| 1 | !CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC |
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| 2 | ! |
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| 3 | ! FFTPACK 5.0 |
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| 4 | ! Copyright (C) 1995-2004, Scientific Computing Division, |
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| 5 | ! University Corporation for Atmospheric Research |
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| 6 | ! Licensed under the GNU General Public License (GPL) |
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| 7 | ! |
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| 8 | ! Authors: Paul N. Swarztrauber and Richard A. Valent |
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| 9 | ! |
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| 10 | ! $Id: mradf5.f,v 1.2 2004/06/15 21:29:20 rodney Exp $ |
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| 11 | ! |
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| 12 | !CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC |
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| 13 | |
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| 14 | SUBROUTINE MRADF5 (M,IDO,L1,CC,IM1,IN1,CH,IM2,IN2, & |
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| 15 | & WA1,WA2,WA3,WA4) |
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| 16 | REAL CC(IN1,IDO,L1,5) ,CH(IN2,IDO,5,L1) , & |
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| 17 | & WA1(IDO) ,WA2(IDO) ,WA3(IDO) ,WA4(IDO) |
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| 18 | ! |
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| 19 | M1D = (M-1)*IM1+1 |
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| 20 | M2S = 1-IM2 |
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| 21 | ARG=2.*4.*ATAN(1.0)/5. |
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| 22 | TR11=COS(ARG) |
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| 23 | TI11=SIN(ARG) |
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| 24 | TR12=COS(2.*ARG) |
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| 25 | TI12=SIN(2.*ARG) |
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| 26 | DO 101 K=1,L1 |
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| 27 | M2 = M2S |
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| 28 | DO 1001 M1=1,M1D,IM1 |
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| 29 | M2 = M2+IM2 |
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| 30 | CH(M2,1,1,K) = CC(M1,1,K,1)+(CC(M1,1,K,5)+CC(M1,1,K,2))+ & |
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| 31 | & (CC(M1,1,K,4)+CC(M1,1,K,3)) |
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| 32 | CH(M2,IDO,2,K) = CC(M1,1,K,1)+TR11*(CC(M1,1,K,5)+CC(M1,1,K,2))+& |
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| 33 | & TR12*(CC(M1,1,K,4)+CC(M1,1,K,3)) |
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| 34 | CH(M2,1,3,K) = TI11*(CC(M1,1,K,5)-CC(M1,1,K,2))+TI12* & |
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| 35 | & (CC(M1,1,K,4)-CC(M1,1,K,3)) |
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| 36 | CH(M2,IDO,4,K) = CC(M1,1,K,1)+TR12*(CC(M1,1,K,5)+CC(M1,1,K,2))+& |
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| 37 | & TR11*(CC(M1,1,K,4)+CC(M1,1,K,3)) |
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| 38 | CH(M2,1,5,K) = TI12*(CC(M1,1,K,5)-CC(M1,1,K,2))-TI11* & |
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| 39 | & (CC(M1,1,K,4)-CC(M1,1,K,3)) |
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| 40 | 1001 CONTINUE |
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| 41 | 101 END DO |
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| 42 | IF (IDO .EQ. 1) RETURN |
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| 43 | IDP2 = IDO+2 |
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| 44 | DO 103 K=1,L1 |
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| 45 | DO 102 I=3,IDO,2 |
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| 46 | IC = IDP2-I |
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| 47 | M2 = M2S |
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| 48 | DO 1002 M1=1,M1D,IM1 |
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| 49 | M2 = M2+IM2 |
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| 50 | CH(M2,I-1,1,K) = CC(M1,I-1,K,1)+((WA1(I-2)*CC(M1,I-1,K,2)+ & |
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| 51 | & WA1(I-1)*CC(M1,I,K,2))+(WA4(I-2)*CC(M1,I-1,K,5)+WA4(I-1)* & |
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| 52 | & CC(M1,I,K,5)))+((WA2(I-2)*CC(M1,I-1,K,3)+WA2(I-1)* & |
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| 53 | & CC(M1,I,K,3))+(WA3(I-2)*CC(M1,I-1,K,4)+ & |
