src/test/sphere.c

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    /* similar to circle.c but in 3D (see also poisson3D.c) */
    
    #include "grid/octree.h"
    #include "utils.h"
    #include "poisson.h"
    
    double solution (double x, double y, double z)
    {
      return sin(3.*pi*x)*sin(3.*pi*y)*sin(3.*pi*z);
    }
    
    int main()
    {
      size (1.[0]);
      origin (-0.5, -0.5, -0.5);
    
      int depth = 6;
      init_grid(1);
    
      refine (level < depth - 2 || level <= depth*(1. - sqrt(x*x + y*y + z*z)));
    
      scalar a[], b[];
    
      foreach_dimension() {
        a[right] = dirichlet (solution(x, y, z));
        a[left]  = dirichlet (solution(x, y, z));
      }
    
      foreach() {
        a[] = 0.;
        b[] = -27.*pi*pi*sin(3.*pi*x)*sin(3.*pi*y)*sin(3.*pi*z);
      }
    
      poisson (a, b);
    
      double max = 0;
      foreach(reduction(max:max)) {
        double e = a[] - solution(x, y, z);
        if (fabs(e) > max) max = fabs(e);
        printf ("%g %g %g %g %g %g\n", x, y, z, a[], b[], e);
      }
      fprintf (stderr, "max error %g\n", max);
    }