!-------------------------------------- LICENCE BEGIN ------------------------------------
!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
!version 3 or (at your option) any later version that should be found at:
!http://collaboration.cmc.ec.gc.ca/science/rpn.comm/license.html
!
!This software is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY;
!without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
!See the above mentioned License/Disclaimer for more details.
!You should have received a copy of the License/Disclaimer along with this software;
!if not, you can write to: EC-RPN COMM Group, 2121 TransCanada, suite 500, Dorval (Quebec),
!CANADA, H9P 1J3; or send e-mail to service.rpn@ec.gc.ca
!-------------------------------------- LICENCE END --------------------------------------
!
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
C
C   FFTPACK 5.0 
C   Copyright (C) 1995-2004, Scientific Computing Division,
C   University Corporation for Atmospheric Research
C   Licensed under the GNU General Public License (GPL)
C
C   Authors:  Paul N. Swarztrauber and Richard A. Valent
C
C   $Id: mradf5_8.ftn,v 1.4 2011/11/29 15:45:00 armaanl Exp $
C
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC


      SUBROUTINE MRADF5_8 (M,IDO,L1,CC,IM1,IN1,CH,IM2,IN2, 2
     1                   WA1,WA2,WA3,WA4)
#include "taglam4d.cdk"
      REAL*8       CC(IN1,IDO,L1,5)    ,CH(IN2,IDO,5,L1)     ,
     1           WA1(IDO)     ,WA2(IDO)     ,WA3(IDO)     ,WA4(IDO)
      real*8 ARG,TR11,TI11,TR12,TI12
C
      M1D = (M-1)*IM1+1
      M2S = 1-IM2
      ARG=2.d0*4.d0*DATAN(1.d0)/5.d0
      TR11=DCOS(ARG)
      TI11=DSIN(ARG)
      TR12=DCOS(2.*ARG)
      TI12=DSIN(2.*ARG)
      DO 101 K=1,L1
         M2 = M2S
         DO 1001 M1=1,M1D,IM1
         M2 = M2+IM2
         CH(M2,1,1,K) = CC(M1,1,K,1)+(CC(M1,1,K,5)+CC(M1,1,K,2))+
     1    (CC(M1,1,K,4)+CC(M1,1,K,3))
         CH(M2,IDO,2,K) = CC(M1,1,K,1)+TR11*(CC(M1,1,K,5)+CC(M1,1,K,2))+
     1    TR12*(CC(M1,1,K,4)+CC(M1,1,K,3))
         CH(M2,1,3,K) = TI11*(CC(M1,1,K,5)-CC(M1,1,K,2))+TI12*
     1    (CC(M1,1,K,4)-CC(M1,1,K,3))
         CH(M2,IDO,4,K) = CC(M1,1,K,1)+TR12*(CC(M1,1,K,5)+CC(M1,1,K,2))+
     1    TR11*(CC(M1,1,K,4)+CC(M1,1,K,3))
         CH(M2,1,5,K) = TI12*(CC(M1,1,K,5)-CC(M1,1,K,2))-TI11*
     1    (CC(M1,1,K,4)-CC(M1,1,K,3))
 1001    CONTINUE
  101 CONTINUE
      IF (IDO .EQ. 1) RETURN
      IDP2 = IDO+2
      DO 103 K=1,L1
         DO 102 I=3,IDO,2
            IC = IDP2-I
            M2 = M2S
            DO 1002 M1=1,M1D,IM1
            M2 = M2+IM2
