFILE_COEFINT

REAL,DIMENSION(4) :: ZELEV_MIN,ZELEV_MAX,ZELEV_STEP,&
ZTC_MIN,ZTC_MAX,ZTC_STEP,ZFW_MIN,ZFW_MAX,ZFW_STEP
INTEGER :: IRESP,ILINE,INB_M
INTEGER,DIMENSION(4) :: INB_ELEV,INB_TC,INB_FW,INB_LINE

REAL, DIMENSION(:),ALLOCATABLE :: ZTC_T_R,        ZTC_T_S,        ZTC_T_G,        ZTC_T_W
REAL, DIMENSION(:),ALLOCATABLE :: ZELEV_T_R,      ZELEV_T_S,      ZELEV_T_G,      ZELEV_T_W
REAL, DIMENSION(:),ALLOCATABLE ::                 ZFW_T_S,        ZFW_T_G,        ZFW_T_W
REAL, DIMENSION(:),ALLOCATABLE :: ZM_T_R,         ZM_T_S,         ZM_T_G,         ZM_T_W
REAL, DIMENSION(:),ALLOCATABLE :: ZS11_CARRE_T_R, ZS11_CARRE_T_S, ZS11_CARRE_T_G, ZS11_CARRE_T_W
REAL, DIMENSION(:),ALLOCATABLE :: ZS22_CARRE_T_R, ZS22_CARRE_T_S, ZS22_CARRE_T_G, ZS22_CARRE_T_W
REAL, DIMENSION(:),ALLOCATABLE :: ZRE_S22S11_T_R, ZRE_S22S11_T_S, ZRE_S22S11_T_G, ZRE_S22S11_T_W
REAL, DIMENSION(:),ALLOCATABLE :: ZIM_S22S11_T_R, ZIM_S22S11_T_S, ZIM_S22S11_T_G, ZIM_S22S11_T_W
REAL, DIMENSION(:),ALLOCATABLE :: ZIM_S22FT_T_R,  ZIM_S22FT_T_S,  ZIM_S22FT_T_G,  ZIM_S22FT_T_W
REAL, DIMENSION(:),ALLOCATABLE :: ZIM_S11FT_T_R,  ZIM_S11FT_T_S,  ZIM_S11FT_T_G,  ZIM_S11FT_T_W
REAL, DIMENSION(:),ALLOCATABLE :: ZRE_S22FMS11FT_T_R, ZRE_S22FMS11FT_T_S, ZRE_S22FMS11FT_T_G, ZRE_S22FMS11FT_T_W

INTEGER,DIMENSION(16):: ITMAT
REAL:: ZELEV_RED,ZTC_RED,ZM_RED,ZFW_RED
INTEGER :: JIND
REAL,DIMENSION(7,16) :: KMAT_COEF !matrice contenant tous les coef interpolés
                                !pour chaque val inf et sup de ELEV_t
REAL :: ZEXPM_MIN, ZEXPM_STEP, ZEXPM_MAX,ZM_MIN
REAL :: ZFW !water fraction inside melting graupel (ZFW=0 for rain, snow and dry graupel). used only with NDIFF=7: Tmatrix
INTEGER :: ILUOUT0,IUNIT
!
! MODIF GAELLE POUR LIMA
LOGICAL :: GLIMA
REAL,DIMENSION(4) :: ZCC_MIN,ZCC_MAX, ZCC_STEP
INTEGER,DIMENSION(4):: INB_CC
REAL, DIMENSION(:),ALLOCATABLE :: ZCC_T_R
REAL :: ZCC_RED
LOGICAL :: GCALC
REAL :: ZCC
REAL,   DIMENSION(:,:,:,:,:,:),ALLOCATABLE :: ZM_6D,ZCC_6D
REAL :: ZC
!
REAL ::  ZCCR,ZLBR,ZLBEXR,ZDR,ZALPHAR,ZNUR,ZBR
REAL ::  ZCCS,ZLBS,ZLBEXS,ZDS,ZALPHAS,ZNUS,ZAS,ZBS,ZCXS
REAL ::  ZCCG,ZLBG,ZLBEXG,ZDG,ZALPHAG,ZNUG,ZAG,ZBG,ZCXG
REAL ::       ZLBI,ZLBEXI,ZDI,ZALPHAI,ZNUI,ZAI,ZBI
REAL,DIMENSION(:),ALLOCATABLE :: ZRTMIN
CHARACTER(LEN=100) :: YMSG
!
!*       1.     INITIALISATION 
ILUOUT0 = TLUOUT0%NLU
! 
IF (PRESENT(PCR_RAY)) THEN
  GLIMA=.TRUE.
ELSE
  GLIMA=.FALSE.
ENDIF
!
!
!
  ZS11_CARRE_R=0
  ZS22_CARRE_R=0
  ZRE_S22S11_R=0
  ZIM_S22S11_R=0
  ZS11_CARRE_I=0
  ZS22_CARRE_I=0
  ZRE_S22S11_I=0
  ZIM_S22S11_I=0
  ZS11_CARRE_S=0
  ZS22_CARRE_S=0
  ZRE_S22S11_S=0
  ZIM_S22S11_S=0
  ZS11_CARRE_G=0
  ZS22_CARRE_G=0
  ZRE_S22S11_G=0
  ZIM_S22S11_G=0
! Initialisation varibales microphysiques
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IF (GLIMA) THEN ! LIMA
  ZLBR=XLBR_L
  ZLBEXR=XLBEXR_L
  ZDR=XDR_L
  ZALPHAR=XALPHAR_L
  ZNUR=XNUR_L
  ZBR=XBR_L
  ZCCS=XCCS_L
  ZCXS=XCXS_L
  ZLBS=XLBS_L
  ZLBEXS=XLBEXS_L
  ZDS=XDS_L
  ZALPHAS=XALPHAS_L
  ZNUS=XNUS_L
  ZAS=XAS_L
  ZBS=XBS_L
  ZCCG=XCCG_L
  ZCXG=XCXG_L
  ZLBG=XLBG_L
  ZLBEXG=XLBEXG_L
  ZDG=XDG_L
  ZALPHAG=XALPHAG_L
  ZNUG=XNUG_L
  ZAG=XAG_L
  ZBG=XBG_L
  ZLBI=XLBI_L
  ZLBEXI=XLBEXI_L
  ZDI=XDI_L
  ZALPHAI=XALPHAI_L
  ZNUI=XNUI_L
  ZAI=XAI_L
  ZBI=XBI_L
  ALLOCATE(ZRTMIN(SIZE(XRTMIN_L)))
  ZRTMIN=XRTMIN_L
ELSE ! ICE3
  ZCCR=XCCR_I
  ZLBR=XLBR_I
  ZLBEXR=XLBEXR_I
  ZDR=XDR_I
  ZALPHAR=XALPHAR_I
  ZNUR=XNUR_I
  ZBR=XBR_I
  ZCCS=XCCS_I
  ZCXS=XCXS_I
  ZLBS=XLBS_I
  ZLBEXS=XLBEXS_I
  ZDS=XDS_I
  ZALPHAS=XALPHAS_I
  ZNUS=XNUS_I
  ZAS=XAS_I
  ZBS=XBS_I
  ZCCG=XCCG_I
  ZCXG=XCXG_I
  ZLBG=XLBG_I
  ZLBEXG=XLBEXG_I
  ZDG=XDG_I
  ZALPHAG=XALPHAG_I
  ZNUG=XNUG_I
  ZAG=XAG_I
  ZBG=XBG_I
  ZLBI=XLBI_I
  ZLBEXI=XLBEXI_I
  ZDI=XDI_I
  ZALPHAI=XALPHAI_I
  ZNUI=XNUI_I
  ZAI=XAI_I
  ZBI=XBI_I
  ALLOCATE(ZRTMIN(SIZE(XRTMIN_I)))
  ZRTMIN=XRTMIN_I
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ENDIF
IF (LATT) THEN
  IRHOHV=22 !au lieu de 18:
            !"ZHH","ZDR","KDP","CSR","ZER","ZEI","ZES","ZEG","VRU"
            !"AER","AEI","AES","AEG","AVR","AVI","AVS","AVG","ATR","ATI","ATS","ATG"
ELSE
  IRHOHV=10
END IF
IPHIDP=IRHOHV+1
IDELTAHV=IPHIDP+1
IRHR=IDELTAHV+1
IRHS=IRHR+1
IRHG=IRHS+1
IZDA=IRHG+1
IZDS=IZDA+1
IZDG=IZDS+1
IKDR=IZDG+1
IKDS=IKDR+1
IKDG=IKDS+1

