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2c4226c42b
will be revised too. PR: 1593
736 lines
23 KiB
C
736 lines
23 KiB
C
/* crypto/bn/bn_nist.c */
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/*
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* Written by Nils Larsch for the OpenSSL project
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*/
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/* ====================================================================
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* Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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*
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* 1. Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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*
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in
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* the documentation and/or other materials provided with the
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* distribution.
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*
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* 3. All advertising materials mentioning features or use of this
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* software must display the following acknowledgment:
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* "This product includes software developed by the OpenSSL Project
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* for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
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*
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* 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
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* endorse or promote products derived from this software without
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* prior written permission. For written permission, please contact
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* openssl-core@openssl.org.
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*
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* 5. Products derived from this software may not be called "OpenSSL"
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* nor may "OpenSSL" appear in their names without prior written
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* permission of the OpenSSL Project.
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*
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* 6. Redistributions of any form whatsoever must retain the following
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* acknowledgment:
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* "This product includes software developed by the OpenSSL Project
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* for use in the OpenSSL Toolkit (http://www.openssl.org/)"
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*
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* THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
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* EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
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* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
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* ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
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* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
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* STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
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* OF THE POSSIBILITY OF SUCH DAMAGE.
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* ====================================================================
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*
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* This product includes cryptographic software written by Eric Young
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* (eay@cryptsoft.com). This product includes software written by Tim
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* Hudson (tjh@cryptsoft.com).
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*
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*/
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#include "bn_lcl.h"
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#include "cryptlib.h"
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#define BN_NIST_192_TOP (192+BN_BITS2-1)/BN_BITS2
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#define BN_NIST_224_TOP (224+BN_BITS2-1)/BN_BITS2
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#define BN_NIST_256_TOP (256+BN_BITS2-1)/BN_BITS2
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#define BN_NIST_384_TOP (384+BN_BITS2-1)/BN_BITS2
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#define BN_NIST_521_TOP (521+BN_BITS2-1)/BN_BITS2
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#if BN_BITS2 == 64
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static const BN_ULONG _nist_p_192[] =
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{0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFEULL,
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0xFFFFFFFFFFFFFFFFULL};
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static const BN_ULONG _nist_p_224[] =
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{0x0000000000000001ULL,0xFFFFFFFF00000000ULL,
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0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL};
