DOLFIN
DOLFIN C++ interface
Public Member Functions | Protected Attributes | List of all members
dolfin::Expression Class Reference

#include <Expression.h>

Inheritance diagram for dolfin::Expression:
Inheritance graph
[legend]
Collaboration diagram for dolfin::Expression:
Collaboration graph
[legend]

Public Member Functions

 Expression ()
 Create scalar expression.
 
 Expression (std::size_t dim)
 
 Expression (std::size_t dim0, std::size_t dim1)
 
 Expression (std::vector< std::size_t > value_shape)
 
 Expression (const Expression &expression)
 
virtual ~Expression ()
 Destructor.
 
virtual void eval (Array< double > &values, const Array< double > &x, const ufc::cell &cell) const override
 
virtual void eval (Eigen::Ref< Eigen::VectorXd > values, Eigen::Ref< const Eigen::VectorXd > x, const ufc::cell &cell) const override
 
virtual void eval (Array< double > &values, const Array< double > &x) const override
 
virtual void eval (Eigen::Ref< Eigen::VectorXd > values, Eigen::Ref< const Eigen::VectorXd > x) const override
 
virtual std::size_t value_rank () const override
 
virtual std::size_t value_dimension (std::size_t i) const override
 
virtual std::vector< std::size_t > value_shape () const override
 
virtual void set_property (std::string name, double value)
 
virtual double get_property (std::string name) const
 
virtual void set_generic_function (std::string name, std::shared_ptr< GenericFunction > f)
 
virtual std::shared_ptr< dolfin::GenericFunctionget_generic_function (std::string name) const
 
virtual void restrict (double *w, const FiniteElement &element, const Cell &dolfin_cell, const double *coordinate_dofs, const ufc::cell &ufc_cell) const override
 
virtual void compute_vertex_values (std::vector< double > &vertex_values, const Mesh &mesh) const override
 
virtual std::shared_ptr< const FunctionSpacefunction_space () const override
 
- Public Member Functions inherited from dolfin::GenericFunction
 GenericFunction ()
 Constructor.
 
virtual ~GenericFunction ()
 Destructor.
 
virtual void update () const
 Update off-process ghost coefficients.
 
double operator() (double x) const
 Evaluation at given point (scalar function)
 
double operator() (double x, double y) const
 Evaluation at given point (scalar function)
 
double operator() (double x, double y, double z) const
 Evaluation at given point (scalar function)
 
double operator() (const Point &p) const
 Evaluation at given point (scalar function)
 
void operator() (Array< double > &values, double x) const
 Evaluation at given point (vector-valued function)
 
void operator() (Array< double > &values, double x, double y) const
 Evaluation at given point (vector-valued function)
 
void operator() (Array< double > &values, double x, double y, double z) const
 Evaluation at given point (vector-valued function)
 
void operator() (Array< double > &values, const Point &p) const
 Evaluation at given point (vector-valued function)
 
std::size_t value_size () const
 Evaluation at given point. More...
 
virtual void evaluate (double *values, const double *coordinates, const ufc::cell &cell) const override
 
- Public Member Functions inherited from dolfin::Variable
 Variable ()
 Create unnamed variable.
 
 Variable (const std::string name, const std::string label)
 Create variable with given name and label.
 
 Variable (const Variable &variable)
 Copy constructor.
 
virtual ~Variable ()
 Destructor.
 
const Variableoperator= (const Variable &variable)
 Assignment operator.
 
void rename (const std::string name, const std::string label)
 Rename variable.
 
std::string name () const
 Return name.
 
std::string label () const
 Return label (description)
 
std::size_t id () const
 
virtual std::string str (bool verbose) const
 Return informal string representation (pretty-print)
 

Protected Attributes

std::vector< std::size_t > _value_shape
 

Additional Inherited Members

- Public Attributes inherited from dolfin::Variable
Parameters parameters
 Parameters.
 
- Protected Member Functions inherited from dolfin::GenericFunction
void restrict_as_ufc_function (double *w, const FiniteElement &element, const Cell &dolfin_cell, const double *coordinate_dofs, const ufc::cell &ufc_cell) const
 Restrict as UFC function (by calling eval)
 

Detailed Description

This class represents a user-defined expression. Expressions can be used as coefficients in variational forms or interpolated into finite element spaces.

An expression is defined by overloading the eval() method. Users may choose to overload either a simple version of eval(), in the case of expressions only depending on the coordinate x, or an optional version for expressions depending on x and mesh data like cell indices or facet normals.

The geometric dimension (the size of x) and the value rank and dimensions of an expression must supplied as arguments to the constructor.

Constructor & Destructor Documentation

Expression::Expression ( std::size_t  dim)
explicit

Create vector-valued expression with given dimension.

Parameters
dim(std::size_t) Dimension of the vector-valued expression.
Expression::Expression ( std::size_t  dim0,
std::size_t  dim1 
)

Create matrix-valued expression with given dimensions.

