Gen_Hack-and-Slash-Roguelite-zzdxxz/Client/Assets/Scripts/Utils/PerlinNoise.cs

using System;

namespace Utils
{
    public class PerlinNoise : Utils.Singleton<PerlinNoise>
    {
        private int[] _p; // 混淆表
        private const int DefaultSeed = 0; // 默认种子

        public PerlinNoise()
        {
            Initialize(DefaultSeed);
        }

        // 初始化混淆表
        private void Initialize(int seed)
        {
            _p = new int[512]; // 混淆表加倍以方便使用
            var permutation = new int[256];
            var random = new Random(seed);

            // 填充数组为0-255
            for (var i = 0; i < 256; i++) permutation[i] = i;

            // 使用Fisher-Yates算法打乱数组
            for (var i = 0; i < 256; i++)
            {
                var swapIndex = random.Next(256);
                var temp = permutation[i];
                permutation[i] = permutation[swapIndex];
                permutation[swapIndex] = temp;
            }

            // 将打乱后的数组复制两次，生成512个元素的混淆表
            for (var i = 0; i < 256; i++)
            {
                _p[i] = permutation[i];
                _p[i + 256] = permutation[i];
            }
        }

        // 重新指定种子
        public void Reinitialize(int seed)
        {
            Initialize(seed);
        }

        // 平滑函数 (6t^5 - 15t^4 + 10t^3)
        private static double Fade(double t)
        {
            return t * t * t * (t * (t * 6 - 15) + 10);
        }

        // 线性插值
        private static double Lerp(double t, double a, double b)
        {
            return a + t * (b - a);
        }

        // 计算梯度向量和距离向量的点积
        private static double Grad(int hash, double x, double y, double z)
        {
            return (hash & 0xF) switch // 取hash值的最后4位
            {
                0x0 => x + y,
                0x1 => -x + y,
                0x2 => x - y,
                0x3 => -x - y,
                0x4 => x + z,
                0x5 => -x + z,
                0x6 => x - z,
                0x7 => -x - z,
                0x8 => y + z,
                0x9 => -y + z,
                0xA => y - z,
                0xB => -y - z,
                0xC => y + x,
                0xD => -y + x,
                0xE => y - x,
                0xF => -y - x,
                _ => 0
            };
        }

        /// <summary>
        ///     为给定的(x, y, z)坐标生成3D Perlin噪声。
        ///     输出值通常在-1到1之间。
        /// </summary>
        public double Noise(double x, double y=0, double z = 0)
        {
            var X = (int)Math.Floor(x) & 255;
            var Y = (int)Math.Floor(y) & 255;
            var Z = (int)Math.Floor(z) & 255;

            x -= Math.Floor(x);
            y -= Math.Floor(y);
            z -= Math.Floor(z);

            var u = Fade(x);
            var v = Fade(y);
            var w = Fade(z);

            var A = _p[X] + Y;
            var AA = _p[A] + Z;
            var AB = _p[A + 1] + Z;
            var B = _p[X + 1] + Y;
            var BA = _p[B] + Z;
            var BB = _p[B + 1] + Z;

            var H000 = _p[AA];
            var H100 = _p[BA];
            var H010 = _p[AB];
            var H110 = _p[BB];
            var H001 = _p[AA + 1];
            var H101 = _p[BA + 1];
            var H011 = _p[AB + 1];
            var H111 = _p[BB + 1];

            double x0, x1, y0, y1;

            x0 = Lerp(u, Grad(H000, x, y, z), Grad(H100, x - 1, y, z));
            x1 = Lerp(u, Grad(H010, x, y - 1, z), Grad(H110, x - 1, y - 1, z));
            y0 = Lerp(v, x0, x1);

            x0 = Lerp(u, Grad(H001, x, y, z - 1), Grad(H101, x - 1, y, z - 1));
            x1 = Lerp(u, Grad(H011, x, y - 1, z - 1), Grad(H111, x - 1, y - 1, z - 1));
            y1 = Lerp(v, x0, x1);

            return Lerp(w, y0, y1);
        }
    }
}