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From: Jean-Christophe Filliatre <Jean-Christophe.Filliatre@lri.fr>
To: N Hur <mapnh@maths.bath.ac.uk>
Cc: caml-list@inria.fr
Subject: Re: Is this OK?
Date: Mon, 18 May 1998 10:03:53 +0200	[thread overview]
Message-ID: <199805180803.KAA00738@pc85.lri.fr> (raw)
In-Reply-To: <Pine.SUN.3.91.980515135653.27393A-100000@thor.maths.bath.ac.uk>


> (* a camllight session *)
> 
> #(-234)/4
> ;;
> - : int = -58
> 
> 
> #div_big_int (big_int_of_string "-234") (big_int_of_string "4");;
> - : big_int = -59

There is OK. Indeed, when defining the  quotient and the remainder you
must specify the range of the remainder. Usually, you specify that the
remainder of the division of a by b is between  0 and b-1, whatever is
the sign of a. That is the case in the big_in library.

But in the case of Caml division, the  specification is different: the
remainder has the same sign that a, which is negative in your example.

But in both cases you always have

	a = b * (a/b) + (a mod b)

which is the expected invariant.


-- 
Jean-Christophe FILLIATRE
  mailto:Jean-Christophe.Filliatre@lri.fr
  http://www.lri.fr/~filliatr





  reply	other threads:[~1998-05-18 13:36 UTC|newest]

Thread overview: 4+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
1998-05-15 13:02 N Hur
1998-05-18  8:03 ` Jean-Christophe Filliatre [this message]
1998-05-18 12:51 ` Xavier Leroy
1998-05-18 13:59 Damien Doligez

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