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16144aa9bd
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549419a105
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@ -15,8 +15,8 @@ public class BigIntegerField {
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private static final BigInteger THREE = BigInteger.valueOf(3);
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private static final BigInteger THREE = BigInteger.valueOf(3);
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public BigIntegerField(){
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public BigIntegerField(){
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this.groupOrder = new BigInteger("65519");
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this.groupOrder = new BigInteger("5");
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this.rand = new SecureRandom();
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this.rand = new SecureRandom(new byte[] {12});
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}
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}
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public FieldElement getElement(){
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public FieldElement getElement(){
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@ -27,14 +27,21 @@ public class BigIntegerField {
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}
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}
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public BigInteger multiply(BigInteger elem1, BigInteger elem2){
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public BigInteger multiply(BigInteger elem1, BigInteger elem2){
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return elem1.multiply(elem2).mod(groupOrder);
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return elem1.multiply(elem2).mod(groupOrder);
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}
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}
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public BigInteger add(BigInteger elem1, BigInteger elem2){
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public BigInteger add(BigInteger elem1, BigInteger elem2){
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return elem1.add(elem2).mod(groupOrder);
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return elem1.add(elem2).mod(groupOrder);
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}
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}
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public BigInteger subtract(BigInteger elem1, BigInteger elem2){
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return elem1.subtract(elem2).mod(groupOrder);
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}
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public BigInteger getGroupOrder(){
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public BigInteger getGroupOrder(){
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return groupOrder;
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return groupOrder;
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}
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}
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@ -12,14 +12,11 @@ import dk.au.pir.utils.ProtocolUtils;
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import org.w3c.dom.ls.LSOutput;
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import org.w3c.dom.ls.LSOutput;
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import java.math.BigInteger;
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import java.math.BigInteger;
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import java.util.ArrayList;
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import java.util.*;
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import java.util.Collections;
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import java.util.HashSet;
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import java.util.Set;
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public class Driver {
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public class Driver {
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public static void interPolyTest() {
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public static void interPolyTest() {
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InterPolyClient client = new InterPolyClient(0);
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InterPolyClient client = new InterPolyClient(1);
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InterPolyServer[] servers = new InterPolyServer[PIRSettings.MOD_BIT_LENGTH + 1];
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InterPolyServer[] servers = new InterPolyServer[PIRSettings.MOD_BIT_LENGTH + 1];
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client.generateSRandomFieldElements();
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client.generateSRandomFieldElements();
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@ -39,17 +36,20 @@ public class Driver {
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System.out.println(res);
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System.out.println(res);
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}
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}
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public static void generalInterPolyTest() {
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private static int generalInterPolyTest(int ip) {
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ProtocolUtils utils = new ProtocolUtils();
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ProtocolUtils utils = new ProtocolUtils();
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int s = utils.findSizeOfS(2, PIRSettings.DATABASE_SIZE);
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int s = utils.findSizeOfS(PIRSettings.NUM_SERVERS, PIRSettings.DATABASE_SIZE);
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GeneralInterPolyClient client = new GeneralInterPolyClient(22, s);
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System.out.println("s: "+s);
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GeneralInterPolyClient client = new GeneralInterPolyClient(1, s);
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int[] database = new int[PIRSettings.DATABASE_SIZE];
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int[] database = new int[PIRSettings.DATABASE_SIZE];
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System.out.println("db_size: " +PIRSettings.DATABASE_SIZE);
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GeneralInterPolyServer[] servers = new GeneralInterPolyServer[PIRSettings.MOD_BIT_LENGTH + 1];
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GeneralInterPolyServer[] servers = new GeneralInterPolyServer[PIRSettings.NUM_SERVERS];
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client.generateSRandomFieldElements();
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client.generateSRandomFieldElements();
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database[24] = 1;
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database[1] = 1;
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int[][] sequences = new int[PIRSettings.DATABASE_SIZE][s];
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int[][] sequences = new int[PIRSettings.DATABASE_SIZE][s];
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@ -60,25 +60,34 @@ public class Driver {
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candidates.add(candidate);
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candidates.add(candidate);
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}
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}
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ArrayList<ComparableIntList> listCandidates = new ArrayList<ComparableIntList>();
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ArrayList<ComparableIntList> listCandidates = new ArrayList<ComparableIntList>(candidates);
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listCandidates.addAll(candidates);
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Collections.sort(listCandidates);
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Collections.sort(listCandidates);
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BigInteger[] results = new BigInteger[PIRSettings.MOD_BIT_LENGTH + 1];
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for (int i = 0; i < sequences.length; i++) {
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sequences[i] = listCandidates.get(i).getList();
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}
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BigInteger[] results = new BigInteger[PIRSettings.NUM_SERVERS];
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for (int z = 0; z < PIRSettings.MOD_BIT_LENGTH+1; z++) {
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for (int z = 0; z < PIRSettings.NUM_SERVERS; z++) {
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servers[z] = new GeneralInterPolyServer(database, sequences);
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servers[z] = new GeneralInterPolyServer(database, sequences, s);
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servers[z].receiveGs(client.sendGs(z));
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servers[z].receiveGs(client.sendGs(z));
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results[z] = servers[z].F();
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results[z] = servers[z].F();
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}
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}
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BigInteger res = client.receiveResults(results);
