Untitled

using Godot;
using System;

public class BezierMovement : Spatial
{
    private float time = 0.0f;
    private float speed = 1.0f;  // Speed of the movement

    private Vector3 P0 = new Vector3(0, 0, 0);  // Start point
    private Vector3 P1 = new Vector3(5, 10, 0); // Control point
    private Vector3 P2 = new Vector3(10, 0, 0); // End point

    public override void _Process(float delta)
    {
        // Increment time
        time += delta * speed;

        // Clamp time between 0 and 1
        time = Mathf.Clamp(time, 0, 1);

        // Calculate the position on the Bezier curve
        Vector3 position = QuadraticBezier(time, P0, P1, P2);

        // Calculate direction vector by getting the derivative of the Bezier curve
        Vector3 direction = QuadraticBezierDerivative(time, P0, P1, P2).Normalized();

        // Create a basis (orientation) from the direction vector
        Basis basis = new Basis();
        basis = basis.LookingAt(position + direction, Vector3.Up);

        // Update the object's global transform with position and orientation
        GlobalTransform = new Transform(basis, position);
    }

    // Function to calculate a point on a quadratic Bezier curve
    private Vector3 QuadraticBezier(float t, Vector3 P0, Vector3 P1, Vector3 P2)
    {
        return (1 - t) * (1 - t) * P0 + 2 * (1 - t) * t * P1 + t * t * P2;
    }

    // Function to calculate the derivative of a quadratic Bezier curve
    private Vector3 QuadraticBezierDerivative(float t, Vector3 P0, Vector3 P1, Vector3 P2)
    {
        return 2 * (1 - t) * (P1 - P0) + 2 * t * (P2 - P1);
    }
}