Reference documentation for deal.II version 9.2.0
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function_spherical.h
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4 //
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12 // the top level directory of deal.II.
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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 {
44  template <int dim>
45  class Spherical : public Function<dim>
46  {
47  public:
57  const unsigned int n_components = 1);
58 
65  virtual double
66  value(const Point<dim> & point,
67  const unsigned int component = 0) const override;
68 
76  virtual Tensor<1, dim>
77  gradient(const Point<dim> & p,
78  const unsigned int component = 0) const override;
79 
88  hessian(const Point<dim> & p,
89  const unsigned int component = 0) const override;
90 
91  std::size_t
92  memory_consumption() const;
93 
94  private:
99  virtual double
100  svalue(const std::array<double, dim> &sp,
101  const unsigned int component) const;
102 
109  virtual std::array<double, dim>
110  sgradient(const std::array<double, dim> &sp,
111  const unsigned int component) const;
112 
120  virtual std::array<double, 6>
121  shessian(const std::array<double, dim> &sp,
122  const unsigned int component) const;
123 
128  };
129 } // namespace Functions
130 
132 
133 #endif
Functions::Spherical::Spherical
Spherical(const Point< dim > &center=Point< dim >(), const unsigned int n_components=1)
Definition: function_spherical.cc:156
Functions
Definition: flow_function.h:28
SymmetricTensor< 2, dim >
Functions::Spherical::gradient
virtual Tensor< 1, dim > gradient(const Point< dim > &p, const unsigned int component=0) const override
Definition: function_spherical.cc:181
Function< dim >::n_components
const unsigned int n_components
Definition: function.h:165
Functions::Spherical::value
virtual double value(const Point< dim > &point, const unsigned int component=0) const override
Definition: function_spherical.cc:168
OpenCASCADE::point
Point< spacedim > point(const gp_Pnt &p, const double tolerance=1e-10)
Definition: utilities.cc:188
Tensor< 1, dim >
DEAL_II_NAMESPACE_OPEN
#define DEAL_II_NAMESPACE_OPEN
Definition: config.h:358
Functions::Spherical::svalue
virtual double svalue(const std::array< double, dim > &sp, const unsigned int component) const
Definition: function_spherical.cc:317
Functions::Spherical::coordinate_system_offset
const Tensor< 1, dim > coordinate_system_offset
Definition: function_spherical.h:127
Functions::Spherical::hessian
virtual SymmetricTensor< 2, dim > hessian(const Point< dim > &p, const unsigned int component=0) const override
Definition: function_spherical.cc:237
Functions::Spherical::shessian
virtual std::array< double, 6 > shessian(const std::array< double, dim > &sp, const unsigned int component) const
Definition: function_spherical.cc:339
function.h
Functions::Spherical
Definition: function_spherical.h:45
Point< dim >
Functions::Spherical::sgradient
virtual std::array< double, dim > sgradient(const std::array< double, dim > &sp, const unsigned int component) const
Definition: function_spherical.cc:328
config.h
Function
Definition: function.h:151
DEAL_II_NAMESPACE_CLOSE
#define DEAL_II_NAMESPACE_CLOSE
Definition: config.h:359
Functions::Spherical::memory_consumption
std::size_t memory_consumption() const
Definition: function_spherical.cc:308
center
Point< 3 > center
Definition: data_out_base.cc:169
point.h