private void RunFuzzedTest(bool useSubgroupConstruction, string hashFunction, int numberOfAttributes, bool supportDevice, int numberOfTokens, int[] dArray, int[] cArray, int pseudonymIndex)
        {
            // Issuer setup
            IssuerSetupParameters isp = new IssuerSetupParameters();
            isp.GroupConstruction = useSubgroupConstruction ? GroupType.Subgroup : GroupType.ECC;
            isp.UidP = GetRandomBytes(MaxByteArrayLength);
            isp.UidH = hashFunction;
            isp.E = IssuerSetupParameters.GetDefaultEValues(numberOfAttributes);
            isp.S = GetRandomBytes(MaxByteArrayLength);
            IssuerKeyAndParameters ikap = isp.Generate(supportDevice);
            IssuerParameters ip = ikap.IssuerParameters;
            ip.Verify();

            IDevice device = null;
            GroupElement hd = null;
            if (supportDevice)
            {
                device = new VirtualDevice(ip);
                hd = device.GetDevicePublicKey();
            }

            // Issuance
            byte[][] attributes = new byte[numberOfAttributes][];
            for (int index = 0; index < numberOfAttributes; index++)
            {
                attributes[index] = GetRandomBytes(MaxByteArrayLength);
            }
            byte[] tokenInformation = GetRandomBytes(MaxByteArrayLength);
            byte[] proverInformation = GetRandomBytes(MaxByteArrayLength);

            IssuerProtocolParameters ipp = new IssuerProtocolParameters(ikap);
            ipp.Attributes = attributes;
            ipp.NumberOfTokens = numberOfTokens;
            ipp.TokenInformation = tokenInformation;
            ipp.DevicePublicKey = hd;
            Issuer issuer = ipp.CreateIssuer();

            string msg1 = ip.Serialize(issuer.GenerateFirstMessage());
                                
            ProverProtocolParameters ppp = new ProverProtocolParameters(ip);
            ppp.Attributes = attributes;
            ppp.NumberOfTokens = numberOfTokens;
            ppp.TokenInformation = tokenInformation;
            ppp.ProverInformation = proverInformation;
            ppp.DevicePublicKey = hd;
            Prover prover = ppp.CreateProver();
            string msg2 = ip.Serialize(prover.GenerateSecondMessage(ip.Deserialize<FirstIssuanceMessage>(msg1)));
            string msg3 = ip.Serialize(issuer.GenerateThirdMessage(ip.Deserialize<SecondIssuanceMessage>(msg2)));
            // issue token
            UProveKeyAndToken[] upkt = prover.GenerateTokens(ip.Deserialize<ThirdIssuanceMessage>(msg3));

            // Presentation
            byte[] message = GetRandomBytes(MaxByteArrayLength);
            byte[] deviceMessage = null;
            IDevicePresentationContext deviceContext = null;
            if (supportDevice)
            {
                deviceMessage = GetRandomBytes(MaxByteArrayLength);
                deviceContext = device.GetPresentationContext();
            }
            int tokenIndex = random.Next(upkt.Length);

            // generate the presentation proof
            PresentationProof proof = PresentationProof.Generate(ip, dArray, message, deviceMessage, deviceContext, upkt[tokenIndex], attributes);

            // verify the presentation proof
            proof.Verify(ip, dArray, message, deviceMessage, upkt[tokenIndex].Token);

