A quaternion class. More...

#include "murl_math_quaternion.h"

Public Types
enum	Component { R , I , J , K , NUM_COMPONENTS }
	Enumeration of the components raw data index. More...

enum	ComponentMask { MASK_NONE , MASK_R , MASK_I , MASK_J , MASK_K , MASK_IJK , MASK_ALL }
	Enumeration of the components' bit masks. More...

enum	PredefinedType { UNINITIALIZED , IDENTITY }
	Enumeration of the predefined initialization types for constructing a Quaternion(PredefinedType type). More...

using	ValueType = DataType
	The template parameter value type.

Public Member Functions
	Quaternion ()
	The default constructor.

	Quaternion (DataType vr, DataType vi, DataType vj, DataType vk)
	Constructor to initialize a quaternion with given component values. More...

	Quaternion (const Vector< DataType > &v)
	Constructor to initialize a quaternion from a given 4-vector containing a normalized rotation axis in its x,y and z components, and a rotation angle in its w component. More...

	Quaternion (DataType angle, const Vector< DataType > &axis)
	Constructor to initialize a quaternion from a given rotation angle and a normalized axis vector. More...

	Quaternion (const Matrix< DataType > &m)
	Constructor to initialize a quaternion from the rotation component of a given 4x4 matrix. More...

	Quaternion (PredefinedType type)
	Constructor to create a quaternion from a predefined type. More...

template<class DataType2 >
	Quaternion (const Quaternion< DataType2 > &q)
	The copy constructor using a quaternion of different type. More...

const DataType &	operator[] (UInt32 index) const
	Get a const reference to one of the 4 component values. More...

DataType &	operator[] (UInt32 index)
	Get a reference to one of the 4 component values. More...

const DataType *	GetPointer () const
	Get a const pointer to the raw data. More...

DataType *	GetPointer ()
	Get a pointer to the raw data. More...

void	Set (const Matrix< DataType > &m)
	Set the quaternion from the rotation component of a given 4D matrix. More...

Quaternion &	operator= (const Vector< DataType > &v)
	Assignment operator to convert a 4D vector to a 4D quaternion. More...

Quaternion &	operator= (const Matrix< DataType > &m)
	Assignment operator to convert a 4D matrix to a 4D quaternion. More...

Quaternion &	operator+= (const Quaternion &q)
	In-place addition operator. More...

Quaternion &	operator*= (const Quaternion &q)
	In-place subtraction operator. More...

Quaternion &	operator*= (const Vector< DataType > &v)
	In-place quaternion-vector multiplication operator. More...

Quaternion &	operator*= (DataType d)
	In-place multiplication operator (scaling). More...

Quaternion	operator+ (const Quaternion &rhs) const
	Addition operator. More...

Quaternion	operator* (const Quaternion &rhs) const
	Quaternion-quaternion multiplication operator. More...

Quaternion	operator* (const Vector< DataType > &rhs) const
	Quaternion-vector multiplication operator. More...

Quaternion	operator* (DataType rhs) const
	Multiplication (scaling) operator. More...

void	Clear ()
	Clear all components of the quaternion instance. More...

void	Set (const Quaternion &q)
	Copy the content of a source quaternion to the quaternion instance. More...

void	Set (DataType vr, DataType vi, DataType vj, DataType vk)
	Set all components of the quaternion instance to a set of given component values. More...

void	InvertSelf ()
	In-place inversion.

void	AddSelf (const Quaternion &q)
	In-place addition. More...

void	MultiplySelf (const Quaternion &q)
	In-place Quaternion-quaternion multiplication. More...

void	MultiplySelf (const Vector< DataType > &v)
	In-place Quaternion-vector multiplication. More...

void	MultiplySelf (DataType d)
	In-place multiplication (scaling). More...

void	NormalizeSelf ()
	In-place normalization of the quaternion instance.

Quaternion	Invert () const
	Get the inverse of a quaternion. More...

Quaternion	Add (const Quaternion &q) const
	Get the addition of a quaternion. More...

Quaternion	Multiply (const Quaternion &q) const
	Get the multiplication with a quaternion. More...

Quaternion	Multiply (const Vector< DataType > &v) const
	Get the multiplication with a vector. More...

Quaternion	Multiply (DataType d) const
	Get the multiplication (scaling). More...

Quaternion	Normalize () const
	Get the normalization of the quaternion instance. More...

