MPI-INF/SWS Research Reports 1991-2021

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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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  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},