001/*
002 * Copyright (C) 2007 The Guava Authors
003 *
004 * Licensed under the Apache License, Version 2.0 (the "License");
005 * you may not use this file except in compliance with the License.
006 * You may obtain a copy of the License at
007 *
008 * http://www.apache.org/licenses/LICENSE-2.0
009 *
010 * Unless required by applicable law or agreed to in writing, software
011 * distributed under the License is distributed on an "AS IS" BASIS,
012 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
013 * See the License for the specific language governing permissions and
014 * limitations under the License.
015 */
016
017package com.google.common.collect;
018
019import static com.google.common.base.Preconditions.checkArgument;
020import static com.google.common.base.Preconditions.checkNotNull;
021import static com.google.common.collect.CollectPreconditions.checkNonnegative;
022import static com.google.common.collect.CollectPreconditions.checkRemove;
023import static java.util.Objects.requireNonNull;
024
025import com.google.common.annotations.GwtCompatible;
026import com.google.common.base.Objects;
027import com.google.common.base.Predicate;
028import com.google.common.base.Predicates;
029import com.google.common.collect.Multiset.Entry;
030import com.google.common.math.IntMath;
031import com.google.common.primitives.Ints;
032import com.google.errorprone.annotations.CanIgnoreReturnValue;
033import java.io.Serializable;
034import java.util.Arrays;
035import java.util.Collection;
036import java.util.Collections;
037import java.util.Comparator;
038import java.util.Iterator;
039import java.util.NoSuchElementException;
040import java.util.Set;
041import java.util.Spliterator;
042import java.util.function.Function;
043import java.util.function.Supplier;
044import java.util.function.ToIntFunction;
045import java.util.stream.Collector;
046import javax.annotation.CheckForNull;
047import org.checkerframework.checker.nullness.qual.Nullable;
048
049/**
050 * Provides static utility methods for creating and working with {@link Multiset} instances.
051 *
052 * <p>See the Guava User Guide article on <a href=
053 * "https://github.com/google/guava/wiki/CollectionUtilitiesExplained#multisets">{@code
054 * Multisets}</a>.
055 *
056 * @author Kevin Bourrillion
057 * @author Mike Bostock
058 * @author Louis Wasserman
059 * @since 2.0
060 */
061@GwtCompatible
062@ElementTypesAreNonnullByDefault
063public final class Multisets {
064  private Multisets() {}
065
066  /**
067   * Returns a {@code Collector} that accumulates elements into a multiset created via the specified
068   * {@code Supplier}, whose elements are the result of applying {@code elementFunction} to the
069   * inputs, with counts equal to the result of applying {@code countFunction} to the inputs.
070   * Elements are added in encounter order.
071   *
072   * <p>If the mapped elements contain duplicates (according to {@link Object#equals}), the element
073   * will be added more than once, with the count summed over all appearances of the element.
074   *
075   * <p>Note that {@code stream.collect(toMultiset(function, e -> 1, supplier))} is equivalent to
076   * {@code stream.map(function).collect(Collectors.toCollection(supplier))}.
077   *
078   * <p>To collect to an {@link ImmutableMultiset}, use {@link
079   * ImmutableMultiset#toImmutableMultiset}.
080   *
081   * @since 22.0
082   */
083  public static <T extends @Nullable Object, E extends @Nullable Object, M extends Multiset<E>>
084      Collector<T, ?, M> toMultiset(
085          Function<? super T, E> elementFunction,
086          ToIntFunction<? super T> countFunction,
087          Supplier<M> multisetSupplier) {
088    return CollectCollectors.toMultiset(elementFunction, countFunction, multisetSupplier);
089  }
090
091  /**
092   * Returns an unmodifiable view of the specified multiset. Query operations on the returned
093   * multiset "read through" to the specified multiset, and attempts to modify the returned multiset
094   * result in an {@link UnsupportedOperationException}.
095   *
096   * <p>The returned multiset will be serializable if the specified multiset is serializable.
097   *
098   * @param multiset the multiset for which an unmodifiable view is to be generated
099   * @return an unmodifiable view of the multiset
100   */
101  public static <E extends @Nullable Object> Multiset<E> unmodifiableMultiset(
102      Multiset<? extends E> multiset) {
103    if (multiset instanceof UnmodifiableMultiset || multiset instanceof ImmutableMultiset) {
104      @SuppressWarnings("unchecked") // Since it's unmodifiable, the covariant cast is safe
105      Multiset<E> result = (Multiset<E>) multiset;
106      return result;
107    }
108    return new UnmodifiableMultiset<E>(checkNotNull(multiset));
109  }
110
111  /**
112   * Simply returns its argument.
