!-------------------------------------- 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 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCSUBROUTINE 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