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架构师训练营第 1 期 -week5

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发布于: 2020 年 10 月 25 日

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计算标准差相关的数学工具


package com.geektime;
import java.util.Arrays;
/** * 数学相关计算工具类 */public class MathUtil {
/** * 传入一个数列x计算平均值 * * @param x 要计算的数列 * @return 平均值 */ public static double average(double[] x) { return Arrays.stream(x).average().orElse(0); }
/** * 传入一个数列x计算方差 * <p> * 方差s^2=[(x1-x)^2+(x2-x)^2+......(xn-x)^2]/(n)(x为平均数) * * @param x 要计算的数列 * @return 方差 */ public static double variance(double[] x) { double avg = average(x); return Arrays.stream(x).map(i -> Math.pow(i - avg, 2)).average().orElse(0); }
/** * 传入一个数列x计算标准差 * 标准差σ=sqrt(s^2),即标准差=方差的平方根 * * @param x 要计算的数列 * @return 标准差 */ public static double standardDeviation(double[] x) { return Math.sqrt(variance(x)); }}
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模拟机器节点


package com.geektime;
public class Node { private String ip; private String name;
public Node(String ip, String name) { this.ip = ip; this.name = name; }
public String getIp() { return ip; }
public void setIp(String ip) { this.ip = ip; }
public String getName() { return name; }
public void setName(String name) { this.name = name; }
/** * 使用IP当做hash的Key * * @return String */ @Override public String toString() { return ip; }}
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hash 算法


使用MurmurHash


private static int hash(Object key) {        return MurmurHash.hash32(key.toString());    }
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一致性 hash 类的完整代码


package com.geektime;
import java.util.Collection;import java.util.SortedMap;import java.util.TreeMap;
public class ConsistentHash<T> {
/** * 每个节点的虚拟节点的个数 */ private final int numberOfReplicas;
/** * 哈希环 */
private final SortedMap<Long, T> circle = new TreeMap<>();
/** * 初始化 * * @param numberOfReplicas 虚拟节点数量 * @param nodes 物理节点列表 */ public ConsistentHash(int numberOfReplicas, Collection<T> nodes) { this.numberOfReplicas = numberOfReplicas; // 初始化节点 for (T node : nodes) { add(node); } }
/** * 添加节点 * * @param node 物理节点 */ public void add(T node) { for (int i = 0; i < numberOfReplicas; i++) { String key = node.toString() + i; long hash = hash(key); circle.put(hash, node); } }
public T get(String key) { if (circle.isEmpty()) { return null; }
long hash = hash(key);
// 沿环的顺时针找到一个虚拟节点 if (!circle.containsKey(hash)) { SortedMap<Long, T> tailMap = circle.tailMap(hash); hash = tailMap.isEmpty() ? circle.firstKey() : tailMap.firstKey(); } return circle.get(hash); }

