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
|
/* $OpenBSD: curve25519_internal.h,v 1.3 2019/05/11 15:55:52 tb Exp $ */
/*
* Copyright (c) 2015, Google Inc.
*
* Permission to use, copy, modify, and/or distribute this software for any
* purpose with or without fee is hereby granted, provided that the above
* copyright notice and this permission notice appear in all copies.
*
* THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
* WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
* MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY
* SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
* WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION
* OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN
* CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
*/
#ifndef HEADER_CURVE25519_INTERNAL_H
#define HEADER_CURVE25519_INTERNAL_H
#include <stdint.h>
__BEGIN_HIDDEN_DECLS
/* fe means field element. Here the field is \Z/(2^255-19). An element t,
* entries t[0]...t[9], represents the integer t[0]+2^26 t[1]+2^51 t[2]+2^77
* t[3]+2^102 t[4]+...+2^230 t[9]. Bounds on each t[i] vary depending on
* context. */
typedef int32_t fe[10];
/* ge means group element.
* Here the group is the set of pairs (x,y) of field elements (see fe.h)
* satisfying -x^2 + y^2 = 1 + d x^2y^2
* where d = -121665/121666.
*
* Representations:
* ge_p2 (projective): (X:Y:Z) satisfying x=X/Z, y=Y/Z
* ge_p3 (extended): (X:Y:Z:T) satisfying x=X/Z, y=Y/Z, XY=ZT
* ge_p1p1 (completed): ((X:Z),(Y:T)) satisfying x=X/Z, y=Y/T
* ge_precomp (Duif): (y+x,y-x,2dxy) */
typedef struct {
fe X;
fe Y;
fe Z;
} ge_p2;
typedef struct {
fe X;
fe Y;
fe Z;
fe T;
} ge_p3;
typedef struct {
fe X;
fe Y;
fe Z;
fe T;
} ge_p1p1;
typedef struct {
fe yplusx;
fe yminusx;
fe xy2d;
} ge_precomp;
typedef struct {
fe YplusX;
fe YminusX;
fe Z;
fe T2d;
} ge_cached;
void x25519_ge_tobytes(uint8_t *s, const ge_p2 *h);
int x25519_ge_frombytes_vartime(ge_p3 *h, const uint8_t *s);
void x25519_ge_p3_to_cached(ge_cached *r, const ge_p3 *p);
void x25519_ge_p1p1_to_p2(ge_p2 *r, const ge_p1p1 *p);
void x25519_ge_p1p1_to_p3(ge_p3 *r, const ge_p1p1 *p);
void x25519_ge_add(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q);
void x25519_ge_sub(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q);
void x25519_ge_scalarmult_small_precomp(ge_p3 *h, const uint8_t a[32],
const uint8_t precomp_table[15 * 2 * 32]);
void x25519_ge_scalarmult_base(ge_p3 *h, const uint8_t a[32]);
void x25519_ge_scalarmult(ge_p2 *r, const uint8_t *scalar, const ge_p3 *A);
void x25519_sc_reduce(uint8_t *s);
void x25519_public_from_private(uint8_t out_public_value[32],
const uint8_t private_key[32]);
void x25519_scalar_mult(uint8_t out[32], const uint8_t scalar[32],
const uint8_t point[32]);
void x25519_scalar_mult_generic(uint8_t out[32], const uint8_t scalar[32],
const uint8_t point[32]);
__END_HIDDEN_DECLS
#endif /* HEADER_CURVE25519_INTERNAL_H */
|
