diff options
author | weidai <weidai11@users.noreply.github.com> | 2003-07-19 03:47:20 +0000 |
---|---|---|
committer | weidai <weidai11@users.noreply.github.com> | 2003-07-19 03:47:20 +0000 |
commit | 5307588c579cea190110da798d498f3ffc15079f (patch) | |
tree | 09d13a6fae123a46962ad82f4b88b7c91bd08335 /nbtheory.cpp | |
parent | db4981d479d967dafa5ec2f55c6a0735f897b2cb (diff) | |
download | cryptopp-git-5307588c579cea190110da798d498f3ffc15079f.tar.gz |
remove Diamond2, code size reductions
Diffstat (limited to 'nbtheory.cpp')
-rw-r--r-- | nbtheory.cpp | 147 |
1 files changed, 50 insertions, 97 deletions
diff --git a/nbtheory.cpp b/nbtheory.cpp index d691e43c..2a517d7c 100644 --- a/nbtheory.cpp +++ b/nbtheory.cpp @@ -13,103 +13,45 @@ NAMESPACE_BEGIN(CryptoPP) -const unsigned int maxPrimeTableSize = 3511; // last prime 32719 -const word lastSmallPrime = 32719; -unsigned int primeTableSize=552; - -word primeTable[maxPrimeTableSize] = - {2, 3, 5, 7, 11, 13, 17, 19, - 23, 29, 31, 37, 41, 43, 47, 53, - 59, 61, 67, 71, 73, 79, 83, 89, - 97, 101, 103, 107, 109, 113, 127, 131, - 137, 139, 149, 151, 157, 163, 167, 173, - 179, 181, 191, 193, 197, 199, 211, 223, - 227, 229, 233, 239, 241, 251, 257, 263, - 269, 271, 277, 281, 283, 293, 307, 311, - 313, 317, 331, 337, 347, 349, 353, 359, - 367, 373, 379, 383, 389, 397, 401, 409, - 419, 421, 431, 433, 439, 443, 449, 457, - 461, 463, 467, 479, 487, 491, 499, 503, - 509, 521, 523, 541, 547, 557, 563, 569, - 571, 577, 587, 593, 599, 601, 607, 613, - 617, 619, 631, 641, 643, 647, 653, 659, - 661, 673, 677, 683, 691, 701, 709, 719, - 727, 733, 739, 743, 751, 757, 761, 769, - 773, 787, 797, 809, 811, 821, 823, 827, - 829, 839, 853, 857, 859, 863, 877, 881, - 883, 887, 907, 911, 919, 929, 937, 941, - 947, 953, 967, 971, 977, 983, 991, 997, - 1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049, - 1051, 1061, 1063, 1069, 1087, 1091, 1093, 1097, - 1103, 1109, 1117, 1123, 1129, 1151, 1153, 1163, - 1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223, - 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, - 1289, 1291, 1297, 1301, 1303, 1307, 1319, 1321, - 1327, 1361, 1367, 1373, 1381, 1399, 1409, 1423, - 1427, 1429, 1433, 1439, 1447, 1451, 1453, 1459, - 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511, - 1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, - 1579, 1583, 1597, 1601, 1607, 1609, 1613, 1619, - 1621, 1627, 1637, 1657, 1663, 1667, 1669, 1693, - 1697, 1699, 1709, 1721, 1723, 1733, 1741, 1747, - 1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811, - 1823, 1831, 1847, 1861, 1867, 1871, 1873, 1877, - 1879, 1889, 1901, 1907, 1913, 1931, 1933, 1949, - 1951, 1973, 1979, 1987, 1993, 1997, 1999, 2003, - 2011, 2017, 2027, 2029, 2039, 2053, 2063, 2069, - 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129, - 2131, 2137, 2141, 2143, 2153, 2161, 2179, 2203, - 2207, 2213, 2221, 2237, 2239, 2243, 2251, 2267, - 2269, 2273, 2281, 2287, 2293, 2297, 2309, 2311, - 2333, 2339, 2341, 2347, 2351, 2357, 2371, 2377, - 2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423, - 2437, 2441, 2447, 2459, 2467, 2473, 2477, 2503, - 2521, 2531, 2539, 2543, 2549, 2551, 2557, 2579, - 2591, 2593, 2609, 2617, 2621, 2633, 2647, 2657, - 2659, 2663, 2671, 2677, 2683, 2687, 2689, 2693, - 2699, 2707, 2711, 2713, 2719, 2729, 2731, 2741, - 2749, 2753, 2767, 2777, 2789, 2791, 2797, 2801, - 2803, 2819, 2833, 2837, 2843, 2851, 2857, 2861, - 2879, 2887, 2897, 2903, 2909, 2917, 2927, 2939, - 2953, 2957, 2963, 2969, 2971, 2999, 3001, 3011, - 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079, - 3083, 3089, 3109, 3119, 3121, 3137, 3163, 3167, - 3169, 3181, 3187, 3191, 3203, 3209, 3217, 3221, - 3229, 3251, 3253, 3257, 3259, 3271, 3299, 3301, - 3307, 3313, 3319, 3323, 3329, 3331, 3343, 3347, - 3359, 3361, 3371, 3373, 3389, 3391, 3407, 3413, - 3433, 3449, 3457, 3461, 3463, 3467, 3469, 3491, - 3499, 3511, 3517, 3527, 3529, 3533, 3539, 3541, - 3547, 3557, 3559, 3571, 3581, 3583, 3593, 3607, - 3613, 3617, 3623, 3631, 3637, 3643, 3659, 3671, - 3673, 3677, 3691, 3697, 3701, 3709, 3719, 3727, - 3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797, - 3803, 3821, 3823, 3833, 3847, 3851, 3853, 3863, - 3877, 3881, 3889, 