Spline interpolation function using polynomial 3 degree segments. More...

#include <TSplineGridFunctionBase.h>

Inheritance diagram for imath::TSplineGridFunctionBase< Argument, Result, Fulcrums, Degree >:

Public Types
typedef TFulcrumGridFunctionBase< Argument, Result, Fulcrums >	BaseClass

typedef Degree	DerivativeDegreeType

Public Types inherited from imath::TFulcrumGridFunctionBase< Argument, Result, Fulcrums >
typedef TFulcrumGrid< Argument, Fulcrums >	BaseClass

typedef istd::TCachedUpdateManagerWrap< iser::ISerializable >	BaseClass2

typedef TIMathFunction< Argument, Result >	BaseClass3

typedef TIMathFunction< Argument, Result >::ArgumentType	ArgumentType

Public Types inherited from imath::TFulcrumGrid< Argument, Fulcrums >
enum	ChangeFlags
	Data model change notification flags. More...

typedef Fulcrums::ElementType	FulcrumType

typedef Fulcrums::IndexType	FulcrumIndex

typedef Fulcrums::SizesType	FulcrumSizes

typedef Argument	PositionType

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 Types inherited from istd::TCachedUpdateManagerWrap< iser::ISerializable >
typedef iser::ISerializable	BaseClass

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

typedef Result	ResultType

Public Member Functions
virtual bool	GetValueAt (const Argument &argument, Result &result) const override
	Get function value for specified argument value.

virtual Result	GetValueAt (const Argument &argument) const override
	Get function value for specified argument value.

Public Member Functions inherited from imath::TFulcrumGrid< Argument, Fulcrums >
	TFulcrumGrid ()

void	Reset ()
	Removes all fulcrum points.

FulcrumSizes	GetGridSize () const
	Return complete grid size.

int	GetDimensionsCount () const
	Get number of dimensions.

virtual bool	SetDimensionsCount (int count)
	Set number of dimensions.

int	GetLayersCount (int dimension) const
	Get number of fulcrum points used in this function.

virtual void	SetLayersCount (int dimension, int count)
	Set number of fulcrum layers at specified dimension.

double	GetLayerPosition (int dimension, int layerIndex) const
	Get position of specified layer of fulcrums.

virtual void	SetLayerPosition (int dimension, int layerIndex, double position)
	Set position of specified layer of fulcrums.

void	GetFulcrumPosition (const FulcrumIndex &index, PositionType &result) const
	Get position of node at specified grid index.

const FulcrumType &	GetFulcrumAtIndex (const FulcrumIndex &index) const
	Get value at specified index.

virtual void	SetFulcrumAtIndex (const FulcrumIndex &index, const FulcrumType &value)
	Set single fulcrum point.

int	InsertLayer (int dimension, double position)
	Inserts single fulcrum layer.

virtual void	RemoveLayer (int dimension, int layerIndex)
	Remove fulcrums at spacified layer.

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

bool	operator== (const TFulcrumGrid< Argument, Fulcrums > &value) const

bool	operator!= (const TFulcrumGrid< Argument, Fulcrums > &value) const

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

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

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

Public Member Functions inherited from istd::TCachedUpdateManagerWrap< iser::ISerializable >
	TCachedUpdateManagerWrap ()

virtual void	BeginChanges (const IChangeable::ChangeSet &changeSet) override

virtual void	EndChanges (const IChangeable::ChangeSet &changeSet) override

Protected Member Functions
void	CumulateRecursiveValueAt (const Argument &argument, int dimension, const typename BaseClass::FulcrumSizes &sizes, typename BaseClass::FulcrumIndex &index, DerivativeDegreeType &degree, double cumulationFactor, Result &result) const
	Cumulate interpolated value or derivative at specified recursion level.

virtual const BaseClass::ResultType &	GetFulcrumDerivativeAtIndex (const typename BaseClass::FulcrumIndex &index, const DerivativeDegreeType &degree) const =0
	Get derivative of specified degree at specified index position.

virtual bool	IsDerivativeDegreeSupported (const DerivativeDegreeType &degree) const =0
	Check, if this or higher degree derrivatives are supported.

Protected Member Functions inherited from imath::TFulcrumGridFunctionBase< Argument, Result, Fulcrums >
virtual bool	CalculateCache (const ChangeSet &changeSet) override
	Calculate cache.

Protected Member Functions inherited from imath::TFulcrumGrid< Argument, Fulcrums >
virtual void	SortFulcrums ()
	Sort fulcrums in this collection.

int	FindLayerIndex (int dimension, double value) const
	Find layer index of specified value for specified dimension.

Fulcrums::IndexType	FindIndices (const PositionType &argument) const
	Find indices of cuboid containing specified argument value.

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.

Protected Member Functions inherited from istd::TCachedUpdateManagerWrap< iser::ISerializable >
bool	EnsureCacheValid () const
	Ensures cache is valid.

void	InvalidateCache (const IChangeable::ChangeSet &changeSet)
	Make cache invalid.

void	SetCacheValid ()
	Say that cache is valid.

Additional Inherited Members
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.

