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Ogre::Vector2 Class Reference
Math

Standard 2-dimensional vector. More...

#include <OgreVector2.h>

+ Collaboration diagram for Ogre::Vector2:

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.

Definition at line 51 of file OgreVector2.h.

Constructor & Destructor Documentation

Ogre::Vector2::Vector2 ( )
inline

Default constructor.

Note
It does NOT initialize the vector for efficiency.

Definition at line 61 of file OgreVector2.h.

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

Definition at line 65 of file OgreVector2.h.

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

Definition at line 70 of file OgreVector2.h.

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

Definition at line 75 of file OgreVector2.h.

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

Definition at line 81 of file OgreVector2.h.

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

Definition at line 87 of file OgreVector2.h.

Member Function Documentation

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.

Definition at line 556 of file OgreVector2.h.

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

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.

Definition at line 574 of file OgreVector2.h.

References Ogre::Math::TWO_PI.

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.

Definition at line 495 of file OgreVector2.h.

References x, and y.

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.

Definition at line 358 of file OgreVector2.h.

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
vecVector with which to calculate the dot product (together with this one).
Returns
A float representing the dot product value.

Definition at line 392 of file OgreVector2.h.

References x, and y.

bool Ogre::Vector2::isNaN ( ) const
inline

Check whether this vector contains valid values.

Definition at line 547 of file OgreVector2.h.

References Ogre::Math::isNaN().

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

Returns true if this vector is zero length.

Definition at line 522 of file OgreVector2.h.

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.

Definition at line 331 of file OgreVector2.h.

References Ogre::Math::Sqrt().

Referenced by angleBetween().

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.

Definition at line 474 of file OgreVector2.h.

References x, and y.

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.

Definition at line 461 of file OgreVector2.h.

References x, and y.

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

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

Definition at line 427 of file OgreVector2.h.

References x, and y.

Real Ogre::Vector2::normalise ( void  )
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.

Definition at line 407 of file OgreVector2.h.

References Ogre::Math::Sqrt().

Referenced by 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.

Definition at line 531 of file OgreVector2.h.

References normalise().

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

Definition at line 150 of file OgreVector2.h.

References x, and y.

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

Definition at line 170 of file OgreVector2.h.

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

Definition at line 177 of file OgreVector2.h.

References x, and y.

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

Definition at line 288 of file OgreVector2.h.

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

Definition at line 296 of file OgreVector2.h.

References x, and y.

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

Definition at line 156 of file OgreVector2.h.

References x, and y.

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

Definition at line 202 of file OgreVector2.h.

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

Definition at line 256 of file OgreVector2.h.

References x, and y.

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

Definition at line 264 of file OgreVector2.h.

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

Definition at line 163 of file OgreVector2.h.

References x, and y.

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

Definition at line 207 of file OgreVector2.h.

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

Definition at line 272 of file OgreVector2.h.

References x, and y.

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

Definition at line 280 of file OgreVector2.h.

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

Definition at line 184 of file OgreVector2.h.

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

Definition at line 195 of file OgreVector2.h.

References x, and y.

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

Definition at line 304 of file OgreVector2.h.

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

Definition at line 316 of file OgreVector2.h.

References x, and y.

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.

Definition at line 437 of file OgreVector2.h.

References x, and y.

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

Assigns the value of the other vector.

Parameters
rkVectorThe other vector

Definition at line 129 of file OgreVector2.h.

References x, and y.

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

Definition at line 137 of file OgreVector2.h.

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

Definition at line 145 of file OgreVector2.h.

References x, and y.

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.

Definition at line 447 of file OgreVector2.h.

References x, and y.

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

Definition at line 100 of file OgreVector2.h.

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

Definition at line 107 of file OgreVector2.h.

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.

Definition at line 487 of file OgreVector2.h.

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

Pointer accessor for direct copying.

Definition at line 115 of file OgreVector2.h.

Referenced by Ogre::AnimableValue::setAsBaseValue(), and Ogre::RTShader::UniformParameter::setGpuParameter().

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

Pointer accessor for direct copying.

Definition at line 120 of file OgreVector2.h.

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
angleThe 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.

Definition at line 512 of file OgreVector2.h.

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

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.

Definition at line 541 of file OgreVector2.h.

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.

Definition at line 373 of file OgreVector2.h.

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.

Definition at line 346 of file OgreVector2.h.

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

Exchange the contents of this vector with another.

Definition at line 94 of file OgreVector2.h.

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

Friends And Related Function Documentation

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

Definition at line 213 of file OgreVector2.h.

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

Definition at line 227 of file OgreVector2.h.

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

Definition at line 234 of file OgreVector2.h.

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

Definition at line 241 of file OgreVector2.h.

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

Definition at line 248 of file OgreVector2.h.

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

Definition at line 220 of file OgreVector2.h.

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

Function for writing to a stream.

Definition at line 595 of file OgreVector2.h.

Member Data Documentation

const Vector2 Ogre::Vector2::NEGATIVE_UNIT_X
static

Definition at line 588 of file OgreVector2.h.

const Vector2 Ogre::Vector2::NEGATIVE_UNIT_Y
static

Definition at line 589 of file OgreVector2.h.

const Vector2 Ogre::Vector2::UNIT_SCALE
static

Definition at line 590 of file OgreVector2.h.

const Vector2 Ogre::Vector2::UNIT_X
static

Definition at line 586 of file OgreVector2.h.

const Vector2 Ogre::Vector2::UNIT_Y
static

Definition at line 587 of file OgreVector2.h.

Real Ogre::Vector2::x

Definition at line 54 of file OgreVector2.h.

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

Real Ogre::Vector2::y

Definition at line 54 of file OgreVector2.h.

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

const Vector2 Ogre::Vector2::ZERO
static

Definition at line 585 of file OgreVector2.h.

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