/* * Copyright (C) 2007 The Guava Authors * * Licensed 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.google.common.collect; import static com.google.common.base.Preconditions.checkArgument; import static com.google.common.base.Preconditions.checkNotNull; import static com.google.common.collect.CollectPreconditions.checkNonnegative; import com.google.common.annotations.Beta; import com.google.common.annotations.GwtCompatible; import com.google.common.annotations.GwtIncompatible; import com.google.common.base.Predicate; import com.google.common.base.Predicates; import com.google.common.collect.Collections2.FilteredCollection; import com.google.common.math.IntMath; import com.google.errorprone.annotations.CanIgnoreReturnValue; import java.io.Serializable; import java.util.AbstractSet; import java.util.Arrays; import java.util.BitSet; import java.util.Collection; import java.util.Collections; import java.util.Comparator; import java.util.EnumSet; import java.util.HashSet; import java.util.Iterator; import java.util.LinkedHashSet; import java.util.List; import java.util.Map; import java.util.NavigableSet; import java.util.NoSuchElementException; import java.util.Set; import java.util.SortedSet; import java.util.TreeSet; import java.util.concurrent.ConcurrentHashMap; import java.util.concurrent.CopyOnWriteArraySet; import java.util.stream.Collector; import java.util.stream.Stream; import javax.annotation.Nullable; /** * Static utility methods pertaining to {@link Set} instances. Also see this * class's counterparts {@link Lists}, {@link Maps} and {@link Queues}. * * <p>See the Guava User Guide article on <a href= * "https://github.com/google/guava/wiki/CollectionUtilitiesExplained#sets"> * {@code Sets}</a>. * * @author Kevin Bourrillion * @author Jared Levy * @author Chris Povirk * @since 2.0 */ @GwtCompatible(emulated = true) public final class Sets { private Sets() {} /** * {@link AbstractSet} substitute without the potentially-quadratic * {@code removeAll} implementation. */ abstract static class ImprovedAbstractSet<E> extends AbstractSet<E> { @Override public boolean removeAll(Collection<?> c) { return removeAllImpl(this, c); } @Override public boolean retainAll(Collection<?> c) { return super.retainAll(checkNotNull(c)); // GWT compatibility } } /** * Returns an immutable set instance containing the given enum elements. * Internally, the returned set will be backed by an {@link EnumSet}. * * <p>The iteration order of the returned set follows the enum's iteration * order, not the order in which the elements are provided to the method. * * @param anElement one of the elements the set should contain * @param otherElements the rest of the elements the set should contain * @return an immutable set containing those elements, minus duplicates */ // http://code.google.com/p/google-web-toolkit/issues/detail?id=3028 @GwtCompatible(serializable = true) public static <E extends Enum<E>> ImmutableSet<E> immutableEnumSet( E anElement, E... otherElements) { return ImmutableEnumSet.asImmutable(EnumSet.of(anElement, otherElements)); } /** * Returns an immutable set instance containing the given enum elements. * Internally, the returned set will be backed by an {@link EnumSet}. * * <p>The iteration order of the returned set follows the enum's iteration * order, not the order in which the elements appear in the given collection. * * @param elements the elements, all of the same {@code enum} type, that the * set should contain * @return an immutable set containing those elements, minus duplicates */ // http://code.google.com/p/google-web-toolkit/issues/detail?id=3028 @GwtCompatible(serializable = true) public static <E extends Enum<E>> ImmutableSet<E> immutableEnumSet(Iterable<E> elements) { if (elements instanceof ImmutableEnumSet) { return (ImmutableEnumSet<E>) elements; } else if (elements instanceof Collection) { Collection<E> collection = (Collection<E>) elements; if (collection.isEmpty()) { return ImmutableSet.of(); } else { return ImmutableEnumSet.asImmutable(EnumSet.copyOf(collection)); } } else { Iterator<E> itr = elements.iterator(); if (itr.hasNext()) { EnumSet<E> enumSet = EnumSet.of(itr.next()); Iterators.addAll(enumSet, itr); return ImmutableEnumSet.asImmutable(enumSet); } else { return ImmutableSet.of(); } } } private static final class Accumulator<E extends Enum<E>> { static final Collector<Enum<?>, ?, ImmutableSet<? extends Enum<?>>> TO_IMMUTABLE_ENUM_SET = (Collector) Collector.<Enum, Accumulator, ImmutableSet<?>>of( Accumulator::new, Accumulator::add, Accumulator::combine, Accumulator::toImmutableSet, Collector.Characteristics.UNORDERED); private EnumSet<E> set; void add(E e) { if (set == null) { set = EnumSet.of(e); } else { set.add(e); } } Accumulator<E> combine(Accumulator<E> other) { if (this.set == null) { return other; } else if (other.set == null) { return this; } else { this.set.addAll(other.set); return this; } } ImmutableSet<E> toImmutableSet() { return (set == null) ? ImmutableSet.<E>of() : ImmutableEnumSet.asImmutable(set); } } /** * Returns a {@code Collector} that accumulates the input elements into a new {@code ImmutableSet} * with an implementation specialized for enums. Unlike {@link ImmutableSet#toImmutableSet}, the * resulting set will iterate over elements in their enum definition order, not encounter order. * * @since 21.0 */ @Beta public static <E extends Enum<E>> Collector<E, ?, ImmutableSet<E>> toImmutableEnumSet() { return (Collector) Accumulator.TO_IMMUTABLE_ENUM_SET; } /** * Returns a new, <i>mutable</i> {@code EnumSet} instance containing the given elements in their * natural order. This method behaves identically to {@link EnumSet#copyOf(Collection)}, but also * accepts non-{@code Collection} iterables and empty iterables. */ public static <E extends Enum<E>> EnumSet<E> newEnumSet( Iterable<E> iterable, Class<E> elementType) { EnumSet<E> set = EnumSet.noneOf(elementType); Iterables.addAll(set, iterable); return set; } // HashSet /** * Creates a <i>mutable</i>, initially empty {@code HashSet} instance. * * <p><b>Note:</b> if mutability is not required, use {@link ImmutableSet#of()} instead. If * {@code E} is an {@link Enum} type, use {@link EnumSet#noneOf} instead. Otherwise, strongly * consider using a {@code LinkedHashSet} instead, at the cost of increased memory footprint, to * get deterministic iteration behavior. * * <p><b>Note for Java 7 and later:</b> this method is now unnecessary and should be treated as * deprecated. Instead, use the {@code HashSet} constructor directly, taking advantage of the new * <a href="http://goo.gl/iz2Wi">"diamond" syntax</a>. */ public static <E> HashSet<E> newHashSet() { return new HashSet<E>(); } /** * Creates a <i>mutable</i> {@code HashSet} instance initially containing the given elements. * * <p><b>Note:</b> if elements are non-null and won't be added or removed after this point, use * {@link ImmutableSet#of()} or {@link ImmutableSet#copyOf(Object[])} instead. If {@code E} is an * {@link Enum} type, use {@link EnumSet#of(Enum, Enum[])} instead. Otherwise, strongly consider * using a {@code LinkedHashSet} instead, at the cost of increased memory footprint, to get * deterministic iteration behavior. * * <p>This method is just a small convenience, either for {@code newHashSet(}{@link Arrays#asList * asList}{@code (...))