Standard 2-dimensional vector. More...

#include <OgreVector2.h>

Public Member Functions
	Vector2 ()
	Default constructor. More...

	Vector2 (const Real fX, const Real fY)

	Vector2 (const Real scaler)

	Vector2 (const Real afCoordinate[2])

	Vector2 (const int afCoordinate[2])

	Vector2 (Real *const r)

Ogre::Radian	angleBetween (const Ogre::Vector2 &other) const
	Gets the angle between 2 vectors. More...

Ogre::Radian	angleTo (const Ogre::Vector2 &other) const
	Gets the oriented angle between 2 vectors. More...

Real	crossProduct (const Vector2 &rkVector) const
	Calculates the 2 dimensional cross-product of 2 vectors, which results in a single floating point value which is 2 times the area of the triangle. More...

Real	distance (const Vector2 &rhs) const
	Returns the distance to another vector. More...

Real	dotProduct (const Vector2 &vec) const
	Calculates the dot (scalar) product of this vector with another. More...

bool	isNaN () const
	Check whether this vector contains valid values. More...

bool	isZeroLength (void) const
	Returns true if this vector is zero length. More...

Real	length () const
	Returns the length (magnitude) of the vector. More...

void	makeCeil (const Vector2 &cmp)
	Sets this vector's components to the maximum of its own and the ones of the passed in vector. More...

void	makeFloor (const Vector2 &cmp)
	Sets this vector's components to the minimum of its own and the ones of the passed in vector. More...

Vector2	midPoint (const Vector2 &vec) const
	Returns a vector at a point half way between this and the passed in vector. More...

Real	normalise ()
	Normalises the vector. More...

Vector2	normalisedCopy (void) const
	As normalise, except that this vector is unaffected and the normalised vector is returned as a copy. More...

bool	operator!= (const Vector2 &rkVector) const

Vector2	operator* (const Real fScalar) const

Vector2	operator* (const Vector2 &rhs) const

Vector2 &	operator*= (const Real fScalar)

Vector2 &	operator*= (const Vector2 &rkVector)

Vector2	operator+ (const Vector2 &rkVector) const

const Vector2 &	operator+ () const

Vector2 &	operator+= (const Vector2 &rkVector)

Vector2 &	operator+= (const Real fScaler)

Vector2	operator- (const Vector2 &rkVector) const

Vector2	operator- () const

Vector2 &	operator-= (const Vector2 &rkVector)

Vector2 &	operator-= (const Real fScaler)

Vector2	operator/ (const Real fScalar) const

Vector2	operator/ (const Vector2 &rhs) const

Vector2 &	operator/= (const Real fScalar)

Vector2 &	operator/= (const Vector2 &rkVector)

bool	operator< (const Vector2 &rhs) const
	Returns true if the vector's scalar components are all greater that the ones of the vector it is compared against. More...

Vector2 &	operator= (const Vector2 &rkVector)
	Assigns the value of the other vector. More...

Vector2 &	operator= (const Real fScalar)

bool	operator== (const Vector2 &rkVector) const

bool	operator> (const Vector2 &rhs) const
	Returns true if the vector's scalar components are all smaller that the ones of the vector it is compared against. More...

Real	operator[] (const size_t i) const

Real &	operator[] (const size_t i)

Vector2	perpendicular (void) const
	Generates a vector perpendicular to this vector (eg an 'up' vector). More...

Real *	ptr ()
	Pointer accessor for direct copying. More...

const Real *	ptr () const
	Pointer accessor for direct copying. More...

Vector2	randomDeviant (Radian angle) const
	Generates a new random vector which deviates from this vector by a given angle in a random direction. More...

Vector2	reflect (const Vector2 &normal) const
	Calculates a reflection vector to the plane with the given normal . More...

Real	squaredDistance (const Vector2 &rhs) const
	Returns the square of the distance to another vector. More...

Real	squaredLength () const
	Returns the square of the length(magnitude) of the vector. More...

void	swap (Vector2 &other)
	Exchange the contents of this vector with another. More...

