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/*
 * 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 com.hazelcast.org.apache.calcite.util;

import com.hazelcast.org.apache.calcite.linq4j.Linq4j;
import com.hazelcast.org.apache.calcite.runtime.Utilities;
import com.hazelcast.org.apache.calcite.util.mapping.Mappings;

import com.hazelcast.com.google.common.collect.ImmutableList;
import com.hazelcast.com.google.common.collect.ImmutableSortedMap;
import com.hazelcast.com.google.common.collect.Ordering;

import com.hazelcast.org.checkerframework.checker.initialization.qual.UnderInitialization;
import com.hazelcast.org.checkerframework.checker.nullness.qual.Nullable;
import com.hazelcast.org.checkerframework.checker.nullness.qual.RequiresNonNull;
import com.hazelcast.org.checkerframework.dataflow.qual.Pure;

import java.io.Serializable;
import java.nio.LongBuffer;
import java.util.AbstractList;
import java.util.AbstractSet;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.BitSet;
import java.util.Collection;
import java.util.Comparator;
import java.util.Iterator;
import java.util.List;
import java.util.Map;
import java.util.Set;
import java.util.SortedMap;
import java.util.TreeMap;
import java.util.stream.Collector;

import static com.hazelcast.org.apache.calcite.linq4j.Nullness.castNonNull;

import static java.util.Objects.requireNonNull;

/**
 * An immutable list of bits.
 */
public class ImmutableBitSet
    implements Iterable, Serializable, Comparable {
  /** Compares bit sets topologically, so that enclosing bit sets come first,
   * using natural ordering to break ties. */
  public static final Comparator COMPARATOR = (o1, o2) -> {
    if (o1.equals(o2)) {
      return 0;
    }
    if (o1.contains(o2)) {
      return -1;
    }
    if (o2.contains(o1)) {
      return 1;
    }
    return o1.compareTo(o2);
  };

  public static final Ordering ORDERING =
      Ordering.from(COMPARATOR);

  // BitSets are packed into arrays of "words."  Currently a word is
  // a long, which consists of 64 bits, requiring 6 address bits.
  // The choice of word size is determined purely by performance concerns.
  private static final int ADDRESS_BITS_PER_WORD = 6;
  private static final int BITS_PER_WORD = 1 << ADDRESS_BITS_PER_WORD;

  /* Used to shift left or right for a partial word mask */
  private static final long WORD_MASK = 0xffffffffffffffffL;

  private static final long[] EMPTY_LONGS = new long[0];

  private static final ImmutableBitSet EMPTY =
      new ImmutableBitSet(EMPTY_LONGS);

  @SuppressWarnings("Guava")
  @Deprecated // to be removed before 2.0
  public static final
      com.hazelcast.com.google.common.base.Function
      FROM_BIT_SET = ImmutableBitSet::fromBitSet;

  private final long[] words;

  /** Private constructor. Does not copy the array. */
  private ImmutableBitSet(long[] words) {
    this.words = words;
    assert words.length == 0
        ? words == EMPTY_LONGS
        : words[words.length - 1] != 0L;
  }

  /** Creates an ImmutableBitSet with no bits. */
  public static ImmutableBitSet of() {
    return EMPTY;
  }

  public static ImmutableBitSet of(int... bits) {
    int max = -1;
    for (int bit : bits) {
      max = Math.max(bit, max);
    }
    if (max == -1) {
      return EMPTY;
    }
    long[] words = new long[wordIndex(max) + 1];
    for (int bit : bits) {
      int wordIndex = wordIndex(bit);
      words[wordIndex] |= 1L << bit;
    }
    return new ImmutableBitSet(words);
  }

  public static ImmutableBitSet of(Iterable  bits) {
    if (bits instanceof ImmutableBitSet) {
      return (ImmutableBitSet) bits;
    }
    int max = -1;
    for (int bit : bits) {
      max = Math.max(bit, max);
    }
    if (max == -1) {
      return EMPTY;
    }
    long[] words = new long[wordIndex(max) + 1];
    for (int bit : bits) {
      int wordIndex = wordIndex(bit);
      words[wordIndex] |= 1L << bit;
    }
    return new ImmutableBitSet(words);
  }

