TEST = 'cardioid'
CONTROLLER = 3


sim_data = load(['tests/' TEST '/common.mat']);

sim_data.q0 = set_initial_conditions(sim_data.INITIAL_CONDITIONS);
[ref dref] = set_trajectory(sim_data.TRAJECTORY);
sim_data.ref = ref;
sim_data.dref = dref;

data = load(['tests/' TEST '/' num2str(CONTROLLER) '.mat']);
sim_data.PREDICTION_HORIZON = data.PREDICTION_HORIZON;

sim_data.U_corr_history = zeros(2,1,sim_data.PREDICTION_HORIZON);
sim_data

[t, q, ref_t, U, U_track, U_corr] = simulate_discr(sim_data);
figure('Name', [TEST ' ' num2str(CONTROLLER)] );
plot_results(t,q,ref_t,U,U_track,U_corr);


%% FUNCTION DECLARATIONS

% Discrete-time simulation
function [t, q, ref_t, U, U_track, U_corr] = simulate_discr(sim_data)
    tc = sim_data.tc;
    steps = sim_data.tfin/tc
    
    q = sim_data.q0';
    t = 0;
    [u_discr, u_track, u_corr, U_corr_history] = control_act(t, q, sim_data);
    sim_data.U_corr_history = U_corr_history;
    U = u_discr';
    U_corr = u_corr';
    U_track = u_track';
    
    for n = 1:steps
        sim_data.old_u_corr = u_corr;
        sim_data.old_u_track = u_track;
        sim_data.old_u = u_discr;

        tspan = [(n-1)*tc n*tc];
        z0 = q(end, :);
        
        %[v, z] = ode45(@sistema_discr, tspan, z0, u_discr);
        [v, z] = ode45(@(v, z) sistema_discr(v, z, u_discr), tspan, z0);

        q = [q; z];
        t = [t; v];
        
        [u_discr, u_track, u_corr, U_corr_history] = control_act(t(end), q(end, :), sim_data);
        sim_data.U_corr_history = U_corr_history;
        U = [U; ones(length(v), 1)*u_discr'];
        U_corr = [U_corr; ones(length(v), 1)*u_corr'];
        U_track = [U_track; ones(length(v), 1)*u_track'];
    end

    ref_t = double(subs(sim_data.ref, t'))';
end

%% 

% Plots
function plot_results(t, x, ref, U, U_track, U_corr)
    subplot(4,2,1)
    hold on
    title("trajectory / state")
    plot(ref(:, 1), ref(:, 2), "DisplayName", "Ref")
    plot(x(:, 1), x(:, 2), "DisplayName", "state")
    rectangle('Position', [x(1,1)-0.075, x(1,2)-0.075, 0.15, 0.15], 'Curvature', [1,1])
    xlabel('x')
    ylabel('y')
    legend()
    subplot(4,2,3)
    plot(t, U(:, 1))
    xlabel('t')
    ylabel('input v')
    subplot(4,2,4)
    plot(t, U(:, 2))
    xlabel('t')
    ylabel('input w')
    hold off

    subplot(4,2,5)
    plot(t, U_corr(:, 1))
    xlabel('t')
    ylabel('correction input v')
    subplot(4,2,6)
    plot(t, U_corr(:, 2))
    xlabel('t')
    ylabel('correction input w')
    
    
    subplot(4,2,7)
    plot(t, U_track(:, 1))
    xlabel('t')
    ylabel('tracking input v')
    subplot(4,2,8)
    plot(t, U_track(:, 2))
    xlabel('t')
    ylabel('tracking input w')
    
    ex = ref(:, 1) - x(:, 1);
    ey = ref(:, 2) - x(:, 2);
    
    subplot(8,8,5)
    hold on
    xlabel('t')
    ylabel('x')
    plot(t, ref(:, 1), "DisplayName", "X_{ref}");
    plot(t, x(:, 1), "DisplayName", "X");
    legend()
    hold off
    
    subplot(8,8,6)
    plot(t, ex);
    xlabel('t')
    ylabel('x error')
    
    subplot(8,8,13)
    hold on
    xlabel('t')
    ylabel('y')
    plot(t, ref(:, 2), "DisplayName", "Y_{ref}");
    plot(t, x(:, 2), "DisplayName", "Y");
    legend()
    hold off
    
    subplot(8,8,14)
    plot(t, ey);
    xlabel('t')
    ylabel('y error')

    subplot(4, 4, 4);
    error_norm = sqrt(ex.*ex + ey.*ey);
    plot(t, error_norm );
    xlabel("t")
    ylabel("error norm")
   
end