}, or for creating an empty set then calling {@link Collections#addAll}. * This method is not actually very useful and will likely be deprecated in the future. */ public static <E> HashSet<E> newHashSet(E... elements) { HashSet<E> set = newHashSetWithExpectedSize(elements.length); Collections.addAll(set, elements); return set; } /** * Returns a new hash set using the smallest initial table size that can hold {@code expectedSize} * elements without resizing. Note that this is not what {@link HashSet#HashSet(int)} does, but it * is what most users want and expect it to do. * * <p>This behavior can't be broadly guaranteed, but has been tested with OpenJDK 1.7 and 1.8. * * @param expectedSize the number of elements you expect to add to the returned set * @return a new, empty hash set with enough capacity to hold {@code expectedSize} elements * without resizing * @throws IllegalArgumentException if {@code expectedSize} is negative */ public static <E> HashSet<E> newHashSetWithExpectedSize(int expectedSize) { return new HashSet<E>(Maps.capacity(expectedSize)); } /** * Creates a <i>mutable</i> {@code HashSet} instance containing the given elements. A very thin * convenience for creating an empty set then calling {@link Collection#addAll} or {@link * Iterables#addAll}. * * <p><b>Note:</b> if mutability is not required and the elements are non-null, use {@link * ImmutableSet#copyOf(Iterable)} instead. (Or, change {@code elements} to be a {@link * FluentIterable} and call {@code elements.toSet()}.) * * <p><b>Note:</b> if {@code E} is an {@link Enum} type, use {@link #newEnumSet(Iterable, Class)} * instead. * * <p><b>Note for Java 7 and later:</b> if {@code elements} is a {@link Collection}, you don't * need this method. Instead, use the {@code HashSet} constructor directly, taking advantage of * the new <a href="http://goo.gl/iz2Wi">"diamond" syntax</a>. * * <p>Overall, this method is not very useful and will likely be deprecated in the future. */ public static <E> HashSet<E> newHashSet(Iterable<? extends E> elements) { return (elements instanceof Collection) ? new HashSet<E>(Collections2.cast(elements)) : newHashSet(elements.iterator()); } /** * Creates a <i>mutable</i> {@code HashSet} instance containing the given elements. A very thin * convenience for creating an empty set and then calling {@link Iterators#addAll}. * * <p><b>Note:</b> if mutability is not required and the elements are non-null, use {@link * ImmutableSet#copyOf(Iterator)} instead. * * <p><b>Note:</b> if {@code E} is an {@link Enum} type, you should create an {@link EnumSet} * instead. * * <p>Overall, this method is not very useful and will likely be deprecated in the future. */ public static <E> HashSet<E> newHashSet(Iterator<? extends E> elements) { HashSet<E> set = newHashSet(); Iterators.addAll(set, elements); return set; } /** * Creates a thread-safe set backed by a hash map. The set is backed by a * {@link ConcurrentHashMap} instance, and thus carries the same concurrency * guarantees. * * <p>Unlike {@code HashSet}, this class does NOT allow {@code null} to be * used as an element. The set is serializable. * * @return a new, empty thread-safe {@code Set} * @since 15.0 */ public static <E> Set<E> newConcurrentHashSet() { return Collections.newSetFromMap(new ConcurrentHashMap<E, Boolean>()); } /** * Creates a thread-safe set backed by a hash map and containing the given * elements. The set is backed by a {@link ConcurrentHashMap} instance, and * thus carries the same concurrency guarantees. * * <p>Unlike {@code HashSet}, this class does NOT allow {@code null} to be * used as an element. The set is serializable. * * @param elements the elements that the set should contain * @return a new thread-safe set containing those elements (minus duplicates) * @throws NullPointerException if {@code elements} or any of its contents is * null * @since 15.0 */ public static <E> Set<E> newConcurrentHashSet(Iterable<? extends E> elements) { Set<E> set = newConcurrentHashSet(); Iterables.addAll(set, elements); return set; } // LinkedHashSet /** * Creates a <i>mutable</i>, empty {@code LinkedHashSet} instance. * * <p><b>Note:</b> if mutability is not required, use {@link ImmutableSet#of()} instead. * * <p><b>Note for Java 7 and later:</b> this method is now unnecessary and should be treated as * deprecated. Instead, use the {@code LinkedHashSet} constructor directly, taking advantage of * the new <a href="http://goo.gl/iz2Wi">"diamond" syntax</a>. * * @return a new, empty {@code LinkedHashSet} */ public static <E> LinkedHashSet<E> newLinkedHashSet() { return new LinkedHashSet<E>(); } /** * Creates a {@code LinkedHashSet} instance, with a high enough "initial capacity" that it * <i>should</i> hold {@code expectedSize} elements without growth. This behavior cannot be * broadly guaranteed, but it is observed to be true for OpenJDK 1.7. It also can't be guaranteed * that the method isn't inadvertently <i>oversizing</i> the returned set. * * @param expectedSize the number of elements you expect to add to the returned set * @return a new, empty {@code LinkedHashSet} with enough capacity to hold {@code expectedSize} * elements without resizing * @throws IllegalArgumentException if {@code expectedSize} is negative * @since 11.0 */ public static <E> LinkedHashSet<E> newLinkedHashSetWithExpectedSize(int expectedSize) { return new LinkedHashSet<E>(Maps.capacity(expectedSize)); } /** * Creates a <i>mutable</i> {@code LinkedHashSet} instance containing the given elements in order. * * <p><b>Note:</b> if mutability is not required and the elements are non-null, use {@link * ImmutableSet#copyOf(Iterable)} instead. * * <p><b>Note for Java 7 and later:</b> if {@code elements} is a {@link Collection}, you don't * need this method. Instead, use the {@code LinkedHashSet} constructor directly, taking advantage * of the new <a href="http://goo.gl/iz2Wi">"diamond" syntax</a>. * * <p>Overall, this method is not very useful and will likely be deprecated in the future. * * @param elements the elements that the set should contain, in order * @return a new {@code LinkedHashSet} containing those elements (minus duplicates) */ public static <E> LinkedHashSet<E> newLinkedHashSet(Iterable<? extends E> elements) { if (elements instanceof Collection) { return new LinkedHashSet<E>(Collections2.cast(elements)); } LinkedHashSet<E> set = newLinkedHashSet(); Iterables.addAll(set, elements); return set; } // TreeSet /** * Creates a <i>mutable</i>, empty {@code TreeSet} instance sorted by the natural sort ordering of * its elements. * * <p><b>Note:</b> if mutability is not required, use {@link ImmutableSortedSet#of()} instead. * * <p><b>Note for Java 7 and later:</b> this method is now unnecessary and should be treated as * deprecated. Instead, use the {@code TreeSet} constructor directly, taking advantage of the new * <a href="http://goo.gl/iz2Wi">"diamond" syntax</a>. * * @return a new, empty {@code TreeSet} */ public static <E extends Comparable> TreeSet<E> newTreeSet() { return new TreeSet<E>(); } /** * Creates a <i>mutable</i> {@code TreeSet} instance containing the given elements sorted by their * natural ordering. * * <p><b>Note:</b> if mutability is not required, use {@link ImmutableSortedSet#copyOf(Iterable)} * instead. * * <p><b>Note:</b> If {@code elements} is a {@code SortedSet} with an explicit comparator, this * method has different behavior than {@link TreeSet#TreeSet(SortedSet)}, which returns a {@code * TreeSet} with that comparator. * * <p><b>Note for Java 7 and later:</b> this method is now unnecessary and should be treated as * deprecated. Instead, use the {@code TreeSet} constructor directly, taking advantage of the new * <a href="http://goo.gl/iz2Wi">"diamond" syntax</a>. * * <p>This method is just a small convenience for creating an empty set and then calling {@link * Iterables#addAll}. This method is not very useful and will likely be deprecated in the future. * * @param elements the elements that the set should contain * @return a new {@code TreeSet} containing those elements (minus duplicates) */ public static <E extends Comparable> TreeSet<E> newTreeSet(Iterable<? extends E> elements) { TreeSet<E> set = newTreeSet(); Iterables.addAll(set, elements); return set; } /** * Creates a <i>mutable</i>, empty {@code TreeSet} instance with the given comparator. * * <p><b>Note:</b> if mutability is not required, use {@code * ImmutableSortedSet.orderedBy(comparator).build()} instead. * * <p><b>Note for Java 7 and later:</b> this method is now unnecessary and should be treated as * deprecated. Instead, use the {@code TreeSet} constructor directly, taking advantage of the new * <a href="http://goo.gl/iz2Wi">"diamond" syntax</a>. One caveat to this is that the {@code * TreeSet} constructor uses a null {@code Comparator} to mean "natural ordering," whereas this * factory rejects null. Clean your code accordingly. * * @param comparator the comparator to use to sort the set * @return a new, empty {@code TreeSet} * @throws NullPointerException if {@code comparator} is null */ public static <E> TreeSet<E> newTreeSet(Comparator<? super E> comparator) { return new TreeSet<E>(checkNotNull(comparator)); } /** * Creates an empty {@code Set} that uses identity to determine equality. It * compares object references, instead of calling {@code equals}, to * determine whether a provided object matches an element in the set. For * example, {@code contains} returns {@code false} when passed an object that * equals a set member, but isn't the same instance. This behavior is similar * to the way {@code IdentityHashMap} handles key lookups. * * @since 8.0 */ public static <E> Set<E> newIdentityHashSet() { return Collections.newSetFromMap(Maps.