            CH(M2,I-1,1,K) = CC(M1,I-1,K,1)+((WA1(I-2)*CC(M1,I-1,K,2)+
     1       WA1(I-1)*CC(M1,I,K,2))+(WA4(I-2)*CC(M1,I-1,K,5)+WA4(I-1)*
     1       CC(M1,I,K,5)))+((WA2(I-2)*CC(M1,I-1,K,3)+WA2(I-1)*
     1       CC(M1,I,K,3))+(WA3(I-2)*CC(M1,I-1,K,4)+
     1       WA3(I-1)*CC(M1,I,K,4)))
            CH(M2,I,1,K) = CC(M1,I,K,1)+((WA1(I-2)*CC(M1,I,K,2)-
     1       WA1(I-1)*CC(M1,I-1,K,2))+(WA4(I-2)*CC(M1,I,K,5)-WA4(I-1)*
     1       CC(M1,I-1,K,5)))+((WA2(I-2)*CC(M1,I,K,3)-WA2(I-1)*
     1       CC(M1,I-1,K,3))+(WA3(I-2)*CC(M1,I,K,4)-WA3(I-1)*
     1       CC(M1,I-1,K,4)))
            CH(M2,I-1,3,K) = CC(M1,I-1,K,1)+TR11*
     1      ( WA1(I-2)*CC(M1,I-1,K,2)+WA1(I-1)*CC(M1,I,K,2)
     1       +WA4(I-2)*CC(M1,I-1,K,5)+WA4(I-1)*CC(M1,I,K,5))+TR12*
     1      ( WA2(I-2)*CC(M1,I-1,K,3)+WA2(I-1)*CC(M1,I,K,3)
     1       +WA3(I-2)*CC(M1,I-1,K,4)+WA3(I-1)*CC(M1,I,K,4))+TI11*
     1      ( WA1(I-2)*CC(M1,I,K,2)-WA1(I-1)*CC(M1,I-1,K,2)
     1       -(WA4(I-2)*CC(M1,I,K,5)-WA4(I-1)*CC(M1,I-1,K,5)))+TI12*
     1      ( WA2(I-2)*CC(M1,I,K,3)-WA2(I-1)*CC(M1,I-1,K,3)
     1       -(WA3(I-2)*CC(M1,I,K,4)-WA3(I-1)*CC(M1,I-1,K,4)))
            CH(M2,IC-1,2,K) = CC(M1,I-1,K,1)+TR11*
     1      ( WA1(I-2)*CC(M1,I-1,K,2)+WA1(I-1)*CC(M1,I,K,2)
     1       +WA4(I-2)*CC(M1,I-1,K,5)+WA4(I-1)*CC(M1,I,K,5))+TR12*
     1     ( WA2(I-2)*CC(M1,I-1,K,3)+WA2(I-1)*CC(M1,I,K,3)
     1      +WA3(I-2)*CC(M1,I-1,K,4)+WA3(I-1)*CC(M1,I,K,4))-(TI11*
     1      ( WA1(I-2)*CC(M1,I,K,2)-WA1(I-1)*CC(M1,I-1,K,2)
     1       -(WA4(I-2)*CC(M1,I,K,5)-WA4(I-1)*CC(M1,I-1,K,5)))+TI12*
     1      ( WA2(I-2)*CC(M1,I,K,3)-WA2(I-1)*CC(M1,I-1,K,3)
     1       -(WA3(I-2)*CC(M1,I,K,4)-WA3(I-1)*CC(M1,I-1,K,4))))
            CH(M2,I,3,K) = (CC(M1,I,K,1)+TR11*((WA1(I-2)*CC(M1,I,K,2)-
     1       WA1(I-1)*CC(M1,I-1,K,2))+(WA4(I-2)*CC(M1,I,K,5)-WA4(I-1)*
     1       CC(M1,I-1,K,5)))+TR12*((WA2(I-2)*CC(M1,I,K,3)-WA2(I-1)*
     1       CC(M1,I-1,K,3))+(WA3(I-2)*CC(M1,I,K,4)-WA3(I-1)*
     1       CC(M1,I-1,K,4))))+(TI11*((WA4(I-2)*CC(M1,I-1,K,5)+
     1       WA4(I-1)*CC(M1,I,K,5))-(WA1(I-2)*CC(M1,I-1,K,2)+WA1(I-1)*
     1       CC(M1,I,K,2)))+TI12*((WA3(I-2)*CC(M1,I-1,K,4)+WA3(I-1)*
     1       CC(M1,I,K,4))-(WA2(I-2)*CC(M1,I-1,K,3)+WA2(I-1)*
     1       CC(M1,I,K,3))))
            CH(M2,IC,2,K) = (TI11*((WA4(I-2)*CC(M1,I-1,K,5)+WA4(I-1)*
     1       CC(M1,I,K,5))-(WA1(I-2)*CC(M1,I-1,K,2)+WA1(I-1)*
     1       CC(M1,I,K,2)))+TI12*((WA3(I-2)*CC(M1,I-1,K,4)+WA3(I-1)*
     1       CC(M1,I,K,4))-(WA2(I-2)*CC(M1,I-1,K,3)+WA2(I-1)*
     1       CC(M1,I,K,3))))-(CC(M1,I,K,1)+TR11*((WA1(I-2)*CC(M1,I,K,2)-
