Reference documentation for deal.II version Git ee8a81293c 2020-10-19 10:17:29 -0400
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Public Types | Public Member Functions | Static Public Member Functions | Public Attributes | Static Public Attributes | Private Member Functions | Private Attributes | List of all members
FunctionParser< dim > Class Template Reference

#include <deal.II/base/function_parser.h>

Inheritance diagram for FunctionParser< dim >:
[legend]

Public Types

using ConstMap = std::map< std::string, double >
 
enum  DifferenceFormula { Euler, UpwindEuler, FourthOrder }
 
using time_type = typename FunctionTime< typename numbers::NumberTraits< double >::real_type >::time_type
 

Public Member Functions

 FunctionParser (const unsigned int n_components=1, const double initial_time=0.0, const double h=1e-8)
 
 FunctionParser (const std::string &expression, const std::string &constants="", const std::string &variable_names=default_variable_names()+",t", const double h=1e-8)
 
 FunctionParser (const FunctionParser &)=delete
 
 FunctionParser (FunctionParser &&)=delete
 
virtual ~FunctionParser () override
 
FunctionParseroperator= (const FunctionParser &)=delete
 
FunctionParseroperator= (FunctionParser &&)=delete
 
void initialize (const std::string &vars, const std::vector< std::string > &expressions, const ConstMap &constants, const bool time_dependent=false)
 
void initialize (const std::string &vars, const std::string &expression, const ConstMap &constants, const bool time_dependent=false)
 
virtual double value (const Point< dim > &p, const unsigned int component=0) const override
 
virtual void vector_value (const Point< dim > &p, Vector< double > &values) const override
 
const std::vector< std::string > & get_expressions () const
 
void set_formula (const DifferenceFormula formula=Euler)
 
void set_h (const double h)
 
virtual Tensor< 1, dim > gradient (const Point< dim > &p, const unsigned int component=0) const override
 
virtual void vector_gradient (const Point< dim > &p, std::vector< Tensor< 1, dim >> &gradients) const override
 
virtual void vector_gradient (const Point< dim > &p, std::vector< Tensor< 1, dim, double >> &gradients) const
 
virtual void gradient_list (const std::vector< Point< dim >> &points, std::vector< Tensor< 1, dim >> &gradients, const unsigned int component=0) const override
 
virtual void gradient_list (const std::vector< Point< dim >> &points, std::vector< Tensor< 1, dim, double >> &gradients, const unsigned int component=0) const
 
virtual void vector_gradient_list (const std::vector< Point< dim >> &points, std::vector< std::vector< Tensor< 1, dim >>> &gradients) const override
 
virtual void vector_gradient_list (const std::vector< Point< dim >> &points, std::vector< std::vector< Tensor< 1, dim, double >>> &gradients) const
 
virtual void value_list (const std::vector< Point< dim >> &points, std::vector< double > &values, const unsigned int component=0) const
 
virtual void vector_value_list (const std::vector< Point< dim >> &points, std::vector< Vector< double >> &values) const
 
virtual void vector_values (const std::vector< Point< dim >> &points, std::vector< std::vector< double >> &values) const
 
virtual void vector_gradients (const std::vector< Point< dim >> &points, std::vector< std::vector< Tensor< 1, dim, double >>> &gradients) const
 
virtual double laplacian (const Point< dim > &p, const unsigned int component=0) const
 
virtual void vector_laplacian (const Point< dim > &p, Vector< double > &values) const
 
virtual void laplacian_list (const std::vector< Point< dim >> &points, std::vector< double > &values, const unsigned int component=0) const
 
virtual void vector_laplacian_list (const std::vector< Point< dim >> &points, std::vector< Vector< double >> &values) const
 
virtual SymmetricTensor< 2, dim, doublehessian (const Point< dim > &p, const unsigned int component=0) const
 
virtual void vector_hessian (const Point< dim > &p, std::vector< SymmetricTensor< 2, dim, double >> &values) const
 
