/** @file WaveSimulation.hpp
 *
 *  @author Cory Alexander Balaton (coryab)
 *  @author Janita Ovidie Sandtrøen Willumsen (janitaws)
 *
 *  @version 0.1
 *
 *  @brief The definition of the WaveSimulation class
 *
 *  @bug No known bugs
 * */
#ifndef __WAVE_SIMULATION__
#define __WAVE_SIMULATION__

#include "constants.hpp"
#include "literals.hpp"

#include <armadillo>
#include <cstdint>

class WaveSimulation {
protected:
    uint32_t M;
    int32_t N;
    arma::cx_mat V;
    arma::cx_mat U;
    arma::sp_cx_mat B;
    arma::sp_cx_mat A;
    double h;
    double dt;
    double T;

    /*  @brief Initialize the U matrix using an unormalized Gaussian wave
     * packet.
     *
     *  @param x_c The center of the packet in the x direction.
     *  @param y_c The center of the packet in the y direction.
     *  @param sigma_x The The initial width in the x direction.
     *  @param sigma_y The The initial width in the y direction.
     *  @param p_x The wave packet momentum in the x direction.
     *  @param p_y The wave packet momentum in the y direction.
     * **/
    void initialize_U(double x_c, double y_c, double sigma_x, double sigma_y,
                      double p_x, double p_y);

    /*  @brief Initialize the V matrix.
     *
     *  @param thickness The thickness of the wall in the x direction.
     *  @param pos_x The center of the wall in the x direction.
     *  @param ap_sep The separation between each aperture.
     *  @param ap The aperture width.
     *  @param slits The number of slits.
     * **/
    void initialize_V(double thickness, double pos_x,
                      double aperture_separation, double aperture,
                      uint32_t slits);

    /*  @brief Initialize the V matrix with no wall.
     * **/
    void initialize_V();

    /*  @brief Initialize the A matrix according to the Crank-Nicolson method
     * **/
    void initialize_A();

    /*  @brief Initialize the B matrix according to the Crank-Nicolson method
     * **/
    void initialize_B();

public:
    /*  @brief Constructor for the WaveSimulation class.
     *
     *  @param h The step size in the x and y direction.
     *  @param dt The step size in the temporal dimension.
     *  @param T The total time to simulate.
     *  @param x_c The center of the packet in the x direction.
     *  @param y_c The center of the packet in the y direction.
     *  @param sigma_x The The initial width in the x direction.
     *  @param sigma_y The The initial width in the y direction.
     *  @param p_x The wave packet momentum in the x direction.
     *  @param p_y The wave packet momentum in the y direction.
     *  @param thickness The thickness of the wall in the x direction.
     *  @param pos_x The center of the wall in the x direction.
     *  @param ap_sep The separation between each aperture.
     *  @param ap The aperture width.
     *  @param slits The number of slits.
     * **/
    WaveSimulation(double h, double dt, double T, double x_c, double y_c,
                   double sigma_x, double sigma_y, double p_x, double p_y,
                   double thickness, double pos_x, double ap_sep, double ap,
                   uint32_t slits);

    /*  @brief Constructor for the WaveSimulation class with no wall.
     *
     *  @param h The step size in the x and y direction.
     *  @param dt The step size in the temporal dimension.
     *  @param T The total time to simulate.
     *  @param x_c The center of the packet in the x direction.
     *  @param y_c The center of the packet in the y direction.
     *  @param sigma_x The The initial width in the x direction.
     *  @param sigma_y The The initial width in the y direction.
     *  @param p_x The wave packet momentum in the x direction.
     *  @param p_y The wave packet momentum in the y direction.
     * **/
    WaveSimulation(double h, double dt, double T, double x_c, double y_c,
                   double sigma_x, double sigma_y, double p_x, double p_y);

    void step();
    void solve(std::string outfile, bool write_each_step = false);
    void solve(std::string outfile, std::vector<double> &steps);
    void probability_deviation(std::string outfile,
                               bool write_each_step = false);
    void write_U(std::ofstream &ofile);
};

#endif