FileDocCategorySizeDatePackage
BitSet.javaAPI DocJava SE 6 API30549Tue Jun 10 00:25:52 BST 2008java.util

BitSet

public class BitSet extends Object implements Cloneable, Serializable
This class implements a vector of bits that grows as needed. Each component of the bit set has a boolean value. The bits of a BitSet are indexed by nonnegative integers. Individual indexed bits can be examined, set, or cleared. One BitSet may be used to modify the contents of another BitSet through logical AND, logical inclusive OR, and logical exclusive OR operations.

By default, all bits in the set initially have the value false.

Every bit set has a current size, which is the number of bits of space currently in use by the bit set. Note that the size is related to the implementation of a bit set, so it may change with implementation. The length of a bit set relates to logical length of a bit set and is defined independently of implementation.

Unless otherwise noted, passing a null parameter to any of the methods in a BitSet will result in a NullPointerException.

A BitSet is not safe for multithreaded use without external synchronization.

author
Arthur van Hoff
author
Michael McCloskey
author
Martin Buchholz
version
1.67, 04/07/06
since
JDK1.0

Fields Summary
private static final int
ADDRESS_BITS_PER_WORD
private static final int
BITS_PER_WORD
private static final int
BIT_INDEX_MASK
private static final long
WORD_MASK
private static final ObjectStreamField[]
serialPersistentFields
private long[]
words
The internal field corresponding to the serialField "bits".
private transient int
wordsInUse
The number of words in the logical size of this BitSet.
private transient boolean
sizeIsSticky
Whether the size of "words" is user-specified. If so, we assume the user knows what he's doing and try harder to preserve it.
private static final long
serialVersionUID
Constructors Summary
public BitSet()
Creates a new bit set. All bits are initially false.

	initWords(BITS_PER_WORD);
	sizeIsSticky = false;
    
public BitSet(int nbits)
Creates a bit set whose initial size is large enough to explicitly represent bits with indices in the range 0 through nbits-1. All bits are initially false.

param
nbits the initial size of the bit set.
exception
NegativeArraySizeException if the specified initial size is negative.

	// nbits can't be negative; size 0 is OK
	if (nbits < 0)
	    throw new NegativeArraySizeException("nbits < 0: " + nbits);

	initWords(nbits);
	sizeIsSticky = true;
    
Methods Summary
public voidand(java.util.BitSet set)
Performs a logical AND of this target bit set with the argument bit set. This bit set is modified so that each bit in it has the value true if and only if it both initially had the value true and the corresponding bit in the bit set argument also had the value true.

param
set a bit set.

	if (this == set)
	    return;

	while (wordsInUse > set.wordsInUse)
	    words[--wordsInUse] = 0;

	// Perform logical AND on words in common
	for (int i = 0; i < wordsInUse; i++)
	    words[i] &= set.words[i];

	recalculateWordsInUse();
	checkInvariants();
    
public voidandNot(java.util.BitSet set)
Clears all of the bits in this BitSet whose corresponding bit is set in the specified BitSet.

param
set the BitSet with which to mask this BitSet.
since
1.2

	// Perform logical (a & !b) on words in common
        for (int i = Math.min(wordsInUse, set.wordsInUse) - 1; i >= 0; i--)
	    words[i] &= ~set.words[i];

        recalculateWordsInUse();
	checkInvariants();
    
public intcardinality()
Returns the number of bits set to true in this BitSet.

return
the number of bits set to true in this BitSet.
since
1.4

        int sum = 0;
        for (int i = 0; i < wordsInUse; i++)
            sum += Long.bitCount(words[i]);
        return sum;
    
private voidcheckInvariants()
Every public method must preserve these invariants.

	assert(wordsInUse == 0 || words[wordsInUse - 1] != 0);
	assert(wordsInUse >= 0 && wordsInUse <= words.length);
	assert(wordsInUse == words.length || words[wordsInUse] == 0);
    
private static voidcheckRange(int fromIndex, int toIndex)
Checks that fromIndex ... toIndex is a valid range of bit indices.