virtual void hessian_list (const std::vector< Point< dim >> &points, std::vector< SymmetricTensor< 2, dim, double >> &values, const unsigned int component=0) const
 
virtual void vector_hessian_list (const std::vector< Point< dim >> &points, std::vector< std::vector< SymmetricTensor< 2, dim, double >>> &values) const
 
std::size_t memory_consumption () const
 
Number get_time () const
 
virtual void set_time (const Number new_time)
 
virtual void advance_time (const Number delta_t)
 
template<class Archive >
void serialize (Archive &ar, const unsigned int version)
 
Subscriptor functionality

Classes derived from Subscriptor provide a facility to subscribe to this object. This is mostly used by the SmartPointer class.

void subscribe (std::atomic< bool > *const validity, const std::string &identifier="") const
 
void unsubscribe (std::atomic< bool > *const validity, const std::string &identifier="") const
 
unsigned int n_subscriptions () const
 
template<typename StreamType >
void list_subscribers (StreamType &stream) const
 
void list_subscribers () const
 

Static Public Member Functions

static std::string default_variable_names ()
 
static ::ExceptionBaseExcParseError (int arg1, std::string arg2)
 
static ::ExceptionBaseExcInvalidExpressionSize (int arg1, int arg2)
 
static DifferenceFormula get_formula_of_order (const unsigned int ord)
 
static ::ExceptionBaseExcInUse (int arg1, std::string arg2, std::string arg3)
 
static ::ExceptionBaseExcNoSubscriber (std::string arg1, std::string arg2)
 

Public Attributes

const unsigned int n_components
 

Static Public Attributes

static const unsigned int dimension
 

Private Member Functions

void init_muparser () const
 

Private Attributes

Threads::ThreadLocalStorage< std::vector< double > > vars
 
Threads::ThreadLocalStorage< std::vector< std::unique_ptr< mu::Parser > > > fp
 
std::map< std::string, doubleconstants
 
std::vector< std::string > var_names
 
std::vector< std::string > expressions
 
bool initialized
 
unsigned int n_vars
 

Detailed Description

template<int dim>
class FunctionParser< dim >

This class implements a function object that gets its value by parsing a string describing this function. It is a wrapper class for the muparser library (see https://beltoforion.de/en/muparser/). This class lets you evaluate strings such as "sqrt(1-x^2+y^2)" for given values of 'x' and 'y'. Please refer to the muparser documentation for more information. This class is used in the step-33 and step-36 tutorial programs (the latter being much simpler to understand).

In addition to the built-in functions of muparser, namely

atan2, log2, log10, log, ln, exp, sqrt, sign, rint, abs, min, max, sum, avg

this class also supports the following operations:

Note
This class implements the list of functions just mentioned as user-defined functions by extending muparser. This means, in particular, that the if(condition, then-value, else-value) syntax evaluates all three arguments before determining whether the condition is true, and then discarding either the "then" or the "else" expressions. In almost all situations, this is not a problem except if the evaluation of one of the expressions throws a floating point exception in cases where it will later be discarded. (Assuming floating point exceptions are switched on, as is the default for deal.II in debug mode on most systems.) An example would be the expression if(x>0, sqrt(x), 0) which is mathematically well defined, but on systems where this is enabled will abort the program with a floating point exception when evaluated with a negative x. This is because the square root of x is computed before the if statement's condition is considered to determine whether the result should be the second or third argument. If this kind of behavior is a problem, you can resort to the muparser built-in syntax (condition ? then-value : else-value), using the ternary syntax familiar to C++ programmers. If this syntax is used, muparser uses lazy evaluation in which only one of the branches is evaluated, depending on whether the condition is true or false.

