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--- Den tors 6/1/11 skrev tikkanz <[email protected]>:

> Fra: tikkanz <[email protected]>
> Emne: Re: [Jprogramming] FFT
> Til: "Programming JForum" <[email protected]>
> Dato: torsdag 6. januar 2011 11.30
> Not protected afaics. Are you logged
> in? Ric 
> 
> -----Original Message-----
> From: Bo Jacoby <[email protected]>
> Sent: Thursday, 6 January 2011 22:26
> To: Programming forum <[email protected]>
> Subject: Re: [Jprogramming] FFT
> 
> The page 
> http://www.jsoftware.com/jwiki/JohnRandall/FourierTransformAndPolynomialMultiplication
> contains the definition
>    rou=:[: r. 2p1 * i. % ]
> I'd like to supplement with the shorter definition
>    rou=:_1^2%]
> but the page is write protected. Why?
> - Bo
> 
> --- Den tors 6/1/11 skrev Roger Hui <[email protected]>:
> 
> > Fra: Roger Hui <[email protected]>
> > Emne: [Jprogramming] FFT
> > Til: "Programming forum" <[email protected]>
> > Dato: torsdag 6. januar 2011 07.54
> > http://www.jsoftware.com/jwiki/Essays/FFT
> > 
> > cube  =: ($~ q:@#) :. ,
> > roots =: +...@]^:(0>[)  (_1^2%]) ^ i...@-:
> > floop =: 4 : 'for_r. i.#$x do. (y=.{."1 y) ] x=.(+/x)
> > ,&,:"r (-/x)*y end.'
> > fft   =: (] floop&.cube 1&ro...@#)
> > f. :. ifft
> > 
> > This is a rare practical use of a high rank array. 
> > ("High" means greater than 4, say.)  The only other 
> > "use" that I know of is the complete tensor of order
> n.
> > http://www.jsoftware.com/help/dictionary/dccapdot.htm
> > 
> > The expression ,&,:"r in floop can be simplified
> to
> > ,:"r 
> > if r is nonzero.  This suggested that perhaps the
> > definition 
> > of atom0 ,: atom1 is incorrect.  (Should have shape
> 2
> > 
> > instead of 2 1.)
> > 
> > 
> > 
> >
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