Tiny Vector Matrix library using Expression Templates

Sourceforge Project Page

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Global Binary Operators
[Global Operators]

Collaboration diagram for Global Binary Operators:

Functions
template<class T, std::size_t Rows, std::size_t Cols>
std::ostream &	tvmet::operator<< (std::ostream &os, const Matrix< T, Rows, Cols > &rhs) TVMET_CXX_ALWAYS_INLINE
	Overload operator for i/o.
template<class T1, std::size_t Rows1, std::size_t Cols1, class T2, std::size_t Cols2>
XprMatrix< XprMMProduct< MatrixConstReference< T1, Rows1, Cols1 >, Rows1, Cols1, MatrixConstReference< T2, Cols1, Cols2 >, Cols2 >, Rows1, Cols2 >	tvmet::operator * (const Matrix< T1, Rows1, Cols1 > &lhs, const Matrix< T2, Cols1, Cols2 > &rhs) TVMET_CXX_ALWAYS_INLINE
	multiply two Matrices.
template<class E1, std::size_t Rows1, std::size_t Cols1, class T2, std::size_t Cols2>
XprMatrix< XprMMProduct< XprMatrix< E1, Rows1, Cols1 >, Rows1, Cols1, MatrixConstReference< T2, Cols1, Cols2 >, Cols2 >, Rows1, Cols2 >	tvmet::operator * (const XprMatrix< E1, Rows1, Cols1 > &lhs, const Matrix< T2, Cols1, Cols2 > &rhs) TVMET_CXX_ALWAYS_INLINE
	Evaluate the product of XprMatrix and Matrix.
template<class T1, std::size_t Rows1, std::size_t Cols1, class E2, std::size_t Cols2>
XprMatrix< XprMMProduct< MatrixConstReference< T1, Rows1, Cols1 >, Rows1, Cols1, XprMatrix< E2, Cols1, Cols2 >, Cols2 >, Rows1, Cols2 >	tvmet::operator * (const Matrix< T1, Rows1, Cols1 > &lhs, const XprMatrix< E2, Cols1, Cols2 > &rhs) TVMET_CXX_ALWAYS_INLINE
	Evaluate the product of Matrix and XprMatrix.
template<class T1, std::size_t Rows, std::size_t Cols, class T2>
XprVector< XprMVProduct< MatrixConstReference< T1, Rows, Cols >, Rows, Cols, VectorConstReference< T2, Cols > >, Rows >	tvmet::operator * (const Matrix< T1, Rows, Cols > &lhs, const Vector< T2, Cols > &rhs) TVMET_CXX_ALWAYS_INLINE
	multiply a Matrix with a Vector.
template<class T1, class E2, std::size_t Rows, std::size_t Cols>
XprVector< XprMVProduct< MatrixConstReference< T1, Rows, Cols >, Rows, Cols, XprVector< E2, Cols > >, Rows >	tvmet::operator * (const Matrix< T1, Rows, Cols > &lhs, const XprVector< E2, Cols > &rhs) TVMET_CXX_ALWAYS_INLINE
	Function for the matrix-vector-product.
template<class E1, class T2, std::size_t Rows, std::size_t Cols>
XprVector< XprMVProduct< XprMatrix< E1, Rows, Cols >, Rows, Cols, VectorConstReference< T2, Cols > >, Rows >	tvmet::operator * (const XprMatrix< E1, Rows, Cols > &lhs, const Vector< T2, Cols > &rhs) TVMET_CXX_ALWAYS_INLINE
	Compute the product of an XprMatrix with a Vector.
template<class E>
std::ostream &	tvmet::operator<< (std::ostream &os, const TvmetBase< E > &e)
	overloaded ostream operator using static polymorphic.
template<class T, std::size_t Sz>
std::ostream &	tvmet::operator<< (std::ostream &os, const Vector< T, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
	Overload operator for i/o.
template<class E1, std::size_t Rows1, std::size_t Cols1, class E2, std::size_t Cols2>
XprMatrix< XprMMProduct< XprMatrix< E1, Rows1, Cols1 >, Rows1, Cols1, XprMatrix< E2, Cols1, Cols2 >, Cols2 >, Rows1, Cols2 >	tvmet::operator * (const XprMatrix< E1, Rows1, Cols1 > &lhs, const XprMatrix< E2, Cols1, Cols2 > &rhs) TVMET_CXX_ALWAYS_INLINE
	Multliply operator for two XprMatrix.
template<class E1, std::size_t Rows, std::size_t Cols, class E2>
XprVector< XprMVProduct< XprMatrix< E1, Rows, Cols >, Rows, Cols, XprVector< E2, Cols > >, Rows >	tvmet::operator * (const XprMatrix< E1, Rows, Cols > &lhs, const XprVector< E2, Cols > &rhs) TVMET_CXX_ALWAYS_INLINE
	Evaluate the product of XprMatrix and XprVector.
template<class E1, class E2, std::size_t Sz>
XprVector< XprBinOp< Fcnl_add< typename E1::value_type, typename E2::value_type >, XprVector< E1, Sz >, XprVector< E2, Sz > >, Sz >	tvmet::operator+ (const XprVector< E1, Sz > &lhs, const XprVector< E2, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
	Addition operator for two XprVector.
template<class E1, class E2, std::size_t Sz>
XprVector< XprBinOp< Fcnl_sub< typename E1::value_type, typename E2::value_type >, XprVector< E1, Sz >, XprVector< E2, Sz > >, Sz >	tvmet::operator- (const XprVector< E1, Sz > &lhs, const XprVector< E2, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
	Subtraction operator for two XprVector.
template<class E1, class E2, std::size_t Sz>
XprVector< XprBinOp< Fcnl_mul< typename E1::value_type, typename E2::value_type >, XprVector< E1, Sz >, XprVector< E2, Sz > >, Sz >	tvmet::operator * (const XprVector< E1, Sz > &lhs, const XprVector< E2, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
	Multliply operator for two XprVector.
template<class E1, class E2, std::size_t Sz>
XprVector< XprBinOp< Fcnl_greater< typename E1::value_type, typename E2::value_type >, XprVector< E1, Sz >, XprVector< E2, Sz > >, Sz >	tvmet::operator> (const XprVector< E1, Sz > &lhs, const XprVector< E2, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
