Quaternion - Double. More...

#include <quaternion.h>

Inheritance diagram for clan::Quaterniond:

Public Member Functions
	Quaterniond ()

	Quaterniond (const Quaternionx< double > &copy)

	Quaterniond (const Mat4< double > &rotation_matrix)

	Quaterniond (double real, double i, double j, double k)

	Quaterniond (double real, const Vec3< double > &imag)

	Quaterniond (double euler_x, double euler_y, double euler_z, AngleUnit unit, EulerOrder order)

	Quaterniond (const Vec3< double > &euler, AngleUnit unit, EulerOrder order)

	Quaterniond (const Angle &euler_x, const Angle &euler_y, const Angle &euler_z, EulerOrder order)

Attributes
Mat4< double >	to_matrix () const
	Convert the quaternion to a rotation matrix. More...

double	magnitude () const
	Get the quaternion magnitude. More...

Operators
Quaternionx< double >	operator* (const Quaternionx< double > &mult) const
	Multiplication operator. More...

Quaternionx< double >	operator* (const Mat4< double > &matrix) const

bool	operator< (const Quaternionx< double > &other) const
	Less operator. More...

bool	operator> (const Quaternionx< double > &other) const
	Greater operator. More...

bool	operator<= (const Quaternionx< double > &other) const
	Less equal operator. More...

bool	operator>= (const Quaternionx< double > &other) const
	Greater equal operator. More...

bool	operator== (const Quaternionx< double > &other) const
	Equal operator. More...

bool	operator!= (const Quaternionx< double > &other) const
	Not equal operator. More...

Static Public Member Functions
static Quaternionx< double >	axis_angle (const Angle &angle, const Vec3f &axis)

static Quaternionx< double >	lerp (const Quaternionx< double > &quaternion_initial, const Quaternionx< double > &quaternion_final, doublelerp_time)
	Linear Quaternion Interpolation. More...

static Quaternionx< double >	multiply (const Quaternionx< double > &quaternion_1, const Quaternionx< double > &quaternion_2)

static Quaternionx< double >	rotation_between (Vec3< double > v0, Vec3< double > v1)
	Calculates the shortest arc quaternion between two vectors. More...

static Quaternionx< double >	rotation_between (Vec4< double > v0, Vec4< double > v1)
	Calculates the shortest arc quaternion between two vectors. More...

static Quaternionx< double >	slerp (const Quaternionx< double > &quaternion_initial, const Quaternionx< double > &quaternion_final, doubleslerp_time)
	Spherical Quaternion Interpolation. More...

Public Attributes
union {
Type clan::Quaternionx< Type >::i

Type clan::Quaternionx< Type >::x

};
	The imaginary vector part. More...

union {
Type clan::Quaternionx< Type >::j

Type clan::Quaternionx< Type >::y

};

union {
Type clan::Quaternionx< Type >::k

Type clan::Quaternionx< Type >::z

};

double	i

double	j

double	k

double	w
	The real scalar part. More...

double	x

double	y

double	z

Operations
void	set (doubleeuler_x, doubleeuler_y, doubleeuler_z, AngleUnit unit, EulerOrder order)

void	set (const Vec3< double > &euler, AngleUnit unit, EulerOrder order)

void	set (const Angle &euler_x, const Angle &euler_y, const Angle &euler_z, EulerOrder order)

Quaternionx< double > &	rotate (const Angle &angle, const Vec3f &axis)

Quaternionx< double > &	rotate (const Angle &euler_x, const Angle &euler_y, const Angle &euler_z, EulerOrder order)

Quaternionx< double > &	normalize ()
	Normalizes this quaternion. More...

Quaternionx< double > &	inverse ()
	Inverse this quaternion. More...

Vec3< double >	rotate_vector (const Vec3< double > &v) const
	Rotates vector by this quaternion. More...

Vec4< double >	rotate_vector (const Vec4< double > &v) const

static Quaternionx< double >	normalize (Quaternionx< double > q)
	Normalizes this quaternion. More...

static Quaternionx< double >	inverse (Quaternionx< double > q)
	Inverse this quaternion. More...

Detailed Description

Quaternion - Double.

Member Function Documentation

static Quaternionx<double > clan::Quaternionx< double >::axis_angle	(	const Angle &	angle,
		const Vec3f &	axis
	)

staticinherited

Quaternionx<double >& clan::Quaternionx< double >::inverse ( )

inherited

Inverse this quaternion.

This is the same as the conjugate of a quaternion

Returns: reference to this object

static Quaternionx<double > clan::Quaternionx< double >::inverse ( Quaternionx< double > q )

inlinestaticinherited

Inverse this quaternion.

This is the same as the conjugate of a quaternion

Returns: reference to this object

static Quaternionx<double > clan::Quaternionx< double >::lerp	(	const Quaternionx< double > &	quaternion_initial,
		const Quaternionx< double > &	quaternion_final,
		double	lerp_time
	)

staticinherited

Linear Quaternion Interpolation.

