/* ge_operations.h * * Copyright (C) 2006-2015 wolfSSL Inc. * * This file is part of wolfSSL. (formerly known as CyaSSL) * * wolfSSL is free software; you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by * the Free Software Foundation; either version 2 of the License, or * (at your option) any later version. * * wolfSSL is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU General Public License for more details. * * You should have received a copy of the GNU General Public License * along with this program; if not, write to the Free Software * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA */ /* Based On Daniel J Bernstein's ed25519 Public Domain ref10 work. */ #ifndef WOLF_CRYPT_GE_OPERATIONS_H #define WOLF_CRYPT_GE_OPERATIONS_H #include #ifdef HAVE_ED25519 #ifndef CURVED25519_SMALL #include #endif #include /* 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) */ typedef struct { fe X; fe Y; fe Z; } ge_p2; typedef struct { fe X; fe Y; fe Z; fe T; } ge_p3; WOLFSSL_LOCAL int ge_compress_key(byte* out, const byte* xIn, const byte* yIn, word32 keySz); WOLFSSL_LOCAL int ge_frombytes_negate_vartime(ge_p3 *,const unsigned char *); WOLFSSL_LOCAL int ge_double_scalarmult_vartime(ge_p2 *,const unsigned char *, const ge_p3 *,const unsigned char *); WOLFSSL_LOCAL void ge_scalarmult_base(ge_p3 *,const unsigned char *); WOLFSSL_LOCAL void sc_reduce(byte* s); WOLFSSL_LOCAL void sc_muladd(byte* s, const byte* a, const byte* b, const byte* c); WOLFSSL_LOCAL void ge_tobytes(unsigned char *,const ge_p2 *); WOLFSSL_LOCAL void ge_p3_tobytes(unsigned char *,const ge_p3 *); #ifndef CURVED25519_SMALL typedef struct { fe X; fe Y; fe Z; fe T; } ge_p1p1; typedef struct { fe yplusx; fe yminusx; fe xy2d; } ge_precomp; typedef struct { fe YplusX; fe YminusX; fe Z; fe T2d; } ge_cached; WOLFSSL_LOCAL void ge_p2_0(ge_p2 *); WOLFSSL_LOCAL void ge_p3_0(ge_p3 *); WOLFSSL_LOCAL void ge_precomp_0(ge_precomp *); WOLFSSL_LOCAL void ge_p3_to_p2(ge_p2 *,const ge_p3 *); WOLFSSL_LOCAL void ge_p3_to_cached(ge_cached *,const ge_p3 *); WOLFSSL_LOCAL void ge_p1p1_to_p2(ge_p2 *,const ge_p1p1 *); WOLFSSL_LOCAL void ge_p1p1_to_p3(ge_p3 *,const ge_p1p1 *); WOLFSSL_LOCAL void ge_p2_dbl(ge_p1p1 *,const ge_p2 *); WOLFSSL_LOCAL void ge_p3_dbl(ge_p1p1 *,const ge_p3 *); WOLFSSL_LOCAL void ge_madd(ge_p1p1 *,const ge_p3 *,const ge_precomp *); WOLFSSL_LOCAL void ge_msub(ge_p1p1 *,const ge_p3 *,const ge_precomp *); WOLFSSL_LOCAL void ge_add(ge_p1p1 *,const ge_p3 *,const ge_cached *); WOLFSSL_LOCAL void ge_sub(ge_p1p1 *,const ge_p3 *,const ge_cached *); #endif /* no CURVED25519_SMALL */ #endif /* HAVE_ED25519 */ #endif /* WOLF_CRYPT_GE_OPERATIONS_H */