The following examples shows how to use this class:

// set up problem:
std::string variables = "x,y";
std::string expression = "cos(x) + sqrt(y)";
std::map<std::string, double> constants;
// FunctionParser with 2 variables and 1 component:
fp.initialize(variables,
expression,
constants);
// Point at which we want to evaluate the function
Point<2> point(0.0, 4.0);
// evaluate the expression at 'point':
double result = fp.value(point);
deallog << "Function '" << expression << "'"
<< " @ " << point
<< " is " << result << std::endl;

The second example is a bit more complex:

// Define some constants that will be used by the function parser
std::map<std::string, double> constants;
constants["pi"] = numbers::PI;
// Define the variables that will be used inside the expressions
std::string variables = "x,y,z";
// Define the expressions of the individual components of a
// vector valued function with two components:
std::vector<std::string> expressions(2);
expressions[0] = "sin(2*pi*x)+sinh(pi*z)";
expressions[1] = "sin(2*pi*y)*exp(x^2)";
// function parser with 3 variables and 2 components
FunctionParser<3> vector_function(2);
// And populate it with the newly created objects.
vector_function.initialize(variables,
constants);
// Point at which we want to evaluate the function
Point<3> point(0.0, 1.0, 1.0);
// This Vector will store the result
Vector<double> result(2);
// Fill 'result' by evaluating the function
vector_function.vector_value(point, result);
// We can also only evaluate the 2nd component:
const double c = vector_function.value(point, 1);
// Output the evaluated function
deallog << "Function '" << expressions[0] << "," << expressions[1] << "'"
<< " at " << point
<< " is " << result << std::endl;

This class overloads the virtual methods value() and vector_value() of the Function base class with the byte compiled versions of the expressions given to the initialize() methods. Note that the class will not work unless you first call the initialize() method that accepts the text description of the function as an argument (among other things).

The syntax to describe a function follows usual programming practice, and is explained in detail at the homepage of the underlying muparser library at https://beltoforion.de/en/muparser/.

For a wrapper of the FunctionParser class that supports ParameterHandler, see Functions::ParsedFunction.

Vector-valued functions can either be declared using strings where the function components are separated by semicolons, or using a vector of strings each defining one vector component.

An example of time dependent scalar function is the following:

// Empty constants object
std::map<std::string,double> constants;
// Variables that will be used inside the expressions
std::string variables = "x,y,t";
// Define the expression of the scalar time dependent function.
std::string expression = "exp(y*x)*exp(-t)";
// Generate an empty scalar function
// And populate it with the newly created objects.
function.initialize(variables,
expression,
constants,
// Treat the last variable ("t") as time.
true);

The following is another example of how to instantiate a vector valued function by using a single string:

// Empty constants object
std::map<std::string,double> constants;
// Variables that will be used inside the expressions
std::string variables = "x,y";
// Define the expression of the vector valued function.
std::string expression = "cos(2*pi*x)*y^2; sin(2*pi*x)*exp(y)";
// Generate an empty vector valued function
FunctionParser<2> function(2);
// And populate it with the newly created objects.
function.initialize(variables,
expression,
constants);
Note
The difference between this class and the SymbolicFunction class is that the SymbolicFunction class allows to compute first and second order derivatives (in a symbolic way), while this class computes first order derivatives only, using finite differences. For complicated expressions, this class is generally faster than SymbolicFunction.

Definition at line 223 of file function_parser.h.

Member Typedef Documentation

◆ ConstMap

template<int dim>
using FunctionParser< dim >::ConstMap = std::map<std::string, double>

Type for the constant map. Used by the initialize() method.

Definition at line 284 of file function_parser.h.

◆ time_type

using Function< dim, double >::time_type = typename FunctionTime< typename numbers::NumberTraits<double >::real_type>::time_type
inherited

The scalar-valued real type used for representing time.

Definition at line 170 of file function.h.

Member Enumeration Documentation

◆ DifferenceFormula

template<int dim>
enum AutoDerivativeFunction::DifferenceFormula
inherited

Names of difference formulas.

