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+// Copyright 2014 Google Inc. All rights reserved.
+//
+// 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.devtools.build.lib.graph;
+
+import java.util.ArrayList;
+import java.util.HashMap;
+import java.util.List;
+import java.util.Map;
+import java.util.Set;
+
+/**
+ * <p>A simple and inefficient directed graph with the adjacency
+ * relation represented as a 2-D bit-matrix. </p>
+ *
+ * <p> Used as an adjunct to Digraph for performing certain algorithms
+ * which are more naturally implemented on this representation,
+ * e.g. transitive closure and reduction. </p>
+ *
+ * <p> Not many operations are supported. </p>
+ */
+final class Matrix<T> {
+
+ /**
+ * Constructs a square bit-matrix, initially empty, with the ith row/column
+ * corresponding to the ith element of 'labels', in iteration order.
+ *
+ * Does not retain a references to 'labels'.
+ */
+ public Matrix(Set<T> labels) {
+ this.N = labels.size();
+ this.values = new ArrayList<T>(N);
+ this.indices = new HashMap<T, Integer>();
+ this.m = new boolean[N][N];
+
+ for (T label: labels) {
+ int idx = values.size();
+ values.add(label);
+ indices.put(label, idx);
+ }
+ }
+
+ /**
+ * Constructs a matrix from the set of logical values specified. There is
+ * one row/column for each node in the graph, and the entry matrix[i,j] is
+ * set iff there is an edge in 'graph' from the node labelled values[i] to
+ * the node labelled values[j].
+ */
+ public Matrix(Digraph<T> graph) {
+ this(graph.getLabels());
+
+ for (Node<T> nfrom: graph.getNodes()) {
+ Integer ifrom = indices.get(nfrom.getLabel());
+ for (Node<T> nto: nfrom.getSuccessors()) {
+ Integer ito = indices.get(nto.getLabel());
+ m[ifrom][ito] = true;
+ }
+ }
+ }
+
+ /**
+ * The size of one side of the matrix.
+ */
+ private final int N;
+
+ /**
+ * The logical values associated with each row/column.
+ */
+ private final List<T> values;
+
+ /**
+ * The mapping from logical values to row/column index.
+ */
+ private final Map<T, Integer> indices;
+
+ /**
+ * The bit-matrix itself.
+ * m[from][to] indicates an edge from-->to.
+ */
+ private final boolean[][] m;
+
+ @Override
+ public String toString() {
+ StringBuilder sb = new StringBuilder();
+ for (int ii = 0; ii < N; ++ii) {
+ for (int jj = 0; jj < N; ++jj) {
+ sb.append(m[ii][jj] ? '1' : '0');
+ }
+ sb.append(' ').append(values.get(ii)).append('\n');
+ }
+ return sb.toString();
+ }
+
+}