Random Classes

Pseudo-random numbers generator classes and for generation of random number distributions.

These classes implement several pseudo-random number generators and method for generation of random numbers according to arbitrary distributions

Modules
	QuasiRandom number generators and distributions
	Classes for generating QuasiRandom numbers and based on GSL.

Classes
class	ROOT::Math::DistSampler
	Interface class for generic sampling of a distribution, i.e. More...
class	ROOT::Math::GSLQRngNiederreiter2
	Niederreiter generator gsl_qrng_niederreiter_2 from here More...
class	ROOT::Math::GSLQRngSobol
	Sobol generator gsl_qrng_sobol from here More...
class	ROOT::Math::GSLQuasiRandomEngine
	GSLQuasiRandomEngine Base class for all GSL quasi random engines, normally user instantiate the derived classes which creates internally the generator and uses the class ROOT::Math::QuasiRandom. More...
class	ROOT::Math::GSLRandomEngine
	GSLRandomEngine Base class for all GSL random engines, normally user instantiate the derived classes which creates internally the generator. More...
class	ROOT::Math::GSLRngCMRG
	Combined multiple recursive generator (L'Ecuyer) see here More...
class	ROOT::Math::GSLRngGFSR4
	Lagged Fibonacci generator by Ziff see here More...
class	ROOT::Math::GSLRngMinStd
	MINSTD generator (Park and Miller) see here More...
class	ROOT::Math::GSLRngMixMax
	MixMax generator based on ROOT::Math::MixMaxEngine of N=240. More...
class	ROOT::Math::GSLRngMRG
	5-th order multiple recursive generator (L'Ecuyer, Blouin and Coutre) see here More...
class	ROOT::Math::GSLRngMT
	Mersenne-Twister generator gsl_rng_mt19937 from here More...
class	ROOT::Math::GSLRngRand
	BSD rand() generator gsl_rmg_rand from here More...
class	ROOT::Math::GSLRngRanLux
	Old Ranlux generator (James, Luscher) (default luxury level, p = 223) (This is eequivalent to TRandom1 with default luxury level) see here More...
class	ROOT::Math::GSLRngRanLuxD1
	Double precision (48 bits) version of Second generation of Ranlux generator with luxury level of 1 (It throws away 202 value for every 12 used) see here More...
class	ROOT::Math::GSLRngRanLuxD2
	Double precision (48 bits) version of Second generation of Ranlux generator with luxury level of 2 (It throws away 397 value for every 12 used) see here More...
class	ROOT::Math::GSLRngRanLuxS1
	Second generation of Ranlux generator for single precision with luxury level of 1 (It throws away 202 values for every 12 used) see here More...
class	ROOT::Math::GSLRngRanLuxS2
	Second generation of Ranlux generator for Single precision with luxury level of 2 (It throws away 397 value for every 12 used) see here More...
class	ROOT::Math::GSLRngRanMar
	RANMAR generator see here More...
class	ROOT::Math::GSLRngTaus
	Tausworthe generator by L'Ecuyer see here More...
class	ROOT::Math::MersenneTwisterEngine
	Random number generator class based on M. More...
class	ROOT::Math::Random< Engine >
	Documentation for the Random class. More...
class	ROOT::Math::RandomFunctions< EngineType, ROOT::Math::GSLRandomEngine >
	Specialized implementation of the Random functions based on the GSL library. More...
class	ROOT::Math::StdEngine< Generator >
	Class to wrap engines fron the C++ standard random library in the ROOT Random interface. More...
class	TKDTree< Index, Value >
	Class implementing a kd-tree. More...
class	TRandom
	This is the base class for the ROOT Random number generators. More...
class	TRandom1
	The Ranlux Random number generator class. More...
class	TRandom2
	Random number generator class based on the maximally quidistributed combined Tausworthe generator by L'Ecuyer. More...
class	TRandom3
	Random number generator class based on M. More...

Typedefs
typedef TRandomEngine	ROOT::Math::DefaultEngineType
	Documentation for the RandomFunction class. More...
typedef TRandomGen< ROOT::Math::MixMaxEngine< 240, 0 > >	TRandomMixMax
	MIXMAX generator based on a state of N=240. More...
typedef TRandomGen< ROOT::Math::MixMaxEngine< 17, 0 > >	TRandomMixMax17
	MIXMAX generator based on a state of N=17. More...
typedef TRandomGen< ROOT::Math::MixMaxEngine< 256, 2 > >	TRandomMixMax256
	MIXMAX generator based on a state of N=256, based on the generator descrived in this paper: More...
typedef TRandomGen< ROOT::Math::StdEngine< std::mt19937_64 > >	TRandomMT64
	Generator based on a the Mersenne-Twister generator with 64 bits, using the implementation provided by the standard library, std::mt19937_64 (see http://www.cplusplus.com/reference/random/mt19937_64/ ) More...
typedef TRandomGen< ROOT::Math::StdEngine< std::ranlux48 > >	TRandomRanlux48
	Generator based on a the RanLux generator with 48 bits, using the implementation provided by the standard library, std::ranlux48 (see http://www.cplusplus.com/reference/random/ranlux48/ ) More...

Typedef Documentation

DefaultEngineType

typedef TRandomEngine ROOT::Math::DefaultEngineType

Documentation for the RandomFunction class.

Definition at line 47 of file RandomFunctions.h.

TRandomMixMax

typedef TRandomGen<ROOT::Math::MixMaxEngine<240,0> > TRandomMixMax

MIXMAX generator based on a state of N=240.

This generator is described in this paper:

K. Savvidy and G. Savvidy, Spectrum and Entropy of C-systems. MIXMAX random number generator, Chaos, Solitons & Fractals, Volume 91, (2016) pp. 33–38 http://dx.doi.org/10.1016/j.chaos.2016.05.003

Definition at line 100 of file TRandomGen.h.

TRandomMixMax17

typedef TRandomGen<ROOT::Math::MixMaxEngine<17,0> > TRandomMixMax17

MIXMAX generator based on a state of N=17.

This generator has a fast seeding time compared to N=240. This generator is described in this paper:

K. Savvidy and G. Savvidy, Spectrum and Entropy of C-systems. MIXMAX random number generator, Chaos, Solitons & Fractals, Volume 91, (2016) pp. 33–38 http://dx.doi.org/10.1016/j.chaos.2016.05.003

Definition at line 111 of file TRandomGen.h.

TRandomMixMax256

typedef TRandomGen<ROOT::Math::MixMaxEngine<256,2> > TRandomMixMax256

MIXMAX generator based on a state of N=256, based on the generator descrived in this paper:

K. Savvidy, The MIXMAX random number generator, Comp. Phys. Commun. 196 (2015), pp 161–165 http://dx.doi.org/10.1016/j.cpc.2015.06.003

This generator has been implemented with a skipping value of 2 iterations (so retaining one matrix iteration every 3).

Definition at line 125 of file TRandomGen.h.

TRandomMT64

typedef TRandomGen<ROOT::Math::StdEngine<std::mt19937_64> > TRandomMT64

Generator based on a the Mersenne-Twister generator with 64 bits, using the implementation provided by the standard library, std::mt19937_64 (see http://www.cplusplus.com/reference/random/mt19937_64/ )

Definition at line 133 of file TRandomGen.h.

TRandomRanlux48

typedef TRandomGen<ROOT::Math::StdEngine<std::ranlux48> > TRandomRanlux48

Generator based on a the RanLux generator with 48 bits, using the implementation provided by the standard library, std::ranlux48 (see http://www.cplusplus.com/reference/random/ranlux48/ )

Definition at line 141 of file TRandomGen.h.