Quaternion	Interpolate (const Quaternion &q, DataType t, Bool spherical) const
	Interpolate between this instance and a second quaternion. More...

Bool	IsEqual (const Quaternion &q) const
	Check if the quaternion instance is equal to a given second quaternion. More...

Bool	IsEqual (const Quaternion &q, DataType epsilon) const
	Check if the quaternion instance is equal to a given second quaternion. More...

String	ToString () const
	Get the string representation of the object. More...

SInt32	GetCount () const
	Get the number of elements in the object. More...

Public Attributes
union {
DataType mComponents [NUM_COMPONENTS]
	The components data array.

struct {
DataType r
	The R component.

DataType i
	The I component.

DataType j
	The J component.

DataType k
	The K component.

}
	The components member struct.

};
	The components storage union overlaps the raw data array mComponents and the component structure.

Friends
bool	operator== (const Quaternion< DataType > &lhs, const Quaternion< DataType > &rhs)
	Equal to comparison operator. More...

bool	operator!= (const Quaternion< DataType > &lhs, const Quaternion< DataType > &rhs)
	Not equal to comparison operator. More...

Detailed Description

template<class DataType>
class Murl::Math::Quaternion< DataType >

A quaternion class.

Member Enumeration Documentation

◆ Component

template<class DataType >

enum Murl::Math::Quaternion::Component

Enumeration of the components raw data index.

The components can be accessed by using the [] operator.

Enumerator
R	The index to the R component.
I	The index to the I component.
J	The index to the J component.
K	The index to the K component.
NUM_COMPONENTS	The number of components.

◆ ComponentMask

template<class DataType >

enum Murl::Math::Quaternion::ComponentMask

Enumeration of the components' bit masks.

Enumerator
MASK_NONE	No component.
MASK_R	R component mask.
MASK_I	I component mask.
MASK_J	J component mask.
MASK_K	K component mask.
MASK_IJK	Component mask for I, J and K (imaginary part)
MASK_ALL	All components.

◆ PredefinedType

template<class DataType >

enum Murl::Math::Quaternion::PredefinedType

Enumeration of the predefined initialization types for constructing a Quaternion(PredefinedType type).

Enumerator
UNINITIALIZED	Create an uninitialized instance.
IDENTITY	Initialize with the identity {1, 0, 0, 0}.

Constructor & Destructor Documentation

◆ Quaternion() [1/6]

template<class DataType >

Murl::Math::Quaternion< DataType >::Quaternion	(	DataType	vr,
		DataType	vi,
		DataType	vj,
		DataType	vk
	)

inline

Constructor to initialize a quaternion with given component values.

Parameters

vr	The r component.
vi	The i component.
vj	The j component.
vk	The k component.

◆ Quaternion() [2/6]

template<class DataType >

Murl::Math::Quaternion< DataType >::Quaternion ( const Vector< DataType > & v )

inline

Constructor to initialize a quaternion from a given 4-vector containing a normalized rotation axis in its x,y and z components, and a rotation angle in its w component.

Parameters

v	The vector.

References Murl::Math::Cos(), Murl::Math::Quaternion< DataType >::i, Murl::Math::Quaternion< DataType >::j, Murl::Math::Quaternion< DataType >::k, and Murl::Math::Sin().

◆ Quaternion() [3/6]

template<class DataType >

Murl::Math::Quaternion< DataType >::Quaternion	(	DataType	angle,
		const Vector< DataType > &	axis
	)

inline

Constructor to initialize a quaternion from a given rotation angle and a normalized axis vector.

Parameters

angle	The rotation angle.
axis	The normalized axis vector.

References Murl::Math::Cos(), Murl::Math::Quaternion< DataType >::i, Murl::Math::Quaternion< DataType >::j, Murl::Math::Quaternion< DataType >::k, Murl::Math::Sin(), Murl::Math::Vector< DataType >::x, Murl::Math::Vector< DataType >::y, and Murl::Math::Vector< DataType >::z.

◆ Quaternion() [4/6]

template<class DataType >

Murl::Math::Quaternion< DataType >::Quaternion ( const Matrix< DataType > & m )

inline

Constructor to initialize a quaternion from the rotation component of a given 4x4 matrix.

Parameters

m	The matrix.

References Murl::Math::Quaternion< DataType >::Set().

