Multidimensional polynomial function. More...

#include <TMultidimensionalPolynomial.h>

Inheritance diagram for imath::TMultidimensionalPolynomial< Dimensions, Element >:

Public Types
typedef imath::TIMathFunction< TVector< Dimensions >, Element >	BaseClass

typedef istd::TArray< Element, Dimensions >	Coefficients

typedef Coefficients::SizesType	CoeffGridSize

Public Types inherited from imath::TIMathFunction< Argument, Result >
typedef Argument	ArgumentType

typedef Result	ResultType

Public Types inherited from istd::IChangeable
enum	ChangeFlags { CF_ACF_INTERNAL = 0 , CF_ALL_DATA , CF_ANY , CF_DESTROYING , CF_DELEGATED , CF_NO_UNDO }
	Data model change notification flags. More...

enum	SupportedOperations { SO_NONE = 0 , SO_OBSERVE = 1 << 0 , SO_COPY = 1 << 1 , SO_CLONE = 1 << 2 , SO_COMPARE = 1 << 3 , SO_RESET = 1 << 4 }
	Flags for supported operations. More...

enum	CompatibilityMode { CM_STRICT , CM_WITHOUT_REFS , CM_WITH_REFS , CM_CONVERT }
	Control how relationship betweeen objects are interpreted. More...

typedef QMultiMap< QByteArray, QVariant >	ChangeInfoMap

Public Member Functions
	TMultidimensionalPolynomial ()

	TMultidimensionalPolynomial (const Coefficients &coefficients)

const Coefficients &	GetCoefficients () const

void	SetCoefficients (const Coefficients &coefficients)

bool	ApproximateCoefficientsFromFulcrums (const CoeffGridSize &coeffGridSize, const ArgumentType arguments, const ResultType destValues, int count)

virtual bool	GetValueAt (const ArgumentType &argument, ResultType &result) const override
	Get function value for specified argument value.

virtual ResultType	GetValueAt (const ArgumentType &argument) const override
	Get function value for specified argument value.

virtual bool	Serialize (iser::IArchive &archive) override
	Load or store state of this object as a archive stream.

TMultidimensionalPolynomial< 1, double >::ResultType	GetValueAt (const ArgumentType &argument) const
	Get function value for specified argument value.

TMultidimensionalPolynomial< 2, double >::ResultType	GetValueAt (const ArgumentType &argument) const
	Get function value for specified argument value.

TMultidimensionalPolynomial< 3, double >::ResultType	GetValueAt (const ArgumentType &argument) const
	Get function value for specified argument value.

Public Member Functions inherited from istd::IPolymorphic
virtual	~IPolymorphic ()

Public Member Functions inherited from iser::ISerializable
virtual quint32	GetMinimalVersion (int versionId) const
	Get minimal needed version to correct storing of this data.

Public Member Functions inherited from istd::IChangeable
virtual int	GetSupportedOperations () const
	Get set of flags for supported operations.

virtual bool	CopyFrom (const IChangeable &object, CompatibilityMode mode=CM_WITHOUT_REFS)
	Copy this object from another one.

virtual bool	IsEqual (const IChangeable &object) const
	Compare this object with another object.

virtual istd::TUniqueInterfacePtr< istd::IChangeable >	CloneMe (CompatibilityMode mode=CM_WITHOUT_REFS) const
	Make a copy of this object.

virtual bool	ResetData (CompatibilityMode mode=CM_WITHOUT_REFS)
	Reset data to its default state.

virtual void	BeginChanges (const ChangeSet &changeSet)
	Starts the change transaction.

virtual void	EndChanges (const ChangeSet &changeSet)
	Ends the change transaction.

virtual void	BeginChangeGroup (const ChangeSet &changeSet)
	Starts group of changes.

virtual void	EndChangeGroup (const ChangeSet &changeSet)
	Ends group of changes.

Static Public Member Functions
static double	GetBaseFunctionValue (const ArgumentType &argument, const istd::TIndex< Dimensions > &coeffIndex)
	Get value of base function for single coefficient.

Static Public Member Functions inherited from istd::IChangeable
static const ChangeSet &	GetNoChanges ()
	Get empty set of changes.

static const ChangeSet &	GetAnyChange ()
	Get anonymous change set.

static const ChangeSet &	GetAllChanges ()
	Get anonymous change set.

static const ChangeSet &	GetDelegatedChanges ()
	Get delegated change set.

Protected Member Functions
void	CumulateRecursiveValueAt (const ArgumentType &argument, int dimension, typename istd::TIndex< Dimensions > &index, ResultType &result) const
	Cumulate interpolated value or derivative at specified recursion level.

Protected Member Functions inherited from istd::IChangeable
virtual void	OnBeginChanges ()
	Callback function for begin change event.

virtual void	OnEndChanges (const ChangeSet &changeSet)
	Callback function for end change event.

Detailed Description

template<int Dimensions, class Element = double>
class imath::TMultidimensionalPolynomial< Dimensions, Element >

Multidimensional polynomial function.

Parameters

Dimensions	number of dimensions.
Element	type of result value.

Definition at line 23 of file TMultidimensionalPolynomial.h.

Member Typedef Documentation

◆ BaseClass

template<int Dimensions, class Element = double>

typedef imath::TIMathFunction<TVector<Dimensions>, Element> imath::TMultidimensionalPolynomial< Dimensions, Element >::BaseClass

Definition at line 28 of file TMultidimensionalPolynomial.h.

