umontreal.iro.lecuyer.hups

Class KorobovLattice

java.lang.Object

umontreal.iro.lecuyer.hups.PointSet

umontreal.iro.lecuyer.hups.Rank1Lattice

umontreal.iro.lecuyer.hups.KorobovLattice

Direct Known Subclasses:

KorobovLatticeSequence

public class KorobovLattice
extends Rank1Lattice

This class implements Korobov lattices, which are the same point sets as in class LCGPointSet, but implemented differently. The parameters are the modulus n and the multiplier a, for arbitrary integers 1 <= a < n. The number of points is n, their dimension is s, and they are defined by

u_i = (i/n)(1, a, a²,…, a^s-1) mod 1

for i = 0,..., n - 1.

It is also possible to build a ``shifted'' Korobov lattice with the first t coordinates rejected. The s-dimensionnal points are then defined as

u_i = (i/n)(a^t, a^t+1, a^t+2,…, a^t+s-1) mod 1

for i = 0,..., n - 1 and fixed t.

Constructor Summary

Constructors

Constructor and Description
KorobovLattice(int n, int a, int s) Instantiates a Korobov lattice point set with modulus n and multiplier a in dimension s.
KorobovLattice(int n, int a, int s, int t) Instantiates a shifted Korobov lattice point set with modulus n and multiplier a in dimension s.

Method Summary

Methods

Modifier and Type	Method and Description
int	getA() Returns the multiplier a of the lattice.
java.lang.String	toString() Formats a string that contains information about the point set.

Methods inherited from class umontreal.iro.lecuyer.hups.Rank1Lattice

addRandomShift, clearRandomShift, getAs, getCoordinate, iterator

Methods inherited from class umontreal.iro.lecuyer.hups.PointSet

addRandomShift, addRandomShift, addRandomShift, formatPoints, formatPoints, formatPoints, formatPoints, formatPointsBase, formatPointsBase, formatPointsBase, formatPointsBase, formatPointsNumbered, formatPointsNumbered, getDimension, getNumPoints, getStream, randomize, randomize, randomize, randomize, randomize, setStream, unrandomize

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, wait, wait, wait

Constructor Detail

KorobovLattice

public KorobovLattice(int n,
              int a,
              int s)

Instantiates a Korobov lattice point set with modulus n and multiplier a in dimension s.

KorobovLattice

public KorobovLattice(int n,
              int a,
              int s,
              int t)

Instantiates a shifted Korobov lattice point set with modulus n and multiplier a in dimension s. The first t coordinates of a standard Korobov lattice are dropped as described above. The case t = 0 corresponds to the standard Korobov lattice.

Method Detail

getA

public int getA()

Returns the multiplier a of the lattice.

toString

public java.lang.String toString()

Description copied from class: PointSet

Formats a string that contains information about the point set.

Overrides:

toString in class Rank1Lattice

Returns:

string representation of the point set information