◆ Quaternion() [5/6]

template<class DataType >

Murl::Math::Quaternion< DataType >::Quaternion ( PredefinedType type )

inline

Constructor to create a quaternion from a predefined type.

Parameters

type	The predefined type.

References Murl::Math::Quaternion< DataType >::i, Murl::Math::Quaternion< DataType >::IDENTITY, Murl::Math::Quaternion< DataType >::j, Murl::Math::Quaternion< DataType >::k, and Murl::Math::Quaternion< DataType >::UNINITIALIZED.

◆ Quaternion() [6/6]

template<class DataType >

template<class DataType2 >

Murl::Math::Quaternion< DataType >::Quaternion ( const Quaternion< DataType2 > & q )

inline

The copy constructor using a quaternion of different type.

Parameters

q	The quaternion to copy.

Member Function Documentation

◆ operator[]() [1/2]

template<class DataType >

const DataType& Murl::Math::Quaternion< DataType >::operator[] ( UInt32 index ) const

inline

Get a const reference to one of the 4 component values.

Parameters

index The component index, see enum Component.

Returns: The component value const reference.

◆ operator[]() [2/2]

template<class DataType >

DataType& Murl::Math::Quaternion< DataType >::operator[] ( UInt32 index )

inline

Get a reference to one of the 4 component values.

Parameters

index The component index, see enum Component.

Returns: The component value reference.

◆ GetPointer() [1/2]

template<class DataType >

const DataType* Murl::Math::Quaternion< DataType >::GetPointer ( ) const

inline

Get a const pointer to the raw data.

Returns: Const pointer to the raw data.

References Murl::Math::Quaternion< DataType >::mComponents.

◆ GetPointer() [2/2]

template<class DataType >

DataType* Murl::Math::Quaternion< DataType >::GetPointer ( )

inline

Get a pointer to the raw data.

Returns: Pointer to the raw data.

References Murl::Math::Quaternion< DataType >::mComponents.

◆ Set() [1/3]

template<class DataType >

void Murl::Math::Quaternion< DataType >::Set ( const Matrix< DataType > & m )

inline

Set the quaternion from the rotation component of a given 4D matrix.

Parameters

m	The input matrix.

Referenced by Murl::Math::Quaternion< DataType >::AddSelf(), Murl::Math::Quaternion< DataType >::InvertSelf(), Murl::Math::Quaternion< DataType >::MultiplySelf(), Murl::Math::Quaternion< DataType >::operator=(), and Murl::Math::Quaternion< DataType >::Quaternion().

◆ operator=() [1/2]

template<class DataType >

Quaternion& Murl::Math::Quaternion< DataType >::operator= ( const Vector< DataType > & v )

inline

Assignment operator to convert a 4D vector to a 4D quaternion.

Parameters

v	The vector to convert.

Returns: The object itself.

References Murl::Math::Quaternion< DataType >::i, Murl::Math::Quaternion< DataType >::j, and Murl::Math::Quaternion< DataType >::k.

◆ operator=() [2/2]

template<class DataType >

Quaternion& Murl::Math::Quaternion< DataType >::operator= ( const Matrix< DataType > & m )

inline

Assignment operator to convert a 4D matrix to a 4D quaternion.

Parameters

m	The matrix to convert.

Returns: The object itself.

References Murl::Math::Quaternion< DataType >::Set().

◆ operator+=()

template<class DataType >

Quaternion& Murl::Math::Quaternion< DataType >::operator+= ( const Quaternion< DataType > & q )

inline

In-place addition operator.

Parameters

q	The quaternion to add.

Returns: The object itself.

References Murl::Math::Quaternion< DataType >::AddSelf().

◆ operator*=() [1/3]

template<class DataType >

Quaternion& Murl::Math::Quaternion< DataType >::operator*= ( const Quaternion< DataType > & q )

inline

In-place subtraction operator.

Parameters

q	The quaternion to subtract.

Returns: The object itself.

References Murl::Math::Quaternion< DataType >::MultiplySelf().

◆ operator*=() [2/3]

template<class DataType >

Quaternion& Murl::Math::Quaternion< DataType >::operator*= ( const Vector< DataType > & v )

inline

In-place quaternion-vector multiplication operator.

Parameters

v	The vector to multiply.

Returns: The object itself.

References Murl::Math::Quaternion< DataType >::MultiplySelf().