Enumerator
Euler 

The symmetric Euler formula of second order:

\[ u'(t) \approx \frac{u(t+h) - u(t-h)}{2h}. \]

UpwindEuler 

The upwind Euler formula of first order:

\[ u'(t) \approx \frac{u(t) - u(t-h)}{h}. \]

FourthOrder 

The fourth order scheme

\[ u'(t) \approx \frac{u(t-2h) - 8u(t-h) + 8u(t+h) - u(t+2h)}{12h}. \]

Definition at line 88 of file auto_derivative_function.h.

Constructor & Destructor Documentation

◆ FunctionParser() [1/4]

template<int dim>
FunctionParser< dim >::FunctionParser ( const unsigned int  n_components = 1,
const double  initial_time = 0.0,
const double  h = 1e-8 
)

Constructor. Its arguments are the same of the base class Function, with the additional parameter h, used for the computation of gradients using finite differences. This object needs to be initialized with the initialize() method before you can use it. If an attempt to use this function is made before the initialize() method has been called, then an exception is thrown.

Definition at line 45 of file function_parser.cc.

◆ FunctionParser() [2/4]

template<int dim>
FunctionParser< dim >::FunctionParser ( const std::string &  expression,
const std::string &  constants = "",
const std::string &  variable_names = default_variable_names() + ",t",
const double  h = 1e-8 
)

Constructor for parsed functions. Takes directly a semi-colon separated list of expressions (one for each component of the function), an optional comma-separated list of constants, variable names and step size for the computation of first order derivatives by finite differences.

Definition at line 55 of file function_parser.cc.

◆ FunctionParser() [3/4]

template<int dim>
FunctionParser< dim >::FunctionParser ( const FunctionParser< dim > &  )
delete

Copy constructor. Objects of this type can not be copied, and consequently this constructor is deleted.

◆ FunctionParser() [4/4]

template<int dim>
FunctionParser< dim >::FunctionParser ( FunctionParser< dim > &&  )
delete

Move constructor. Objects of this type can not be moved, and consequently this constructor is deleted.

◆ ~FunctionParser()

template<int dim>
FunctionParser< dim >::~FunctionParser ( )
overridevirtualdefault

Destructor.

Member Function Documentation

◆ operator=() [1/2]

template<int dim>
FunctionParser& FunctionParser< dim >::operator= ( const FunctionParser< dim > &  )
delete

Copy operator. Objects of this type can not be copied, and consequently this operator is deleted.

◆ operator=() [2/2]

template<int dim>
FunctionParser& FunctionParser< dim >::operator= ( FunctionParser< dim > &&  )
delete

Move operator. Objects of this type can not be moved, and consequently this operator is deleted.

◆ initialize() [1/2]

template<int dim>
void FunctionParser< dim >::initialize ( const std::string &  vars,
const std::vector< std::string > &  expressions,
const ConstMap constants,
const bool  time_dependent = false 
)

Initialize the object by setting the actual parsed functions.

Parameters
[in]varsa string with the variables that will be used by the expressions to be evaluated. Note that the variables can have any name (of course different from the function names defined above!), but the order IS important. The first variable will correspond to the first component of the point in which the function is evaluated, the second variable to the second component and so forth. If this function is also time dependent, then it is necessary to specify it by setting the time_dependent parameter to true. An exception is thrown if the number of variables specified here is different from dim (if this function is not time-dependent) or from dim+1 (if it is time-dependent).
[in]expressionsa list of strings containing the expressions that will be byte compiled by the internal parser (muParser). Note that the size of this vector must match exactly the number of components of the FunctionParser, as declared in the constructor. If this is not the case, an exception is thrown.
[in]constantsa map of constants used to pass any necessary constant that we want to specify in our expressions (in the example above the number pi). An expression is valid if and only if it contains only defined variables and defined constants (other than the functions specified above). If a constant is given whose name is not valid (eg: constants["sin"] = 1.5;) an exception is thrown.
[in]time_dependentIf this is a time dependent function, then the last variable declared in vars is assumed to be the time variable, and FunctionTime::get_time() is used to initialize it when evaluating the function. Naturally the number of variables parsed by initialize() in this case is dim+1. The value of this parameter defaults to false, i.e., do not consider time.

