Quaternion class for representing rotations. More...

#include <duckcpp/core/engine/quaternion.hpp>

Public Member Functions
	quaternion ()
	Default Constructor.

	quaternion (dcpp::float32_kt x, dcpp::float32_kt y, dcpp::float32_kt z, dcpp::float32_kt w)
	Constructor.

	quaternion (dcpp::float32_kt x, dcpp::float32_kt y, dcpp::float32_kt z)
	Constructor which converts Euler angles (radians) to a quaternion.

	quaternion (const vector3df &vec)
	Constructor which converts Euler angles (radians) to a quaternion.

	quaternion (const matrix4 &mat)
	Constructor which converts a matrix to a quaternion.

bool	operator== (const quaternion &other) const
	Equality operator.

bool	operator!= (const quaternion &other) const
	inequality operator

quaternion &	operator= (const matrix4 &other)
	Matrix assignment operator.

quaternion	operator+ (const quaternion &other) const
	Add operator.

quaternion	operator* (const quaternion &other) const

quaternion	operator* (dcpp::float32_kt s) const
	Multiplication operator with scalar.

quaternion &	*operator=** (dcpp::float32_kt s)
	Multiplication operator with scalar.

vector3df	operator* (const vector3df &v) const
	Multiplication operator.

quaternion &	*operator=** (const quaternion &other)
	Multiplication operator.

dcpp::float32_kt	dotProduct (const quaternion &other) const
	Calculates the dot product.

quaternion &	set (dcpp::float32_kt x, dcpp::float32_kt y, dcpp::float32_kt z, dcpp::float32_kt w)
	Sets new quaternion.

quaternion &	set (dcpp::float32_kt x, dcpp::float32_kt y, dcpp::float32_kt z)
	Sets new quaternion based on Euler angles (radians)

quaternion &	set (const dcpp::nub::vector3df &vec)
	Sets new quaternion based on Euler angles (radians)

quaternion &	set (const dcpp::nub::quaternion &quat)
	Sets new quaternion from other quaternion.

bool	equals (const quaternion &other, const dcpp::float32_kt tolerance=ROUNDING_ERROR_Float32) const
	returns if this quaternion equals the other one, taking floating point rounding errors into account

quaternion &	normalize ()
	Normalizes the quaternion.

matrix4	getMatrix () const
	Creates a matrix from this quaternion.

void	getMatrixFast (matrix4 &dest) const
	Faster method to create a rotation matrix, you should normalize the quaternion before!

void	getMatrix (matrix4 &dest, const dcpp::nub::vector3df &translation=dcpp::nub::vector3df()) const
	Creates a matrix from this quaternion.

void	getMatrixCenter (matrix4 &dest, const dcpp::nub::vector3df &center, const dcpp::nub::vector3df &translation) const

void	getMatrix_transposed (matrix4 &dest) const
	Creates a matrix from this quaternion.

quaternion &	makeInverse ()
	Inverts this quaternion.

quaternion &	lerp (quaternion q1, quaternion q2, dcpp::float32_kt time)
	Set this quaternion to the linear interpolation between two quaternions.

quaternion &	lerpN (quaternion q1, quaternion q2, dcpp::float32_kt time)
	Set this quaternion to the linear interpolation between two quaternions and normalize the result.

quaternion &	slerp (quaternion q1, quaternion q2, dcpp::float32_kt time, dcpp::float32_kt threshold=.05f)
	Set this quaternion to the result of the spherical interpolation between two quaternions.

quaternion &	fromAngleAxis (dcpp::float32_kt angle, const vector3df &axis)
	Set this quaternion to represent a rotation from angle and axis.

void	toAngleAxis (dcpp::float32_kt &angle, dcpp::nub::vector3df &axis) const
	Fills an angle (radians) around an axis (unit vector)

void	toEuler (vector3df &euler) const
	Output this quaternion to an Euler angle (radians)

quaternion &	makeIdentity ()
	Set quaternion to identity.

quaternion &	rotationFromTo (const vector3df &from, const vector3df &to)
	Set quaternion to represent a rotation from one vector to another.

Public Attributes
dcpp::float32_kt	X
	Quaternion elements.

dcpp::float32_kt	Y

dcpp::float32_kt	Z

dcpp::float32_kt	W

Detailed Description

Quaternion class for representing rotations.

