itkMath.h File Reference

#include <cassert>
#include <complex>
#include <cmath>
#include <limits>
#include <type_traits>
#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
namespace	itk
namespace	itk::Math
namespace	itk::Math::Detail

Macros
#define	itkTemplateFloatingToIntegerMacro(name)

Functions
template<typename T>
auto	itk::Math::Absolute (const std::complex< T > &x) noexcept
template<typename T>
constexpr auto	itk::Math::Absolute (T x) noexcept
template<typename T1, typename T2>
bool	itk::Math::AlmostEquals (T1 x1, T2 x2)
TInput TInput auto	itk::Math::CastWithRangeCheck (TInput x)
TInput	itk::Math::Ceil (TInput x) template< typename TReturn
template<typename TInput1, typename TInput2>
constexpr bool	itk::Math::ExactlyEquals (const TInput1 &x1, const TInput2 &x2)
template<typename T>
constexpr 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>
constexpr Detail::FloatIEEE< T >::IntType	itk::Math::FloatDifferenceULP (T x1, T x2)
template<TReturn, typename TInput>
	itk::Math::Floor (TInput x) template< TReturn
template<typename T1, typename T2>
bool	itk::Math::NotAlmostEquals (T1 x1, T2 x2)
template<typename TInput1, typename TInput2>
constexpr bool	itk::Math::NotExactlyEquals (const TInput1 &x1, const TInput2 &x2)
TInput TInput constexpr auto	itk::Math::Round (TInput x)
template<TReturn, typename TInput>
	itk::Math::RoundHalfIntegerToEven (TInput x) template< TReturn
TInput	itk::Math::RoundHalfIntegerUp (TInput x) template< typename TReturn
template<typename TReturnType = uintmax_t>
constexpr auto	itk::Math::UnsignedPower (const uintmax_t base, const uintmax_t exponent) noexcept -> TReturnType
template<typename TReturnType = uintmax_t>
constexpr auto	itk::Math::UnsignedProduct (const uintmax_t a, const uintmax_t b) noexcept
template<typename T, typename = std::enable_if_t<std::is_integral_v<T>>>
constexpr bool	itk::Math::IsPrime (T n)
template<typename T, typename = std::enable_if_t<std::is_integral_v<T>>>
constexpr T	itk::Math::GreatestPrimeFactor (T 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

itkTemplateFloatingToIntegerMacro

#define itkTemplateFloatingToIntegerMacro

(

name

)

Value:

  template <typename TReturn, typename TInput>                              \
  inline constexpr auto name(TInput x)                                      \
  {                                                                         \
    if constexpr (sizeof(TReturn) <= 4)                                     \
    {                                                                       \
      return static_cast<TReturn>(Detail::name##_32(x));                    \
    }                                                                       \
    else if constexpr (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 106 of file itkMath.h.

Referenced by itk::Math::Ceil(), and itk::Math::RoundHalfIntegerUp().