INBRAD=SIZE(PT_RAY,1)
IIELV=SIZE(PT_RAY,2)
INBAZIM=SIZE(PT_RAY,3)
INBSTEPMAX=SIZE(PT_RAY,4)
INPTS_H=SIZE(PT_RAY,5)
INPTS_V=SIZE(PT_RAY,6)
!
! Initialisation for radial winds
IF(LFALL) THEN
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  IF (GLIMA) THEN
    ZCR=XCR_L
    ZCI=XC_I_L
    ZCS=XCS_L
    ZCG=XCG_L
  ELSE
    ZCR=XCR_I 
    ZCI=XC_I_I
    ZCS=XCS_I
    ZCG=XCG_I
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  ENDIF
! Calculation of nodes and weights for the Gauss-Laguerre quadrature
! for Mie and T-matrix and RG
IF(NDIFF/=0) THEN
  ALLOCATE(ZX(NPTS_GAULAG),ZW(NPTS_GAULAG)) !NPTS_GAULAG : number of points for the quadrature
  CALL GAULAG(NPTS_GAULAG,ZX,ZW)
IVDOP=9 !index of Doppler Velocity (VRU) in ZREFL
IMAX=SIZE(PZE,5)
WRITE(ILUOUT0,*) "-----------------"
WRITE(ILUOUT0,*) "Radar scattering"
WRITE(ILUOUT0,*) "-----------------"
WRITE(ILUOUT0,*) 'Nombre de variables dans PZE: ',IMAX

IF(.NOT.LWREFL) IMAX=IMAX+1
ALLOCATE(ZREFL(INBRAD,IIELV,INBAZIM,INBSTEPMAX,INPTS_H,INPTS_V,IMAX))
ZREFL(:,:,:,:,:,:,:)=0.
IF(LATT) THEN
  ZREFL(:,:,:,:,:,:,IATR:IATG)=1.
END IF
PZE(:,:,:,:,:)=0.
IF (LATT)THEN
  ALLOCATE(ZAELOC(INBRAD,IIELV,INBAZIM,INBSTEPMAX,INPTS_H,INPTS_V,2))
  ALLOCATE(ZAETOT(INPTS_H,INPTS_V,2))
  ZAELOC(:,:,:,:,:,:,:)=0. ! initialization of attenuation stuff (alpha_e for first gate)
  ZAETOT(:,:,:)=1. ! initialization of attenuation stuff (total attenuation)
WRITE(ILUOUT0,*) 'BEFORE LOOP DIFFUSION'
  ALLOCATE(ZCONC_BIN(INBRAD,IIELV,INBAZIM,INBSTEPMAX))
  ZCONC_BIN(:,:,:,:)=0.
WRITE(ILUOUT0,*) "XCCR:",ZCCR
WRITE(ILUOUT0,*) "XLBR:",ZLBR
WRITE(ILUOUT0,*) "XLBEXR:",ZLBEXR

WRITE(ILUOUT0,*) "XCCS:",ZCCS
WRITE(ILUOUT0,*) "XLBS:",ZLBS
WRITE(ILUOUT0,*) "XLBEXS:",ZLBEXS

WRITE(ILUOUT0,*) "XCCG:",ZCCG
WRITE(ILUOUT0,*) "XLBG:",ZLBG
WRITE(ILUOUT0,*) "XLBEXG:",ZLBEXG

IF (GLIMA .AND. NDIFF==7) THEN
  IF (ZALPHAR/=1 .AND. ZNUR /=2.) THEN
    WRITE(ILUOUT0,*) " ERROR : TMATRICE TABLE ARE MADE WITH XALPHAR=1 XNUR=2"
    WRITE(ILUOUT0,*) " FOR CCLOUD=LIMA. PLEASE CHANGE THIS VALUES OR PROVIDE "
    WRITE(ILUOUT0,*) " NEW TMATRICE TABLES "
    CALL PRINT_MSG(NVERB_FATAL,'GEN','RADAR_SCATTERING','')
  ENDIF
ELSE
  IF (ZALPHAR/=1 .AND. ZNUR /=1.) THEN
    WRITE(ILUOUT0,*) " ERROR : TMATRICE TABLE ARE MADE WITH XALPHAR=1 XNUR=1"
    WRITE(ILUOUT0,*) " FOR CCLOUD=ICE3. PLEASE CHANGE THIS VALUEs OR PROVIDE "
    WRITE(ILUOUT0,*) " NEW TMATRICE TABLES "
    CALL PRINT_MSG(NVERB_FATAL,'GEN','RADAR_SCATTERING','')
  ENDIF
ENDIF