113   *
114   * @deprecated no need to use this
115   * @since 10.0
116   */
117  @Deprecated
118  public static <E> Multiset<E> unmodifiableMultiset(ImmutableMultiset<E> multiset) {
119    return checkNotNull(multiset);
120  }
121
122  static class UnmodifiableMultiset<E extends @Nullable Object> extends ForwardingMultiset<E>
123      implements Serializable {
124    final Multiset<? extends E> delegate;
125
126    UnmodifiableMultiset(Multiset<? extends E> delegate) {
127      this.delegate = delegate;
128    }
129
130    @SuppressWarnings("unchecked")
131    @Override
132    protected Multiset<E> delegate() {
133      // This is safe because all non-covariant methods are overridden
134      return (Multiset<E>) delegate;
135    }
136
137    @CheckForNull transient Set<E> elementSet;
138
139    Set<E> createElementSet() {
140      return Collections.<E>unmodifiableSet(delegate.elementSet());
141    }
142
143    @Override
144    public Set<E> elementSet() {
145      Set<E> es = elementSet;
146      return (es == null) ? elementSet = createElementSet() : es;
147    }
148
149    @CheckForNull transient Set<Multiset.Entry<E>> entrySet;
150
151    @SuppressWarnings("unchecked")
152    @Override
153    public Set<Multiset.Entry<E>> entrySet() {
154      Set<Multiset.Entry<E>> es = entrySet;
155      return (es == null)
156          // Safe because the returned set is made unmodifiable and Entry
157          // itself is readonly
158          ? entrySet = (Set) Collections.unmodifiableSet(delegate.entrySet())
159          : es;
160    }
161
162    @Override
163    public Iterator<E> iterator() {
164      return Iterators.<E>unmodifiableIterator(delegate.iterator());
165    }
166
167    @Override
168    public boolean add(@ParametricNullness E element) {
169      throw new UnsupportedOperationException();
170    }
171
172    @Override
173    public int add(@ParametricNullness E element, int occurrences) {
174      throw new UnsupportedOperationException();
175    }
176
177    @Override
178    public boolean addAll(Collection<? extends E> elementsToAdd) {
179      throw new UnsupportedOperationException();
180    }
181
182    @Override
183    public boolean remove(@CheckForNull Object element) {
184      throw new UnsupportedOperationException();
185    }
186
187    @Override
188    public int remove(@CheckForNull Object element, int occurrences) {
189      throw new UnsupportedOperationException();
190    }
191
192    @Override
193    public boolean removeAll(Collection<?> elementsToRemove) {
194      throw new UnsupportedOperationException();
195    }
196
197    @Override
198    public boolean retainAll(Collection<?> elementsToRetain) {
199      throw new UnsupportedOperationException();
200    }
201
202    @Override
203    public void clear() {
204      throw new UnsupportedOperationException();
205    }
206
207    @Override
208    public int setCount(@ParametricNullness E element, int count) {
209      throw new UnsupportedOperationException();
210    }
211
212    @Override
213    public boolean setCount(@ParametricNullness E element, int oldCount, int newCount) {
214      throw new UnsupportedOperationException();
215    }
216
217    private static final long serialVersionUID = 0;
218  }
219
220  /**
221   * Returns an unmodifiable view of the specified sorted multiset. Query operations on the returned
222   * multiset "read through" to the specified multiset, and attempts to modify the returned multiset
223   * result in an {@link UnsupportedOperationException}.
224   *
225   * <p>The returned multiset will be serializable if the specified multiset is serializable.
226   *
227   * @param sortedMultiset the sorted multiset for which an unmodifiable view is to be generated
228   * @return an unmodifiable view of the multiset
229   * @since 11.0
230   */
231  public static <E extends @Nullable Object> SortedMultiset<E> unmodifiableSortedMultiset(
232      SortedMultiset<E> sortedMultiset) {
233    // it's in its own file so it can be emulated for GWT
234    return new UnmodifiableSortedMultiset<E>(checkNotNull(sortedMultiset));
235  }
236
237  /**
238   * Returns an immutable multiset entry with the specified element and count. The entry will be
239   * serializable if {@code e} is.
240   *
241   * @param e the element to be associated with the returned entry
242   * @param n the count to be associated with the returned entry
243   * @throws IllegalArgumentException if {@code n} is negative
244   */
245  public static <E extends @Nullable Object> Multiset.Entry<E> immutableEntry(
246      @ParametricNullness E e, int n) {
247    return new ImmutableEntry<E>(e, n);
248  }
249
250  static class ImmutableEntry<E extends @Nullable Object> extends AbstractEntry<E>
251      implements Serializable {
252    @ParametricNullness private final E element;
253    private final int count;
254
255    ImmutableEntry(@ParametricNullness E element, int count) {
256      this.element = element;
257      this.count = count;
258      checkNonnegative(count, "count");
259    }
260
261    @Override
262    @ParametricNullness
263    public final E getElement() {
264      return element;
265    }
266
267    @Override
268    public final int getCount() {
269      return count;
270    }
271
272    @CheckForNull
273    public ImmutableEntry<E> nextInBucket() {
274      return null;
275    }
276
277    private static final long serialVersionUID = 0;
278  }
279
280  /**
281   * Returns a view of the elements of {@code unfiltered} that satisfy a predicate. The returned
282   * multiset is a live view of {@code unfiltered}; changes to one affect the other.
283   *
284   * <p>The resulting multiset's iterators, and those of its {@code entrySet()} and {@code
285   * elementSet()}, do not support {@code remove()}. However, all other multiset methods supported
286   * by {@code unfiltered} are supported by the returned multiset. When given an element that
287   * doesn't satisfy the predicate, the multiset's {@code add()} and {@code addAll()} methods throw
288   * an {@link IllegalArgumentException}. When methods such as {@code removeAll()} and {@code
289   * clear()} are called on the filtered multiset, only elements that satisfy the filter will be
290   * removed from the underlying multiset.
291   *
292   * <p>The returned multiset isn't threadsafe or serializable, even if {@code unfiltered} is.
293   *
294   * <p>Many of the filtered multiset's methods, such as {@code size()}, iterate across every
295   * element in the underlying multiset and determine which elements satisfy the filter. When a live
296   * view is <i>not</i> needed, it may be faster to copy the returned multiset and use the copy.