<E, Boolean>newIdentityHashMap()); } /** * Creates an empty {@code CopyOnWriteArraySet} instance. * * <p><b>Note:</b> if you need an immutable empty {@link Set}, use * {@link Collections#emptySet} instead. * * @return a new, empty {@code CopyOnWriteArraySet} * @since 12.0 */ @GwtIncompatible // CopyOnWriteArraySet public static <E> CopyOnWriteArraySet<E> newCopyOnWriteArraySet() { return new CopyOnWriteArraySet<E>(); } /** * Creates a {@code CopyOnWriteArraySet} instance containing the given elements. * * @param elements the elements that the set should contain, in order * @return a new {@code CopyOnWriteArraySet} containing those elements * @since 12.0 */ @GwtIncompatible // CopyOnWriteArraySet public static <E> CopyOnWriteArraySet<E> newCopyOnWriteArraySet(Iterable<? extends E> elements) { // We copy elements to an ArrayList first, rather than incurring the // quadratic cost of adding them to the COWAS directly. Collection<? extends E> elementsCollection = (elements instanceof Collection) ? Collections2.cast(elements) : Lists.newArrayList(elements); return new CopyOnWriteArraySet<E>(elementsCollection); } /** * Creates an {@code EnumSet} consisting of all enum values that are not in * the specified collection. If the collection is an {@link EnumSet}, this * method has the same behavior as {@link EnumSet#complementOf}. Otherwise, * the specified collection must contain at least one element, in order to * determine the element type. If the collection could be empty, use * {@link #complementOf(Collection, Class)} instead of this method. * * @param collection the collection whose complement should be stored in the * enum set * @return a new, modifiable {@code EnumSet} containing all values of the enum * that aren't present in the given collection * @throws IllegalArgumentException if {@code collection} is not an * {@code EnumSet} instance and contains no elements */ public static <E extends Enum<E>> EnumSet<E> complementOf(Collection<E> collection) { if (collection instanceof EnumSet) { return EnumSet.complementOf((EnumSet<E>) collection); } checkArgument( !collection.isEmpty(), "collection is empty; use the other version of this method"); Class<E> type = collection.iterator().next().getDeclaringClass(); return makeComplementByHand(collection, type); } /** * Creates an {@code EnumSet} consisting of all enum values that are not in * the specified collection. This is equivalent to * {@link EnumSet#complementOf}, but can act on any input collection, as long * as the elements are of enum type. * * @param collection the collection whose complement should be stored in the * {@code EnumSet} * @param type the type of the elements in the set * @return a new, modifiable {@code EnumSet} initially containing all the * values of the enum not present in the given collection */ public static <E extends Enum<E>> EnumSet<E> complementOf( Collection<E> collection, Class<E> type) { checkNotNull(collection); return (collection instanceof EnumSet) ? EnumSet.complementOf((EnumSet<E>) collection) : makeComplementByHand(collection, type); } private static <E extends Enum<E>> EnumSet<E> makeComplementByHand( Collection<E> collection, Class<E> type) { EnumSet<E> result = EnumSet.allOf(type); result.removeAll(collection); return result; } /** * Returns a set backed by the specified map. The resulting set displays * the same ordering, concurrency, and performance characteristics as the * backing map. In essence, this factory method provides a {@link Set} * implementation corresponding to any {@link Map} implementation. There is no * need to use this method on a {@link Map} implementation that already has a * corresponding {@link Set} implementation (such as {@link java.util.HashMap} * or {@link java.util.TreeMap}). * * <p>Each method invocation on the set returned by this method results in * exactly one method invocation on the backing map or its {@code keySet} * view, with one exception. The {@code addAll} method is implemented as a * sequence of {@code put} invocations on the backing map. * * <p>The specified map must be empty at the time this method is invoked, * and should not be accessed directly after this method returns. These * conditions are ensured if the map is created empty, passed directly * to this method, and no reference to the map is retained, as illustrated * in the following code fragment: <pre> {@code * * Set<Object> identityHashSet = Sets.newSetFromMap( * new IdentityHashMap<Object, Boolean>());}</pre> * * <p>The returned set is serializable if the backing map is. * * @param map the backing map * @return the set backed by the map * @throws IllegalArgumentException if {@code map} is not empty * @deprecated Use {@link Collections#newSetFromMap} instead. This method * will be removed in December 2017. */ @Deprecated public static <E> Set<E> newSetFromMap(Map<E, Boolean> map) { return Collections.newSetFromMap(map); } /** * An unmodifiable view of a set which may be backed by other sets; this view * will change as the backing sets do. Contains methods to copy the data into * a new set which will then remain stable. There is usually no reason to * retain a reference of type {@code SetView}; typically, you either use it * as a plain {@link Set}, or immediately invoke {@link #immutableCopy} or * {@link #copyInto} and forget the {@code SetView} itself. * * @since 2.0 */ public abstract static class SetView<E> extends AbstractSet<E> { private SetView() {} // no subclasses but our own /** * Returns an immutable copy of the current contents of this set view. * Does not support null elements. * * <p><b>Warning:</b> this may have unexpected results if a backing set of * this view uses a nonstandard notion of equivalence, for example if it is * a {@link TreeSet} using a comparator that is inconsistent with {@link * Object#equals(Object)}. */ public ImmutableSet<E> immutableCopy() { return ImmutableSet.copyOf(this); } /** * Copies the current contents of this set view into an existing set. This * method has equivalent behavior to {@code set.addAll(this)}, assuming that * all the sets involved are based on the same notion of equivalence. * * @return a reference to {@code set}, for convenience */ // Note: S should logically extend Set<? super E> but can't due to either // some javac bug or some weirdness in the spec, not sure which. @CanIgnoreReturnValue public <S extends Set<E>> S copyInto(S set) { set.addAll(this); return set; } /** * Guaranteed to throw an exception and leave the collection unmodified. * * @throws UnsupportedOperationException always * @deprecated Unsupported operation. */ @CanIgnoreReturnValue @Deprecated @Override public final boolean add(E e) { throw new UnsupportedOperationException(); } /** * Guaranteed to throw an exception and leave the collection unmodified. * * @throws UnsupportedOperationException always * @deprecated Unsupported operation. */ @CanIgnoreReturnValue @Deprecated @Override public final boolean remove(Object object) { throw new UnsupportedOperationException(); } /** * Guaranteed to throw an exception and leave the collection unmodified. * * @throws UnsupportedOperationException always * @deprecated Unsupported operation. */ @CanIgnoreReturnValue @Deprecated @Override public final boolean addAll(Collection<? extends E> newElements) { throw new UnsupportedOperationException(); } /** * Guaranteed to throw an exception and leave the collection unmodified. * * @throws UnsupportedOperationException always * @deprecated Unsupported operation. */ @CanIgnoreReturnValue @Deprecated @Override public final boolean removeAll(Collection<?