赫夫曼编码

倾然丶 夕夏残阳落幕 提交于 2020-02-12 13:30:13

赫夫曼编码用于数据文件的压缩,压缩率在20%~90%之间,称之为最佳编码

将原始数据转换为ASCII编码后再转二进制属于定长编码

同样数据使用变长编码,按照各个字符出现次数进行编码,出现次数越多则编码越小(字符的编码都不能是其他字符编码的前缀,这样的编码叫做前缀编码),从而实现数据的压缩

步骤:和创建赫夫曼树一样,其数据重复出现的次数作为权值,向左的路径为0,向右的路径为1,采取不一样的排序方式,编码也是不一样的,但是最后WPL是相同的,都是最小

理论上来说赫夫曼编码的压缩率重复数据出现的越多压缩率则越高,相反次之

import java.io.*;
import java.util.*;

public class HuffmanCode {

    public static void main(String[] args) {
        String content = "i like like like java do you like a java";
        byte[] contentBytes = content.getBytes();
        byte[] huffmanCodesBytes = huffmanZip(contentBytes);
//        System.out.println(Arrays.toString(huffmanCodesBytes) + " " + huffmanCodesBytes.length);

        byte[] sourceBytes = decode(huffmanCodes, huffmanCodesBytes);
//        System.out.println(new String(sourceBytes));

        zipFile("d://msdia80.dll", "d://123.zip");
//        unZipFile("d://dsp.zip","d://dsp.png");
    }

    //封装
    private static byte[] huffmanZip(byte[] bytes) {
        List<Node> nodes = getNodes(bytes);
        //根据node创建赫夫曼树
        Node HuffmanTreeRoot = createHuffmanTree(nodes);
        //根据赫夫曼树创建对应的赫夫曼编码
        Map<Byte, String> huffmanCodes = getCodes(HuffmanTreeRoot);
        //根据赫夫曼编码压缩得到压缩后的赫夫曼编码字节数组
        byte[] huffmanCodeBytes = zip(bytes, huffmanCodes);
        return huffmanCodeBytes;
    }

    private static List<Node> getNodes(byte[] bytes) {
        ArrayList<Node> nodes = new ArrayList<>();
        Map<Byte, Integer> counts = new HashMap<>();
        for (byte b : bytes) {
            Integer count = counts.get(b);
            if (count == null) {
                counts.put(b, 1);
            } else {
                counts.put(b, count + 1);
            }
        }
        for (Map.Entry<Byte, Integer> entry : counts.entrySet()) {
            nodes.add(new Node(entry.getKey(), entry.getValue()));
        }
        return nodes;
    }

    private static Node createHuffmanTree(List<Node> nodes) {
        while (nodes.size() > 1) {
            Collections.sort(nodes);
            Node leftNode = nodes.get(0);
            Node rightNode = nodes.get(1);
            Node parent = new Node(null, leftNode.weight + rightNode.weight);
            parent.left = leftNode;
            parent.right = rightNode;
            nodes.remove(leftNode);
            nodes.remove(rightNode);
            nodes.add(parent);
        }
        //返回根节点
        return nodes.get(0);
    }

    private static void preOrder(Node root) {
        if (root != null) {
            root.preOrder();
        }
    }

    //生成赫夫曼树对应的赫夫曼编码
    static Map<Byte, String> huffmanCodes = new HashMap<>();
    static StringBuilder stringBuilder = new StringBuilder();

    private static Map<Byte, String> getCodes(Node root) {
        if (root == null) {
            return null;
        }
        getCodes(root.left, "0", stringBuilder);
        getCodes(root.right, "1", stringBuilder);
        return huffmanCodes;
    }

    /**
     * 将传入的node节点的所有叶子节点的赫夫曼编码得到 并放入HuffmanCoeds集合
     *
     * @param node          根节点
     * @param code          路径 左0 右1
     * @param stringBuilder 拼接路径
     */
    private static void getCodes(Node node, String code, StringBuilder stringBuilder) {
        StringBuilder stringBuilder2 = new StringBuilder(stringBuilder);
        stringBuilder2.append(code);
        if (node != null) {
            if (node.data == null) {
                getCodes(node.left, "0", stringBuilder2);
                getCodes(node.right, "1", stringBuilder2);
            } else {
                huffmanCodes.put(node.data, stringBuilder2.toString());
            }
        }
    }