◆ operator*=() [3/3]

template<class DataType >

Quaternion& Murl::Math::Quaternion< DataType >::operator*= ( DataType d )

inline

In-place multiplication operator (scaling).

Parameters

d	The value to multiply.

Returns: The object itself.

References Murl::Math::Quaternion< DataType >::MultiplySelf().

◆ operator+()

template<class DataType >

Quaternion Murl::Math::Quaternion< DataType >::operator+ ( const Quaternion< DataType > & rhs ) const

inline

Addition operator.

Parameters

rhs	The right hand side quaternion.

Returns: The added quaternion.

References Murl::Math::Quaternion< DataType >::Add().

◆ operator*() [1/3]

template<class DataType >

Quaternion Murl::Math::Quaternion< DataType >::operator* ( const Quaternion< DataType > & rhs ) const

inline

Quaternion-quaternion multiplication operator.

Parameters

rhs	The right hand side quaternion.

Returns: The multiplied quaternion.

References Murl::Math::Quaternion< DataType >::Multiply().

◆ operator*() [2/3]

template<class DataType >

Quaternion Murl::Math::Quaternion< DataType >::operator* ( const Vector< DataType > & rhs ) const

inline

Quaternion-vector multiplication operator.

Parameters

rhs	The right hand side vector.

Returns: The multiplied quaternion.

References Murl::Math::Quaternion< DataType >::Multiply().

◆ operator*() [3/3]

template<class DataType >

Quaternion Murl::Math::Quaternion< DataType >::operator* ( DataType rhs ) const

inline

Multiplication (scaling) operator.

Parameters

rhs	The right hand side value.

Returns: The multiplied quaternion.

References Murl::Math::Quaternion< DataType >::Multiply().

◆ Clear()

template<class DataType >

void Murl::Math::Quaternion< DataType >::Clear ( )

inline

Clear all components of the quaternion instance.

Set all components to default constructor of data type.

References Murl::Math::Quaternion< DataType >::i, Murl::Math::Quaternion< DataType >::j, and Murl::Math::Quaternion< DataType >::k.

◆ Set() [2/3]

template<class DataType >

void Murl::Math::Quaternion< DataType >::Set ( const Quaternion< DataType > & q )

inline

Copy the content of a source quaternion to the quaternion instance.

Parameters

q	The quaternion to copy from.

References Murl::Math::Quaternion< DataType >::i, Murl::Math::Quaternion< DataType >::j, and Murl::Math::Quaternion< DataType >::k.

◆ Set() [3/3]

template<class DataType >

void Murl::Math::Quaternion< DataType >::Set	(	DataType	vr,
		DataType	vi,
		DataType	vj,
		DataType	vk
	)

inline

Set all components of the quaternion instance to a set of given component values.

Parameters

vr	The x-component value to set.
vi	The y-component value to set.
vj	The z-component value to set.
vk	The w-component value to set.

References Murl::Math::Quaternion< DataType >::i, Murl::Math::Quaternion< DataType >::j, and Murl::Math::Quaternion< DataType >::k.

◆ AddSelf()

template<class DataType >

void Murl::Math::Quaternion< DataType >::AddSelf ( const Quaternion< DataType > & q )

inline

In-place addition.

Parameters

q	The quaternion to add.

References Murl::Math::Quaternion< DataType >::Add(), and Murl::Math::Quaternion< DataType >::Set().

Referenced by Murl::Math::Quaternion< DataType >::operator+=().

◆ MultiplySelf() [1/3]

template<class DataType >

void Murl::Math::Quaternion< DataType >::MultiplySelf ( const Quaternion< DataType > & q )

inline

In-place Quaternion-quaternion multiplication.

Parameters

q	The quaternion to multiply.

References Murl::Math::Quaternion< DataType >::Multiply(), and Murl::Math::Quaternion< DataType >::Set().

Referenced by Murl::Math::Quaternion< DataType >::operator*=().

◆ MultiplySelf() [2/3]

template<class DataType >

void Murl::Math::Quaternion< DataType >::MultiplySelf ( const Vector< DataType > & v )

inline

In-place Quaternion-vector multiplication.

Parameters

v	The vector to multiply.

References Murl::Math::Quaternion< DataType >::Multiply(), and Murl::Math::Quaternion< DataType >::Set().

◆ MultiplySelf() [3/3]

template<class DataType >

void Murl::Math::Quaternion< DataType >::MultiplySelf ( DataType d )

inline

In-place multiplication (scaling).