Public Attributes
Real	x

Real	y

Static Public Attributes
static const Vector2	NEGATIVE_UNIT_X

static const Vector2	NEGATIVE_UNIT_Y

static const Vector2	UNIT_SCALE

static const Vector2	UNIT_X

static const Vector2	UNIT_Y

static const Vector2	ZERO

Friends
Vector2	operator* (const Real fScalar, const Vector2 &rkVector)

Vector2	operator+ (const Vector2 &lhs, const Real rhs)

Vector2	operator+ (const Real lhs, const Vector2 &rhs)

Vector2	operator- (const Vector2 &lhs, const Real rhs)

Vector2	operator- (const Real lhs, const Vector2 &rhs)

Vector2	operator/ (const Real fScalar, const Vector2 &rkVector)

_OgreExport friend std::ostream &	operator<< (std::ostream &o, const Vector2 &v)
	Function for writing to a stream. More...

Detailed Description

Standard 2-dimensional vector.

Remarks: A direction in 2D space represented as distances along the 2 orthogonal axes (x, y). Note that positions, directions and scaling factors can be represented by a vector, depending on how you interpret the values.

Constructor & Destructor Documentation

◆ Vector2() [1/6]

Ogre::Vector2::Vector2 ( )

inline

Default constructor.

Note: It does NOT initialize the vector for efficiency.

◆ Vector2() [2/6]

Ogre::Vector2::Vector2	(	const Real	fX,
		const Real	fY
	)

inline

◆ Vector2() [3/6]

Ogre::Vector2::Vector2 ( const Real scaler )

inlineexplicit

◆ Vector2() [4/6]

Ogre::Vector2::Vector2 ( const Real afCoordinate[2] )

inlineexplicit

◆ Vector2() [5/6]

Ogre::Vector2::Vector2 ( const int afCoordinate[2] )

inlineexplicit

◆ Vector2() [6/6]

Ogre::Vector2::Vector2 ( Real *const r )

inlineexplicit

Member Function Documentation

◆ swap()

void Ogre::Vector2::swap ( Vector2 & other )

inline

Exchange the contents of this vector with another.

References std::swap(), x, and y.

◆ operator[]() [1/2]

Real Ogre::Vector2::operator[] ( const size_t i ) const

inline

◆ operator[]() [2/2]

Real& Ogre::Vector2::operator[] ( const size_t i )

inline

◆ ptr() [1/2]

Real* Ogre::Vector2::ptr ( )

inline

Pointer accessor for direct copying.

Referenced by Ogre::RTShader::UniformParameter::setGpuParameter().

◆ ptr() [2/2]

const Real* Ogre::Vector2::ptr ( ) const

inline

Pointer accessor for direct copying.

◆ operator=() [1/2]

Vector2& Ogre::Vector2::operator= ( const Vector2 & rkVector )

inline

Assigns the value of the other vector.

Parameters

rkVector The other vector

References x, and y.

◆ operator=() [2/2]

Vector2& Ogre::Vector2::operator= ( const Real fScalar )

inline

◆ operator==()

bool Ogre::Vector2::operator== ( const Vector2 & rkVector ) const

inline

References x, and y.

◆ operator!=()

bool Ogre::Vector2::operator!= ( const Vector2 & rkVector ) const

inline

References x, and y.

◆ operator+() [1/2]

Vector2 Ogre::Vector2::operator+ ( const Vector2 & rkVector ) const

inline

References x, and y.

◆ operator-() [1/2]

Vector2 Ogre::Vector2::operator- ( const Vector2 & rkVector ) const

inline

References x, and y.

◆ operator*() [1/2]

Vector2 Ogre::Vector2::operator* ( const Real fScalar ) const

inline

◆ operator*() [2/2]

Vector2 Ogre::Vector2::operator* ( const Vector2 & rhs ) const

inline

References x, and y.

◆ operator/() [1/2]

Vector2 Ogre::Vector2::operator/ ( const Real fScalar ) const

inline

◆ operator/() [2/2]

Vector2 Ogre::Vector2::operator/ ( const Vector2 & rhs ) const

inline

References x, and y.