    /**
     * 推导 返回字符串 前8位 10101000(补码) -1=> 10100111(反码) 首位符号不变其它取反=> 11011000(原码)
     *
     * @param bytes
     * @param huffmanCodes
     * @return
     */
    private static byte[] zip(byte[] bytes, Map<Byte, String> huffmanCodes) {
        StringBuilder stringBuilder = new StringBuilder();
        for (byte b : bytes) {
            stringBuilder.append(huffmanCodes.get(b));
        }
        //将 字符串 转 byte[]
        //简单写法 int len = (stringBuilder.length() + 7) / 8;
        int len;
        if (stringBuilder.length() % 8 == 0) {
            len = stringBuilder.length() / 8;
        } else {
            len = stringBuilder.length() / 8 + 1;
        }
        byte[] huffmanCodeBytes = new byte[len];
        int index = 0;
        for (int i = 0; i < stringBuilder.length(); i += 8) {
            String strByte;
            if (i + 8 > stringBuilder.length()) {
                strByte = stringBuilder.substring(i);
            } else {
                strByte = stringBuilder.substring(i, i + 8);
            }
            huffmanCodeBytes[index] = (byte) Integer.parseInt(strByte, 2);
            index++;
        }
        return huffmanCodeBytes;
    }

    /**
     * 解压  字符转二进制字符串
     *
     * @param flag
     * @param b
     * @return
     */
    private static String byteToBitString(boolean flag, byte b) {
        int temp = b;
        if (flag) {
            temp |= 256;
        }
        String str = Integer.toBinaryString(temp);
        if (flag) {
            return str.substring(str.length() - 8);
        } else {
            return str;
        }
    }

    /**
     * 解码
     *
     * @param huffmanCodes 赫夫曼编码表 map
     * @param huffmanBytes 赫夫曼编码得到的字节数组
     * @return
     */
    private static byte[] decode(Map<Byte, String> huffmanCodes, byte[] huffmanBytes) {
        StringBuilder stringBuilder = new StringBuilder();
        for (int i = 0; i < huffmanBytes.length; i++) {
            boolean flag = (i == huffmanBytes.length - 1);
            stringBuilder.append(byteToBitString(!flag, huffmanBytes[i]));
        }

        Map<String, Byte> map = new HashMap<>();
        for (Map.Entry<Byte, String> entry : huffmanCodes.entrySet()) {
            map.put(entry.getValue(), entry.getKey());
        }
        List<Byte> list = new ArrayList<>();
        for (int i = 0; i < stringBuilder.length(); ) {
            int count = 1;
            boolean flag = true;
            Byte b = null;
            while (flag) {
                String key = stringBuilder.substring(i, i + count);
                b = map.get(key);
                if (b == null) {
                    count++;
                } else {
                    flag = false;
                }
            }
            list.add(b);
            i += count;
        }
        byte b[] = new byte[list.size()];
        for (int i = 0; i < b.length; i++) {
            b[i] = list.get(i);
        }
        return b;
    }

    //文件压缩
    public static void zipFile(String srcFile, String dsFile) {
        FileInputStream is = null;
        OutputStream os = null;
        ObjectOutputStream oos = null;
        try {
            is = new FileInputStream(srcFile);
            byte b[] = new byte[is.available()];
            is.read(b);
            byte[] huffmanBytes = huffmanZip(b);
            os = new FileOutputStream(dsFile);
            oos = new ObjectOutputStream(os);
            oos.writeObject(huffmanBytes);
            oos.writeObject(huffmanCodes);
        } catch (Exception e) {
            System.out.println(e.getMessage());
        } finally {
            try {
                is.close();
                os.close();
                oos.close();
            } catch (Exception e) {
                System.out.println(e.getMessage());
            }
        }
    }

    //文件解压
    public static void unZipFile(String zipFile, String dstFile) {
        InputStream is = null;
        ObjectInputStream ois = null;
        OutputStream os = null;
        try {
            is = new FileInputStream(zipFile);
            ois = new ObjectInputStream(is);
            byte[] huffmanBytes = (byte[])ois.readObject();
            Map<Byte,String> huffmanCodes = (Map<Byte,String>)ois.readObject();
            byte[] bytes=decode(huffmanCodes,huffmanBytes);
            os = new FileOutputStream(dstFile);
            os.write(bytes);
        } catch (Exception e) {
            System.out.println(e.getMessage());
        } finally {
            try {
                is.close();
                ois.close();
                os.close();
            } catch (Exception e) {
                System.out.println(e.getMessage());
            }
        }
    }
}

class Node implements Comparable<Node> {
    Byte data;
    int weight;
    Node left;
    Node right;

    public Node(Byte data, int weight) {
        this.data = data;
        this.weight = weight;
    }

    @Override
    public int compareTo(Node o) {
        return this.weight - o.weight;
    }

    @Override
    public String toString() {
        return "Node[" +
                "data=" + data +
                ", weight=" + weight +
                ']';
    }

    public void preOrder() {
        System.out.println(this);
        if (this.left != null) {
            this.left.preOrder();
        }
        if (this.right != null) {
            this.right.preOrder();
        }
    }
}

 

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