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The SKIRT project
advanced radiative transfer for astrophysics
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The SKIRT project
advanced radiative transfer for astrophysics
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#include <UniformSmoothingKernel.hpp>
Public Member Functions | |
| double | columnDensity (double q) const override |
| double | density (double u) const override |
| double | generateRadius () const override |
| virtual double | columnDensity (double q) const =0 |
| virtual double | density (double u) const =0 |
| virtual double | generateRadius () const =0 |
 Public Member Functions inherited from SimulationItem | |
| template<class T > | |
| T * | find (bool setup=true) const |
| template<class T > | |
| T * | interface (int levels=-999999, bool setup=true) const |
| virtual string | itemName () const |
| void | setup () |
| string | typeAndName () const |
| Public Member Functions inherited from Item | |
| Item (const Item &)=delete | |
| virtual | ~Item () |
| void | addChild (Item *child) |
| const vector< Item * > & | children () const |
| virtual void | clearItemListProperty (const PropertyDef *property) |
| void | destroyChild (Item *child) |
| virtual bool | getBoolProperty (const PropertyDef *property) const |
| virtual vector< double > | getDoubleListProperty (const PropertyDef *property) const |
| virtual double | getDoubleProperty (const PropertyDef *property) const |
| virtual string | getEnumProperty (const PropertyDef *property) const |
| virtual int | getIntProperty (const PropertyDef *property) const |
| virtual vector< Item * > | getItemListProperty (const PropertyDef *property) const |
| virtual Item * | getItemProperty (const PropertyDef *property) const |
| virtual string | getStringProperty (const PropertyDef *property) const |
| int | getUtilityProperty (string name) const |
| virtual void | insertIntoItemListProperty (const PropertyDef *property, int index, Item *item) |
| Item & | operator= (const Item &)=delete |
| Item * | parent () const |
| virtual void | removeFromItemListProperty (const PropertyDef *property, int index) |
| virtual void | setBoolProperty (const PropertyDef *property, bool value) |
| virtual void | setDoubleListProperty (const PropertyDef *property, vector< double > value) |
| virtual void | setDoubleProperty (const PropertyDef *property, double value) |
| virtual void | setEnumProperty (const PropertyDef *property, string value) |
| virtual void | setIntProperty (const PropertyDef *property, int value) |
| virtual void | setItemProperty (const PropertyDef *property, Item *item) |
| virtual void | setStringProperty (const PropertyDef *property, string value) |
| void | setUtilityProperty (string name, int value) |
| virtual string | type () const |
Protected Member Functions | |
| UniformSmoothingKernel () | |
| Protected Member Functions inherited from SmoothingKernel | |
| SmoothingKernel () | |
| Random * | random () const |
| void | setupSelfBefore () override |
| Protected Member Functions inherited from SimulationItem | |
| SimulationItem () | |
| virtual bool | offersInterface (const std::type_info &interfaceTypeInfo) const |
| virtual void | setupSelfAfter () |
| virtual void | setupSelfBefore () |
| Protected Member Functions inherited from Item | |
| Item () | |
Private Types | |
| using | BaseType = SmoothingKernel |
| using | ItemType = UniformSmoothingKernel |
Friends | |
| class | ItemRegistry |
The UniformSmoothingKernel class is a subclass of the abstract SmoothingKernel class, and describes a smoothing kernel with a uniform density and a compact support. It is completely described by the simple kernel density,
\[ W(u) = \begin{cases}\;\dfrac{3}{4\pi} & \quad{\text{if }} 0 \leq u \leq 1 \\ \; 0 & \quad{\text{else}} \end{cases}. \]
This function satisfies the required normalization
\[ 4\pi \int_0^\infty W(u)\, u^2\, {\text{d}}u = 1. \]
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inlineprotected |
Default constructor for concrete Item subclass UniformSmoothingKernel : "a uniform smoothing kernel" .
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overridevirtual |
This function returns the column density \(\Sigma(q) = 2 \int_{q}^1 \frac{W(u)\,u \,{\text{d}}u} {\sqrt{u^2-q^2}}\) of the smoothing kernel as a function of the normalized impact radius \(q=r_\text{i}/h\). For the uniform smoothing kernel, we obtain
\[\Sigma(q) = \begin{cases} \;\dfrac{3}{2\pi} \sqrt{1-q^2} & \quad\text{if } 0 \leq q \leq 1, \\ \; 0 & \quad{\text{else}}. \end{cases} \]
Implements SmoothingKernel.
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overridevirtual |
This function returns the density \(W(u)\) of the smoothing kernel as a function of the normalized radius \(u\). It just implements the analytical formula given in the class header.
Implements SmoothingKernel.
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overridevirtual |
This function generates a random normalized radius \(u\) from the smoothing kernel by drawing a number from the one-dimensional probability density \(p(u)\,{\text{d}}u = 4\pi\,W(u)\,u^2\, {\text{d}}u\). This is accomplished by generating a uniform deviate \({\cal{X}}\), and solving the equation
\[ {\cal{X}} = 4\pi\,W(u)\,u^2\, {\text{d}}u \]
for \(u\). For the uniform smoothing kernel, we obtain the simple expression \( u = \sqrt[3]{\cal{X}} \).
Implements SmoothingKernel.