  /**
   * Creates an ImmutableBitSet with given bits set.
   *
   * 

For example, of(ImmutableIntList.of(0, 3)) returns a bit * set with bits {0, 3} set. * * @param bits Collection of bits to set * @return Bit set */ public static ImmutableBitSet of(ImmutableIntList bits) { return builder().addAll(bits).build(); } /** * Returns a new immutable bit set containing all the bits in the given long * array. * *

More precisely, * *

{@code ImmutableBitSet.valueOf(longs).get(n) * == ((longs[n/64] & (1L<<(n%64))) != 0)}
* *

for all {@code n < 64 * longs.length}. * *

This method is equivalent to * {@code ImmutableBitSet.valueOf(LongBuffer.wrap(longs))}. * * @param longs a long array containing a little-endian representation * of a sequence of bits to be used as the initial bits of the * new bit set * @return a {@code ImmutableBitSet} containing all the bits in the long * array */ public static ImmutableBitSet valueOf(long... longs) { int n = longs.length; while (n > 0 && longs[n - 1] == 0) { --n; } if (n == 0) { return EMPTY; } return new ImmutableBitSet(Arrays.copyOf(longs, n)); } /** * Returns a new immutable bit set containing all the bits in the given long * buffer. */ public static ImmutableBitSet valueOf(LongBuffer longs) { longs = longs.slice(); int n = longs.remaining(); while (n > 0 && longs.get(n - 1) == 0) { --n; } if (n == 0) { return EMPTY; } long[] words = new long[n]; longs.get(words); return new ImmutableBitSet(words); } /** * Returns a new immutable bit set containing all the bits in the given * {@link BitSet}. */ public static ImmutableBitSet fromBitSet(BitSet input) { return ImmutableBitSet.of(BitSets.toIter(input)); } /** * Creates an ImmutableBitSet with bits from {@code fromIndex} (inclusive) to * specified {@code toIndex} (exclusive) set to {@code true}. * *

For example, {@code range(0, 3)} returns a bit set with bits * {0, 1, 2} set. * * @param fromIndex Index of the first bit to be set. * @param toIndex Index after the last bit to be set. * @return Bit set */ public static ImmutableBitSet range(int fromIndex, int toIndex) { if (fromIndex > toIndex) { throw new IllegalArgumentException(); } if (toIndex < 0) { throw new IllegalArgumentException(); } if (fromIndex == toIndex) { return EMPTY; } int startWordIndex = wordIndex(fromIndex); int endWordIndex = wordIndex(toIndex - 1); long[] words = new long[endWordIndex + 1]; long firstWordMask = WORD_MASK << fromIndex; long lastWordMask = WORD_MASK >>> -toIndex; if (startWordIndex == endWordIndex) { // One word words[startWordIndex] |= firstWordMask & lastWordMask; } else { // First word, middle words, last word words[startWordIndex] |= firstWordMask; for (int i = startWordIndex + 1; i < endWordIndex; i++) { words[i] = WORD_MASK; } words[endWordIndex] |= lastWordMask; } return new ImmutableBitSet(words); } /** Creates an ImmutableBitSet with bits between 0 and {@code toIndex} set. */ public static ImmutableBitSet range(int toIndex) { return range(0, toIndex); } /** * Given a bit index, return word index containing it. */ @Pure private static int wordIndex(int bitIndex) { return bitIndex >> ADDRESS_BITS_PER_WORD; } /** Creates a Collector. */ public static Collector toImmutableBitSet() { return Collector.of(ImmutableBitSet::builder, Builder::set, Builder::combine, Builder::build); } /** Computes the power set (set of all sets) of this bit set. */ public Iterable powerSet() { List> singletons = new ArrayList<>(); for (int bit : this) { singletons.add( ImmutableList.of(ImmutableBitSet.of(), ImmutableBitSet.of(bit))); } return Util.transform(Linq4j.product(singletons), ImmutableBitSet::union); } /** * Returns the value of the bit with the specified index. The value * is {@code true} if the bit with the index {@code bitIndex} * is currently set in this {@code ImmutableBitSet}; otherwise, the result * is {@code false}. * * @param bitIndex the bit index * @return the value of the bit with the specified index * @throws IndexOutOfBoundsException if the specified index is negative */ public boolean get(int bitIndex) { if (bitIndex < 0) { throw new IndexOutOfBoundsException("bitIndex < 0: " + bitIndex); } int wordIndex = wordIndex(bitIndex); return (wordIndex < words.length) && ((words[wordIndex] & (1L << bitIndex)) != 0); } /** * Returns a new {@code ImmutableBitSet} * composed of bits from this {@code ImmutableBitSet} * from {@code fromIndex} (inclusive) to {@code toIndex} (exclusive). * * @param fromIndex index of the first bit to include * @param toIndex index after the last bit to include * @return a new {@code ImmutableBitSet} from a range of * this {@code ImmutableBitSet} * @throws IndexOutOfBoundsException if {@code fromIndex} is negative, * or {@code toIndex} is negative, or {@code fromIndex} is * larger than {@code toIndex} */ public ImmutableBitSet get(int fromIndex, int toIndex) { checkRange(fromIndex, toIndex); final Builder builder = builder(); for (int i = nextSetBit(fromIndex); i >= 0 && i < toIndex; i = nextSetBit(i + 1)) { builder.set(i); } return builder.build(); } /** * Checks that fromIndex ... toIndex is a valid range of bit indices. */ private static void checkRange(int fromIndex, int toIndex) { 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); } } /** * Returns a string representation of this bit set. For every index * for which this {@code 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. * *

