OGRE  1.9 Object-Oriented Graphics Rendering Engine
Ogre::Vector3 Class Reference

Standard 3-dimensional vector. More...

`#include <OgreVector3.h>`

Collaboration diagram for Ogre::Vector3:

## Public Member Functions

Vector3 ()
Default constructor. More...

Vector3 (const Real fX, const Real fY, const Real fZ)

Vector3 (const Real afCoordinate[3])

Vector3 (const int afCoordinate[3])

Vector3 (Real *const r)

Vector3 (const Real scaler)

Real absDotProduct (const Vector3 &vec) const
Calculates the absolute dot (scalar) product of this vector with another. More...

Radian angleBetween (const Vector3 &dest) const
Gets the angle between 2 vectors. More...

Vector3 crossProduct (const Vector3 &rkVector) const
Calculates the cross-product of 2 vectors, i.e. More...

bool directionEquals (const Vector3 &rhs, const Radian &tolerance) const
Returns whether this vector is within a directional tolerance of another vector. More...

Real distance (const Vector3 &rhs) const
Returns the distance to another vector. More...

Real dotProduct (const Vector3 &vec) const
Calculates the dot (scalar) product of this vector with another. More...

Quaternion getRotationTo (const Vector3 &dest, const Vector3 &fallbackAxis=Vector3::ZERO) const
Gets the shortest arc quaternion to rotate this vector to the destination vector. 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 Vector3 &cmp)
Sets this vector's components to the maximum of its own and the ones of the passed in vector. More...

void makeFloor (const Vector3 &cmp)
Sets this vector's components to the minimum of its own and the ones of the passed in vector. More...

Vector3 midPoint (const Vector3 &vec) const
Returns a vector at a point half way between this and the passed in vector. More...

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

Vector3 normalisedCopy (void) const
As normalise, except that this vector is unaffected and the normalised vector is returned as a copy. More...

bool operator!= (const Vector3 &rkVector) const

Vector3 operator* (const Real fScalar) const

Vector3 operator* (const Vector3 &rhs) const

Vector3operator*= (const Real fScalar)

Vector3operator*= (const Vector3 &rkVector)

Vector3 operator+ (const Vector3 &rkVector) const

const Vector3operator+ () const

Vector3operator+= (const Vector3 &rkVector)

Vector3operator+= (const Real fScalar)

Vector3 operator- (const Vector3 &rkVector) const

Vector3 operator- () const

Vector3operator-= (const Vector3 &rkVector)

Vector3operator-= (const Real fScalar)

Vector3 operator/ (const Real fScalar) const

Vector3 operator/ (const Vector3 &rhs) const

Vector3operator/= (const Real fScalar)

Vector3operator/= (const Vector3 &rkVector)

bool operator< (const Vector3 &rhs) const
Returns true if the vector's scalar components are all greater that the ones of the vector it is compared against. More...

Vector3operator= (const Vector3 &rkVector)
Assigns the value of the other vector. More...

Vector3operator= (const Real fScaler)

bool operator== (const Vector3 &rkVector) const

bool operator> (const Vector3 &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

Realoperator[] (const size_t i)

Vector3 perpendicular (void) const
Generates a vector perpendicular to this vector (eg an 'up' vector). More...

bool positionCloses (const Vector3 &rhs, Real tolerance=1e-03f) const
Returns whether this vector is within a positional tolerance of another vector, also take scale of the vectors into account. More...

bool positionEquals (const Vector3 &rhs, Real tolerance=1e-03) const
Returns whether this vector is within a positional tolerance of another vector. More...

Vector3 primaryAxis () const
Extract the primary (dominant) axis from this direction vector. More...

Realptr ()
Pointer accessor for direct copying. More...

const Realptr () const
Pointer accessor for direct copying. More...

Vector3 randomDeviant (const Radian &angle, const Vector3 &up=Vector3::ZERO) const
Generates a new random vector which deviates from this vector by a given angle in a random direction. More...

