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Reference documentation for deal.II version 9.6.0
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#include <deal.II/base/parsed_function.h>
Public Types | |
enum | DifferenceFormula { Euler , UpwindEuler , FourthOrder } |
using | time_type |
Public Member Functions | |
ParsedFunction (const unsigned int n_components=1, const double h=1e-8) | |
void | parse_parameters (ParameterHandler &prm) |
virtual void | vector_value (const Point< dim > &p, Vector< double > &values) const override |
virtual double | value (const Point< dim > &p, const unsigned int component=0) const override |
virtual void | set_time (const double newtime) override |
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, RangeNumberType > > &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, RangeNumberType > > &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, RangeNumberType > > > &gradients) const |
virtual void | vector_value (const Point< dim > &p, Vector< RangeNumberType > &values) const |
virtual void | value_list (const std::vector< Point< dim > > &points, std::vector< RangeNumberType > &values, const unsigned int component=0) const |
virtual void | vector_value_list (const std::vector< Point< dim > > &points, std::vector< Vector< RangeNumberType > > &values) const |
virtual void | vector_values (const std::vector< Point< dim > > &points, std::vector< std::vector< RangeNumberType > > &values) const |
virtual void | vector_gradients (const std::vector< Point< dim > > &points, std::vector< std::vector< Tensor< 1, dim, RangeNumberType > > > &gradients) const |
virtual RangeNumberType | laplacian (const Point< dim > &p, const unsigned int component=0) const |
virtual void | vector_laplacian (const Point< dim > &p, Vector< RangeNumberType > &values) const |
virtual void | laplacian_list (const std::vector< Point< dim > > &points, std::vector< RangeNumberType > &values, const unsigned int component=0) const |
virtual void | vector_laplacian_list (const std::vector< Point< dim > > &points, std::vector< Vector< RangeNumberType > > &values) const |
virtual SymmetricTensor< 2, dim, RangeNumberType > | hessian (const Point< dim > &p, const unsigned int component=0) const |
virtual void | vector_hessian (const Point< dim > &p, std::vector< SymmetricTensor< 2, dim, RangeNumberType > > &values) const |
virtual void | hessian_list (const std::vector< Point< dim > > &points, std::vector< SymmetricTensor< 2, dim, RangeNumberType > > &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, RangeNumberType > > > &values) const |
virtual std::size_t | memory_consumption () const |
numbers::NumberTraits< double >::real_type | get_time () const |
virtual void | set_time (const numbers::NumberTraits< double >::real_type new_time) |
virtual void | advance_time (const numbers::NumberTraits< double >::real_type 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 void | declare_parameters (ParameterHandler &prm, const unsigned int n_components=1) |
static DifferenceFormula | get_formula_of_order (const unsigned int ord) |
static ::ExceptionBase & | ExcInUse (int arg1, std::string arg2, std::string arg3) |
static ::ExceptionBase & | ExcNoSubscriber (std::string arg1, std::string arg2) |
Public Attributes | |
const unsigned int | n_components |
Static Public Attributes | |
static constexpr unsigned int | dimension = dim |
Private Types | |
using | map_value_type = decltype(counter_map)::value_type |
using | map_iterator = decltype(counter_map)::iterator |
Private Member Functions | |
void | check_no_subscribers () const noexcept |
Private Attributes | |
FunctionParser< dim > | function_object |
double | h |
std::vector< Tensor< 1, dim > > | ht |
DifferenceFormula | formula |
numbers::NumberTraits< double >::real_type | time |
std::atomic< unsigned int > | counter |
std::map< std::string, unsigned int > | counter_map |
std::vector< std::atomic< bool > * > | validity_pointers |
const std::type_info * | object_info |
Static Private Attributes | |
static std::mutex | mutex |
Friendly interface to the FunctionParser class. This class is meant as a wrapper for the FunctionParser class. It is used in the step-34 and step-86 tutorial programs.
It provides two methods to declare and parse a ParameterHandler object and creates the Function object declared in the parameter file. This class is derived from the AutoDerivativeFunction class, so you don't need to specify derivatives. An example of usage of this class is as follows:
And here is an example of how the input parameter could look like (see the documentation of the FunctionParser class for a detailed description of the syntax of the function definition):
Definition at line 82 of file parsed_function.h.
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inherited |
The scalar-valued real type used for representing time.
Definition at line 168 of file function.h.
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privateinherited |
The data type used in counter_map.
Definition at line 229 of file subscriptor.h.
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privateinherited |
The iterator type used in counter_map.
Definition at line 234 of file subscriptor.h.
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inherited |
Names of difference formulas.