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| 54 | & WA3(I-1)*CC(M1,I,K,4))) |
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| 55 | CH(M2,I,1,K) = CC(M1,I,K,1)+((WA1(I-2)*CC(M1,I,K,2)- & |
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| 56 | & WA1(I-1)*CC(M1,I-1,K,2))+(WA4(I-2)*CC(M1,I,K,5)-WA4(I-1)* & |
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| 57 | & CC(M1,I-1,K,5)))+((WA2(I-2)*CC(M1,I,K,3)-WA2(I-1)* & |
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| 58 | & CC(M1,I-1,K,3))+(WA3(I-2)*CC(M1,I,K,4)-WA3(I-1)* & |
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| 59 | & CC(M1,I-1,K,4))) |
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| 60 | CH(M2,I-1,3,K) = CC(M1,I-1,K,1)+TR11* & |
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| 61 | & ( WA1(I-2)*CC(M1,I-1,K,2)+WA1(I-1)*CC(M1,I,K,2) & |
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| 62 | & +WA4(I-2)*CC(M1,I-1,K,5)+WA4(I-1)*CC(M1,I,K,5))+TR12* & |
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| 63 | & ( WA2(I-2)*CC(M1,I-1,K,3)+WA2(I-1)*CC(M1,I,K,3) & |
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| 64 | & +WA3(I-2)*CC(M1,I-1,K,4)+WA3(I-1)*CC(M1,I,K,4))+TI11* & |
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| 65 | & ( WA1(I-2)*CC(M1,I,K,2)-WA1(I-1)*CC(M1,I-1,K,2) & |
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| 66 | & -(WA4(I-2)*CC(M1,I,K,5)-WA4(I-1)*CC(M1,I-1,K,5)))+TI12* & |
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| 67 | & ( WA2(I-2)*CC(M1,I,K,3)-WA2(I-1)*CC(M1,I-1,K,3) & |
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| 68 | & -(WA3(I-2)*CC(M1,I,K,4)-WA3(I-1)*CC(M1,I-1,K,4))) |
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| 69 | CH(M2,IC-1,2,K) = CC(M1,I-1,K,1)+TR11* & |
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| 70 | & ( WA1(I-2)*CC(M1,I-1,K,2)+WA1(I-1)*CC(M1,I,K,2) & |
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| 71 | & +WA4(I-2)*CC(M1,I-1,K,5)+WA4(I-1)*CC(M1,I,K,5))+TR12* & |
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| 72 | & ( WA2(I-2)*CC(M1,I-1,K,3)+WA2(I-1)*CC(M1,I,K,3) & |
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| 73 | & +WA3(I-2)*CC(M1,I-1,K,4)+WA3(I-1)*CC(M1,I,K,4))-(TI11* & |
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| 74 | & ( WA1(I-2)*CC(M1,I,K,2)-WA1(I-1)*CC(M1,I-1,K,2) & |
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| 75 | & -(WA4(I-2)*CC(M1,I,K,5)-WA4(I-1)*CC(M1,I-1,K,5)))+TI12* & |
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| 76 | & ( WA2(I-2)*CC(M1,I,K,3)-WA2(I-1)*CC(M1,I-1,K,3) & |
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| 77 | & -(WA3(I-2)*CC(M1,I,K,4)-WA3(I-1)*CC(M1,I-1,K,4)))) |
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| 78 | CH(M2,I,3,K) = (CC(M1,I,K,1)+TR11*((WA1(I-2)*CC(M1,I,K,2)- & |
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| 79 | & WA1(I-1)*CC(M1,I-1,K,2))+(WA4(I-2)*CC(M1,I,K,5)-WA4(I-1)* & |
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| 80 | & CC(M1,I-1,K,5)))+TR12*((WA2(I-2)*CC(M1,I,K,3)-WA2(I-1)* & |
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| 81 | & CC(M1,I-1,K,3))+(WA3(I-2)*CC(M1,I,K,4)-WA3(I-1)* & |
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| 82 | & CC(M1,I-1,K,4))))+(TI11*((WA4(I-2)*CC(M1,I-1,K,5)+ & |
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| 83 | & WA4(I-1)*CC(M1,I,K,5))-(WA1(I-2)*CC(M1,I-1,K,2)+WA1(I-1)* & |
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| 84 | & CC(M1,I,K,2)))+TI12*((WA3(I-2)*CC(M1,I-1,K,4)+WA3(I-1)* & |
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| 85 | & CC(M1,I,K,4))-(WA2(I-2)*CC(M1,I-1,K,3)+WA2(I-1)* & |
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| 86 | & CC(M1,I,K,3)))) |
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| 87 | CH(M2,IC,2,K) = (TI11*((WA4(I-2)*CC(M1,I-1,K,5)+WA4(I-1)* & |
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| 88 | & CC(M1,I,K,5))-(WA1(I-2)*CC(M1,I-1,K,2)+WA1(I-1)* & |
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| 89 | & CC(M1,I,K,2)))+TI12*((WA3(I-2)*CC(M1,I-1,K,4)+WA3(I-1)* & |
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| 90 | & CC(M1,I,K,4))-(WA2(I-2)*CC(M1,I-1,K,3)+WA2(I-1)* & |
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| 91 | & CC(M1,I,K,3))))-(CC(M1,I,K,1)+TR11*((WA1(I-2)*CC(M1,I,K,2)-& |
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| 92 | & WA1(I-1)*CC(M1,I-1,K,2))+(WA4(I-2)*CC(M1,I,K,5)-WA4(I-1)* & |
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| 93 | & CC(M1,I-1,K,5)))+TR12*((WA2(I-2)*CC(M1,I,K,3)-WA2(I-1)* & |
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| 94 | & CC(M1,I-1,K,3))+(WA3(I-2)*CC(M1,I,K,4)-WA3(I-1)* & |
