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Reference documentation for deal.II version 9.4.1
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#include <deal.II/base/function_signed_distance.h>
Public Types | |
using | time_type = typename FunctionTime< typename numbers::NumberTraits< RangeNumberType >::real_type >::time_type |
Public Member Functions | |
Ellipsoid (const Point< dim > ¢er, const std::array< double, dim > &radii, const double tolerance=1e-14, const unsigned int max_iter=10) | |
double | value (const Point< dim > &point, const unsigned int component=0) const override |
Tensor< 1, dim > | gradient (const Point< dim > &, const unsigned int component=0) const override |
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_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, RangeNumberType > > &gradients, const unsigned int component=0) const |
virtual void | vector_gradients (const std::vector< Point< dim > > &points, std::vector< std::vector< Tensor< 1, dim, RangeNumberType > > > &gradients) const |
virtual void | vector_gradient_list (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 |
Number | get_time () const |
virtual void | set_time (const Number new_time) |
virtual void | advance_time (const Number delta_t) |
Public Attributes | |
const unsigned int | n_components |
Static Public Attributes | |
static constexpr unsigned int | dimension = dim |
Private Member Functions | |
double | evaluate_ellipsoid (const Point< dim > &point) const |
Point< dim > | compute_closest_point_ellipse (const Point< dim > &point) const |
Tensor< 1, dim, double > | compute_analyical_normal_vector_on_ellipse (const Point< dim > &point) const |
double | compute_signed_distance_ellipse (const Point< dim > &point) const |
Tensor< 1, 2, double > | compute_analyical_normal_vector_on_ellipse (const Point< 2 > &point) const |
double | compute_signed_distance_ellipse (const Point< 2 > &point) const |
Private Attributes | |
const Point< dim > | center |
const std::array< double, dim > | radii |
const double | tolerance |
const unsigned int | max_iter |
Number | time |
Subscriptor functionality | |
Classes derived from Subscriptor provide a facility to subscribe to this object. This is mostly used by the SmartPointer class. | |
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 |
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) |
void | check_no_subscribers () const noexcept |
using | map_value_type = decltype(counter_map)::value_type |
using | map_iterator = decltype(counter_map)::iterator |
static std::mutex | mutex |
static ::ExceptionBase & | ExcInUse (int arg1, std::string arg2, std::string arg3) |
static ::ExceptionBase & | ExcNoSubscriber (std::string arg1, std::string arg2) |
Signed-distance level set function to an ellipsoid defined by:
\[ \sum_{i=1}^{dim} \frac{(x_i - c_i)^2}{R_i^2} = 1 \]
Here, \(c_i\) are the coordinates of the center of the ellipsoid and \(R_i\) are the elliptic radii. This function is zero on the ellipsoid, negative inside the ellipsoid and positive outside the ellipsoid.
Definition at line 144 of file function_signed_distance.h.
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inherited |
The scalar-valued real type used for representing time.
Definition at line 169 of file function.h.
Functions::SignedDistance::Ellipsoid< dim >::Ellipsoid | ( | const Point< dim > & | center, |
const std::array< double, dim > & | radii, | ||
const double | tolerance = 1e-14 , |
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const unsigned int | max_iter = 10 |
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Constructor, takes the center and radii of the ellipsoid.
center | Center of the ellipsoid. |
radii | Array of radii of the ellipsoid. |
tolerance | Tolerance of the distance computation. |
max_iter | Max. number of iteration of the distance computation algorithm. |
Definition at line 134 of file function_signed_distance.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 151 of file function_signed_distance.cc.
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overridevirtual |
Calculates the gradient of the signed distance function via the normal of the closest point on the ellipsoid.
Reimplemented from Function< dim, RangeNumberType >.
Definition at line 171 of file function_signed_distance.cc.
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private |
Evaluates the ellipsoid function:
\[ f(\vec{x}) = \sum_{i=1}^{dim} \frac{(x_i - c_i)^2}{R_i^2} - 1 \]
Definition at line 200 of file function_signed_distance.cc.
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private |
Computes the closest point on the given ellipse for an arbitrary point.
Definition at line 212 of file function_signed_distance.cc.
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private |
Computes the analytical normal vector of a origin centred ellipse at a given point
according to:
/ \ / b x a y \ | n_x , n_y | = | --— , --— | \ / \ a b /
point | [x, y] |
Definition at line 284 of file function_signed_distance.cc.