        }
        public void TestEndToEnd()
        {
            Random random = new Random();
            int attributeLength = 10;
            foreach (GroupType groupConstruction in groupConstructions)
            {
                foreach (string hashFunction in supportedHashFunctions)
                {
                    //Console.WriteLine("Hash = " + hashFunction);
                    for (int numberOfAttribs = 0; numberOfAttribs <= 3; numberOfAttribs++)
                    {
                        //Console.WriteLine("NumberOfAttribs = " + numberOfAttribs);
                        for (int e = 0; e <= 1; e++)
                        {
                            foreach (bool supportDevice in new bool[] { false, true })
                            {
                                // Issuer setup
                                IssuerSetupParameters isp = new IssuerSetupParameters();
                                isp.GroupConstruction = groupConstruction;
                                isp.UidP = encoding.GetBytes("unique UID");
                                isp.UidH = hashFunction;
                                isp.E = new byte[numberOfAttribs];
                                for (int i = 0; i < numberOfAttribs; i++)
                                {
                                    isp.E[i] = (byte)e;
                                }
                                isp.S = encoding.GetBytes("specification");
                                IssuerKeyAndParameters ikap = isp.Generate(supportDevice);
                                IssuerParameters ip = ikap.IssuerParameters;
                                ip.Verify();

                                IDevice device = null;
                                GroupElement hd = null;
                                if (supportDevice)
                                {
                                    device = new VirtualDevice(ip);
                                    hd = device.GetDevicePublicKey();
                                }

                                // Issuance
                                byte[][] attributes = new byte[numberOfAttribs][];
                                for (int index = 0; index < numberOfAttribs; index++)
                                {
                                    attributes[index] = new byte[attributeLength];
                                    random.NextBytes(attributes[index]);
                                }
                                byte[] tokenInformation = encoding.GetBytes("token information");
                                byte[] proverInformation = encoding.GetBytes("prover information");
                                int numberOfTokens = (int)Math.Pow(2, numberOfAttribs);

                                IssuerProtocolParameters ipp = new IssuerProtocolParameters(ikap);
                                ipp.Attributes = attributes;
                                ipp.NumberOfTokens = numberOfTokens;
                                ipp.TokenInformation = tokenInformation;
                                ipp.DevicePublicKey = hd;
                                Issuer issuer = ipp.CreateIssuer();
                                FirstIssuanceMessage msg1 = issuer.GenerateFirstMessage();
                                ProverProtocolParameters ppp = new ProverProtocolParameters(ip);
                                ppp.Attributes = attributes;
                                ppp.NumberOfTokens = numberOfTokens;
                                ppp.TokenInformation = tokenInformation;
                                ppp.ProverInformation = proverInformation;
                                ppp.DevicePublicKey = hd;
                                Prover prover = ppp.CreateProver();
                                SecondIssuanceMessage msg2 = prover.GenerateSecondMessage(msg1);
                                ThirdIssuanceMessage msg3 = issuer.GenerateThirdMessage(msg2);
                                // issue token
                                UProveKeyAndToken[] upkt = prover.GenerateTokens(msg3);

                                // Presentation
                                for (int i = 0; i < numberOfTokens; i++)
                                {
                                    List<int> disclosedList = new List<int>();
                                    //Console.Write("Disclosed list = ");
                                    for (int index = 0; index < numberOfAttribs; index++)
                                    {
                                        if ((((int)Math.Pow(2, index)) & i) != 0)
                                        {
                                            //Console.Write((index + 1) + ", ");
                                            disclosedList.Add(index + 1);
                                        }
                                    }
                                    //Console.WriteLine();

                                    int[] disclosed = disclosedList.ToArray();
                                    byte[] message = encoding.GetBytes("message");
                                    byte[] deviceMessage = null;
                                    IDevicePresentationContext deviceContext = null;
                                    if (supportDevice)
                                    {
                                        deviceMessage = encoding.GetBytes("message");
                                        deviceContext = device.GetPresentationContext();
                                    }

                                    // generate the presentation proof
                                    PresentationProof proof = PresentationProof.Generate(ip, disclosed, message, deviceMessage, deviceContext, upkt[i], attributes);

                                    // verify the presentation proof
                                    proof.Verify(ip, disclosed, message, deviceMessage, upkt[i].Token);

