| blob | 33743eee3a356473d7f5699272a1ebfb915d656c |
1 !CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
2 !
3 ! FFTPACK 5.0
4 ! Copyright (C) 1995-2004, Scientific Computing Division,
5 ! University Corporation for Atmospheric Research
6 ! Licensed under the GNU General Public License (GPL)
7 !
8 ! Authors: Paul N. Swarztrauber and Richard A. Valent
9 !
10 ! $Id: r1f5kf.f,v 1.2 2004/06/15 21:29:20 rodney Exp $
11 !
12 !CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
14 SUBROUTINE R1F5KF (IDO,L1,CC,IN1,CH,IN2, &
15 & WA1,WA2,WA3,WA4)
16 REAL CC(IN1,IDO,L1,5) ,CH(IN2,IDO,5,L1) , &
17 & WA1(IDO) ,WA2(IDO) ,WA3(IDO) ,WA4(IDO)
18 !
19 ARG=2.*4.*ATAN(1.0)/5.
20 TR11=COS(ARG)
21 TI11=SIN(ARG)
22 TR12=COS(2.*ARG)
23 TI12=SIN(2.*ARG)
24 DO 101 K=1,L1
25 CH(1,1,1,K) = CC(1,1,K,1)+(CC(1,1,K,5)+CC(1,1,K,2))+ &
26 & (CC(1,1,K,4)+CC(1,1,K,3))
27 CH(1,IDO,2,K) = CC(1,1,K,1)+TR11*(CC(1,1,K,5)+CC(1,1,K,2))+ &
28 & TR12*(CC(1,1,K,4)+CC(1,1,K,3))
29 CH(1,1,3,K) = TI11*(CC(1,1,K,5)-CC(1,1,K,2))+TI12* &
30 & (CC(1,1,K,4)-CC(1,1,K,3))
31 CH(1,IDO,4,K) = CC(1,1,K,1)+TR12*(CC(1,1,K,5)+CC(1,1,K,2))+ &
32 & TR11*(CC(1,1,K,4)+CC(1,1,K,3))
33 CH(1,1,5,K) = TI12*(CC(1,1,K,5)-CC(1,1,K,2))-TI11* &
34 & (CC(1,1,K,4)-CC(1,1,K,3))
35 101 END DO
36 IF (IDO .EQ. 1) RETURN
37 IDP2 = IDO+2
38 DO 103 K=1,L1
39 DO 102 I=3,IDO,2
40 IC = IDP2-I
41 CH(1,I-1,1,K) = CC(1,I-1,K,1)+((WA1(I-2)*CC(1,I-1,K,2)+ &
42 & WA1(I-1)*CC(1,I,K,2))+(WA4(I-2)*CC(1,I-1,K,5)+WA4(I-1)* &
43 & CC(1,I,K,5)))+((WA2(I-2)*CC(1,I-1,K,3)+WA2(I-1)* &
44 & CC(1,I,K,3))+(WA3(I-2)*CC(1,I-1,K,4)+ &
45 & WA3(I-1)*CC(1,I,K,4)))
46 CH(1,I,1,K) = CC(1,I,K,1)+((WA1(I-2)*CC(1,I,K,2)- &
47 & WA1(I-1)*CC(1,I-1,K,2))+(WA4(I-2)*CC(1,I,K,5)-WA4(I-1)* &
48 & CC(1,I-1,K,5)))+((WA2(I-2)*CC(1,I,K,3)-WA2(I-1)* &
49 & CC(1,I-1,K,3))+(WA3(I-2)*CC(1,I,K,4)-WA3(I-1)* &
50 & CC(1,I-1,K,4)))
51 CH(1,I-1,3,K) = CC(1,I-1,K,1)+TR11* &
52 & ( WA1(I-2)*CC(1,I-1,K,2)+WA1(I-1)*CC(1,I,K,2) &