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static const BN_ULONG _nist_p_256[] =
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{0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL,
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0x0000000000000000ULL,0xFFFFFFFF00000001ULL};
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static const BN_ULONG _nist_p_384[] =
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{0x00000000FFFFFFFFULL,0xFFFFFFFF00000000ULL,
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0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFFULL,
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0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL};
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static const BN_ULONG _nist_p_521[] =
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{0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
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0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
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0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
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0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
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0x00000000000001FFULL};
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#elif BN_BITS2 == 32
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static const BN_ULONG _nist_p_192[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFE,
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0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
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static const BN_ULONG _nist_p_224[] = {0x00000001,0x00000000,0x00000000,
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0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
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static const BN_ULONG _nist_p_256[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
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0x00000000,0x00000000,0x00000000,0x00000001,0xFFFFFFFF};
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static const BN_ULONG _nist_p_384[] = {0xFFFFFFFF,0x00000000,0x00000000,
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0xFFFFFFFF,0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
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0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
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static const BN_ULONG _nist_p_521[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
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0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
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0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
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0xFFFFFFFF,0x000001FF};
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#elif BN_BITS2 == 16
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static const BN_ULONG _nist_p_192[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFE,
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0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF};
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static const BN_ULONG _nist_p_224[] = {0x0001,0x0000,0x0000,0x0000,0x0000,
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0x0000,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF};
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static const BN_ULONG _nist_p_256[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
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0xFFFF,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0001,0x0000,0xFFFF,
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0xFFFF};
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static const BN_ULONG _nist_p_384[] = {0xFFFF,0xFFFF,0x0000,0x0000,0x0000,
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0x0000,0xFFFF,0xFFFF,0xFFFE,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
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0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF};
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static const BN_ULONG _nist_p_521[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
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0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
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0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
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0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0x01FF};
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#elif BN_BITS2 == 8
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static const BN_ULONG _nist_p_192[] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
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0xFE,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
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0xFF,0xFF};
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static const BN_ULONG _nist_p_224[] = {0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
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0x00,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
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0xFF,0xFF,0xFF,0xFF,0xFF,0xFF};
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static const BN_ULONG _nist_p_256[] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