◆ operator+() [2/2]

const Vector2& Ogre::Vector2::operator+ ( ) const

inline

◆ operator-() [2/2]

Vector2 Ogre::Vector2::operator- ( ) const

inline

◆ operator+=() [1/2]

Vector2& Ogre::Vector2::operator+= ( const Vector2 & rkVector )

inline

References x, and y.

◆ operator+=() [2/2]

Vector2& Ogre::Vector2::operator+= ( const Real fScaler )

inline

◆ operator-=() [1/2]

Vector2& Ogre::Vector2::operator-= ( const Vector2 & rkVector )

inline

References x, and y.

◆ operator-=() [2/2]

Vector2& Ogre::Vector2::operator-= ( const Real fScaler )

inline

◆ operator*=() [1/2]

Vector2& Ogre::Vector2::operator*= ( const Real fScalar )

inline

◆ operator*=() [2/2]

Vector2& Ogre::Vector2::operator*= ( const Vector2 & rkVector )

inline

References x, and y.

◆ operator/=() [1/2]

Vector2& Ogre::Vector2::operator/= ( const Real fScalar )

inline

◆ operator/=() [2/2]

Vector2& Ogre::Vector2::operator/= ( const Vector2 & rkVector )

inline

References x, and y.

◆ length()

Real Ogre::Vector2::length ( ) const

inline

Returns the length (magnitude) of the vector.

Warning: This operation requires a square root and is expensive in terms of CPU operations. If you don't need to know the exact length (e.g. for just comparing lengths) use squaredLength() instead.

References Ogre::Math::Sqrt().

Referenced by angleBetween().

◆ squaredLength()

Real Ogre::Vector2::squaredLength ( ) const

inline

Returns the square of the length(magnitude) of the vector.

Remarks: This method is for efficiency - calculating the actual length of a vector requires a square root, which is expensive in terms of the operations required. This method returns the square of the length of the vector, i.e. the same as the length but before the square root is taken. Use this if you want to find the longest / shortest vector without incurring the square root.

◆ distance()

Real Ogre::Vector2::distance ( const Vector2 & rhs ) const

inline

Returns the distance to another vector.

Warning: This operation requires a square root and is expensive in terms of CPU operations. If you don't need to know the exact distance (e.g. for just comparing distances) use squaredDistance() instead.

◆ squaredDistance()

Real Ogre::Vector2::squaredDistance ( const Vector2 & rhs ) const

inline

Returns the square of the distance to another vector.

Remarks: This method is for efficiency - calculating the actual distance to another vector requires a square root, which is expensive in terms of the operations required. This method returns the square of the distance to another vector, i.e. the same as the distance but before the square root is taken. Use this if you want to find the longest / shortest distance without incurring the square root.

◆ dotProduct()

Real Ogre::Vector2::dotProduct ( const Vector2 & vec ) const

inline

Calculates the dot (scalar) product of this vector with another.

Remarks: The dot product can be used to calculate the angle between 2 vectors. If both are unit vectors, the dot product is the cosine of the angle; otherwise the dot product must be divided by the product of the lengths of both vectors to get the cosine of the angle. This result can further be used to calculate the distance of a point from a plane.

Parameters

vec	Vector with which to calculate the dot product (together with this one).

Returns: A float representing the dot product value.

References x, and y.

◆ normalise()

Real Ogre::Vector2::normalise ( )

inline

Normalises the vector.

Remarks: This method normalises the vector such that it's length / magnitude is 1. The result is called a unit vector.

Note: This function will not crash for zero-sized vectors, but there will be no changes made to their components.

Returns: The previous length of the vector.

References Ogre::Math::Sqrt().

Referenced by normalisedCopy().

◆ midPoint()

Vector2 Ogre::Vector2::midPoint ( const Vector2 & vec ) const

inline

Returns a vector at a point half way between this and the passed in vector.

References x, and y.

