itkMath.h File Reference

#include <cmath>
#include "itkMathDetail.h"
#include "itkConceptChecking.h"
#include <vnl/vnl_math.h>
#include <vxl_version.h>

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Classes
struct	itk::Math::Detail::AlmostEqualsFloatVsFloat
struct	itk::Math::Detail::AlmostEqualsFloatVsInteger
struct	itk::Math::Detail::AlmostEqualsFunctionSelector< TInput1IsIntger, TInput1IsSigned, TInput2IsInteger, TInput2IsSigned >
struct	itk::Math::Detail::AlmostEqualsIntegerVsFloat
struct	itk::Math::Detail::AlmostEqualsPlainOldEquals
struct	itk::Math::Detail::AlmostEqualsSignedVsUnsigned
struct	itk::Math::Detail::AlmostEqualsUnsignedVsSigned

Namespaces
	itk
	itk::Math
	itk::Math::Detail

Macros
#define	ITK_X_ASSERT(CHECK)   ((CHECK) ? void(0) : [] { assert(!#CHECK); }())
#define	itkTemplateFloatingToIntegerMacro(name)

Functions
bool	itk::Math::abs (bool x)
unsigned char	itk::Math::abs (char x)
unsigned short	itk::Math::abs (short x)
unsigned char	itk::Math::abs (signed char x)
unsigned char	itk::Math::abs (unsigned char x)
unsigned int	itk::Math::abs (unsigned int x)
unsigned long long	itk::Math::abs (unsigned long long x)
unsigned long	itk::Math::abs (unsigned long x)
unsigned short	itk::Math::abs (unsigned short x)
template<typename T1 , typename T2 >
bool	itk::Math::AlmostEquals (T1 x1, T2 x2)
template<typename TReturn , typename TInput >
TReturn	itk::Math::CastWithRangeCheck (TInput x)
template<TReturn , typename TInput >
	itk::Math::Ceil (TInput x)
template<typename TInput1 , typename TInput2 >
bool	itk::Math::ExactlyEquals (const TInput1 &x1, const TInput2 &x2)
template<typename T >
T	itk::Math::FloatAddULP (T x, typename Detail::FloatIEEE< T >::IntType ulps)
template<typename T >
bool	itk::Math::FloatAlmostEqual (T x1, T x2, typename Detail::FloatIEEE< T >::IntType maxUlps=4, typename Detail::FloatIEEE< T >::FloatType maxAbsoluteDifference=0.1 *itk::NumericTraits< T >::epsilon())
template<typename T >
Detail::FloatIEEE< T >::IntType	itk::Math::FloatDifferenceULP (T x1, T x2)
template<TReturn , typename TInput >
	itk::Math::Floor (TInput x)
template<typename T1 , typename T2 >
bool	itk::Math::NotAlmostEquals (T1 x1, T2 x2)
template<typename TInput1 , typename TInput2 >
bool	itk::Math::NotExactlyEquals (const TInput1 &x1, const TInput2 &x2)
template<typename TReturn , typename TInput >
TReturn	itk::Math::Round (TInput x)
template<TReturn , typename TInput >
	itk::Math::RoundHalfIntegerToEven (TInput x)
template<TReturn , typename TInput >
	itk::Math::RoundHalfIntegerUp (TInput x)
template<typename TReturnType = uintmax_t>
constexpr TReturnType	itk::Math::UnsignedPower (const uintmax_t base, const uintmax_t exponent) noexcept
template<typename TReturnType = uintmax_t>
constexpr TReturnType	itk::Math::UnsignedProduct (const uintmax_t a, const uintmax_t b) noexcept
ITKCommon_EXPORT bool	itk::Math::IsPrime (unsigned int n)
ITKCommon_EXPORT bool	itk::Math::IsPrime (unsigned long long n)
ITKCommon_EXPORT bool	itk::Math::IsPrime (unsigned long n)
ITKCommon_EXPORT bool	itk::Math::IsPrime (unsigned short n)
ITKCommon_EXPORT unsigned int	itk::Math::GreatestPrimeFactor (unsigned int n)
ITKCommon_EXPORT unsigned long long	itk::Math::GreatestPrimeFactor (unsigned long long n)
ITKCommon_EXPORT unsigned long	itk::Math::GreatestPrimeFactor (unsigned long n)
ITKCommon_EXPORT unsigned short	itk::Math::GreatestPrimeFactor (unsigned short n)

Variables
static constexpr double	itk::Math::deg_per_rad = vnl_math::deg_per_rad
static constexpr double	itk::Math::e = vnl_math::e
static constexpr double	itk::Math::eps = vnl_math::eps
static constexpr double	itk::Math::euler = vnl_math::euler
static constexpr float	itk::Math::float_eps = vnl_math::float_eps
static constexpr float	itk::Math::float_sqrteps = vnl_math::float_sqrteps
static constexpr double	itk::Math::ln10 = vnl_math::ln10
static constexpr double	itk::Math::ln2 = vnl_math::ln2
static constexpr double	itk::Math::log10e = vnl_math::log10e
static constexpr double	itk::Math::log2e = vnl_math::log2e
static constexpr double	itk::Math::one_over_pi = vnl_math::one_over_pi
static constexpr double	itk::Math::one_over_sqrt2pi = vnl_math::one_over_sqrt2pi
static constexpr double	itk::Math::pi = vnl_math::pi
static constexpr double	itk::Math::pi_over_180 = vnl_math::pi_over_180
static constexpr double	itk::Math::pi_over_2 = vnl_math::pi_over_2
static constexpr double	itk::Math::pi_over_4 = vnl_math::pi_over_4
static constexpr double	itk::Math::sqrt1_2 = vnl_math::sqrt1_2
static constexpr double	itk::Math::sqrt1_3 = vnl_math::sqrt1_3
static constexpr double	itk::Math::sqrt2 = vnl_math::sqrt2
static constexpr double	itk::Math::sqrt2pi = vnl_math::sqrt2pi
static constexpr double	itk::Math::sqrteps = vnl_math::sqrteps
static constexpr double	itk::Math::two_over_pi = vnl_math::two_over_pi
static constexpr double	itk::Math::two_over_sqrtpi = vnl_math::two_over_sqrtpi
static constexpr double	itk::Math::twopi = vnl_math::twopi

Macro Definition Documentation

ITK_X_ASSERT

#define ITK_X_ASSERT

(

CHECK

)

((CHECK) ? void(0) : [] { assert(!#CHECK); }())

Definition at line 772 of file itkMath.h.

itkTemplateFloatingToIntegerMacro

#define itkTemplateFloatingToIntegerMacro

(

name

)

Value:

template <typename TReturn, typename TInput>                              \
  inline TReturn name(TInput x)                                             \
  {                                                                         \
                                                                            \
    if (sizeof(TReturn) <= 4)                                               \
    {                                                                       \
      return static_cast<TReturn>(Detail::name##_32(x));                    \
    }                                                                       \
    else if (sizeof(TReturn) <= 8)                                          \
    {                                                                       \
      return static_cast<TReturn>(Detail::name##_64(x));                    \
    }                                                                       \
    else                                                                    \
    {                                                                       \
      return static_cast<TReturn>(Detail::name##_base<TReturn, TInput>(x)); \
    }                                                                       \
  }

A useful macro to generate a template floating point to integer conversion templated on the return type and using either the 32 bit, the 64 bit or the vanilla version

Definition at line 104 of file itkMath.h.