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Mikael CAPELLE 2024-01-15 18:12:19 +01:00
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<setting id="org.eclipse.jdt.core.compiler.codegen.inlineJsrBytecode" value="enabled" />
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<setting id="org.eclipse.jdt.core.formatter.insert_new_line_before_while_in_do_statement" value="do not insert" />
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<setting id="org.eclipse.jdt.core.formatter.comment.line_length" value="88" />
<setting id="org.eclipse.jdt.core.formatter.insert_new_line_after_annotation_on_package" value="insert" />
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<setting id="org.eclipse.jdt.core.formatter.alignment_for_superinterfaces_in_enum_declaration" value="16" />
<setting id="org.eclipse.jdt.core.formatter.indent_statements_compare_to_block" value="true" />
<setting id="org.eclipse.jdt.core.formatter.join_lines_in_comments" value="true" />
<setting id="org.eclipse.jdt.core.formatter.insert_space_before_question_in_conditional" value="insert" />
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<setting id="org.eclipse.jdt.core.formatter.insert_space_after_comma_in_for_inits" value="insert" />
<setting id="org.eclipse.jdt.core.formatter.indent_switchstatements_compare_to_cases" value="true" />
<setting id="org.eclipse.jdt.core.formatter.insert_space_after_comma_in_array_initializer" value="insert" />
<setting id="org.eclipse.jdt.core.formatter.insert_space_before_colon_in_default" value="do not insert" />
<setting id="org.eclipse.jdt.core.formatter.insert_space_before_and_in_type_parameter" value="insert" />
<setting id="org.eclipse.jdt.core.formatter.insert_space_between_empty_parens_in_constructor_declaration" value="do not insert" />
<setting id="org.eclipse.jdt.core.formatter.blank_lines_before_imports" value="0" />
<setting id="org.eclipse.jdt.core.formatter.insert_space_after_colon_in_assert" value="insert" />
<setting id="org.eclipse.jdt.core.formatter.alignment_for_annotations_on_field" value="1585" />
<setting id="org.eclipse.jdt.core.formatter.comment.format_html" value="true" />
<setting id="org.eclipse.jdt.core.formatter.alignment_for_throws_clause_in_method_declaration" value="16" />
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<setting id="org.eclipse.jdt.core.formatter.insert_space_after_colon_in_conditional" value="insert" />
<setting id="org.eclipse.jdt.core.formatter.insert_space_after_opening_angle_bracket_in_parameterized_type_reference" value="do not insert" />
<setting id="org.eclipse.jdt.core.formatter.insert_space_before_closing_paren_in_for" value="do not insert" />
<setting id="org.eclipse.jdt.core.formatter.alignment_for_expressions_in_array_initializer.count_dependent" value="16|5|80" />
<setting id="org.eclipse.jdt.core.formatter.insert_space_before_postfix_operator" value="do not insert" />
<setting id="org.eclipse.jdt.core.formatter.comment.format_source_code" value="true" />
<setting id="org.eclipse.jdt.core.formatter.insert_space_before_opening_paren_in_synchronized" value="insert" />
<setting id="org.eclipse.jdt.core.formatter.insert_space_after_comma_in_allocation_expression" value="insert" />
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<setting id="org.eclipse.jdt.core.compiler.codegen.targetPlatform" value="1.7" />
<setting id="org.eclipse.jdt.core.formatter.alignment_for_resources_in_try" value="80" />
<setting id="org.eclipse.jdt.core.formatter.use_tabs_only_for_leading_indentations" value="false" />
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<setting id="org.eclipse.jdt.core.formatter.comment.format_header" value="true" />
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</profile>
</profiles>

35
pom.xml Normal file
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<?xml version="1.0" encoding="UTF-8"?>
<project xmlns="http://maven.apache.org/POM/4.0.0"
xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://maven.apache.org/POM/4.0.0 http://maven.apache.org/xsd/maven-4.0.0.xsd">
<modelVersion>4.0.0</modelVersion>
<groupId>fr.holt59</groupId>
<artifactId>non-transitive-dices</artifactId>
<version>1.0-SNAPSHOT</version>
<name>non-transitive-dices</name>
<!-- FIXME change it to the project's website -->
<url>http://www.example.com</url>
<properties>
<project.build.sourceEncoding>UTF-8</project.build.sourceEncoding>
<maven.compiler.source>17</maven.compiler.source>
<maven.compiler.target>17</maven.compiler.target>
</properties>
<dependencies>
<dependency>
<groupId>org.choco-solver</groupId>
<artifactId>choco-solver</artifactId>
<version>4.10.10</version>
</dependency>
<dependency>
<groupId>junit</groupId>
<artifactId>junit</artifactId>
<version>4.11</version>
<scope>test</scope>
</dependency>
</dependencies>
</project>