Example: *

   * BitSet drPepper = new BitSet();
* Now {@code drPepper.toString()} returns "{@code {}}". *
   * drPepper.set(2);
* Now {@code drPepper.toString()} returns "{@code {2}}". *
   * drPepper.set(4);
   * drPepper.set(10);
* Now {@code drPepper.toString()} returns "{@code {2, 4, 10}}". * * @return a string representation of this bit set */ @Override public String toString() { int numBits = words.length * 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(); } /** * Returns true if the specified {@code ImmutableBitSet} has any bits set to * {@code true} that are also set to {@code true} in this * {@code ImmutableBitSet}. * * @param set {@code ImmutableBitSet} to intersect with * @return boolean indicating whether this {@code ImmutableBitSet} intersects * the specified {@code ImmutableBitSet} */ public boolean intersects(ImmutableBitSet set) { for (int i = Math.min(words.length, set.words.length) - 1; i >= 0; i--) { if ((words[i] & set.words[i]) != 0) { return true; } } return false; } /** Returns the number of bits set to {@code true} in this * {@code ImmutableBitSet}. * * @see #size() */ public int cardinality() { return countBits(words); } private static int countBits(long[] words) { int sum = 0; for (long word : words) { sum += Long.bitCount(word); } return sum; } /** * Returns the hash code value for this bit set. The hash code * depends only on which bits are set within this {@code ImmutableBitSet}. * *

The hash code is defined using the same calculation as * {@link java.util.BitSet#hashCode()}. * * @return the hash code value for this bit set */ @Override public int hashCode() { long h = 1234; for (int i = words.length; --i >= 0;) { h ^= words[i] * (i + 1); } return (int) ((h >> 32) ^ h); } /** * Returns the number of bits of space actually in use by this * {@code ImmutableBitSet} 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 * * @see #cardinality() */ public int size() { return words.length * BITS_PER_WORD; } /** * Compares this object against the specified object. * The result is {@code true} if and only if the argument is * not {@code null} and is a {@code ImmutableBitSet} object that has * exactly the same set of bits set to {@code true} as this bit * set. * * @param obj the object to compare with * @return {@code true} if the objects are the same; * {@code false} otherwise * @see #size() */ @Override public boolean equals(@Nullable Object obj) { if (this == obj) { return true; } if (!(obj instanceof ImmutableBitSet)) { return false; } ImmutableBitSet set = (ImmutableBitSet) obj; return Arrays.equals(words, set.words); } /** Compares this ImmutableBitSet with another, using a lexicographic * ordering. * *

Bit sets {@code (), (0), (0, 1), (0, 1, 3), (1), (2, 3)} are in sorted * order.

