* @date October 23, 1998.
 * @status API complete to JDK 1.3.
 */
public class BitSet implements Cloneable, Serializable
{
  /**
   * Create a new empty bit set.
   */
  public BitSet()
  {
    this(64);
  }
  /**
   * Create a new empty bit set, with a given size.  This
   * constructor reserves enough space to represent the integers
   * from 0 to nbits-1.  
   * @param nbits the initial size of the bit set.
   * @throws NegativeArraySizeException if the specified initial
   * size is negative.  
   * @require nbits >= 0
   */
  public BitSet(int nbits)
  {
    if (nbits < 0)
      throw new NegativeArraySizeException();
    int length = nbits / 64;
    if (nbits % 64 != 0)
      ++length;
    bits = new long[length];
  }
  /**
   * Performs the logical AND operation on this bit set and the
   * given set.  This means it builds the intersection
   * of the two sets.  The result is stored into this bit set.
   * @param set the second bit set.
   * @require set != null
   */
  public void and(BitSet bs)
  {
    int max = Math.min(bits.length, bs.bits.length);
    int i;
    for (i = 0; i < max; ++i)
      bits[i] &= bs.bits[i];
    for (; i < bits.length; ++i)
      bits[i] = 0;
  }
  /**
   * Performs the logical AND operation on this bit set and the
   * complement of the given set.  This means it
   * selects every element in the first set, that isn't in the
   * second set.  The result is stored into this bit set.  
   * @param set the second bit set.  
   * @require set != null
   * @since JDK1.2
   */
  public void andNot(BitSet bs)
  {
    int max = Math.min(bits.length, bs.bits.length);
    int i;
    for (i = 0; i < max; ++i)
      bits[i] &= ~bs.bits[i];
  }
  /**
   * Removes the integer bitIndex from this set. That is
   * the corresponding bit is cleared.  If the index is not in the set,
   * this method does nothing.
   * @param bitIndex a non-negative integer.
   * @exception ArrayIndexOutOfBoundsException if the specified bit index
   * is negative.
   * @require bitIndex >= 0
   */
  public void clear(int pos)
  {
    if (pos < 0)
      throw new IndexOutOfBoundsException();
    int bit = pos % 64;
    int offset = pos / 64;
    ensure(offset);
    bits[offset] &= ~(1L << bit);
  }
  /**
   * Create a clone of this bit set, that is an instance of the same
   * class and contains the same elements.  But it doesn't change when
   * this bit set changes.
   * @return the clone of this object.
   */
  public Object clone()
  {
    BitSet bs = new BitSet(bits.length * 64);
    System.arraycopy(bits, 0, bs.bits, 0, bits.length);
    return bs;
  }
  /**
   * Returns true if the obj is a bit set that contains
   * exactly the same elements as this bit set, otherwise false.
   * @return true if obj equals this bit set.
   */
  public boolean equals(Object obj)
  {
    if (!(obj instanceof BitSet))
      return false;
    BitSet bs = (BitSet) obj;
    int max = Math.min(bits.length, bs.bits.length);
    int i;
    for (i = 0; i < max; ++i)
      if (bits[i] != bs.bits[i])
	return false;
    // If one is larger, check to make sure all extra bits are 0.
    for (int j = i; j < bits.length; ++j)
      if (bits[j] != 0)
	return false;
    for (int j = i; j < bs.bits.length; ++j)
      if (bs.bits[j] != 0)
	return false;
    return true;
  }
  /**
   * Returns true if the integer bitIndex is in this bit
   * set, otherwise false.
   * @param bitIndex a non-negative integer
   * @return the value of the bit at the specified index.
   * @exception ArrayIndexOutOfBoundsException if the specified bit index
   * is negative.
   * @require bitIndex >= 0
   */
  public boolean get(int pos)
  {
    if (pos < 0)
      throw new IndexOutOfBoundsException();
    int bit = pos % 64;
    int offset = pos / 64;
    if (offset >= bits.length)
      return false;
    return (bits[offset] & (1L << bit)) == 0 ? false : true;
  }
  /**
   * Returns a hash code value for this bit set.  The hash code of 
   * two bit sets containing the same integers is identical.  The algorithm
   * used to compute it is as follows:
   *
   * Suppose the bits in the BitSet were to be stored in an array of
   * long integers called bits, in such a manner that
   * bit k is set in the BitSet (for non-negative values
   * of k) if and only if
   *
   * 
   * ((k/64) < bits.length) && ((bits[k/64] & (1L << (bit % 64))) != 0)
   * 
   *
   * 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 = bits.length-1; i>=0; i--) {
   *         h ^= bits[i] * (i + 1);
   *     }
   *     return (int)((h >> 32) ^ h);
   * }
   * 
   *
   * Note that the hash code values changes, if the set is changed.