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0xFF,0xFF,0xFF,0xFF,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
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0x00,0x00,0x01,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF};
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static const BN_ULONG _nist_p_384[] = {0xFF,0xFF,0xFF,0xFF,0x00,0x00,0x00,0x00,
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0x00,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,0xFF,0xFF,0xFF,
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0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
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0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF};
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static const BN_ULONG _nist_p_521[] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
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0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
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0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
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0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
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0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
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0xFF,0x01};
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#endif
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const BIGNUM *BN_get0_nist_prime_192(void)
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{
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static BIGNUM const_nist_192 = { (BN_ULONG *)_nist_p_192,
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BN_NIST_192_TOP, BN_NIST_192_TOP, 0, BN_FLG_STATIC_DATA };
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return &const_nist_192;
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}
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const BIGNUM *BN_get0_nist_prime_224(void)
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{
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static BIGNUM const_nist_224 = { (BN_ULONG *)_nist_p_224,
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BN_NIST_224_TOP, BN_NIST_224_TOP, 0, BN_FLG_STATIC_DATA };
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return &const_nist_224;
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}
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const BIGNUM *BN_get0_nist_prime_256(void)
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{
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static BIGNUM const_nist_256 = { (BN_ULONG *)_nist_p_256,
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BN_NIST_256_TOP, BN_NIST_256_TOP, 0, BN_FLG_STATIC_DATA };
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return &const_nist_256;
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}
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const BIGNUM *BN_get0_nist_prime_384(void)
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{
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static BIGNUM const_nist_384 = { (BN_ULONG *)_nist_p_384,
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BN_NIST_384_TOP, BN_NIST_384_TOP, 0, BN_FLG_STATIC_DATA };
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return &const_nist_384;
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}
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const BIGNUM *BN_get0_nist_prime_521(void)
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{
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static BIGNUM const_nist_521 = { (BN_ULONG *)_nist_p_521,
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BN_NIST_521_TOP, BN_NIST_521_TOP, 0, BN_FLG_STATIC_DATA };
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return &const_nist_521;
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}
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/* some misc internal functions */
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#if BN_BITS2 != 64
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static BN_ULONG _256_data[BN_NIST_256_TOP*6];
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static int _is_set_256_data = 0;
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static void _init_256_data(void);
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#endif
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#define BN_NIST_ADD_ONE(a) while (!(*(a)=(*(a)+1)&BN_MASK2)) ++(a);
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static void nist_cp_bn_0(BN_ULONG *buf, BN_ULONG *a, int top, int max)
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{
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int i;
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BN_ULONG *_tmp1 = (buf), *_tmp2 = (a);
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for (i = (top); i != 0; i--)
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*_tmp1++ = *_tmp2++;
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for (i = (max) - (top); i != 0; i--)
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*_tmp1++ = (BN_ULONG) 0;
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}
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static void nist_cp_bn(BN_ULONG *buf, BN_ULONG *a, int top)
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{
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int i;
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BN_ULONG *_tmp1 = (buf), *_tmp2 = (a);
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for (i = (top); i != 0; i--)
