Feel::PolynomialSet< Poly, PolySetType >::Context< context_v, Basis_t, Geo_t, ElementType, context_g > Class Template Reference

List of all members.

Classes
struct	Index
Public Types
typedef Basis_t::polyset_type	polyset_type
typedef Basis_t	reference_element_type
typedef boost::shared_ptr < Basis_t >	reference_element_ptrtype
typedef reference_element_type::value_type	value_type
typedef ElementType	geometric_element_type
typedef Geo_t::template Context< context_g, ElementType >	geometric_mapping_context_type
typedef boost::shared_ptr < geometric_mapping_context_type >	geometric_mapping_context_ptrtype
typedef node< value_type >::type	node_type
typedef ublas::matrix< value_type >	matrix_type
typedef points_type	matrix_node_t_type
typedef Eigen::Matrix < value_type, nComponents1, 1 >	id_type
typedef Eigen::Matrix < value_type, nComponents1, nDim >	ref_grad_type
typedef Eigen::Matrix < value_type, nComponents1, NDim >	grad_type
typedef Eigen::Matrix < value_type, NDim, NDim >	hess_type
typedef Eigen::Matrix < value_type, 1, 1 >	div_type
typedef Eigen::Matrix < value_type, nComponents1, 1 >	dn_type
typedef Eigen::Matrix < value_type, 3, 1 >	curl_type
typedef Eigen::Matrix < value_type, nComponents1, 1 >	dx_type
typedef Eigen::Matrix < value_type, nComponents1, 1 >	dy_type
typedef Eigen::Matrix < value_type, nComponents1, 1 >	dz_type
typedef geometric_mapping_context_type	gmc_type
typedef Eigen::Matrix < value_type, gmc_type::NDim, gmc_type::PDim >	matrix_eigen_NP_type
typedef Eigen::Matrix < value_type, gmc_type::PDim, gmc_type::NDim >	matrix_eigen_PN_type
typedef Eigen::Matrix < value_type, gmc_type::NDim, gmc_type::NDim >	matrix_eigen_NN_type
typedef Eigen::Matrix < value_type, nComponents1, NDim >	matrix_eigen_grad_type
typedef Eigen::Map< const Eigen::Matrix< value_type, gmc_type::NDim, gmc_type::PDim, Eigen::RowMajor > >	matrix_eigen_ublas_NP_type
Public Member Functions
	Context (reference_element_ptrtype const &__RefEle, geometric_mapping_context_ptrtype const &__gmc, precompute_ptrtype const &__pc)
void	transformationEquivalence (geometric_mapping_context_ptrtype const &__gmc, mpl::bool_< true >)
void	transformationEquivalence (geometric_mapping_context_ptrtype const &__gmc, mpl::bool_< false >)
void	update (geometric_mapping_context_ptrtype const &__gmc, precompute_ptrtype const &__pc)
void	update (geometric_mapping_context_ptrtype const &__gmc)
void	update (geometric_mapping_context_ptrtype const &__gmc, mpl::int_< 0 >, mpl::bool_< true >)
void	update (geometric_mapping_context_ptrtype const &__gmc, mpl::int_< 0 >, mpl::bool_< false >)
void	update (geometric_mapping_context_ptrtype const &__gmc, mpl::int_< 1 >, mpl::bool_< false >)
void	update (geometric_mapping_context_ptrtype const &__gmc, mpl::int_< 1 >, mpl::bool_< true >)
uint16_type	nPoints () const
geometric_mapping_context_ptrtype const &	gmContext () const
size_type	eId () const
matrix_node_t_type const &	xRefs () const
precompute_ptrtype const &	pc () const
boost::multi_array< value_type, 4 > const &	id () const
value_type const &	id (uint32_type i, uint16_type c1, uint16_type c2, uint32_type q) const
value_type const &	id (uint32_type i, uint16_type, uint16_type, uint32_type q, mpl::int_< 0 >) const
value_type const &	id (uint32_type i, uint16_type c1, uint16_type c2, uint32_type q, mpl::int_< 1 >) const
id_type const &	id (uint32_type i, uint32_type q) const
value_type const &	id (uint32_type i, uint16_type c1, uint16_type c2, uint32_type q, mpl::int_< 2 >) const
value_type	d (uint32_type i, uint16_type c1, uint16_type c2, uint32_type q) const
value_type	dx (uint32_type i, uint16_type c1, uint16_type c2, uint32_type q) const
