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Allink
v0.1
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Implementation of useful algorythms. More...
#include <Matematica.h>
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. More... | |
| int | ApplyFilter (Matrice *Res, Matrice *Mask) |
| Applies the filter. More... | |
| 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. More... | |
| void | Derivata (double *st, double *sw, int NMass) |
| Derivate of. More... | |
| void | DerO4 (double *st, double *sw, int NMass) |
| Derivate O(4) of. More... | |
| double | Integrazione (double *Punti, double *sw, int NMass) |
| Integral of. More... | |
| 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. More... | |
| double | IntegrazioneGauss (double a, double b, double Scarto) |
| Itegrate a Gaussian. | |
| int | Zeri (double a, double b, double *Radici, int NRadici) |
| Find the. More... | |
| 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. More... | |
| void | Spettro (double *st, double *sw, int NMass) |
| Compute the spectrum. | |
| void | Spettro2d (double *st, double *sw, int NMass) |
| Compute the 2d spectrum of. More... | |
| void | Spettro2d (double *st, double **sw, int NMass) |
| Compute the 2d spectrum of. More... | |
| 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. More... | |
| 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. More... | |
| 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. More... | |
| 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. | |
Implementation of useful algorythms.
Definition at line 76 of file Matematica.h.
Applies the filter.
| Mask | on |
| Point | to |
| Res |
Definition at line 82 of file MatematicaFilter.cpp.
References Matrice::Add(), Matrice::Size(), and Matrice::Val().
Referenced by DrEffect::EffectCoarseGrain(), DrEffect::EffectFilter(), and VarData::SpatialDerivative().
Applies the filter.
| Mask | on |
| Res |
Definition at line 108 of file MatematicaFilter.cpp.
References Matrice::CopyOn(), Matrice::pNCol(), Matrice::pNRow(), Matrice::Set(), and Matrice::Val().
|
inline |
Pointer to a function which operates on.
| 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.
| st |
Definition at line 41 of file MatematicaFunc.cpp.
Referenced by Matematica().
| void DerO4 | ( | double * | st, |
| double * | sw, | ||
| int | NMass | ||
| ) |
Derivate O(4) of.
| 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.
| 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.
| 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.
| 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.
| st,return | the 1d |
Definition at line 156 of file MatematicaSign.cpp.
Referenced by RandDiscrProb(), ElPoly::SpectrumF(), and VarData::Spettro2d().
| void Spettro2d | ( | double * | st, |
| double ** | sw, | ||
| int | NMass | ||
| ) |
Compute the 2d spectrum of.
| 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.
| 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 the BSpline of a given.
| MaIn |
1.8.11