1 | !CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC |
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2 | ! |
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3 | ! FFTPACK 5.0 |
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4 | ! |
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5 | ! Authors: Paul N. Swarztrauber and Richard A. Valent |
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6 | ! |
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7 | ! $Id: mradf4.f,v 1.2 2004/06/15 21:29:20 rodney Exp $ |
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8 | ! |
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9 | !CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC |
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10 | |
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11 | SUBROUTINE MRADF4 (M,IDO,L1,CC,IM1,IN1,CH,IM2,IN2,WA1,WA2,WA3) |
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12 | REAL CC(IN1,IDO,L1,4) ,CH(IN2,IDO,4,L1) , & |
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13 | & WA1(IDO) ,WA2(IDO) ,WA3(IDO) |
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14 | ! |
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15 | HSQT2=SQRT(2.)/2. |
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16 | M1D = (M-1)*IM1+1 |
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17 | M2S = 1-IM2 |
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18 | DO 101 K=1,L1 |
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19 | M2 = M2S |
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20 | DO 1001 M1=1,M1D,IM1 |
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21 | M2 = M2+IM2 |
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22 | CH(M2,1,1,K) = (CC(M1,1,K,2)+CC(M1,1,K,4)) & |
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23 | & +(CC(M1,1,K,1)+CC(M1,1,K,3)) |
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24 | CH(M2,IDO,4,K) = (CC(M1,1,K,1)+CC(M1,1,K,3)) & |
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25 | & -(CC(M1,1,K,2)+CC(M1,1,K,4)) |
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26 | CH(M2,IDO,2,K) = CC(M1,1,K,1)-CC(M1,1,K,3) |
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27 | CH(M2,1,3,K) = CC(M1,1,K,4)-CC(M1,1,K,2) |
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28 | 1001 CONTINUE |
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29 | 101 END DO |
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30 | IF (IDO-2) 107,105,102 |
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31 | 102 IDP2 = IDO+2 |
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32 | DO 104 K=1,L1 |
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33 | DO 103 I=3,IDO,2 |
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34 | IC = IDP2-I |
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35 | M2 = M2S |
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36 | DO 1003 M1=1,M1D,IM1 |
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37 | M2 = M2+IM2 |
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38 | CH(M2,I-1,1,K) = ((WA1(I-2)*CC(M1,I-1,K,2)+WA1(I-1)* & |
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39 | & CC(M1,I,K,2))+(WA3(I-2)*CC(M1,I-1,K,4)+WA3(I-1)* & |
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40 | & CC(M1,I,K,4)))+(CC(M1,I-1,K,1)+(WA2(I-2)*CC(M1,I-1,K,3)+ & |
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41 | & WA2(I-1)*CC(M1,I,K,3))) |
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42 | CH(M2,IC-1,4,K) = (CC(M1,I-1,K,1)+(WA2(I-2)*CC(M1,I-1,K,3)+ & |
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43 | & WA2(I-1)*CC(M1,I,K,3)))-((WA1(I-2)*CC(M1,I-1,K,2)+ & |
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44 | & WA1(I-1)*CC(M1,I,K,2))+(WA3(I-2)*CC(M1,I-1,K,4)+ & |
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45 | & WA3(I-1)*CC(M1,I,K,4))) |
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46 | CH(M2,I,1,K) = ((WA1(I-2)*CC(M1,I,K,2)-WA1(I-1)* & |
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47 | & CC(M1,I-1,K,2))+(WA3(I-2)*CC(M1,I,K,4)-WA3(I-1)* & |
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48 | & CC(M1,I-1,K,4)))+(CC(M1,I,K,1)+(WA2(I-2)*CC(M1,I,K,3)- & |
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49 | & WA2(I-1)*CC(M1,I-1,K,3))) |
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50 | CH(M2,IC,4,K) = ((WA1(I-2)*CC(M1,I,K,2)-WA1(I-1)* & |
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51 | & CC(M1,I-1,K,2))+(WA3(I-2)*CC(M1,I,K,4)-WA3(I-1)* & |
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52 | & CC(M1,I-1,K,4)))-(CC(M1,I,K,1)+(WA2(I-2)*CC(M1,I,K,3)- & |
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53 | & WA2(I-1)*CC(M1,I-1,K,3))) |
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54 | CH(M2,I-1,3,K) = ((WA1(I-2)*CC(M1,I,K,2)-WA1(I-1)* & |
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55 | & CC(M1,I-1,K,2))-(WA3(I-2)*CC(M1,I,K,4)-WA3(I-1)* & |
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56 | & CC(M1,I-1,K,4)))+(CC(M1,I-1,K,1)-(WA2(I-2)*CC(M1,I-1,K,3)+ & |
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57 | & WA2(I-1)*CC(M1,I,K,3))) |
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58 | CH(M2,IC-1,2,K) = (CC(M1,I-1,K,1)-(WA2(I-2)*CC(M1,I-1,K,3)+ & |
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59 | & WA2(I-1)*CC(M1,I,K,3)))-((WA1(I-2)*CC(M1,I,K,2)-WA1(I-1)* & |
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60 | & CC(M1,I-1,K,2))-(WA3(I-2)*CC(M1,I,K,4)-WA3(I-1)* & |
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61 | & CC(M1,I-1,K,4))) |
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62 | CH(M2,I,3,K) = ((WA3(I-2)*CC(M1,I-1,K,4)+WA3(I-1)* & |
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63 | & CC(M1,I,K,4))-(WA1(I-2)*CC(M1,I-1,K,2)+WA1(I-1)* & |
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64 | & CC(M1,I,K,2)))+(CC(M1,I,K,1)-(WA2(I-2)*CC(M1,I,K,3)- & |
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65 | & WA2(I-1)*CC(M1,I-1,K,3))) |
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66 | CH(M2,IC,2,K) = ((WA3(I-2)*CC(M1,I-1,K,4)+WA3(I-1)* & |
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67 | & CC(M1,I,K,4))-(WA1(I-2)*CC(M1,I-1,K,2)+WA1(I-1)* & |
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68 | & CC(M1,I,K,2)))-(CC(M1,I,K,1)-(WA2(I-2)*CC(M1,I,K,3)- & |
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69 | & WA2(I-1)*CC(M1,I-1,K,3))) |
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70 | 1003 CONTINUE |
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71 | 103 CONTINUE |
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72 | 104 END DO |
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73 | IF (MOD(IDO,2) .EQ. 1) RETURN |
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74 | 105 CONTINUE |
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75 | DO 106 K=1,L1 |
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76 | M2 = M2S |
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77 | DO 1006 M1=1,M1D,IM1 |
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78 | M2 = M2+IM2 |
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79 | CH(M2,IDO,1,K) = (HSQT2*(CC(M1,IDO,K,2)-CC(M1,IDO,K,4)))+ & |
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80 | & CC(M1,IDO,K,1) |
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81 | CH(M2,IDO,3,K) = CC(M1,IDO,K,1)-(HSQT2*(CC(M1,IDO,K,2)- & |
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82 | & CC(M1,IDO,K,4))) |
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83 | CH(M2,1,2,K) = (-HSQT2*(CC(M1,IDO,K,2)+CC(M1,IDO,K,4)))- & |
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84 | & CC(M1,IDO,K,3) |
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85 | CH(M2,1,4,K) = (-HSQT2*(CC(M1,IDO,K,2)+CC(M1,IDO,K,4)))+ & |
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86 | & CC(M1,IDO,K,3) |
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87 | 1006 CONTINUE |
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88 | 106 END DO |
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89 | 107 RETURN |
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90 | END |
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