mirror of
https://github.com/dolphin-emu/dolphin.git
synced 2024-11-14 21:37:52 -07:00
75 lines
1.6 KiB
C
75 lines
1.6 KiB
C
|
#ifndef GE_H
|
||
|
|
#define GE_H
|
||
|
|
|
||
|
|
#include "fe.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)
|
||
|
|
*/
|
||
|
|
|
||
|
|
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 ge_p3_tobytes(unsigned char *s, const ge_p3 *h);
|
||
|
|
void ge_tobytes(unsigned char *s, const ge_p2 *h);
|
||
|
|
int ge_frombytes_negate_vartime(ge_p3 *h, const unsigned char *s);
|
||
|
|
|
||
|
|
void ge_add(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q);
|
||
|
|
void ge_sub(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q);
|
||
|
|
void ge_double_scalarmult_vartime(ge_p2 *r, const unsigned char *a, const ge_p3 *A, const unsigned char *b);
|
||
|
|
void ge_madd(ge_p1p1 *r, const ge_p3 *p, const ge_precomp *q);
|
||
|
|
void ge_msub(ge_p1p1 *r, const ge_p3 *p, const ge_precomp *q);
|
||
|
|
void ge_scalarmult_base(ge_p3 *h, const unsigned char *a);
|
||
|
|
|
||
|
|
void ge_p1p1_to_p2(ge_p2 *r, const ge_p1p1 *p);
|
||
|
|
void ge_p1p1_to_p3(ge_p3 *r, const ge_p1p1 *p);
|
||
|
|
void ge_p2_0(ge_p2 *h);
|
||
|
|
void ge_p2_dbl(ge_p1p1 *r, const ge_p2 *p);
|
||
|
|
void ge_p3_0(ge_p3 *h);
|
||
|
|
void ge_p3_dbl(ge_p1p1 *r, const ge_p3 *p);
|
||
|
|
void ge_p3_to_cached(ge_cached *r, const ge_p3 *p);
|
||
|
|
void ge_p3_to_p2(ge_p2 *r, const ge_p3 *p);
|
||
|
|
|
||
|
|
#endif
|