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From: Niklas Holsti <niklas.holsti@tidorum.invalid>
Subject: Re: Random number generation
Date: Thu, 30 Dec 2010 15:22:00 +0200
Date: 2010-12-30T15:22:00+02:00	[thread overview]
Message-ID: <8o3fboFsniU1@mid.individual.net> (raw)
In-Reply-To: <ztxwdep27jin.1qme1x6mz4psa.dlg@40tude.net>

Dmitry A. Kazakov wrote:

> BTW, a sum of n realizations of a uniformly distributed random number is
> distributed uniformly with the factor n. So you need not to run a cycle
> within Roll:
> 
>    function Roll
>             (  Dice     : Generator;
>                Number   : in Positive;
> 		   Size     : in Positive;
> 		   Modifier : in Integer := 0
>             )  return Integer is 
>    begin
>       return Number * ((Random (Dice) mod Size) + 1) + Modifier;
>    end Roll;

I don't think that gives uniformly distributed numbers, since it only 
produces results that are some multiple of Number, plus the Modifier. 
The OP's implementation gives a more uniform result.

The multiplication formula might work for floating-point values, 
depending on how fine-scaled uniformity is needed.

-- 
Niklas Holsti
Tidorum Ltd
niklas holsti tidorum fi
       .      @       .



  reply	other threads:[~2010-12-30 13:22 UTC|newest]

Thread overview: 57+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2010-12-30 10:43 Random number generation Mart van de Wege
2010-12-30 10:54 ` Thomas Løcke
2010-12-30 12:11   ` Mart van de Wege
2010-12-30 11:34 ` Niklas Holsti
2010-12-30 11:53   ` Georg Bauhaus
2010-12-30 12:25     ` Mart van de Wege
2010-12-30 15:29       ` Georg Bauhaus
2010-12-30 15:37         ` Mart van de Wege
2010-12-30 11:51 ` Brian Drummond
2010-12-30 12:16   ` Mart van de Wege
2010-12-30 13:04 ` Dmitry A. Kazakov
2010-12-30 13:22   ` Niklas Holsti [this message]
2010-12-30 13:39     ` Dmitry A. Kazakov
2010-12-30 13:30   ` Mart van de Wege
2010-12-31  3:14 ` Gene
  -- strict thread matches above, loose matches on Subject: below --
2010-07-13 12:45 tonyg
2010-07-13 12:50 ` Jacob Sparre Andersen
2010-07-13 12:58 ` Dmitry A. Kazakov
2010-07-13 13:17 ` Thomas Løcke
2010-07-13 16:07 ` Jeffrey R. Carter
2010-07-13 20:33   ` John B. Matthews
2010-07-13 23:02     ` Jeffrey R. Carter
2010-07-14  4:42       ` John B. Matthews
2010-07-15 19:01         ` tonyg
2003-09-26  7:14 random " christoph.grein
2003-09-26  7:00 Andrew
2003-09-26  7:35 ` tmoran
2003-09-26 17:58   ` Andrew
2003-09-26 19:25   ` Andrew
2003-09-26 19:35     ` chris
2003-09-26 21:44     ` tmoran
2003-09-27  1:40     ` Robert I. Eachus
2003-09-27  4:48       ` Andrew
1997-12-19  0:00 Mok-kong Shen
1998-01-02  0:00 ` Mok-kong Shen
1998-01-02  0:00   ` Robert Dewar
1996-10-13  0:00 Random Number Generation parker
1996-10-13  0:00 ` Robert Dewar
1996-10-14  0:00 ` Robert A Duff
1996-10-10  0:00  Dr J Parker
1996-10-12  0:00 ` Geert Bosch
1996-10-12  0:00 ` Keith Thompson
1996-10-10  0:00  Dr J Parker
1996-10-02  0:00  Dr J Parker
1996-10-03  0:00 ` Mats Weber
1996-10-07  0:00 ` Geert Bosch
1996-09-23  0:00 Nigel J. Tracey
1996-09-23  0:00 ` Tucker Taft
1996-10-02  0:00   ` Robert I. Eachus
1996-10-02  0:00   ` Nigel J. Tracey
1996-10-03  0:00   ` Nigel J. Tracey
1996-09-25  0:00 ` James_Rogers
1996-09-26  0:00   ` Dale Stanbrough
1996-10-01  0:00   ` Robert I. Eachus
1996-09-30  0:00 `  Dr J Parker
1996-10-01  0:00   ` Tucker Taft
1996-10-01  0:00     ` Keith Thompson
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