/* * Licensed to the Apache Software Foundation (ASF) under one or more * contributor license agreements. See the NOTICE file distributed with * this work for additional information regarding copyright ownership. * The ASF licenses this file to You under the Apache License, Version 2.0 * (the "License"); you may not use this file except in compliance with * the License. You may obtain a copy of the License at * * http://www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. */ package java.util; import java.io.IOException; import java.io.ObjectInputStream; import java.io.Serializable; import java.nio.ByteBuffer; import java.nio.ByteOrder; import java.nio.LongBuffer; import libcore.io.SizeOf; /** * The {@code BitSet} class implements a * bit array. * Each element is either true or false. A {@code BitSet} is created with a given size and grows * automatically if this size is exceeded. */ public class BitSet implements Serializable, Cloneable { private static final long serialVersionUID = 7997698588986878753L; private static final long ALL_ONES = ~0L; /** * The bits. Access bit n thus: * * boolean bit = (bits[n / 64] | (1 << n)) != 0; * * Note that Java's shift operators truncate their rhs to the log2 size of the lhs. * That is, there's no "% 64" needed because it's implicit in the shift. * * TODO: would int[] be significantly more efficient for Android at the moment? */ private long[] bits; /** * The number of elements of 'bits' that are actually in use (non-zero). Amongst other * things, this guarantees that isEmpty is cheap, because we never have to examine the array. */ private transient int longCount; /** * Updates 'longCount' by inspecting 'bits'. Assumes that the new longCount is <= the current * longCount, to avoid scanning large tracts of empty array. This means it's safe to call * directly after a clear operation that may have cleared the highest set bit, but * not safe after an xor operation that may have cleared the highest set bit or * made a new highest set bit. In that case, you'd need to set 'longCount' to a conservative * estimate before calling this method. */ private void shrinkSize() { int i = longCount - 1; while (i >= 0 && bits[i] == 0) { --i; } this.longCount = i + 1; } /** * Creates a new {@code BitSet} with size equal to 64 bits. */ public BitSet() { this(new long[1]); } /** * Creates a new {@code BitSet} with size equal to {@code bitCount}, rounded up to * a multiple of 64. * * @throws NegativeArraySizeException if {@code bitCount < 0}. */ public BitSet(int bitCount) { if (bitCount < 0) { throw new NegativeArraySizeException(); } this.bits = arrayForBits(bitCount); this.longCount = 0; } private BitSet(long[] bits) { this.bits = bits; this.longCount = bits.length; shrinkSize(); } private static long[] arrayForBits(int bitCount) { return new long[(bitCount + 63)/ 64]; } @Override public Object clone() { try { BitSet clone = (BitSet) super.clone(); clone.bits = bits.clone(); clone.shrinkSize(); return clone; } catch (CloneNotSupportedException e) { throw new AssertionError(e); } } @Override public boolean equals(Object o) { if (this == o) { return true; } if (!(o instanceof BitSet)) { return false; } BitSet lhs = (BitSet) o; if (this.longCount != lhs.longCount) { return false; } for (int i = 0; i < longCount; ++i) { if (bits[i] != lhs.bits[i]) { return false; } } return true; } /** * Ensures that our long[] can hold at least 64 * desiredLongCount bits. */ private void ensureCapacity(int desiredLongCount) { if (desiredLongCount <= bits.length) { return; } int newLength = Math.max(desiredLongCount, bits.length * 2); long[] newBits = new long[newLength]; System.arraycopy(bits, 0, newBits, 0, longCount); this.bits = newBits; // 'longCount' is unchanged by this operation: the long[] is larger, // but you're not yet using any more of it. } @Override public int hashCode() { // The RI doesn't use