BasicVector3D< T > Class Template Reference

Three-dimensional vector template, for use with integer, double, or complex components. More...

Public Member Functions
	BasicVector3D ()
	Constructs the null vector.
	BasicVector3D (const T x1, const T y1, const T z1)
	Constructs a vector from cartesian components.
double	angle (const BasicVector3D< T > &v) const
	Returns dot product of vectors (antilinear in the first [=self] argument). More...
BasicVector3D< complex_t >	complex () const
	Returns this, trivially converted to complex type.
BasicVector3D< T >	conj () const
	Multiplies this with a scalar, and returns result. More...
double	cosTheta () const
	Returns cosine of polar angle.
double	mag () const
	Returns magnitude of the vector.
double	mag2 () const
	Returns magnitude squared of the vector.
double	magxy () const
	Returns distance from z axis.
double	magxy2 () const
	Returns squared distance from z axis.
BasicVector3D< T > &	operator+= (const BasicVector3D< T > &v)
	Adds other vector to this, and returns result.
BasicVector3D< T > &	operator-= (const BasicVector3D< T > &v)
	Subtracts other vector from this, and returns result.
T &	operator[] (int i)
	Sets components by index.
T	operator[] (int i) const
	Returns components by index.
double	phi () const
	Returns azimuth angle.
BasicVector3D< T >	project (const BasicVector3D< T > &v) const
	Returns projection of this onto other vector: (this*v)*v/|v|^2.
BasicVector3D< double >	real () const
	Returns real parts.
BasicVector3D< T >	rotated (double a, const BasicVector3D< T > &v) const
	Returns result of rotation around the axis specified by another vector.
BasicVector3D< T >	rotatedX (double a) const
	Returns result of rotation around x-axis.
BasicVector3D< T >	rotatedY (double a) const
	Returns result of rotation around y-axis.
BasicVector3D< T >	rotatedZ (double a) const
	Returns result of rotation around z-axis.
void	setX (const T &a)
	Sets x-component in cartesian coordinate system.
void	setY (const T &a)
	Sets y-component in cartesian coordinate system.
void	setZ (const T &a)
	Sets z-component in cartesian coordinate system.
double	sin2Theta () const
	Returns squared sine of polar angle.
double	theta () const
	Returns polar angle.
BasicVector3D< T >	unit () const
	Returns unit vector in direction of this. Throws for null vector.
T	x () const
	Returns x-component in cartesian coordinate system.
T	y () const
	Returns y-component in cartesian coordinate system.
T	z () const
	Returns z-component in cartesian coordinate system.

Related Functions
(Note that these are not member functions.)
template<class T >
bool	operator!= (const BasicVector3D< T > &a, const BasicVector3D< T > &b)
	Comparison of two vectors for inequality.
template<class T >
BasicVector3D< T >	operator+ (const BasicVector3D< T > &a, const BasicVector3D< T > &b)
	Addition of two vectors.
template<class T >
BasicVector3D< T >	operator+ (const BasicVector3D< T > &v)
	Unary plus.
template<class T >
BasicVector3D< T >	operator- (const BasicVector3D< T > &a, const BasicVector3D< T > &b)
	Subtraction of two vectors.
template<class T >
BasicVector3D< T >	operator- (const BasicVector3D< T > &v)
	Unary minus.
template<class T , class U >
BasicVector3D< T >	operator/ (const BasicVector3D< T > &v, U a)
	Multiplication vector by scalar. More...
template<class T >
std::ostream &	operator<< (std::ostream &os, const BasicVector3D< T > &a)
	Output to stream.
template<class T >
bool	operator== (const BasicVector3D< T > &a, const BasicVector3D< T > &b)
	Comparison of two vectors for equality.

Detailed Description

template<class T>
class BasicVector3D< T >

Three-dimensional vector template, for use with integer, double, or complex components.

Member Function Documentation

angle()

template<class T >

double BasicVector3D< T >::angle

(

const BasicVector3D< T > &

v

)

const

Returns dot product of vectors (antilinear in the first [=self] argument).

Returns cross product of vectors (linear in both arguments). Returns angle with respect to another vector.

conj()

template<class T >

BasicVector3D<T> BasicVector3D< T >::conj

(

)

const

Multiplies this with a scalar, and returns result.

Divides this by a scalar, and returns result. Returns complex conjugate vector

Friends And Related Function Documentation

operator/()

template<class T , class U >

BasicVector3D< T > operator/ ( const BasicVector3D< T > &  v, U  a  )

related

Multiplication vector by scalar.

Multiplication scalar by vector. Division vector by scalar.