5 ge means group element.
7 Here the group is the set of pairs (x,y) of field elements (see fe.h)
8 satisfying -x^2 + y^2 = 1 + d x^2y^2
9 where d = -121665/121666.
12 ge_p2 (projective): (X:Y:Z) satisfying x=X/Z, y=Y/Z
13 ge_p3 (extended): (X:Y:Z:T) satisfying x=X/Z, y=Y/Z, XY=ZT
14 ge_p1p1 (completed): ((X:Z),(Y:T)) satisfying x=X/Z, y=Y/T
15 ge_precomp (Duif): (y+x,y-x,2dxy)
53 #define ge_frombytes_negate_vartime crypto_sign_ed25519_ref10_ge_frombytes_negate_vartime
54 #define ge_tobytes crypto_sign_ed25519_ref10_ge_tobytes
55 #define ge_p3_tobytes crypto_sign_ed25519_ref10_ge_p3_tobytes
57 #define ge_p2_0 crypto_sign_ed25519_ref10_ge_p2_0
58 #define ge_p3_0 crypto_sign_ed25519_ref10_ge_p3_0
59 #define ge_precomp_0 crypto_sign_ed25519_ref10_ge_precomp_0
60 #define ge_p3_to_p2 crypto_sign_ed25519_ref10_ge_p3_to_p2
61 #define ge_p3_to_cached crypto_sign_ed25519_ref10_ge_p3_to_cached
62 #define ge_p1p1_to_p2 crypto_sign_ed25519_ref10_ge_p1p1_to_p2
63 #define ge_p1p1_to_p3 crypto_sign_ed25519_ref10_ge_p1p1_to_p3
64 #define ge_p2_dbl crypto_sign_ed25519_ref10_ge_p2_dbl
65 #define ge_p3_dbl crypto_sign_ed25519_ref10_ge_p3_dbl
67 #define ge_madd crypto_sign_ed25519_ref10_ge_madd
68 #define ge_msub crypto_sign_ed25519_ref10_ge_msub
69 #define ge_add crypto_sign_ed25519_ref10_ge_add
70 #define ge_sub crypto_sign_ed25519_ref10_ge_sub
71 #define ge_scalarmult_base crypto_sign_ed25519_ref10_ge_scalarmult_base
72 #define ge_double_scalarmult_vartime crypto_sign_ed25519_ref10_ge_double_scalarmult_vartime
74 extern void ge_tobytes(unsigned char *,const ge_p2
*);
75 extern void ge_p3_tobytes(unsigned char *,const ge_p3
*);
76 extern int ge_frombytes_negate_vartime(ge_p3
*,const unsigned char *);
78 extern void ge_p2_0(ge_p2
*);
79 extern void ge_p3_0(ge_p3
*);
80 extern void ge_precomp_0(ge_precomp
*);
81 extern void ge_p3_to_p2(ge_p2
*,const ge_p3
*);
82 extern void ge_p3_to_cached(ge_cached
*,const ge_p3
*);
83 extern void ge_p1p1_to_p2(ge_p2
*,const ge_p1p1
*);
84 extern void ge_p1p1_to_p3(ge_p3
*,const ge_p1p1
*);
85 extern void ge_p2_dbl(ge_p1p1
*,const ge_p2
*);
86 extern void ge_p3_dbl(ge_p1p1
*,const ge_p3
*);
88 extern void ge_madd(ge_p1p1
*,const ge_p3
*,const ge_precomp
*);
89 extern void ge_msub(ge_p1p1
*,const ge_p3
*,const ge_precomp
*);
90 extern void ge_add(ge_p1p1
*,const ge_p3
*,const ge_cached
*);
91 extern void ge_sub(ge_p1p1
*,const ge_p3
*,const ge_cached
*);
92 extern void ge_scalarmult_base(ge_p3
*,const unsigned char *);
93 extern void ge_double_scalarmult_vartime(ge_p2
*,const unsigned char *,const ge_p3
*,const unsigned char *);