Moved lsfiltration.py into examples/pl-functions + added lscubes.py example (cubical lower-star filtration)
#ifndef __L2_DISTANCE_H__
#define __L2_DISTANCE_H__
#include <utilities/types.h>
#include <vector>
#include <fstream>
#include <functional>
#include <cmath>
#include <string>
#include <sstream>
typedef std::vector<double> Point;
typedef std::vector<Point> PointContainer;
struct WeightedL2Distance:
public std::binary_function<const Point&, const Point&, double>
{
result_type operator()(const Point& p1, const Point& p2) const
{
AssertMsg(p1.size() == p2.size(), "Points must be in the same dimension (in L2Distance): dim1=%d, dim2=%d", p1.size()-1, p2.size()-1);
/* the distance of a point to itself is the radius at which the "power distance" ball around it appears:
d(p,p) := sqrt(-w_p) */
if (p1 == p2)
return sqrt(-p1[p1.size()-1]);
/* otherwise, the distance is the radius at which the power balls around p, q intersect:
d(p,q) := sqrt( ||p-q||^2 - w_p - w_q ) */
result_type sq_l2dist = 0;
for (size_t i = 0; i < p1.size()-1; ++i)
sq_l2dist += (p1[i] - p2[i])*(p1[i] - p2[i]);
return sqrt(sq_l2dist - p1[p1.size()-1] - p2[p2.size()-1]);
}
};
void read_weighted_points(const std::string& infilename, PointContainer& points)
{
std::ifstream in(infilename.c_str());
std::string line;
while(std::getline(in, line))
{
if (line[0] == '#') continue; // comment line in the file
std::stringstream linestream(line);
double x;
points.push_back(Point());
while (linestream >> x)
points.back().push_back(x);
}
}
#endif // __L2_DISTANCE_H__