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

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

#include <IPODWeights.h>

Inherits LatticeTester::Weights.

Public Member Functions
	IPODWeights (std::unique_ptr< LatticeTester::ProductWeights > weights, const KERNEL &kernel)
	Constructor. More...
	IPODWeights (std::unique_ptr< LatticeTester::OrderDependentWeights > weights, const KERNEL &kernel)
	Constructor. More...
	IPODWeights (std::unique_ptr< LatticeTester::PODWeights > weights, const KERNEL &kernel)
	Constructor. More...
double	getWeight (const Coordinates &projection) const override
	Returns the weight of the projection specified by projection.
virtual unsigned int	interlacingFactor () const override
	Returns the interlacing factor.
double	getCorrectionProductWeightForCoordinate (Coordinates::size_type coordinate) const
	Returns the correction product weight \(\delta_j\). More...
const LatticeTester::PODWeights &	getBaseWeights () const
	Returns a const reference to the corrected base weights. More...
double	getWeightForOrder (Coordinates::size_type order) const
double	getWeightForCoordinate (Coordinates::size_type coordinate) const
Public Member Functions inherited from LatticeTester::Weights
virtual	~Weights ()
	Destructor.

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

Additional Inherited Members
Related Functions inherited from LatticeTester::Weights
std::ostream &	operator<< (std::ostream &os, const Weights &o)

Detailed Description

template<typename KERNEL>
class LatBuilder::Interlaced::IPODWeights< 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

IPODWeights() [1/3]

template<typename KERNEL>

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

Constructor.

Parameters

weights	Base weights.
kernel	Kernel.

IPODWeights() [2/3]

template<typename KERNEL>

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

Constructor.

Parameters

weights	Base weights.
kernel	Kernel.

IPODWeights() [3/3]

template<typename KERNEL>

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

Constructor.

Parameters

weights	Base weights.
kernel	Kernel.

Member Function Documentation

format()

template<typename KERNEL>

void LatBuilder::Interlaced::IPODWeights< 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.

Implements LatticeTester::Weights.

getBaseWeights()

template<typename KERNEL>

const LatticeTester::PODWeights& LatBuilder::Interlaced::IPODWeights< KERNEL >::getBaseWeights

(

)

const

Returns a const reference to the corrected base weights.

More precisely these weights equal:

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

getCorrectionProductWeightForCoordinate()

template<typename KERNEL>

double LatBuilder::Interlaced::IPODWeights< KERNEL >::getCorrectionProductWeightForCoordinate

(

Coordinates::size_type

coordinate

)

const

Returns the correction product weight \(\delta_j\).

Parameters

coordinate

Value of \(j\).

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

• include/latbuilder/Interlaced/IPODWeights.h