> oldElements) { throw new UnsupportedOperationException(); } /** * Guaranteed to throw an exception and leave the collection unmodified. * * @throws UnsupportedOperationException always * @deprecated Unsupported operation. */ @CanIgnoreReturnValue @Deprecated @Override public final boolean removeIf(java.util.function.Predicate<? super E> filter) { throw new UnsupportedOperationException(); } /** * Guaranteed to throw an exception and leave the collection unmodified. * * @throws UnsupportedOperationException always * @deprecated Unsupported operation. */ @CanIgnoreReturnValue @Deprecated @Override public final boolean retainAll(Collection<?> elementsToKeep) { throw new UnsupportedOperationException(); } /** * Guaranteed to throw an exception and leave the collection unmodified. * * @throws UnsupportedOperationException always * @deprecated Unsupported operation. */ @Deprecated @Override public final void clear() { throw new UnsupportedOperationException(); } /** * Scope the return type to {@link UnmodifiableIterator} to ensure this is an unmodifiable view. * * @since 20.0 (present with return type {@link Iterator} since 2.0) */ @Override public abstract UnmodifiableIterator<E> iterator(); } /** * Returns an unmodifiable <b>view</b> of the union of two sets. The returned * set contains all elements that are contained in either backing set. * Iterating over the returned set iterates first over all the elements of * {@code set1}, then over each element of {@code set2}, in order, that is not * contained in {@code set1}. * * <p>Results are undefined if {@code set1} and {@code set2} are sets based on * different equivalence relations (as {@link HashSet}, {@link TreeSet}, and * the {@link Map#keySet} of an {@code IdentityHashMap} all are). */ public static <E> SetView<E> union(final Set<? extends E> set1, final Set<? extends E> set2) { checkNotNull(set1, "set1"); checkNotNull(set2, "set2"); final Set<? extends E> set2minus1 = difference(set2, set1); return new SetView<E>() { @Override public int size() { return IntMath.saturatedAdd(set1.size(), set2minus1.size()); } @Override public boolean isEmpty() { return set1.isEmpty() && set2.isEmpty(); } @Override public UnmodifiableIterator<E> iterator() { return Iterators.unmodifiableIterator( Iterators.concat(set1.iterator(), set2minus1.iterator())); } @Override public Stream<E> stream() { return Stream.concat(set1.stream(), set2minus1.stream()); } @Override public Stream<E> parallelStream() { return Stream.concat(set1.parallelStream(), set2minus1.parallelStream()); } @Override public boolean contains(Object object) { return set1.contains(object) || set2.contains(object); } @Override public <S extends Set<E>> S copyInto(S set) { set.addAll(set1); set.addAll(set2); return set; } @Override public ImmutableSet<E> immutableCopy() { return new ImmutableSet.Builder<E>().addAll(set1).addAll(set2).build(); } }; } /** * Returns an unmodifiable <b>view</b> of the intersection of two sets. The * returned set contains all elements that are contained by both backing sets. * The iteration order of the returned set matches that of {@code set1}. * * <p>Results are undefined if {@code set1} and {@code set2} are sets based * on different equivalence relations (as {@code HashSet}, {@code TreeSet}, * and the keySet of an {@code IdentityHashMap} all are). * * <p><b>Note:</b> The returned view performs slightly better when {@code * set1} is the smaller of the two sets. If you have reason to believe one of * your sets will generally be smaller than the other, pass it first. * Unfortunately, since this method sets the generic type of the returned set * based on the type of the first set passed, this could in rare cases force * you to make a cast, for example: <pre> {@code * * Set<Object> aFewBadObjects = ... * Set<String> manyBadStrings = ... * * // impossible for a non-String to be in the intersection * SuppressWarnings("unchecked") * Set<String> badStrings = (Set) Sets.intersection( * aFewBadObjects, manyBadStrings);}</pre> * * <p>This is unfortunate, but should come up only very rarely. */ public static <E> SetView<E> intersection(final Set<E> set1, final Set<?> set2) { checkNotNull(set1, "set1"); checkNotNull(set2, "set2"); final Predicate<Object> inSet2 = Predicates.in(set2); return new SetView<E>() { @Override public UnmodifiableIterator<E> iterator() { return Iterators.filter(set1.iterator(), inSet2); } @Override public Stream<E> stream() { return set1.stream().filter(inSet2); } @Override public Stream<E> parallelStream() { return set1.parallelStream().filter(inSet2); } @Override public int size() { return Iterators.size(iterator()); } @Override public boolean isEmpty() { return !iterator().hasNext(); } @Override public boolean contains(Object object) { return set1.contains(object) && set2.contains(object); } @Override public boolean containsAll(Collection<?> collection) { return set1.containsAll(collection) && set2.containsAll(collection); } }; } /** * Returns an unmodifiable <b>view</b> of the difference of two sets. The * returned set contains all elements that are contained by {@code set1} and * not contained by {@code set2}. {@code set2} may also contain elements not * present in {@code set1}; these are simply ignored. The iteration order of * the returned set matches that of {@code set1}. * * <p>Results are undefined if {@code set1} and {@code set2} are sets based * on different equivalence relations (as {@code HashSet}, {@code TreeSet}, * and the keySet of an {@code IdentityHashMap} all are). */ public static <E> SetView<E> difference(final Set<E> set1, final Set<?> set2) { checkNotNull(set1, "set1"); checkNotNull(set2, "set2"); final Predicate<Object> notInSet2 = Predicates.not(Predicates.in(set2)); return new SetView<E>() { @Override public UnmodifiableIterator<E> iterator() { return Iterators.filter(set1.iterator(), notInSet2); } @Override public Stream<E> stream() { return set1.stream().filter(notInSet2); } @Override public Stream<E> parallelStream() { return set1.parallelStream().filter(notInSet2); } @Override public int size() { return Iterators.size(iterator()); } @Override public boolean isEmpty() { return set2.containsAll(set1); } @Override public boolean contains(Object element) { return set1.contains(element) && !set2.contains(element); } }; } /** * Returns an unmodifiable <b>view</b> of the symmetric difference of two * sets. The returned set contains all elements that are contained in either * {@code set1} or {@code set2} but not in both. The iteration order of the * returned set is undefined. * * <p>Results are undefined if {@code set1} and {@code set2} are sets based * on different equivalence relations (as {@code HashSet}, {@code TreeSet}, * and the keySet of an {@code IdentityHashMap} all are). * * @since 3.0 */ public static <E> SetView<E> symmetricDifference( final Set<? extends E> set1, final Set<? extends E> set2) { checkNotNull(set1, "set1"); checkNotNull(set2, "set2"); return new SetView<E>() { @Override public UnmodifiableIterator<E> iterator() { final Iterator<? extends E> itr1 = set1.iterator(); final Iterator<? extends E> itr2 = set2.iterator(); return new AbstractIterator<E>() { @Override public E computeNext() { while (itr1.hasNext()) { E elem1 = itr1.next(); if (!set2.contains(elem1)) { return elem1; } } while (itr2.hasNext()) { E elem2 = itr2.next(); if (!set1.contains(elem2)) { return elem2; } } return endOfData(); } }; } @Override public int size() { return Iterators.size(iterator()); } @Override public boolean isEmpty() { return set1.equals(set2); } @Override public boolean contains(Object element) { return set1.contains(element) ^ set2.contains(element); } }; } /** * Returns the elements of {@code unfiltered} that satisfy a predicate. The * returned set is a live view of {@code unfiltered}; changes to one affect * the other. * * <p>The resulting set's iterator does not support {@code remove()}, but all * other set methods are supported. When given an element that doesn't satisfy * the predicate, the set's {@code add()} and {@code addAll()} methods throw * an {@link IllegalArgumentException}. When methods such as {@code * removeAll()} and {@code clear()} are called on