/* Copyright 2016 Brian Smith. * * 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 AUTHORS DISCLAIM ALL WARRANTIES * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHORS 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. */ #include "limbs.h" #if defined(_MSC_VER) && !defined(__clang__) #pragma warning(push, 3) #include #pragma warning(pop) /* MSVC 2015 RC, when compiling for x86 with /Ox (at least), miscompiles * _addcarry_u32(c, 0, prod_hi, &x) like so: * * add eax,esi ; The previous add that might have set the carry flag. * xor esi,esi ; OOPS! Carry flag is now reset! * mov dword ptr [edi-4],eax * adc esi,dword ptr [prod_hi] * * We test with MSVC 2015 update 2, so make sure we're using a version at least * as new as that. */ #if _MSC_FULL_VER < 190023918 #error "MSVC 2015 Update 2 or later is required." #endif typedef uint8_t Carry; #if LIMB_BITS == 64 #pragma intrinsic(_addcarry_u64, _subborrow_u64) #define GFp_ADDCARRY_INTRINSIC _addcarry_u64 #define GFp_SUBBORROW_INTRINSIC _subborrow_u64 #elif LIMB_BITS == 32 #pragma intrinsic(_addcarry_u32, _subborrow_u32) #define GFp_ADDCARRY_INTRINSIC _addcarry_u32 #define GFp_SUBBORROW_INTRINSIC _subborrow_u32 typedef uint64_t DoubleLimb; #endif #else typedef Limb Carry; #if LIMB_BITS == 64 typedef __uint128_t DoubleLimb; #elif LIMB_BITS == 32 typedef uint64_t DoubleLimb; #endif #endif /* |*r = a + b + carry_in|, returning carry out bit. |carry_in| must be 0 or 1. */ static inline Carry limb_adc(Limb *r, Limb a, Limb b, Carry carry_in) { ASSERT(carry_in == 0 || carry_in == 1); Carry ret; #if defined(GFp_ADDCARRY_INTRINSIC) ret = GFp_ADDCARRY_INTRINSIC(carry_in, a, b, r); #else DoubleLimb x = (DoubleLimb)a + b + carry_in; *r = (Limb)x; ret = (Carry)(x >> LIMB_BITS); #endif ASSERT(ret == 0 || ret == 1); return ret; } /* |*r = a + b|, returning carry bit. */ static inline Carry limb_add(Limb *r, Limb a, Limb b) { Carry ret; #if defined(GFp_ADDCARRY_INTRINSIC) ret = GFp_ADDCARRY_INTRINSIC(0, a, b, r); #else DoubleLimb x = (DoubleLimb)a + b; *r = (Limb)x; ret = (Carry)(x >> LIMB_BITS); #endif ASSERT(ret == 0 || ret == 1); return ret; } /* |*r = a - b - borrow_in|, returning the borrow out bit. |borrow_in| must be * 0 or 1. */ static inline Carry limb_sbb(Limb *r, Limb a, Limb b, Carry borrow_in) { ASSERT(borrow_in == 0 || borrow_in == 1); Carry ret; #if defined(GFp_SUBBORROW_INTRINSIC) ret = GFp_SUBBORROW_INTRINSIC(borrow_in, a, b, r); #else DoubleLimb x = (DoubleLimb)a - b - borrow_in; *r = (Limb)x; ret = (Carry)((x >> LIMB_BITS) & 1); #endif ASSERT(ret == 0 || ret == 1); return ret; } /* |*r = a - b|, returning borrow bit. */ static inline Carry limb_sub(Limb *r, Limb a, Limb b) { Carry ret; #if defined(GFp_SUBBORROW_INTRINSIC) ret = GFp_SUBBORROW_INTRINSIC(0, a, b, r); #else DoubleLimb x = (DoubleLimb)a - b; *r = (Limb)x; ret = (Carry)((x >> LIMB_BITS) & 1); #endif ASSERT(ret == 0 || ret == 1); return ret; } static inline Carry limbs_add(Limb r[], const Limb a[], const Limb b[], size_t num_limbs) { ASSERT(num_limbs >= 1); Carry carry = limb_add(&r[0], a[0], b[0]); for (size_t i = 1; i < num_limbs; ++i) { carry = limb_adc(&r[i], a[i], b[i], carry); } return carry; } /* |r -= s|, returning the borrow. */ static inline Carry limbs_sub(Limb r[], const Limb a[], const Limb b[], size_t num_limbs) { ASSERT(num_limbs >= 1); Carry borrow = limb_sub(&r[0], a[0], b[0]); for (size_t i = 1; i < num_limbs; ++i) { borrow = limb_sbb(&r[i], a[i], b[i], borrow); } return borrow; } static inline void limbs_copy(Limb r[], const Limb a[], size_t num_limbs) { for (size_t i = 0; i < num_limbs; ++i) { r[i] = a[i]; } } static inline void limbs_select(Limb r[], const Limb table[], size_t num_limbs, size_t num_entries, crypto_word index) { for (size_t i = 0; i < num_limbs; ++i) { r[i] = 0; } for (size_t e = 0; e < num_entries; ++e) { Limb equal = constant_time_eq_w(index, e); for (size_t i = 0; i < num_limbs; ++i) { r[i] = constant_time_select_w(equal, table[(e * num_limbs) + i], r[i]); } } } static inline void limbs_zero(Limb r[], size_t num_limbs) { for (size_t i = 0; i < num_limbs; ++i) { r[i] = 0; } }