297   *
298   * <p><b>Warning:</b> {@code predicate} must be <i>consistent with equals</i>, as documented at
299   * {@link Predicate#apply}. Do not provide a predicate such as {@code
300   * Predicates.instanceOf(ArrayList.class)}, which is inconsistent with equals. (See {@link
301   * Iterables#filter(Iterable, Class)} for related functionality.)
302   *
303   * @since 14.0
304   */
305  public static <E extends @Nullable Object> Multiset<E> filter(
306      Multiset<E> unfiltered, Predicate<? super E> predicate) {
307    if (unfiltered instanceof FilteredMultiset) {
308      // Support clear(), removeAll(), and retainAll() when filtering a filtered
309      // collection.
310      FilteredMultiset<E> filtered = (FilteredMultiset<E>) unfiltered;
311      Predicate<E> combinedPredicate = Predicates.<E>and(filtered.predicate, predicate);
312      return new FilteredMultiset<E>(filtered.unfiltered, combinedPredicate);
313    }
314    return new FilteredMultiset<E>(unfiltered, predicate);
315  }
316
317  private static final class FilteredMultiset<E extends @Nullable Object> extends ViewMultiset<E> {
318    final Multiset<E> unfiltered;
319    final Predicate<? super E> predicate;
320
321    FilteredMultiset(Multiset<E> unfiltered, Predicate<? super E> predicate) {
322      this.unfiltered = checkNotNull(unfiltered);
323      this.predicate = checkNotNull(predicate);
324    }
325
326    @Override
327    public UnmodifiableIterator<E> iterator() {
328      return Iterators.filter(unfiltered.iterator(), predicate);
329    }
330
331    @Override
332    Set<E> createElementSet() {
333      return Sets.filter(unfiltered.elementSet(), predicate);
334    }
335
336    @Override
337    Iterator<E> elementIterator() {
338      throw new AssertionError("should never be called");
339    }
340
341    @Override
342    Set<Entry<E>> createEntrySet() {
343      return Sets.filter(
344          unfiltered.entrySet(),
345          new Predicate<Entry<E>>() {
346            @Override
347            public boolean apply(Entry<E> entry) {
348              return predicate.apply(entry.getElement());
349            }
350          });
351    }
352
353    @Override
354    Iterator<Entry<E>> entryIterator() {
355      throw new AssertionError("should never be called");
356    }
357
358    @Override
359    public int count(@CheckForNull Object element) {
360      int count = unfiltered.count(element);
361      if (count > 0) {
362        @SuppressWarnings("unchecked") // element is equal to an E
363        E e = (E) element;
364        return predicate.apply(e) ? count : 0;
365      }
366      return 0;
367    }
368
369    @Override
370    public int add(@ParametricNullness E element, int occurrences) {
371      checkArgument(
372          predicate.apply(element), "Element %s does not match predicate %s", element, predicate);
373      return unfiltered.add(element, occurrences);
374    }
375
376    @Override
377    public int remove(@CheckForNull Object element, int occurrences) {
378      checkNonnegative(occurrences, "occurrences");
379      if (occurrences == 0) {
380        return count(element);
381      } else {
382        return contains(element) ? unfiltered.remove(element, occurrences) : 0;
383      }
384    }
385  }
386
387  /**
388   * Returns the expected number of distinct elements given the specified elements. The number of
389   * distinct elements is only computed if {@code elements} is an instance of {@code Multiset};
390   * otherwise the default value of 11 is returned.
391   */
392  static int inferDistinctElements(Iterable<?> elements) {
393    if (elements instanceof Multiset) {
394      return ((Multiset<?>) elements).elementSet().size();
395    }
396    return 11; // initial capacity will be rounded up to 16
397  }
398
399  /**
400   * Returns an unmodifiable view of the union of two multisets. In the returned multiset, the count
401   * of each element is the <i>maximum</i> of its counts in the two backing multisets. The iteration
402   * order of the returned multiset matches that of the element set of {@code multiset1} followed by
403   * the members of the element set of {@code multiset2} that are not contained in {@code
404   * multiset1}, with repeated occurrences of the same element appearing consecutively.
405   *
406   * <p>Results are undefined if {@code multiset1} and {@code multiset2} are based on different
407   * equivalence relations (as {@code HashMultiset} and {@code TreeMultiset} are).
408   *
409   * @since 14.0
410   */
411  public static <E extends @Nullable Object> Multiset<E> union(
412      final Multiset<? extends E> multiset1, final Multiset<? extends E> multiset2) {
413    checkNotNull(multiset1);
414    checkNotNull(multiset2);
415
416    return new ViewMultiset<E>() {
417      @Override
418      public boolean contains(@CheckForNull Object element) {
419        return multiset1.contains(element) || multiset2.contains(element);
420      }
421
422      @Override
423      public boolean isEmpty() {
424        return multiset1.isEmpty() && multiset2.isEmpty();
425      }
426
427      @Override
428      public int count(@CheckForNull Object element) {
429        return Math.max(multiset1.count(element), multiset2.count(element));
430      }
431
432      @Override
433      Set<E> createElementSet() {
434        return Sets.union(multiset1.elementSet(), multiset2.elementSet());
435      }
436
437      @Override
438      Iterator<E> elementIterator() {
439        throw new AssertionError("should never be called");
440      }
441
442      @Override
443      Iterator<Entry<E>> entryIterator() {
444        final Iterator<? extends Entry<? extends E>> iterator1 = multiset1.entrySet().iterator();
445        final Iterator<? extends Entry<? extends E>> iterator2 = multiset2.entrySet().iterator();
446        // TODO(lowasser): consider making the entries live views
447        return new AbstractIterator<Entry<E>>() {
448          @Override
449          @CheckForNull
450          protected Entry<E> computeNext() {
451            if (iterator1.hasNext()) {
452              Entry<? extends E> entry1 = iterator1.next();
453              E element = entry1.getElement();
454              int count = Math.max(entry1.getCount(), multiset2.count(element));
455              return immutableEntry(element, count);
456            }
457            while (iterator2.hasNext()) {
458              Entry<? extends E> entry2 = iterator2.next();
459              E element = entry2.getElement();
460              if (!multiset1.contains(element)) {
461                return immutableEntry(element, entry2.getCount());
462              }
463            }
464            return endOfData();
465          }
466        };
467      }
468    };
469  }
470
471  /**
472   * Returns an unmodifiable view of the intersection of two multisets. In the returned multiset,
473   * the count of each element is the <i>minimum</i> of its counts in the two backing multisets,
474   * with elements that would have a count of 0 not included. The iteration order of the returned
475   * multiset matches that of the element set of {@code multiset1}, with repeated occurrences of the
476   * same element appearing consecutively.
477   *
478   * <p>Results are undefined if {@code multiset1} and {@code multiset2} are based on different
479   * equivalence relations (as {@code HashMultiset} and {@code TreeMultiset} are).
480   *
481   * @since 2.0
482   */
483  public static <E extends @Nullable Object> Multiset<E> intersection(
484      final Multiset<E> multiset1, final Multiset<?> multiset2) {
485    checkNotNull(multiset1);
486    checkNotNull(multiset2);
487
488    return new ViewMultiset<E>() {
489      @Override
490      public int count(@CheckForNull Object element) {
491        int count1 = multiset1.count(element);
492        return (count1 == 0) ? 0 : Math.min(count1, multiset2.count(element));
493      }
494
495      @Override
496      Set<E> createElementSet() {
497        return Sets.intersection(multiset1.elementSet(), multiset2.elementSet());
498      }
499
500      @Override
501      Iterator<E> elementIterator() {
502        throw new AssertionError("should never be called");
503      }
504
505      @Override
506      Iterator<Entry<E>> entryIterator() {
507        final Iterator<Entry<E>> iterator1 = multiset1.entrySet().iterator();
508        // TODO(lowasser): consider making the entries live views
509        return new AbstractIterator<Entry<E>>() {
510          @Override
511          @CheckForNull
512          protected Entry<E> computeNext() {
513            while (iterator1.hasNext()) {
514              Entry<E> entry1 = iterator1.next();
515              E element = entry1.getElement();
516              int count = Math.min(entry1.getCount(), multiset2.count(element));
517              if (count > 0) {
518                return immutableEntry(element, count);
519              }
520            }
521            return endOfData();
522          }
523        };
524      }
525    };
526  }
527
528  /**
529   * Returns an unmodifiable view of the sum of two multisets. In the returned multiset, the count
530   * of each element is the <i>sum</i> of its counts in the two backing multisets. The iteration
531   * order of the returned multiset matches that of the element set of {@code multiset1} followed by
532   * the members of the element set of {@code multiset2} that are not contained in {@code
533   * multiset1}, with repeated occurrences of the same element appearing consecutively.
534   *
535   * <p>Results are undefined if {@code multiset1} and {@code multiset2} are based on different
536   * equivalence relations (as {@code HashMultiset} and {@code TreeMultiset} are).
537   *
538   * @since 14.0
539   */
540  public static <E extends @Nullable Object> Multiset<E> sum(
541      final Multiset<? extends E> multiset1, final Multiset<? extends E> multiset2) {
542    checkNotNull(multiset1);
543    checkNotNull(multiset2);
544
545    // TODO(lowasser): consider making the entries live views
546    return new ViewMultiset<E>() {
547      @Override
548      public boolean contains(@CheckForNull Object element) {
549        return multiset1.contains(element) || multiset2.contains(element);
550      }
551
552      @Override
553      public boolean isEmpty() {
554        return multiset1.isEmpty() && multiset2.isEmpty();
555      }
556
557      @Override
558      public int size() {
559        return IntMath.saturatedAdd(multiset1.size(), multiset2.size());
560      }
561
562      @Override
563      public int count(@CheckForNull Object element) {
564        return multiset1.count(element) + multiset2.count(element);
565      }
566
567      @Override
568      Set<E> createElementSet() {
569        return Sets.union(multiset1.elementSet(), multiset2.elementSet());
570      }
571
572      @Override
573      Iterator<E> elementIterator() {
574        throw new AssertionError("should never be called");
575      }
576
577      @Override
578      Iterator<Entry<E>> entryIterator() {
579        final Iterator<? extends Entry<? extends E>> iterator1 = multiset1.entrySet().iterator();
580        final Iterator<? extends Entry<? extends E>> iterator2 = multiset2.entrySet().iterator();
581        return new AbstractIterator<Entry<E>>() {
582          @Override
583          @CheckForNull
584          protected Entry<E> computeNext() {
585            if (iterator1.hasNext()) {
586              Entry<? extends E> entry1 = iterator1.next();
587              E element = entry1.getElement();
588              int count = entry1.getCount() + multiset2.count(element);
589              return immutableEntry(element, count);
590            }
591            while (iterator2.hasNext()) {
592              Entry<? extends E> entry2 = iterator2.next();
593              E element = entry2.getElement();
594              if (!multiset1.contains(element)) {
595                return immutableEntry(element, entry2.getCount());
596              }
597            }
598            return endOfData();
599          }
600        };
601      }
602    };
603  }
604
605  /**
606   * Returns an unmodifiable view of the difference of two multisets. In the returned multiset, the
607   * count of each element is the result of the <i>zero-truncated subtraction</i> of its count in
608   * the second multiset from its count in the first multiset, with elements that would have a count
609   * of 0 not included. The iteration order of the returned multiset matches that of the element set
610   * of {@code multiset1}, with repeated occurrences of the same element appearing consecutively.