!---------------------------------------------
! LOOP OVER EVERYTHING
!--------------------------------------------
IF(NDIFF==7) THEN
  YTAB_TYPE(1)='r'
  YTAB_TYPE(2)='s'
  YTAB_TYPE(3)='g'
  YTAB_TYPE(4)='w'
  ! definition des paramètres de lecture de la table T-matrice
  ! all mixing ratio
  ZEXPM_MIN=-7. 
  ZEXPM_STEP=0.01
  ZEXPM_MAX=-2. 
  ZM_MIN=10**ZEXPM_MIN 
  ! rain
  ZELEV_MIN(1)=0.0
  ZELEV_STEP(1)=4.0
  ZELEV_MAX(1)=12.0
  ZTC_MIN(1)=-20.0
  ZTC_STEP(1)=1.0
  ZTC_MAX(1)=40.0
  ZFW_MIN(1)=0.0
  ZFW_STEP(1)=0.1
  ZFW_MAX(1)=0.0
  IF (GLIMA) THEN
    ZCC_MIN(1)=1.8 
    ZCC_STEP(1)=0.02
    ZCC_MAX(1)=6
  ELSE
    ZCC_MIN(1)=1. 
    ZCC_STEP(1)=1.
    ZCC_MAX(1)=1.
  ENDIF
  ! snow + graupel
  ZELEV_MIN(2:3)=0.0
  ZELEV_STEP(2:3)=12.0
  ZELEV_MAX(2:3)=12.0
  ZTC_MIN(2:3)=-70.0
  ZTC_STEP(2:3)=1.0
  ZTC_MAX(2:3)=10.0
  ZFW_MIN(2:3)=0.0
  ZFW_STEP(2:3)=0.1
  ZFW_MAX(2:3)=0.0
  ZCC_MIN(2:3)=1.
  ZCC_STEP(2:3)=1.
  ZCC_MAX(2:3)=1.
  ! wet graupel
  ZELEV_MIN(4)=0.0
  ZELEV_STEP(4)=4.0
  ZELEV_MAX(4)=12.0
  ZTC_MIN(4)=-10.0
  ZTC_STEP(4)=1.0
  ZTC_MAX(4)=10.0
  ZFW_MIN(4)=0.0
  ZFW_STEP(4)=0.1
  ZFW_MAX(4)=1.0
  ZCC_MIN(4)=1.
  ZCC_STEP(4)=1.
  ZCC_MAX(4)=1. 

  DO JT=1,4
    INB_ELEV(JT)=NINT((ZELEV_MAX(JT)-ZELEV_MIN(JT))/ZELEV_STEP(JT))+1
    INB_TC(JT)=NINT((ZTC_MAX(JT)-ZTC_MIN(JT))/ZTC_STEP(JT))+1
    INB_FW(JT)=NINT((ZFW_MAX(JT)-ZFW_MIN(JT))/ZFW_STEP(JT))+1
    INB_M=NINT((ZEXPM_MAX-ZEXPM_MIN)/ZEXPM_STEP)+1
    INB_CC(JT)=NINT((ZCC_MAX(JT)-ZCC_MIN(JT))/ZCC_STEP(JT))+1          
    INB_LINE(JT)=INB_ELEV(JT)*INB_TC(JT)*INB_FW(JT)*INB_M*INB_CC(JT)
  ENDDO
ENDIF                                 

!---------------------------------------------
! LOOP OVER EVERYTHING
!--------------------------------------------
 !==============         loop over radars        ================= 
WRITE(ILUOUT0,*) "INBRAD",INBRAD
DO JI=1,INBRAD
  WRITE(ILUOUT0,*) "JI",JI
  WRITE(ILUOUT0,*) "XLAM_RAD(JI):",XLAM_RAD(JI)

  IF(NDIFF==7) THEN ! If T-MATRIX
  !---------------------------------------------------------------------------------------------
  !	  0. LECTURE DES TABLES TMAT POUR PLUIE, NEIGE, GRAUPEL
  !          en fonction de la bande frequence
  !---------------------------------------------------------------------------------------------
    IF ( XLAM_RAD(JI)==0.1062) THEN
      YBAND='S106.2'     
    ELSEIF (XLAM_RAD(JI) ==0.0532 ) THEN
      YBAND='C053.2'
    ELSEIF (XLAM_RAD(JI)==0.0319 ) THEN
      YBAND='X031.9'
    ELSE
      WRITE(ILUOUT0,*) "ERROR RADAR_SCATTERING"
      WRITE(ILUOUT0,*) "Tmatrice tables are only available for XLAM_RAD=0.1062"
      WRITE(ILUOUT0,*) "or XLAM_RAD=0.053.2 or XLAM_RAD=0.031.8"
      WRITE(ILUOUT0,*) "change XLAM_RAD in namelist or compute new tmatrice table"
      CALL PRINT_MSG(NVERB_FATAL,'GEN','RADAR_SCATTERING','')
    ENDIF

    !************ fichiers Min Max Pas et Coef Tmat ***********
    DO JT=1,4  !types (r, s, g, w)
  
      YTYPE=YTAB_TYPE(JT)
      IF (JT .EQ. 1) THEN
        IF (GLIMA) THEN
          YFILE_COEFINT(JT)='TmatCoefInt_LIMA_'//YBAND//YTYPE
        ELSE
          YFILE_COEFINT(JT)='TmatCoefInt_ICE3_'//YBAND//YTYPE
        ENDIF
      ELSE
       YFILE_COEFINT(JT)='TmatCoefInt_'//YBAND//YTYPE
      ENDIF
      YFILE_COEFINT(JT)=TRIM(ADJUSTL(YFILE_COEFINT(JT)))  
    ENDDO
    !lookup tables for rain
    ALLOCATE (ZTC_T_R(INB_LINE(1)),ZELEV_T_R(INB_LINE(1)),ZCC_T_R(INB_LINE(1)),ZM_T_R(INB_LINE(1)),&
    ZS11_CARRE_T_R(INB_LINE(1)),ZS22_CARRE_T_R(INB_LINE(1)), ZRE_S22S11_T_R(INB_LINE(1)),ZIM_S22S11_T_R(INB_LINE(1)),&
    ZRE_S22FMS11FT_T_R(INB_LINE(1)),ZIM_S22FT_T_R(INB_LINE(1)),ZIM_S11FT_T_R(INB_LINE(1)))
   
    !lookup tables for snow
    ALLOCATE (ZTC_T_S(INB_LINE(2)),ZELEV_T_S(INB_LINE(2)),ZFW_T_S(INB_LINE(2)),ZM_T_S(INB_LINE(2)),&
    ZS11_CARRE_T_S(INB_LINE(2)),ZS22_CARRE_T_S(INB_LINE(2)),ZRE_S22S11_T_S(INB_LINE(2)),ZIM_S22S11_T_S(INB_LINE(2)),&
    ZRE_S22FMS11FT_T_S(INB_LINE(2)),ZIM_S22FT_T_S(INB_LINE(2)),ZIM_S11FT_T_S(INB_LINE(2)))