Definition at line 94 of file function_parser.cc.

◆ initialize() [2/2]

template<int dim>
void FunctionParser< dim >::initialize ( const std::string &  vars,
const std::string &  expression,
const ConstMap constants,
const bool  time_dependent = false 
)

Initialize the function. Same as above, but accepts a string rather than a vector of strings. If this is a vector valued function, its components are expected to be separated by a semicolon. An exception is thrown if this method is called and the number of components successfully parsed does not match the number of components of the base function.

Definition at line 261 of file function_parser.cc.

◆ default_variable_names()

template<int dim>
std::string FunctionParser< dim >::default_variable_names ( )
static

A function that returns default names for variables, to be used in the first argument of the initialize() functions: it returns "x" in 1d, "x,y" in 2d, and "x,y,z" in 3d.

Definition at line 454 of file function_parser.h.

◆ value()

template<int dim>
double FunctionParser< dim >::value ( const Point< dim > &  p,
const unsigned int  component = 0 
) const
overridevirtual

Return the value of the function at the given point. Unless there is only one component (i.e., the function is scalar), you should state the component you want to have evaluated; it defaults to zero, i.e., the first component.

Reimplemented from Function< dim >.

Definition at line 276 of file function_parser.cc.

◆ vector_value()

template<int dim>
void FunctionParser< dim >::vector_value ( const Point< dim > &  p,
Vector< double > &  values 
) const
overridevirtual

Return all components of a vector-valued function at the given point p.

values shall have the right size beforehand, i.e. n_components.

Reimplemented from Function< dim >.

Definition at line 311 of file function_parser.cc.

◆ get_expressions()

template<int dim>
const std::vector< std::string > & FunctionParser< dim >::get_expressions ( ) const

Return an array of function expressions (one per component), used to initialize this function.

Definition at line 37 of file function_parser.cc.

◆ init_muparser()

template<int dim>
void FunctionParser< dim >::init_muparser ( ) const
private

Initialize fp and vars on the current thread. This function may only be called once per thread. A thread can test whether the function has already been called by testing whether 'fp.get().size()==0' (not initialized) or >0 (already initialized).

Definition at line 137 of file function_parser.cc.

◆ set_formula()

template<int dim>
void AutoDerivativeFunction< dim >::set_formula ( const DifferenceFormula  formula = Euler)
inherited

Choose the difference formula. See the enum DifferenceFormula for available choices.

Definition at line 43 of file auto_derivative_function.cc.

◆ set_h()

template<int dim>
void AutoDerivativeFunction< dim >::set_h ( const double  h)
inherited

Takes the difference step size h. It's within the user's responsibility to choose an appropriate value here. h should be chosen taking into account the absolute value of as well as the amount of local variation of the function. Setting h=1e-6 might be a good choice for functions with an absolute value of about 1, that furthermore does not vary to much.

Definition at line 65 of file auto_derivative_function.cc.

◆ gradient()

template<int dim>
Tensor< 1, dim > AutoDerivativeFunction< dim >::gradient ( const Point< dim > &  p,
const unsigned int  component = 0 
) const
overridevirtualinherited

Return the gradient of the specified component of the function at the given point.

Compute numerical difference quotients using the preset DifferenceFormula.

Reimplemented from Function< dim >.

Definition at line 75 of file auto_derivative_function.cc.

◆ vector_gradient() [1/2]

template<int dim>
void AutoDerivativeFunction< dim >::vector_gradient ( const Point< dim > &  p,
std::vector< Tensor< 1, dim >> &  gradients 
) const
overridevirtualinherited

Return the gradient of all components of the function at the given point.

Compute numerical difference quotients using the preset DifferenceFormula.

