Reference documentation for deal.II version Git d51799cb54 2020-09-28 09:22:08 +0200
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function.h
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4 //
5 // This file is part of the deal.II library.
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12 // the top level directory of deal.II.
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15 
16 #ifndef dealii_function_h
17 #define dealii_function_h
18 
19 
20 #include <deal.II/base/config.h>
21 
24 #include <deal.II/base/point.h>
27 #include <deal.II/base/tensor.h>
28 
29 #include <functional>
30 #include <vector>
31 
33 
34 // Forward declarations
35 #ifndef DOXYGEN
36 template <typename number>
37 class Vector;
38 template <int rank, int dim, typename Number>
39 class TensorFunction;
40 #endif
41 
149 template <int dim, typename RangeNumberType = double>
150 class Function : public FunctionTime<
151  typename numbers::NumberTraits<RangeNumberType>::real_type>,
152  public Subscriptor
153 {
154 public:
159  static const unsigned int dimension = dim;
160 
164  const unsigned int n_components;
165 
169  using time_type = typename FunctionTime<
171 
177  Function(const unsigned int n_components = 1,
178  const time_type initial_time = 0.0);
179 
183  Function(const Function &f) = default;
184 
206  virtual ~Function() override = 0;
207 
214  Function &
215  operator=(const Function &f);
216 
223  virtual RangeNumberType
224  value(const Point<dim> &p, const unsigned int component = 0) const;
225 
233  virtual void
235 
245  virtual void
246  value_list(const std::vector<Point<dim>> &points,
247  std::vector<RangeNumberType> & values,
248  const unsigned int component = 0) const;
249 
260  virtual void
261  vector_value_list(const std::vector<Point<dim>> & points,
262  std::vector<Vector<RangeNumberType>> &values) const;
263 
272  virtual void
273  vector_values(const std::vector<Point<dim>> & points,
274  std::vector<std::vector<RangeNumberType>> &values) const;
275 
281  gradient(const Point<dim> &p, const unsigned int component = 0) const;
282 
286  virtual void
288  const Point<dim> & p,
289  std::vector<Tensor<1, dim, RangeNumberType>> &gradients) const;
290 
297  virtual void
298  gradient_list(const std::vector<Point<dim>> & points,
300  const unsigned int component = 0) const;
301 
310  virtual void
312  const std::vector<Point<dim>> & points,
313  std::vector<std::vector<Tensor<1, dim, RangeNumberType>>> &gradients) const;
314 
324  virtual void
326  const std::vector<Point<dim>> & points,
327  std::vector<std::vector<Tensor<1, dim, RangeNumberType>>> &gradients) const;
328 
332  virtual RangeNumberType
333  laplacian(const Point<dim> &p, const unsigned int component = 0) const;
334 
339  virtual void
341 
345  virtual void
346  laplacian_list(const std::vector<Point<dim>> &points,
347  std::vector<RangeNumberType> & values,
348  const unsigned int component = 0) const;
349 
353  virtual void
354  vector_laplacian_list(const std::vector<Point<dim>> & points,
355  std::vector<Vector<RangeNumberType>> &values) const;
356 
362  hessian(const Point<dim> &p, const unsigned int component = 0) const;
363 
368  virtual void
370  const Point<dim> & p,
372 
376  virtual void
377  hessian_list(const std::vector<Point<dim>> & points,
379  const unsigned int component = 0) const;
380 
384  virtual void
386  const std::vector<Point<dim>> & points,
387  std::vector<std::vector<SymmetricTensor<2, dim, RangeNumberType>>> &values)
388  const;
389 
390 
396  std::size_t
397  memory_consumption() const;
398 };
399 
400 
401 namespace Functions
402 {
409  template <int dim, typename RangeNumberType = double>
410  class ConstantFunction : public Function<dim, RangeNumberType>
411  {
412  public:
417  ConstantFunction(const RangeNumberType value,
418  const unsigned int n_components = 1);
419 
425  ConstantFunction(const std::vector<RangeNumberType> &values);
426 
433 
438  ConstantFunction(const RangeNumberType *begin_ptr,
439  const unsigned int n_components);
440 
441  virtual RangeNumberType
442  value(const Point<dim> &p, const unsigned int component = 0) const override;
443 
444  virtual void
445  vector_value(const Point<dim> & p,
446  Vector<RangeNumberType> &return_value) const override;
447 
448  virtual void
449  value_list(const std::vector<Point<dim>> &points,
450  std::vector<RangeNumberType> & return_values,
451  const unsigned int component = 0) const override;
452 
453  virtual void
455  const std::vector<Point<dim>> & points,