	if (fromIndex < 0)
	    throw new IndexOutOfBoundsException("fromIndex < 0: " + fromIndex);
        if (toIndex < 0)
	    throw new IndexOutOfBoundsException("toIndex < 0: " + toIndex);
        if (fromIndex > toIndex)
	    throw new IndexOutOfBoundsException("fromIndex: " + fromIndex +
                                                " > toIndex: " + toIndex);
    
public voidclear(int bitIndex)
Sets the bit specified by the index to false.

param
bitIndex the index of the bit to be cleared.
exception
IndexOutOfBoundsException if the specified index is negative.
since
JDK1.0

	if (bitIndex < 0)
	    throw new IndexOutOfBoundsException("bitIndex < 0: " + bitIndex);

	int wordIndex = wordIndex(bitIndex);
	if (wordIndex >= wordsInUse)
	    return;

	words[wordIndex] &= ~(1L << bitIndex);

	recalculateWordsInUse();
	checkInvariants();
    
public voidclear(int fromIndex, int toIndex)
Sets the bits from the specified fromIndex (inclusive) to the specified toIndex (exclusive) to false.

param
fromIndex index of the first bit to be cleared.
param
toIndex index after the last bit to be cleared.
exception
IndexOutOfBoundsException if fromIndex is negative, or toIndex is negative, or fromIndex is larger than toIndex.
since
1.4

	checkRange(fromIndex, toIndex);

	if (fromIndex == toIndex)
	    return;

        int startWordIndex = wordIndex(fromIndex);
	if (startWordIndex >= wordsInUse)
	    return;

        int endWordIndex = wordIndex(toIndex - 1);
	if (endWordIndex >= wordsInUse) {
	    toIndex = length();
	    endWordIndex = wordsInUse - 1;
	}

	long firstWordMask = WORD_MASK << fromIndex;
	long lastWordMask  = WORD_MASK >>> -toIndex;
        if (startWordIndex == endWordIndex) {
            // Case 1: One word
            words[startWordIndex] &= ~(firstWordMask & lastWordMask);
        } else {
	    // Case 2: Multiple words
	    // Handle first word
	    words[startWordIndex] &= ~firstWordMask;

	    // Handle intermediate words, if any
	    for (int i = startWordIndex+1; i < endWordIndex; i++)
		words[i] = 0;

	    // Handle last word
	    words[endWordIndex] &= ~lastWordMask;
	}

	recalculateWordsInUse();
	checkInvariants();
    
public voidclear()
Sets all of the bits in this BitSet to false.

since
1.4

        while (wordsInUse > 0)
            words[--wordsInUse] = 0;
    
public java.lang.Objectclone()
Cloning this BitSet produces a new BitSet that is equal to it. The clone of the bit set is another bit set that has exactly the same bits set to true as this bit set.

Overrides the clone method of Object.

return
a clone of this bit set.
see
java.util.BitSet#size()

	if (! sizeIsSticky)
	    trimToSize();

	try {
	    BitSet result = (BitSet) super.clone();
	    result.words = words.clone();
	    result.checkInvariants();
	    return result;
	} catch (CloneNotSupportedException e) {
	    throw new InternalError();
	}
    
private voidensureCapacity(int wordsRequired)
Ensures that the BitSet can hold enough words.

param
wordsRequired the minimum acceptable number of words.

	if (words.length < wordsRequired) {
	    // Allocate larger of doubled size or required size
	    int request = Math.max(2 * words.length, wordsRequired);
            words = Arrays.copyOf(words, request);
            sizeIsSticky = false;
        }
    
public booleanequals(java.lang.Object obj)
Compares this object against the specified object. The result is true if and only if the argument is not null and is a Bitset object that has exactly the same set of bits set to true as this bit set. That is, for every nonnegative int index k,
((BitSet)obj).get(k) == this.get(k)
must be true. The current sizes of the two bit sets are not compared.

