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