!CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC ! ! FFTPACK 5.0 ! ! Authors: Paul N. Swarztrauber and Richard A. Valent ! ! $Id: mradf5.f,v 1.2 2004/06/15 21:29:20 rodney Exp $ ! !CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC SUBROUTINE MRADF5 (M,IDO,L1,CC,IM1,IN1,CH,IM2,IN2, & & WA1,WA2,WA3,WA4) REAL CC(IN1,IDO,L1,5) ,CH(IN2,IDO,5,L1) , & & WA1(IDO) ,WA2(IDO) ,WA3(IDO) ,WA4(IDO) ! M1D = (M-1)*IM1+1 M2S = 1-IM2 ARG=2.*4.*ATAN(1.0)/5. TR11=COS(ARG) TI11=SIN(ARG) TR12=COS(2.*ARG) TI12=SIN(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))+ & & (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))+& & 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* & & (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))+& & 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* & & (CC(M1,1,K,4)-CC(M1,1,K,3)) 1001 CONTINUE 101 END DO 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)+ & & WA1(I-1)*CC(M1,I,K,2))+(WA4(I-2)*CC(M1,I-1,K,5)+WA4(I-1)* & & CC(M1,I,K,5)))+((WA2(I-2)*CC(M1,I-1,K,3)+WA2(I-1)* & & CC(M1,I,K,3))+(WA3(I-2)*CC(M1,I-1,K,4)+ & & 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)- & & WA1(I-1)*CC(M1,I-1,K,2))+(WA4(I-2)*CC(M1,I,K,5)-WA4(I-1)* & & CC(M1,I-1,K,5)))+((WA2(I-2)*CC(M1,I,K,3)-WA2(I-1)* & & CC(M1,I-1,K,3))+(WA3(I-2)*CC(M1,I,K,4)-WA3(I-1)* & & CC(M1,I-1,K,4))) CH(M2,I-1,3,K) = CC(M1,I-1,K,1)+TR11* & & ( WA1(I-2)*CC(M1,I-1,K,2)+WA1(I-1)*CC(M1,I,K,2) & & +WA4(I-2)*CC(M1,I-1,K,5)+WA4(I-1)*CC(M1,I,K,5))+TR12* & & ( WA2(I-2)*CC(M1,I-1,K,3)+WA2(I-1)*CC(M1,I,K,3) & & +WA3(I-2)*CC(M1,I-1,K,4)+WA3(I-1)*CC(M1,I,K,4))+TI11* & & ( WA1(I-2)*CC(M1,I,K,2)-WA1(I-1)*CC(M1,I-1,K,2) & & -(WA4(I-2)*CC(M1,I,K,5)-WA4(I-1)*CC(M1,I-1,K,5)))+TI12* & & ( WA2(I-2)*CC(M1,I,K,3)-WA2(I-1)*CC(M1,I-1,K,3) & & -(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* & & ( WA1(I-2)*CC(M1,I-1,K,2)+WA1(I-1)*CC(M1,I,K,2) & & +WA4(I-2)*CC(M1,I-1,K,5)+WA4(I-1)*CC(M1,I,K,5))+TR12* & & ( WA2(I-2)*CC(M1,I-1,K,3)+WA2(I-1)*CC(M1,I,K,3) & & +WA3(I-2)*CC(M1,I-1,K,4)+WA3(I-1)*CC(M1,I,K,4))-(TI11* & & ( WA1(I-2)*CC(M1,I,K,2)-WA1(I-1)*CC(M1,I-1,K,2) & & -(WA4(I-2)*CC(M1,I,K,5)-WA4(I-1)*CC(M1,I-1,K,5)))+TI12* & & ( WA2(I-2)*CC(M1,I,K,3)-WA2(I-1)*CC(M1,I-1,K,3) & & -(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)- & & WA1(I-1)*CC(M1,I-1,K,2))+(WA4(I-2)*CC(M1,I,K,5)-WA4(I-1)* & & CC(M1,I-1,K,5)))+TR12*((WA2(I-2)*CC(M1,I,K,3)-WA2(I-1)* & & CC(M1,I-1,K,3))+(WA3(I-2)*CC(M1,I,K,4)-WA3(I-1)* & & CC(M1,I-1,K,4))))+(TI11*((WA4(I-2)*CC(M1,I-1,K,5)+ & & WA4(I-1)*CC(M1,I,K,5))-(WA1(I-2)*CC(M1,I-1,K,2)+WA1(I-1)* & & CC(M1,I,K,2)))+TI12*((WA3(I-2)*CC(M1,I-1,K,4)+WA3(I-1)* & & CC(M1,I,K,4))-(WA2(I-2)*CC(M1,I-1,K,3)+WA2(I-1)* & & CC(M1,I,K,3)))) CH(M2,IC,2,K) = (TI11*((WA4(I-2)*CC(M1,I-1,K,5)+WA4(I-1)* & & CC(M1,I,K,5))-(WA1(I-2)*CC(M1,I-1,K,2)+WA1(I-1)* & & CC(M1,I,K,2)))+TI12*((WA3(I-2)*CC(M1,I-1,K,4)+WA3(I-1)* & & CC(M1,I,K,4))-(WA2(I-2)*CC(M1,I-1,K,3)+WA2(I-1)* & & CC(M1,I,K,3))))-(CC(M1,I,K,1)+TR11*((WA1(I-2)*CC(M1,I,K,2)-& & WA1(I-1)*CC(M1,I-1,K,2))+(WA4(I-2)*CC(M1,I,K,5)-WA4(I-1)* & & CC(M1,I-1,K,5)))+TR12*((WA2(I-2)*CC(M1,I,K,3)-WA2(I-1)* & & CC(M1,I-1,K,3))+(WA3(I-2)*CC(M1,I,K,4)-WA3(I-1)* & & CC(M1,I-1,K,4)))) CH(M2,I-1,5,K) = (CC(M1,I-1,K,1)+TR12*((WA1(I-2)* & & CC(M1,I-1,K,2)+WA1(I-1)*CC(M1,I,K,2))+(WA4(I-2)* & & CC(M1,I-1,K,5)+WA4(I-1)*CC(M1,I,K,5)))+TR11*((WA2(I-2)* & & CC(M1,I-1,K,3)+WA2(I-1)*CC(M1,I,K,3))+(WA3(I-2)* & & CC(M1,I-1,K,4)+WA3(I-1)*CC(M1,I,K,4))))+(TI12*((WA1(I-2)* & & CC(M1,I,K,2)-WA1(I-1)*CC(M1,I-1,K,2))-(WA4(I-2)* & & CC(M1,I,K,5)-WA4(I-1)*CC(M1,I-1,K,5)))-TI11*((WA2(I-2)* & & CC(M1,I,K,3)-WA2(I-1)*CC(M1,I-1,K,3))-(WA3(I-2)* & & 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)* & & CC(M1,I-1,K,2)+WA1(I-1)*CC(M1,I,K,2))+(WA4(I-2)* & & CC(M1,I-1,K,5)+WA4(I-1)*CC(M1,I,K,5)))+TR11*((WA2(I-2)* & & CC(M1,I-1,K,3)+WA2(I-1)*CC(M1,I,K,3))+(WA3(I-2)* & & CC(M1,I-1,K,4)+WA3(I-1)*CC(M1,I,K,4))))-(TI12*((WA1(I-2)* & & CC(M1,I,K,2)-WA1(I-1)*CC(M1,I-1,K,2))-(WA4(I-2)* & & CC(M1,I,K,5)-WA4(I-1)*CC(M1,I-1,K,5)))-TI11*((WA2(I-2)* & & CC(M1,I,K,3)-WA2(I-1)*CC(M1,I-1,K,3))-(WA3(I-2)* & & 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)- & & WA1(I-1)*CC(M1,I-1,K,2))+(WA4(I-2)*CC(M1,I,K,5)-WA4(I-1)* & & CC(M1,I-1,K,5)))+TR11*((WA2(I-2)*CC(M1,I,K,3)-WA2(I-1)* & & CC(M1,I-1,K,3))+(WA3(I-2)*CC(M1,I,K,4)-WA3(I-1)* & & CC(M1,I-1,K,4))))+(TI12*((WA4(I-2)*CC(M1,I-1,K,5)+ & & WA4(I-1)*CC(M1,I,K,5))-(WA1(I-2)*CC(M1,I-1,K,2)+WA1(I-1)* & & CC(M1,I,K,2)))-TI11*((WA3(I-2)*CC(M1,I-1,K,4)+WA3(I-1)* & & CC(M1,I,K,4))-(WA2(I-2)*CC(M1,I-1,K,3)+WA2(I-1)* & & CC(M1,I,K,3)))) CH(M2,IC,4,K) = (TI12*((WA4(I-2)*CC(M1,I-1,K,5)+WA4(I-1)* & & CC(M1,I,K,5))-(WA1(I-2)*CC(M1,I-1,K,2)+WA1(I-1)* & & CC(M1,I,K,2)))-TI11*((WA3(I-2)*CC(M1,I-1,K,4)+WA3(I-1)* & & CC(M1,I,K,4))-(WA2(I-2)*CC(M1,I-1,K,3)+WA2(I-1)* & & CC(M1,I,K,3))))-(CC(M1,I,K,1)+TR12*((WA1(I-2)*CC(M1,I,K,2)-& & WA1(I-1)*CC(M1,I-1,K,2))+(WA4(I-2)*CC(M1,I,K,5)-WA4(I-1)* & & CC(M1,I-1,K,5)))+TR11*((WA2(I-2)*CC(M1,I,K,3)-WA2(I-1)* & & CC(M1,I-1,K,3))+(WA3(I-2)*CC(M1,I,K,4)-WA3(I-1)* & & CC(M1,I-1,K,4)))) 1002 CONTINUE 102 CONTINUE 103 END DO RETURN END