gpd-924-en/complex_algorithms/Assets/Scripts/BezierCurves.cs

using System;
using UnityEngine;

namespace DefaultNamespace
{
    public class BezierCurves : MonoBehaviour
    {
        public enum BezierCurveType
        {
            Linear,
            Quadratic,
            Cubic,
        }

        [SerializeField] private BezierCurveType _bezierCurveType;
        [SerializeField] private Color _color;
        [SerializeField] private Transform[] _positions = new Transform[0];
        [SerializeField, Min(1)] private int _separations = 1;

        private void OnDrawGizmos()
        {
            Gizmos.color = _color;

            switch (_bezierCurveType)
            {
                case BezierCurveType.Linear:
                    DrawLinearBezierCurve();
                    break;
                case BezierCurveType.Quadratic:
                    DrawQuadraticBezierCurve();
                    break;
                case BezierCurveType.Cubic:
                    DrawCubicBezierCurve();
                    break;
            }

            for (int i = 0; i < _positions.Length; i++)
            {
                Gizmos.DrawSphere(_positions[i].position, 0.25f);
            }
        }

        private void DrawLinearBezierCurve()
        {
            if (_positions.Length < 2) return;

            Vector3 p0 = _positions[0].position;
            Vector3 p1 = _positions[1].position;

            // Gizmos.DrawLine(p0, p1);

            for (int i = 0; i < _separations; i++)
            {
                float t0 = (float)i / _separations;
                float t1 = (float)(i + 1) / _separations;

                Gizmos.DrawLine(LinearCurvePoint(p0, p1, t0), LinearCurvePoint(p0, p1, t1));
            }
        }

        private void DrawQuadraticBezierCurve()
        {
            if (_positions.Length < 3) return;

            Vector3 p0 = _positions[0].position;
            Vector3 p1 = _positions[1].position;
            Vector3 p2 = _positions[2].position;

            for (int i = 0; i < _separations; i++)
            {
                float t0 = (float)i / _separations;
                float t1 = (float)(i + 1) / _separations;

                Gizmos.DrawLine(QuadraticCurvePoint(p0, p1, p2, t0), QuadraticCurvePoint(p0, p1, p2, t1));
            }
        }

        private void DrawCubicBezierCurve()
        {
            if (_positions.Length < 4) return;

            Vector3 p0 = _positions[0].position;
            Vector3 p1 = _positions[1].position;
            Vector3 p2 = _positions[2].position;
            Vector3 p3 = _positions[3].position;

            for (int i = 0; i < _separations; i++)
            {
                float t0 = (float)i / _separations;
                float t1 = (float)(i + 1) / _separations;

                Gizmos.DrawLine(CubicCurvePoint(p0, p1, p2, p3, t0), CubicCurvePoint(p0, p1, p2, p3, t1));
            }
        }

        private Vector3 LinearCurvePoint(Vector3 p0, Vector3 p1, float t) => (1 - t) * p0 + t * p1;

        private Vector3 QuadraticCurvePoint(Vector3 p0, Vector3 p1, Vector3 p2, float t) =>
            LinearCurvePoint(LinearCurvePoint(p0, p1, t), LinearCurvePoint(p1, p2, t), t);

        private Vector3 CubicCurvePoint(Vector3 p0, Vector3 p1, Vector3 p2, Vector3 p3, float t) =>
            LinearCurvePoint(QuadraticCurvePoint(p0, p1, p2, t), QuadraticCurvePoint(p1, p2, p3, t), t);
    }
}