Vector3 reflect (const Vector3 &normal) const
Calculates a reflection vector to the plane with the given normal . More...

Real squaredDistance (const Vector3 &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 (Vector3 &other)
Exchange the contents of this vector with another. More...

Real x

Real y

Real z

## Static Public Attributes

static const Vector3 NEGATIVE_UNIT_X

static const Vector3 NEGATIVE_UNIT_Y

static const Vector3 NEGATIVE_UNIT_Z

static const Vector3 UNIT_SCALE

static const Vector3 UNIT_X

static const Vector3 UNIT_Y

static const Vector3 UNIT_Z

static const Vector3 ZERO

## Friends

Vector3 operator* (const Real fScalar, const Vector3 &rkVector)

Vector3 operator+ (const Vector3 &lhs, const Real rhs)

Vector3 operator+ (const Real lhs, const Vector3 &rhs)

Vector3 operator- (const Vector3 &lhs, const Real rhs)

Vector3 operator- (const Real lhs, const Vector3 &rhs)

Vector3 operator/ (const Real fScalar, const Vector3 &rkVector)

_OgreExport friend std::ostream & operator<< (std::ostream &o, const Vector3 &v)
Function for writing to a stream. More...

## Detailed Description

Standard 3-dimensional vector.

Remarks
A direction in 3D space represented as distances along the 3 orthogonal axes (x, y, z). 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 OgreVector3.h.

## Constructor & Destructor Documentation

 Ogre::Vector3::Vector3 ( )
inline

Default constructor.

Note
It does NOT initialize the vector for efficiency.

Definition at line 61 of file OgreVector3.h.

 Ogre::Vector3::Vector3 ( const Real fX, const Real fY, const Real fZ )
inline

Definition at line 65 of file OgreVector3.h.

 Ogre::Vector3::Vector3 ( const Real afCoordinate[3] )
inlineexplicit

Definition at line 70 of file OgreVector3.h.

 Ogre::Vector3::Vector3 ( const int afCoordinate[3] )
inlineexplicit

Definition at line 77 of file OgreVector3.h.

 Ogre::Vector3::Vector3 ( Real *const r )
inlineexplicit

Definition at line 84 of file OgreVector3.h.

 Ogre::Vector3::Vector3 ( const Real scaler )
inlineexplicit

Definition at line 89 of file OgreVector3.h.

## Member Function Documentation

 Real Ogre::Vector3::absDotProduct ( const Vector3 & vec ) const
inline

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

Remarks
This function work similar dotProduct, except it use absolute value of each component of the vector to computing.
Parameters
 vec Vector with which to calculate the absolute dot product (together with this one).
Returns
A Real representing the absolute dot product value.

Definition at line 432 of file OgreVector3.h.

References Ogre::Math::Abs(), x, y, and z.

 Radian Ogre::Vector3::angleBetween ( const Vector3 & dest ) const
inline

Gets the angle between 2 vectors.

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

Definition at line 633 of file OgreVector3.h.

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

 Vector3 Ogre::Vector3::crossProduct ( const Vector3 & rkVector ) const
inline

Calculates the cross-product of 2 vectors, i.e.

the vector that lies perpendicular to them both.

Remarks
The cross-product is normally used to calculate the normal vector of a plane, by calculating the cross-product of 2 non-equivalent vectors which lie on the plane (e.g. 2 edges of a triangle).
Parameters
 rkVector Vector which, together with this one, will be used to calculate the cross-product.
Returns
A vector which is the result of the cross-product. This vector will NOT be normalised, to maximise efficiency
• call Vector3::normalise on the result if you wish this to be done. As for which side the resultant vector will be on, the returned vector will be on the side from which the arc from 'this' to rkVector is anticlockwise, e.g. UNIT_Y.crossProduct(UNIT_Z) = UNIT_X, whilst UNIT_Z.crossProduct(UNIT_Y) = -UNIT_X. This is because OGRE uses a right-handed coordinate system.
For a clearer explanation, look a the left and the bottom edges of your monitor's screen. Assume that the first vector is the left edge and the second vector is the bottom edge, both of them starting from the lower-left corner of the screen. The resulting vector is going to be perpendicular to both of them and will go inside the screen, towards the cathode tube (assuming you're using a CRT monitor, of course).

