+++ /dev/null
-/* $OpenBSD: bn_nist.c,v 1.25 2023/03/27 08:41:35 tb Exp $ */
-/*
- * Written by Nils Larsch for the OpenSSL project
- */
-/* ====================================================================
- * Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- * notice, this list of conditions and the following disclaimer.
- *
- * 2. Redistributions in binary form must reproduce the above copyright
- * notice, this list of conditions and the following disclaimer in
- * the documentation and/or other materials provided with the
- * distribution.
- *
- * 3. All advertising materials mentioning features or use of this
- * software must display the following acknowledgment:
- * "This product includes software developed by the OpenSSL Project
- * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
- *
- * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
- * endorse or promote products derived from this software without
- * prior written permission. For written permission, please contact
- * openssl-core@openssl.org.
- *
- * 5. Products derived from this software may not be called "OpenSSL"
- * nor may "OpenSSL" appear in their names without prior written
- * permission of the OpenSSL Project.
- *
- * 6. Redistributions of any form whatsoever must retain the following
- * acknowledgment:
- * "This product includes software developed by the OpenSSL Project
- * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
- *
- * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
- * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
- * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
- * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
- * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
- * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
- * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
- * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
- * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
- * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
- * OF THE POSSIBILITY OF SUCH DAMAGE.
- * ====================================================================
- *
- * This product includes cryptographic software written by Eric Young
- * (eay@cryptsoft.com). This product includes software written by Tim
- * Hudson (tjh@cryptsoft.com).
- *
- */
-
-#include <endian.h>
-#include <stdint.h>
-#include <string.h>
-
-#include "bn_local.h"
-
-#define CTASSERT(x) extern char _ctassert[(x) ? 1 : -1 ] \
- __attribute__((__unused__))
-
-#define BN_NIST_192_TOP (192+BN_BITS2-1)/BN_BITS2
-#define BN_NIST_224_TOP (224+BN_BITS2-1)/BN_BITS2
-#define BN_NIST_256_TOP (256+BN_BITS2-1)/BN_BITS2
-#define BN_NIST_384_TOP (384+BN_BITS2-1)/BN_BITS2
-#define BN_NIST_521_TOP (521+BN_BITS2-1)/BN_BITS2
-
-/* pre-computed tables are "carry-less" values of modulus*(i+1) */
-#if BN_BITS2 == 64
-static const BN_ULONG _nist_p_192[][BN_NIST_192_TOP] = {
- {0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFEULL, 0xFFFFFFFFFFFFFFFFULL},
- {0xFFFFFFFFFFFFFFFEULL, 0xFFFFFFFFFFFFFFFDULL, 0xFFFFFFFFFFFFFFFFULL},
- {0xFFFFFFFFFFFFFFFDULL, 0xFFFFFFFFFFFFFFFCULL, 0xFFFFFFFFFFFFFFFFULL}
-};
-static const BN_ULONG _nist_p_192_sqr[] = {
- 0x0000000000000001ULL, 0x0000000000000002ULL, 0x0000000000000001ULL,
- 0xFFFFFFFFFFFFFFFEULL, 0xFFFFFFFFFFFFFFFDULL, 0xFFFFFFFFFFFFFFFFULL
-};
-static const BN_ULONG _nist_p_224[][BN_NIST_224_TOP] = {
- {
- 0x0000000000000001ULL, 0xFFFFFFFF00000000ULL,
- 0xFFFFFFFFFFFFFFFFULL, 0x00000000FFFFFFFFULL
- },
- {
- 0x0000000000000002ULL, 0xFFFFFFFE00000000ULL,
- 0xFFFFFFFFFFFFFFFFULL, 0x00000001FFFFFFFFULL
- } /* this one is "carry-full" */
-};
-static const BN_ULONG _nist_p_224_sqr[] = {
- 0x0000000000000001ULL, 0xFFFFFFFE00000000ULL,
- 0xFFFFFFFFFFFFFFFFULL, 0x0000000200000000ULL,
- 0x0000000000000000ULL, 0xFFFFFFFFFFFFFFFEULL,
- 0xFFFFFFFFFFFFFFFFULL
-};
-static const BN_ULONG _nist_p_256[][BN_NIST_256_TOP] = {
- {
- 0xFFFFFFFFFFFFFFFFULL, 0x00000000FFFFFFFFULL,
- 0x0000000000000000ULL, 0xFFFFFFFF00000001ULL
- },
- {
- 0xFFFFFFFFFFFFFFFEULL, 0x00000001FFFFFFFFULL,
- 0x0000000000000000ULL, 0xFFFFFFFE00000002ULL
- },
- {
- 0xFFFFFFFFFFFFFFFDULL, 0x00000002FFFFFFFFULL,
- 0x0000000000000000ULL, 0xFFFFFFFD00000003ULL
- },
- {
- 0xFFFFFFFFFFFFFFFCULL, 0x00000003FFFFFFFFULL,
- 0x0000000000000000ULL, 0xFFFFFFFC00000004ULL
- },
- {
- 0xFFFFFFFFFFFFFFFBULL, 0x00000004FFFFFFFFULL,
- 0x0000000000000000ULL, 0xFFFFFFFB00000005ULL
- },
-};
-static const BN_ULONG _nist_p_256_sqr[] = {
- 0x0000000000000001ULL, 0xFFFFFFFE00000000ULL,
- 0xFFFFFFFFFFFFFFFFULL, 0x00000001FFFFFFFEULL,
- 0x00000001FFFFFFFEULL, 0x00000001FFFFFFFEULL,
- 0xFFFFFFFE00000001ULL, 0xFFFFFFFE00000002ULL
-};
-static const BN_ULONG _nist_p_384[][BN_NIST_384_TOP] = {
- {
- 0x00000000FFFFFFFFULL, 0xFFFFFFFF00000000ULL,
- 0xFFFFFFFFFFFFFFFEULL, 0xFFFFFFFFFFFFFFFFULL,
- 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL
- },
- {
- 0x00000001FFFFFFFEULL, 0xFFFFFFFE00000000ULL,
- 0xFFFFFFFFFFFFFFFDULL, 0xFFFFFFFFFFFFFFFFULL,
- 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL
- },
- {
- 0x00000002FFFFFFFDULL, 0xFFFFFFFD00000000ULL,
- 0xFFFFFFFFFFFFFFFCULL, 0xFFFFFFFFFFFFFFFFULL,
- 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL
- },
- {
- 0x00000003FFFFFFFCULL, 0xFFFFFFFC00000000ULL,
- 0xFFFFFFFFFFFFFFFBULL, 0xFFFFFFFFFFFFFFFFULL,
- 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL
- },
- {
- 0x00000004FFFFFFFBULL, 0xFFFFFFFB00000000ULL,
