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// Copyright 2010-2021 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.sat;
import static com.google.common.truth.Truth.assertThat;
import static org.junit.jupiter.api.Assertions.assertNotNull;
import com.google.ortools.Loader;
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import com.google.ortools.sat.LinearArgumentProto;
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import com.google.ortools.util.Domain;
import org.junit.jupiter.api.BeforeEach;
import org.junit.jupiter.api.Test;
/** Tests the CpSolver java interface. */
public final class CpModelTest {
@BeforeEach
public void setUp() {
Loader.loadNativeLibraries();
}
@Test
public void testCpModel_newIntVar() throws Exception {
final CpModel model = new CpModel();
assertNotNull(model);
final IntVar x = model.newIntVar(0, 10, "x");
final IntVar y = model.newIntVarFromDomain(Domain.fromValues(new long[] {0, 1, 2, 5}), "y");
final IntVar z =
model.newIntVarFromDomain(Domain.fromIntervals(new long[][] {{0, 2}, {5}}), "");
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final BoolVar t = model.newBoolVar("t");
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final IntVar u = model.newConstant(5);
assertThat(x.getName()).isEqualTo("x");
assertThat(y.getName()).isEqualTo("y");
assertThat(z.getName()).isEmpty();
assertThat(t.getName()).isEqualTo("t");
assertThat(u.getName()).isEmpty();
assertThat(x.getDomain().flattenedIntervals()).isEqualTo(new long[] {0, 10});
assertThat(x.getShortString()).isEqualTo("x(0..10)");
assertThat(y.getShortString()).isEqualTo("y(0..2, 5)");
assertThat(z.getShortString()).isEqualTo("var_2(0..2, 5)");
assertThat(t.getShortString()).isEqualTo("t(0..1)");
assertThat(u.getShortString()).isEqualTo("5");
}
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@Test
public void testCpModel_newIntervalVar() throws Exception {
final CpModel model = new CpModel();
assertNotNull(model);
final int horizon = 100;
final IntVar startVar = model.newIntVar(0, horizon, "start");
final int duration = 10;
final IntervalVar interval = model.newFixedSizeIntervalVar(startVar, duration, "interval");
final LinearExpr startExpr = interval.getStartExpr();
assertThat(startExpr.numElements()).isEqualTo(1);
assertThat(startExpr.getOffset()).isEqualTo(0);
assertThat(startExpr.getVariable(0).getIndex()).isEqualTo(startVar.getIndex());
assertThat(startExpr.getCoefficient(0)).isEqualTo(1);
final LinearExpr sizeExpr = interval.getSizeExpr();
assertThat(sizeExpr.numElements()).isEqualTo(0);
assertThat(sizeExpr.getOffset()).isEqualTo(duration);
final LinearExpr endExpr = interval.getEndExpr();
assertThat(endExpr.numElements()).isEqualTo(1);
assertThat(endExpr.getOffset()).isEqualTo(duration);
assertThat(endExpr.getVariable(0).getIndex()).isEqualTo(startVar.getIndex());
assertThat(endExpr.getCoefficient(0)).isEqualTo(1);
}
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@Test
public void testCpModel_addBoolOr() throws Exception {
final CpModel model = new CpModel();
assertNotNull(model);
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final BoolVar x = model.newBoolVar("x");
final BoolVar y = model.newBoolVar("y");
final BoolVar z = model.newBoolVar("z");
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model.addBoolOr(new Literal[] {x, y.not(), z});
assertThat(model.model().getConstraintsCount()).isEqualTo(1);
assertThat(model.model().getConstraints(0).hasBoolOr()).isTrue();
assertThat(model.model().getConstraints(0).getBoolOr().getLiteralsCount()).isEqualTo(3);
}
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@Test
public void testCpModel_addAtLeastOne() throws Exception {
final CpModel model = new CpModel();
assertNotNull(model);
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final BoolVar x = model.newBoolVar("x");
