bgeot_convex_ref.h

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/**@file bgeot_convex_ref.h
   @author  Yves Renard <[email protected]>
   @date Septembre 28, 2001.
   @brief Reference convexes
*/
#ifndef BGEOT_CONVEX_REF_H__
#define BGEOT_CONVEX_REF_H__
 
#include "bgeot_convex.h"
 
namespace bgeot {
 
  /** @defgroup refconvexes Reference Convexes*/
  /*@{*/
 
  /** Point tab storage. */
  struct stored_point_tab : virtual public dal::static_stored_object,
                            public std::vector<base_node> {
    const base_node &operator[](size_type i) const
    { return std::vector<base_node>::operator [](i); }
    template <class IT> stored_point_tab(IT it, IT ite)
      : std::vector<base_node>(it, ite)
    { DAL_STORED_OBJECT_DEBUG_CREATED(this, "Stored point tab"); }
    virtual ~stored_point_tab()
    { DAL_STORED_OBJECT_DEBUG_DESTROYED(this, "Stored point tab"); }
  };
 
  typedef std::shared_ptr<const stored_point_tab> pstored_point_tab;
 
  pstored_point_tab store_point_tab(const stored_point_tab& spt);
 
  /* store a new (read-only) array of points in stored_point_tab_tab */
  template<class CONT> pstored_point_tab store_point_tab(const CONT &TAB)
  { return store_point_tab(stored_point_tab(TAB.begin(), TAB.end())); }
 
  class mesh_structure;
 
  class convex_of_reference;
  typedef std::shared_ptr<const convex_of_reference> pconvex_ref;
 
  /** Base class for reference convexes.
 
     Examples of reference convexes are (the order
     1 triangle (0,0)-(1,0)-(0,1), the order 2 segment
     (0)-(.5)-(1.), etc...). This class stores :
 
       - a list of points (vertices of the reference convex, plus
       other points for reference convexes of degree > 1).
 
       - a normal for each face of the convex.
 
       - a mesh structure defining the smallest simplex partition of
       the convex.
 
       - a pointer to the "basic convex_ref": for a convex_ref of
       degree k, this is a pointer to the correspounding convex_ref of
       degree 1.
   */
  class convex_of_reference : virtual public dal::static_stored_object,
                              public convex<base_node> {
  protected :
    std::vector<base_small_vector> normals_;
    pstored_point_tab ppoints;
    std::shared_ptr<mesh_structure> psimplexified_convex;
    pconvex_ref basic_convex_ref_;
    const bool auto_basic;
    convex_of_reference(pconvex_structure cvs, bool auto_basic);
 
  public :
    /// return a negative or null number if the base_node is in the convex.
    virtual scalar_type is_in(const base_node &) const = 0;
    /** return a null (or almost zero) if pt is in the face of the convex.
     *  Does not control if the point is in the convex, but if a point
     *  supposed to be in a convex is in this face. return a negative number
     *  if the point is in the side of the face where the element is and
     *  positive in the other side.
     */
    virtual scalar_type is_in_face(short_type, const base_node &) const =0;
    /** will project any given point lying outside the convex onto the convex
        outer surface */
    virtual void project_into(base_node &pt) const {
     GMM_ASSERT1(!auto_basic, "This method has to be overloaded in every "
                              "basic convex");
     basic_convex_ref_->project_into(pt);
    }
    bool is_basic() const { return auto_basic; }
    /// return the normal vector for each face.
    const std::vector<base_small_vector> &normals() const
    { return normals_; }
    /// return the vertices of the reference convex.
    const stored_point_tab &points() const { return *ppoints; }
    const stored_point_tab &points() { return *ppoints; }
    pstored_point_tab pspt() const { return ppoints; }
    virtual ~convex_of_reference()
    { DAL_STORED_OBJECT_DEBUG_DESTROYED(this, "Convex of reference"); }
 
    /** return a mesh structure composed of simplexes whose union
        is the reference convex. All simplexes have the same (direct)
        orientation.
    */
    const mesh_structure* simplexified_convex() const;
    friend pconvex_ref basic_convex_ref(pconvex_ref cvr);
  };
 
  /// return the associated order 1 reference convex.
  inline pconvex_ref basic_convex_ref(pconvex_ref cvr)
  { return cvr->auto_basic ? cvr : cvr->basic_convex_ref_; }
 
  // interface with qhull
  void qhull_delaunay(const std::vector<base_node> &pts,
                      gmm::dense_matrix<size_type>& simplexes);
  
  
  //@name public functions for obtaining a convex of reference
  //@{
 
  /** returns a simplex of reference of dimension nc and degree k */
  pconvex_ref simplex_of_reference(dim_type nc, short_type k = 1);
  /** parallelepiped of reference of dimension nc (and degree 1) */
  pconvex_ref parallelepiped_of_reference(dim_type nc, dim_type k = 1);
  /** incomplete Q2 quadrilateral/hexahedral of reference of dimension
      d = 2 or 3 */
  pconvex_ref Q2_incomplete_of_reference(dim_type d);
  /** prism of reference of dimension nc (and degree 1) */
  pconvex_ref prism_of_reference(dim_type nc);
  /** incomplete quadratic prism element of reference (15-node) */
  pconvex_ref prism_incomplete_P2_of_reference();
  /** pyramidal element of reference of degree k (k = 1 or 2 only) */
  pconvex_ref pyramid_QK_of_reference(dim_type k);
  IS_DEPRECATED pconvex_ref inline
  pyramid_of_reference(dim_type k) { return pyramid_QK_of_reference(k); }
  /** incomplete quadratic pyramidal element of reference (13-node) */
  pconvex_ref pyramid_Q2_incomplete_of_reference();
  /** tensorial product of two convex ref.
      in order to ensure unicity, it is required the a->dim() >= b->dim() */
  pconvex_ref convex_ref_product(pconvex_ref a, pconvex_ref b);
  /** equilateral simplex (degree 1). used only for mesh quality estimations */
  pconvex_ref equilateral_simplex_of_reference(dim_type nc);
 
  /** generic convex with n global nodes      */
  pconvex_ref generic_dummy_convex_ref(dim_type nc, size_type n, short_type nf);
  //@}
 
  /*@}*/
}  /* end of namespace bgeot.                                             */
 
 
#endif /* BGEOT_CONVEX_REF_H__                                            */