share/fftpack5/fortran/r1f5kf.f

   1 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
   2 C
   3 C   FFTPACK 5.0
   4 C
   5 C   Authors:  Paul N. Swarztrauber and Richard A. Valent
   6 C
   7 C   $Id$
   8 C
   9 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
  10
  11       SUBROUTINE R1F5KF (IDO,L1,CC,IN1,CH,IN2,
  12      1                   WA1,WA2,WA3,WA4)
  13       REAL       CC(IN1,IDO,L1,5)    ,CH(IN2,IDO,5,L1)     ,
  14      1           WA1(IDO)     ,WA2(IDO)     ,WA3(IDO)     ,WA4(IDO)
  15 C
  16       ARG=2.*4.*ATAN(1.0)/5.
  17       TR11=COS(ARG)
  18       TI11=SIN(ARG)
  19       TR12=COS(2.*ARG)
  20       TI12=SIN(2.*ARG)
  21       DO 101 K=1,L1
  22          CH(1,1,1,K) = CC(1,1,K,1)+(CC(1,1,K,5)+CC(1,1,K,2))+
  23      1    (CC(1,1,K,4)+CC(1,1,K,3))
  24          CH(1,IDO,2,K) = CC(1,1,K,1)+TR11*(CC(1,1,K,5)+CC(1,1,K,2))+
  25      1    TR12*(CC(1,1,K,4)+CC(1,1,K,3))
  26          CH(1,1,3,K) = TI11*(CC(1,1,K,5)-CC(1,1,K,2))+TI12*
  27      1    (CC(1,1,K,4)-CC(1,1,K,3))
  28          CH(1,IDO,4,K) = CC(1,1,K,1)+TR12*(CC(1,1,K,5)+CC(1,1,K,2))+
  29      1    TR11*(CC(1,1,K,4)+CC(1,1,K,3))
  30          CH(1,1,5,K) = TI12*(CC(1,1,K,5)-CC(1,1,K,2))-TI11*
  31      1    (CC(1,1,K,4)-CC(1,1,K,3))
  32   101 CONTINUE
  33       IF (IDO .EQ. 1) RETURN
  34       IDP2 = IDO+2
  35       DO 103 K=1,L1
  36          DO 102 I=3,IDO,2
  37             IC = IDP2-I
  38             CH(1,I-1,1,K) = CC(1,I-1,K,1)+((WA1(I-2)*CC(1,I-1,K,2)+
  39      1       WA1(I-1)*CC(1,I,K,2))+(WA4(I-2)*CC(1,I-1,K,5)+WA4(I-1)*
  40      1       CC(1,I,K,5)))+((WA2(I-2)*CC(1,I-1,K,3)+WA2(I-1)*
  41      1       CC(1,I,K,3))+(WA3(I-2)*CC(1,I-1,K,4)+
  42      1       WA3(I-1)*CC(1,I,K,4)))
  43             CH(1,I,1,K) = CC(1,I,K,1)+((WA1(I-2)*CC(1,I,K,2)-
  44      1       WA1(I-1)*CC(1,I-1,K,2))+(WA4(I-2)*CC(1,I,K,5)-WA4(I-1)*
  45      1       CC(1,I-1,K,5)))+((WA2(I-2)*CC(1,I,K,3)-WA2(I-1)*
  46      1       CC(1,I-1,K,3))+(WA3(I-2)*CC(1,I,K,4)-WA3(I-1)*
  47      1       CC(1,I-1,K,4)))
  48             CH(1,I-1,3,K) = CC(1,I-1,K,1)+TR11*
  49      1      ( WA1(I-2)*CC(1,I-1,K,2)+WA1(I-1)*CC(1,I,K,2)
  50      1       +WA4(I-2)*CC(1,I-1,K,5)+WA4(I-1)*CC(1,I,K,5))+TR12*
  51      1      ( WA2(I-2)*CC(1,I-1,K,3)+WA2(I-1)*CC(1,I,K,3)
