Кодирование Хаффмана-это алгоритм сжатия данных без потерь. Идея заключается в том, чтобы присвоить коды переменной длины входным символам, длины присвоенных кодов основаны на частотах соответствующих символов. Самый частый символ получает наименьший код, а наименее частый символ — самый большой код.
Node.cs :
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using System; using System.Collections.Generic; using System.Linq; using System.Text; namespace HuffmanTest { public class Node { public char Symbol { get; set; } public int Frequency { get; set; } public Node Right { get; set; } public Node Left { get; set; } public List<bool> Traverse(char symbol, List<bool> data) { // Leaf if (Right == null && Left == null) { if (symbol.Equals(this.Symbol)) { return data; } else { return null; } } else { List<bool> left = null; List<bool> right = null; if (Left != null) { List<bool> leftPath = new List<bool>(); leftPath.AddRange(data); leftPath.Add(false); left = Left.Traverse(symbol, leftPath); } if (Right != null) { List<bool> rightPath = new List<bool>(); rightPath.AddRange(data); rightPath.Add(true); right = Right.Traverse(symbol, rightPath); } if (left != null) { return left; } else { return right; } } } } } |
HuffmanTree.cs :
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using System; using System.Collections.Generic; using System.Linq; using System.Text; using System.Collections; namespace HuffmanTest { public class HuffmanTree { private List<Node> nodes = new List<Node>(); public Node Root { get; set; } public Dictionary<char, int> Frequencies = new Dictionary<char, int>(); public void Build(string source) { for (int i = 0; i < source.Length; i++) { if (!Frequencies.ContainsKey(source[i])) { Frequencies.Add(source[i], 0); } Frequencies[source[i]]++; } foreach (KeyValuePair<char, int> symbol in Frequencies) { nodes.Add(new Node() { Symbol = symbol.Key, Frequency = symbol.Value }); } while (nodes.Count > 1) { List<Node> orderedNodes = nodes.OrderBy(node => node.Frequency).ToList<Node>(); if (orderedNodes.Count >= 2) { // Take first two items List<Node> taken = orderedNodes.Take(2).ToList<Node>(); // Create a parent node by combining the frequencies Node parent = new Node() { Symbol = '*', Frequency = taken[0].Frequency + taken[1].Frequency, Left = taken[0], Right = taken[1] }; nodes.Remove(taken[0]); nodes.Remove(taken[1]); nodes.Add(parent); } this.Root = nodes.FirstOrDefault(); } } public BitArray Encode(string source) { List<bool> encodedSource = new List<bool>(); for (int i = 0; i < source.Length; i++) { List<bool> encodedSymbol = this.Root.Traverse(source[i], new List<bool>()); encodedSource.AddRange(encodedSymbol); } BitArray bits = new BitArray(encodedSource.ToArray()); return bits; } public string Decode(BitArray bits) { Node current = this.Root; string decoded = ""; foreach (bool bit in bits) { if (bit) { if (current.Right != null) { current = current.Right; } } else { if (current.Left != null) { current = current.Left; } } if (IsLeaf(current)) { decoded += current.Symbol; current = this.Root; } } return decoded; } public bool IsLeaf(Node node) { return (node.Left == null && node.Right == null); } } } |
Program.cs:
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using System; using System.Collections.Generic; using System.Linq; using System.Text; using System.Collections; namespace HuffmanTest { class Program { static void Main(string[] args) { Console.WriteLine("Please enter the string:"); string input = Console.ReadLine(); HuffmanTree huffmanTree = new HuffmanTree(); // Build the Huffman tree huffmanTree.Build(input); // Encode BitArray encoded = huffmanTree.Encode(input); Console.Write("Encoded: "); foreach (bool bit in encoded) { Console.Write((bit ? 1 : 0) + ""); } Console.WriteLine(); // Decode string decoded = huffmanTree.Decode(encoded); Console.WriteLine("Decoded: " + decoded); Console.ReadLine(); } } } |