Dear all,

I have the following snippet of code.


  const unsigned int dim = 2;
  double factor = 1./std::sqrt(dim);

  Point<dim> p1test{factor, -factor};
  Point<dim> p2test{factor, factor};
  Point<dim> p3test{-factor, -factor};

  std::vector<Point<dim> > surrounding_points;
  surrounding_points.push_back(p1test);
  surrounding_points.push_back(p2test);
  surrounding_points.push_back(p3test);

  std::vector<double> surrounding_weights(3);
  surrounding_weights[0] = 0.5;
  surrounding_weights[1] = 0.25;
  surrounding_weights[2] = 0.25;  

  auto new_vertex = spherical_manifold.get_new_point(
            ArrayView<Point<spacedim>>(&surrounding_points[0],
                                       surrounding_points.size()),
            ArrayView<double>(&surrounding_weights[0],
                              surrounding_weights.size()));

I would expect the new point to coincide with the original one, but instead 
it collapses on the second. Looking into the code of spherical manifold the 
associated angles are: 7/4 pi, 1/4 pi and 5/4 pi. From this representation 
I would expect the projected point to be at 5/4 pi. 

I really don't understand this behavior of SphericalManifold, do you have 
an explanation?

Bests,
Nicola

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