// Copyright 2010-2025 Google LLC // 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.ortools.graph; import static org.junit.jupiter.api.Assertions.assertEquals; import static org.junit.jupiter.api.Assertions.assertNotNull; import com.google.ortools.Loader; import org.junit.jupiter.api.BeforeEach; import org.junit.jupiter.api.Test; /** Test the Min/Max Flow solver java interface. */ public final class FlowTest { @BeforeEach public void setUp() { Loader.loadNativeLibraries(); } @Test public void testMinCostFlow() { final int numSources = 4; final int numTargets = 4; final int[][] costs = { {90, 75, 75, 80}, {35, 85, 55, 65}, {125, 95, 90, 105}, {45, 110, 95, 115}}; final int expectedCost = 275; final MinCostFlow minCostFlow = new MinCostFlow(); assertNotNull(minCostFlow); for (int source = 0; source < numSources; ++source) { for (int target = 0; target < numTargets; ++target) { minCostFlow.addArcWithCapacityAndUnitCost( source, numSources + target, 1, costs[source][target]); } } for (int source = 0; source < numSources; ++source) { minCostFlow.setNodeSupply(source, 1); } for (int target = 0; target < numTargets; ++target) { minCostFlow.setNodeSupply(numSources + target, -1); } final MinCostFlowBase.Status solveStatus = minCostFlow.solve(); assertEquals(solveStatus, MinCostFlow.Status.OPTIMAL); final long totalFlowCost = minCostFlow.getOptimalCost(); assertEquals(expectedCost, totalFlowCost); } @Test public void testMaxFlow() { final int numNodes = 6; final int numArcs = 9; final int[] tails = {0, 0, 0, 0, 1, 2, 3, 3, 4}; final int[] heads = {1, 2, 3, 4, 3, 4, 4, 5, 5}; final int[] capacities = {5, 8, 2, 0, 4, 5, 6, 0, 4}; final int[] expectedFlows = {4, 4, 2, 0, 4, 4, 0, 6, 4}; final int expectedTotalFlow = 10; final MaxFlow maxFlow = new MaxFlow(); assertNotNull(maxFlow); for (int i = 0; i < numArcs; ++i) { maxFlow.addArcWithCapacity(tails[i], heads[i], capacities[i]); } maxFlow.setArcCapacity(7, 6); final MaxFlow.Status solveStatus = maxFlow.solve(/*source=*/0, /*sink=*/numNodes - 1); assertEquals(solveStatus, MaxFlow.Status.OPTIMAL); final long totalFlow = maxFlow.getOptimalFlow(); assertEquals(expectedTotalFlow, totalFlow); for (int i = 0; i < numArcs; ++i) { assertEquals(maxFlow.getFlow(i), expectedFlows[i]); } } }