value_type	dx (uint32_type i, uint16_type, uint16_type, uint32_type q, mpl::int_< 0 >) const
value_type	dx (uint32_type i, uint16_type c1, uint16_type, uint32_type q, mpl::int_< 1 >) const
value_type	dy (uint32_type i, uint16_type c1, uint16_type c2, uint32_type q) const
value_type	dy (uint32_type i, uint16_type, uint16_type, uint32_type q, mpl::int_< 0 >) const
value_type	dy (uint32_type i, uint16_type c1, uint16_type, uint32_type q, mpl::int_< 1 >) const
value_type	dz (uint32_type i, uint16_type c1, uint16_type c2, uint32_type q) const
value_type	dz (uint32_type i, uint16_type, uint16_type, uint32_type q, mpl::int_< 0 >) const
value_type	dz (uint32_type i, uint16_type c1, uint16_type, uint32_type q, mpl::int_< 1 >) const
value_type const &	dn (uint32_type i, uint16_type c1, uint16_type c2, uint32_type q) const
dn_type const &	dn (uint16_type i, uint32_type q) const
value_type	grad (uint16_type i, uint16_type c1, uint16_type c2, uint32_type q) const
value_type	grad (uint16_type i, uint16_type c1, uint16_type c2, uint32_type q, mpl::int_< 0 >) const
value_type	grad (uint16_type i, uint16_type c1, uint16_type c2, uint32_type q, mpl::int_< 1 >) const
grad_type const &	grad (uint16_type i, uint32_type q) const
dx_type const &	dx (uint16_type i, uint32_type q) const
dy_type const &	dy (uint16_type i, uint32_type q) const
dz_type const &	dz (uint16_type i, uint32_type q) const
value_type	div (uint16_type i, uint16_type c1, uint16_type c2, uint32_type q) const
value_type	div (uint16_type i, uint16_type c1, uint16_type c2, uint32_type q, mpl::int_< 0 >) const
value_type	div (uint16_type i, uint16_type c1, uint16_type c2, uint32_type q, mpl::int_< 1 >) const
value_type	curl (uint16_type i, uint16_type c1, uint16_type c2, uint32_type q) const
value_type	curl (uint16_type i, uint16_type c1, uint16_type c2, uint32_type q, mpl::int_< 0 >) const
value_type	curl (uint16_type i, uint16_type c1, uint16_type c2, uint32_type q, mpl::int_< 1 >) const
value_type	curlx (uint16_type i, uint16_type c1, uint16_type c2, uint32_type q) const
value_type	curlx (uint16_type i, uint16_type c1, uint16_type c2, uint32_type q, mpl::int_< 0 >) const
value_type	curlx (uint16_type i, uint16_type c1, uint16_type c2, uint32_type q, mpl::int_< 1 >) const
value_type	curly (uint16_type i, uint16_type c1, uint16_type c2, uint32_type q) const
value_type	curly (uint16_type i, uint16_type c1, uint16_type c2, uint32_type q, mpl::int_< 0 >) const
value_type	curly (uint16_type i, uint16_type c1, uint16_type c2, uint32_type q, mpl::int_< 1 >) const
value_type	curlz (uint16_type i, uint16_type c1, uint16_type c2, uint32_type q) const
value_type	curlz (uint16_type i, uint16_type c1, uint16_type c2, uint32_type q, mpl::int_< 0 >) const
value_type	curlz (uint16_type i, uint16_type c1, uint16_type c2, uint32_type q, mpl::int_< 1 >) const
value_type	hess (uint16_type i, uint16_type c1, uint16_type c2, uint32_type q) const
value_type	hess (uint16_type i, uint16_type c1, uint16_type c2, uint32_type q, mpl::int_< 0 >) const
	Context (Context const &)
Static Public Attributes
static EIGEN_MAKE_ALIGNED_OPERATOR_NEW const int	context = context_v
static const uint16_type	PDim = ElementType::nDim
static const uint16_type	NDim = ElementType::nRealDim
static const uint16_type	nDof = Basis_t::nLocalDof
static const bool	is_product = Basis_t::is_product
static const bool	is_scalar = Basis_t::is_scalar
static const bool	is_vectorial = Basis_t::is_vectorial
static const bool	is_tensor2 = Basis_t::is_tensor2
static const uint16_type	nComponents = Basis_t::nComponents
static const uint16_type	nComponents1 = Basis_t::nComponents1
static const uint16_type	nComponents2 = Basis_t::nComponents2
static const uint16_type	rank = polyset_type::rank

