#include <topology/weighted-rips.h>
#include <topology/filtration.h>
#include <topology/static-persistence.h>
#include <topology/dynamic-persistence.h>
#include <topology/persistence-diagram.h>
//#define RIPS_CLOSURE_CECH_SKELETON
#ifndef RIPS_CLOSURE_CECH_SKELETON
#include <geometry/weighted-l2distance.h>
#else
#include <geometry/weighted-cechdistance.h>
#endif
#include <geometry/distances.h>
#include <utilities/containers.h> // for BackInsertFunctor
#include <utilities/timer.h>
#include <vector>
#include <boost/program_options.hpp>
typedef PairwiseDistances<PointContainer, WeightedL2Distance> PairDistances;
typedef PairDistances::DistanceType DistanceType;
typedef PairDistances::IndexType Vertex;
typedef WeightedRips<PairDistances> Generator;
typedef Generator::Simplex Smplx;
typedef std::vector<Smplx> SimplexVector;
typedef Filtration<SimplexVector, unsigned> Fltr;
typedef StaticPersistence<> Persistence;
//typedef DynamicPersistenceChains<> Persistence;
typedef PersistenceDiagram<> PDgm;
void program_options(int argc, char* argv[], std::string& infilename, Dimension& skeleton, DistanceType& max_distance);
int main(int argc, char* argv[])
{
Dimension skeleton;
DistanceType max_distance;
std::string infilename;
program_options(argc, argv, infilename, skeleton, max_distance);
PointContainer points;
read_weighted_points(infilename, points);
PairDistances distances(points);
Generator rips(distances);
Generator::Evaluator size(distances);
SimplexVector complex;
// Generate skeleton of the weighted Rips complex for epsilon = 50
rips.generate(skeleton, max_distance, make_push_back_functor(complex));
for (SimplexVector::iterator it = complex.begin(); it != complex.end(); ++it)
it->data() = rips.distance(*it, *it);
std::sort(complex.begin(), complex.end(), Smplx::VertexComparison()); // unnecessary
std::cout << "Generated complex of size: " << complex.size() << std::endl;
// Generate filtration with respect to distance and compute its persistence
Fltr f(complex.begin(), complex.end(), DataDimensionComparison<Smplx>());
Timer persistence_timer; persistence_timer.start();
Persistence p(f);
p.pair_simplices();
persistence_timer.stop();
// Output cycles
for (Persistence::OrderIndex cur = p.begin(); cur != p.end(); ++cur)
{
Persistence::Cycle& cycle = cur->cycle;
if (!cur->sign()) // only negative simplices have non-empty cycles
{
Persistence::OrderIndex birth = cur->pair; // the cycle that cur killed was born when we added birth (another simplex)
const Smplx& b = f.simplex(f.begin() + (birth - p.begin())); // eventually this will be encapsulated behind an interface
const Smplx& d = f.simplex(f.begin() + (cur - p.begin()));
if (b.dimension() >= skeleton) continue;
std::cout << b.dimension() << " " << size(b) << " " << size(d) << std::endl;
} else if (cur->pair == cur) // positive could be unpaired
{
const Smplx& b = f.simplex(f.begin() + (cur - p.begin()));
if (b.dimension() >= skeleton) continue;
std::cout << b.dimension() << " " << size(b) << " inf" << std::endl;
//cycle = cur->chain;
}
}
persistence_timer.check("Persistence timer");
}
void program_options(int argc, char* argv[], std::string& infilename, Dimension& skeleton, DistanceType& max_distance)
{
namespace po = boost::program_options;
po::options_description hidden("Hidden options");
hidden.add_options()
("input-file", po::value<std::string>(&infilename), "Point set whose weighed Rips zigzag we want to compute");
po::options_description visible("Allowed options", 100);
visible.add_options()
("help,h", "produce help message")
("skeleton-dimsnion,s", po::value<Dimension>(&skeleton)->default_value(2), "Dimension of the weighted Rips complex we want to compute")
("max-distance,m", po::value<DistanceType>(&max_distance)->default_value(Infinity), "Maximum value for the weighted Rips complex construction");
po::positional_options_description pos;
pos.add("input-file", 1);
po::options_description all; all.add(visible).add(hidden);
po::variables_map vm;
po::store(po::command_line_parser(argc, argv).
options(all).positional(pos).run(), vm);
po::notify(vm);
if (vm.count("help") || !vm.count("input-file"))
{
std::cout << "Usage: " << argv[0] << " [options] input-file" << std::endl;
std::cout << visible << std::endl;
std::abort();
}
}