VECTOR2< T > Class Template Reference

Class VECTOR2 defines a general 2D-vector/point. More...

#include <vector2d.h>

Public Types
typedef VECTOR2_TRAITS< T >::extended_type	extended_type
typedef T	coord_type

Public Member Functions
	VECTOR2 ()
	Construct a 2D-vector with x, y = 0.
	VECTOR2 (T x, T y)
	Construct a vector with given components x, y.
template<typename CastingType >
	VECTOR2 (const VECTOR2< CastingType > &aVec)
	Initializes a vector from another specialization. More...
template<typename CastedType >
VECTOR2< CastedType >	operator() () const
	Casts a vector to another specialized subclass. More...
T	EuclideanNorm () const
	Destructor. More...
extended_type	SquaredEuclideanNorm () const
	Function Squared Euclidean Norm computes the squared euclidean norm of the vector, which is defined as (x ** 2 + y ** 2). More...
VECTOR2< T >	Perpendicular () const
	Function Perpendicular computes the perpendicular vector. More...
VECTOR2< T >	Resize (T aNewLength) const
	Function Resize returns a vector of the same direction, but length specified in aNewLength. More...
double	Angle () const
	Function Angle computes the angle of the vector. More...
VECTOR2< T >	Rotate (double aAngle) const
	Function Rotate rotates the vector by a given angle. More...
const std::string	Format () const
	Function Format returns the vector formatted as a string. More...
extended_type	Cross (const VECTOR2< T > &aVector) const
	Function Cross() computes cross product of self with aVector.
extended_type	Dot (const VECTOR2< T > &aVector) const
	Function Dot() computes dot product of self with aVector.
VECTOR2< T > &	operator= (const VECTOR2< T > &aVector)
	Assignment operator.
VECTOR2< T >	operator+ (const VECTOR2< T > &aVector) const
	Vector addition operator.
VECTOR2< T >	operator+ (const T &aScalar) const
	Scalar addition operator.
VECTOR2< T > &	operator+= (const VECTOR2< T > &aVector)
	Compound assignment operator.
VECTOR2< T > &	operator+= (const T &aScalar)
	Compound assignment operator.
VECTOR2< T >	operator- (const VECTOR2< T > &aVector) const
	Vector subtraction operator.
VECTOR2< T >	operator- (const T &aScalar) const
	Scalar subtraction operator.
VECTOR2< T > &	operator-= (const VECTOR2< T > &aVector)
	Compound assignment operator.
VECTOR2< T > &	operator-= (const T &aScalar)
	Compound assignment operator.
VECTOR2< T >	operator- ()
	Negate Vector operator.
extended_type	operator* (const VECTOR2< T > &aVector) const
	Scalar product operator.
VECTOR2< T >	operator* (const T &aFactor) const
	Multiplication with a factor.
VECTOR2< T >	operator/ (const T &aFactor) const
	Division with a factor.
bool	operator== (const VECTOR2< T > &aVector) const
	Equality operator.
bool	operator!= (const VECTOR2< T > &aVector) const
	Not equality operator.
bool	operator< (const VECTOR2< T > &aVector) const
	Smaller than operator.
bool	operator<= (const VECTOR2< T > &aVector) const
bool	operator> (const VECTOR2< T > &aVector) const
	Greater than operator.
bool	operator>= (const VECTOR2< T > &aVector) const

Public Attributes
T	x
T	y

Static Public Attributes
static constexpr extended_type	ECOORD_MAX = std::numeric_limits<extended_type>::max()
static constexpr extended_type	ECOORD_MIN = std::numeric_limits<extended_type>::min()

Detailed Description

template<class T = int>
class VECTOR2< T >

Class VECTOR2 defines a general 2D-vector/point.

This class uses templates to be universal. Several operators are provided to help easy implementing of linear algebra equations.

Constructor & Destructor Documentation

VECTOR2()

template<class T = int>

template<typename CastingType >

VECTOR2< T >::VECTOR2 ( const VECTOR2< CastingType > &  aVec )

inline

Initializes a vector from another specialization.

Beware of rouding issues.

Member Function Documentation

Angle()

template<class T >

double VECTOR2< T >::Angle

Function Angle computes the angle of the vector.

Returns

vector angle, in radians

EuclideanNorm()

template<class T >

T VECTOR2< T >::EuclideanNorm

Destructor.

Function Euclidean Norm computes the Euclidean norm of the vector, which is defined as sqrt(x ** 2 + y ** 2). It is used to calculate the length of the vector.

Returns

Scalar, the euclidean norm

Format()

template<class T >

const std::string VECTOR2< T >::Format

Function Format returns the vector formatted as a string.

Returns

the formatted string

operator()()

template<class T = int>

template<typename CastedType >

VECTOR2<CastedType> VECTOR2< T >::operator() ( ) const

inline

Casts a vector to another specialized subclass.

Beware of rouding issues.

Perpendicular()

template<class T >

VECTOR2< T > VECTOR2< T >::Perpendicular

Function Perpendicular computes the perpendicular vector.

Returns

Perpendicular vector

Resize()

template<class T >

VECTOR2< T > VECTOR2< T >::Resize

(

T

aNewLength

)

const

Function Resize returns a vector of the same direction, but length specified in aNewLength.

Parameters

aNewLength

length of the rescaled vector

Returns

rescaled vector

Rotate()

template<class T >

VECTOR2< T > VECTOR2< T >::Rotate

(

double

aAngle

)

const

Function Rotate rotates the vector by a given angle.

Rotate a VECTOR2 by aAngle.

Parameters

aAngle

rotation angle in radians

Returns

rotated vector

Parameters

aAngle

= rotation angle in radians

SquaredEuclideanNorm()

template<class T >

VECTOR2< T >::extended_type VECTOR2< T >::SquaredEuclideanNorm

Function Squared Euclidean Norm computes the squared euclidean norm of the vector, which is defined as (x ** 2 + y ** 2).

It is used to calculate the length of the vector.

Returns

Scalar, the euclidean norm

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

• 3rd_party/router/include/math/vector2d.h