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.
toString alias toString = as_string: 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

invert void invert(): Inverts the quaternion.
make_identity void make_identity(): 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.
opCast bool opCast(): 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.
rotate_axis Quaternion rotate_axis(real alpha, Vector!(qt, 3) axis): Rotates the current quaternion around an axis and returns this.
rotate_euler Quaternion rotate_euler(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.
to_axis_angle vec3 to_axis_angle(): Returns the quaternion as a vec3 (axis / angle representation).
to_matrix Matrix!(qt, rows, cols) to_matrix(): Returns the quaternion as matrix.

Properties

as_string string as_string [@property getter]: Returns the current vector formatted as string, useful for printing the quaternion.
get_ qt get_ [@property getter]: Undocumented in source. Be warned that the author may not have intended to support it.
identity Quaternion identity [@property getter]: Returns an identity quaternion (w=1, x=0, y=0, z=0).
inverse Quaternion inverse [@property getter]: Returns an inverted copy of the current quaternion.
isFinite bool isFinite [@property getter]: Returns true if all values are not nan and finite, otherwise false.
magnitude real magnitude [@property getter]: Returns the magnitude of the quaternion.
magnitude_squared real magnitude_squared [@property getter]: Returns the squared magnitude of the quaternion.
pitch real pitch [@property getter]: Returns the pitch.
roll real roll [@property getter]: Returns the roll.
set_ qt set_ [@property setter]: Undocumented in source. Be warned that the author may not have intended to support it.
value_ptr auto value_ptr [@property getter]: Returns a pointer to the quaternion in memory, it starts with the w coordinate.
yaw real yaw [@property getter]: Returns the yaw.

Static functions

axis_rotation Quaternion axis_rotation(real alpha, Vector!(qt, 3) axis): Returns a quaternion with applied rotation around an axis.
euler_rotation Quaternion euler_rotation(real roll, real pitch, real yaw): Creates a quaternion from an euler rotation.
from_matrix Quaternion from_matrix(Matrix!(qt, 3, 3) matrix): Creates a quaternion from a 3x3 matrix.
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

coord_to_index template coord_to_index(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

Properties

Static functions

Templates

Variables

Parameters

Meta

Source