Definition at line 87 of file auto_derivative_function.h.
Functions::ParsedFunction< dim >::ParsedFunction | ( | const unsigned int | n_components = 1, |
const double | h = 1e-8 ) |
Construct a vector function. The vector function which is generated has n_components
components (defaults to 1). The parameter h
is used to initialize the AutoDerivativeFunction class from which this class is derived.
Definition at line 24 of file parsed_function.cc.
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static |
Declare parameters needed by this class. The additional parameter n_components
is used to generate the right code according to the number of components of the function that will parse this ParameterHandler. If the number of components which is parsed does not match the number of components of this object, an assertion is thrown and the program is aborted. The default behavior for this class is to declare the following entries:
Definition at line 34 of file parsed_function.cc.
void Functions::ParsedFunction< dim >::parse_parameters | ( | ParameterHandler & | prm | ) |
Parse parameters needed by this class. If the number of components which is parsed does not match the number of components of this object, an assertion is thrown and the program is aborted. In order for the class to function properly, we follow the same conventions declared in the FunctionParser class (look there for a detailed description of the syntax for function declarations).
The three variables that can be parsed from a parameter file are the following:
Function constants is a collection of pairs in the form name=value, separated by commas, for example:
These constants can be used in the declaration of the function expression, which follows the convention of the FunctionParser class. In order to specify vector functions, semicolons have to be used to separate the different components, e.g.:
The variable names entry can be used to customize the name of the variables used in the Function. It defaults to
for one dimensional problems,
for two dimensional problems and
for three dimensional problems.
The time variable can be set according to specifications in the FunctionTime base class.
Definition at line 113 of file parsed_function.cc.
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overridevirtual |
Return all components of a vector-valued function at the given point p
.
Definition at line 165 of file parsed_function.cc.
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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, RangeNumberType >.
Definition at line 175 of file parsed_function.cc.
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overridevirtual |
Set the time to a specific value for time-dependent functions.
We need to overwrite this to set the time also in the accessor FunctionParser<dim>.
Definition at line 184 of file parsed_function.cc.
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inherited |
Choose the difference formula. See the enum DifferenceFormula for available choices.
Definition at line 42 of file auto_derivative_function.cc.
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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 64 of file auto_derivative_function.cc.
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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, RangeNumberType >.
Definition at line 74 of file auto_derivative_function.cc.
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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 126 of file auto_derivative_function.cc.
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virtualinherited |
Return the gradient of all components of the function at the given point.
Reimplemented in Functions::ConstantFunction< dim, double >.
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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 203 of file auto_derivative_function.cc.
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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.
Reimplemented in Functions::ConstantFunction< dim, double >.
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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 267 of file auto_derivative_function.cc.
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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.
Reimplemented in Functions::ConstantFunction< dim, double >.
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staticinherited |
Return a DifferenceFormula of the order ord
at minimum.
Definition at line 335 of file auto_derivative_function.cc.
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virtualinherited |
Return all components of a vector-valued function at a given point.
values
shall have the right size beforehand, i.e. n_components.
The default implementation will call value() for each component.
Reimplemented in Functions::ConstantFunction< dim, double >.
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virtualinherited |
Set values
to the point values of the specified component 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.
By default, this function repeatedly calls value() for each point separately, to fill the output array.
Reimplemented in Functions::ConstantFunction< dim, double >.
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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::ConstantFunction< dim, double >.
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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.
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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.
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virtualinherited |
Compute the Laplacian of a given component at point p
.
Reimplemented in Functions::ConstantFunction< dim, RangeNumberType >, Functions::ConstantFunction< dim, double >, Functions::CosineFunction< dim >, Functions::CosineGradFunction< dim >, Functions::CSpline< dim >, Functions::ExpFunction< dim >, Functions::FEFieldFunction< dim, VectorType, spacedim >, Functions::FourierCosineFunction< dim >, Functions::FourierCosineSum< dim >, Functions::FourierSineFunction< dim >, Functions::FourierSineSum< dim >, Functions::IdentityFunction< dim, RangeNumberType >, Functions::JumpFunction< dim >, Functions::PillowFunction< dim >, Functions::Q1WedgeFunction< dim >, Functions::SlitSingularityFunction< dim >, Functions::SquareFunction< dim >, and Functions::SymbolicFunction< dim, RangeNumberType >.
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virtualinherited |
Compute the Laplacian of all components at point p
and store them in values
.
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virtualinherited |
Compute the Laplacian of one component at a set of points.
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virtualinherited |
Compute the Laplacians of all components at a set of points.
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virtualinherited |
Compute the Hessian of a given component at point p
, that is the gradient of the gradient of the function.