- 0xFFFFFFFFFFFFFFFAULL, 0xFFFFFFFFFFFFFFFFULL,
- 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL
- },
-};
-static const BN_ULONG _nist_p_384_sqr[] = {
- 0xFFFFFFFE00000001ULL, 0x0000000200000000ULL, 0xFFFFFFFE00000000ULL,
- 0x0000000200000000ULL, 0x0000000000000001ULL, 0x0000000000000000ULL,
- 0x00000001FFFFFFFEULL, 0xFFFFFFFE00000000ULL, 0xFFFFFFFFFFFFFFFDULL,
- 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL
-};
-static const BN_ULONG _nist_p_521[] = {
- 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL,
- 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL,
- 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0x00000000000001FFULL
-};
-static const BN_ULONG _nist_p_521_sqr[] = {
- 0x0000000000000001ULL, 0x0000000000000000ULL, 0x0000000000000000ULL,
- 0x0000000000000000ULL, 0x0000000000000000ULL, 0x0000000000000000ULL,
- 0x0000000000000000ULL, 0x0000000000000000ULL, 0xFFFFFFFFFFFFFC00ULL,
- 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL,
- 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL,
- 0xFFFFFFFFFFFFFFFFULL, 0x000000000003FFFFULL
-};
-#elif BN_BITS2 == 32
-static const BN_ULONG _nist_p_192[][BN_NIST_192_TOP] = {
- {
- 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFE, 0xFFFFFFFF,
- 0xFFFFFFFF, 0xFFFFFFFF
- },
- {
- 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFD, 0xFFFFFFFF,
- 0xFFFFFFFF, 0xFFFFFFFF
- },
- {
- 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFC, 0xFFFFFFFF,
- 0xFFFFFFFF, 0xFFFFFFFF
- }
-};
-static const BN_ULONG _nist_p_192_sqr[] = {
- 0x00000001, 0x00000000, 0x00000002, 0x00000000, 0x00000001, 0x00000000,
- 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF
-};
-static const BN_ULONG _nist_p_224[][BN_NIST_224_TOP] = {
- {
- 0x00000001, 0x00000000, 0x00000000, 0xFFFFFFFF,
- 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF
- },
- {
- 0x00000002, 0x00000000, 0x00000000, 0xFFFFFFFE,
- 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF
- }
-};
-static const BN_ULONG _nist_p_224_sqr[] = {
- 0x00000001, 0x00000000, 0x00000000, 0xFFFFFFFE,
- 0xFFFFFFFF, 0xFFFFFFFF, 0x00000000, 0x00000002,
- 0x00000000, 0x00000000, 0xFFFFFFFE, 0xFFFFFFFF,
- 0xFFFFFFFF, 0xFFFFFFFF
-};
-static const BN_ULONG _nist_p_256[][BN_NIST_256_TOP] = {
- {
- 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000000,
- 0x00000000, 0x00000000, 0x00000001, 0xFFFFFFFF
- },
- {
- 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000001,
- 0x00000000, 0x00000000, 0x00000002, 0xFFFFFFFE
- },
- {
- 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000002,
- 0x00000000, 0x00000000, 0x00000003, 0xFFFFFFFD
- },
- {
- 0xFFFFFFFC, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000003,
- 0x00000000, 0x00000000, 0x00000004, 0xFFFFFFFC
- },
- {
- 0xFFFFFFFB, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000004,
- 0x00000000, 0x00000000, 0x00000005, 0xFFFFFFFB
- },
-};
-static const BN_ULONG _nist_p_256_sqr[] = {
- 0x00000001, 0x00000000, 0x00000000, 0xFFFFFFFE,
- 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFE, 0x00000001,
- 0xFFFFFFFE, 0x00000001, 0xFFFFFFFE, 0x00000001,
- 0x00000001, 0xFFFFFFFE, 0x00000002, 0xFFFFFFFE
-};
-static const BN_ULONG _nist_p_384[][BN_NIST_384_TOP] = {
- {
- 0xFFFFFFFF, 0x00000000, 0x00000000, 0xFFFFFFFF,
- 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
- 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF
- },
- {
- 0xFFFFFFFE, 0x00000001, 0x00000000, 0xFFFFFFFE,
- 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
- 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF
- },
- {
- 0xFFFFFFFD, 0x00000002, 0x00000000, 0xFFFFFFFD,
- 0xFFFFFFFC, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
- 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF
- },
- {
- 0xFFFFFFFC, 0x00000003, 0x00000000, 0xFFFFFFFC,
- 0xFFFFFFFB, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
- 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF
- },
- {
- 0xFFFFFFFB, 0x00000004, 0x00000000, 0xFFFFFFFB,
- 0xFFFFFFFA, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
- 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF
- },
-};
-static const BN_ULONG _nist_p_384_sqr[] = {
- 0x00000001, 0xFFFFFFFE, 0x00000000, 0x00000002, 0x00000000, 0xFFFFFFFE,
- 0x00000000, 0x00000002, 0x00000001, 0x00000000, 0x00000000, 0x00000000,
- 0xFFFFFFFE, 0x00000001, 0x00000000, 0xFFFFFFFE, 0xFFFFFFFD, 0xFFFFFFFF,
- 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF
-};
-static const BN_ULONG _nist_p_521[] = {
- 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
- 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
- 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
- 0xFFFFFFFF, 0x000001FF
-};
-static const BN_ULONG _nist_p_521_sqr[] = {
- 0x00000001, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
- 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
- 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0xFFFFFC00, 0xFFFFFFFF,
- 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
- 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
- 0xFFFFFFFF, 0xFFFFFFFF, 0x0003FFFF
-};
-#else
-#error "unsupported BN_BITS2"
-#endif
-
-static const BIGNUM _bignum_nist_p_192 = {
- .d = (BN_ULONG *)_nist_p_192[0],
- .top = BN_NIST_192_TOP,
- .dmax = BN_NIST_192_TOP,
- .neg = 0,
- .flags = BN_FLG_STATIC_DATA,
-};
-
-static const BIGNUM _bignum_nist_p_192_sqr = {
- .d = (BN_ULONG *)_nist_p_192_sqr,
- .top = sizeof(_nist_p_192_sqr) / sizeof(_nist_p_192_sqr[0]),
- .dmax = sizeof(_nist_p_192_sqr) / sizeof(_nist_p_192_sqr[0]),
- .neg = 0,
- .flags = BN_FLG_STATIC_DATA,
-};
-
-static const BIGNUM _bignum_nist_p_224 = {
- .d = (BN_ULONG *)_nist_p_224[0],
- .top = BN_NIST_224_TOP,
- .dmax = BN_NIST_224_TOP,
- .neg = 0,
- .flags = BN_FLG_STATIC_DATA,
-};
-
-static const BIGNUM _bignum_nist_p_224_sqr = {
- .d = (BN_ULONG *)_nist_p_224_sqr,
- .top = sizeof(_nist_p_224_sqr) / sizeof(_nist_p_224_sqr[0]),
- .dmax = sizeof(_nist_p_224_sqr) / sizeof(_nist_p_224_sqr[0]),
- .neg = 0,
- .flags = BN_FLG_STATIC_DATA,
-};
-
-static const BIGNUM _bignum_nist_p_256 = {
- .d = (BN_ULONG *)_nist_p_256[0],
- .top = BN_NIST_256_TOP,
- .dmax = BN_NIST_256_TOP,
- .neg = 0,
- .flags = BN_FLG_STATIC_DATA,
-};
-
-static const BIGNUM _bignum_nist_p_256_sqr = {
- .d = (BN_ULONG *)_nist_p_256_sqr,
- .top = sizeof(_nist_p_256_sqr) / sizeof(_nist_p_256_sqr[0]),
- .dmax = sizeof(_nist_p_256_sqr) / sizeof(_nist_p_256_sqr[0]),
- .neg = 0,
- .flags = BN_FLG_STATIC_DATA,
-};
-
-static const BIGNUM _bignum_nist_p_384 = {
- .d = (BN_ULONG *)_nist_p_384[0],
- .top = BN_NIST_384_TOP,
- .dmax = BN_NIST_384_TOP,
- .neg = 0,
- .flags = BN_FLG_STATIC_DATA,
-};
-
-static const BIGNUM _bignum_nist_p_384_sqr = {
- .d = (BN_ULONG *)_nist_p_384_sqr,
- .top = sizeof(_nist_p_384_sqr) / sizeof(_nist_p_384_sqr[0]),
- .dmax = sizeof(_nist_p_384_sqr) / sizeof(_nist_p_384_sqr[0]),
- .neg = 0,
- .flags = BN_FLG_STATIC_DATA,
-};
-
-static const BIGNUM _bignum_nist_p_521 = {
- .d = (BN_ULONG *)_nist_p_521,
- .top = BN_NIST_521_TOP,
- .dmax = BN_NIST_521_TOP,
- .neg = 0,
- .flags = BN_FLG_STATIC_DATA,
-};
-
-static const BIGNUM _bignum_nist_p_521_sqr = {
- .d = (BN_ULONG *)_nist_p_521_sqr,
- .top = sizeof(_nist_p_521_sqr) / sizeof(_nist_p_521_sqr[0]),
- .dmax = sizeof(_nist_p_521_sqr) / sizeof(_nist_p_521_sqr[0]),
- .neg = 0,
- .flags = BN_FLG_STATIC_DATA,
-};
-
-const BIGNUM *
-BN_get0_nist_prime_192(void)
-{
- return &_bignum_nist_p_192;
-}
-
-const BIGNUM *
-BN_get0_nist_prime_224(void)
-{
- return &_bignum_nist_p_224;
-}
-
-const BIGNUM *
-BN_get0_nist_prime_256(void)
-{
- return &_bignum_nist_p_256;
-}
-
-const BIGNUM *
-BN_get0_nist_prime_384(void)
-{
- return &_bignum_nist_p_384;
-}
-
-const BIGNUM *
-BN_get0_nist_prime_521(void)
-{
- return &_bignum_nist_p_521;
-}
-
-static void
-nist_cp_bn_0(BN_ULONG *dst, const BN_ULONG *src, int top, int max)
-{
- int i;
-
- for (i = 0; i < top; i++)
- dst[i] = src[i];
- for (; i < max; i++)
- dst[i] = 0;
-}
-
-static void nist_cp_bn(BN_ULONG *dst, const BN_ULONG *src, int top)
-{
- int i;
-
- for (i = 0; i < top; i++)
- dst[i] = src[i];
-}
-
-#if BN_BITS2 == 64
-#define bn_cp_64(to, n, from, m) (to)[n] = (m>=0)?((from)[m]):0;
-#define bn_64_set_0(to, n) (to)[n] = (BN_ULONG)0;
-/*
- * two following macros are implemented under assumption that they
- * are called in a sequence with *ascending* n, i.e. as they are...
- */
-#define bn_cp_32_naked(to, n, from, m) (((n)&1)?(to[(n)/2]|=((m)&1)?(from[(m)/2]&BN_MASK2h):(from[(m)/2]<<32))\
- :(to[(n)/2] =((m)&1)?(from[(m)/2]>>32):(from[(m)/2]&BN_MASK2l)))
-#define bn_32_set_0(to, n) (((n)&1)?(to[(n)/2]&=BN_MASK2l):(to[(n)/2]=0));
-#define bn_cp_32(to,n,from,m) ((m)>=0)?bn_cp_32_naked(to,n,from,m):bn_32_set_0(to,n)
-# if BYTE_ORDER == LITTLE_ENDIAN
-# if defined(_LP64)
-# define NIST_INT64 long
-# else
-# define NIST_INT64 long long
-# endif
-# endif
-#else
-#define bn_cp_64(to, n, from, m) \
- { \
- bn_cp_32(to, (n)*2, from, (m)*2); \
- bn_cp_32(to, (n)*2+1, from, (m)*2+1); \
- }
-#define bn_64_set_0(to, n) \
- { \
- bn_32_set_0(to, (n)*2); \
- bn_32_set_0(to, (n)*2+1); \
- }
-#define bn_cp_32(to, n, from, m) (to)[n] = (m>=0)?((from)[m]):0;
-#define bn_32_set_0(to, n) (to)[n] = (BN_ULONG)0;
-# if defined(BN_LLONG)
-# define NIST_INT64 long long
-# endif
-#endif /* BN_BITS2 != 64 */
-
-#define nist_set_192(to, from, a1, a2, a3) \
- { \
- bn_cp_64(to, 0, from, (a3) - 3) \
- bn_cp_64(to, 1, from, (a2) - 3) \
- bn_cp_64(to, 2, from, (a1) - 3) \
- }
-
-int
-BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, BN_CTX *ctx)
-{
- BN_ULONG bnbuf[BN_NIST_192_TOP] = { 0 };
- BN_ULONG c_d[BN_NIST_192_TOP] = { 0 };
- BN_ULONG *a_d = a->d;
- BN_ULONG *r_d, *res;
- uintptr_t mask;
- int top = a->top;
- int carry, i;
-
- field = &_bignum_nist_p_192; /* just to make sure */
-
- if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_192_sqr) >= 0)
- return BN_nnmod(r, a, field, ctx);
-
- i = BN_ucmp(field, a);
- if (i == 0) {
- BN_zero(r);
- return 1;
- } else if (i > 0)
- return bn_copy(r, a);
-
- if (r != a) {
- if (!bn_wexpand(r, BN_NIST_192_TOP))
- return 0;
- r_d = r->d;
- nist_cp_bn(r_d, a_d, BN_NIST_192_TOP);
- } else
- r_d = a_d;
-
- nist_cp_bn_0(bnbuf, a_d + BN_NIST_192_TOP, top - BN_NIST_192_TOP,
- BN_NIST_192_TOP);
-
-#if defined(NIST_INT64)
- {
- NIST_INT64 acc; /* accumulator */
- unsigned int bbuf[BN_NIST_192_TOP *
- sizeof(BN_ULONG) / sizeof(unsigned int)];
- unsigned int rbuf[BN_NIST_192_TOP *
- sizeof(BN_ULONG) / sizeof(unsigned int)];
- const unsigned int *bp = bbuf;
- unsigned int *rp = rbuf;
-
- CTASSERT(sizeof(bbuf) == sizeof(bnbuf));
- CTASSERT(sizeof(rbuf) == sizeof(bnbuf));
-
- /*
- * Avoid strict aliasing violations by copying from an unsigned
- * long array to an unsigned int array, then copying back the
- * result. Any sensible compiler will omit the copies, while
- * avoiding undefined behaviour that would result from unsafe
- * type punning via pointer type casting.
- */
- memcpy(bbuf, bnbuf, sizeof(bbuf));
- memcpy(rbuf, r_d, sizeof(rbuf));
-
- acc = rp[0];
- acc += bp[3 * 2 - 6];
- acc += bp[5 * 2 - 6];
- rp[0] = (unsigned int)acc;
- acc >>= 32;
-
- acc += rp[1];
- acc += bp[3 * 2 - 5];
- acc += bp[5 * 2 - 5];
- rp[1] = (unsigned int)acc;
- acc >>= 32;
-
- acc += rp[2];
- acc += bp[3 * 2 - 6];
- acc += bp[4 * 2 - 6];
- acc += bp[5 * 2 - 6];
- rp[2] = (unsigned int)acc;
- acc >>= 32;
-
- acc += rp[3];
- acc += bp[3 * 2 - 5];
- acc += bp[4 * 2 - 5];
- acc += bp[5 * 2 - 5];
- rp[3] = (unsigned int)acc;
- acc >>= 32;
-
- acc += rp[4];
- acc += bp[4 * 2 - 6];
- acc += bp[5 * 2 - 6];
- rp[4] = (unsigned int)acc;
- acc >>= 32;
-
- acc += rp[5];
- acc += bp[4 * 2 - 5];
- acc += bp[5 * 2 - 5];
- rp[5] = (unsigned int)acc;
-
- memcpy(r_d, rbuf, sizeof(rbuf));
-
- carry = (int)(acc >> 32);
- }
-#else
- {
- BN_ULONG t_d[BN_NIST_192_TOP] = {0};
-
- nist_set_192(t_d, bnbuf, 0, 3, 3);
- carry = (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
- nist_set_192(t_d, bnbuf, 4, 4, 0);
- carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
- nist_set_192(t_d, bnbuf, 5, 5, 5)
- carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
- }
-#endif
- if (carry > 0)
- carry = (int)bn_sub_words(r_d, r_d, _nist_p_192[carry - 1],
- BN_NIST_192_TOP);
- else
- carry = 1;
-
- /*
- * we need 'if (carry==0 || result>=modulus) result-=modulus;'
- * as comparison implies subtraction, we can write
- * 'tmp=result-modulus; if (!carry || !borrow) result=tmp;'
- * this is what happens below, but without explicit if:-) a.
- */
- mask = 0 - (uintptr_t)bn_sub_words(c_d, r_d, _nist_p_192[0],
- BN_NIST_192_TOP);
- mask &= 0 - (uintptr_t)carry;
- res = c_d;
- res = (BN_ULONG *)(((uintptr_t)res & ~mask) | ((uintptr_t)r_d & mask));
- nist_cp_bn(r_d, res, BN_NIST_192_TOP);
- r->top = BN_NIST_192_TOP;
- bn_correct_top(r);
-
- return 1;
-}
-
-typedef BN_ULONG (*bn_addsub_f)(BN_ULONG *, const BN_ULONG *,
- const BN_ULONG *, int);
-
-#define nist_set_224(to, from, a1, a2, a3, a4, a5, a6, a7) \
- { \
- bn_cp_32(to, 0, from, (a7) - 7) \
- bn_cp_32(to, 1, from, (a6) - 7) \
- bn_cp_32(to, 2, from, (a5) - 7) \
- bn_cp_32(to, 3, from, (a4) - 7) \
- bn_cp_32(to, 4, from, (a3) - 7) \
- bn_cp_32(to, 5, from, (a2) - 7) \
- bn_cp_32(to, 6, from, (a1) - 7) \
- }
-
-int
-BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, BN_CTX *ctx)
-{
- BN_ULONG bnbuf[BN_NIST_224_TOP] = { 0 };
- BN_ULONG c_d[BN_NIST_224_TOP] = { 0 };
- BN_ULONG *a_d = a->d;
- BN_ULONG *r_d, *res;
- bn_addsub_f addsubf;
- uintptr_t mask;
- int top = a->top;
- int carry, i;
-
- field = &_bignum_nist_p_224; /* just to make sure */
-
- if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_224_sqr) >= 0)
- return BN_nnmod(r, a, field, ctx);
-
- i = BN_ucmp(field, a);
- if (i == 0) {
- BN_zero(r);
- return 1;
- } else if (i > 0)
- return bn_copy(r, a);
-
- if (r != a) {
- if (!bn_wexpand(r, BN_NIST_224_TOP))
- return 0;
- r_d = r->d;
- nist_cp_bn(r_d, a_d, BN_NIST_224_TOP);
- } else
- r_d = a_d;
-
- memset(&bnbuf, 0, sizeof(bnbuf));
-
-#if BN_BITS2==64
- /* copy upper 256 bits of 448 bit number ... */
- nist_cp_bn_0(c_d, a_d + (BN_NIST_224_TOP - 1),
- top - (BN_NIST_224_TOP - 1), BN_NIST_224_TOP);
- /* ... and right shift by 32 to obtain upper 224 bits */
- nist_set_224(bnbuf, c_d, 14, 13, 12, 11, 10, 9, 8);
- /* truncate lower part to 224 bits too */
- r_d[BN_NIST_224_TOP - 1] &= BN_MASK2l;
-#else
- nist_cp_bn_0(bnbuf, a_d + BN_NIST_224_TOP,
- top - BN_NIST_224_TOP, BN_NIST_224_TOP);
-#endif
-
-#if defined(NIST_INT64) && BN_BITS2!=64
- {
- NIST_INT64 acc; /* accumulator */
- unsigned int bbuf[BN_NIST_224_TOP *
- sizeof(BN_ULONG) / sizeof(unsigned int)];
- unsigned int rbuf[BN_NIST_224_TOP *
- sizeof(BN_ULONG) / sizeof(unsigned int)];
- const unsigned int *bp = bbuf;
- unsigned int *rp = rbuf;
-
- CTASSERT(sizeof(bbuf) == sizeof(bnbuf));
- CTASSERT(sizeof(rbuf) == sizeof(bnbuf));
-
- /*
- * Avoid strict aliasing violations by copying from an unsigned
- * long array to an unsigned int array, then copying back the
- * result. Any sensible compiler will omit the copies, while
- * avoiding undefined behaviour that would result from unsafe
- * type punning via pointer type casting.
- */
- memcpy(bbuf, bnbuf, sizeof(bbuf));
- memcpy(rbuf, r_d, sizeof(rbuf));
-
- acc = rp[0];
- acc -= bp[7 - 7];
- acc -= bp[11 - 7];
- rp[0] = (unsigned int)acc;
- acc >>= 32;
-
- acc += rp[1];
- acc -= bp[8 - 7];
- acc -= bp[12 - 7];
- rp[1] = (unsigned int)acc;
- acc >>= 32;
-
- acc += rp[2];
- acc -= bp[9 - 7];
- acc -= bp[13 - 7];
- rp[2] = (unsigned int)acc;
- acc >>= 32;
-
- acc += rp[3];
- acc += bp[7 - 7];
- acc += bp[11 - 7];
- acc -= bp[10 - 7];
- rp[3] = (unsigned int)acc;
- acc >>= 32;
-
- acc += rp[4];
- acc += bp[8 - 7];
- acc += bp[12 - 7];
- acc -= bp[11 - 7];
- rp[4] = (unsigned int)acc;
- acc >>= 32;
-
- acc += rp[5];
- acc += bp[9 - 7];
- acc += bp[13 - 7];
- acc -= bp[12 - 7];
- rp[5] = (unsigned int)acc;
- acc >>= 32;
-
- acc += rp[6];
- acc += bp[10 - 7];
- acc -= bp[13 - 7];
- rp[6] = (unsigned int)acc;
-
- memcpy(r_d, rbuf, sizeof(rbuf));
-
- carry = (int)(acc >> 32);
-# if BN_BITS2==64
- rp[7] = carry;
-# endif
- }
-#else
- {
- BN_ULONG t_d[BN_NIST_224_TOP] = {0};
-
- nist_set_224(t_d, bnbuf, 10, 9, 8, 7, 0, 0, 0);
- carry = (int)bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP);
- nist_set_224(t_d, bnbuf, 0, 13, 12, 11, 0, 0, 0);
- carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP);
- nist_set_224(t_d, bnbuf, 13, 12, 11, 10, 9, 8, 7);
- carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP);
- nist_set_224(t_d, bnbuf, 0, 0, 0, 0, 13, 12, 11);
- carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP);
-
-#if BN_BITS2==64
- carry = (int)(r_d[BN_NIST_224_TOP - 1] >> 32);
-#endif
- }
-#endif
- addsubf = bn_sub_words;
- if (carry > 0) {
- carry = (int)bn_sub_words(r_d, r_d, _nist_p_224[carry - 1],
- BN_NIST_224_TOP);
-#if BN_BITS2==64
- carry = (int)(~(r_d[BN_NIST_224_TOP - 1] >> 32)) & 1;
-#endif
- } else if (carry < 0) {
- /* it's a bit more complicated logic in this case.
- * if bn_add_words yields no carry, then result
- * has to be adjusted by unconditionally *adding*
- * the modulus. but if it does, then result has
- * to be compared to the modulus and conditionally
- * adjusted by *subtracting* the latter. */
- carry = (int)bn_add_words(r_d, r_d, _nist_p_224[-carry - 1],
- BN_NIST_224_TOP);
- if (carry == 0)
- addsubf = bn_add_words;
- } else
- carry = 1;
-
- /* otherwise it's effectively same as in BN_nist_mod_192... */
- mask = 0 - (uintptr_t)(*addsubf)(c_d, r_d, _nist_p_224[0], BN_NIST_224_TOP);
- mask &= 0 - (uintptr_t)carry;
- res = c_d;
- res = (BN_ULONG *)(((uintptr_t)res & ~mask) | ((uintptr_t)r_d & mask));
- nist_cp_bn(r_d, res, BN_NIST_224_TOP);
- r->top = BN_NIST_224_TOP;
- bn_correct_top(r);
-
- return 1;
-}
-
-#define nist_set_256(to, from, a1, a2, a3, a4, a5, a6, a7, a8) \
- { \
- bn_cp_32(to, 0, from, (a8) - 8) \
- bn_cp_32(to, 1, from, (a7) - 8) \
- bn_cp_32(to, 2, from, (a6) - 8) \
- bn_cp_32(to, 3, from, (a5) - 8) \
- bn_cp_32(to, 4, from, (a4) - 8) \
- bn_cp_32(to, 5, from, (a3) - 8) \
- bn_cp_32(to, 6, from, (a2) - 8) \
- bn_cp_32(to, 7, from, (a1) - 8) \
- }
-
-int
-BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, BN_CTX *ctx)
-{
- BN_ULONG bnbuf[BN_NIST_256_TOP] = { 0 };
- BN_ULONG c_d[BN_NIST_256_TOP] = { 0 };
- BN_ULONG *a_d = a->d;
- BN_ULONG *r_d, *res;
- bn_addsub_f addsubf;
- uintptr_t mask;
- int top = a->top;
- int carry, i;
-
- field = &_bignum_nist_p_256; /* just to make sure */
-
- if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_256_sqr) >= 0)
- return BN_nnmod(r, a, field, ctx);
-
- i = BN_ucmp(field, a);
- if (i == 0) {
- BN_zero(r);
- return 1;
- } else if (i > 0)
- return bn_copy(r, a);
-
- if (r != a) {
- if (!bn_wexpand(r, BN_NIST_256_TOP))
- return 0;
- r_d = r->d;
- nist_cp_bn(r_d, a_d, BN_NIST_256_TOP);
- } else
- r_d = a_d;
-
- nist_cp_bn_0(bnbuf, a_d + BN_NIST_256_TOP,
- top - BN_NIST_256_TOP, BN_NIST_256_TOP);
-
-#if defined(NIST_INT64)
- {
- NIST_INT64 acc; /* accumulator */
- unsigned int bbuf[BN_NIST_256_TOP *
- sizeof(BN_ULONG) / sizeof(unsigned int)];
- unsigned int rbuf[BN_NIST_256_TOP *
- sizeof(BN_ULONG) / sizeof(unsigned int)];
- const unsigned int *bp = bbuf;
- unsigned int *rp = rbuf;
-
- CTASSERT(sizeof(bbuf) == sizeof(bnbuf));
- CTASSERT(sizeof(rbuf) == sizeof(bnbuf));
-
- /*
- * Avoid strict aliasing violations by copying from an unsigned
- * long array to an unsigned int array, then copying back the
- * result. Any sensible compiler will omit the copies, while
- * avoiding undefined behaviour that would result from unsafe
- * type punning via pointer type casting.
- */
- memcpy(bbuf, bnbuf, sizeof(bbuf));
- memcpy(rbuf, r_d, sizeof(rbuf));
-
- acc = rp[0];
- acc += bp[8 - 8];
- acc += bp[9 - 8];
- acc -= bp[11 - 8];
- acc -= bp[12 - 8];
- acc -= bp[13 - 8];
- acc -= bp[14 - 8];
- rp[0] = (unsigned int)acc;
- acc >>= 32;
-
- acc += rp[1];
- acc += bp[9 - 8];
- acc += bp[10 - 8];
- acc -= bp[12 - 8];
- acc -= bp[13 - 8];
- acc -= bp[14 - 8];
- acc -= bp[15 - 8];
- rp[1] = (unsigned int)acc;
- acc >>= 32;
-
- acc += rp[2];
- acc += bp[10 - 8];
- acc += bp[11 - 8];
- acc -= bp[13 - 8];
- acc -= bp[14 - 8];
- acc -= bp[15 - 8];
- rp[2] = (unsigned int)acc;
- acc >>= 32;
-
- acc += rp[3];
- acc += bp[11 - 8];
- acc += bp[11 - 8];
- acc += bp[12 - 8];
- acc += bp[12 - 8];
- acc += bp[13 - 8];
- acc -= bp[15 - 8];
- acc -= bp[8 - 8];
- acc -= bp[9 - 8];
- rp[3] = (unsigned int)acc;
- acc >>= 32;
-
- acc += rp[4];
- acc += bp[12 - 8];
- acc += bp[12 - 8];
- acc += bp[13 - 8];
- acc += bp[13 - 8];
- acc += bp[14 - 8];
- acc -= bp[9 - 8];
- acc -= bp[10 - 8];
- rp[4] = (unsigned int)acc;
- acc >>= 32;
-
- acc += rp[5];
- acc += bp[13 - 8];
- acc += bp[13 - 8];
- acc += bp[14 - 8];
- acc += bp[14 - 8];
- acc += bp[15 - 8];
- acc -= bp[10 - 8];
- acc -= bp[11 - 8];
- rp[5] = (unsigned int)acc;
- acc >>= 32;
-
- acc += rp[6];
- acc += bp[14 - 8];
- acc += bp[14 - 8];
- acc += bp[15 - 8];
- acc += bp[15 - 8];
- acc += bp[14 - 8];
- acc += bp[13 - 8];
- acc -= bp[8 - 8];
- acc -= bp[9 - 8];
- rp[6] = (unsigned int)acc;
- acc >>= 32;
-
- acc += rp[7];
- acc += bp[15 - 8];
- acc += bp[15 - 8];
- acc += bp[15 - 8];
- acc += bp[8 - 8];
- acc -= bp[10 - 8];
- acc -= bp[11 - 8];
- acc -= bp[12 - 8];
- acc -= bp[13 - 8];
- rp[7] = (unsigned int)acc;
-
- memcpy(r_d, rbuf, sizeof(rbuf));
-
- carry = (int)(acc >> 32);
- }
-#else
- {
- BN_ULONG t_d[BN_NIST_256_TOP] = {0};
-
- /*S1*/
- nist_set_256(t_d, bnbuf, 15, 14, 13, 12, 11, 0, 0, 0);
- /*S2*/
- nist_set_256(c_d, bnbuf, 0, 15, 14, 13, 12, 0, 0, 0);
- carry = (int)bn_add_words(t_d, t_d, c_d, BN_NIST_256_TOP);
- /* left shift */
- {
- BN_ULONG *ap, t, c;
- ap = t_d;
- c = 0;
- for (i = BN_NIST_256_TOP; i != 0; --i) {
- t = *ap;
- *(ap++) = ((t << 1) | c) & BN_MASK2;
- c = (t & BN_TBIT) ? 1 : 0;
- }
- carry <<= 1;
- carry |= c;
- }
- carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
- /*S3*/
- nist_set_256(t_d, bnbuf, 15, 14, 0, 0, 0, 10, 9, 8);
- carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
- /*S4*/
- nist_set_256(t_d, bnbuf, 8, 13, 15, 14, 13, 11, 10, 9);
- carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
- /*D1*/
- nist_set_256(t_d, bnbuf, 10, 8, 0, 0, 0, 13, 12, 11);
- carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
- /*D2*/
- nist_set_256(t_d, bnbuf, 11, 9, 0, 0, 15, 14, 13, 12);
- carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
- /*D3*/
- nist_set_256(t_d, bnbuf, 12, 0, 10, 9, 8, 15, 14, 13);
- carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
- /*D4*/
- nist_set_256(t_d, bnbuf, 13, 0, 11, 10, 9, 0, 15, 14);
- carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
-
- }
-#endif
- /* see BN_nist_mod_224 for explanation */
- addsubf = bn_sub_words;
- if (carry > 0)
- carry = (int)bn_sub_words(r_d, r_d, _nist_p_256[carry - 1],
- BN_NIST_256_TOP);
- else if (carry < 0) {
- carry = (int)bn_add_words(r_d, r_d, _nist_p_256[-carry - 1],
- BN_NIST_256_TOP);
- if (carry == 0)
- addsubf = bn_add_words;
- } else
- carry = 1;
-
- mask = 0 - (uintptr_t)(*addsubf)(c_d, r_d, _nist_p_256[0], BN_NIST_256_TOP);
- mask &= 0 - (uintptr_t)carry;
- res = c_d;
- res = (BN_ULONG *)(((uintptr_t)res & ~mask) | ((uintptr_t)r_d & mask));
- nist_cp_bn(r_d, res, BN_NIST_256_TOP);
- r->top = BN_NIST_256_TOP;
- bn_correct_top(r);
-
- return 1;
-}
-
-#define nist_set_384(to,from,a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12) \
- { \
- bn_cp_32(to, 0, from, (a12) - 12) \
- bn_cp_32(to, 1, from, (a11) - 12) \
- bn_cp_32(to, 2, from, (a10) - 12) \
- bn_cp_32(to, 3, from, (a9) - 12) \
