com.google.javascript.jscomp.graph.StandardUnionFind Maven / Gradle / Ivy
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/*
* Copyright 2008 The Closure Compiler 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.javascript.jscomp.graph;
import static com.google.common.base.Preconditions.checkArgument;
import static com.google.common.collect.Iterators.filter;
import static com.google.common.collect.Multimaps.asMap;
import com.google.common.annotations.GwtCompatible;
import com.google.common.base.Objects;
import com.google.common.base.Predicate;
import com.google.common.collect.ImmutableList;
import com.google.common.collect.ImmutableSet;
import com.google.common.collect.MultimapBuilder;
import com.google.common.collect.SetMultimap;
import com.google.errorprone.annotations.CanIgnoreReturnValue;
import java.io.Serializable;
import java.util.AbstractSet;
import java.util.Collections;
import java.util.Iterator;
import java.util.LinkedHashMap;
import java.util.Map;
import java.util.Set;
import javax.annotation.Nullable;
/**
* A Union-Find implementation.
*
* This class implements Union-Find algorithm with rank and path
* compression.
*
*
See
* algorithmist for more detail.
*
* @param element type
*/
@GwtCompatible
public class StandardUnionFind implements Serializable, UnionFind {
/** All values with the same root node are in the same equivalence set. */
private final Map> elmap = new LinkedHashMap<>();
/** Creates an empty UnionFind structure. */
public StandardUnionFind() {
}
/**
* Creates an UnionFind structure being a copy of other structure.
* The created structure is optimal in a sense that the paths to
* the root from any element will have a length of at most 1.
*
* @param other structure to be copied
*/
public StandardUnionFind(UnionFind other) {
for (E elem : other.elements()) {
union(other.find(elem), elem);
}
}
@Override
public void add(@Nullable E e) {
union(e, e);
}
@CanIgnoreReturnValue
@Override
public E union(@Nullable E a, @Nullable E b) {
Node nodeA = findRootOrCreateNode(a);
Node nodeB = findRootOrCreateNode(b);
if (nodeA == nodeB) {
return nodeA.element;
}
// If possible, prefer nodeA over nodeB, to preserve insertion order.
if (nodeA.rank >= nodeB.rank) {
nodeB.parent = nodeA;
nodeA.size += nodeB.size;
if (nodeA.rank == nodeB.rank) {
nodeA.rank++;
}
return nodeA.element;
}
nodeA.parent = nodeB;
nodeB.size += nodeA.size;
E temp = nodeB.element;
nodeB.element = nodeA.element;
nodeA.element = temp;
return nodeB.element;
}
@Override
public E find(@Nullable E e) {
checkArgument(elmap.containsKey(e), "Element does not exist: %s", e);
return findRoot(elmap.get(e)).element;
}
@Override
public boolean areEquivalent(@Nullable E a, @Nullable E b) {
E aRep = find(a);
E bRep = find(b);
return aRep == bRep;
}
@Override
public Set elements() {
return Collections.unmodifiableSet(elmap.keySet());
}
@Override
public ImmutableList> allEquivalenceClasses() {
SetMultimap, E> groupsTmp =
MultimapBuilder.linkedHashKeys().linkedHashSetValues().build();
for (Node elem : elmap.values()) {
groupsTmp.put(findRoot(elem), elem.element);
}
ImmutableList.Builder> result = ImmutableList.builder();
for (Set group : asMap(groupsTmp).values()) {
result.add(ImmutableSet.copyOf(group));
}
return result.build();
}
/**
* If e is already in a non-trivial equivalence class, that is, a class with
* more than two elements, then return the {@link Node} corresponding to the
* representative element. Otherwise, if e sits in an equivalence class by
* itself, then create a {@link Node}, put it into elmap and return it.
*/
private Node findRootOrCreateNode(E e) {
Node node = elmap.get(e);
if (node != null) {
return findRoot(node);
}
node = new Node(e);
elmap.put(e, node);
return node;
}
/**
* Given a {@link Node}, walk the parent field as far as possible, until
* reaching the root, which is the {@link Node} for the current
* representative of this equivalence class. To achieve low runtime
* complexity, also compress the path, by making each node a direct child of
* the root.
*/
private Node findRoot(Node node) {
if (node.parent != node) {
node.parent = findRoot(node.parent);
}
return node.parent;
}
@Override
public Set findAll(@Nullable final E value) {
checkArgument(elmap.containsKey(value), "Element does not exist: %s", value);
final Predicate