Overrides the equals method of Object.

param
obj the object to compare with.
return
true if the objects are the same; false otherwise.
see
java.util.BitSet#size()

	if (!(obj instanceof BitSet))
	    return false;
	if (this == obj)
	    return true;

	BitSet set = (BitSet) obj;

	checkInvariants();
	set.checkInvariants();

	if (wordsInUse != set.wordsInUse)
            return false;

	// Check words in use by both BitSets
	for (int i = 0; i < wordsInUse; i++)
	    if (words[i] != set.words[i])
		return false;

	return true;
    
private voidexpandTo(int wordIndex)
Ensures that the BitSet can accommodate a given wordIndex, temporarily violating the invariants. The caller must restore the invariants before returning to the user, possibly using recalculateWordsInUse().

param
wordIndex the index to be accommodated.

	int wordsRequired = wordIndex+1;
	if (wordsInUse < wordsRequired) {
	    ensureCapacity(wordsRequired);
	    wordsInUse = wordsRequired;
	}
    
public voidflip(int bitIndex)
Sets the bit at the specified index to the complement of its current value.

param
bitIndex the index of the bit to flip.
exception
IndexOutOfBoundsException if the specified index is negative.
since
1.4

	if (bitIndex < 0)
	    throw new IndexOutOfBoundsException("bitIndex < 0: " + bitIndex);

	int wordIndex = wordIndex(bitIndex);
	expandTo(wordIndex);

	words[wordIndex] ^= (1L << bitIndex);

	recalculateWordsInUse();
	checkInvariants();
    
public voidflip(int fromIndex, int toIndex)
Sets each bit from the specified fromIndex (inclusive) to the specified toIndex (exclusive) to the complement of its current value.

param
fromIndex index of the first bit to flip.
param
toIndex index after the last bit to flip.
exception
IndexOutOfBoundsException if fromIndex is negative, or toIndex is negative, or fromIndex is larger than toIndex.
since
1.4

	checkRange(fromIndex, toIndex);

	if (fromIndex == toIndex)
	    return;

        int startWordIndex = wordIndex(fromIndex);
        int endWordIndex   = wordIndex(toIndex - 1);
	expandTo(endWordIndex);

	long firstWordMask = WORD_MASK << fromIndex;
	long lastWordMask  = WORD_MASK >>> -toIndex;
        if (startWordIndex == endWordIndex) {
            // Case 1: One word
            words[startWordIndex] ^= (firstWordMask & lastWordMask);
        } else {
	    // Case 2: Multiple words
	    // Handle first word
	    words[startWordIndex] ^= firstWordMask;

	    // Handle intermediate words, if any
	    for (int i = startWordIndex+1; i < endWordIndex; i++)
		words[i] ^= WORD_MASK;

	    // Handle last word
	    words[endWordIndex] ^= lastWordMask;
	}

	recalculateWordsInUse();
	checkInvariants();
    
public booleanget(int bitIndex)
Returns the value of the bit with the specified index. The value is true if the bit with the index bitIndex is currently set in this BitSet; otherwise, the result is false.

param
bitIndex the bit index.
return
the value of the bit with the specified index.
exception
IndexOutOfBoundsException if the specified index is negative.

	if (bitIndex < 0)
	    throw new IndexOutOfBoundsException("bitIndex < 0: " + bitIndex);

	checkInvariants();

	int wordIndex = wordIndex(bitIndex);
	return (wordIndex < wordsInUse)
	    && ((words[wordIndex] & (1L << bitIndex)) != 0);
    
public java.util.BitSetget(int fromIndex, int toIndex)
Returns a new BitSet composed of bits from this BitSet from fromIndex (inclusive) to toIndex (exclusive).

param
fromIndex index of the first bit to include.
param
toIndex index after the last bit to include.
return
a new BitSet from a range of this BitSet.
exception
IndexOutOfBoundsException if fromIndex is negative, or toIndex is negative, or fromIndex is larger than toIndex.
since
1.4

	checkRange(fromIndex, toIndex);

	checkInvariants();

	int len = length();

        // If no set bits in range return empty bitset
        if (len <= fromIndex || fromIndex == toIndex)
            return new BitSet(0);

        // An optimization
        if (toIndex > len)
            toIndex = len;

        BitSet result = new BitSet(toIndex - fromIndex);
        int targetWords = wordIndex(toIndex - fromIndex - 1) + 1;
        int sourceIndex = wordIndex(fromIndex);
	boolean wordAligned = ((fromIndex & BIT_INDEX_MASK) == 0);

        // Process all words but the last word
        for (int i = 0; i < targetWords - 1; i++, sourceIndex++)
            result.words[i] = wordAligned ? words[sourceIndex] :
		(words[sourceIndex] >>> fromIndex) |
		(words[sourceIndex+1] << -fromIndex);

