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LatNet Builder Manual 2.1.3-6
Software Package for Constructing Highly Uniform Point Sets
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Sequence of lattice merit for weighted coordinate-uniform figures of merit. More...
#include <CoordUniformCBC.h>
Classes | |
| class | Seq |
| Output sequence from the coordinate-uniform CBC algorithm. More... | |
Public Types | |
| typedef PROD< LR, ET, COMPRESS, PLO > | CoordUniformInnerProd |
| typedef Storage< LR, ET, COMPRESS, PLO >::MeritValue | MeritValue |
| typedef LatBuilder::LatDef< LR, ET > | LatDef |
| typedef CoordUniformFigureOfMerit< KERNEL > | FigureOfMerit |
| typedef CoordUniformInnerProd::StateList | StateList |
| typedef MeritValue | value_type |
| typedef LatticeTraits< LR >::GenValue | GenValue |
Public Member Functions | |
| CoordUniformCBC (Storage< LR, ET, COMPRESS, PLO > storage, const FigureOfMerit &figure) | |
| Constructor. | |
| void | reset () |
| Resets the state of the CBC algorithm to dimension 0. | |
| const Storage< LR, ET, COMPRESS, PLO > & | storage () const |
| Returns the storage configuration instance. | |
| const FigureOfMerit & | figureOfMerit () const |
| Returns the coordinate-uniform figure of merit. | |
| const CoordUniformInnerProd & | innerProd () const |
| Returns the inner product instance. | |
| const StateList & | states () const |
| Returns the states. | |
| RealVector | weightedState () const |
| Returns the total weighted state. | |
| const LatDef & | baseLat () const |
| Returns the base lattice. | |
| const MeritValue & | baseMerit () const |
| Returns the base merit value. | |
| template<typename GENSEQ> | |
| Seq< GENSEQ > | meritSeq (const GENSEQ &genSeq) const |
Creates a new sequence of merit values by appending the values in genSeq to the generating vector of the base lattice. | |
| template<typename IT> | |
| void | select (const IT &it) |
| Selects the element pointed to by the iterator. | |
Sequence of lattice merit for weighted coordinate-uniform figures of merit.
A weighted coordinate-uniform figure of merit is of the form:
\[ \mathcal D^2 = \sum_{\emptyset \neq \mathfrak u \subseteq \{1, \dots, s\}} \gamma_{\mathfrak u} \frac1n \sum_{i=0}^{n-1} \prod_{j \in \mathfrak u} \omega(x_{i,j}), \]
for some function \(\omega: [0,1) \to [0,\infty)\).
| ET | Type of lattice. |
| COMPRESS | Type of compression. |
| KERNEL | Kernel of the coordinate-uniform figure of merit; should derive from Kernel::Base. |
| PROD | Type of inner product; either CoordUniformInnerProd or CoordUniformInnerProdFast. |
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inline |
Constructor.
| storage | Storage configuration. |
| figure | Coordinate-uniform figure of merit. |
Referenced by LatBuilder::MeritSeq::CoordUniformCBC< LR, ET, COMPRESS, PLO, KERNEL, PROD >::Seq< GENSEQ >::cbc(), and LatBuilder::MeritSeq::CoordUniformCBC< LR, ET, COMPRESS, PLO, KERNEL, PROD >::Seq< GENSEQ >::Seq().
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inline |
Returns the base lattice.
This sequence extends on the lattice base by increasing its dimension by one.
Referenced by LatBuilder::MeritSeq::CoordUniformCBC< LR, ET, COMPRESS, PLO, KERNEL, PROD >::Seq< GENSEQ >::Seq().
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inline |
Returns the base merit value.
The merit values contained in this sequence are based on the value returned by this function.
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Creates a new sequence of merit values by appending the values in genSeq to the generating vector of the base lattice.
| genSeq | Sequence of generator values. |
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inline |
Selects the element pointed to by the iterator.
Returns true if and only if the sequence of generator sequences is not exhausted.
| it | Iterator on the element of the sequence to be selected. |