mjsax commented on code in PR #13996:
URL: https://github.com/apache/kafka/pull/13996#discussion_r1271148006


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streams/src/test/java/org/apache/kafka/streams/processor/internals/assignment/GraphTest.java:
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@@ -0,0 +1,414 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You 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 org.apache.kafka.streams.processor.internals.assignment;
+
+import static org.hamcrest.MatcherAssert.assertThat;
+import static org.hamcrest.Matchers.contains;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertFalse;
+import static org.junit.jupiter.api.Assertions.assertNull;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+import java.util.ArrayList;
+import java.util.Collections;
+import java.util.List;
+import java.util.Map;
+import java.util.Set;
+import org.junit.Before;
+import org.junit.Test;
+
+public class GraphTest {
+    private Graph<Integer> graph;
+
+    @Before
+    public void setUp() {
+        /*
+         * Node 0 and 2 are both connected to node 1 and 3. There's a flow of 
1 unit from 0 to 1 and 2 to
+         * 3. The total cost in this case is 5. Min cost should be 2 by 
flowing 1 unit from 0 to 3 and 2
+         * to 1
+         */
+        graph = new Graph<>();
+        graph.addEdge(0, 1, 1, 3, 1);
+        graph.addEdge(0, 3, 1, 1, 0);
+        graph.addEdge(2, 1, 1, 1, 0);
+        graph.addEdge(2, 3, 1, 2, 1);
+        graph.addEdge(4, 0, 1, 0, 1);
+        graph.addEdge(4, 2, 1, 0, 1);
+        graph.addEdge(1, 5, 1, 0, 1);
+        graph.addEdge(3, 5, 1, 0, 1);
+        graph.setSourceNode(4);
+        graph.setSinkNode(5);
+    }
+
+    @Test
+    public void testBasic() {
+        final Set<Integer> nodes = graph.nodes();
+        assertEquals(6, nodes.size());
+        assertThat(nodes, contains(0, 1, 2, 3, 4, 5));
+
+        Map<Integer, Graph<Integer>.Edge> edges = graph.edges(0);
+        assertEquals(2, edges.size());
+        assertEquals(getEdge(1, 1, 3, 0, 1), edges.get(1));
+        assertEquals(getEdge(3, 1, 1, 1, 0), edges.get(3));
+
+        edges = graph.edges(2);
+        assertEquals(2, edges.size());
+        assertEquals(getEdge(1, 1, 1, 1, 0), edges.get(1));
+        assertEquals(getEdge(3, 1, 2, 0, 1), edges.get(3));
+
+        edges = graph.edges(1);
+        assertEquals(1, edges.size());
+        assertEquals(getEdge(5, 1, 0, 0, 1), edges.get(5));
+
+        edges = graph.edges(3);
+        assertEquals(1, edges.size());
+        assertEquals(getEdge(5, 1, 0, 0, 1), edges.get(5));
+
+        edges = graph.edges(4);
+        assertEquals(2, edges.size());
+        assertEquals(getEdge(0, 1, 0, 0, 1), edges.get(0));
+        assertEquals(getEdge(2, 1, 0, 0, 1), edges.get(2));
+
+        edges = graph.edges(5);
+        assertNull(edges);
+
+        assertFalse(graph.isResidualGraph());
+    }
+
+    @Test
+    public void testResidualGraph() {
+        final Graph<Integer> residualGraph = graph.residualGraph();
+        final Graph<Integer> residualGraph1 = residualGraph.residualGraph();
+        assertSame(residualGraph1, residualGraph);
+
+        final Set<Integer> nodes = residualGraph.nodes();
+        assertEquals(6, nodes.size());
+        assertThat(nodes, contains(0, 1, 2, 3, 4, 5));
