MPI-INF/SWS Research Reports 1991-2021
2. Number - only D1
MPI-I-98-1-023
Rational points on circles
Burnikel, Christoph
October 1998, 14 pages.
.Status: available - back from printing
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.
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- Attachement: MPI-I-98-1-023.ps (230 KBytes)
URL to this document: https://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},
}