53 & +WA4(I-2)*CC(1,I-1,K,5)+WA4(I-1)*CC(1,I,K,5))+TR12* &
54 & ( WA2(I-2)*CC(1,I-1,K,3)+WA2(I-1)*CC(1,I,K,3) &
55 & +WA3(I-2)*CC(1,I-1,K,4)+WA3(I-1)*CC(1,I,K,4))+TI11* &
56 & ( WA1(I-2)*CC(1,I,K,2)-WA1(I-1)*CC(1,I-1,K,2) &
57 & -(WA4(I-2)*CC(1,I,K,5)-WA4(I-1)*CC(1,I-1,K,5)))+TI12* &
58 & ( WA2(I-2)*CC(1,I,K,3)-WA2(I-1)*CC(1,I-1,K,3) &
59 & -(WA3(I-2)*CC(1,I,K,4)-WA3(I-1)*CC(1,I-1,K,4)))
60 CH(1,IC-1,2,K) = CC(1,I-1,K,1)+TR11* &
61 & ( WA1(I-2)*CC(1,I-1,K,2)+WA1(I-1)*CC(1,I,K,2) &
62 & +WA4(I-2)*CC(1,I-1,K,5)+WA4(I-1)*CC(1,I,K,5))+TR12* &
63 & ( WA2(I-2)*CC(1,I-1,K,3)+WA2(I-1)*CC(1,I,K,3) &
64 & +WA3(I-2)*CC(1,I-1,K,4)+WA3(I-1)*CC(1,I,K,4))-(TI11* &
65 & ( WA1(I-2)*CC(1,I,K,2)-WA1(I-1)*CC(1,I-1,K,2) &
66 & -(WA4(I-2)*CC(1,I,K,5)-WA4(I-1)*CC(1,I-1,K,5)))+TI12* &
67 & ( WA2(I-2)*CC(1,I,K,3)-WA2(I-1)*CC(1,I-1,K,3) &
68 & -(WA3(I-2)*CC(1,I,K,4)-WA3(I-1)*CC(1,I-1,K,4))))
69 CH(1,I,3,K) = (CC(1,I,K,1)+TR11*((WA1(I-2)*CC(1,I,K,2)- &
70 & WA1(I-1)*CC(1,I-1,K,2))+(WA4(I-2)*CC(1,I,K,5)-WA4(I-1)* &
71 & CC(1,I-1,K,5)))+TR12*((WA2(I-2)*CC(1,I,K,3)-WA2(I-1)* &
72 & CC(1,I-1,K,3))+(WA3(I-2)*CC(1,I,K,4)-WA3(I-1)* &
73 & CC(1,I-1,K,4))))+(TI11*((WA4(I-2)*CC(1,I-1,K,5)+ &
74 & WA4(I-1)*CC(1,I,K,5))-(WA1(I-2)*CC(1,I-1,K,2)+WA1(I-1)* &
75 & CC(1,I,K,2)))+TI12*((WA3(I-2)*CC(1,I-1,K,4)+WA3(I-1)* &
76 & CC(1,I,K,4))-(WA2(I-2)*CC(1,I-1,K,3)+WA2(I-1)* &
77 & CC(1,I,K,3))))
78 CH(1,IC,2,K) = (TI11*((WA4(I-2)*CC(1,I-1,K,5)+WA4(I-1)* &
79 & CC(1,I,K,5))-(WA1(I-2)*CC(1,I-1,K,2)+WA1(I-1)* &
80 & CC(1,I,K,2)))+TI12*((WA3(I-2)*CC(1,I-1,K,4)+WA3(I-1)* &
81 & CC(1,I,K,4))-(WA2(I-2)*CC(1,I-1,K,3)+WA2(I-1)* &
82 & CC(1,I,K,3))))-(CC(1,I,K,1)+TR11*((WA1(I-2)*CC(1,I,K,2)- &
83 & WA1(I-1)*CC(1,I-1,K,2))+(WA4(I-2)*CC(1,I,K,5)-WA4(I-1)* &
84 & CC(1,I-1,K,5)))+TR12*((WA2(I-2)*CC(1,I,K,3)-WA2(I-1)* &
85 & CC(1,I-1,K,3))+(WA3(I-2)*CC(1,I,K,4)-WA3(I-1)* &
86 & CC(1,I-1,K,4))))
87 CH(1,I-1,5,K) = (CC(1,I-1,K,1)+TR12*((WA1(I-2)* &
88 & CC(1,I-1,K,2)+WA1(I-1)*CC(1,I,K,2))+(WA4(I-2)* &
