Algorithms for Galois Words: Detection, Factorization, and Rotation

This repository provides the following programs:

• galois_factorization.x: computes the Galois factorization of the input
• is_galois.x: checks whether the input is a Galois word (output is '1' for Galois, and '0' otherwise)
• galois_rotation.x: computes the Galois rotation of a primitive input

The input is read from standard input (stdin).

Example Usage:

echo -n 'aba' | ./is_galois.x
echo -n 'baa' | ./is_galois.x
echo -n 'baa' | ./galois_rotation.x
echo -n 'baa' | ./galois_factorization.x

Per default, all programs check their output. Compile with flag NDEBUG to omit these checks.