Vec3Oper.h File Reference

Global algebraic operators involving Vec3 objects. More...

#include "matrix.h"

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Functions
Vec3	operator* (const utl::matrix< Real > &A, const std::vector< Real > &x)
	Multiplication of a matrix and a vector. More...
Vec3	operator* (const utl::matrix< Real > &A, const Vec3 &x)
	Multiplication of a matrix and a vector.
Vec3	operator* (const std::vector< Real > &x, const utl::matrix< Real > &A)
	Multiplication of a vector and a matrix. More...
Vec3	operator* (const Vec3 &x, const utl::matrix< Real > &A)
	Multiplication of a vector and a matrix.
Vec3	operator* (const Vec3 &a, Real value)
	Multiplication of a vector and a scalar.
Vec3	operator* (Real value, const Vec3 &a)
	Multiplication of a scalar and a vector.
Vec3	operator/ (const Vec3 &a, Real value)
	Division of a vector by a scalar,.
Real	operator* (const Vec3 &a, const Vec3 &b)
	Dot product between two vectors.
Vec3	operator+ (const Vec3 &a, const Vec3 &b)
	Summation of two vectors.
Vec3	operator- (const Vec3 &a, const Vec3 &b)
	Subtraction of two vectors.
Vec3	operator+ (const Vec3 &a, Real value)
	Summation of vector and a scalar.
Vec3	operator- (const Vec3 &a, Real value)
	Subtraction of a vector and a scalar.
bool	operator== (const Vec3 &a, const Vec3 &b)
	Equality operator.
bool	operator!= (const Vec3 &a, const Vec3 &b)
	Unequality operator.
bool	operator< (const Vec3 &a, const Vec3 &b)
	Less-than operator.
std::ostream &	operator<< (std::ostream &os, const Vec3 &a)
	Output stream operator.
std::istream &	operator>> (std::istream &is, Vec3 &a)
	Input stream operator.

Detailed Description

Global algebraic operators involving Vec3 objects.

Date

Oct 1 2007

Author

Knut Morten Okstad / SINTEF

Function Documentation

operator*() [1/2]

Vec3 operator*	(	const std::vector< Real > &	x,
		const utl::matrix< Real > &	A
	)

Multiplication of a vector and a matrix.

Multiplication of a vector and a matrix.

Returns

\( {\bf y} = {\bf A}^T {\bf x} \)

Special version for computation of 3D point vectors. The number of columns in A must be (at least) 3. Extra columns (if any) in A are ignored.

References utl::matrix< T >::cols(), and utl::matrix< T >::multiply().

operator*() [2/2]

Vec3 operator*	(	const utl::matrix< Real > &	A,
		const std::vector< Real > &	x
	)

Multiplication of a matrix and a vector.

Returns

\( {\bf y} = {\bf A} {\bf x} \)

Special version for computation of 3D point vectors. The number of rows in A must be (at least) 3. Extra rows (if any) in A are ignored.

References utl::matrix< T >::multiply(), and utl::matrix< T >::rows().