        // Process the last word
	long lastWordMask = WORD_MASK >>> -toIndex;
        result.words[targetWords - 1] =
	    ((toIndex-1) & BIT_INDEX_MASK) < (fromIndex & BIT_INDEX_MASK)
	    ? /* straddles source words */
	    ((words[sourceIndex] >>> fromIndex) |
	     (words[sourceIndex+1] & lastWordMask) << -fromIndex)
	    :
	    ((words[sourceIndex] & lastWordMask) >>> fromIndex);

        // Set wordsInUse correctly
        result.wordsInUse = targetWords;
        result.recalculateWordsInUse();
	result.checkInvariants();

	return result;
    
public inthashCode()
Returns a hash code value for this bit set. The hash code depends only on which bits have been set within this BitSet. The algorithm used to compute it may be described as follows.

Suppose the bits in the BitSet were to be stored in an array of long integers called, say, words, in such a manner that bit k is set in the BitSet (for nonnegative values of k) if and only if the expression

((k>>6) < words.length) && ((words[k>>6] & (1L << (bit & 0x3F))) != 0)
is true. Then the following definition of the hashCode method would be a correct implementation of the actual algorithm:
public int hashCode() {
long h = 1234;
for (int i = words.length; --i >= 0; ) {
h ^= words[i] * (i + 1);
}
return (int)((h >> 32) ^ h);
}
Note that the hash code values change if the set of bits is altered.

Overrides the hashCode method of Object.

return
a hash code value for this bit set.

	long h = 1234;
	for (int i = wordsInUse; --i >= 0; )
            h ^= words[i] * (i + 1);

	return (int)((h >> 32) ^ h);
    
private voidinitWords(int nbits)

	words = new long[wordIndex(nbits-1) + 1];
    
public booleanintersects(java.util.BitSet set)
Returns true if the specified BitSet has any bits set to true that are also set to true in this BitSet.

param
set BitSet to intersect with
return
boolean indicating whether this BitSet intersects the specified BitSet.
since
1.4

        for (int i = Math.min(wordsInUse, set.wordsInUse) - 1; i >= 0; i--)
            if ((words[i] & set.words[i]) != 0)
                return true;
        return false;
    
public booleanisEmpty()
Returns true if this BitSet contains no bits that are set to true.

return
boolean indicating whether this BitSet is empty.
since
1.4

        return wordsInUse == 0;
    
public intlength()
Returns the "logical size" of this BitSet: the index of the highest set bit in the BitSet plus one. Returns zero if the BitSet contains no set bits.

return
the logical size of this BitSet.
since
1.2

        if (wordsInUse == 0)
            return 0;

        return BITS_PER_WORD * (wordsInUse - 1) +
	    (BITS_PER_WORD - Long.numberOfLeadingZeros(words[wordsInUse - 1]));
    
public intnextClearBit(int fromIndex)
Returns the index of the first bit that is set to false that occurs on or after the specified starting index.

param
fromIndex the index to start checking from (inclusive).
return
the index of the next clear bit.
throws
IndexOutOfBoundsException if the specified index is negative.
since
1.4

	// Neither spec nor implementation handle bitsets of maximal length.
	// See 4816253.
	if (fromIndex < 0)
	    throw new IndexOutOfBoundsException("fromIndex < 0: " + fromIndex);

	checkInvariants();

        int u = wordIndex(fromIndex);
        if (u >= wordsInUse)
            return fromIndex;

	long word = ~words[u] & (WORD_MASK << fromIndex);

	while (true) {
	    if (word != 0)
		return (u * BITS_PER_WORD) + Long.numberOfTrailingZeros(word);
	    if (++u == wordsInUse)
		return wordsInUse * BITS_PER_WORD;
	    word = ~words[u];
	}
    
public intnextSetBit(int fromIndex)
Returns the index of the first bit that is set to true that occurs on or after the specified starting index. If no such bit exists then -1 is returned. To iterate over the true bits in a BitSet, use the following loop:
for (int i = bs.nextSetBit(0); i >= 0; i = bs.nextSetBit(i+1)) {
// operate on index i here
}

