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|
subroutine cffti (n,wsave)
implicit double precision (a-h,o-z)
dimension wsave(1)
if (n .eq. 1) return
iw1 = n+n+1
iw2 = iw1+n+n
call cffti1 (n,wsave(iw1),wsave(iw2))
return
end
subroutine cffti1 (n,wa,wifac)
implicit double precision (a-h,o-z)
dimension wa(*) ,wifac(*) ,ntryh(4)
data ntryh(1),ntryh(2),ntryh(3),ntryh(4)/3,4,2,5/
nl = n
nf = 0
j = 0
101 j = j+1
if (j-4) 102,102,103
102 ntry = ntryh(j)
go to 104
103 ntry = ntry+2
104 nq = nl/ntry
nr = nl-ntry*nq
if (nr) 101,105,101
105 nf = nf+1
wifac(nf+2) = ntry
nl = nq
if (ntry .ne. 2) go to 107
if (nf .eq. 1) go to 107
do 106 i=2,nf
ib = nf-i+2
wifac(ib+2) = wifac(ib+1)
106 continue
wifac(3) = 2
107 if (nl .ne. 1) go to 104
wifac(1) = n
wifac(2) = nf
tpi = 6.28318530717958647692d0
argh = tpi/float(n)
i = 2
l1 = 1
do 110 k1=1,nf
ip = wifac(k1+2)
ld = 0
l2 = l1*ip
ido = n/l2
idot = ido+ido+2
ipm = ip-1
do 109 j=1,ipm
i1 = i
wa(i-1) = 1.0d0
wa(i) = 0.0d0
ld = ld+l1
fi = 0.0d0
argld = float(ld)*argh
do 108 ii=4,idot,2
i = i+2
fi = fi+1.d0
arg = fi*argld
wa(i-1) = cos(arg)
wa(i) = sin(arg)
108 continue
if (ip .le. 5) go to 109
wa(i1-1) = wa(i-1)
wa(i1) = wa(i)
109 continue
l1 = l2
110 continue
return
end
subroutine cfftf (n,c,wsave)
implicit double precision (a-h,o-z)
dimension c(1) ,wsave(1)
if (n .eq. 1) return
iw1 = n+n+1
iw2 = iw1+n+n
call cfftf1 (n,c,wsave,wsave(iw1),wsave(iw2))
return
end
subroutine cfftf1 (n,c,ch,wa,wifac)
implicit double precision (a-h,o-z)
dimension ch(*) ,c(*) ,wa(*) ,wifac(*)
nf = wifac(2)
na = 0
l1 = 1
iw = 1
do 116 k1=1,nf
ip = wifac(k1+2)
l2 = ip*l1
ido = n/l2
idot = ido+ido
idl1 = idot*l1
if (ip .ne. 4) go to 103
ix2 = iw+idot
ix3 = ix2+idot
if (na .ne. 0) go to 101
call passf4 (idot,l1,c,ch,wa(iw),wa(ix2),wa(ix3))
go to 102
101 call passf4 (idot,l1,ch,c,wa(iw),wa(ix2),wa(ix3))
102 na = 1-na
go to 115
103 if (ip .ne. 2) go to 106
if (na .ne. 0) go to 104
call passf2 (idot,l1,c,ch,wa(iw))
go to 105
104 call passf2 (idot,l1,ch,c,wa(iw))
105 na = 1-na
go to 115
106 if (ip .ne. 3) go to 109
ix2 = iw+idot
if (na .ne. 0) go to 107
call passf3 (idot,l1,c,ch,wa(iw),wa(ix2))
go to 108
107 call passf3 (idot,l1,ch,c,wa(iw),wa(ix2))
108 na = 1-na
go to 115
109 if (ip .ne. 5) go to 112
ix2 = iw+idot
ix3 = ix2+idot
ix4 = ix3+idot
if (na .ne. 0) go to 110
call passf5 (idot,l1,c,ch,wa(iw),wa(ix2),wa(ix3),wa(ix4))