                                    //
                                    // negative cases
                                    //
                                    if (numberOfAttribs > 0)
                                    {
                                        // modify issuer params (change specification);
                                        IssuerParameters ip2 = new IssuerParameters(ip.UidP, ip.Gq, ip.UidH, ip.G, ip.Gd, ip.E, ip.S, ip.UsesRecommendedParameters);
                                        ip2.S = encoding.GetBytes("wrong issuer params");
                                        try { proof.Verify(ip2, disclosed, message, null, upkt[i].Token); Assert.Fail(); }
                                        catch (InvalidUProveArtifactException) { }

                                        // modify disclosed list
                                        int[] disclosed2;
                                        if (disclosed.Length == 0)
                                        {
                                            disclosed2 = new int[] { 1 };
                                        }
                                        else
                                        {
                                            disclosed2 = new int[] { };
                                        }
                                        try { proof.Verify(ip, disclosed2, message, deviceMessage, upkt[i].Token); Assert.Fail(); }
                                        catch (InvalidUProveArtifactException) { }

                                        // modify message
                                        try { proof.Verify(ip, disclosed, encoding.GetBytes("wrong message"), deviceMessage, upkt[i].Token); Assert.Fail(); }
                                        catch (InvalidUProveArtifactException) { }

                                        // modify token
                                        try { proof.Verify(ip, disclosed, message, deviceMessage, upkt[(i + 1) % numberOfTokens].Token); Assert.Fail(); }
                                        catch (InvalidUProveArtifactException) { }

                                        // modify proof
                                        proof.A = encoding.GetBytes("wrong proof");
                                        try { proof.Verify(ip, disclosed, message, deviceMessage, upkt[i].Token); Assert.Fail(); }
                                        catch (InvalidUProveArtifactException) { }
                                    }
                                }
                            }
                        }
                    }
                }
            }
        }
Example #3
0
        /// <summary>
        /// This sample illustrates how to issue and present device-protected U-Prove tokens.
        /// </summary>
        public static void DeviceSample()
        {

            WriteLine("U-Prove SDK Device Sample");

            /*
             *  issuer setup
             */

            IssuerKeyAndParameters ikap = SetupUProveIssuer("sample device-protected issuer", 3, GroupType.ECC, true);
            string ipJSON = ikap.IssuerParameters.Serialize();

            // the IssuerParameters instance needs to be distributed to the Prover, Device, and Verifier.
            // Each needs to verify the parameters before using them
            IssuerParameters ip = new IssuerParameters(ipJSON);
            ip.Verify();


            /*
             * device provisioning
             */

            // generate a new device
            IDevice device = new VirtualDevice(ip);
            // get the device public key
            GroupElement hd = device.GetDevicePublicKey();


            /*
             *  token issuance
             */

            // specify the attribute values
            byte[][] attributes = new byte[][] {
                    encoding.GetBytes("first attribute value"),
                    encoding.GetBytes("second attribute value"),
                    encoding.GetBytes("third attribute value"),
            };
            // specify the special field values
            byte[] tokenInformation = encoding.GetBytes("token information value");
            byte[] proverInformation = encoding.GetBytes("prover information value");
            // specify the number of tokens to issue
            int numberOfTokens = 5;

            UProveKeyAndToken[] upkt = IssueUProveTokens(ikap, ip, attributes, numberOfTokens, tokenInformation, proverInformation);


            /*
             *  token presentation
             */

            // the indices of disclosed attributes
            int[] disclosed = new int[] { 2 };
            // the application-specific messages that the prover and device will sign, respectively. Typically this 
            // is a nonce combined with any application-specific transaction data to be signed.
            byte[] message = encoding.GetBytes("message");
            byte[] deviceMessage = encoding.GetBytes("message for device");

            PresentUProveToken(ip, upkt[0], attributes, disclosed, null, message, null, device, deviceMessage);

