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96 lines
2.8 KiB
96 lines
2.8 KiB
9 years ago
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#ifndef GE_H
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#define GE_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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#include "fe.h"
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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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#define ge_frombytes_negate_vartime crypto_sign_ed25519_ref10_ge_frombytes_negate_vartime
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#define ge_tobytes crypto_sign_ed25519_ref10_ge_tobytes
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#define ge_p3_tobytes crypto_sign_ed25519_ref10_ge_p3_tobytes
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#define ge_p2_0 crypto_sign_ed25519_ref10_ge_p2_0
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#define ge_p3_0 crypto_sign_ed25519_ref10_ge_p3_0
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#define ge_precomp_0 crypto_sign_ed25519_ref10_ge_precomp_0
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#define ge_p3_to_p2 crypto_sign_ed25519_ref10_ge_p3_to_p2
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#define ge_p3_to_cached crypto_sign_ed25519_ref10_ge_p3_to_cached
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#define ge_p1p1_to_p2 crypto_sign_ed25519_ref10_ge_p1p1_to_p2
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#define ge_p1p1_to_p3 crypto_sign_ed25519_ref10_ge_p1p1_to_p3
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#define ge_p2_dbl crypto_sign_ed25519_ref10_ge_p2_dbl
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#define ge_p3_dbl crypto_sign_ed25519_ref10_ge_p3_dbl
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#define ge_madd crypto_sign_ed25519_ref10_ge_madd
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#define ge_msub crypto_sign_ed25519_ref10_ge_msub
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#define ge_add crypto_sign_ed25519_ref10_ge_add
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#define ge_sub crypto_sign_ed25519_ref10_ge_sub
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#define ge_scalarmult_base crypto_sign_ed25519_ref10_ge_scalarmult_base
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#define ge_double_scalarmult_vartime crypto_sign_ed25519_ref10_ge_double_scalarmult_vartime
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extern void ge_tobytes(unsigned char *,const ge_p2 *);
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extern void ge_p3_tobytes(unsigned char *,const ge_p3 *);
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extern int ge_frombytes_negate_vartime(ge_p3 *,const unsigned char *);
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extern void ge_p2_0(ge_p2 *);
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extern void ge_p3_0(ge_p3 *);
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extern void ge_precomp_0(ge_precomp *);
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extern void ge_p3_to_p2(ge_p2 *,const ge_p3 *);
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extern void ge_p3_to_cached(ge_cached *,const ge_p3 *);
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extern void ge_p1p1_to_p2(ge_p2 *,const ge_p1p1 *);
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extern void ge_p1p1_to_p3(ge_p3 *,const ge_p1p1 *);
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extern void ge_p2_dbl(ge_p1p1 *,const ge_p2 *);
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extern void ge_p3_dbl(ge_p1p1 *,const ge_p3 *);
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extern void ge_madd(ge_p1p1 *,const ge_p3 *,const ge_precomp *);
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extern void ge_msub(ge_p1p1 *,const ge_p3 *,const ge_precomp *);
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extern void ge_add(ge_p1p1 *,const ge_p3 *,const ge_cached *);
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extern void ge_sub(ge_p1p1 *,const ge_p3 *,const ge_cached *);
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extern void ge_scalarmult_base(ge_p3 *,const unsigned char *);
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extern void ge_double_scalarmult_vartime(ge_p2 *,const unsigned char *,const ge_p3 *,const unsigned char *);
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#endif
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