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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.sat;
import static com.google.common.truth.Truth.assertThat;
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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;
import com.google.ortools.util.Domain;
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import org.junit.jupiter.api.BeforeEach;
import org.junit.jupiter.api.Test;
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public final class LinearExprTest {
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@BeforeEach
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public void setUp() {
Loader.loadNativeLibraries();
}
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@Test
public void testLinearExprAdd() {
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final CpModel model = new CpModel();
assertNotNull(model);
final Domain domain = new Domain(0, 10);
final IntVar y = model.newIntVarFromDomain(domain, "y");
final LinearExpr expr = LinearExpr.newBuilder().add(y).build();
assertNotNull(expr);
assertEquals(1, expr.numElements());
assertEquals(y.getIndex(), expr.getVariableIndex(0));
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assertEquals(1, expr.getCoefficient(0));
assertEquals(0, expr.getOffset());
}
@Test
public void testLinearExprAddLiteral() {
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final CpModel model = new CpModel();
assertNotNull(model);
final BoolVar y = model.newBoolVar("y");
final LinearExpr expr = LinearExpr.newBuilder().add(y).build();
assertNotNull(expr);
assertEquals(1, expr.numElements());
assertEquals(y.getIndex(), expr.getVariableIndex(0));
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assertEquals(1, expr.getCoefficient(0));
assertEquals(0, expr.getOffset());
}
@Test
public void testLinearExprAddNegatedLiteral() {
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final CpModel model = new CpModel();
assertNotNull(model);
final BoolVar y = model.newBoolVar("y");
final LinearExpr expr = LinearExpr.newBuilder().add(y.not()).build();
assertNotNull(expr);
assertEquals(1, expr.numElements());
assertEquals(y.getIndex(), expr.getVariableIndex(0));
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assertEquals(-1, expr.getCoefficient(0));
assertEquals(1, expr.getOffset());
}
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@Test
public void testLinearExprTerm() {
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final CpModel model = new CpModel();
assertNotNull(model);
final Domain domain = new Domain(0, 10);
final IntVar y = model.newIntVarFromDomain(domain, "y");
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final LinearExpr expr = LinearExpr.newBuilder().addTerm(y, 12).build();
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assertNotNull(expr);
assertEquals(1, expr.numElements());
assertEquals(y.getIndex(), expr.getVariableIndex(0));
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assertEquals(12, expr.getCoefficient(0));
assertEquals(0, expr.getOffset());
}
@Test
public void testLinearExprBooleanTerm() {
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final CpModel model = new CpModel();
assertNotNull(model);
final Literal y = model.newBoolVar("y");
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final LinearExpr expr = LinearExpr.newBuilder().addTerm(y.not(), 12).build();
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assertNotNull(expr);
assertThat(expr.numElements()).isEqualTo(1);
assertThat(expr.getVariableIndex(0)).isEqualTo(y.getIndex());
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assertThat(expr.getCoefficient(0)).isEqualTo(-12);
assertThat(expr.getOffset()).isEqualTo(12);
}
@Test
public void testLinearExprAffine() {
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final CpModel model = new CpModel();
assertNotNull(model);
final Domain domain = new Domain(0, 10);
final IntVar y = model.newIntVarFromDomain(domain, "y");
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final LinearExpr expr = LinearExpr.newBuilder().addTerm(y, 12).add(5).build();
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assertNotNull(expr);
assertThat(expr.numElements()).isEqualTo(1);
assertThat(expr.getVariableIndex(0)).isEqualTo(y.getIndex());
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assertThat(expr.getCoefficient(0)).isEqualTo(12);
assertThat(expr.getOffset()).isEqualTo(5);
}
@Test
public void testLinearExprBooleanAffine() {
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final CpModel model = new CpModel();
assertNotNull(model);
final Literal y = model.newBoolVar("y");
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final LinearExpr expr = LinearExpr.newBuilder().addTerm(y.not(), 12).add(5).build();
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assertNotNull(expr);
assertThat(expr.numElements()).isEqualTo(1);
assertThat(expr.getVariableIndex(0)).isEqualTo(y.getIndex());
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assertThat(expr.getCoefficient(0)).isEqualTo(-12);
assertThat(expr.getOffset()).isEqualTo(17);
}
@Test
public void testLinearExprSum() {
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final CpModel model = new CpModel();
assertNotNull(model);
final Domain domain = new Domain(0, 10);
final IntVar x = model.newIntVarFromDomain(domain, "x");
final IntVar y = model.newIntVarFromDomain(domain, "y");
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final LinearExpr expr = LinearExpr.newBuilder().add(x).add(y).build();
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assertNotNull(expr);
assertThat(expr.numElements()).isEqualTo(2);
assertThat(expr.getVariableIndex(0)).isEqualTo(x.getIndex());
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assertThat(expr.getCoefficient(0)).isEqualTo(1);
assertThat(expr.getVariableIndex(1)).isEqualTo(y.getIndex());
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assertThat(expr.getCoefficient(1)).isEqualTo(1);
assertThat(expr.getOffset()).isEqualTo(0);
}
@Test
public void testLinearExprWeightedSum() {
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final CpModel model = new CpModel();
assertNotNull(model);
final Domain domain = new Domain(0, 10);
final IntVar x = model.newIntVarFromDomain(domain, "x");
final IntVar y = model.newIntVarFromDomain(domain, "y");
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final LinearExpr expr = LinearExpr.newBuilder().addTerm(x, 3).addTerm(y, 5).build();
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assertNotNull(expr);
assertThat(expr.numElements()).isEqualTo(2);
assertThat(expr.getVariableIndex(0)).isEqualTo(x.getIndex());
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assertThat(expr.getCoefficient(0)).isEqualTo(3);
assertThat(expr.getVariableIndex(1)).isEqualTo(y.getIndex());
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assertThat(expr.getCoefficient(1)).isEqualTo(5);
assertThat(expr.getOffset()).isEqualTo(0);
}
@Test
public void testLinearExprBooleanSum() {
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final CpModel model = new CpModel();
assertNotNull(model);
final Literal x = model.newBoolVar("x");
final Literal y = model.newBoolVar("y");
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final LinearExpr expr = LinearExpr.newBuilder().add(x).add(y.not()).build();
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assertNotNull(expr);
assertThat(expr.numElements()).isEqualTo(2);
assertThat(expr.getVariableIndex(0)).isEqualTo(x.getIndex());
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assertThat(expr.getCoefficient(0)).isEqualTo(1);
assertThat(expr.getVariableIndex(1)).isEqualTo(y.getIndex());
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assertThat(expr.getCoefficient(1)).isEqualTo(-1);
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assertThat(expr.getOffset()).isEqualTo(1);
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}
@Test
public void testLinearExprBooleanWeightedSum() {
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final CpModel model = new CpModel();
assertNotNull(model);
final Literal x = model.newBoolVar("x");
final Literal y = model.newBoolVar("y");
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final LinearExpr expr = LinearExpr.newBuilder().addTerm(x, 3).addTerm(y.not(), 5).build();
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assertNotNull(expr);
assertThat(expr.numElements()).isEqualTo(2);
assertThat(expr.getVariableIndex(0)).isEqualTo(x.getIndex());
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assertThat(expr.getCoefficient(0)).isEqualTo(3);
assertThat(expr.getVariableIndex(1)).isEqualTo(y.getIndex());
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assertThat(expr.getCoefficient(1)).isEqualTo(-5);
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assertThat(expr.getOffset()).isEqualTo(5);
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}
}