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From: Carl Eastlund <ceastlund@janestreet.com>
To: François Pottier <francois.pottier@inria.fr>
Cc: caml users <caml-list@inria.fr>
Subject: Re: [Caml-list] zarith: how to pick a random integer?
Date: Wed, 27 Nov 2019 16:51:46 -0500
Message-ID: <CALyFioQiQc1LCpWA9N3p6JHESRH+7AY+0sZxC2G8o42WbW5xtg@mail.gmail.com> (raw)
In-Reply-To: <a025b23b-a84d-164f-7fb9-06a5ee083753@inria.fr>

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See the Make_random functor in the janestreet Bigint library, which is
built on top of zarith. (It's a functor to produce random distributions
based on both Random.State.t and Base_quickcheck.Generator.t; the functor
itself is not exposed.)

https://github.com/janestreet/bignum/blob/master/bigint/src/bigint.ml

In short, we generate 30-bit chunks of randomness until we have at least
enough bits for our range. We combine those into a number. Usually, we just
modulo that by the range and return it. But to preserve fairness, we first
have to check if the number is in the last fraction-of-range part of the N
bits, and if so retry from scratch. The odds of retry are always less than
50%, so retrying is never too bad.

This is the same trick that Random.int does, but with an unbounded number
of bits instead of a fixed number of bits.

On Wed, Nov 27, 2019 at 4:31 PM François Pottier <francois.pottier@inria.fr>
wrote:

>
> Hello,
>
> I am using zarith and would like to pick a random integer
> comprised between 0 and some bound. I would like a function
> Z.random of type Z.t -> Z.t, but this function seems to be
> missing, and I am not sure how to program it in an efficient
> and correct way. Any suggestions would be welcome. Thanks!
>
> --
> François Pottier
> francois.pottier@inria.fr
> http://gallium.inria.fr/~fpottier/
>


-- 
Carl Eastlund

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  reply index

Thread overview: 5+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2019-11-27 21:31 François Pottier
2019-11-27 21:52 ` Carl Eastlund [this message]
2019-11-28  8:13   ` François Pottier
2019-11-28  9:27 basile
2019-11-28  9:30 ` basile

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