◆ operator<()

bool Ogre::Vector2::operator< ( const Vector2 & rhs ) const

inline

Returns true if the vector's scalar components are all greater that the ones of the vector it is compared against.

References x, and y.

◆ operator>()

bool Ogre::Vector2::operator> ( const Vector2 & rhs ) const

inline

Returns true if the vector's scalar components are all smaller that the ones of the vector it is compared against.

References x, and y.

◆ makeFloor()

void Ogre::Vector2::makeFloor ( const Vector2 & cmp )

inline

Sets this vector's components to the minimum of its own and the ones of the passed in vector.

Remarks: 'Minimum' in this case means the combination of the lowest value of x, y and z from both vectors. Lowest is taken just numerically, not magnitude, so -1 < 0.

References x, and y.

◆ makeCeil()

void Ogre::Vector2::makeCeil ( const Vector2 & cmp )

inline

Sets this vector's components to the maximum of its own and the ones of the passed in vector.

Remarks: 'Maximum' in this case means the combination of the highest value of x, y and z from both vectors. Highest is taken just numerically, not magnitude, so 1 > -3.

References x, and y.

◆ perpendicular()

Vector2 Ogre::Vector2::perpendicular ( void ) const

inline

Generates a vector perpendicular to this vector (eg an 'up' vector).

Remarks: This method will return a vector which is perpendicular to this vector. There are an infinite number of possibilities but this method will guarantee to generate one of them. If you need more control you should use the Quaternion class.

◆ crossProduct()

Real Ogre::Vector2::crossProduct ( const Vector2 & rkVector ) const

inline

Calculates the 2 dimensional cross-product of 2 vectors, which results in a single floating point value which is 2 times the area of the triangle.

References x, and y.

◆ randomDeviant()

Vector2 Ogre::Vector2::randomDeviant ( Radian angle ) const

inline

Generates a new random vector which deviates from this vector by a given angle in a random direction.

Remarks: This method assumes that the random number generator has already been seeded appropriately.

Parameters

angle The angle at which to deviate in radians

Returns: A random vector which deviates from this vector by angle. This vector will not be normalised, normalise it if you wish afterwards.

References Ogre::Math::Cos(), Ogre::Math::RangeRandom(), and Ogre::Math::Sin().

◆ isZeroLength()

bool Ogre::Vector2::isZeroLength ( void ) const

inline

Returns true if this vector is zero length.

◆ normalisedCopy()

Vector2 Ogre::Vector2::normalisedCopy ( void ) const

inline

As normalise, except that this vector is unaffected and the normalised vector is returned as a copy.

References normalise().

◆ reflect()

Vector2 Ogre::Vector2::reflect ( const Vector2 & normal ) const

inline

Calculates a reflection vector to the plane with the given normal .

Remarks: NB assumes 'this' is pointing AWAY FROM the plane, invert if it is not.

◆ isNaN()

bool Ogre::Vector2::isNaN ( ) const

inline

Check whether this vector contains valid values.

References Ogre::Math::isNaN().

◆ angleBetween()

Ogre::Radian Ogre::Vector2::angleBetween ( const Ogre::Vector2 & other ) const

inline

Gets the angle between 2 vectors.

Remarks: Vectors do not have to be unit-length but must represent directions.

References Ogre::Math::ACos(), Ogre::Math::Clamp(), and length().

◆ angleTo()

Ogre::Radian Ogre::Vector2::angleTo ( const Ogre::Vector2 & other ) const

inline

Gets the oriented angle between 2 vectors.

Remarks: Vectors do not have to be unit-length but must represent directions. The angle is comprised between 0 and 2 PI.

References Ogre::Math::TWO_PI.