            WriteLine("Sample completed.\n*************************************************************\n");
        }
        public void DevicePseudonymTest()
        {
            // Issuer setup
            IssuerSetupParameters isp = new IssuerSetupParameters();
            isp.UidP = new byte[] { 1, 2, 3, 4, 5, 6, 7, 8, 9 };
            isp.E = new byte[] { (byte)1, (byte)1, (byte)1, (byte)1 };
            isp.UseRecommendedParameterSet = true;
            isp.S = new byte[] { 1, 2, 3, 4, 5, 6, 7, 8, 9 };
            IssuerKeyAndParameters ikap = isp.Generate(true);
            IssuerParameters ip = ikap.IssuerParameters;

            // Issuance
            byte[][] attributes = new byte[][] { encoding.GetBytes("Attribute 1"), encoding.GetBytes("Attribute 2"), encoding.GetBytes("Attribute 3"), encoding.GetBytes("Attribute 4") };
            byte[] tokenInformation = new byte[] { };
            byte[] proverInformation = new byte[] { };
            int numberOfTokens = 1;

            IDevice device = new VirtualDevice(ip);
            GroupElement hd = device.GetDevicePublicKey();

            IssuerProtocolParameters ipp = new IssuerProtocolParameters(ikap);
            ipp.Attributes = attributes;
            ipp.NumberOfTokens = numberOfTokens;
            ipp.TokenInformation = tokenInformation;
            ipp.DevicePublicKey = hd;
            Issuer issuer = ipp.CreateIssuer();
            FirstIssuanceMessage msg1 = issuer.GenerateFirstMessage();
            ProverProtocolParameters ppp = new ProverProtocolParameters(ip);
            ppp.Attributes = attributes;
            ppp.NumberOfTokens = numberOfTokens;
            ppp.TokenInformation = tokenInformation;
            ppp.ProverInformation = proverInformation;
            ppp.DevicePublicKey = hd;
            Prover prover = ppp.CreateProver();
            SecondIssuanceMessage msg2 = prover.GenerateSecondMessage(msg1);
            ThirdIssuanceMessage msg3 = issuer.GenerateThirdMessage(msg2);
            UProveKeyAndToken[] upkt = prover.GenerateTokens(msg3);

            // Pseudonym
            int[] disclosed = new int[0];
            byte[] message = encoding.GetBytes("this is the presentation message, this can be a very long message");
            byte[] messageForDevice = encoding.GetBytes("message for Device");
            byte[] scope = encoding.GetBytes("scope");
            PresentationProof proof;
            FieldZqElement[] tildeO;

            // Valid presentation
            IDevicePresentationContext deviceCtx = device.GetPresentationContext();
            proof = PresentationProof.Generate(ip, disclosed, null, PresentationProof.DeviceAttributeIndex, scope, message, messageForDevice, deviceCtx, upkt[0], attributes, out tildeO); 
            proof.Verify(ip, disclosed, null, PresentationProof.DeviceAttributeIndex, scope, message, messageForDevice, upkt[0].Token);

            // Invalid pseudonym (wrong scope)
            deviceCtx = device.GetPresentationContext();
            proof = PresentationProof.Generate(ip, disclosed, null, PresentationProof.DeviceAttributeIndex, scope, message, messageForDevice, deviceCtx, upkt[0], attributes, out tildeO);
            try { proof.Verify(ip, disclosed, null, PresentationProof.DeviceAttributeIndex, encoding.GetBytes("bad scope"), message, messageForDevice, upkt[0].Token); Assert.Fail(); }
            catch (InvalidUProveArtifactException) { }

            // Ensure tildeO is correct, in this case it should be empty because there are no comitted attributes
            Assert.IsTrue(tildeO == null || tildeO.Length == 0);
        }
        public void ProtocolTest()
        {
            Stopwatch sw = new Stopwatch();
            sw.Start();
            bool[] bools = new bool[] { true, false };
            foreach (bool isSubgroupConstruction in bools)
            {
                foreach (bool supportDevice in bools)
                {
                    var vectors =
                        supportDevice ?
                        (isSubgroupConstruction ?
                            GetTestVectors("testvectorssubgroup_Device_doc.txt")
                            :
                            GetTestVectors("testvectorsEC_Device_doc.txt"))
                        :
                        (isSubgroupConstruction ?
                            GetTestVectors("testvectorssubgroup_doc.txt")
                            :
                            GetTestVectors("testvectorsEC_doc.txt"));