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BigInteger res = client.receiveResults(results).mod(client.getFieldElements()[0].getModulus()); // lol
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System.out.println(res);
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System.out.println(res);
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return res.intValue();
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}
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}
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public static void main(String[] args) {
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public static void main(String[] args) {
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generalInterPolyTest();
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int sum = 0;
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for (int i = 0; i < 1; i++) {
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int res = generalInterPolyTest(i);
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if (res == 1) {
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sum += 1;
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}
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}
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System.out.println("sum: " + sum);
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}
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}
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}
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}
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@ -7,12 +7,12 @@ import dk.au.pir.utils.FieldElement;
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import dk.au.pir.utils.IntegerUtils;
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import dk.au.pir.utils.IntegerUtils;
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import java.math.BigInteger;
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import java.math.BigInteger;
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import java.util.Random;
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import java.util.Arrays;
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public class GeneralInterPolyClient {
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public class GeneralInterPolyClient {
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private final int i;
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private final int i;
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private Random random = new Random();
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private final int s;
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private BigIntegerField field;
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private BigIntegerField field;
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@ -21,23 +21,25 @@ public class GeneralInterPolyClient {
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public GeneralInterPolyClient(int i, int s) {
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public GeneralInterPolyClient(int i, int s) {
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this.i = i;
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this.i = i;
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fieldElements = new FieldElement[s];
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fieldElements = new FieldElement[s];
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this.s = s;
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this.field = new BigIntegerField();
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this.field = new BigIntegerField();
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}
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}
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public void generateSRandomFieldElements() {
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public void generateSRandomFieldElements() {
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for (int i = 0; i < fieldElements.length; i++) {
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for (int j = 0; j < fieldElements.length; j++) {
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this.fieldElements[i] = field.getElement();
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this.fieldElements[j] = field.getElement();
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}
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}
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System.out.println("randoms: "+Arrays.deepToString(fieldElements));
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}
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}
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private BigInteger g(int l, int z) {
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private BigInteger g(int l, int z) {
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BigInteger il = BigInteger.valueOf(IntegerUtils.leastSignificantBit(i, l)).mod(field.getGroupOrder());
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BigInteger il = BigInteger.valueOf(IntegerUtils.leastSignificantBit(this.i, l));
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return field.add(field.multiply(fieldElements[l].getValue(), (BigInteger.valueOf(z))), il);
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return field.add(field.multiply(fieldElements[l].getValue(), (BigInteger.valueOf(z+1))), il);
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}
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}
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public BigInteger[] sendGs(int z){
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public BigInteger[] sendGs(int z){
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BigInteger[] gs = new BigInteger[PIRSettings.MOD_BIT_LENGTH];
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BigInteger[] gs = new BigInteger[this.s];
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for (int l = 0; l < PIRSettings.MOD_BIT_LENGTH; l++) {
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for (int l = 0; l < this.s; l++) {
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gs[l] = g(l, z);
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gs[l] = g(l, z);
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}
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}
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return gs;
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return gs;
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@ -49,11 +51,11 @@ public class GeneralInterPolyClient {
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public BigInteger receiveResults(BigInteger[] results) {
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public BigInteger receiveResults(BigInteger[] results) {
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BigInteger[] fuckingXs = new BigInteger[PIRSettings.MOD_BIT_LENGTH + 1];
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BigInteger[] xs = new BigInteger[PIRSettings.NUM_SERVERS];
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for (int i = 0; i < PIRSettings.MOD_BIT_LENGTH + 1; i++) {
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for (int j = 0; j < PIRSettings.NUM_SERVERS; j++) {
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fuckingXs[i] = BigInteger.valueOf(i);
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xs[j] = BigInteger.valueOf(j+1);
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}
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}
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return BigIntegerLagrange.interpolate(fuckingXs, results);
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return BigIntegerLagrange.interpolate(xs, results);
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}
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}
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}
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}
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@ -1,45 +1,63 @@
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package dk.au.pir.protocols.general.interpoly;
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package dk.au.pir.protocols.general.interpoly;
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import dk.au.pir.BigIntegerField;
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import dk.au.pir.settings.PIRSettings;
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import dk.au.pir.settings.PIRSettings;
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import dk.au.pir.utils.IntegerUtils;
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import java.math.BigInteger;
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import java.math.BigInteger;
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public class GeneralInterPolyServer {
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public class GeneralInterPolyServer {
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private final int sequenceLength;
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private BigInteger[] gs;
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private BigInteger[] gs;
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private int[][] sequences;
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private int[][] sequences;
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private int[] database;
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private int[] database;
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private BigIntegerField field;
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public GeneralInterPolyServer(int[] database, int[][] sequences) {
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public GeneralInterPolyServer(int[] database, int[][] sequences, int sequenceLength) {
