James Rickards on Fri, 20 Jan 2023 18:38:34 +0100

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Re: Plane geometry in PARI

Hi all,

Thank you for the suggestions! I will check them out.

A brief summary of the input is I start with a quaternion algebra, generate some data, and end up with points in R^3 that are approximate real numbers. We then want to compute their convex hull and study this.
The program that my collaborator is using doesn't handle precision well, and we get incorrect results for some larger inputs (i.e we can't fix it by increasing the precision of the input data). This is why I was hoping that something may have been written with PARI. However, a program that can work with large precision would also do the trick.


From: Bill Allombert <Bill.Allombert@math.u-bordeaux.fr>
Sent: Friday, January 20, 2023 3:50 AM
To: pari-users@pari.math.u-bordeaux.fr <pari-users@pari.math.u-bordeaux.fr>
Subject: Re: Plane geometry in PARI
On Tue, Jan 17, 2023 at 08:22:29PM +0000, James Rickards wrote:
> Are there any libraries of methods built on top of PARI which work with plane geometry? The main things that I want to compute are:
>   *   Given a set of points (say in R^3), find their convex hull
>   *   Given a set of planes in R^3, they divide R^3 into regions. Return the connected component of the origin.

There a lot of possible software, the choice depends on the input and output you expect.
Maybe give an example ? I use normaliz but it is more targetted toward discrete set.