itk::NumericTraits< T > Class Template Reference

#include <itkNumericTraits.h>

Detailed Description

template<typename T>
class itk::NumericTraits< T >

Define additional traits for native types such as int or float.

Define numeric traits for std::vector.

NumericTraits is used to extend the traits associated with native types such as float, char, int, and so on. These traits are extensions of the standard numeric_limits defined by the C++ compilers. Some of the added traits include minimum and maximum value; accumulation type; etc.

ITK Sphinx Examples:

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Template Parameters

T	Component type of std::vector

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

Note

The Zero(), One(), min() and max() methods here take references to a pixel as input. This is due to the fact that the length of the std::vector is not known until run-time. Since the most common use of Zero and One is for comparison purposes or initialization of sums etc, this might just as easily be re-written with a pixel passed in as a reference and the length is inferred from this pixel.

See also

NumericTraits

Examples

Examples/IO/CovariantVectorImageExtractComponent.cxx, Examples/IO/CovariantVectorImageRead.cxx, Examples/Iterators/ImageSliceIteratorWithIndex.cxx, and Examples/SpatialObjects/ImageMaskSpatialObject.cxx.

Definition at line 59 of file itkNumericTraits.h.

Inheritance diagram for itk::NumericTraits< T >:

Collaboration diagram for itk::NumericTraits< T >:

Public Types
using	AbsType = T
using	AccumulateType = double
using	FloatType = float
using	MeasurementVectorType = FixedArray< ValueType, 1 >
using	PrintType = T
using	RealType = double
using	ScalarRealType = RealType
using	TraitsType = std::numeric_limits< T >
using	ValueType = T

Static Public Member Functions
template<typename TArray >
static void	AssignToArray (const T &v, TArray &mv)
static unsigned int	GetLength ()
static unsigned int	GetLength (const T &)
static bool	IsNegative (T val)
static bool	IsNonnegative (T val)
static bool	IsNonpositive (T val)
static bool	IsPositive (T val)
static constexpr T	max (const T &)
static constexpr T	min (const T &)
static constexpr T	NonpositiveMin ()
static T	NonpositiveMin (const T &)
static T	OneValue ()
static T	OneValue (const T &)
static void	SetLength (T &m, const unsigned int s)
static T	ZeroValue ()
static T	ZeroValue (const T &)

Static Public Attributes
static constexpr bool	IsComplex = false
static constexpr bool	IsInteger = false
static constexpr bool	IsSigned = false
static const T ITKCommon_EXPORT	One
static const T ITKCommon_EXPORT	Zero

Member Typedef Documentation

AbsType

template<typename T >

using itk::NumericTraits< T >::AbsType = T

Return value of itk::Math::abs().

Definition at line 72 of file itkNumericTraits.h.

AccumulateType

template<typename T >

using itk::NumericTraits< T >::AccumulateType = double

Accumulation of addition and multiplication.

Definition at line 75 of file itkNumericTraits.h.

FloatType

template<typename T >

using itk::NumericTraits< T >::FloatType = float

Typedef for operations that use floating point instead of real precision to save memory

Definition at line 82 of file itkNumericTraits.h.

MeasurementVectorType

template<typename T >

using itk::NumericTraits< T >::MeasurementVectorType = FixedArray<ValueType, 1>

Measurement vector type

Definition at line 78 of file itkNumericTraits.h.

PrintType

template<typename T >

using itk::NumericTraits< T >::PrintType = T

Return the type that can be printed.

Examples

Examples/DataRepresentation/Image/RGBImage.cxx.

Definition at line 69 of file itkNumericTraits.h.

RealType

template<typename T >

using itk::NumericTraits< T >::RealType = double

Type for real-valued scalar operations.

Definition at line 85 of file itkNumericTraits.h.

ScalarRealType

template<typename T >

using itk::NumericTraits< T >::ScalarRealType = RealType

Type for real-valued scalar operations.

Definition at line 88 of file itkNumericTraits.h.

TraitsType

template<typename T >

using itk::NumericTraits< T >::TraitsType = std::numeric_limits<T>

The type of this limits trait object.

Definition at line 63 of file itkNumericTraits.h.

