LSProblem< dim > Class Template Reference

#include <LSProblem.H>

List of all members.

template<int dim>
class LSProblem< dim >

Public Member Functions
	~LSProblem ()
	LSProblem (const int &a_degreeP, const bool &a_useConstraints)
	LSProblem (const int &a_orderAccuracy, const int &a_degreeP, const bool &a_useConstraints, const IndexTM< Real, dim > &a_normal)
int	invertNormalEq (const Vector< Real > &a_rhs, Vector< Real > &a_residual)
int	getDegree ()
int	getOrderAccuracy ()
void	getMatrix (Real **a_matrix)
void	getRhs (Vector< Real > &a_rhs)
void	getUnknowns (Vector< Real > &a_unknown)
void	monoMaxMin (Real &a_maxVal, Real &a_minVal, const IndexTM< int, dim > &a_mono, const IFData< dim > &a_IFData)
void	computeBounds (const IndexTM< Real, dim > &a_dx, const CutCellMoments< dim > &a_ccm)
void	print (ostream &a_out) const
void	outputMatrix () const
void	outputRhs () const
void	outputUnknowns () const
void	outputBounds () const
const LocPthMoment &	getLocMonomialMapDegreeP () const
const PthMomentLoc &	getMonomialLocMapDegreeP () const
const PthMomentLoc &	getMonomialLocMapDegreePLess1 () const
Real	getUnknown (int loc)
int	getNumberDegP ()
int	getNumberDegPLess1 ()
int	numActiveBounds () const
Private Types
typedef IndexTM< int, dim >	IvDim
typedef map< IvDim, int, LexLT < IvDim > >	PthMomentLoc
typedef map< int, IvDim >	LocPthMoment
Private Member Functions
void	setRhs (const Vector< Real > &a_rhs)
void	setMatrix ()
void	momentBounds (Real &a_lobnd, Real &a_hibnd, const IvDim &a_mono, const IFData< dim > &a_ifData)
void	differentiate (int &a_coeff, IvDim &a_Dmono, int &a_idir, const IvDim &a_mono)
int	nChooseR (int a_n, int a_r)
void	fillMap (PthMomentLoc &a_monoLoc, LocPthMoment &a_locMono, const int &a_degree)
int	numMonomials (const int &a_monoDegree)
int	factorial (const int &a_n, const int &a_m=0)
void	allocArray (const int &a_rows, const int &a_cols, Real **&a_A)
void	freeArray (const int &a_rows, const int &a_cols, Real **&a_A)
Private Attributes
int	m_order
int	m_degreeP
int	m_numActiveBounds
bool	m_useConstraints
IndexTM< Real, dim >	m_normal
PthMomentLoc	m_monoLocP
LocPthMoment	m_locMonoP
int	m_numP
PthMomentLoc	m_monoLocPLess1
LocPthMoment	m_locMonoPLess1
int	m_numPLess1
Real **	m_matrix
Vector< Real >	m_unknowns
Vector< Real >	m_rhs
Vector< Real >	m_lowerBound
Vector< Real >	m_upperBound

---

Member Typedef Documentation

template<int dim>

typedef IndexTM<int,dim> LSProblem< dim >::IvDim [private]

template<int dim>

typedef map<IvDim,int,LexLT <IvDim> > LSProblem< dim >::PthMomentLoc [private]

template<int dim>

typedef map<int,IvDim> LSProblem< dim >::LocPthMoment [private]

---

Constructor & Destructor Documentation

template<int dim>

LSProblem< dim >::~LSProblem

(

)

[inline]

References dim, LSProblem< dim >::freeArray(), LSProblem< dim >::m_matrix, LSProblem< dim >::m_numP, and LSProblem< dim >::m_numPLess1.

template<int dim>

LSProblem< dim >::LSProblem	(	const int &	a_degreeP,
		const bool &	a_useConstraints
	)			[inline]

References LSProblem< dim >::fillMap(), LSProblem< dim >::m_degreeP, LSProblem< dim >::m_locMonoP, LSProblem< dim >::m_locMonoPLess1, LSProblem< dim >::m_matrix, LSProblem< dim >::m_monoLocP, LSProblem< dim >::m_monoLocPLess1, LSProblem< dim >::m_numP, LSProblem< dim >::m_numPLess1, and LSProblem< dim >::numMonomials().

template<int dim>

LSProblem< dim >::LSProblem	(	const int &	a_orderAccuracy,
		const int &	a_degreeP,
		const bool &	a_useConstraints,
		const IndexTM< Real, dim > &	a_normal
	)			[inline]

References dim, LSProblem< dim >::fillMap(), LSProblem< dim >::m_degreeP, LSProblem< dim >::m_locMonoP, LSProblem< dim >::m_locMonoPLess1, LSProblem< dim >::m_lowerBound, LSProblem< dim >::m_monoLocP, LSProblem< dim >::m_monoLocPLess1, LSProblem< dim >::m_numP, LSProblem< dim >::m_numPLess1, LSProblem< dim >::m_rhs, LSProblem< dim >::m_unknowns, LSProblem< dim >::m_upperBound, LSProblem< dim >::numMonomials(), and LSProblem< dim >::setMatrix().

