ArchimedeanSpiral Class Reference

Example: Archimedean spiral More...

Public Member Functions
	ArchimedeanSpiral (const Options &opt)
	Actual model.
	ArchimedeanSpiral (ArchimedeanSpiral &p)
	Constructor for cloning p.
virtual Space *	copy (void)
	Copy during cloning.
virtual FloatVar	cost (void) const
	Cost function.
virtual void	print (std::ostream &os) const
	Print solution coordinates.
Public Member Functions inherited from Gecode::Driver::ScriptBase< Driver::ExtractStepOption< FloatMaximizeSpace > >
	ScriptBase (const Options &opt)
	Constructor.
	ScriptBase (ScriptBase &e)
	Constructor used for cloning.
virtual void	compare (const Space &home, std::ostream &os) const
	Compare with s.
Public Member Functions inherited from Gecode::Driver::ExtractStepOption< BaseSpace >
	ExtractStepOption (const Options &opt)
	Constructor that extracts the step value.
	ExtractStepOption (BaseSpace &e)
	Constructor used for cloning.

Protected Attributes
FloatVarArray	f
	The numbers.

Related Symbols
(Note that these are not member symbols.)
int	main (int argc, char *argv[])
	Main-function.

Additional Inherited Members
Static Public Member Functions inherited from Gecode::Driver::ScriptBase< Driver::ExtractStepOption< FloatMaximizeSpace > >
static std::ostream &	select_ostream (const char *sn, std::ofstream &ofs)
	Choose output stream according to sn.
static void	run (const Options &opt, Script *s=nullptr)

Detailed Description

Example: Archimedean spiral

The Archimedean Spiral is a spiral where all points corresponding to the locations over time of a point moving away from a fixed point with a constant speed along a line which rotates with constant angular velocity. It is defined by the polar equation:

\[ r = a+b\theta \]

To get cartesian coordinates, it can be solved for \(x\) and \(y\) in terms of \(r\) and \(\theta\). By setting \(a=1\) and \(b=1\), it yields to the equation:

\[ r = \theta \]

with

\[ x=r\operatorname{cos}(\theta), \quad y=r\operatorname{sin}(\theta) \]

The tuple \((r,\theta)\) is related to the position for \(x\) and \(y\) on the curve. \(r\) and \(\theta\) are positive numbers.

To get reasonable interval starting * sizes, \(x\) and \(y\) are restricted to \([-20;20]\).

Definition at line 67 of file archimedean-spiral.cpp.

Constructor & Destructor Documentation

ArchimedeanSpiral() [1/2]

ArchimedeanSpiral::ArchimedeanSpiral ( const Options & opt )

inline

Actual model.

Definition at line 73 of file archimedean-spiral.cpp.

ArchimedeanSpiral() [2/2]

ArchimedeanSpiral::ArchimedeanSpiral ( ArchimedeanSpiral & p )

inline

Constructor for cloning p.

Definition at line 91 of file archimedean-spiral.cpp.

Member Function Documentation

copy()

virtual Space * ArchimedeanSpiral::copy ( void )

inlinevirtual

Copy during cloning.

Definition at line 96 of file archimedean-spiral.cpp.

cost()

virtual FloatVar ArchimedeanSpiral::cost ( void ) const

inlinevirtual

Cost function.

Definition at line 100 of file archimedean-spiral.cpp.

print()

virtual void ArchimedeanSpiral::print ( std::ostream & os ) const

inlinevirtual

Print solution coordinates.

Reimplemented from Gecode::Driver::ScriptBase< Driver::ExtractStepOption< FloatMaximizeSpace > >.

Definition at line 104 of file archimedean-spiral.cpp.

Friends And Related Symbol Documentation

main()

int main ( int argc, char * argv[] )

related

Main-function.

Definition at line 114 of file archimedean-spiral.cpp.

Member Data Documentation

f

FloatVarArray ArchimedeanSpiral::f

protected

The numbers.

Definition at line 70 of file archimedean-spiral.cpp.

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

• examples/archimedean-spiral.cpp