aboutsummaryrefslogtreecommitdiffstats
path: root/OpenKeychain
diff options
context:
space:
mode:
authorArt O Cathain <art.home@gmail.com>2014-06-29 12:18:16 +0100
committerArt O Cathain <art.home@gmail.com>2014-07-06 19:42:51 +0100
commitcb64f8865c407543c01dbc3646e9eb1667996dae (patch)
tree8d21cec4ac725ddd3482e7b9cf98f80593774e1d /OpenKeychain
parentfed11b26472e8fd2045a31facfd6c555f8bc06b9 (diff)
downloadopen-keychain-cb64f8865c407543c01dbc3646e9eb1667996dae.tar.gz
open-keychain-cb64f8865c407543c01dbc3646e9eb1667996dae.tar.bz2
open-keychain-cb64f8865c407543c01dbc3646e9eb1667996dae.zip
work in progress
Diffstat (limited to 'OpenKeychain')
-rw-r--r--OpenKeychain/src/main/java/org/sufficientlysecure/keychain/testsupport/KeyringBuilder.java168
-rw-r--r--OpenKeychain/src/main/java/org/sufficientlysecure/keychain/testsupport/TestDataUtil.java66
-rw-r--r--OpenKeychain/src/main/java/org/sufficientlysecure/keychain/testsupport/UncachedKeyringTestingHelper.java278
-rw-r--r--OpenKeychain/src/test/java/tests/UncachedKeyringTest.java37
4 files changed, 548 insertions, 1 deletions
diff --git a/OpenKeychain/src/main/java/org/sufficientlysecure/keychain/testsupport/KeyringBuilder.java b/OpenKeychain/src/main/java/org/sufficientlysecure/keychain/testsupport/KeyringBuilder.java
new file mode 100644
index 000000000..bbbe45ba2
--- /dev/null
+++ b/OpenKeychain/src/main/java/org/sufficientlysecure/keychain/testsupport/KeyringBuilder.java
@@ -0,0 +1,168 @@
+package org.sufficientlysecure.keychain.testsupport;
+
+import org.spongycastle.bcpg.CompressionAlgorithmTags;
+import org.spongycastle.bcpg.HashAlgorithmTags;
+import org.spongycastle.bcpg.MPInteger;
+import org.spongycastle.bcpg.PublicKeyAlgorithmTags;
+import org.spongycastle.bcpg.PublicKeyPacket;
+import org.spongycastle.bcpg.RSAPublicBCPGKey;
+import org.spongycastle.bcpg.SignaturePacket;
+import org.spongycastle.bcpg.SignatureSubpacket;
+import org.spongycastle.bcpg.SignatureSubpacketTags;
+import org.spongycastle.bcpg.SymmetricKeyAlgorithmTags;
+import org.spongycastle.bcpg.UserIDPacket;
+import org.spongycastle.bcpg.sig.Features;
+import org.spongycastle.bcpg.sig.IssuerKeyID;
+import org.spongycastle.bcpg.sig.KeyFlags;
+import org.spongycastle.bcpg.sig.PreferredAlgorithms;
+import org.spongycastle.bcpg.sig.SignatureCreationTime;
+import org.spongycastle.bcpg.sig.SignatureExpirationTime;
+import org.spongycastle.openpgp.PGPException;
+import org.spongycastle.openpgp.PGPPublicKey;
+import org.spongycastle.openpgp.PGPPublicKeyRing;
+import org.spongycastle.openpgp.PGPSignature;
+import org.spongycastle.openpgp.operator.bc.BcKeyFingerprintCalculator;
+import org.sufficientlysecure.keychain.pgp.UncachedKeyRing;
+
+import java.math.BigInteger;
+import java.util.Date;
+
+/**
+ * Created by art on 05/07/14.
+ */
+public class KeyringBuilder {
+
+
+ private static final BigInteger modulus = new BigInteger(
+ "cbab78d90d5f2cc0c54dd3c3953005a1" +
+ "e6b521f1ffa5465a102648bf7b91ec72" +
+ "f9c180759301587878caeb7333215620" +
+ "9f81ca5b3b94309d96110f6972cfc56a" +
+ "37fd6279f61d71f19b8f64b288e33829" +
+ "9dce133520f5b9b4253e6f4ba31ca36a" +
+ "fd87c2081b15f0b283e9350e370e181a" +
+ "23d31379101f17a23ae9192250db6540" +
+ "2e9cab2a275bc5867563227b197c8b13" +
+ "6c832a94325b680e144ed864fb00b9b8" +
+ "b07e13f37b40d5ac27dae63cd6a470a7" +
+ "b40fa3c7479b5b43e634850cc680b177" +
+ "8dd6b1b51856f36c3520f258f104db2f" +
+ "96b31a53dd74f708ccfcefccbe420a90" +
+ "1c37f1f477a6a4b15f5ecbbfd93311a6" +
+ "47bcc3f5f81c59dfe7252e3cd3be6e27"
+ , 16
+ );
+
+ private static final BigInteger exponent = new BigInteger("010001", 16);
+
+ public static UncachedKeyRing ring1() {
+ return ringForModulus(new Date(1404566755), "user1@example.com");
+ }
+
+ public static UncachedKeyRing ring2() {
+ return ringForModulus(new Date(1404566755), "user1@example.com");
+ }
+
+ private static UncachedKeyRing ringForModulus(Date date, String userIdString) {
+
+ try {
+ PGPPublicKey publicKey = createPgpPublicKey(modulus, date);
+ UserIDPacket userId = createUserId(userIdString);
+ SignaturePacket signaturePacket = createSignaturePacket(date);
+
+ byte[] publicKeyEncoded = publicKey.getEncoded();
+ byte[] userIdEncoded = userId.getEncoded();
+ byte[] signaturePacketEncoded = signaturePacket.getEncoded();
+ byte[] encodedRing = TestDataUtil.concatAll(
+ publicKeyEncoded,
+ userIdEncoded,
+ signaturePacketEncoded
+ );
+
+ PGPPublicKeyRing pgpPublicKeyRing = new PGPPublicKeyRing(
+ encodedRing, new BcKeyFingerprintCalculator());
+
+ return UncachedKeyRing.decodeFromData(pgpPublicKeyRing.getEncoded());
+
+ } catch (Exception e) {
+ throw new RuntimeException(e);
+ }
+ }
+
+ private static SignaturePacket createSignaturePacket(Date date) {
+ int signatureType = PGPSignature.POSITIVE_CERTIFICATION;
+ long keyID = 1;
+ int keyAlgorithm = SignaturePacket.RSA_GENERAL;
+ int hashAlgorithm = HashAlgorithmTags.SHA1;
+
+ SignatureSubpacket[] hashedData = new SignatureSubpacket[]{
+ new SignatureCreationTime(true, date),
+ new KeyFlags(true, KeyFlags.SIGN_DATA & KeyFlags.CERTIFY_OTHER),
+ new SignatureExpirationTime(true, date.getTime() + 24 * 60 * 60 * 2),
+ new PreferredAlgorithms(SignatureSubpacketTags.PREFERRED_SYM_ALGS, true, new int[]{
+ SymmetricKeyAlgorithmTags.AES_256,
+ SymmetricKeyAlgorithmTags.AES_192,
+ SymmetricKeyAlgorithmTags.AES_128,
+ SymmetricKeyAlgorithmTags.CAST5,
+ SymmetricKeyAlgorithmTags.TRIPLE_DES
+ }),
+ new PreferredAlgorithms(SignatureSubpacketTags.PREFERRED_HASH_ALGS, true, new int[]{
+ HashAlgorithmTags.SHA256,
+ HashAlgorithmTags.SHA1,
+ HashAlgorithmTags.SHA384,
