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Date: | 2005-11-29 (18:46) |
From: | Thomas Gazagnaire <thomas.gazagnaire@i...> |
Subject: | Integral solutions of rational linear equations |
Hello, in my one of my Ocaml programs, I need to find all integers solutions of a rational equation systems. This algo uses Gauss reduction and Hermite normal form, and need to know if a rational is an integer or not (ie. I don't want to use numerical approximation : (1/3) * 3 is an integer but 0,333333*3 we don't know). I didn't find any integer algebra package for ocaml, so I tried to implement Gauss elimination (easy) and Hermite normal form (more difficult...). But I didn't implement optimized version of these algorithms... So my question is : do you know if exists a native ocaml module or an interface with a C library which is able to do integer/rational matrix manipulation (essentialy the Hermite normal form) in an efficient way ? Thomas