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
|
/*
* ecgen, tool for generating Elliptic curve domain parameters
* Copyright (C) 2017 J08nY
*/
#include <criterion/criterion.h>
#include <misc/config.h>
#include "gen/point.h"
#include "math/subgroups.h"
#include "test/default.h"
TestSuite(subgroups, .init = default_setup, .fini = default_teardown);
Test(subgroups, test_prime_factors) {
curve_t curve = {.order = stoi(12)};
cfg->prime = false;
GEN divs = subgroups_prime(&curve);
GEN vec = mkvec2s(2, 3);
cr_assert(gequal(divs, vec), "Factors not equal!");
}
Test(subgroups, test_prime_factors_other) {
curve_t curve = {.order = stoi(27)};
cfg->prime = false;
GEN divs = subgroups_prime(&curve);
GEN vec = gtovec(stoi(3));
cr_assert(gequal(divs, vec), "Factors not equal!");
}
Test(subgroups, test_prime_prime) {
curve_t curve = {.order = stoi(5)};
cfg->prime = true;
GEN divs = subgroups_prime(&curve);
GEN vec = gtovec(stoi(5));
cr_assert(gequal(divs, vec), "Factors not equal!");
}
Test(subgroups, test_nonprime_factors) {
// curve = ellinit([1, 3], 23), order = 27
curve_t curve = {.order = stoi(27), .ngens = 1};
cfg->prime = false;
GEN divs = subgroups_nonprime(&curve);
GEN vec = mkvec2s(9, 27);
cr_assert(gequal(divs, vec), "Factors not equal!");
}
Test(subgroups, test_all_factors) {
// curve = ellinit([1, 3], 23), order = 27
curve_t curve = {.order = stoi(27), .ngens = 1};
cfg->prime = false;
GEN divs = subgroups_all(&curve);
GEN vec = mkvec3s(3, 9, 27);
cr_assert(gequal(divs, vec), "Factors not equal!");
}
Test(subgroups, test_all_factors_two_gens) {
// curve = ellinit([2, 3], 23), order = 24
point_t **gens = points_new(2);
gens[0] = point_new();
gens[0]->order = stoi(12);
gens[0]->cofactor = stoi(2);
gens[0]->point = mkvec2(mkintmodu(6, 23), mkintmodu(1, 23));
gens[1] = point_new();
gens[1]->order = stoi(6);
gens[1]->cofactor = stoi(4);
gens[1]->point = mkvec2(mkintmodu(20, 23), mkintmodu(19, 23));
curve_t curve = {.order = stoi(24), .ngens = 2, .generators = gens};
cfg->prime = false;
GEN divs = subgroups_all(&curve);
GEN vec = mkvecn(8, stoi(2), stoi(3), stoi(4), stoi(6), stoi(12), stoi(2),
stoi(3), stoi(6));
cr_assert(gequal(divs, vec), "Factors not equal!");
points_free_deep(&gens, 2);
}
|