+ HashAlgorithmTags.SHA512,
+ HashAlgorithmTags.SHA224
+ }),
+ new PreferredAlgorithms(SignatureSubpacketTags.PREFERRED_COMP_ALGS, true, new int[]{
+ CompressionAlgorithmTags.ZLIB,
+ CompressionAlgorithmTags.BZIP2,
+ CompressionAlgorithmTags.ZLIB
+ }),
+ new Features(false, Features.FEATURE_MODIFICATION_DETECTION),
+ // can't do keyserver prefs
+ };
+ SignatureSubpacket[] unhashedData = new SignatureSubpacket[]{
+ new IssuerKeyID(true, new BigInteger("15130BCF071AE6BF", 16).toByteArray())
+ };
+ byte[] fingerPrint = new BigInteger("522c", 16).toByteArray();
+ MPInteger[] signature = new MPInteger[]{
+ new MPInteger(new BigInteger(
+ "b065c071d3439d5610eb22e5b4df9e42" +
+ "ed78b8c94f487389e4fc98e8a75a043f" +
+ "14bf57d591811e8e7db2d31967022d2e" +
+ "e64372829183ec51d0e20c42d7a1e519" +
+ "e9fa22cd9db90f0fd7094fd093b78be2" +
+ "c0db62022193517404d749152c71edc6" +
+ "fd48af3416038d8842608ecddebbb11c" +
+ "5823a4321d2029b8993cb017fa8e5ad7" +
+ "8a9a618672d0217c4b34002f1a4a7625" +
+ "a514b6a86475e573cb87c64d7069658e" +
+ "627f2617874007a28d525e0f87d93ca7" +
+ "b15ad10dbdf10251e542afb8f9b16cbf" +
+ "7bebdb5fe7e867325a44e59cad0991cb" +
+ "239b1c859882e2ebb041b80e5cdc3b40" +
+ "ed259a8a27d63869754c0881ccdcb50f" +
+ "0564fecdc6966be4a4b87a3507a9d9be", 16
+ ))
+ };
+ return new SignaturePacket(signatureType,
+ keyID,
+ keyAlgorithm,
+ hashAlgorithm,
+ hashedData,
+ unhashedData,
+ fingerPrint,
+ signature);
+ }
+
+ private static PGPPublicKey createPgpPublicKey(BigInteger modulus, Date date) throws PGPException {
+ PublicKeyPacket publicKeyPacket = new PublicKeyPacket(PublicKeyAlgorithmTags.RSA_SIGN, date, new RSAPublicBCPGKey(modulus, exponent));
+ return new PGPPublicKey(
+ publicKeyPacket, new BcKeyFingerprintCalculator());
+ }
+
+ private static UserIDPacket createUserId(String userId) {
+ return new UserIDPacket(userId);
+ }
+
+}
diff --git a/OpenKeychain/src/main/java/org/sufficientlysecure/keychain/testsupport/TestDataUtil.java b/OpenKeychain/src/main/java/org/sufficientlysecure/keychain/testsupport/TestDataUtil.java
index 9e6ede761..338488e1f 100644
--- a/OpenKeychain/src/main/java/org/sufficientlysecure/keychain/testsupport/TestDataUtil.java
+++ b/OpenKeychain/src/main/java/org/sufficientlysecure/keychain/testsupport/TestDataUtil.java
@@ -4,6 +4,7 @@ import java.io.ByteArrayOutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.util.Collection;
+import java.util.Iterator;
/**
* Misc support functions. Would just use Guava / Apache Commons but
@@ -37,8 +38,71 @@ public class TestDataUtil {
return output.toByteArray();
}
-
public static InputStream getResourceAsStream(String resourceName) {
return TestDataUtil.class.getResourceAsStream(resourceName);
}
+
+ /**
+ * Null-safe equivalent of {@code a.equals(b)}.
