Syntax

%quaternions/vectors% rotated around [the] [global] (x|y|z)(-| )axis by %number%

Description

Rotates a quaternion or vector around an axis a set amount of degrees, or around all 3 axes at once. Vectors can only be rotated around the global X/Y/Z axes, or an arbitrary vector axis. Quaternions are more flexible, allowing rotation around the global or local X/Y/Z axes, arbitrary vectors, or all 3 local axes at once. Global axes are the ones in the Minecraft world. Local axes are relative to how the quaternion is already oriented.

Note that rotating a quaternion around a vector results in a rotation around the local vector, so results may not be what you expect. For example, rotating around vector(1, 0, 0) is the same as rotating around the local X axis. The same applies to rotations by all three axes at once. In addition, rotating around all three axes of a quaternion/display at once will rotate in ZYX order, meaning the Z rotation will be applied first and the X rotation last.

Examples

set {_new} to {_quaternion} rotated around x axis by 10 degrees
set {_new} to {_vector} rotated around vector(1, 1, 1) by 45
set {_new} to {_quaternion} rotated by x 45, y 90, z 135