    !lookup tables for graupel
    ALLOCATE (ZTC_T_G(INB_LINE(3)),ZELEV_T_G(INB_LINE(3)),ZFW_T_G(INB_LINE(3)),ZM_T_G(INB_LINE(3)),&
    ZS11_CARRE_T_G(INB_LINE(3)),ZS22_CARRE_T_G(INB_LINE(3)), ZRE_S22S11_T_G(INB_LINE(3)),ZIM_S22S11_T_G(INB_LINE(3)),&
    ZRE_S22FMS11FT_T_G(INB_LINE(3)),ZIM_S22FT_T_G(INB_LINE(3)),ZIM_S11FT_T_G(INB_LINE(3)))

    !lookup tables for wet graupel
    ALLOCATE (ZTC_T_W(INB_LINE(4)),ZELEV_T_W(INB_LINE(4)),ZFW_T_W(INB_LINE(4)),ZM_T_W(INB_LINE(4)),&
    ZS11_CARRE_T_W(INB_LINE(4)),ZS22_CARRE_T_W(INB_LINE(4)), ZRE_S22S11_T_W(INB_LINE(4)),ZIM_S22S11_T_W(INB_LINE(4)),&
    ZRE_S22FMS11FT_T_W(INB_LINE(4)),ZIM_S22FT_T_W(INB_LINE(4)),ZIM_S11FT_T_W(INB_LINE(4)))


    !=====  Lecture des tables  ===========  
    
    6003 FORMAT (E11.4,2X,E9.3,2X,E10.4,2X,E10.4,2X,E12.5,2X,E12.5,2X,&
                 E12.5,2X,E12.5,2X,E12.5,2X,E12.5,2X,E12.5)

    !rain
    CALL IO_FILE_ADD2LIST(TZFILE,YFILE_COEFINT(1),'TXT','READ')
    CALL IO_FILE_OPEN_ll(TZFILE,KRESP=IRESP)
    IUNIT = TZFILE%NLU
      WRITE(YMSG,*) "problem opening file ",TRIM(YFILE_COEFINT(1))
      CALL PRINT_MSG(NVERB_FATAL,'GEN','RADAR_SCATTERING',YMSG)
    ENDIF
    ILINE=1
    DO WHILE (ILINE .LE. INB_LINE(1))
      READ( UNIT=IUNIT,FMT=6003, IOSTAT=IRESP ) ZTC_T_R(ILINE),ZELEV_T_R(ILINE),&
      ZCC_T_R(ILINE),ZM_T_R(ILINE),ZS11_CARRE_T_R(ILINE),ZS22_CARRE_T_R(ILINE),ZRE_S22S11_T_R(ILINE),&
      ZIM_S22S11_T_R(ILINE),ZRE_S22FMS11FT_T_R(ILINE),ZIM_S22FT_T_R(ILINE),ZIM_S11FT_T_R(ILINE) 
      ILINE=ILINE+1
    ENDDO
    WRITE(ILUOUT0,*) "NLIGNE rain",ILINE      
    ILINE=2
    WRITE(ILUOUT0,*) "ILINE=",ILINE
    WRITE(ILUOUT0,*) "ZTC_T_R(ILINE),ZELEV_T_R(ILINE),ZCC_T_R(ILINE)",&
    ZTC_T_R(ILINE),ZELEV_T_R(ILINE),ZCC_T_R(ILINE)
    WRITE(ILUOUT0,*) "ZM_T_R(ILINE),ZS11_CARRE_T_R(ILINE),ZS22_CARRE_T_R(ILINE),ZRE_S22S11_T_R(ILINE)",&
    ZM_T_R(ILINE),ZS11_CARRE_T_R(ILINE),ZS22_CARRE_T_R(ILINE),ZRE_S22S11_T_R(ILINE)
    WRITE(ILUOUT0,*) "ZIM_S22S11_T_R(ILINE),ZRE_S22FMS11FT_T_R(ILINE),ZIM_S22FT_T_R(ILINE),ZIM_S11FT_T_R(ILINE)",&
    ZIM_S22S11_T_R(ILINE),ZRE_S22FMS11FT_T_R(ILINE),ZIM_S22FT_T_R(ILINE),ZIM_S11FT_T_R(ILINE)
   
    !snow
    CALL IO_FILE_ADD2LIST(TZFILE,YFILE_COEFINT(2),'TXT','READ')
    CALL IO_FILE_OPEN_ll(TZFILE,KRESP=IRESP)
    IUNIT = TZFILE%NLU
      WRITE(YMSG,*) "problem opening file ",TRIM(YFILE_COEFINT(2))
      CALL PRINT_MSG(NVERB_FATAL,'GEN','RADAR_SCATTERING',YMSG)
    ENDIF
    ILINE=1
    DO WHILE (ILINE .LE. INB_LINE(2))
      READ( UNIT=IUNIT,FMT=6003, IOSTAT=IRESP ) ZTC_T_S(ILINE),ZELEV_T_S(ILINE),&
      ZFW_T_S(ILINE),ZM_T_S(ILINE),ZS11_CARRE_T_S(ILINE),ZS22_CARRE_T_S(ILINE),ZRE_S22S11_T_S(ILINE),&
      ZIM_S22S11_T_S(ILINE),ZRE_S22FMS11FT_T_S(ILINE),ZIM_S22FT_T_S(ILINE),ZIM_S11FT_T_S(ILINE)
      ILINE=ILINE+1
    ENDDO
    WRITE(ILUOUT0,*) "NLIGNE snow",ILINE    
    ILINE=2
    WRITE(ILUOUT0,*) "ILINE=",ILINE
    WRITE(ILUOUT0,*) "ZTC_T_S(ILINE),ZELEV_T_S(ILINE),ZFW_T_S(ILINE)",&
    ZTC_T_S(ILINE),ZELEV_T_S(ILINE),ZFW_T_S(ILINE)
    WRITE(ILUOUT0,*) "ZM_T_S(ILINE),ZS11_CARRE_T_S(ILINE),ZS22_CARRE_T_S(ILINE),ZRE_S22S11_T_S(ILINE)",&
    ZM_T_S(ILINE),ZS11_CARRE_T_S(ILINE),ZS22_CARRE_T_S(ILINE),ZRE_S22S11_T_S(ILINE)
    WRITE(ILUOUT0,*) "ZIM_S22S11_T_S(ILINE),ZRE_S22FMS11FT_T_S(ILINE),ZIM_S22FT_T_S(ILINE),ZIM_S11FT_T_S(ILINE)",&
    ZIM_S22S11_T_S(ILINE),ZRE_S22FMS11FT_T_S(ILINE),ZIM_S22FT_T_S(ILINE),ZIM_S11FT_T_S(ILINE)
 
