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package org.graalvm.compiler.graph;
Union-find data structure for Nodes
. All operations have an accumulated worst-case complexity of O(a(n)), where a(n) is the inverse of the Ackermann function A(n,n). /**
* Union-find data structure for {@link Node Nodes}.
*
* All operations have an accumulated worst-case complexity of O(a(n)), where a(n) is the inverse of
* the Ackermann function A(n,n).
*/
public class NodeUnionFind extends NodeIdAccessor {
private int[] rank;
private int[] parent;
Create a new union-find data structure for a Graph
. Initially, all nodes are in their own equivalence set. /**
* Create a new union-find data structure for a {@link Graph}. Initially, all nodes are in their
* own equivalence set.
*/
public NodeUnionFind(Graph graph) {
super(graph);
rank = new int[graph.nodeIdCount()];
parent = new int[graph.nodeIdCount()];
for (int i = 0; i < parent.length; i++) {
parent[i] = i;
}
}
Merge the equivalence sets of two nodes.
After calling this function, find(a) == find(b).
/**
* Merge the equivalence sets of two nodes.
*
* After calling this function, find(a) == find(b).
*/
public void union(Node a, Node b) {
union(getNodeId(a), getNodeId(b));
}
Get a representative element of the equivalence set of a node.
This function returns the same representative element for all members of the same equivalence
set, i.e., find(a) == find(b) if and only if a and b are in the same set.
/**
* Get a representative element of the equivalence set of a node.
*
* This function returns the same representative element for all members of the same equivalence
* set, i.e., find(a) == find(b) if and only if a and b are in the same set.
*/
public Node find(Node a) {
int id = find(getNodeId(a));
return graph.getNode(id);
}
public boolean equiv(Node a, Node b) {
return find(getNodeId(a)) == find(getNodeId(b));
}
private void union(int a, int b) {
int aRoot = find(a);
int bRoot = find(b);
if (aRoot != bRoot) {
if (rank[aRoot] < rank[bRoot]) {
parent[aRoot] = bRoot;
} else {
parent[bRoot] = aRoot;
if (rank[aRoot] == rank[bRoot]) {
rank[aRoot]++;
}
}
}
}
private int find(int a) {
int ret = a;
while (ret != parent[ret]) {
parent[ret] = parent[parent[ret]];
ret = parent[ret];
}
return ret;
}
}