     1       WA1(I-1)*CC(M1,I-1,K,2))+(WA4(I-2)*CC(M1,I,K,5)-WA4(I-1)*
     1       CC(M1,I-1,K,5)))+TR12*((WA2(I-2)*CC(M1,I,K,3)-WA2(I-1)*
     1       CC(M1,I-1,K,3))+(WA3(I-2)*CC(M1,I,K,4)-WA3(I-1)*
     1       CC(M1,I-1,K,4))))
            CH(M2,I-1,5,K) = (CC(M1,I-1,K,1)+TR12*((WA1(I-2)*
     1       CC(M1,I-1,K,2)+WA1(I-1)*CC(M1,I,K,2))+(WA4(I-2)*
     1       CC(M1,I-1,K,5)+WA4(I-1)*CC(M1,I,K,5)))+TR11*((WA2(I-2)*
     1       CC(M1,I-1,K,3)+WA2(I-1)*CC(M1,I,K,3))+(WA3(I-2)*
     1       CC(M1,I-1,K,4)+WA3(I-1)*CC(M1,I,K,4))))+(TI12*((WA1(I-2)*
     1       CC(M1,I,K,2)-WA1(I-1)*CC(M1,I-1,K,2))-(WA4(I-2)*
     1       CC(M1,I,K,5)-WA4(I-1)*CC(M1,I-1,K,5)))-TI11*((WA2(I-2)*
     1       CC(M1,I,K,3)-WA2(I-1)*CC(M1,I-1,K,3))-(WA3(I-2)*
     1       CC(M1,I,K,4)-WA3(I-1)*CC(M1,I-1,K,4))))
            CH(M2,IC-1,4,K) = (CC(M1,I-1,K,1)+TR12*((WA1(I-2)*
     1       CC(M1,I-1,K,2)+WA1(I-1)*CC(M1,I,K,2))+(WA4(I-2)*
     1       CC(M1,I-1,K,5)+WA4(I-1)*CC(M1,I,K,5)))+TR11*((WA2(I-2)*
     1       CC(M1,I-1,K,3)+WA2(I-1)*CC(M1,I,K,3))+(WA3(I-2)*
     1       CC(M1,I-1,K,4)+WA3(I-1)*CC(M1,I,K,4))))-(TI12*((WA1(I-2)*
     1       CC(M1,I,K,2)-WA1(I-1)*CC(M1,I-1,K,2))-(WA4(I-2)*
     1       CC(M1,I,K,5)-WA4(I-1)*CC(M1,I-1,K,5)))-TI11*((WA2(I-2)*
     1       CC(M1,I,K,3)-WA2(I-1)*CC(M1,I-1,K,3))-(WA3(I-2)*
     1       CC(M1,I,K,4)-WA3(I-1)*CC(M1,I-1,K,4))))
            CH(M2,I,5,K) = (CC(M1,I,K,1)+TR12*((WA1(I-2)*CC(M1,I,K,2)-
     1       WA1(I-1)*CC(M1,I-1,K,2))+(WA4(I-2)*CC(M1,I,K,5)-WA4(I-1)*
     1       CC(M1,I-1,K,5)))+TR11*((WA2(I-2)*CC(M1,I,K,3)-WA2(I-1)*
     1       CC(M1,I-1,K,3))+(WA3(I-2)*CC(M1,I,K,4)-WA3(I-1)*
     1       CC(M1,I-1,K,4))))+(TI12*((WA4(I-2)*CC(M1,I-1,K,5)+
     1       WA4(I-1)*CC(M1,I,K,5))-(WA1(I-2)*CC(M1,I-1,K,2)+WA1(I-1)*
     1       CC(M1,I,K,2)))-TI11*((WA3(I-2)*CC(M1,I-1,K,4)+WA3(I-1)*
     1       CC(M1,I,K,4))-(WA2(I-2)*CC(M1,I-1,K,3)+WA2(I-1)*
     1       CC(M1,I,K,3))))
            CH(M2,IC,4,K) = (TI12*((WA4(I-2)*CC(M1,I-1,K,5)+WA4(I-1)*
     1       CC(M1,I,K,5))-(WA1(I-2)*CC(M1,I-1,K,2)+WA1(I-1)*
     1       CC(M1,I,K,2)))-TI11*((WA3(I-2)*CC(M1,I-1,K,4)+WA3(I-1)*
     1       CC(M1,I,K,4))-(WA2(I-2)*CC(M1,I-1,K,3)+WA2(I-1)*
     1       CC(M1,I,K,3))))-(CC(M1,I,K,1)+TR12*((WA1(I-2)*CC(M1,I,K,2)-
     1       WA1(I-1)*CC(M1,I-1,K,2))+(WA4(I-2)*CC(M1,I,K,5)-WA4(I-1)*
     1       CC(M1,I-1,K,5)))+TR11*((WA2(I-2)*CC(M1,I,K,3)-WA2(I-1)*
     1       CC(M1,I-1,K,3))+(WA3(I-2)*CC(M1,I,K,4)-WA3(I-1)*
     1       CC(M1,I-1,K,4))))
 1002       CONTINUE
  102    CONTINUE
  103 CONTINUE
      RETURN
      END