Functions | |
| template<typename TReturn , typename TInput > | |
| TReturn | CastWithRangeCheck (TInput x) |
| template<TReturn , typename TInput > | |
| Ceil (TInput x) | |
| int | Ceil (float x) |
| int | Ceil (double x) |
| int | Floor (float x) |
| template<TReturn , typename TInput > | |
| Floor (TInput x) | |
| int | Floor (double x) |
| int | Round (float x) |
| int | Round (double x) |
| template<typename TReturn , typename TInput > | |
| TReturn | Round (TInput x) |
| template<TReturn , typename TInput > | |
| RoundHalfIntegerToEven (TInput x) | |
| template<TReturn , typename TInput > | |
| RoundHalfIntegerUp (TInput x) | |
| int | RoundHalfIntegerUp (float x) |
| int | RoundHalfIntegerUp (double x) |
| int | RoundHalfIntegerToEven (double x) |
| int | RoundHalfIntegerToEven (float x) |
Variables | |
| static const double | ln10 = 2.30258509299404568402 |
| static const double | ln2 = 0.69314718055994530942 |
| static const double | log10e = 0.43429448190325182765 |
| static const double | log2e = 1.4426950408889634074 |
| static const double | one_over_pi = 0.31830988618379067154 |
| static const double | one_over_sqrt2pi = 0.39894228040143267794 |
| static const double | pi_over_2 = 1.57079632679489661923 |
| static const double | pi_over_4 = 0.78539816339744830962 |
| static const double | sqrt1_2 = 0.70710678118654752440 |
| static const double | sqrt2 = 1.41421356237309504880 |
| static const double | two_over_pi = 0.63661977236758134308 |
| static const double | two_over_sqrtpi = 1.12837916709551257390 |
Function Documentation
template<typename TReturn , typename TInput >
| TReturn itk::Math::CastWithRangeCheck | ( | TInput | x | ) | [inline] |
Definition at line 228 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).
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).
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
| 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.
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 | ( | 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.
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).
Variable Documentation
const double itk::Math::ln10 = 2.30258509299404568402 [static] |
![\[ \log_e 10 \]](form_164.png)
const double itk::Math::ln2 = 0.69314718055994530942 [static] |
![\[ \log_e 2 \]](form_163.png)
const double itk::Math::log10e = 0.43429448190325182765 [static] |
![\[ \log_10 e \]](form_162.png)
const double itk::Math::log2e = 1.4426950408889634074 [static] |
![\[e] The base of the natural logarithm or Euler's number */ static const double e = 2.7182818284590452354; /** \brief \f[ \log_2 e \]](form_161.png)
const double itk::Math::one_over_pi = 0.31830988618379067154 [static] |
![\[ \frac{1}{\pi} \]](form_167.png)
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] |
![\[ \frac{2}{\sqrt{2\pi}} \]](form_170.png)
const double itk::Math::pi_over_2 = 1.57079632679489661923 [static] |
![\[ \pi ] */ static const double pi = 3.14159265358979323846; /** \brief \f[ \frac{\pi}{2} \]](form_165.png)
const double itk::Math::pi_over_4 = 0.78539816339744830962 [static] |
![\[ \frac{\pi}{4} \]](form_166.png)
const double itk::Math::sqrt1_2 = 0.70710678118654752440 [static] |
![\[ \sqrt{ \frac{1}{2}} \]](form_172.png)
const double itk::Math::sqrt2 = 1.41421356237309504880 [static] |
![\[ \sqrt{2} \]](form_171.png)
const double itk::Math::two_over_pi = 0.63661977236758134308 [static] |
![\[ \frac{2}{\pi} \]](form_168.png)
const double itk::Math::two_over_sqrtpi = 1.12837916709551257390 [static] |
![\[ \frac{2}{\sqrt{\pi}} \]](form_169.png)
