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
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
|
// Compares two implementations of Fp.
#include <string.h>
#include "pbc.h"
#include "pbc_fp.h"
#include "pbc_fieldquadratic.h"
static mpz_t prime;
enum { VERBOSE = 0 };
static void check_p(int value, char *s) {
if (!value) {
printf("BUG: %s predicate wrong\n", s);
exit(1);
}
if (VERBOSE) {
printf("checking %s\n", s);
}
}
static void check_match_int(int i1, int i2, char *s) {
void bug(void)
{
printf("BUG: %s mismatch\n", s);
element_printf("i1: %d\n", i1);
element_printf("i2: %d\n", i2);
exit(1);
}
if (VERBOSE) {
printf("checking %s\n", s);
element_printf("i1: %d\n", i1);
element_printf("i2: %d\n", i2);
}
if (i1 != i2) bug();
}
static void check_match(element_t e1, element_t e2, char *s) {
unsigned char *buf1, *buf2;
int len;
void bug(void)
{
printf("BUG: %s mismatch\n", s);
element_printf("e1: %B\n", e1);
element_printf("e2: %B\n", e2);
exit(1);
}
if (VERBOSE) {
printf("checking %s\n", s);
element_printf("e1: %B\n", e1);
element_printf("e2: %B\n", e2);
}
len = element_length_in_bytes(e1);
if (len != element_length_in_bytes(e2)) {
bug();
}
buf1 = pbc_malloc(len);
buf2 = pbc_malloc(len);
element_to_bytes(buf1, e1);
element_to_bytes(buf2, e2);
if (memcmp(buf1, buf2, len)) {
bug();
}
pbc_free(buf1);
pbc_free(buf2);
}
static void run_check(field_ptr f1, field_ptr f2) {
mpz_t t1, t2;
element_t x1, y1, z1;
element_t x2, y2, z2;
char s2[80];
void convertset(element_t out, element_t in)
{
unsigned char *buf;
int len;
len = element_length_in_bytes(in);
buf = pbc_malloc(len);
element_to_bytes(buf, in);
element_from_bytes(out, buf);
pbc_free(buf);
check_match(in, out, "conversion");
}
void randxy(void)
{
element_random(x1);
element_random(y1);
convertset(x2, x1);
convertset(y2, y1);
}
void check_onearg(void (*fn)(element_ptr), char *s)
{
fn(x1);
fn(x2);
check_match(x1, x2, s);
}
void check_twoarg(void (*fn)(element_ptr, element_ptr), char *s)
{
randxy();
fn(z1, x1);
fn(z2, x2);
check_match(z1, z2, s);
strncpy(s2, s, 32);
strcat(s2, " (in place)");
fn(y1, y1);
fn(y2, y2);
check_match(y1, y2, s2);
}
void check_threearg(void (*fn)(element_ptr, element_ptr, element_ptr), char *s)
{
randxy();
fn(z1, x1, y1);
fn(z2, x2, y2);
check_match(z1, z2, s);
strncpy(s2, s, 32);
strcat(s2, " (first arg in place)");
element_set(z1, x1);
element_set(z2, x2);
fn(z1, z1, y1);
fn(z2, z2, y2);
check_match(z1, z2, s2);
strncpy(s2, s, 32);
strcat(s2, " (second arg in place)");
element_set(z1, y1);
element_set(z2, y2);
fn(z1, x1, z1);
fn(z2, x2, z2);
check_match(z1, z2, s2);
strncpy(s2, s, 32);
strcat(s2, " (both args in place)");
element_set(z1, y1);
element_set(z2, y2);
fn(x1, x1, x1);
fn(x2, x2, x2);
check_match(x1, x2, s2);
}
mpz_init(t1);
mpz_init(t2);
element_init(x1, f1);
element_init(y1, f1);
element_init(z1, f1);
element_init(x2, f2);
element_init(y2, f2);
element_init(z2, f2);
check_p(!element_cmp(x1, y1), "cmp0-1");
check_p(!element_cmp(x2, y2), "cmp0-2");
check_match(z1, z2, "init");
check_onearg(element_set0, "set0");
check_onearg(element_set1, "set1");
check_twoarg(element_set, "set");
check_match_int(element_sgn(z1), element_sgn(z2), "sgn");
check_threearg(element_add, "add");
check_twoarg(element_neg, "neg");
check_threearg(element_sub, "sub");
check_twoarg(element_double, "double");
check_twoarg(element_halve, "halve");
check_twoarg(element_invert, "invert");
