LatBuilder::Interlaced::IPDWeights< KERNEL > Class Template Reference

Class to represent interlaced projection-dependent weights. More...

#include <IPDWeights.h>

Inherits LatticeTester::ProjectionDependentWeights.

Public Member Functions
	IPDWeights (std::unique_ptr< LatticeTester::ProjectionDependentWeights > weights, const KERNEL &kernel)
	Constructor. More...
virtual void	setWeight (const LatticeTester::Coordinates &projection, double weight) override
	Sets the weight of the projection specified by projection. Not possible for interlaced weights. More...
const LatticeTester::ProjectionDependentWeights &	getBaseWeights () const
	Returns a const reference to the corrected base weights. More...
virtual unsigned int	interlacingFactor () const override
	Returns the interlacing factor.
Public Member Functions inherited from LatticeTester::ProjectionDependentWeights
	ProjectionDependentWeights ()
	Constructs projection-dependent weights.
virtual	~ProjectionDependentWeights ()
	Destructor.
	ProjectionDependentWeights (const ProjectionDependentWeights &)
	Copy constructor.
virtual Weight	getWeight (const Coordinates &projection) const
	Returns the weight of the projection specified by projection.
virtual unsigned int	getSize () const
virtual const WeightsMap &	getWeightsForLargestIndex (Coordinates::value_type largestIndex) const
	Returns a map of weights for all projections whose largest index is largestIndex.
Public Member Functions inherited from LatticeTester::Weights
virtual	~Weights ()
	Destructor.

Protected Member Functions
virtual void	format (std::ostream &os) const override
	Identifies the type of weights, formats them and outputs them on os. More...

Additional Inherited Members
Protected Types inherited from LatticeTester::ProjectionDependentWeights
typedef std::map< Coordinates, Weight >	WeightsMap
Protected Attributes inherited from LatticeTester::ProjectionDependentWeights
std::vector< WeightsMap >	m_weights
	Per-projection weights, regrouped by largest coordinate index.
Static Protected Attributes inherited from LatticeTester::ProjectionDependentWeights
static const WeightsMap	m_emptyWeights
	Used only to return an empty map.
Related Functions inherited from LatticeTester::ProjectionDependentWeights
std::istream &	operator>> (std::istream &is, ProjectionDependentWeights &weights)
Related Functions inherited from LatticeTester::Weights
std::ostream &	operator<< (std::ostream &os, const Weights &o)

Detailed Description

template<class KERNEL>
class LatBuilder::Interlaced::IPDWeights< KERNEL >

Class to represent interlaced projection-dependent weights.

Uses operator \(w\) defined in Corollary 1. of [10] to transform weights in dimension \(s\) into weights in dimension \(ds\). If \( \mathfrak u \subseteq \{1, \dots, ds\}\):

\[ w(\mathfrak u) = \{ \lceil j/d \rceil, j \in \mathfrak u\}. \]

Additionally, depending on the kernel, corrections must be made. This corresponds to the correction product weights \(\delta\) and the correction order-dependent weight \(\Gamma\). The kernel implements methods to compute these correction weights. To wrap it up, the formula for the interlaced weights \(\bar{\gamma}\) is as follows:

\[ \bar{\gamma}_{\mathfrak u} = \gamma_{w(\mathfrak u)} \prod_{j \in \mathfrak u} \delta_j \Gamma_{|w(\mathfrak u)|}. \]

for \( \mathfrak u \subseteq \{1, \dots, d s\} \).

Template Parameters

KERNEL

Kernel.

Constructor & Destructor Documentation

IPDWeights()

template<class KERNEL >

LatBuilder::Interlaced::IPDWeights< KERNEL >::IPDWeights	(	std::unique_ptr< LatticeTester::ProjectionDependentWeights >	weights,
		const KERNEL &	kernel
	)

Constructor.

Parameters

weights	Projection dependent weights to interlace.
kernel	Interlaced kernel.

Member Function Documentation

format()

template<class KERNEL >

virtual void LatBuilder::Interlaced::IPDWeights< KERNEL >::format ( std::ostream &  os ) const

overrideprotectedvirtual

Identifies the type of weights, formats them and outputs them on os.

Remarks

Deriving classes should identify themselves in the output.

Reimplemented from LatticeTester::ProjectionDependentWeights.

getBaseWeights()

template<class KERNEL >

const LatticeTester::ProjectionDependentWeights& LatBuilder::Interlaced::IPDWeights< KERNEL >::getBaseWeights

(

)

const

Returns a const reference to the corrected base weights.

More precisely these weights equal:

\[ \{1, \dots, s \} \supseteq \mathfrak u \mapsto gamma_{\mathfrak u} \Gamma_{|\mathfrak u|} \]

setWeight()

template<class KERNEL >

virtual void LatBuilder::Interlaced::IPDWeights< KERNEL >::setWeight ( const LatticeTester::Coordinates &  projection, double  weight  )

overridevirtual

Sets the weight of the projection specified by projection. Not possible for interlaced weights.

Will throw a runtime error.

Reimplemented from LatticeTester::ProjectionDependentWeights.

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

• include/latbuilder/Interlaced/IPDWeights.h