final BoolVar y = model.newBoolVar("y");
final BoolVar z = model.newBoolVar("z");
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model.addAtLeastOne(new Literal[] {x, y.not(), z});
assertThat(model.model().getConstraintsCount()).isEqualTo(1);
assertThat(model.model().getConstraints(0).hasBoolOr()).isTrue();
assertThat(model.model().getConstraints(0).getBoolOr().getLiteralsCount()).isEqualTo(3);
}
@Test
public void testCpModel_addAtMostOne() throws Exception {
final CpModel model = new CpModel();
assertNotNull(model);
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final BoolVar x = model.newBoolVar("x");
final BoolVar y = model.newBoolVar("y");
final BoolVar z = model.newBoolVar("z");
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model.addAtMostOne(new Literal[] {x, y.not(), z});
assertThat(model.model().getConstraintsCount()).isEqualTo(1);
assertThat(model.model().getConstraints(0).hasAtMostOne()).isTrue();
assertThat(model.model().getConstraints(0).getAtMostOne().getLiteralsCount()).isEqualTo(3);
}
@Test
public void testCpModel_addExactlyOne() throws Exception {
final CpModel model = new CpModel();
assertNotNull(model);
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final BoolVar x = model.newBoolVar("x");
final BoolVar y = model.newBoolVar("y");
final BoolVar z = model.newBoolVar("z");
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model.addExactlyOne(new Literal[] {x, y.not(), z});
assertThat(model.model().getConstraintsCount()).isEqualTo(1);
assertThat(model.model().getConstraints(0).hasExactlyOne()).isTrue();
assertThat(model.model().getConstraints(0).getExactlyOne().getLiteralsCount()).isEqualTo(3);
}
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@Test
public void testCpModel_addBoolAnd() throws Exception {
final CpModel model = new CpModel();
assertNotNull(model);
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final BoolVar x = model.newBoolVar("x");
final BoolVar y = model.newBoolVar("y");
final BoolVar z = model.newBoolVar("z");
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model.addBoolAnd(new Literal[] {x, y.not(), z});
assertThat(model.model().getConstraintsCount()).isEqualTo(1);
assertThat(model.model().getConstraints(0).hasBoolAnd()).isTrue();
assertThat(model.model().getConstraints(0).getBoolAnd().getLiteralsCount()).isEqualTo(3);
}
@Test
public void testCpModel_addBoolXor() throws Exception {
final CpModel model = new CpModel();
assertNotNull(model);
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final BoolVar x = model.newBoolVar("x");
final BoolVar y = model.newBoolVar("y");
final BoolVar z = model.newBoolVar("z");
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model.addBoolXor(new Literal[] {x, y.not(), z});
assertThat(model.model().getConstraintsCount()).isEqualTo(1);
assertThat(model.model().getConstraints(0).hasBoolXor()).isTrue();
assertThat(model.model().getConstraints(0).getBoolXor().getLiteralsCount()).isEqualTo(3);
}
@Test
public void testCpModel_addImplication() throws Exception {
final CpModel model = new CpModel();
assertNotNull(model);
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final BoolVar x = model.newBoolVar("x");
final BoolVar y = model.newBoolVar("y");
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model.addImplication(x, y);
assertThat(model.model().getConstraintsCount()).isEqualTo(1);
assertThat(model.model().getConstraints(0).hasBoolOr()).isTrue();
assertThat(model.model().getConstraints(0).getBoolOr().getLiteralsCount()).isEqualTo(2);
}
@Test
public void testCpModel_addLinear() throws Exception {
final CpModel model = new CpModel();
assertNotNull(model);
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final BoolVar x = model.newBoolVar("x");
final BoolVar y = model.newBoolVar("y");