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*_tmp1++ = *_tmp2++;
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}
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#if BN_BITS2 == 64
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#define bn_cp_64(to, n, from, m) (to)[n] = (from)[m];
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#define bn_64_set_0(to, n) (to)[n] = (BN_ULONG)0;
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/* TBD */
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#define bn_cp_32(to, n, from, m) (to)[n] = (from)[m];
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#define bn_32_set_0(to, n) (to)[n] = (BN_ULONG)0;
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#else
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#define bn_cp_64(to, n, from, m) \
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{ \
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bn_cp_32(to, (n)*2, from, (m)*2); \
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bn_cp_32(to, (n)*2+1, from, (m)*2+1); \
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}
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#define bn_64_set_0(to, n) \
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{ \
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bn_32_set_0(to, (n)*2); \
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bn_32_set_0(to, (n)*2+1); \
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}
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#if BN_BITS2 == 32
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#define bn_cp_32(to, n, from, m) (to)[n] = (from)[m];
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#define bn_32_set_0(to, n) (to)[n] = (BN_ULONG)0;
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#elif BN_BITS2 == 16
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#define bn_cp_32(to, n, from, m) \
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{ \
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(to)[(n)*2] = (from)[(m)*2]; \
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(to)[(n)*2+1] = (from)[(m)*2+1];\
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}
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#define bn_32_set_0(to, n) { (to)[(n)*2] = 0; (to)[(n)*2+1] = 0; }
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#elif BN_BITS2 == 8
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#define bn_cp_32(to, n, from, m) \
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{ \
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(to)[(n)*4] = (from)[(m)*4]; \
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(to)[(n)*4+1] = (from)[(m)*4+1];\
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(to)[(n)*4+2] = (from)[(m)*4+2];\
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(to)[(n)*4+3] = (from)[(m)*4+3];\
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}
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#define bn_32_set_0(to, n) \
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{ (to)[(n)*4] = (BN_ULONG)0; (to)[(n)*4+1] = (BN_ULONG)0; \
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(to)[(n)*4+2] = (BN_ULONG)0; (to)[(n)*4+3] = (BN_ULONG)0; }
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#endif
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#endif /* BN_BITS2 != 64 */
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#define nist_set_192(to, from, a1, a2, a3) \
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{ \
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if (a3 != 0) bn_cp_64(to, 0, from, (a3) - 3) else bn_64_set_0(to, 0)\
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bn_cp_64(to, 1, from, (a2) - 3) \
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if (a1 != 0) bn_cp_64(to, 2, from, (a1) - 3) else bn_64_set_0(to, 2)\
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}
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int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
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BN_CTX *ctx)
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{
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int top = a->top, i;
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register BN_ULONG *r_d, *a_d = a->d;
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BN_ULONG t_d[BN_NIST_192_TOP],
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buf[BN_NIST_192_TOP];
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i = BN_ucmp(field, a);
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if (i == 0)
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{
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BN_zero(r);
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return 1;
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}
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else if (i > 0)
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return (r == a) ? 1 : (BN_copy(r ,a) != NULL);
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if (top == BN_NIST_192_TOP)
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return BN_usub(r, a, field);
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if (r != a)
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{
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if (!bn_wexpand(r, BN_NIST_192_TOP))
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return 0;
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r_d = r->d;
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nist_cp_bn(r_d, a_d, BN_NIST_192_TOP);