Reimplemented in Functions::ConstantFunction< dim, RangeNumberType >, Functions::ConstantFunction< dim, double >, Functions::CoordinateRestriction< dim >, Functions::CosineFunction< dim >, Functions::CSpline< dim >, Functions::IdentityFunction< dim, RangeNumberType >, Functions::SignedDistance::Plane< dim >, Functions::SignedDistance::Sphere< dim >, Functions::Spherical< dim >, Functions::SymbolicFunction< dim, RangeNumberType >, and NonMatching::internal::DiscreteQuadratureGeneratorImplementation::RefSpaceFEFieldFunction< dim, VectorType >.
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virtualinherited |
Compute the Hessian of all components at point p
and store them in values
.
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virtualinherited |
Compute the Hessian of one component at a set of points.
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virtualinherited |
Compute the Hessians of all components at a set of points.
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virtualinherited |
Return an estimate for the memory consumption, in bytes, of this object.
This function is virtual and can be overloaded by derived classes.
Reimplemented in ComponentSelectFunction< dim, RangeNumberType >, FunctionDerivative< dim >, Functions::ConstantFunction< dim, RangeNumberType >, Functions::ConstantFunction< dim, double >, Functions::CSpline< dim >, Functions::FlowFunction< dim >, Functions::FlowFunction< 2 >, Functions::InterpolatedTensorProductGridData< dim >, Functions::InterpolatedUniformGridData< dim >, Functions::JumpFunction< dim >, Functions::Polynomial< dim >, and Functions::Spherical< dim >.
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inherited |
Return the value of the time variable.
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virtualinherited |
Set the time to new_time
, overwriting the old value.
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virtualinherited |
Advance the time by the given time step delta_t
.
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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 135 of file subscriptor.cc.
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inherited |
Unsubscribes a user from the object.
identifier
and the validity
pointer must be the same as the one supplied to subscribe(). Definition at line 155 of file subscriptor.cc.
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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.
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inlineinherited |
List the subscribers to the input stream
.
Definition at line 317 of file subscriptor.h.
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inherited |
List the subscribers to deallog
.
Definition at line 203 of file subscriptor.cc.
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inlineinherited |
Read or write the data of this object to or from a stream for the purpose of serialization using the BOOST serialization library.
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.
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privatenoexceptinherited |
Check that there are no objects subscribing to this object. If this check passes then it is safe to destroy the current object. It this check fails then this function will either abort or print an error message to deallog (by using the AssertNothrow mechanism), but will not throw an exception.
Definition at line 52 of file subscriptor.cc.
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private |
The object with which we do computations.
Definition at line 215 of file parsed_function.h.
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privateinherited |
Step size of the difference formula. Set by the set_h() function.
Definition at line 222 of file auto_derivative_function.h.
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privateinherited |
Includes the unit vectors scaled by h
.
Definition at line 227 of file auto_derivative_function.h.
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privateinherited |
Difference formula. Set by the set_formula() function.
Definition at line 232 of file auto_derivative_function.h.
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staticconstexprinherited |
Export the value of the template parameter as a static member constant. Sometimes useful for some expression template programming.
Definition at line 158 of file function.h.
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inherited |
Number of vector components.
Definition at line 163 of file function.h.
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privateinherited |
Store the present time.
Definition at line 112 of file function_time.h.
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mutableprivateinherited |
Store the number of objects which subscribed to this object. Initially, this number is zero, and upon destruction it shall be zero again (i.e. all objects which subscribed should have unsubscribed again).
The creator (and owner) of an object is counted in the map below if HE manages to supply identification.
We use the mutable
keyword in order to allow subscription to constant objects also.
This counter may be read from and written to concurrently in multithreaded code: hence we use the std::atomic
class template.
Definition at line 218 of file subscriptor.h.
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mutableprivateinherited |
In this map, we count subscriptions for each different identification string supplied to subscribe().
Definition at line 224 of file subscriptor.h.
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mutableprivateinherited |
In this vector, we store pointers to the validity bool in the SmartPointer objects that subscribe to this class.
Definition at line 240 of file subscriptor.h.
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mutableprivateinherited |
Pointer to the typeinfo object of this object, from which we can later deduce the class name. Since this information on the derived class is neither available in the destructor, nor in the constructor, we obtain it in between and store it here.
Definition at line 248 of file subscriptor.h.
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staticprivateinherited |
A mutex used to ensure data consistency when accessing the mutable
members of this class. This lock is used in the subscribe() and unsubscribe() functions, as well as in list_subscribers()
.
Definition at line 271 of file subscriptor.h.