Specialized information about Composite Numerical Types which allows us to define appropriate templatized classes using them. More...

Inheritance diagram for SimTK::CNT< K >:

Classes
struct	Result

struct	Substitute

Public Types
enum	{ NRows = K::NRows, NCols = K::NCols, RowSpacing = K::RowSpacing, ColSpacing = K::ColSpacing, NPackedElements = K::NPackedElements, NActualElements = K::NActualElements, NActualScalars = K::NActualScalars, ImagOffset = K::ImagOffset, RealStrideFactor = K::RealStrideFactor, ArgDepth = K::ArgDepth, IsScalar = K::IsScalar, IsULessScalar = K::IsULessScalar, IsNumber = K::IsNumber, IsStdNumber = K::IsStdNumber, IsPrecision = K::IsPrecision, SignInterpretation = K::SignInterpretation }

typedef K	T

typedef K::TNeg	TNeg

typedef K::TWithoutNegator	TWithoutNegator

typedef K::TReal	TReal

typedef K::TImag	TImag

typedef K::TComplex	TComplex

typedef K::THerm	THerm

typedef K::TPosTrans	TPosTrans

typedef K::TSqHermT	TSqHermT

typedef K::TSqTHerm	TSqTHerm

typedef K::TElement	TElement

typedef K::TRow	TRow

typedef K::TCol	TCol

typedef K::TSqrt	TSqrt

typedef K::TAbs	TAbs

typedef K::TStandard	TStandard

typedef K::TInvert	TInvert

typedef K::TNormalize	TNormalize

typedef K::Scalar	Scalar

typedef K::ULessScalar	ULessScalar

typedef K::Number	Number

typedef K::StdNumber	StdNumber

typedef K::Precision	Precision

typedef K::ScalarNormSq	ScalarNormSq

Static Public Member Functions
static const Scalar *	getData (const T &t)

static Scalar *	updData (T &t)

static const TReal &	real (const T &t)

static TReal &	real (T &t)

static const TImag &	imag (const T &t)

static TImag &	imag (T &t)

static const TNeg &	negate (const T &t)

static TNeg &	negate (T &t)

static const THerm &	transpose (const K &t)

static THerm &	transpose (K &t)

static const TPosTrans &	positionalTranspose (const K &t)

static TPosTrans &	positionalTranspose (K &t)

static const TWithoutNegator &	castAwayNegatorIfAny (const T &t)

static TWithoutNegator &	updCastAwayNegatorIfAny (T &t)

static ScalarNormSq	scalarNormSqr (const K &t)

static TSqrt	sqrt (const K &t)

static TAbs	abs (const K &t)

static TStandard	standardize (const K &t)

static TNormalize	normalize (const K &t)

static TInvert	invert (const K &t)

static K	getInfinity ()

static K	getNaN ()

static bool	isNaN (const K &t)
	This is true if any element contains a NaN anywhere. More...

static bool	isInf (const K &t)
	This is true if at least one element contains a +Infinity or -Infinity and no element contains a NaN. More...

static bool	isFinite (const K &t)
	This is true only if no element has any entry that it NaN or Infinity. More...

template<class K2 >
static bool	isNumericallyEqual (const K &t1, const K2 &t2)
	CNTs are expected to support an "==" operator for exact, bitwise equality. More...

template<class K2 >
static bool	isNumericallyEqual (const K &t1, const K2 &t2, double tol)

static double	getDefaultTolerance ()

Detailed Description

template<class K>
class SimTK::CNT< K >

Specialized information about Composite Numerical Types which allows us to define appropriate templatized classes using them.

Transpose is particularly tricky – we insist on Hermitian transpose meaning the elements must also be transposed and complex subelements must be conjugated.

This class exists because the built-in scalar types don't have the members we need. CNT<> is specialized for those types only; it is just a pass-through for the rest. The idea is to capture everything that has to be specialized here rather than in the template classes which use these types.

