[2759] | 1 | !CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC |
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| 2 | ! C |
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| 3 | ! Copyright (C) 1995 C |
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| 4 | ! University Corporation for Atmospheric Research C |
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| 5 | ! all rights reserved C |
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| 6 | ! C |
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| 7 | !CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC |
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| 8 | ! |
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| 9 | ! File: cmf5kf.f |
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| 10 | ! |
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| 11 | ! Library: FFTPACK 5.0 |
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| 12 | ! |
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| 13 | ! Authors: Paul N. Swarztrauber and Richard A. Valent |
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| 14 | ! National Center for Atmospheric Research |
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| 15 | ! PO 3000, Boulder, Colorado |
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| 16 | ! |
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| 17 | ! Date: Wed Mar 29 18:31:13 MST 1995 |
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| 18 | ! |
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| 19 | ! Description: Lower-level auxiliary routine |
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| 20 | ! |
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| 21 | SUBROUTINE CMF5KF (LOT,IDO,L1,NA,CC,IM1,IN1,CH,IM2,IN2,WA) |
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| 22 | REAL CC(2,IN1,L1,IDO,5),CH(2,IN2,L1,5,IDO),WA(IDO,4,2) |
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| 23 | DATA TR11,TI11,TR12,TI12 /.3090169943749474,-.9510565162951536, & |
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| 24 | &-.8090169943749474,-.5877852522924731/ |
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| 25 | ! |
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| 26 | ! FFTPACK 5.0 auxiliary routine |
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| 27 | ! |
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| 28 | M1D = (LOT-1)*IM1+1 |
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| 29 | M2S = 1-IM2 |
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| 30 | IF (IDO .GT. 1) GO TO 102 |
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| 31 | SN = 1./REAL(5*L1) |
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| 32 | IF (NA .EQ. 1) GO TO 106 |
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| 33 | DO 101 K=1,L1 |
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| 34 | DO 101 M1=1,M1D,IM1 |
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| 35 | TI5 = CC(2,M1,K,1,2)-CC(2,M1,K,1,5) |
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| 36 | TI2 = CC(2,M1,K,1,2)+CC(2,M1,K,1,5) |
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| 37 | TI4 = CC(2,M1,K,1,3)-CC(2,M1,K,1,4) |
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| 38 | TI3 = CC(2,M1,K,1,3)+CC(2,M1,K,1,4) |
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| 39 | TR5 = CC(1,M1,K,1,2)-CC(1,M1,K,1,5) |
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| 40 | TR2 = CC(1,M1,K,1,2)+CC(1,M1,K,1,5) |
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| 41 | TR4 = CC(1,M1,K,1,3)-CC(1,M1,K,1,4) |
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| 42 | TR3 = CC(1,M1,K,1,3)+CC(1,M1,K,1,4) |
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| 43 | CHOLD1 = SN*(CC(1,M1,K,1,1)+TR2+TR3) |
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| 44 | CHOLD2 = SN*(CC(2,M1,K,1,1)+TI2+TI3) |
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| 45 | CR2 = CC(1,M1,K,1,1)+TR11*TR2+TR12*TR3 |
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| 46 | CI2 = CC(2,M1,K,1,1)+TR11*TI2+TR12*TI3 |
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| 47 | CR3 = CC(1,M1,K,1,1)+TR12*TR2+TR11*TR3 |
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| 48 | CI3 = CC(2,M1,K,1,1)+TR12*TI2+TR11*TI3 |
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| 49 | CC(1,M1,K,1,1) = CHOLD1 |
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| 50 | CC(2,M1,K,1,1) = CHOLD2 |
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| 51 | CR5 = TI11*TR5+TI12*TR4 |
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| 52 | CI5 = TI11*TI5+TI12*TI4 |
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| 53 | CR4 = TI12*TR5-TI11*TR4 |
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| 54 | CI4 = TI12*TI5-TI11*TI4 |
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| 55 | CC(1,M1,K,1,2) = SN*(CR2-CI5) |
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| 56 | CC(1,M1,K,1,5) = SN*(CR2+CI5) |
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| 57 | CC(2,M1,K,1,2) = SN*(CI2+CR5) |