	Bigger operator for two XprVector.
template<class E1, class E2, std::size_t Sz>
XprVector< XprBinOp< Fcnl_less< typename E1::value_type, typename E2::value_type >, XprVector< E1, Sz >, XprVector< E2, Sz > >, Sz >	tvmet::operator< (const XprVector< E1, Sz > &lhs, const XprVector< E2, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
	Lesser operator for two XprVector.
template<class E1, class E2, std::size_t Sz>
XprVector< XprBinOp< Fcnl_greater_eq< typename E1::value_type, typename E2::value_type >, XprVector< E1, Sz >, XprVector< E2, Sz > >, Sz >	tvmet::operator>= (const XprVector< E1, Sz > &lhs, const XprVector< E2, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
	Bigger Equal operator for two XprVector.
template<class E1, class E2, std::size_t Sz>
XprVector< XprBinOp< Fcnl_less_eq< typename E1::value_type, typename E2::value_type >, XprVector< E1, Sz >, XprVector< E2, Sz > >, Sz >	tvmet::operator<= (const XprVector< E1, Sz > &lhs, const XprVector< E2, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
	Less Equal operator for two XprVector.
template<class E1, class E2, std::size_t Sz>
XprVector< XprBinOp< Fcnl_eq< typename E1::value_type, typename E2::value_type >, XprVector< E1, Sz >, XprVector< E2, Sz > >, Sz >	tvmet::operator== (const XprVector< E1, Sz > &lhs, const XprVector< E2, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
	Equal operator for two XprVector.
template<class E1, class E2, std::size_t Sz>
XprVector< XprBinOp< Fcnl_not_eq< typename E1::value_type, typename E2::value_type >, XprVector< E1, Sz >, XprVector< E2, Sz > >, Sz >	tvmet::operator!= (const XprVector< E1, Sz > &lhs, const XprVector< E2, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
	Not Equal operator for two XprVector.
template<class E1, class E2, std::size_t Sz>
XprVector< XprBinOp< Fcnl_and< typename E1::value_type, typename E2::value_type >, XprVector< E1, Sz >, XprVector< E2, Sz > >, Sz >	tvmet::operator && (const XprVector< E1, Sz > &lhs, const XprVector< E2, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
	Logical AND operator for two XprVector.
template<class E1, class E2, std::size_t Sz>
XprVector< XprBinOp< Fcnl_or< typename E1::value_type, typename E2::value_type >, XprVector< E1, Sz >, XprVector< E2, Sz > >, Sz >	tvmet::operator|| (const XprVector< E1, Sz > &lhs, const XprVector< E2, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
	Logical OR operator for two XprVector.
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_and< typename E::value_type, int >, XprVector< E, Sz >, XprLiteral< int > >, Sz >	tvmet::operator && (const XprVector< E, Sz > &lhs, int rhs) TVMET_CXX_ALWAYS_INLINE
	Logical AND operator between XprVector and int.
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_and< int, typename E::value_type >, XprLiteral< int >, XprVector< E, Sz > >, Sz >	tvmet::operator && (int lhs, const XprVector< E, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
	Logical AND operator between int and XprVector.
template<class E, std::size_t Rows, std::size_t Cols>
XprMatrix< XprBinOp< Fcnl_and< typename E::value_type, int >, XprMatrix< E, Rows, Cols >, XprLiteral< int > >, Rows, Cols >	tvmet::operator && (const XprMatrix< E, Rows, Cols > &lhs, int rhs) TVMET_CXX_ALWAYS_INLINE
	Logical AND operator between XprMatrix and int.
template<class E, std::size_t Rows, std::size_t Cols>
XprMatrix< XprBinOp< Fcnl_and< int, typename E::value_type >, XprLiteral< int >, XprMatrix< E, Rows, Cols > >, Rows, Cols >	tvmet::operator && (int lhs, const XprMatrix< E, Rows, Cols > &rhs) TVMET_CXX_ALWAYS_INLINE
	Logical AND operator between int and XprMatrix.
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_or< typename E::value_type, int >, XprVector< E, Sz >, XprLiteral< int > >, Sz >	tvmet::operator|| (const XprVector< E, Sz > &lhs, int rhs) TVMET_CXX_ALWAYS_INLINE
	Logical OR operator between XprVector and int.
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_or< int, typename E::value_type >, XprLiteral< int >, XprVector< E, Sz > >, Sz >	tvmet::operator|| (int lhs, const XprVector< E, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
	Logical OR operator between int and XprVector.
template<class E, std::size_t Rows, std::size_t Cols>
XprMatrix< XprBinOp< Fcnl_or< typename E::value_type, int >, XprMatrix< E, Rows, Cols >, XprLiteral< int > >, Rows, Cols >	tvmet::operator|| (const XprMatrix< E, Rows, Cols > &lhs, int rhs) TVMET_CXX_ALWAYS_INLINE
	Logical OR operator between XprMatrix and int.
template<class E, std::size_t Rows, std::size_t Cols>
XprMatrix< XprBinOp< Fcnl_or< int, typename E::value_type >, XprLiteral< int >, XprMatrix< E, Rows, Cols > >, Rows, Cols >	tvmet::operator|| (int lhs, const XprMatrix< E, Rows, Cols > &rhs) TVMET_CXX_ALWAYS_INLINE
	Logical OR operator between int and XprMatrix.

