/* * Copyright (c) 1999, 2013, Oracle and/or its affiliates. All rights reserved. * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. * * This code is free software; you can redistribute it and/or modify it * under the terms of the GNU General Public License version 2 only, as * published by the Free Software Foundation. Oracle designates this * particular file as subject to the "Classpath" exception as provided * by Oracle in the LICENSE file that accompanied this code. * * This code is distributed in the hope that it will be useful, but WITHOUT * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License * version 2 for more details (a copy is included in the LICENSE file that * accompanied this code). * * You should have received a copy of the GNU General Public License version * 2 along with this work; if not, write to the Free Software Foundation, * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA. * * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA * or visit www.oracle.com if you need additional information or have any * questions. */ package com.sun.tools.javac.util; /** <p><b>This is NOT part of any supported API. * If you write code that depends on this, you do so at your own risk. * This code and its internal interfaces are subject to change or * deletion without notice.</b> */ public class GraphUtils { /** * Basic interface for defining various dependency kinds. All dependency kinds * must at least support basic capabilities to tell the DOT engine how to render them. */ public interface DependencyKind { /** * Returns the DOT representation (to be used in a {@code style} attribute * that's most suited for this dependency kind. */ String getDotStyle(); } /** * This class is a basic abstract class for representing a node. * A node is associated with a given data. */ public static abstract class Node<D> { public final D data; public Node(D data) { this.data = data; } /** * Get an array of the dependency kinds supported by this node. */ public abstract DependencyKind[] getSupportedDependencyKinds(); /** * Get all dependencies, regardless of their kind. */ public abstract Iterable<? extends Node<D>> getAllDependencies(); /** * Get a name for the dependency (of given kind) linking this node to a given node */ public abstract String getDependencyName(Node<D> to, DependencyKind dk); @Override public String toString() { return data.toString(); } } /** * This class specialized Node, by adding elements that are required in order * to perform Tarjan computation of strongly connected components. */ public static abstract class TarjanNode<D> extends Node<D> implements Comparable<TarjanNode<D>> { int index = -1; int lowlink; boolean active; public TarjanNode(D data) { super(data); } public abstract Iterable<? extends TarjanNode<D>> getAllDependencies(); public abstract Iterable<? extends TarjanNode<D>> getDependenciesByKind(DependencyKind dk); public int compareTo(TarjanNode<D> o) { return (index < o.index) ? -1 : (index == o.index) ? 0 : 1; } } /** * Tarjan's algorithm to determine strongly connected components of a * directed graph in linear time. Works on TarjanNode. */ public static <D, N extends TarjanNode<D>> List<? extends List<? extends N>> tarjan(Iterable<? extends N> nodes) { Tarjan<D, N> tarjan = new Tarjan<>(); return tarjan.findSCC(nodes); } //where private static class Tarjan<D, N extends TarjanNode<D>> { /** Unique node identifier. */ int index = 0; /** List of SCCs found so far. */ ListBuffer<List<N>> sccs = new ListBuffer<>(); /** Stack of all reacheable nodes from given root. */ ListBuffer<N> stack = new ListBuffer<>(); private List<? extends List<? extends N>> findSCC(Iterable<? extends N> nodes) { for (N node : nodes) { if (node.index == -1) { findSCC(node); } } return sccs.toList(); } private void findSCC(N v) { visitNode(v); for (TarjanNode<D> tn : v.getAllDependencies()) { @SuppressWarnings("unchecked") N n = (N)tn; if (n.index == -1) { //it's the first time we see this node findSCC(n); v.lowlink = Math.min(v.lowlink, n.lowlink); } else if (stack.contains(n)) { //this node is already reachable from current root v.lowlink = Math.min(v.lowlink, n.index); } } if (v.lowlink == v.index) { //v is the root of a SCC addSCC(v); } } private void visitNode(N n) { n.index = index; n.lowlink = index; index++; stack.prepend(n); n.active = true; } private void addSCC(N v) { N n; ListBuffer<N> cycle = new ListBuffer<>(); do { n = stack.remove(); n.active = false; cycle.add(n); } while (n != v); sccs.add(cycle.toList()); } } /** * Debugging: dot representation of a set of connected nodes. The resulting * dot representation will use {@code Node.toString} to display node labels * and {@code Node.printDependency} to display edge labels. The resulting * representation is also customizable with a graph name and a header. */ public static <D> String toDot(Iterable<? extends TarjanNode<D>> nodes, String name, String header) { StringBuilder buf = new StringBuilder(); buf.append(String.format("digraph %s {\n", name)); buf.append(String.format("label = \"%s\";\n", header)); //dump nodes for (TarjanNode<D> n : nodes) { buf.append(String.format("%s [label = \"%s\"];\n", n.hashCode(), n.toString())); } //dump arcs for (TarjanNode<D> from : nodes) { for (DependencyKind dk : from.getSupportedDependencyKinds()) { for (TarjanNode<D> to : from.getDependenciesByKind(dk)) { buf.append(String.format("%s -> %s [label = \" %s \" style = %s ];\n", from.hashCode(), to.hashCode(), from.getDependencyName(to, dk), dk.getDotStyle())); } } } buf.append("}\n"); return buf.toString(); } }