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model.addEquality(LinearExpr.newBuilder().add(x).add(y).build(), 1);
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assertThat(model.model().getConstraintsCount()).isEqualTo(1);
assertThat(model.model().getConstraints(0).hasLinear()).isTrue();
assertThat(model.model().getConstraints(0).getLinear().getVarsCount()).isEqualTo(2);
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final BoolVar b = model.newBoolVar("b");
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model.addEquality(LinearExpr.newBuilder().add(x).add(y).build(), 2).onlyEnforceIf(b.not());
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assertThat(model.model().getConstraintsCount()).isEqualTo(2);
assertThat(model.model().getConstraints(1).hasLinear()).isTrue();
assertThat(model.model().getConstraints(1).getEnforcementLiteralCount()).isEqualTo(1);
assertThat(model.model().getConstraints(1).getEnforcementLiteral(0)).isEqualTo(-3);
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final BoolVar c = model.newBoolVar("c");
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model.addEquality(LinearExpr.newBuilder().add(x).add(y).build(), 3)
.onlyEnforceIf(new Literal[] {b, c});
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assertThat(model.model().getConstraintsCount()).isEqualTo(3);
assertThat(model.model().getConstraints(2).hasLinear()).isTrue();
assertThat(model.model().getConstraints(2).getEnforcementLiteralCount()).isEqualTo(2);
assertThat(model.model().getConstraints(2).getEnforcementLiteral(0)).isEqualTo(2);
assertThat(model.model().getConstraints(2).getEnforcementLiteral(1)).isEqualTo(3);
}
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@Test
public void testLinearExpr_addEquality_literal() {
final CpModel model = new CpModel();
assertNotNull(model);
final Literal x = model.newBoolVar("x");
final Literal y = model.newBoolVar("y").not();
model.addEquality(x, y);
}
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@Test
public void testCpModel_addMinEquality() throws Exception {
final CpModel model = new CpModel();
assertNotNull(model);
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final BoolVar x = model.newBoolVar("x");
final BoolVar y = model.newBoolVar("y");
final BoolVar t = model.newBoolVar("t");
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model.addMinEquality(t, new IntVar[] {x, y});
assertThat(model.model().getConstraintsCount()).isEqualTo(1);
assertThat(model.model().getConstraints(0).hasLinMax()).isTrue();
LinearArgumentProto ct = model.model().getConstraints(0).getLinMax();
assertThat(ct.getTarget().getVarsCount()).isEqualTo(1);
assertThat(ct.getTarget().getVars(0)).isEqualTo(2);
assertThat(ct.getTarget().getCoeffs(0)).isEqualTo(-1);
assertThat(ct.getExprsCount()).isEqualTo(2);
assertThat(ct.getExprs(0).getVarsCount()).isEqualTo(1);
assertThat(ct.getExprs(0).getVars(0)).isEqualTo(0);
assertThat(ct.getExprs(0).getCoeffs(0)).isEqualTo(-1);
assertThat(ct.getExprs(1).getVarsCount()).isEqualTo(1);
assertThat(ct.getExprs(1).getVars(0)).isEqualTo(1);
assertThat(ct.getExprs(1).getCoeffs(0)).isEqualTo(-1);
}
@Test
public void testCpModel_addMaxEquality() throws Exception {
final CpModel model = new CpModel();
assertNotNull(model);
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final BoolVar x = model.newBoolVar("x");
final BoolVar y = model.newBoolVar("y");
final BoolVar t = model.newBoolVar("t");
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model.addMaxEquality(t, new IntVar[] {x, y});
assertThat(model.model().getConstraintsCount()).isEqualTo(1);
assertThat(model.model().getConstraints(0).hasLinMax()).isTrue();
LinearArgumentProto ct = model.model().getConstraints(0).getLinMax();
assertThat(ct.getTarget().getVarsCount()).isEqualTo(1);
