Base class for bounds on the \(\mathcal P_\alpha\) values. More...

#include <PAlphaBase.h>

Public Member Functions
	PAlphaBase (unsigned int alpha, Real normType)
	Constructor. More...

unsigned	alpha () const

Real	normType () const

Real	minExp () const

Real	maxExp () const

template<LatType L>
Real	value (Real lambda, const SizeParam< L > &sizeParam, Dimension dimension, Real norm=1.0) const
	Returns the value of the bound. More...

template<LatType L>
Real	operator() (const SizeParam< L > &sizeParam, Dimension dimension, Real norm=1.0) const
	Returns the smallest value of the bound for dimension `dimension`. More...

template<LatType L>
Real	minimum (const SizeParam< L > &sizeParam, Dimension dimension, Real norm) const
	Returns the minimum value of the bound function. More...

Static Public Attributes
static const unsigned	MINIMIZER_MAX_ITER = 1000u
	Maximum number of iterations to be used with the minimizer.

static const int	MINIMIZER_PREC_BITS = 18
	Relative precision on the minimum value to be used with the minimizer.

Detailed Description

Base class for bounds on the \(\mathcal P_\alpha\) values.

Constructor & Destructor Documentation

template<class DERIVED>

LatBuilder::Norm::PAlphaBase< DERIVED >::PAlphaBase	(	unsigned int	alpha,
		Real	normType
	)

inline

Constructor.

Parameters

alpha	Smoothness level \(\alpha\) of the class of functions.
normType	Type of cross-projection norm used by the figure of merit.

template<class DERIVED>

template<LatType L>

Real LatBuilder::Norm::PAlphaBase< DERIVED >::minimum	(	const SizeParam< L > &	sizeParam,
		Dimension	dimension,
		Real	norm
	)		const

inline

Returns the minimum value of the bound function.

Uses BrentMinimizer to minimize the bound function. The value of \(\lambda\) at which the minimum is reached is not returned.

template<class DERIVED>

template<LatType L>

Real LatBuilder::Norm::PAlphaBase< DERIVED >::operator()	(	const SizeParam< L > &	sizeParam,
		Dimension	dimension,
		Real	norm = `1.0`
	)		const

inline

Returns the smallest value of the bound for dimension dimension.

Parameters

sizeParam	Size parameter for the lattices.
dimension	Dimension.
norm	Additional normalization \( c \).

template<class DERIVED>

template<LatType L>

Real LatBuilder::Norm::PAlphaBase< DERIVED >::value	(	Real	lambda,
		const SizeParam< L > &	sizeParam,
		Dimension	dimension,
		Real	norm = `1.0`
	)		const

inline

Returns the value of the bound.

Parameters

lambda	Value of \(\lambda = \).
sizeParam	Size parameter for the lattices.
dimension	Dimension.
norm	Additional normalization \( c \).

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