Definition at line 127 of file auto_derivative_function.cc.

◆ vector_gradient() [2/2]

virtual void Function< dim, double >::vector_gradient ( const Point< dim > &  p,
std::vector< Tensor< 1, dim, double >> &  gradients 
) const
virtualinherited

Return the gradient of all components of the function at the given point.

◆ gradient_list() [1/2]

template<int dim>
void AutoDerivativeFunction< dim >::gradient_list ( const std::vector< Point< dim >> &  points,
std::vector< Tensor< 1, dim >> &  gradients,
const unsigned int  component = 0 
) const
overridevirtualinherited

Set gradients to the gradients of the specified component of the function at the points. It is assumed that gradients already has the right size, i.e. the same size as the points array.

Compute numerical difference quotients using the preset DifferenceFormula.

Definition at line 204 of file auto_derivative_function.cc.

◆ gradient_list() [2/2]

virtual void Function< dim, double >::gradient_list ( const std::vector< Point< dim >> &  points,
std::vector< Tensor< 1, dim, double >> &  gradients,
const unsigned int  component = 0 
) const
virtualinherited

Set gradients to the gradients of the specified component of the function at the points. It is assumed that gradients already has the right size, i.e. the same size as the points array.

◆ vector_gradient_list() [1/2]

template<int dim>
void AutoDerivativeFunction< dim >::vector_gradient_list ( const std::vector< Point< dim >> &  points,
std::vector< std::vector< Tensor< 1, dim >>> &  gradients 
) const
overridevirtualinherited

Set gradients to the gradients of the function at the points, for all components. It is assumed that gradients already has the right size, i.e. the same size as the points array.

The outer loop over gradients is over the points in the list, the inner loop over the different components of the function.

Compute numerical difference quotients using the preset DifferenceFormula.

Definition at line 268 of file auto_derivative_function.cc.

◆ vector_gradient_list() [2/2]

virtual void Function< dim, double >::vector_gradient_list ( const std::vector< Point< dim >> &  points,
std::vector< std::vector< Tensor< 1, dim, double >>> &  gradients 
) const
virtualinherited

Set gradients to the gradients of the function at the points, for all components. It is assumed that gradients already has the right size, i.e. the same size as the points array.

The outer loop over gradients is over the points in the list, the inner loop over the different components of the function.

◆ get_formula_of_order()

template<int dim>
AutoDerivativeFunction< dim >::DifferenceFormula AutoDerivativeFunction< dim >::get_formula_of_order ( const unsigned int  ord)
staticinherited

Return a DifferenceFormula of the order ord at minimum.

Definition at line 336 of file auto_derivative_function.cc.

◆ value_list()

virtual void Function< dim, double >::value_list ( const std::vector< Point< dim >> &  points,
std::vector< double > &  values,
const unsigned int  component = 0 
) const
virtualinherited

◆ vector_value_list()

virtual void Function< dim, double >::vector_value_list ( const std::vector< Point< dim >> &  points,
std::vector< Vector< double >> &  values 
) const
virtualinherited

Set values to the point values of the function at the points. It is assumed that values already has the right size, i.e. the same size as the points array, and that all elements be vectors with the same number of components as this function has.

By default, this function repeatedly calls vector_value() for each point separately, to fill the output array.

Reimplemented in Functions::CutOffFunctionCinfty< dim >, Functions::CutOffFunctionC1< dim >, Functions::CutOffFunctionW1< dim >, Functions::CutOffFunctionLinfty< dim >, Functions::SlitSingularityFunction< dim >, Functions::CosineGradFunction< dim >, Functions::CosineFunction< dim >, Functions::FlowFunction< dim >, Functions::FlowFunction< 2 >, and Functions::Q1WedgeFunction< dim >.

◆ vector_values()

virtual void Function< dim, double >::vector_values ( const std::vector< Point< dim >> &  points,
std::vector< std::vector< double >> &  values 
) const
virtualinherited

For each component of the function, fill a vector of values, one for each point.