the filtered set, only * elements that satisfy the filter will be removed from the underlying set. * * <p>The returned set isn't threadsafe or serializable, even if * {@code unfiltered} is. * * <p>Many of the filtered set's methods, such as {@code size()}, iterate * across every element in the underlying set and determine which elements * satisfy the filter. When a live view is <i>not</i> needed, it may be faster * to copy {@code Iterables.filter(unfiltered, predicate)} and use the copy. * * <p><b>Warning:</b> {@code predicate} must be <i>consistent with equals</i>, * as documented at {@link Predicate#apply}. Do not provide a predicate such * as {@code Predicates.instanceOf(ArrayList.class)}, which is inconsistent * with equals. (See {@link Iterables#filter(Iterable, Class)} for related * functionality.) * * <p><b>Java 8 users:</b> many use cases for this method are better * addressed by {@link java.util.stream.Stream#filter}. This method is not * being deprecated, but we gently encourage you to migrate to streams. */ // TODO(kevinb): how to omit that last sentence when building GWT javadoc? public static <E> Set<E> filter(Set<E> unfiltered, Predicate<? super E> predicate) { if (unfiltered instanceof SortedSet) { return filter((SortedSet<E>) unfiltered, predicate); } if (unfiltered instanceof FilteredSet) { // Support clear(), removeAll(), and retainAll() when filtering a filtered // collection. FilteredSet<E> filtered = (FilteredSet<E>) unfiltered; Predicate<E> combinedPredicate = Predicates.<E>and(filtered.predicate, predicate); return new FilteredSet<E>((Set<E>) filtered.unfiltered, combinedPredicate); } return new FilteredSet<E>(checkNotNull(unfiltered), checkNotNull(predicate)); } private static class FilteredSet<E> extends FilteredCollection<E> implements Set<E> { FilteredSet(Set<E> unfiltered, Predicate<? super E> predicate) { super(unfiltered, predicate); } @Override public boolean equals(@Nullable Object object) { return equalsImpl(this, object); } @Override public int hashCode() { return hashCodeImpl(this); } } /** * Returns the elements of a {@code SortedSet}, {@code unfiltered}, that * satisfy a predicate. The returned set is a live view of {@code unfiltered}; * changes to one affect the other. * * <p>The resulting set's iterator does not support {@code remove()}, but all * other set methods are supported. When given an element that doesn't satisfy * the predicate, the set's {@code add()} and {@code addAll()} methods throw * an {@link IllegalArgumentException}. When methods such as * {@code removeAll()} and {@code clear()} are called on the filtered set, * only elements that satisfy the filter will be removed from the underlying * set. * * <p>The returned set isn't threadsafe or serializable, even if * {@code unfiltered} is. * * <p>Many of the filtered set's methods, such as {@code size()}, iterate across * every element in the underlying set and determine which elements satisfy * the filter. When a live view is <i>not</i> needed, it may be faster to copy * {@code Iterables.filter(unfiltered, predicate)} and use the copy. * * <p><b>Warning:</b> {@code predicate} must be <i>consistent with equals</i>, * as documented at {@link Predicate#apply}. Do not provide a predicate such as * {@code Predicates.instanceOf(ArrayList.class)}, which is inconsistent with * equals. (See {@link Iterables#filter(Iterable, Class)} for related * functionality.) * * @since 11.0 */ public static <E> SortedSet<E> filter(SortedSet<E> unfiltered, Predicate<? super E> predicate) { if (unfiltered instanceof FilteredSet) { // Support clear(), removeAll(), and retainAll() when filtering a filtered // collection. FilteredSet<E> filtered = (FilteredSet<E>) unfiltered; Predicate<E> combinedPredicate = Predicates.<E>and(filtered.predicate, predicate); return new FilteredSortedSet<E>((SortedSet<E>) filtered.unfiltered, combinedPredicate); } return new FilteredSortedSet<E>(checkNotNull(unfiltered), checkNotNull(predicate)); } private static class FilteredSortedSet<E> extends FilteredSet<E> implements SortedSet<E> { FilteredSortedSet(SortedSet<E> unfiltered, Predicate<? super E> predicate) { super(unfiltered, predicate); } @Override public Comparator<? super E> comparator() { return ((SortedSet<E>) unfiltered).comparator(); } @Override public SortedSet<E> subSet(E fromElement, E toElement) { return new FilteredSortedSet<E>( ((SortedSet<E>) unfiltered).subSet(fromElement, toElement), predicate); } @Override public SortedSet<E> headSet(E toElement) { return new FilteredSortedSet<E>(((SortedSet<E>) unfiltered).headSet(toElement), predicate); } @Override public SortedSet<E> tailSet(E fromElement) { return new FilteredSortedSet<E>(((SortedSet<E>) unfiltered).tailSet(fromElement), predicate); } @Override public E first() { return Iterators.find(unfiltered.iterator(), predicate); } @Override public E last() { SortedSet<E> sortedUnfiltered = (SortedSet<E>) unfiltered; while (true) { E element = sortedUnfiltered.last(); if (predicate.apply(element)) { return element; } sortedUnfiltered = sortedUnfiltered.headSet(element); } } } /** * Returns the elements of a {@code NavigableSet}, {@code unfiltered}, that * satisfy a predicate. The returned set is a live view of {@code unfiltered}; * changes to one affect the other. * * <p>The resulting set's iterator does not support {@code remove()}, but all * other set methods are supported. When given an element that doesn't satisfy * the predicate, the set's {@code add()} and {@code addAll()} methods throw * an {@link IllegalArgumentException}. When methods such as * {@code removeAll()} and {@code clear()} are called on the filtered set, * only elements that satisfy the filter will be removed from the underlying * set. * * <p>The returned set isn't threadsafe or serializable, even if * {@code unfiltered} is. * * <p>Many of the filtered set's methods, such as {@code size()}, iterate across * every element in the underlying set and determine which elements satisfy * the filter. When a live view is <i>not</i> needed, it may be faster to copy * {@code Iterables.filter(unfiltered, predicate)} and use the copy. * * <p><b>Warning:</b> {@code predicate} must be <i>consistent with equals</i>, * as documented at {@link Predicate#apply}. Do not provide a predicate such as * {@code Predicates.instanceOf(ArrayList.class)}, which is inconsistent with * equals. (See {@link Iterables#filter(Iterable, Class)} for related * functionality.) * * @since 14.0 */ @GwtIncompatible // NavigableSet @SuppressWarnings("unchecked") public static <E> NavigableSet<E> filter( NavigableSet<E> unfiltered, Predicate<? super E> predicate) { if (unfiltered instanceof FilteredSet) { // Support clear(), removeAll(), and retainAll() when filtering a filtered // collection. FilteredSet<E> filtered = (FilteredSet<E>) unfiltered; Predicate<E> combinedPredicate = Predicates.<E>and(filtered.predicate, predicate); return new FilteredNavigableSet<E>((NavigableSet<E>) filtered.unfiltered, combinedPredicate); } return new FilteredNavigableSet<E>(checkNotNull(unfiltered), checkNotNull(predicate)); } @GwtIncompatible // NavigableSet private static class FilteredNavigableSet<E> extends FilteredSortedSet<E> implements NavigableSet<E> { FilteredNavigableSet(NavigableSet<E> unfiltered, Predicate<? super E> predicate) { super(unfiltered, predicate); } NavigableSet<E> unfiltered() { return (NavigableSet<E>) unfiltered; } @Override @Nullable public E lower(E e) { return Iterators.find(unfiltered().headSet(e, false).descendingIterator(), predicate, null); } @Override @Nullable public E floor(E e) { return Iterators.find(unfiltered().headSet(e, true).descendingIterator(), predicate, null); } @Override public E ceiling(E e) { return Iterables.find(unfiltered().tailSet(e, true), predicate, null); } @Override public E higher(E e) { return Iterables.find(unfiltered().tailSet(e, false), predicate, null); } @Override public E pollFirst() { return Iterables.removeFirstMatching(unfiltered(), predicate); } @Override public E pollLast() { return Iterables.removeFirstMatching(unfiltered().descendingSet(), predicate); } @Override public NavigableSet<E> descendingSet() { return Sets.filter(unfiltered().descendingSet(), predicate); } @Override