// The MIT License (MIT) // // Copyright (c) 2015-2016 the fiat-crypto authors (see the AUTHORS file). // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to deal // in the Software without restriction, including without limitation the rights // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell // copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in all // copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE // SOFTWARE. #ifndef OPENSSL_HEADER_CURVE25519_INTERNAL_H #define OPENSSL_HEADER_CURVE25519_INTERNAL_H #include #include "../../crypto/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 GFp_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]; } } static inline void fe_limbs_zero(fe_limb_t r[]) { for (size_t i = 0; i < FE_NUM_LIMBS; ++i) { r[i] = 0; } } // 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