Functions
template<typename TReturn , typename TInput >
TReturn	CastWithRangeCheck (TInput x)
template<TReturn , typename TInput >
	Ceil (TInput x)
	Round towards plus infinity.
template<TReturn , typename TInput >
	Floor (TInput x)
	Round towards minus infinity.
template<typename TReturn , typename TInput >
TReturn	Round (TInput x)
	Round towards nearest integer (This is a synonym for RoundHalfIntegerUp)
template<TReturn , typename TInput >
	RoundHalfIntegerToEven (TInput x)
	Round towards nearest integer.
template<TReturn , typename TInput >
	RoundHalfIntegerUp (TInput x)
	Round towards nearest integer.

int	RoundHalfIntegerToEven (double x)
int	RoundHalfIntegerToEven (float x)
int	RoundHalfIntegerUp (double x)
int	RoundHalfIntegerUp (float x)
int	Round (double x)
int	Round (float x)
int	Floor (double x)
int	Floor (float x)
int	Ceil (double x)
int	Ceil (float x)

Variables
static const double	ln10 = 2.30258509299404568402
	$\log_e 10$
static const double	ln2 = 0.69314718055994530942
	$\log_e 2$
static const double	log10e = 0.43429448190325182765
	$\log_10 e$
static const double	log2e = 1.4426950408889634074
	$e] The base of the natural logarithm or Euler's number / static const double e = 2.7182818284590452354; /* \brief \f[ \log_2 e$
static const double	one_over_pi = 0.31830988618379067154
	$\frac{1}{\pi}$
static const double	one_over_sqrt2pi = 0.39894228040143267794
	$\frac{2}{\sqrt{2\pi}}$
static const double	pi_over_2 = 1.57079632679489661923
	$\pi ] / static const double pi = 3.14159265358979323846; /* \brief \f[ \frac{\pi}{2}$
static const double	pi_over_4 = 0.78539816339744830962
	$\frac{\pi}{4}$
static const double	sqrt1_2 = 0.70710678118654752440
	$\sqrt{ \frac{1}{2}}$
static const double	sqrt2 = 1.41421356237309504880
	$\sqrt{2}$
static const double	two_over_pi = 0.63661977236758134308
	$\frac{2}{\pi}$
static const double	two_over_sqrtpi = 1.12837916709551257390
	$\frac{2}{\sqrt{\pi}}$

Function Documentation

template<typename TReturn , typename TInput >

TReturn itk::Math::CastWithRangeCheck ( TInput x )

inline

This class requires OnlyDefinedForIntegerTypes1 in the form of (itk::Concept::IsInteger<TReturn>)

This class requires OnlyDefinedForIntegerTypes2 in the form of (itk::Concept::IsInteger<TInput>)

Definition at line 225 of file itkMath.h.

References itkConceptMacro.

template<TReturn , typename TInput >

itk::Math::Ceil ( TInput x )

Round towards plus infinity.

The behavior of overflow is undefined due to numerous implementations.

Warning:: argument absolute value must be less than INT_MAX/2 for vnl_math_ceil to be guaranteed to work.; We also assume that the rounding mode is not changed from the default one (or at least that it is always restored to the default one).

int itk::Math::Ceil ( double x )

inline

Deprecated:: These methods have been deprecated as of ITK 3.16. Please use the templated methods of the form itk::Math::XXX<TReturn,TINput(TInput x) instead.

See also:: RoundHalfIntegerUp<TReturn, TInput>()

Definition at line 218 of file itkMath.h.

int itk::Math::Ceil ( float x )

inline

Deprecated:: These methods have been deprecated as of ITK 3.16. Please use the templated methods of the form itk::Math::XXX<TReturn,TINput(TInput x) instead.

See also:: RoundHalfIntegerUp<TReturn, TInput>()

Definition at line 219 of file itkMath.h.

template<TReturn , typename TInput >

itk::Math::Floor ( TInput x )

Round towards minus infinity.

The behavior of overflow is undefined due to numerous implementations.

Warning:: argument absolute value must be less than NumbericTraits<TReturn>::max()/2 for vnl_math_floor to be guaranteed to work.; We also assume that the rounding mode is not changed from the default one (or at least that it is always restored to the default one).

int itk::Math::Floor ( double x )

inline

Deprecated:: These methods have been deprecated as of ITK 3.16. Please use the templated methods of the form itk::Math::XXX<TReturn,TINput(TInput x) instead.

See also:: RoundHalfIntegerUp<TReturn, TInput>()

Definition at line 215 of file itkMath.h.

int itk::Math::Floor ( float x )

inline

Deprecated:: These methods have been deprecated as of ITK 3.16. Please use the templated methods of the form itk::Math::XXX<TReturn,TINput(TInput x) instead.

See also:: RoundHalfIntegerUp<TReturn, TInput>()

Definition at line 216 of file itkMath.h.

template<typename TReturn , typename TInput >

TReturn itk::Math::Round ( TInput x )

inline

Round towards nearest integer (This is a synonym for RoundHalfIntegerUp)

Template Parameters:

TReturn	must be an interger type
TInput	must be float or double

See also:: RoundHalfIntegerUp<TReturn, TInput>()

Definition at line 162 of file itkMath.h.

int itk::Math::Round ( double x )

inline

Deprecated:: These methods have been deprecated as of ITK 3.16. Please use the templated methods of the form itk::Math::XXX<TReturn,TINput(TInput x) instead.

See also:: RoundHalfIntegerUp<TReturn, TInput>()

Definition at line 212 of file itkMath.h.

int itk::Math::Round ( float x )

inline

Deprecated:: These methods have been deprecated as of ITK 3.16. Please use the templated methods of the form itk::Math::XXX<TReturn,TINput(TInput x) instead.

