mvfft (PR#176)

[plummer@iarc.fr]

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R-0.64.0 on RedHat Linux 5.1

Some problems with multivariate fast fourier transform. I
have attached the dump of a 30 x 3 matrix that seems to
reliably reproduce these problems

1) mvfft doesn't like vectors. It complains about not having
   enough memory:

R> mvfft(xx[,1])
Error: heap memory (2048 Kb) exhausted [needed 1024 Kb more]
       See "help(Memory)" on how to increase the heap size.

What in fact is happening here is that do_mvfft tries to
get the dimensions of the argument (fourier.c: 125), but 
gets junk instead, since the argument is not an array.

2) mvfft causes a segmentation fault or gets stuck in a loop

R> mvfft(xx)

Program received signal SIGSEGV, Segmentation fault.
0x80d36cb in fftmx (a=0x40617eb0, b=0x40617eb8, ntot=30, n=30, nspan=30, 
    isn=-2, m=3, kt=0, at=0x407c8f58, ck=0x407c8f80, bt=0x407c8fa8, 
    sk=0x407c8fd0, np=0x407c8ee4, nfac=0x8115a78) at fft.c:558
558         bt[j] = b[k1] - b[k2];
(gdb) print bt[j]
Cannot access memory at address 0x407cb000.
(gdb) print kspan
$4 = 0

We're in a loop here where kspan is the increment for k1 and decrement
for k2. The loop breaks when k1 < k2, but somehow kspan is zero.  How it
got there, I can't say, as we're in goto hell at this point.

Martyn

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"xx" <-
structure(c(2.80791, 2.92504, 3.02911, 2.85911, 3.28071, 3.43015, 
2.3898, 1.67055, 3.81164, 2.43832, 2.92065, 1.37547, 3.23811, 
2.96203, 2.83998, 2.36596, 3.51832, 2.59301, 3.08633, 2.87675, 
3.16977, 2.81822, 2.48206, 3.28322, 2.51132, 3.01153, 3.25603, 
2.98599, 2.93238, 2.12555, 1.15452, 0.625684, 0.708469, 0.984351, 
0.576846, 0.228625, 1.40307, 1.21012, 0.143615, 1.4046, 1.32799, 
0.0254974, 1.17005, 1.28567, 1.51562, 0.842245, 0.852613, 0.780749, 
0.967637, 0.810536, 0.858167, 0.960625, 0.613509, 1.38389, 1.22199, 
0.93934, 0.479022, 0.684411, 0.907639, 0.694256, 0.637226, 0.698318, 
0.404093, 0.979977, 1.42097, 0.761441, 1.0802, 2.09035, 2.85473, 
2.44305, 1.81988, 1.78082, 1.69385, 0.643862, 1.5311, 0.960032, 
0.69531, 0.821253, 0.49187, 0.394229, 0.806075, 0.557793, 0.694918, 
1.46079, 1.56847, 0.823876, 0.73726, 0.698766, 0.800476, 1.45114
), .Dim = c(30, 3), .Dimnames = list(NULL, c("alpha", "beta", 
"sigma")))

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