check_twoarg(element_square, "square");
check_threearg(element_mul, "mul");
randxy();
element_neg(y1, x1);
element_neg(y2, x2);
element_add(z1, x1, y1);
element_add(z2, x2, y2);
check_match(z1, z2, "add (to zero)");
check_p(!element_sgn(z1), "sgn");
check_p(!element_sgn(z1), "sgn");
check_p(element_is0(z2), "is0");
check_p(element_is0(z2), "is0");
randxy();
element_invert(y1, x1);
element_invert(y2, x2);
element_mul(z1, x1, y1);
element_mul(z2, x2, y2);
check_match(z1, z2, "mul (to one)");
check_p(element_is1(z1), "is1");
check_p(element_is1(z2), "is1");
randxy();
check_p(!(!!element_cmp(x1, y1) ^ !!element_cmp(x2, y2)), "cmp");
element_set(x1, y1);
element_set(x2, y2);
check_p(!element_cmp(x1, y1), "cmp");
check_p(!element_cmp(x2, y2), "cmp");
check_p(!element_cmp(x1, x1), "cmp (in place)");
check_p(!element_cmp(x2, x2), "cmp (in place)");
for (;;) {
int flag;
randxy();
flag = element_is_sqr(x1);
check_match_int(flag, element_is_sqr(x2), "is_sqr");
if (flag) break;
}
convertset(x2, x1);
element_sqrt(z1, x1);
element_sqrt(z2, x2);
//can't compare these because sqrt is nondeterministic
//and there's no way easy way to preserve random state yet
element_square(z1, z1);
element_square(z2, z2);
check_match(z1, z2, "sqrt");
pbc_mpz_random(t1, f1->order);
pbc_mpz_random(t2, f2->order);
element_to_mpz(t1, y1);
element_to_mpz(t2, y2);
element_set_mpz(y1, t1);
element_set_mpz(y2, t2);
check_match(y1, y2, "set_mpz");
element_mul_mpz(z1, x1, t1);
element_mul_mpz(z2, x2, t2);
check_match(z1, z2, "mul_mpz");
element_pow_mpz(z1, x1, t1);
element_pow_mpz(z2, x2, t2);
check_match(z1, z2, "pow_mpz");
element_mul_si(z1, x1, mpz_get_ui(t1));
element_mul_si(z2, x2, mpz_get_ui(t2));
check_match(z1, z2, "mul_si");
element_set_si(z1, mpz_get_ui(t1));
element_set_si(z2, mpz_get_ui(t2));
check_match(z1, z2, "set_si");
element_clear(x1);
element_clear(y1);
element_clear(z1);
element_clear(x2);
element_clear(y2);
element_clear(z2);
mpz_clear(t1);
mpz_clear(t2);
}
int main(void) {
field_t f1, f2;
field_t f1i, f2i;
field_t f1x, f2x;
field_t f1p, f2p;
int i, n;
element_ptr n1;
element_t n2;
element_t irred1, irred2;
mpz_t z;
n = 10;
mpz_init(z);
mpz_init(prime);
mpz_set_ui(prime, 1234);
mpz_setbit(prime, 160);
mpz_nextprime(prime, prime);
element_printf("prime = %Zd\n", prime);
field_init_naive_fp(f1, prime);
field_init_fp(f2, prime);
printf("Field 1:\n");
field_out_info(stdout, f1);
printf("Field 2:\n");
field_out_info(stdout, f2);
printf("checking base fields\n");
for (i=0; i<n; i++) run_check(f1, f2);
element_init(n2, f2);
n1 = field_get_nqr(f1);
element_to_mpz(z, n1);
element_set_mpz(n2, z);
field_set_nqr(f2, n2);
field_init_fi(f1i, f1);
field_init_fi(f2i, f2);
printf("checking quadratic field extensions\n");
for (i=0; i<n; i++) run_check(f1i, f2i);
field_clear(f1i);
field_clear(f2i);
field_init_quadratic(f1i, f1);
field_init_quadratic(f2i, f2);
for (i=0; i<n; i++) run_check(f1i, f2i);
printf("checking degree 3 extension\n");
field_init_poly(f1x, f1);
field_init_poly(f2x, f2);
element_init(irred1, f1x);
element_init(irred2, f2x);
do {
poly_random_monic(irred1, 3);
} while (!poly_is_irred(irred1));
field_init_polymod(f1p, irred1);
{
unsigned char *buf;
int len;
len = element_length_in_bytes(irred1);
buf = pbc_malloc(len);
element_to_bytes(buf, irred1);
element_from_bytes(irred2, buf);
pbc_free(buf);
}
field_init_polymod(f2p, irred2);
for (i=0; i<n; i++) run_check(f1p, f2p);
return 0;
}
|