HB Namespace Reference

Namespaces
	Ising

Classes
class	Grid
	A class storing spin values as a grid and certain meta information. More...
class	MetropolisSimulation
class	MetropolisSimulationQt
class	Model
	An abstract class representing the model describing the spins. A model class has to derive from it an override the pure virtual functions. More...
struct	NB
	A struct containing six neighbour inidices of a spin in three dimensions. More...
class	SimulatedAnnealing
struct	Spin
	A class storing spin values represented by two angles. More...

Typedefs
using	Models = std::vector< std::unique_ptr< HB::Model > >

Functions
template<typename T >
T	mean (const std::vector< T > &o)
	calculates the mean value of a standard vector \(\mu = \sum_i o_i\) More...
template<typename T >
T	covFunc (const size_t t, const std::vector< T > &o)
	calculates the covariance function up to a certain index of a standard vector More...
template<typename T >
T	intAuto (const std::vector< T > &o)
	calculates the integrated autocorrelation time of a standard vector More...
template<typename T >
T	error (const std::vector< T > &o)
	calculates the standard error (standard deviation) of a standard vector More...
template<typename T >
T	blockingError (const std::vector< T > &o, const size_t block_number)
	calculates the blocking error of a standard vector More...
template<typename T >
T	bootstrapError (const std::vector< T > &o, const size_t sample_size, const size_t sample_number, const T tau)
	calculates the bootstrap error of a standard vector More...
template<typename T >
T	errorProp (const std::vector< T > &o, const T tau)
	calculates the error based on error propagation of a standard vector More...
template<typename T >
T	errorPropEnergy (const std::vector< T > &energies, const T beta, const T tau, const size_t V)
	calculates the statistical error on energies using error propagation More...
template<typename T >
T	errorPropMagnetization (const std::vector< T > &magn, const T beta, const T tau, const size_t V)
	calculates the statistical error on magnetizations (magn) using error propagation More...
template<typename T >
size_t	d2i (const T d)
	rounds a floating point value to an integer More...
template<typename T >
void	removeCorr (const std::vector< T > &o)
	removes correlation from a standard vector More...
template<typename T >
T	specificHeat (const std::vector< T > &energies, const T beta, const size_t V)
	computes the specific heat per Volume as secondary quantity for a given vector of energies More...
template<typename T >
T	magnSusz (const std::vector< T > &magn, const T beta, const size_t V)
	computes the magnetic suszeptibility per Volume as secondary quantity for a given vector of magnetizations More...
void	simulate (const Models &models)

Typedef Documentation

Models

using HB::Models = typedef std::vector<std::unique_ptr<HB::Model> >

Definition at line 270 of file simulation.h.

Function Documentation

blockingError()

template<typename T >

T HB::blockingError	(	const std::vector< T > &	o,
		const size_t	block_number
	)

calculates the blocking error of a standard vector

Parameters

block_number	Number of blocks the vector is divided into
o	Reference to the standard vector

Returns

Blocking error

bootstrapError()

template<typename T >

T HB::bootstrapError	(	const std::vector< T > &	o,
		const size_t	sample_size,
		const size_t	sample_number,
		const T	tau
	)

calculates the bootstrap error of a standard vector

Parameters

o	Reference to the standard vector
sample_size	Size of the bootstrap samples \parma sample_number Number of resamplings
tau	Integrated autocorrelation time

Returns

Bootstrap error

covFunc()

template<typename T >

T HB::covFunc	(	const size_t	t,
		const std::vector< T > &	o
	)

calculates the covariance function up to a certain index of a standard vector

Parameters

t	Index in vector
o	Reference to the standard vector

Returns

Value of the covariance function

d2i()

template<typename T >

size_t HB::d2i

(

const T

d

)

rounds a floating point value to an integer

Parameters

d	Value to be rounded

Returns

Resulting integer

error()

template<typename T >

T HB::error

(

const std::vector< T > &

o

)

calculates the standard error (standard deviation) of a standard vector

Parameters

o	Reference to the standard vector

Returns

Standard error

errorProp()

template<typename T >

T HB::errorProp	(	const std::vector< T > &	o,
		const T	tau
	)

calculates the error based on error propagation of a standard vector

Parameters

o	Reference to the standard vector
tau	Integrated autocorrelation time

Returns

Error propagation

errorPropEnergy()

template<typename T >

T HB::errorPropEnergy	(	const std::vector< T > &	energies,
		const T	beta,
		const T	tau,
		const size_t	V
	)

calculates the statistical error on energies using error propagation

Parameters

o	Reference to the standard vector
tau	Integrated autocorrelation time

Returns

Error propagation

errorPropMagnetization()

template<typename T >

T HB::errorPropMagnetization	(	const std::vector< T > &	magn,
		const T	beta,
		const T	tau,
		const size_t	V
	)

calculates the statistical error on magnetizations (magn) using error propagation

Parameters

o	Reference to the standard vector
tau	Integrated autocorrelation time

Returns

Error propagation

intAuto()

template<typename T >

T HB::intAuto

(

const std::vector< T > &

o

)

calculates the integrated autocorrelation time of a standard vector

Parameters

o	Reference to the standard vector

Returns

Integrated autocorrelation time

magnSusz()

template<typename T >

T HB::magnSusz	(	const std::vector< T > &	magn,
		const T	beta,
		const size_t	V
	)

computes the magnetic suszeptibility per Volume as secondary quantity for a given vector of magnetizations

Parameters

Reference	to a standard vector of magnetizations
beta	Inverse temperature
V	Volume

Returns

Magnetic suzeptibility

mean()

template<typename T >

T HB::mean

(

const std::vector< T > &

o

)

calculates the mean value of a standard vector \(\mu = \sum_i o_i\)

Parameters

o	Reference to the standard vector
return	Mean value

removeCorr()

template<typename T >

void HB::removeCorr

(

const std::vector< T > &

o

)

removes correlation from a standard vector

The function calculates the integrated autocorrelation time \(\tau\). The thermalisation of \(20\tau\) is removed. The integrated autocorrelation time is calculated again in order to remove values from the input vector until the remaining ones are uncorrelated. The The function overrides the input vector.

Parameters

o	Standard vector of correlated values

simulate()

void HB::simulate

(

const Models &

models

)

specificHeat()

template<typename T >

T HB::specificHeat	(	const std::vector< T > &	energies,
		const T	beta,
		const size_t	V
	)

computes the specific heat per Volume as secondary quantity for a given vector of energies

Parameters

Reference	to a standard vector of energies
beta	Inverse temperature
V	Volume

Returns

Specific heat