class ntcPlaneFoliation : public ntcFoliation

Description:

ntcPlaneFoliation contains calls to evaluate the homology class (modulo sign) of the 2-tori (if any) relative to a foliation of a Fermi Surface generated by a constant 1-form in the 3-torus

Inheritance:

Public Methods

ntcPlaneFoliation()

~ntcPlaneFoliation()

static ntcPlaneFoliation* New()

const char* GetClassName()

void SetMagneticField( int a, int b, int c )

void GetMagneticField( int H[3] )

void GetMagneticField( float H[3] )

float GetSlopeXZ()

float GetSlopeYZ()

void SetIntegralBasisVectors()

void SetBaseOfSubLattice()

int FindHomologyClass()

ntcLeaf* CutPlaneSection( float point[3], float loX, float upX, float loY, float upY, int Resolution=200 )

int ColorCriticalOrbit( int nOrbit )

void VisualizeClosedLeaves( float point[3], float loX, float upX, float loY, float upY )

void GetHomologyClassOfClosedLeaves( float point[3], float loX, float upX, float loY, float upY )

int Set3DSlice( float point[3], float DeltaZeta=.01, float xMin=0, float xMax=1, float yMin=0, float yMax=1, float zMin=0, float zMax=1, int type = NTC_GENERIC_POINT )

int Set3DSlice( float a, float b, float c, float DeltaZeta=.01, float xMin=0, float xMax=1, float yMin=0, float yMax=1, float zmin=0, float zMax=1, int type = NTC_GENERIC_POINT )

ntcPrimitiveCell* Get3DSlice()

void RotatePoint( float point[3], float rotatedPoint[3] )

void GetRotatedPoint( int pointId, float pointCoord[3], int jumps0, int jumps1 )

int SetCriticalLeaf()

int SetCriticalLeaf( float crPoint[3], int Hz = 100, float xMin = 0, float xMax = 1, float yMin = 0, float yMax = 1, float zMin = 0, float zMax = 1 )

int FindHomology()

int FindHomology( int *Hom )

int FindHomology( ntcPrimitiveCell *leaf, int *Hom, int type = NTC_CRITICAL_LEAF )

int GetOrthogonalGenerators( int basicCylHom[2][4], int ortCylHom[2][4] )

int GetOrthogonalGenerators( int **basicCylHom, int **ortCylHom, int rk )

void PrintHomologyClassesOf3DLoopsHomologousToZeroInSectionPassingThrough( float x, float y, float z )

void PrintHomologyClassesOf3DLoopsHomologousToZeroInSectionPassingThrough( float point[3] )

void PrintHomologyClassesOfLoopsIn3DSlice()

int FindSign( ntcPrimitiveCell *loop )

Protected Fields

int Hx

int Hy

int Hz

float slopeXZ

float slopeYZ

float e[3]

float f[3]

float g[3]

vtkTransform* efTransform

vtkTransform* efTransformInverse

float xLength

ntcAffineMap* map

ntcAffineMap* mapInverse

Inherited from ntcFoliation:

Public Fields

int LoopHom[2][3]

Public Methods

void SetOneForm( ntcOmega *Omega )

ntcOmega* GetOneForm()

void SetHamiltonian( ntcFermiFunction* F )

ntcFermiFunction* GetHamiltonian()

void SetDispersionRelations( ntcImplicitFunction* f )

ntcImplicitFunction* GetDispersionRelations()

void SetDispersionRelations( ntcFUNC f )

void SetDispersionRelationsGradient( ntcFUNC fx, ntcFUNC fy, ntcFUNC fz )

void SetDispersionRelationsHessian( ntcFUNC fxx, ntcFUNC fyy, ntcFUNC fzz, ntcFUNC fxy, ntcFUNC fyz, ntcFUNC fzx )

void SetDispersionRelationsHomologyMethods( ntcHomFUNC *Hom )

void SetDispersionRelationsHomologyMethod( ntcHomMet *Hom )

void SetDispersionRelationsHomologyMethods( ntcHOM *Homol )

void SetFermiEnergy( float En )

void SetFermiSurfaceSampleDimensions( float l, float m, float n )

void SetFermiSurface( int i = 0 )

vtkPolyData* GetFermiSurface()