3907, 3911, 3917, 3919, 3923, - 3929, 3931, 3943, 3947, 3967, 3989, 4001, 4003}; - -void BuildPrimeTable() +const word s_lastSmallPrime = 32719; + +std::vector<word> * NewPrimeTable() { - unsigned int p=primeTable[primeTableSize-1]; - for (unsigned int i=primeTableSize; i<maxPrimeTableSize; i++) + const unsigned int maxPrimeTableSize = 3511; + + std::auto_ptr<std::vector<word> > pPrimeTable(new std::vector<word>); + std::vector<word> &primeTable = *pPrimeTable; + primeTable.reserve(maxPrimeTableSize); + + primeTable.push_back(2); + unsigned int testEntriesEnd = 1; + + for (unsigned int p=3; p<=s_lastSmallPrime; p+=2) { - int j; - do + for (unsigned int j=1; j<testEntriesEnd; j++) + if (p%primeTable[j] == 0) + break; + if (j == testEntriesEnd) { - p+=2; - for (j=1; j<54; j++) - if (p%primeTable[j] == 0) - break; - } while (j!=54); - primeTable[i] = p; + primeTable.push_back(p); + testEntriesEnd = STDMIN(54U, primeTable.size()); + } } - primeTableSize = maxPrimeTableSize; - assert(primeTable[primeTableSize-1] == lastSmallPrime); + + return pPrimeTable.release(); +} + +const word * GetPrimeTable(unsigned int &size) +{ + std::vector<word> &primeTable = StaticObject<std::vector<word> >(&NewPrimeTable); + size = primeTable.size(); + return &primeTable[0]; } bool IsSmallPrime(const Integer &p) { - BuildPrimeTable(); + unsigned int primeTableSize; + const word * primeTable = GetPrimeTable(primeTableSize); if (p.IsPositive() && p <= primeTable[primeTableSize-1]) return std::binary_search(primeTable, primeTable+primeTableSize, (word)p.ConvertToLong()); @@ -119,6 +61,9 @@ bool IsSmallPrime(const Integer &p) bool TrialDivision(const Integer &p, unsigned bound) { + unsigned int primeTableSize; + const word * primeTable = GetPrimeTable(primeTableSize); + assert(primeTable[primeTableSize-1] >= bound); unsigned int i; @@ -134,7 +79,8 @@ bool TrialDivision(const Integer &p, unsigned bound) bool SmallDivisorsTest(const Integer &p) { - BuildPrimeTable(); + unsigned int primeTableSize; + const word * primeTable = GetPrimeTable(primeTableSize); return !TrialDivision(p, primeTable[primeTableSize-1]); } @@ -273,9 +219,9 @@ bool IsStrongLucasProbablePrime(const Integer &n) bool IsPrime(const Integer &p) { - static const Integer lastSmallPrimeSquared = Integer(lastSmallPrime).Squared(); + static const Integer lastSmallPrimeSquared = Integer(s_lastSmallPrime).Squared(); - if (p <= lastSmallPrime) + if (p <= s_lastSmallPrime) return IsSmallPrime(p); else if (p <= lastSmallPrimeSquared) return SmallDivisorsTest(p); @@ -384,7 +330,8 @@ void PrimeSieve::SieveSingle(std::vector<bool> &sieve, word p, const Integer &fi void PrimeSieve::DoSieve() { - BuildPrimeTable(); + unsigned int primeTableSize; + const word * primeTable = GetPrimeTable(primeTableSize); const unsigned int maxSieveSize = 32768; unsigned int sieveSize = STDMIN(Integer(maxSieveSize), (m_last-m_first)/m_step+1).ConvertToLong(); @@ -431,11 +378,12 @@ bool FirstPrime(Integer &p, const Integer &max, const Integer &equiv, const Inte return false; } - BuildPrimeTable(); + unsigned int primeTableSize; + const word * primeTable = GetPrimeTable(primeTableSize); if (p <= primeTable[primeTableSize-1]) { - word *pItr; + const word *pItr; --p; if (p.IsPositive()) @@ -491,6 +439,9 @@ static bool ProvePrime(const Integer &p, const Integer &q) if (((r%q).Squared()-4*(r/q)).IsSquare()) return false; + unsigned int primeTableSize; + const word * primeTable = GetPrimeTable(primeTableSize); + assert(primeTableSize >= 50); for (int i=0; i<50; i++) { @@ -507,7 +458,7 @@ Integer MihailescuProvablePrime(RandomNumberGenerator &rng, unsigned int pbits) Integer minP = Integer::Power2(pbits-1); Integer maxP = Integer::Power2(pbits) - 1; - if (maxP <= Integer(lastSmallPrime).Squared()) + if (maxP <= Integer(s_lastSmallPrime).Squared()) { // Randomize() will generate a prime provable by trial division p.Randomize(rng, minP, maxP, Integer::PRIME); @@ -546,7 +497,9 @@ Integer MaurerProvablePrime(RandomNumberGenerator &rng, unsigned int bits) const unsigned smallPrimeBound = 29, c_opt=10; Integer p; - BuildPrimeTable(); + unsigned int primeTableSize; + const word * primeTable = GetPrimeTable(primeTableSize); + if (bits < smallPrimeBound) { do |