go to 111
110 call passf5 (idot,l1,ch,c,wa(iw),wa(ix2),wa(ix3),wa(ix4))
111 na = 1-na
go to 115
112 if (na .ne. 0) go to 113
call passf (nac,idot,ip,l1,idl1,c,c,c,ch,ch,wa(iw))
go to 114
113 call passf (nac,idot,ip,l1,idl1,ch,ch,ch,c,c,wa(iw))
114 if (nac .ne. 0) na = 1-na
115 l1 = l2
iw = iw+(ip-1)*idot
116 continue
if (na .eq. 0) return
n2 = n+n
do 117 i=1,n2
c(i) = ch(i)
117 continue
return
end
subroutine passf2 (ido,l1,cc,ch,wa1)
implicit double precision (a-h,o-z)
dimension cc(ido,2,l1) ,ch(ido,l1,2) ,
1 wa1(1)
if (ido .gt. 2) go to 102
do 101 k=1,l1
ch(1,k,1) = cc(1,1,k)+cc(1,2,k)
ch(1,k,2) = cc(1,1,k)-cc(1,2,k)
ch(2,k,1) = cc(2,1,k)+cc(2,2,k)
ch(2,k,2) = cc(2,1,k)-cc(2,2,k)
101 continue
return
102 do 104 k=1,l1
do 103 i=2,ido,2
ch(i-1,k,1) = cc(i-1,1,k)+cc(i-1,2,k)
tr2 = cc(i-1,1,k)-cc(i-1,2,k)
ch(i,k,1) = cc(i,1,k)+cc(i,2,k)
ti2 = cc(i,1,k)-cc(i,2,k)
ch(i,k,2) = wa1(i-1)*ti2-wa1(i)*tr2
ch(i-1,k,2) = wa1(i-1)*tr2+wa1(i)*ti2
103 continue
104 continue
return
end
subroutine passf3 (ido,l1,cc,ch,wa1,wa2)
implicit double precision (a-h,o-z)
dimension cc(ido,3,l1) ,ch(ido,l1,3) ,
1 wa1(1) ,wa2(1)
c *** taui is -sqrt(3)/2 ***
data taur,taui /-0.5d0,-0.86602540378443864676d0/
if (ido .ne. 2) go to 102
do 101 k=1,l1
tr2 = cc(1,2,k)+cc(1,3,k)
cr2 = cc(1,1,k)+taur*tr2
ch(1,k,1) = cc(1,1,k)+tr2
ti2 = cc(2,2,k)+cc(2,3,k)
ci2 = cc(2,1,k)+taur*ti2
ch(2,k,1) = cc(2,1,k)+ti2
cr3 = taui*(cc(1,2,k)-cc(1,3,k))
ci3 = taui*(cc(2,2,k)-cc(2,3,k))
ch(1,k,2) = cr2-ci3
ch(1,k,3) = cr2+ci3
ch(2,k,2) = ci2+cr3
ch(2,k,3) = ci2-cr3
101 continue
return
102 do 104 k=1,l1
do 103 i=2,ido,2
tr2 = cc(i-1,2,k)+cc(i-1,3,k)
cr2 = cc(i-1,1,k)+taur*tr2
ch(i-1,k,1) = cc(i-1,1,k)+tr2
ti2 = cc(i,2,k)+cc(i,3,k)
ci2 = cc(i,1,k)+taur*ti2
ch(i,k,1) = cc(i,1,k)+ti2
cr3 = taui*(cc(i-1,2,k)-cc(i-1,3,k))
ci3 = taui*(cc(i,2,k)-cc(i,3,k))
dr2 = cr2-ci3
dr3 = cr2+ci3
di2 = ci2+cr3
di3 = ci2-cr3
ch(i,k,2) = wa1(i-1)*di2-wa1(i)*dr2
ch(i-1,k,2) = wa1(i-1)*dr2+wa1(i)*di2
ch(i,k,3) = wa2(i-1)*di3-wa2(i)*dr3
ch(i-1,k,3) = wa2(i-1)*dr3+wa2(i)*di3
103 continue
104 continue
return
end
subroutine passf4 (ido,l1,cc,ch,wa1,wa2,wa3)
implicit double precision (a-h,o-z)
dimension cc(ido,4,l1) ,ch(ido,l1,4) ,
1 wa1(1) ,wa2(1) ,wa3(1)
if (ido .ne. 2) go to 102
do 101 k=1,l1
ti1 = cc(2,1,k)-cc(2,3,k)
ti2 = cc(2,1,k)+cc(2,3,k)
tr4 = cc(2,2,k)-cc(2,4,k)