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| 58 | CC(2,M1,K,1,3) = SN*(CI3+CR4) |
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| 59 | CC(1,M1,K,1,3) = SN*(CR3-CI4) |
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| 60 | CC(1,M1,K,1,4) = SN*(CR3+CI4) |
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| 61 | CC(2,M1,K,1,4) = SN*(CI3-CR4) |
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| 62 | CC(2,M1,K,1,5) = SN*(CI2-CR5) |
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| 63 | 101 CONTINUE |
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| 64 | RETURN |
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| 65 | 106 DO 107 K=1,L1 |
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| 66 | M2 = M2S |
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| 67 | DO 107 M1=1,M1D,IM1 |
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| 68 | M2 = M2+IM2 |
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| 69 | TI5 = CC(2,M1,K,1,2)-CC(2,M1,K,1,5) |
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| 70 | TI2 = CC(2,M1,K,1,2)+CC(2,M1,K,1,5) |
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| 71 | TI4 = CC(2,M1,K,1,3)-CC(2,M1,K,1,4) |
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| 72 | TI3 = CC(2,M1,K,1,3)+CC(2,M1,K,1,4) |
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| 73 | TR5 = CC(1,M1,K,1,2)-CC(1,M1,K,1,5) |
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| 74 | TR2 = CC(1,M1,K,1,2)+CC(1,M1,K,1,5) |
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| 75 | TR4 = CC(1,M1,K,1,3)-CC(1,M1,K,1,4) |
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| 76 | TR3 = CC(1,M1,K,1,3)+CC(1,M1,K,1,4) |
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| 77 | CH(1,M2,K,1,1) = SN*(CC(1,M1,K,1,1)+TR2+TR3) |
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| 78 | CH(2,M2,K,1,1) = SN*(CC(2,M1,K,1,1)+TI2+TI3) |
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| 79 | CR2 = CC(1,M1,K,1,1)+TR11*TR2+TR12*TR3 |
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| 80 | CI2 = CC(2,M1,K,1,1)+TR11*TI2+TR12*TI3 |
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| 81 | CR3 = CC(1,M1,K,1,1)+TR12*TR2+TR11*TR3 |
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| 82 | CI3 = CC(2,M1,K,1,1)+TR12*TI2+TR11*TI3 |
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| 83 | CR5 = TI11*TR5+TI12*TR4 |
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| 84 | CI5 = TI11*TI5+TI12*TI4 |
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| 85 | CR4 = TI12*TR5-TI11*TR4 |
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| 86 | CI4 = TI12*TI5-TI11*TI4 |
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| 87 | CH(1,M2,K,2,1) = SN*(CR2-CI5) |
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| 88 | CH(1,M2,K,5,1) = SN*(CR2+CI5) |
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| 89 | CH(2,M2,K,2,1) = SN*(CI2+CR5) |
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| 90 | CH(2,M2,K,3,1) = SN*(CI3+CR4) |
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| 91 | CH(1,M2,K,3,1) = SN*(CR3-CI4) |
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| 92 | CH(1,M2,K,4,1) = SN*(CR3+CI4) |
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| 93 | CH(2,M2,K,4,1) = SN*(CI3-CR4) |
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| 94 | CH(2,M2,K,5,1) = SN*(CI2-CR5) |
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| 95 | 107 CONTINUE |
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| 96 | RETURN |
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| 97 | 102 DO 103 K=1,L1 |
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| 98 | M2 = M2S |
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| 99 | DO 103 M1=1,M1D,IM1 |
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| 100 | M2 = M2+IM2 |
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| 101 | TI5 = CC(2,M1,K,1,2)-CC(2,M1,K,1,5) |
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| 102 | TI2 = CC(2,M1,K,1,2)+CC(2,M1,K,1,5) |
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| 103 | TI4 = CC(2,M1,K,1,3)-CC(2,M1,K,1,4) |
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| 104 | TI3 = CC(2,M1,K,1,3)+CC(2,M1,K,1,4) |
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| 105 | TR5 = CC(1,M1,K,1,2)-CC(1,M1,K,1,5) |
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| 106 | TR2 = CC(1,M1,K,1,2)+CC(1,M1,K,1,5) |
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| 107 | TR4 = CC(1,M1,K,1,3)-CC(1,M1,K,1,4) |
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| 108 | TR3 = CC(1,M1,K,1,3)+CC(1,M1,K,1,4) |
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| 109 | CH(1,M2,K,1,1) = CC(1,M1,K,1,1)+TR2+TR3 |
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| 110 | CH(2,M2,K,1,1) = CC(2,M1,K,1,1)+TI2+TI3 |
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| 111 | CR2 = CC(1,M1,K,1,1)+TR11*TR2+TR12*TR3 |
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| 112 | CI2 = CC(2,M1,K,1,1)+TR11*TI2+TR12*TI3 |
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| 113 | CR3 = CC(1,M1,K,1,1)+TR12*TR2+TR11*TR3 |
