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README.md

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This folder contains the necessary files to test CoxIter.

General information

The file tests.txt contains data about a large set of hyperbolic Coxeter groups. CoxIter will be run for each of these graph, and the computed values will be compared to expected values.

Building

In build/ do:

tar -xf ../../graphs/testing_index2.tar.gz --directory ../../graphs/
cmake ../
make

Use

In build/ do:

./tests

The tests should complete in a few minutes. A summary is displayed and details are saved in the file tests.txt.output

The file tests.txt

Each line corresponds to one graph, with the following format:

  • The first part is the path to the .coxiter file
  • Euler characteristic: if a rational number is found, it will be assumed to be the Euler characteristic
  • Compactness: "compact" or "non-compact"
  • Cofiniteness: "non-fv" if non-cofininite (otherwise it is assumed that the group is cofinite)
  • Arithmeticity: "arithmetic" if arithmetic
  • f-vector: given between parentheses, eg "(65,131,67,1)"
  • Growth series: an example for the syntax is given by "f(x) = C(2,2,2,2,2,3,3,4,4,6,6,8,12)/(1 - x - x^2 + x^3 - 2 * x^5 + x^6 + x^7 + x^10", where the first coefficients denote Cyclotomic polynomial
  • Growth rate: an exemple is given by "tau=1.1762808182599175065440703384740350507;"