ti3 = cc(2,2,k)+cc(2,4,k)
tr1 = cc(1,1,k)-cc(1,3,k)
tr2 = cc(1,1,k)+cc(1,3,k)
ti4 = cc(1,4,k)-cc(1,2,k)
tr3 = cc(1,2,k)+cc(1,4,k)
ch(1,k,1) = tr2+tr3
ch(1,k,3) = tr2-tr3
ch(2,k,1) = ti2+ti3
ch(2,k,3) = ti2-ti3
ch(1,k,2) = tr1+tr4
ch(1,k,4) = tr1-tr4
ch(2,k,2) = ti1+ti4
ch(2,k,4) = ti1-ti4
101 continue
return
102 do 104 k=1,l1
do 103 i=2,ido,2
ti1 = cc(i,1,k)-cc(i,3,k)
ti2 = cc(i,1,k)+cc(i,3,k)
ti3 = cc(i,2,k)+cc(i,4,k)
tr4 = cc(i,2,k)-cc(i,4,k)
tr1 = cc(i-1,1,k)-cc(i-1,3,k)
tr2 = cc(i-1,1,k)+cc(i-1,3,k)
ti4 = cc(i-1,4,k)-cc(i-1,2,k)
tr3 = cc(i-1,2,k)+cc(i-1,4,k)
ch(i-1,k,1) = tr2+tr3
cr3 = tr2-tr3
ch(i,k,1) = ti2+ti3
ci3 = ti2-ti3
cr2 = tr1+tr4
cr4 = tr1-tr4
ci2 = ti1+ti4
ci4 = ti1-ti4
ch(i-1,k,2) = wa1(i-1)*cr2+wa1(i)*ci2
ch(i,k,2) = wa1(i-1)*ci2-wa1(i)*cr2
ch(i-1,k,3) = wa2(i-1)*cr3+wa2(i)*ci3
ch(i,k,3) = wa2(i-1)*ci3-wa2(i)*cr3
ch(i-1,k,4) = wa3(i-1)*cr4+wa3(i)*ci4
ch(i,k,4) = wa3(i-1)*ci4-wa3(i)*cr4
103 continue
104 continue
return
end
subroutine passf5 (ido,l1,cc,ch,wa1,wa2,wa3,wa4)
implicit double precision (a-h,o-z)
dimension cc(ido,5,l1) ,ch(ido,l1,5) ,
1 wa1(1) ,wa2(1) ,wa3(1) ,wa4(1)
c *** tr11=cos(2*pi/5), ti11=-sin(2*pi/5)
c *** tr12=-cos(4*pi/5), ti12=-sin(4*pi/5)
data tr11,ti11,tr12,ti12 /0.3090169943749474241d0,
+ -0.95105651629515357212d0,
1 -0.8090169943749474241d0, -0.58778525229247312917d0/
if (ido .ne. 2) go to 102
do 101 k=1,l1
ti5 = cc(2,2,k)-cc(2,5,k)
ti2 = cc(2,2,k)+cc(2,5,k)
ti4 = cc(2,3,k)-cc(2,4,k)
ti3 = cc(2,3,k)+cc(2,4,k)
tr5 = cc(1,2,k)-cc(1,5,k)
tr2 = cc(1,2,k)+cc(1,5,k)
tr4 = cc(1,3,k)-cc(1,4,k)
tr3 = cc(1,3,k)+cc(1,4,k)
ch(1,k,1) = cc(1,1,k)+tr2+tr3
ch(2,k,1) = cc(2,1,k)+ti2+ti3
cr2 = cc(1,1,k)+tr11*tr2+tr12*tr3
ci2 = cc(2,1,k)+tr11*ti2+tr12*ti3
cr3 = cc(1,1,k)+tr12*tr2+tr11*tr3
ci3 = cc(2,1,k)+tr12*ti2+tr11*ti3
cr5 = ti11*tr5+ti12*tr4
ci5 = ti11*ti5+ti12*ti4
cr4 = ti12*tr5-ti11*tr4
ci4 = ti12*ti5-ti11*ti4
ch(1,k,2) = cr2-ci5
ch(1,k,5) = cr2+ci5
ch(2,k,2) = ci2+cr5
ch(2,k,3) = ci3+cr4
ch(1,k,3) = cr3-ci4
ch(1,k,4) = cr3+ci4
ch(2,k,4) = ci3-cr4
ch(2,k,5) = ci2-cr5
101 continue
return
102 do 104 k=1,l1
do 103 i=2,ido,2
ti5 = cc(i,2,k)-cc(i,5,k)
ti2 = cc(i,2,k)+cc(i,5,k)
ti4 = cc(i,3,k)-cc(i,4,k)
ti3 = cc(i,3,k)+cc(i,4,k)
tr5 = cc(i-1,2,k)-cc(i-1,5,k)
tr2 = cc(i-1,2,k)+cc(i-1,5,k)
tr4 = cc(i-1,3,k)-cc(i-1,4,k)
tr3 = cc(i-1,3,k)+cc(i-1,4,k)
ch(i-1,k,1) = cc(i-1,1,k)+tr2+tr3
