MPI-I-98-1-023

Rational points on circles

Burnikel, Christoph

MPI-I-98-1-023. October 1998, 14 pages. | Status: available - back from printing | Next --> Entry | Previous <-- Entry

Abstract in LaTeX format:
We solve the following problem.
For a given rational circle $C$ passing through the rational points
$p$, $q$, $r$ and a given angle $\alpha$, compute a rational point
on $C$ whose angle at $C$ differs from $\alpha$ by a value of
at most $\epsilon$.
In addition, try to minimize the bit length of the computed point.

This document contains the C++ program |rational_points_on_circle.c|.
We use the literate programming tool |noweb| by Norman Ramsey.

Acknowledgement:
References to related material:

To download this research report, please select the type of document that fits best your needs.	Attachement Size(s):
	230 KBytes
Please note: If you don't have a viewer for PostScript on your platform, try to install GhostScript and GhostView

URL to this document: http://domino.mpi-inf.mpg.de/internet/reports.nsf/NumberView/1998-1-023

BibTeX
@TECHREPORT{Burnikel98-1-023, AUTHOR = {Burnikel, Christoph}, TITLE = {Rational points on circles}, TYPE = {Research Report}, INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik}, ADDRESS = {Im Stadtwald, D-66123 Saarbr{\"u}cken, Germany}, NUMBER = {MPI-I-98-1-023}, MONTH = {October}, YEAR = {1998}, ISSN = {0946-011X},}