/* Copyright (c) 2020, 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 OPENSSL_HEADER_CURVE25519_INTERNAL_H #define OPENSSL_HEADER_CURVE25519_INTERNAL_H #include #include "../internal.h" #if defined(OPENSSL_ARM) && !defined(OPENSSL_NO_ASM) && !defined(OPENSSL_APPLE) #define BORINGSSL_X25519_NEON // x25519_NEON is defined in asm/x25519-arm.S. void x25519_NEON(uint8_t out[32], const uint8_t scalar[32], const uint8_t point[32]); #endif #if defined(BORINGSSL_HAS_UINT128) #define BORINGSSL_CURVE25519_64BIT #endif #if defined(BORINGSSL_CURVE25519_64BIT) // An element t, // entries t[0]...t[4], represents the integer t[0]+2^51 t[1]+2^102 t[2]+2^153 // t[3]+2^204 t[4]. // fe limbs are bounded by 1.125*2^51. // fe_loose limbs are bounded by 3.375*2^51. typedef uint64_t fe_limb_t; #define FE_NUM_LIMBS 5 #else // 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]. // fe limbs are bounded by 1.125*2^26,1.125*2^25,1.125*2^26,1.125*2^25,etc. // fe_loose limbs are bounded by 3.375*2^26,3.375*2^25,3.375*2^26,3.375*2^25,etc. typedef uint32_t fe_limb_t; #define FE_NUM_LIMBS 10 #endif // fe means field element. Here the field is \Z/(2^255-19). // Multiplication and carrying produce fe from fe_loose. // Keep in sync with `Elem` and `ELEM_LIMBS` in curve25519/ops.rs. typedef struct fe { fe_limb_t v[FE_NUM_LIMBS]; } fe; // Addition and subtraction produce fe_loose from (fe, fe). // Keep in sync with `Elem` and `ELEM_LIMBS` in curve25519/ops.rs. typedef struct fe_loose { fe_limb_t v[FE_NUM_LIMBS]; } fe_loose; static inline void fe_limbs_copy(fe_limb_t r[], const fe_limb_t a[]) { for (size_t i = 0; i < FE_NUM_LIMBS; ++i) { r[i] = a[i]; } } // 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) // Keep in sync with `Point` in curve25519/ops.rs. typedef struct { fe X; fe Y; fe Z; } ge_p2; // Keep in sync with `ExtPoint` in curve25519/ops.rs. typedef struct { fe X; fe Y; fe Z; fe T; } ge_p3; typedef struct { fe_loose X; fe_loose Y; fe_loose Z; fe_loose T; } ge_p1p1; typedef struct { fe_loose yplusx; fe_loose yminusx; fe_loose xy2d; } ge_precomp; typedef struct { fe_loose YplusX; fe_loose YminusX; fe_loose Z; fe_loose T2d; } ge_cached; #endif // OPENSSL_HEADER_CURVE25519_INTERNAL_H