+ */
+ public static boolean equals(Object a, Object b) {
+ return (a == null) ? (b == null) : a.equals(b);
+ }
+
+ public static <T> boolean iterEquals(Iterator<T> a, Iterator<T> b, EqualityChecker<T> comparator) {
+ while (a.hasNext()) {
+ T aObject = a.next();
+ if (!b.hasNext()) {
+ return false;
+ }
+ T bObject = b.next();
+ if (!comparator.areEquals(aObject, bObject)) {
+ return false;
+ }
+ }
+
+ if (b.hasNext()) {
+ return false;
+ }
+
+ return true;
+ }
+
+
+ public static <T> boolean iterEquals(Iterator<T> a, Iterator<T> b) {
+ return iterEquals(a, b, new EqualityChecker<T>() {
+ @Override
+ public boolean areEquals(T lhs, T rhs) {
+ return TestDataUtil.equals(lhs, rhs);
+ }
+ });
+ }
+
+ public static interface EqualityChecker<T> {
+ public boolean areEquals(T lhs, T rhs);
+ }
+
+ public static byte[] concatAll(byte[]... byteArrays) {
+ if (byteArrays.length == 1) {
+ return byteArrays[0];
+ } else if (byteArrays.length == 2) {
+ return concat(byteArrays[0], byteArrays[1]);
+ } else {
+ byte[] first = concat(byteArrays[0], byteArrays[1]);
+ byte[][] remainingArrays = new byte[byteArrays.length - 1][];
+ remainingArrays[0] = first;
+ System.arraycopy(byteArrays, 2, remainingArrays, 1, byteArrays.length - 2);
+ return concatAll(remainingArrays);
+ }
+ }
+
+ private static byte[] concat(byte[] a, byte[] b) {
+ int aLen = a.length;
+ int bLen = b.length;
+ byte[] c = new byte[aLen + bLen];
+ System.arraycopy(a, 0, c, 0, aLen);
+ System.arraycopy(b, 0, c, aLen, bLen);
+ return c;
+ }
+
}
diff --git a/OpenKeychain/src/main/java/org/sufficientlysecure/keychain/testsupport/UncachedKeyringTestingHelper.java b/OpenKeychain/src/main/java/org/sufficientlysecure/keychain/testsupport/UncachedKeyringTestingHelper.java
new file mode 100644
index 000000000..e0580a86a
--- /dev/null
+++ b/OpenKeychain/src/main/java/org/sufficientlysecure/keychain/testsupport/UncachedKeyringTestingHelper.java
@@ -0,0 +1,278 @@
+package org.sufficientlysecure.keychain.testsupport;
+
+import org.spongycastle.bcpg.BCPGKey;
+import org.spongycastle.bcpg.PublicKeyAlgorithmTags;
+import org.spongycastle.bcpg.PublicKeyPacket;
+import org.spongycastle.bcpg.RSAPublicBCPGKey;
+import org.spongycastle.bcpg.SignatureSubpacket;
+import org.spongycastle.openpgp.PGPException;
+import org.spongycastle.openpgp.PGPPublicKey;
+import org.spongycastle.openpgp.PGPPublicKeyRing;
+import org.spongycastle.openpgp.PGPSignature;
+import org.spongycastle.openpgp.PGPSignatureSubpacketVector;
+import org.spongycastle.openpgp.PGPUserAttributeSubpacketVector;
+import org.spongycastle.openpgp.operator.bc.BcKeyFingerprintCalculator;
+import org.sufficientlysecure.keychain.pgp.UncachedKeyRing;
+import org.sufficientlysecure.keychain.pgp.UncachedPublicKey;
+
+import java.math.BigInteger;
+import java.util.Arrays;
+import java.util.Date;
+
+/**
+ * Created by art on 28/06/14.
+ */
+public class UncachedKeyringTestingHelper {
+
+ public static boolean compareRing(UncachedKeyRing keyRing1, UncachedKeyRing keyRing2) {
+ return TestDataUtil.iterEquals(keyRing1.getPublicKeys(), keyRing2.getPublicKeys(), new
+ TestDataUtil.EqualityChecker<UncachedPublicKey>() {
+ @Override
+ public boolean areEquals(UncachedPublicKey lhs, UncachedPublicKey rhs) {
+ return comparePublicKey(lhs, rhs);
+ }
+ });
+ }
+
+ public static boolean comparePublicKey(UncachedPublicKey key1, UncachedPublicKey key2) {
+ boolean equal = true;
+
+ if (key1.canAuthenticate() != key2.canAuthenticate()) {
+ return false;
+ }
+ if (key1.canCertify() != key2.canCertify()) {
+ return false;
+ }
+ if (key1.canEncrypt() != key2.canEncrypt()) {
+ return false;
+ }
+ if (key1.canSign() != key2.canSign()) {
+ return false;
+ }
+ if (key1.getAlgorithm() != key2.getAlgorithm()) {
+ return false;
+ }
+ if (key1.getBitStrength() != key2.getBitStrength()) {
+ return false;
+ }
+ if (!TestDataUtil.equals(key1.getCreationTime(), key2.getCreationTime())) {
+ return false;
+ }
+ if (!TestDataUtil.equals(key1.getExpiryTime(), key2.getExpiryTime())) {
+ return false;
+ }
+ if (!Arrays.equals(key1.getFingerprint(), key2.getFingerprint())) {
+ return false;
+ }
+ if (key1.getKeyId() != key2.getKeyId()) {
+ return false;
+ }
+ if (key1.getKeyUsage() != key2.getKeyUsage()) {
+ return false;
+ }
+ if (!TestDataUtil.equals(key1.getPrimaryUserId(), key2.getPrimaryUserId())) {
+ return false;
+ }
+
+ // Ooops, getPublicKey is due to disappear. But then how to compare?