◆ CoeffGridSize

template<int Dimensions, class Element = double>

typedef Coefficients::SizesType imath::TMultidimensionalPolynomial< Dimensions, Element >::CoeffGridSize

Definition at line 30 of file TMultidimensionalPolynomial.h.

◆ Coefficients

template<int Dimensions, class Element = double>

typedef istd::TArray<Element, Dimensions> imath::TMultidimensionalPolynomial< Dimensions, Element >::Coefficients

Definition at line 29 of file TMultidimensionalPolynomial.h.

Constructor & Destructor Documentation

◆ TMultidimensionalPolynomial() [1/2]

template<int Dimensions, class Element >

imath::TMultidimensionalPolynomial< Dimensions, Element >::TMultidimensionalPolynomial ( )

Definition at line 81 of file TMultidimensionalPolynomial.h.

◆ TMultidimensionalPolynomial() [2/2]

template<int Dimensions, class Element >

imath::TMultidimensionalPolynomial< Dimensions, Element >::TMultidimensionalPolynomial ( const Coefficients & coefficients )

explicit

Definition at line 87 of file TMultidimensionalPolynomial.h.

Member Function Documentation

◆ ApproximateCoefficientsFromFulcrums()

template<int Dimensions, class Element >

bool imath::TMultidimensionalPolynomial< Dimensions, Element >::ApproximateCoefficientsFromFulcrums	(	const CoeffGridSize &	coeffGridSize,
		const ArgumentType *	arguments,
		const ResultType *	destValues,
		int	count
	)

Definition at line 108 of file TMultidimensionalPolynomial.h.

References istd::TArray< Element, Dimensions >::GetAt(), istd::TIndex< Dimensions >::GetProductVolume(), istd::TArray< Element, Dimensions >::GetSizes(), imath::CVarMatrix::GetSolvedLSP(), istd::TIndex< Dimensions >::Increase(), istd::TIndex< Dimensions >::IsSizeEmpty(), istd::TArray< Element, Dimensions >::SetAt(), and istd::TArray< Element, Dimensions >::SetSizes().

◆ CumulateRecursiveValueAt()

template<int Dimensions, class Element >

void imath::TMultidimensionalPolynomial< Dimensions, Element >::CumulateRecursiveValueAt	(	const ArgumentType &	argument,
		int	dimension,
		typename istd::TIndex< Dimensions > &	index,
		ResultType &	result
	)		const

protected

Cumulate interpolated value or derivative at specified recursion level.

Parameters

argument	position, where interpolation should be calculated.
dimension	working dimension and recursion level.
index	multidimensional index pointing at coefficient. For the sake of performance it is internal modified.
result	output value.

Definition at line 356 of file TMultidimensionalPolynomial.h.

References istd::TIndex< Dimensions >::GetAt().

◆ GetBaseFunctionValue()

template<int Dimensions, class Element >

double imath::TMultidimensionalPolynomial< Dimensions, Element >::GetBaseFunctionValue	(	const ArgumentType &	argument,
		const istd::TIndex< Dimensions > &	coeffIndex
	)

static

Get value of base function for single coefficient.

Definition at line 341 of file TMultidimensionalPolynomial.h.

References istd::TIndex< Dimensions >::GetAt().

◆ GetCoefficients()

template<int Dimensions, class Element >

const TMultidimensionalPolynomial< Dimensions, Element >::Coefficients & imath::TMultidimensionalPolynomial< Dimensions, Element >::GetCoefficients ( ) const

Definition at line 94 of file TMultidimensionalPolynomial.h.

◆ GetValueAt() [1/5]

TMultidimensionalPolynomial< 1, double >::ResultType imath::TMultidimensionalPolynomial< 1, double >::GetValueAt ( const ArgumentType & argument ) const

inlinevirtual

Get function value for specified argument value.

This overloaded menthod is provided only for convinence.

Parameters

argument function argument.

Returns: function value for specified argument.

Implements imath::TIMathFunction< Argument, Result >.

Definition at line 184 of file TMultidimensionalPolynomial.h.

References istd::TIndex< Dimensions >::GetAt().

◆ GetValueAt() [2/5]

TMultidimensionalPolynomial< 2, double >::ResultType imath::TMultidimensionalPolynomial< 2, double >::GetValueAt ( const ArgumentType & argument ) const

inlinevirtual

Get function value for specified argument value.

This overloaded menthod is provided only for convinence.

Parameters

argument function argument.

Returns: function value for specified argument.

Implements imath::TIMathFunction< Argument, Result >.

Definition at line 202 of file TMultidimensionalPolynomial.h.

References istd::TIndex< Dimensions >::GetAt().

◆ GetValueAt() [3/5]

TMultidimensionalPolynomial< 3, double >::ResultType imath::TMultidimensionalPolynomial< 3, double >::GetValueAt ( const ArgumentType & argument ) const

inlinevirtual

Get function value for specified argument value.

This overloaded menthod is provided only for convinence.

Parameters

argument function argument.

Returns: function value for specified argument.

Implements imath::TIMathFunction< Argument, Result >.

Definition at line 240 of file TMultidimensionalPolynomial.h.

References istd::TIndex< Dimensions >::GetAt().

◆ GetValueAt() [4/5]

template<int Dimensions, class Element >

TMultidimensionalPolynomial< Dimensions, Element >::ResultType imath::TMultidimensionalPolynomial< Dimensions, Element >::GetValueAt ( const ArgumentType & argument ) const