int GetDirectLatticeType()

void VisualizeFermiSurface()

void SetCriticalCurves()

vtkPolyData* GetCriticalCurves()

virtual void SetCriticalPoints()

int EvaluateIndexOf( ntcPoint *crPoint )

int GetNumberOfSaddles()

float* GetCriticalSaddlePoint( int i )

int GetNumberOfCenters()

float* GetCriticalCenterPoint( int i )

void SetHomologyClass( int Hom[3] )

void GetHomologyClass( int Hom[3] )

int FindPrimitiveCell( float criticalPoint[3], int type )

void SetPrimitiveCell( vtkPolyData* geom )

ntcPrimitiveCell* GetPrimitiveCell()

void WritePrimitiveCell( char *name )

ntcPrimitiveCell* GetCriticalLeaf()

ntcPrimitiveCell* GetCriticalLeaf( int n )

int ConvertLeafToFCC( ntcPrimitiveCell *Leaf, int type = NTC_GENERIC_LEAF, int keep = NTC_DO_NOT_KEEP_ALSO_OUTSIDE_SEGMENTS )

int IncreaseResolution()

void DecreaseResolution()

int GetResolution()

void SetResolution( int Resolution )

int EliminatePointsOutsideBrillouinZone( float center[3], int itIsTheSecondTime=0 )

int EliminatePointsOutsideBrillouinZone( float c0=.5, float c1=.5, float c2=.5, int itIsTheSecondTime=0 )

int ConvertCriticalLeafToFCC( ntcPrimitiveCell *criticalLeaf )

Protected Fields

float Dim[3]

float Energy

int HomologyClass[3]

ntcImplicitFunction* DispersionRelations

vtkPolyData* FermiSurface

vtkPolyData* CriticalCurves

vtkPoints* CriticalSaddlePoints

vtkPoints* CriticalCenterPoints

ntcPrimitiveCell* PrimitiveCell

int NumberOfSaddles

int NumberOfCenters

int LatticeType

ntcLattice* Lattice

ntcPrimitiveCell* criticalLeaf

ntcPrimitiveCell* criticalLeaves[2]

int Resolution

Private Fields

ntcOmega* Omega

ntcPlaneFoliation()

~ntcPlaneFoliation()

static ntcPlaneFoliation* New()

const char* GetClassName()

void SetMagneticField( int a, int b, int c )

Set the components of the _constant_ 1-form.

void GetMagneticField( int H[3] )

Get the components of H as an integer array

void GetMagneticField( float H[3] )

Get the components of H as a float array (of integers :-)

float GetSlopeXZ()

Returns Hx/Hz

float GetSlopeYZ()

Returns Hy/Hz

void SetIntegralBasisVectors()

Find three vectors {e,f,g} s.t. e and f generate a Primitive Cell and g = e x f.

void SetBaseOfSubLattice()

Find a base of the 2-dim sublattice when the lattice is not the cubic one.

int FindHomologyClass()

Evaluates the homology class of the 2-torus (if any).

ntcLeaf* CutPlaneSection( float point[3], float loX, float upX, float loY, float upY, int Resolution=200 )

Cut a plane section of the Fermi Surface with a plane perpendicular to H. A pointer to the leaf obtained is returned. The plane section is projected over a "coordinate" square whose sides cut the coordinate axes in loX, upX, loY, upY.

int ColorCriticalOrbit( int nOrbit )

Put colors on the critical leaf in the 2D model

void VisualizeClosedLeaves( float point[3], float loX, float upX, float loY, float upY )

Visualize just the closed leaves of a plane section of the Fermi Surface perpendicular to H. The plane section is projected over a "coordinate" square whose sides cut the coordinate axes in loX, upX, loY, upY.

void GetHomologyClassOfClosedLeaves( float point[3], float loX, float upX, float loY, float upY )

Evaluate the homology classes of all closed leaves of a plane section of the Fermi Surface perpendicular to H. The plane section is projected over a "coordinate" square whose sides cut the coordinate axes in loX, upX, loY, upY.

int Set3DSlice( float point[3], float DeltaZeta=.01, float xMin=0, float xMax=1, float yMin=0, float yMax=1, float zMin=0, float zMax=1, int type = NTC_GENERIC_POINT )

