// same as bump2D.c but with "inner" boundaries

#include "saint-venant.h"

int LEVEL = 8;

int main (int argc, char * argv[])
{
  if (argc > 1)
    LEVEL = atoi (argv[1]);
  size (2.);
  origin (-L0/2., -L0/2.);
  init_grid (1 << LEVEL);
  run();
}

bid inner;

event init (i = 0)
{
  mask (fabs(x) > 0.5 || fabs(y) > 0.5 ? inner : none);
  foreach()
    h[] = 0.1 + 1.*exp(-200.*(x*x + y*y));
}

event logfile (i++) {
  stats s = statsf (h);
  fprintf (stderr, "%g %d %g %g %.8f\n", t, i, s.min, s.max, s.sum);
}

event outputfile (t <= 2.5; t += 2.5/8) {
  static int nf = 0;
  printf ("file: eta-%d\n", nf);
  output_field ({eta}, linear = true);

  scalar l[];
  foreach()
    l[] = level;
  printf ("file: level-%d\n", nf++);
  output_field ({l});
  
  /* check symmetry */
  foreach() {
    double h0 = h[];
    point = locate (-x, -y);
    //    printf ("%g %g %g %g %g\n", x, y, h0, h[], h0 - h[]);
    assert (fabs(h0 - h[]) < 1e-12);
    point = locate (-x, y);
    assert (fabs(h0 - h[]) < 1e-12);
    point = locate (x, -y);
    assert (fabs(h0 - h[]) < 1e-12);
  }
}

event adapt (i++) {
  astats s = adapt_wavelet ({h}, (double[]){1e-3}, LEVEL);
  fprintf (stderr, "# refined %d cells, coarsened %d cells\n", s.nf, s.nc);
}