+ if (!keysAreEqual(key1.getPublicKey(), key2.getPublicKey())) {
+ return false;
+ }
+
+ return equal;
+ }
+
+ public static boolean keysAreEqual(PGPPublicKey a, PGPPublicKey b) {
+
+ if (a.getAlgorithm() != b.getAlgorithm()) {
+ return false;
+ }
+
+ if (a.getBitStrength() != b.getBitStrength()) {
+ return false;
+ }
+
+ if (!TestDataUtil.equals(a.getCreationTime(), b.getCreationTime())) {
+ return false;
+ }
+
+ if (!Arrays.equals(a.getFingerprint(), b.getFingerprint())) {
+ return false;
+ }
+
+ if (a.getKeyID() != b.getKeyID()) {
+ return false;
+ }
+
+ if (!pubKeyPacketsAreEqual(a.getPublicKeyPacket(), b.getPublicKeyPacket())) {
+ return false;
+ }
+
+ if (a.getVersion() != b.getVersion()) {
+ return false;
+ }
+
+ if (a.getValidDays() != b.getValidDays()) {
+ return false;
+ }
+
+ if (a.getValidSeconds() != b.getValidSeconds()) {
+ return false;
+ }
+
+ if (!Arrays.equals(a.getTrustData(), b.getTrustData())) {
+ return false;
+ }
+
+ if (!TestDataUtil.iterEquals(a.getUserIDs(), b.getUserIDs())) {
+ return false;
+ }
+
+ if (!TestDataUtil.iterEquals(a.getUserAttributes(), b.getUserAttributes(),
+ new TestDataUtil.EqualityChecker<PGPUserAttributeSubpacketVector>() {
+ public boolean areEquals(PGPUserAttributeSubpacketVector lhs, PGPUserAttributeSubpacketVector rhs) {
+ // For once, BC defines equals, so we use it implicitly.
+ return TestDataUtil.equals(lhs, rhs);
+ }
+ }
+ )) {
+ return false;
+ }
+
+
+ if (!TestDataUtil.iterEquals(a.getSignatures(), b.getSignatures(),
+ new TestDataUtil.EqualityChecker<PGPSignature>() {
+ public boolean areEquals(PGPSignature lhs, PGPSignature rhs) {
+ return signaturesAreEqual(lhs, rhs);
+ }
+ }
+ )) {
+ return false;
+ }
+
+ return true;
+ }
+
+ public static boolean signaturesAreEqual(PGPSignature a, PGPSignature b) {
+
+ if (a.getVersion() != b.getVersion()) {
+ return false;
+ }
+
+ if (a.getKeyAlgorithm() != b.getKeyAlgorithm()) {
+ return false;
+ }
+
+ if (a.getHashAlgorithm() != b.getHashAlgorithm()) {
+ return false;
+ }
+
+ if (a.getSignatureType() != b.getSignatureType()) {
+ return false;
+ }
+
+ try {
+ if (!Arrays.equals(a.getSignature(), b.getSignature())) {
+ return false;
+ }
+ } catch (PGPException ex) {
+ throw new RuntimeException(ex);
+ }
+
+ if (a.getKeyID() != b.getKeyID()) {
+ return false;
+ }
+
+ if (!TestDataUtil.equals(a.getCreationTime(), b.getCreationTime())) {
+ return false;
+ }
+
+ if (!Arrays.equals(a.getSignatureTrailer(), b.getSignatureTrailer())) {
+ return false;
+ }
+
+ if (!subPacketVectorsAreEqual(a.getHashedSubPackets(), b.getHashedSubPackets())) {
+ return false;
+ }
+
+ if (!subPacketVectorsAreEqual(a.getUnhashedSubPackets(), b.getUnhashedSubPackets())) {
+ return false;
+ }
+
+ return true;
+ }
+
+ private static boolean subPacketVectorsAreEqual(PGPSignatureSubpacketVector aHashedSubPackets, PGPSignatureSubpacketVector bHashedSubPackets) {
+ for (int i = 0; i < Byte.MAX_VALUE; i++) {
+ if (!TestDataUtil.iterEquals(Arrays.asList(aHashedSubPackets.getSubpackets(i)).iterator(),
+ Arrays.asList(bHashedSubPackets.getSubpackets(i)).iterator(),
