BezierCurve.cs

using System.Collections.Generic;
using System.Runtime.CompilerServices;
using UnityEngine;

namespace Game.Curves
{
    public static class BezierCurve
    {
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        public static Vector3 Evaluate(
            float t,
            Vector3 a,
            Vector3 b,
            Vector3 c,
            Vector3 d
        )
        {
            var u = 1 - t;

            return
                1 * (u * u * u) * a +
                3 * (u * u * t) * b +
                3 * (u * t * t) * c +
                1 * (t * t * t) * d;
        }
        
        private static IEnumerable<Vector2> Evaluate(
            float position,
            Queue<Vector2> queue
        )
        {
            while (queue.Count > 1)
            {
                var count = queue.Count - 1;

                for (var i = 0; i < count; i++)
                {
                    var a = queue.Dequeue();

                    yield return a;

                    var b = queue.Peek();

                    var m = a + (b - a) * position;

                    queue.Enqueue(m);
                }

                yield return queue.Dequeue();
            }

            yield return queue.Dequeue();
        }
    }
}