Class template `Dune::XT::Functions::FunctionInterface`¶

Inherits from Dune::XT::Common::ParametricInterface.

template<size_t d, size_t r, size_t rC, class R> class Dune::XT::Functions::FunctionInterface<d, r, rC, R> : public Common::ParametricInterface ¶

Interface for functions (in the C^ infty sense) which can thus be evaluated in global coordinates.

auto function = …; auto grid_view = …; using E = XT::Grid::extract_entity_t<decltype(grid_view)>; auto grid_function = make_grid_function(function);

These functions do not depend on a grid, but only on the dimensions and fields of their domain and range. See in particular RangeReturnTypeSelector and DerivativeRangeReturnTypeSelector for the interpretation of a function and its derivatives, and GridFunctionInterface for functions which may have discontinuities between entities (as in: which are double-valued on intersections).

To turn a function into a function which is localizable w.r.t. a GridView of matching dimension (e.g., to visualize it or to use it in a discretization scheme), use make_grid_function to obtain a wrapped version of this function:

See also: RangeReturnTypeSelector, DerivativeRangeReturnTypeSelector, GridFunctionInterface, GridInterface, make_grid_function

Method `Dune::XT::Functions::FunctionInterface::operator=`¶

template<size_t d, size_t r, size_t rC, class R> ThisType &Dune::XT::Functions::FunctionInterface<d, r, rC, R>::operator=(const ThisType&) = delete¶: No documentation provided.

Method `Dune::XT::Functions::FunctionInterface::operator=`¶

template<size_t d, size_t r, size_t rC, class R> ThisType &Dune::XT::Functions::FunctionInterface<d, r, rC, R>::operator=(ThisType&&) = delete¶: No documentation provided.

Method `Dune::XT::Functions::FunctionInterface::copy_as_function`¶

template<size_t d, size_t r, size_t rC, class R> int Dune::XT::Functions::FunctionInterface<d, r, rC, R>::copy_as_function() const¶: Returns a (shallow) copy of the function. actual implementation work is delegated to the private copy_as_function_impl combined with hiding copy_as_function in derived classes, this allows us the a unique_ptr with correct type at all levels of the polymorphic hierarchy

Note

This is intended to be cheap, so make sure to share resources (but in a thread-safe way)!

Method `Dune::XT::Functions::FunctionInterface::copy_as_function_impl`¶

template<size_t d, size_t r, size_t rC, class R> virtual ThisType *Dune::XT::Functions::FunctionInterface<d, r, rC, R>::copy_as_function_impl() const = 0¶: No documentation provided.

Method `Dune::XT::Functions::FunctionInterface::order`¶

template<size_t d, size_t r, size_t rC, class R> virtual int Dune::XT::Functions::FunctionInterface<d, r, rC, R>::order(const XT::Common::Parameter&) const = 0¶: No documentation provided.

Method `Dune::XT::Functions::FunctionInterface::evaluate`¶

template<size_t d, size_t r, size_t rC, class R> int Dune::XT::Functions::FunctionInterface<d, r, rC, R>::evaluate(const int&, const Common::Parameter&) const¶

Method `Dune::XT::Functions::FunctionInterface::jacobian`¶

template<size_t d, size_t r, size_t rC, class R> int Dune::XT::Functions::FunctionInterface<d, r, rC, R>::jacobian(const int&, const Common::Parameter&) const¶: No documentation provided.

Method `Dune::XT::Functions::FunctionInterface::derivative`¶

template<size_t d, size_t r, size_t rC, class R> int Dune::XT::Functions::FunctionInterface<d, r, rC, R>::derivative(const int&, const int&, const Common::Parameter&) const¶: No documentation provided.

Method `Dune::XT::Functions::FunctionInterface::static_id`¶

template<size_t d, size_t r, size_t rC, class R> static std::string Dune::XT::Functions::FunctionInterface<d, r, rC, R>::static_id()¶: No documentation provided.

Method `Dune::XT::Functions::FunctionInterface::name`¶

template<size_t d, size_t r, size_t rC, class R> virtual std::string Dune::XT::Functions::FunctionInterface<d, r, rC, R>::name() const¶: No documentation provided.

