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95 lines
2.8 KiB
95 lines
2.8 KiB
#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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