Arrays.hashCode, and explicitly specifies this algorithm. long x = 1234; for (int i = 0; i < longCount; ++i) { x ^= bits[i] * (i + 1); } return (int) ((x >> 32) ^ x); } /** * Returns the bit at index {@code index}. Indexes greater than the current length return false. * * @throws IndexOutOfBoundsException if {@code index < 0}. */ public boolean get(int index) { if (index < 0) { // TODO: until we have an inlining JIT. checkIndex(index); } int arrayIndex = index / 64; if (arrayIndex >= longCount) { return false; } return (bits[arrayIndex] & (1L << index)) != 0; } /** * Sets the bit at index {@code index} to true. * * @throws IndexOutOfBoundsException if {@code index < 0}. */ public void set(int index) { if (index < 0) { // TODO: until we have an inlining JIT. checkIndex(index); } int arrayIndex = index / 64; if (arrayIndex >= bits.length) { ensureCapacity(arrayIndex + 1); } bits[arrayIndex] |= (1L << index); longCount = Math.max(longCount, arrayIndex + 1); } /** * Clears the bit at index {@code index}. * * @throws IndexOutOfBoundsException if {@code index < 0}. */ public void clear(int index) { if (index < 0) { // TODO: until we have an inlining JIT. checkIndex(index); } int arrayIndex = index / 64; if (arrayIndex >= longCount) { return; } bits[arrayIndex] &= ~(1L << index); shrinkSize(); } /** * Flips the bit at index {@code index}. * * @throws IndexOutOfBoundsException if {@code index < 0}. */ public void flip(int index) { if (index < 0) { // TODO: until we have an inlining JIT. checkIndex(index); } int arrayIndex = index / 64; if (arrayIndex >= bits.length) { ensureCapacity(arrayIndex + 1); } bits[arrayIndex] ^= (1L << index); longCount = Math.max(longCount, arrayIndex + 1); shrinkSize(); } private void checkIndex(int index) { if (index < 0) { throw new IndexOutOfBoundsException("index < 0: " + index); } } private void checkRange(int fromIndex, int toIndex) { if ((fromIndex | toIndex) < 0 || toIndex < fromIndex) { throw new IndexOutOfBoundsException("fromIndex=" + fromIndex + " toIndex=" + toIndex); } } /** * Returns a new {@code BitSet} containing the * range of bits {@code [fromIndex, toIndex)}, shifted down so that the bit * at {@code fromIndex} is at bit 0 in the new {@code BitSet}. * * @throws IndexOutOfBoundsException * if {@code fromIndex} or {@code toIndex} is negative, or if * {@code toIndex} is smaller than {@code fromIndex}. */ public BitSet get(int fromIndex, int toIndex) { checkRange(fromIndex, toIndex); int last = 64 * longCount; if (fromIndex >= last || fromIndex == toIndex) { return new BitSet(0); } if (toIndex > last) { toIndex = last; } int firstArrayIndex = fromIndex / 64; int lastArrayIndex = (toIndex - 1) / 64; long lowMask = ALL_ONES << fromIndex; long highMask = ALL_ONES >>> -toIndex; if (firstArrayIndex == lastArrayIndex) { long result = (bits[firstArrayIndex] & (lowMask & highMask)) >>> fromIndex; if (result == 0) { return new BitSet(0); } return new BitSet(new long[] { result }); } long[] newBits = new long[lastArrayIndex - firstArrayIndex + 1]; // first fill in the first and last indexes in the new BitSet newBits[0] = bits[firstArrayIndex] & lowMask; newBits[newBits.length - 1] = bits[lastArrayIndex] & highMask; // fill in the in between elements of the new BitSet for (int i = 1; i < lastArrayIndex - firstArrayIndex; i++) { newBits[i] = bits[firstArrayIndex + i]; } // shift all the elements in the new BitSet to the right int numBitsToShift = fromIndex % 64; int actualLen = newBits.length; if (numBitsToShift != 0) { for (int i = 0; i < newBits.length; i++) { // shift the current element to the right regardless of // sign newBits[i] = newBits[i] >>> (numBitsToShift); // apply the last x bits of newBits[i+1] to the current // element if (i != newBits.length - 1) { newBits[i] |= newBits[i + 1] << -numBitsToShift; } if (newBits[i] != 0) { actualLen = i + 1; } } } return new