ch(i,k,1) = cc(i,1,k)+ti2+ti3
cr2 = cc(i-1,1,k)+tr11*tr2+tr12*tr3
ci2 = cc(i,1,k)+tr11*ti2+tr12*ti3
cr3 = cc(i-1,1,k)+tr12*tr2+tr11*tr3
ci3 = cc(i,1,k)+tr12*ti2+tr11*ti3
cr5 = ti11*tr5+ti12*tr4
ci5 = ti11*ti5+ti12*ti4
cr4 = ti12*tr5-ti11*tr4
ci4 = ti12*ti5-ti11*ti4
dr3 = cr3-ci4
dr4 = cr3+ci4
di3 = ci3+cr4
di4 = ci3-cr4
dr5 = cr2+ci5
dr2 = cr2-ci5
di5 = ci2-cr5
di2 = ci2+cr5
ch(i-1,k,2) = wa1(i-1)*dr2+wa1(i)*di2
ch(i,k,2) = wa1(i-1)*di2-wa1(i)*dr2
ch(i-1,k,3) = wa2(i-1)*dr3+wa2(i)*di3
ch(i,k,3) = wa2(i-1)*di3-wa2(i)*dr3
ch(i-1,k,4) = wa3(i-1)*dr4+wa3(i)*di4
ch(i,k,4) = wa3(i-1)*di4-wa3(i)*dr4
ch(i-1,k,5) = wa4(i-1)*dr5+wa4(i)*di5
ch(i,k,5) = wa4(i-1)*di5-wa4(i)*dr5
103 continue
104 continue
return
end
subroutine passf (nac,ido,ip,l1,idl1,cc,c1,c2,ch,ch2,wa)
implicit double precision (a-h,o-z)
dimension ch(ido,l1,ip) ,cc(ido,ip,l1) ,
1 c1(ido,l1,ip) ,wa(1) ,c2(idl1,ip),
2 ch2(idl1,ip)
idot = ido/2
nt = ip*idl1
ipp2 = ip+2
ipph = (ip+1)/2
idp = ip*ido
c
if (ido .lt. l1) go to 106
do 103 j=2,ipph
jc = ipp2-j
do 102 k=1,l1
do 101 i=1,ido
ch(i,k,j) = cc(i,j,k)+cc(i,jc,k)
ch(i,k,jc) = cc(i,j,k)-cc(i,jc,k)
101 continue
102 continue
103 continue
do 105 k=1,l1
do 104 i=1,ido
ch(i,k,1) = cc(i,1,k)
104 continue
105 continue
go to 112
106 do 109 j=2,ipph
jc = ipp2-j
do 108 i=1,ido
do 107 k=1,l1
ch(i,k,j) = cc(i,j,k)+cc(i,jc,k)
ch(i,k,jc) = cc(i,j,k)-cc(i,jc,k)
107 continue
108 continue
109 continue
do 111 i=1,ido
do 110 k=1,l1
ch(i,k,1) = cc(i,1,k)
110 continue
111 continue
112 idl = 2-ido
inc = 0
do 116 l=2,ipph
lc = ipp2-l
idl = idl+ido
do 113 ik=1,idl1
c2(ik,l) = ch2(ik,1)+wa(idl-1)*ch2(ik,2)
c2(ik,lc) = -wa(idl)*ch2(ik,ip)
113 continue
idlj = idl
inc = inc+ido
do 115 j=3,ipph
jc = ipp2-j
idlj = idlj+inc
if (idlj .gt. idp) idlj = idlj-idp
war = wa(idlj-1)
wai = wa(idlj)
do 114 ik=1,idl1
c2(ik,l) = c2(ik,l)+war*ch2(ik,j)
c2(ik,lc) = c2(ik,lc)-wai*ch2(ik,jc)
114 continue
115 continue
116 continue
do 118 j=2,ipph
do 117 ik=1,idl1
ch2(ik,1) = ch2(ik,1)+ch2(ik,j)
117 continue
118 continue
do 120 j=2,ipph
jc = ipp2-j
do 119 ik=2,idl1,2
ch2(ik-1,j) = c2(ik-1,j)-c2(ik,jc)
ch2(ik-1,jc) = c2(ik-1,j)+c2(ik,jc)
ch2(ik,j) = c2(ik,j)+c2(ik-1,jc)
ch2(ik,jc) = c2(ik,j)-c2(ik-1,jc)
119 continue
120 continue
nac = 1
if (ido .eq. 2) return
nac = 0
do 121 ik=1,idl1
c2(ik,1) = ch2(ik,1)
121 continue
do 123 j=2,ip
do 122 k=1,l1
