SRP6.cpp

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/*
 * This file is part of the TrinityCore Project. See AUTHORS file for Copyright information
 *
 * This program is free software; you can redistribute it and/or modify it
 * under the terms of the GNU General Public License as published by the
 * Free Software Foundation; either version 2 of the License, or (at your
 * option) any later version.
 *
 * This program is distributed in the hope that it will be useful, but WITHOUT
 * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
 * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for
 * more details.
 *
 * You should have received a copy of the GNU General Public License along
 * with this program. If not, see <http://www.gnu.org/licenses/>.
 */
 
#include "SRP6.h"
#include "Common.h"
#include "CryptoRandom.h"
#include <algorithm>
#include <functional>
 
namespace Trinity::Crypto::SRP
{
BigNumber const GruntSRP6::N = "894B645E89E1535BBDAD5B8B290650530801B18EBFBF5E8FAB3C82872A3E9BB7"s;
BigNumber const GruntSRP6::g = 7;
 
BigNumber const BnetSRP6v1Base::N = "86A7F6DEEB306CE519770FE37D556F29944132554DED0BD68205E27F3231FEF5A10108238A3150C59CAF7B0B6478691C13A6ACF5E1B5ADAFD4A943D4A21A142B800E8A55F8BFBAC700EB77A7235EE5A609E350EA9FC19F10D921C2FA832E4461B7125D38D254A0BE873DFC27858ACB3F8B9F258461E4373BC3A6C2A9634324AB"s;
BigNumber const BnetSRP6v1Base::g = 2;
 
BigNumber const BnetSRP6v2Base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s;
BigNumber const BnetSRP6v2Base::g = 2;
 
SRP6::SRP6(BigNumber const& i, Salt const& salt, Verifier const& verifier, BigNumber const& N, BigNumber const& g, BigNumber const& k)
    : s(salt), I(i), b(CalculatePrivateB(N)), v(verifier), B(CalculatePublicB(N, g, k))
{
}
 
SRP6::SRP6(ForRegistrationTag)
    : s(GetRandomBytes<SALT_LENGTH>()), _used(true)
{
}
 
Optional<BigNumber> SRP6::VerifyClientEvidence(BigNumber const& A, BigNumber const& clientM1)
{
    ASSERT(!_used, "A single SRP6 object must only ever be used to verify ONCE!");
    _used = true;
 
    return DoVerifyClientEvidence(A, clientM1);
}
 
bool SRP6::CheckCredentials(std::string const& username, std::string const& password) const
{
    return v == CalculateVerifier(username, password, s);
}
 
BigNumber SRP6::CalculatePrivateB(BigNumber const& N)
{
    BigNumber b;
    b.SetRand(N.GetNumBits());
    b %= N - 1;
    return b;
}
 
BigNumber SRP6::CalculatePublicB(BigNumber const& N, BigNumber const& g, BigNumber const& k) const
{
    return (g.ModExp(b, N) + (v * k)) % N;
}
 
Verifier SRP6::CalculateVerifier(std::string const& username, std::string const& password, Salt const& salt) const
{
    // v = g ^ H(s || H(u || ':' || p)) mod N
    return Getg().ModExp(
        CalculateX(username, password, salt),
        GetN()
    ).ToByteVector();
}
 
GruntSRP6::GruntSRP6(std::string const& username, Salt const& salt, Verifier const& verifier)
    : SRP6(SHA1::GetDigestOf(username), salt, verifier, N, g, 3)
{
}
 
BigNumber GruntSRP6::CalculateServerEvidence(BigNumber const& A, BigNumber const& clientM1, BigNumber const& K) const
{
    return SHA1::GetDigestOf(A.ToByteArray<EPHEMERAL_KEY_LENGTH>(), clientM1.ToByteArray<SHA1::DIGEST_LENGTH>(), K.ToByteArray<SHA1::DIGEST_LENGTH * 2>());
}
 
BigNumber GruntSRP6::CalculateX(std::string const& username, std::string const& password, Salt const& salt) const
{
    return SHA1::GetDigestOf(
        salt,
        SHA1::GetDigestOf(username, ":", password)
    );
}
 
Optional<BigNumber> GruntSRP6::DoVerifyClientEvidence(BigNumber const& A, BigNumber const& clientM1)
{
    if ((A % N).IsZero())
        return {};
 
    BigNumber const u(SHA1::GetDigestOf(A.ToByteArray<EPHEMERAL_KEY_LENGTH>(), B.ToByteArray<EPHEMERAL_KEY_LENGTH>()));
    EphemeralKey const S = (A * (v.ModExp(u, N))).ModExp(b, N).ToByteArray<EPHEMERAL_KEY_LENGTH>();
 
    SessionKey K = SHA1Interleave(S);
 