---

Member Function Documentation

template<int dim>

int LSProblem< dim >::invertNormalEq	(	const Vector< Real > &	a_rhs,
		Vector< Real > &	a_residual
	)			[inline]

References Abs(), dim, MayDay::Error(), ConstrainedLS::INCONSISTENT_BOUNDS, LSquares::LeastSquares(), LSProblem< dim >::m_lowerBound, LSProblem< dim >::m_matrix, LSProblem< dim >::m_numActiveBounds, LSProblem< dim >::m_numP, LSProblem< dim >::m_numPLess1, LSProblem< dim >::m_rhs, LSProblem< dim >::m_unknowns, LSProblem< dim >::m_upperBound, LSProblem< dim >::m_useConstraints, ConstrainedLS::numberActiveConstraints(), pout(), Vector< T >::resize(), ConstrainedLS::SINGULAR, ConstrainedLS::solveBoundConstrained(), ConstrainedLS::SUCCESS, ConstrainedLS::UNCONVERGED, and ConstrainedLS::UNDERDETERMINED.

Referenced by ComputeCutCellMoments< dim >::computeMoments().

template<int dim>

int LSProblem< dim >::getDegree

(

)

[inline]

References LSProblem< dim >::m_degreeP.

template<int dim>

int LSProblem< dim >::getOrderAccuracy

(

)

[inline]

References LSProblem< dim >::m_order.

template<int dim>

void LSProblem< dim >::getMatrix

(

Real **

a_matrix

)

template<int dim>

void LSProblem< dim >::getRhs

(

Vector< Real > &

a_rhs

)

template<int dim>

void LSProblem< dim >::getUnknowns

(

Vector< Real > &

a_unknown

)

template<int dim>

void LSProblem< dim >::monoMaxMin	(	Real &	a_maxVal,
		Real &	a_minVal,
		const IndexTM< int, dim > &	a_mono,
		const IFData< dim > &	a_IFData
	)			[inline]

References dim, IFData< dim >::m_cellCenterCoord, IFData< dim >::m_cornerSigns, and IFData< dim >::m_localCoord.

Referenced by LSProblem< dim >::computeBounds().

template<int dim>

void LSProblem< dim >::computeBounds	(	const IndexTM< Real, dim > &	a_dx,
		const CutCellMoments< dim > &	a_ccm
	)			[inline]

References BDID_DIR, dim, LARGEREALVAL, CutCellMoments< dim >::m_bdCutCellMoments, LSProblem< dim >::m_degreeP, CutCellMoments< dim >::m_EBmoments, CutCellMoments< dim >::m_IFData, LSProblem< dim >::m_lowerBound, CutCellMoments< dim >::m_moments, LSProblem< dim >::m_monoLocPLess1, LSProblem< dim >::m_numP, LSProblem< dim >::m_upperBound, Max(), Min(), LSProblem< dim >::momentBounds(), LSProblem< dim >::monoMaxMin(), IndexTM< T, N >::sum(), VolMoment, and IndexTM< T, N >::Zero.

Referenced by ComputeCutCellMoments< dim >::computeMoments().

template<int dim>

void LSProblem< dim >::print

(

ostream &

a_out

)

const [inline]

References dim, LSProblem< dim >::m_degreeP, LSProblem< dim >::m_locMonoP, LSProblem< dim >::m_locMonoPLess1, LSProblem< dim >::m_monoLocP, LSProblem< dim >::m_monoLocPLess1, LSProblem< dim >::outputBounds(), LSProblem< dim >::outputMatrix(), LSProblem< dim >::outputRhs(), and LSProblem< dim >::outputUnknowns().

Referenced by ComputeCutCellMoments< dim >::computeMoments(), and operator<<().

template<int dim>

void LSProblem< dim >::outputMatrix

(

)

const [inline]

References dim, LSProblem< dim >::m_locMonoP, LSProblem< dim >::m_locMonoPLess1, LSProblem< dim >::m_matrix, and pout().

Referenced by LSProblem< dim >::print().

template<int dim>

void LSProblem< dim >::outputRhs

(

)

const [inline]

References LSProblem< dim >::m_rhs, and pout().

Referenced by LSProblem< dim >::print().

template<int dim>

void LSProblem< dim >::outputUnknowns

(

)

const [inline]

References LSProblem< dim >::m_unknowns, and pout().

