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Diffstat (limited to 'math/ieee/chap1/fsst.f')
-rw-r--r-- | math/ieee/chap1/fsst.f | 71 |
1 files changed, 71 insertions, 0 deletions
diff --git a/math/ieee/chap1/fsst.f b/math/ieee/chap1/fsst.f new file mode 100644 index 00000000..75ce56cb --- /dev/null +++ b/math/ieee/chap1/fsst.f @@ -0,0 +1,71 @@ +c +c----------------------------------------------------------------------- +c subroutine: fsst +c fourier synthesis subroutine +c----------------------------------------------------------------------- +c + subroutine fsst(b, n) +c +c this subroutine synthesizes the real vector b(k), for +c k=1,2,...,n, from the fourier coefficients stored in the +c b array of size n+2. the dc term is in b(1) with b(2) equal +c to 0. the jth harmonic is stored as b(2*j+1) + i b(2*j+2). +c the n/2 harmonic is in b(n+1) with b(n+2) equal to 0. +c the subroutine is called as fsst(b,n) where n=2**m and +c b is the real array discussed above. +c + dimension b(2) + common /const/ pii, p7, p7two, c22, s22, pi2 +c +c iw is a machine dependent write device number +c + iw = i1mach(2) +c + pii = 4.*atan(1.) + pi8 = pii/8. + p7 = 1./sqrt(2.) + p7two = 2.*p7 + c22 = cos(pi8) + s22 = sin(pi8) + pi2 = 2.*pii + do 10 i=1,15 + m = i + nt = 2**i + if (n.eq.nt) go to 20 + 10 continue + write (iw,9999) +9999 format (33h n is not a power of two for fsst) + stop + 20 b(2) = b(n+1) + do 30 i=4,n,2 + b(i) = -b(i) + 30 continue +c +c scale the input by n +c + do 40 i=1,n + b(i) = b(i)/float(n) + 40 continue + n4pow = m/2 +c +c scramble the inputs +c + call ford2(m, b) + call ford1(m, b) +c + if (n4pow.eq.0) go to 60 + nn = 4*n + do 50 it=1,n4pow + nn = nn/4 + int = n/nn + call fr4syn(int, nn, b(1), b(int+1), b(2*int+1), b(3*int+1), + * b(1), b(int+1), b(2*int+1), b(3*int+1)) + 50 continue +c +c do a radix 2 iteration if one is required +c + 60 if (m-n4pow*2) 80, 80, 70 + 70 int = n/2 + call fr2tr(int, b(1), b(int+1)) + 80 return + end |