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Re: [cgal-discuss] Compute angle between two vectors


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  • From: "Laurent Rineau (CGAL/GeometryFactory)" <>
  • To:
  • Subject: Re: [cgal-discuss] Compute angle between two vectors
  • Date: Fri, 03 Mar 2017 15:07:45 +0100
  • Authentication-results: mail3-smtp-sop.national.inria.fr; spf=None ; spf=Pass ; spf=None
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  • Organization: GeometryFactory
Le Friday, March 3, 2017 1:32:41 PM CET Thomas Holzmann a écrit :
> Is there a way to normalize exact vectors (without sqrt). When I could
> compute an exact unit vector, the inexact angle computation would not be
> a problem...

I do not think so. Let's take for example the vector {1., 1., 1.}. Its
normalize version is:
{ 1./sqrt(3.), 1./sqrt(3.), 1./sqrt(3.) }

I think you cannot normalize vectors without being able to compute sqrt. You
can probably compute *approximately normalized* vectors, though.

--
Laurent Rineau, PhD
R&D Engineer at GeometryFactory http://www.geometryfactory.com/
Release Manager of the CGAL Project http://www.cgal.org/


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