It provides cheap combinations and avoids gimbal locks. Also useful for interpolations.

Member Function Documentation

◆ fromAngleAxis()

quaternion & dcpp::nub::quaternion::fromAngleAxis	(	dcpp::float32_kt	angle,
		const vector3df &	axis
	)

inline

Set this quaternion to represent a rotation from angle and axis.

axis must be unit length, angle in radians

Axis must be unit length. The quaternion representing the rotation is q = cos(A/2)+sin(A/2)*(x*i+y*j+z*k).

Parameters

angle	Rotation Angle in radians.
axis	Rotation axis.

◆ getMatrix()

void dcpp::nub::quaternion::getMatrix	(	matrix4 &	dest,
		const dcpp::nub::vector3df &	center = `dcpp::nub::vector3df()`
	)		const

inline

Creates a matrix from this quaternion.

Creates a matrix from this quaternion

◆ getMatrixCenter()

void dcpp::nub::quaternion::getMatrixCenter	(	matrix4 &	dest,
		const dcpp::nub::vector3df &	center,
		const dcpp::nub::vector3df &	translation
	)		const

inline

Creates a matrix from this quaternion Rotate about a center point shortcut for dcpp::nub::quaternion q; q.rotationFromTo ( vin[i].Normal, forward ); q.getMatrixCenter ( lookat, center, newPos );

dcpp::nub::matrix4 m2; m2.setInverseTranslation ( center ); lookat *= m2;

dcpp::nub::matrix4 m3; m2.setTranslation ( newPos ); lookat *= m3;

Creates a matrix from this quaternion Rotate about a center point shortcut for dcpp::nub::quaternion q; q.rotationFromTo(vin[i].Normal, forward); q.getMatrix(lookat, center);

dcpp::nub::matrix4 m2; m2.setInverseTranslation(center); lookat *= m2;

◆ lerp()

quaternion & dcpp::nub::quaternion::lerp	(	quaternion	q1,
		quaternion	q2,
		dcpp::float32_kt	time
	)

inline

Set this quaternion to the linear interpolation between two quaternions.

NOTE: lerp result is not a normalized quaternion. In most cases you will want to use lerpN instead as most other quaternion functions expect to work with a normalized quaternion.

Parameters

q1	First quaternion to be interpolated.
q2	Second quaternion to be interpolated.
time	Progress of interpolation. For time=0 the result is q1, for time=1 the result is q2. Otherwise interpolation between q1 and q2. Result is not normalized.

◆ lerpN()

quaternion & dcpp::nub::quaternion::lerpN	(	quaternion	q1,
		quaternion	q2,
		dcpp::float32_kt	time
	)

inline

Set this quaternion to the linear interpolation between two quaternions and normalize the result.

Parameters

q1	First quaternion to be interpolated.
q2	Second quaternion to be interpolated.
time	Progress of interpolation. For time=0 the result is q1, for time=1 the result is q2. Otherwise interpolation between q1 and q2. Result is normalized.

◆ operator*()

quaternion dcpp::nub::quaternion::operator* ( const quaternion & other ) const

inline

Multiplication operator Be careful, unfortunately the operator order here is opposite of that in PMatrix4::operator*

◆ slerp()

quaternion & dcpp::nub::quaternion::slerp	(	quaternion	q1,
		quaternion	q2,
		dcpp::float32_kt	time,
		dcpp::float32_kt	threshold = `.05f`
	)

inline

Set this quaternion to the result of the spherical interpolation between two quaternions.

Parameters

q1	First quaternion to be interpolated.
q2	Second quaternion to be interpolated.
time	Progress of interpolation. For time=0 the result is q1, for time=1 the result is q2. Otherwise interpolation between q1 and q2.
threshold	To avoid inaccuracies at the end (time=1) the interpolation switches to linear interpolation at some point. This value defines how much of the remaining interpolation will be calculated with lerp. Everything from 1-threshold up will be linear interpolation.

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

include/duckcpp/core/engine/quaternion.hpp

Public Member Functions

Public Attributes

Detailed Description

Member Function Documentation

◆ fromAngleAxis()

◆ getMatrix()

◆ getMatrixCenter()

◆ lerp()

◆ lerpN()

◆ operator*()

◆ slerp()