ValueType

template<typename T >

using itk::NumericTraits< T >::ValueType = T

Return the type of this native type.

Definition at line 66 of file itkNumericTraits.h.

Member Function Documentation

AssignToArray()

template<typename T >

template<typename TArray >

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

inlinestatic

assign the value to an array

Definition at line 244 of file itkNumericTraits.h.

GetLength() [1/2]

template<typename T >

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

inlinestatic

Return the length of the scalar: 1. Array types can return a different value

Definition at line 209 of file itkNumericTraits.h.

Referenced by itk::NumericTraits< Array< T > >::AssignToArray(), itk::NumericTraits< std::vector< T > >::AssignToArray(), itk::NumericTraits< SymmetricSecondRankTensor< T, D > >::AssignToArray(), itk::NumericTraits< VariableLengthVector< T > >::AssignToArray(), itk::NumericTraits< SymmetricSecondRankTensor< T, D > >::GetLength(), itk::NumericTraits< T >::GetLength(), itk::NumericTraits< VariableLengthVector< T > >::IsNegative(), itk::NumericTraits< Vector< T, D > >::IsNegative(), itk::NumericTraits< VariableLengthVector< T > >::IsNonnegative(), itk::NumericTraits< Vector< T, D > >::IsNonnegative(), itk::NumericTraits< VariableLengthVector< T > >::IsNonpositive(), itk::NumericTraits< Vector< T, D > >::IsNonpositive(), itk::NumericTraits< VariableLengthVector< T > >::IsPositive(), itk::NumericTraits< Vector< T, D > >::IsPositive(), itk::Statistics::MeasurementVectorTraits::IsResizable(), itk::Statistics::MembershipFunctionBase< TVector >::MembershipFunctionBase(), itk::Statistics::Sample< TMeasurementVector >::Sample(), itk::Statistics::KdTreeBasedKmeansEstimator< TKdTree >::CandidateVector::SetCentroids(), itk::Statistics::DistanceMetric< TVector >::SetMeasurementVectorSize(), itk::Statistics::MembershipFunctionBase< TVector >::SetMeasurementVectorSize(), itk::Statistics::Sample< TMeasurementVector >::SetMeasurementVectorSize(), itk::GradientRecursiveGaussianImageFilter< TInputImage, TOutputImage >::TransformOutputPixel(), and itk::GTest::Predicate::VectorDoubleRMSPredFormat().

GetLength() [2/2]

template<typename T >

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

inlinestatic

Return the length of the scalar. This API is needed for VariableLengthVector because its length is only known at run-time. Specializations of the VariableLengthVector will provide a different implementation where a vector of the correct size is built.

Definition at line 202 of file itkNumericTraits.h.

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

IsNegative()

template<typename T >

static bool itk::NumericTraits< T >::IsNegative ( T  val )

inlinestatic

Is a given value negative?

Definition at line 119 of file itkNumericTraits.h.

References itk::NumericTraits< T >::Zero.

Referenced by itk::Concept::HasNumericTraits< T >::Constraints::constraints(), itk::NumericTraits< RGBAPixel< T > >::IsNegative(), and itk::NumericTraits< RGBPixel< T > >::IsNegative().

IsNonnegative()

template<typename T >

static bool itk::NumericTraits< T >::IsNonnegative ( T  val )

inlinestatic

Is a given value nonnegative?

Definition at line 126 of file itkNumericTraits.h.

References itk::NumericTraits< T >::Zero.

Referenced by itk::Concept::HasNumericTraits< T >::Constraints::constraints(), itk::NumericTraits< RGBAPixel< T > >::IsNonnegative(), and itk::NumericTraits< RGBPixel< T > >::IsNonnegative().

IsNonpositive()

template<typename T >

static bool itk::NumericTraits< T >::IsNonpositive ( T  val )

inlinestatic

Is a given value nonpositive?

Definition at line 112 of file itkNumericTraits.h.

References itk::NumericTraits< T >::Zero.

Referenced by itk::Concept::HasNumericTraits< T >::Constraints::constraints(), itk::NumericTraits< RGBAPixel< T > >::IsNonpositive(), and itk::NumericTraits< RGBPixel< T > >::IsNonpositive().

