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Diffstat (limited to '')
-rw-r--r-- | CryptoPP/gf2_32.cpp | 99 |
1 files changed, 99 insertions, 0 deletions
diff --git a/CryptoPP/gf2_32.cpp b/CryptoPP/gf2_32.cpp new file mode 100644 index 000000000..ae4874a40 --- /dev/null +++ b/CryptoPP/gf2_32.cpp @@ -0,0 +1,99 @@ +// gf2_32.cpp - written and placed in the public domain by Wei Dai + +#include "pch.h" +#include "misc.h" +#include "gf2_32.h" + +NAMESPACE_BEGIN(CryptoPP) + +GF2_32::Element GF2_32::Multiply(Element a, Element b) const +{ + word32 table[4]; + table[0] = 0; + table[1] = m_modulus; + if (a & 0x80000000) + { + table[2] = m_modulus ^ (a<<1); + table[3] = a<<1; + } + else + { + table[2] = a<<1; + table[3] = m_modulus ^ (a<<1); + } + +#if CRYPTOPP_FAST_ROTATE(32) + b = rotrFixed(b, 30U); + word32 result = table[b&2]; + + for (int i=29; i>=0; --i) + { + b = rotlFixed(b, 1U); + result = (result<<1) ^ table[(b&2) + (result>>31)]; + } + + return (b&1) ? result ^ a : result; +#else + word32 result = table[(b>>30) & 2]; + + for (int i=29; i>=0; --i) + result = (result<<1) ^ table[((b>>i)&2) + (result>>31)]; + + return (b&1) ? result ^ a : result; +#endif +} + +GF2_32::Element GF2_32::MultiplicativeInverse(Element a) const +{ + if (a <= 1) // 1 is a special case + return a; + + // warning - don't try to adapt this algorithm for another situation + word32 g0=m_modulus, g1=a, g2=a; + word32 v0=0, v1=1, v2=1; + + assert(g1); + + while (!(g2 & 0x80000000)) + { + g2 <<= 1; + v2 <<= 1; + } + + g2 <<= 1; + v2 <<= 1; + + g0 ^= g2; + v0 ^= v2; + + while (g0 != 1) + { + if (g1 < g0 || ((g0^g1) < g0 && (g0^g1) < g1)) + { + assert(BitPrecision(g1) <= BitPrecision(g0)); + g2 = g1; + v2 = v1; + } + else + { + assert(BitPrecision(g1) > BitPrecision(g0)); + g2 = g0; g0 = g1; g1 = g2; + v2 = v0; v0 = v1; v1 = v2; + } + + while ((g0^g2) >= g2) + { + assert(BitPrecision(g0) > BitPrecision(g2)); + g2 <<= 1; + v2 <<= 1; + } + + assert(BitPrecision(g0) == BitPrecision(g2)); + g0 ^= g2; + v0 ^= v2; + } + + return v0; +} + +NAMESPACE_END |