fourdjs/rotation.js

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2023-07-29 02:06:34 +00:00
// hacky stuff for 4d rotations
// see https://math.stackexchange.com/questions/1402362/can-rotations-in-4d-be-given-an-explicit-matrix-form#1402376
import * as THREE from 'three';
function rotZW(theta) {
const ctheta = Math.cos(theta);
const stheta = Math.sin(theta);
return new THREE.Matrix4(
ctheta, -stheta, 0, 0,
stheta, ctheta, 0, 0,
0, 0, 1, 0,
0, 0, 0, 1
);
}
function rotYW(theta) {
const ctheta = Math.cos(theta);
const stheta = Math.sin(theta);
return new THREE.Matrix4(
ctheta, 0, -stheta, 0,
0, 1, 0, 0,
stheta, 0, ctheta, 0,
0, 0, 0, 1,
);
}
function rotYZ(theta) {
const ctheta = Math.cos(theta);
const stheta = Math.sin(theta);
return new THREE.Matrix4(
ctheta, 0, 0, -stheta,
0, 1, 0, 0,
0, 0, 1, 0,
stheta, 0, 0, ctheta,
);
}
function rotXW(theta) {
const ctheta = Math.cos(theta);
const stheta = Math.sin(theta);
return new THREE.Matrix4(
1, 0, 0, 0,
0, ctheta, -stheta, 0,
0, stheta, ctheta, 0,
0, 0, 0, 1
);
}
function rotXZ(theta) {
const ctheta = Math.cos(theta);
const stheta = Math.sin(theta);
return new THREE.Matrix4(
1, 0, 0, 0,
0, ctheta, 0, -stheta,
0, 0, 1, 0,
0, stheta, 0, ctheta,
);
}
function rotXY(theta) {
const ctheta = Math.cos(theta);
const stheta = Math.sin(theta);
return new THREE.Matrix4(
1, 0, 0, 0,
0, 1, 0, 0,
0, 0, ctheta, -stheta,
0, 0, stheta, ctheta,
);
}
export const rotfn = {
XY: rotXY,
XZ: rotXZ,
XW: rotXW,
YZ: rotYZ,
YW: rotYW,
ZW: rotZW,
};