#include <iostream>
#include <fstream>
#include <math.h>
#include "stat.h"

using namespace std;
using namespace GMapping;

// struct Covariance3{
// 	double xx, yy, tt, xy, xt, yt;
// };

#define SAMPLES_NUMBER 10000

int main(int argc, char**  argv){
	Covariance3 cov={1.,0.01,0.01,0,0,0};
	EigenCovariance3 ecov(cov);
	cout << "EigenValues: " << ecov.eval[0] << " "<< ecov.eval[1] << " "  << ecov.eval[2] << endl;
	
	cout << "EigenVectors:" <<endl;
	cout<< ecov.evec[0][0] << " "<< ecov.evec[0][1] << " "  << ecov.evec[0][2] << endl;
	cout<< ecov.evec[1][0] << " "<< ecov.evec[1][1] << " "  << ecov.evec[1][2] << endl;
	cout<< ecov.evec[2][0] << " "<< ecov.evec[2][1] << " "  << ecov.evec[2][2] << endl;
	
	EigenCovariance3 rcov(ecov.rotate(M_PI/4));
	cout << "*************** Rotated ***************" << endl;
	cout << "EigenValues: " << rcov.eval[0] << " "<< rcov.eval[1] << " "  << rcov.eval[2] << endl;
	
	cout << "EigenVectors:" <<endl;
	cout<< rcov.evec[0][0] << " "<< rcov.evec[0][1] << " "  << rcov.evec[0][2] << endl;
	cout<< rcov.evec[1][0] << " "<< rcov.evec[1][1] << " "  << rcov.evec[1][2] << endl;
	cout<< rcov.evec[2][0] << " "<< rcov.evec[2][1] << " "  << rcov.evec[2][2] << endl;
	
	cout << "sampling:" << endl;
	ofstream fs("stat_test.dat");
	std::vector<OrientedPoint> points;
	for (unsigned int i=0; i<SAMPLES_NUMBER; i++){
		OrientedPoint op=rcov.sample();
		points.push_back(op);
		fs << op.x << " " <<  op.y << " " << op.theta << endl;
	}
	fs.close();
	std::vector<OrientedPoint>::iterator b = points.begin();
	std::vector<OrientedPoint>::iterator e = points.end();
	Gaussian3 gaussian=computeGaussianFromSamples(b, e);
	cov=gaussian.cov;
	ecov=gaussian.covariance;
	cout << "*************** Estimated with Templates ***************" << endl;
	cout << "EigenValues: " << ecov.eval[0] << " "<< ecov.eval[1] << " "  << ecov.eval[2] << endl;
	cout << "EigenVectors:" <<endl;
	cout<< ecov.evec[0][0] << " "<< ecov.evec[0][1] << " "  << ecov.evec[0][2] << endl;
	cout<< ecov.evec[1][0] << " "<< ecov.evec[1][1] << " "  << ecov.evec[1][2] << endl;
	cout<< ecov.evec[2][0] << " "<< ecov.evec[2][1] << " "  << ecov.evec[2][2] << endl;
	gaussian.computeFromSamples(points);
	ecov=gaussian.covariance;
	cout << "*************** Estimated without Templates ***************" << endl;
	cout << "EigenValues: " << ecov.eval[0] << " "<< ecov.eval[1] << " "  << ecov.eval[2] << endl;
	cout << "EigenVectors:" <<endl;
	cout<< ecov.evec[0][0] << " "<< ecov.evec[0][1] << " "  << ecov.evec[0][2] << endl;
	cout<< ecov.evec[1][0] << " "<< ecov.evec[1][1] << " "  << ecov.evec[1][2] << endl;
	cout<< ecov.evec[2][0] << " "<< ecov.evec[2][1] << " "  << ecov.evec[2][2] << endl;
	
	
	
}