LatBuilder::Kernel::ICAlpha Class Reference

Inherits LatBuilder::Kernel::FunctorAdaptor< Functor::ICAlpha >.

Classes
struct	CorrectionProductWeights
	This class mimicks the LatticeTester::ProductWeights class. More...

Public Member Functions
	ICAlpha (unsigned int alpha, unsigned int interlacingFactor)
unsigned int	alpha () const
unsigned int	interlacingFactor () const
void	correctPODWeights (LatticeTester::PODWeights &weights) const
	Corrects POD weights in dimension \(s\) using the definition of \(D_{\alpha, d}\) in Section 2.4 of [rGOD15c].
Public Member Functions inherited from LatBuilder::Kernel::FunctorAdaptor< Functor::ICAlpha >
	FunctorAdaptor (Functor functor=Functor())
	Constructor.
RealVector	valuesVector (const Storage< LR, L, C, P > &storage) const
	Creates a new vector of kernel values.
bool	symmetric () const
	Returns true if the kernel takes the same value at points \(x\) and \(1 - x\) for \(x \in [0,1)\).
std::string	name () const
	Returns the name of the kernel.
Public Member Functions inherited from LatBuilder::Kernel::Base< FunctorAdaptor< Functor::ICAlpha > >
RealVector	valuesVector (const Storage< LR, L, C, P > &storage) const
	Creates a new vector of kernel values.
bool	symmetric () const
	Returns true if the kernel takes the same value at points \(x\) and \(1 - x\) for \(x \in [0,1)\).
std::string	name () const
	Returns the name of the kernel.
FunctorAdaptor< Functor::ICAlpha > &	derived ()

Static Public Attributes
static constexpr Real	CUPower = 1

Additional Inherited Members
Public Types inherited from LatBuilder::Kernel::FunctorAdaptor< Functor::ICAlpha >
typedef Functor::ICAlpha	Functor
Static Public Member Functions inherited from LatBuilder::Kernel::FunctorAdaptor< Functor::ICAlpha >
static constexpr Compress	suggestedCompression ()
Protected Member Functions inherited from LatBuilder::Kernel::FunctorAdaptor< Functor::ICAlpha >
const Functor &	functor () const

Member Function Documentation

correctPODWeights()

void LatBuilder::Kernel::ICAlpha::correctPODWeights ( LatticeTester::PODWeights & weights ) const

inline

Corrects POD weights in dimension \(s\) using the definition of \(D_{\alpha, d}\) in Section 2.4 of [rGOD15c].

\[ \tilde{\gamma}_{\mathfrak u} = D_{\alpha, d}^{|\mathfrak u|} \gamma_{\mathfrak u} = \left(4^{\max(d-\alpha, 0)} 2^{\alpha (2 d - 1)}\right)^{|\mathfrak u|} \gamma_{\mathfrak u}. \]

This corresponds to \(\Gamma\) in the interlaced weights (see LatBuilder::Interlaced::IPDWeights).

References LatticeTester::PODWeights::getProductWeights(), and LatticeTester::ProductWeights::multiplyWeights().

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

• include/latbuilder/Kernel/ICAlpha.h