Implementation of useful algorythms. More...

#include <Matematica.h>

Inheritance diagram for Matematica:

Public Types
typedef double(Matematica::*	FUNC )(double x)
	A tipical f(x) function.
typedef void(Matematica::*	ELAB )(double st, double sw, int NMass)
Public Member Functions
	Matematica ()
	Constructor.
int	PermuteRandomAll (int *Sequence, int NMass)
	Permutes a sequence without repeating.
int	PermuteRandomAll (PERMUTE *Sequence, int NMass)
	Permutes a sequence without repeating.
int	ApplyFilter (Matrice Point, Matrice Res, Matrice *Mask)
	Applies the filter.
int	ApplyFilter (Matrice Res, Matrice Mask)
	Applies the filter.
int	Transform (int Out, int In, int NEdge, int operation)
	Boh.
void	BackFold (Matrice In, Matrice Out, int NShift)
	Shift all the rows upwards/downwards.
void	Smooth (double st, double sw, int NIn, int NOut)
	Smooth the line with BSplines.
double	Evalx (double x)
	Pointer to a generic function.
double	ContactAngle (double x)
	Definition of the contact angle.
double	fProva (double x)
	Trial function.
double	F (double TD, double T)
	Boh.
double	Df (double x, double Delta)
	Boh.
void	ElabSt (double st, double sw, int NMass)
	Pointer to a function which operates on.
void	Derivata (double st, double sw, int NMass)
	Derivate of.
void	DerO4 (double st, double sw, int NMass)
	Derivate O(4) of.
double	Integrazione (double Punti, double sw, int NMass)
	Integral of.
void	IntegraA3 ()
	Perform a integration of a LJ6 Potential.
void	SquareGradient (double st, double sw, int NMass)
	Square of the gradient.
double	Integrazione (double a, double b)
	Integrates the function within.
double	IntegrazioneGauss (double a, double b, double Scarto)
	Itegrate a Gaussian.
int	Zeri (double a, double b, double *Radici, int NRadici)
	Find the.
RADICE	RegulaFalsi (double a, double b)
	Use regula falsi algorithm to find the roots.
RADICE	Newton (double a)
	Use Newton to find the roots.
double	Estremo (double a, double b)
	Other algorithm to find the roots.
double	Fattoriale (int n)
	Compute the factorial.
double	Gamma (int n)
	Euler's gamma.
double	Elevato (double x, int Volte)
	Integer power.
double	Bessel (double Val, int Ord)
	Bessel function.
double	Neumann (double Val, int Ord)
	Neumann function.
double	Segno (int n)
	Sign of -^n.
double	QuasiBessel (double Val, int Ord)
	A faster Bessel.
double	QuasiNeumann (double Val, int Ord)
	A faster Neumann.
double	WeightFunction (double x, double a)
	Definition of a weighting function.
double	WeightFunction2 (double x, double a)
	Definition of a weighting function.
double	LJHamaker (double r, double r_np, double theta)
	Integration of the LJ 6 term.
double	LJHamakerCum (double Rad, double RadNpMin, double RadNpMax)
	Integrate over r_np up to RadNp.
double	LJHamaker (double Rad, double r_np)
	Integrate over theta.
double	LJ39 (double r, double r_np)
	Integration of the LJ 6 term.
void	ExecCommand (double st, double st1, int NMass, char *cmd)
	Execute a command defined in string.
double	ExecFormula (double x, double y, char *cmd)
	Execute a formula.
double	ExecFormula (double *st, int n, char cmd)
	Execute a formula.
double	Gauss (double Media, double Scarto, double x)
	Gaussian.
bool	InizializzaGaussiano (double Scarto, int N)
	Initialize the Gaussian number generator.
double	Gaussiano (double Media, double Scarto)
	Gaussian random number.
void	Spettro (double st, double sw, int NMass)
	Compute the spectrum.
void	Spettro2d (double st, double sw, int NMass)
	Compute the 2d spectrum of.
void	Spettro2d (double st, double *sw, int NMass)
	Compute the 2d spectrum of.
void	SpettroDFT (double st, double sw, int NMass)
	DFT implementation of the spectrum, slow.
void	Radice (double st, double sw, int N)
	Compute the root of the signal.
void	Autocor (bool st, double sAuto, int N)
	Compute the autocorrelation of a boolean signal.
void	Autocor (double st, double sAuto, int NMass)
	Compute the autocorrelation of the signal.
double	Norm (double *st, int NMass)
	Norm of an array.
int	NormalizeArea (double *st, int NMass)
	Normalize.
void	NormalizeVect (double *st, int NMass)
	Normalize.
int	Normalizza (double *st, int NMass)
	Normalize.
int	Normalizza (double st, double sw, int NMass)
	Normalize.
void	Modulo (double st, double sw, int NMass)
	Compute the modulus.
void	MediaMobile (double st, int NMass, double sw, int Parti)
	Running average.
int	MediaMobile (double st, int NMass, double sw, double *sErr, int Parti)
	Running average.
int	CorrelaDuePunti (double st, int NMass, double sw, int Punti)
	Two points correlation.
void	Autosimilarita (double st, int NMass, double sw, int Valori)
	Self similarity.
MOMENTI	Distribuzione (const double *st, int NMass)
	Moments of a signal.
MOMENTI	Distribuzione (const double st, int NMass, double Intervalli, int Valori, int IfNorm)