Parameters

d	The value to multiply.

References Murl::Math::Quaternion< DataType >::i, Murl::Math::Quaternion< DataType >::j, and Murl::Math::Quaternion< DataType >::k.

◆ Invert()

template<class DataType >

Quaternion Murl::Math::Quaternion< DataType >::Invert ( ) const

inline

Get the inverse of a quaternion.

This only works for normalized quaternions.

Returns: The inverted quaternion.

References Murl::Math::Quaternion< DataType >::i, Murl::Math::Quaternion< DataType >::j, Murl::Math::Quaternion< DataType >::k, and Murl::Math::Quaternion< DataType >::r.

Referenced by Murl::Math::Quaternion< DataType >::InvertSelf().

◆ Add()

template<class DataType >

Quaternion Murl::Math::Quaternion< DataType >::Add ( const Quaternion< DataType > & q ) const

inline

Get the addition of a quaternion.

Parameters

q	The quaternion to add.

Returns: The added quaternion.

References Murl::Math::Quaternion< DataType >::i, Murl::Math::Quaternion< DataType >::j, Murl::Math::Quaternion< DataType >::k, and Murl::Math::Quaternion< DataType >::r.

Referenced by Murl::Math::Quaternion< DataType >::AddSelf(), and Murl::Math::Quaternion< DataType >::operator+().

◆ Multiply() [1/3]

template<class DataType >

Quaternion Murl::Math::Quaternion< DataType >::Multiply ( const Quaternion< DataType > & q ) const

inline

Get the multiplication with a quaternion.

Parameters

q	The quaternion to multiply.

Returns: The multiplied quaternion.

References Murl::Math::Quaternion< DataType >::i, Murl::Math::Quaternion< DataType >::j, Murl::Math::Quaternion< DataType >::k, and Murl::Math::Quaternion< DataType >::r.

Referenced by Murl::Math::Quaternion< DataType >::MultiplySelf(), and Murl::Math::Quaternion< DataType >::operator*().

◆ Multiply() [2/3]

template<class DataType >

Quaternion Murl::Math::Quaternion< DataType >::Multiply ( const Vector< DataType > & v ) const

inline

Get the multiplication with a vector.

Parameters

v	The vector to multiply.

Returns: The multiplied quaternion.

References Murl::Math::Quaternion< DataType >::i, Murl::Math::Quaternion< DataType >::j, Murl::Math::Quaternion< DataType >::k, and Murl::Math::Quaternion< DataType >::r.

◆ Multiply() [3/3]

template<class DataType >

Quaternion Murl::Math::Quaternion< DataType >::Multiply ( DataType d ) const

inline

Get the multiplication (scaling).

Parameters

d	The value to multiply.

Returns: The multiplied quaternion.

References Murl::Math::Quaternion< DataType >::i, Murl::Math::Quaternion< DataType >::j, Murl::Math::Quaternion< DataType >::k, and Murl::Math::Quaternion< DataType >::r.

◆ Normalize()

template<class DataType >

Quaternion Murl::Math::Quaternion< DataType >::Normalize ( ) const

inline

Get the normalization of the quaternion instance.

Returns: The normalized quaternion.

References Murl::Math::Quaternion< DataType >::i, Murl::Math::Quaternion< DataType >::j, Murl::Math::Quaternion< DataType >::k, Murl::Math::Quaternion< DataType >::r, and Murl::Math::Sqrt().

◆ Interpolate()

template<class DataType >

Quaternion Murl::Math::Quaternion< DataType >::Interpolate	(	const Quaternion< DataType > &	q,
		DataType	t,
		Bool	spherical
	)		const

inline

Interpolate between this instance and a second quaternion.

For t=0.0, the result equals the first quaternion, and for t=1.0 the second one.

Parameters

q	The quaternion to interpolate to.
t	The interpolation factor.
spherical	If true, a spherical interpolation is applied. If false, nterpolation is performed in a linear way.

Returns: The interpolated quaternion.

References Murl::Math::ArcCos(), Murl::Math::Clamp(), Murl::Math::Quaternion< DataType >::i, Murl::Math::Quaternion< DataType >::j, Murl::Math::Quaternion< DataType >::k, Murl::Math::Quaternion< DataType >::r, and Murl::Math::Sin().

