void Initialize_PGRL_PIFA(void);


void PGRL_PIFA(int steps,
			   double **s, double **g, 
			   double **cen, double **var,
			   int *mode, double alpha, double gamma,
			   double *r);


void Update_Function_Coefficients(int nums, double **Q_a);

void Solve_System(double **A, double *b, double *w, 
				  double *S2, double *c, int rows);

void Update_Policy_Parameters_Using_FA(double **cen, double **var);