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Ogre::Quaternion

Ogre::Quaternion Class Reference

Implementation of a Quaternion, i.e. More...

#include <OgreQuaternion.h>

List of all members.

Public Member Functions

 Quaternion (Real fW=1.0, Real fX=0.0, Real fY=0.0, Real fZ=0.0)
 Quaternion (const Quaternion &rkQ)
 Quaternion (const Matrix3 &rot)
 Construct a quaternion from a rotation matrix.
 Quaternion (const Radian &rfAngle, const Vector3 &rkAxis)
 Construct a quaternion from an angle/axis.
 Quaternion (const Vector3 &xaxis, const Vector3 &yaxis, const Vector3 &zaxis)
 Construct a quaternion from 3 orthonormal local axes.
 Quaternion (const Vector3 *akAxis)
 Construct a quaternion from 3 orthonormal local axes.
 Quaternion (Real *valptr)
 Construct a quaternion from 4 manual w/x/y/z values.
void FromRotationMatrix (const Matrix3 &kRot)
void ToRotationMatrix (Matrix3 &kRot) const
void FromAngleAxis (const Radian &rfAngle, const Vector3 &rkAxis)
void ToAngleAxis (Radian &rfAngle, Vector3 &rkAxis) const
void ToAngleAxis (Degree &dAngle, Vector3 &rkAxis) const
void FromAxes (const Vector3 *akAxis)
void FromAxes (const Vector3 &xAxis, const Vector3 &yAxis, const Vector3 &zAxis)
void ToAxes (Vector3 *akAxis) const
void ToAxes (Vector3 &xAxis, Vector3 &yAxis, Vector3 &zAxis) const
Vector3 xAxis (void) const
 Get the local x-axis.
Vector3 yAxis (void) const
 Get the local y-axis.
Vector3 zAxis (void) const
 Get the local z-axis.
Quaternion & operator= (const Quaternion &rkQ)
Quaternion operator+ (const Quaternion &rkQ) const
Quaternion operator- (const Quaternion &rkQ) const
Quaternion operator * (const Quaternion &rkQ) const
Quaternion operator * (Real fScalar) const
Quaternion operator- () const
bool operator== (const Quaternion &rhs) const
bool operator!= (const Quaternion &rhs) const
Real Dot (const Quaternion &rkQ) const
Real Norm () const
Real normalise (void)
 Normalises this quaternion, and returns the previous length.
Quaternion Inverse () const
Quaternion UnitInverse () const
Quaternion Exp () const
Quaternion Log () const
Vector3 operator * (const Vector3 &rkVector) const
Radian getRoll (void) const
 Calculate the local roll element of this quaternion.
Radian getPitch (void) const
 Calculate the local pitch element of this quaternion.
Radian getYaw (void) const
 Calculate the local yaw element of this quaternion.
bool equals (const Quaternion &rhs, const Radian &tolerance) const
 Equality with tolerance (tolerance is max angle difference).

Static Public Member Functions

static Quaternion Slerp (Real fT, const Quaternion &rkP, const Quaternion &rkQ, bool shortestPath=false)
static Quaternion SlerpExtraSpins (Real fT, const Quaternion &rkP, const Quaternion &rkQ, int iExtraSpins)
static void Intermediate (const Quaternion &rkQ0, const Quaternion &rkQ1, const Quaternion &rkQ2, Quaternion &rka, Quaternion &rkB)
static Quaternion Squad (Real fT, const Quaternion &rkP, const Quaternion &rkA, const Quaternion &rkB, const Quaternion &rkQ, bool shortestPath=false)
static Quaternion nlerp (Real fT, const Quaternion &rkP, const Quaternion &rkQ, bool shortestPath=false)

Static Public Attributes

static const Real ms_fEpsilon
static const Quaternion ZERO
static const Quaternion IDENTITY

Friends

_OgreExport friend Quaternion operator * (Real fScalar, const Quaternion &rkQ)
_OgreExport friend std::ostream & operator<< (std::ostream &o, const Quaternion &q)
 Function for writing to a stream.

Detailed Description

Implementation of a Quaternion, i.e.

a rotation around an axis.

Definition at line 49 of file OgreQuaternion.h.