611   *
612   * <p>Results are undefined if {@code multiset1} and {@code multiset2} are based on different
613   * equivalence relations (as {@code HashMultiset} and {@code TreeMultiset} are).
614   *
615   * @since 14.0
616   */
617  public static <E extends @Nullable Object> Multiset<E> difference(
618      final Multiset<E> multiset1, final Multiset<?> multiset2) {
619    checkNotNull(multiset1);
620    checkNotNull(multiset2);
621
622    // TODO(lowasser): consider making the entries live views
623    return new ViewMultiset<E>() {
624      @Override
625      public int count(@CheckForNull Object element) {
626        int count1 = multiset1.count(element);
627        return (count1 == 0) ? 0 : Math.max(0, count1 - multiset2.count(element));
628      }
629
630      @Override
631      public void clear() {
632        throw new UnsupportedOperationException();
633      }
634
635      @Override
636      Iterator<E> elementIterator() {
637        final Iterator<Entry<E>> iterator1 = multiset1.entrySet().iterator();
638        return new AbstractIterator<E>() {
639          @Override
640          @CheckForNull
641          protected E computeNext() {
642            while (iterator1.hasNext()) {
643              Entry<E> entry1 = iterator1.next();
644              E element = entry1.getElement();
645              if (entry1.getCount() > multiset2.count(element)) {
646                return element;
647              }
648            }
649            return endOfData();
650          }
651        };
652      }
653
654      @Override
655      Iterator<Entry<E>> entryIterator() {
656        final Iterator<Entry<E>> iterator1 = multiset1.entrySet().iterator();
657        return new AbstractIterator<Entry<E>>() {
658          @Override
659          @CheckForNull
660          protected Entry<E> computeNext() {
661            while (iterator1.hasNext()) {
662              Entry<E> entry1 = iterator1.next();
663              E element = entry1.getElement();
664              int count = entry1.getCount() - multiset2.count(element);
665              if (count > 0) {
666                return immutableEntry(element, count);
667              }
668            }
669            return endOfData();
670          }
671        };
672      }
673
674      @Override
675      int distinctElements() {
676        return Iterators.size(entryIterator());
677      }
678    };
679  }
680
681  /**
682   * Returns {@code true} if {@code subMultiset.count(o) <= superMultiset.count(o)} for all {@code
683   * o}.
684   *
685   * @since 10.0
686   */
687  @CanIgnoreReturnValue
688  public static boolean containsOccurrences(Multiset<?> superMultiset, Multiset<?> subMultiset) {
689    checkNotNull(superMultiset);
690    checkNotNull(subMultiset);
691    for (Entry<?> entry : subMultiset.entrySet()) {
692      int superCount = superMultiset.count(entry.getElement());
693      if (superCount < entry.getCount()) {
694        return false;
695      }
696    }
697    return true;
698  }
699
700  /**
701   * Modifies {@code multisetToModify} so that its count for an element {@code e} is at most {@code
702   * multisetToRetain.count(e)}.
703   *
704   * <p>To be precise, {@code multisetToModify.count(e)} is set to {@code
705   * Math.min(multisetToModify.count(e), multisetToRetain.count(e))}. This is similar to {@link
706   * #intersection(Multiset, Multiset) intersection} {@code (multisetToModify, multisetToRetain)},
707   * but mutates {@code multisetToModify} instead of returning a view.
708   *
709   * <p>In contrast, {@code multisetToModify.retainAll(multisetToRetain)} keeps all occurrences of
710   * elements that appear at all in {@code multisetToRetain}, and deletes all occurrences of all
711   * other elements.
712   *
713   * @return {@code true} if {@code multisetToModify} was changed as a result of this operation
714   * @since 10.0
715   */
716  @CanIgnoreReturnValue
717  public static boolean retainOccurrences(
718      Multiset<?> multisetToModify, Multiset<?> multisetToRetain) {
719    return retainOccurrencesImpl(multisetToModify, multisetToRetain);
720  }
721
722  /** Delegate implementation which cares about the element type. */
723  private static <E extends @Nullable Object> boolean retainOccurrencesImpl(
724      Multiset<E> multisetToModify, Multiset<?> occurrencesToRetain) {
725    checkNotNull(multisetToModify);
726    checkNotNull(occurrencesToRetain);
727    // Avoiding ConcurrentModificationExceptions is tricky.
728    Iterator<Entry<E>> entryIterator = multisetToModify.entrySet().iterator();
729    boolean changed = false;
730    while (entryIterator.hasNext()) {
731      Entry<E> entry = entryIterator.next();
732      int retainCount = occurrencesToRetain.count(entry.getElement());
733      if (retainCount == 0) {
734        entryIterator.remove();
735        changed = true;
736      } else if (retainCount < entry.getCount()) {
737        multisetToModify.setCount(entry.getElement(), retainCount);
738        changed = true;
739      }
740    }
741    return changed;
742  }
743
744  /**
745   * For each occurrence of an element {@code e} in {@code occurrencesToRemove}, removes one
746   * occurrence of {@code e} in {@code multisetToModify}.
747   *
748   * <p>Equivalently, this method modifies {@code multisetToModify} so that {@code
749   * multisetToModify.count(e)} is set to {@code Math.max(0, multisetToModify.count(e) -
750   * Iterables.frequency(occurrencesToRemove, e))}.