                    IssuerKeyAndParameters ikap = LoadIssuerKeyAndParameters(isSubgroupConstruction, vectors["GroupName"], supportDevice, vectors);
                    FieldZq Zq = ikap.IssuerParameters.Zq;
                    // replace random y0/g0 with test vector values
                    ikap.PrivateKey = Zq.GetElement(HexToBytes(vectors["y0"]));
                    ikap.IssuerParameters.G[0] = CreateGroupElement(ikap.IssuerParameters.Gq, vectors["g0"]);
                    Assert.AreEqual(ikap.IssuerParameters.G[0], ikap.IssuerParameters.Gq.G.Exponentiate(ikap.PrivateKey), "g0 computation");
                    IssuerParameters ip = ikap.IssuerParameters;
                    ip.Verify();

                    /*
                     * issuance
                     */

                    byte[][] A = new byte[][] {
                        HexToBytes(vectors["A1"]), 
                        HexToBytes(vectors["A2"]),
                        HexToBytes(vectors["A3"]),
                        HexToBytes(vectors["A4"]),
                        HexToBytes(vectors["A5"])
                        };

                    Assert.AreEqual(Zq.GetElement(HexToBytes(vectors["x1"])), ProtocolHelper.ComputeXi(ip, 0, A[0]), "x1");
                    Assert.AreEqual(Zq.GetElement(HexToBytes(vectors["x2"])), ProtocolHelper.ComputeXi(ip, 1, A[1]), "x2");
                    Assert.AreEqual(Zq.GetElement(HexToBytes(vectors["x3"])), ProtocolHelper.ComputeXi(ip, 2, A[2]), "x3");
                    Assert.AreEqual(Zq.GetElement(HexToBytes(vectors["x4"])), ProtocolHelper.ComputeXi(ip, 3, A[3]), "x4");
                    Assert.AreEqual(Zq.GetElement(HexToBytes(vectors["x5"])), ProtocolHelper.ComputeXi(ip, 4, A[4]), "x5");

                    byte[] TI = HexToBytes(vectors["TI"]);
                    Assert.IsTrue(HexToBytes(vectors["P"]).SequenceEqual(ip.Digest(supportDevice)), "P");
                    Assert.AreEqual(Zq.GetElement(HexToBytes(vectors["xt"])), ProtocolHelper.ComputeXt(ip, TI, supportDevice), "xt");

                    IDevice device = null;
                    GroupElement hd = null;
                    if (supportDevice)
                    {
                        device = new VirtualDevice(ip, Zq.GetElement(HexToBytes(vectors["xd"])), Zq.GetElement(HexToBytes(vectors["wdPrime"])));
                        IDevicePresentationContext context = device.GetPresentationContext();
                        // Test device responses
                        Assert.AreEqual(CreateGroupElement(ip.Gq, vectors["hd"]), device.GetDevicePublicKey(), "hd");
                        Assert.AreEqual(CreateGroupElement(ip.Gq, vectors["ad"]), context.GetInitialWitness(), "ad");
                        Assert.AreEqual(Zq.GetElement(HexToBytes(vectors["rdPrime"])), context.GetDeviceResponse(HexToBytes(vectors["md"]), HexToBytes(vectors["mdPrime"]), ip.HashFunctionOID), "rdPrime");
                        hd = CreateGroupElement(ip.Gq, vectors["hd"]);
                    }