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Function Documentation

template<class E, std::size_t Rows, std::size_t Cols>

tvmet::operator &&	(	int	lhs,
		const XprMatrix< E, Rows, Cols > &	rhs
	)			[inline]

Logical AND operator between int and XprMatrix.

template<class E, std::size_t Rows, std::size_t Cols>

tvmet::operator &&	(	const XprMatrix< E, Rows, Cols > &	lhs,
		int	rhs
	)			[inline]

Logical AND operator between XprMatrix and int.

template<class E, std::size_t Sz>

tvmet::operator &&	(	int	lhs,
		const XprVector< E, Sz > &	rhs
	)			[inline]

Logical AND operator between int and XprVector.

template<class E, std::size_t Sz>

tvmet::operator &&	(	const XprVector< E, Sz > &	lhs,
		int	rhs
	)			[inline]

Logical AND operator between XprVector and int.

template<class E1, class E2, std::size_t Sz>

tvmet::operator &&	(	const XprVector< E1, Sz > &	lhs,
		const XprVector< E2, Sz > &	rhs
	)			[inline]

Logical AND operator for two XprVector.

template<class E1, class E2, std::size_t Sz>

tvmet::operator *	(	const XprVector< E1, Sz > &	lhs,
		const XprVector< E2, Sz > &	rhs
	)			[inline]

Multliply operator for two XprVector.

template<class E1, std::size_t Rows, std::size_t Cols, class E2>

XprVector< XprMVProduct< XprMatrix< E1, Rows, Cols >, Rows, Cols, XprVector< E2, Cols > >, Rows > tvmet::operator *	(	const XprMatrix< E1, Rows, Cols > &	lhs,
		const XprVector< E2, Cols > &	rhs
	)			[inline]

Evaluate the product of XprMatrix and XprVector.