IsPositive()

template<typename T >

static bool itk::NumericTraits< T >::IsPositive ( T  val )

inlinestatic

Is a given value positive?

Definition at line 105 of file itkNumericTraits.h.

References itk::NumericTraits< T >::Zero.

Referenced by itk::Math::CastWithRangeCheck(), itk::Concept::HasNumericTraits< T >::Constraints::constraints(), itk::NumericTraits< RGBAPixel< T > >::IsPositive(), and itk::NumericTraits< RGBPixel< T > >::IsPositive().

max()

template<typename T >

static constexpr T itk::NumericTraits< T >::max ( const T &  )

inlinestaticconstexpr

Examples

Examples/Filtering/OtsuMultipleThresholdImageFilter.cxx.

Definition at line 168 of file itkNumericTraits.h.

Referenced by itk::AdaptiveHistogramEqualizationImageFilter< TImageType, TKernel >::AdaptiveHistogramEqualizationImageFilter(), itk::Functor::LabelToRGBFunctor< TLabel, TRGBPixel >::AddColor(), itk::AnchorCloseImageFilter< TImage, TKernel >::AnchorCloseImageFilter(), itk::AnchorErodeImageFilter< TImage, TKernel >::AnchorErodeImageFilter(), itk::AnchorOpenImageFilter< TImage, TKernel >::AnchorOpenImageFilter(), itk::BinaryNotImageFilter< TImage >::BinaryNotImageFilter(), itk::BinaryProjectionImageFilter< TInputImage, TOutputImage >::BinaryProjectionImageFilter(), itk::Functor::BinaryThreshold< TInput, TOutput >::BinaryThreshold(), itk::BinaryThresholdProjectionImageFilter< TInputImage, TOutputImage >::BinaryThresholdProjectionImageFilter(), itk::Function::ColormapFunction< TScalar, TRGBPixel >::ColormapFunction(), itk::Function::RankHistogram< TInputPixel >::GetValueBruteForce(), itk::Function::VectorRankHistogram< TInputPixel >::GetValueBruteForce(), itk::Functor::GPUBinaryThreshold< TInput, TOutput >::GPUBinaryThreshold(), itk::Functor::MinimumAccumulator< TInputPixel >::Initialize(), itk::Functor::IntensityLinearTransform< TInput, TOutput >::IntensityLinearTransform(), itk::Functor::InvertIntensityTransform< TInput, TOutput >::InvertIntensityTransform(), itk::LabelGeometryImageFilter< TLabelImage, TIntensityImage >::LabelGeometry::LabelGeometry(), itk::LabelStatisticsImageFilter< TInputImage, TLabelImage >::LabelStatistics::LabelStatistics(), itk::MovingHistogramErodeImageFilter< TInputImage, TOutputImage, TKernel >::MovingHistogramErodeImageFilter(), itk::MultiphaseFiniteDifferenceImageFilter< TInputImage, TFeatureImage, TOutputImage, TFiniteDifferenceFunction, TIdCell >::MultiphaseFiniteDifferenceImageFilter(), itk::UnsharpMaskImageFilter< TInputImage, TOutputImage, TInternalPrecision >::UnsharpMaskingFunctor< InPixelType, FunctorRealType, OutPixelType >::operator()(), itk::Functor::Div< TInput1, TInput2, TOutput >::operator()(), itk::Functor::Modulus< TInput1, TInput2, TOutput >::operator()(), itk::Functor::DivFloor< TInput1, TInput2, TOutput >::operator()(), itk::Functor::ConstrainedValueAddition< TInput1, TInput2, TOutput >::operator()(), itk::Function::RankHistogram< TInputPixel >::RankHistogram(), itk::ReconstructionByErosionImageFilter< TInputImage, TOutputImage >::ReconstructionByErosionImageFilter(), itk::Function::VectorMorphologicalGradientHistogram< TInputPixel >::RemovePixel(), itk::Functor::Sigmoid< TInput, TOutput >::Sigmoid(), itk::SimplexMeshAdaptTopologyFilter< TInputMesh, TOutputMesh >::SimplexCellVisitor::SimplexCellVisitor(), itk::STAPLEImageFilter< TInputImage, TOutputImage >::STAPLEImageFilter(), itk::ThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >::ThresholdSegmentationLevelSetFunction(), itk::VanHerkGilWermanErodeImageFilter< TImage, TKernel >::VanHerkGilWermanErodeImageFilter(), itk::Function::VectorMorphologicalGradientHistogram< TInputPixel >::VectorMorphologicalGradientHistogram(), itk::Function::VectorMorphologyHistogram< TInputPixel, TCompare >::VectorMorphologyHistogram(), and itk::Function::VectorRankHistogram< TInputPixel >::VectorRankHistogram().