Referenced by LSProblem< dim >::print().

template<int dim>

void LSProblem< dim >::outputBounds

(

)

const [inline]

References LSProblem< dim >::m_lowerBound, LSProblem< dim >::m_unknowns, LSProblem< dim >::m_upperBound, LSProblem< dim >::m_useConstraints, and pout().

Referenced by LSProblem< dim >::print().

template<int dim>

const LocPthMoment& LSProblem< dim >::getLocMonomialMapDegreeP

(

)

const [inline]

References LSProblem< dim >::m_locMonoP.

Referenced by ComputeCutCellMoments< dim >::computeRhs().

template<int dim>

const PthMomentLoc& LSProblem< dim >::getMonomialLocMapDegreeP

(

)

const [inline]

References LSProblem< dim >::m_monoLocP.

Referenced by CutCellMoments< dim >::addBdMoments(), and ComputeCutCellMoments< dim >::computeMoments().

template<int dim>

const PthMomentLoc& LSProblem< dim >::getMonomialLocMapDegreePLess1

(

)

const [inline]

References LSProblem< dim >::m_monoLocPLess1.

Referenced by CutCellMoments< dim >::addBdMoments(), and ComputeCutCellMoments< dim >::computeMoments().

template<int dim>

Real LSProblem< dim >::getUnknown

(

int

loc

)

[inline]

References LSProblem< dim >::m_unknowns.

Referenced by ComputeCutCellMoments< dim >::computeMoments().

template<int dim>

int LSProblem< dim >::getNumberDegP

(

)

[inline]

References LSProblem< dim >::m_numP.

Referenced by ComputeCutCellMoments< dim >::computeMoments(), and ComputeCutCellMoments< dim >::computeRhs().

template<int dim>

int LSProblem< dim >::getNumberDegPLess1

(

)

[inline]

References LSProblem< dim >::m_numPLess1.

template<int dim>

int LSProblem< dim >::numActiveBounds

(

)

const [inline]

References LSProblem< dim >::m_numActiveBounds.

Referenced by ComputeCutCellMoments< dim >::computeMoments().

template<int dim>

void LSProblem< dim >::setRhs

(

const Vector< Real > &

a_rhs

)

[inline, private]

template<int dim>

void LSProblem< dim >::setMatrix

(

)

[inline, private]

References MayDay::Abort(), LSProblem< dim >::allocArray(), LSProblem< dim >::differentiate(), dim, LARGEINTVAL, LSProblem< dim >::m_matrix, LSProblem< dim >::m_monoLocP, LSProblem< dim >::m_monoLocPLess1, LSProblem< dim >::m_normal, LSProblem< dim >::m_numP, and LSProblem< dim >::m_numPLess1.

Referenced by LSProblem< dim >::LSProblem().

template<int dim>

void LSProblem< dim >::momentBounds	(	Real &	a_lobnd,
		Real &	a_hibnd,
		const IvDim &	a_mono,
		const IFData< dim > &	a_ifData
	)			[inline, private]

References dim, IFData< dim >::m_cellCenterCoord, IFData< dim >::m_cornerSigns, and IFData< dim >::m_localCoord.

Referenced by LSProblem< dim >::computeBounds().

template<int dim>

void LSProblem< dim >::differentiate	(	int &	a_coeff,
		IvDim &	a_Dmono,
		int &	a_idir,
		const IvDim &	a_mono
	)			[inline, private]

References MayDay::Abort(), dim, and LARGEINTVAL.

Referenced by LSProblem< dim >::setMatrix().

template<int dim>

int LSProblem< dim >::nChooseR	(	int	a_n,
		int	a_r
	)			[inline, private]

template<int dim>

void LSProblem< dim >::fillMap	(	PthMomentLoc &	a_monoLoc,
		LocPthMoment &	a_locMono,
		const int &	a_degree
	)			[inline, private]

References generateMultiIndices(), and Vector< T >::size().

Referenced by LSProblem< dim >::LSProblem().

template<int dim>

int LSProblem< dim >::numMonomials

(

const int &

a_monoDegree

)

[inline, private]

References dim, LSProblem< dim >::factorial(), and LARGEINTVAL.

Referenced by LSProblem< dim >::LSProblem().

template<int dim>

int LSProblem< dim >::factorial	(	const int &	a_n,
		const int &	a_m = 0
	)			[inline, private]

References MayDay::Abort().

Referenced by LSProblem< dim >::numMonomials().

template<int dim>

void LSProblem< dim >::allocArray	(	const int &	a_rows,
		const int &	a_cols,
		Real **&	a_A
	)			[inline, private]

Referenced by LSProblem< dim >::setMatrix().

template<int dim>

void LSProblem< dim >::freeArray	(	const int &	a_rows,
		const int &	a_cols,
		Real **&	a_A
	)			[inline, private]

Referenced by LSProblem< dim >::~LSProblem().