456  std::vector<Vector<RangeNumberType>> &return_values) const override;
457 
459  gradient(const Point<dim> & p,
460  const unsigned int component = 0) const override;
461 
462  virtual void
464  const Point<dim> & p,
465  std::vector<Tensor<1, dim, RangeNumberType>> &gradients) const override;
466 
467  virtual void
468  gradient_list(const std::vector<Point<dim>> & points,
470  const unsigned int component = 0) const override;
471 
472  virtual void
474  const std::vector<Point<dim>> & points,
475  std::vector<std::vector<Tensor<1, dim, RangeNumberType>>> &gradients)
476  const override;
477 
479  hessian(const Point<dim> & point,
480  const unsigned int component = 0) const override;
481 
482  virtual RangeNumberType
483  laplacian(const Point<dim> & point,
484  const unsigned int component = 0) const override;
485 
486  std::size_t
487  memory_consumption() const;
488 
489  protected:
493  std::vector<RangeNumberType> function_value_vector;
494  };
495 
496 
497 
509  template <int dim, typename RangeNumberType = double>
510  class ZeroFunction : public ConstantFunction<dim, RangeNumberType>
511  {
512  public:
516  ZeroFunction(const unsigned int n_components = 1);
517  };
518 
519 } // namespace Functions
520 
521 
522 
536 template <int dim, typename RangeNumberType = double>
538  : public Functions::ConstantFunction<dim, RangeNumberType>
539 {
540 public:
546  ComponentSelectFunction(const unsigned int selected,
547  const RangeNumberType value,
548  const unsigned int n_components);
549 
554  ComponentSelectFunction(const unsigned int selected,
555  const unsigned int n_components);
556 
564  ComponentSelectFunction(const std::pair<unsigned int, unsigned int> &selected,
565  const unsigned int n_components);
566 
567 
581  virtual void
582  substitute_function_value_with(
584 
588  virtual void
589  vector_value(const Point<dim> & p,
590  Vector<RangeNumberType> &return_value) const override;
591 
598  virtual void
600  const std::vector<Point<dim>> & points,
601  std::vector<Vector<RangeNumberType>> &values) const override;
602 
608  std::size_t
609  memory_consumption() const;
610 
611 protected:
615  const std::pair<unsigned int, unsigned int> selected_components;
616 };
617 
618 
619 
703 template <int dim, typename RangeNumberType = double>
704 class ScalarFunctionFromFunctionObject : public Function<dim, RangeNumberType>
705 {
706 public:
713  const std::function<RangeNumberType(const Point<dim> &)> &function_object);
714 
719  virtual RangeNumberType
720  value(const Point<dim> &p, const unsigned int component = 0) const override;
721 
722 private:
727  const std::function<RangeNumberType(const Point<dim> &)> function_object;
728 };
729 
730 
731 
770 template <int dim, typename RangeNumberType = double>
772  : public Function<dim, RangeNumberType>
773 {
774 public:
788  const std::function<RangeNumberType(const Point<dim> &)> &function_object,
789  const unsigned int selected_component,
790  const unsigned int n_components);
791 
796  virtual RangeNumberType
797  value(const Point<dim> &p, const unsigned int component = 0) const override;
798 
804  virtual void
805  vector_value(const Point<dim> & p,
806  Vector<RangeNumberType> &values) const override;
807 
808 private:
813  const std::function<RangeNumberType(const Point<dim> &)> function_object;
814 
819  const unsigned int selected_component;
820 };
821 
822 
858 template <int dim, typename RangeNumberType = double>
859 class FunctionFromFunctionObjects : public Function<dim, RangeNumberType>
860 {
861 public:
870  explicit FunctionFromFunctionObjects(const unsigned int n_components = 1,
871  const double initial_time = 0);
872 
882  const std::vector<std::function<RangeNumberType(const Point<dim> &)>>
883  & values,
884  const double initial_time = 0.0);
885 
895  const std::vector<std::function<RangeNumberType(const Point<dim> &)>>
896  &values,
897  const std::vector<
898  std::function<Tensor<1, dim, RangeNumberType>(const Point<dim> &)>>
899  & gradients,
900  const double initial_time = 0.0);
901 
902 
909  virtual RangeNumberType
910  value(const Point<dim> &p, const unsigned int component = 0) const override;
911 
919  gradient(const Point<dim> & p,
920  const unsigned int component = 0) const override;
921 
927  void
928  set_function_values(
929  const std::vector<std::function<RangeNumberType(const Point<dim> &)>>
930  &values);
931 
937  void
938  set_function_gradients(
939  const std::vector<
940  std::function<Tensor<1, dim, RangeNumberType>(const Point<dim> &)>>
941  &gradients);
942 
943 private:
947  std::vector<std::function<RangeNumberType(const Point<dim> &)>>
948  function_values;
949 
953  std::vector<
954  std::function<Tensor<1, dim, RangeNumberType>(const Point<dim> &)>>
955  function_gradients;
956 };
957 
958 
994 template <int dim, typename RangeNumberType = double>
995 class VectorFunctionFromTensorFunction : public Function<dim, RangeNumberType>
996 {
997 public:
1015  const TensorFunction<1, dim, RangeNumberType> &tensor_function,
1016  const unsigned int selected_component = 0,
1017  const unsigned int n_components = dim);
1018 
1023  virtual ~VectorFunctionFromTensorFunction() override = default;
1024 
1028  virtual RangeNumberType
1029  value(const Point<dim> &p, const unsigned int component = 0) const override;
1030 
1036  virtual void
1037  vector_value(const Point<dim> & p,
1038  Vector<RangeNumberType> &values) const override;
1039 
1047  virtual void
1049  const std::vector<Point<dim>> & points,
1050  std::vector<Vector<RangeNumberType>> &value_list) const override;
1051 
1052 private:
1058 
1065  const unsigned int selected_component;
1066 };
1067 
1068 
1069 #ifndef DOXYGEN
1070 // icc 2018 complains about an undefined reference
1071 // if we put this in the templates.h file
1072 //
1073 // The destructor is pure virtual so we can't default it
1074 // in the declaration.
1075 template <int dim, typename RangeNumberType>
1077 #endif
1078 
1079 
1081 
1082 #endif
Function(const unsigned int n_components=1, const time_type initial_time=0.0)
const unsigned int n_components
Definition: function.h:164
virtual void vector_hessian_list(const std::vector< Point< dim >> &points, std::vector< std::vector< SymmetricTensor< 2, dim, RangeNumberType >>> &values) const
virtual void vector_gradient_list(const std::vector< Point< dim >> &points, std::vector< std::vector< Tensor< 1, dim, RangeNumberType >>> &gradients) const
static const unsigned int dimension
Definition: function.h:159
virtual void vector_laplacian(const Point< dim > &p, Vector< RangeNumberType > &values) const
virtual void vector_hessian(const Point< dim > &p, std::vector< SymmetricTensor< 2, dim, RangeNumberType >> &values) const
virtual void vector_gradients(const std::vector< Point< dim >> &points, std::vector< std::vector< Tensor< 1, dim, RangeNumberType >>> &gradients) const
Function & operator=(const Function &f)
typename FunctionTime< typename numbers::NumberTraits< RangeNumberType >::real_type >::time_type time_type
Definition: function.h:170
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 SymmetricTensor< 2, dim, RangeNumberType > hessian(const Point< dim > &p, const unsigned int component=0) const
#define DEAL_II_NAMESPACE_CLOSE
Definition: config.h:363
virtual void vector_value(const Point< dim > &p, Vector< RangeNumberType > &values) const
Point< spacedim > point(const gp_Pnt &p, const double tolerance=1e-10)
Definition: utilities.cc:188
virtual void hessian_list(const std::vector< Point< dim >> &points, std::vector< SymmetricTensor< 2, dim, RangeNumberType >> &values, const unsigned int component=0) const
const TensorFunction< 1, dim, RangeNumberType > & tensor_function
Definition: function.h:1057
virtual void vector_laplacian_list(const std::vector< Point< dim >> &points, std::vector< Vector< RangeNumberType >> &values) const
virtual Tensor< 1, dim, RangeNumberType > gradient(const Point< dim > &p, const unsigned int component=0) const
Number time_type
const std::pair< unsigned int, unsigned int > selected_components
Definition: function.h:615
virtual RangeNumberType laplacian(const Point< dim > &p, const unsigned int component=0) const
Definition: tensor.h:448
#define DEAL_II_NAMESPACE_OPEN
Definition: config.h:362
virtual void value_list(const std::vector< Point< dim >> &points, std::vector< RangeNumberType > &values, const unsigned int component=0) const
virtual ~Function() override=0
const unsigned int selected_component
Definition: function.h:1065
const unsigned int selected_component
Definition: function.h:819
virtual RangeNumberType value(const Point< dim > &p, const unsigned int component=0) const
std::size_t memory_consumption() const
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(const Point< dim > &p, std::vector< Tensor< 1, dim, RangeNumberType >> &gradients) const
std::vector< RangeNumberType > function_value_vector
Definition: function.h:493
virtual void laplacian_list(const std::vector< Point< dim >> &points, std::vector< RangeNumberType > &values, const unsigned int component=0) const