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}
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else
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r_d = a_d;
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nist_cp_bn_0(buf, a_d + BN_NIST_192_TOP, top - BN_NIST_192_TOP, BN_NIST_192_TOP);
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#if defined(OPENSSL_SYS_VMS) && defined(__DECC)
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# pragma message save
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# pragma message disable BADSUBSCRIPT
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#endif
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nist_set_192(t_d, buf, 0, 3, 3);
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if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
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bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP);
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nist_set_192(t_d, buf, 4, 4, 0);
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if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
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bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP);
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#if defined(OPENSSL_SYS_VMS) && defined(__DECC)
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# pragma message restore
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#endif
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nist_set_192(t_d, buf, 5, 5, 5)
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if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
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bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP);
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r->top = BN_NIST_192_TOP;
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bn_correct_top(r);
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if (BN_ucmp(r, field) >= 0)
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{
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bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP);
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bn_correct_top(r);
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}
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bn_check_top(r);
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return 1;
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}
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#define nist_set_224(to, from, a1, a2, a3, a4, a5, a6, a7) \
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{ \
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if (a7 != 0) bn_cp_32(to, 0, from, (a7) - 7) else bn_32_set_0(to, 0)\
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if (a6 != 0) bn_cp_32(to, 1, from, (a6) - 7) else bn_32_set_0(to, 1)\
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if (a5 != 0) bn_cp_32(to, 2, from, (a5) - 7) else bn_32_set_0(to, 2)\
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if (a4 != 0) bn_cp_32(to, 3, from, (a4) - 7) else bn_32_set_0(to, 3)\
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if (a3 != 0) bn_cp_32(to, 4, from, (a3) - 7) else bn_32_set_0(to, 4)\
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if (a2 != 0) bn_cp_32(to, 5, from, (a2) - 7) else bn_32_set_0(to, 5)\
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if (a1 != 0) bn_cp_32(to, 6, from, (a1) - 7) else bn_32_set_0(to, 6)\
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}
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int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
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BN_CTX *ctx)
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{
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#if BN_BITS2 == 32
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int top = a->top, i;
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BN_ULONG *r_d, *a_d = a->d;
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BN_ULONG t_d[BN_NIST_224_TOP],
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buf[BN_NIST_224_TOP];
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i = BN_ucmp(field, a);
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if (i == 0)
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{
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BN_zero(r);
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return 1;
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}
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else if (i > 0)
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return (r == a)? 1 : (BN_copy(r ,a) != NULL);
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if (top == BN_NIST_224_TOP)
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return BN_usub(r, a, field);
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if (r != a)
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{
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if (!bn_wexpand(r, BN_NIST_224_TOP))
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return 0;
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r_d = r->d;
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nist_cp_bn(r_d, a_d, BN_NIST_224_TOP);
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}
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else
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r_d = a_d;
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nist_cp_bn_0(buf, a_d + BN_NIST_224_TOP, top - BN_NIST_224_TOP, BN_NIST_224_TOP);
