blob: 1064eda947bc1679665cbb60de015b67473ac2b9 (
plain)
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
|
/*
* ecgen, tool for generating Elliptic curve domain parameters
* Copyright (C) 2017-2018 J08nY
*/
/**
* @file p1363.h
*/
#ifndef ECGEN_CM_P1363_H
#define ECGEN_CM_P1363_H
#include <pari/pari.h>
typedef struct {
GEN A;
GEN B;
GEN C;
long m8;
long I;
long J;
long K;
GEN L;
GEN M;
GEN N;
GEN lambda;
GEN theta;
} p1363_form_t;
/**
* Compute all the primitive reduced quadratic forms for a given discriminant.
* @param D
* @param forms
* @return
*/
size_t p1363_forms(GEN D, p1363_form_t ***forms);
/**
* Free the computed quadratic forms.
* @param forms
* @param nforms
*/
void p1363_free(p1363_form_t ***forms, size_t nforms);
/**
* Compute the class invariant for discriminant D and form.
* @param D
* @param form
* @param precision
* @return
*/
GEN p1363_invariant(GEN D, p1363_form_t *form, long precision);
/**
* Bit-precision computation for a Weber class polynomial from:
* On the Efficient Generation of Elliptic Curves,
* Elisavet Konstantinou, Yiannis C. Stamatiou, Christos Zaroliagis
* @param D
* @param forms
* @param nforms
* @return The pari precision required for W_D.
*/
long p1363_bit_precision(GEN D, p1363_form_t **forms, size_t nforms);
/**
* Compute the reduced Webe class polynomial for discriminant D and quadratic
* forms.
* @param D
* @param forms
* @param nforms
* @return
*/
GEN p1363_poly(GEN D, p1363_form_t **forms, size_t nforms);
GEN p1363_polclass(GEN D);
#endif // ECGEN_CM_P1363_H
|