Constructor & Destructor Documentation

Ogre::Quaternion::Quaternion (  Real  fW = 1.0,
Real  fX = 0.0,
Real  fY = 0.0,
Real  fZ = 0.0
) 
 

Definition at line 52 of file OgreQuaternion.h.

Ogre::Quaternion::Quaternion (  const Quaternion &  rkQ  ) 
 

Definition at line 61 of file OgreQuaternion.h.

References w, x, y, and z.

Ogre::Quaternion::Quaternion (  const Matrix3 &  rot  ) 
 

Construct a quaternion from a rotation matrix.

Definition at line 69 of file OgreQuaternion.h.

Ogre::Quaternion::Quaternion (  const Radian &  rfAngle,
const Vector3 &  rkAxis
) 
 

Construct a quaternion from an angle/axis.

Definition at line 74 of file OgreQuaternion.h.

Ogre::Quaternion::Quaternion (  const Vector3 &  xaxis,
const Vector3 &  yaxis,
const Vector3 &  zaxis
) 
 

Construct a quaternion from 3 orthonormal local axes.

Definition at line 85 of file OgreQuaternion.h.

Ogre::Quaternion::Quaternion (  const Vector3 *  akAxis  ) 
 

Construct a quaternion from 3 orthonormal local axes.

Definition at line 90 of file OgreQuaternion.h.

Ogre::Quaternion::Quaternion (  Real *  valptr  ) 
 

Construct a quaternion from 4 manual w/x/y/z values.

Definition at line 95 of file OgreQuaternion.h.

Member Function Documentation

Real Ogre::Quaternion::Dot (  const Quaternion &  rkQ  )  const
 

bool Ogre::Quaternion::equals (  const Quaternion &  rhs,
const Radian &  tolerance
)  const
 

Equality with tolerance (tolerance is max angle difference).

Quaternion Ogre::Quaternion::Exp (   )  const
 

void Ogre::Quaternion::FromAngleAxis (  const Radian &  rfAngle,
const Vector3 &  rkAxis
) 
 

Referenced by Ogre::Vector3::getRotationTo(), and Ogre::Vector3::randomDeviant().

void Ogre::Quaternion::FromAxes (  const Vector3 &  xAxis,
const Vector3 &  yAxis,
const Vector3 &  zAxis
) 
 

void Ogre::Quaternion::FromAxes (  const Vector3 *  akAxis  ) 
 

void Ogre::Quaternion::FromRotationMatrix (  const Matrix3 &  kRot  ) 
 

Radian Ogre::Quaternion::getPitch (  void   )  const
 

Calculate the local pitch element of this quaternion.

Radian Ogre::Quaternion::getRoll (  void   )  const
 

Calculate the local roll element of this quaternion.

Radian Ogre::Quaternion::getYaw (  void   )  const
 

Calculate the local yaw element of this quaternion.

static void Ogre::Quaternion::Intermediate (  const Quaternion &  rkQ0,
const Quaternion &  rkQ1,
const Quaternion &  rkQ2,
Quaternion &  rka,
Quaternion &  rkB
)  [static]
 

Quaternion Ogre::Quaternion::Inverse (   )  const
 

Quaternion Ogre::Quaternion::Log (   )  const
 

static Quaternion Ogre::Quaternion::nlerp (  Real  fT,
const Quaternion &  rkP,
const Quaternion &  rkQ,
bool  shortestPath = false
)  [static]
 

Real Ogre::Quaternion::Norm (   )  const
 

Real Ogre::Quaternion::normalise (  void   ) 
 

Normalises this quaternion, and returns the previous length.

Referenced by Ogre::Vector3::getRotationTo().

Vector3 Ogre::Quaternion::operator * (  const Vector3 &  rkVector  )  const
 

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

Quaternion Ogre::Quaternion::operator * (  const Quaternion &  rkQ  )  const
 

bool Ogre::Quaternion::operator!= (  const Quaternion &  rhs  )  const
 

Definition at line 150 of file OgreQuaternion.h.

References Ogre::operator==().

Quaternion Ogre::Quaternion::operator+ (  const Quaternion &  rkQ  )  const
 

Quaternion Ogre::Quaternion::operator- (   )  const
 

Quaternion Ogre::Quaternion::operator- (  const Quaternion &  rkQ  )  const
 

Quaternion& Ogre::Quaternion::operator= (  const Quaternion &  rkQ  ) 
 

Definition at line 130 of file OgreQuaternion.h.

