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c
c-----------------------------------------------------------------------
c subroutine: r8syn
c radix 8 synthesis subroutine
c-----------------------------------------------------------------------
c
subroutine r8syn(int, nn, br0, br1, br2, br3, br4, br5, br6, br7,
* bi0, bi1, bi2, bi3, bi4, bi5, bi6, bi7)
dimension l(15), br0(2), br1(2), br2(2), br3(2), br4(2), br5(2),
* br6(2), br7(2), bi0(2), bi1(2), bi2(2), bi3(2), bi4(2),
* bi5(2), bi6(2), bi7(2)
common /con1/ pii, p7, p7two, c22, s22, pi2
equivalence (l15,l(1)), (l14,l(2)), (l13,l(3)), (l12,l(4)),
* (l11,l(5)), (l10,l(6)), (l9,l(7)), (l8,l(8)), (l7,l(9)),
* (l6,l(10)), (l5,l(11)), (l4,l(12)), (l3,l(13)), (l2,l(14)),
* (l1,l(15))
l(1) = nn/8
do 40 k=2,15
if (l(k-1)-2) 10, 20, 30
10 l(k-1) = 2
20 l(k) = 2
go to 40
30 l(k) = l(k-1)/2
40 continue
piovn = pii/float(nn)
ji = 3
jl = 2
jr = 2
c
do 120 j1=2,l1,2
do 120 j2=j1,l2,l1
do 120 j3=j2,l3,l2
do 120 j4=j3,l4,l3
do 120 j5=j4,l5,l4
do 120 j6=j5,l6,l5
do 120 j7=j6,l7,l6
do 120 j8=j7,l8,l7
do 120 j9=j8,l9,l8
do 120 j10=j9,l10,l9
do 120 j11=j10,l11,l10
do 120 j12=j11,l12,l11
do 120 j13=j12,l13,l12
do 120 j14=j13,l14,l13
do 120 jthet=j14,l15,l14
th2 = jthet - 2
if (th2) 50, 50, 90
50 do 60 k=1,int
t0 = br0(k) + br1(k)
t1 = br0(k) - br1(k)
t2 = br2(k) + br2(k)
t3 = br3(k) + br3(k)
t4 = br4(k) + br6(k)
t6 = br7(k) - br5(k)
t5 = br4(k) - br6(k)
t7 = br7(k) + br5(k)
pr = p7*(t7+t5)
pi = p7*(t7-t5)
tt0 = t0 + t2
tt1 = t1 + t3
t2 = t0 - t2
t3 = t1 - t3
t4 = t4 + t4
t5 = pr + pr
t6 = t6 + t6
t7 = pi + pi
br0(k) = tt0 + t4
br1(k) = tt1 + t5
br2(k) = t2 + t6
br3(k) = t3 + t7
br4(k) = tt0 - t4
br5(k) = tt1 - t5
br6(k) = t2 - t6
br7(k) = t3 - t7
60 continue
if (nn-8) 120, 120, 70
70 k0 = int*8 + 1
kl = k0 + int - 1
do 80 k=k0,kl
t1 = bi0(k) + bi6(k)
t2 = bi7(k) - bi1(k)
t3 = bi0(k) - bi6(k)
t4 = bi7(k) + bi1(k)
pr = t3*c22 + t4*s22
pi = t4*c22 - t3*s22
t5 = bi2(k) + bi4(k)
t6 = bi5(k) - bi3(k)
t7 = bi2(k) - bi4(k)
t8 = bi5(k) + bi3(k)
rr = t8*c22 - t7*s22
ri = -t8*s22 - t7*c22
bi0(k) = (t1+t5) + (t1+t5)
bi4(k) = (t2+t6) + (t2+t6)
bi1(k) = (pr+rr) + (pr+rr)
bi5(k) = (pi+ri) + (pi+ri)
t5 = t1 - t5
t6 = t2 - t6
bi2(k) = p7two*(t6+t5)
bi6(k) = p7two*(t6-t5)
rr = pr - rr
ri = pi - ri
bi3(k) = p7two*(ri+rr)
bi7(k) = p7two*(ri-rr)
80 continue
go to 120
90 arg = th2*piovn
c1 = cos(arg)
s1 = -sin(arg)
c2 = c1**2 - s1**2
s2 = c1*s1 + c1*s1
c3 = c1*c2 - s1*s2
s3 = c2*s1 + s2*c1
c4 = c2**2 - s2**2
s4 = c2*s2 + c2*s2
c5 = c2*c3 - s2*s3
s5 = c3*s2 + s3*c2
c6 = c3**2 - s3**2
s6 = c3*s3 + c3*s3
c7 = c3*c4 - s3*s4
s7 = c4*s3 + s4*c3
int8 = int*8
j0 = jr*int8 + 1
k0 = ji*int8 + 1
jlast = j0 + int - 1
do 100 j=j0,jlast
k = k0 + j - j0
tr0 = br0(j) + bi6(k)
ti0 = bi7(k) - br1(j)
tr1 = br0(j) - bi6(k)
ti1 = bi7(k) + br1(j)
tr2 = br2(j) + bi4(k)
ti2 = bi5(k) - br3(j)
tr3 = bi5(k) + br3(j)
ti3 = bi4(k) - br2(j)
tr4 = br4(j) + bi2(k)
ti4 = bi3(k) - br5(j)
t0 = br4(j) - bi2(k)
t1 = bi3(k) + br5(j)
tr5 = p7*(t0+t1)
ti5 = p7*(t1-t0)
tr6 = br6(j) + bi0(k)
ti6 = bi1(k) - br7(j)
t0 = br6(j) - bi0(k)
t1 = bi1(k) + br7(j)
tr7 = -p7*(t0-t1)
ti7 = -p7*(t1+t0)
t0 = tr0 + tr2
t1 = ti0 + ti2
t2 = tr1 + tr3
t3 = ti1 + ti3
tr2 = tr0 - tr2
ti2 = ti0 - ti2
tr3 = tr1 - tr3
ti3 = ti1 - ti3
t4 = tr4 + tr6
t5 = ti4 + ti6
t6 = tr5 + tr7
t7 = ti5 + ti7
ttr6 = ti4 - ti6
ti6 = tr6 - tr4
ttr7 = ti5 - ti7
ti7 = tr7 - tr5
br0(j) = t0 + t4
bi0(k) = t1 + t5
br1(j) = c1*(t2+t6) - s1*(t3+t7)
bi1(k) = c1*(t3+t7) + s1*(t2+t6)
br2(j) = c2*(tr2+ttr6) - s2*(ti2+ti6)
bi2(k) = c2*(ti2+ti6) + s2*(tr2+ttr6)
br3(j) = c3*(tr3+ttr7) - s3*(ti3+ti7)
bi3(k) = c3*(ti3+ti7) + s3*(tr3+ttr7)
br4(j) = c4*(t0-t4) - s4*(t1-t5)
bi4(k) = c4*(t1-t5) + s4*(t0-t4)
br5(j) = c5*(t2-t6) - s5*(t3-t7)
bi5(k) = c5*(t3-t7) + s5*(t2-t6)
br6(j) = c6*(tr2-ttr6) - s6*(ti2-ti6)
bi6(k) = c6*(ti2-ti6) + s6*(tr2-ttr6)
br7(j) = c7*(tr3-ttr7) - s7*(ti3-ti7)
bi7(k) = c7*(ti3-ti7) + s7*(tr3-ttr7)
100 continue
jr = jr + 2
ji = ji - 2
if (ji-jl) 110, 110, 120
110 ji = 2*jr - 1
jl = jr
120 continue
return
end
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