Member Typedef Documentation

template<class K>

typedef K SimTK::CNT< K >::T

template<class K>

typedef K::TNeg SimTK::CNT< K >::TNeg

template<class K>

typedef K::TWithoutNegator SimTK::CNT< K >::TWithoutNegator

template<class K>

typedef K::TReal SimTK::CNT< K >::TReal

template<class K>

typedef K::TImag SimTK::CNT< K >::TImag

template<class K>

typedef K::TComplex SimTK::CNT< K >::TComplex

template<class K>

typedef K::THerm SimTK::CNT< K >::THerm

template<class K>

typedef K::TPosTrans SimTK::CNT< K >::TPosTrans

template<class K>

typedef K::TSqHermT SimTK::CNT< K >::TSqHermT

template<class K>

typedef K::TSqTHerm SimTK::CNT< K >::TSqTHerm

template<class K>

typedef K::TElement SimTK::CNT< K >::TElement

template<class K>

typedef K::TRow SimTK::CNT< K >::TRow

template<class K>

typedef K::TCol SimTK::CNT< K >::TCol

template<class K>

typedef K::TSqrt SimTK::CNT< K >::TSqrt

template<class K>

typedef K::TAbs SimTK::CNT< K >::TAbs

template<class K>

typedef K::TStandard SimTK::CNT< K >::TStandard

template<class K>

typedef K::TInvert SimTK::CNT< K >::TInvert

template<class K>

typedef K::TNormalize SimTK::CNT< K >::TNormalize

template<class K>

typedef K::Scalar SimTK::CNT< K >::Scalar

template<class K>

typedef K::ULessScalar SimTK::CNT< K >::ULessScalar

template<class K>

typedef K::Number SimTK::CNT< K >::Number

template<class K>

typedef K::StdNumber SimTK::CNT< K >::StdNumber

template<class K>

typedef K::Precision SimTK::CNT< K >::Precision

template<class K>

typedef K::ScalarNormSq SimTK::CNT< K >::ScalarNormSq

Member Enumeration Documentation

template<class K>

anonymous enum

Enumerator
NRows
NCols
RowSpacing
ColSpacing
NPackedElements
NActualElements
NActualScalars
ImagOffset
RealStrideFactor
ArgDepth
IsScalar
IsULessScalar
IsNumber
IsStdNumber
IsPrecision
SignInterpretation

Member Function Documentation

template<class K>

static const Scalar* SimTK::CNT< K >::getData ( const T & t )

inlinestatic

template<class K>

static Scalar* SimTK::CNT< K >::updData ( T & t )

inlinestatic

template<class K>

static const TReal& SimTK::CNT< K >::real ( const T & t )

inlinestatic

template<class K>

static TReal& SimTK::CNT< K >::real ( T & t )

inlinestatic

template<class K>

static const TImag& SimTK::CNT< K >::imag ( const T & t )

inlinestatic

template<class K>

static TImag& SimTK::CNT< K >::imag ( T & t )

inlinestatic

template<class K>

static const TNeg& SimTK::CNT< K >::negate ( const T & t )

inlinestatic

template<class K>

static TNeg& SimTK::CNT< K >::negate ( T & t )

inlinestatic

template<class K>

static const THerm& SimTK::CNT< K >::transpose ( const K & t )

inlinestatic

template<class K>

static THerm& SimTK::CNT< K >::transpose ( K & t )

inlinestatic

template<class K>

static const TPosTrans& SimTK::CNT< K >::positionalTranspose ( const K & t )

inlinestatic

template<class K>

static TPosTrans& SimTK::CNT< K >::positionalTranspose ( K & t )

inlinestatic

template<class K>

static const TWithoutNegator& SimTK::CNT< K >::castAwayNegatorIfAny ( const T & t )

inlinestatic

template<class K>

static TWithoutNegator& SimTK::CNT< K >::updCastAwayNegatorIfAny ( T & t )

inlinestatic

template<class K>

static ScalarNormSq SimTK::CNT< K >::scalarNormSqr ( const K & t )

inlinestatic

template<class K>

static TSqrt SimTK::CNT< K >::sqrt ( const K & t )

inlinestatic

template<class K>

static TAbs SimTK::CNT< K >::abs ( const K & t )

inlinestatic

template<class K>

static TStandard SimTK::CNT< K >::standardize ( const K & t )

inlinestatic

template<class K>

static TNormalize SimTK::CNT< K >::normalize ( const K & t )

inlinestatic

template<class K>

static TInvert SimTK::CNT< K >::invert ( const K & t )

inlinestatic

template<class K>

static K SimTK::CNT< K >::getInfinity ( )

inlinestatic

template<class K>

static K SimTK::CNT< K >::getNaN ( )

inlinestatic

template<class K>

static bool SimTK::CNT< K >::isNaN ( const K & t )

inlinestatic

This is true if any element contains a NaN anywhere.

template<class K>

static bool SimTK::CNT< K >::isInf ( const K & t )

inlinestatic

This is true if at least one element contains a +Infinity or -Infinity and no element contains a NaN.

template<class K>

static bool SimTK::CNT< K >::isFinite ( const K & t )

inlinestatic

This is true only if no element has any entry that it NaN or Infinity.

template<class K>

template<class K2 >

static bool SimTK::CNT< K >::isNumericallyEqual	(	const K &	t1,
		const K2 &	t2
	)

inlinestatic

CNTs are expected to support an "==" operator for exact, bitwise equality.

This method implements approximate, numerical equality. For scalar types, this should boil down to the isNumericallyEqual() scalar method. For 2D composite types, the default tolerance should be loosened from the element's default tolerance by the shorter of the two dimensions. For example, if element E's default numerical tolerance is tol, then a Mat<3,5,E>'s default tolerance should be 3*tol.

template<class K>

template<class K2 >

static bool SimTK::CNT< K >::isNumericallyEqual	(	const K &	t1,
		const K2 &	t2,
		double	tol
	)

inlinestatic

template<class K>

static double SimTK::CNT< K >::getDefaultTolerance ( )

inlinestatic

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

CompositeNumericalTypes.h

Classes

Public Types

Static Public Member Functions

Detailed Description

template<class K> class SimTK::CNT< K >

Member Typedef Documentation

Member Enumeration Documentation

Member Function Documentation

template<class K>
class SimTK::CNT< K >