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- // 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 <unsigned int K, unsigned int M, unsigned int N, unsigned int F, word32 S>
- 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 <tt>input</tt> 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<word32, 1> temp;
- temp[0] = 0;
- if (length > 4)
- length = 4;
- for (size_t i=0; i<length; ++i)
- {
- temp[0] <<= 8;
- temp[0] = temp[0] | input[i];
- }
- Reset(temp[0]);
- }
- /// \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
- FixedSizeSecBlock<word32, 1> temp;
- for (size_t i=0; i < size/4; i++, output += 4)
- {
- temp[0] = NextMersenneWord();
- 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 <tt>word32</tt> size
- /// \details If n is not a multiple of <tt>word32</tt>, 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
- /// <tt>word32</tt> 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<N-M;kk++)
- {
- temp = (m_state[kk] & 0x80000000)|(m_state[kk+1] & 0x7FFFFFFF);
- m_state[kk] = m_state[kk+M] ^ (temp >> 1) ^ magic[temp & 0x1UL];
- }
- for (;kk<N-1;kk++)
- {
- temp = (m_state[kk] & 0x80000000)|(m_state[kk+1] & 0x7FFFFFFF);
- m_state[kk] = m_state[kk+(M-N)] ^ (temp >> 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<word32, N+1> 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, <A HREF="http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/ARTICLES/mt.pdf">Mersenne twister:
- /// a 623-dimensionally equidistributed uniform pseudo-random number generator</A>
- /// \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, <A HREF="http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/MT2002/emt19937ar.html">Mersenne Twister
- /// with improved initialization</A>
- /// \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
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