min()

template<typename T >

static constexpr T itk::NumericTraits< T >::min ( const T &  )

inlinestaticconstexpr

Examples

Examples/Filtering/OtsuMultipleThresholdImageFilter.cxx.

Definition at line 173 of file itkNumericTraits.h.

Referenced by itk::AdaptiveHistogramEqualizationImageFilter< TImageType, TKernel >::AdaptiveHistogramEqualizationImageFilter(), itk::Function::ColormapFunction< TScalar, TRGBPixel >::ColormapFunction(), itk::Statistics::KdTree< TSample >::NearestNeighbors::ReplaceFarthestNeighbor(), and itk::Functor::Sigmoid< TInput, TOutput >::Sigmoid().

NonpositiveMin() [1/2]

template<typename T >

static constexpr T itk::NumericTraits< T >::NonpositiveMin ( )

inlinestaticconstexpr

Smallest (most nonpositive) value

Definition at line 98 of file itkNumericTraits.h.

Referenced by itk::Function::VectorMorphologyHistogram< TInputPixel, TCompare >::AddPixel(), itk::Function::VectorMorphologicalGradientHistogram< TInputPixel >::AddPixel(), itk::AnchorCloseImageFilter< TImage, TKernel >::AnchorCloseImageFilter(), itk::AnchorDilateImageFilter< TImage, TKernel >::AnchorDilateImageFilter(), itk::AnchorOpenImageFilter< TImage, TKernel >::AnchorOpenImageFilter(), itk::BinaryNotImageFilter< TImage >::BinaryNotImageFilter(), itk::BinaryProjectionImageFilter< TInputImage, TOutputImage >::BinaryProjectionImageFilter(), itk::Functor::BinaryThreshold< TInput, TOutput >::BinaryThreshold(), itk::BinaryThresholdProjectionImageFilter< TInputImage, TOutputImage >::BinaryThresholdProjectionImageFilter(), itk::Concept::HasNumericTraits< T >::Constraints::constraints(), itk::LevelSetMotionRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >::GetGlobalDataPointer(), itk::Function::VectorRankHistogram< TInputPixel >::GetValueBruteForce(), itk::Functor::GPUBinaryThreshold< TInput, TOutput >::GPUBinaryThreshold(), itk::Functor::MaximumAccumulator< TInputPixel >::Initialize(), itk::Functor::IntensityLinearTransform< TInput, TOutput >::IntensityLinearTransform(), itk::LabelGeometryImageFilter< TLabelImage, TIntensityImage >::LabelGeometry::LabelGeometry(), itk::LabelStatisticsImageFilter< TInputImage, TLabelImage >::LabelStatistics::LabelStatistics(), itk::MovingHistogramDilateImageFilter< TInputImage, TOutputImage, TKernel >::MovingHistogramDilateImageFilter(), itk::NumericTraits< CovariantVector< T, D > >::NonpositiveMin(), itk::NumericTraits< DiffusionTensor3D< T > >::NonpositiveMin(), itk::NumericTraits< FixedArray< T, D > >::NonpositiveMin(), itk::NumericTraits< Point< T, D > >::NonpositiveMin(), itk::NumericTraits< RGBAPixel< T > >::NonpositiveMin(), itk::NumericTraits< RGBPixel< T > >::NonpositiveMin(), itk::NumericTraits< SymmetricSecondRankTensor< T, D > >::NonpositiveMin(), itk::NumericTraits< Vector< T, D > >::NonpositiveMin(), itk::NumericTraits< T >::NonpositiveMin(), itk::UnsharpMaskImageFilter< TInputImage, TOutputImage, TInternalPrecision >::UnsharpMaskingFunctor< InPixelType, FunctorRealType, OutPixelType >::operator()(), itk::Functor::Maximum1< TInput, TOutput >::operator()(), itk::Functor::DivFloor< TInput1, TInput2, TOutput >::operator()(), itk::Functor::ConstrainedValueAddition< TInput1, TInput2, TOutput >::operator()(), itk::Functor::ConstrainedValueDifference< TInput1, TInput2, TOutput >::operator()(), itk::Function::RankHistogram< TInputPixel >::RankHistogram(), itk::ReconstructionByDilationImageFilter< TInputImage, TOutputImage >::ReconstructionByDilationImageFilter(), itk::Function::VectorMorphologyHistogram< TInputPixel, TCompare >::RemovePixel(), itk::Function::VectorMorphologicalGradientHistogram< TInputPixel >::RemovePixel(), itk::ThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >::ThresholdSegmentationLevelSetFunction(), itk::VanHerkGilWermanDilateImageFilter< TImage, TKernel >::VanHerkGilWermanDilateImageFilter(), itk::Function::VectorMorphologicalGradientHistogram< TInputPixel >::VectorMorphologicalGradientHistogram(), itk::Function::VectorMorphologyHistogram< TInputPixel, TCompare >::VectorMorphologyHistogram(), and itk::Function::VectorRankHistogram< TInputPixel >::VectorRankHistogram().