    !graupel
    CALL IO_FILE_ADD2LIST(TZFILE,YFILE_COEFINT(3),'TXT','READ')
    CALL IO_FILE_OPEN_ll(TZFILE,KRESP=IRESP)
    IUNIT = TZFILE%NLU
      WRITE(YMSG,*) "problem opening file ",TRIM(YFILE_COEFINT(3))
      CALL PRINT_MSG(NVERB_FATAL,'GEN','RADAR_SCATTERING',YMSG)
    ENDIF
    ILINE=1
    DO WHILE (ILINE .LE. INB_LINE(3))
      READ( UNIT=IUNIT, FMT=6003,IOSTAT=IRESP ) ZTC_T_G(ILINE),ZELEV_T_G(ILINE),&
      ZFW_T_G(ILINE),ZM_T_G(ILINE),ZS11_CARRE_T_G(ILINE),ZS22_CARRE_T_G(ILINE),ZRE_S22S11_T_G(ILINE),&
      ZIM_S22S11_T_G(ILINE),ZRE_S22FMS11FT_T_G(ILINE),ZIM_S22FT_T_G(ILINE),ZIM_S11FT_T_G(ILINE)
      ILINE=ILINE+1
    ENDDO
    WRITE(ILUOUT0,*) "NLIGNE graupel",ILINE    
    ILINE=2
    WRITE(ILUOUT0,*) "ILINE=",ILINE
    WRITE(ILUOUT0,*) "ZTC_T_G(ILINE),ZELEV_T_G(ILINE)",&
    ZTC_T_G(ILINE),ZELEV_T_G(ILINE)
    WRITE(ILUOUT0,*) "ZM_T_G(ILINE),ZS11_CARRE_T_G(ILINE),ZS22_CARRE_T_G(ILINE),ZRE_S22S11_T_G(ILINE)",&
    ZM_T_G(ILINE),ZS11_CARRE_T_G(ILINE),ZS22_CARRE_T_G(ILINE),ZRE_S22S11_T_G(ILINE)
    WRITE(ILUOUT0,*) "ZIM_S22S11_T_G(ILINE),ZRE_S22FMS11FT_T_G(ILINE),ZIM_S22FT_T_G(ILINE),ZIM_S11FT_T_G(ILINE)",&
    ZIM_S22S11_T_G(ILINE),ZRE_S22FMS11FT_T_G(ILINE),ZIM_S22FT_T_G(ILINE),ZIM_S11FT_T_G(ILINE)

    !wet graupel
    CALL IO_FILE_ADD2LIST(TZFILE,YFILE_COEFINT(4),'TXT','READ')
    CALL IO_FILE_OPEN_ll(TZFILE,KRESP=IRESP)
    IUNIT = TZFILE%NLU
      WRITE(YMSG,*) "problem opening file ",TRIM(YFILE_COEFINT(4))
      CALL PRINT_MSG(NVERB_FATAL,'GEN','RADAR_SCATTERING',YMSG)
    ENDIF
    ILINE=1
    DO WHILE (ILINE .LE. INB_LINE(4))
      READ( UNIT=IUNIT, FMT=6003,IOSTAT=IRESP ) ZTC_T_W(ILINE),ZELEV_T_W(ILINE),&
      ZFW_T_W(ILINE),ZM_T_W(ILINE),ZS11_CARRE_T_W(ILINE),ZS22_CARRE_T_W(ILINE),ZRE_S22S11_T_W(ILINE),&
      ZIM_S22S11_T_W(ILINE),ZRE_S22FMS11FT_T_W(ILINE),ZIM_S22FT_T_W(ILINE),ZIM_S11FT_T_W(ILINE)
      ILINE=ILINE+1
    ENDDO
    WRITE(ILUOUT0,*) "NLIGNE wet graupel",ILINE    
    ILINE=2
    WRITE(ILUOUT0,*) "ILINE=",ILINE
    WRITE(ILUOUT0,*) "ZTC_T_W(ILINE),ZELEV_T_W(ILINE)", ZTC_T_W(ILINE),ZELEV_T_W(ILINE)
    WRITE(ILUOUT0,*) "ZM_T_W(ILINE),ZS11_CARRE_T_W(ILINE),ZS22_CARRE_T_W(ILINE),ZRE_S22S11_T_W(ILINE)",&
    ZM_T_W(ILINE),ZS11_CARRE_T_W(ILINE),ZS22_CARRE_T_W(ILINE),ZRE_S22S11_T_W(ILINE)
    WRITE(ILUOUT0,*) "ZIM_S22S11_T_W(ILINE),ZRE_S22FMS11FT_T_W(ILINE),ZIM_S22FT_T_W(ILINE),ZIM_S11FT_T_W(ILINE)",&
    ZIM_S22S11_T_W(ILINE),ZRE_S22FMS11FT_T_W(ILINE),ZIM_S22FT_T_W(ILINE),ZIM_S11FT_T_W(ILINE)