	Moments and histogram of a signal.
MOMENTI	Distribuzione (const double st, int NMass, double Intervalli, int Valori, double *Confine, int IfNorm)
	Moments and histogram of a signal between two values.
MOMENTI	DistrErr (const double st, int NMass, double Intervalli, double Err, int Valori, double Confine, int IfNorm)
	Moments and histogram of a signal between two values.
MOMENTI	DistribuzioneGauss (const double st, int NMass, double Intervalli, double *dInt, int Valori, int IfNorm)
	Look for the Gaussian distribution.
MOMENTI	DistribuzioneMaxwell (const double st, int NMass, double Intervalli, double *dInt, int Valori, int IfNorm)
	Look for the Maxwellian distribution.
void	DistrSample (double Px, double Py, int NMax, double *Distr, int NBin, const int NSample, int IfNorm, double xBound)
	Compare the distribution of a sample of data.
MOMENTI	WeightAverage (const double sx, const double sy, int NMax)
	Calculate the weighted average.
void	WeightHisto (double *hist, double Border, int NBin, int NHisto, double tolerance, double OrPos, double kSpring)
	Weighted histogram analysis.
void	Sort (double *Sign, int NMass)
	Sort.
void	Swap (int i, int j, double *Sign)
	Swap to indices.
void	Swap (double s, int si, double t, int ti, const int NDim)
	Swap to arrays.
void	Sort (int *Sign, int NMass)
	Sort.
void	Swap (int i, int j, int *Sign)
	Swap to indices.
void	FileSin1d (char *FName)
	Create a file with a sign function.
void	FileSin2d (char *FName)
	Create a file with a sign function in 2d.
void	ConvWeight (double st, int NMax, double sw, int *WIndex, int NWeight)
	Convolute with a weight.
void	FillWeightGauss (double st, int WIndex, int NWeight, double CutOff, double Sigma)
	Fill the weight array with a gaussian fuction.
double	LinInterp (double Px1, double Px2, double Py1, double Py2, double x)
	Linear interpolation between two points.
RETTA	InterRett (double Px, double Py, int NMass)
	Linear interpolation.
RETTA	InterExp (double Px, double Py, int NMass)
	Exponential interpolation.
MOMENTI	InterGauss (double Px, double Py, int NMass)
	Gaussian interpolation.
RETTA	InterRett (double Px, double Py, double *Peso, int NMass)
	Linear weighted interpolation.
PARABOLA	MinimoParabola (double a, double b, double Px, double Py, int NMass)
	Minimum of the Parabola between.
PARABOLA	MinimoParabola (double Px, double Py, int NMass)
	Global minimum interpolating via a Parabola.
SPLINE	Parab (double P1, double P2, double *P3, int x, int y)
	Three points parabolic interpolation.
SPLINE	Parab2 (double PA, double PB, double *PC, int x, int y)
	Three points parabolic interpolation.
CIRCLE	Osculante (double PA, double PB, double *PC, int x, int y)
	Osculant circle.
SPLINE	Cubica (double PA, double PB, double PC, double PD, int x, int y)
	Four point cubic interpolation.
SPLINE	Forth (double PA, double PB, double PC, double PD, double *PE, int x, int y)
	Five points four order interpolation.
SPLINE	Spline3 (double P1, double P2, double *P3, int x, int y)
	Three order spline.
SPLINE	Spline3Beg (double P1, double P2, double *P3, int x, int y)
	Three order spline first boundary.
SPLINE	Spline3End (double P1, double P2, int x, int y)
	Three order spline last boundary.
SPLINE	Spline4Beg (double P1, double P2, double P3, double P4, int x, int y)
	Four order spline first boundary.
SPLINE	Spline4 (double P1, double P2, double P3, double P4, int x, int y)
	Four order spline.
SPLINE	Spline4 (double P1, double P2, double *P3, int x, int y)
	Four order spline.
SPLINE	Spline4PreEnd (double P1, double P2, double *P3, int x, int y)
	Four order spline just before the end.
SPLINE	Spline4End (double P1, double P2, int x, int y)
	Four order spline last boundary.
int	Polinomio (double P1, double P2, int NMass, Spline *Sp)
	Polinimial interpolation of NMass order.
int	DerMatrix (double Px, double Py, int NMass, SPLINE Wg, Spline *Sp)
	Boh.
double	Casuale ()
	Random uniform number.
double	RandDiscrProb (double *Prob, int NBin)
	Random number following a discrete probability.
double	QBezier (double P1, double P2, double *P3, double x, int y)
	QBezier curve of three points.
int	Factorial (int times)
	Computes.
double	Binomial (int times, int n)
	For the BSpline.
double	Blend (const double *dPoint, double x, int nPoint, int nOrder)
	For the BSpline.
double	Blend (double *dPoint, size_t Incr, double x, int nPoint, int nOrder)
	For the BSpline.
int	InterBSpline2D (Matrice MaIn, Matrice MaOut)
	Computes the BSpline of a given.
int	Voronoi ()
	Voronoi tassellation, in progress.
Public Attributes
FUNC	Func
	Pointer to a function.
ELAB	Elab
double	Ypsilon
	External parameter to calculate the contact angle.
double	PreFact
	External parameter in the definition of the contact angle.