c1(1,k,j) = ch(1,k,j)
c1(2,k,j) = ch(2,k,j)
122 continue
123 continue
if (idot .gt. l1) go to 127
idij = 0
do 126 j=2,ip
idij = idij+2
do 125 i=4,ido,2
idij = idij+2
do 124 k=1,l1
c1(i-1,k,j) = wa(idij-1)*ch(i-1,k,j)+wa(idij)*ch(i,k,j)
c1(i,k,j) = wa(idij-1)*ch(i,k,j)-wa(idij)*ch(i-1,k,j)
124 continue
125 continue
126 continue
return
127 idj = 2-ido
do 130 j=2,ip
idj = idj+ido
do 129 k=1,l1
idij = idj
do 128 i=4,ido,2
idij = idij+2
c1(i-1,k,j) = wa(idij-1)*ch(i-1,k,j)+wa(idij)*ch(i,k,j)
c1(i,k,j) = wa(idij-1)*ch(i,k,j)-wa(idij)*ch(i-1,k,j)
128 continue
129 continue
130 continue
return
end
subroutine cfftb (n,c,wsave)
implicit double precision (a-h,o-z)
dimension c(1) ,wsave(1)
if (n .eq. 1) return
iw1 = n+n+1
iw2 = iw1+n+n
call cfftb1 (n,c,wsave,wsave(iw1),wsave(iw2))
return
end
subroutine cfftb1 (n,c,ch,wa,wifac)
implicit double precision (a-h,o-z)
dimension ch(*) ,c(*) ,wa(*) ,wifac(*)
nf = wifac(2)
na = 0
l1 = 1
iw = 1
do 116 k1=1,nf
ip = wifac(k1+2)
l2 = ip*l1
ido = n/l2
idot = ido+ido
idl1 = idot*l1
if (ip .ne. 4) go to 103
ix2 = iw+idot
ix3 = ix2+idot
if (na .ne. 0) go to 101
call passb4 (idot,l1,c,ch,wa(iw),wa(ix2),wa(ix3))
go to 102
101 call passb4 (idot,l1,ch,c,wa(iw),wa(ix2),wa(ix3))
102 na = 1-na
go to 115
103 if (ip .ne. 2) go to 106
if (na .ne. 0) go to 104
call passb2 (idot,l1,c,ch,wa(iw))
go to 105
104 call passb2 (idot,l1,ch,c,wa(iw))
105 na = 1-na
go to 115
106 if (ip .ne. 3) go to 109
ix2 = iw+idot
if (na .ne. 0) go to 107
call passb3 (idot,l1,c,ch,wa(iw),wa(ix2))
go to 108
107 call passb3 (idot,l1,ch,c,wa(iw),wa(ix2))
108 na = 1-na
go to 115
109 if (ip .ne. 5) go to 112
ix2 = iw+idot
ix3 = ix2+idot
ix4 = ix3+idot
if (na .ne. 0) go to 110
call passb5 (idot,l1,c,ch,wa(iw),wa(ix2),wa(ix3),wa(ix4))
go to 111
110 call passb5 (idot,l1,ch,c,wa(iw),wa(ix2),wa(ix3),wa(ix4))
111 na = 1-na
go to 115
112 if (na .ne. 0) go to 113
call passb (nac,idot,ip,l1,idl1,c,c,c,ch,ch,wa(iw))
go to 114
113 call passb (nac,idot,ip,l1,idl1,ch,ch,ch,c,c,wa(iw))
114 if (nac .ne. 0) na = 1-na
115 l1 = l2
iw = iw+(ip-1)*idot
116 continue
if (na .eq. 0) return
n2 = n+n
do 117 i=1,n2
c(i) = ch(i)
117 continue
return
end
subroutine passb2 (ido,l1,cc,ch,wa1)
implicit double precision (a-h,o-z)
dimension cc(ido,2,l1) ,ch(ido,l1,2) ,
1 wa1(1)
if (ido .gt. 2) go to 102
do 101 k=1,l1
ch(1,k,1) = cc(1,1,k)+cc(1,2,k)