89 & CC(1,I-1,K,5)+WA4(I-1)*CC(1,I,K,5)))+TR11*((WA2(I-2)* &
90 & CC(1,I-1,K,3)+WA2(I-1)*CC(1,I,K,3))+(WA3(I-2)* &
91 & CC(1,I-1,K,4)+WA3(I-1)*CC(1,I,K,4))))+(TI12*((WA1(I-2)* &
92 & CC(1,I,K,2)-WA1(I-1)*CC(1,I-1,K,2))-(WA4(I-2)* &
93 & CC(1,I,K,5)-WA4(I-1)*CC(1,I-1,K,5)))-TI11*((WA2(I-2)* &
94 & CC(1,I,K,3)-WA2(I-1)*CC(1,I-1,K,3))-(WA3(I-2)* &
95 & CC(1,I,K,4)-WA3(I-1)*CC(1,I-1,K,4))))
96 CH(1,IC-1,4,K) = (CC(1,I-1,K,1)+TR12*((WA1(I-2)* &
97 & CC(1,I-1,K,2)+WA1(I-1)*CC(1,I,K,2))+(WA4(I-2)* &
98 & CC(1,I-1,K,5)+WA4(I-1)*CC(1,I,K,5)))+TR11*((WA2(I-2)* &
99 & CC(1,I-1,K,3)+WA2(I-1)*CC(1,I,K,3))+(WA3(I-2)* &
100 & CC(1,I-1,K,4)+WA3(I-1)*CC(1,I,K,4))))-(TI12*((WA1(I-2)* &
101 & CC(1,I,K,2)-WA1(I-1)*CC(1,I-1,K,2))-(WA4(I-2)* &
102 & CC(1,I,K,5)-WA4(I-1)*CC(1,I-1,K,5)))-TI11*((WA2(I-2)* &
103 & CC(1,I,K,3)-WA2(I-1)*CC(1,I-1,K,3))-(WA3(I-2)* &
104 & CC(1,I,K,4)-WA3(I-1)*CC(1,I-1,K,4))))
105 CH(1,I,5,K) = (CC(1,I,K,1)+TR12*((WA1(I-2)*CC(1,I,K,2)- &
106 & WA1(I-1)*CC(1,I-1,K,2))+(WA4(I-2)*CC(1,I,K,5)-WA4(I-1)* &
107 & CC(1,I-1,K,5)))+TR11*((WA2(I-2)*CC(1,I,K,3)-WA2(I-1)* &
108 & CC(1,I-1,K,3))+(WA3(I-2)*CC(1,I,K,4)-WA3(I-1)* &
109 & CC(1,I-1,K,4))))+(TI12*((WA4(I-2)*CC(1,I-1,K,5)+ &
110 & WA4(I-1)*CC(1,I,K,5))-(WA1(I-2)*CC(1,I-1,K,2)+WA1(I-1)* &
111 & CC(1,I,K,2)))-TI11*((WA3(I-2)*CC(1,I-1,K,4)+WA3(I-1)* &
112 & CC(1,I,K,4))-(WA2(I-2)*CC(1,I-1,K,3)+WA2(I-1)* &
113 & CC(1,I,K,3))))
114 CH(1,IC,4,K) = (TI12*((WA4(I-2)*CC(1,I-1,K,5)+WA4(I-1)* &
115 & CC(1,I,K,5))-(WA1(I-2)*CC(1,I-1,K,2)+WA1(I-1)* &
116 & CC(1,I,K,2)))-TI11*((WA3(I-2)*CC(1,I-1,K,4)+WA3(I-1)* &
117 & CC(1,I,K,4))-(WA2(I-2)*CC(1,I-1,K,3)+WA2(I-1)* &
118 & CC(1,I,K,3))))-(CC(1,I,K,1)+TR12*((WA1(I-2)*CC(1,I,K,2)- &
119 & WA1(I-1)*CC(1,I-1,K,2))+(WA4(I-2)*CC(1,I,K,5)-WA4(I-1)* &
120 & CC(1,I-1,K,5)))+TR11*((WA2(I-2)*CC(1,I,K,3)-WA2(I-1)* &
121 & CC(1,I-1,K,3))+(WA3(I-2)*CC(1,I,K,4)-WA3(I-1)* &
122 & CC(1,I-1,K,4))))
123 102 CONTINUE
124 103 END DO
125 RETURN
126 END