Updated Rips zigzags
* Updated to use Bron-Kerbosch
* Compute in the order of increasing epsilon, and decreasing point sizes
* Split into plain zigzag (rips-zigzag) and image zigzag (rips-image-zigzag)
* Added minor enhancements (show_progress and timers)
#include <vector>
#include <cassert>
#include <iostream>
#include <topology/simplex.h>
#include <topology/zigzag-persistence.h>
#include <boost/tuple/tuple.hpp>
typedef ZigzagPersistence<unsigned> Zigzag;
typedef Zigzag::SimplexIndex Index;
typedef Zigzag::Death Death;
typedef Zigzag::ZColumn Boundary;
typedef std::vector<Index> Complex;
int main(int argc, char** argv)
{
#ifdef LOGGING
rlog::RLogInit(argc, argv);
//stdoutLog.subscribeTo(RLOG_CHANNEL("topology/persistence"));
#endif
Zigzag zz;
Complex c;
Index i; Death d;
unsigned birth = 0;
// Adding the triangle
std::cout << birth << ": adding 0" << std::endl;
boost::tie(i, d) = zz.add(Boundary(), birth++); // A
c.push_back(i);
assert(!d); // birth
std::cout << birth << ": adding 1" << std::endl;
boost::tie(i, d) = zz.add(Boundary(), birth++); // B
c.push_back(i);
assert(!d); // birth
std::cout << birth << ": adding 2" << std::endl;
boost::tie(i, d) = zz.add(Boundary(), birth++); // C
c.push_back(i);
assert(!d); // birth
std::cout << birth << ": adding 3" << std::endl;
boost::tie(i, d) = zz.add(Boundary(c.begin(),
boost::next(c.begin(),2)),
birth++); // AB
c.push_back(i);
assert(d); // death
if (d) std::cout << "Death of: " << *d << std::endl;
std::cout << birth << ": adding 4" << std::endl;
boost::tie(i, d) = zz.add(Boundary(boost::next(c.begin()),
boost::next(c.begin(),3)),
birth++); // BC
c.push_back(i);
assert(d); // death
if (d) std::cout << "Death of: " << *d << std::endl;
std::cout << birth << ": adding 5" << std::endl;
{
Boundary bdry; bdry.append(*c.begin(), zz.cmp); bdry.append(*boost::next(c.begin(), 2), zz.cmp);
boost::tie(i, d) = zz.add(bdry, birth++); // AC
}
c.push_back(i);
assert(!d); // birth
std::cout << birth << ": adding 6" << std::endl;
boost::tie(i, d) = zz.add(Boundary(boost::next(c.begin(), 3),
boost::next(c.begin(), 6)),
birth++); // ABC
c.push_back(i);
assert(d); // death
if (d) std::cout << "Death of: " << *d << std::endl;
//zz.show_all();
// Removing the triangle in reverse order
for (Complex::reverse_iterator cur = c.rbegin(); cur != c.rend(); ++cur)
{
std::cout << birth << ": removing " << (*cur)->order << std::endl;
d = zz.remove(*cur, birth++);
if (d) std::cout << "Death of: " << *d << std::endl;
//zz.show_all();
}
}