Quaternion

this this(qt w_, qt x_, qt y_, qt z_)
this(qt w_, Vector!(qt, 3) vec)
this(Vector!(qt, 4) vec): Constructs the quaternion. Takes a 4-dimensional vector, where vector.x = the quaternions w coordinate, or a w coordinate of type qt and a 3-dimensional vector representing the imaginary part, or 4 values of type qt.

Members

Aliases

conjugate alias conjugate = invert: Undocumented in source.
conjugated alias conjugated = inverse: Undocumented in source.
ok deprecated alias ok = isFinite: Undocumented in source.
qt alias qt = type: Undocumented in source.
w alias w = get_!'w': Undocumented in source.
w alias w = set_!'w': Undocumented in source.
x alias x = get_!'x': Undocumented in source.
x alias x = set_!'x': Undocumented in source.
y alias y = get_!'y': Undocumented in source.
y alias y = set_!'y': Undocumented in source.
z alias z = get_!'z': Undocumented in source.
z alias z = set_!'z': Undocumented in source.

Functions

get_ qt get_(): Undocumented in source. Be warned that the author may not have intended to support it.
inverse Quaternion inverse(): Returns an inverted copy of the current quaternion.
invert void invert(): Inverts the quaternion.
isFinite bool isFinite(): Returns true if all values are not nan and finite, otherwise false.
magnitude real magnitude(): Returns the magnitude of the quaternion.
magnitudeSquared real magnitudeSquared(): Returns the squared magnitude of the quaternion.
makeIdentity void makeIdentity(): Makes the current quaternion an identity quaternion.
normalize void normalize(): Normalizes the current quaternion.
normalized Quaternion normalized(): Returns a normalized copy of the current quaternion.
opBinary Quaternion opBinary(Quaternion inp): Undocumented in source. Be warned that the author may not have intended to support it.
opBinary Quaternion opBinary(Quaternion inp): Undocumented in source. Be warned that the author may not have intended to support it.
opBinary Vector!(qt, 3) opBinary(Vector!(qt, 3) inp): Undocumented in source. Be warned that the author may not have intended to support it.
opBinary Quaternion opBinary(qt inp): Undocumented in source. Be warned that the author may not have intended to support it.
opBinaryRight auto opBinaryRight(T inp): Undocumented in source. Be warned that the author may not have intended to support it.
opCmp int opCmp(Quaternion qua): Undocumented in source. Be warned that the author may not have intended to support it.
opEquals bool opEquals(Quaternion qu): Undocumented in source. Be warned that the author may not have intended to support it.
opOpAssign void opOpAssign(Quaternion inp): Undocumented in source. Be warned that the author may not have intended to support it.
opOpAssign void opOpAssign(Quaternion inp): Undocumented in source. Be warned that the author may not have intended to support it.
opOpAssign void opOpAssign(qt inp): Undocumented in source. Be warned that the author may not have intended to support it.
pitch real pitch(): Returns the pitch.
ptr auto ptr(): Returns a pointer to the quaternion in memory, it starts with the w coordinate.
roll real roll(): Returns the roll.
rotateAxis Quaternion rotateAxis(real alpha, Vector!(qt, 3) axis): Rotates the current quaternion around an axis and returns this.
rotateEuler Quaternion rotateEuler(real heading, real attitude, real bank): Applies an euler rotation to the current quaternion and returns this.
rotateX Quaternion rotateX(real alpha): Rotates the current quaternion around the x-axis and returns this.
rotateY Quaternion rotateY(real alpha): Rotates the current quaternion around the y-axis and returns this.
rotateZ Quaternion rotateZ(real alpha): Rotates the current quaternion around the z-axis and returns this.
set_ void set_(qt value): Undocumented in source. Be warned that the author may not have intended to support it.
toAxisAngle vec3 toAxisAngle(): Returns the quaternion as a vec3 (axis / angle representation).
toHash size_t toHash(): Gets a hash of this item
toMatrix Matrix!(qt, rows, cols) toMatrix(): Returns the quaternion as matrix.
toString string toString(): Returns the current vector formatted as string, useful for printing the quaternion.
yaw real yaw(): Returns the yaw.

Static functions

axisRotation Quaternion axisRotation(real alpha, Vector!(qt, 3) axis): Returns a quaternion with applied rotation around an axis.
eulerRotation Quaternion eulerRotation(real roll, real pitch, real yaw): Creates a quaternion from an euler rotation.
fromMatrix Quaternion fromMatrix(Matrix!(qt, 3, 3) matrix): Creates a quaternion from a 3x3 matrix.
identity Quaternion identity(): Returns an identity quaternion (w=1, x=0, y=0, z=0).
lookRotation Quaternion lookRotation(vec3 forward, vec3 up): Makes a quaternion with the specified forward and upwards directions in a Unity compatible manner. Implementation from http://answers.unity3d.com/questions/467614/what-is-the-source-code-of-quaternionlookrotation.html
xRotation Quaternion xRotation(real alpha): Returns a quaternion with applied rotation around the x-axis.
yRotation Quaternion yRotation(real alpha): Returns a quaternion with applied rotation around the y-axis.
zRotation Quaternion zRotation(real alpha): Returns a quaternion with applied rotation around the z-axis.

Templates

coordToIndex template coordToIndex(char c): Undocumented in source.

Variables

quaternion qt[4] quaternion;: Holds the w, x, y and z coordinates.

Parameters

type: all values get stored as this type

Quaternion

Constructors

Members

Aliases

Functions

Static functions

Templates

Variables

Parameters

Meta

Source