//Source: https://github.com/mcximing/hungarian-algorithm-cpp/blob/master/Hungarian.h
///////////////////////////////////////////////////////////////////////////////
// Hungarian.h: Header file for Class HungarianAlgorithm.
// 
// This is a C++ wrapper with slight modification of a hungarian algorithm implementation by Markus Buehren.
// The original implementation is a few mex-functions for use in MATLAB, found here:
// http://www.mathworks.com/matlabcentral/fileexchange/6543-functions-for-the-rectangular-assignment-problem
// 
// Both this code and the orignal code are published under the BSD license.
// by Cong Ma, 2016


#ifndef HUNGARIAN_H
#define HUNGARIAN_H

class HungarianAlgorithm
{
public:
	HungarianAlgorithm();
	~HungarianAlgorithm();
	double Solve(double *&distMatrixIn, int *&assignment, int nRows, int nCols);

private:
	void assignmentoptimal(int *assignment, double *cost, double *distMatrix, int nOfRows, int nOfColumns);
	void buildassignmentvector(int *assignment, bool *starMatrix, int nOfRows, int nOfColumns);
	void computeassignmentcost(int *assignment, double *cost, double *distMatrix, int nOfRows);
	void step2a(int *assignment, double *distMatrix, bool *starMatrix, bool *newStarMatrix, bool *primeMatrix, bool *coveredColumns, bool *coveredRows, int nOfRows, int nOfColumns, int minDim);
	void step2b(int *assignment, double *distMatrix, bool *starMatrix, bool *newStarMatrix, bool *primeMatrix, bool *coveredColumns, bool *coveredRows, int nOfRows, int nOfColumns, int minDim);
	void step3(int *assignment, double *distMatrix, bool *starMatrix, bool *newStarMatrix, bool *primeMatrix, bool *coveredColumns, bool *coveredRows, int nOfRows, int nOfColumns, int minDim);
	void step4(int *assignment, double *distMatrix, bool *starMatrix, bool *newStarMatrix, bool *primeMatrix, bool *coveredColumns, bool *coveredRows, int nOfRows, int nOfColumns, int minDim, int row, int col);
	void step5(int *assignment, double *distMatrix, bool *starMatrix, bool *newStarMatrix, bool *primeMatrix, bool *coveredColumns, bool *coveredRows, int nOfRows, int nOfColumns, int minDim);
};


#endif