GUEgenerator< RealType > Class Template Reference

Generator of matrices in the Gaussian Unitary Ensemble (GUE) More...

#include <RandomMatrices.hpp>

Collaboration diagram for GUEgenerator< RealType >:

Public Member Functions
	GUEgenerator (int seed=0, RealType stddev=1.0)
	Constructor.
template<typename EigenMatrix >
void	operator() (EigenMatrix &mat)
	Generates an instance of a random matrix.
void	status (void) const
	Show the current status of the generator.
void	discard (unsigned long long num)
	Discards random numbers to advance internal states of the random number generator.
template<typename EigenMatrix >
void	discard (EigenMatrix const &mat, unsigned long long num)
	Discards instances of random matrices to advance internal states of the random number generator.

Private Attributes
std::mt19937	mt
std::normal_distribution< RealType >	Gaussian
unsigned long long	count

Detailed Description

template<typename RealType = double>
class GUEgenerator< RealType >

Generator of matrices in the Gaussian Unitary Ensemble (GUE)

Template Parameters

RealType

: the type of floating-point numbers.

Constructor & Destructor Documentation

GUEgenerator()

template<typename RealType = double>

GUEgenerator< RealType >::GUEgenerator ( int  seed = 0, RealType  stddev = 1.0  )

inline

Constructor.

Parameters

seed	seed for the random number generator
stddev	Standard deviation of diagonal elements

            : mt(seed), Gaussian{0.0, stddev}, count{0} {};

Member Function Documentation

discard() [1/2]

template<typename RealType = double>

template<typename EigenMatrix >

void GUEgenerator< RealType >::discard ( EigenMatrix const &  mat, unsigned long long  num  )

inline

Discards instances of random matrices to advance internal states of the random number generator.

Parameters

mat	Matrix the shape of which is the same as random matrices to be discarded
num	Number of random matrices to be discarded

                                                                     {
            this->discard(num * 2 * mat.size());
        }

discard() [2/2]

template<typename RealType = double>

void GUEgenerator< RealType >::discard ( unsigned long long  num )

inline

Discards random numbers to advance internal states of the random number generator.

Parameters

num	Number of random numbers to be discarded

                                             {
            for(auto j = 0; j < num; ++j) Gaussian(mt);
            count += num;
        }

operator()()

template<typename RealType = double>

template<typename EigenMatrix >

void GUEgenerator< RealType >::operator() ( EigenMatrix &  mat )

inline

Generates an instance of a random matrix.

Parameters

[out]

mat

Matrix to which the generated matrix is assigned

                                          {
            mat = mat.NullaryExpr(mat.rows(), mat.cols(), [&]() {
                return Complex_t<RealType>(Gaussian(mt), Gaussian(mt));
            });
            mat = (mat + mat.adjoint().eval()) / 2.0;
            count += 2 * mat.size();
        }

status()

template<typename RealType = double>

void GUEgenerator< RealType >::status ( void  ) const

inline

Show the current status of the generator.

• Mean: Mean of each elements
• Stddev: Standard deviation of diagonal elements
• Count: Number of random numbers generated by the instance so far

                                {
            std::cout << "GUEgenerator.status()"
                      << "\n";
            std::cout << "\tMean:   " << Gaussian.mean() << "\n";
            std::cout << "\tStddev: " << Gaussian.stddev() << "\n";
            std::cout << "\tCount:  " << this->count << std::endl;
        }

Member Data Documentation

count

template<typename RealType = double>

unsigned long long GUEgenerator< RealType >::count

mutableprivate

Gaussian

template<typename RealType = double>

std::normal_distribution<RealType> GUEgenerator< RealType >::Gaussian

private

mt

template<typename RealType = double>

std::mt19937 GUEgenerator< RealType >::mt

private

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The documentation for this class was generated from the following file:

• /Users/shoki/GitHub/Locality/Headers/RandomMatrices.hpp