*/ @Override public int compareTo(ImmutableBitSet o) { int i = 0; for (;;) { int n0 = nextSetBit(i); int n1 = o.nextSetBit(i); int c = Utilities.compare(n0, n1); if (c != 0 || n0 < 0) { return c; } i = n0 + 1; } } /** * Returns the index of the first bit that is set to {@code true} * that occurs on or after the specified starting index. If no such * bit exists then {@code -1} is returned. * *

Based upon {@link BitSet#nextSetBit}. * * @param fromIndex the index to start checking from (inclusive) * @return the index of the next set bit, or {@code -1} if there * is no such bit * @throws IndexOutOfBoundsException if the specified index is negative */ public int nextSetBit(int fromIndex) { if (fromIndex < 0) { throw new IndexOutOfBoundsException("fromIndex < 0: " + fromIndex); } int u = wordIndex(fromIndex); if (u >= words.length) { return -1; } long word = words[u] & (WORD_MASK << fromIndex); while (true) { if (word != 0) { return (u * BITS_PER_WORD) + Long.numberOfTrailingZeros(word); } if (++u == words.length) { return -1; } word = words[u]; } } /** * Returns the index of the first bit that is set to {@code 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 */ public int nextClearBit(int fromIndex) { if (fromIndex < 0) { throw new IndexOutOfBoundsException("fromIndex < 0: " + fromIndex); } int u = wordIndex(fromIndex); if (u >= words.length) { return fromIndex; } long word = ~words[u] & (WORD_MASK << fromIndex); while (true) { if (word != 0) { return (u * BITS_PER_WORD) + Long.numberOfTrailingZeros(word); } if (++u == words.length) { return words.length * BITS_PER_WORD; } word = ~words[u]; } } /** * Returns the index of the nearest bit that is set to {@code false} * that occurs on or before the specified starting index. * If no such bit exists, or if {@code -1} is given as the * starting index, then {@code -1} is returned. * * @param fromIndex the index to start checking from (inclusive) * @return the index of the previous clear bit, or {@code -1} if there * is no such bit * @throws IndexOutOfBoundsException if the specified index is less * than {@code -1} */ public int previousClearBit(int fromIndex) { if (fromIndex < 0) { if (fromIndex == -1) { return -1; } throw new IndexOutOfBoundsException("fromIndex < -1: " + fromIndex); } int u = wordIndex(fromIndex); if (u >= words.length) { return fromIndex; } long word = ~words[u] & (WORD_MASK >>> -(fromIndex + 1)); while (true) { if (word != 0) { return (u + 1) * BITS_PER_WORD - 1 - Long.numberOfLeadingZeros(word); } if (u-- == 0) { return -1; } word = ~words[u]; } } @Override public Iterator iterator() { return new Iterator() { int i = nextSetBit(0); @Override public boolean hasNext() { return i >= 0; } @Override public Integer next() { int prev = i; i = nextSetBit(i + 1); return prev; } @Override public void remove() { throw new UnsupportedOperationException(); } }; } /** Converts this bit set to a list. */ public List toList() { final List list = new ArrayList<>(); for (int i = nextSetBit(0); i >= 0; i = nextSetBit(i + 1)) { list.add(i); } return list; } /** Creates a view onto this bit set as a list of integers. * *

The {@code cardinality} and {@code get} methods are both O(n), but * the iterator is efficient. The list is memory efficient, and the CPU cost * breaks even (versus {@link #toList}) if you intend to scan it only once. */ public List asList() { return new AbstractList() { @Override public Integer get(int index) { return nth(index); } @Override public int size() { return cardinality(); } @Override public Iterator iterator() { return ImmutableBitSet.this.iterator(); } }; } /** Creates a view onto this bit set as a set of integers. * *

