package com.ctc.wstx.util;
import java.util.*;
An efficient (both memory and time) implementation of a Set used to
verify that a given
word is contained within the set. The general usage pattern is expected
to be such that most checks are positive, ie. that the word indeed
is contained in the set.
Performance of the set is comparable to that of TreeSet
for Strings, ie. 2-3x slower than HashSet
when using pre-constructed Strings. This is generally result of algorithmic complexity of structures; Word and Tree sets are roughly logarithmic to the whole data, whereas Hash set is linear to the length of key. However:
- WordSet can use char arrays as keys, without constructing Strings.
In cases where there is no (need for) Strings, WordSet seems to be
about twice as fast, even without considering additional GC caused
by temporary String instances.
- WordSet is more compact in its memory presentation; if Strings are
shared its size is comparable to optimally filled HashSet, and if
no such Strings exists, its much more compact (relatively speaking)
Although this is an efficient set for specific set of usage patterns,
one restriction is that the full set of words to include has to be
known before constructing the set. Also, the size of the set is
limited to total word content of about 20k characters; factory method
does verify the limit and indicates if an instance can not be created.
/**
* An efficient (both memory and time) implementation of a Set used to
* verify that a given
* word is contained within the set. The general usage pattern is expected
* to be such that most checks are positive, ie. that the word indeed
* is contained in the set.
*<p>
* Performance of the set is comparable to that of {@link java.util.TreeSet}
* for Strings, ie. 2-3x slower than {@link java.util.HashSet} when
* using pre-constructed Strings. This is generally result of algorithmic
* complexity of structures; Word and Tree sets are roughly logarithmic
* to the whole data, whereas Hash set is linear to the length of key.
* However:
* <ul>
* <li>WordSet can use char arrays as keys, without constructing Strings.
* In cases where there is no (need for) Strings, WordSet seems to be
* about twice as fast, even without considering additional GC caused
* by temporary String instances.
* </li>
* <li>WordSet is more compact in its memory presentation; if Strings are
* shared its size is comparable to optimally filled HashSet, and if
* no such Strings exists, its much more compact (relatively speaking)
* </li>
* </ul>
*<p>
* Although this is an efficient set for specific set of usage patterns,
* one restriction is that the full set of words to include has to be
* known before constructing the set. Also, the size of the set is
* limited to total word content of about 20k characters; factory method
* does verify the limit and indicates if an instance can not be created.
*/
public final class WordSet
{
final static char CHAR_NULL = (char) 0;
Offset added to numbers to mark 'negative' numbers. Asymmetric,
since range of negative markers needed is smaller than positive
numbers...
/**
* Offset added to numbers to mark 'negative' numbers. Asymmetric,
* since range of negative markers needed is smaller than positive
* numbers...
*/
final static int NEGATIVE_OFFSET = 0xC000;
This is actually just a guess; but in general linear search should
be faster for short sequences (definitely for 4 or less; maybe up
to 8 or less?)
/**
* This is actually just a guess; but in general linear search should
* be faster for short sequences (definitely for 4 or less; maybe up
* to 8 or less?)
*/
final static int MIN_BINARY_SEARCH = 7;
Compressed presentation of the word set.
/**
* Compressed presentation of the word set.
*/
final char[] mData;
/*
////////////////////////////////////////////////
// Life-cycle
////////////////////////////////////////////////
*/
private WordSet(char[] data) {
mData = data;
}
public static WordSet constructSet(TreeSet<String> wordSet)
{
return new WordSet(new Builder(wordSet).construct());
}
public static char[] constructRaw(TreeSet<String> wordSet)
{
return new Builder(wordSet).construct();
}
/*
////////////////////////////////////////////////
// Public API
////////////////////////////////////////////////
*/
public boolean contains(char[] buf, int start, int end) {
return contains(mData, buf, start, end);
}
@SuppressWarnings("cast")
public static boolean contains(char[] data, char[] str, int start, int end)
{
int ptr = 0; // pointer to compressed set data
main_loop:
do {
int left = end-start;
// End of input String? Need to have the run entry:
if (left == 0) {
return (data[ptr+1] == CHAR_NULL);
}
int count = data[ptr++];
// Nope, but do we have an end marker?
if (count >= NEGATIVE_OFFSET) {
// How many chars do we need to have left to match?
int expCount = count - NEGATIVE_OFFSET;
if (left != expCount) {
return false;
}
while (start < end) {
if (data[ptr] != str[start]) {
return false;
}
++ptr;
++start;
}
return true;
}
// No, need to find the branch to follow, if any
char c = str[start++];
// Linear or binary search?
if (count < MIN_BINARY_SEARCH) {
// always at least two branches; never less
if (data[ptr] == c) {
ptr = (int) data[ptr+1];
continue main_loop;
}
if (data[ptr+2] == c) {
ptr = (int) data[ptr+3];
continue main_loop;
}
int branchEnd = ptr + (count << 1);
// Starts from entry #3, if such exists
for (ptr += 4; ptr < branchEnd; ptr += 2) {
if (data[ptr] == c) {
ptr = (int) data[ptr+1];
continue main_loop;
}
}
return false; // No match!
