📄 ternarytree.java
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/* * $Id: TernaryTree.java,v 1.4 2002/06/18 13:59:57 blowagie Exp $ * Copyright (C) 2001 The Apache Software Foundation. All rights reserved. * For details on use and redistribution please refer to the * LICENSE file included with these sources. */package com.lowagie.text.pdf.hyphenation;import java.util.Enumeration;import java.util.Stack;import java.io.Serializable;/** * <h2>Ternary Search Tree</h2> * * <p>A ternary search tree is a hibrid between a binary tree and * a digital search tree (trie). Keys are limited to strings. * A data value of type char is stored in each leaf node. * It can be used as an index (or pointer) to the data. * Branches that only contain one key are compressed to one node * by storing a pointer to the trailer substring of the key. * This class is intended to serve as base class or helper class * to implement Dictionary collections or the like. Ternary trees * have some nice properties as the following: the tree can be * traversed in sorted order, partial matches (wildcard) can be * implemented, retrieval of all keys within a given distance * from the target, etc. The storage requirements are higher than * a binary tree but a lot less than a trie. Performance is * comparable with a hash table, sometimes it outperforms a hash * function (most of the time can determine a miss faster than a hash).</p> * * <p>The main purpose of this java port is to serve as a base for * implementing TeX's hyphenation algorithm (see The TeXBook, * appendix H). Each language requires from 5000 to 15000 hyphenation * patterns which will be keys in this tree. The strings patterns * are usually small (from 2 to 5 characters), but each char in the * tree is stored in a node. Thus memory usage is the main concern. * We will sacrify 'elegance' to keep memory requirenments to the * minimum. Using java's char type as pointer (yes, I know pointer * it is a forbidden word in java) we can keep the size of the node * to be just 8 bytes (3 pointers and the data char). This gives * room for about 65000 nodes. In my tests the english patterns * took 7694 nodes and the german patterns 10055 nodes, * so I think we are safe.</p> * * <p>All said, this is a map with strings as keys and char as value. * Pretty limited!. It can be extended to a general map by * using the string representation of an object and using the * char value as an index to an array that contains the object * values.</p> * * @author cav@uniscope.co.jp */public class TernaryTree implements Cloneable, Serializable { /** * We use 4 arrays to represent a node. I guess I should have created * a proper node class, but somehow Knuth's pascal code made me forget * we now have a portable language with virtual memory management and * automatic garbage collection! And now is kind of late, furthermore, * if it ain't broken, don't fix it. */ /** * Pointer to low branch and to rest of the key when it is * stored directly in this node, we don't have unions in java! */ protected char[] lo; /** * Pointer to high branch. */ protected char[] hi; /** * Pointer to equal branch and to data when this node is a string terminator. */ protected char[] eq; /** * <P>The character stored in this node: splitchar * Two special values are reserved:</P> * <ul><li>0x0000 as string terminator</li> * <li>0xFFFF to indicate that the branch starting at * this node is compressed</li></ul> * <p>This shouldn't be a problem if we give the usual semantics to * strings since 0xFFFF is garanteed not to be an Unicode character.</p> */ protected char[] sc; /** * This vector holds the trailing of the keys when the branch is compressed. */ protected CharVector kv; protected char root; protected char freenode; protected int length; // number of items in tree protected static final int BLOCK_SIZE = 2048; // allocation size for arrays TernaryTree() { init(); } protected void init() { root = 0; freenode = 1; length = 0; lo = new char[BLOCK_SIZE]; hi = new char[BLOCK_SIZE]; eq = new char[BLOCK_SIZE]; sc = new char[BLOCK_SIZE]; kv = new CharVector(); } /** * Branches are initially compressed, needing * one node per key plus the size of the string * key. They are decompressed as