Friends And Related Function Documentation

◆ operator*

Vector2 operator*	(	const Real	fScalar,
		const Vector2 &	rkVector
	)

friend

◆ operator/

Vector2 operator/	(	const Real	fScalar,
		const Vector2 &	rkVector
	)

friend

◆ operator+ [1/2]

Vector2 operator+	(	const Vector2 &	lhs,
		const Real	rhs
	)

friend

◆ operator+ [2/2]

Vector2 operator+	(	const Real	lhs,
		const Vector2 &	rhs
	)

friend

◆ operator- [1/2]

Vector2 operator-	(	const Vector2 &	lhs,
		const Real	rhs
	)

friend

◆ operator- [2/2]

Vector2 operator-	(	const Real	lhs,
		const Vector2 &	rhs
	)

friend

◆ operator<<

_OgreExport friend std::ostream& operator<<	(	std::ostream &	o,
		const Vector2 &	v
	)

friend

Function for writing to a stream.

Member Data Documentation

◆ x

Real Ogre::Vector2::x

Referenced by crossProduct(), dotProduct(), makeCeil(), makeFloor(), midPoint(), operator!=(), operator*(), operator*=(), operator+(), operator+=(), operator-(), operator-=(), operator/(), operator/=(), operator<(), operator=(), operator==(), operator>(), and swap().

◆ y

Real Ogre::Vector2::y

Referenced by crossProduct(), dotProduct(), makeCeil(), makeFloor(), midPoint(), operator!=(), operator*(), operator*=(), operator+(), operator+=(), operator-(), operator-=(), operator/(), operator/=(), operator<(), operator=(), operator==(), operator>(), and swap().

◆ ZERO

const Vector2 Ogre::Vector2::ZERO

static

Referenced by Ogre::StringConverter::parseAngle().

◆ UNIT_X

const Vector2 Ogre::Vector2::UNIT_X

static

◆ UNIT_Y

const Vector2 Ogre::Vector2::UNIT_Y

static

◆ NEGATIVE_UNIT_X

const Vector2 Ogre::Vector2::NEGATIVE_UNIT_X

static

◆ NEGATIVE_UNIT_Y

const Vector2 Ogre::Vector2::NEGATIVE_UNIT_Y

static

◆ UNIT_SCALE

const Vector2 Ogre::Vector2::UNIT_SCALE

static

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

OgreVector2.h

Public Member Functions

Public Attributes

Static Public Attributes

Friends

Detailed Description

Constructor & Destructor Documentation

◆ Vector2() [1/6]

◆ Vector2() [2/6]

◆ Vector2() [3/6]

◆ Vector2() [4/6]

◆ Vector2() [5/6]

◆ Vector2() [6/6]

Member Function Documentation

◆ swap()

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ ptr() [1/2]

◆ ptr() [2/2]

◆ operator=() [1/2]

◆ operator=() [2/2]

◆ operator==()

◆ operator!=()

◆ operator+() [1/2]

◆ operator-() [1/2]

◆ operator*() [1/2]

◆ operator*() [2/2]

◆ operator/() [1/2]

◆ operator/() [2/2]

◆ operator+() [2/2]

◆ operator-() [2/2]

◆ operator+=() [1/2]

◆ operator+=() [2/2]

◆ operator-=() [1/2]

◆ operator-=() [2/2]

◆ operator*=() [1/2]

◆ operator*=() [2/2]

◆ operator/=() [1/2]

◆ operator/=() [2/2]

◆ length()

◆ squaredLength()

◆ distance()

◆ squaredDistance()

◆ dotProduct()

◆ normalise()

◆ midPoint()

◆ operator<()

◆ operator>()

◆ makeFloor()

◆ makeCeil()

◆ perpendicular()

◆ crossProduct()

◆ randomDeviant()

◆ isZeroLength()

◆ normalisedCopy()

◆ reflect()

◆ isNaN()

◆ angleBetween()

◆ angleTo()

Friends And Related Function Documentation

◆ operator*

◆ operator/

◆ operator+ [1/2]

◆ operator+ [2/2]

◆ operator- [1/2]

◆ operator- [2/2]

◆ operator<<

Member Data Documentation

◆ x

◆ y

◆ ZERO

◆ UNIT_X

◆ UNIT_Y

◆ NEGATIVE_UNIT_X

◆ NEGATIVE_UNIT_Y

◆ UNIT_SCALE