Three dimensional vector. More...

#include <vec3d.hpp>

Public Member Functions
	Vec3D (double x)

	Vec3D (double x, double y)

	Vec3D (double x, double y, double z)

	Vec3D (const class Vec4D &vec)

	Vec3D (std::istream &s)

double &	operator[] (int i)

const double &	operator[] (int i) const

double &	operator() (int i)

const double &	operator() (int i) const

Vec3D	operator+ (const Vec3D &vec) const
	Vector addition More...

Vec3D	operator- (const Vec3D &vec) const
	Vector difference More...

Vec3D &	operator+= (const Vec3D &vec)
	Vector accumulation More...

double	operator* (const Vec3D &vec) const
	Dot product. More...

Vec3D	operator* (double x) const
	Vector scaling. More...

Vec3D	operator- (void) const
	Unary minus. More...

Vec3D &	operator*= (double x)
	Vector scaling. More...

Vec3D &	operator/= (double x)
	Vector scaling with divisor. More...

bool	operator!= (const Vec3D &x) const
	Inequality test. More...

bool	operator== (const Vec3D &x) const
	Equality test. More...

bool	approx (const Vec3D &x, double eps=1.0e-6) const
	Approximate equality test. More...

Vec3D &	operator= (const Vec3D &x)
	Assignment. More...

Vec3D &	operator= (const double &x)
	Assignment of every coordinate. More...

void	abs (void)
	Calculate absolute value of each component. More...

void	normalize (void)
	Normalize vector. More...

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

double	max (void) const
	Returns inf-norm of vector. More...

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

int	min_element (void) const
	Returns the index of element with minimum magnitude (abs). More...

Vec3D	arb_perpendicular (void) const
	Returns arbitrary vector perpendicular to input vector. More...

void	save (std::ostream &os) const
	Saves data to stream os. More...

Static Public Member Functions
static Vec3D	standard_basis (int i)
	Returns standard basis vector i. More...

Friends
Vec3D	cross (const Vec3D &vec1, const Vec3D &vec2)
	Cross product. More...

double	norm2 (const Vec3D &vec)
	Second norm of vector. More...

double	ssqr (const Vec3D &vec)
	Sum of squares or square of 2-norm of vector. More...

Vec3D	operator* (double x, const Vec3D &vec)
	Vector scaling. More...

Vec3D	operator* (double x, const class Int3D &i)
	Vector scaling for integer vector. More...

std::ostream &	operator<< (std::ostream &os, const Vec3D &vec)
	Outputting to stream. More...

Detailed Description

Three dimensional vector.

Member Function Documentation

void Vec3D::abs ( void )

inline

Calculate absolute value of each component.

bool Vec3D::approx	(	const Vec3D &	x,
		double	eps = `1.0e-6`
	)		const

Approximate equality test.

Does not require exact equality, but absolute or relative error less than eps (which ever is less strict). Be careful using this function!

Vec3D Vec3D::arb_perpendicular ( void ) const

Returns arbitrary vector perpendicular to input vector.

double Vec3D::max ( void ) const

Returns inf-norm of vector.

Returns maximum component of vector.

int Vec3D::min_element ( void ) const

Returns the index of element with minimum magnitude (abs).

double Vec3D::norm2 ( void ) const

inline

Returns 2-norm of vector.

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

void Vec3D::normalize ( void )

inline

Normalize vector.

bool Vec3D::operator!= ( const Vec3D & x ) const

Inequality test.

Require exact equality.

double Vec3D::operator* ( const Vec3D & vec ) const

inline

Dot product.

Vec3D Vec3D::operator* ( double x ) const

inline

Vector scaling.

Vec3D& Vec3D::operator*= ( double x )

inline

Vector scaling.

Vec3D Vec3D::operator+ ( const Vec3D & vec ) const

inline

Vector addition

Vec3D& Vec3D::operator+= ( const Vec3D & vec )

inline

Vector accumulation

Vec3D Vec3D::operator- ( const Vec3D & vec ) const

inline

Vector difference

Vec3D Vec3D::operator- ( void ) const

inline

Unary minus.

Vec3D& Vec3D::operator/= ( double x )

inline

Vector scaling with divisor.

Vec3D& Vec3D::operator= ( const Vec3D & x )

inline

Assignment.

Vec3D& Vec3D::operator= ( const double & x )

inline

Assignment of every coordinate.

bool Vec3D::operator== ( const Vec3D & x ) const

Equality test.

Requires exact equality.

void Vec3D::save ( std::ostream & os ) const

inline

Saves data to stream os.

double Vec3D::ssqr ( void ) const

inline

Returns square of 2-norm of vector.

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

Vec3D Vec3D::standard_basis ( int i )

static

Returns standard basis vector i.

Friends And Related Function Documentation

Vec3D cross	(	const Vec3D &	vec1,
		const Vec3D &	vec2
	)

friend

Cross product.

double norm2 ( const Vec3D & vec )

friend

Second norm of vector.

Vec3D operator*	(	double	x,
		const Vec3D &	vec
	)

friend

Vector scaling.

Vec3D operator*	(	double	x,
		const class Int3D &	i
	)

friend

Vector scaling for integer vector.

std::ostream& operator<<	(	std::ostream &	os,
		const Vec3D &	vec
	)

friend

Outputting to stream.

double ssqr ( const Vec3D & vec )

friend

Sum of squares or square of 2-norm of vector.

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

Navigation

Public Member Functions

Static Public Member Functions

Friends

Detailed Description

Member Function Documentation

Friends And Related Function Documentation