See also:: RoundHalfIntegerUp<TReturn, TInput>()

Definition at line 213 of file itkMath.h.

template<TReturn , typename TInput >

itk::Math::RoundHalfIntegerToEven ( TInput x )

Round towards nearest integer.

Template Parameters:

TReturn	must be an interger type
TInput	must be float or double halfway cases are rounded towards the nearest even integer, e.g. RoundHalfIntegerToEven( 1.5) == 2 RoundHalfIntegerToEven(-1.5) == -2 RoundHalfIntegerToEven( 2.5) == 2 RoundHalfIntegerToEven( 3.5) == 4

The behavior of overflow is undefined due to numerous implementations.

Warning:: We assume that the rounding mode is not changed from the default one (or at least that it is always restored to the default one).

int itk::Math::RoundHalfIntegerToEven ( double x )

inline

Deprecated:: These methods have been deprecated as of ITK 3.16. Please use the templated methods of the form itk::Math::XXX<TReturn,TINput(TInput x) instead.

See also:: RoundHalfIntegerUp<TReturn, TInput>()

Definition at line 206 of file itkMath.h.

int itk::Math::RoundHalfIntegerToEven ( float x )

inline

Deprecated:: These methods have been deprecated as of ITK 3.16. Please use the templated methods of the form itk::Math::XXX<TReturn,TINput(TInput x) instead.

See also:: RoundHalfIntegerUp<TReturn, TInput>()

Definition at line 207 of file itkMath.h.

template<TReturn , typename TInput >

itk::Math::RoundHalfIntegerUp ( TInput x )

Round towards nearest integer.

Template Parameters:

TReturn	must be an interger type
TInput	must be float or double halfway cases are rounded upward, e.g. RoundHalfIntegerUp( 1.5) == 2 RoundHalfIntegerUp(-1.5) == -1 RoundHalfIntegerUp( 2.5) == 3

The behavior of overflow is undefined due to numerous implementations.

Warning:: The argument absolute value must be less than NumbericTraits<TReturn>::max()/2 for RoundHalfIntegerUp to be guaranteed to work.; We also assume that the rounding mode is not changed from the default one (or at least that it is always restored to the default one).

int itk::Math::RoundHalfIntegerUp ( double x )

inline

Deprecated:: These methods have been deprecated as of ITK 3.16. Please use the templated methods of the form itk::Math::XXX<TReturn,TINput(TInput x) instead.

See also:: RoundHalfIntegerUp<TReturn, TInput>()

Definition at line 209 of file itkMath.h.

int itk::Math::RoundHalfIntegerUp ( float x )

inline

Deprecated:: These methods have been deprecated as of ITK 3.16. Please use the templated methods of the form itk::Math::XXX<TReturn,TINput(TInput x) instead.

See also:: RoundHalfIntegerUp<TReturn, TInput>()

Definition at line 210 of file itkMath.h.

Variable Documentation

const double itk::Math::ln10 = 2.30258509299404568402

static

$\log_e 10$

Definition at line 50 of file itkMath.h.

const double itk::Math::ln2 = 0.69314718055994530942

static

$\log_e 2$

Definition at line 48 of file itkMath.h.

Referenced by itk::DiffeomorphicDemonsRegistrationFilter< TFixedImage, TMovingImage, TDeformationField >::ApplyUpdate(), and itk::ExponentialDeformationFieldImageFilter< TInputImage, TOutputImage >::GenerateData().

const double itk::Math::log10e = 0.43429448190325182765

static

$\log_10 e$

Definition at line 46 of file itkMath.h.

const double itk::Math::log2e = 1.4426950408889634074

static

$e] The base of the natural logarithm or Euler's number */ static const double e = 2.7182818284590452354; /** \brief \f[ \log_2 e$

Definition at line 44 of file itkMath.h.

const double itk::Math::one_over_pi = 0.31830988618379067154

static

$\frac{1}{\pi}$

Definition at line 58 of file itkMath.h.

Referenced by itk::AtanRegularizedHeavisideStepFunction< TInput, TOutput >::Evaluate(), and itk::AtanRegularizedHeavisideStepFunction< TInput, TOutput >::EvaluateDerivative().

const double itk::Math::one_over_sqrt2pi = 0.39894228040143267794

static

$\frac{2}{\sqrt{2\pi}}$

Definition at line 64 of file itkMath.h.

Referenced by itk::Statistics::GaussianDistribution::PDF().

const double itk::Math::pi_over_2 = 1.57079632679489661923

static

$\pi ] */ static const double pi = 3.14159265358979323846; /** \brief \f[ \frac{\pi}{2}$

Definition at line 54 of file itkMath.h.

Referenced by itk::DeformableSimplexMesh3DFilter< TInputMesh, TOutputMesh >::L_Func().

const double itk::Math::pi_over_4 = 0.78539816339744830962

static

$\frac{\pi}{4}$

Definition at line 56 of file itkMath.h.

const double itk::Math::sqrt1_2 = 0.70710678118654752440

static

$\sqrt{ \frac{1}{2}}$

Definition at line 68 of file itkMath.h.

Referenced by itk::Statistics::GaussianDistribution::CDF(), and itk::Statistics::GaussianDistribution::InverseCDF().

const double itk::Math::sqrt2 = 1.41421356237309504880

static

$\sqrt{2}$

Definition at line 66 of file itkMath.h.

Referenced by itk::FlatStructuringElement< VDimension >::PolySub().

const double itk::Math::two_over_pi = 0.63661977236758134308

static

$\frac{2}{\pi}$

Definition at line 60 of file itkMath.h.

const double itk::Math::two_over_sqrtpi = 1.12837916709551257390

static

$\frac{2}{\sqrt{\pi}}$

Definition at line 62 of file itkMath.h.

Functions

Variables

Function Documentation

Variable Documentation