Saf::Math::Algebra Namespace Reference

Implementations of various objects from algebra. More...

Namespaces
namespace	Eigenvectors
	Eigenvectors and eigenvalues computation routines.
Classes
class	Hyperplane
	Class implementing general N-dimensional plane from linear algebra. More...
class	Matrix
	Class representing general matrix object from linear algebra. More...
class	SquareMatrix
	Class representing square matrices from linear algebra. More...
class	Vector
	Class representing vector object from linear algebra. More...
Functions
template<class T >
T	ClockwiseAngle (const Vector< 2, T > &v1, const Vector< 2, T > &v2)
	Calculates the clockwise angle between two 2D vectors.
template<class T >
Vector< 3, T >	CrossProduct (const Vector< 3, T > &v1, const Vector< 3, T > &v2)
	Cross product of two 3D vectors.
template<class T >
T	Gcd (T a, T b)
	Greates common divisor.
template<class T >
T	Gcd (T a, T b, T c)
	Greates common divisor.
template<class FwdIter >
Type::IteratorTraits< FwdIter > ::ValType	Gcd (FwdIter begin, FwdIter end)
	Greates common divisor of a sequence of values.
template<class T >
T	Lcm (T a, T b)
	Least common multiple.
template<class T >
T	Lcm (T a, T b, T c)
	Least common multiple.
template<class FwdIter >
Type::IteratorTraits< FwdIter > ::ValType	Lcm (FwdIter begin, FwdIter end)
	Least common multiple of a sequence of values.
template<Size N, Size M, class T >
Matrix< N, M, T >	operator* (const T &v, const Matrix< N, M, T > &m)
	Multiplication by scalar.
template<Size N, class T >
Vector< N, T >	operator* (const T &val, const Vector< N, T > &v)
	Vector by scalar multiplication operator.
template<Size N, Size M, class T >
Matrix< N, M, T >	operator/ (const T &v, const Matrix< N, M, T > &m)
	Division by scalar.
template<Size N, class T >
Vector< N, T >	operator/ (const T &val, const Vector< N, T > &v)
	Inverse vector by scalar division operator.

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Detailed Description

Implementations of various objects from algebra.

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Function Documentation

template<class T >

T Saf::Math::Algebra::ClockwiseAngle	(	const Vector< 2, T > &	v1,
		const Vector< 2, T > &	v2
	)

Calculates the clockwise angle between two 2D vectors.

template<class T >

Vector<3,T> Saf::Math::Algebra::CrossProduct	(	const Vector< 3, T > &	v1,
		const Vector< 3, T > &	v2
	)

Cross product of two 3D vectors.

template<class T >

T Saf::Math::Algebra::Gcd	(	T	a,
		T	b
	)

Greates common divisor.

template<class T >

T Saf::Math::Algebra::Gcd	(	T	a,
		T	b,
		T	c
	)

Greates common divisor.

template<class FwdIter >

Type::IteratorTraits<FwdIter>::ValType Saf::Math::Algebra::Gcd	(	FwdIter	begin,
		FwdIter	end
	)

Greates common divisor of a sequence of values.

template<class T >

T Saf::Math::Algebra::Lcm	(	T	a,
		T	b
	)

Least common multiple.

template<class T >

T Saf::Math::Algebra::Lcm	(	T	a,
		T	b,
		T	c
	)

Least common multiple.

template<class FwdIter >

Type::IteratorTraits<FwdIter>::ValType Saf::Math::Algebra::Lcm	(	FwdIter	begin,
		FwdIter	end
	)

Least common multiple of a sequence of values.

template<Size N, Size M, class T >

Matrix<N,M,T> Saf::Math::Algebra::operator*	(	const T &	v,
		const Matrix< N, M, T > &	m
	)

Multiplication by scalar.

template<Size N, class T >

Vector<N,T> Saf::Math::Algebra::operator*	(	const T &	val,
		const Vector< N, T > &	v
	)

Vector by scalar multiplication operator.

template<Size N, Size M, class T >

Matrix<N,M,T> Saf::Math::Algebra::operator/	(	const T &	v,
		const Matrix< N, M, T > &	m
	)

Division by scalar.

template<Size N, class T >

Vector<N,T> Saf::Math::Algebra::operator/	(	const T &	val,
		const Vector< N, T > &	v
	)

Inverse vector by scalar division operator.