See also:

prod(XprMatrix<E1, Rows, Cols> lhs, XprVector<E2, Cols> rhs)

template<class E1, std::size_t Rows1, std::size_t Cols1, class E2, std::size_t Cols2>

tvmet::operator *	(	const XprMatrix< E1, Rows1, Cols1 > &	lhs,
		const XprMatrix< E2, Cols1, Cols2 > &	rhs
	)			[inline]

Multliply operator for two XprMatrix.

See also:

prod(XprMatrix<E1, Rows1, Cols1> lhs, XprMatrix<E2, Cols1, Cols2> rhs)

template<class E1, class T2, std::size_t Rows, std::size_t Cols>

XprVector< XprMVProduct< XprMatrix< E1, Rows, Cols >, Rows, Cols, VectorConstReference< T2, Cols > >, Rows > tvmet::operator *	(	const XprMatrix< E1, Rows, Cols > &	lhs,
		const Vector< T2, Cols > &	rhs
	)			[inline]

Compute the product of an XprMatrix with a Vector.

See also:

prod(const XprMatrix<E, Rows, Cols>& lhs, const Vector<T, Cols>& rhs)

template<class T1, class E2, std::size_t Rows, std::size_t Cols>

XprVector< XprMVProduct< MatrixConstReference< T1, Rows, Cols >, Rows, Cols, XprVector< E2, Cols > >, Rows > tvmet::operator *	(	const Matrix< T1, Rows, Cols > &	lhs,
		const XprVector< E2, Cols > &	rhs
	)			[inline]

Function for the matrix-vector-product.

See also:

prod(const Matrix<T, Rows, Cols>& lhs, const XprVector<E, Cols>& rhs)

template<class T1, std::size_t Rows, std::size_t Cols, class T2>

XprVector< XprMVProduct< MatrixConstReference< T1, Rows, Cols >, Rows, Cols, VectorConstReference< T2, Cols > >, Rows > tvmet::operator *	(	const Matrix< T1, Rows, Cols > &	lhs,
		const Vector< T2, Cols > &	rhs
	)			[inline]

multiply a Matrix with a Vector.

Note:

The length of the Vector has to be equal to the number of Columns.

See also:

prod(const Matrix<T1, Rows, Cols>& m, const Vector<T2, Cols>& v)

template<class T1, std::size_t Rows1, std::size_t Cols1, class E2, std::size_t Cols2>

XprMatrix< XprMMProduct< MatrixConstReference< T1, Rows1, Cols1 >, Rows1, Cols1, XprMatrix< E2, Cols1, Cols2 >, Cols2 >, Rows1, Cols2 > tvmet::operator *	(	const Matrix< T1, Rows1, Cols1 > &	lhs,
		const XprMatrix< E2, Cols1, Cols2 > &	rhs
	)			[inline]

Evaluate the product of Matrix and XprMatrix.

See also:

prod(const Matrix<T, Rows1, Cols1>& lhs, const XprMatrix<E, Cols1, Cols2>& rhs)

template<class E1, std::size_t Rows1, std::size_t Cols1, class T2, std::size_t Cols2>

XprMatrix< XprMMProduct< XprMatrix< E1, Rows1, Cols1 >, Rows1, Cols1, MatrixConstReference< T2, Cols1, Cols2 >, Cols2 >, Rows1, Cols2 > tvmet::operator *	(	const XprMatrix< E1, Rows1, Cols1 > &	lhs,
		const Matrix< T2, Cols1, Cols2 > &	rhs
	)			[inline]

Evaluate the product of XprMatrix and Matrix.

