Reference documentation for deal.II version Git f09805cc1d 2021-10-18 06:49:49 +0200
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function_spherical.h
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1 // ---------------------------------------------------------------------
2 //
3 // Copyright (C) 2016 - 2020 by the deal.II authors
4 //
5 // This file is part of the deal.II library.
6 //
7 // The deal.II library is free software; you can use it, redistribute
8 // it, and/or modify it under the terms of the GNU Lesser General
9 // Public License as published by the Free Software Foundation; either
10 // version 2.1 of the License, or (at your option) any later version.
11 // The full text of the license can be found in the file LICENSE.md at
12 // the top level directory of deal.II.
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14 // ---------------------------------------------------------------------
15 
16 #ifndef dealii_function_spherical_h
17 #define dealii_function_spherical_h
18 
19 #include <deal.II/base/config.h>
20 
21 #include <deal.II/base/function.h>
22 #include <deal.II/base/point.h>
23 
24 #include <array>
25 
27 
28 namespace Functions
29 {
43  template <int dim>
44  class Spherical : public Function<dim>
45  {
46  public:
56  const unsigned int n_components = 1);
57 
64  virtual double
65  value(const Point<dim> & point,
66  const unsigned int component = 0) const override;
67 
75  virtual Tensor<1, dim>
76  gradient(const Point<dim> & p,
77  const unsigned int component = 0) const override;
78 
87  hessian(const Point<dim> & p,
88  const unsigned int component = 0) const override;
89 
93  virtual std::size_t
94  memory_consumption() const override;
95 
96  private:
101  virtual double
102  svalue(const std::array<double, dim> &sp,
103  const unsigned int component) const;
104 
111  virtual std::array<double, dim>
112  sgradient(const std::array<double, dim> &sp,
113  const unsigned int component) const;
114 
122  virtual std::array<double, 6>
123  shessian(const std::array<double, dim> &sp,
124  const unsigned int component) const;
125 
130  };
131 } // namespace Functions
132 
134 
135 #endif
const unsigned int n_components
Definition: function.h:164
virtual double value(const Point< dim > &point, const unsigned int component=0) const override
virtual std::array< double, 6 > shessian(const std::array< double, dim > &sp, const unsigned int component) const
Spherical(const Point< dim > &center=Point< dim >(), const unsigned int n_components=1)
virtual std::array< double, dim > sgradient(const std::array< double, dim > &sp, const unsigned int component) const
virtual SymmetricTensor< 2, dim > hessian(const Point< dim > &p, const unsigned int component=0) const override
virtual double svalue(const std::array< double, dim > &sp, const unsigned int component) const
virtual Tensor< 1, dim > gradient(const Point< dim > &p, const unsigned int component=0) const override
const Tensor< 1, dim > coordinate_system_offset
#define DEAL_II_NAMESPACE_CLOSE
Definition: config.h:401
Point< spacedim > point(const gp_Pnt &p, const double tolerance=1e-10)
Definition: utilities.cc:185
virtual std::size_t memory_consumption() const override
#define DEAL_II_NAMESPACE_OPEN
Definition: config.h:400
Point< 3 > center