NAME¶

reference_element - reference element (rheolef-7.1)

DESCRIPTION¶

The reference_element class defines all supported types of geometrical elements in zero, one, two and three dimensions. Each supported element is represented by a letter:

• p: point(6) (dimension 0)
• e: edge(6) (dimension 1)
• t: triangle(6) (dimension 2)
• q: quadrangle(6) (dimension 2)
• T: tetrahedron(6) (dimension 3)
• P: prism(6) (dimension 3)
• H: hexahedron(6) (dimension 3)

IMPLEMENTATION¶

This documentation has been generated from file fem/geo_element/reference_element.h

class reference_element {
public:
// typedefs:


    typedef std::vector<int>::size_type size_type;


    typedef size_type                   variant_type; 


    static const variant_type


        p = 0, 


        e = 1, 


        t = 2, 


        q = 3, 


        T = 4, 


        P = 5, 


        H = 6, 


        max_variant = 7;


    static const size_type max_side_by_variant = 6;
// allocators/deallocators:


    reference_element (variant_type x = max_variant)


      : _x(x) { assert_macro (x >= 0 && x <= max_variant, "invalid type " << x); }
// initializers:


    void set_variant (variant_type x) { _x = x; }


    void set_variant (size_type n_vertex, size_type dim) { _x = variant (n_vertex, dim); }


    void set_name    (char name);
// accessors:


    variant_type variant() const { return _x; }


    char name() const { return _name[_x % max_variant]; }


    size_type dimension() const { return _dimension[_x]; }


    size_type size()     const { return _n_vertex[_x]; }


    size_type n_vertex() const { return _n_vertex[_x]; }


    size_type n_side() const { return dimension() > 0 ? n_subgeo (variant(), dimension()-1) : 0; }


    size_type n_edge() const { return n_subgeo(1); }


    size_type n_face() const { return n_subgeo(2); }


    size_type n_subgeo_by_variant (size_type subgeo_variant) const {


        return n_subgeo_by_variant(variant(), subgeo_variant); }


    size_type n_subgeo(size_type subgeo_dim) const { return n_subgeo (variant(), subgeo_dim); }


    reference_element subgeo (size_type subgeo_dim, size_type loc_isid) const { 


        if (dimension() == 0) return reference_element(reference_element::p);


        if (dimension() == subgeo_dim) return *this;


        reference_element hat_S;


        size_type subgeo_n_vertex = subgeo_size (subgeo_dim, loc_isid);


        hat_S.set_variant (subgeo_n_vertex, subgeo_dim);


        return hat_S;


    }


    reference_element side (size_type loc_isid) const { return subgeo (dimension()-1, loc_isid); }


    size_type subgeo_size (size_type subgeo_dim, size_type loc_isid) const { 


        return subgeo_n_node (_x, 1, subgeo_dim, loc_isid); }


    size_type subgeo_local_vertex(size_type subgeo_dim, size_type loc_isid, size_type loc_jsidvert) const {


        return subgeo_local_node (_x, 1, subgeo_dim, loc_isid, loc_jsidvert); }


    size_type local_subgeo_index2index_by_variant (size_type subgeo_variant, size_type i) const {


      return (variant() == P && subgeo_variant == q) ? i-2 : i; }


    // TODO: use template<class T> instead of Float


    const point_basic<Float>& vertex (size_type iloc) const;


    friend Float measure (reference_element hat_K);


    Float side_measure (size_type loc_isid) const;


    void side_normal (size_type loc_isid, point_basic<Float>& hat_n) const;
// helpers:


    static variant_type variant  (char name);


    static variant_type variant  (size_type n_vertex, size_type dim);


    static char         name     (variant_type variant) { return _name     [variant]; }


    static size_type dimension   (variant_type variant) { return _dimension[variant]; }


    static size_type n_vertex    (variant_type variant) { return _n_vertex [variant]; }


    static size_type n_node      (variant_type variant, size_type order);


    static size_type n_sub_edge    (variant_type variant);


    static size_type n_sub_face    (variant_type variant);


    static size_type n_subgeo      (variant_type variant, size_type subgeo_dim);


    static size_type subgeo_n_node (variant_type variant, size_type order, size_type subgeo_dim, size_type loc_isid);


    static size_type subgeo_local_node (variant_type variant, size_type order, size_type subgeo_dim, size_type loc_isid, size_type loc_jsidnod);


    static variant_type first_variant_by_dimension (size_type dim) {


                return _first_variant_by_dimension[dim]; }


    static variant_type  last_variant_by_dimension (size_type dim) {


                return _first_variant_by_dimension[dim+1]; }


    static size_type first_inod_by_variant (variant_type variant, size_type order, variant_type subgeo_variant);


    static size_type  last_inod_by_variant (variant_type variant, size_type order, variant_type subgeo_variant)


       { return first_inod_by_variant (variant, order, subgeo_variant+1); }


    static size_type first_inod (variant_type variant, size_type order, size_type subgeo_dim)


       { return first_inod_by_variant (variant, order, first_variant_by_dimension(subgeo_dim)); }


    static size_type  last_inod (variant_type variant, size_type order, size_type subgeo_dim)


       { return first_inod_by_variant (variant, order,  last_variant_by_dimension(subgeo_dim)); }


    static void init_local_nnode_by_variant (size_type order, std::array<size_type,reference_element::max_variant>& loc_nnod_by_variant);


    static size_type n_subgeo_by_variant (size_type variant, size_type subgeo_variant)


      { return _n_subgeo_by_variant [variant] [subgeo_variant]; } 

};

AUTHOR¶

Pierre Saramito <Pierre.Saramito@imag.fr>

COPYRIGHT¶

Copyright (C) 2000-2018 Pierre Saramito <Pierre.Saramito@imag.fr> GPLv3+: GNU GPL version 3 or later <http://gnu.org/licenses/gpl.html>. This is free software: you are free to change and redistribute it. There is NO WARRANTY, to the extent permitted by law.