NAME

       test - test-function in variational formulation (rheolef-7.2)

DESCRIPTION

       This class, and its associated trial one, is used for test and trial functions involved in
       variational formulations. Variational formulations are specified by expressions of the C++
       language.

       A test function is the formal argument involved in the expression for the integrate(3)
       function:

           geo omega ("circle");
           space Xh (omega, "P1");
           test v (Xh);
           field lh = integrate (omega, 2*v);

        For a bilinear form(2), the test function represents its second formal argument, while
       its first one is referred to as the trial one:

           trial u (Xh);
           test  v (Xh);
           form a = integrate (omega, dot(grad(u),grad(v)));

IMPLEMENTATION

       This documentation has been generated from file main/lib/test.h

       The test and trial classes are simply aliases to the test_basic class:

       typedef test_basic<Float,rheo_default_memory_model,details::vf_tag_01> test;
       typedef test_basic<Float,rheo_default_memory_model,details::vf_tag_10> trial;

       The test_basic class provides an interface, via the smart_pointer(7) class family, to a
       data container:

       template <class T, class M, class VfTag>
       class test_basic : public smart_pointer<test_rep<T,M> > {
       public :
       // typedefs:

           using rep  = test_rep<T,M>;
           using base = smart_pointer<rep>;
           using size_type      = typename rep::size_type;
           using memory_type    = typename rep::memory_type;
           using value_type     = typename rep::value_type;
           using scalar_type    = typename rep::scalar_type;
           using float_type     = typename rep::float_type;
           using geo_type       = typename rep::geo_type;
           using space_type     = typename rep::space_type;
           using diff_type      = typename rep::diff_type;
           using is_elementwise = typename rep::is_elementwise;
           using vf_tag_type      = VfTag;
           using vf_dual_tag_type = typename details::dual_vf_tag<VfTag>::type;
           using self_type        = test_basic<T,M,VfTag>;
           using dual_self_type   = test_basic<T,M,vf_dual_tag_type>;

       // allocator/deallocator:

           explicit test_basic (const space_type& V) : base(new_macro(rep(V))) {}

       // accessors:

           const space_type&  get_vf_space()  const { return base::data().get_vf_space(); }
           static const space_constant::valued_type valued_hint = rep::valued_hint;
           space_constant::valued_type valued_tag() const { return base::data().valued_tag(); }
           size_type n_derivative() const { return base::data().n_derivative(); }

           size_type size() const { return get_vf_space().size(); }
           details::test_component<T,M,VfTag> operator[] (size_type i_comp) const;

       };

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.