public Iterator<E> descendingIterator() { return Iterators.filter(unfiltered().descendingIterator(), predicate); } @Override public E last() { return Iterators.find(unfiltered().descendingIterator(), predicate); } @Override public NavigableSet<E> subSet( E fromElement, boolean fromInclusive, E toElement, boolean toInclusive) { return filter( unfiltered().subSet(fromElement, fromInclusive, toElement, toInclusive), predicate); } @Override public NavigableSet<E> headSet(E toElement, boolean inclusive) { return filter(unfiltered().headSet(toElement, inclusive), predicate); } @Override public NavigableSet<E> tailSet(E fromElement, boolean inclusive) { return filter(unfiltered().tailSet(fromElement, inclusive), predicate); } } /** * Returns every possible list that can be formed by choosing one element * from each of the given sets in order; the "n-ary * <a href="http://en.wikipedia.org/wiki/Cartesian_product">Cartesian * product</a>" of the sets. For example: <pre> {@code * * Sets.cartesianProduct(ImmutableList.of( * ImmutableSet.of(1, 2), * ImmutableSet.of("A", "B", "C")))}</pre> * * <p>returns a set containing six lists: * * <ul> * <li>{@code ImmutableList.of(1, "A")} * <li>{@code ImmutableList.of(1, "B")} * <li>{@code ImmutableList.of(1, "C")} * <li>{@code ImmutableList.of(2, "A")} * <li>{@code ImmutableList.of(2, "B")} * <li>{@code ImmutableList.of(2, "C")} * </ul> * * <p>The result is guaranteed to be in the "traditional", lexicographical * order for Cartesian products that you would get from nesting for loops: * <pre> {@code * * for (B b0 : sets.get(0)) { * for (B b1 : sets.get(1)) { * ... * ImmutableList<B> tuple = ImmutableList.of(b0, b1, ...); * // operate on tuple * } * }}</pre> * * <p>Note that if any input set is empty, the Cartesian product will also be * empty. If no sets at all are provided (an empty list), the resulting * Cartesian product has one element, an empty list (counter-intuitive, but * mathematically consistent). * * <p><i>Performance notes:</i> while the cartesian product of sets of size * {@code m, n, p} is a set of size {@code m x n x p}, its actual memory * consumption is much smaller. When the cartesian set is constructed, the * input sets are merely copied. Only as the resulting set is iterated are the * individual lists created, and these are not retained after iteration. * * @param sets the sets to choose elements from, in the order that * the elements chosen from those sets should appear in the resulting * lists * @param <B> any common base class shared by all axes (often just {@link * Object}) * @return the Cartesian product, as an immutable set containing immutable * lists * @throws NullPointerException if {@code sets}, any one of the {@code sets}, * or any element of a provided set is null * @since 2.0 */ public static <B> Set<List<B>> cartesianProduct(List<? extends Set<? extends B>> sets) { return CartesianSet.create(sets); } /** * Returns every possible list that can be formed by choosing one element * from each of the given sets in order; the "n-ary * <a href="http://en.wikipedia.org/wiki/Cartesian_product">Cartesian * product</a>" of the sets. For example: <pre> {@code * * Sets.cartesianProduct( * ImmutableSet.of(1, 2), * ImmutableSet.of("A", "B", "C"))}</pre> * * <p>returns a set containing six lists: * * <ul> * <li>{@code ImmutableList.of(1, "A")} * <li>{@code ImmutableList.of(1, "B")} * <li>{@code ImmutableList.of(1, "C")} * <li>{@code ImmutableList.of(2, "A")} * <li>{@code ImmutableList.of(2, "B")} * <li>{@code ImmutableList.of(2, "C")} * </ul> * * <p>The result is guaranteed to be in the "traditional", lexicographical * order for Cartesian products that you would get from nesting for loops: * <pre> {@code * * for (B b0 : sets.get(0)) { * for (B b1 : sets.get(1)) { * ... * ImmutableList<B> tuple = ImmutableList.of(b0, b1, ...); * // operate on tuple * } * }}</pre> * * <p>Note that if any input set is empty, the Cartesian product will also be * empty. If no sets at all are provided (an empty list), the resulting * Cartesian product has one element, an empty list (counter-intuitive, but * mathematically consistent). * * <p><i>Performance notes:</i> while the cartesian product of sets of size * {@code m, n, p} is a set of size {@code m x n x p}, its actual memory * consumption is much smaller. When the cartesian set is constructed, the * input sets are merely copied. Only as the resulting set is iterated are the * individual lists created, and these are not retained after iteration. * * @param sets the sets to choose elements from, in the order that * the elements chosen from those sets should appear in the resulting * lists * @param <B> any common base class shared by all axes (often just {@link * Object}) * @return the Cartesian product, as an immutable set containing immutable * lists * @throws NullPointerException if {@code sets}, any one of the {@code sets}, * or any element of a provided set is null * @since 2.0 */ public static <B> Set<List<B>> cartesianProduct(Set<? extends B>... sets) { return cartesianProduct(Arrays.asList(sets)); } private static final class CartesianSet<E> extends ForwardingCollection<List<E>> implements Set<List<E>> { private final transient ImmutableList<ImmutableSet<E>> axes; private final transient CartesianList<E> delegate; static <E> Set<List<E>> create(List<? extends Set<? extends E>> sets) { ImmutableList.Builder<ImmutableSet<E>> axesBuilder = new ImmutableList.Builder<ImmutableSet<E>>(sets.size()); for (Set<? extends E> set : sets) { ImmutableSet<E> copy = ImmutableSet.copyOf(set); if (copy.isEmpty()) { return ImmutableSet.of(); } axesBuilder.add(copy); } final ImmutableList<ImmutableSet<E>> axes = axesBuilder.build(); ImmutableList<List<E>> listAxes = new ImmutableList<List<E>>() { @Override public int size() { return axes.size(); } @Override public List<E> get(int index) { return axes.get(index).asList(); } @Override boolean isPartialView() { return true; } }; return new CartesianSet<E>(axes, new CartesianList<E>(listAxes)); } private CartesianSet(ImmutableList<ImmutableSet<E>> axes, CartesianList<E> delegate) { this.axes = axes; this.delegate = delegate; } @Override protected Collection<List<E>> delegate() { return delegate; } @Override public boolean equals(@Nullable Object object) { // Warning: this is broken if size() == 0, so it is critical that we // substitute an empty ImmutableSet to the user in place of this if (object instanceof CartesianSet) { CartesianSet<?> that = (CartesianSet<?>) object; return this.axes.equals(that.axes); } return super.equals(object); } @Override public int hashCode() { // Warning: this is broken if size() == 0, so it is critical that we // substitute an empty ImmutableSet to the user in place of this // It's a weird formula, but tests prove it works. int adjust = size() - 1; for (int i = 0; i < axes.size(); i++) { adjust *= 31; adjust = ~~adjust; // in GWT, we have to deal with integer overflow carefully } int hash = 1; for (Set<E> axis : axes) { hash = 31 * hash + (size() / axis.size() * axis.hashCode()); hash = ~~hash; } hash += adjust; return ~~hash; } } /** * Returns the set of all possible subsets of {@code set}. For example, * {@code powerSet(ImmutableSet.of(1, 2))} returns the set {@code {{}, * {1}, {2}, {1, 2}}}. * * <p>Elements appear in these subsets in the same iteration order as they * appeared in the input set. The order in which these subsets appear in the * outer set is undefined. Note that the power set of the empty set is not the * empty set, but a one-element set containing the empty set. * * <p>The returned set and its constituent sets use {@code equals} to decide * whether two elements are identical, even if the input set uses a different * concept of equivalence. * * <p><i>Performance notes:</i> while the power set of a set with size {@code * n} is of size {@code 2^n}, its memory usage is only {@code O(n)}. When the * power set is constructed, the input set is merely copied. Only as the * power set is iterated are the individual subsets created, and these subsets * themselves occupy only a small constant amount of memory. * * @param set the set of elements to construct a power set from * @return