Homogenous vector for three dimensional space. More...

#include <vec4d.hpp>

Public Member Functions
	Vec4D (double x)

	Vec4D (double x, double y)

	Vec4D (double x, double y, double z)

	Vec4D (double x, double y, double z, double w)

	Vec4D (const class Vec3D &vec)
	Convert 3D vector to 4D vector. More...

	Vec4D (std::istream &s)

double &	operator[] (int i)

const double &	operator[] (int i) const

double &	operator() (int i)

const double &	operator() (int i) const

Vec4D	operator+ (const Vec4D &vec) const
	Addition. More...

Vec4D	operator- (const Vec4D &vec) const
	Difference. More...

Vec4D &	operator+= (const Vec4D &vec)
	Accumulation. More...

double	operator* (const Vec4D &vec) const
	Dot product. More...

Vec4D	operator* (double x) const
	Vector scaling. More...

Vec4D &	operator*= (double x)
	Vector scaling. More...

Vec4D &	operator/= (double x)
	Vector scaling with divisor. More...

bool	operator!= (const Vec4D &x)
	Inequality test. More...

bool	operator== (const Vec4D &x)
	Equality test. More...

Vec4D &	operator= (const Vec4D &x)
	Assignment. More...

void	homogenize ()
	Homogenize vector. More...

void	normalize ()
	Normalize vector. More...

double	norm2 () const
	Returns 2-norm of vector. More...

double	ssqr () const
	Returns square of 2-norm of vector. More...

void	save (std::ostream &s) const

Friends
Vec4D	cross (const Vec4D &vec1, const Vec4D &vec2)
	Cross product. More...

double	norm2 (const Vec4D &vec)
	Second norm of vector. More...

Vec4D	operator* (double x, const Vec4D &vec)
	Vector scaling. More...

std::ostream &	operator<< (std::ostream &os, const Vec4D &vec)
	Outputting to stream. More...

Detailed Description

Homogenous vector for three dimensional space.

Homogenous space has 4-vectors (x,y,z,w).

Most operations assume the arguments are either vectors (w=0) or points (w=1). These are only checked where the algorithm is dependent on this information. Otherwise the fourth coordinate (w) is assumed what the algorithm is designed for. User is responsible for calling legal operations for corrent type of vectors.

Constructor & Destructor Documentation

◆ Vec4D()

Vec4D::Vec4D ( const class Vec3D & vec )

Convert 3D vector to 4D vector.

Makes 3D vector a point.

Member Function Documentation

◆ homogenize()

void Vec4D::homogenize ( )

inline

Homogenize vector.

Homogenize vector by dividing all components of vector with w. Not valid for w=0.

◆ norm2()

double Vec4D::norm2 ( void ) const

inline

Returns 2-norm of vector.

$||x||_2 = \sqrt{ \Sigma_{i=1}^3 x_i^2 }$

◆ normalize()

void Vec4D::normalize ( void )

inline

Normalize vector.

Only valid for vector. Output is guaranteed to be a vector.

◆ operator!=()

bool Vec4D::operator!= ( const Vec4D & x )

inline

Inequality test.

Also tests w.

◆ operator*() [1/2]

double Vec4D::operator* ( const Vec4D & vec ) const

inline

Dot product.

Valid for vectors only.

◆ operator*() [2/2]

Vec4D Vec4D::operator* ( double x ) const

inline

Vector scaling.

Valid for points and vectors. Scaling does not affect w.

◆ operator*=()

Vec4D& Vec4D::operator*= ( double x )

inline

Vector scaling.

Valid for points and vectors. Scaling does not affect w.

◆ operator+()

Vec4D Vec4D::operator+ ( const Vec4D & vec ) const

inline

Addition.

Only valid for point+vector=point or vector+vector=vector. Output is of the correct type.

◆ operator+=()

Vec4D& Vec4D::operator+= ( const Vec4D & vec )

inline

Accumulation.

Only valid for point += vector or vector += vector. Output type does not change.

◆ operator-()

Vec4D Vec4D::operator- ( const Vec4D & vec ) const

inline

Difference.

Only valid for vector-vector=vector, point-vector=point or point-point=vector. Output is of the correct type.

◆ operator/=()

Vec4D& Vec4D::operator/= ( double x )

inline

Vector scaling with divisor.

Valid for points and vectors. Scaling does not affect w.

◆ operator=()

Vec4D& Vec4D::operator= ( const Vec4D & x )

inline

Assignment.

◆ operator==()

bool Vec4D::operator== ( const Vec4D & x )

inline

Equality test.

Also tests w.

◆ ssqr()

double Vec4D::ssqr ( void ) const

inline

Returns square of 2-norm of vector.

$(||x||_2)^2 = \Sigma_{i=1}^3 x_i^2$

Friends And Related Function Documentation

◆ cross

Vec4D cross	(	const Vec4D &	vec1,
		const Vec4D &	vec2
	)

friend

Cross product.

Only valid for vectors. Output is guaranteed to be a vector.

◆ norm2

double norm2 ( const Vec4D & vec )

friend

Second norm of vector.

◆ operator*

Vec4D operator*	(	double	x,
		const Vec4D &	vec
	)

friend

Vector scaling.

Does not affect w.

◆ operator<<

std::ostream& operator<<	(	std::ostream &	os,
		const Vec4D &	vec
	)

friend

Outputting to stream.

The documentation for this class was generated from the following files:

Navigation

Public Member Functions

Friends

Detailed Description

Constructor & Destructor Documentation

◆ Vec4D()

Member Function Documentation

◆ homogenize()

◆ norm2()

◆ normalize()

◆ operator!=()

◆ operator*() [1/2]

◆ operator*() [2/2]

◆ operator*=()

◆ operator+()

◆ operator+=()

◆ operator-()

◆ operator/=()

◆ operator=()

◆ operator==()

◆ ssqr()

Friends And Related Function Documentation

◆ cross

◆ norm2

◆ operator*

◆ operator<<