Update board.hpp, forces.hpp, forces.cpp, main.cpp, pedestrian.hpp: correct some bugs in implementation

forces.hpp

@@ -3,46 +3,33 @@
 #include "pedestrian.hpp"
 #include <cmath>
 
-// $\tau_{\alpha}$
-// https://arxiv.org/pdf/cond-mat/9805244, page 8
 const double tau_alpha = 0.5;
 
-// $V^0_{\alpha \beta}$
-// https://arxiv.org/pdf/cond-mat/9805244, page 8
 const double V0_AB = 2.1;
 
-// $\sigma$
-// https://arxiv.org/pdf/cond-mat/9805244, page 8
 const double SIGMA = 0.3;
 
-// $U^0_{\alpha B}$
-// https://arxiv.org/pdf/cond-mat/9805244, page 8
 const double U0_AB = 10.0;
 
-// $R$
-// https://arxiv.org/pdf/cond-mat/9805244, page 8
 const double R = 0.2;
 
-// $c$
-// https://arxiv.org/pdf/cond-mat/9805244, page 8
 const double c = 0.5;
 
-// $\varphi$
-// https://arxiv.org/pdf/cond-mat/9805244, page 8
-const double phi = 100.0;
+const double phi = 100.0 / 180.0 * M_PI;
 
 const double cos_phi = cos(phi);
 
-// $\varDelta_{t}$
-// step size = 0.2 seconds
-// https://arxiv.org/pdf/cond-mat/9805244, page 8
 const double delta_t = 2;
 
+const double dt = 0.01;
+
 // # Optional (forces.cpp: compute_repulsive_effects_from_pedestrians)
 // const double DISTANCE = 2.0;
 
 double w(Vector2d e, Vector2d f);
 
+double g(double v_max_alpha, double w_alpha_norm);
+
 void compute_acceleration_term(Pedestrian *p);
 
 void compute_repulsive_effects_from_pedestrians(Pedestrian *P, Pedestrian *p, int N);