See also:

prod(const XprMatrix<E1, Rows1, Cols1>& lhs, const Matrix<T2, Cols1, Cols2>& rhs)

template<class T1, std::size_t Rows1, std::size_t Cols1, class T2, std::size_t Cols2>

XprMatrix< XprMMProduct< MatrixConstReference< T1, Rows1, Cols1 >, Rows1, Cols1, MatrixConstReference< T2, Cols1, Cols2 >, Cols2 >, Rows1, Cols2 > tvmet::operator *	(	const Matrix< T1, Rows1, Cols1 > &	lhs,
		const Matrix< T2, Cols1, Cols2 > &	rhs
	)			[inline]

multiply two Matrices.

Note:

The rows2 has to be equal to cols1.

See also:

prod(const Matrix<T1, Rows1, Cols1>& lhs, const Matrix<T2, Cols1, Cols2>& rhs)

template<class E1, class E2, std::size_t Sz>

tvmet::operator!=	(	const XprVector< E1, Sz > &	lhs,
		const XprVector< E2, Sz > &	rhs
	)			[inline]

Not Equal operator for two XprVector.

template<class E1, class E2, std::size_t Sz>

tvmet::operator+	(	const XprVector< E1, Sz > &	lhs,
		const XprVector< E2, Sz > &	rhs
	)			[inline]

Addition operator for two XprVector.

template<class E1, class E2, std::size_t Sz>

tvmet::operator-	(	const XprVector< E1, Sz > &	lhs,
		const XprVector< E2, Sz > &	rhs
	)			[inline]

Subtraction operator for two XprVector.

template<class E1, class E2, std::size_t Sz>

tvmet::operator<	(	const XprVector< E1, Sz > &	lhs,
		const XprVector< E2, Sz > &	rhs
	)			[inline]

Lesser operator for two XprVector.

template<class T, std::size_t Sz>

std::ostream & tvmet::operator<<	(	std::ostream &	os,
		const Vector< T, Sz > &	rhs
	)			[inline]

Overload operator for i/o.

template<class E>

tvmet::operator<<	(	std::ostream &	os,
		const TvmetBase< E > &	e
	)			[inline]

overloaded ostream operator using static polymorphic.

template<class T, std::size_t Rows, std::size_t Cols>

std::ostream & tvmet::operator<<	(	std::ostream &	os,
		const Matrix< T, Rows, Cols > &	rhs
	)			[inline]

Overload operator for i/o.

template<class E1, class E2, std::size_t Sz>

tvmet::operator<=	(	const XprVector< E1, Sz > &	lhs,
		const XprVector< E2, Sz > &	rhs
	)			[inline]

Less Equal operator for two XprVector.

template<class E1, class E2, std::size_t Sz>

tvmet::operator==	(	const XprVector< E1, Sz > &	lhs,
		const XprVector< E2, Sz > &	rhs
	)			[inline]

Equal operator for two XprVector.

template<class E1, class E2, std::size_t Sz>

tvmet::operator>	(	const XprVector< E1, Sz > &	lhs,
		const XprVector< E2, Sz > &	rhs
	)			[inline]

Bigger operator for two XprVector.

template<class E1, class E2, std::size_t Sz>

tvmet::operator>=	(	const XprVector< E1, Sz > &	lhs,
		const XprVector< E2, Sz > &	rhs
	)			[inline]

Bigger Equal operator for two XprVector.

template<class E, std::size_t Rows, std::size_t Cols>

tvmet::operator||	(	int	lhs,
		const XprMatrix< E, Rows, Cols > &	rhs
	)			[inline]

Logical OR operator between int and XprMatrix.

template<class E, std::size_t Rows, std::size_t Cols>

tvmet::operator||	(	const XprMatrix< E, Rows, Cols > &	lhs,
		int	rhs
	)			[inline]

Logical OR operator between XprMatrix and int.

template<class E, std::size_t Sz>

tvmet::operator||	(	int	lhs,
		const XprVector< E, Sz > &	rhs
	)			[inline]

Logical OR operator between int and XprVector.

template<class E, std::size_t Sz>

tvmet::operator||	(	const XprVector< E, Sz > &	lhs,
		int	rhs
	)			[inline]

Logical OR operator between XprVector and int.

template<class E1, class E2, std::size_t Sz>

tvmet::operator||	(	const XprVector< E1, Sz > &	lhs,
		const XprVector< E2, Sz > &	rhs
	)			[inline]

Logical OR operator for two XprVector.

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Author: