Quaternion class

Note

A class that represents the four elements x, y, z, and w of a quaternion.

---

class definition

class Quaternion
{
     public float x, y, z, w;

     public Quaternion()
     public Matrix GetMatrix()
}

Quaternion utility functions

makeQuaternion

Quaternion makeQuaternion(float x, float y, float z, float w)

global function. Generate a quaternion by specifying 4 elements x, y, z, w.

makeQuaternionMul

Quaternion makeQuaternionMul(Quaternion a, Quaternion b)

global function. Multiplies two quaternions and returns the result as a new quaternion.

makeQuaternionXRotation

Quaternion makeQuaternionXRotation(float rotateRadian)

global function. Returns the quaternion rotated by rotateRadian around the x-axis.

makeQuaternionYRotation

Quaternion makeQuaternionYRotation(float rotateRadian)

global function. Returns the quaternion rotated by rotateRadian around the y-axis.

makeQuaternionZRotation

Quaternion makeQuaternionZRotation(float rotateRadian)

global function. Returns the quaternion rotated by rotateRadian around the z-axis.

makeQuaternionEuler

Quaternion makeQuaternionEuler(float x, float y, float z)

global function. Generates a quaternion from the triplet of Euler angles x, y, z.

makeQuaternionFromTo

Quaternion makeQuaternionFromTo(Vector3 From, Vector3 To)

global function. Generates a quaternion from From vector to To vector.

makeQuaternionLook

Quaternion makeQuaternionLook(Vector3 LookView, Vector3 Up)

global function. Generates a quaternion which will face the LookView direction. The Up vector should be designated as (0.0f, 1.0f, 0.0f) unless intended.

---

Constructor

Quaternion()

public Quaternion()

Creates a quaternion instance with x, y, z elements set to 0 and w element set to 1.

member variables

float x

public float x

The x component of the quaternion.

float y

public float y

The y component of the quaternion.

float z

public float z

The z component of the quaternion.

float w

public float w

The w component of the quaternion.

methods

GetMatrix()

public Matrix GetMatrix()

Returns the quaternion as a 4x4 matrix.