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private |
Compute the signed distance to a 2D ellipsoid i.e. ellipse.
Definition at line 309 of file function_signed_distance.cc.
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private |
Definition at line 295 of file function_signed_distance.cc.
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private |
Definition at line 319 of file function_signed_distance.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, RangeNumberType >, ComponentSelectFunction< dim, RangeNumberType >, VectorFunctionFromScalarFunctionObject< dim, RangeNumberType >, VectorFunctionFromTensorFunction< dim, RangeNumberType >, Functions::IncrementalFunction< dim, RangeNumberType >, and Functions::FEFieldFunction< dim, VectorType, spacedim >.
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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, RangeNumberType >, and Functions::FEFieldFunction< dim, VectorType, spacedim >.
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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, RangeNumberType >, VectorFunctionFromTensorFunction< dim, RangeNumberType >, ComponentSelectFunction< dim, RangeNumberType >, and Functions::FEFieldFunction< dim, VectorType, spacedim >.
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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 |
Return the gradient of all components of the function at the given point.
Reimplemented in Functions::ConstantFunction< dim, RangeNumberType >, and Functions::FEFieldFunction< dim, VectorType, spacedim >.
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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::FEFieldFunction< dim, VectorType, spacedim >, and Functions::ConstantFunction< dim, RangeNumberType >.
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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 |
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::FEFieldFunction< dim, VectorType, spacedim >, and Functions::ConstantFunction< dim, RangeNumberType >.
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virtualinherited |
Compute the Laplacian of a given component at point p
.
Reimplemented in Functions::CosineGradFunction< dim >, Functions::IdentityFunction< dim, RangeNumberType >, Functions::CSpline< dim >, Functions::SquareFunction< dim >, Functions::Q1WedgeFunction< dim >, Functions::PillowFunction< dim >, Functions::CosineFunction< dim >, Functions::ExpFunction< dim >, Functions::SlitSingularityFunction< dim >, Functions::JumpFunction< dim >, Functions::FourierCosineFunction< dim >, Functions::FourierSineFunction< dim >, Functions::FourierSineSum< dim >, Functions::FourierCosineSum< dim >, Functions::SymbolicFunction< dim, RangeNumberType >, Functions::FEFieldFunction< dim, VectorType, spacedim >, Functions::ConstantFunction< dim, RangeNumberType >, and Functions::ConstantFunction< dim, double >.
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virtualinherited |
Compute the Laplacian of all components at point p
and store them in values
.
Reimplemented in Functions::FEFieldFunction< dim, VectorType, spacedim >.
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virtualinherited |
Compute the Laplacian of one component at a set of points.
Reimplemented in Functions::FEFieldFunction< dim, VectorType, spacedim >.
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virtualinherited |
Compute the Laplacians of all components at a set of points.
Reimplemented in Functions::FEFieldFunction< dim, VectorType, spacedim >.
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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::SignedDistance::Plane< dim >, Functions::IdentityFunction< dim, RangeNumberType >, Functions::CSpline< dim >, Functions::CosineFunction< dim >, Functions::Spherical< dim >, Functions::SymbolicFunction< dim, RangeNumberType >, Functions::CoordinateRestriction< dim >, Functions::ConstantFunction< dim, RangeNumberType >, Functions::ConstantFunction< dim, double >, Functions::SignedDistance::Sphere< dim >, 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 Functions::FlowFunction< dim >, Functions::FlowFunction< 2 >, Functions::ConstantFunction< dim, RangeNumberType >, Functions::ConstantFunction< dim, double >, ComponentSelectFunction< dim, RangeNumberType >, Functions::CSpline< dim >, FunctionDerivative< dim >, Functions::JumpFunction< dim >, Functions::InterpolatedTensorProductGridData< dim >, Functions::InterpolatedUniformGridData< 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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private |
Definition at line 210 of file function_signed_distance.h.
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private |
Definition at line 211 of file function_signed_distance.h.
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private |
Definition at line 212 of file function_signed_distance.h.
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private |
Definition at line 213 of file function_signed_distance.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 159 of file function.h.
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inherited |
Number of vector components.
Definition at line 164 of file function.h.
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privateinherited |
Store the present time.
Definition at line 113 of file function_time.h.