// mersenne.h - written and placed in public domain by Jeffrey Walton. // Copyright assigned to Crypto++ project. //! \file mersenne.h //! \brief Class file for Mersenne Twister //! \warning MersenneTwister is suitable for Monte-Carlo simulations, where uniformaly distrubuted //! numbers are required quickly. It should not be used for cryptographic purposes. #ifndef CRYPTOPP_MERSENNE_TWISTER_H #define CRYPTOPP_MERSENNE_TWISTER_H #include "cryptlib.h" #include "secblock.h" #include "misc.h" NAMESPACE_BEGIN(CryptoPP) //! \class MersenneTwister //! \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 Default seed //! \details Provides the MersenneTwister implementation. The class is a header-only implementation. //! \warning MersenneTwister is suitable for simulations, where uniformaly distrubuted numbers are //! required quickly. It should not be used for cryptographic purposes. template class MersenneTwister : public RandomNumberGenerator { public: //! \brief Construct a Mersenne Twister //! \param seed 32-bit seed //! \details Defaults to template parameter S due to changing algorithm //! parameters over time MersenneTwister(unsigned long seed = S) : m_seed(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 Generate random array of bytes //! \param output byte buffer //! \param size length of the buffer, in bytes //! \details Bytes are written to output in big endian order. If output length //! 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 GenerateBlock(byte *output, size_t size) { // Handle word32 size blocks word32 temp; for (size_t i=0; i < size/4; i++, output += 4) { #if defined(CRYPTOPP_ALLOW_UNALIGNED_DATA_ACCESS) && defined(IS_LITTLE_ENDIAN) *((word32*)output) = ByteReverse(NextMersenneWord()); #elif defined(CRYPTOPP_ALLOW_UNALIGNED_DATA_ACCESS) *((word32*)output) = NextMersenneWord(); #else temp = NextMersenneWord(); output[3] = CRYPTOPP_GET_BYTE_AS_BYTE(temp, 0); output[2] = CRYPTOPP_GET_BYTE_AS_BYTE(temp, 1); output[1] = CRYPTOPP_GET_BYTE_AS_BYTE(temp, 2); output[0] = CRYPTOPP_GET_BYTE_AS_BYTE(temp, 3); #endif } // No tail bytes if (size%4 == 0) { // Wipe temp *((volatile word32*)&temp) = 0; return; } // Handle tail bytes temp = NextMersenneWord(); switch (size%4) { case 3: output[2] = CRYPTOPP_GET_BYTE_AS_BYTE(temp, 1); /* fall through */ case 2: output[1] = CRYPTOPP_GET_BYTE_AS_BYTE(temp, 2); /* fall through */ case 1: output[0] = CRYPTOPP_GET_BYTE_AS_BYTE(temp, 3); break; default: assert(0); ;; } // Wipe temp *((volatile word32*)&temp) = 0; } //! \brief Generate a random 32-bit word in the range min to max, inclusive //! \returns 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: //! \brief Returns the next 32-bit word from the state array //! \returns 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 operaton on the state array void Twist() { static const unsigned long magic[2]={0x0UL, K}; word32 kk, temp; 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 *((volatile word32*)&temp) = 0; } private: //! \brief 32-bit word state array of size N FixedSizeSecBlock m_state; //! \brief the value used to seed the generator unsigned int m_seed; //! \brief the current index into the state array unsigned int m_idx; }; //! \brief Original MT19937 generator provided in the ACM paper. //! \details Also see http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/ARTICLES/mt.pdf; uses 4537 as default initial seed. typedef MersenneTwister<0x9908B0DF /*2567483615*/, 397, 624, 0x10DCD /*69069*/, 4537> MT19937; //! \brief Updated MT19937 generator adapted to provide an array for initialization. //! \details Also see http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/MT2002/emt19937ar.html; uses 5489 as default initial seed. //! \note Use this generator when interoperating with C++11's mt19937 class. typedef MersenneTwister<0x9908B0DF /*2567483615*/, 397, 624, 0x6C078965 /*1812433253*/, 5489> MT19937ar; NAMESPACE_END #endif // CRYPTOPP_MERSENNE_TWISTER_H