Parameters
dim0(std::size_t) Dimension (rows).
dim1(std::size_t) Dimension (columns).
Expression::Expression ( std::vector< std::size_t >  value_shape)
explicit

Create tensor-valued expression with given shape.

Parameters
value_shape(std::vector<std::size_t>) Shape of expression.
Expression::Expression ( const Expression expression)

Copy constructor

Parameters
expression(Expression) Object to be copied.

Member Function Documentation

void Expression::compute_vertex_values ( std::vector< double > &  vertex_values,
const Mesh mesh 
) const
overridevirtual

Compute values at all mesh vertices.

Parameters
vertex_values(Array<double>) The values at all vertices.
mesh(Mesh) The mesh.

Implements dolfin::GenericFunction.

Reimplemented in dolfin::MeshDisplacement.

void Expression::eval ( Array< double > &  values,
const Array< double > &  x,
const ufc::cell &  cell 
) const
overridevirtual

Evaluate at given point in given cell (deprecated)

Parameters
values(Array<double>) The values at the point.
x(Array<double>) The coordinates of the point.
cell(ufc::cell) The cell which contains the given point.

Reimplemented from dolfin::GenericFunction.

Reimplemented in dolfin::MeshDisplacement, dolfin::SpecialFacetFunction, dolfin::FacetArea, and dolfin::MeshCoordinates.

void Expression::eval ( Eigen::Ref< Eigen::VectorXd >  values,
Eigen::Ref< const Eigen::VectorXd >  x,
const ufc::cell &  cell 
) const
overridevirtual

Evaluate at given point in given cell

Parameters
values(Eigen::Ref<Eigen::VectorXd>) The values at the point.
x(Eigen::Ref<const Eigen::VectorXd>) The coordinates of the point.
cell(ufc::cell) The cell which contains the given point.

Reimplemented from dolfin::GenericFunction.

void Expression::eval ( Array< double > &  values,
const Array< double > &  x 
) const
overridevirtual

Evaluate at given point (deprecated)

Parameters
values(Array<double>) The values at the point.
x(Array<double>) The coordinates of the point.

Reimplemented from dolfin::GenericFunction.

Reimplemented in dolfin::Constant.

void Expression::eval ( Eigen::Ref< Eigen::VectorXd >  values,
Eigen::Ref< const Eigen::VectorXd >  x 
) const
overridevirtual

Evaluate at given point.

Parameters
values(Eigen::Ref<Eigen::VectorXd>) The values at the point.
x(Eigen::Ref<const Eigen::VectorXd>) The coordinates of the point.

Reimplemented from dolfin::GenericFunction.

Reimplemented in dolfin::Constant.

std::shared_ptr< const FunctionSpace > Expression::function_space ( ) const
overridevirtual

Return shared pointer to function space (NULL) Expression does not have a FunctionSpace

Returns
FunctionSpace Return the shared pointer.

Implements dolfin::GenericFunction.

std::shared_ptr< GenericFunction > Expression::get_generic_function ( std::string  name) const
virtual

Property getter for type "GenericFunction" Used in pybind11 Python interface to get the value of a python attribute

double Expression::get_property ( std::string  name) const
virtual

Property getter for type "double" Used in pybind11 Python interface to get the value of a python attribute

void Expression::restrict ( double *  w,
const FiniteElement element,
const Cell dolfin_cell,
const double *  coordinate_dofs,
const ufc::cell &  ufc_cell 
) const
overridevirtual

Restrict function to local cell (compute expansion coefficients w).

Parameters
w(list of doubles) Expansion coefficients.
element(FiniteElement) The element.
dolfin_cell(Cell) The cell.
coordinate_dofs(double*) The coordinates
ufc_cell(ufc::cell) The ufc::cell.

Implements dolfin::GenericFunction.

void Expression::set_generic_function ( std::string  name,
std::shared_ptr< GenericFunction f 
)
virtual

Property setter for type "GenericFunction" Used in pybind11 Python interface to attach a value to a python attribute

void Expression::set_property ( std::string  name,
double  value 
)
virtual

Property setter for type "double" Used in pybind11 Python interface to attach a value to a python attribute

std::size_t Expression::value_dimension ( std::size_t  i) const
overridevirtual

Return value dimension for given axis.

Parameters
i(std::size_t) Integer denoting the axis to use.
Returns
std::size_t The value dimension (for the given axis).

Implements dolfin::GenericFunction.

std::size_t Expression::value_rank ( ) const
overridevirtual

Return value rank.

Returns
std::size_t The value rank.

Implements dolfin::GenericFunction.

std::vector< std::size_t > Expression::value_shape ( ) const
overridevirtual

Return value shape

Returns
std::vector<std::size_t> The value shape.

Implements dolfin::GenericFunction.


The documentation for this class was generated from the following files: