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			168 lines
		
	
	
	
		
			4.5 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
			
		
		
	
	
			168 lines
		
	
	
	
		
			4.5 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
/*
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 * Copyright 2017-2018 The OpenSSL Project Authors. All Rights Reserved.
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 * Copyright 2014 Cryptography Research, Inc.
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 *
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 * Licensed under the OpenSSL license (the "License").  You may not use
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 * this file except in compliance with the License.  You can obtain a copy
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 * in the file LICENSE in the source distribution or at
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 * https://www.openssl.org/source/license.html
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 *
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 * Originally written by Mike Hamburg
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 */
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#ifndef OSSL_CRYPTO_EC_CURVE448_FIELD_H
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# define OSSL_CRYPTO_EC_CURVE448_FIELD_H
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# include "internal/constant_time.h"
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# include <string.h>
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# include <assert.h>
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# include "word.h"
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# define NLIMBS (64/sizeof(word_t))
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# define X_SER_BYTES 56
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# define SER_BYTES 56
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# if defined(__GNUC__) || defined(__clang__)
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#  define INLINE_UNUSED __inline__ __attribute__((__unused__,__always_inline__))
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#  define RESTRICT __restrict__
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#  define ALIGNED __attribute__((__aligned__(16)))
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# else
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#  define INLINE_UNUSED ossl_inline
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#  define RESTRICT
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#  define ALIGNED
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# endif
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typedef struct gf_s {
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    word_t limb[NLIMBS];
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} ALIGNED gf_s, gf[1];
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/* RFC 7748 support */
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# define X_PUBLIC_BYTES  X_SER_BYTES
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# define X_PRIVATE_BYTES X_PUBLIC_BYTES
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# define X_PRIVATE_BITS  448
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static INLINE_UNUSED void gf_copy(gf out, const gf a)
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{
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    *out = *a;
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}
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static INLINE_UNUSED void gf_add_RAW(gf out, const gf a, const gf b);
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static INLINE_UNUSED void gf_sub_RAW(gf out, const gf a, const gf b);
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static INLINE_UNUSED void gf_bias(gf inout, int amount);
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static INLINE_UNUSED void gf_weak_reduce(gf inout);
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void gf_strong_reduce(gf inout);
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void gf_add(gf out, const gf a, const gf b);
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void gf_sub(gf out, const gf a, const gf b);
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void gf_mul(gf_s * RESTRICT out, const gf a, const gf b);
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void gf_mulw_unsigned(gf_s * RESTRICT out, const gf a, uint32_t b);
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void gf_sqr(gf_s * RESTRICT out, const gf a);
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mask_t gf_isr(gf a, const gf x); /** a^2 x = 1, QNR, or 0 if x=0.  Return true if successful */
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mask_t gf_eq(const gf x, const gf y);
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mask_t gf_lobit(const gf x);
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mask_t gf_hibit(const gf x);
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void gf_serialize(uint8_t *serial, const gf x, int with_highbit);
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mask_t gf_deserialize(gf x, const uint8_t serial[SER_BYTES], int with_hibit,
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                      uint8_t hi_nmask);
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# include "f_impl.h"            /* Bring in the inline implementations */
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# define LIMBPERM(i) (i)
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# define LIMB_MASK(i) (((1)<<LIMB_PLACE_VALUE(i))-1)
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static const gf ZERO = {{{0}}}, ONE = {{{1}}};
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/* Square x, n times. */
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static ossl_inline void gf_sqrn(gf_s * RESTRICT y, const gf x, int n)
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{
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    gf tmp;
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    assert(n > 0);
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    if (n & 1) {
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        gf_sqr(y, x);
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        n--;
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    } else {
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        gf_sqr(tmp, x);
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        gf_sqr(y, tmp);
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        n -= 2;
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    }
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    for (; n; n -= 2) {
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        gf_sqr(tmp, y);
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        gf_sqr(y, tmp);
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    }
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}
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# define gf_add_nr gf_add_RAW
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/* Subtract mod p.  Bias by 2 and don't reduce  */
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static ossl_inline void gf_sub_nr(gf c, const gf a, const gf b)
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{
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    gf_sub_RAW(c, a, b);
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    gf_bias(c, 2);
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    if (GF_HEADROOM < 3)
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        gf_weak_reduce(c);
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}
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/* Subtract mod p. Bias by amt but don't reduce.  */
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static ossl_inline void gf_subx_nr(gf c, const gf a, const gf b, int amt)
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{
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    gf_sub_RAW(c, a, b);
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    gf_bias(c, amt);
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    if (GF_HEADROOM < amt + 1)
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        gf_weak_reduce(c);
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}
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/* Mul by signed int.  Not constant-time WRT the sign of that int. */
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static ossl_inline void gf_mulw(gf c, const gf a, int32_t w)
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{
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    if (w > 0) {
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        gf_mulw_unsigned(c, a, w);
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    } else {
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        gf_mulw_unsigned(c, a, -w);
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        gf_sub(c, ZERO, c);
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    }
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}
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/* Constant time, x = is_z ? z : y */
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static ossl_inline void gf_cond_sel(gf x, const gf y, const gf z, mask_t is_z)
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{
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    size_t i;
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    for (i = 0; i < NLIMBS; i++) {
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#if ARCH_WORD_BITS == 32
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        x[0].limb[i] = constant_time_select_32(is_z, z[0].limb[i],
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                                               y[0].limb[i]);
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#else
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        /* Must be 64 bit */
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        x[0].limb[i] = constant_time_select_64(is_z, z[0].limb[i],
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                                               y[0].limb[i]);
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#endif
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    }
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}
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/* Constant time, if (neg) x=-x; */
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static ossl_inline void gf_cond_neg(gf x, mask_t neg)
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{
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    gf y;
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    gf_sub(y, ZERO, x);
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    gf_cond_sel(x, x, y, neg);
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}
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/* Constant time, if (swap) (x,y) = (y,x); */
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static ossl_inline void gf_cond_swap(gf x, gf_s * RESTRICT y, mask_t swap)
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{
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    size_t i;
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    for (i = 0; i < NLIMBS; i++) {
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#if ARCH_WORD_BITS == 32
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        constant_time_cond_swap_32(swap, &(x[0].limb[i]), &(y->limb[i]));
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#else
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        /* Must be 64 bit */
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        constant_time_cond_swap_64(swap, &(x[0].limb[i]), &(y->limb[i]));
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#endif
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    }
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}
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#endif                          /* OSSL_CRYPTO_EC_CURVE448_FIELD_H */
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