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// Copyright 2010-2025 Google LLC
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// 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;
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import static org.junit.jupiter.api.Assertions.assertEquals;
import static org.junit.jupiter.api.Assertions.assertNotNull;
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import com.google.ortools.Loader;
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import org.junit.jupiter.api.BeforeEach;
import org.junit.jupiter.api.Test;
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/** Test the Min/Max Flow solver java interface. */
public final class FlowTest {
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@BeforeEach
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public void setUp() {
Loader.loadNativeLibraries();
}
@Test
public void testMinCostFlow() {
final int numSources = 4;
final int numTargets = 4;
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final int[][] costs = {
{90, 75, 75, 80}, {35, 85, 55, 65}, {125, 95, 90, 105}, {45, 110, 95, 115}};
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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]);
}
}
}