/usr/include/dune/localfunctions/common/localbasis.hh is in libdune-localfunctions-dev 2.4.1-1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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// vi: set et ts=4 sw=2 sts=2:
#ifndef DUNE_LOCALBASIS_HH
#define DUNE_LOCALBASIS_HH
#include <iostream>
#include <vector>
#include <dune/common/fvector.hh>
namespace Dune
{
/**@ingroup LocalBasisInterface
\brief Type traits for LocalBasisVirtualInterface
A shape function is a function
\f[ \hat\phi : \mbox{IR}^n \to \mbox{IR}^m. \f]
This traits class holds information how the signature of this
function is represented in C++ types.
This is just a convenience class for supplying traits to the
LocalBasisVirtualInterface and its implementations.
\tparam DF Type to represent the field in the domain.
\tparam n Dimension of the domain.
\tparam D Type to represent the domain, allows random access.
\tparam RF Type to represent the field in the range.
\tparam m Dimension of the range.
\tparam R Type to represent the range, allows random access.
\tparam J Type to represent the Jacobian, allows random access.
\tparam dorder Maximal order of implemented partial derivatives
\nosubgrouping
*/
template<class DF, int n, class D, class RF, int m, class R, class J, int dorder=0>
struct LocalBasisTraits
{
//! \brief Export type for domain field
typedef DF DomainFieldType;
//! \brief Enum for domain dimension
enum {
//! \brief dimension of the domain
dimDomain = n
};
//! \brief domain type
typedef D DomainType;
//! \brief Export type for range field
typedef RF RangeFieldType;
//! \brief Enum for range dimension
enum {
//! \brief dimension of the range
dimRange = m
};
//! \brief range type
typedef R RangeType;
/** \brief Type to represent derivative
When \f$ \hat\phi : \mbox{IR}^n \to \mbox{IR}^m \f$ then JacobianType
is an 2D-array of m x n components where entry J[i][j] contains
the derivative \f$\partial_j \hat\phi_i \f$.
*/
typedef J JacobianType;
//! \brief Enum for differentiability order
enum {
//! \brief number of partial derivatives supported
diffOrder=dorder
};
};
/**@ingroup LocalBasisInterface
\brief Type traits for LocalBasisInterface
A shape function is a function
\f[ \hat\phi : \mbox{IR}^n \to \mbox{IR}^m. \f]
This traits class holds information how the signature of this
function is represented in C++ types.
This is just a convenience class for supplying traits to the
C0LocalBasisInterface.
\tparam DF Type to represent the field in the domain.
\tparam n Dimension of the domain.
\tparam D Type to represent the domain, allows random access.
\tparam RF Type to represent the field in the range.
\tparam m Dimension of the range.
\tparam R Type to represent the range, allows random access.
\nosubgrouping
*/
template<class DF, int n, class D, class RF, int m, class R>
struct C0LocalBasisTraits
{
//! \brief Export type for domain field
typedef DF DomainFieldType;
//! \brief Enum for domain dimension
enum {
//! \brief dimension of the domain
dimDomain = n
};
//! \brief domain type
typedef D DomainType;
//! \brief Export type for range field
typedef RF RangeFieldType;
//! \brief Enum for range dimension
enum {
//! \brief dimension of the range
dimRange = m
};
//! \brief range type
typedef R RangeType;
//! \brief Enum for differentiability order
enum {
//! \brief number of derivatives supported
diffOrder=0
};
};
/**@ingroup LocalBasisInterface
\brief Type traits for C1LocalBasisInterface
Extends the traits class LocalBasisTraits for differentiable
shape functions.
\tparam DF Type to represent the field in the domain.
\tparam n Dimension of the domain.
\tparam D Type to represent the domain, allows random access.
\tparam RF Type to represent the field in the range.
\tparam m Dimension of the range.
\tparam R Type to represent the range, allows random access.
\tparam J Type to represent the Jacobian, allows random access.
\nosubgrouping
*/
template<class DF, int n, class D, class RF, int m, class R, class J>
struct C1LocalBasisTraits : public C0LocalBasisTraits<DF,n,D,RF,m,R>
{
/** \brief Type to represent derivative
When \f$ \hat\phi : \mbox{IR}^n \to \mbox{IR}^m \f$ then JacobianType
is an 2D-array of m x n components where entry J[i][j] contains
the derivative \f$\partial_j \hat\phi_i \f$.
*/
typedef J JacobianType;
//! \brief Enum for differentiability order
enum {
//! \brief number of derivatives supported
diffOrder=1
};
};
template<class DF, int n, class D, class RF, int m, class R, class J, int dorder>
struct CkLocalBasisTraits : public C1LocalBasisTraits<DF,n,D,RF,m,R,J>
{
//! \brief Enum for differentiability order
enum {
//! \brief number of derivatives supported
diffOrder=dorder
};
};
}
#endif
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