Timing is not everything.  In this case f2 is computing
something weird and possibly misleading:  All the 
elements of a row are the same. e.g.

   f2 3 4$9
2.06843 2.06843 2.06843 2.06843
5.20443 5.20443 5.20443 5.20443
1.00311 1.00311 1.00311 1.00311
   f3 3 4$9
 3.36383 8.62184  6.76132 4.76392
 8.01329 7.10008 0.285073 3.84514
0.950537 6.16313 0.214141 3.56592



----- Original Message -----
From: "R.E. Boss" <[EMAIL PROTECTED]>
Date: Monday, June 30, 2008 23:56
Subject: RE: [Jprogramming] Random number generation
To: 'Programming forum' <[email protected]>

>    f3=: 3 : 'y * ($y) [EMAIL PROTECTED] 0'
>    f2=: 3 : 'y * ?(#y)#0'
> 
>    ts 'f2 Y' [Y=:1000 1000$9
> 0.0098060407 8402944
>    ts 'f3 Y'
> 0.034617353 16781696
> 
> 
> R.E. Boss
> 
> 
> > -----Oorspronkelijk bericht-----
> > Van: [EMAIL PROTECTED] [mailto:programming-
> > [EMAIL PROTECTED] Namens Joey K Tuttle
> > Verzonden: maandag 30 juni 2008 19:41
> > Aan: Programming forum
> > Onderwerp: Re: [Jprogramming] Random number generation
> > 
> > Interestingly, I see almost no change in speed/space between 
> (my) f2 and
> > f3...
> > 
> >     ts 'f2 1000 1000$9'
> > 0.231313 2.20224e7
> >     ts 'f3 1000 1000$9'
> > 0.235067 2.0974e7
> > 
> > Well - I guess a million bytes in space saving is
> > nothing to sneeze at (used to be a lot of
> > memory...) so I applaud the optimization work you
> > have done!
> > 
> > Thanks - joey
> > 
> > At 10:08  -0700 2008/06/30, Roger Hui wrote:
> > >To gain more speed (and reduce space), use:
> > >
> > >f3=: 3 : 'y * ($y) [EMAIL PROTECTED] 0'
> > >
> > >[EMAIL PROTECTED] is supported by special code.  The difference
> > >is most striking for random booleans:
> > >
> > >    ts=: 6!:2 , 7!:[EMAIL PROTECTED]
> > >
> > >    ts '1e6 [EMAIL PROTECTED] 2'
> > >0.00275063 1.04934e6
> > >    ts '?1e6$2'
> > >0.00555685 5.24352e6
> > >
> > >
> > >
> > >----- Original Message -----
> > >From: Joey K Tuttle <[EMAIL PROTECTED]>
> > >Date: Monday, June 30, 2008 8:54
> > >Subject: RE: [Jprogramming] Random number generation
> > >To: Programming forum <[email protected]>
> > >Cc: 'Programming forum' <[email protected]>
> > >
> > >>  Not to quibble... but
> > >>
> > >>      f2 =: 3 : 'y * ?(#y)#0'
> > >>
> > >>  has a related trouble to the original post with
> > >>  argument rank > 1 ... f1 is actually better in
> > >>  extending "to work with arrays of any shape". To
> > >>  try to gain some speed, perhaps you really meant
> > >>  to say:
> > >>
> > >>      f2 =: 3 : 'y * ?($y)$0'
> > >>
> > >>  - joey
> > >>
> > >>
> > >>  At 10:59  -0400 2008/06/30, Henry Rich wrote:
> > >>  >What you executed was:
> > >>  >
> > >>  >3 3 * ?0
> > >>  >
> > >>  >which is
> > >>  >
> > >>  >3 3 * (?0)
> > >>  >
> > >>  >in other words, you asked for one number, then 
> multiplied it by
> > >>  3 twice.
> > >>  >
> > >>  >
> > >>  >You could have your verb apply to atoms by giving it 
> a rank of 0:
> > >>  >
> > >>  >    f1 =: 3 : 'y * ?0'"0
> > >>  >
> > >>  >Or, you could design it to work with arrays of any shape:
> > >>  >
> > >>  >    f2 =: 3 : 'y * ?(#y)#0'
> > >>  >
> > >>  >Working with bigger arrays is faster, but perhaps 
> not by enough
> > >>  >to be worth the trouble.  Depends on your 
> application.> >>  >
> > >>  >Henry Rich
> > >>  >
> > >>  >
> > >>  >>  -----Original Message-----
> > >>  >>  From: [EMAIL PROTECTED]
> > >>  >>  [mailto:[EMAIL PROTECTED] 
> On Behalf Of
> > >>  >>  Benoît Roesslinger
> > >>  >>  Sent: Monday, June 30, 2008 10:46 AM
> > >>  >>  To: [email protected]
> > >>  >>  Subject: [Jprogramming] Random number generation
> > >>  >>
> > >>  >>  Hi,
> > >>  >>
> > >>  >>  I am new to J and when doing some 
> experiments with random
> > >>  >>  number generation
> > >>  >>  I stumbled across the following behavior, 
> which wasn't what
> > >>  >>  I'd expect :
> > >>  >>
> > >>  >>     f=: 3 : 'y * ?0'
> > >>  >>     f 3
> > >>  >>  2.91414
> > >>  >>     f 3
> > >>  >>  0.139888
> > >>  >>     f 3
> > >>  >>  0.990328
> > >>  >>
> > >>  >>  OK so far, but when I tried:
> > >>  >>
> > >>  >>     f 3 3
> > >>  >>
> > >>  >>  it gives me :
> > >>  >>
> > >>  >>  0.0403801 0.0403801 (same values!)
> > >>  >>
> > >>  >>  whereas I'd expect a behavior much like the 
> one of '?'...
> > >>  >>  Is this behavior normal ?
> > >>  >>  Suppose I want to create a function to 
> generate a random
> > >>  >>  deviate from a
> > >>  >>  distribution (normal for instance) with some 
> parameters (mean
> > >>  >>  and sd for
> > >>  >>  instance) that will work in the same fashion 
> as '?', ie
> > >>  it is
> > >>  >>  possible to
> > >>  >>  generate lots of random deviates at once 
> using code
> > >>  such as :
> > >>  >>  distri 100 $
> > >>  >>  x, where x would represent parameters, what 
> is the best
> > >>  way to go ?
> > >>  >>
> > >>  >>  Many thanks in advance!
> > >>  >>
> > >>  >>  Benoît.
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