The {@code size} and {@code contains} methods are both O(n), but the * iterator is efficient. */ public Set asSet() { return new AbstractSet() { @Override public Iterator iterator() { return ImmutableBitSet.this.iterator(); } @Override public int size() { return cardinality(); } @Override public boolean contains(@Nullable Object o) { return ImmutableBitSet.this.get((Integer) requireNonNull(o, "o")); } }; } /** * Converts this bit set to an array. * *

Each entry of the array is the ordinal of a set bit. The array is * sorted. * * @return Array of set bits */ public int[] toArray() { final int[] integers = new int[cardinality()]; int j = 0; for (int i = nextSetBit(0); i >= 0; i = nextSetBit(i + 1)) { integers[j++] = i; } return integers; } /** * Converts this bit set to an array of little-endian words. */ public long[] toLongArray() { return words.length == 0 ? words : words.clone(); } /** Returns the union of this immutable bit set with a {@link BitSet}. */ public ImmutableBitSet union(BitSet other) { return rebuild() // remember "this" and try to re-use later .addAll(BitSets.toIter(other)) .build(); } /** Returns the union of this bit set with another. */ public ImmutableBitSet union(ImmutableBitSet other) { return rebuild() // remember "this" and try to re-use later .addAll(other) .build(other); // try to re-use "other" } /** Returns the union of a number of bit sets. */ public static ImmutableBitSet union( Iterable sets) { final Builder builder = builder(); for (ImmutableBitSet set : sets) { builder.addAll(set); } return builder.build(); } /** Returns a bit set with all the bits in this set that are not in * another. * * @see BitSet#andNot(java.util.BitSet) */ public ImmutableBitSet except(ImmutableBitSet that) { final Builder builder = rebuild(); builder.removeAll(that); return builder.build(); } /** Returns a bit set with all the bits set in both this set and in * another. * * @see BitSet#and */ public ImmutableBitSet intersect(ImmutableBitSet that) { final Builder builder = rebuild(); builder.intersect(that); return builder.build(); } /** * Returns true if all bits set in the second parameter are also set in the * first. In other words, whether x is a super-set of y. * * @param set1 Bitmap to be checked * * @return Whether all bits in set1 are set in set0 */ public boolean contains(ImmutableBitSet set1) { for (int i = set1.nextSetBit(0); i >= 0; i = set1.nextSetBit(i + 1)) { if (!get(i)) { return false; } } return true; } /** * The ordinal of a given bit, or -1 if it is not set. */ public int indexOf(int bit) { for (int i = nextSetBit(0), k = 0;; i = nextSetBit(i + 1), ++k) { if (i < 0) { return -1; } if (i == bit) { return k; } } } /** Computes the closure of a map from integers to bits. * *