  ENDIF !END IF T-MATRIX => END OF LOOKUP TABLE READING

 !==============         loop over elevations      ================= 
  IEL=NBELEV(JI)
  WRITE(ILUOUT0,*) "NBELEV(JI)",NBELEV(JI)
  WRITE(ILUOUT0,*) "INPTS_V",INPTS_V
  DO JEL=1,IEL  
    WRITE(ILUOUT0,*) "JEL",JEL
    JL=1
    JV=1
    WRITE(ILUOUT0,*) "JL,JV",JL,JV
    WRITE(ILUOUT0,*) "PELEV(JI,JEL,JL,JV)*180./XPI",PELEV(JI,JEL,JL,JV)*180./XPI
    JL=INBSTEPMAX
    JV=INPTS_V
    WRITE(ILUOUT0,*) "JL,JV",JL,JV
    WRITE(ILUOUT0,*) "PELEV(JI,JEL,JL,JV)*180./XPI",PELEV(JI,JEL,JL,JV)*180./XPI
    !==============         loop over azimuths     ================= 
    DO JAZ=1,INBAZIM   
      DO JH=1,INPTS_H !horizontal discretization of the beam
        DO JV=1,INPTS_V ! vertical discretization (we go down to check partial masks)
          IF(LATT) THEN
            ZAERINT=1.
            ZAVRINT=1.
            ZAEIINT=1.
            ZAESINT=1.
            ZAVSINT=1.
            ZAEGINT=1.
            ZAVGINT=1.
          END IF
          !Loop over the ranges for one azimuth. If the range is masked, the reflectivity for all the consecutive ranges is set to 0
          LPART_MASK=.FALSE.
          LOOPJL: DO JL=1,INBSTEPMAX
            IF(LPART_MASK) THEN ! THIS RAY IS MASKED
              ZREFL(JI,JEL,JAZ,JL:INBSTEPMAX,JH,JV,1)=0. 
              EXIT LOOPJL
            ELSE
              ! if not underground or outside of the MESO-NH domain (PT_RAY : temperature interpolated along the rays)             
              IF(PT_RAY(JI,JEL,JAZ,JL,JH,JV) /= -XUNDEF) THEN
                !
                !---------------------------------------------------------------------------------------------------
                !*       2.    RAINDROPS
                !              ---------
                !
                IF(SIZE(PR_RAY,1) > 0) THEN ! if PR_RAY is available for at least one radar 
                  !contenu en hydrometeore 
                  ZM=PRHODREF_RAY(JI,JEL,JAZ,JL,JH,JV)*PR_RAY(JI,JEL,JAZ,JL,JH,JV)
                  IF (GLIMA) ZCC=PRHODREF_RAY(JI,JEL,JAZ,JL,JH,JV)*PCR_RAY(JI,JEL,JAZ,JL,JH,JV)
                  !ZM_MIN : min value for rain content (10**-7 <=> Z=-26 dBZ)mixing ratio
                  IF (GLIMA) THEN
                    GCALC=((ZM > ZM_MIN).AND.(ZCC > 10**ZCC_MIN(1)))  
                    GCALC=(ZM > ZM_MIN)
                  ENDIF
                  IF(GCALC ) THEN 
                    !calculation of the dielectrique constant (permittitivité relative)
                    ! for liquid water from function QEPSW
                    !(defined in mode_fscatter.f90 => equation 3.6 p 64)
                    YTYPE='r'  
                    ZQMW=SQRT(QEPSW(PT_RAY(JI,JEL,JAZ,JL,JH,JV),XLIGHTSPEED/XLAM_RAD(JI)))
                    !ZLBDA : slope distribution parameter (equation 2.6 p 23)  
                     IF (GLIMA) THEN
                       ZLBDA=( ZLBR*ZCC / ZM )**ZLBEXR
                     ELSE
                       ZLBDA=ZLBR*(ZM)**ZLBEXR
                     ENDIF
                    ZQK=(ZQMW**2-1.)/(ZQMW**2+2.) !dielectric factor (3.43 p 56)
                    ZFW=0 !Liquid water fraction (only for melting graupel => 0 for rain) 
        
