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!Environment Canada - Atmospheric Science and Technology License/Disclaimer,
! version 3; Last Modified: May 7, 2008.
!This is free but copyrighted software; you can use/redistribute/modify it under the terms
!of the Environment Canada - Atmospheric Science and Technology License/Disclaimer
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!See the above mentioned License/Disclaimer for more details.
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!
*CoMpIlAtIoN_OpTiOnS ::AIX=-O4::*
SUBROUTINE leginv3_hem (KM,PFMS,PFMA,DDSP,DDALP,KDIM, KLATH 3
S ,KTRUNC,KTRUNCDIM)
#if defined (DOC)
*
***s/r leginv3_hem - Inverse Legendre transform going from spectral to
* . Fourier space. All latitudes are computed for a
* . given value KM of the zonal wavenumber
*
*
*Author : Luc Fillion - ARMA/EC - 23 Jun 2010 - Hemispheric version.
*Revision:
*
*Arguments
* i : KM : zonal wavenumber being processed
*
* i : DDSP(0:KTRUNC,2*KDIM) : SPECTRAL COEFFICIENTS
* i : DDALP(0:KTRUNC,KJLATH) : EITHER ALP, DALP OR DELALP
* - (LEGENDRE FUNCTIONS)
* i : KLATH : NUMBER OF LATITUDE CIRCLES
* - TO BE TREATED
* i : KTRUNC : truncation order (triangular)
* i : KDIM : NUMBER OF FIELDS
* - TO BE TREATED
* o : PFMS(KJLATH,2*KDIM) : SYMMETRIC PART OF THE INVERSE
* - LEGENDRE TRANSFORM
* o : PFMA(KJLATH,2*KDIM) : ANTISYMMETRIC PART OF THE INVERSE
* - LEGENDRE TRANSFORM
* i : KTRUNCDIM : DIMENSION NEEDED TO PASS ARRAYS
* - AS ARGUMENTS (CAN BE REMOVED IF
* - AUTOMATIC ARRAYS ARE SUPPORTED)
* ------------------------------------------------------------------
*
#endif
IMPLICIT NONE
#include "comdim.cdk"
C
C Arguments
C
C
INTEGER KM, KDIM, KTRUNC, KTRUNCDIM, KLATH
REAL*8 PFMS(NJLATH+1,2*KDIM),PFMA(NJLATH+1,2*KDIM)
REAL*8 DDALP(0:KTRUNCDIM,KLATH)
REAL*8 DDSP(0:KTRUNCDIM,2*KDIM)
C
C Local variables
C
INTEGER JK, JLAT, JN, INM, ILEN
s ,ITRUNC, INMP1, JIND, INK
C
CIBM-WLW-BEGIN
INTEGER I,J
CIBM-WLW-END
C
ILEN=(KLATH+1)*2*KDIM
pfms(:,:) = 0.d0
pfma(:,:) = 0.d0
C
C 1. Sum is made on JN for both even and odd modes except possibly
C . for the last even mode that needs to be treated separately
C
100 CONTINUE
ITRUNC = KTRUNC
IF(MOD(KTRUNC-KM+1,2).EQ.1) ITRUNC = KTRUNC-1
*
IF(KM.NE.KTRUNC)THEN
CIBM-WLW-BEGIN1
DO 101 JLAT = 1,KLATH
DO 102 JK = 1,2*KDIM
DO 103 JN = KM, ITRUNC, 2
INM = JN - KM
INMP1 = INM + 1
PFMS(JLAT,JK) = PFMS(JLAT,JK) +
& DDALP(INM,JLAT) * DDSP(INM,JK)
! PFMA(JLAT,JK) = PFMA(JLAT,JK) +
! & DDALP(INMP1,JLAT) * DDSP(INMP1,JK)
103 CONTINUE
102 END DO
101 END DO
CIBM-WLW-END1
END IF
C
C 2. When the number of even modes exceed the number of modes by 1,
C . an adjustment is needed for the last even mode
C
200 CONTINUE
IF(MOD(KTRUNC-KM+1,2).EQ.1) THEN
JN = KTRUNC
IF ( KM .NE. KTRUNC) THEN
INM = JN - KM
DO 201 JLAT = 1,KLATH
DO 202 JK = 1,2*KDIM
PFMS(JLAT,JK) = PFMS(JLAT,JK) +
& DDALP(INM,JLAT) * DDSP(INM,JK)
202 END DO
201 END DO
ELSE
INM = JN - KM
DO 251 JLAT = 1,KLATH
DO 252 JK = 1,2*KDIM
PFMS(JLAT,JK) =
& DDALP(INM,JLAT) * DDSP(INM,JK)
252 END DO
251 END DO
END IF
END IF
C
RETURN
END