The input must have an entry for each position. * *

Does not modify the input map or its bit sets. */ @SuppressWarnings("JdkObsolete") public static SortedMap closure( SortedMap equivalence) { if (equivalence.isEmpty()) { return ImmutableSortedMap.of(); } int length = equivalence.lastKey(); for (ImmutableBitSet bitSet : equivalence.values()) { length = Math.max(length, bitSet.length()); } if (equivalence.size() < length || equivalence.firstKey() != 0) { SortedMap old = equivalence; equivalence = new TreeMap<>(); for (int i = 0; i < length; i++) { final ImmutableBitSet bitSet = old.get(i); equivalence.put(i, bitSet == null ? ImmutableBitSet.of() : bitSet); } } final Closure closure = new Closure(equivalence); return closure.closure; } /** * Returns the "logical size" of this {@code ImmutableBitSet}: the index of * the highest set bit in the {@code ImmutableBitSet} plus one. Returns zero * if the {@code ImmutableBitSet} contains no set bits. * * @return the logical size of this {@code ImmutableBitSet} */ public int length() { if (words.length == 0) { return 0; } return BITS_PER_WORD * (words.length - 1) + (BITS_PER_WORD - Long.numberOfLeadingZeros(words[words.length - 1])); } /** * Returns true if this {@code ImmutableBitSet} contains no bits that are set * to {@code true}. */ public boolean isEmpty() { return words.length == 0; } /** Creates an empty Builder. */ public static Builder builder() { return new Builder(EMPTY_LONGS); } @Deprecated // to be removed before 2.0 public static Builder builder(ImmutableBitSet bitSet) { return bitSet.rebuild(); } /** Creates a Builder whose initial contents are the same as this * ImmutableBitSet. */ public Builder rebuild() { return new Rebuilder(this); } /** Returns the {@code n}th set bit. * * @throws java.lang.IndexOutOfBoundsException if n is less than 0 or greater * than the number of bits set */ public int nth(int n) { int start = 0; for (long word : words) { final int bitCount = Long.bitCount(word); if (n < bitCount) { while (word != 0) { if ((word & 1) == 1) { if (n == 0) { return start; } --n; } word >>= 1; ++start; } } start += 64; n -= bitCount; } throw new IndexOutOfBoundsException("index out of range: " + n); } /** Returns a bit set the same as this but with a given bit set. */ public ImmutableBitSet set(int i) { return union(ImmutableBitSet.of(i)); } /** Returns a bit set the same as this but with a given bit set (if b is * true) or unset (if b is false). */ public ImmutableBitSet set(int i, boolean b) { if (get(i) == b) { return this; } return b ? set(i) : clear(i); } /** Returns a bit set the same as this but with a given bit set if condition * is true. */ public ImmutableBitSet setIf(int bit, boolean condition) { return condition ? set(bit) : this; } /** Returns a bit set the same as this but with a given bit cleared. */ public ImmutableBitSet clear(int i) { return except(ImmutableBitSet.of(i)); } /** Returns a bit set the same as this but with a given bit cleared if * condition is true. */ public ImmutableBitSet clearIf(int i, boolean condition) { return condition ? except(ImmutableBitSet.of(i)) : this; } /** Returns a {@link BitSet} that has the same contents as this * {@code ImmutableBitSet}. */ public BitSet toBitSet() { return BitSets.of(this); } /** Permutes a bit set according to a given mapping. */ public ImmutableBitSet permute(Map map) { final Builder builder = builder(); for (int i = nextSetBit(0); i >= 0; i = nextSetBit(i + 1)) { Integer value = map.get(i); if (value == null) { throw new NullPointerException("Index " + i + " is not mapped in " + map); } builder.set(value); } return builder.build(); } /** Permutes a bit set according to a given mapping. */ public ImmutableBitSet permute(Mappings.TargetMapping mapping) { final Builder builder = builder(); for (int i = nextSetBit(0); i >= 0; i = nextSetBit(i + 1)) { builder.set(mapping.getTarget(i)); } return builder.build(); } /** Permutes a collection of bit sets according to a given mapping. */ public static Iterable permute( Iterable bitSets, final Map map) { return Util.transform(bitSets, bitSet -> bitSet.permute(map)); } /** Returns a bit set with every bit moved up {@code offset} positions. * Offset may be negative, but throws if any bit ends up negative. */ public ImmutableBitSet shift(int offset) { if (offset == 0) { return this; } final Builder builder = builder(); for (int i = nextSetBit(0); i >= 0; i = nextSetBit(i + 1)) { builder.set(i + offset); } return builder.build(); } /** * Checks if all bit sets contain a particular bit. */ public static boolean allContain(Collection bitSets, int bit) { for (ImmutableBitSet bitSet : bitSets) { if (!bitSet.get(bit)) { return false; } } return true; } /** * Setup equivalence Sets for each position. If i and j are equivalent then * they will have the same equivalence Set. The algorithm computes the * closure relation at each position for the position wrt to positions * greater than it. Once a closure is computed for a position, the closure * Set is set on all its descendants. So the closure computation bubbles up * from lower positions and the final equivalence Set is propagated down * from the lowest element in the Set. */ @SuppressWarnings("JdkObsolete") private static class Closure { private final SortedMap equivalence; private final SortedMap closure = new TreeMap<>(); Closure(SortedMap equivalence) { this.equivalence = equivalence; final ImmutableIntList keys = ImmutableIntList.copyOf(equivalence.keySet()); for (int pos : keys) { computeClosure(pos); } } @RequiresNonNull("equivalence") private ImmutableBitSet computeClosure( @UnderInitialization Closure this, int pos ) { ImmutableBitSet o = closure.get(pos); if (o != null) { return o; } final ImmutableBitSet b = castNonNull(equivalence.get(pos)); o = b; int i = b.nextSetBit(pos + 1); for (; i >= 0; i = b.nextSetBit(i + 1)) { o = o.union(computeClosure(i)); } closure.put(pos, o); i = o.nextSetBit(pos + 1); for (; i >= 0; i = b.nextSetBit(i + 1)) { closure.put(i, o); } return o; } } /** Builder. */ public static class Builder { private long @Nullable [] words; private Builder(long[] words) { this.words = words; } /** Builds an ImmutableBitSet from the contents of this Builder. * *

