I have to correct myself. The function test_fft1() still does not work, it 
just looked good in the plots, but at a closer look, Re(IFFT) is close to 
zero and is far from matching the exact IFT.

So it seems FFT(IFFT(f)) == IFFT(FFT(f)) == 1 (if done right ;-), but I just 
cannot reproduce the exact (I)FT.

        Felix
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