#ifndef curve25519_ref10_H #define curve25519_ref10_H #include #include #define fe crypto_core_curve25519_ref10_fe typedef int32_t fe[10]; /* fe means field element. Here the field is \Z/(2^255-19). An element t, entries t[0]...t[9], represents the integer t[0]+2^26 t[1]+2^51 t[2]+2^77 t[3]+2^102 t[4]+...+2^230 t[9]. Bounds on each t[i] vary depending on context. */ #define fe_frombytes crypto_core_curve25519_ref10_fe_frombytes #define fe_tobytes crypto_core_curve25519_ref10_fe_tobytes #define fe_copy crypto_core_curve25519_ref10_fe_copy #define fe_isnonzero crypto_core_curve25519_ref10_fe_isnonzero #define fe_isnegative crypto_core_curve25519_ref10_fe_isnegative #define fe_0 crypto_core_curve25519_ref10_fe_0 #define fe_1 crypto_core_curve25519_ref10_fe_1 #define fe_cmov crypto_core_curve25519_ref10_fe_cmov #define fe_add crypto_core_curve25519_ref10_fe_add #define fe_sub crypto_core_curve25519_ref10_fe_sub #define fe_neg crypto_core_curve25519_ref10_fe_neg #define fe_mul crypto_core_curve25519_ref10_fe_mul #define fe_sq crypto_core_curve25519_ref10_fe_sq #define fe_sq2 crypto_core_curve25519_ref10_fe_sq2 #define fe_invert crypto_core_curve25519_ref10_fe_invert #define fe_pow22523 crypto_core_curve25519_ref10_fe_pow22523 extern void fe_frombytes(fe,const unsigned char *); extern void fe_tobytes(unsigned char *,const fe); extern void fe_copy(fe,const fe); extern int fe_isnonzero(const fe); extern int fe_isnegative(const fe); extern void fe_0(fe); extern void fe_1(fe); extern void fe_cmov(fe,const fe,unsigned int); extern void fe_add(fe,const fe,const fe); extern void fe_sub(fe,const fe,const fe); extern void fe_neg(fe,const fe); extern void fe_mul(fe,const fe,const fe); extern void fe_sq(fe,const fe); extern void fe_sq2(fe,const fe); extern void fe_invert(fe,const fe); extern void fe_pow22523(fe,const fe); /* 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) */ #define ge_p2 crypto_core_curve25519_ref10_ge_p2 typedef struct { fe X; fe Y; fe Z; } ge_p2; #define ge_p3 crypto_core_curve25519_ref10_ge_p3 typedef struct { fe X; fe Y; fe Z; fe T; } ge_p3; #define ge_p1p1 crypto_core_curve25519_ref10_ge_p1p1 typedef struct { fe X; fe Y; fe Z; fe T; } ge_p1p1; #define ge_precomp crypto_core_curve25519_ref10_ge_precomp typedef struct { fe yplusx; fe yminusx; fe xy2d; } ge_precomp; #define ge_cached crypto_core_curve25519_ref10_ge_cached typedef struct { fe YplusX; fe YminusX; fe Z; fe T2d; } ge_cached; #define ge_frombytes_negate_vartime crypto_core_curve25519_ref10_ge_frombytes_negate_vartime #define ge_tobytes crypto_core_curve25519_ref10_ge_tobytes #define ge_p3_tobytes crypto_core_curve25519_ref10_ge_p3_tobytes #define ge_p2_0 crypto_core_curve25519_ref10_ge_p2_0 #define ge_p3_0 crypto_core_curve25519_ref10_ge_p3_0 #define ge_precomp_0 crypto_core_curve25519_ref10_ge_precomp_0 #define ge_p3_to_p2 crypto_core_curve25519_ref10_ge_p3_to_p2 #define ge_p3_to_cached crypto_core_curve25519_ref10_ge_p3_to_cached #define ge_p1p1_to_p2 crypto_core_curve25519_ref10_ge_p1p1_to_p2 #define ge_p1p1_to_p3 crypto_core_curve25519_ref10_ge_p1p1_to_p3 #define ge_p2_dbl crypto_core_curve25519_ref10_ge_p2_dbl #define ge_p3_dbl crypto_core_curve25519_ref10_ge_p3_dbl #define ge_madd crypto_core_curve25519_ref10_ge_madd #define ge_msub crypto_core_curve25519_ref10_ge_msub #define ge_add crypto_core_curve25519_ref10_ge_add #define ge_sub crypto_core_curve25519_ref10_ge_sub #define ge_scalarmult_base crypto_core_curve25519_ref10_ge_scalarmult_base #define ge_double_scalarmult_vartime crypto_core_curve25519_ref10_ge_double_scalarmult_vartime #define ge_scalarmult_vartime crypto_core_curve25519_ref10_ge_scalarmult_vartime extern void ge_tobytes(unsigned char *,const ge_p2 *); extern void ge_p3_tobytes(unsigned char *,const ge_p3 *); extern int ge_frombytes_negate_vartime(ge_p3 *,const unsigned char *); extern void ge_p2_0(ge_p2 *); extern void ge_p3_0(ge_p3 *); extern void ge_precomp_0(ge_precomp *); extern void ge_p3_to_p2(ge_p2 *,const ge_p3 *); extern void ge_p3_to_cached(ge_cached *,const ge_p3 *); extern void ge_p1p1_to_p2(ge_p2 *,const ge_p1p1 *); extern void ge_p1p1_to_p3(ge_p3 *,const ge_p1p1 *); extern void ge_p2_dbl(ge_p1p1 *,const ge_p2 *); extern void ge_p3_dbl(ge_p1p1 *,const ge_p3 *); extern void ge_madd(ge_p1p1 *,const ge_p3 *,const ge_precomp *); extern void ge_msub(ge_p1p1 *,const ge_p3 *,const ge_precomp *); extern void ge_add(ge_p1p1 *,const ge_p3 *,const ge_cached *); extern void ge_sub(ge_p1p1 *,const ge_p3 *,const ge_cached *); extern void ge_scalarmult_base(ge_p3 *,const unsigned char *); extern void ge_double_scalarmult_vartime(ge_p2 *,const unsigned char *,const ge_p3 *,const unsigned char *); extern void ge_scalarmult_vartime(ge_p3 *,const unsigned char *,const ge_p3 *); /* The set of scalars is \Z/l where l = 2^252 + 27742317777372353535851937790883648493. */ #define sc_reduce crypto_core_curve25519_ref10_sc_reduce #define sc_muladd crypto_core_curve25519_ref10_sc_muladd extern void sc_reduce(unsigned char *); extern void sc_muladd(unsigned char *,const unsigned char *,const unsigned char *,const unsigned char *); #endif