param
fromIndex the index to start checking from (inclusive).
return
the index of the next set bit.
throws
IndexOutOfBoundsException if the specified index is negative.
since
1.4

	if (fromIndex < 0)
	    throw new IndexOutOfBoundsException("fromIndex < 0: " + fromIndex);

	checkInvariants();

        int u = wordIndex(fromIndex);
        if (u >= wordsInUse)
            return -1;

	long word = words[u] & (WORD_MASK << fromIndex);

	while (true) {
	    if (word != 0)
		return (u * BITS_PER_WORD) + Long.numberOfTrailingZeros(word);
	    if (++u == wordsInUse)
		return -1;
	    word = words[u];
	}
    
public voidor(java.util.BitSet set)
Performs a logical OR of this bit set with the bit set argument. This bit set is modified so that a bit in it has the value true if and only if it either already had the value true or the corresponding bit in the bit set argument has the value true.

param
set a bit set.

	if (this == set)
	    return;

	int wordsInCommon = Math.min(wordsInUse, set.wordsInUse);

        if (wordsInUse < set.wordsInUse) {
            ensureCapacity(set.wordsInUse);
            wordsInUse = set.wordsInUse;
        }

	// Perform logical OR on words in common
	for (int i = 0; i < wordsInCommon; i++)
	    words[i] |= set.words[i];

	// Copy any remaining words
	if (wordsInCommon < set.wordsInUse)
	    System.arraycopy(set.words, wordsInCommon,
			     words, wordsInCommon,
			     wordsInUse - wordsInCommon);

	// recalculateWordsInUse() is unnecessary
	checkInvariants();
    
private voidreadObject(java.io.ObjectInputStream s)
Reconstitute the BitSet instance from a stream (i.e., deserialize it).


	ObjectInputStream.GetField fields = s.readFields();
	words = (long[]) fields.get("bits", null);

        // Assume maximum length then find real length
        // because recalculateWordsInUse assumes maintenance
        // or reduction in logical size
        wordsInUse = words.length;
        recalculateWordsInUse();
	sizeIsSticky = (words.length > 0 && words[words.length-1] == 0L); // heuristic
	checkInvariants();
    
private voidrecalculateWordsInUse()
Set the field wordsInUse with the logical size in words of the bit set. WARNING:This method assumes that the number of words actually in use is less than or equal to the current value of wordsInUse!

        // Traverse the bitset until a used word is found
        int i;
        for (i = wordsInUse-1; i >= 0; i--)
	    if (words[i] != 0)
		break;

        wordsInUse = i+1; // The new logical size
    
public voidset(int bitIndex)
Sets the bit at the specified index to true.

param
bitIndex a bit index.
exception
IndexOutOfBoundsException if the specified index is negative.
since
JDK1.0

	if (bitIndex < 0)
	    throw new IndexOutOfBoundsException("bitIndex < 0: " + bitIndex);

        int wordIndex = wordIndex(bitIndex);
	expandTo(wordIndex);

	words[wordIndex] |= (1L << bitIndex); // Restores invariants

	checkInvariants();
    
public voidset(int bitIndex, boolean value)
Sets the bit at the specified index to the specified value.

param
bitIndex a bit index.
param
value a boolean value to set.
exception
IndexOutOfBoundsException if the specified index is negative.
since
1.4

        if (value)
            set(bitIndex);
        else
            clear(bitIndex);
    
public voidset(int fromIndex, int toIndex)
Sets the bits from the specified fromIndex (inclusive) to the specified toIndex (exclusive) to true.

param
fromIndex index of the first bit to be set.
param
toIndex index after the last bit to be set.
exception
IndexOutOfBoundsException if fromIndex is negative, or toIndex is negative, or fromIndex is larger than toIndex.
since
1.4

	checkRange(fromIndex, toIndex);

	if (fromIndex == toIndex)
	    return;

        // Increase capacity if necessary
        int startWordIndex = wordIndex(fromIndex);
        int endWordIndex   = wordIndex(toIndex - 1);
	expandTo(endWordIndex);

	long firstWordMask = WORD_MASK << fromIndex;
	long lastWordMask  = WORD_MASK >>> -toIndex;
        if (startWordIndex == endWordIndex) {
            // Case 1: One word
	    words[startWordIndex] |= (firstWordMask & lastWordMask);
        } else {
	    // Case 2: Multiple words
	    // Handle first word
	    words[startWordIndex] |= firstWordMask;