◆ IsEqual() [1/2]

template<class DataType >

Bool Murl::Math::Quaternion< DataType >::IsEqual ( const Quaternion< DataType > & q ) const

inline

Check if the quaternion instance is equal to a given second quaternion.

Compares all values within the default epsilon range Limits::Epsilon().

Parameters

q	The quaternion to compare.

Returns: true if equal to the compared quaternion.

◆ IsEqual() [2/2]

template<class DataType >

Bool Murl::Math::Quaternion< DataType >::IsEqual	(	const Quaternion< DataType > &	q,
		DataType	epsilon
	)		const

inline

Check if the quaternion instance is equal to a given second quaternion.

Compares all values within a given epsilon range.

Parameters

q	The quaternion to compare.
epsilon	The epsilon to compare.

Returns: true if equal to the compared quaternion.

References Murl::Math::Abs(), Murl::Math::Quaternion< DataType >::i, Murl::Math::Quaternion< DataType >::j, and Murl::Math::Quaternion< DataType >::k.

◆ ToString()

template<class DataType >

String Murl::Math::Quaternion< DataType >::ToString ( ) const

inline

Get the string representation of the object.

Returns: The string representation of the object.

References Murl::Math::Quaternion< DataType >::i, Murl::Math::Quaternion< DataType >::j, Murl::Math::Quaternion< DataType >::k, and Murl::Util::PrintToString().

◆ GetCount()

template<class DataType >

SInt32 Murl::Math::Quaternion< DataType >::GetCount ( ) const

inline

Get the number of elements in the object.

Returns: The number of elements in the object.

References Murl::Math::Quaternion< DataType >::NUM_COMPONENTS.

Friends And Related Function Documentation

◆ operator==

template<class DataType >

bool operator==	(	const Quaternion< DataType > &	lhs,
		const Quaternion< DataType > &	rhs
	)

friend

Equal to comparison operator.

Performs a test without an epsilon range, which can be used for detecting changes i.e. DoubleBuffer<Quaternion> class. To compare within an epsilon range use Quaternion::IsEqual().

Parameters

lhs	The left hand side quaternion to compare.
rhs	The right hand side quaternion to compare.

Returns: true if all components are exactly the same.

◆ operator!=

template<class DataType >

bool operator!=	(	const Quaternion< DataType > &	lhs,
		const Quaternion< DataType > &	rhs
	)

friend

Not equal to comparison operator.

Performs a test without an epsilon range, which can be used for detecting changes i.e. DoubleBuffer<Quaternion> class. To compare within an epsilon range use Quaternion::IsEqual().

Parameters

lhs	The left hand side quaternion to compare.
rhs	The right hand side quaternion to compare.

Returns: true if all components are not exactly the same.

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

murl_app_types.h
murl_math_quaternion.h

Public Types

Public Member Functions

Public Attributes

Friends

Detailed Description

template<class DataType> class Murl::Math::Quaternion< DataType >

Member Enumeration Documentation

◆ Component

◆ ComponentMask

◆ PredefinedType

Constructor & Destructor Documentation

◆ Quaternion() [1/6]

◆ Quaternion() [2/6]

◆ Quaternion() [3/6]

◆ Quaternion() [4/6]

◆ Quaternion() [5/6]

◆ Quaternion() [6/6]

Member Function Documentation

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ GetPointer() [1/2]

◆ GetPointer() [2/2]

◆ Set() [1/3]

◆ operator=() [1/2]

◆ operator=() [2/2]

◆ operator+=()

◆ operator*=() [1/3]

◆ operator*=() [2/3]

◆ operator*=() [3/3]

◆ operator+()

◆ operator*() [1/3]

◆ operator*() [2/3]

◆ operator*() [3/3]

◆ Clear()

◆ Set() [2/3]

◆ Set() [3/3]

◆ AddSelf()

◆ MultiplySelf() [1/3]

◆ MultiplySelf() [2/3]

◆ MultiplySelf() [3/3]

◆ Invert()

◆ Add()

◆ Multiply() [1/3]

◆ Multiply() [2/3]

◆ Multiply() [3/3]

◆ Normalize()

◆ Interpolate()

◆ IsEqual() [1/2]

◆ IsEqual() [2/2]

◆ ToString()

◆ GetCount()

Friends And Related Function Documentation

◆ operator==

◆ operator!=

template<class DataType>
class Murl::Math::Quaternion< DataType >