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- /*
- * Copyright 2017-2021 The OpenSSL Project Authors. All Rights Reserved.
- * Copyright 2014 Cryptography Research, Inc.
- *
- * Licensed under the OpenSSL license (the "License"). You may not use
- * this file except in compliance with the License. You can obtain a copy
- * in the file LICENSE in the source distribution or at
- * https://www.openssl.org/source/license.html
- *
- * Originally written by Mike Hamburg
- */
- #ifndef OSSL_CRYPTO_EC_CURVE448_FIELD_H
- # define OSSL_CRYPTO_EC_CURVE448_FIELD_H
- # include "internal/constant_time.h"
- # include <string.h>
- # include <assert.h>
- # include "word.h"
- # define NLIMBS (64/sizeof(word_t))
- # define X_SER_BYTES 56
- # define SER_BYTES 56
- # if defined(__GNUC__) || defined(__clang__)
- # define INLINE_UNUSED __inline__ __attribute__((__unused__,__always_inline__))
- # define RESTRICT __restrict__
- # define ALIGNED __attribute__((__aligned__(16)))
- # else
- # define INLINE_UNUSED ossl_inline
- # define RESTRICT
- # define ALIGNED
- # endif
- typedef struct gf_s {
- word_t limb[NLIMBS];
- } ALIGNED gf_s, gf[1];
- /* RFC 7748 support */
- # define X_PUBLIC_BYTES X_SER_BYTES
- # define X_PRIVATE_BYTES X_PUBLIC_BYTES
- # define X_PRIVATE_BITS 448
- static INLINE_UNUSED void gf_copy(gf out, const gf a)
- {
- *out = *a;
- }
- static INLINE_UNUSED void gf_add_RAW(gf out, const gf a, const gf b);
- static INLINE_UNUSED void gf_sub_RAW(gf out, const gf a, const gf b);
- static INLINE_UNUSED void gf_bias(gf inout, int amount);
- static INLINE_UNUSED void gf_weak_reduce(gf inout);
- void gf_strong_reduce(gf inout);
- void gf_add(gf out, const gf a, const gf b);
- void gf_sub(gf out, const gf a, const gf b);
- void gf_mul(gf_s * RESTRICT out, const gf a, const gf b);
- void gf_mulw_unsigned(gf_s * RESTRICT out, const gf a, uint32_t b);
- void gf_sqr(gf_s * RESTRICT out, const gf a);
- mask_t gf_isr(gf a, const gf x); /** a^2 x = 1, QNR, or 0 if x=0. Return true if successful */
- mask_t gf_eq(const gf x, const gf y);
- mask_t gf_lobit(const gf x);
- mask_t gf_hibit(const gf x);
- void gf_serialize(uint8_t serial[SER_BYTES], const gf x, int with_highbit);
- mask_t gf_deserialize(gf x, const uint8_t serial[SER_BYTES], int with_hibit,
- uint8_t hi_nmask);
- # include "f_impl.h" /* Bring in the inline implementations */
- # define LIMBPERM(i) (i)
- # define LIMB_MASK(i) (((1)<<LIMB_PLACE_VALUE(i))-1)
- static const gf ZERO = {{{0}}}, ONE = {{{1}}};
- /* Square x, n times. */
- static ossl_inline void gf_sqrn(gf_s * RESTRICT y, const gf x, int n)
- {
- gf tmp;
- assert(n > 0);
- if (n & 1) {
- gf_sqr(y, x);
- n--;
- } else {
- gf_sqr(tmp, x);
- gf_sqr(y, tmp);
- n -= 2;
- }
- for (; n; n -= 2) {
- gf_sqr(tmp, y);
- gf_sqr(y, tmp);
- }
- }
- # define gf_add_nr gf_add_RAW
- /* Subtract mod p. Bias by 2 and don't reduce */
- static ossl_inline void gf_sub_nr(gf c, const gf a, const gf b)
- {
- gf_sub_RAW(c, a, b);
- gf_bias(c, 2);
- if (GF_HEADROOM < 3)
- gf_weak_reduce(c);
- }
- /* Subtract mod p. Bias by amt but don't reduce. */
- static ossl_inline void gf_subx_nr(gf c, const gf a, const gf b, int amt)
- {
- gf_sub_RAW(c, a, b);
- gf_bias(c, amt);
- if (GF_HEADROOM < amt + 1)
- gf_weak_reduce(c);
- }
- /* Mul by signed int. Not constant-time WRT the sign of that int. */
- static ossl_inline void gf_mulw(gf c, const gf a, int32_t w)
- {
- if (w > 0) {
- gf_mulw_unsigned(c, a, w);
- } else {
- gf_mulw_unsigned(c, a, -w);
- gf_sub(c, ZERO, c);
- }
- }
- /* Constant time, x = is_z ? z : y */
- static ossl_inline void gf_cond_sel(gf x, const gf y, const gf z, mask_t is_z)
- {
- size_t i;
- for (i = 0; i < NLIMBS; i++) {
- #if ARCH_WORD_BITS == 32
- x[0].limb[i] = constant_time_select_32(is_z, z[0].limb[i],
- y[0].limb[i]);
- #else
- /* Must be 64 bit */
- x[0].limb[i] = constant_time_select_64(is_z, z[0].limb[i],
- y[0].limb[i]);
- #endif
- }
- }
- /* Constant time, if (neg) x=-x; */
- static ossl_inline void gf_cond_neg(gf x, mask_t neg)
- {
- gf y;
- gf_sub(y, ZERO, x);
- gf_cond_sel(x, x, y, neg);
- }
- /* Constant time, if (swap) (x,y) = (y,x); */
- static ossl_inline void gf_cond_swap(gf x, gf_s * RESTRICT y, mask_t swap)
- {
- size_t i;
- for (i = 0; i < NLIMBS; i++) {
- #if ARCH_WORD_BITS == 32
- constant_time_cond_swap_32(swap, &(x[0].limb[i]), &(y->limb[i]));
- #else
- /* Must be 64 bit */
- constant_time_cond_swap_64(swap, &(x[0].limb[i]), &(y->limb[i]));
- #endif
- }
- }
- #endif /* OSSL_CRYPTO_EC_CURVE448_FIELD_H */
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