After calling this method, the Builder cannot be used again. */ public ImmutableBitSet build() { if (words == null) { throw new IllegalArgumentException("can only use builder once"); } if (words.length == 0) { return EMPTY; } long[] words = this.words; this.words = null; // prevent re-use of builder return new ImmutableBitSet(words); } /** Builds an ImmutableBitSet from the contents of this Builder. * *

After calling this method, the Builder may be used again. */ public ImmutableBitSet buildAndReset() { if (words == null) { throw new IllegalArgumentException("can only use builder once"); } if (words.length == 0) { return EMPTY; } long[] words = this.words; this.words = EMPTY_LONGS; // reset for next use return new ImmutableBitSet(words); } /** Builds an ImmutableBitSet from the contents of this Builder, using * an existing ImmutableBitSet if it happens to have the same contents. * *

Supplying the existing bit set if useful for set operations, * where there is a significant chance that the original bit set is * unchanged. We save memory because we use the same copy. For example: * *

     * ImmutableBitSet primeNumbers;
     * ImmutableBitSet hundreds = ImmutableBitSet.of(100, 200, 300);
     * return primeNumbers.except(hundreds);
* *

After calling this method, the Builder cannot be used again. */ public ImmutableBitSet build(ImmutableBitSet bitSet) { if (wouldEqual(bitSet)) { return bitSet; } return build(); } public Builder set(int bit) { if (words == null) { throw new IllegalArgumentException("can only use builder once"); } int wordIndex = wordIndex(bit); if (wordIndex >= words.length) { words = Arrays.copyOf(words, wordIndex + 1); } words[wordIndex] |= 1L << bit; return this; } public boolean get(int bitIndex) { if (words == null) { throw new IllegalArgumentException("can only use builder once"); } if (bitIndex < 0) { throw new IndexOutOfBoundsException("bitIndex < 0: " + bitIndex); } int wordIndex = wordIndex(bitIndex); return (wordIndex < words.length) && ((words[wordIndex] & (1L << bitIndex)) != 0); } private void trim(int wordCount) { if (words == null) { throw new IllegalArgumentException("can only use builder once"); } while (wordCount > 0 && words[wordCount - 1] == 0L) { --wordCount; } if (wordCount == words.length) { return; } if (wordCount == 0) { words = EMPTY_LONGS; } else { words = Arrays.copyOfRange(words, 0, wordCount); } } public Builder clear(int bit) { if (words == null) { throw new IllegalArgumentException("can only use builder once"); } int wordIndex = wordIndex(bit); if (wordIndex < words.length) { words[wordIndex] &= ~(1L << bit); trim(words.length); } return this; } /** Returns whether the bit set that would be created by this Builder would * equal a given bit set. */ public boolean wouldEqual(ImmutableBitSet bitSet) { if (words == null) { throw new IllegalArgumentException("can only use builder once"); } return Arrays.equals(words, bitSet.words); } /** Returns the number of set bits. */ public int cardinality() { if (words == null) { throw new IllegalArgumentException("can only use builder once"); } return countBits(words); } /** Merges another builder. Does not modify the other builder. */ public Builder combine(Builder builder) { if (words == null) { throw new IllegalArgumentException("can only use builder once"); } long[] otherWords = builder.words; if (otherWords == null) { throw new IllegalArgumentException("Given builder