+ new TestDataUtil.EqualityChecker<SignatureSubpacket>() {
+ @Override
+ public boolean areEquals(SignatureSubpacket lhs, SignatureSubpacket rhs) {
+ return signatureSubpacketsAreEqual(lhs, rhs);
+ }
+ }
+ )) {
+ return false;
+ }
+
+ }
+ return true;
+ }
+
+ private static boolean signatureSubpacketsAreEqual(SignatureSubpacket lhs, SignatureSubpacket rhs) {
+ if (lhs.getType() != rhs.getType()) {
+ return false;
+ }
+ if (!Arrays.equals(lhs.getData(), rhs.getData())) {
+ return false;
+ }
+ return true;
+ }
+
+ public static boolean pubKeyPacketsAreEqual(PublicKeyPacket a, PublicKeyPacket b) {
+
+ if (a.getAlgorithm() != b.getAlgorithm()) {
+ return false;
+ }
+
+ if (!bcpgKeysAreEqual(a.getKey(), b.getKey())) {
+ return false;
+ }
+
+ if (!TestDataUtil.equals(a.getTime(), b.getTime())) {
+ return false;
+ }
+
+ if (a.getValidDays() != b.getValidDays()) {
+ return false;
+ }
+
+ if (a.getVersion() != b.getVersion()) {
+ return false;
+ }
+
+ return true;
+ }
+
+ public static boolean bcpgKeysAreEqual(BCPGKey a, BCPGKey b) {
+
+ if (!TestDataUtil.equals(a.getFormat(), b.getFormat())) {
+ return false;
+ }
+
+ if (!Arrays.equals(a.getEncoded(), b.getEncoded())) {
+ return false;
+ }
+
+ return true;
+ }
+
+
+ public void doTestCanonicalize(UncachedKeyRing inputKeyRing, UncachedKeyRing expectedKeyRing) {
+ if (!compareRing(inputKeyRing, expectedKeyRing)) {
+ throw new AssertionError("Expected [" + inputKeyRing + "] to match [" + expectedKeyRing + "]");
+ }
+ }
+
+}
diff --git a/OpenKeychain/src/test/java/tests/UncachedKeyringTest.java b/OpenKeychain/src/test/java/tests/UncachedKeyringTest.java
new file mode 100644
index 000000000..05a9c23ef
--- /dev/null
+++ b/OpenKeychain/src/test/java/tests/UncachedKeyringTest.java
@@ -0,0 +1,37 @@
+package tests;
+
+import org.junit.Assert;
+import org.junit.Test;
+import org.junit.runner.RunWith;
+import org.robolectric.*;
+import org.sufficientlysecure.keychain.pgp.UncachedKeyRing;
+import org.sufficientlysecure.keychain.testsupport.*;
+import org.sufficientlysecure.keychain.testsupport.KeyringBuilder;
+import org.sufficientlysecure.keychain.testsupport.TestDataUtil;
+
+@RunWith(RobolectricTestRunner.class)
+@org.robolectric.annotation.Config(emulateSdk = 18) // Robolectric doesn't yet support 19
+public class UncachedKeyringTest {
+
+ @Test
+ public void testVerifySuccess() throws Exception {
+ UncachedKeyRing expectedKeyRing = KeyringBuilder.ring2();
+// Uncomment to prove it's working - the createdDate will then be different
+// Thread.sleep(1500);
+ UncachedKeyRing inputKeyRing = KeyringBuilder.ring1();
+ new UncachedKeyringTestingHelper().doTestCanonicalize(
+ inputKeyRing, expectedKeyRing);
+ }
+
+ /**
+ * Just testing my own test code. Should really be using a library for this.
+ */
+ @Test
+ public void testConcat() throws Exception {
+ byte[] actual = TestDataUtil.concatAll(new byte[]{1}, new byte[]{2,-2}, new byte[]{5},new byte[]{3});
+ byte[] expected = new byte[]{1,2,-2,5,3};
+ Assert.assertEquals(java.util.Arrays.toString(expected), java.util.Arrays.toString(actual));
+ }
+
+
+}