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
|
/*
* Copyright (C) 2016 Andreas Steffen
* HSR Hochschule fuer Technik Rapperswil
*
* Based on the public domain libsodium adaptation by Frank Denis
* of the SUPERCOP ref10 implementation by Daniel J. Bernstein,
* Niels Duif, Peter Schwabe, Tanja Lange and Bo-Yin Yang.
*/
/**
* @defgroup curve25519_ref10 curve25519_ref10
* @{ @ingroup curve25519_p
*/
#ifndef REF10_H_
#define REF10_H_
#include <stddef.h>
#include <stdint.h>
typedef int32_t fe[10];
/**
* 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.
*/
/**
* 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;
extern void ge_tobytes(uint8_t *, const ge_p2 *);
extern void ge_p3_tobytes(uint8_t *, const ge_p3 *);
extern int ge_frombytes_negate_vartime(ge_p3 *, const uint8_t *);
extern void ge_scalarmult_base(ge_p3 *, const uint8_t *);
extern void ge_double_scalarmult_vartime(ge_p2 *, const uint8_t *,
const ge_p3 *, const uint8_t *);
/**
* The set of scalars is \\Z/l
* where l = 2^252 + 27742317777372353535851937790883648493.
*/
extern void sc_reduce(uint8_t *);
extern void sc_muladd(uint8_t *, const uint8_t *, const uint8_t *, const uint8_t *);
#endif /** REF10_H_ @}*/
|