The default implementation of this function in Function calls value_list() for each component. In order to improve performance, this can be reimplemented in derived classes to speed up performance.

Reimplemented in Functions::StokesCosine< dim >, Functions::PoisseuilleFlow< dim >, Functions::FlowFunction< dim >, and Functions::FlowFunction< 2 >.

◆ vector_gradients()

virtual void Function< dim, double >::vector_gradients ( const std::vector< Point< dim >> &  points,
std::vector< std::vector< Tensor< 1, dim, double >>> &  gradients 
) const
virtualinherited

For each component of the function, fill a vector of gradient values, one for each point.

The default implementation of this function in Function calls value_list() for each component. In order to improve performance, this can be reimplemented in derived classes to speed up performance.

◆ laplacian()

virtual double Function< dim, double >::laplacian ( const Point< dim > &  p,
const unsigned int  component = 0 
) const
virtualinherited

◆ vector_laplacian()

virtual void Function< dim, double >::vector_laplacian ( const Point< dim > &  p,
Vector< double > &  values 
) const
virtualinherited

Compute the Laplacian of all components at point p and store them in values.

◆ laplacian_list()

virtual void Function< dim, double >::laplacian_list ( const std::vector< Point< dim >> &  points,
std::vector< double > &  values,
const unsigned int  component = 0 
) const
virtualinherited

◆ vector_laplacian_list()

virtual void Function< dim, double >::vector_laplacian_list ( const std::vector< Point< dim >> &  points,
std::vector< Vector< double >> &  values 
) const
virtualinherited

Compute the Laplacians of all components at a set of points.

Reimplemented in Functions::FlowFunction< dim >, and Functions::FlowFunction< 2 >.

◆ hessian()

virtual SymmetricTensor<2, dim, double > Function< dim, double >::hessian ( const Point< dim > &  p,
const unsigned int  component = 0 
) const
virtualinherited

Compute the Hessian of a given component at point p, that is the gradient of the gradient of the function.

Reimplemented in Functions::CosineFunction< dim >, Functions::CSpline< dim >, and Functions::Spherical< dim >.

◆ vector_hessian()

virtual void Function< dim, double >::vector_hessian ( const Point< dim > &  p,
std::vector< SymmetricTensor< 2, dim, double >> &  values 
) const
virtualinherited

Compute the Hessian of all components at point p and store them in values.

◆ hessian_list()

virtual void Function< dim, double >::hessian_list ( const std::vector< Point< dim >> &  points,
std::vector< SymmetricTensor< 2, dim, double >> &  values,
const unsigned int  component = 0 
) const
virtualinherited

Compute the Hessian of one component at a set of points.

◆ vector_hessian_list()

virtual void Function< dim, double >::vector_hessian_list ( const std::vector< Point< dim >> &  points,
std::vector< std::vector< SymmetricTensor< 2, dim, double >>> &  values 
) const
virtualinherited

Compute the Hessians of all components at a set of points.

◆ memory_consumption()

std::size_t Function< dim, double >::memory_consumption ( ) const
inherited

Return an estimate for the memory consumption, in bytes, of this object. This is not exact (but will usually be close) because calculating the memory usage of trees (e.g., std::map) is difficult.

◆ get_time()

template<typename Number = double>
Number FunctionTime< Number >::get_time ( ) const
inherited

Return the value of the time variable.

◆ set_time()

template<typename Number = double>
virtual void FunctionTime< Number >::set_time ( const Number  new_time)
virtualinherited

Set the time to new_time, overwriting the old value.

◆ advance_time()

template<typename Number = double>
virtual void FunctionTime< Number >::advance_time ( const Number  delta_t)
virtualinherited

Advance the time by the given time step delta_t.

◆ subscribe()

void Subscriptor::subscribe ( std::atomic< bool > *const  validity,
const std::string &  identifier = "" 
) const
inherited

Subscribes a user of the object by storing the pointer validity. The subscriber may be identified by text supplied as identifier.