NonpositiveMin() [2/2]

template<typename T >

static T itk::NumericTraits< T >::NonpositiveMin ( const T &  )

inlinestatic

Smallest (most nonpositive) value. This API is needed for VariableLengthVector because its length is only known at run-time.

Definition at line 218 of file itkNumericTraits.h.

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

OneValue() [1/2]

template<typename T >

static T itk::NumericTraits< T >::OneValue ( )

inlinestatic

Return one value. This function should be used to support RGBPixel type and standard types (not vectors)

Definition at line 157 of file itkNumericTraits.h.

References itk::NumericTraits< T >::One.

Referenced by itk::Concept::HasNumericTraits< T >::Constraints::constraints(), itk::RegionBasedLevelSetFunction< TInput, TFeature, TSharedData >::CurvatureSpeed(), itk::LevelSetFunction< TImageType >::CurvatureSpeed(), itk::Functor::DivideOrZeroOut< TNumerator, TDenominator, TOutput >::DivideOrZeroOut(), itk::Path< TInput, TOutput, VDimension >::EndOfInput(), itk::NormalVectorDiffusionFunction< TSparseImageType >::FluxStopFunction(), itk::RegionBasedLevelSetFunction< TInput, TFeature, TSharedData >::LaplacianSmoothingSpeed(), itk::LevelSetFunction< TImageType >::LaplacianSmoothingSpeed(), itk::Functor::LogicOpBase< TInput1, TInput2, TOutput >::LogicOpBase(), itk::NumericTraits< CovariantVector< T, D > >::OneValue(), itk::NumericTraits< DiffusionTensor3D< T > >::OneValue(), itk::NumericTraits< FixedArray< T, D > >::OneValue(), itk::NumericTraits< Point< T, D > >::OneValue(), itk::NumericTraits< RGBAPixel< T > >::OneValue(), itk::NumericTraits< RGBPixel< T > >::OneValue(), itk::NumericTraits< SymmetricSecondRankTensor< T, D > >::OneValue(), itk::NumericTraits< Vector< T, D > >::OneValue(), itk::NumericTraits< T >::OneValue(), itk::Functor::LandweberMethod< TInput1, TInput2, TInput3, TOutput >::operator()(), itk::Functor::InvertIntensityFunctor< InputPixelType >::operator()(), itk::Functor::WeightedAdd2< TInput1, TInput2, TOutput >::SetAlpha(), itk::STAPLEImageFilter< TInputImage, TOutputImage >::STAPLEImageFilter(), and itk::Functor::ThresholdLabeler< TInput, TOutput >::ThresholdLabeler().

