triangulations/scripts

Scripts to filter out unique minimal triangulaitons

These scripts dig through directories to find triangulations, take the minimal ones, remove duplicates, and then export them, sorted by PL-type.

Prerequisites

• Polymake
• PostgreSQL
• GNU Parallel

How to use:

Create the database tables

CREATE TABLE triangulations (signature varchar, f_vector varchar, vertices integer, path varchar);
CREATE TABLE minimal_triangulations (signature varchar, f_vector varchar, vertices integer, path varchar);

Populate the triangulations table

find ~ -name *.poly -not -path "*comb_iso_classes*" -not -path "*flat*" | parallel --progress ./triangulation_bookkeeping.pl {}

Populate the minimal triangulations (by vertices) table by finding the minimum triangulation for each signature

INSERT INTO minimal_triangulations SELECT DISTINCT ON (signature) * FROM triangulations ORDER BY signature, vertices;

Remove combinatorially isomorphic triangulations by running triangulation_bookkeeping_minimal.pl, and output sorted by type using triangulation_bookkeeping_output.pl

Spheres

Additionally, sort spheres for which a spherical discrete morse vector was found with

for k in $(psql -d researchdata_test -c "SELECT signature FROM complexes WHERE remark = 'discrete_morse';" | grep '^ g' | sed 's/ //g' ) ; 
do 
	p=$(find . -name *$k*); 
	npt=../S^4-discretemorse/$p; 
	mkdir -p $(dirname $npt); 
	mv $p $npt; 
done