the power set, as an immutable set of immutable sets * @throws IllegalArgumentException if {@code set} has more than 30 unique * elements (causing the power set size to exceed the {@code int} range) * @throws NullPointerException if {@code set} is or contains {@code null} * @see <a href="http://en.wikipedia.org/wiki/Power_set">Power set article at * Wikipedia</a> * @since 4.0 */ @GwtCompatible(serializable = false) public static <E> Set<Set<E>> powerSet(Set<E> set) { return new PowerSet<E>(set); } private static final class SubSet<E> extends AbstractSet<E> { private final ImmutableMap<E, Integer> inputSet; private final int mask; SubSet(ImmutableMap<E, Integer> inputSet, int mask) { this.inputSet = inputSet; this.mask = mask; } @Override public Iterator<E> iterator() { return new UnmodifiableIterator<E>() { final ImmutableList<E> elements = inputSet.keySet().asList(); int remainingSetBits = mask; @Override public boolean hasNext() { return remainingSetBits != 0; } @Override public E next() { int index = Integer.numberOfTrailingZeros(remainingSetBits); if (index == 32) { throw new NoSuchElementException(); } remainingSetBits &= ~(1 << index); return elements.get(index); } }; } @Override public int size() { return Integer.bitCount(mask); } @Override public boolean contains(@Nullable Object o) { Integer index = inputSet.get(o); return index != null && (mask & (1 << index)) != 0; } } private static final class PowerSet<E> extends AbstractSet<Set<E>> { final ImmutableMap<E, Integer> inputSet; PowerSet(Set<E> input) { this.inputSet = Maps.indexMap(input); checkArgument( inputSet.size() <= 30, "Too many elements to create power set: %s > 30", inputSet.size()); } @Override public int size() { return 1 << inputSet.size(); } @Override public boolean isEmpty() { return false; } @Override public Iterator<Set<E>> iterator() { return new AbstractIndexedListIterator<Set<E>>(size()) { @Override protected Set<E> get(final int setBits) { return new SubSet<E>(inputSet, setBits); } }; } @Override public boolean contains(@Nullable Object obj) { if (obj instanceof Set) { Set<?> set = (Set<?>) obj; return inputSet.keySet().containsAll(set); } return false; } @Override public boolean equals(@Nullable Object obj) { if (obj instanceof PowerSet) { PowerSet<?> that = (PowerSet<?>) obj; return inputSet.equals(that.inputSet); } return super.equals(obj); } @Override public int hashCode() { /* * The sum of the sums of the hash codes in each subset is just the sum of * each input element's hash code times the number of sets that element * appears in. Each element appears in exactly half of the 2^n sets, so: */ return inputSet.keySet().hashCode() << (inputSet.size() - 1); } @Override public String toString() { return "powerSet(" + inputSet + ")"; } } /** * Returns the set of all subsets of {@code set} of size {@code size}. For example, {@code * combinations(ImmutableSet.of(1, 2, 3), 2)} returns the set {@code {{1, 2}, {1, 3}, {2, 3}}}. * * <p>Elements appear in these subsets in the same iteration order as they appeared in the input * set. The order in which these subsets appear in the outer set is undefined. * * <p>The returned set and its constituent sets use {@code equals} to decide whether two elements * are identical, even if the input set uses a different concept of equivalence. * * <p><i>Performance notes:</i> the memory usage of the returned set is only {@code O(n)}. When * the result set is constructed, the input set is merely copied. Only as the result set is * iterated are the individual subsets created. Each of these subsets occupies an additional O(n) * memory but only for as long as the user retains a reference to it. That is, the set returned by * {@code combinations} does not retain the individual subsets. * * @param set the set of elements to take combinations of * @param size the number of elements per combination * @return the set of all combinations of {@code size} elements from {@code set} * @throws IllegalArgumentException if {@code size} is not between 0 and {@code set.size()} * inclusive * @throws NullPointerException if {@code set} is or contains {@code null} * @since 23.0 */ @Beta public static <E> Set<Set<E>> combinations(Set<E> set, final int size) { final ImmutableMap<E, Integer> index = Maps.indexMap(set); checkNonnegative(size, "size"); checkArgument(size <= index.size(), "size (%s) must be <= set.size() (%s)", size, index.size()); if (size == 0) { return ImmutableSet.<Set<E>>of(ImmutableSet.<E>of()); } else if (size == index.size()) { return ImmutableSet.<Set<E>>of(index.keySet()); } return new AbstractSet<Set<E>>() { @Override public boolean contains(@Nullable Object o) { if (o instanceof Set) { Set<?> s = (Set<?>) o; return s.size() == size && index.keySet().containsAll(s); } return false; } @Override public Iterator<Set<E>> iterator() { return new AbstractIterator<Set<E>>() { final BitSet bits = new BitSet(index.size()); @Override protected Set<E> computeNext() { if (bits.isEmpty()) { bits.set(0, size); } else { int firstSetBit = bits.nextSetBit(0); int bitToFlip = bits.nextClearBit(firstSetBit); if (bitToFlip == index.size()) { return endOfData(); } /* * The current set in sorted order looks like * {firstSetBit, firstSetBit + 1, ..., bitToFlip - 1, ...} * where it does *not* contain bitToFlip. * * The next combination is * * {0, 1, ..., bitToFlip - firstSetBit - 2, bitToFlip, ...} * * This is lexicographically next if you look at the combinations in descending order * e.g. {2, 1, 0}, {3, 1, 0}, {3, 2, 0}, {3, 2, 1}, {4, 1, 0}... */ bits.set(0, bitToFlip - firstSetBit - 1); bits.clear(bitToFlip - firstSetBit - 1, bitToFlip); bits.set(bitToFlip); } final BitSet copy = (BitSet) bits.clone(); return new AbstractSet<E>() { @Override public boolean contains(@Nullable Object o) { Integer i = index.get(o); return i != null && copy.get(i); } @Override public Iterator<E> iterator() { return new AbstractIterator<E>() { int i = -1; @Override protected E computeNext() { i = copy.nextSetBit(i + 1); if (i == -1) { return endOfData(); } return index.keySet().asList().get(i); } }; } @Override public int size() { return size; } }; } }; } @Override public int size() { return IntMath.binomial(index.size(), size); } @Override public String toString() { return "Sets.combinations(" + index.keySet() + ", " + size + ")"; } }; } /** * An implementation for {@link Set#hashCode()}. */ static int hashCodeImpl(Set<?> s) { int hashCode = 0; for (Object o : s) { hashCode += o != null ? o.hashCode() : 0; hashCode = ~~hashCode; // Needed to deal with unusual integer overflow in GWT. } return hashCode; } /** * An implementation for {@link Set#equals(Object)}. */ static boolean equalsImpl(Set<?> s, @Nullable Object object) { if (s == object) { return true; } if (object instanceof Set) { Set<?> o = (Set<?>) object; try { return s.size() == o.size() && s.containsAll(o); } catch (NullPointerException ignored) { return false; } catch (ClassCastException ignored) { return false; } } return false; } /** * Returns an unmodifiable view of the specified navigable set. This method * allows modules to provide users with "read-only" access to internal * navigable sets. Query operations on the returned set "read through" to the * specified set, and attempts to modify the returned set, whether direct or * via its collection views, result in an * {@code UnsupportedOperationException}. * * <p>The returned navigable set will be serializable if the specified * navigable set is serializable. * * @param set the navigable set for which an unmodifiable view is to be * returned * @return an unmodifiable view of the specified navigable set * @since 12.0 */ public static <E> NavigableSet<E> unmodifiableNavigableSet(NavigableSet<E> set) { if (set instanceof ImmutableSortedSet || set instanceof UnmodifiableNavigableSet) { return set; } return new UnmodifiableNavigableSet<E>(set); } static final class UnmodifiableNavigableSet<E> extends ForwardingSortedSet<E> implements NavigableSet<E>, Serializable { private final NavigableSet<E> delegate; UnmodifiableNavigableSet(NavigableSet<E> delegate) { this.delegate = checkNotNull(delegate); } @Override protected SortedSet<E> delegate() { return