Reference documentation for deal.II version 9.2.0
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#include <deal.II/base/tensor_function.h>
Public Types | |
using | value_type = Tensor< rank, dim, Number > |
using | gradient_type = Tensor< rank+1, dim, Number > |
using | time_type = typename FunctionTime< typename numbers::NumberTraits< Number >::real_type >::time_type |
Public Types inherited from FunctionTime< numbers::NumberTraits< double >::real_type > | |
using | time_type = numbers::NumberTraits< double >::real_type |
Public Member Functions | |
TensorFunction (const time_type initial_time=time_type(0.0)) | |
virtual | ~TensorFunction () override=default |
virtual value_type | value (const Point< dim > &p) const |
virtual void | value_list (const std::vector< Point< dim >> &points, std::vector< value_type > &values) const |
virtual gradient_type | gradient (const Point< dim > &p) const |
virtual void | gradient_list (const std::vector< Point< dim >> &points, std::vector< gradient_type > &gradients) const |
Public Member Functions inherited from FunctionTime< numbers::NumberTraits< double >::real_type > | |
FunctionTime (const numbers::NumberTraits< double >::real_type initial_time=numbers::NumberTraits< double >::real_type(0.0)) | |
virtual | ~FunctionTime ()=default |
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) |
Public Member Functions inherited from Subscriptor | |
Subscriptor () | |
Subscriptor (const Subscriptor &) | |
Subscriptor (Subscriptor &&) noexcept | |
virtual | ~Subscriptor () |
Subscriptor & | operator= (const Subscriptor &) |
Subscriptor & | operator= (Subscriptor &&) noexcept |
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 |
template<class Archive > | |
void | serialize (Archive &ar, const unsigned int version) |
Additional Inherited Members | |
Static Public Member Functions inherited from Subscriptor | |
static ::ExceptionBase & | ExcInUse (int arg1, std::string arg2, std::string arg3) |
static ::ExceptionBase & | ExcNoSubscriber (std::string arg1, std::string arg2) |
This class is a model for a tensor valued function. The interface of the class is mostly the same as that for the Function class, with the exception that it does not support vector-valued functions with several components, but that the return type is always tensor-valued. The returned values of the evaluation of objects of this type are always whole tensors, while for the Function
class, one can ask for a specific component only, or use the vector_value
function, which however does not return the value, but rather writes it into the address provided by its second argument. The reason for the different behaviour of the classes is that in the case of tensor valued functions, the size of the argument is known to the compiler a priori, such that the correct amount of memory can be allocated on the stack for the return value; on the other hand, for the vector valued functions, the size is not known to the compiler, so memory has to be allocated on the heap, resulting in relatively expensive copy operations. One can therefore consider this class a specialization of the Function
class for which the size is known. An additional benefit is that tensors of arbitrary rank can be returned, not only vectors, as for them the size can be determined similarly simply.
Definition at line 57 of file tensor_function.h.
using TensorFunction< rank, dim, Number >::value_type = Tensor<rank, dim, Number> |
Alias for the return types of the value
function.
Definition at line 65 of file tensor_function.h.
using TensorFunction< rank, dim, Number >::gradient_type = Tensor<rank + 1, dim, Number> |
Alias for the return types of the gradient
functions.
Definition at line 70 of file tensor_function.h.
using TensorFunction< rank, dim, Number >::time_type = typename FunctionTime< typename numbers::NumberTraits<Number>::real_type>::time_type |
The scalar-valued real type used for representing time.
Definition at line 76 of file tensor_function.h.
TensorFunction< rank, dim, Number >::TensorFunction | ( | const time_type | initial_time = time_type(0.0) | ) |
Constructor. May take an initial value for the time variable, which defaults to zero.
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overridevirtualdefault |
Virtual destructor; absolutely necessary in this case, as classes are usually not used by their true type, but rather through pointers to this base class.
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virtual |
Return the value of the function at the given point.
Reimplemented in TensorFunctionParser< rank, dim, Number >, ConstantTensorFunction< rank, dim, Number >, and ConstantTensorFunction< rank, dim, double >.
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virtual |
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.
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virtual |
Return the gradient of the function at the given point.
Reimplemented in ConstantTensorFunction< rank, dim, Number >, and ConstantTensorFunction< rank, dim, double >.
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virtual |
Set gradients
to the gradients 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.