class ntcCos3D : public ntcFermiFunction

Description:

ntcCos3D is the simpler trigonometric 3ply periodic function giving rise to a genus 3 surface in the 3-torus

Inheritance:

Public Methods

ntcCos3D()

~ntcCos3D()

static ntcCos3D* New()

virtual const char* GetClassName()

virtual void fGrad( float x[3], float grad[3] )

virtual void fHessian( float x[3], float hessian[3][3] )

virtual int HomologyMethods( int cycle, ntcPrimitiveCell *leaf, float H[3], int &intersectionNumber, int type = NTC_CRITICAL_LEAF )

virtual int HomologyMethods( int cycle, ntcPrimitiveCell *leaf, ntcFunction *oneForm, int &intersectionNumber, int type = NTC_CRITICAL_LEAF )

virtual int HomologyMethods2D( int i, float firstPoint[3], float secondPoint[3] )

void SetCoefficients( float a, float b, float c, float d, float e, float f )

float* GetCoefficients()

void SetPhases( float a, float b, float c )

float* GetPhases()

virtual void SetCycleInversionOn( int cycle )

virtual void SetCyclesInversionOff()

virtual int SetGenus( float En )

Public

The function

virtual float f( float x[3] )

Its gradient

virtual float fX( float x[3] )

virtual float fY( float x[3] )

virtual float fZ( float x[3] )

Its Hessian

virtual float fXX( float x[3] )

virtual float fYY( float x[3] )

virtual float fZZ( float x[3] )

virtual float fXY( float x[3] )

virtual float fYZ( float x[3] )

virtual float fZX( float x[3] )

Private Fields

float a[6]

float b[3]

Inherited from ntcFermiFunction:

Public Methods

virtual void I( int *LoopHomologyClass, int *LoopHom )

int GetGenus()

int GetLatticeType()

Inherited from ntcFunction:

ntcCos3D()

~ntcCos3D()

static ntcCos3D* New()

virtual const char* GetClassName()

The function

virtual float f( float x[3] )

Its gradient

virtual float fX( float x[3] )

virtual float fY( float x[3] )

virtual float fZ( float x[3] )

Its Hessian

virtual float fXX( float x[3] )

virtual float fYY( float x[3] )

virtual float fZZ( float x[3] )

virtual float fXY( float x[3] )

virtual float fYZ( float x[3] )

virtual float fZX( float x[3] )

virtual void fGrad( float x[3], float grad[3] )

virtual void fHessian( float x[3], float hessian[3][3] )

virtual int HomologyMethods( int cycle, ntcPrimitiveCell *leaf, float H[3], int &intersectionNumber, int type = NTC_CRITICAL_LEAF )

Cos3D homology methods for foliations induced by a constant 1-form

virtual int HomologyMethods( int cycle, ntcPrimitiveCell *leaf, ntcFunction *oneForm, int &intersectionNumber, int type = NTC_CRITICAL_LEAF )

Cos3D homology methods for foliations induced by any 1-form

virtual int HomologyMethods2D( int i, float firstPoint[3], float secondPoint[3] )

void SetCoefficients( float a, float b, float c, float d, float e, float f )

float* GetCoefficients()

void SetPhases( float a, float b, float c )

float* GetPhases()

virtual void SetCycleInversionOn( int cycle )

virtual void SetCyclesInversionOff()

virtual int SetGenus( float En )

float a[6]

float b[3]

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