                    !compteur=compteur+1
                    !---------------------------------------------------  
                    ! ------------    DIFFUSION      --------------
                    !---------------------------------------------------  
                    !******************************* NDIFF=0 or 4 *********************************
                    IF(NDIFF==0.OR.NDIFF==4) THEN ! Rayleigh
                      !ZREFLOC(1:2) : Zh et Zv = int(sigma(D)*N(D)) (eq 1.6 p 16)
                      !with N(D) formulation (eq 2.2 p 23) and sigma Rayleigh (3.41 p 55)
                      !MOMG : gamma function defined in mong.f90
                      !XCCR = 1.E7; XLBEXR = -0.25! Marshall-Palmer law (radar_rain_ice.f90)
                      !ZCXR : -1 (Xi coeff in equation 2.3 p 23)
                      ZREFLOC(1:2)=1.E18*ZCCR*ZLBDA**(ZCXR-6.)*MOMG(ZALPHAR,ZNUR,6.)
                      IF(LWREFL) THEN ! weighting by reflectivities
                        !ZREFL(...,IVDOP)=radial velocity (IVDOP=9), weighted by reflectivity and
                        !taking into account raindrops fall velocity (ZCR = 842, XDR = 0.8 -> 2.8 p23 et 2.1 p24)
                        ZREFL(JI,JEL,JAZ,JL,JH,JV,IVDOP)=-ZCR*SIN(PELEV(JI,JEL,JL,JV)) &
                              *1.E18*ZCCR*ZLBDA**(ZCXR-6.-ZDR)*MOMG(ZALPHAR,ZNUR,6.+ZDR)
                      ELSE 
                        ZREFL(JI,JEL,JAZ,JL,JH,JV,IMAX)=ZCCR*ZLBDA**ZCXR ! N0j of equation 2.3 p23 (density of particules)
                        !projection of fall velocity only
                        ZREFL(JI,JEL,JAZ,JL,JH,JV,IVDOP)=-ZCR*SIN(PELEV(JI,JEL,JL,JV)) &
                                                         *ZCCR*ZLBDA**(ZCXR-ZDR)*MOMG(ZALPHAR,ZNUR,ZDR)
                      END IF ! end weighting by reflectivities
                      IF(LATT) THEN ! Calculation of Extinction coefficient
                        IF(NDIFF==0) THEN ! Rayleigh 3rd order : calculation from equations
                          ! 3.39 p55 : extinction coeff = int(extinction_section(D) * N(D))
                          ! 2.2 and 2.3 p23: simplification of int(D**p * N(D)) and N0j
                          ! 3.42 p57 : extinction_section(D)
                          ZAETMP(:)=ZCCR*ZLBDA**ZCXR*(XPI**2/XLAM_RAD(JI)*AIMAG(ZQK)&
                                    *MOMG(ZALPHAR,ZNUR,ZBR)/ZLBDA**ZBR)
                        ELSE  ! Rayleigh 6th order ! eq 3.52 p 58 for extinction coefficient
                          ZAETMP(:)=ZCCR*ZLBDA**ZCXR*(XPI**2/XLAM_RAD(JI)*AIMAG(ZQK)&
                                    *MOMG(ZALPHAR,ZNUR,ZBR)/ZLBDA**ZBR             &
                                    +XPI**4/15./XLAM_RAD(JI)**3*AIMAG(ZQK**2*(ZQMW**4+27.*ZQMW**2+38.) &
                                    /(2.*ZQMW**2+3.))*MOMG(ZALPHAR,ZNUR,5.*ZBR/3.)/ZLBDA**(5.*ZBR/3.)&
                                    +2.*XPI**5/3. /XLAM_RAD(JI)**4*REAL(ZQK**2)                      &
                                    *MOMG(ZALPHAR,ZNUR,2.*ZBR)   /ZLBDA**(2.*ZBR))
                        END IF
                      END IF ! end IF(LATT)
                      ZRE_S22S11_R=0
                      ZIM_S22S11_R=0
                      ZS22_CARRE_R=0
                      ZS11_CARRE_R=0       
                    !******************************* NDIFF==7 ************************************                 
                    ELSE IF(NDIFF==7) THEN !T-matrix 
                      ZREFLOC(:)=0
                      IF(LATT) ZAETMP(:)=0       
                      IF (GLIMA) THEN
                        CALL CALC_KTMAT_LIMA(PELEV(JI,JEL,JL,JV),&
                                        PT_RAY(JI,JEL,JAZ,JL,JH,JV),ZCC,ZM,&
                                        ZELEV_MIN(1),ZELEV_MAX(1),ZELEV_STEP(1),&
                                        ZTC_MIN(1),ZTC_MAX(1),ZTC_STEP(1),&
                                        ZCC_MIN(1),ZCC_MAX(1),ZCC_STEP(1),&
                                        ZEXPM_MIN,ZEXPM_MAX,ZEXPM_STEP,&
                                        ITMAT,ZELEV_RED,ZTC_RED,ZCC_RED,ZM_RED)
                      ELSE
                        CALL CALC_KTMAT(PELEV(JI,JEL,JL,JV),&
                                        PT_RAY(JI,JEL,JAZ,JL,JH,JV),ZFW,ZM,&
                                        ZELEV_MIN(1),ZELEV_MAX(1),ZELEV_STEP(1),&
                                        ZTC_MIN(1),ZTC_MAX(1),ZTC_STEP(1),&
                                        ZFW_MIN(1),ZFW_MAX(1),ZFW_STEP(1),&
                                        ZEXPM_MIN,ZEXPM_MAX,ZEXPM_STEP,&
                                        ITMAT,ZELEV_RED,ZTC_RED,ZFW_RED,ZM_RED)
                      ENDIF
                      IF (ITMAT(1) .NE. -NUNDEF) THEN 
                        DO JIND=1,SIZE(KMAT_COEF,2),1
                          KMAT_COEF(1,JIND)=ZS11_CARRE_T_R(ITMAT(JIND))
                          KMAT_COEF(2,JIND)=ZS22_CARRE_T_R(ITMAT(JIND))
                          KMAT_COEF(3,JIND)=ZRE_S22S11_T_R(ITMAT(JIND))
                          KMAT_COEF(4,JIND)=ZIM_S22S11_T_R(ITMAT(JIND))
                          KMAT_COEF(5,JIND)=ZRE_S22FMS11FT_T_R(ITMAT(JIND))
                          KMAT_COEF(6,JIND)=ZIM_S22FT_T_R(ITMAT(JIND))
                          KMAT_COEF(7,JIND)=ZIM_S11FT_T_R(ITMAT(JIND))
                        ENDDO
                        IF (GLIMA) THEN
                          CALL INTERPOL(ZELEV_RED,ZTC_RED,ZCC_RED,ZM_RED,KMAT_COEF,ZS11_CARRE_R,ZS22_CARRE_R,&
                                       ZRE_S22S11_R,ZIM_S22S11_R,ZRE_S22FMS11F,ZIM_S22FT,ZIM_S11FT)  
                        ELSE
                          CALL INTERPOL(ZELEV_RED,ZTC_RED,ZFW_RED,ZM_RED,KMAT_COEF,ZS11_CARRE_R,ZS22_CARRE_R,&
                                       ZRE_S22S11_R,ZIM_S22S11_R,ZRE_S22FMS11F,ZIM_S22FT,ZIM_S11FT)
                        ENDIF
                      ELSE
                        ZS11_CARRE_R=0
                        ZS22_CARRE_R=0
                        ZRE_S22S11_R=0
                        ZIM_S22S11_R=0
                        ZRE_S22FMS11F=0
                        ZIM_S22FT=0
                        ZIM_S11FT=0
                      END IF
                      ZREFLOC(1)=1.E18*(XLAM_RAD(JI))**4/(XPI**5*.93)*4*XPI*ZS22_CARRE_R
                      ZREFLOC(2)=1.E18*(XLAM_RAD(JI))**4/(XPI**5*.93)*4*XPI*ZS11_CARRE_R
                      ZREFLOC(3)=180.E3/XPI*XLAM_RAD(JI)*ZRE_S22FMS11F
                      IF (GLIMA) THEN
                        ZREFL(JI,JEL,JAZ,JL,JH,JV,IVDOP)=PVDOP_RAY(JI,JEL,JAZ,JL,JH,JV)*ZREFLOC(1) &
                                                       -ZCR*SIN(PELEV(JI,JEL,JL,JV))*ZREFLOC(1) &
                                                       *1.E18*(XLAM_RAD(JI)/XPI)**4/.93*ZCC/4./ZLBDA**(2+ZDR)
                      ELSE
                        ZREFL(JI,JEL,JAZ,JL,JH,JV,IVDOP)=PVDOP_RAY(JI,JEL,JAZ,JL,JH,JV)*ZREFLOC(1) &
                                                       -ZCR*SIN(PELEV(JI,JEL,JL,JV))*ZREFLOC(1) &
                                                       *1.E18*(XLAM_RAD(JI)/XPI)**4/.93*ZCCR/4./ZLBDA**(3+ZDR)
                      ENDIF
                      IF(LATT) THEN
                        ZAETMP(1)=ZIM_S22FT*XLAM_RAD(JI)*2
                        ZAETMP(2)=ZIM_S11FT*XLAM_RAD(JI)*2
                      END IF   
                    !******************************* NDIFF=1 or 3 *********************************
                    !       Gauss Laguerre integration
                    ELSE ! MIE OR T-MATRIX OR RAYLEIGH FOR ELLIPSOIDES
                      ZREFLOC(:)=0.
                      IF(LATT) ZAETMP(:)=0.
                      DO JJ=1,NPTS_GAULAG ! ****** Gauss-Laguerre quadrature
                        SELECT CASE(NDIFF)
                        CASE(1) ! *************** NDIFF=1 MIE *****************
                          ! subroutine BHMIE defined in mode_fscatter.f90
                          ! calculate extinction coefficient ZQEXT(1),scattering : ZQSCA
                          ! and backscattering ZQBACK(1) on the horizontal plan (spheroid)
                          CALL BHMIE(XPI/XLAM_RAD(JI)*ZX(JJ)/ZLBDA,ZQMW,ZQEXT(1),ZQSCA,ZQBACK(1))
                          ZQBACK(2)=ZQBACK(1) !=> same because sphere
                          ZQEXT(2)=ZQEXT(1) ! modif Clotilde 23/04/2012
                          ZQBACK(3)=0. !=> 0 because sphere
                        CASE(3) !****************** NDIFF==3 RG RAYLEIGH FOR ELLIPSOIDES ***********************
                          IF(ARF(ZX(JJ)/ZLBDA)==1.) THEN
                            ZLB=1./3.
                          ELSE
                            ZLB=1./(ARF(ZX(JJ)/ZLBDA))**2-1. ! f**2
                            ZLB=(1.+ZLB)/ZLB*(1.-ATAN(SQRT(ZLB))/SQRT(ZLB)) ! lambda_b
                            IF(ZX(JJ)/ZLBDA>16.61E-3) PRINT*, 'Negative axis ratio; reduce NPTS_GAULAG.'
                          END IF
                          ! equation 3.44 p 56 (ZX**4 instead of ZX**6 but ZQBACK is multiplied after by ZX**2)
                          ZQBACK(1)=4.*(XPI/XLAM_RAD(JI)*ZX(JJ)/ZLBDA)**4&
                                    *ABS((ZQMW**2-1.)/3./(1.+.5*(1.-ZLB)*(ZQMW**2-1.)))**2
                          ! equation 3.45 p 56
                          ZQBACK(2)=4.*(XPI/XLAM_RAD(JI)*ZX(JJ)/ZLBDA)**4*ABS((ZQMW**2-1.)/3.*&
                                    (SIN(PELEV(JI,JEL,JL,JV))**2/(1.+.5*(1.-ZLB)*(ZQMW**2-1.))+& ! PELEV=PI+THETA_I
                                    COS(PELEV(JI,JEL,JL,JV))**2/(1.+ZLB*(ZQMW**2-1.))) )**2 !
                          ! KDP from equation 3.49
                          ZQBACK(3)=ZX(JJ)/ZLBDA**3*REAL((ZQMW**2-1.)**2*(3.*ZLB-1.)/(2.+(ZQMW**2-1.)*(ZLB+1.) &
                          +ZLB*(1.-ZLB)*(ZQMW**2-1.)**2))
                          IF(LATT) THEN
                            ! equations 3.48 and 3.49 p57
                            ZQEXT(1)=4.*(XPI/XLAM_RAD(JI)*ZX(JJ)/ZLBDA)*AIMAG((ZQMW**2-1.)/3./(1.+.5*(1.-ZLB)*(ZQMW**2-1.)))
                            ZQEXT(2)=4.*(XPI/XLAM_RAD(JI)*ZX(JJ)/ZLBDA)*AIMAG((ZQMW**2-1.)/3.*&
                                     (SIN(PELEV(JI,JEL,JL,JV))**2/(1.+.5*(1.-ZLB)*(ZQMW**2-1.))+& ! PELEV=PI+THETA_I
                                     COS(PELEV(JI,JEL,JL,JV))**2/(1.+ZLB*(ZQMW**2-1.))))
                          END IF
                        END SELECT !end SELECT NDIFF
                        !incrementation of the reflectivity and Kdp(1,2,3,4 for Zh, Zv, )
                        !with the backscattering coefficients for each point of the GAULAG distribution
                        ! or each diameter D
                        ZREFLOC(1:3)=ZREFLOC(1:3)+ZQBACK(1:3)*ZX(JJ)**2*ZW(JJ)
                        ZREFLOC(4)=ZREFLOC(4)+ZQBACK(1)*ZX(JJ)**(2+ZDR)*ZW(JJ)
                          !same for attenuation with extinction coefficient						
                        IF(LATT) ZAETMP(:)=ZAETMP(:)+ZQEXT(:)*ZX(JJ)**2*ZW(JJ)
                      END DO ! ****** end loop Gauss-Laguerre quadrature
               