Definition at line 136 of file subscriptor.cc.

◆ unsubscribe()

void Subscriptor::unsubscribe ( std::atomic< bool > *const  validity,
const std::string &  identifier = "" 
) const
inherited

Unsubscribes a user from the object.

Note
The identifier and the validity pointer must be the same as the one supplied to subscribe().

Definition at line 156 of file subscriptor.cc.

◆ n_subscriptions()

unsigned int Subscriptor::n_subscriptions ( ) const
inlineinherited

Return the present number of subscriptions to this object. This allows to use this class for reference counted lifetime determination where the last one to unsubscribe also deletes the object.

Definition at line 300 of file subscriptor.h.

◆ list_subscribers() [1/2]

template<typename StreamType >
void Subscriptor::list_subscribers ( StreamType &  stream) const
inlineinherited

List the subscribers to the input stream.

Definition at line 317 of file subscriptor.h.

◆ list_subscribers() [2/2]

void Subscriptor::list_subscribers ( ) const
inherited

List the subscribers to deallog.

Definition at line 204 of file subscriptor.cc.

◆ serialize()

template<class Archive >
void Subscriptor::serialize ( Archive &  ar,
const unsigned int  version 
)
inlineinherited

Read or write the data of this object to or from a stream for the purpose of serialization.

This function does not actually serialize any of the member variables of this class. The reason is that what this class stores is only who subscribes to this object, but who does so at the time of storing the contents of this object does not necessarily have anything to do with who subscribes to the object when it is restored. Consequently, we do not want to overwrite the subscribers at the time of restoring, and then there is no reason to write the subscribers out in the first place.

Definition at line 309 of file subscriptor.h.

Member Data Documentation

◆ vars

template<int dim>
Threads::ThreadLocalStorage<std::vector<double> > FunctionParser< dim >::vars
mutableprivate

Place for the variables for each thread

Definition at line 397 of file function_parser.h.

◆ fp

template<int dim>
Threads::ThreadLocalStorage<std::vector<std::unique_ptr<mu::Parser> > > FunctionParser< dim >::fp
mutableprivate

The muParser objects for each thread (and one for each component). We are storing a unique_ptr so that we don't need to include the definition of mu::Parser in this header.

Definition at line 405 of file function_parser.h.

◆ constants

template<int dim>
std::map<std::string, double> FunctionParser< dim >::constants
private

An array to keep track of all the constants, required to initialize fp in each thread.

Definition at line 411 of file function_parser.h.

◆ var_names

template<int dim>
std::vector<std::string> FunctionParser< dim >::var_names
private

An array for the variable names, required to initialize fp in each thread.

Definition at line 417 of file function_parser.h.

◆ expressions

template<int dim>
std::vector<std::string> FunctionParser< dim >::expressions
private

An array of function expressions (one per component), required to initialize fp in each thread.

Definition at line 433 of file function_parser.h.

◆ initialized

template<int dim>
bool FunctionParser< dim >::initialized
private

State of usability. This variable is checked every time the function is called for evaluation. It's set to true in the initialize() methods.

Definition at line 439 of file function_parser.h.

◆ n_vars

template<int dim>
unsigned int FunctionParser< dim >::n_vars
private

Number of variables. If this is also a function of time, then the number of variables is dim+1, otherwise it is dim. In the case that this is a time dependent function, the time is supposed to be the last variable. If n_vars is not identical to the number of the variables parsed by the initialize() method, then an exception is thrown.

Definition at line 448 of file function_parser.h.

◆ dimension

const unsigned int Function< dim, double >::dimension
staticinherited

Export the value of the template parameter as a static member constant. Sometimes useful for some expression template programming.

Definition at line 159 of file function.h.

◆ n_components

const unsigned int Function< dim, double >::n_components
inherited

Number of vector components.

Definition at line 164 of file function.h.


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