751   *
752   * <p>This is <i>not</i> the same as {@code multisetToModify.} {@link Multiset#removeAll
753   * removeAll}{@code (occurrencesToRemove)}, which removes all occurrences of elements that appear
754   * in {@code occurrencesToRemove}. However, this operation <i>is</i> equivalent to, albeit
755   * sometimes more efficient than, the following:
756   *
757   * <pre>{@code
758   * for (E e : occurrencesToRemove) {
759   *   multisetToModify.remove(e);
760   * }
761   * }</pre>
762   *
763   * @return {@code true} if {@code multisetToModify} was changed as a result of this operation
764   * @since 18.0 (present in 10.0 with a requirement that the second parameter be a {@code
765   *     Multiset})
766   */
767  @CanIgnoreReturnValue
768  public static boolean removeOccurrences(
769      Multiset<?> multisetToModify, Iterable<?> occurrencesToRemove) {
770    if (occurrencesToRemove instanceof Multiset) {
771      return removeOccurrences(multisetToModify, (Multiset<?>) occurrencesToRemove);
772    } else {
773      checkNotNull(multisetToModify);
774      checkNotNull(occurrencesToRemove);
775      boolean changed = false;
776      for (Object o : occurrencesToRemove) {
777        changed |= multisetToModify.remove(o);
778      }
779      return changed;
780    }
781  }
782
783  /**
784   * For each occurrence of an element {@code e} in {@code occurrencesToRemove}, removes one
785   * occurrence of {@code e} in {@code multisetToModify}.
786   *
787   * <p>Equivalently, this method modifies {@code multisetToModify} so that {@code
788   * multisetToModify.count(e)} is set to {@code Math.max(0, multisetToModify.count(e) -
789   * occurrencesToRemove.count(e))}.
790   *
791   * <p>This is <i>not</i> the same as {@code multisetToModify.} {@link Multiset#removeAll
792   * removeAll}{@code (occurrencesToRemove)}, which removes all occurrences of elements that appear
793   * in {@code occurrencesToRemove}. However, this operation <i>is</i> equivalent to, albeit
794   * sometimes more efficient than, the following:
795   *
796   * <pre>{@code
797   * for (E e : occurrencesToRemove) {
798   *   multisetToModify.remove(e);
799   * }
800   * }</pre>
801   *
802   * @return {@code true} if {@code multisetToModify} was changed as a result of this operation
803   * @since 10.0 (missing in 18.0 when only the overload taking an {@code Iterable} was present)
804   */
805  @CanIgnoreReturnValue
806  public static boolean removeOccurrences(
807      Multiset<?> multisetToModify, Multiset<?> occurrencesToRemove) {
808    checkNotNull(multisetToModify);
809    checkNotNull(occurrencesToRemove);
810
811    boolean changed = false;
812    Iterator<? extends Entry<?>> entryIterator = multisetToModify.entrySet().iterator();
813    while (entryIterator.hasNext()) {
814      Entry<?> entry = entryIterator.next();
815      int removeCount = occurrencesToRemove.count(entry.getElement());
816      if (removeCount >= entry.getCount()) {
817        entryIterator.remove();
818        changed = true;
819      } else if (removeCount > 0) {
820        multisetToModify.remove(entry.getElement(), removeCount);
821        changed = true;
822      }
823    }
824    return changed;
825  }
826
827  /**
828   * Implementation of the {@code equals}, {@code hashCode}, and {@code toString} methods of {@link
829   * Multiset.Entry}.
830   */
831  abstract static class AbstractEntry<E extends @Nullable Object> implements Multiset.Entry<E> {
832    /**
833     * Indicates whether an object equals this entry, following the behavior specified in {@link
834     * Multiset.Entry#equals}.
835     */
836    @Override
837    public boolean equals(@CheckForNull Object object) {
838      if (object instanceof Multiset.Entry) {
839        Multiset.Entry<?> that = (Multiset.Entry<?>) object;
840        return this.getCount() == that.getCount()
841            && Objects.equal(this.getElement(), that.getElement());
842      }
843      return false;
844    }
845
846    /**
847     * Return this entry's hash code, following the behavior specified in {@link
848     * Multiset.Entry#hashCode}.
849     */
850    @Override
851    public int hashCode() {
852      E e = getElement();
853      return ((e == null) ? 0 : e.hashCode()) ^ getCount();
854    }
855
856    /**
857     * Returns a string representation of this multiset entry. The string representation consists of
858     * the associated element if the associated count is one, and otherwise the associated element
859     * followed by the characters " x " (space, x and space) followed by the count. Elements and
860     * counts are converted to strings as by {@code String.valueOf}.
861     */
862    @Override
863    public String toString() {
864      String text = String.valueOf(getElement());
865      int n = getCount();
866      return (n == 1) ? text : (text + " x " + n);
867    }
868  }
869
870  /** An implementation of {@link Multiset#equals}. */
871  static boolean equalsImpl(Multiset<?> multiset, @CheckForNull Object object) {
872    if (object == multiset) {
873      return true;
874    }
875    if (object instanceof Multiset) {
876      Multiset<?> that = (Multiset<?>) object;
877      /*
878       * We can't simply check whether the entry sets are equal, since that
879       * approach fails when a TreeMultiset has a comparator that returns 0
880       * when passed unequal elements.