Find the slice (in the 3D method) passing through the point point[3] in the cube defined by [xMin,xMax]x[yMin,yMax]x[zMin,zMax]. All planes cutting the cube and with a distance form the one passing through point[3] that is multiple of DeltaZeta are considered. To get a well-defined slice DeltaZeta must be a submultiple of Hz. The type of a point can be NTC_GENERIC_POINT or NTC_CRITICAL_POINT.

int Set3DSlice( float a, float b, float c, float DeltaZeta=.01, float xMin=0, float xMax=1, float yMin=0, float yMax=1, float zmin=0, float zMax=1, int type = NTC_GENERIC_POINT )

Check above...

ntcPrimitiveCell* Get3DSlice()

Get the slice found above

void RotatePoint( float point[3], float rotatedPoint[3] )

Used in the 2D method to apply the matrix efTransformInverse to a point. The idea is that the 2-dim fundamental domains are usually not squares but vtkSample samples just squares, so we use efTransform to map the fundamental region in a suqare and back.

void GetRotatedPoint( int pointId, float pointCoord[3], int jumps0, int jumps1 )

This routine makes the same job as RotatePoint but also for points that are not in the fundamental domain but in its copy that is jumps0 far in the x direction and jumps1 in the y direction

int SetCriticalLeaf()

Not anymore used. Going to be eliminated soon...

int SetCriticalLeaf( float crPoint[3], int Hz = 100, float xMin = 0, float xMax = 1, float yMin = 0, float yMax = 1, float zMin = 0, float zMax = 1 )

Set the critical leaf extracting the loop homologous to 0 in T^3 if the critical pointis half closed loop and both of them if is completely open. ToDo: add the possibility of extracting the 2 critical loops when the critical point is fully closed!

int FindHomology()

Find the homology class of the critical Leaf in case of a half closed critical point and print it in STDOUT

int FindHomology( int *Hom )

Find the homology class of the critical Leaf in case of a half closed critical point and puts it in *Hom for succesive manipulation

int FindHomology( ntcPrimitiveCell *leaf, int *Hom, int type = NTC_CRITICAL_LEAF )

Find the homology class of *leaf. It makes more sense if *leaf is closed. Stores the result in *Hom

int GetOrthogonalGenerators( int basicCylHom[2][4], int ortCylHom[2][4] )

Find the generators of the sublattice of Hom¹(FS,Z) defined by basicCylHom[0].l=0, basicCylHom[1].l=0 [there could be 1 or 2 basicCylHom. If just one of them is present it must be stored in basicCylHom[0] and all components of basicCylHom[1] must be put to 0]. The 2 base vectors found (if any) are stored in ortCylHom[2]. Warning: it is good just for genus 4 surfaces!!!

int GetOrthogonalGenerators( int **basicCylHom, int **ortCylHom, int rk )

Find the generators of the sublattice of Hom¹(FS,Z) defined by basicCylHom[0].l=0, basicCylHom[1].l=0 [there could be 1 or 2 basicCylHom. If just one of them is present it must be stored in basicCylHom[0] and all components of basicCylHom[1] must be put to 0]. The 2 base vectors found (if any) are stored in ortCylHom[2].

void PrintHomologyClassesOf3DLoopsHomologousToZeroInSectionPassingThrough( float x, float y, float z )

Get the homology classes of loops homologous to zero passing through point[3]

void PrintHomologyClassesOf3DLoopsHomologousToZeroInSectionPassingThrough( float point[3] )

Get the homology classes of loops homologous to zero passing through point[3]

void PrintHomologyClassesOfLoopsIn3DSlice()

Get the homology classes of loops contained in 3DSlice

int FindSign( ntcPrimitiveCell *loop )

Find the sign of loop (must be a closed loop of the foliation or the result won't have any meaning!!! The leaf must be in the [0,1]^3 cube!)

int Hx

int Hy

int Hz

float slopeXZ

float slopeYZ

float e[3]

float f[3]

float g[3]

vtkTransform* efTransform

vtkTransform* efTransformInverse

float xLength

Length of the first lattice vector in the Current[3] direction

ntcAffineMap* map

ntcAffineMap* mapInverse

This class has no child classes.

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