BitSet(newBits); } /** * Sets the bit at index {@code index} to {@code state}. * * @throws IndexOutOfBoundsException if {@code index < 0}. */ public void set(int index, boolean state) { if (state) { set(index); } else { clear(index); } } /** * Sets the range of bits {@code [fromIndex, toIndex)} to {@code state}. * * @throws IndexOutOfBoundsException * if {@code fromIndex} or {@code toIndex} is negative, or if * {@code toIndex} is smaller than {@code fromIndex}. */ public void set(int fromIndex, int toIndex, boolean state) { if (state) { set(fromIndex, toIndex); } else { clear(fromIndex, toIndex); } } /** * Clears all the bits in this {@code BitSet}. This method does not change the capacity. * Use {@code clear} if you want to reuse this {@code BitSet} with the same capacity, but * create a new {@code BitSet} if you're trying to potentially reclaim memory. */ public void clear() { Arrays.fill(bits, 0, longCount, 0L); longCount = 0; } /** * Sets the range of bits {@code [fromIndex, toIndex)}. * * @throws IndexOutOfBoundsException * if {@code fromIndex} or {@code toIndex} is negative, or if * {@code toIndex} is smaller than {@code fromIndex}. */ public void set(int fromIndex, int toIndex) { checkRange(fromIndex, toIndex); if (fromIndex == toIndex) { return; } int firstArrayIndex = fromIndex / 64; int lastArrayIndex = (toIndex - 1) / 64; if (lastArrayIndex >= bits.length) { ensureCapacity(lastArrayIndex + 1); } long lowMask = ALL_ONES << fromIndex; long highMask = ALL_ONES >>> -toIndex; if (firstArrayIndex == lastArrayIndex) { bits[firstArrayIndex] |= (lowMask & highMask); } else { int i = firstArrayIndex; bits[i++] |= lowMask; while (i < lastArrayIndex) { bits[i++] |= ALL_ONES; } bits[i++] |= highMask; } longCount = Math.max(longCount, lastArrayIndex + 1); } /** * Clears the range of bits {@code [fromIndex, toIndex)}. * * @throws IndexOutOfBoundsException * if {@code fromIndex} or {@code toIndex} is negative, or if * {@code toIndex} is smaller than {@code fromIndex}. */ public void clear(int fromIndex, int toIndex) { checkRange(fromIndex, toIndex); if (fromIndex == toIndex || longCount == 0) { return; } int last = 64 * longCount; if (fromIndex >= last) { return; } if (toIndex > last) { toIndex = last; } int firstArrayIndex = fromIndex / 64; int lastArrayIndex = (toIndex - 1) / 64; long lowMask = ALL_ONES << fromIndex; long highMask = ALL_ONES >>> -toIndex; if (firstArrayIndex == lastArrayIndex) { bits[firstArrayIndex] &= ~(lowMask & highMask); } else { int i = firstArrayIndex; bits[i++] &= ~lowMask; while (i < lastArrayIndex) { bits[i++] = 0L; } bits[i++] &= ~highMask; } shrinkSize(); } /** * Flips the range of bits {@code [fromIndex, toIndex)}. * * @throws IndexOutOfBoundsException * if {@code fromIndex} or {@code toIndex} is negative, or if * {@code toIndex} is smaller than {@code fromIndex}. */ public void flip(int fromIndex, int toIndex) { checkRange(fromIndex, toIndex); if (fromIndex == toIndex) { return; } int firstArrayIndex = fromIndex / 64; int lastArrayIndex = (toIndex - 1) / 64; if (lastArrayIndex >= bits.length) { ensureCapacity(lastArrayIndex + 1); } long lowMask = ALL_ONES << fromIndex; long highMask = ALL_ONES >>> -toIndex; if (firstArrayIndex == lastArrayIndex) { bits[firstArrayIndex] ^= (lowMask & highMask); } else { int i = firstArrayIndex; bits[i++] ^= lowMask; while (i < lastArrayIndex) { bits[i++] ^= ALL_ONES; } bits[i++] ^= highMask; } longCount = Math.max(longCount, lastArrayIndex + 1); shrinkSize(); } /** * Returns true if {@code this.and(bs)} is non-empty, but may be faster than computing that. */ public boolean intersects(BitSet bs) { long[] bsBits = bs.bits; int length = Math.min(this.longCount, bs.longCount); for (int i = 0; i < length; ++i) { if ((bits[i] & bsBits[i]) != 0L) { return true; } } return false; } /** * Logically ands the bits of this {@code BitSet} with {@code bs}. */ public void