!CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC ! C ! Copyright (C) 1995 C ! University Corporation for Atmospheric Research C ! all rights reserved C ! C !CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC ! ! File: cmf5kf.f ! ! Library: FFTPACK 5.0 ! ! Authors: Paul N. Swarztrauber and Richard A. Valent ! National Center for Atmospheric Research ! PO 3000, Boulder, Colorado ! ! Date: Wed Mar 29 18:31:13 MST 1995 ! ! Description: Lower-level auxiliary routine ! SUBROUTINE CMF5KF (LOT,IDO,L1,NA,CC,IM1,IN1,CH,IM2,IN2,WA) REAL CC(2,IN1,L1,IDO,5),CH(2,IN2,L1,5,IDO),WA(IDO,4,2) DATA TR11,TI11,TR12,TI12 /.3090169943749474,-.9510565162951536, & &-.8090169943749474,-.5877852522924731/ ! ! FFTPACK 5.0 auxiliary routine ! M1D = (LOT-1)*IM1+1 M2S = 1-IM2 IF (IDO .GT. 1) GO TO 102 SN = 1./REAL(5*L1) IF (NA .EQ. 1) GO TO 106 DO 101 K=1,L1 DO 101 M1=1,M1D,IM1 TI5 = CC(2,M1,K,1,2)-CC(2,M1,K,1,5) TI2 = CC(2,M1,K,1,2)+CC(2,M1,K,1,5) TI4 = CC(2,M1,K,1,3)-CC(2,M1,K,1,4) TI3 = CC(2,M1,K,1,3)+CC(2,M1,K,1,4) TR5 = CC(1,M1,K,1,2)-CC(1,M1,K,1,5) TR2 = CC(1,M1,K,1,2)+CC(1,M1,K,1,5) TR4 = CC(1,M1,K,1,3)-CC(1,M1,K,1,4) TR3 = CC(1,M1,K,1,3)+CC(1,M1,K,1,4) CHOLD1 = SN*(CC(1,M1,K,1,1)+TR2+TR3) CHOLD2 = SN*(CC(2,M1,K,1,1)+TI2+TI3) CR2 = CC(1,M1,K,1,1)+TR11*TR2+TR12*TR3 CI2 = CC(2,M1,K,1,1)+TR11*TI2+TR12*TI3 CR3 = CC(1,M1,K,1,1)+TR12*TR2+TR11*TR3 CI3 = CC(2,M1,K,1,1)+TR12*TI2+TR11*TI3 CC(1,M1,K,1,1) = CHOLD1 CC(2,M1,K,1,1) = CHOLD2 CR5 = TI11*TR5+TI12*TR4 CI5 = TI11*TI5+TI12*TI4 CR4 = TI12*TR5-TI11*TR4 CI4 = TI12*TI5-TI11*TI4 CC(1,M1,K,1,2) = SN*(CR2-CI5) CC(1,M1,K,1,5) = SN*(CR2+CI5) CC(2,M1,K,1,2) = SN*(CI2+CR5) CC(2,M1,K,1,3) = SN*(CI3+CR4) CC(1,M1,K,1,3) = SN*(CR3-CI4) CC(1,M1,K,1,4) = SN*(CR3+CI4) CC(2,M1,K,1,4) = SN*(CI3-CR4) CC(2,M1,K,1,5) = SN*(CI2-CR5) 101 CONTINUE RETURN 106 DO 107 K=1,L1 M2 = M2S DO 107 M1=1,M1D,IM1 M2 = M2+IM2 TI5 = CC(2,M1,K,1,2)-CC(2,M1,K,1,5) TI2 = CC(2,M1,K,1,2)+CC(2,M1,K,1,5) TI4 = CC(2,M1,K,1,3)-CC(2,M1,K,1,4) TI3 = CC(2,M1,K,1,3)+CC(2,M1,K,1,4) TR5 = CC(1,M1,K,1,2)-CC(1,M1,K,1,5) TR2 = CC(1,M1,K,1,2)+CC(1,M1,K,1,5) TR4 = CC(1,M1,K,1,3)-CC(1,M1,K,1,4) TR3 = CC(1,M1,K,1,3)+CC(1,M1,K,1,4) CH(1,M2,K,1,1) = SN*(CC(1,M1,K,1,1)+TR2+TR3) CH(2,M2,K,1,1) = SN*(CC(2,M1,K,1,1)+TI2+TI3) CR2 = CC(1,M1,K,1,1)+TR11*TR2+TR12*TR3 CI2 = CC(2,M1,K,1,1)+TR11*TI2+TR12*TI3 CR3 = CC(1,M1,K,1,1)+TR12*TR2+TR11*TR3 CI3 = CC(2,M1,K,1,1)+TR12*TI2+TR11*TI3 CR5 = TI11*TR5+TI12*TR4 CI5 = TI11*TI5+TI12*TI4 CR4 = TI12*TR5-TI11*TR4 CI4 = TI12*TI5-TI11*TI4 CH(1,M2,K,2,1) = SN*(CR2-CI5) CH(1,M2,K,5,1) = SN*(CR2+CI5) CH(2,M2,K,2,1) = SN*(CI2+CR5) CH(2,M2,K,3,1) = SN*(CI3+CR4) CH(1,M2,K,3,1) = SN*(CR3-CI4) CH(1,M2,K,4,1) = SN*(CR3+CI4) CH(2,M2,K,4,1) = SN*(CI3-CR4) CH(2,M2,K,5,1) = SN*(CI2-CR5) 107 CONTINUE RETURN 102 DO 103 K=1,L1 M2 = M2S DO 103 M1=1,M1D,IM1 M2 = M2+IM2 TI5 = CC(2,M1,K,1,2)-CC(2,M1,K,1,5) TI2 = CC(2,M1,K,1,2)+CC(2,M1,K,1,5) TI4 = CC(2,M1,K,1,3)-CC(2,M1,K,1,4) TI3 = CC(2,M1,K,1,3)+CC(2,M1,K,1,4) TR5 = CC(1,M1,K,1,2)-CC(1,M1,K,1,5) TR2 = CC(1,M1,K,1,2)+CC(1,M1,K,1,5) TR4 = CC(1,M1,K,1,3)-CC(1,M1,K,1,4) TR3 = CC(1,M1,K,1,3)+CC(1,M1,K,1,4) CH(1,M2,K,1,1) = CC(1,M1,K,1,1)+TR2+TR3 CH(2,M2,K,1,1) = CC(2,M1,K,1,1)+TI2+TI3 CR2 = CC(1,M1,K,1,1)+TR11*TR2+TR12*TR3 CI2 = CC(2,M1,K,1,1)+TR11*TI2+TR12*TI3 CR3 = CC(1,M1,K,1,1)+TR12*TR2+TR11*TR3 CI3 = CC(2,M1,K,1,1)+TR12*TI2+TR11*TI3 CR5 = TI11*TR5+TI12*TR4 CI5 = TI11*TI5+TI12*TI4 CR4 = TI12*TR5-TI11*TR4 CI4 = TI12*TI5-TI11*TI4 CH(1,M2,K,2,1) = CR2-CI5 CH(1,M2,K,5,1) = CR2+CI5 CH(2,M2,K,2,1) = CI2+CR5 CH(2,M2,K,3,1) = CI3+CR4 CH(1,M2,K,3,1) = CR3-CI4 CH(1,M2,K,4,1) = CR3+CI4 CH(2,M2,K,4,1) = CI3-CR4 CH(2,M2,K,5,1) = CI2-CR5 103 CONTINUE DO 105 I=2,IDO DO 104 K=1,L1 M2 = M2S DO 104 M1=1,M1D,IM1 M2 = M2+IM2 TI5 = CC(2,M1,K,I,2)-CC(2,M1,K,I,5) TI2 = CC(2,M1,K,I,2)+CC(2,M1,K,I,5) TI4 = CC(2,M1,K,I,3)-CC(2,M1,K,I,4) TI3 = CC(2,M1,K,I,3)+CC(2,M1,K,I,4) TR5 = CC(1,M1,K,I,2)-CC(1,M1,K,I,5) TR2 = CC(1,M1,K,I,2)+CC(1,M1,K,I,5) TR4 = CC(1,M1,K,I,3)-CC(1,M1,K,I,4) TR3 = CC(1,M1,K,I,3)+CC(1,M1,K,I,4) CH(1,M2,K,1,I) = CC(1,M1,K,I,1)+TR2+TR3 CH(2,M2,K,1,I) = CC(2,M1,K,I,1)+TI2+TI3 CR2 = CC(1,M1,K,I,1)+TR11*TR2+TR12*TR3 CI2 = CC(2,M1,K,I,1)+TR11*TI2+TR12*TI3 CR3 = CC(1,M1,K,I,1)+TR12*TR2+TR11*TR3 CI3 = CC(2,M1,K,I,1)+TR12*TI2+TR11*TI3 CR5 = TI11*TR5+TI12*TR4 CI5 = TI11*TI5+TI12*TI4 CR4 = TI12*TR5-TI11*TR4 CI4 = TI12*TI5-TI11*TI4 DR3 = CR3-CI4 DR4 = CR3+CI4 DI3 = CI3+CR4 DI4 = CI3-CR4 DR5 = CR2+CI5 DR2 = CR2-CI5 DI5 = CI2-CR5 DI2 = CI2+CR5 CH(1,M2,K,2,I) = WA(I,1,1)*DR2+WA(I,1,2)*DI2 CH(2,M2,K,2,I) = WA(I,1,1)*DI2-WA(I,1,2)*DR2 CH(1,M2,K,3,I) = WA(I,2,1)*DR3+WA(I,2,2)*DI3 CH(2,M2,K,3,I) = WA(I,2,1)*DI3-WA(I,2,2)*DR3 CH(1,M2,K,4,I) = WA(I,3,1)*DR4+WA(I,3,2)*DI4 CH(2,M2,K,4,I) = WA(I,3,1)*DI4-WA(I,3,2)*DR4 CH(1,M2,K,5,I) = WA(I,4,1)*DR5+WA(I,4,2)*DI5 CH(2,M2,K,5,I) = WA(I,4,1)*DI5-WA(I,4,2)*DR5 104 CONTINUE 105 END DO RETURN END