|
|
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
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
|