   * @return the hash code value for this bit set.
   */
  public int hashCode()
  {
    long h = 1234;
    for (int i = bits.length - 1; i >= 0; --i)
      h ^= bits[i] * (i + 1);
    return (int) ((h >> 32) ^ h);
  }
  /**
   * Returns the logical number of bits actually used by this bit
   * set.  It returns the index of the highest set bit plus one.
   * Note that this method doesn't return the number of set bits.
   * @return the index of the highest set bit plus one.  
   */
  public int length()
  {
    // Set i to highest index that contains a non-zero value.
    int i;
    for (i = bits.length - 1; i >= 0 && bits[i] == 0; --i)
      ;
    // if i < 0 all bits are cleared.
    if (i < 0)
      return 0;
    // Now determine the exact length.
    long b = bits[i];
    int len = (i + 1) * 64;
    // b >= 0 checks if the highest bit is zero.
    while (b >= 0)
      {
	--len;
	b <<= 1;
      }
    return len;
  }
  /**
   * Performs the logical OR operation on this bit set and the
   * given set.  This means it builds the union
   * of the two sets.  The result is stored into this bit set, which
   * grows as necessary.
   * @param set the second bit set.
   * @exception OutOfMemoryError if the current set can't grow.
   * @require set != null
   */
  public void or(BitSet bs)
  {
    ensure(bs.bits.length - 1);
    int i;
    for (i = 0; i < bs.bits.length; ++i)
      bits[i] |= bs.bits[i];
  }
  /**
   * Add the integer bitIndex to this set.  That is 
   * the corresponding bit is set to true.  If the index was already in
   * the set, this method does nothing.  The size of this structure
   * is automatically increased as necessary.
   * @param bitIndex a non-negative integer.
   * @exception ArrayIndexOutOfBoundsException if the specified bit index
   * is negative.
   * @require bitIndex >= 0
   */
  public void set(int pos)
  {
    if (pos < 0)
      throw new IndexOutOfBoundsException();
    int bit = pos % 64;
    int offset = pos / 64;
    ensure(offset);
    bits[offset] |= 1L << bit;
  }
  /**
   * Returns the number of bits actually used by this bit set.  Note
   * that this method doesn't return the number of set bits.
   * @returns the number of bits currently used.  
   */
  public int size()
  {
    return bits.length * 64;
  }
  /**
   * Returns the string representation of this bit set.  This
   * consists of a comma separated list of the integers in this set
   * surrounded by curly braces.  There is a space after each comma.
   * @return the string representation.
   */
  public String toString()
  {
    String r = "{";
    boolean first = true;
    for (int i = 0; i < bits.length; ++i)
      {
	long bit = 1;
	long word = bits[i];
	if (word == 0)
	  continue;
	for (int j = 0; j < 64; ++j)
	  {
	    if ((word & bit) != 0)
	      {
		if (!first)
		  r += ", ";
		r += Integer.toString(64 * i + j);
		first = false;
	      }
	    bit <<= 1;
	  }
      }
    return r += "}";
  }
  /**
   * Performs the logical XOR operation on this bit set and the
   * given set.  This means it builds the symmetric
   * remainder of the two sets (the elements that are in one set,
   * but not in the other).  The result is stored into this bit set,
   * which grows as necessary.  
   * @param set the second bit set.
   * @exception OutOfMemoryError if the current set can't grow.  
   * @require set != null
   */
  public void xor(BitSet bs)
  {
    ensure(bs.bits.length - 1);
    int i;
    for (i = 0; i < bs.bits.length; ++i)
      bits[i] ^= bs.bits[i];
  }
  // Make sure the vector is big enough.
  private final void ensure(int lastElt)
  {
    if (lastElt + 1 > bits.length)
      {
	long[] nd = new long[lastElt + 1];
	System.arraycopy(bits, 0, nd, 0, bits.length);
	bits = nd;
      }
  }
  // The actual bits.
  long[] bits;
  private static final long serialVersionUID = 7997698588986878753L;
}