LatBuilder::MeritSeq::ConcreteCoordUniformState< LAT, COMPRESS, LatCommon::ProjectionDependentWeights > Class Template Reference

Implementation of CoordUniformState for projection-dependent weights. More...

#include <ConcreteCoordUniformState-PD.h>

Inherits LatBuilder::MeritSeq::CoordUniformState< LAT, COMPRESS >.

Public Member Functions
	ConcreteCoordUniformState (const Storage< LAT, COMPRESS > &storage, const LatCommon::ProjectionDependentWeights &weights)
	Constructor. More...
void	reset ()
	Resets the state to dimension 0 with new specified storage configuration.
void	update (const RealVector &kernelValues, Modulus gen)
	Updates the current state using the specified row of the permuted matrix of kernel values. More...
RealVector	weightedState () const
	Computes and returns the weighted state vector \(\boldsymbol q_s\). More...
std::unique_ptr< CoordUniformState< LAT, COMPRESS > >	clone () const
	Returns a copy of this instance. More...
Public Member Functions inherited from LatBuilder::MeritSeq::CoordUniformState< LAT, COMPRESS >
	CoordUniformState (Storage< LAT, COMPRESS > storage)
const Storage< LAT, COMPRESS > &	storage () const
	Returns a pointer to the storage configuration.
Dimension	dimension () const
	Returns the value of the internal dimension counter.

Detailed Description

template<LatType LAT, Compress COMPRESS>
class LatBuilder::MeritSeq::ConcreteCoordUniformState< LAT, COMPRESS, LatCommon::ProjectionDependentWeights >

Implementation of CoordUniformState for projection-dependent weights.

Define

\[ \boldsymbol p_{\mathfrak u} = \left( \prod_{j \in \mathfrak u} \; \omega(x_{0,j}), \dots, \prod_{j \in \mathfrak u} \; \omega(x_{n-1,j}) \right) \quad (\forall \mathfrak u \subseteq \{1,\dots,s\}) \]

for \(s \geq 1\). Then, for \(s \geq 1\), we have

\[ \mathcal D_s^2 = \mathcal D_{s-1}^2 + \frac1n \boldsymbol\omega_s \cdot \sum_{\mathfrak u \subseteq \{1,\dots,s-1\}} \gamma_{\mathfrak u \cup \{s\}} \, \boldsymbol p_{\mathfrak u} \]

and

\[ \boldsymbol p_{\mathfrak u \cup \{s\}} = \boldsymbol\omega_s \odot \boldsymbol p_{\mathfrak u} \quad (\forall \mathfrak u \subseteq \{1,\dots,s-1\}), \]

where \(\cdot\) and \(\odot\) denote the scalar and the element-by-element product, respectively. For \(s=0\) and \(\mathfrak u = \emptyset\), we artificially define \(\mathcal D_0^2 = 0\) and \(\boldsymbol p_{\emptyset} = \boldsymbol 1\).

See CoordUniformCBC for the definition of \(\boldsymbol \omega_s\).

Constructor & Destructor Documentation

template<LatType LAT, Compress COMPRESS>

LatBuilder::MeritSeq::ConcreteCoordUniformState< LAT, COMPRESS, LatCommon::ProjectionDependentWeights >::ConcreteCoordUniformState ( const Storage< LAT, COMPRESS > &  storage, const LatCommon::ProjectionDependentWeights &  weights  )

inline

Constructor.

Sets \(\mathcal D_0^2 = 0\) and \(\boldsymbol p_{\emptyset} = \boldsymbol 1\).

Parameters

storage	Storage configuration.
weights	Projection-dependent weights \( \gamma_{\mathfrak u} \).

References LatBuilder::MeritSeq::ConcreteCoordUniformState< LAT, COMPRESS, WEIGHTS >::reset().

Member Function Documentation

template<LatType LAT, Compress COMPRESS>

std::unique_ptr<CoordUniformState<LAT, COMPRESS> > LatBuilder::MeritSeq::ConcreteCoordUniformState< LAT, COMPRESS, LatCommon::ProjectionDependentWeights >::clone ( ) const

inlinevirtual

Returns a copy of this instance.

Implements LatBuilder::MeritSeq::CoordUniformState< LAT, COMPRESS >.

References LatBuilder::MeritSeq::ConcreteCoordUniformState< LAT, COMPRESS, WEIGHTS >::ConcreteCoordUniformState().

template<LatType LAT, Compress COMPRESS>

void LatBuilder::MeritSeq::ConcreteCoordUniformState< LAT, COMPRESS, LatCommon::ProjectionDependentWeights >::update ( const RealVector &  kernelValues, Modulus  gen  )

virtual

Updates the current state using the specified row of the permuted matrix of kernel values.

This corresponds to appending a component \(a_j\) to the generating vector \(\boldsymbol a = (a_1, \dots, a_{j-1})\). To each possible value of \(a_j\) corresponds a distinct row of the matrix \(\boldsymbol\Omega\) of kernel values.

This increases the internal dimension counter.

Computes

\[ \boldsymbol p_{\mathfrak u \cup \{s\}} = \boldsymbol\omega_s \odot \boldsymbol p_{\mathfrak u} \quad (\forall \mathfrak u \subseteq \{1,\dots,s-1\}). \]

Reimplemented from LatBuilder::MeritSeq::CoordUniformState< LAT, COMPRESS >.

template<LatType LAT, Compress COMPRESS>

RealVector LatBuilder::MeritSeq::ConcreteCoordUniformState< LAT, COMPRESS, LatCommon::ProjectionDependentWeights >::weightedState ( ) const

virtual

Computes and returns the weighted state vector \(\boldsymbol q_s\).

Computes

\[ \boldsymbol q_s = \sum_{\mathfrak u \subseteq \{1,\dots,s\}} \gamma_{\mathfrak u \cup \{s+1\}} \, \boldsymbol p_{\mathfrak u}. \]

Implements LatBuilder::MeritSeq::CoordUniformState< LAT, COMPRESS >.

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

• latbuilder/include/latbuilder/MeritSeq/ConcreteCoordUniformState-PD.h