    // NgHash = H(N) xor H(g)
    SHA1::Digest const NHash = SHA1::GetDigestOf(N.ToByteArray<32>());
    SHA1::Digest const gHash = SHA1::GetDigestOf(g.ToByteArray<1>());
    SHA1::Digest NgHash;
    std::transform(NHash.begin(), NHash.end(), gHash.begin(), NgHash.begin(), std::bit_xor<>());
 
    BigNumber const ourM = SHA1::GetDigestOf(NgHash, I.ToByteArray<SHA1::DIGEST_LENGTH>(), s, A.ToByteArray<EPHEMERAL_KEY_LENGTH>(), B.ToByteArray<EPHEMERAL_KEY_LENGTH>(), K);
    if (ourM == clientM1)
        return K;
 
    return {};
}
 
GruntSRP6::SessionKey GruntSRP6::SHA1Interleave(EphemeralKey const& S)
{
    // split S into two buffers
    std::array<uint8, EPHEMERAL_KEY_LENGTH / 2> buf0, buf1;
    for (size_t i = 0; i < S.size() / 2; ++i)
    {
        buf0[i] = S[2 * i + 0];
        buf1[i] = S[2 * i + 1];
    }
 
    // find position of first nonzero byte
    size_t p = 0;
    while (p < S.size() && !S[p]) ++p;
    if (p & 1) ++p; // skip one extra byte if p is odd
    p /= 2; // offset into buffers
 
    // hash each of the halves, starting at the first nonzero byte
    SHA1::Digest const hash0 = SHA1::GetDigestOf(buf0.data() + p, S.size() / 2 - p);
    SHA1::Digest const hash1 = SHA1::GetDigestOf(buf1.data() + p, S.size() / 2 - p);
 
    // stick the two hashes back together
    SessionKey K;
    for (size_t i = 0; i < SHA1::DIGEST_LENGTH; ++i)
    {
        K[2 * i + 0] = hash0[i];
        K[2 * i + 1] = hash1[i];
    }
    return K;
}
 
BnetSRP6Base::BnetSRP6Base(BigNumber const& i, Salt const& salt, Verifier const& verifier, BigNumber const& N, BigNumber const& g, BigNumber const& k)
    : SRP6(i, salt, verifier, N, g, k)
{
}
 
BigNumber BnetSRP6Base::CalculateServerEvidence(BigNumber const& A, BigNumber const& clientM1, BigNumber const& K) const
{
    std::array evidenceBns{ &A, &clientM1, &K };
    return DoCalculateEvidence(evidenceBns);
}
 
Optional<BigNumber> BnetSRP6Base::DoVerifyClientEvidence(BigNumber const& A, BigNumber const& clientM1)
{
    BigNumber N = GetN();
    if ((A % N).IsZero())
        return {};
 
    BigNumber const u = CalculateU(A);
    if ((u % N).IsZero())
        return {};
 
    BigNumber const S = (A * v.ModExp(u, N)).ModExp(b, N);
 
    std::array evidenceBns{ &A, &B, &S };
    BigNumber const ourM = DoCalculateEvidence(evidenceBns);
    if (ourM != clientM1)
        return {};
 
    return S;
}
 
std::vector<uint8> BnetSRP6Base::GetBrokenEvidenceVector(BigNumber const& bn)
{
    int32 bytes = (bn.GetNumBits() + 8) >> 3;
    return bn.ToByteVector(bytes, false);
}
 
BnetSRP6v1Base::BnetSRP6v1Base(std::string const& username, Salt const& salt, Verifier const& verifier, BigNumber const& k)
    : BnetSRP6Base(SHA256::GetDigestOf(username), salt, verifier, N, g, k)
{
}
 
BigNumber BnetSRP6v1Base::CalculateX(std::string const& username, std::string const& password, Salt const& salt) const
{
    return SHA256::GetDigestOf(
        salt,
        SHA256::GetDigestOf(username, ":", password)
    );
}
 
BnetSRP6v2Base::BnetSRP6v2Base(std::string const& username, Salt const& salt, Verifier const& verifier, BigNumber const& k)
    : BnetSRP6Base(SHA256::GetDigestOf(username), salt, verifier, N, g, k)
{
}
 
BigNumber BnetSRP6v2Base::CalculateX(std::string const& username, std::string const& password, Salt const& salt) const
{
    SHA512::Digest xBytes = {};
    std::string tmp = username + ":" + password;
    PKCS5_PBKDF2_HMAC(tmp.c_str(), tmp.length(), salt.data(), salt.size(), GetXIterations(), EVP_sha512(), xBytes.size(), xBytes.data());
    BigNumber x(xBytes, false);
    if (xBytes[0] & 0x80)
    {
        std::array<uint8, 65> fix = {};
        fix[64] = 1;
        x -= fix;
    }
 
    return x % (N - 1);
}
}