Definition at line 492 of file OgreVector3.h.

References x, y, and z.

Referenced by getRotationTo().

 bool Ogre::Vector3::directionEquals ( const Vector3 & rhs, const Radian & tolerance ) const
inline

Returns whether this vector is within a directional tolerance of another vector.

Parameters
 rhs The vector to compare with tolerance The maximum angle by which the vectors may vary and still be considered equal
Note
Both vectors should be normalised.

Definition at line 763 of file OgreVector3.h.

 Real Ogre::Vector3::distance ( const Vector3 & 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 383 of file OgreVector3.h.

 Real Ogre::Vector3::dotProduct ( const Vector3 & 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.

Definition at line 417 of file OgreVector3.h.

References x, y, and z.

Referenced by getRotationTo().

 Quaternion Ogre::Vector3::getRotationTo ( const Vector3 & dest, const Vector3 & fallbackAxis = `Vector3::ZERO` ) const
inline

Gets the shortest arc quaternion to rotate this vector to the destination vector.

Remarks
If you call this with a dest vector that is close to the inverse of this vector, we will rotate 180 degrees around the 'fallbackAxis' (if specified, or a generated axis if not) since in this case ANY axis of rotation is valid.

Definition at line 655 of file OgreVector3.h.

 bool Ogre::Vector3::isNaN ( ) const
inline

Check whether this vector contains valid values.

Definition at line 774 of file OgreVector3.h.

References Ogre::Math::isNaN().

 bool Ogre::Vector3::isZeroLength ( void ) const
inline

Returns true if this vector is zero length.

Definition at line 706 of file OgreVector3.h.

Referenced by getRotationTo().

 Real Ogre::Vector3::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 356 of file OgreVector3.h.

References Ogre::Math::Sqrt().

Referenced by angleBetween().

 void Ogre::Vector3::makeCeil ( const Vector3 & 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 552 of file OgreVector3.h.

References x, y, and z.

Referenced by Ogre::AxisAlignedBox::intersection(), and Ogre::AxisAlignedBox::merge().

 void Ogre::Vector3::makeFloor ( const Vector3 & 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 538 of file OgreVector3.h.

References x, y, and z.

Referenced by Ogre::AxisAlignedBox::intersection(), and Ogre::AxisAlignedBox::merge().

 Vector3 Ogre::Vector3::midPoint ( const Vector3 & vec ) const
inline

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

Definition at line 503 of file OgreVector3.h.

References x, y, and z.

 Real Ogre::Vector3::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 446 of file OgreVector3.h.

References Ogre::Math::Sqrt().

 Vector3 Ogre::Vector3::normalisedCopy ( void ) const
inline

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

Definition at line 715 of file OgreVector3.h.

References normalise().

 bool Ogre::Vector3::operator!= ( const Vector3 & rkVector ) const
inline

Definition at line 157 of file OgreVector3.h.

References x, y, and z.

 Vector3 Ogre::Vector3::operator* ( const Real fScalar ) const
inline

Definition at line 179 of file OgreVector3.h.

 Vector3 Ogre::Vector3::operator* ( const Vector3 & rhs ) const
inline

Definition at line 187 of file OgreVector3.h.

References x, y, and z.

 Vector3& Ogre::Vector3::operator*= ( const Real fScalar )
inline

Definition at line 309 of file OgreVector3.h.

 Vector3& Ogre::Vector3::operator*= ( const Vector3 & rkVector )
inline

Definition at line 317 of file OgreVector3.h.

References x, y, and z.

 Vector3 Ogre::Vector3::operator+ ( const Vector3 & rkVector ) const
inline

Definition at line 163 of file OgreVector3.h.