ch(1,k,2) = cc(1,1,k)-cc(1,2,k)
ch(2,k,1) = cc(2,1,k)+cc(2,2,k)
ch(2,k,2) = cc(2,1,k)-cc(2,2,k)
101 continue
return
102 do 104 k=1,l1
do 103 i=2,ido,2
ch(i-1,k,1) = cc(i-1,1,k)+cc(i-1,2,k)
tr2 = cc(i-1,1,k)-cc(i-1,2,k)
ch(i,k,1) = cc(i,1,k)+cc(i,2,k)
ti2 = cc(i,1,k)-cc(i,2,k)
ch(i,k,2) = wa1(i-1)*ti2+wa1(i)*tr2
ch(i-1,k,2) = wa1(i-1)*tr2-wa1(i)*ti2
103 continue
104 continue
return
end
subroutine passb3 (ido,l1,cc,ch,wa1,wa2)
implicit double precision (a-h,o-z)
dimension cc(ido,3,l1) ,ch(ido,l1,3) ,
1 wa1(1) ,wa2(1)
c *** taui is sqrt(3)/2 ***
data taur,taui /-0.5d0,0.86602540378443864676d0/
if (ido .ne. 2) go to 102
do 101 k=1,l1
tr2 = cc(1,2,k)+cc(1,3,k)
cr2 = cc(1,1,k)+taur*tr2
ch(1,k,1) = cc(1,1,k)+tr2
ti2 = cc(2,2,k)+cc(2,3,k)
ci2 = cc(2,1,k)+taur*ti2
ch(2,k,1) = cc(2,1,k)+ti2
cr3 = taui*(cc(1,2,k)-cc(1,3,k))
ci3 = taui*(cc(2,2,k)-cc(2,3,k))
ch(1,k,2) = cr2-ci3
ch(1,k,3) = cr2+ci3
ch(2,k,2) = ci2+cr3
ch(2,k,3) = ci2-cr3
101 continue
return
102 do 104 k=1,l1
do 103 i=2,ido,2
tr2 = cc(i-1,2,k)+cc(i-1,3,k)
cr2 = cc(i-1,1,k)+taur*tr2
ch(i-1,k,1) = cc(i-1,1,k)+tr2
ti2 = cc(i,2,k)+cc(i,3,k)
ci2 = cc(i,1,k)+taur*ti2
ch(i,k,1) = cc(i,1,k)+ti2
cr3 = taui*(cc(i-1,2,k)-cc(i-1,3,k))
ci3 = taui*(cc(i,2,k)-cc(i,3,k))
dr2 = cr2-ci3
dr3 = cr2+ci3
di2 = ci2+cr3
di3 = ci2-cr3
ch(i,k,2) = wa1(i-1)*di2+wa1(i)*dr2
ch(i-1,k,2) = wa1(i-1)*dr2-wa1(i)*di2
ch(i,k,3) = wa2(i-1)*di3+wa2(i)*dr3
ch(i-1,k,3) = wa2(i-1)*dr3-wa2(i)*di3
103 continue
104 continue
return
end
subroutine passb4 (ido,l1,cc,ch,wa1,wa2,wa3)
implicit double precision (a-h,o-z)
dimension cc(ido,4,l1) ,ch(ido,l1,4) ,
1 wa1(1) ,wa2(1) ,wa3(1)
if (ido .ne. 2) go to 102
do 101 k=1,l1
ti1 = cc(2,1,k)-cc(2,3,k)
ti2 = cc(2,1,k)+cc(2,3,k)
tr4 = cc(2,4,k)-cc(2,2,k)
ti3 = cc(2,2,k)+cc(2,4,k)
tr1 = cc(1,1,k)-cc(1,3,k)
tr2 = cc(1,1,k)+cc(1,3,k)
ti4 = cc(1,2,k)-cc(1,4,k)
tr3 = cc(1,2,k)+cc(1,4,k)
ch(1,k,1) = tr2+tr3
ch(1,k,3) = tr2-tr3
ch(2,k,1) = ti2+ti3
ch(2,k,3) = ti2-ti3
ch(1,k,2) = tr1+tr4
ch(1,k,4) = tr1-tr4
ch(2,k,2) = ti1+ti4
ch(2,k,4) = ti1-ti4
101 continue
return
102 do 104 k=1,l1
do 103 i=2,ido,2
ti1 = cc(i,1,k)-cc(i,3,k)
ti2 = cc(i,1,k)+cc(i,3,k)
ti3 = cc(i,2,k)+cc(i,4,k)
tr4 = cc(i,4,k)-cc(i,2,k)
tr1 = cc(i-1,1,k)-cc(i-1,3,k)
tr2 = cc(i-1,1,k)+cc(i-1,3,k)
ti4 = cc(i-1,2,k)-cc(i-1,4,k)
tr3 = cc(i-1,2,k)+cc(i-1,4,k)
ch(i-1,k,1) = tr2+tr3
cr3 = tr2-tr3
ch(i,k,1) = ti2+ti3
