/* * Copyright (c) 2015, Google Inc. * * Permission to use, copy, modify, and/or distribute this software for any * purpose with or without fee is hereby granted, provided that the above * copyright notice and this permission notice appear in all copies. * * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY * SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION * OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN * CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. */ #ifndef HEADER_CURVE25519_INTERNAL_H #define HEADER_CURVE25519_INTERNAL_H #include __BEGIN_HIDDEN_DECLS /* 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. */ typedef int32_t fe[10]; /* 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; 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; void x25519_ge_tobytes(uint8_t *s, const ge_p2 *h); int x25519_ge_frombytes_vartime(ge_p3 *h, const uint8_t *s); void x25519_ge_p3_to_cached(ge_cached *r, const ge_p3 *p); void x25519_ge_p1p1_to_p2(ge_p2 *r, const ge_p1p1 *p); void x25519_ge_p1p1_to_p3(ge_p3 *r, const ge_p1p1 *p); void x25519_ge_add(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q); void x25519_ge_sub(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q); void x25519_ge_scalarmult_small_precomp(ge_p3 *h, const uint8_t a[32], const uint8_t precomp_table[15 * 2 * 32]); void x25519_ge_scalarmult_base(ge_p3 *h, const uint8_t a[32]); void x25519_ge_scalarmult(ge_p2 *r, const uint8_t *scalar, const ge_p3 *A); void x25519_sc_reduce(uint8_t *s); void x25519_public_from_private(uint8_t out_public_value[32], const uint8_t private_key[32]); void x25519_scalar_mult(uint8_t out[32], const uint8_t scalar[32], const uint8_t point[32]); void x25519_scalar_mult_generic(uint8_t out[32], const uint8_t scalar[32], const uint8_t point[32]); __END_HIDDEN_DECLS #endif /* HEADER_CURVE25519_INTERNAL_H */