Collections.unmodifiableSortedSet(delegate); } @Override public E lower(E e) { return delegate.lower(e); } @Override public E floor(E e) { return delegate.floor(e); } @Override public E ceiling(E e) { return delegate.ceiling(e); } @Override public E higher(E e) { return delegate.higher(e); } @Override public E pollFirst() { throw new UnsupportedOperationException(); } @Override public E pollLast() { throw new UnsupportedOperationException(); } private transient UnmodifiableNavigableSet<E> descendingSet; @Override public NavigableSet<E> descendingSet() { UnmodifiableNavigableSet<E> result = descendingSet; if (result == null) { result = descendingSet = new UnmodifiableNavigableSet<E>(delegate.descendingSet()); result.descendingSet = this; } return result; } @Override public Iterator<E> descendingIterator() { return Iterators.unmodifiableIterator(delegate.descendingIterator()); } @Override public NavigableSet<E> subSet( E fromElement, boolean fromInclusive, E toElement, boolean toInclusive) { return unmodifiableNavigableSet( delegate.subSet(fromElement, fromInclusive, toElement, toInclusive)); } @Override public NavigableSet<E> headSet(E toElement, boolean inclusive) { return unmodifiableNavigableSet(delegate.headSet(toElement, inclusive)); } @Override public NavigableSet<E> tailSet(E fromElement, boolean inclusive) { return unmodifiableNavigableSet(delegate.tailSet(fromElement, inclusive)); } private static final long serialVersionUID = 0; } /** * Returns a synchronized (thread-safe) navigable set backed by the specified * navigable set. In order to guarantee serial access, it is critical that * <b>all</b> access to the backing navigable set is accomplished * through the returned navigable set (or its views). * * <p>It is imperative that the user manually synchronize on the returned * sorted set when iterating over it or any of its {@code descendingSet}, * {@code subSet}, {@code headSet}, or {@code tailSet} views. <pre> {@code * * NavigableSet<E> set = synchronizedNavigableSet(new TreeSet<E>()); * ... * synchronized (set) { * // Must be in the synchronized block * Iterator<E> it = set.iterator(); * while (it.hasNext()) { * foo(it.next()); * } * }}</pre> * * <p>or: <pre> {@code * * NavigableSet<E> set = synchronizedNavigableSet(new TreeSet<E>()); * NavigableSet<E> set2 = set.descendingSet().headSet(foo); * ... * synchronized (set) { // Note: set, not set2!!! * // Must be in the synchronized block * Iterator<E> it = set2.descendingIterator(); * while (it.hasNext()) * foo(it.next()); * } * }}</pre> * * <p>Failure to follow this advice may result in non-deterministic behavior. * * <p>The returned navigable set will be serializable if the specified * navigable set is serializable. * * @param navigableSet the navigable set to be "wrapped" in a synchronized * navigable set. * @return a synchronized view of the specified navigable set. * @since 13.0 */ @GwtIncompatible // NavigableSet public static <E> NavigableSet<E> synchronizedNavigableSet(NavigableSet<E> navigableSet) { return Synchronized.navigableSet(navigableSet); } /** * Remove each element in an iterable from a set. */ static boolean removeAllImpl(Set<?> set, Iterator<?> iterator) { boolean changed = false; while (iterator.hasNext()) { changed |= set.remove(iterator.next()); } return changed; } static boolean removeAllImpl(Set<?> set, Collection<?> collection) { checkNotNull(collection); // for GWT if (collection instanceof Multiset) { collection = ((Multiset<?>) collection).elementSet(); } /* * AbstractSet.removeAll(List) has quadratic behavior if the list size * is just less than the set's size. We augment the test by * assuming that sets have fast contains() performance, and other * collections don't. See * http://code.google.com/p/guava-libraries/issues/detail?id=1013 */ if (collection instanceof Set && collection.size() > set.size()) { return Iterators.removeAll(set.iterator(), collection); } else { return removeAllImpl(set, collection.iterator()); } } @GwtIncompatible // NavigableSet static class DescendingSet<E> extends ForwardingNavigableSet<E> { private final NavigableSet<E> forward; DescendingSet(NavigableSet<E> forward) { this.forward = forward; } @Override protected NavigableSet<E> delegate() { return forward; } @Override public E lower(E e) { return forward.higher(e); } @Override public E floor(E e) { return forward.ceiling(e); } @Override public E ceiling(E e) { return forward.floor(e); } @Override public E higher(E e) { return forward.lower(e); } @Override public E pollFirst() { return forward.pollLast(); } @Override public E pollLast() { return forward.pollFirst(); } @Override public NavigableSet<E> descendingSet() { return forward; } @Override public Iterator<E> descendingIterator() { return forward.iterator(); } @Override public NavigableSet<E> subSet( E fromElement, boolean fromInclusive, E toElement, boolean toInclusive) { return forward.subSet(toElement, toInclusive, fromElement, fromInclusive).descendingSet(); } @Override public NavigableSet<E> headSet(E toElement, boolean inclusive) { return forward.tailSet(toElement, inclusive).descendingSet(); } @Override public NavigableSet<E> tailSet(E fromElement, boolean inclusive) { return forward.headSet(fromElement, inclusive).descendingSet(); } @SuppressWarnings("unchecked") @Override public Comparator<? super E> comparator() { Comparator<? super E> forwardComparator = forward.comparator(); if (forwardComparator == null) { return (Comparator) Ordering.natural().reverse(); } else { return reverse(forwardComparator); } } // If we inline this, we get a javac error. private static <T> Ordering<T> reverse(Comparator<T> forward) { return Ordering.from(forward).reverse(); } @Override public E first() { return forward.last(); } @Override public SortedSet<E> headSet(E toElement) { return standardHeadSet(toElement); } @Override public E last() { return forward.first(); } @Override public SortedSet<E> subSet(E fromElement, E toElement) { return standardSubSet(fromElement, toElement); } @Override public SortedSet<E> tailSet(E fromElement) { return standardTailSet(fromElement); } @Override public Iterator<E> iterator() { return forward.descendingIterator(); } @Override public Object[] toArray() { return standardToArray(); } @Override public <T> T[] toArray(T[] array) { return standardToArray(array); } @Override public String toString() { return standardToString(); } } /** * Returns a view of the portion of {@code set} whose elements are contained by {@code range}. * * <p>This method delegates to the appropriate methods of {@link NavigableSet} (namely * {@link NavigableSet#subSet(Object, boolean, Object, boolean) subSet()}, * {@link NavigableSet#tailSet(Object, boolean) tailSet()}, and * {@link NavigableSet#headSet(Object, boolean) headSet()}) to actually construct the view. * Consult these methods for a full description of the returned view's behavior. * * <p><b>Warning:</b> {@code Range}s always represent a range of values using the values' natural * ordering. {@code NavigableSet} on the other hand can specify a custom ordering via a * {@link Comparator}, which can violate the natural ordering. Using this method (or in general * using {@code Range}) with unnaturally-ordered sets can lead to unexpected and undefined * behavior. * * @since 20.0 */ @Beta @GwtIncompatible // NavigableSet public static <K extends Comparable<? super K>> NavigableSet<K> subSet( NavigableSet<K> set, Range<K> range) { if (set.comparator() != null && set.comparator() != Ordering.natural() && range.hasLowerBound() && range.hasUpperBound()) { checkArgument( set.comparator().compare(range.lowerEndpoint(), range.upperEndpoint()) <= 0, "set is using a custom comparator which is inconsistent with the natural ordering."); } if (range.hasLowerBound() && range.hasUpperBound()) { return set.subSet( range.lowerEndpoint(), range.lowerBoundType() == BoundType.CLOSED, range.upperEndpoint(), range.upperBoundType() == BoundType.CLOSED); } else if (range.hasLowerBound()) { return set.tailSet(range.lowerEndpoint(), range.lowerBoundType() == BoundType.CLOSED); } else if (range.hasUpperBound()) { return set.headSet(range.upperEndpoint(), range.upperBoundType() == BoundType.CLOSED); } return checkNotNull(set); } }