ci3 = ti2-ti3
cr2 = tr1+tr4
cr4 = tr1-tr4
ci2 = ti1+ti4
ci4 = ti1-ti4
ch(i-1,k,2) = wa1(i-1)*cr2-wa1(i)*ci2
ch(i,k,2) = wa1(i-1)*ci2+wa1(i)*cr2
ch(i-1,k,3) = wa2(i-1)*cr3-wa2(i)*ci3
ch(i,k,3) = wa2(i-1)*ci3+wa2(i)*cr3
ch(i-1,k,4) = wa3(i-1)*cr4-wa3(i)*ci4
ch(i,k,4) = wa3(i-1)*ci4+wa3(i)*cr4
103 continue
104 continue
return
end
subroutine passb5 (ido,l1,cc,ch,wa1,wa2,wa3,wa4)
implicit double precision (a-h,o-z)
dimension cc(ido,5,l1) ,ch(ido,l1,5) ,
1 wa1(1) ,wa2(1) ,wa3(1) ,wa4(1)
c *** tr11=cos(2*pi/5), ti11=sin(2*pi/5)
c *** tr12=cos(4*pi/5), ti12=sin(4*pi/5)
data tr11,ti11,tr12,ti12 /0.3090169943749474241d0,
+ 0.95105651629515357212d0,
+ -0.8090169943749474241d0,0.58778525229247312917d0/
if (ido .ne. 2) go to 102
do 101 k=1,l1
ti5 = cc(2,2,k)-cc(2,5,k)
ti2 = cc(2,2,k)+cc(2,5,k)
ti4 = cc(2,3,k)-cc(2,4,k)
ti3 = cc(2,3,k)+cc(2,4,k)
tr5 = cc(1,2,k)-cc(1,5,k)
tr2 = cc(1,2,k)+cc(1,5,k)
tr4 = cc(1,3,k)-cc(1,4,k)
tr3 = cc(1,3,k)+cc(1,4,k)
ch(1,k,1) = cc(1,1,k)+tr2+tr3
ch(2,k,1) = cc(2,1,k)+ti2+ti3
cr2 = cc(1,1,k)+tr11*tr2+tr12*tr3
ci2 = cc(2,1,k)+tr11*ti2+tr12*ti3
cr3 = cc(1,1,k)+tr12*tr2+tr11*tr3
ci3 = cc(2,1,k)+tr12*ti2+tr11*ti3
cr5 = ti11*tr5+ti12*tr4
ci5 = ti11*ti5+ti12*ti4
cr4 = ti12*tr5-ti11*tr4
ci4 = ti12*ti5-ti11*ti4
ch(1,k,2) = cr2-ci5
ch(1,k,5) = cr2+ci5
ch(2,k,2) = ci2+cr5
ch(2,k,3) = ci3+cr4
ch(1,k,3) = cr3-ci4
ch(1,k,4) = cr3+ci4
ch(2,k,4) = ci3-cr4
ch(2,k,5) = ci2-cr5
101 continue
return
102 do 104 k=1,l1
do 103 i=2,ido,2
ti5 = cc(i,2,k)-cc(i,5,k)
ti2 = cc(i,2,k)+cc(i,5,k)
ti4 = cc(i,3,k)-cc(i,4,k)
ti3 = cc(i,3,k)+cc(i,4,k)
tr5 = cc(i-1,2,k)-cc(i-1,5,k)
tr2 = cc(i-1,2,k)+cc(i-1,5,k)
tr4 = cc(i-1,3,k)-cc(i-1,4,k)
tr3 = cc(i-1,3,k)+cc(i-1,4,k)
ch(i-1,k,1) = cc(i-1,1,k)+tr2+tr3
ch(i,k,1) = cc(i,1,k)+ti2+ti3
cr2 = cc(i-1,1,k)+tr11*tr2+tr12*tr3
ci2 = cc(i,1,k)+tr11*ti2+tr12*ti3
cr3 = cc(i-1,1,k)+tr12*tr2+tr11*tr3
ci3 = cc(i,1,k)+tr12*ti2+tr11*ti3
cr5 = ti11*tr5+ti12*tr4
ci5 = ti11*ti5+ti12*ti4
cr4 = ti12*tr5-ti11*tr4
ci4 = ti12*ti5-ti11*ti4
dr3 = cr3-ci4
dr4 = cr3+ci4
di3 = ci3+cr4
di4 = ci3-cr4
dr5 = cr2+ci5
dr2 = cr2-ci5
di5 = ci2-cr5
di2 = ci2+cr5
ch(i-1,k,2) = wa1(i-1)*dr2-wa1(i)*di2
ch(i,k,2) = wa1(i-1)*di2+wa1(i)*dr2
ch(i-1,k,3) = wa2(i-1)*dr3-wa2(i)*di3
ch(i,k,3) = wa2(i-1)*di3+wa2(i)*dr3
ch(i-1,k,4) = wa3(i-1)*dr4-wa3(i)*di4
ch(i,k,4) = wa3(i-1)*di4+wa3(i)*dr4
ch(i-1,k,5) = wa4(i-1)*dr5-wa4(i)*di5