and(BitSet bs) { int minSize = Math.min(this.longCount, bs.longCount); for (int i = 0; i < minSize; ++i) { bits[i] &= bs.bits[i]; } Arrays.fill(bits, minSize, longCount, 0L); shrinkSize(); } /** * Clears all bits in this {@code BitSet} which are also set in {@code bs}. */ public void andNot(BitSet bs) { int minSize = Math.min(this.longCount, bs.longCount); for (int i = 0; i < minSize; ++i) { bits[i] &= ~bs.bits[i]; } shrinkSize(); } /** * Logically ors the bits of this {@code BitSet} with {@code bs}. */ public void or(BitSet bs) { int minSize = Math.min(this.longCount, bs.longCount); int maxSize = Math.max(this.longCount, bs.longCount); ensureCapacity(maxSize); for (int i = 0; i < minSize; ++i) { bits[i] |= bs.bits[i]; } if (bs.longCount > minSize) { System.arraycopy(bs.bits, minSize, bits, minSize, maxSize - minSize); } longCount = maxSize; } /** * Logically xors the bits of this {@code BitSet} with {@code bs}. */ public void xor(BitSet bs) { int minSize = Math.min(this.longCount, bs.longCount); int maxSize = Math.max(this.longCount, bs.longCount); ensureCapacity(maxSize); for (int i = 0; i < minSize; ++i) { bits[i] ^= bs.bits[i]; } if (bs.longCount > minSize) { System.arraycopy(bs.bits, minSize, bits, minSize, maxSize - minSize); } longCount = maxSize; shrinkSize(); } /** * Returns the capacity in bits of the array implementing this {@code BitSet}. This is * unrelated to the length of the {@code BitSet}, and not generally useful. * Use {@link #nextSetBit} to iterate, or {@link #length} to find the highest set bit. */ public int size() { return bits.length * 64; } /** * Returns the number of bits up to and including the highest bit set. This is unrelated to * the {@link #size} of the {@code BitSet}. */ public int length() { if (longCount == 0) { return 0; } return 64 * (longCount - 1) + (64 - Long.numberOfLeadingZeros(bits[longCount - 1])); } /** * Returns a string containing a concise, human-readable description of the * receiver: a comma-delimited list of the indexes of all set bits. * For example: {@code "{0,1,8}"}. */ @Override public String toString() { //System.err.println("BitSet[longCount=" + longCount + ",bits=" + Arrays.toString(bits) + "]"); StringBuilder sb = new StringBuilder(longCount / 2); sb.append('{'); boolean comma = false; for (int i = 0; i < longCount; ++i) { if (bits[i] != 0) { for (int j = 0; j < 64; ++j) { if ((bits[i] & 1L << j) != 0) { if (comma) { sb.append(", "); } else { comma = true; } sb.append(64 * i + j); } } } } sb.append('}'); return sb.toString(); } /** * Returns the index of the first bit that is set on or after {@code index}, or -1 * if no higher bits are set. * @throws IndexOutOfBoundsException if {@code index < 0}. */ public int nextSetBit(int index) { checkIndex(index); int arrayIndex = index / 64; if (arrayIndex >= longCount) { return -1; } long mask = ALL_ONES << index; if ((bits[arrayIndex] & mask) != 0) { return 64 * arrayIndex + Long.numberOfTrailingZeros(bits[arrayIndex] & mask); } while (++arrayIndex < longCount && bits[arrayIndex] == 0) { } if (arrayIndex == longCount) { return -1; } return 64 * arrayIndex + Long.numberOfTrailingZeros(bits[arrayIndex]); } /** * Returns the index of the first bit that is clear on or after {@code index}. * Since all bits past the end are implicitly clear, this never returns -1. * @throws IndexOutOfBoundsException if {@code index < 0}. */ public int nextClearBit(int index) { checkIndex(index); int arrayIndex = index / 64; if (arrayIndex >= longCount) { return index; } long mask = ALL_ONES << index; if ((~bits[arrayIndex] & mask) != 0) { return 64 * arrayIndex + Long.numberOfTrailingZeros(~bits[arrayIndex] & mask); } while (++arrayIndex < longCount && bits[arrayIndex] == ALL_ONES) { } if (arrayIndex == longCount) { return size(); } return 64 * arrayIndex + Long.numberOfTrailingZeros(~bits[arrayIndex]); } /** * Returns the index of the