                    IssuerProtocolParameters ipp = new IssuerProtocolParameters(ikap);
                    ipp.Attributes = A;
                    ipp.NumberOfTokens = 1;
                    ipp.TokenInformation = TI;
                    ipp.DevicePublicKey = hd;
                    ipp.PreGeneratedW = new FieldZqElement[] { Zq.GetElement(HexToBytes(vectors["w"])) };
                    Issuer issuer = ipp.CreateIssuer();
                    byte[] PI = HexToBytes(vectors["PI"]);

                    ProverProtocolParameters ppp = new ProverProtocolParameters(ip);
                    ppp.Attributes = A;
                    ppp.NumberOfTokens = 1;
                    ppp.TokenInformation = TI;
                    ppp.ProverInformation = PI;
                    ppp.DevicePublicKey = hd;
                    ppp.ProverRandomData = new ProverRandomData(
                        new FieldZqElement[] { Zq.GetElement(HexToBytes(vectors["alpha"])) },
                        new FieldZqElement[] { Zq.GetElement(HexToBytes(vectors["beta1"])) },
                        new FieldZqElement[] { Zq.GetElement(HexToBytes(vectors["beta2"])) });
                    Prover prover = ppp.CreateProver();

                    FirstIssuanceMessage msg1 = issuer.GenerateFirstMessage();
                    Assert.AreEqual(msg1.sigmaZ, CreateGroupElement(ip.Gq, vectors["sigmaZ"]), "sigmaZ");
                    Assert.AreEqual(msg1.sigmaA[0], CreateGroupElement(ip.Gq, vectors["sigmaA"]), "sigmaA");
                    Assert.AreEqual(msg1.sigmaB[0], CreateGroupElement(ip.Gq, vectors["sigmaB"]), "sigmaB");

                    SecondIssuanceMessage msg2 = prover.GenerateSecondMessage(msg1);
                    Assert.AreEqual(msg2.sigmaC[0], Zq.GetElement(HexToBytes(vectors["sigmaC"])), "sigmaC");

                    ThirdIssuanceMessage msg3 = issuer.GenerateThirdMessage(msg2);
                    Assert.AreEqual(msg3.sigmaR[0], Zq.GetElement(HexToBytes(vectors["sigmaR"])), "sigmaR");

                    UProveKeyAndToken[] upkt = prover.GenerateTokens(msg3);
                    Assert.AreEqual(upkt[0].PrivateKey, Zq.GetElement(HexToBytes(vectors["alphaInverse"])), "alphaInverse");
                    UProveToken token = upkt[0].Token;
                    Assert.AreEqual(token.H, CreateGroupElement(ip.Gq, vectors["h"]), "h");
                    Assert.AreEqual(token.SigmaZPrime, CreateGroupElement(ip.Gq, vectors["sigmaZPrime"]), "sigmaZPrime");
                    Assert.AreEqual(token.SigmaCPrime, Zq.GetElement(HexToBytes(vectors["sigmaCPrime"])), "sigmaCPrime");
                    Assert.AreEqual(token.SigmaRPrime, Zq.GetElement(HexToBytes(vectors["sigmaRPrime"])), "sigmaRPrime");
                    Assert.IsTrue(HexToBytes(vectors["UIDt"]).SequenceEqual(ProtocolHelper.ComputeTokenID(ip, token)), "UIDt");
                    Assert.IsTrue(supportDevice == token.IsDeviceProtected);

