mirror of
https://github.com/sbrl/Minetest-WorldEditAdditions.git
synced 2024-11-16 04:53:00 +00:00
77 lines
No EOL
2.4 KiB
JavaScript
Executable file
77 lines
No EOL
2.4 KiB
JavaScript
Executable file
#!/usr/bin/env node
|
|
|
|
/**
|
|
* Rotate a given point around an origin point in 3d space.
|
|
* NOTE: This function is not as intuitive as it sounds.
|
|
* A whiteboard and a head for mathematics is recommended before using this
|
|
* function.
|
|
* @source GitHub Copilot
|
|
* @warning Not completely tested! Pending a thorough evaluation.
|
|
* @param {Vector3} origin The origin point to rotate around
|
|
* @param {Vector3} point The point to rotate.
|
|
* @param {Number} x Rotate this much around the X axis (yz plane), in radians.
|
|
* @param {Number} y Rotate this much around the Y axis (xz plane), in radians.
|
|
* @param {Number} z Rotate this much around the Z axis (xy plane), in radians.
|
|
* @return {Vector3} The rotated point.
|
|
*/
|
|
function rotate_point_3d(origin, point, x, y, z)
|
|
{
|
|
point = [...point];
|
|
point[0] = point[0] - origin[0];
|
|
point[1] = point[1] - origin[1];
|
|
point[2] = point[2] - origin[2];
|
|
|
|
// rotate around x
|
|
var x1 = point[0];
|
|
var y1 = point[1] * Math.cos(x) - point[2] * Math.sin(x);
|
|
var z1 = point[1] * Math.sin(x) + point[2] * Math.cos(x);
|
|
|
|
// rotate around y
|
|
var x2 = x1 * Math.cos(y) + z1 * Math.sin(y);
|
|
var y2 = y1;
|
|
var z2 = -x1 * Math.sin(y) + z1 * Math.cos(y);
|
|
|
|
// rotate around z
|
|
var x3 = x2 * Math.cos(z) - y2 * Math.sin(z);
|
|
var y3 = x2 * Math.sin(z) + y2 * Math.cos(z);
|
|
var z3 = z2;
|
|
|
|
return [x3+origin[0], y3+origin[1], z3+origin[2]];
|
|
}
|
|
|
|
function deg_to_rad(deg)
|
|
{
|
|
return deg * Math.PI / 180;
|
|
}
|
|
|
|
function point_to_string(point, decimal_places=3)
|
|
{
|
|
return "(x " + point[0].toFixed(decimal_places) + ", y " + point[1].toFixed(decimal_places) + ", z " + point[2].toFixed(decimal_places) + ")";
|
|
}
|
|
|
|
function do_test(origin, point, ...args) {
|
|
const result = rotate_point_3d(origin, point, ...args);
|
|
console.log(`ORIGIN`, point_to_string(origin), `\tPOINT`, point_to_string(point), `\tRESULT`, point_to_string(result));
|
|
}
|
|
|
|
do_test(
|
|
[1, 0, 0],
|
|
[5, 0, 0],
|
|
deg_to_rad(0), // rotate around x axis = yz plane
|
|
deg_to_rad(0), // rotate around y axis = xz plane
|
|
deg_to_rad(180) // rotate around z axis = xy plane
|
|
);
|
|
do_test(
|
|
[1, 0, 0],
|
|
[0, 1, 0],
|
|
deg_to_rad(0), // rotate around x axis = yz plane
|
|
deg_to_rad(0), // rotate around y axis = xz plane
|
|
deg_to_rad(180) // rotate around z axis = xy plane
|
|
);
|
|
do_test(
|
|
[10, 100, 0],
|
|
[0, 0, 0],
|
|
deg_to_rad(0), // rotate around x axis = yz plane
|
|
deg_to_rad(0), // rotate around y axis = xz plane
|
|
deg_to_rad(180) // rotate around z axis = xy plane
|
|
); |