Quadrature_base.cpp

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#include <Quadrature_base.h>
#include <Matrix_tools.h>
#include <Array_tools.h>
 
 
double Quadrature_base::compute_integral_on_elem(int num_elem, Parser_U& parser) const
{
  DoubleTab val_pts_integ(tab_nb_pts_integ_(num_elem));
  for (int pts = 0; pts < tab_nb_pts_integ_(num_elem); pts++)
    {
      double x = integ_points_(ind_pts_integ_(num_elem) + pts, 0),
             y = integ_points_(ind_pts_integ_(num_elem) + pts, 1);
      parser.setVar("x", x);
      parser.setVar("y", y);
      val_pts_integ(pts) = parser.eval();
    }
  return compute_integral_on_elem(num_elem, val_pts_integ);
}
 
double Quadrature_base::compute_integral_on_elem(int num_elem, DoubleTab& val_pts_integ) const
{
  double volume = dom_->volumes()[num_elem];
  double acc = 0.;
  for (int pts = 0; pts < tab_nb_pts_integ_(num_elem); pts++)
    {
      acc += val_pts_integ(pts) * weights_(ind_pts_integ_(num_elem)+pts);
    }
  return acc * volume;
}
 
double Quadrature_base::compute_integral_on_facet(int num_facet, Parser_U& parser) const
{
  DoubleTab val_pts_integ(nb_pts_integ_facets_);
  for (int pts = 0; pts < nb_pts_integ_facets_; pts++)
    {
      double x = integ_points_facets_(num_facet, pts, 0),
             y = integ_points_facets_(num_facet, pts, 1);
      parser.setVar("x", x);
      parser.setVar("y", y);
      val_pts_integ(pts) = parser.eval();
    }
  return compute_integral_on_facet(num_facet, val_pts_integ);
}
 
double Quadrature_base::compute_integral_on_facet(int num_facet, DoubleTab& val_pts_integ) const
{
  double surface = dom_->face_surfaces(num_facet);
  double acc = 0.;
  for (int pts = 0; pts < nb_pts_integ_facets_; pts++)
    {
      double val_on_pt = val_pts_integ(pts);
      acc += val_on_pt * weights_facets_(pts);
    }
  return acc * surface;
}
 
double Quadrature_base::compute_integral(Parser_U& parser) const
{
  int nb_elem = dom_->nb_elem();
  double acc = 0.;
  for (int e = 0; e < nb_elem; e++)
    acc += Quadrature_base::compute_integral_on_elem(e, parser);
  Process::mp_sum(acc);
  return acc;
}
 
double Quadrature_base::compute_integral(DoubleTab& vals_pts_integ) const
{
  int nb_elem = dom_->nb_elem();
  double acc = 0.;
  double volume;
  for (int e = 0; e < nb_elem; e++)
    {
      volume = dom_->volumes(e);
      for (int pts = 0; pts < tab_nb_pts_integ_(e); pts++)
        acc += vals_pts_integ(ind_pts_integ_(e)+pts)*weights_(ind_pts_integ_(e)+pts)*volume;
    }
  Process::mp_sum(acc);
  return acc;
}
 
 
// Function to calculate the area of a triangle from the coordinates of its vertices
double Quadrature_base::triangleArea(double x1, double y1, double x2, double y2, double x3, double y3)
{
  return 0.5 * fabs(x1 * (y2 - y3) + x2 * (y3 - y1) + x3 * (y1 - y2));
}
// Function to calculate the weight scaler for tesselation
double Quadrature_base::calculateWeightScale(const IntTab& vert_elems, const DoubleTab& xs, DoubleVect& volumes, int e, int s1, int s2, int s3)
{
  return triangleArea(
           xs(vert_elems(e, s1), 0), xs(vert_elems(e, s1), 1),
           xs(vert_elems(e, s2), 0), xs(vert_elems(e, s2), 1),
           xs(vert_elems(e, s3), 0), xs(vert_elems(e, s3), 1)
         ) / volumes(e);
}
 
double Quadrature_base::calculateWeightScale(double ve, double s1x, double s1y, double s2x, double s2y, double s3x, double s3y)
{
  return triangleArea(
           s1x, s1y,
           s2x, s2y,
           s3x, s3y
         ) / ve;
}