                    /*
                     * presentation
                     */

                    int[] disclosed = Array.ConvertAll<string, int>(vectors["D"].Split(','), new Converter<string, int>(stringToInt));
                    int[] committed = Array.ConvertAll<string, int>(vectors["C"].Split(','), new Converter<string, int>(stringToInt));
                    byte[] m = HexToBytes(vectors["m"]);
                    byte[] md = null;
                    IDevicePresentationContext deviceContext = null;
                    if (supportDevice)
                    {
                        md = HexToBytes(vectors["md"]);
                        deviceContext = device.GetPresentationContext();
                    }
                    int p;
                    if (!int.TryParse(vectors["p"], out p))
                    {
                        p = PresentationProof.DeviceAttributeIndex;
                    }
                    byte[] s = HexToBytes(vectors["s"]);
                    int commitmentIndex = committed[0];
                    ProverPresentationProtocolParameters pppp = new ProverPresentationProtocolParameters(ip, disclosed, m, upkt[0], A);
                    pppp.Committed = committed;
                    pppp.PseudonymAttributeIndex = p;
                    pppp.PseudonymScope = s;
                    pppp.DeviceMessage = md;
                    pppp.DeviceContext = deviceContext;
                    pppp.RandomData = new ProofGenerationRandomData(
                            Zq.GetElement(HexToBytes(vectors["w0"])),
                            new FieldZqElement[] { 
                                Zq.GetElement(HexToBytes(vectors["w1"])), 
                                Zq.GetElement(HexToBytes(vectors["w3"])),
                                Zq.GetElement(HexToBytes(vectors["w4"]))
                            },
                            supportDevice ? Zq.GetElement(HexToBytes(vectors["wd"])) : null,
                            new FieldZqElement[] { 
                                Zq.GetElement(HexToBytes(vectors["tildeO" + commitmentIndex])), 
                            },
                            new FieldZqElement[] { 
                                Zq.GetElement(HexToBytes(vectors["tildeW" + commitmentIndex]))
                            });
                    CommitmentPrivateValues cpv;
                    PresentationProof proof = PresentationProof.Generate(pppp, out cpv);
                    Assert.IsTrue(HexToBytes(vectors["a"]).SequenceEqual(proof.A), "a");
                    Assert.AreEqual(ProtocolHelper.GenerateScopeElement(ip.Gq, s), CreateGroupElement(ip.Gq, vectors["gs"]));
                    Assert.IsTrue(HexToBytes(vectors["ap"]).SequenceEqual(proof.Ap), "ap");
                    Assert.AreEqual(proof.Ps, CreateGroupElement(ip.Gq, vectors["Ps"]), "Ps");
                    Assert.IsTrue(HexToBytes(vectors["A2"]).SequenceEqual(proof.DisclosedAttributes[0]), "A2");
                    Assert.IsTrue(HexToBytes(vectors["A5"]).SequenceEqual(proof.DisclosedAttributes[1]), "A5");
                    Assert.AreEqual(proof.R[0], Zq.GetElement(HexToBytes(vectors["r0"])), "r0");
                    Assert.AreEqual(proof.R[1], Zq.GetElement(HexToBytes(vectors["r1"])), "r1");
                    Assert.AreEqual(proof.R[2], Zq.GetElement(HexToBytes(vectors["r3"])), "r3");
                    Assert.AreEqual(proof.R[3], Zq.GetElement(HexToBytes(vectors["r4"])), "r4");
                    if (supportDevice)
                    {
                        Assert.AreEqual(proof.R[4], Zq.GetElement(HexToBytes(vectors["rd"])), "rd");
                    }
                    Assert.AreEqual(proof.Commitments[0].TildeR, Zq.GetElement(HexToBytes(vectors["tildeR" + commitmentIndex])), "tildeR" + commitmentIndex);
                    Assert.IsTrue(cpv.TildeO.Length == 1);
                    Assert.AreEqual(cpv.TildeO[0], Zq.GetElement(HexToBytes(vectors["tildeO" + commitmentIndex])), "tildeO" + commitmentIndex);
                    VerifierPresentationProtocolParameters vppp = new VerifierPresentationProtocolParameters(ip, disclosed, m, upkt[0].Token);
                    vppp.Committed = committed;
                    vppp.PseudonymAttributeIndex = p;
                    vppp.PseudonymScope = s;
                    vppp.DeviceMessage = md;
                    proof.Verify(vppp);

                }
            }

            sw.Stop();
            Debug.WriteLine("Protocol Test Elapsed Time: " + sw.ElapsedMilliseconds + "ms");
        }