#include <math.h>
#include <stdio.h>
#include <string.h>
#include <math.h>
#include "../common/progress.h"
{
    float mx = max * 0.5;
    float mn = -max * 0.5;
    return (a-mn)/(mx-mn);
}
static void swe(bool console)
{
    double time_total = 20; 
    
    const unsigned Lx = 512, nx = Lx + 1;
    const unsigned Ly = 512, ny = Ly + 1;
    const float dx = Lx / (nx - 1);
    const float dy = Ly / (ny - 1);
    array um = ZERO, vm = ZERO;
 
    unsigned io = (unsigned)
floor(Lx  / 5.0f),
 
             jo = (unsigned)
floor(Ly / 5.0f),
             k = 20;
    
    array etam = 0.01f * 
exp((-((x - io) * (x - io) + (y - jo) * (y - jo))) / (k * k));
 
    float m_eta = max<float>(etam);
    float dt = 0.5;
    
    float h_diff_kernel[] = {9.81f * (dt / dx), 0, -9.81f * (dt / dx)};
    float h_lap_kernel[] = {0, 1, 0, 1, -4, 1, 0, 1, 0};
    array h_diff_kernel_arr(3, h_diff_kernel);
 
    array h_lap_kernel_arr(3, 3, h_lap_kernel);
 
    if(!console) {
        win = 
new Window(512, 512,
"Shallow Water Equations");
    }
    unsigned iter = 0;
    while (progress(iter, t, time_total)) {
        
        array etap = 2 * eta - etam + (2 * dt * dt) / (dx * dy) * e;
 
        etam = eta;
        eta = etap;
        if (!console) {
            win->
image(normalize(eta, m_eta));
            
        } 
else eval(eta, up, vp);
        iter++;
    }
}
int main(int argc, char* argv[])
{
    int device = argc > 1 ? atoi(argv[1]) : 0;
    bool console = argc > 2 ? argv[2][0] == '-' : false;
    try {
        printf("Simulation of shallow water equations\n");
        swe(console);
        fprintf(stderr, 
"%s\n", e.
what());
        throw;
    }
    return 0;
}