template<typename Poly, template< uint16_type > class PolySetType = Scalar>
template<size_type context_v, typename Basis_t, typename Geo_t, typename ElementType, size_type context_g = context_v>
class Feel::PolynomialSet< Poly, PolySetType >::Context< context_v, Basis_t, Geo_t, ElementType, context_g >

---

Member Function Documentation

template<typename Poly, template< uint16_type > class PolySetType = Scalar>

template<size_type context_v, typename Basis_t , typename Geo_t , typename ElementType , size_type context_g = context_v>

value_type Feel::PolynomialSet< Poly, PolySetType >::Context< context_v, Basis_t, Geo_t, ElementType, context_g >::curl	(	uint16_type	i,
		uint16_type	c1,
		uint16_type	c2,
		uint32_type	q
	)		const [inline]

curl of the basis function at the q-th point.

Parameters:

q	index of the points to evaluate the curl
i	index containing current function and component indices

Returns:

curl of the basis function at the q-th point

template<typename Poly, template< uint16_type > class PolySetType = Scalar>

template<size_type context_v, typename Basis_t , typename Geo_t , typename ElementType , size_type context_g = context_v>

value_type Feel::PolynomialSet< Poly, PolySetType >::Context< context_v, Basis_t, Geo_t, ElementType, context_g >::div	(	uint16_type	i,
		uint16_type	c1,
		uint16_type	c2,
		uint32_type	q
	)		const [inline]

divergence of the basis function at the q-th point.

Parameters:

q	index of the points to evaluate the divergence
i	index containing current function and component indices

Returns:

divergence of the basis function at the q-th point

template<typename Poly, template< uint16_type > class PolySetType = Scalar>

template<size_type context_v, typename Basis_t , typename Geo_t , typename ElementType , size_type context_g = context_v>

value_type Feel::PolynomialSet< Poly, PolySetType >::Context< context_v, Basis_t, Geo_t, ElementType, context_g >::div	(	uint16_type	i,
		uint16_type	c1,
		uint16_type	c2,
		uint32_type	q,
		mpl::int_< 0 >
	)		const [inline]

divergence of a scalar function is undefined.

template<typename Poly, template< uint16_type > class PolySetType = Scalar>

template<size_type context_v, typename Basis_t , typename Geo_t , typename ElementType , size_type context_g = context_v>

value_type const& Feel::PolynomialSet< Poly, PolySetType >::Context< context_v, Basis_t, Geo_t, ElementType, context_g >::dn	(	uint32_type	i,
		uint16_type	c1,
		uint16_type	c2,
		uint32_type	q
	)		const [inline]

Returns:

the matrix containing the value of the normal derivative of the basis fucntions at the set of nodes

the matrix containing the value of the normal derivative of the basis function i at the node q

template<typename Poly, template< uint16_type > class PolySetType = Scalar>

template<size_type context_v, typename Basis_t , typename Geo_t , typename ElementType , size_type context_g = context_v>

size_type Feel::PolynomialSet< Poly, PolySetType >::Context< context_v, Basis_t, Geo_t, ElementType, context_g >::eId

(

)

const [inline]

Returns:

the element id

template<typename Poly, template< uint16_type > class PolySetType = Scalar>

template<size_type context_v, typename Basis_t , typename Geo_t , typename ElementType , size_type context_g = context_v>

geometric_mapping_context_ptrtype const& Feel::PolynomialSet< Poly, PolySetType >::Context< context_v, Basis_t, Geo_t, ElementType, context_g >::gmContext

(

)

const [inline]

Returns:

the geometric mapping context

template<typename Poly, template< uint16_type > class PolySetType = Scalar>

template<size_type context_v, typename Basis_t , typename Geo_t , typename ElementType , size_type context_g = context_v>

uint16_type Feel::PolynomialSet< Poly, PolySetType >::Context< context_v, Basis_t, Geo_t, ElementType, context_g >::nPoints

(

void

)

const [inline]

Returns:

the number of points at which the basis functions have been evaluated

template<typename Poly, template< uint16_type > class PolySetType = Scalar>

template<size_type context_v, typename Basis_t , typename Geo_t , typename ElementType , size_type context_g = context_v>

precompute_ptrtype const& Feel::PolynomialSet< Poly, PolySetType >::Context< context_v, Basis_t, Geo_t, ElementType, context_g >::pc

(

)

const [inline]

Returns:

the precomputation of the basis function in the reference element

template<typename Poly, template< uint16_type > class PolySetType = Scalar>

template<size_type context_v, typename Basis_t , typename Geo_t , typename ElementType , size_type context_g = context_v>

void Feel::PolynomialSet< Poly, PolySetType >::Context< context_v, Basis_t, Geo_t, ElementType, context_g >::transformationEquivalence	(	geometric_mapping_context_ptrtype const &	__gmc,
		mpl::bool_< true >
	)		[inline]

if isTransformationEquivalent is set to true in basis then no transformation is required

template<typename Poly, template< uint16_type > class PolySetType = Scalar>

template<size_type context_v, typename Basis_t , typename Geo_t , typename ElementType , size_type context_g = context_v>

void Feel::PolynomialSet< Poly, PolySetType >::Context< context_v, Basis_t, Geo_t, ElementType, context_g >::transformationEquivalence	(	geometric_mapping_context_ptrtype const &	__gmc,
		mpl::bool_< false >
	)		[inline]

if isTransformationEquivalent is set to false in basis then a transformation is required to ensure that the basis function are equivalent on the reference and real elements. We deleguate the transformation to the basis

template<typename Poly, template< uint16_type > class PolySetType = Scalar>

template<size_type context_v, typename Basis_t , typename Geo_t , typename ElementType , size_type context_g = context_v>

matrix_node_t_type const& Feel::PolynomialSet< Poly, PolySetType >::Context< context_v, Basis_t, Geo_t, ElementType, context_g >::xRefs

(

)

const [inline]

Returns:

the points in the reference element