#include <itkNumericTraitsTensorPixel.h>

Detailed Description

template<typename T, unsigned int D>
class itk::NumericTraits< SymmetricSecondRankTensor< T, D > >

Define numeric traits for SymmetricSecondRankTensor.

Template Parameters

T	Component type of SymmetricSecondRankTensor
D	Dimension of the SymmetricSecondRankTensor

We provide here a generic implementation based on creating types of SymmetricSecondRankTensor whose components are the types of the NumericTraits from the original SymmetricSecondRankTensor components. This implementation require support for partial specializations, since it is based on the concept that: NumericTraits<SymmetricSecondRankTensor< T, D > > is defined piecewise by SymmetricSecondRankTensor< NumericTraits< T, D > >

See also: NumericTraits

Definition at line 44 of file itkNumericTraitsTensorPixel.h.

Collaboration diagram for itk::NumericTraits< SymmetricSecondRankTensor< T, D > >:

Public Types
using	AbsType = SymmetricSecondRankTensor< ElementAbsType, D >

using	AccumulateType = SymmetricSecondRankTensor< ElementAccumulateType, D >

using	FloatType = SymmetricSecondRankTensor< ElementFloatType, D >

using	MeasurementVectorType = Self

using	PrintType = SymmetricSecondRankTensor< ElementPrintType, D >

using	RealType = SymmetricSecondRankTensor< ElementRealType, D >

using	ScalarRealType = ElementRealType

using	Self = SymmetricSecondRankTensor< T, D >

using	ValueType = T

Static Public Member Functions
static void	AssignToArray (const Self &v, MeasurementVectorType &mv)

template<typename TArray >
static void	AssignToArray (const Self &v, TArray &mv)

static unsigned int	GetLength ()

static unsigned int	GetLength (const SymmetricSecondRankTensor< T, D > &)

static const Self	max ()

static const Self	max (const Self &)

static const Self	min ()

static const Self	min (const Self &)

static const Self	NonpositiveMin ()

static const Self	NonpositiveMin (const Self &)

static const Self	OneValue ()

static const Self	OneValue (const Self &)

static const Self	ZeroValue ()

static const Self	ZeroValue (const Self &)


static void	SetLength (SymmetricSecondRankTensor< T, D > &m, const unsigned int s)

Static Public Attributes
static constexpr bool	IsComplex = NumericTraits<ValueType>::IsComplex

static constexpr bool	IsInteger = std::is_integral_v<ValueType>

static constexpr bool	IsSigned = std::is_signed_v<ValueType>

static const Self ITKCommon_EXPORT	One

static const Self ITKCommon_EXPORT	Zero

Private Types
using	ElementAbsType = typename NumericTraits< T >::AbsType

using	ElementAccumulateType = typename NumericTraits< T >::AccumulateType

using	ElementFloatType = typename NumericTraits< T >::FloatType

using	ElementPrintType = typename NumericTraits< T >::PrintType

using	ElementRealType = typename NumericTraits< T >::RealType

Member Typedef Documentation

◆ AbsType

template<typename T , unsigned int D>

using itk::NumericTraits< SymmetricSecondRankTensor< T, D > >::AbsType = SymmetricSecondRankTensor<ElementAbsType, D>

Unsigned component type

Definition at line 60 of file itkNumericTraitsTensorPixel.h.

◆ AccumulateType

template<typename T , unsigned int D>

using itk::NumericTraits< SymmetricSecondRankTensor< T, D > >::AccumulateType = SymmetricSecondRankTensor<ElementAccumulateType, D>

Accumulation of addition and multiplication.

Definition at line 63 of file itkNumericTraitsTensorPixel.h.

◆ ElementAbsType

template<typename T , unsigned int D>

using itk::NumericTraits< SymmetricSecondRankTensor< T, D > >::ElementAbsType = typename NumericTraits<T>::AbsType

private

Definition at line 47 of file itkNumericTraitsTensorPixel.h.

◆ ElementAccumulateType

template<typename T , unsigned int D>

using itk::NumericTraits< SymmetricSecondRankTensor< T, D > >::ElementAccumulateType = typename NumericTraits<T>::AccumulateType

private

Definition at line 48 of file itkNumericTraitsTensorPixel.h.

◆ ElementFloatType

template<typename T , unsigned int D>

using itk::NumericTraits< SymmetricSecondRankTensor< T, D > >::ElementFloatType = typename NumericTraits<T>::FloatType

private

Definition at line 49 of file itkNumericTraitsTensorPixel.h.

◆ ElementPrintType

template<typename T , unsigned int D>

using itk::NumericTraits< SymmetricSecondRankTensor< T, D > >::ElementPrintType = typename NumericTraits<T>::PrintType

private

Definition at line 50 of file itkNumericTraitsTensorPixel.h.

◆ ElementRealType

template<typename T , unsigned int D>

using itk::NumericTraits< SymmetricSecondRankTensor< T, D > >::ElementRealType = typename NumericTraits<T>::RealType

private

Definition at line 51 of file itkNumericTraitsTensorPixel.h.

◆ FloatType

template<typename T , unsigned int D>

using itk::NumericTraits< SymmetricSecondRankTensor< T, D > >::FloatType = SymmetricSecondRankTensor<ElementFloatType, D>

Typedef for operations that use floating point instead of real precision

Definition at line 67 of file itkNumericTraitsTensorPixel.h.

◆ MeasurementVectorType

template<typename T , unsigned int D>

using itk::NumericTraits< SymmetricSecondRankTensor< T, D > >::MeasurementVectorType = Self

Measurement vector type

Definition at line 79 of file itkNumericTraitsTensorPixel.h.