OneValue() [2/2]

template<typename T >

static T itk::NumericTraits< T >::OneValue ( const T &  )

inlinestatic

One value. This API is needed for VariableLengthVector because its length is only known at run-time.

Definition at line 236 of file itkNumericTraits.h.

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

SetLength()

template<typename T >

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

inlinestatic

Scalars cannot be resized, so an exception will be thrown if the input size is not 1. If the size is valid the will be zeros. This API is needed for VariableLengthVector because its length is only known at run-time. Specializations of the VariableLengthVector will provide a different implementation where a vector of the correct size is built.

Definition at line 186 of file itkNumericTraits.h.

Referenced by itk::Functor::LabelToRGBFunctor< TLabel, TRGBPixel >::AddColor(), itk::Functor::LabelToRGBFunctor< TLabel, TRGBPixel >::LabelToRGBFunctor(), itk::Functor::LabelOverlayFunctor< TInputPixel, TLabel, TRGBPixel >::operator()(), and itk::Statistics::KdTreeBasedKmeansEstimator< TKdTree >::CandidateVector::SetCentroids().

ZeroValue() [1/2]

template<typename T >

static T itk::NumericTraits< T >::ZeroValue ( )

inlinestatic

Return zero value. This function should be used to support RGBPixel type and standard types (not vectors)

Definition at line 149 of file itkNumericTraits.h.

References itk::NumericTraits< T >::Zero.

Referenced by itk::Concept::HasNumericTraits< T >::Constraints::constraints(), itk::NumericTraits< CovariantVector< T, D > >::ZeroValue(), itk::NumericTraits< DiffusionTensor3D< T > >::ZeroValue(), itk::NumericTraits< FixedArray< T, D > >::ZeroValue(), itk::NumericTraits< Point< T, D > >::ZeroValue(), itk::NumericTraits< RGBAPixel< T > >::ZeroValue(), itk::NumericTraits< RGBPixel< T > >::ZeroValue(), itk::NumericTraits< SymmetricSecondRankTensor< T, D > >::ZeroValue(), itk::NumericTraits< Vector< T, D > >::ZeroValue(), and itk::NumericTraits< T >::ZeroValue().

ZeroValue() [2/2]

template<typename T >

static T itk::NumericTraits< T >::ZeroValue ( const T &  )

inlinestatic

Zero value. This API is needed for VariableLengthVector because its length is only known at run-time.

Definition at line 227 of file itkNumericTraits.h.

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

Member Data Documentation

IsComplex

template<typename T >

constexpr bool itk::NumericTraits< T >::IsComplex = false

staticconstexpr

Is a given type complex? – default is no. For uniform array data types in ITK, the value of IsComplex is determined by the component elements of the array.

Definition at line 144 of file itkNumericTraits.h.

IsInteger

template<typename T >

constexpr bool itk::NumericTraits< T >::IsInteger = false

staticconstexpr

Is a given type an integer? – default is no. For uniform array data types in ITK, the value of IsInteger is determined by the component elements of the array.

Definition at line 139 of file itkNumericTraits.h.

IsSigned

template<typename T >

constexpr bool itk::NumericTraits< T >::IsSigned = false

staticconstexpr

Is a given type signed? – default is no. For uniform array data types in ITK, the value of IsSigned is determined by the component elements of the array.

Definition at line 134 of file itkNumericTraits.h.

One

template<typename T >

const T ITKCommon_EXPORT itk::NumericTraits< T >::One

static

Multiplicative identity.

Definition at line 94 of file itkNumericTraits.h.

Referenced by itk::NumericTraits< T >::OneValue().

Zero

template<typename T >

const T ITKCommon_EXPORT itk::NumericTraits< T >::Zero

static

Additive identity.

Definition at line 91 of file itkNumericTraits.h.

Referenced by itk::NumericTraits< T >::IsNegative(), itk::NumericTraits< T >::IsNonnegative(), itk::NumericTraits< T >::IsNonpositive(), itk::NumericTraits< T >::IsPositive(), and itk::NumericTraits< T >::ZeroValue().

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

• itkNumericTraits.h