Static Protected Attributes inherited from imath::TFulcrumGrid< Argument, Fulcrums >
static const ChangeSet	s_fulcrumPositionChange

Detailed Description

template<class Argument, class Result, class Fulcrums, class Degree>
class imath::TSplineGridFunctionBase< Argument, Result, Fulcrums, Degree >

Spline interpolation function using polynomial 3 degree segments.

To reduce number of coefficients only precalculated derrivative values for each fulcrum will be stored.

Parameters

Argument	function argument type.
Result	function result type.
Fulcrums	array type used to stored fulcrums.

See also: imath::TFulcrumGridFunctionBase.

Parameters

Degree type of object storing index of derivative degree. It should implement operator[] to access drivative degree for specified dimension.

Definition at line 26 of file TSplineGridFunctionBase.h.

Member Typedef Documentation

◆ BaseClass

template<class Argument , class Result , class Fulcrums , class Degree >

typedef TFulcrumGridFunctionBase<Argument, Result, Fulcrums> imath::TSplineGridFunctionBase< Argument, Result, Fulcrums, Degree >::BaseClass

Definition at line 29 of file TSplineGridFunctionBase.h.

◆ DerivativeDegreeType

template<class Argument , class Result , class Fulcrums , class Degree >

typedef Degree imath::TSplineGridFunctionBase< Argument, Result, Fulcrums, Degree >::DerivativeDegreeType

Definition at line 31 of file TSplineGridFunctionBase.h.

Member Function Documentation

◆ CumulateRecursiveValueAt()

template<class Argument , class Result , class Fulcrums , class Degree >

void imath::TSplineGridFunctionBase< Argument, Result, Fulcrums, Degree >::CumulateRecursiveValueAt	(	const Argument &	argument,
		int	dimension,
		const typename BaseClass::FulcrumSizes &	sizes,
		typename BaseClass::FulcrumIndex &	index,
		DerivativeDegreeType &	degree,
		double	cumulationFactor,
		Result &	result
	)		const

protected

Cumulate interpolated value or derivative at specified recursion level.

Parameters

argument	position, where interpolation should be calculated. The elements with index less of equal `dimension` indicate non grid components (hard to explain). The other components should be taken from index.
sizes	size fulcrum grid.
dimension	working dimension and recursion level.
index	multidimensional index pointing at cuboid element in fulcrum grid. The elements with index greater `dimension` indicate asked subspace in grid (hard to explain). For the sake of performance it is internal modified, but original state is reverted before this method returns.
degree	derivative degree will be taken. For the sake of performance it is internal modified, but original state is reverted before this method returns.
cumulationFactor	scaled factor for cumulation.
result	object where values are cumulated.

Definition at line 122 of file TSplineGridFunctionBase.h.

References imath::CSplineSegmentFunction::GetDerivativeKernelAt(), imath::CSplineSegmentFunction::GetValueKernelAt(), and I_BIG_EPSILON.

◆ GetFulcrumDerivativeAtIndex()

template<class Argument , class Result , class Fulcrums , class Degree >

virtual const BaseClass::ResultType & imath::TSplineGridFunctionBase< Argument, Result, Fulcrums, Degree >::GetFulcrumDerivativeAtIndex	(	const typename BaseClass::FulcrumIndex &	index,
		const DerivativeDegreeType &	degree
	)		const

protectedpure virtual

Get derivative of specified degree at specified index position.

◆ GetValueAt() [1/2]

template<class Argument , class Result , class Fulcrums , class Degree >

Result imath::TSplineGridFunctionBase< Argument, Result, Fulcrums, Degree >::GetValueAt ( const Argument & argument ) const

overridevirtual

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 109 of file TSplineGridFunctionBase.h.

◆ GetValueAt() [2/2]

template<class Argument , class Result , class Fulcrums , class Degree >

bool imath::TSplineGridFunctionBase< Argument, Result, Fulcrums, Degree >::GetValueAt	(	const Argument &	argument,
		Result &	result
	)		const

overridevirtual

Get function value for specified argument value.

Parameters

argument	function argument.
result	function value for specified argument.

Returns: true if result was correctly calculated.

Implements imath::TIMathFunction< Argument, Result >.

Definition at line 84 of file TSplineGridFunctionBase.h.

◆ IsDerivativeDegreeSupported()

template<class Argument , class Result , class Fulcrums , class Degree >

virtual bool imath::TSplineGridFunctionBase< Argument, Result, Fulcrums, Degree >::IsDerivativeDegreeSupported ( const DerivativeDegreeType & degree ) const

protectedpure virtual

Check, if this or higher degree derrivatives are supported.

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

Acf/Include/imath/TSplineGridFunctionBase.h

Public Types

Public Member Functions

Protected Member Functions

Additional Inherited Members

Detailed Description

Member Typedef Documentation

◆ BaseClass

◆ DerivativeDegreeType

Member Function Documentation

◆ CumulateRecursiveValueAt()

◆ GetFulcrumDerivativeAtIndex()

◆ GetValueAt() [1/2]

◆ GetValueAt() [2/2]

◆ IsDerivativeDegreeSupported()