ch(i,k,5) = wa4(i-1)*di5+wa4(i)*dr5
103 continue
104 continue
return
end
subroutine passb (nac,ido,ip,l1,idl1,cc,c1,c2,ch,ch2,wa)
implicit double precision (a-h,o-z)
dimension ch(ido,l1,ip) ,cc(ido,ip,l1) ,
1 c1(ido,l1,ip) ,wa(1) ,c2(idl1,ip),
2 ch2(idl1,ip)
idot = ido/2
nt = ip*idl1
ipp2 = ip+2
ipph = (ip+1)/2
idp = ip*ido
c
if (ido .lt. l1) go to 106
do 103 j=2,ipph
jc = ipp2-j
do 102 k=1,l1
do 101 i=1,ido
ch(i,k,j) = cc(i,j,k)+cc(i,jc,k)
ch(i,k,jc) = cc(i,j,k)-cc(i,jc,k)
101 continue
102 continue
103 continue
do 105 k=1,l1
do 104 i=1,ido
ch(i,k,1) = cc(i,1,k)
104 continue
105 continue
go to 112
106 do 109 j=2,ipph
jc = ipp2-j
do 108 i=1,ido
do 107 k=1,l1
ch(i,k,j) = cc(i,j,k)+cc(i,jc,k)
ch(i,k,jc) = cc(i,j,k)-cc(i,jc,k)
107 continue
108 continue
109 continue
do 111 i=1,ido
do 110 k=1,l1
ch(i,k,1) = cc(i,1,k)
110 continue
111 continue
112 idl = 2-ido
inc = 0
do 116 l=2,ipph
lc = ipp2-l
idl = idl+ido
do 113 ik=1,idl1
c2(ik,l) = ch2(ik,1)+wa(idl-1)*ch2(ik,2)
c2(ik,lc) = wa(idl)*ch2(ik,ip)
113 continue
idlj = idl
inc = inc+ido
do 115 j=3,ipph
jc = ipp2-j
idlj = idlj+inc
if (idlj .gt. idp) idlj = idlj-idp
war = wa(idlj-1)
wai = wa(idlj)
do 114 ik=1,idl1
c2(ik,l) = c2(ik,l)+war*ch2(ik,j)
c2(ik,lc) = c2(ik,lc)+wai*ch2(ik,jc)
114 continue
115 continue
116 continue
do 118 j=2,ipph
do 117 ik=1,idl1
ch2(ik,1) = ch2(ik,1)+ch2(ik,j)
117 continue
118 continue
do 120 j=2,ipph
jc = ipp2-j
do 119 ik=2,idl1,2
ch2(ik-1,j) = c2(ik-1,j)-c2(ik,jc)
ch2(ik-1,jc) = c2(ik-1,j)+c2(ik,jc)
ch2(ik,j) = c2(ik,j)+c2(ik-1,jc)
ch2(ik,jc) = c2(ik,j)-c2(ik-1,jc)
119 continue
120 continue
nac = 1
if (ido .eq. 2) return
nac = 0
do 121 ik=1,idl1
c2(ik,1) = ch2(ik,1)
121 continue
do 123 j=2,ip
do 122 k=1,l1
c1(1,k,j) = ch(1,k,j)
c1(2,k,j) = ch(2,k,j)
122 continue
123 continue
if (idot .gt. l1) go to 127
idij = 0
do 126 j=2,ip
idij = idij+2
do 125 i=4,ido,2
idij = idij+2
do 124 k=1,l1
c1(i-1,k,j) = wa(idij-1)*ch(i-1,k,j)-wa(idij)*ch(i,k,j)
c1(i,k,j) = wa(idij-1)*ch(i,k,j)+wa(idij)*ch(i-1,k,j)
124 continue
125 continue
126 continue
return
127 idj = 2-ido
do 130 j=2,ip
idj = idj+ido
do 129 k=1,l1
idij = idj
do 128 i=4,ido,2
idij = idij+2
c1(i-1,k,j) = wa(idij-1)*ch(i-1,k,j)-wa(idij)*ch(i,k,j)
c1(i,k,j) = wa(idij-1)*ch(i,k,j)+wa(idij)*ch(i-1,k,j)
128 continue
129 continue
130 continue
return
end
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