Vec3D Class Reference

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...
std::basic_ostream< wchar_t > &	operator<< (std::basic_ostream< wchar_t > &os, const Vec3D &vec)

Detailed Description

Three dimensional vector.

Member Function Documentation

abs()

void Vec3D::abs ( void  )

inline

Calculate absolute value of each component.

approx()

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!

arb_perpendicular()

Vec3D Vec3D::arb_perpendicular

(

void

)

const

Returns arbitrary vector perpendicular to input vector.

max()

double Vec3D::max

(

void

)

const

Returns inf-norm of vector.

Returns maximum component of vector.

min_element()

int Vec3D::min_element

(

void

)

const

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

norm2()

double Vec3D::norm2 ( void  ) const

inline

Returns 2-norm of vector.

normalize()

void Vec3D::normalize ( void  )

inline

Normalize vector.

operator!=()

bool Vec3D::operator!=

(

const Vec3D &

x

)

const

Inequality test.

Require exact equality.

operator*() [1/2]

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

inline

Dot product.

operator*() [2/2]

Vec3D Vec3D::operator* ( double  x ) const

inline

Vector scaling.

operator*=()

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

inline

Vector scaling.

operator+()

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

inline

Vector addition

operator+=()

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

inline

Vector accumulation

operator-() [1/2]

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

inline

Vector difference

operator-() [2/2]

Vec3D Vec3D::operator- ( void  ) const

inline

Unary minus.

operator/=()

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

inline

Vector scaling with divisor.

operator=() [1/2]

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

inline

Assignment of every coordinate.

operator=() [2/2]

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

inline

Assignment.

operator==()

bool Vec3D::operator==

(

const Vec3D &

x

)

const

Equality test.

Requires exact equality.

save()

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

inline

Saves data to stream os.

ssqr()

double Vec3D::ssqr ( void  ) const

inline

Returns square of 2-norm of vector.

standard_basis()

Vec3D Vec3D::standard_basis ( int  i )

static

Returns standard basis vector i.

Friends And Related Function Documentation

cross

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

friend

Cross product.

norm2

double norm2 ( const Vec3D &  vec )

friend

Second norm of vector.

operator* [1/2]

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

friend

Vector scaling for integer vector.

operator* [2/2]

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

friend

Vector scaling.

operator<<

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

friend

Outputting to stream.

ssqr

double ssqr ( const Vec3D &  vec )

friend

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

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

• vec3d.hpp
• vec3d.cpp