// 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 #if defined(__cplusplus) extern "C" { #endif #if defined(OPENSSL_X86_64) && !defined(OPENSSL_SMALL) && \ !defined(OPENSSL_WINDOWS) && !defined(OPENSSL_NO_ASM) #define BORINGSSL_X25519_X86_64 void x25519_x86_64(uint8_t out[32], const uint8_t scalar[32], const uint8_t point[32]); #endif #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 // 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]. // fe limbs are bounded by 1.125*2^26,1.125*2^25,1.125*2^26,1.125*2^25,etc. // Multiplication and carrying produce fe from fe_loose. typedef struct fe { uint32_t v[10]; } fe; // fe_loose limbs are bounded by 3.375*2^26,3.375*2^25,3.375*2^26,3.375*2^25,etc. // Addition and subtraction produce fe_loose from (fe, fe). typedef struct fe_loose { uint32_t v[10]; } fe_loose; /* 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_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; 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); enum spake2_state_t { spake2_state_init = 0, spake2_state_msg_generated, spake2_state_key_generated, }; struct spake2_ctx_st { uint8_t private_key[32]; uint8_t my_msg[32]; uint8_t password_scalar[32]; uint8_t password_hash[64]; uint8_t *my_name; size_t my_name_len; uint8_t *their_name; size_t their_name_len; enum spake2_role_t my_role; enum spake2_state_t state; char disable_password_scalar_hack; }; #if defined(__cplusplus) } // extern C #endif #endif // OPENSSL_HEADER_CURVE25519_INTERNAL_H