# Package umontreal.iro.lecuyer.hups

Interface Summary Interface Description PointSetIterator Objects of classes that implement this interface are iterators that permit one to enumerate (or observe) the successive points of a point set and the successive coordinates of these points.PointSetRandomization This interface is used to randomize a`PointSet`

.Randomization Deprecated Class Summary Class Description AntitheticPointSet This container class provides antithetic points.BakerTransformedPointSet This container class embodies a point set to which a Baker transformation is applied.CachedPointSet This container class caches a point set by precomputing and storing its points locally in an array.ContainerPointSet This acts as a generic base class for all container classes that contain a point set and apply some kind of transformation to the coordinates to define a new point set.CycleBasedPointSet This abstract class provides the basic structures for storing and manipulating a highly uniform point set defined by a set of cycles.CycleBasedPointSetBase2 Similar to`CycleBasedPointSet`

, except that the successive values in the cycles are stored as integers in the range {0,..., 2^{k}-1}, where 1 <=*k*<= 31.DigitalNet This class provides the basic structures for storing and manipulating linear digital nets in base*b*, for an arbitrary base*b*>= 2.DigitalNetBase2 A special case of`DigitalNet`

for the base*b*= 2.DigitalNetBase2FromFile This class allows us to read the parameters defining a digital net*in base 2*either from a file, or from a URL address on the World Wide Web.DigitalNetFromFile This class allows us to read the parameters defining a digital net either from a file, or from a URL address on the World Wide Web.DigitalSequence This abstract class describes methods specific to digital sequences.DigitalSequenceBase2 This abstract class describes methods specific to digital sequences in base 2.EmptyRandomization This class implements an empty`PointSetRandomization`

.F2wCycleBasedLFSR This class creates a point set based upon a linear feedback shift register sequence.F2wCycleBasedPolyLCG This class creates a point set based upon a linear congruential sequence in the finite field**F**_{2w}[*z*]/*P*(*z*).F2wNetLFSR This class implements a digital net in base 2 starting from a linear feedback shift register generator.F2wNetPolyLCG This class implements a digital net in base 2 starting from a polynomial LCG in**F**_{2w}[*z*]/*P*(*z*).F2wStructure This class implements methods and fields needed by the classes`F2wNetLFSR`

,`F2wNetPolyLCG`

,`F2wCycleBasedLFSR`

and`F2wCycleBasedPolyLCG`

.FaureSequence This class implements digital nets or digital sequences formed by the first*n*=*b*^{k}points of the Faure sequence in base*b*.HaltonSequence This class implements the sequence of Halton, which is essentially a modification of Hammersley nets for producing an infinite sequence of points having low discrepancy.HammersleyPointSet This class implements Hammersley point sets, which are defined as follows.KorobovLattice This class implements Korobov lattices, which are the same point sets as in class`LCGPointSet`

, but implemented differently.KorobovLatticeSequence This class implements Korobov lattice sequences, defined as follows.LCGPointSet Implements a recurrence-based point set defined via a linear congruential recurrence of the form*x*_{i}=*ax*_{i-1}mod*n*and*u*_{i}=*x*_{i}/*n*.LMScrambleShift This class implements a`PointSetRandomization`

that performs a left matrix scrambling and adds a random digital shift.NiedSequenceBase2 This class implements digital sequences constructed from the Niederreiter sequence in base 2.NiedXingSequenceBase2 This class implements digital sequences based on the Niederreiter-Xing sequence in base 2.PaddedPointSet This container class realizes padded point sets, constructed by taking some coordinates from a point set*P*_{1}, other coordinates from a point set*P*_{2}, and so on.PointSet This abstract class defines the basic methods for accessing and manipulating point sets.RadicalInverse This class implements basic methods for working with radical inverses of integers in an arbitrary basis*b*.RandomShift This class implements a`PointSetRandomization`

.RandShiftedPointSet This container class embodies a point set to which a random shift modulo 1 is applied (i.e., a single uniform random point is added to all points, modulo 1, to randomize the inner point set).Rank1Lattice This class implements point sets defined by integration lattices of rank 1, defined as follows.SMScrambleShift This class implements a`PointSetRandomization`

that performs a striped matrix scrambling and adds a random digital shift.SobolSequence This class implements digital nets or digital sequences in base 2 formed by the first*n*= 2^{k}points of a Sobol' sequence.SubsetOfPointSet This container class permits one to select a subset of a point set.

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