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
228
229
230
231
232
233
234
235
236
237
238
239
240
|
/* test ternary extension fields $GF(3^m)$, $GF(3^{2*m})$, $GF(3^{3*m})$ and $GF(3^{6*m})$
Outputing nothing if everything is good. */
#include "pbc.h"
#include "pbc_ternary_extension_field.h"
#include "pbc_test.h"
#include <string.h>
#include <stdio.h>
typedef struct {
unsigned int len;
unsigned int m;
unsigned int t;
element_ptr p;
} params;
#define data(x) ((unsigned long*)x->data)
#define params(x) ((params *)x->field->data)
#define print(e) {printf(#e": "); element_out_str(stdout, 0, e); printf("\n");}
static field_t f97, f97_2, f97_3, f97_6;
static element_t e0, e1, e2, a, b, a2, b2, a3, b3, a6, b6;
static unsigned char *data;
static void test_gf3m_param(void) {
params *pa = (params *) f97->data;
element_to_bytes(data, pa->p);
unsigned i;
unsigned char w;
for (i = 0; i < pa->len * 2 * sizeof(unsigned long); i++) {
switch (i) {
case 1:
w = 1;
break; // 2
case 2:
w = 16;
break; // x^12
case 24:
w = 2;
break; // x^97
default:
w = 0;
}
EXPECT(data[i] == w);
}
}
static void test_gf3m_to_bytes(void) {
element_random(a);
element_to_bytes(data, a);
element_from_bytes(b, data);
EXPECT(0 == element_cmp(a, b));
}
static void test_gf3m_add(void) {
element_random(a);
element_add(b, a, a);
element_add(b, b, b);
element_sub(b, b, a);
element_sub(b, b, a);
element_sub(b, b, a);
EXPECT(!element_cmp(a, b));
element_add(b, params(a)->p, a);
element_sub(b, b, params(a)->p);
EXPECT(!element_cmp(a, b));
}
static void test_gf3m_neg(void) {
element_random(a);
element_neg(b, a);
element_add(b, a, b);
EXPECT(!element_cmp(b, e0));
}
static void test_gf3m_mult(void) {
element_random(a);
element_mul(a, a, e0);
EXPECT(!element_cmp(a, e0));
element_random(a);
element_mul(b, a, e1);
EXPECT(!element_cmp(a, b));
element_random(a);
element_mul(b, a, e2);
element_add(a, a, b);
EXPECT(!element_cmp(a, e0));
}
static void test_gf3m_cubic(void) {
element_random(a);
element_mul(b, a, a);
element_mul(b, a, b);
element_cubic(a, a);
EXPECT(!element_cmp(a, b));
}
static void test_gf3m_cubic2(void) {
unsigned long x[] = {1153286547535200267ul, 6715371622ul, 4990694927524257316ul, 210763913ul};
unsigned long y[] = {8145587063258678275ul, 6451025920ul, 9976895054123379152ul, 1275593166ul};
memcpy(a->data, x, sizeof(x));
memcpy(b->data, y, sizeof(y));
element_cubic(a, a);
EXPECT(!element_cmp(a, b));
}
static void test_gf3m_inverse(void) {
element_set1(a);
element_invert(b, a);
EXPECT(!element_cmp(b, e1));
element_set(a, e2);
element_invert(b, a);
EXPECT(!element_cmp(b, e2));
element_random(a);
element_invert(b, a);
element_mul(a, a, b);
EXPECT(!element_cmp(a, e1));
}
static void test_gf3m_sqrt(void) {
mpz_t t;
mpz_init(t);
mpz_sub_ui(t, a->field->order, 1); // t == field_order - 1
element_random(a);
element_pow_mpz(a, a, t);
EXPECT(!element_cmp(a, e1));
while(1){
element_random(a);
element_mul(b, a, a);
element_sqrt(b, b);
if(element_cmp(a, b)) {// a != b
element_neg(b, b);
if(!element_cmp(a, b)) break;
}
}
mpz_clear(t);
}
static void test_gf32m_cubic(void) {
element_random(a2);
element_mul(b2, a2, a2);
element_mul(b2, b2, a2);
element_cubic(a2, a2);
EXPECT(!element_cmp(a2, b2));
}
static void test_gf33m_cubic(void) {
element_random(a3);
element_mul(b3, a3, a3);
element_mul(b3, b3, a3);
element_cubic(a3, a3);
EXPECT(!element_cmp(a3, b3));
}
static void test_gf33m_inverse(void) {
element_random(a3);
element_invert(b3, a3);
element_mul(a3, a3, b3);
element_ptr a0 = element_item(a3, 0);
EXPECT(!element_cmp(a0, e1));
}
static void test_gf36m_cubic(void) {
element_random(a6);
element_mul(b6, a6, a6);
element_mul(b6, b6, a6);
element_cubic(a6, a6);
EXPECT(!element_cmp(a6, b6));
}
void setup(void) {
field_init_gf3m(f97, 97, 12);
element_init(a, f97);
element_init(b, f97);
element_init(e0, f97);
element_init(e1, f97);
element_init(e2, f97);
element_set1(e1);
element_neg(e2, e1);
field_init_gf32m(f97_2, f97);
element_init(a2, f97_2);
element_init(b2, f97_2);
field_init_gf33m(f97_3, f97);
element_init(a3, f97_3);
element_init(b3, f97_3);
field_init_gf33m(f97_6, f97_2);
element_init(a6, f97_6);
element_init(b6, f97_6);
data = pbc_malloc(f97->fixed_length_in_bytes);
}
void tear_down(void) {
pbc_free(data);
element_clear(e0);
element_clear(e1);
element_clear(e2);
element_clear(a);
element_clear(b);
element_clear(a2);
element_clear(b2);
element_clear(a3);
element_clear(b3);
element_clear(a6);
element_clear(b6);
field_clear(f97_6);
field_clear(f97_3);
field_clear(f97_2);
field_clear(f97);
}
int main(void) {
setup();
test_gf3m_param();
test_gf3m_to_bytes();
test_gf3m_add();
test_gf3m_neg();
test_gf3m_mult();
test_gf3m_cubic();
test_gf3m_cubic2();
test_gf3m_inverse();
test_gf3m_sqrt();
test_gf32m_cubic();
test_gf33m_cubic();
test_gf33m_inverse();
test_gf36m_cubic();
tear_down();
return 0;
}
|