is empty"); } if (this.words.length < otherWords.length) { // Right has more bits. Copy the right and OR in the words of the // previous left. final long[] newWords = otherWords.clone(); for (int i = 0; i < this.words.length; i++) { newWords[i] |= this.words[i]; } this.words = newWords; } else { // Left has same or more bits. OR in the words of the right. for (int i = 0; i < otherWords.length; i++) { this.words[i] |= otherWords[i]; } } return this; } /** Sets all bits in a given bit set. */ public Builder addAll(ImmutableBitSet bitSet) { for (Integer bit : bitSet) { set(bit); } return this; } /** Sets all bits in a given list of bits. */ public Builder addAll(Iterable integers) { for (Integer integer : integers) { set(integer); } return this; } /** Sets all bits in a given list of {@code int}s. */ public Builder addAll(ImmutableIntList integers) { //noinspection ForLoopReplaceableByForEach for (int i = 0; i < integers.size(); i++) { set(integers.get(i)); } return this; } /** Clears all bits in a given bit set. */ public Builder removeAll(ImmutableBitSet bitSet) { for (Integer bit : bitSet) { clear(bit); } return this; } /** Sets a range of bits, from {@code from} to {@code to} - 1. */ public Builder set(int fromIndex, int toIndex) { if (fromIndex > toIndex) { throw new IllegalArgumentException("fromIndex(" + fromIndex + ")" + " > toIndex(" + toIndex + ")"); } if (toIndex < 0) { throw new IllegalArgumentException("toIndex(" + toIndex + ") < 0"); } if (words == null) { throw new IllegalArgumentException("can only use builder once"); } if (fromIndex < toIndex) { // Increase capacity if necessary int startWordIndex = wordIndex(fromIndex); int endWordIndex = wordIndex(toIndex - 1); if (endWordIndex >= words.length) { words = Arrays.copyOf(words, endWordIndex + 1); } long firstWordMask = WORD_MASK << fromIndex; long lastWordMask = WORD_MASK >>> -toIndex; if (startWordIndex == endWordIndex) { // One word words[startWordIndex] |= firstWordMask & lastWordMask; } else { // First word, middle words, last word words[startWordIndex] |= firstWordMask; for (int i = startWordIndex + 1; i < endWordIndex; i++) { words[i] = WORD_MASK; } words[endWordIndex] |= lastWordMask; } } return this; } public boolean isEmpty() { if (words == null) { throw new IllegalArgumentException("can only use builder once"); } return words.length == 0; } public void intersect(ImmutableBitSet that) { if (words == null) { throw new IllegalArgumentException("can only use builder once"); } int x = Math.min(words.length, that.words.length); for (int i = 0; i < x; i++) { words[i] &= that.words[i]; } trim(x); } } /** Refinement of {@link Builder} that remembers its original * {@link com.hazelcast.org.apache.calcite.util.ImmutableBitSet} and tries to use it * when {@link #build} is called. */ private static class Rebuilder extends Builder { private final ImmutableBitSet originalBitSet; private Rebuilder(ImmutableBitSet originalBitSet) { super(originalBitSet.words.clone()); this.originalBitSet = originalBitSet; } @Override public ImmutableBitSet build() { if (wouldEqual(originalBitSet)) { return originalBitSet; } return super.build(); } @Override public ImmutableBitSet build(ImmutableBitSet bitSet) { // We try to re-use both originalBitSet and bitSet. if (wouldEqual(originalBitSet)) { return originalBitSet; } return super.build(bitSet); } } }





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