assertThat(ct.getTarget().getVars(0)).isEqualTo(2);
assertThat(ct.getTarget().getCoeffs(0)).isEqualTo(1);
assertThat(ct.getExprsCount()).isEqualTo(2);
assertThat(ct.getExprs(0).getVarsCount()).isEqualTo(1);
assertThat(ct.getExprs(0).getVars(0)).isEqualTo(0);
assertThat(ct.getExprs(0).getCoeffs(0)).isEqualTo(1);
assertThat(ct.getExprs(1).getVarsCount()).isEqualTo(1);
assertThat(ct.getExprs(1).getVars(0)).isEqualTo(1);
assertThat(ct.getExprs(1).getCoeffs(0)).isEqualTo(1);
}
@Test
public void testCpModel_addMinExprEquality() throws Exception {
final CpModel model = new CpModel();
assertNotNull(model);
final IntVar x = model.newBoolVar("x");
final IntVar t = model.newBoolVar("t");
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model.addMinEquality(LinearExpr.newBuilder().addTerm(t, -3).build(),
new LinearExpr[] {LinearExpr.newBuilder().addTerm(x, 2).add(1).build(),
LinearExpr.newBuilder().add(5).build()});
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assertThat(model.model().getConstraintsCount()).isEqualTo(1);
assertThat(model.model().getConstraints(0).hasLinMax()).isTrue();
LinearArgumentProto ct = model.model().getConstraints(0).getLinMax();
assertThat(ct.getTarget().getVarsCount()).isEqualTo(1);
assertThat(ct.getTarget().getVars(0)).isEqualTo(1);
assertThat(ct.getTarget().getCoeffs(0)).isEqualTo(3);
assertThat(ct.getExprsCount()).isEqualTo(2);
assertThat(ct.getExprs(0).getVarsCount()).isEqualTo(1);
assertThat(ct.getExprs(0).getVars(0)).isEqualTo(0);
assertThat(ct.getExprs(0).getCoeffs(0)).isEqualTo(-2);
assertThat(ct.getExprs(0).getOffset()).isEqualTo(-1);
assertThat(ct.getExprs(1).getVarsCount()).isEqualTo(0);
assertThat(ct.getExprs(1).getOffset()).isEqualTo(-5);
}
@Test
public void testCpModel_addAbsEquality() throws Exception {
final CpModel model = new CpModel();
assertNotNull(model);
final IntVar x = model.newBoolVar("x");
final IntVar t = model.newBoolVar("t");
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model.addAbsEquality(LinearExpr.newBuilder().addTerm(t, -3).build(),
LinearExpr.newBuilder().addTerm(x, 2).add(1).build());
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assertThat(model.model().getConstraintsCount()).isEqualTo(1);
assertThat(model.model().getConstraints(0).hasLinMax()).isTrue();
LinearArgumentProto ct = model.model().getConstraints(0).getLinMax();
assertThat(ct.getTarget().getVarsCount()).isEqualTo(1);
assertThat(ct.getTarget().getVars(0)).isEqualTo(1);
assertThat(ct.getTarget().getCoeffs(0)).isEqualTo(-3);
assertThat(ct.getExprsCount()).isEqualTo(2);
assertThat(ct.getExprs(0).getVarsCount()).isEqualTo(1);
assertThat(ct.getExprs(0).getVars(0)).isEqualTo(0);
assertThat(ct.getExprs(0).getCoeffs(0)).isEqualTo(2);
assertThat(ct.getExprs(0).getOffset()).isEqualTo(1);
assertThat(ct.getExprs(1).getVarsCount()).isEqualTo(1);
assertThat(ct.getExprs(1).getVars(0)).isEqualTo(0);
assertThat(ct.getExprs(1).getCoeffs(0)).isEqualTo(-2);
assertThat(ct.getExprs(1).getOffset()).isEqualTo(-1);
}
@Test
public void testCpModel_addCircuit() throws Exception {
final CpModel model = new CpModel();
assertNotNull(model);
final Literal x1 = model.newBoolVar("x1");
final Literal x2 = model.newBoolVar("x2");
final Literal x3 = model.newBoolVar("x3");
CircuitConstraint circuit = model.addCircuit();
circuit.addArc(0, 1, x1);
circuit.addArc(1, 2, x2.not());
circuit.addArc(2, 0, x3);
assertThat(model.model().getConstraintsCount()).isEqualTo(1);
assertThat(model.model().getConstraints(0).hasCircuit()).isTrue();
assertThat(model.model().getConstraints(0).getCircuit().getTailsCount()).isEqualTo(3);
assertThat(model.model().getConstraints(0).getCircuit().getHeadsCount()).isEqualTo(3);
assertThat(model.model().getConstraints(0).getCircuit().getLiteralsCount()).isEqualTo(3);
}
@Test
