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1/* $OpenBSD: curve25519_internal.h,v 1.6 2022/11/09 17:45:55 jsing Exp $ */
2/*
3 * Copyright (c) 2015, Google Inc.
4 *
5 * Permission to use, copy, modify, and/or distribute this software for any
6 * purpose with or without fee is hereby granted, provided that the above
7 * copyright notice and this permission notice appear in all copies.
8 *
9 * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
10 * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
11 * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY
12 * SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
13 * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION
14 * OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN
15 * CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
16 */
17
18#ifndef HEADER_CURVE25519_INTERNAL_H
19#define HEADER_CURVE25519_INTERNAL_H
20
21#include <stdint.h>
22
23__BEGIN_HIDDEN_DECLS
24
25/* fe means field element. Here the field is \Z/(2^255-19). An element t,
26 * entries t[0]...t[9], represents the integer t[0]+2^26 t[1]+2^51 t[2]+2^77
27 * t[3]+2^102 t[4]+...+2^230 t[9]. Bounds on each t[i] vary depending on
28 * context. */
29typedef int32_t fe[10];
30
31/* ge means group element.
32
33 * Here the group is the set of pairs (x,y) of field elements (see fe.h)
34 * satisfying -x^2 + y^2 = 1 + d x^2y^2
35 * where d = -121665/121666.
36 *
37 * Representations:
38 * ge_p2 (projective): (X:Y:Z) satisfying x=X/Z, y=Y/Z
39 * ge_p3 (extended): (X:Y:Z:T) satisfying x=X/Z, y=Y/Z, XY=ZT
40 * ge_p1p1 (completed): ((X:Z),(Y:T)) satisfying x=X/Z, y=Y/T
41 * ge_precomp (Duif): (y+x,y-x,2dxy) */
42
43typedef struct {
44 fe X;
45 fe Y;
46 fe Z;
47} ge_p2;
48
49typedef struct {
50 fe X;
51 fe Y;
52 fe Z;
53 fe T;
54} ge_p3;
55
56typedef struct {
57 fe X;
58 fe Y;
59 fe Z;
60 fe T;
61} ge_p1p1;
62
63typedef struct {
64 fe yplusx;
65 fe yminusx;
66 fe xy2d;
67} ge_precomp;
68
69typedef struct {
70 fe YplusX;
71 fe YminusX;
72 fe Z;
73 fe T2d;
74} ge_cached;
75
76void x25519_ge_tobytes(uint8_t *s, const ge_p2 *h);
77int x25519_ge_frombytes_vartime(ge_p3 *h, const uint8_t *s);
78void x25519_ge_p3_to_cached(ge_cached *r, const ge_p3 *p);
79void x25519_ge_p1p1_to_p2(ge_p2 *r, const ge_p1p1 *p);
80void x25519_ge_p1p1_to_p3(ge_p3 *r, const ge_p1p1 *p);
81void x25519_ge_add(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q);
82void x25519_ge_sub(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q);
83void x25519_ge_scalarmult_small_precomp(ge_p3 *h, const uint8_t a[32],
84 const uint8_t precomp_table[15 * 2 * 32]);
85void x25519_ge_scalarmult_base(ge_p3 *h, const uint8_t a[32]);
86void x25519_ge_scalarmult(ge_p2 *r, const uint8_t *scalar, const ge_p3 *A);
87void x25519_sc_reduce(uint8_t *s);
88
89void x25519_public_from_private(uint8_t out_public_value[32],
90 const uint8_t private_key[32]);
91
92void x25519_scalar_mult(uint8_t out[32], const uint8_t scalar[32],
93 const uint8_t point[32]);
94void x25519_scalar_mult_generic(uint8_t out[32], const uint8_t scalar[32],
95 const uint8_t point[32]);
96
97void ED25519_public_from_private(uint8_t out_public_key[32],
98 const uint8_t private_key[32]);
99
100void X25519_public_from_private(uint8_t out_public_key[32],
101 const uint8_t private_key[32]);
102
103__END_HIDDEN_DECLS
104
105#endif /* HEADER_CURVE25519_INTERNAL_H */