881       */
882
883      if (multiset.size() != that.size() || multiset.entrySet().size() != that.entrySet().size()) {
884        return false;
885      }
886      for (Entry<?> entry : that.entrySet()) {
887        if (multiset.count(entry.getElement()) != entry.getCount()) {
888          return false;
889        }
890      }
891      return true;
892    }
893    return false;
894  }
895
896  /** An implementation of {@link Multiset#addAll}. */
897  static <E extends @Nullable Object> boolean addAllImpl(
898      Multiset<E> self, Collection<? extends E> elements) {
899    checkNotNull(self);
900    checkNotNull(elements);
901    if (elements instanceof Multiset) {
902      return addAllImpl(self, cast(elements));
903    } else if (elements.isEmpty()) {
904      return false;
905    } else {
906      return Iterators.addAll(self, elements.iterator());
907    }
908  }
909
910  /** A specialization of {@code addAllImpl} for when {@code elements} is itself a Multiset. */
911  private static <E extends @Nullable Object> boolean addAllImpl(
912      Multiset<E> self, Multiset<? extends E> elements) {
913    if (elements.isEmpty()) {
914      return false;
915    }
916    elements.forEachEntry(self::add);
917    return true;
918  }
919
920  /** An implementation of {@link Multiset#removeAll}. */
921  static boolean removeAllImpl(Multiset<?> self, Collection<?> elementsToRemove) {
922    Collection<?> collection =
923        (elementsToRemove instanceof Multiset)
924            ? ((Multiset<?>) elementsToRemove).elementSet()
925            : elementsToRemove;
926
927    return self.elementSet().removeAll(collection);
928  }
929
930  /** An implementation of {@link Multiset#retainAll}. */
931  static boolean retainAllImpl(Multiset<?> self, Collection<?> elementsToRetain) {
932    checkNotNull(elementsToRetain);
933    Collection<?> collection =
934        (elementsToRetain instanceof Multiset)
935            ? ((Multiset<?>) elementsToRetain).elementSet()
936            : elementsToRetain;
937
938    return self.elementSet().retainAll(collection);
939  }
940
941  /** An implementation of {@link Multiset#setCount(Object, int)}. */
942  static <E extends @Nullable Object> int setCountImpl(
943      Multiset<E> self, @ParametricNullness E element, int count) {
944    checkNonnegative(count, "count");
945
946    int oldCount = self.count(element);
947
948    int delta = count - oldCount;
949    if (delta > 0) {
950      self.add(element, delta);
951    } else if (delta < 0) {
952      self.remove(element, -delta);
953    }
954
955    return oldCount;
956  }
957
958  /** An implementation of {@link Multiset#setCount(Object, int, int)}. */
959  static <E extends @Nullable Object> boolean setCountImpl(
960      Multiset<E> self, @ParametricNullness E element, int oldCount, int newCount) {
961    checkNonnegative(oldCount, "oldCount");
962    checkNonnegative(newCount, "newCount");
963
964    if (self.count(element) == oldCount) {
965      self.setCount(element, newCount);
966      return true;
967    } else {
968      return false;
969    }
970  }
971
972  static <E extends @Nullable Object> Iterator<E> elementIterator(
973      Iterator<Entry<E>> entryIterator) {
974    return new TransformedIterator<Entry<E>, E>(entryIterator) {
975      @Override
976      @ParametricNullness
977      E transform(Entry<E> entry) {
978        return entry.getElement();
979      }
980    };
981  }
982
983  abstract static class ElementSet<E extends @Nullable Object> extends Sets.ImprovedAbstractSet<E> {
984    abstract Multiset<E> multiset();
985
986    @Override
987    public void clear() {
988      multiset().clear();
989    }
990
991    @Override
992    public boolean contains(@CheckForNull Object o) {
993      return multiset().contains(o);
994    }
995
996    @Override
997    public boolean containsAll(Collection<?> c) {
998      return multiset().containsAll(c);
999    }
1000
1001    @Override
1002    public boolean isEmpty() {
1003      return multiset().isEmpty();
1004    }
1005
1006    @Override
1007    public abstract Iterator<E> iterator();
1008
1009    @Override
1010    public boolean remove(@CheckForNull Object o) {
1011      return multiset().remove(o, Integer.MAX_VALUE) > 0;
1012    }
1013
1014    @Override
1015    public int size() {
1016      return multiset().entrySet().size();
1017    }
1018  }
1019
1020  abstract static class EntrySet<E extends @Nullable Object>
1021      extends Sets.ImprovedAbstractSet<Entry<E>> {
1022    abstract Multiset<E> multiset();
1023
1024    @Override
1025    public boolean contains(@CheckForNull Object o) {
1026      if (o instanceof Entry) {
1027        /*
1028         * The GWT compiler wrongly issues a warning here.
1029         */
1030        @SuppressWarnings("cast")
1031        Entry<?> entry = (Entry<?>) o;
1032        if (entry.getCount() <= 0) {
1033          return false;
1034        }
1035        int count = multiset().count(entry.getElement());
1036        return count == entry.getCount();
1037      }
1038      return false;
1039    }
1040
1041    // GWT compiler warning; see contains().
1042    @SuppressWarnings("cast")
1043    @Override
1044    public boolean remove(@CheckForNull Object object) {
1045      if (object instanceof Multiset.Entry) {
1046        Entry<?> entry = (Entry<?>) object;
1047        Object element = entry.getElement();
1048        int entryCount = entry.getCount();
1049        if (entryCount != 0) {
1050          // Safe as long as we never add a new entry, which we won't.
1051          // (Presumably it can still throw CCE/NPE but only if the underlying Multiset does.)