needed when * another key with same prefix * is inserted. This saves a lot of space, * specially for long keys. */ public void insert(String key, char val) { // make sure we have enough room in the arrays int len = key.length() + 1; // maximum number of nodes that may be generated if (freenode + len > eq.length) redimNodeArrays(eq.length + BLOCK_SIZE); char strkey[] = new char[len--]; key.getChars(0, len, strkey, 0); strkey[len] = 0; root = insert(root, strkey, 0, val); } public void insert(char[] key, int start, char val) { int len = strlen(key) + 1; if (freenode + len > eq.length) redimNodeArrays(eq.length + BLOCK_SIZE); root = insert(root, key, start, val); } /** * The actual insertion function, recursive version. */ private char insert(char p, char[] key, int start, char val) { int len = strlen(key, start); if (p == 0) { // this means there is no branch, this node will start a new branch. // Instead of doing that, we store the key somewhere else and create // only one node with a pointer to the key p = freenode++; eq[p] = val; // holds data length++; hi[p] = 0; if (len > 0) { sc[p] = 0xFFFF; // indicates branch is compressed lo[p] = (char)kv.alloc(len + 1); // use 'lo' to hold pointer to key strcpy(kv.getArray(), lo[p], key, start); } else { sc[p] = 0; lo[p] = 0; } return p; } if (sc[p] == 0xFFFF) { // branch is compressed: need to decompress // this will generate garbage in the external key array // but we can do some garbage collection later char pp = freenode++; lo[pp] = lo[p]; // previous pointer to key eq[pp] = eq[p]; // previous pointer to data lo[p] = 0; if (len > 0) { sc[p] = kv.get(lo[pp]); eq[p] = pp; lo[pp]++; if (kv.get(lo[pp]) == 0) { // key completly decompressed leaving garbage in key array lo[pp] = 0; sc[pp] = 0; hi[pp] = 0; } else sc[pp] = 0xFFFF; // we only got first char of key, rest is still there } else { // In this case we can save a node by swapping the new node // with the compressed node sc[pp] = 0xFFFF; hi[p] = pp; sc[p] = 0; eq[p] = val; length++; return p; } } char s = key[start]; if (s < sc[p]) lo[p] = insert(lo[p], key, start, val); else if (s == sc[p]) { if (s != 0) eq[p] = insert(eq[p], key, start + 1, val); else { // key already in tree, overwrite data eq[p] = val; } } else hi[p] = insert(hi[p], key, start, val); return p; } /** * Compares 2 null terminated char arrays */ public static int strcmp(char[] a, int startA, char[] b, int startB) { for (; a[startA] == b[startB]; startA++, startB++) if (a[startA] == 0) return 0; return a[startA] - b[startB]; } /** * Compares a string with null terminated char array */ public static int strcmp(String str, char[] a, int start) { int i, d, len = str.length(); for (i = 0; i < len; i++) { d = (int)str.charAt(i) - a[start + i]; if (d != 0) return d; if (a[start + i] == 0) return d; } if (a[start + i] != 0) return (int)-a[start + i]; return 0; } public static void strcpy(char[] dst, int di, char[] src, int si) { while (src[si] != 0) dst[di++] = src[si++]; dst[di] = 0; } public static int strlen(char[] a, int start) { int len = 0; for (int i = start; i < a.length && a[i] != 0; i++) len++; return len; } public static int strlen(char[] a) { return strlen(a, 0); } public int find(String key) { int len = key.length(); char strkey[] = new char[len + 1]; key.getChars(0, len, strkey, 0); strkey[len] = 0; return find(strkey, 0); } public int find(char[] key, int start) { int d; char p = root; int i = start; char c; while (p != 0) { if (sc[p] == 0xFFFF) { if (strcmp(key, i, kv.getArray(), lo[p]) == 0) return eq[p]; else return -1; } c = key[i]; d = c - sc[p]; if (d == 0) { if (c == 0) return eq[p]; i++; p = eq[p]; } else if (d < 0) p = lo[p]; else p = hi[p]; } return -1; } public boolean knows(String key) { return (find(key) >= 0); } // redimension the arrays private void redimNodeArrays(int newsize) { int len = newsize < lo.length ? newsize : lo.length; char[] na = new char[newsize]; System.arraycopy(lo, 0, na, 0, len); lo = na; na = new char[newsize]; System.arraycopy(hi, 0, na, 0, len); hi = na; na = new char[newsize]; System.arraycopy(eq, 0, na, 0, len); eq = na; na = new char[newsize]; System.arraycopy(sc, 0, na, 0, len); sc = na;
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