110
src/main/java/fr/holt59/App.java Normal file
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package fr.holt59;
import java.io.BufferedReader;
import java.io.BufferedWriter;
import java.io.IOException;
import java.io.OutputStream;
import java.io.PrintStream;
import java.nio.file.Files;
import java.nio.file.Path;
import java.nio.file.Paths;
import java.util.Arrays;
import java.util.List;
import java.util.stream.IntStream;
import org.chocosolver.solver.Model;
import org.chocosolver.solver.Solution;
import org.chocosolver.solver.variables.BoolVar;
import org.chocosolver.solver.variables.IntVar;
/**
* Hello world!
*/
public class App {
public static class NonTransitiveDiceModel extends Model {
private final IntVar[][] dices;
public NonTransitiveDiceModel(final int nDices, final int nFaces) {
super("Non-Transitive Dices");
final int nVars = nDices * nFaces;
this.dices = IntStream.range(0, nDices)
.mapToObj(i -> IntStream.range(0, nFaces).mapToObj(
f -> this.intVar(String.format("x_%d_%d", i, f), 1, nVars))
.toArray(IntVar[]::new))
.toArray(IntVar[][]::new);
// values are used once each
this.allDifferent(Arrays.stream(dices).flatMap(dice -> Arrays.stream(dice))
.toArray(IntVar[]::new)).post();
// ordered values on each dice
for (final IntVar[] dice : dices) {
for (int iFace = 0; iFace < nFaces - 1; ++iFace) {
this.arithm(dice[iFace], "<", dice[iFace + 1]).post();
}
}
// avoid symmetric solutions
for (int iDice = 0; iDice < nDices - 1; ++iDice) {
this.arithm(dices[iDice][0], "<", dices[iDice + 1][0]).post();
}
// winning probabilities
for (int iDice = 0; iDice < nDices; ++iDice) {
final BoolVar[] winning = new BoolVar[nDices];
winning[iDice] = this.boolVar(false);
for (int otherDice = 0; otherDice < nDices; ++otherDice) {
if (otherDice == iDice) {
continue;
}
final BoolVar[] compare = IntStream.range(0, nFaces * nFaces)
.mapToObj(i -> this.boolVar()).toArray(BoolVar[]::new);
for (int iFace = 0; iFace < nFaces; ++iFace) {
for (int otherFace = 0; otherFace < nFaces; ++otherFace) {
this.reifyXleY(dices[otherDice][otherFace],
dices[iDice][iFace],
compare[iFace * nFaces + otherFace]);
}
}
winning[otherDice] =
this.sum(compare, ">", compare.length / 2).reify();
}
this.addClausesBoolOrArrayEqualTrue(winning);
}
}
public int[][] getDices(final Solution solution) {
return Arrays.stream(this.dices)
.map(dice -> Arrays.stream(dice)
.mapToInt(face -> solution.getIntVal(face)).toArray())
.toArray(int[][]::new);
}
}
public static void main(String[] args) throws IOException {
final int nDices = 3;
final int nFaces = 6;
final NonTransitiveDiceModel model = new NonTransitiveDiceModel(nDices, nFaces);
final List<Solution> solutions = model.getSolver().findAllSolutions();
System.out.println(String.format("Found %d solutions.", solutions.size()));
try (final PrintStream outputStream = new PrintStream(Files.newOutputStream(
Paths.get(String.format("./dices-%dx%d.txt", nDices, nFaces))))) {
for (final Solution solution : solutions) {
final int[][] dices = model.getDices(solution);
outputStream.println(String.join(", ", Arrays.stream(dices)
.map(Arrays::toString).toArray(String[]::new)));
}
}
}
}

20
src/test/java/fr/holt59/AppTest.java Normal file
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package fr.holt59;
import static org.junit.Assert.assertTrue;
import org.junit.Test;
/**
* Unit test for simple App.
*/
public class AppTest
{
/**
* Rigorous Test :-)
*/
@Test
public void shouldAnswerWithTrue()
{
assertTrue( true );
}
}