1052          @SuppressWarnings({"unchecked", "nullness"})
1053          Multiset<@Nullable Object> multiset = (Multiset<@Nullable Object>) multiset();
1054          return multiset.setCount(element, entryCount, 0);
1055        }
1056      }
1057      return false;
1058    }
1059
1060    @Override
1061    public void clear() {
1062      multiset().clear();
1063    }
1064  }
1065
1066  /** An implementation of {@link Multiset#iterator}. */
1067  static <E extends @Nullable Object> Iterator<E> iteratorImpl(Multiset<E> multiset) {
1068    return new MultisetIteratorImpl<E>(multiset, multiset.entrySet().iterator());
1069  }
1070
1071  static final class MultisetIteratorImpl<E extends @Nullable Object> implements Iterator<E> {
1072    private final Multiset<E> multiset;
1073    private final Iterator<Entry<E>> entryIterator;
1074    @CheckForNull private Entry<E> currentEntry;
1075
1076    /** Count of subsequent elements equal to current element */
1077    private int laterCount;
1078
1079    /** Count of all elements equal to current element */
1080    private int totalCount;
1081
1082    private boolean canRemove;
1083
1084    MultisetIteratorImpl(Multiset<E> multiset, Iterator<Entry<E>> entryIterator) {
1085      this.multiset = multiset;
1086      this.entryIterator = entryIterator;
1087    }
1088
1089    @Override
1090    public boolean hasNext() {
1091      return laterCount > 0 || entryIterator.hasNext();
1092    }
1093
1094    @Override
1095    @ParametricNullness
1096    public E next() {
1097      if (!hasNext()) {
1098        throw new NoSuchElementException();
1099      }
1100      if (laterCount == 0) {
1101        currentEntry = entryIterator.next();
1102        totalCount = laterCount = currentEntry.getCount();
1103      }
1104      laterCount--;
1105      canRemove = true;
1106      /*
1107       * requireNonNull is safe because laterCount starts at 0, forcing us to initialize
1108       * currentEntry above. After that, we never clear it.
1109       */
1110      return requireNonNull(currentEntry).getElement();
1111    }
1112
1113    @Override
1114    public void remove() {
1115      checkRemove(canRemove);
1116      if (totalCount == 1) {
1117        entryIterator.remove();
1118      } else {
1119        /*
1120         * requireNonNull is safe because canRemove is set to true only after we initialize
1121         * currentEntry (which we never subsequently clear).
1122         */
1123        multiset.remove(requireNonNull(currentEntry).getElement());
1124      }
1125      totalCount--;
1126      canRemove = false;
1127    }
1128  }
1129
1130  static <E extends @Nullable Object> Spliterator<E> spliteratorImpl(Multiset<E> multiset) {
1131    Spliterator<Entry<E>> entrySpliterator = multiset.entrySet().spliterator();
1132    return CollectSpliterators.flatMap(
1133        entrySpliterator,
1134        entry -> Collections.nCopies(entry.getCount(), entry.getElement()).spliterator(),
1135        Spliterator.SIZED
1136            | (entrySpliterator.characteristics()
1137                & (Spliterator.ORDERED | Spliterator.NONNULL | Spliterator.IMMUTABLE)),
1138        multiset.size());
1139  }
1140
1141  /** An implementation of {@link Multiset#size}. */
1142  static int linearTimeSizeImpl(Multiset<?> multiset) {
1143    long size = 0;
1144    for (Entry<?> entry : multiset.entrySet()) {
1145      size += entry.getCount();
1146    }
1147    return Ints.saturatedCast(size);
1148  }
1149
1150  /** Used to avoid http://bugs.sun.com/view_bug.do?bug_id=6558557 */
1151  static <T extends @Nullable Object> Multiset<T> cast(Iterable<T> iterable) {
1152    return (Multiset<T>) iterable;
1153  }
1154
1155  /**
1156   * Returns a copy of {@code multiset} as an {@link ImmutableMultiset} whose iteration order puts
1157   * the highest count first, with ties broken by the iteration order of the original multiset.
1158   *
1159   * @since 11.0
1160   */
1161  public static <E> ImmutableMultiset<E> copyHighestCountFirst(Multiset<E> multiset) {
1162    Entry<E>[] entries = (Entry<E>[]) multiset.entrySet().toArray(new Entry[0]);
1163    Arrays.sort(entries, DecreasingCount.INSTANCE);
1164    return ImmutableMultiset.copyFromEntries(Arrays.asList(entries));
1165  }
1166
1167  private static final class DecreasingCount implements Comparator<Entry<?>> {
1168    static final DecreasingCount INSTANCE = new DecreasingCount();
1169
1170    @Override
1171    public int compare(Entry<?> entry1, Entry<?> entry2) {
1172      return entry2.getCount() - entry1.getCount(); // subtracting two nonnegative integers
1173    }
1174  }
1175
1176  /**
1177   * An {@link AbstractMultiset} with additional default implementations, some of them linear-time
1178   * implementations in terms of {@code elementSet} and {@code entrySet}.
1179   */
1180  private abstract static class ViewMultiset<E extends @Nullable Object>
1181      extends AbstractMultiset<E> {
1182    @Override
1183    public int size() {
1184      return linearTimeSizeImpl(this);
1185    }
1186
1187    @Override
1188    public void clear() {
1189      elementSet().clear();
1190    }
1191
1192    @Override
1193    public Iterator<E> iterator() {
1194      return iteratorImpl(this);
1195    }
1196
1197    @Override
1198    int distinctElements() {
1199      return elementSet().size();
1200    }
1201  }
1202}