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this.sequences = sequences; this.database = database;
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this.sequences = sequences; this.database = database;; this.sequenceLength = sequenceLength;
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this.field = new BigIntegerField();
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}
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}
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public void receiveGs(BigInteger[] gs){
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public void receiveGs(BigInteger[] gs){
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this.gs = gs;
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this.gs = gs;
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}
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}
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public BigInteger f(int j){
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private BigInteger f(int j){
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BigInteger product = BigInteger.ONE;
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BigInteger product = BigInteger.ONE;
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boolean changed = false;
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for (int l = 0; l < PIRSettings.MOD_BIT_LENGTH; l++) {
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for (int l = 0; l < sequenceLength; l++) {
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if (sequences[j][l] == 1) {
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if (sequences[j][l] == 1) {
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changed = true;
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// j(l) * g_l(z) + ((1 - j(l)) * (1 - g_l(z)))
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// j(l) * g_l(z) + ((1 - j(l)) * (1 - g_l(z)))
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BigInteger tmp = gs[l].multiply(BigInteger.valueOf(sequences[j][l])).add((BigInteger.ONE.subtract(BigInteger.valueOf(sequences[j][l])).multiply(BigInteger.ONE.subtract(gs[l]))));
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BigInteger a = BigInteger.valueOf(sequences[j][l]);
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BigInteger b = gs[l];
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BigInteger c = field.subtract(BigInteger.ONE, BigInteger.valueOf(sequences[j][l]));
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BigInteger d = field.subtract(BigInteger.ONE, gs[l]);
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product = product.multiply(tmp);
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BigInteger x = field.multiply(a, b);
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}
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BigInteger y = field.multiply(c, d);
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BigInteger z = field.add(x, y);
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//product = field.multiply(product, z);
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product = field.multiply(product, b);
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System.out.println("gs: "+gs[l]);
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}
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}
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}
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if (!changed)
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return BigInteger.ZERO;
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System.out.println("product: "+product);
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return product;
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return product;
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}
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}
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public BigInteger F() {
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public BigInteger F() {
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BigInteger sum = BigInteger.ZERO;
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BigInteger sum = BigInteger.ZERO;
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for (int j = 0; j < PIRSettings.DATABASE_SIZE; j++) {
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for (int j = 0; j < PIRSettings.DATABASE_SIZE; j++) {
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// Database consist of 0's or 1'
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BigInteger plz = field.multiply(f(j), BigInteger.valueOf(this.database[j]));
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sum = sum.add(f(j).multiply(BigInteger.valueOf(database[j])));
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sum = field.add(sum, plz);
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//System.out.println(sum.longValue());
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}
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}
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System.out.println("pls");
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return sum;
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return sum;
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}
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}
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}
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}
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@ -7,9 +7,10 @@ import dk.alexandra.fresco.framework.util.ModulusFinder;
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import java.math.BigInteger;
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import java.math.BigInteger;
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public class PIRSettings {
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public class PIRSettings {
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public static final int MOD_BIT_LENGTH = 8; // s
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public static final int MOD_BIT_LENGTH = 2; // s
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public static final int DATABASE_SIZE = (int) Math.pow(2, MOD_BIT_LENGTH); // n
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public static final int DATABASE_SIZE = (int) Math.pow(2, MOD_BIT_LENGTH); // n
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public static final int MAX_BIT_LENGTH = 512;
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public static final int MAX_BIT_LENGTH = 512;
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public static final int NUM_SERVERS = 2;
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public static FieldDefinition FIELD_DEFINITION = new BigIntegerFieldDefinition(ModulusFinder.findSuitableModulus(MOD_BIT_LENGTH));
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//public static FieldDefinition FIELD_DEFINITION = new BigIntegerFieldDefinition(ModulusFinder.findSuitableModulus(MOD_BIT_LENGTH));
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}
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}
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@ -1,9 +1,12 @@
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package dk.au.pir.utils;
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package dk.au.pir.utils;
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import java.math.BigInteger;
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import java.math.BigInteger;
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import java.util.Arrays;
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public class BigIntegerLagrange {
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public class BigIntegerLagrange {
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public static BigInteger interpolate(BigInteger[] x, BigInteger[] y) {
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public static BigInteger interpolate(BigInteger[] x, BigInteger[] y) {
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System.out.println("x: " + Arrays.deepToString(x));
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System.out.println("y: " + Arrays.deepToString(y));
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// https://stackoverflow.com/questions/16375163/lagrange-interpolation-in-java
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// https://stackoverflow.com/questions/16375163/lagrange-interpolation-in-java
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BigInteger xPoint = BigInteger.ZERO; // we want to find f(0), so xpoint=0
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BigInteger xPoint = BigInteger.ZERO; // we want to find f(0), so xpoint=0
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BigInteger sum = BigInteger.ZERO;
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BigInteger sum = BigInteger.ZERO;
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@ -12,6 +12,10 @@ public class FieldElement {
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}
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}
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public String toString() {
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return "" + value.intValue();
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}
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public BigInteger getValue() {
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public BigInteger getValue() {
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return value;
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return value;
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}
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}
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