X-Authentication-Warning: delorie.com: mail set sender to geda-user-bounces using -f Date: Sun, 13 Sep 2015 19:00:54 -0400 Message-Id: <201509132300.t8DN0sE6006134@envy.delorie.com> From: DJ Delorie To: geda-user AT delorie DOT com In-reply-to: (message from John Doty on Sun, 13 Sep 2015 16:47:03 -0600) Subject: Re: [geda-user] Apollon References: <20150913140631 DOT 1da1b78d AT jive DOT levalinux DOT org> <201509131529 DOT t8DFTUVS022118 AT envy DOT delorie DOT com> <201509131824 DOT t8DIOCBc028428 AT envy DOT delorie DOT com> <201509132031 DOT t8DKVH0P000824 AT envy DOT delorie DOT com> <201509132148 DOT t8DLmxI6003481 AT envy DOT delorie DOT com> Reply-To: geda-user AT delorie DOT com Errors-To: nobody AT delorie DOT com X-Mailing-List: geda-user AT delorie DOT com X-Unsubscribes-To: listserv AT delorie DOT com Precedence: bulk > > Also, most rational vectors do not have a rational magnitude. > > If you have a Pythagorean triple (x, y, h), x^2+y^2==h^2, it > represents an angle arctan(y/x). Except that h is typically *not* an integer. Once you go off-integer, you hit the FPU precision problem, because in the FPU all numbers are on a "grid". The only way to avoid the FPU precision problem is to avoid *all* floating point numbers, rational or otherwise, and stick with integers.