Created
May 28, 2011 04:11
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String binary search
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import java.util.*; | |
public class StringBinarySearch { | |
private static class ListDictionary implements Dictionary { | |
private List<String> ss; | |
public ListDictionary(List<String> ss) { this.ss = ss; } | |
public String getWordAt(int i) throws IndexOutOfBoundsException { | |
return i < 0 || i >= ss.size() ? null : ss.get(i); | |
} | |
} | |
public static void main(String[] args) { | |
// Random test: a g c t, 1-8 letters, 0-2048-sized array (exponential scale) | |
Random r = new Random(); | |
for(int experiment = 0; experiment < 1000; ++experiment) { | |
int scale = 1 << r.nextInt(10); | |
int n = (int) (scale * (1 + r.nextDouble())); | |
List<String> haystack = new ArrayList<String>(); | |
for(int i = 0; i < n; ++i) haystack.add(generate(r)); | |
Collections.sort(haystack); | |
for(String needle : haystack) check(needle, haystack); | |
for(int needleNo = 0; needleNo < 1000; ++needleNo) check(generate(r), haystack); | |
} | |
} | |
private static void check(String needle, List<String> haystack) { | |
boolean expected = haystack.contains(needle); | |
boolean actual = find(needle, new ListDictionary(haystack)); | |
if(expected && !actual) { | |
System.out.println("Element present but not found: " + needle + " in " + haystack); | |
} else if(actual && !expected) { | |
System.out.println("Element found but not present: " + needle + " in " + haystack); | |
} | |
} | |
private static String generate(Random r) { | |
int len = 1 + r.nextInt(7); | |
StringBuilder sb = new StringBuilder(); | |
for(int j = 0; j < len; ++j) sb.append("agct".charAt(r.nextInt(4))); | |
return sb.toString(); | |
} | |
public static boolean find(String needle, Dictionary haystack) { | |
int low = 0, high = 1; | |
int matchLen = 0; | |
while(haystack.getWordAt(high) != null) high *= 2; | |
high--; | |
while (low <= high) { | |
int mid = (low + high) >>> 1; | |
String midVal = haystack.getWordAt(mid); | |
if(midVal == null) { | |
high = mid - 1; | |
continue; | |
} | |
String lowWord = haystack.getWordAt(low); | |
String highWord = haystack.getWordAt(high); | |
if(highWord != null) { | |
while(matchLen < lowWord.length() && | |
matchLen < highWord.length() && | |
lowWord.charAt(matchLen) == highWord.charAt(matchLen)) | |
{ | |
if(matchLen >= needle.length()) return false; | |
if(lowWord.charAt(matchLen) != needle.charAt(matchLen)) return false; | |
matchLen++; | |
} | |
} | |
int cmp = compare(needle, midVal, matchLen); | |
if (cmp > 0) | |
low = mid + 1; | |
else if (cmp < 0) | |
high = mid - 1; | |
else | |
return true; | |
} | |
return false; | |
} | |
private static int compare(String a, String b, int matchLen) { | |
assert a.substring(0, matchLen).equals(b.substring(0, matchLen)) : | |
"Prefixes of length " + matchLen + " of " + a + " and " + b + " don't actually match!"; | |
for(int i = matchLen; i < a.length() && i < b.length(); ++i) { | |
if(a.charAt(i) < b.charAt(i)) | |
return -1; | |
if(a.charAt(i) > b.charAt(i)) | |
return 1; | |
} | |
if(a.length() < b.length()) | |
return -1; | |
if(a.length() > b.length()) | |
return 1; | |
return 0; | |
} | |
} |
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