References x, y, and z.

 const Vector3& Ogre::Vector3::operator+ ( ) const
inline

Definition at line 215 of file OgreVector3.h.

 Vector3& Ogre::Vector3::operator+= ( const Vector3 & rkVector )
inline

Definition at line 275 of file OgreVector3.h.

References x, y, and z.

 Vector3& Ogre::Vector3::operator+= ( const Real fScalar )
inline

Definition at line 284 of file OgreVector3.h.

 Vector3 Ogre::Vector3::operator- ( const Vector3 & rkVector ) const
inline

Definition at line 171 of file OgreVector3.h.

References x, y, and z.

 Vector3 Ogre::Vector3::operator- ( ) const
inline

Definition at line 220 of file OgreVector3.h.

 Vector3& Ogre::Vector3::operator-= ( const Vector3 & rkVector )
inline

Definition at line 292 of file OgreVector3.h.

References x, y, and z.

 Vector3& Ogre::Vector3::operator-= ( const Real fScalar )
inline

Definition at line 301 of file OgreVector3.h.

 Vector3 Ogre::Vector3::operator/ ( const Real fScalar ) const
inline

Definition at line 195 of file OgreVector3.h.

 Vector3 Ogre::Vector3::operator/ ( const Vector3 & rhs ) const
inline

Definition at line 207 of file OgreVector3.h.

References x, y, and z.

 Vector3& Ogre::Vector3::operator/= ( const Real fScalar )
inline

Definition at line 326 of file OgreVector3.h.

 Vector3& Ogre::Vector3::operator/= ( const Vector3 & rkVector )
inline

Definition at line 339 of file OgreVector3.h.

References x, y, and z.

 bool Ogre::Vector3::operator< ( const Vector3 & 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 514 of file OgreVector3.h.

References x, y, and z.

 Vector3& Ogre::Vector3::operator= ( const Vector3 & rkVector )
inline

Assigns the value of the other vector.

Parameters
 rkVector The other vector

Definition at line 134 of file OgreVector3.h.

References x, y, and z.

 Vector3& Ogre::Vector3::operator= ( const Real fScaler )
inline

Definition at line 143 of file OgreVector3.h.

 bool Ogre::Vector3::operator== ( const Vector3 & rkVector ) const
inline

Definition at line 152 of file OgreVector3.h.

References x, y, and z.

 bool Ogre::Vector3::operator> ( const Vector3 & 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 524 of file OgreVector3.h.

References x, y, and z.

 Real Ogre::Vector3::operator[] ( const size_t i ) const
inline

Definition at line 106 of file OgreVector3.h.

 Real& Ogre::Vector3::operator[] ( const size_t i )
inline

Definition at line 113 of file OgreVector3.h.

 Vector3 Ogre::Vector3::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 566 of file OgreVector3.h.

References normalise(), squaredLength(), UNIT_X, and UNIT_Y.

 bool Ogre::Vector3::positionCloses ( const Vector3 & rhs, Real tolerance = `1e-03f` ) const
inline

Returns whether this vector is within a positional tolerance of another vector, also take scale of the vectors into account.

Parameters
 rhs The vector to compare with tolerance The amount (related to the scale of vectors) that distance of the vector may vary by and still be considered close

Definition at line 750 of file OgreVector3.h.

References squaredLength().

 bool Ogre::Vector3::positionEquals ( const Vector3 & rhs, Real tolerance = `1e-03` ) const
inline

Returns whether this vector is within a positional tolerance of another vector.

Parameters
 rhs The vector to compare with tolerance The amount that each element of the vector may vary by and still be considered equal

Definition at line 736 of file OgreVector3.h.

References Ogre::Math::RealEqual(), x, y, and z.

 Vector3 Ogre::Vector3::primaryAxis ( ) const
inline

Extract the primary (dominant) axis from this direction vector.

Definition at line 780 of file OgreVector3.h.