Method `Dune::XT::Functions::FunctionInterface::operator-`¶

template<size_t d, size_t r, size_t rC, class R> Functions::DifferenceFunction<ThisType, ThisType> Dune::XT::Functions::FunctionInterface<d, r, rC, R>::operator-(const ThisType &other) const¶

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Operators emulating numeric types.

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Method `Dune::XT::Functions::FunctionInterface::operator+`¶

template<size_t d, size_t r, size_t rC, class R> Functions::SumFunction<ThisType, ThisType> Dune::XT::Functions::FunctionInterface<d, r, rC, R>::operator+(const ThisType &other) const¶: No documentation provided.

Constructor `Dune::XT::Functions::FunctionInterface::FunctionInterface<d, r, rC, R>`¶

template<> template<size_t d, size_t r, size_t rC, class R> explicit Dune::XT::Functions::FunctionInterface<d, r, rC, R>::FunctionInterface<d, r, rC, R>(const Common::ParameterType &param_type = {})¶: \ }

Constructor `Dune::XT::Functions::FunctionInterface::FunctionInterface<d, r, rC, R>`¶

template<> template<size_t d, size_t r, size_t rC, class R> Dune::XT::Functions::FunctionInterface<d, r, rC, R>::FunctionInterface<d, r, rC, R>(const ThisType &other)¶: No documentation provided.

Constructor `Dune::XT::Functions::FunctionInterface::FunctionInterface<d, r, rC, R>`¶

template<> template<size_t d, size_t r, size_t rC, class R> Dune::XT::Functions::FunctionInterface<d, r, rC, R>::FunctionInterface<d, r, rC, R>(ThisType&) = default¶: No documentation provided.

Destructor `Dune::XT::Functions::FunctionInterface::~FunctionInterface<d, r, rC, R>`¶

template<> ~FunctionInterface<domainDim, rangeDim, rangeDimCols, RangeField>() override = default¶: No documentation provided.

Variable `Dune::XT::Functions::FunctionInterface::domain_dim`¶

const int Dune::XT::Functions::FunctionInterface::domain_dim¶: No documentation provided.

Variable `Dune::XT::Functions::FunctionInterface::range_dim`¶

const int Dune::XT::Functions::FunctionInterface::range_dim¶: No documentation provided.

Variable `Dune::XT::Functions::FunctionInterface::range_dim_cols`¶

const int Dune::XT::Functions::FunctionInterface::range_dim_cols¶: No documentation provided.

Variable `Dune::XT::Functions::FunctionInterface::d`¶

const int Dune::XT::Functions::FunctionInterface::d¶: No documentation provided.

Variable `Dune::XT::Functions::FunctionInterface::r`¶

const int Dune::XT::Functions::FunctionInterface::r¶: No documentation provided.

Variable `Dune::XT::Functions::FunctionInterface::rC`¶

const int Dune::XT::Functions::FunctionInterface::rC¶: No documentation provided.

Type alias `Dune::XT::Functions::FunctionInterface::ThisType`¶

type Dune::XT::Functions::FunctionInterface::ThisType¶: No documentation provided.

Type alias `Dune::XT::Functions::FunctionInterface::DomainFieldType`¶

type Dune::XT::Functions::FunctionInterface::DomainFieldType¶: No documentation provided.

Type alias `Dune::XT::Functions::FunctionInterface::RangeFieldType`¶

type Dune::XT::Functions::FunctionInterface::RangeFieldType¶: No documentation provided.

Type alias `Dune::XT::Functions::FunctionInterface::D`¶

type Dune::XT::Functions::FunctionInterface::D¶: No documentation provided.

Type alias `Dune::XT::Functions::FunctionInterface::R`¶

type Dune::XT::Functions::FunctionInterface::R¶: No documentation provided.

Type alias `Dune::XT::Functions::FunctionInterface::DifferenceType`¶

type Dune::XT::Functions::FunctionInterface::DifferenceType¶: No documentation provided.

Type alias `Dune::XT::Functions::FunctionInterface::SumType`¶

type Dune::XT::Functions::FunctionInterface::SumType¶: No documentation provided.