  52      1       +WA3(I-2)*CC(1,I-1,K,4)+WA3(I-1)*CC(1,I,K,4))+TI11*
  53      1      ( WA1(I-2)*CC(1,I,K,2)-WA1(I-1)*CC(1,I-1,K,2)
  54      1       -(WA4(I-2)*CC(1,I,K,5)-WA4(I-1)*CC(1,I-1,K,5)))+TI12*
  55      1      ( WA2(I-2)*CC(1,I,K,3)-WA2(I-1)*CC(1,I-1,K,3)
  56      1       -(WA3(I-2)*CC(1,I,K,4)-WA3(I-1)*CC(1,I-1,K,4)))
  57             CH(1,IC-1,2,K) = CC(1,I-1,K,1)+TR11*
  58      1      ( WA1(I-2)*CC(1,I-1,K,2)+WA1(I-1)*CC(1,I,K,2)
  59      1       +WA4(I-2)*CC(1,I-1,K,5)+WA4(I-1)*CC(1,I,K,5))+TR12*
  60      1     ( WA2(I-2)*CC(1,I-1,K,3)+WA2(I-1)*CC(1,I,K,3)
  61      1      +WA3(I-2)*CC(1,I-1,K,4)+WA3(I-1)*CC(1,I,K,4))-(TI11*
  62      1      ( WA1(I-2)*CC(1,I,K,2)-WA1(I-1)*CC(1,I-1,K,2)
  63      1       -(WA4(I-2)*CC(1,I,K,5)-WA4(I-1)*CC(1,I-1,K,5)))+TI12*
  64      1      ( WA2(I-2)*CC(1,I,K,3)-WA2(I-1)*CC(1,I-1,K,3)
  65      1       -(WA3(I-2)*CC(1,I,K,4)-WA3(I-1)*CC(1,I-1,K,4))))
  66             CH(1,I,3,K) = (CC(1,I,K,1)+TR11*((WA1(I-2)*CC(1,I,K,2)-
  67      1       WA1(I-1)*CC(1,I-1,K,2))+(WA4(I-2)*CC(1,I,K,5)-WA4(I-1)*
  68      1       CC(1,I-1,K,5)))+TR12*((WA2(I-2)*CC(1,I,K,3)-WA2(I-1)*
  69      1       CC(1,I-1,K,3))+(WA3(I-2)*CC(1,I,K,4)-WA3(I-1)*
  70      1       CC(1,I-1,K,4))))+(TI11*((WA4(I-2)*CC(1,I-1,K,5)+
  71      1       WA4(I-1)*CC(1,I,K,5))-(WA1(I-2)*CC(1,I-1,K,2)+WA1(I-1)*
  72      1       CC(1,I,K,2)))+TI12*((WA3(I-2)*CC(1,I-1,K,4)+WA3(I-1)*
  73      1       CC(1,I,K,4))-(WA2(I-2)*CC(1,I-1,K,3)+WA2(I-1)*
  74      1       CC(1,I,K,3))))
  75             CH(1,IC,2,K) = (TI11*((WA4(I-2)*CC(1,I-1,K,5)+WA4(I-1)*
  76      1       CC(1,I,K,5))-(WA1(I-2)*CC(1,I-1,K,2)+WA1(I-1)*
  77      1       CC(1,I,K,2)))+TI12*((WA3(I-2)*CC(1,I-1,K,4)+WA3(I-1)*
  78      1       CC(1,I,K,4))-(WA2(I-2)*CC(1,I-1,K,3)+WA2(I-1)*
  79      1       CC(1,I,K,3))))-(CC(1,I,K,1)+TR11*((WA1(I-2)*CC(1,I,K,2)-
  80      1       WA1(I-1)*CC(1,I-1,K,2))+(WA4(I-2)*CC(1,I,K,5)-WA4(I-1)*
  81      1       CC(1,I-1,K,5)))+TR12*((WA2(I-2)*CC(1,I,K,3)-WA2(I-1)*
  82      1       CC(1,I-1,K,3))+(WA3(I-2)*CC(1,I,K,4)-WA3(I-1)*
  83      1       CC(1,I-1,K,4))))
  84             CH(1,I-1,5,K) = (CC(1,I-1,K,1)+TR12*((WA1(I-2)*
  85      1       CC(1,I-1,K,2)+WA1(I-1)*CC(1,I,K,2))+(WA4(I-2)*
  86      1       CC(1,I-1,K,5)+WA4(I-1)*CC(1,I,K,5)))+TR11*((WA2(I-2)*