first bit that is set on or before {@code index}, or -1 if * no lower bits are set or {@code index == -1}. * @throws IndexOutOfBoundsException if {@code index < -1}. * @hide 1.7 */ public int previousSetBit(int index) { if (index == -1) { return -1; } checkIndex(index); // TODO: optimize this. for (int i = index; i >= 0; --i) { if (get(i)) { return i; } } return -1; } /** * Returns the index of the first bit that is clear on or before {@code index}, or -1 if * no lower bits are clear or {@code index == -1}. * @throws IndexOutOfBoundsException if {@code index < -1}. * @hide 1.7 */ public int previousClearBit(int index) { if (index == -1) { return -1; } checkIndex(index); // TODO: optimize this. for (int i = index; i >= 0; --i) { if (!get(i)) { return i; } } return -1; } /** * Returns true if all the bits in this {@code BitSet} are set to false, false otherwise. */ public boolean isEmpty() { return (longCount == 0); } /** * Returns the number of bits that are {@code true} in this {@code BitSet}. */ public int cardinality() { int result = 0; for (int i = 0; i < longCount; ++i) { result += Long.bitCount(bits[i]); } return result; } /** * Equivalent to {@code BitSet.valueOf(LongBuffer.wrap(longs))}, but likely to be faster. * This is likely to be the fastest way to create a {@code BitSet} because it's closest * to the internal representation. * @hide 1.7 */ public static BitSet valueOf(long[] longs) { return new BitSet(longs.clone()); } /** * Returns a {@code BitSet} corresponding to {@code longBuffer}, interpreted as a little-endian * sequence of bits. This method does not alter the {@code LongBuffer}. * @hide 1.7 */ public static BitSet valueOf(LongBuffer longBuffer) { // The bulk get would mutate LongBuffer (even if we reset position later), and it's not // clear that's allowed. My assumption is that it's the long[] variant that's the common // case anyway, so copy the buffer into a long[]. long[] longs = new long[longBuffer.remaining()]; for (int i = 0; i < longs.length; ++i) { longs[i] = longBuffer.get(longBuffer.position() + i); } return BitSet.valueOf(longs); } /** * Equivalent to {@code BitSet.valueOf(ByteBuffer.wrap(bytes))}. * @hide 1.7 */ public static BitSet valueOf(byte[] bytes) { return BitSet.valueOf(ByteBuffer.wrap(bytes)); } /** * Returns a {@code BitSet} corresponding to {@code byteBuffer}, interpreted as a little-endian * sequence of bits. This method does not alter the {@code ByteBuffer}. * @hide 1.7 */ public static BitSet valueOf(ByteBuffer byteBuffer) { byteBuffer = byteBuffer.slice().order(ByteOrder.LITTLE_ENDIAN); long[] longs = arrayForBits(byteBuffer.remaining() * 8); int i = 0; while (byteBuffer.remaining() >= SizeOf.LONG) { longs[i++] = byteBuffer.getLong(); } for (int j = 0; byteBuffer.hasRemaining(); ++j) { longs[i] |= ((((long) byteBuffer.get()) & 0xff) << (8*j)); } return BitSet.valueOf(longs); } /** * Returns a new {@code long[]} containing a little-endian representation of the bits of * this {@code BitSet}, suitable for passing to {@code valueOf} to reconstruct * this {@code BitSet}. * @hide 1.7 */ public long[] toLongArray() { return Arrays.copyOf(bits, longCount); } /** * Returns a new {@code byte[]} containing a little-endian representation the bits of * this {@code BitSet}, suitable for passing to {@code valueOf} to reconstruct * this {@code BitSet}. * @hide 1.7 */ public byte[] toByteArray() { int bitCount = length(); byte[] result = new byte[(bitCount + 7)/ 8]; for (int i = 0; i < result.length; ++i) { int lowBit = 8 * i; int arrayIndex = lowBit / 64; result[i] = (byte) (bits[arrayIndex] >>> lowBit); } return result; } private void readObject(ObjectInputStream ois) throws IOException, ClassNotFoundException { ois.defaultReadObject(); // The serialized form doesn't include a 'longCount' field, so we'll have to scan the array. this.longCount = this.bits.length; shrinkSize(); } }