	    // Handle intermediate words, if any
	    for (int i = startWordIndex+1; i < endWordIndex; i++)
		words[i] = WORD_MASK;

	    // Handle last word (restores invariants)
	    words[endWordIndex] |= lastWordMask;
	}

	checkInvariants();
    
public voidset(int fromIndex, int toIndex, boolean value)
Sets the bits from the specified fromIndex (inclusive) to the specified toIndex (exclusive) to the specified value.

param
fromIndex index of the first bit to be set.
param
toIndex index after the last bit to be set
param
value value to set the selected bits to
exception
IndexOutOfBoundsException if fromIndex is negative, or toIndex is negative, or fromIndex is larger than toIndex.
since
1.4

	if (value)
            set(fromIndex, toIndex);
        else
            clear(fromIndex, toIndex);
    
public intsize()
Returns the number of bits of space actually in use by this BitSet to represent bit values. The maximum element in the set is the size - 1st element.

return
the number of bits currently in this bit set.

	return words.length * BITS_PER_WORD;
    
public java.lang.StringtoString()
Returns a string representation of this bit set. For every index for which this BitSet contains a bit in the set state, the decimal representation of that index is included in the result. Such indices are listed in order from lowest to highest, separated by ", " (a comma and a space) and surrounded by braces, resulting in the usual mathematical notation for a set of integers.

Overrides the toString method of Object.

Example:

BitSet drPepper = new BitSet();
Now drPepper.toString() returns "{}".

drPepper.set(2);
Now drPepper.toString() returns "{2}".

drPepper.set(4);
drPepper.set(10);
Now drPepper.toString() returns "{2, 4, 10}".

return
a string representation of this bit set.

	checkInvariants();

	int numBits = (wordsInUse > 128) ?
	    cardinality() : wordsInUse * BITS_PER_WORD;
	StringBuilder b = new StringBuilder(6*numBits + 2);
	b.append('{");

	int i = nextSetBit(0);
	if (i != -1) {
	    b.append(i);
	    for (i = nextSetBit(i+1); i >= 0; i = nextSetBit(i+1)) {
		int endOfRun = nextClearBit(i);
		do { b.append(", ").append(i); }
		while (++i < endOfRun);
	    }
        }

	b.append('}");
	return b.toString();
    
private voidtrimToSize()
Attempts to reduce internal storage used for the bits in this bit set. Calling this method may, but is not required to, affect the value returned by a subsequent call to the {@link #size()} method.

	if (wordsInUse != words.length) {
            words = Arrays.copyOf(words, wordsInUse);
	    checkInvariants();
	}
    
private static intwordIndex(int bitIndex)
Given a bit index, return word index containing it.


                  
         
        return bitIndex >> ADDRESS_BITS_PER_WORD;
    
private voidwriteObject(java.io.ObjectOutputStream s)
Save the state of the BitSet instance to a stream (i.e., serialize it).


	checkInvariants();

	if (! sizeIsSticky)
	    trimToSize();

	ObjectOutputStream.PutField fields = s.putFields();
	fields.put("bits", words);
	s.writeFields();
    
public voidxor(java.util.BitSet set)
Performs a logical XOR of this bit set with the bit set argument. This bit set is modified so that a bit in it has the value true if and only if one of the following statements holds:
  • The bit initially has the value true, and the corresponding bit in the argument has the value false.
  • The bit initially has the value false, and the corresponding bit in the argument has the value true.

param
set a bit set.

        int wordsInCommon = Math.min(wordsInUse, set.wordsInUse);

        if (wordsInUse < set.wordsInUse) {
            ensureCapacity(set.wordsInUse);
            wordsInUse = set.wordsInUse;
        }

	// Perform logical XOR on words in common
        for (int i = 0; i < wordsInCommon; i++)
	    words[i] ^= set.words[i];

	// Copy any remaining words
	if (wordsInCommon < set.wordsInUse)
	    System.arraycopy(set.words, wordsInCommon,
			     words, wordsInCommon,
			     set.wordsInUse - wordsInCommon);

        recalculateWordsInUse();
	checkInvariants();