  87      1       CC(1,I-1,K,3)+WA2(I-1)*CC(1,I,K,3))+(WA3(I-2)*
  88      1       CC(1,I-1,K,4)+WA3(I-1)*CC(1,I,K,4))))+(TI12*((WA1(I-2)*
  89      1       CC(1,I,K,2)-WA1(I-1)*CC(1,I-1,K,2))-(WA4(I-2)*
  90      1       CC(1,I,K,5)-WA4(I-1)*CC(1,I-1,K,5)))-TI11*((WA2(I-2)*
  91      1       CC(1,I,K,3)-WA2(I-1)*CC(1,I-1,K,3))-(WA3(I-2)*
  92      1       CC(1,I,K,4)-WA3(I-1)*CC(1,I-1,K,4))))
  93             CH(1,IC-1,4,K) = (CC(1,I-1,K,1)+TR12*((WA1(I-2)*
  94      1       CC(1,I-1,K,2)+WA1(I-1)*CC(1,I,K,2))+(WA4(I-2)*
  95      1       CC(1,I-1,K,5)+WA4(I-1)*CC(1,I,K,5)))+TR11*((WA2(I-2)*
  96      1       CC(1,I-1,K,3)+WA2(I-1)*CC(1,I,K,3))+(WA3(I-2)*
  97      1       CC(1,I-1,K,4)+WA3(I-1)*CC(1,I,K,4))))-(TI12*((WA1(I-2)*
  98      1       CC(1,I,K,2)-WA1(I-1)*CC(1,I-1,K,2))-(WA4(I-2)*
  99      1       CC(1,I,K,5)-WA4(I-1)*CC(1,I-1,K,5)))-TI11*((WA2(I-2)*
 100      1       CC(1,I,K,3)-WA2(I-1)*CC(1,I-1,K,3))-(WA3(I-2)*
 101      1       CC(1,I,K,4)-WA3(I-1)*CC(1,I-1,K,4))))
 102             CH(1,I,5,K) = (CC(1,I,K,1)+TR12*((WA1(I-2)*CC(1,I,K,2)-
 103      1       WA1(I-1)*CC(1,I-1,K,2))+(WA4(I-2)*CC(1,I,K,5)-WA4(I-1)*
 104      1       CC(1,I-1,K,5)))+TR11*((WA2(I-2)*CC(1,I,K,3)-WA2(I-1)*
 105      1       CC(1,I-1,K,3))+(WA3(I-2)*CC(1,I,K,4)-WA3(I-1)*
 106      1       CC(1,I-1,K,4))))+(TI12*((WA4(I-2)*CC(1,I-1,K,5)+
 107      1       WA4(I-1)*CC(1,I,K,5))-(WA1(I-2)*CC(1,I-1,K,2)+WA1(I-1)*
 108      1       CC(1,I,K,2)))-TI11*((WA3(I-2)*CC(1,I-1,K,4)+WA3(I-1)*
 109      1       CC(1,I,K,4))-(WA2(I-2)*CC(1,I-1,K,3)+WA2(I-1)*
 110      1       CC(1,I,K,3))))
 111             CH(1,IC,4,K) = (TI12*((WA4(I-2)*CC(1,I-1,K,5)+WA4(I-1)*
 112      1       CC(1,I,K,5))-(WA1(I-2)*CC(1,I-1,K,2)+WA1(I-1)*
 113      1       CC(1,I,K,2)))-TI11*((WA3(I-2)*CC(1,I-1,K,4)+WA3(I-1)*
 114      1       CC(1,I,K,4))-(WA2(I-2)*CC(1,I-1,K,3)+WA2(I-1)*
 115      1       CC(1,I,K,3))))-(CC(1,I,K,1)+TR12*((WA1(I-2)*CC(1,I,K,2)-
 116      1       WA1(I-1)*CC(1,I-1,K,2))+(WA4(I-2)*CC(1,I,K,5)-WA4(I-1)*
 117      1       CC(1,I-1,K,5)))+TR11*((WA2(I-2)*CC(1,I,K,3)-WA2(I-1)*
 118      1       CC(1,I-1,K,3))+(WA3(I-2)*CC(1,I,K,4)-WA3(I-1)*
 119      1       CC(1,I-1,K,4))))
 120   102    CONTINUE
 121   103 CONTINUE
 122       RETURN
 123       END