Parameters

quaternion_initial	= Source quaternion
quaternion_final	= Destination quaternion
lerp_time	= Time in the range of 0.0 to 1.0

double clan::Quaternionx< double >::magnitude ( ) const

inherited

Get the quaternion magnitude.

static Quaternionx<double > clan::Quaternionx< double >::multiply	(	const Quaternionx< double > &	quaternion_1,
		const Quaternionx< double > &	quaternion_2
	)

staticinherited

Quaternionx<double >& clan::Quaternionx< double >::normalize ( )

inherited

Normalizes this quaternion.

Returns: reference to this object

static Quaternionx<double > clan::Quaternionx< double >::normalize ( Quaternionx< double > q )

inlinestaticinherited

Normalizes this quaternion.

Returns: reference to this object

bool clan::Quaternionx< double >::operator!= ( const Quaternionx< double > & other ) const

inlineinherited

Not equal operator.

Quaternionx<double > clan::Quaternionx< double >::operator* ( const Quaternionx< double > & mult ) const

inlineinherited

Multiplication operator.

Quaternionx<double > clan::Quaternionx< double >::operator* ( const Mat4< double > & matrix ) const

inherited

bool clan::Quaternionx< double >::operator< ( const Quaternionx< double > & other ) const

inlineinherited

Less operator.

bool clan::Quaternionx< double >::operator<= ( const Quaternionx< double > & other ) const

inlineinherited

Less equal operator.

bool clan::Quaternionx< double >::operator== ( const Quaternionx< double > & other ) const

inlineinherited

Equal operator.

bool clan::Quaternionx< double >::operator> ( const Quaternionx< double > & other ) const

inlineinherited

Greater operator.

bool clan::Quaternionx< double >::operator>= ( const Quaternionx< double > & other ) const

inlineinherited

Greater equal operator.

Quaternionx<double >& clan::Quaternionx< double >::rotate	(	const Angle &	angle,
		const Vec3f &	axis
	)

inherited

Quaternionx<double >& clan::Quaternionx< double >::rotate	(	const Angle &	euler_x,
		const Angle &	euler_y,
		const Angle &	euler_z,
		EulerOrder	order
	)

inherited

Vec3<double > clan::Quaternionx< double >::rotate_vector ( const Vec3< double > & v ) const

inherited

Rotates vector by this quaternion.

Parameters

v	= Vertex to rotate

Returns: rotated vector

Vec4<double > clan::Quaternionx< double >::rotate_vector ( const Vec4< double > & v ) const

inherited

static Quaternionx<double > clan::Quaternionx< double >::rotation_between	(	Vec3< double >	v0,
		Vec3< double >	v1
	)

staticinherited

Calculates the shortest arc quaternion between two vectors.

static Quaternionx<double > clan::Quaternionx< double >::rotation_between	(	Vec4< double >	v0,
		Vec4< double >	v1
	)

staticinherited

Calculates the shortest arc quaternion between two vectors.

void clan::Quaternionx< double >::set	(	double	euler_x,
		double	euler_y,
		double	euler_z,
		AngleUnit	unit,
		EulerOrder	order
	)

inherited

void clan::Quaternionx< double >::set	(	const Vec3< double > &	euler,
		AngleUnit	unit,
		EulerOrder	order
	)

inherited

void clan::Quaternionx< double >::set	(	const Angle &	euler_x,
		const Angle &	euler_y,
		const Angle &	euler_z,
		EulerOrder	order
	)

inherited

static Quaternionx<double > clan::Quaternionx< double >::slerp	(	const Quaternionx< double > &	quaternion_initial,
		const Quaternionx< double > &	quaternion_final,
		double	slerp_time
	)

staticinherited

Spherical Quaternion Interpolation.

Parameters

quaternion_initial	= Source quaternion
quaternion_final	= Destination quaternion
slerp_time	= Time in the range of 0.0 to 1.0

Mat4<double > clan::Quaternionx< double >::to_matrix ( ) const

inherited

Convert the quaternion to a rotation matrix.

This function assumes that the quarternion is normalized.

Member Data Documentation

union { ... }

The imaginary vector part.

union { ... }

double clan::Quaternionx< double >::i

inherited

double clan::Quaternionx< double >::j

inherited

double clan::Quaternionx< double >::k

inherited

double clan::Quaternionx< double >::w

inherited

The real scalar part.

double clan::Quaternionx< double >::x

inherited

double clan::Quaternionx< double >::y

inherited

double clan::Quaternionx< double >::z

inherited

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

quaternion.h

Public Member Functions

Static Public Member Functions

Public Attributes

Operations

Detailed Description

Member Function Documentation

Member Data Documentation