+
+        Map<Integer, Graph<Integer>.Edge> edges = residualGraph.edges(0);
+        assertEquals(3, edges.size());
+        assertEquals(getEdge(1, 1, 3, 0, 1), edges.get(1));
+        assertEquals(getEdge(3, 1, 1, 1, 0), edges.get(3));
+        assertEquals(getEdge(4, 1, 0, 1, 0, false), edges.get(4));
+
+        edges = residualGraph.edges(2);
+        assertEquals(3, edges.size());
+        assertEquals(getEdge(1, 1, 1, 1, 0), edges.get(1));
+        assertEquals(getEdge(3, 1, 2, 0, 1), edges.get(3));
+        assertEquals(getEdge(4, 1, 0, 1, 0, false), edges.get(4));
+
+        edges = residualGraph.edges(1);
+        assertEquals(3, edges.size());
+        assertEquals(getEdge(0, 1, -3, 1, 0, false), edges.get(0));
+        assertEquals(getEdge(2, 1, -1, 0, 0, false), edges.get(2));
+        assertEquals(getEdge(5, 1, 0, 0, 1), edges.get(5));
+
+        edges = residualGraph.edges(3);
+        assertEquals(3, edges.size());
+        assertEquals(getEdge(0, 1, -1, 0, 0, false), edges.get(0));
+        assertEquals(getEdge(2, 1, -2, 1, 0, false), edges.get(2));
+        assertEquals(getEdge(5, 1, 0, 0, 1), edges.get(5));
+
+        assertTrue(residualGraph.isResidualGraph());
+    }
+
+    @Test
+    public void testInvalidOperation() {
+        final Graph<Integer> graph1 = new Graph<>();
+        Exception exception = assertThrows(IllegalArgumentException.class, () 
-> graph1.addEdge(0, 1, -1, 0, 0));
+        assertEquals("Edge capacity cannot be negative", 
exception.getMessage());
+
+        exception = assertThrows(IllegalArgumentException.class, () -> 
graph1.addEdge(0, 1, 1, 0, 2));
+        assertEquals("Edge flow 2 cannot exceed capacity 1", 
exception.getMessage());
+
+        graph1.addEdge(0, 1, 1, 1, 1);
+        exception = assertThrows(IllegalArgumentException.class, () -> 
graph1.addEdge(1, 0, 1, 0, 0));
+        assertEquals("There is already an edge from 0 to 1. Can not add an 
edge from 1 to 0 since "
+            + "there will create a cycle between two nodes", 
exception.getMessage());
+
+        final Graph<Integer> residualGraph = graph1.residualGraph();
+        exception = assertThrows(IllegalStateException.class, 
residualGraph::solveMinCostFlow);
+        assertEquals("Should not be residual graph to solve min cost flow", 
exception.getMessage());
+
+    }
+
+    @Test
+    public void testInvalidSource() {
+        final Graph<Integer> graph1 = new Graph<>();
+        graph1.addEdge(0, 1, 1, 1, 0);
+        graph1.addEdge(1, 2, 1, 1, 0);
+        graph1.setSourceNode(1);
+        graph1.setSinkNode(2);
+        final Exception exception = assertThrows(IllegalStateException.class, 
graph1::solveMinCostFlow);
+        assertEquals("Source node 1 shouldn't have input 0", 
exception.getMessage());
+    }
+
+    @Test
+    public void testInvalidSink() {
+        final Graph<Integer> graph1 = new Graph<>();
+        graph1.addEdge(0, 1, 1, 1, 0);
+        graph1.addEdge(1, 2, 1, 1, 0);
+        graph1.setSourceNode(0);
+        graph1.setSinkNode(1);
+        final Exception exception = assertThrows(IllegalStateException.class, 
graph1::solveMinCostFlow);
+        assertEquals("Sink node 1 shouldn't have output", 
exception.getMessage());
+    }
+
+    @Test
+    public void testInvalidFlow() {
