A 3D vector. More...

#include <v3d.h>

Public Member Functions
	V3D (void)
	Vector constructor.
	V3D (double x, double y, double z)
	Vector constructor.
double &	operator[] (unsigned int i)
	Vector element accessor.
double &	operator() (unsigned int i)
	Vector element accessor.
double &	operator[] (V3DVectorIndex i)
V3D	operator+ (const V3D &inV) const
	Sum of two vectors or of a vector and a point.
V3D	operator+= (const V3D &inV)
	Sum of two vectors or of a vector and a point.
V3D	operator- () const
	the opposite vector.
V3D	operator- (const V3D &inV) const
	Substraction of two vectors or of a vector and a point.
V3D	operator-= (const V3D &inV)
	Substraction of two vectors or of a vector and a point.
V3D	operator/ (const double d) const
	Divide the vector by an double.
V3D	operator/= (const double d)
	Divide the vector by an double.
V3D	operator* (const double d) const
	Multiply the vector by a double.
V3D	operator*= (const double d)
	Multiply the vector by a double.
double	operator* (const V3D &inV) const
	dot product
V3D	operator^ (const V3D &inV) const
	Vector product.
bool	operator== (const V3D &inV) const
	Vector comparison.
double	norm () const
	Compute euclidian norm of a V3D.
V3D &	normalize ()
	Normalize a V3D.

Public Attributes
double	v [4]
	Homogeneous coordinates.

Friends
std::ostream &	operator<< (std::ostream &os, const V3D &v3d)
	Output a ASCII V3D description to a stream.

Detailed Description

A 3D vector.

This structure manipulates vectors represented by homogeneous coordinates.

Constructor & Destructor Documentation

◆ V3D() [1/2]

V3D ( void )

inline

Vector constructor.

Initialize a vector to all 0.

◆ V3D() [2/2]

V3D	(	double	x,
		double	y,
		double	z )

inline

Vector constructor.

Initialize a vector to x,y and z.

Parameters

[in]	x	X coordinate.
[in]	y	Y coordinate.
[in]	z	Z coordinate.

Member Function Documentation

◆ norm()

double norm ( ) const

inline

Compute euclidian norm of a V3D.

Parameters

[in] v3d Input vector

Returns: the euclidian norm of the vector.

◆ normalize()

V3D & normalize ( )

inline

Normalize a V3D.

Parameters

[in,out] v3d Input vector.

Returns: the normalized vector.

◆ operator()()

double & operator() ( unsigned int i )

inline

Vector element accessor.

Parameters

(in)	i Element number.

Returns: A reference on the element value.

◆ operator*() [1/2]

V3D operator* ( const double d ) const

inline

Multiply the vector by a double.

Parameters

[in] d double to multiply

Returns: the result of the multiplication.

◆ operator*() [2/2]

double operator* ( const V3D & inV ) const

inline

dot product

Parameters

[in] inV Vector to multiply

Returns: the result of the dot product.

◆ operator*=()

V3D operator*= ( const double d )

inline

Multiply the vector by a double.

Parameters

[in] d double to multiply

Returns: the result of the multiplication.

◆ operator+()

V3D operator+ ( const V3D & inV ) const

inline

Sum of two vectors or of a vector and a point.

Parameters

[in] inV Vector to sum.

Returns: the result of the addition.

◆ operator+=()

V3D operator+= ( const V3D & inV )

inline

Sum of two vectors or of a vector and a point.

Parameters

[in] inV Vector to sum.

Returns: the result of the addition.

◆ operator-() [1/2]

V3D operator- ( ) const

inline

the opposite vector.

Returns: the opposite vector.

◆ operator-() [2/2]

V3D operator- ( const V3D & inV ) const

inline

Substraction of two vectors or of a vector and a point.

Parameters

[in] inV Vector to substract.

Returns: the result of the substraction.

◆ operator-=()

V3D operator-= ( const V3D & inV )

inline

Substraction of two vectors or of a vector and a point.

Parameters

[in] inV Vector to substract.

Returns: the result of the substraction.

◆ operator/()

V3D operator/ ( const double d ) const

inline

Divide the vector by an double.

Parameters

[in] d double to divide

Returns: the result of the division.

◆ operator/=()

V3D operator/= ( const double d )

inline

Divide the vector by an double.

Parameters

[in] d double to divide

Returns: the result of the division.

◆ operator==()

bool operator== ( const V3D & inV ) const

inline

Vector comparison.

Parameters

[in] inV Vector to compare

Returns: the result of the comparison.

◆ operator[]() [1/2]

double & operator[] ( unsigned int i )

inline

Vector element accessor.

Parameters

[in] i Element number.

Returns: A reference on the element value.

◆ operator[]() [2/2]

double & operator[] ( V3DVectorIndex i )

inline

◆ operator^()

V3D operator^ ( const V3D & inV ) const

inline

Vector product.

Parameters

[in] inV Vector to multiply

Returns: the result of the cross product.

◆ operator<<

std::ostream & operator<<	(	std::ostream &	os,
		const V3D &	v3d )

friend

Output a ASCII V3D description to a stream.

Parameters

[in]	s	Stream to dump on.
[in]	v3d	V3D to dump.

Returns: reference on the output stream.

Public Member Functions

Public Attributes

Friends

Detailed Description

Constructor & Destructor Documentation

◆ V3D() [1/2]

◆ V3D() [2/2]

Member Function Documentation

◆ norm()

◆ normalize()

◆ operator()()

◆ operator*() [1/2]

◆ operator*() [2/2]

◆ operator*=()

◆ operator+()

◆ operator+=()

◆ operator-() [1/2]

◆ operator-() [2/2]

◆ operator-=()

◆ operator/()

◆ operator/=()

◆ operator==()

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ operator^()

Friends And Related Symbol Documentation

◆ operator<<