- bn_cp_32(to, 4, from, (a8) - 12) \
- bn_cp_32(to, 5, from, (a7) - 12) \
- bn_cp_32(to, 6, from, (a6) - 12) \
- bn_cp_32(to, 7, from, (a5) - 12) \
- bn_cp_32(to, 8, from, (a4) - 12) \
- bn_cp_32(to, 9, from, (a3) - 12) \
- bn_cp_32(to, 10, from, (a2) - 12) \
- bn_cp_32(to, 11, from, (a1) - 12) \
- }
-
-int
-BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, BN_CTX *ctx)
-{
- BN_ULONG bnbuf[BN_NIST_384_TOP] = { 0 };
- BN_ULONG c_d[BN_NIST_384_TOP] = { 0 };
- BN_ULONG *a_d = a->d;
- BN_ULONG *r_d, *res;
- bn_addsub_f addsubf;
- uintptr_t mask;
- int top = a->top;
- int carry, i;
-
- field = &_bignum_nist_p_384; /* just to make sure */
-
- if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_384_sqr) >= 0)
- return BN_nnmod(r, a, field, ctx);
-
- i = BN_ucmp(field, a);
- if (i == 0) {
- BN_zero(r);
- return 1;
- } else if (i > 0)
- return bn_copy(r, a);
-
- if (r != a) {
- if (!bn_wexpand(r, BN_NIST_384_TOP))
- return 0;
- r_d = r->d;
- nist_cp_bn(r_d, a_d, BN_NIST_384_TOP);
- } else
- r_d = a_d;
-
- nist_cp_bn_0(bnbuf, a_d + BN_NIST_384_TOP,
- top - BN_NIST_384_TOP, BN_NIST_384_TOP);
-
-#if defined(NIST_INT64)
- {
- NIST_INT64 acc; /* accumulator */
- unsigned int bbuf[BN_NIST_384_TOP *
- sizeof(BN_ULONG) / sizeof(unsigned int)];
- unsigned int rbuf[BN_NIST_384_TOP *
- sizeof(BN_ULONG) / sizeof(unsigned int)];
- const unsigned int *bp = bbuf;
- unsigned int *rp = rbuf;
-
- CTASSERT(sizeof(bbuf) == sizeof(bnbuf));
- CTASSERT(sizeof(rbuf) == sizeof(bnbuf));
-
- /*
- * Avoid strict aliasing violations by copying from an unsigned
- * long array to an unsigned int array, then copying back the
- * result. Any sensible compiler will omit the copies, while
- * avoiding undefined behaviour that would result from unsafe
- * type punning via pointer type casting.
- */
- memcpy(bbuf, bnbuf, sizeof(bbuf));
- memcpy(rbuf, r_d, sizeof(rbuf));
-
- acc = rp[0];
- acc += bp[12 - 12];
- acc += bp[21 - 12];
- acc += bp[20 - 12];
- acc -= bp[23 - 12];
- rp[0] = (unsigned int)acc;
- acc >>= 32;
-
- acc += rp[1];
- acc += bp[13 - 12];
- acc += bp[22 - 12];
- acc += bp[23 - 12];
- acc -= bp[12 - 12];
- acc -= bp[20 - 12];
- rp[1] = (unsigned int)acc;
- acc >>= 32;
-
- acc += rp[2];
- acc += bp[14 - 12];
- acc += bp[23 - 12];
- acc -= bp[13 - 12];
- acc -= bp[21 - 12];
- rp[2] = (unsigned int)acc;
- acc >>= 32;
-
- acc += rp[3];
- acc += bp[15 - 12];
- acc += bp[12 - 12];
- acc += bp[20 - 12];
- acc += bp[21 - 12];
- acc -= bp[14 - 12];
- acc -= bp[22 - 12];
- acc -= bp[23 - 12];
- rp[3] = (unsigned int)acc;
- acc >>= 32;
-
- acc += rp[4];
- acc += bp[21 - 12];
- acc += bp[21 - 12];
- acc += bp[16 - 12];
- acc += bp[13 - 12];
- acc += bp[12 - 12];
- acc += bp[20 - 12];
- acc += bp[22 - 12];
- acc -= bp[15 - 12];
- acc -= bp[23 - 12];
- acc -= bp[23 - 12];
- rp[4] = (unsigned int)acc;
- acc >>= 32;
-
- acc += rp[5];
- acc += bp[22 - 12];
- acc += bp[22 - 12];
- acc += bp[17 - 12];
- acc += bp[14 - 12];
- acc += bp[13 - 12];
- acc += bp[21 - 12];
- acc += bp[23 - 12];
- acc -= bp[16 - 12];
- rp[5] = (unsigned int)acc;
- acc >>= 32;
-
- acc += rp[6];
- acc += bp[23 - 12];
- acc += bp[23 - 12];
- acc += bp[18 - 12];
- acc += bp[15 - 12];
- acc += bp[14 - 12];
- acc += bp[22 - 12];
- acc -= bp[17 - 12];
- rp[6] = (unsigned int)acc;
- acc >>= 32;
-
- acc += rp[7];
- acc += bp[19 - 12];
- acc += bp[16 - 12];
- acc += bp[15 - 12];
- acc += bp[23 - 12];
- acc -= bp[18 - 12];
- rp[7] = (unsigned int)acc;
- acc >>= 32;
-
- acc += rp[8];
- acc += bp[20 - 12];
- acc += bp[17 - 12];
- acc += bp[16 - 12];
- acc -= bp[19 - 12];
- rp[8] = (unsigned int)acc;
- acc >>= 32;
-
- acc += rp[9];
- acc += bp[21 - 12];
- acc += bp[18 - 12];
- acc += bp[17 - 12];
- acc -= bp[20 - 12];
- rp[9] = (unsigned int)acc;
- acc >>= 32;
-
- acc += rp[10];
- acc += bp[22 - 12];
- acc += bp[19 - 12];
- acc += bp[18 - 12];
- acc -= bp[21 - 12];
- rp[10] = (unsigned int)acc;
- acc >>= 32;
-
- acc += rp[11];
- acc += bp[23 - 12];
