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DescartesFolium Class Reference
[Example scripts (models)]

Example: Folium of Descartes More...

List of all members.

Public Member Functions

 DescartesFolium (const Options &opt)
 Actual model.
 DescartesFolium (DescartesFolium &p)
 Constructor for cloning p.
virtual Spacecopy (void)
 Copy during cloning.
virtual FloatVar cost (void) const
 Cost function.
virtual void print (std::ostream &os) const
 Print solution coordinates.

Protected Attributes

FloatVarArray f
 The numbers.
double step
 Minimum distance between two solutions.

Detailed Description

Example: Folium of Descartes

The folium of Descartes is a curve defined by the equation:

\[ x^3 + y^3 - 3axy = 0 \]

A technique to solve it, is to write $y=px$ and solve for $x$ and $y$ in terms of $p$. By setting $a=1$, it yields to the paramatric equation:

\[ x^3 + y^3 - 3xy = 0 \]

\[ x=\frac{3p}{1+p^3},\quad y=\frac{3p^2}{1+p^3} \]

The parameter $p$ is related to the position on the curve and is constrained to get different solutions for $x$ and $y$. To get reasonable interval starting sizes, $p$ and $y$ are restricted to $[-20;20]$ and $x$ is restricted to $[-1;2]$.

Definition at line 68 of file descartes-folium.cpp.

Constructor & Destructor Documentation

DescartesFolium::DescartesFolium ( const Options opt  )  [inline]

Actual model.

Definition at line 76 of file descartes-folium.cpp.

DescartesFolium::DescartesFolium ( DescartesFolium p  )  [inline]

Constructor for cloning p.

Definition at line 94 of file descartes-folium.cpp.

Member Function Documentation

virtual Space* DescartesFolium::copy ( void   )  [inline, virtual]

Copy during cloning.

Definition at line 99 of file descartes-folium.cpp.

virtual FloatVar DescartesFolium::cost ( void   )  const [inline, virtual]

Cost function.

Definition at line 103 of file descartes-folium.cpp.

virtual void DescartesFolium::print ( std::ostream &  os  )  const [inline, virtual]

Print solution coordinates.

Reimplemented from Gecode::Driver::ScriptBase< BaseSpace >.

Definition at line 107 of file descartes-folium.cpp.

Member Data Documentation

The numbers.

Definition at line 71 of file descartes-folium.cpp.

double DescartesFolium::step [protected]

Minimum distance between two solutions.

Definition at line 73 of file descartes-folium.cpp.

The documentation for this class was generated from the following file: