This class represents the lattice associated with either an AWC or a SWB random number generator. More...

Inheritance diagram for LatMRG::AWCSWBLattice< Int, Real >:

Public Member Functions
	AWCSWBLattice (const Int &b, int r, int s, int mode)
	b is the modulo.
	AWCSWBLattice (const AWCSWBLattice< Int, Real > &Lat)
	Copy constructor.
AWCSWBLattice< Int, Real > &	operator= (const AWCSWBLattice< Int, Real > &Lat)
	Assigns Lat to this object.
	~AWCSWBLattice ()
	Destructor.
void	kill ()
	Cleans and releases memory used by this object.
std::string	toStringCoef () const
	Reimplement this.
const Int &	getAWCSWBmod () const
	The modulo of the MWC generator this object represents.
int	getAWCSWBorder () const
	The order of the MWC generator.
Public Member Functions inherited from LatMRG::MRGLattice< Int, Real >
	MRGLattice (const Int &m, const IntVec &aa, int64_t maxDim, NormType norm=L2NORM)
	This constructor takes as input the modulus m, the vector of multipliers aa, and the norm used to measure the vector lengths.
	MRGLattice (const MRGLattice< Int, Real > &Lat)
MRGLattice &	operator= (const MRGLattice< Int, Real > &Lat)
	Assigns Lat to this object.
	~MRGLattice ()
	Destructor.
virtual void	setaa (const IntVec &aa)
	Sets the vector of multipliers.
void	buildBasis (int64_t dim)
	Builds a basis in dim dimensions.
void	buildDualBasis (int64_t dim)
	Builds the m-dual lower triangular basis directly in dim dimensions.
void	incDimBasis ()
	Increases the current dimension of the primal basis by 1 and updates the basis.
void	incDimDualBasis ()
	Increases the current dimension of the m-dual basis by 1.
void	buildProjection (IntLattice< Int, Real > &projLattice, const Coordinates &proj) override
	This method overrides its namesake in IntLattice.
void	buildProjectionDual (IntLattice< Int, Real > &projLattice, const Coordinates &proj) override
	Overrides the same function from IntLattice.
std::string	toStringCoef () const
	Returns the first dim components of the generating vector \(\ba\) as a string, where dim is the current lattice dimension.

Additional Inherited Members
Protected Member Functions inherited from LatMRG::MRGLattice< Int, Real >
virtual void	buildBasis0 (IntMat &basis, int64_t d)
	The following protected functions take the basis as a parameter for more flexibility.
virtual void	buildDualBasis0 (IntMat &basis, int64_t d)
virtual void	incDimBasis0 (IntMat &basis, int64_t d)
virtual void	incDimDualBasis0 (IntMat &basis, int64_t d)
virtual bool	buildProjection0 (IntMat &basis, int64_t dimbasis, IntMat &pbasis, const Coordinates &proj)
Protected Attributes inherited from LatMRG::MRGLattice< Int, Real >
IntMat	m_genTemp
	This auxiliary matrix is used to store the generating vectors of a projections before reducing them into a triangular basis.
IntMat	m_copy_primal_basis
	For generating the dual basis or increasing its dimension, we need a copy of the the primal basis if we use polynomial arithmetic.
int	m_order
IntVec	m_aCoeff
	The coefficients \(a_1, ..., a_k\) of the MRG recurrence, a_j stored in m_aCoeff[j].

Detailed Description

template<typename Int, typename Real>
class LatMRG::AWCSWBLattice< Int, Real >

This class represents the lattice associated with either an AWC or a SWB random number generator.

This class is based on the article [7] and uses the exact same representation, except that each case is represented here by an integer ranging from 0 to 3. It is important to note that when interracting with other classes of LatMRG, this will most likely act as a simple MRGLattice and only the LCG equivalent to the AWC/SWB will be considered. When using this class, mode = 0 means that the generator is of the form AWC, mode = 1 is equivalent to AWC-c, mode = 2 is SWB-I and mode = 3 is SWB-II.