To build the example, run in a Terminal: cd /path-to-example/ cmake . make Example of use : Computation of the persistent homology with Z/2Z coefficients of the Rips complex on points sampling a Klein bottle: ./rips_persistence ../../../data/points/Kl.txt -r 0.25 -d 3 -p 2 -m 100 output: 210 0 0 inf 210 1 0.0702103 inf 2 1 0.0702103 inf 2 2 0.159992 inf Every line is of this format: p1*...*pr dim b d where p1*...*pr is the product of prime numbers pi such that the homology feature exists in homology with Z/piZ coefficients. dim is the dimension of the homological feature, b and d are respectively the birth and death of the feature and with Z/3Z coefficients: ./rips_persistence ../../../data/points/Kl.txt -r 0.25 -d 3 -p 3 -m 100 output: 3 0 0 inf 3 1 0.0702103 inf and the computation with Z/2Z and Z/3Z coefficients simultaneously: ./rips_multifield_persistence ../../../data/points/Kl.txt -r 0.25 -d 3 -p 2 -q 3 -m 100 output: 6 0 0 inf 6 1 0.0702103 inf 2 1 0.0702103 inf 2 2 0.159992 inf and finally the computation with all Z/pZ for 2 <= p <= 71 (20 first prime numbers): ./rips_multifield_persistence ../../../data/points/Kl.txt -r 0.25 -d 3 -p 2 -q 71 -m 100 output: 557940830126698960967415390 0 0 inf 557940830126698960967415390 1 0.0702103 inf 2 1 0.0702103 inf 2 2 0.159992 inf