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Stephane,
It is the total [cumulative] error that should be minimum.
The idea of this Elementary Fourier Analysis [let us use EFA instead 
of FFT, because FFT concept is a bit different...] refers to the 
whole history of the oscillator.
Another procedure would be the Sum(error,per) to reflect the last per 
days, but not for this moment.
If we have a faster code, we could add more sinusoidal summands and 
drop the error below 1%.[!!]
Dimitris Tsokakis
--- In amibroker@xxxxxxxxxxxxxxx, "Stephane Carrasset" 
<s.carrasset@xxxx> wrote:
> Dimitri,
> 
> is it really important to keep lastvalue in
> error=LastValue(Cum(abs(y-detrend)));
> 
> because  in c++ I can write the code without lastvalue, but of 
course the result s different
> 
> stephane
> 
>   ----- Original Message ----- 
>   From: DIMITRIS TSOKAKIS 
>   To: amibroker@xxxxxxxxxxxxxxx 
>   Sent: Thursday, May 13, 2004 9:42 AM
>   Subject: [amibroker] Re: New file uploaded to amibroker
> 
> 
>   Stephane,
>   you may see now the comparison of my AFL Elementary Fourier 
analysis 
>   and the usual FFT. There is a significant error decreament but, 
the 
>   most important, a much better fundamental period approximation.
>   The sample was 921 bars of the Nikkei C1=MA(RSI(50),100); and the 
FFT 
>   analysis was executed in DaDisp_SE2000.
>   Any suggestion to make my analysis faster would improve the 
>   sinusoidal approximation and would give an interesting T/A tool
>   Dimitris Tsokakis
>   --- In amibroker@xxxxxxxxxxxxxxx, "Stephane Carrasset" 
>   <s.carrasset@xxxx> wrote:
>   > Dimitri, Perhaps I'll try to translate it in c++ (this WE) to 
get 
>   it faster...
>   > But as I see you turn to be a master in looping
>   > I think you must have a look to c++ programming with ADK 
because 
>   there is a math world that I would like to explore ( Adaptive 
>   simulated annealing) http://www.ingber.com
>   > 
>   > 
>   > stephane
>   >   ----- Original Message ----- 
>   >   From: DIMITRIS TSOKAKIS 
>   >   To: amibroker@xxxxxxxxxxxxxxx 
>   >   Sent: Thursday, May 06, 2004 9:47 PM
>   >   Subject: [amibroker] Re: New file uploaded to amibroker
>   > 
>   > 
>   >   Note also, to avoid any confusion, that it is pure sinusoidal 
>   >   analysis and has nothing to do with FFT, the 512 or 1024 or 
2^n 
>   >   points, the well known end point problems etc.
>   >   I believe the sinusoidal trend gives interesting info in 
>   combination 
>   >   with the [available in AFL syntax] linear trend.
>   >   Dimitris Tsokakis
>   >   --- In amibroker@xxxxxxxxxxxxxxx, "DIMITRIS TSOKAKIS" 
>   <TSOKAKIS@xxxx> 
>   >   wrote:
>   >   > Stephane,
>   >   > Any ideas to make it shorter will be much appreciated !!
>   >   > We should *do* something instead of waiting and waiting 
[and I 
>   hope 
>   >   > you agree...]
>   >   > Dimitris Tsokakis
>   >   > --- In amibroker@xxxxxxxxxxxxxxx, "Stephane Carrasset" 
>   >   > <s.carrasset@xxxx> wrote:
>   >   > > Ouah!!
>   >   > > Dimitri, don't know how many loops you have written, it 
takes 
>   at 
>   >   > least 2 minutes to be plotted on my "old" computer...
>   >   > > it seems here we find an usage of c++
>   >   > > 
>   >   > > stephane
>   >   > >   ----- Original Message ----- 
>   >   > >   From: amibroker@xxxxxxxxxxxxxxx 
>   >   > >   To: amibroker@xxxxxxxxxxxxxxx 
>   >   > >   Sent: Thursday, May 06, 2004 9:48 AM
>   >   > >   Subject: [amibroker] New file uploaded to amibroker
>   >   > > 
>   >   > > 
>   >   > > 
>   >   > >   Hello,
>   >   > > 
>   >   > >   This email message is a notification to let you know 
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>   >   > >     File        : /Elementary Fourier 
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>   >   > >     Uploaded by : dtsokakis <TSOKAKIS@xxxx> 
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>   >   > >   You can access this file at the URL
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>   >   > >   
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>   >   > >   dtsokakis <TSOKAKIS@xxxx>
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