◆ PrintType

template<typename T , unsigned int D>

using itk::NumericTraits< SymmetricSecondRankTensor< T, D > >::PrintType = SymmetricSecondRankTensor<ElementPrintType, D>

Return the type that can be printed.

Definition at line 70 of file itkNumericTraitsTensorPixel.h.

◆ RealType

template<typename T , unsigned int D>

using itk::NumericTraits< SymmetricSecondRankTensor< T, D > >::RealType = SymmetricSecondRankTensor<ElementRealType, D>

Type for real-valued scalar operations.

Definition at line 73 of file itkNumericTraitsTensorPixel.h.

◆ ScalarRealType

template<typename T , unsigned int D>

using itk::NumericTraits< SymmetricSecondRankTensor< T, D > >::ScalarRealType = ElementRealType

Type for real-valued scalar operations.

Definition at line 76 of file itkNumericTraitsTensorPixel.h.

◆ Self

template<typename T , unsigned int D>

using itk::NumericTraits< SymmetricSecondRankTensor< T, D > >::Self = SymmetricSecondRankTensor<T, D>

Definition at line 57 of file itkNumericTraitsTensorPixel.h.

◆ ValueType

template<typename T , unsigned int D>

using itk::NumericTraits< SymmetricSecondRankTensor< T, D > >::ValueType = T

Return the type of the native component type.

Definition at line 55 of file itkNumericTraitsTensorPixel.h.

Member Function Documentation

◆ AssignToArray() [1/2]

template<typename T , unsigned int D>

static void itk::NumericTraits< SymmetricSecondRankTensor< T, D > >::AssignToArray	(	const Self &	v,
		MeasurementVectorType &	mv
	)

inlinestatic

Definition at line 182 of file itkNumericTraitsTensorPixel.h.

◆ AssignToArray() [2/2]

template<typename T , unsigned int D>

template<typename TArray >

static void itk::NumericTraits< SymmetricSecondRankTensor< T, D > >::AssignToArray	(	const Self &	v,
		TArray &	mv
	)

inlinestatic

Definition at line 189 of file itkNumericTraitsTensorPixel.h.

References itk::NumericTraits< T >::GetLength().

◆ GetLength() [1/2]

template<typename T , unsigned int D>

static unsigned int itk::NumericTraits< SymmetricSecondRankTensor< T, D > >::GetLength ( )

inlinestatic

Return the size of the underlying FixedArray.

Definition at line 176 of file itkNumericTraitsTensorPixel.h.

◆ GetLength() [2/2]

template<typename T , unsigned int D>

static unsigned int itk::NumericTraits< SymmetricSecondRankTensor< T, D > >::GetLength ( const SymmetricSecondRankTensor< T, D > & )

inlinestatic

Return the size of the underlying FixedArray.

Definition at line 169 of file itkNumericTraitsTensorPixel.h.

References itk::NumericTraits< T >::GetLength().

◆ max() [1/2]

template<typename T , unsigned int D>

static const Self itk::NumericTraits< SymmetricSecondRankTensor< T, D > >::max ( )

inlinestatic

Definition at line 99 of file itkNumericTraitsTensorPixel.h.

◆ max() [2/2]

template<typename T , unsigned int D>

static const Self itk::NumericTraits< SymmetricSecondRankTensor< T, D > >::max ( const Self & )

inlinestatic

Component wise defined element

Note: minimum value for floating pointer types is defined as minimum positive normalize value.

Definition at line 87 of file itkNumericTraitsTensorPixel.h.

◆ min() [1/2]

template<typename T , unsigned int D>

static const Self itk::NumericTraits< SymmetricSecondRankTensor< T, D > >::min ( )

inlinestatic

Definition at line 105 of file itkNumericTraitsTensorPixel.h.

◆ min() [2/2]

template<typename T , unsigned int D>

static const Self itk::NumericTraits< SymmetricSecondRankTensor< T, D > >::min ( const Self & )

inlinestatic

Definition at line 93 of file itkNumericTraitsTensorPixel.h.

◆ NonpositiveMin() [1/2]

template<typename T , unsigned int D>

static const Self itk::NumericTraits< SymmetricSecondRankTensor< T, D > >::NonpositiveMin ( )

inlinestatic

Definition at line 111 of file itkNumericTraitsTensorPixel.h.

◆ NonpositiveMin() [2/2]

template<typename T , unsigned int D>

static const Self itk::NumericTraits< SymmetricSecondRankTensor< T, D > >::NonpositiveMin ( const Self & )

inlinestatic

Definition at line 129 of file itkNumericTraitsTensorPixel.h.

References itk::NumericTraits< T >::NonpositiveMin().

◆ OneValue() [1/2]

template<typename T , unsigned int D>

static const Self itk::NumericTraits< SymmetricSecondRankTensor< T, D > >::OneValue ( )

inlinestatic

Definition at line 123 of file itkNumericTraitsTensorPixel.h.

◆ OneValue() [2/2]

template<typename T , unsigned int D>

static const Self itk::NumericTraits< SymmetricSecondRankTensor< T, D > >::OneValue ( const Self & )

inlinestatic

Definition at line 141 of file itkNumericTraitsTensorPixel.h.

References itk::NumericTraits< T >::OneValue().

◆ SetLength()

template<typename T , unsigned int D>

static void itk::NumericTraits< SymmetricSecondRankTensor< T, D > >::SetLength	(	SymmetricSecondRankTensor< T, D > &	m,
		const unsigned int	s
	)

inlinestatic

Fixed length vectors cannot be resized, so an exception will be thrown if the input size is not valid. Here, the size refers to the dimensionality of the underlying FixedArray, not the tensor dimensionality.

Definition at line 155 of file itkNumericTraitsTensorPixel.h.

References itk::FixedArray< TComponent, VDimension *(VDimension+1)/2 >::Fill().