- acc += bp[20 - 12];
- acc += bp[19 - 12];
- acc -= bp[22 - 12];
- rp[11] = (unsigned int)acc;
-
- memcpy(r_d, rbuf, sizeof(rbuf));
-
- carry = (int)(acc >> 32);
- }
-#else
- {
- BN_ULONG t_d[BN_NIST_384_TOP] = {0};
-
- /*S1*/
- nist_set_256(t_d, bnbuf, 0, 0, 0, 0, 0, 23 - 4, 22 - 4,
- 21 - 4);
- /* left shift */
- {
- BN_ULONG *ap, t, c;
- ap = t_d;
- c = 0;
- for (i = 3; i != 0; --i) {
- t= *ap;
- *(ap++) = ((t << 1)|c) & BN_MASK2;
- c = (t & BN_TBIT) ? 1 : 0;
- }
- *ap = c;
- }
- carry = (int)bn_add_words(r_d + (128 / BN_BITS2),
- r_d + (128 / BN_BITS2), t_d, BN_NIST_256_TOP);
- /*S2 */
- carry += (int)bn_add_words(r_d, r_d, bnbuf, BN_NIST_384_TOP);
- /*S3*/
- nist_set_384(t_d, bnbuf, 20, 19, 18, 17, 16, 15, 14, 13, 12,
- 23, 22, 21);
- carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
- /*S4*/
- nist_set_384(t_d, bnbuf, 19, 18, 17, 16, 15, 14, 13, 12, 20,
- 0, 23, 0);
- carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
- /*S5*/
- nist_set_384(t_d, bnbuf, 0,0, 0,0, 23, 22, 21, 20, 0,0, 0, 0);
- carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
- /*S6*/
- nist_set_384(t_d, bnbuf, 0,0, 0,0, 0,0, 23, 22, 21, 0,0, 20);
- carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
- /*D1*/
- nist_set_384(t_d, bnbuf, 22, 21, 20, 19, 18, 17, 16, 15, 14,
- 13, 12, 23);
- carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
- /*D2*/
- nist_set_384(t_d, bnbuf, 0,0, 0,0, 0,0, 0,23, 22, 21, 20, 0);
- carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
- /*D3*/
- nist_set_384(t_d, bnbuf, 0,0, 0,0, 0,0, 0,23, 23, 0,0, 0);
- carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
-
- }
-#endif
- /* see BN_nist_mod_224 for explanation */
- addsubf = bn_sub_words;
- if (carry > 0)
- carry = (int)bn_sub_words(r_d, r_d, _nist_p_384[carry - 1],
- BN_NIST_384_TOP);
- else if (carry < 0) {
- carry = (int)bn_add_words(r_d, r_d, _nist_p_384[-carry - 1],
- BN_NIST_384_TOP);
- if (carry == 0)
- addsubf = bn_add_words;
- } else
- carry = 1;
-
- mask = 0 - (uintptr_t)(*addsubf)(c_d, r_d, _nist_p_384[0], BN_NIST_384_TOP);
- mask &= 0 - (uintptr_t)carry;
- res = c_d;
- res = (BN_ULONG *)(((uintptr_t)res & ~mask) | ((uintptr_t)r_d & mask));
- nist_cp_bn(r_d, res, BN_NIST_384_TOP);
- r->top = BN_NIST_384_TOP;
- bn_correct_top(r);
-
- return 1;
-}
-
-#define BN_NIST_521_RSHIFT (521%BN_BITS2)
-#define BN_NIST_521_LSHIFT (BN_BITS2-BN_NIST_521_RSHIFT)
-#define BN_NIST_521_TOP_MASK ((BN_ULONG)BN_MASK2>>BN_NIST_521_LSHIFT)
-
-int
-BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, BN_CTX *ctx)
-{
- BN_ULONG t_d[BN_NIST_521_TOP] = { 0 };
- BN_ULONG *a_d = a->d;
- BN_ULONG *r_d, *res;
- BN_ULONG tmp, val;
- uintptr_t mask;
- int top = a->top;
- int i;
-
- field = &_bignum_nist_p_521; /* just to make sure */
-
- if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_521_sqr) >= 0)
- return BN_nnmod(r, a, field, ctx);
-
- i = BN_ucmp(field, a);
- if (i == 0) {
- BN_zero(r);
- return 1;
- } else if (i > 0)
- return bn_copy(r, a);
-
- if (r != a) {
- if (!bn_wexpand(r, BN_NIST_521_TOP))
- return 0;
- r_d = r->d;
- nist_cp_bn(r_d, a_d, BN_NIST_521_TOP);
- } else
- r_d = a_d;
-
- /* upper 521 bits, copy ... */
- nist_cp_bn_0(t_d, a_d + (BN_NIST_521_TOP - 1),
- top - (BN_NIST_521_TOP - 1), BN_NIST_521_TOP);
- /* ... and right shift */
- for (val = t_d[0], i = 0; i < BN_NIST_521_TOP - 1; i++) {
- tmp = val >> BN_NIST_521_RSHIFT;
- val = t_d[i + 1];
- t_d[i] = (tmp | val << BN_NIST_521_LSHIFT) & BN_MASK2;
- }
- t_d[i] = val >> BN_NIST_521_RSHIFT;
- /* lower 521 bits */
- r_d[i] &= BN_NIST_521_TOP_MASK;
-
- bn_add_words(r_d, r_d, t_d, BN_NIST_521_TOP);
- mask = 0 - (uintptr_t)bn_sub_words(t_d, r_d, _nist_p_521,
- BN_NIST_521_TOP);
- res = t_d;
- res = (BN_ULONG *)(((uintptr_t)res & ~mask) | ((uintptr_t)r_d & mask));
- nist_cp_bn(r_d, res, BN_NIST_521_TOP);
- r->top = BN_NIST_521_TOP;
- bn_correct_top(r);
-
- return 1;
-}
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