+        final Graph<Integer> graph1 = new Graph<>();
+        graph1.addEdge(0, 1, 1, 1, 1);
+        graph1.addEdge(0, 2, 2, 1, 2);
+        graph1.addEdge(1, 3, 1, 1, 1);
+        graph1.addEdge(2, 3, 2, 1, 0); // Missing flow from 2 to 3
+        graph1.setSourceNode(0);
+        graph1.setSinkNode(3);
+        final Exception exception = assertThrows(IllegalStateException.class, 
graph1::solveMinCostFlow);
+        assertEquals("Input flow for node 2 is 2 which doesn't match output 
flow 0", exception.getMessage());
+    }
+
+    @Test
+    public void testMissingSource() {
+        final Graph<Integer> graph1 = new Graph<>();
+        graph1.addEdge(0, 1, 1, 1, 1);
+        graph1.addEdge(0, 2, 2, 1, 2);
+        graph1.addEdge(1, 3, 1, 1, 1);
+        graph1.addEdge(2, 3, 2, 1, 2);
+        graph1.setSinkNode(3);
+        final Exception exception = assertThrows(IllegalStateException.class, 
graph1::solveMinCostFlow);
+        assertEquals("Output flow for source null is null which doesn't match 
input flow 3 for sink 3",
+            exception.getMessage());
+    }
+
+    @Test
+    public void testDisconnectedGraph() {
+        final Graph<Integer> graph1 = new Graph<>();
+        graph1.addEdge(0, 1, 1, 1, 1);
+        graph1.addEdge(2, 3, 2, 1, 2);
+        graph1.setSourceNode(0);
+        graph1.setSinkNode(1);
+        final Exception exception = assertThrows(IllegalStateException.class, 
graph1::solveMinCostFlow);
+        assertEquals("Input flow for node 3 is 2 which doesn't match output 
flow null",
+            exception.getMessage());
+    }
+
+    @Test
+    public void testDisconnectedGraphCrossSourceSink() {
+        final Graph<Integer> graph1 = new Graph<>();
+        graph1.addEdge(0, 1, 1, 1, 1);
+        graph1.addEdge(2, 3, 2, 1, 2);
+        graph1.setSourceNode(0);
+        graph1.setSinkNode(3);
+        final Exception exception = assertThrows(IllegalStateException.class, 
graph1::solveMinCostFlow);
+        assertEquals("Input flow for node 1 is 1 which doesn't match output 
flow null",
+            exception.getMessage());
+    }
+
+    @Test
+    public void testJustSourceSink() {
+        final Graph<Integer> graph1 = new Graph<>();
+        graph1.addEdge(0, 1, 1, 1, 1);
+        graph1.setSourceNode(0);
+        graph1.setSinkNode(1);
+        graph1.solveMinCostFlow();
+        assertEquals(1, graph1.totalCost());
+    }
+
+    @Test
+    public void testMinCostFlow() {
+        // Original graph, flow from 0 to 1 and 2 to 3
+        Map<Integer, Graph<Integer>.Edge> edges = graph.edges(0);
+        Graph<Integer>.Edge edge = edges.get(1);
+        assertEquals(1, edge.flow);
+        assertEquals(0, edge.residualFlow);
+
+        edge = edges.get(3);
+        assertEquals(0, edge.flow);
+        assertEquals(1, edge.residualFlow);
+
+        edges = graph.edges(2);
+        edge = edges.get(3);
+        assertEquals(1, edge.flow);
+        assertEquals(0, edge.residualFlow);
+
+        edge = edges.get(1);
+        assertEquals(0, edge.flow);
+        assertEquals(1, edge.residualFlow);
+
+        assertEquals(5, graph.totalCost());
+
+        graph.solveMinCostFlow();
+
+        assertEquals(2, graph.totalCost());
+
+        edges = graph.edges(0);
+        assertEquals(2, edges.size());
+
+        // No flow from 0 to 1