public void testCpModel_addMultipleCircuit() throws Exception {
final CpModel model = new CpModel();
assertNotNull(model);
final Literal x1 = model.newBoolVar("x1");
final Literal x2 = model.newBoolVar("x2");
final Literal x3 = model.newBoolVar("x3");
MultipleCircuitConstraint circuit = model.addMultipleCircuit();
circuit.addArc(0, 1, x1);
circuit.addArc(1, 2, x2.not());
circuit.addArc(2, 0, x3);
assertThat(model.model().getConstraintsCount()).isEqualTo(1);
assertThat(model.model().getConstraints(0).hasRoutes()).isTrue();
assertThat(model.model().getConstraints(0).getRoutes().getTailsCount()).isEqualTo(3);
assertThat(model.model().getConstraints(0).getRoutes().getHeadsCount()).isEqualTo(3);
assertThat(model.model().getConstraints(0).getRoutes().getLiteralsCount()).isEqualTo(3);
}
@Test
public void testCpModel_addAutomaton() throws Exception {
final CpModel model = new CpModel();
assertNotNull(model);
final IntVar x1 = model.newIntVar(0, 5, "x1");
final IntVar x2 = model.newIntVar(0, 5, "x2");
final IntVar x3 = model.newIntVar(0, 5, "x3");
AutomatonConstraint automaton =
model.addAutomaton(new IntVar[] {x1, x2, x3}, 0, new long[] {1, 2});
automaton.addTransition(0, 1, 0);
automaton.addTransition(1, 1, 1);
automaton.addTransition(1, 2, 2);
assertThat(model.model().getConstraintsCount()).isEqualTo(1);
assertThat(model.model().getConstraints(0).hasAutomaton()).isTrue();
assertThat(model.model().getConstraints(0).hasAutomaton()).isTrue();
assertThat(model.model().getConstraints(0).getAutomaton().getTransitionTailCount())
.isEqualTo(3);
assertThat(model.model().getConstraints(0).getAutomaton().getTransitionHeadCount())
.isEqualTo(3);
assertThat(model.model().getConstraints(0).getAutomaton().getTransitionLabelCount())
.isEqualTo(3);
assertThat(model.model().getConstraints(0).getAutomaton().getStartingState()).isEqualTo(0);
assertThat(model.model().getConstraints(0).getAutomaton().getFinalStatesCount()).isEqualTo(2);
}
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@Test
public void testCpModel_addNoOverlap() throws Exception {
final CpModel model = new CpModel();
assertNotNull(model);
final int horizon = 100;
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final IntVar startVar1 = model.newIntVar(0, horizon, "start1");
final int duration1 = 10;
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final IntervalVar interval1 = model.newFixedSizeIntervalVar(startVar1, duration1, "interval1");
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final IntVar startVar2 = model.newIntVar(0, horizon, "start2");
final int duration2 = 15;
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final IntervalVar interval2 = model.newFixedSizeIntervalVar(startVar2, duration2, "interval2");
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model.addNoOverlap(new IntervalVar[] {interval1, interval2});
assertThat(model.model().getConstraintsCount()).isEqualTo(3);
assertThat(model.model().getConstraints(0).hasInterval()).isTrue();
assertThat(model.model().getConstraints(1).hasInterval()).isTrue();
assertThat(model.model().getConstraints(2).hasNoOverlap()).isTrue();
assertThat(model.model().getConstraints(2).getNoOverlap().getIntervalsCount()).isEqualTo(2);
}
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@Test
public void testCpModel_addCumulative() throws Exception {
final CpModel model = new CpModel();
assertNotNull(model);
final int horizon = 100;
final IntVar startVar1 = model.newIntVar(0, horizon, "start1");
final int duration1 = 10;
final int demand1 = 20;
final IntervalVar interval1 = model.newFixedSizeIntervalVar(startVar1, duration1, "interval1");
final IntVar startVar2 = model.newIntVar(0, horizon, "start2");
final IntVar demandVar2 = model.newIntVar(2, 5, "demand2");
final int duration2 = 15;