private static int hash(Object key) { return MurmurHash.hash32(key.toString()); }
static final class MurmurHash {
// all methods static; private constructor. private MurmurHash() { }
/** * Generates 32 bit hash from byte array of the given length and * seed. * * @param data byte array to hash * @param length length of the array to hash * @param seed initial seed value * @return 32 bit hash of the given array */ public static int hash32(final byte[] data, int length, int seed) { // 'm' and 'r' are mixing constants generated offline. // They're not really 'magic', they just happen to work well. final int m = 0x5bd1e995; final int r = 24;
// Initialize the hash to a random value int h = seed ^ length; int length4 = length / 4;
for (int i = 0; i < length4; i++) { final int i4 = i * 4; int k = (data[i4 + 0] & 0xff) + ((data[i4 + 1] & 0xff) << 8) + ((data[i4 + 2] & 0xff) << 16) + ((data[i4 + 3] & 0xff) << 24); k *= m; k ^= k >>> r; k *= m; h *= m; h ^= k; }
// Handle the last few bytes of the input array switch (length % 4) { case 3: h ^= (data[(length & ~3) + 2] & 0xff) << 16; case 2: h ^= (data[(length & ~3) + 1] & 0xff) << 8; case 1: h ^= (data[length & ~3] & 0xff); h *= m; }
h ^= h >>> 13; h *= m; h ^= h >>> 15;
return h; }
/** * Generates 32 bit hash from byte array with default seed value. * * @param data byte array to hash * @param length length of the array to hash * @return 32 bit hash of the given array */ public static int hash32(final byte[] data, int length) { return hash32(data, length, 0x9747b28c); }
/** * Generates 32 bit hash from a string. * * @param text string to hash * @return 32 bit hash of the given string */ public static int hash32(final String text) { final byte[] bytes = text.getBytes(); return hash32(bytes, bytes.length); }
/** * Generates 32 bit hash from a substring. * * @param text string to hash * @param from starting index * @param length length of the substring to hash * @return 32 bit hash of the given string */ public static int hash32(final String text, int from, int length) { return hash32(text.substring(from, from + length)); }
/** * Generates 64 bit hash from byte array of the given length and seed. * * @param data byte array to hash * @param length length of the array to hash * @param seed initial seed value * @return 64 bit hash of the given array */ public static long hash64(final byte[] data, int length, int seed) { final long m = 0xc6a4a7935bd1e995L; final int r = 47;
long h = (seed & 0xffffffffL) ^ (length * m);
int length8 = length / 8;
for (int i = 0; i < length8; i++) { final int i8 = i * 8; long k = ((long) data[i8 + 0] & 0xff) + (((long) data[i8 + 1] & 0xff) << 8) + (((long) data[i8 + 2] & 0xff) << 16) + (((long) data[i8 + 3] & 0xff) << 24) + (((long) data[i8 + 4] & 0xff) << 32) + (((long) data[i8 + 5] & 0xff) << 40) + (((long) data[i8 + 6] & 0xff) << 48) + (((long) data[i8 + 7] & 0xff) << 56);
k *= m; k ^= k >>> r; k *= m;
h ^= k; h *= m; }
switch (length % 8) { case 7: h ^= (long) (data[(length & ~7) + 6] & 0xff) << 48; case 6: h ^= (long) (data[(length & ~7) + 5] & 0xff) << 40; case 5: h ^= (long) (data[(length & ~7) + 4] & 0xff) << 32; case 4: h ^= (long) (data[(length & ~7) + 3] & 0xff) << 24; case 3: h ^= (long) (data[(length & ~7) + 2] & 0xff) << 16; case 2: h ^= (long) (data[(length & ~7) + 1] & 0xff) << 8; case 1: h ^= (long) (data[length & ~7] & 0xff); h *= m; }
h ^= h >>> r; h *= m; h ^= h >>> r;
return h; }
/** * Generates 64 bit hash from byte array with default seed value. * * @param data byte array to hash * @param length length of the array to hash * @return 64 bit hash of the given string */ public static long hash64(final byte[] data, int length) { return hash64(data, length, 0xe17a1465); }
/** * Generates 64 bit hash from a string. * * @param text string to hash * @return 64 bit hash of the given string */ public static long hash64(final String text) { final byte[] bytes = text.getBytes(); return hash64(bytes, bytes.length); }
/** * Generates 64 bit hash from a substring. * * @param text string to hash * @param from starting index * @param length length of the substring to hash * @return 64 bit hash of the given array */ public static long hash64(final String text, int from, int length) { return hash64(text.substring(from, from + length)); } }}
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测试类


package com.geektime;
import java.util.ArrayList;import java.util.Arrays;import java.util.HashMap;import java.util.List;import java.util.Map;import java.util.UUID;
public class Main {
/** * 机器节点IP前缀 */ private static final String IP_PREFIX = "192.168.0.";
public static void main(String[] args) { //节点列表 int numOfNodes = 10; //虚拟节点 int replicas = 150; // KV数据 int sampleCnt = 1000000; // 每台真实机器节点上保存的记录条数 Map<String, Integer> counter = new HashMap<>();
List<Node> nodeList = new ArrayList<>(numOfNodes); for (int i = 1; i <= numOfNodes; i++) { counter.put(IP_PREFIX + i, 0); Node node = new Node(IP_PREFIX + i, "node" + i); nodeList.add(node); } System.out.println("节点数:" + numOfNodes + ",虚拟节点数:" + replicas);
//一致性哈希初始化 ConsistentHash<Node> consistentHash = new ConsistentHash<>(replicas, nodeList);

for (int i = 0; i < sampleCnt; i++) { // 产生随机一个字符串当做一条记录 String data = UUID.randomUUID().toString() + i; Node node = consistentHash.get(data); String ip = node.getIp(); counter.put(ip, counter.containsKey(ip) ? counter.get(ip) + 1 : 1); } //计算标准差 for (Map.Entry<String, Integer> entry : counter.entrySet()) { System.out.println("节点:" + entry.getKey() + ",数目:" + entry.getValue()); }
double[] doubles = Arrays.stream(counter.values().toArray(new Integer[0])) .mapToDouble(Integer::doubleValue) .toArray(); double standardDeviation = MathUtil.standardDeviation(doubles);
System.out.println("标准差为:" + standardDeviation); }}
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测试结果


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架构师训练营第 1 期 -week5