References w, x, y, and z.

bool Ogre::Quaternion::operator== (  const Quaternion &  rhs  )  const
 

Definition at line 145 of file OgreQuaternion.h.

References w, x, y, and z.

static Quaternion Ogre::Quaternion::Slerp (  Real  fT,
const Quaternion &  rkP,
const Quaternion &  rkQ,
bool  shortestPath = false
)  [static]
 

static Quaternion Ogre::Quaternion::SlerpExtraSpins (  Real  fT,
const Quaternion &  rkP,
const Quaternion &  rkQ,
int  iExtraSpins
)  [static]
 

static Quaternion Ogre::Quaternion::Squad (  Real  fT,
const Quaternion &  rkP,
const Quaternion &  rkA,
const Quaternion &  rkB,
const Quaternion &  rkQ,
bool  shortestPath = false
)  [static]
 

void Ogre::Quaternion::ToAngleAxis (  Degree &  dAngle,
Vector3 &  rkAxis
)  const
 

Definition at line 104 of file OgreQuaternion.h.

void Ogre::Quaternion::ToAngleAxis (  Radian &  rfAngle,
Vector3 &  rkAxis
)  const
 

void Ogre::Quaternion::ToAxes (  Vector3 &  xAxis,
Vector3 &  yAxis,
Vector3 &  zAxis
)  const
 

void Ogre::Quaternion::ToAxes (  Vector3 *  akAxis  )  const
 

void Ogre::Quaternion::ToRotationMatrix (  Matrix3 &  kRot  )  const
 

Referenced by Ogre::Matrix4::Matrix4().

Quaternion Ogre::Quaternion::UnitInverse (   )  const
 

Vector3 Ogre::Quaternion::xAxis (  void   )  const
 

Get the local x-axis.

Vector3 Ogre::Quaternion::yAxis (  void   )  const
 

Get the local y-axis.

Vector3 Ogre::Quaternion::zAxis (  void   )  const
 

Get the local z-axis.

Friends And Related Function Documentation

_OgreExport friend Quaternion operator * (  Real  fScalar,
const Quaternion &  rkQ
)  [friend]
 

_OgreExport friend std::ostream& operator<< (  std::ostream &  o,
const Quaternion &  q
)  [friend]
 

Function for writing to a stream.

Outputs "Quaternion(w, x, y, z)" with w,x,y,z being the member values of the quaternion.

Definition at line 217 of file OgreQuaternion.h.

Member Data Documentation

const Quaternion Ogre::Quaternion::IDENTITY [static]
 

Definition at line 203 of file OgreQuaternion.h.

Referenced by Ogre::Vector3::getRotationTo(), and Ogre::BorderRenderable::getWorldOrientation().

const Real Ogre::Quaternion::ms_fEpsilon [static]
 

Definition at line 199 of file OgreQuaternion.h.

Real Ogre::Quaternion::val[4]
 

Definition at line 210 of file OgreQuaternion.h.

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

Real Ogre::Quaternion::w
 

Definition at line 208 of file OgreQuaternion.h.

Referenced by Ogre::Vector3::getRotationTo(), operator=(), operator==(), and Quaternion().

Real Ogre::Quaternion::x
 

Definition at line 208 of file OgreQuaternion.h.

Referenced by Ogre::Vector3::getRotationTo(), operator=(), operator==(), and Quaternion().

Real Ogre::Quaternion::y
 

Definition at line 208 of file OgreQuaternion.h.

Referenced by Ogre::Vector3::getRotationTo(), operator=(), operator==(), and Quaternion().

Real Ogre::Quaternion::z
 

Definition at line 208 of file OgreQuaternion.h.

Referenced by Ogre::Vector3::getRotationTo(), operator=(), operator==(), and Quaternion().

const Quaternion Ogre::Quaternion::ZERO [static]
 

Definition at line 202 of file OgreQuaternion.h.

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

Copyright © 2000-2005 by The OGRE Team
Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 2.5 License.
Last modified Sun Jan 21 10:04:09 2007