---

Member Data Documentation

template<int dim>

int LSProblem< dim >::m_order [private]

Referenced by LSProblem< dim >::getOrderAccuracy().

template<int dim>

int LSProblem< dim >::m_degreeP [private]

Referenced by LSProblem< dim >::computeBounds(), LSProblem< dim >::getDegree(), LSProblem< dim >::LSProblem(), and LSProblem< dim >::print().

template<int dim>

int LSProblem< dim >::m_numActiveBounds [private]

Referenced by LSProblem< dim >::invertNormalEq(), and LSProblem< dim >::numActiveBounds().

template<int dim>

bool LSProblem< dim >::m_useConstraints [private]

Referenced by LSProblem< dim >::invertNormalEq(), and LSProblem< dim >::outputBounds().

template<int dim>

IndexTM<Real,dim> LSProblem< dim >::m_normal [private]

Referenced by LSProblem< dim >::setMatrix().

template<int dim>

PthMomentLoc LSProblem< dim >::m_monoLocP [private]

Referenced by ComputeCutCellMoments< dim >::computeResiduals(), LSProblem< dim >::getMonomialLocMapDegreeP(), LSProblem< dim >::LSProblem(), LSProblem< dim >::print(), and LSProblem< dim >::setMatrix().

template<int dim>

LocPthMoment LSProblem< dim >::m_locMonoP [private]

Referenced by LSProblem< dim >::getLocMonomialMapDegreeP(), LSProblem< dim >::LSProblem(), LSProblem< dim >::outputMatrix(), and LSProblem< dim >::print().

template<int dim>

int LSProblem< dim >::m_numP [private]

Referenced by LSProblem< dim >::computeBounds(), ComputeCutCellMoments< dim >::computeResiduals(), LSProblem< dim >::getNumberDegP(), LSProblem< dim >::invertNormalEq(), LSProblem< dim >::LSProblem(), LSProblem< dim >::setMatrix(), and LSProblem< dim >::~LSProblem().

template<int dim>

PthMomentLoc LSProblem< dim >::m_monoLocPLess1 [private]

Referenced by LSProblem< dim >::computeBounds(), ComputeCutCellMoments< dim >::computeResiduals(), LSProblem< dim >::getMonomialLocMapDegreePLess1(), LSProblem< dim >::LSProblem(), LSProblem< dim >::print(), and LSProblem< dim >::setMatrix().

template<int dim>

LocPthMoment LSProblem< dim >::m_locMonoPLess1 [private]

Referenced by LSProblem< dim >::LSProblem(), LSProblem< dim >::outputMatrix(), and LSProblem< dim >::print().

template<int dim>

int LSProblem< dim >::m_numPLess1 [private]

Referenced by ComputeCutCellMoments< dim >::computeResiduals(), LSProblem< dim >::getNumberDegPLess1(), LSProblem< dim >::invertNormalEq(), LSProblem< dim >::LSProblem(), LSProblem< dim >::setMatrix(), and LSProblem< dim >::~LSProblem().

template<int dim>

Real** LSProblem< dim >::m_matrix [private]

Referenced by ComputeCutCellMoments< dim >::computeResiduals(), LSProblem< dim >::invertNormalEq(), LSProblem< dim >::LSProblem(), LSProblem< dim >::outputMatrix(), LSProblem< dim >::setMatrix(), and LSProblem< dim >::~LSProblem().

template<int dim>

Vector<Real> LSProblem< dim >::m_unknowns [private]

Referenced by LSProblem< dim >::getUnknown(), LSProblem< dim >::invertNormalEq(), LSProblem< dim >::LSProblem(), LSProblem< dim >::outputBounds(), and LSProblem< dim >::outputUnknowns().

template<int dim>

Vector<Real> LSProblem< dim >::m_rhs [private]

Referenced by LSProblem< dim >::invertNormalEq(), LSProblem< dim >::LSProblem(), and LSProblem< dim >::outputRhs().

template<int dim>

Vector<Real> LSProblem< dim >::m_lowerBound [private]

Referenced by LSProblem< dim >::computeBounds(), LSProblem< dim >::invertNormalEq(), LSProblem< dim >::LSProblem(), and LSProblem< dim >::outputBounds().

template<int dim>

Vector<Real> LSProblem< dim >::m_upperBound [private]

Referenced by LSProblem< dim >::computeBounds(), LSProblem< dim >::invertNormalEq(), LSProblem< dim >::LSProblem(), and LSProblem< dim >::outputBounds().

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

• LSProblem.H
• LSProblemImplem.H