CRNMath.h File Reference

#include <CRN.h>
#include <cmath>
#include <complex>
#include <algorithm>
#include <CRNMath/CRNTrigonometry.h>

Include dependency graph for CRNMath.h:

This graph shows which files directly or indirectly include this file:

Go to the source code of this file.

Namespaces
	crn

Macros
#define	M_PI   3.14159265358979323846

Enumerations
enum	crn::Direction {   crn::Direction::INVALID = 0, crn::Direction::LEFT = 1, crn::Direction::RIGHT = 2, crn::Direction::TOP = 4,   crn::Direction::BOTTOM = 8 }
	An enumeration of directions. More...
enum	crn::Orientation { crn::Orientation::INVALID = 0, crn::Orientation::HORIZONTAL, crn::Orientation::VERTICAL }
	An enumeration of orientations. More...
enum	crn::DistanceType { crn::DistanceType::INVALID = 0, crn::DistanceType::D4, crn::DistanceType::D8, crn::DistanceType::EUCLIDEAN }
	An enumeration of distances. More...

Functions
template<typename T >
const T &	crn::Max (const T &a, const T &b)
	Returns the max of two values. More...
template<typename T >
const T &	crn::Min (const T &a, const T &b)
	Returns the min of two values. More...
template<typename T >
const T &	crn::Max (const T &a, const T &b, const T &c)
	Returns the max of three values. More...
template<typename T >
const T &	crn::Min (const T &a, const T &b, const T &c)
	Returns the min of three values. More...
template<typename T >
constexpr TypeInfo< T >::SumType	crn::Twice (const T &v) noexcept(noexcept(v+v))
	Returns the double of a value. More...
template<typename T >
constexpr TypeInfo< T >::SumType	crn::Thrice (const T &v) noexcept(noexcept(v+v))
	Returns three times a value. More...
template<typename T >
constexpr int	crn::SignOf (const T &x) noexcept(noexcept(x< 0))
	Returns the sign (-1 or 1) of a value. More...
template<typename T >
constexpr SumType< T >	crn::Sqr (const T &v) noexcept(noexcept(v *v))
	Returns the square of a value. More...
template<typename T >
constexpr T	crn::Abs (const T &v) noexcept(noexcept(v< 0)&&noexcept(-v))
	Returns the absolute value of a value. More...
template<typename T >
T	crn::Abs (const std::complex< T > &v) noexcept(noexcept(std::abs(std::complex< T >(0))))
	Returns the absolute value of a value. More...
template<typename T >
T	crn::AbsMax (const T &a, const T &b) noexcept(noexcept(Abs(a)))
	Returns the value that has the maximal absolute value. More...
template<typename T >
T	crn::AbsMin (const T &a, const T &b) noexcept(noexcept(Abs(a)))
	Returns the value that has the minimal absolute value. More...
template<typename T >
T	crn::AbsMaxSameSign (const T &a, const T &b) noexcept(noexcept(Abs(a))&&noexcept(SignOf(a)))
	Returns the value that has the maximal absolute value if the values have the same sign. More...
template<typename T >
T	crn::AbsMinSameSign (const T &a, const T &b) noexcept(noexcept(Abs(a))&&noexcept(SignOf(a)))
	Returns the value that has the minimal absolute value if the values have the same sign. More...
template<typename T >
const T &	crn::Cap (const T &v, const T &min, const T &max)
	Bounds a value to an interval. More...
double	crn::Gauss (double x, double sigma)
	Computes Gauss function at x for a given standard deviation (centered in 0) More...
double	crn::MeanGauss (double x, double sigma)
	Computes Gauss function at x for a given standard deviation (centered in 0) – to use with matrices. More...
double	crn::Pythagoras (double a, double b) noexcept
	Computes sqrt(a²+b²) without destructive underflow or overflow. More...
double	crn::Pythagoras (int a, int b) noexcept
	Computes sqrt(a²+b²) without destructive underflow or overflow. More...
double	crn::Pythagoras (double a, double b, double c) noexcept
	Computes sqrt(a²+b²+c²) More...
template<class ITER >
double	crn::Pythagoras (ITER it_begin, ITER it_end)
	Computes euclidean norm. More...
template<class ITER >
void	crn::Scale (ITER it_begin, ITER it_end, const double s)
	Scale a collection of numbers. More...
template<typename Unit >
Direction	crn::ToDirection (const Angle< Unit > &ang) noexcept
Orientation	crn::ToOrientation (Direction d) noexcept
template<typename T , typename std::enable_if< std::is_arithmetic< T >::value, int >::type = 0>
double	crn::Distance (T o1, T o2)
	Distance between two numbers. More...

Macro Definition Documentation

#define M_PI   3.14159265358979323846

Definition at line 38 of file CRNMath.h.