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| 95 | & CC(M1,I-1,K,4)))) |
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| 96 | CH(M2,I-1,5,K) = (CC(M1,I-1,K,1)+TR12*((WA1(I-2)* & |
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| 97 | & CC(M1,I-1,K,2)+WA1(I-1)*CC(M1,I,K,2))+(WA4(I-2)* & |
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| 98 | & CC(M1,I-1,K,5)+WA4(I-1)*CC(M1,I,K,5)))+TR11*((WA2(I-2)* & |
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| 99 | & CC(M1,I-1,K,3)+WA2(I-1)*CC(M1,I,K,3))+(WA3(I-2)* & |
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| 100 | & CC(M1,I-1,K,4)+WA3(I-1)*CC(M1,I,K,4))))+(TI12*((WA1(I-2)* & |
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| 101 | & CC(M1,I,K,2)-WA1(I-1)*CC(M1,I-1,K,2))-(WA4(I-2)* & |
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| 102 | & CC(M1,I,K,5)-WA4(I-1)*CC(M1,I-1,K,5)))-TI11*((WA2(I-2)* & |
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| 103 | & CC(M1,I,K,3)-WA2(I-1)*CC(M1,I-1,K,3))-(WA3(I-2)* & |
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| 104 | & CC(M1,I,K,4)-WA3(I-1)*CC(M1,I-1,K,4)))) |
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| 105 | CH(M2,IC-1,4,K) = (CC(M1,I-1,K,1)+TR12*((WA1(I-2)* & |
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| 106 | & CC(M1,I-1,K,2)+WA1(I-1)*CC(M1,I,K,2))+(WA4(I-2)* & |
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| 107 | & CC(M1,I-1,K,5)+WA4(I-1)*CC(M1,I,K,5)))+TR11*((WA2(I-2)* & |
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| 108 | & CC(M1,I-1,K,3)+WA2(I-1)*CC(M1,I,K,3))+(WA3(I-2)* & |
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| 109 | & CC(M1,I-1,K,4)+WA3(I-1)*CC(M1,I,K,4))))-(TI12*((WA1(I-2)* & |
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| 110 | & CC(M1,I,K,2)-WA1(I-1)*CC(M1,I-1,K,2))-(WA4(I-2)* & |
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| 111 | & CC(M1,I,K,5)-WA4(I-1)*CC(M1,I-1,K,5)))-TI11*((WA2(I-2)* & |
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| 112 | & CC(M1,I,K,3)-WA2(I-1)*CC(M1,I-1,K,3))-(WA3(I-2)* & |
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| 113 | & CC(M1,I,K,4)-WA3(I-1)*CC(M1,I-1,K,4)))) |
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| 114 | CH(M2,I,5,K) = (CC(M1,I,K,1)+TR12*((WA1(I-2)*CC(M1,I,K,2)- & |
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| 115 | & WA1(I-1)*CC(M1,I-1,K,2))+(WA4(I-2)*CC(M1,I,K,5)-WA4(I-1)* & |
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| 116 | & CC(M1,I-1,K,5)))+TR11*((WA2(I-2)*CC(M1,I,K,3)-WA2(I-1)* & |
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| 117 | & CC(M1,I-1,K,3))+(WA3(I-2)*CC(M1,I,K,4)-WA3(I-1)* & |
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| 118 | & CC(M1,I-1,K,4))))+(TI12*((WA4(I-2)*CC(M1,I-1,K,5)+ & |
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| 119 | & WA4(I-1)*CC(M1,I,K,5))-(WA1(I-2)*CC(M1,I-1,K,2)+WA1(I-1)* & |
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| 120 | & CC(M1,I,K,2)))-TI11*((WA3(I-2)*CC(M1,I-1,K,4)+WA3(I-1)* & |
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| 121 | & CC(M1,I,K,4))-(WA2(I-2)*CC(M1,I-1,K,3)+WA2(I-1)* & |
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| 122 | & CC(M1,I,K,3)))) |
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| 123 | CH(M2,IC,4,K) = (TI12*((WA4(I-2)*CC(M1,I-1,K,5)+WA4(I-1)* & |
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| 124 | & CC(M1,I,K,5))-(WA1(I-2)*CC(M1,I-1,K,2)+WA1(I-1)* & |
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| 125 | & CC(M1,I,K,2)))-TI11*((WA3(I-2)*CC(M1,I-1,K,4)+WA3(I-1)* & |
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| 126 | & CC(M1,I,K,4))-(WA2(I-2)*CC(M1,I-1,K,3)+WA2(I-1)* & |
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| 127 | & CC(M1,I,K,3))))-(CC(M1,I,K,1)+TR12*((WA1(I-2)*CC(M1,I,K,2)-& |
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| 128 | & WA1(I-1)*CC(M1,I-1,K,2))+(WA4(I-2)*CC(M1,I,K,5)-WA4(I-1)* & |
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| 129 | & CC(M1,I-1,K,5)))+TR11*((WA2(I-2)*CC(M1,I,K,3)-WA2(I-1)* & |
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| 130 | & CC(M1,I-1,K,3))+(WA3(I-2)*CC(M1,I,K,4)-WA3(I-1)* & |
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| 131 | & CC(M1,I-1,K,4)))) |
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| 132 | 1002 CONTINUE |
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| 133 | 102 CONTINUE |
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| 134 | 103 END DO |
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| 135 | RETURN |
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| 136 | END |
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