java版CRC16计算redis的key槽点

背景

Redis Cluser采用虚拟槽分区，所有的键根据哈希函数映射到0~16383个整数槽内，计算公式：slot=CRC16（key）&16383。
redis的key如果是数字自增，例如group01, group02, group03是否会全部落在相邻的点槽点上，从而打到同一台redis机器上？

结论

• java的hash算法，对group01, group02, group03这种得到的hash值是相邻的
• redis用的是CRC16算法，对group01, group02, group03算出的hash值是不相邻的，所以算出的槽位不会相邻

参考

redis cluster怎么保证键的均匀分配（crc16算法）
CRC16校验–java方式实现
循环冗余检验 (CRC) 算法原理

java版本的CRC16

没有实际验证过，不能保证计算正确，仅供参考

public class RedisCRC16 {

    //crc16tab数组，便于进行“查表法”计算crc结果，提高效率, 直接拷贝过来，uint16_t数组用int表示没有问题
    private static  int[] crc16tab = {
        0x0000,0x1021,0x2042,0x3063,0x4084,0x50a5,0x60c6,0x70e7,
                0x8108,0x9129,0xa14a,0xb16b,0xc18c,0xd1ad,0xe1ce,0xf1ef,
                0x1231,0x0210,0x3273,0x2252,0x52b5,0x4294,0x72f7,0x62d6,
                0x9339,0x8318,0xb37b,0xa35a,0xd3bd,0xc39c,0xf3ff,0xe3de,
                0x2462,0x3443,0x0420,0x1401,0x64e6,0x74c7,0x44a4,0x5485,
                0xa56a,0xb54b,0x8528,0x9509,0xe5ee,0xf5cf,0xc5ac,0xd58d,
                0x3653,0x2672,0x1611,0x0630,0x76d7,0x66f6,0x5695,0x46b4,
                0xb75b,0xa77a,0x9719,0x8738,0xf7df,0xe7fe,0xd79d,0xc7bc,
                0x48c4,0x58e5,0x6886,0x78a7,0x0840,0x1861,0x2802,0x3823,
                0xc9cc,0xd9ed,0xe98e,0xf9af,0x8948,0x9969,0xa90a,0xb92b,
                0x5af5,0x4ad4,0x7ab7,0x6a96,0x1a71,0x0a50,0x3a33,0x2a12,
                0xdbfd,0xcbdc,0xfbbf,0xeb9e,0x9b79,0x8b58,0xbb3b,0xab1a,
                0x6ca6,0x7c87,0x4ce4,0x5cc5,0x2c22,0x3c03,0x0c60,0x1c41,
                0xedae,0xfd8f,0xcdec,0xddcd,0xad2a,0xbd0b,0x8d68,0x9d49,
                0x7e97,0x6eb6,0x5ed5,0x4ef4,0x3e13,0x2e32,0x1e51,0x0e70,
                0xff9f,0xefbe,0xdfdd,0xcffc,0xbf1b,0xaf3a,0x9f59,0x8f78,
                0x9188,0x81a9,0xb1ca,0xa1eb,0xd10c,0xc12d,0xf14e,0xe16f,
                0x1080,0x00a1,0x30c2,0x20e3,0x5004,0x4025,0x7046,0x6067,
                0x83b9,0x9398,0xa3fb,0xb3da,0xc33d,0xd31c,0xe37f,0xf35e,
                0x02b1,0x1290,0x22f3,0x32d2,0x4235,0x5214,0x6277,0x7256,
                0xb5ea,0xa5cb,0x95a8,0x8589,0xf56e,0xe54f,0xd52c,0xc50d,
                0x34e2,0x24c3,0x14a0,0x0481,0x7466,0x6447,0x5424,0x4405,
                0xa7db,0xb7fa,0x8799,0x97b8,0xe75f,0xf77e,0xc71d,0xd73c,
                0x26d3,0x36f2,0x0691,0x16b0,0x6657,0x7676,0x4615,0x5634,
                0xd94c,0xc96d,0xf90e,0xe92f,0x99c8,0x89e9,0xb98a,0xa9ab,
                0x5844,0x4865,0x7806,0x6827,0x18c0,0x08e1,0x3882,0x28a3,
                0xcb7d,0xdb5c,0xeb3f,0xfb1e,0x8bf9,0x9bd8,0xabbb,0xbb9a,
                0x4a75,0x5a54,0x6a37,0x7a16,0x0af1,0x1ad0,0x2ab3,0x3a92,
                0xfd2e,0xed0f,0xdd6c,0xcd4d,0xbdaa,0xad8b,0x9de8,0x8dc9,
                0x7c26,0x6c07,0x5c64,0x4c45,0x3ca2,0x2c83,0x1ce0,0x0cc1,
                0xef1f,0xff3e,0xcf5d,0xdf7c,0xaf9b,0xbfba,0x8fd9,0x9ff8,
                0x6e17,0x7e36,0x4e55,0x5e74,0x2e93,0x3eb2,0x0ed1,0x1ef0
    };

    public static int crc16(String str) {
        return crc16(str, str.length());
    }

