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Lattice Builder Manual
Software Package for Constructing Rank-1 Lattices
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Figure of merit based on the spectral test. More...
#include <Spectral.h>
Inherits LatBuilder::ProjDepMerit::Base< Spectral< NORM > >.
Public Types | |
| typedef NORM | Normalizer |
Public Member Functions | |
| Spectral (Real power=1.0) | |
| Constructor. More... | |
| bool | symmetric () const |
| Real | power () const |
| Returns the power parameter. | |
| std::string | name () const |
| template<LatType LAT, Compress COMPRESS> | |
| Evaluator< Spectral, LAT, COMPRESS > | evaluator (Storage< LAT, COMPRESS > storage) const |
| Creates an evaluator for the projection-dependent figure of merit. | |
Public Member Functions inherited from LatBuilder::ProjDepMerit::Base< Spectral< NORM > > | |
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Storage< LAT, COMPRESS > ::MeritValue | operator() (const Storage< LAT, COMPRESS > &storage, const LatDef< LAT > &lat, const LatCommon::Coordinates &projection) const |
Computes the value of the figure of merit of lattice lat for projection projection. | |
| std::string | name () const |
| Returns the name of the figure of merit. | |
| bool | symmetric () const |
Returns true if the value of the figure of merit is invariant under a reflection of the generating vector \(\boldsymbol a=(a_1, \dots, a_s)\) along any axis such that \(a_j \mapsto n - a_j\), where \(n\) is the number of points in the lattice point set. | |
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Evaluator< Spectral< NORM > , LAT, COMPRESS > | evaluator (const Storage< LAT, COMPRESS > &storage) const |
| Creates an evaluator for the projection-dependent figure of merit. | |
| Spectral< NORM > & | derived () |
| const Spectral< NORM > & | derived () const |
Static Public Member Functions | |
| static constexpr Compress | suggestedCompression () |
Figure of merit based on the spectral test.
Implements the computation of the inverse length of the shortest dual vector in a lattice.
The value of the figure of merit is the normalized inverse length of the shortest dual vector, raised to a user-specified power.
| NORM | Normalizer type. |
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inline |
Constructor.
| power | Exponent to which the contribution for each contribution is raised. |