                      ZREFLOC(1:2)=1.E18*ZREFLOC(1:2)*(XLAM_RAD(JI)/XPI)**4/.93*ZCCR/4./ZLBDA**3
                      ZREFLOC(3)=ZREFLOC(3)*XPI**2/6./XLAM_RAD(JI)*ZCCR/ZLBDA &
                                 *180.E3/XPI ! (in deg/km)		
                      ZREFL(JI,JEL,JAZ,JL,JH,JV,IVDOP)=PVDOP_RAY(JI,JEL,JAZ,JL,JH,JV)*ZREFLOC(1) &
                                                       -ZCR*SIN(PELEV(JI,JEL,JL,JV))*ZREFLOC(4) &
                                                       *1.E18*(XLAM_RAD(JI)/XPI)**4/.93*ZCCR/4./ZLBDA**(3+ZDR)
          
                      !********* for all cases with Gauss-Laguerre integration
                      ZRE_S22S11_R=0
                      ZIM_S22S11_R=0
                      ZS22_CARRE_R=0
                      ZS11_CARRE_R=0
                      IF(LATT) ZAETMP(:)=ZAETMP(:)*XPI*ZCCR*ZLBDA**(ZCXR-2.*ZBR/3.)/(4.*GAMMA(ZNUR))
                    END IF ! ****************** End if for each type of diffusion ************************
                    !incrementation of ZHH, ZDR and KDP
                    ZREFL(JI,JEL,JAZ,JL,JH,JV,1:3)=ZREFL(JI,JEL,JAZ,JL,JH,JV,1:3)+ZREFLOC(1:3)
                    ! ZER (Z due to raindrops)
                    ZREFL(JI,JEL,JAZ,JL,JH,JV,IZER)=ZREFLOC(1)
                    ZREFL(JI,JEL,JAZ,JL,JH,JV,IZDA)=ZREFLOC(2) !Zvv for ZDR due to rain
                    ZREFL(JI,JEL,JAZ,JL,JH,JV,IKDR)=ZREFLOC(3) !Zvv for ZDR due to rain  

                    ! RhoHV due to rain
                    IF (ZS22_CARRE_R*ZS11_CARRE_R .GT. 0) THEN
                      ZREFL(JI,JEL,JAZ,JL,JH,JV,IRHR)=SQRT(ZRE_S22S11_R**2+ZIM_S22S11_R**2)/SQRT(ZS22_CARRE_R*ZS11_CARRE_R)
                    ELSE
                      ZREFL(JI,JEL,JAZ,JL,JH,JV,IRHR)=1
                    END IF
                    IF(LATT) THEN
                      ZAELOC(JI,JEL,JAZ,JL,JH,JV,:)=ZAETMP(:) ! specific attenuation due to rain
                      ZREFL(JI,JEL,JAZ,JL,JH,JV,IAER)=ZAETMP(1)
                      ZREFL(JI,JEL,JAZ,JL,JH,JV,IAVR)=ZAETMP(2)
                      ! for ranges over 1, correction of attenuation on reflectivity due to rain
                      IF(JL>1) THEN
                        ZAERINT=ZAERINT*EXP(-2.*ZREFL(JI,JEL,JAZ,JL-1,JH,JV,IAER)*XSTEP_RAD)
                        ZAVRINT=ZAVRINT*EXP(-2.*ZREFL(JI,JEL,JAZ,JL-1,JH,JV,IAVR)*XSTEP_RAD)
                      END IF
                      ZREFL(JI,JEL,JAZ,JL,JH,JV,IZER)=ZREFL(JI,JEL,JAZ,JL,JH,JV,IZER)*ZAERINT ! Z_r attenuated
                      ZREFL(JI,JEL,JAZ,JL,JH,JV,IZDA)=ZREFL(JI,JEL,JAZ,JL,JH,JV,IZDA)*ZAVRINT ! ZVr attenuated		
                    END IF !end IF(LATT)
                  END IF 
                        ! mimimum rainwater mixing ratio
                        ! Total attenuation even if no hydrometeors (equation 1.7 p 17)