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Diffstat (limited to 'src/Persistent_cohomology/example/README')
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diff --git a/src/Persistent_cohomology/example/README b/src/Persistent_cohomology/example/README new file mode 100644 index 00000000..f39d9584 --- /dev/null +++ b/src/Persistent_cohomology/example/README @@ -0,0 +1,67 @@ +To build the examples, run in a Terminal: + +cd /path-to-examples/ +cmake . +make + +*********************************************************************************************************************** +Example of use of RIPS: + +Computation of the persistent homology with Z/2Z and Z/3Z coefficients simultaneously of the Rips complex +on points sampling a 3D torus: + +./rips_multifield_persistence ../../data/points/tore3D_1307.off -r 0.25 -m 0.12 -d 3 -p 2 -q 3 + +output: +6 0 0 inf +6 1 0.0983494 inf +6 1 0.104347 inf +6 2 0.138335 inf +6 0 0 0.122545 +6 0 0 0.121171 +6 0 0 0.120964 +6 0 0 0.12057 +6 0 0 0.12047 +6 0 0 0.120414 + +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 + +and the computation with all Z/pZ for 2 <= p <= 71 (20 first prime numbers): + + ./rips_multifield_persistence ../../data/points/Kl.off -r 0.25 -m 0.5 -d 3 -p 2 -q 71 + +output: +557940830126698960967415390 0 0 inf +557940830126698960967415390 1 0.0983494 inf +557940830126698960967415390 1 0.104347 inf +557940830126698960967415390 2 0.138335 inf +557940830126698960967415390 0 0 0.122545 +557940830126698960967415390 0 0 0.121171 +557940830126698960967415390 0 0 0.120964 +557940830126698960967415390 0 0 0.12057 +557940830126698960967415390 0 0 0.12047 +557940830126698960967415390 0 0 0.120414 + +*********************************************************************************************************************** +Example of use of PLAIN HOMOLOGY: + +This example computes the plain homology of the following simplicial complex without filtration values: + /* Complex to build. */ + /* 1 3 */ + /* o---o */ + /* /X\ / */ + /* o---o o */ + /* 2 0 4 */ + +./plain_homology + +output: +2 0 0 inf +2 0 0 inf +2 1 0 inf + +Here we retrieve the 2 entities {0,1,2,3} and {4} (Betti numbers[0] = 2) and the hole in {0,1,3} (Betti numbers[1] = 1) |