Detailed Description

Implementation of useful algorythms.

Definition at line 76 of file Matematica.h.

Member Function Documentation

int ApplyFilter	(	Matrice *	Point,
		Matrice *	Res,
		Matrice *	Mask
	)

Applies the filter.

Parameters:

Mask	on
Point	to
Res

Definition at line 82 of file MatematicaFilter.cpp.

References Matrice::Add(), Matrice::Size(), and Matrice::Val().

Referenced by DrEffect::EffectFilter(), and VarData::SpatialDerivative().

int ApplyFilter	(	Matrice *	Res,
		Matrice *	Mask
	)

Applies the filter.

Parameters:

Mask	on
Res

Definition at line 108 of file MatematicaFilter.cpp.

References Matrice::CopyOn(), Matrice::pNCol(), Matrice::pNRow(), Matrice::Set(), and Matrice::Val().

void ElabSt	(	double *	st,
		double *	sw,
		int	NMass
	)		`[inline]`

Pointer to a function which operates on.

Parameters:

sw	with the data of
st

Definition at line 130 of file Matematica.h.

Referenced by VarDatFile::ElabSegnale().

void Derivata	(	double *	st,
		double *	sw,
		int	NMass
	)

Derivate of.

Parameters:

st

Definition at line 41 of file MatematicaFunc.cpp.

Referenced by Matematica().

void DerO4	(	double *	st,
		double *	sw,
		int	NMass
	)

Derivate O(4) of.

Parameters:

st

Definition at line 46 of file MatematicaFunc.cpp.

Referenced by VarDatFile::DerivataSegnale(), SquareGradient(), and VarDatFile::VarieSegnale().

double Integrazione	(	double *	Punti,
		double *	sw,
		int	NMass
	)

Integral of.

Parameters:

st

Definition at line 30 of file MatematicaFunc.cpp.

Referenced by F(), and VarDatFile::IntSegnale().

double Integrazione	(	double	a,
		double	b
	)

Integrates the function within.

Parameters:

a	and
b

Definition at line 22 of file MatematicaFunc.cpp.

References Evalx().

int Zeri	(	double	a,
		double	b,
		double *	Radici,
		int	NRadici
	)

Find the.

Parameters:

NRadici	zeros of the pointed function between a
a	and
b	using different algorithm

Definition at line 58 of file MatematicaFunc.cpp.

References RADICE::IfRis, RegulaFalsi(), and RADICE::Zero.

Referenced by ElPoly::Angle(), Normalizza(), and ElPoly::RadialShell().

double Gaussiano	(	double	Media,
		double	Scarto
	)

Gaussian random number.

Mersenne Twister + Box-Muller transform.

Definition at line 23 of file MatematicaSign.cpp.

Referenced by VarData::AddChains(), VarData::AddCholesterol(), VarData::AddSolvent(), Forces::AndersenTherm(), Forces::CreateElectro(), Forces::CreateMD(), Forces::CreateSetBond(), VarData::CreateSoft(), VarData::DefRest(), Forces::InsertRest(), Forces::MinimalMD(), Forces::MoveBead(), VarData::PutPart(), Forces::WeightSetBond(), and ElPoly::WidomIn().

void Spettro2d	(	double *	st,
		double *	sw,
		int	NMass
	)

Compute the 2d spectrum of.

Parameters:

st,return the 1d

Definition at line 156 of file MatematicaSign.cpp.

Referenced by ElPoly::SpectrumF(), and VarData::Spettro2d().

void Spettro2d	(	double *	st,
		double **	sw,
		int	NMass
	)

Compute the 2d spectrum of.

Parameters:

st,return the 2d

Definition at line 204 of file MatematicaSign.cpp.

PARABOLA MinimoParabola	(	double	a,
		double	b,
		double *	Px,
		double *	Py,
		int	NMass
	)

Minimum of the Parabola between.

Parameters:

a	and
b

Definition at line 496 of file MatematicaInterp.cpp.

References PARABOLA::a0, PARABOLA::a1, PARABOLA::a2, PARABOLA::Minimo, and PARABOLA::MinimoY.

Referenced by VarDatFile::ParabolaSegnale().

int Factorial ( int times )

Computes.

Parameters:

times!

Definition at line 83 of file Matematica.cpp.

Referenced by Binomial().

int InterBSpline2D	(	Matrice *	MaIn,
		Matrice *	MaOut
	)

Computes the BSpline of a given.

Parameters:

MaIn

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

include/Matematica.h
src/Matematica/Matematica.cpp
src/Matematica/MatematicaFilter.cpp
src/Matematica/MatematicaFunc.cpp
src/Matematica/MatematicaInterp.cpp
src/Matematica/MatematicaSign.cpp

Public Types

Public Member Functions

Public Attributes

Detailed Description

Member Function Documentation