math Namespace Reference

Classes
struct	BaseNumTraits
	Type traits on real numerical types (float, double, ...) More...
struct	FuncIteratorVecAccessTag
	Tag dispatch for iterator interface provided by static functions. More...
struct	Norm
	Computation of norms in K-vector space. More...
struct	NumTraits
struct	NumTraits< double >
	Specialization for double. More...
struct	NumTraits< float >
	Specialization for float. More...
struct	NumTraits< long double >
	Specialization for long double. More...
struct	PointerVecAccessTag
	Tag dispatch for vector coordinates to be accessed with a static constPointer() function. More...
struct	StdArrayVecAccessTag
	Tag dispatch for vector coordinates to be accessed with a temporary std::array<> object. More...
struct	StlIteratorVecAccessTag
	Tag dispatch for STL iterator interface. More...
struct	VecAccess
	Empty generic class to be specialized by vector type. More...
struct	VecAccessTag
	Base class for tag dispatching on how to access vector coordinates. More...
struct	VecTraits
	Type traits on vector types. More...

Typedefs
typedef Norm < math::internal::EuclideanFunc >	EuclideanNorm
	Provides computation of the euclidean norm More...
typedef Norm < internal::ManhattanFunc >	ManhattanNorm
	Provides computation of the manhattan(or taxicab) norm More...
typedef Norm < internal::MaximumFunc >	MaximumNorm
	Provides computation of the maximum norm More...
typedef Norm < internal::SqrEuclideanFunc >	SqrEuclideanNorm
	Provides computation of the squared euclidean norm. More...

Enumerations
enum	ComparisonCheckFlags {   NoCheck = 0x1, InfinityCheck = 0x2, NanCheck = 0x4, SignCheck = 0x8,   AllCheck = InfinityCheck | NanCheck | SignCheck }

Functions
template<typename T >
bool	equalByAbsError (const T &a, const T &b, const T &tol=static_cast< T >(1e-6))
template<typename T >
bool	equalByRelError (const T &a, const T &b, const T &maxRelError=static_cast< T >(1e-5), const T &maxAbsError=std::numeric_limits< T >::epsilon())
template<typename T >
bool	equalByIntDiff (const T &a, const T &b, typename __impl::TypeTraits< T >::IntegralType_t maxDistInts=10, ComparisonCheckFlags checkFlags=NoCheck)
template<typename T >
T	clamped (const T &v, const T &min, const T &max)
template<typename T >
double	radianToDegree (const T &angle)
template<typename T >
double	degreeToRadian (const T &angle)
template<typename T >
int	sign (const T &v)
template<typename T >
T	square (const T &x)
template<typename T >
T	zero ()
template<typename T >
bool	isPositive (const T &v)
template<typename T >
bool	isNegative (const T &v)

Variables
const double	pi = 3.1415926535897932384626433832795
const double	pi2 = 6.283185307179586476925286766559

Typedef Documentation

typedef Norm<math::internal::EuclideanFunc> math::EuclideanNorm

Provides computation of the euclidean norm

typedef Norm<internal::ManhattanFunc> math::ManhattanNorm

Provides computation of the manhattan(or taxicab) norm

typedef Norm<internal::MaximumFunc> math::MaximumNorm

Provides computation of the maximum norm

typedef Norm<internal::SqrEuclideanFunc> math::SqrEuclideanNorm

Provides computation of the squared euclidean norm.

Enumeration Type Documentation

enum math::ComparisonCheckFlags

Enumerator
NoCheck
InfinityCheck
NanCheck
SignCheck
AllCheck

Function Documentation

template<typename T >

T math::clamped	(	const T &	v,
		const T &	min,
		const T &	max
	)

template<typename T >

double math::degreeToRadian

(

const T &

angle

)

template<typename T >

bool math::equalByAbsError	(	const T &	a,
		const T &	b,
		const T &	tol = static_cast< T >(1e-6)
	)

template<typename T >

bool math::equalByIntDiff	(	const T &	a,
		const T &	b,
		typename __impl::TypeTraits< T >::IntegralType_t	maxDistInts = 10,
		ComparisonCheckFlags	checkFlags = NoCheck
	)

template<typename T >

bool math::equalByRelError	(	const T &	a,
		const T &	b,
		const T &	maxRelError = static_cast< T >(1e-5),
		const T &	maxAbsError = std::numeric_limits< T >::epsilon()
	)

template<typename T >

bool math::isNegative

(

const T &

v

)

template<typename T >

bool math::isPositive

(

const T &

v

)

template<typename T >

double math::radianToDegree

(

const T &

angle

)

template<typename T >

int math::sign

(

const T &

v

)

template<typename T >

T math::square

(

const T &

x

)

template<typename T >

T math::zero

(

)

Variable Documentation

const double math::pi = 3.1415926535897932384626433832795

const double math::pi2 = 6.283185307179586476925286766559