    //具体的crc16算法实现
    public static int crc16(String str, int len) {
        int counter;
        int crc = 0;
        for (counter = 0; counter < len; counter++) {
            crc = getUnsignedInt16(getUnsignedInt16((crc << 8)) ^ crc16tab[((crc >> 8) ^ str.charAt(counter))&0x00FF]);
        }
        return crc;
    }

    public static int getUnsignedInt16(int data) {
        // c语言的uint16_t的数值范围是0-65535
        return data & 0x0FFFF;
    }

    public static int keyHashSlot(String key) {
        return keyHashSlot(key, key.length());
    }

    // 计算给定键应该被分配到哪个槽
   public static int keyHashSlot(String key, int keylen) {
        int s, e; /* start-end indexes of { and } */

        for (s = 0; s < keylen; s++)
            if (key.charAt(s) == '{') break;

        /* No '{' ? Hash the whole key. This is the base case. */
        //0x3FFF转化成十进制就是16383
        if (s == keylen) return crc16(key,keylen) & 0x3FFF;

        /* '{' found? Check if we have the corresponding '}'. */
        for (e = s+1; e < keylen; e++)
            if (key.charAt(e) == '}') break;

        /* No '}' or nothing betweeen {} ? Hash the whole key. */
        if (e == keylen || e == s+1) return crc16(key,keylen) & 0x3FFF;

        /* If we are here there is both a { and a } on its right. Hash
         * what is in the middle between { and }. */
        return crc16(key.substring(s+1),e-s-1) & 0x3FFF;
    }

    // 这个CRC计算的结果和模拟redis计算的CRC结果一致，多了7倍循环效率会低一些，抄自https://blog.youkuaiyun.com/qq_39835384/article/details/97045693
    public static int CRC_XModem(byte[] bytes){
        int crc = 0x00;
        int polynomial = 0x1021;
        for (int index = 0 ; index< bytes.length; index++) {
            byte b = bytes[index];
            for (int i = 0; i < 8; i++) {
                boolean bit = ((b   >> (7-i) & 1) == 1);
                boolean c15 = ((crc >> 15    & 1) == 1);
                crc <<= 1;
                if (c15 ^ bit) crc ^= polynomial;
            }
        }
        crc &= 0xffff;
        return crc;
    }

    public static void main(String[] args) {
        System.out.println("group01".hashCode()); //输出293427392
        System.out.println("group02".hashCode()); //输出293427393
        System.out.println("group03".hashCode()); //输出293427394
        System.out.println("group04".hashCode()); //输出293427395
        System.out.println(crc16("group01")); //输出7544
        System.out.println(crc16("group02")); //输出11547
        System.out.println(crc16("group03")); //输出15674
        System.out.println(crc16("group04")); //输出19933
        System.out.println(keyHashSlot("group01")); //输出7544
        System.out.println(keyHashSlot("group02")); //输出11547
        System.out.println(keyHashSlot("group03")); //输出15674
        System.out.println(keyHashSlot("group04")); //输出3549
        System.out.println(keyHashSlot("{group04}00")); //输出3549
        System.out.println(keyHashSlot("{group04}10")); //输出3549
        System.out.println(CRC_XModem("group01".getBytes(StandardCharsets.UTF_8))); //hash输出7544，和模拟redis的crc16算出结果一致
        System.out.println(CRC_XModem("group02".getBytes(StandardCharsets.UTF_8))); //hash输出11547，和模拟redis的crc16算出结果一致
        System.out.println(CRC_XModem("group03".getBytes(StandardCharsets.UTF_8))); //hash输出15674，和模拟redis的crc16算出结果一致
        System.out.println(CRC_XModem("group04".getBytes(StandardCharsets.UTF_8))); //hash输出19933，和模拟redis的crc16算出结果一致
    }
}