mirror of
https://github.com/PurpleI2P/i2pd.git
synced 2024-11-17 21:26:04 +00:00
96 lines
2.8 KiB
C
96 lines
2.8 KiB
C
#ifndef GE_H
|
|
#define GE_H
|
|
|
|
/*
|
|
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)
|
|
*/
|
|
|
|
#include "fe.h"
|
|
|
|
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;
|
|
|
|
#define ge_frombytes_negate_vartime crypto_sign_ed25519_ref10_ge_frombytes_negate_vartime
|
|
#define ge_tobytes crypto_sign_ed25519_ref10_ge_tobytes
|
|
#define ge_p3_tobytes crypto_sign_ed25519_ref10_ge_p3_tobytes
|
|
|
|
#define ge_p2_0 crypto_sign_ed25519_ref10_ge_p2_0
|
|
#define ge_p3_0 crypto_sign_ed25519_ref10_ge_p3_0
|
|
#define ge_precomp_0 crypto_sign_ed25519_ref10_ge_precomp_0
|
|
#define ge_p3_to_p2 crypto_sign_ed25519_ref10_ge_p3_to_p2
|
|
#define ge_p3_to_cached crypto_sign_ed25519_ref10_ge_p3_to_cached
|
|
#define ge_p1p1_to_p2 crypto_sign_ed25519_ref10_ge_p1p1_to_p2
|
|
#define ge_p1p1_to_p3 crypto_sign_ed25519_ref10_ge_p1p1_to_p3
|
|
#define ge_p2_dbl crypto_sign_ed25519_ref10_ge_p2_dbl
|
|
#define ge_p3_dbl crypto_sign_ed25519_ref10_ge_p3_dbl
|
|
|
|
#define ge_madd crypto_sign_ed25519_ref10_ge_madd
|
|
#define ge_msub crypto_sign_ed25519_ref10_ge_msub
|
|
#define ge_add crypto_sign_ed25519_ref10_ge_add
|
|
#define ge_sub crypto_sign_ed25519_ref10_ge_sub
|
|
#define ge_scalarmult_base crypto_sign_ed25519_ref10_ge_scalarmult_base
|
|
#define ge_double_scalarmult_vartime crypto_sign_ed25519_ref10_ge_double_scalarmult_vartime
|
|
|
|
extern void ge_tobytes(unsigned char *,const ge_p2 *);
|
|
extern void ge_p3_tobytes(unsigned char *,const ge_p3 *);
|
|
extern int ge_frombytes_negate_vartime(ge_p3 *,const unsigned char *);
|
|
|
|
extern void ge_p2_0(ge_p2 *);
|
|
extern void ge_p3_0(ge_p3 *);
|
|
extern void ge_precomp_0(ge_precomp *);
|
|
extern void ge_p3_to_p2(ge_p2 *,const ge_p3 *);
|
|
extern void ge_p3_to_cached(ge_cached *,const ge_p3 *);
|
|
extern void ge_p1p1_to_p2(ge_p2 *,const ge_p1p1 *);
|
|
extern void ge_p1p1_to_p3(ge_p3 *,const ge_p1p1 *);
|
|
extern void ge_p2_dbl(ge_p1p1 *,const ge_p2 *);
|
|
extern void ge_p3_dbl(ge_p1p1 *,const ge_p3 *);
|
|
|
|
extern void ge_madd(ge_p1p1 *,const ge_p3 *,const ge_precomp *);
|
|
extern void ge_msub(ge_p1p1 *,const ge_p3 *,const ge_precomp *);
|
|
extern void ge_add(ge_p1p1 *,const ge_p3 *,const ge_cached *);
|
|
extern void ge_sub(ge_p1p1 *,const ge_p3 *,const ge_cached *);
|
|
extern void ge_scalarmult_base(ge_p3 *,const unsigned char *);
|
|
extern void ge_double_scalarmult_vartime(ge_p2 *,const unsigned char *,const ge_p3 *,const unsigned char *);
|
|
|
|
#endif
|