final IntervalVar interval2 = model.newFixedSizeIntervalVar(startVar2, duration2, "interval2");
CumulativeConstraint cumul = model.addCumulative(13);
cumul.addDemand(interval1, demand1);
cumul.addDemand(interval2, demandVar2);
assertThat(model.model().getConstraintsCount()).isEqualTo(3);
assertThat(model.model().getConstraints(0).hasInterval()).isTrue();
assertThat(model.model().getConstraints(1).hasInterval()).isTrue();
assertThat(model.model().getConstraints(2).hasCumulative()).isTrue();
assertThat(model.model().getConstraints(2).getCumulative().getIntervalsCount()).isEqualTo(2);
}
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@Test
public void testCpModel_addNoOverlap2D() throws Exception {
final CpModel model = new CpModel();
assertNotNull(model);
final int horizon = 100;
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final IntVar startVar1 = model.newIntVar(0, horizon, "start1");
final int duration1 = 10;
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final IntervalVar interval1 = model.newFixedSizeIntervalVar(startVar1, duration1, "interval1");
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final IntVar startVar2 = model.newIntVar(0, horizon, "start2");
final int duration2 = 15;
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final IntervalVar interval2 = model.newFixedSizeIntervalVar(startVar2, duration2, "interval2");
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NoOverlap2dConstraint ct = model.addNoOverlap2D();
ct.addRectangle(interval1, interval1);
ct.addRectangle(interval2, interval2);
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assertThat(model.model().getConstraintsCount()).isEqualTo(3);
assertThat(model.model().getConstraints(0).hasInterval()).isTrue();
assertThat(model.model().getConstraints(1).hasInterval()).isTrue();
assertThat(model.model().getConstraints(2).hasNoOverlap2D()).isTrue();
assertThat(model.model().getConstraints(2).getNoOverlap2D().getXIntervalsCount()).isEqualTo(2);
assertThat(model.model().getConstraints(2).getNoOverlap2D().getYIntervalsCount()).isEqualTo(2);
}
@Test
public void testCpModel_modelStats() throws Exception {
final CpModel model = new CpModel();
assertNotNull(model);
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final BoolVar x = model.newBoolVar("x");
final BoolVar y = model.newBoolVar("y");
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model.addImplication(x, y);
String stats = model.modelStats();
assertThat(stats).isNotEmpty();
}
@Test
public void testCpModel_validateOk() throws Exception {
final CpModel model = new CpModel();
assertNotNull(model);
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final BoolVar x = model.newBoolVar("x");
final BoolVar y = model.newBoolVar("y");
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model.addImplication(x, y);
String stats = model.validate();
assertThat(stats).isEmpty();
}
@Test
public void testCpModel_validateNotOk() throws Exception {
final CpModel model = new CpModel();
assertNotNull(model);
final IntVar x = model.newIntVar(0, 9223372036854775807L, "x");
final IntVar y = model.newIntVar(0, 10, "y");
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model.addLinearExpressionInDomain(LinearExpr.newBuilder().add(x).add(y).build(),
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Domain.fromFlatIntervals(new long[] {6, 9223372036854775807L}));
String stats = model.validate();
assertThat(stats).isNotEmpty();
}
@Test
public void testCpModel_exceptionVisibility() throws Exception {
CpModel.MismatchedArrayLengths ex1 = new CpModel.MismatchedArrayLengths("test1", "ar1", "ar2");
CpModel.WrongLength ex2 = new CpModel.WrongLength("test2", "ar");
assertThat(ex1).hasMessageThat().isEqualTo("test1: ar1 and ar2 have mismatched lengths");
assertThat(ex2).hasMessageThat().isEqualTo("test2: ar");
}
}