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| 114 | CI3 = CC(2,M1,K,1,1)+TR12*TI2+TR11*TI3 |
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| 115 | CR5 = TI11*TR5+TI12*TR4 |
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| 116 | CI5 = TI11*TI5+TI12*TI4 |
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| 117 | CR4 = TI12*TR5-TI11*TR4 |
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| 118 | CI4 = TI12*TI5-TI11*TI4 |
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| 119 | CH(1,M2,K,2,1) = CR2-CI5 |
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| 120 | CH(1,M2,K,5,1) = CR2+CI5 |
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| 121 | CH(2,M2,K,2,1) = CI2+CR5 |
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| 122 | CH(2,M2,K,3,1) = CI3+CR4 |
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| 123 | CH(1,M2,K,3,1) = CR3-CI4 |
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| 124 | CH(1,M2,K,4,1) = CR3+CI4 |
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| 125 | CH(2,M2,K,4,1) = CI3-CR4 |
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| 126 | CH(2,M2,K,5,1) = CI2-CR5 |
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| 127 | 103 CONTINUE |
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| 128 | DO 105 I=2,IDO |
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| 129 | DO 104 K=1,L1 |
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| 130 | M2 = M2S |
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| 131 | DO 104 M1=1,M1D,IM1 |
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| 132 | M2 = M2+IM2 |
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| 133 | TI5 = CC(2,M1,K,I,2)-CC(2,M1,K,I,5) |
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| 134 | TI2 = CC(2,M1,K,I,2)+CC(2,M1,K,I,5) |
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| 135 | TI4 = CC(2,M1,K,I,3)-CC(2,M1,K,I,4) |
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| 136 | TI3 = CC(2,M1,K,I,3)+CC(2,M1,K,I,4) |
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| 137 | TR5 = CC(1,M1,K,I,2)-CC(1,M1,K,I,5) |
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| 138 | TR2 = CC(1,M1,K,I,2)+CC(1,M1,K,I,5) |
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| 139 | TR4 = CC(1,M1,K,I,3)-CC(1,M1,K,I,4) |
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| 140 | TR3 = CC(1,M1,K,I,3)+CC(1,M1,K,I,4) |
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| 141 | CH(1,M2,K,1,I) = CC(1,M1,K,I,1)+TR2+TR3 |
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| 142 | CH(2,M2,K,1,I) = CC(2,M1,K,I,1)+TI2+TI3 |
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| 143 | CR2 = CC(1,M1,K,I,1)+TR11*TR2+TR12*TR3 |
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| 144 | CI2 = CC(2,M1,K,I,1)+TR11*TI2+TR12*TI3 |
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| 145 | CR3 = CC(1,M1,K,I,1)+TR12*TR2+TR11*TR3 |
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| 146 | CI3 = CC(2,M1,K,I,1)+TR12*TI2+TR11*TI3 |
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| 147 | CR5 = TI11*TR5+TI12*TR4 |
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| 148 | CI5 = TI11*TI5+TI12*TI4 |
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| 149 | CR4 = TI12*TR5-TI11*TR4 |
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| 150 | CI4 = TI12*TI5-TI11*TI4 |
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| 151 | DR3 = CR3-CI4 |
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| 152 | DR4 = CR3+CI4 |
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| 153 | DI3 = CI3+CR4 |
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| 154 | DI4 = CI3-CR4 |
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| 155 | DR5 = CR2+CI5 |
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| 156 | DR2 = CR2-CI5 |
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| 157 | DI5 = CI2-CR5 |
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| 158 | DI2 = CI2+CR5 |
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| 159 | CH(1,M2,K,2,I) = WA(I,1,1)*DR2+WA(I,1,2)*DI2 |
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| 160 | CH(2,M2,K,2,I) = WA(I,1,1)*DI2-WA(I,1,2)*DR2 |
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| 161 | CH(1,M2,K,3,I) = WA(I,2,1)*DR3+WA(I,2,2)*DI3 |
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| 162 | CH(2,M2,K,3,I) = WA(I,2,1)*DI3-WA(I,2,2)*DR3 |
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| 163 | CH(1,M2,K,4,I) = WA(I,3,1)*DR4+WA(I,3,2)*DI4 |
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| 164 | CH(2,M2,K,4,I) = WA(I,3,1)*DI4-WA(I,3,2)*DR4 |
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| 165 | CH(1,M2,K,5,I) = WA(I,4,1)*DR5+WA(I,4,2)*DI5 |
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| 166 | CH(2,M2,K,5,I) = WA(I,4,1)*DI5-WA(I,4,2)*DR5 |
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| 167 | 104 CONTINUE |
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| 168 | 105 END DO |
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| 169 | RETURN |
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| 170 | END |
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