// mersenne.h - written and placed in public domain by Jeffrey Walton. /// \file mersenne.h /// \brief Class file for Mersenne Twister /// \warning MersenneTwister is suitable for Monte-Carlo simulations, where uniformaly distributed /// numbers are required quickly. It should not be used for cryptographic purposes. /// \since Crypto++ 5.6.3 #ifndef CRYPTOPP_MERSENNE_TWISTER_H #define CRYPTOPP_MERSENNE_TWISTER_H #include "cryptlib.h" #include "secblock.h" #include "misc.h" NAMESPACE_BEGIN(CryptoPP) /// \brief Mersenne Twister class for Monte-Carlo simulations /// \tparam K Magic constant /// \tparam M Period parameter /// \tparam N Size of the state vector /// \tparam F Multiplier constant /// \tparam S Initial seed /// \details Provides the MersenneTwister implementation. The class is a header-only implementation. /// \details You should reseed the generator after a fork() to avoid multiple generators /// with the same internal state. /// \warning MersenneTwister is suitable for simulations, where uniformaly distributed numbers are /// required quickly. It should not be used for cryptographic purposes. /// \sa MT19937, MT19937ar /// \since Crypto++ 5.6.3 template class MersenneTwister : public RandomNumberGenerator { public: CRYPTOPP_STATIC_CONSTEXPR const char* StaticAlgorithmName() { return (S==5489 ? "MT19937ar" : (S==4537 ? "MT19937" : "MT19937x")); } ~MersenneTwister() {} /// \brief Construct a Mersenne Twister /// \param seed 32-bit seed /// \details Defaults to template parameter S due to changing algorithm /// parameters over time MersenneTwister(word32 seed = S) : m_idx(N) { Reset(seed); } bool CanIncorporateEntropy() const {return true;} /// \brief Update RNG state with additional unpredictable values /// \param input the entropy to add to the generator /// \param length the size of the input buffer /// \details MersenneTwister uses the first 32-bits of input to reseed the /// generator. If fewer bytes are provided, then the seed is padded with 0's. void IncorporateEntropy(const byte *input, size_t length) { // Handle word32 size blocks FixedSizeSecBlock temp; temp[0] = 0; if (length > 4) length = 4; for (size_t i=0; i temp; for (size_t i=0; i < size/4; i++, output += 4) { temp[0] = NextMersenneWord(); std::memcpy(output, temp+0, 4); } // No tail bytes if (size%4 == 0) return; // Handle tail bytes temp[0] = NextMersenneWord(); switch (size%4) { case 3: output[2] = CRYPTOPP_GET_BYTE_AS_BYTE(temp[0], 1); /* fall through */ case 2: output[1] = CRYPTOPP_GET_BYTE_AS_BYTE(temp[0], 2); /* fall through */ case 1: output[0] = CRYPTOPP_GET_BYTE_AS_BYTE(temp[0], 3); break; default: CRYPTOPP_ASSERT(0);; } } /// \brief Generate a random 32-bit word in the range min to max, inclusive /// \return random 32-bit word in the range min to max, inclusive /// \details If the 32-bit candidate is not within the range, then it is discarded /// and a new candidate is used. word32 GenerateWord32(word32 min=0, word32 max=0xffffffffL) { const word32 range = max-min; if (range == 0xffffffffL) return NextMersenneWord(); const int maxBits = BitPrecision(range); word32 value; do{ value = Crop(NextMersenneWord(), maxBits); } while (value > range); return value+min; } /// \brief Generate and discard n bytes /// \param n the number of bytes to discard, rounded up to a word32 size /// \details If n is not a multiple of word32, then unused bytes are /// not accumulated for subsequent calls to GenerateBlock. Rather, the unused /// tail bytes are discarded, and the stream is continued at the next /// word32 boundary from the state array. void DiscardBytes(size_t n) { for(size_t i=0; i < RoundUpToMultipleOf(n, 4U); i++) NextMersenneWord(); } protected: void Reset(word32 seed) { m_idx = N; m_state[0] = seed; for (unsigned int i = 1; i < N+1; i++) m_state[i] = word32(F * (m_state[i-1] ^ (m_state[i-1] >> 30)) + i); } /// \brief Returns the next 32-bit word from the state array /// \return the next 32-bit word from the state array /// \details fetches the next word frm the state array, performs bit operations on /// it, and then returns the value to the caller. word32 NextMersenneWord() { if (m_idx >= N) { Twist(); } word32 temp = m_state[m_idx++]; temp ^= (temp >> 11); temp ^= (temp << 7) & 0x9D2C5680; // 0x9D2C5680 (2636928640) temp ^= (temp << 15) & 0xEFC60000; // 0xEFC60000 (4022730752) return temp ^ (temp >> 18); } /// \brief Performs the twist operation on the state array void Twist() { static const word32 magic[2]={0x0UL, K}; word32 kk, temp; CRYPTOPP_ASSERT(N >= M); for (kk=0;kk> 1) ^ magic[temp & 0x1UL]; } for (;kk> 1) ^ magic[temp & 0x1UL]; } temp = (m_state[N-1] & 0x80000000)|(m_state[0] & 0x7FFFFFFF); m_state[N-1] = m_state[M-1] ^ (temp >> 1) ^ magic[temp & 0x1UL]; // Reset index m_idx = 0; // Wipe temp SecureWipeArray(&temp, 1); } private: /// \brief 32-bit word state array of size N FixedSizeSecBlock m_state; /// \brief the current index into the state array word32 m_idx; }; /// \brief Original MT19937 generator provided in the ACM paper. /// \details MT19937 uses 4537 as default initial seed. /// \details You should reseed the generator after a fork() to avoid multiple generators /// with the same internal state. /// \sa MT19937ar, Mersenne twister: /// a 623-dimensionally equidistributed uniform pseudo-random number generator /// \since Crypto++ 5.6.3 #if CRYPTOPP_DOXYGEN_PROCESSING class MT19937 : public MersenneTwister<0x9908B0DF /*2567483615*/, 397, 624, 0x10DCD /*69069*/, 4537> {}; #else typedef MersenneTwister<0x9908B0DF /*2567483615*/, 397, 624, 0x10DCD /*69069*/, 4537> MT19937; #endif /// \brief Updated MT19937 generator adapted to provide an array for initialization. /// \details MT19937 uses 5489 as default initial seed. Use this generator when interoperating with C++11's /// mt19937 class. /// \details You should reseed the generator after a fork() to avoid multiple generators /// with the same internal state. /// \sa MT19937, Mersenne Twister /// with improved initialization /// \since Crypto++ 5.6.3 #if CRYPTOPP_DOXYGEN_PROCESSING class MT19937ar : public MersenneTwister<0x9908B0DF /*2567483615*/, 397, 624, 0x6C078965 /*1812433253*/, 5489> {}; #else typedef MersenneTwister<0x9908B0DF /*2567483615*/, 397, 624, 0x6C078965 /*1812433253*/, 5489> MT19937ar; #endif NAMESPACE_END #endif // CRYPTOPP_MERSENNE_TWISTER_H