References Ogre::Math::Abs(), NEGATIVE_UNIT_X, NEGATIVE_UNIT_Y, NEGATIVE_UNIT_Z, UNIT_X, UNIT_Y, and UNIT_Z.

 Real* Ogre::Vector3::ptr ( )
inline

Pointer accessor for direct copying.

Definition at line 120 of file OgreVector3.h.

Referenced by Ogre::AnimableValue::setAsBaseValue().

 const Real* Ogre::Vector3::ptr ( ) const
inline

Pointer accessor for direct copying.

Definition at line 125 of file OgreVector3.h.

 Vector3 Ogre::Vector3::randomDeviant ( const Radian & angle, const Vector3 & up = `Vector3::ZERO` ) 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 up Any vector perpendicular to this one (which could generated by cross-product of this vector and any other non-colinear vector). If you choose not to provide this the function will derive one on it's own, however if you provide one yourself the function will be faster (this allows you to reuse up vectors if you call this method more than once)
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 603 of file OgreVector3.h.

 Vector3 Ogre::Vector3::reflect ( const Vector3 & 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 725 of file OgreVector3.h.

 Real Ogre::Vector3::squaredDistance ( const Vector3 & 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 398 of file OgreVector3.h.

Referenced by Ogre::PCZone::PortalSortDistance::operator()().

 Real Ogre::Vector3::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 371 of file OgreVector3.h.

 void Ogre::Vector3::swap ( Vector3 & other )
inline

Exchange the contents of this vector with another.

Definition at line 99 of file OgreVector3.h.

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

## Friends And Related Function Documentation

 Vector3 operator* ( const Real fScalar, const Vector3 & rkVector )
friend

Definition at line 226 of file OgreVector3.h.

 Vector3 operator+ ( const Vector3 & lhs, const Real rhs )
friend

Definition at line 242 of file OgreVector3.h.

 Vector3 operator+ ( const Real lhs, const Vector3 & rhs )
friend

Definition at line 250 of file OgreVector3.h.

 Vector3 operator- ( const Vector3 & lhs, const Real rhs )
friend

Definition at line 258 of file OgreVector3.h.

 Vector3 operator- ( const Real lhs, const Vector3 & rhs )
friend

Definition at line 266 of file OgreVector3.h.

 Vector3 operator/ ( const Real fScalar, const Vector3 & rkVector )
friend

Definition at line 234 of file OgreVector3.h.

 _OgreExport friend std::ostream& operator<< ( std::ostream & o, const Vector3 & v )
friend

Function for writing to a stream.

Definition at line 812 of file OgreVector3.h.

## Member Data Documentation

 const Vector3 Ogre::Vector3::NEGATIVE_UNIT_X
static

Definition at line 804 of file OgreVector3.h.

Referenced by primaryAxis().

 const Vector3 Ogre::Vector3::NEGATIVE_UNIT_Y
static

Definition at line 805 of file OgreVector3.h.

Referenced by primaryAxis().

 const Vector3 Ogre::Vector3::NEGATIVE_UNIT_Z
static

Definition at line 806 of file OgreVector3.h.

Referenced by primaryAxis(), and Ogre::PortalBase::setDirection().

 const Vector3 Ogre::Vector3::UNIT_SCALE
static

Definition at line 807 of file OgreVector3.h.

 const Vector3 Ogre::Vector3::UNIT_X
static

Definition at line 801 of file OgreVector3.h.

Referenced by getRotationTo(), perpendicular(), and primaryAxis().

 const Vector3 Ogre::Vector3::UNIT_Y
static

Definition at line 802 of file OgreVector3.h.

Referenced by getRotationTo(), perpendicular(), and primaryAxis().

 const Vector3 Ogre::Vector3::UNIT_Z
static

Definition at line 803 of file OgreVector3.h.

Referenced by primaryAxis(), and Ogre::PortalBase::setDirection().

 const Vector3 Ogre::Vector3::ZERO
static

Definition at line 800 of file OgreVector3.h.

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