}
{ // Ok, binary search:
int low = 0;
int high = count-1;
int mid;
while (low <= high) {
mid = (low + high) >> 1;
int ix = ptr + (mid << 1);
int diff = data[ix] - c;
if (diff > 0) { // char was 'higher', need to go down
high = mid-1;
} else if (diff < 0) { // lower, need to go up
low = mid+1;
} else { // match
ptr = (int) data[ix+1];
continue main_loop;
}
}
}
// If we fall here, no match!
return false;
} while (ptr != 0);
// If we reached an end state, must match the length
return (start == end);
}
public boolean contains(String str) {
return contains(mData, str);
}
@SuppressWarnings("cast")
public static boolean contains(char[] data, String str)
{
// Let's use same vars as array-based code, to allow cut'n pasting
int ptr = 0; // pointer to compressed set data
int start = 0;
int end = str.length();
main_loop:
do {
int left = end-start;
// End of input String? Need to have the run entry:
if (left == 0) {
return (data[ptr+1] == CHAR_NULL);
}
int count = data[ptr++];
// Nope, but do we have an end marker?
if (count >= NEGATIVE_OFFSET) {
// How many chars do we need to have left to match?
int expCount = count - NEGATIVE_OFFSET;
if (left != expCount) {
return false;
}
while (start < end) {
if (data[ptr] != str.charAt(start)) {
return false;
}
++ptr;
++start;
}
return true;
}
// No, need to find the branch to follow, if any
char c = str.charAt(start++);
// Linear or binary search?
if (count < MIN_BINARY_SEARCH) {
// always at least two branches; never less
if (data[ptr] == c) {
ptr = (int) data[ptr+1];
continue main_loop;
}
if (data[ptr+2] == c) {
ptr = (int) data[ptr+3];
continue main_loop;
}
int branchEnd = ptr + (count << 1);
// Starts from entry #3, if such exists
for (ptr += 4; ptr < branchEnd; ptr += 2) {
if (data[ptr] == c) {
ptr = (int) data[ptr+1];
continue main_loop;
}
}
return false; // No match!
}
{ // Ok, binary search:
int low = 0;
int high = count-1;
int mid;
while (low <= high) {
mid = (low + high) >> 1;
int ix = ptr + (mid << 1);
int diff = data[ix] - c;
if (diff > 0) { // char was 'higher', need to go down
high = mid-1;
} else if (diff < 0) { // lower, need to go up
low = mid+1;
} else { // match
ptr = (int) data[ix+1];
continue main_loop;
}
}
}
// If we fall here, no match!
return false;
} while (ptr != 0);
// If we reached an end state, must match the length
return (start == end);
}
/*
////////////////////////////////////////////////
// Private methods
////////////////////////////////////////////////
*/
/*
////////////////////////////////////////////////
// Helper classes
////////////////////////////////////////////////
*/
private final static class Builder
{
final String[] mWords;
char[] mData;
Number of characters currently used from mData
/**
* Number of characters currently used from mData
*/
int mSize;
public Builder(TreeSet<String> wordSet) {
int wordCount = wordSet.size();
mWords = new String[wordCount];
wordSet.toArray(mWords);
/* Let's guess approximate size we should need, assuming
* average word length of 6 characters, and 100% overhead
* in structure:
*/
int size = wordCount * 12;
if (size < 256) {
size = 256;
}
mData = new char[size];
}
Returns: Raw character data that contains compressed structure
of the word set
/**
* @return Raw character data that contains compressed structure
* of the word set
*/
public char[] construct()
{
// Uncomment if you need to debug array-out-of-bound probs
//try {
// Let's check degenerate case of 1 word:
if (mWords.length == 1) {
constructLeaf(0, 0);
} else {
constructBranch(0, 0, mWords.length);
}
//} catch (Throwable t) { System.err.println("Error: "+t); }
char[] result = new char[mSize];
System.arraycopy(mData, 0, result, 0, mSize);
return result;
}
Method that is called recursively to build the data
representation for a branch, ie. part of word set tree
that still has more than one ending
Params: - charIndex – Index of the character in words to consider
for this round
- start – Index of the first word to be processed
- end – Index of the word after last word to be processed
(so that number of words is
end - start - 1
/**
* Method that is called recursively to build the data
* representation for a branch, ie. part of word set tree
* that still has more than one ending
*
* @param charIndex Index of the character in words to consider
* for this round
* @param start Index of the first word to be processed
* @param end Index of the word after last word to be processed
* (so that number of words is <code>end - start - 1</code>
*/
@SuppressWarnings("cast")
private void constructBranch(int charIndex, int start, int end)
{
// If more than one entry, need to divide into groups
// First, need to add placeholder for branch count:
if (mSize >= mData.length) {
expand(1);
}
mData[mSize++] = 0; // placeholder!