+        edge = edges.get(1);
+        assertEquals(0, edge.flow);
+        assertEquals(1, edge.residualFlow);
+
+        // Flow from 0 to 3 now
+        edge = edges.get(3);
+        assertEquals(1, edge.flow);
+        assertEquals(0, edge.residualFlow);
+
+        edges = graph.edges(2);
+        assertEquals(2, edges.size());
+
+        // No flow from 2 to 3
+        edge = edges.get(3);
+        assertEquals(0, edge.flow);
+        assertEquals(1, edge.residualFlow);
+
+        // Flow from 2 to 1 now
+        edge = edges.get(1);
+        assertEquals(1, edge.flow);
+        assertEquals(0, edge.residualFlow);
+    }
+
+    @Test
+    public void testMinCostDetectNodeNotInNegativeCycle() {
+        final Graph<Integer> graph1 = new Graph<>();
+
+        graph1.addEdge(5, 0, 1, 0, 1);
+        graph1.addEdge(5, 1, 1, 0, 1);
+
+        graph1.addEdge(0, 2, 1, 1, 0);
+        graph1.addEdge(0, 3, 1, 1, 0);
+        graph1.addEdge(0, 4, 1, 10, 1);
+
+        graph1.addEdge(1, 2, 1, 1, 0);
+        graph1.addEdge(1, 3, 1, 10, 1);
+        graph1.addEdge(1, 4, 1, 1, 0);
+
+        graph1.addEdge(2, 6, 0, 0, 0);
+        graph1.addEdge(3, 6, 1, 0, 1);
+        graph1.addEdge(4, 6, 1, 0, 1);
+
+        graph1.setSourceNode(5);
+        graph1.setSinkNode(6);
+
+        assertEquals(20, graph1.totalCost());
+
+        // In this graph, the node we found for negative cycle is 2. However 2 
isn't in the negative
+        // cycle itself. Negative cycle is 1 -> 4 -> 0 -> 3 -> 1
+        graph1.solveMinCostFlow();
+        assertEquals(2, graph1.totalCost());
+
+        Map<Integer, Graph<Integer>.Edge> edges = graph1.edges(5);
+        assertEquals(getEdge(0, 1, 0, 0, 1), edges.get(0));
+        assertEquals(getEdge(1, 1, 0, 0, 1), edges.get(1));
+
+        edges = graph1.edges(0);
+        assertEquals(getEdge(2, 1, 1, 1, 0), edges.get(2));
+        assertEquals(getEdge(3, 1, 1, 0, 1), edges.get(3));
+        assertEquals(getEdge(4, 1, 10, 1, 0), edges.get(4));
+
+        edges = graph1.edges(1);
+        assertEquals(getEdge(2, 1, 1, 1, 0), edges.get(2));
+        assertEquals(getEdge(3, 1, 10, 1, 0), edges.get(3));
+        assertEquals(getEdge(4, 1, 1, 0, 1), edges.get(4));
+
+        edges = graph1.edges(2);
+        assertEquals(getEdge(6, 0, 0, 0, 0), edges.get(6));
+
+        edges = graph1.edges(3);
+        assertEquals(getEdge(6, 1, 0, 0, 1), edges.get(6));
+
+        edges = graph1.edges(4);
+        assertEquals(getEdge(6, 1, 0, 0, 1), edges.get(6));
+    }
+
+    @Test
+    public void testDeterministic() {
+        final List<TestEdge> edgeList = new ArrayList<>();
+        edgeList.add(new TestEdge(0, 1, 1, 2, 1));
+        edgeList.add(new TestEdge(0, 2, 1, 1, 0));
+        edgeList.add(new TestEdge(0, 3, 1, 1, 0));
+        edgeList.add(new TestEdge(0, 4, 1, 1, 0));
+        edgeList.add(new TestEdge(1, 5, 1, 1, 1));
+        edgeList.add(new TestEdge(2, 5, 1, 1, 0));
+        edgeList.add(new TestEdge(3, 5, 1, 1, 0));
+        edgeList.add(new TestEdge(4, 5, 1, 1, 0));
+
+        // Test no matter the order of adding edges, min cost flow flows from 
0 to 2 and then from 2 to 5
+        for (int i = 0; i < 10; i++) {

Review Comment:
   Test should run fast. Don't feel strongly about it.



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