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nist_set_224(t_d, buf, 10, 9, 8, 7, 0, 0, 0);
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if (bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP))
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bn_sub_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP);
|
|
nist_set_224(t_d, buf, 0, 13, 12, 11, 0, 0, 0);
|
|
if (bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP))
|
|
bn_sub_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP);
|
|
nist_set_224(t_d, buf, 13, 12, 11, 10, 9, 8, 7);
|
|
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP))
|
|
bn_add_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP);
|
|
nist_set_224(t_d, buf, 0, 0, 0, 0, 13, 12, 11);
|
|
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP))
|
|
bn_add_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP);
|
|
|
|
r->top = BN_NIST_224_TOP;
|
|
bn_correct_top(r);
|
|
if (BN_ucmp(r, field) >= 0)
|
|
{
|
|
bn_sub_words(r_d, r_d, _nist_p_224, BN_NIST_224_TOP);
|
|
bn_correct_top(r);
|
|
}
|
|
bn_check_top(r);
|
|
return 1;
|
|
#else
|
|
return 0;
|
|
#endif
|
|
}
|
|
|
|
#if BN_BITS2 == 32
|
|
static void _init_256_data(void)
|
|
{
|
|
int i;
|
|
BN_ULONG *tmp1 = _256_data;
|
|
const BN_ULONG *tmp2 = tmp1;
|
|
|
|
memcpy(tmp1, _nist_p_256, BN_NIST_256_TOP * sizeof(BN_ULONG));
|
|
tmp1 += BN_NIST_256_TOP;
|
|
|
|
for (i=0; i<5; i++)
|
|
{
|
|
bn_add_words(tmp1, _nist_p_256, tmp2, BN_NIST_256_TOP);
|
|
tmp2 = tmp1;
|
|
tmp1 += BN_NIST_256_TOP;
|
|
}
|
|
_is_set_256_data = 1;
|
|
}
|
|
#endif
|
|
|
|
#define nist_set_256(to, from, a1, a2, a3, a4, a5, a6, a7, a8) \
|
|
{ \
|
|
if (a8 != 0) bn_cp_32(to, 0, from, (a8) - 8) else bn_32_set_0(to, 0)\
|
|
if (a7 != 0) bn_cp_32(to, 1, from, (a7) - 8) else bn_32_set_0(to, 1)\
|
|
if (a6 != 0) bn_cp_32(to, 2, from, (a6) - 8) else bn_32_set_0(to, 2)\
|
|
if (a5 != 0) bn_cp_32(to, 3, from, (a5) - 8) else bn_32_set_0(to, 3)\
|
|
if (a4 != 0) bn_cp_32(to, 4, from, (a4) - 8) else bn_32_set_0(to, 4)\
|
|
if (a3 != 0) bn_cp_32(to, 5, from, (a3) - 8) else bn_32_set_0(to, 5)\
|
|
if (a2 != 0) bn_cp_32(to, 6, from, (a2) - 8) else bn_32_set_0(to, 6)\
|
|
if (a1 != 0) bn_cp_32(to, 7, from, (a1) - 8) else bn_32_set_0(to, 7)\
|
|
}
|
|
|
|
int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
|
|
BN_CTX *ctx)
|
|
{
|
|
#if BN_BITS2 == 32
|
|
int i, top = a->top;
|
|
int carry = 0;
|
|
register BN_ULONG *a_d = a->d, *r_d;
|
|
BN_ULONG t_d[BN_NIST_256_TOP],
|
|
t_d2[BN_NIST_256_TOP],
|
|
buf[BN_NIST_256_TOP];
|
|
|
|
if (!_is_set_256_data)
|
|
{
|
|
CRYPTO_w_lock(CRYPTO_LOCK_BN);
|
|
|
|
if (!_is_set_256_data)
|
|
_init_256_data();
|
|
|
|
CRYPTO_w_unlock(CRYPTO_LOCK_BN);
|
|
}
|
|
|
|
i = BN_ucmp(field, a);
|
|
if (i == 0)
|
|
{
|
|
BN_zero(r);
|
|
return 1;
|
|
}
|
|
else if (i > 0)
|
|
return (r == a)? 1 : (BN_copy(r ,a) != NULL);
|
|
|
|
if (top == BN_NIST_256_TOP)
|
|
return BN_usub(r, a, field);
|
|
|
|
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(buf, a_d + BN_NIST_256_TOP, top - BN_NIST_256_TOP, BN_NIST_256_TOP);
|
|
|
|
/*S1*/
|
|
nist_set_256(t_d, buf, 15, 14, 13, 12, 11, 0, 0, 0);
|
|
/*S2*/
|
|
nist_set_256(t_d2,buf, 0, 15, 14, 13, 12, 0, 0, 0);
|
|
carry = bn_add_words(t_d, t_d, t_d2, BN_NIST_256_TOP);
|
|
/* left shift */
|
|
{
|
|
register 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 += bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
|
|
/*S3*/
|
|
nist_set_256(t_d, buf, 15, 14, 0, 0, 0, 10, 9, 8);
|
|
carry += bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
|
|
/*S4*/
|
|
nist_set_256(t_d, buf, 8, 13, 15, 14, 13, 11, 10, 9);
|
|
carry += bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
|
|
|
|
if (carry)
|
|
bn_sub_words(r_d, r_d, _256_data + BN_NIST_256_TOP *
|
|
(carry-1), BN_NIST_256_TOP);
|
|
|
|
/*D1*/
|
|
nist_set_256(t_d, buf, 10, 8, 0, 0, 0, 13, 12, 11);
|
|
carry = bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
|
|
/*D2*/
|
|
nist_set_256(t_d, buf, 11, 9, 0, 0, 15, 14, 13, 12);
|
|
carry += bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
|
|
/*D3*/
|
|
nist_set_256(t_d, buf, 12, 0, 10, 9, 8, 15, 14, 13);
|
|
carry += bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
|
|
/*D4*/
|
|
nist_set_256(t_d, buf, 13, 0, 11, 10, 9, 0, 15, 14);
|
|
carry += bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
|
|
|
|
if (carry)
|
|
bn_add_words(r_d, r_d, _256_data + BN_NIST_256_TOP *
|
|
(carry-1), BN_NIST_256_TOP);
|
|
|
|
r->top = BN_NIST_256_TOP;
|
|
bn_correct_top(r);
|
|
if (BN_ucmp(r, field) >= 0)
|
|
{
|
|
bn_sub_words(r_d, r_d, _nist_p_256, BN_NIST_256_TOP);
|
|
bn_correct_top(r);
|
|
}
|
|
bn_check_top(r);
|
|
return 1;
|
|
#else
|
|
return 0;
|
|
#endif
|
|
}
|
|
|
|
#define nist_set_384(to,from,a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12) \
|
|
{ \
|
|
if (a12 != 0) bn_cp_32(to, 0, from, (a12) - 12) else bn_32_set_0(to, 0)\
|
|
if (a11 != 0) bn_cp_32(to, 1, from, (a11) - 12) else bn_32_set_0(to, 1)\
|
|
if (a10 != 0) bn_cp_32(to, 2, from, (a10) - 12) else bn_32_set_0(to, 2)\
|
|
if (a9 != 0) bn_cp_32(to, 3, from, (a9) - 12) else bn_32_set_0(to, 3)\
|
|
if (a8 != 0) bn_cp_32(to, 4, from, (a8) - 12) else bn_32_set_0(to, 4)\
|
|
if (a7 != 0) bn_cp_32(to, 5, from, (a7) - 12) else bn_32_set_0(to, 5)\
|
|
if (a6 != 0) bn_cp_32(to, 6, from, (a6) - 12) else bn_32_set_0(to, 6)\
|
|
if (a5 != 0) bn_cp_32(to, 7, from, (a5) - 12) else bn_32_set_0(to, 7)\
|
|
if (a4 != 0) bn_cp_32(to, 8, from, (a4) - 12) else bn_32_set_0(to, 8)\
|
|
if (a3 != 0) bn_cp_32(to, 9, from, (a3) - 12) else bn_32_set_0(to, 9)\
|