/* structStart will point to second char of first entry
* (which will temporarily have entry count, eventually 'link'
* to continuation)
*/
int structStart = mSize + 1;
int groupCount = 0;
int groupStart = start;
String[] words = mWords;
/* First thing we need to do is a special check for the
* first entry -- it may be "runt" word, one that has no
* more chars but also has a longer version ("id" vs.
* "identifier"). If there is such a word, it'll always
* be first in alphabetic ordering:
*/
if (words[groupStart].length() == charIndex) { // yup, got one:
if ((mSize + 2) > mData.length) {
expand(2);
}
/* Nulls mark both imaginary branching null char and
* "missing link" to the rest
*/
mData[mSize++] = CHAR_NULL;
mData[mSize++] = CHAR_NULL;
// Ok, let's then ignore that entry
++groupStart;
++groupCount;
}
// Ok, then, let's find the ('real') groupings:
while (groupStart < end) {
// Inner loop, let's find the group:
char c = words[groupStart].charAt(charIndex);
int j = groupStart+1;
while (j < end && words[j].charAt(charIndex) == c) {
++j;
}
/* Ok, let's store the char in there, along with count;
* count will be needed in second, and will then get
* overwritten with actual data later on
*/
if ((mSize + 2) > mData.length) {
expand(2);
}
mData[mSize++] = c;
mData[mSize++] = (char) (j - groupStart); // entries in group
groupStart = j;
++groupCount;
}
/* Ok, groups found; need to loop through them, recursively
* calling branch and/or leaf methods
*/
// first let's output the header, ie. group count:
mData[structStart-2] = (char) groupCount;
groupStart = start;
// Do we have the "runt" to skip?
if (mData[structStart] == CHAR_NULL) {
structStart += 2;
++groupStart;
}
int structEnd = mSize;
++charIndex;
for (; structStart < structEnd; structStart += 2) {
groupCount = (int) mData[structStart]; // no sign expansion, is ok
// Ok, count gotten, can now put the 'link' (pointer) in there
mData[structStart] = (char) mSize;
if (groupCount == 1) {
/* One optimization; if it'd lead to a single runt
* entry, we can just add 'null' link:
*/
String word = words[groupStart];
if (word.length() == charIndex) {
mData[structStart] = CHAR_NULL;
} else { // otherwise, let's just create end state:
constructLeaf(charIndex, groupStart);
}
} else {
constructBranch(charIndex, groupStart,
groupStart + groupCount);
}
groupStart += groupCount;
}
// done!
}
Method called to add leaf entry to word set; basically
"here is the rest of the only matching word"
/**
* Method called to add leaf entry to word set; basically
* "here is the rest of the only matching word"
*/
private void constructLeaf(int charIndex, int wordIndex)
{
String word = mWords[wordIndex];
int len = word.length();
char[] data = mData;
// need room for 1 header char, rest of the word
if ((mSize + len + 1) >= data.length) {
data = expand(len+1);
}
data[mSize++] = (char) (NEGATIVE_OFFSET + (len - charIndex));
for (; charIndex < len; ++charIndex) {
data[mSize++] = word.charAt(charIndex);
}
}
private char[] expand(int needSpace)
{
char[] old = mData;
int len = old.length;
int newSize = len + ((len < 4096) ? len : (len >> 1));
/* Let's verify we get enough; should always be true but
* better safe than sorry
*/
if (newSize < (mSize + needSpace)) {
newSize = mSize + needSpace + 64;
}
mData = new char[newSize];
System.arraycopy(old, 0, mData, 0, len);
return mData;
}
}
}