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Diffstat (limited to '3rd_party/ed25519/ge.h')
-rw-r--r-- | 3rd_party/ed25519/ge.h | 74 |
1 files changed, 74 insertions, 0 deletions
diff --git a/3rd_party/ed25519/ge.h b/3rd_party/ed25519/ge.h new file mode 100644 index 0000000..17fde2d --- /dev/null +++ b/3rd_party/ed25519/ge.h | |||
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1 | #ifndef GE_H | ||
2 | #define GE_H | ||
3 | |||
4 | #include "fe.h" | ||
5 | |||
6 | |||
7 | /* | ||
8 | ge means group element. | ||
9 | |||
10 | Here the group is the set of pairs (x,y) of field elements (see fe.h) | ||
11 | satisfying -x^2 + y^2 = 1 + d x^2y^2 | ||
12 | where d = -121665/121666. | ||
13 | |||
14 | Representations: | ||
15 | ge_p2 (projective): (X:Y:Z) satisfying x=X/Z, y=Y/Z | ||
16 | ge_p3 (extended): (X:Y:Z:T) satisfying x=X/Z, y=Y/Z, XY=ZT | ||
17 | ge_p1p1 (completed): ((X:Z),(Y:T)) satisfying x=X/Z, y=Y/T | ||
18 | ge_precomp (Duif): (y+x,y-x,2dxy) | ||
19 | */ | ||
20 | |||
21 | typedef struct { | ||
22 | fe X; | ||
23 | fe Y; | ||
24 | fe Z; | ||
25 | } ge_p2; | ||
26 | |||
27 | typedef struct { | ||
28 | fe X; | ||
29 | fe Y; | ||
30 | fe Z; | ||
31 | fe T; | ||
32 | } ge_p3; | ||
33 | |||
34 | typedef struct { | ||
35 | fe X; | ||
36 | fe Y; | ||
37 | fe Z; | ||
38 | fe T; | ||
39 | } ge_p1p1; | ||
40 | |||
41 | typedef struct { | ||
42 | fe yplusx; | ||
43 | fe yminusx; | ||
44 | fe xy2d; | ||
45 | } ge_precomp; | ||
46 | |||
47 | typedef struct { | ||
48 | fe YplusX; | ||
49 | fe YminusX; | ||
50 | fe Z; | ||
51 | fe T2d; | ||
52 | } ge_cached; | ||
53 | |||
54 | void ge_p3_tobytes(unsigned char *s, const ge_p3 *h); | ||
55 | void ge_tobytes(unsigned char *s, const ge_p2 *h); | ||
56 | int ge_frombytes_negate_vartime(ge_p3 *h, const unsigned char *s); | ||
57 | |||
58 | void ge_add(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q); | ||
59 | void ge_sub(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q); | ||
60 | void ge_double_scalarmult_vartime(ge_p2 *r, const unsigned char *a, const ge_p3 *A, const unsigned char *b); | ||
61 | void ge_madd(ge_p1p1 *r, const ge_p3 *p, const ge_precomp *q); | ||
62 | void ge_msub(ge_p1p1 *r, const ge_p3 *p, const ge_precomp *q); | ||
63 | void ge_scalarmult_base(ge_p3 *h, const unsigned char *a); | ||
64 | |||
65 | void ge_p1p1_to_p2(ge_p2 *r, const ge_p1p1 *p); | ||
66 | void ge_p1p1_to_p3(ge_p3 *r, const ge_p1p1 *p); | ||
67 | void ge_p2_0(ge_p2 *h); | ||
68 | void ge_p2_dbl(ge_p1p1 *r, const ge_p2 *p); | ||
69 | void ge_p3_0(ge_p3 *h); | ||
70 | void ge_p3_dbl(ge_p1p1 *r, const ge_p3 *p); | ||
71 | void ge_p3_to_cached(ge_cached *r, const ge_p3 *p); | ||
72 | void ge_p3_to_p2(ge_p2 *r, const ge_p3 *p); | ||
73 | |||
74 | #endif | ||