|
if (a2 != 0) bn_cp_32(to, 10, from, (a2) - 12) else bn_32_set_0(to, 10)\
|
|
if (a1 != 0) bn_cp_32(to, 11, from, (a1) - 12) else bn_32_set_0(to, 11)\
|
|
}
|
|
|
|
int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
|
|
BN_CTX *ctx)
|
|
{
|
|
#if BN_BITS2 == 32
|
|
int i, top = a->top;
|
|
int carry = 0;
|
|
register BN_ULONG *r_d, *a_d = a->d;
|
|
BN_ULONG t_d[BN_NIST_384_TOP],
|
|
buf[BN_NIST_384_TOP],
|
|
c_d[BN_NIST_384_TOP],
|
|
*res;
|
|
size_t mask;
|
|
|
|
i = BN_ucmp(field, a);
|
|
if (i == 0)
|
|
{
|
|
BN_zero(r);
|
|
return 1;
|
|
}
|
|
else if (i > 0)
|
|
return (r == a)? 1 : (BN_copy(r ,a) != NULL);
|
|
|
|
if (top == BN_NIST_384_TOP)
|
|
return BN_usub(r, a, field);
|
|
|
|
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(buf, a_d + BN_NIST_384_TOP, top - BN_NIST_384_TOP, BN_NIST_384_TOP);
|
|
|
|
/*S1*/
|
|
nist_set_256(t_d, buf, 0, 0, 0, 0, 0, 23-4, 22-4, 21-4);
|
|
/* left shift */
|
|
{
|
|
register 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 = bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2),
|
|
t_d, BN_NIST_256_TOP);
|
|
/* this is equivalent to if (result >= module) */
|
|
mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
|
|
mask = ~mask | (0-(size_t)carry);
|
|
res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
|
|
|
|
/*S2 */
|
|
carry = bn_add_words(r_d, res, buf, BN_NIST_384_TOP);
|
|
mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
|
|
mask = ~mask | (0-(size_t)carry);
|
|
res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
|
|
|
|
/*S3*/
|
|
nist_set_384(t_d,buf,20,19,18,17,16,15,14,13,12,23,22,21);
|
|
carry = bn_add_words(r_d, res, t_d, BN_NIST_384_TOP);
|
|
mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
|
|
mask = ~mask | (0-(size_t)carry);
|
|
res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
|
|
|
|
/*S4*/
|
|
nist_set_384(t_d,buf,19,18,17,16,15,14,13,12,20,0,23,0);
|
|
carry = bn_add_words(r_d, res, t_d, BN_NIST_384_TOP);
|
|
mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
|
|
mask = ~mask | (0-(size_t)carry);
|
|
res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
|
|
|
|
/*S5*/
|
|
nist_set_384(t_d, buf,0,0,0,0,23,22,21,20,0,0,0,0);
|
|
carry = bn_add_words(r_d, res, t_d, BN_NIST_384_TOP);
|
|
mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
|
|
mask = ~mask | (0-(size_t)carry);
|
|
res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
|
|
|
|
/*S6*/
|
|
nist_set_384(t_d,buf,0,0,0,0,0,0,23,22,21,0,0,20);
|
|
carry = bn_add_words(r_d, res, t_d, BN_NIST_384_TOP);
|
|
mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
|
|
mask = ~mask | (0-(size_t)carry);
|
|
res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
|
|
|
|
/*D1*/
|
|
nist_set_384(t_d,buf,22,21,20,19,18,17,16,15,14,13,12,23);
|
|
#if BRANCH_FREE
|
|
carry = bn_sub_words(r_d, res, t_d, BN_NIST_384_TOP);
|
|
bn_add_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
|
|
mask = 0-(size_t)carry;
|
|
res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
|
|
#else
|
|
if (bn_sub_words(r_d, res, t_d, BN_NIST_384_TOP))
|
|
bn_add_words(r_d,r_d,_nist_p_384,BN_NIST_384_TOP);
|
|
#endif
|
|
/*D2*/
|
|
nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,22,21,20,0);
|
|
#if BRANCH_FREE
|
|
carry = bn_sub_words(r_d, res, t_d, BN_NIST_384_TOP);
|
|
bn_add_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
|
|
mask = 0-(size_t)carry;
|
|
res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
|
|
#else
|
|
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
|
|
bn_add_words(r_d,r_d,_nist_p_384,BN_NIST_384_TOP);
|
|
#endif
|
|
/*D3*/
|
|
nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,23,0,0,0);
|
|
#if BRANCH_FREE
|
|
carry = bn_sub_words(r_d, res, t_d, BN_NIST_384_TOP);
|
|
bn_add_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
|
|
mask = 0-(size_t)carry;
|
|
res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
|
|
|
|
nist_cp_bn(r_d, res, BN_NIST_384_TOP);
|
|
#else
|
|
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
|
|
bn_add_words(r_d,r_d,_nist_p_384,BN_NIST_384_TOP);
|
|
#endif
|
|
r->top = BN_NIST_384_TOP;
|
|
bn_correct_top(r);
|
|
|
|
return 1;
|
|
#else
|
|
return 0;
|
|
#endif
|
|
}
|
|
|
|
int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
|
|
BN_CTX *ctx)
|
|
{
|
|
#if BN_BITS2 == 64
|
|
#define BN_NIST_521_TOP_MASK (BN_ULONG)0x1FF
|
|
#elif BN_BITS2 == 32
|
|
#define BN_NIST_521_TOP_MASK (BN_ULONG)0x1FF
|
|
#elif BN_BITS2 == 16
|
|
#define BN_NIST_521_TOP_MASK (BN_ULONG)0x1FF
|
|
#elif BN_BITS2 == 8
|
|
#define BN_NIST_521_TOP_MASK (BN_ULONG)0x1
|
|
#endif
|
|
int top, ret = 0;
|
|
BN_ULONG *r_d;
|
|
BIGNUM *tmp;
|
|
|
|
/* check whether a reduction is necessary */
|
|
top = a->top;
|
|
if (top < BN_NIST_521_TOP || ( top == BN_NIST_521_TOP &&
|
|
(!(a->d[BN_NIST_521_TOP-1] & ~(BN_NIST_521_TOP_MASK)))))
|
|
return (r == a)? 1 : (BN_copy(r ,a) != NULL);
|
|
|
|
BN_CTX_start(ctx);
|
|
tmp = BN_CTX_get(ctx);
|
|
if (!tmp)
|
|
goto err;
|
|
|
|
if (!bn_wexpand(tmp, BN_NIST_521_TOP))
|
|
goto err;
|
|
nist_cp_bn(tmp->d, a->d, BN_NIST_521_TOP);
|
|
|
|
tmp->top = BN_NIST_521_TOP;
|
|
tmp->d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK;
|
|
bn_correct_top(tmp);
|
|
|
|
if (!BN_rshift(r, a, 521))
|
|
goto err;
|
|
|
|
if (!BN_uadd(r, tmp, r))
|
|
goto err;
|
|
top = r->top;
|
|
r_d = r->d;
|
|
if (top == BN_NIST_521_TOP &&
|
|
(r_d[BN_NIST_521_TOP-1] & ~(BN_NIST_521_TOP_MASK)))
|
|
{
|
|
BN_NIST_ADD_ONE(r_d)
|
|
r->d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK;
|
|
}
|
|
bn_correct_top(r);
|
|
|
|
ret = 1;
|
|
err:
|
|
BN_CTX_end(ctx);
|
|
|
|
bn_check_top(r);
|
|
return ret;
|
|
}
|