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
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
|
#include <NTL/GF2E.h>
#include <NTL/new.h>
NTL_START_IMPL
GF2EInfoT::GF2EInfoT(const GF2X& NewP)
{
ref_count = 1;
build(p, NewP);
if (p.size == 1) {
if (deg(p) <= NTL_BITS_PER_LONG/2)
KarCross = 4;
else
KarCross = 8;
}
else if (p.size == 2)
KarCross = 8;
else if (p.size <= 5)
KarCross = 4;
else if (p.size == 6)
KarCross = 3;
else
KarCross = 2;
if (p.size <= 1) {
if (deg(p) <= NTL_BITS_PER_LONG/2)
ModCross = 20;
else
ModCross = 40;
}
else if (p.size <= 2)
ModCross = 75;
else if (p.size <= 4)
ModCross = 50;
else
ModCross = 25;
if (p.size == 1) {
if (deg(p) <= NTL_BITS_PER_LONG/2)
DivCross = 100;
else
DivCross = 200;
}
else if (p.size == 2)
DivCross = 400;
else if (p.size <= 4)
DivCross = 200;
else if (p.size == 5)
DivCross = 150;
else if (p.size <= 13)
DivCross = 100;
else
DivCross = 75;
_card_init = 0;
_card_exp = p.n;
}
const ZZ& GF2E::cardinality()
{
if (!GF2EInfo) Error("GF2E::cardinality: undefined modulus");
if (!GF2EInfo->_card_init) {
power(GF2EInfo->_card, 2, GF2EInfo->_card_exp);
GF2EInfo->_card_init = 1;
}
return GF2EInfo->_card;
}
GF2EInfoT *GF2EInfo = 0;
typedef GF2EInfoT *GF2EInfoPtr;
static
void CopyPointer(GF2EInfoPtr& dst, GF2EInfoPtr src)
{
if (src == dst) return;
if (dst) {
dst->ref_count--;
if (dst->ref_count < 0)
Error("internal error: negative GF2EContext ref_count");
if (dst->ref_count == 0) delete dst;
}
if (src) {
if (src->ref_count == NTL_MAX_LONG)
Error("internal error: GF2EContext ref_count overflow");
src->ref_count++;
}
dst = src;
}
void GF2E::init(const GF2X& p)
{
GF2EContext c(p);
c.restore();
}
GF2EContext::GF2EContext(const GF2X& p)
{
ptr = NTL_NEW_OP GF2EInfoT(p);
}
GF2EContext::GF2EContext(const GF2EContext& a)
{
ptr = 0;
CopyPointer(ptr, a.ptr);
}
GF2EContext& GF2EContext::operator=(const GF2EContext& a)
{
CopyPointer(ptr, a.ptr);
return *this;
}
GF2EContext::~GF2EContext()
{
CopyPointer(ptr, 0);
}
void GF2EContext::save()
{
CopyPointer(ptr, GF2EInfo);
}
void GF2EContext::restore() const
{
CopyPointer(GF2EInfo, ptr);
}
GF2EBak::~GF2EBak()
{
if (MustRestore)
CopyPointer(GF2EInfo, ptr);
CopyPointer(ptr, 0);
}
void GF2EBak::save()
{
MustRestore = 1;
CopyPointer(ptr, GF2EInfo);
}
void GF2EBak::restore()
{
MustRestore = 0;
CopyPointer(GF2EInfo, ptr);
}
const GF2E& GF2E::zero()
{
static GF2E z(GF2E_NoAlloc);
return z;
}
istream& operator>>(istream& s, GF2E& x)
{
GF2X y;
s >> y;
conv(x, y);
return s;
}
void div(GF2E& x, const GF2E& a, const GF2E& b)
{
GF2E t;
inv(t, b);
mul(x, a, t);
}
void div(GF2E& x, GF2 a, const GF2E& b)
{
inv(x, b);
mul(x, x, a);
}
void div(GF2E& x, long a, const GF2E& b)
{
inv(x, b);
mul(x, x, a);
}
void inv(GF2E& x, const GF2E& a)
{
InvMod(x._GF2E__rep, a._GF2E__rep, GF2E::modulus());
}
NTL_END_IMPL
|
