bgeot_poly_composite.h

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/* -*- c++ -*- (enables emacs c++ mode) */
/*===========================================================================
 
 Copyright (C) 2002-2020 Yves Renard
 
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/**@file bgeot_poly_composite.h
   @author  Yves Renard <Yves.Renard@insa-lyon.fr>
   @date August 26, 2002.
   @brief Handle composite polynomials.
 
   Composite polynomials are used in hierarchical FEM, composite geometric
   transformations and composite fems.
*/
 
#ifndef BGEOT_POLY_COMPOSITE_H__
#define BGEOT_POLY_COMPOSITE_H__
 
#include "bgeot_poly.h"
#include "bgeot_mesh.h"
#include "bgeot_rtree.h"
 
// TODO : Use of rtree instead of dal::dynamic_tree_sorted<base_node,
//        imbricated_box_less>
 
 
namespace bgeot {
 
  /// A comparison function for bgeot::base_node
  struct imbricated_box_less
  {
    mutable int exp_max, exp_min;
    mutable scalar_type c_max;
    unsigned base;
 
    /// comparaison function
    int operator()(const base_node &x, const base_node &y) const;
 
    imbricated_box_less(unsigned ba = 10, int emi = -15, int ema = -2) {
      base = ba; exp_max = ema; exp_min = emi;
      c_max = pow(double(base), double(-exp_max));
    }
  };
 
 
 
  struct mesh_precomposite {
 
    typedef dal::dynamic_tree_sorted<base_node, imbricated_box_less> PTAB;
 
    const basic_mesh *msh;
    PTAB vertices;
    rtree box_tree;
    std::map<size_type, std::vector<size_type>> box_to_convexes_map;
    std::vector<base_matrix> gtrans, gtransinv;
    std::vector<scalar_type> det;
    std::vector<base_node> orgs;
    
    const basic_mesh &linked_mesh(void) const { return *msh; }
    size_type nb_convex(void) const { return gtrans.size(); }
    dim_type dim(void) const { return msh->dim(); }
    pgeometric_trans trans_of_convex(size_type ic) const
    { return msh->trans_of_convex(ic); }
    void initialise(const basic_mesh &m);
    
    mesh_precomposite(const basic_mesh &m);
    mesh_precomposite(void) : msh(0), box_tree(1e-13) {}
  };
 
  typedef const mesh_precomposite *pmesh_precomposite;
 
  struct stored_base_poly : base_poly, public dal::static_stored_object {
    stored_base_poly(const base_poly &p) : base_poly(p) {}
  };
  typedef std::shared_ptr<const stored_base_poly> pstored_base_poly;
 
  
  class polynomial_composite {
 
  protected :
    const mesh_precomposite *mp;
    std::map<size_type, pstored_base_poly> polytab;
    bool local_coordinate;  // Local coordinates on each sub-element for
                            // polynomials or global coordinates ?
    bool faces_first; // If true try to evaluate on faces before on the
                      // interior, usefull for HHO elements.
    std::vector<base_poly> default_polys;
 
  public :
    scalar_type eval(const base_node &p, size_type l) const;
 
    template <class ITER> scalar_type eval(const ITER &it,
                                           size_type l = -1) const;
    void derivative(short_type k);
    void set_poly_of_subelt(size_type l, const base_poly &poly);
    const base_poly &poly_of_subelt(size_type l) const;
    size_type nb_subelt() const { return polytab.size(); }
 
    polynomial_composite(bool lc = true, bool ff = false)
      : local_coordinate(lc), faces_first(ff) {}
    polynomial_composite(const mesh_precomposite &m, bool lc = true,
                         bool ff = false);
 
  };
 
  inline std::ostream &operator <<
  (std::ostream &o, const polynomial_composite& P) {
    o << "poly_composite [";
    for (size_type i = 0; i < P.nb_subelt(); ++i) {
      if (i != 0) o << ", " << P.poly_of_subelt(i);
    }
    o << "]";
    return o;
  }
 
  template <class ITER>
  scalar_type polynomial_composite::eval(const ITER &it, size_type l) const {
    base_node p(mp->dim());
    std::copy(it, it+mp->dim(), p.begin());
    return eval(p,l);
  }
 
  void structured_mesh_for_convex(pconvex_ref cvr, short_type k,
                                  pbasic_mesh &pm, pmesh_precomposite &pmp,
                                  bool force_simplexification=false);
 
  /** simplexify a convex_ref.
      @param cvr the convex_ref.
      @param k the refinement level.
      @return a pointer to a statically allocated mesh. Do no free it!
  */
  const basic_mesh *
  refined_simplex_mesh_for_convex(pconvex_ref cvr, short_type k);
 
  /** simplexify the faces of a convex_ref
 
      @param cvr the convex_ref.
 
      @param k the refinement level.
 
      @return vector of pointers to a statically allocated
      mesh_structure objects. Do no free them! The point numbers in
      the mesh_structure refer to the points of the mesh given by
      refined_simplex_mesh_for_convex.
  */      
  const std::vector<std::unique_ptr<mesh_structure>>&
  refined_simplex_mesh_for_convex_faces(pconvex_ref cvr, short_type k);
}  /* end of namespace bgeot.                                            */
 
 
#endif