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75 lines
1.6 KiB
C
75 lines
1.6 KiB
C
#ifndef GE_H
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#define GE_H
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#include "fe.h"
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/*
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ge means group element.
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Here the group is the set of pairs (x,y) of field elements (see fe.h)
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satisfying -x^2 + y^2 = 1 + d x^2y^2
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where d = -121665/121666.
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Representations:
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ge_p2 (projective): (X:Y:Z) satisfying x=X/Z, y=Y/Z
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ge_p3 (extended): (X:Y:Z:T) satisfying x=X/Z, y=Y/Z, XY=ZT
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ge_p1p1 (completed): ((X:Z),(Y:T)) satisfying x=X/Z, y=Y/T
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ge_precomp (Duif): (y+x,y-x,2dxy)
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*/
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typedef struct {
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fe X;
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fe Y;
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fe Z;
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} ge_p2;
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typedef struct {
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fe X;
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fe Y;
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fe Z;
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fe T;
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} ge_p3;
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typedef struct {
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fe X;
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fe Y;
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fe Z;
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fe T;
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} ge_p1p1;
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typedef struct {
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fe yplusx;
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fe yminusx;
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fe xy2d;
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} ge_precomp;
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typedef struct {
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fe YplusX;
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fe YminusX;
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fe Z;
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fe T2d;
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} ge_cached;
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void ge_p3_tobytes(unsigned char *s, const ge_p3 *h);
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void ge_tobytes(unsigned char *s, const ge_p2 *h);
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int ge_frombytes_negate_vartime(ge_p3 *h, const unsigned char *s);
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void ge_add(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q);
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void ge_sub(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q);
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void ge_double_scalarmult_vartime(ge_p2 *r, const unsigned char *a, const ge_p3 *A, const unsigned char *b);
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void ge_madd(ge_p1p1 *r, const ge_p3 *p, const ge_precomp *q);
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void ge_msub(ge_p1p1 *r, const ge_p3 *p, const ge_precomp *q);
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void ge_scalarmult_base(ge_p3 *h, const unsigned char *a);
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void ge_p1p1_to_p2(ge_p2 *r, const ge_p1p1 *p);
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void ge_p1p1_to_p3(ge_p3 *r, const ge_p1p1 *p);
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void ge_p2_0(ge_p2 *h);
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void ge_p2_dbl(ge_p1p1 *r, const ge_p2 *p);
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void ge_p3_0(ge_p3 *h);
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void ge_p3_dbl(ge_p1p1 *r, const ge_p3 *p);
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void ge_p3_to_cached(ge_cached *r, const ge_p3 *p);
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void ge_p3_to_p2(ge_p2 *r, const ge_p3 *p);
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#endif
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