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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
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
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