mirror of
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19b8d06a79
create new lock CRYPTO_LOCK_BN to avoid race condition
844 lines
24 KiB
C
844 lines
24 KiB
C
/* crypto/bn/bn_nist.p */
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/* ====================================================================
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* Copyright (c) 1998-2002 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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const static BN_ULONG _nist_p_192[] = {0xFFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFFE,
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0xFFFFFFFFFFFFFFFF};
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const static BN_ULONG _nist_p_224[] = {0x0000000000000001,0xFFFFFFFF00000000,
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0xFFFFFFFFFFFFFFFF,0x00000000FFFFFFFF};
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const static BN_ULONG _nist_p_256[] = {0xFFFFFFFFFFFFFFFF,0x00000000FFFFFFFF,
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0x0000000000000000,0xFFFFFFFF00000001};
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const static BN_ULONG _nist_p_384[] = {0x00000000FFFFFFFF,0xFFFFFFFF00000000,
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0xFFFFFFFFFFFFFFFE,0xFFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFFF,
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0xFFFFFFFFFFFFFFFF};
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const static BN_ULONG _nist_p_521[] = {0xFFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFFF,
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0xFFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFFF,
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0xFFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFFF,
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0x00000000000001FF};
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#elif BN_BITS2 == 32
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const static BN_ULONG _nist_p_192[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFE,
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0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
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const static BN_ULONG _nist_p_224[] = {0x00000001,0x00000000,0x00000000,
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0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
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const static BN_ULONG _nist_p_256[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
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0x00000000,0x00000000,0x00000000,0x00000001,0xFFFFFFFF};
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const static 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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const static 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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const static 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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const static 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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const static 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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const static 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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const static 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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const static 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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const static 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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const static 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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const static 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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const static 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,BN_NIST_192_TOP,
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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,BN_NIST_224_TOP,
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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,BN_NIST_256_TOP,
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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,BN_NIST_384_TOP,
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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,BN_NIST_521_TOP,
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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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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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static BN_ULONG _384_data[BN_NIST_384_TOP*8];
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static int _is_set_384_data = 0;
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static void _init_384_data(void);
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#define BN_NIST_ADD_ONE(a) while (!(++(*(a)))) ++(a);
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#define __buf_0 (BN_ULONG)0
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#define __buf_0_1 (BN_ULONG)0
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#define __buf_0_2 (BN_ULONG)0
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#if BN_BITS2 == 64
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#define BN_64_BIT_BUF(n) BN_ULONG __buf_##n = (BN_ULONG)0;
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#define BN_CP_64_TO_BUF(n) __buf_##n = (a)[(n)];
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#define BN_CP_64_FROM_BUF(a,n) *(a)++ = __buf_##n;
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#define BN_CASE_64_BIT(n,a) case (n): __buf_##n = (a)[(n)];
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#if UINT_MAX == 4294967295UL
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#define nist32 unsigned int
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#define BN_32_BIT_BUF(n) nist32 __buf_##n = (nist32)0;
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#define BN_CP_32_TO_BUF(n) __buf_##n = ((nist32 *)(a))[(n)];
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#define BN_CP_32_FROM_BUF(a,n) *((nist32)(a))++ = __buf_##n;
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#define BN_CASE_32_BIT(n,a) case (n): __buf_##n = ((nist32)(a))[(n)];
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#elif ULONG_MAX == 4294967295UL
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#define nist32 unsigned long
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#define BN_32_BIT_BUF(n) nist32 __buf_##n = (nist32)0;
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#define BN_CP_32_TO_BUF(n) __buf_##n = ((nist32 *)(a))[(n)];
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#define BN_CP_32_FROM_BUF(a,n) *((nist32)(a))++ = __buf_##n;
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#define BN_CASE_32_BIT(n,a) case (n): __buf_##n = ((nist32)(a))[(n)];
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#else
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#define NO_32_BIT_TYPE
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#endif
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#elif BN_BITS2 == 32
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#define BN_64_BIT_BUF(n) BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
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BN_ULONG __buf_##n##_2 = (BN_ULONG)0;
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#define BN_CP_64_TO_BUF(n) __buf_##n##_2 = (a)[2*(n)+1];\
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__buf_##n##_1 = (a)[2*(n)];
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#define BN_CP_64_FROM_BUF(a,n) *(a)++ = __buf_##n##_1;\
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*(a)++ = __buf_##n##_2;
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#define BN_CASE_64_BIT(n,a) case 2*(n)+1: __buf_##n##_2 = (a)[2*(n)+1];\
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case 2*(n): __buf_##n##_1 = (a)[2*(n)];
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#define BN_32_BIT_BUF(n) BN_ULONG __buf_##n = (BN_ULONG)0;
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#define BN_CP_32_TO_BUF(n) __buf_##n = (a)[(n)];
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#define BN_CP_32_FROM_BUF(a,n) *(a)++ = __buf_##n;
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#define BN_CASE_32_BIT(n,a) case (n): __buf_##n = (a)[(n)];
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#elif BN_BITS2 == 16
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#define __buf_0_3 (BN_ULONG)0
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#define __buf_0_4 (BN_ULONG)0
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#define BN_64_BIT_BUF(n) BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
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BN_ULONG __buf_##n##_2 = (BN_ULONG)0;\
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BN_ULONG __buf_##n##_3 = (BN_ULONG)0;\
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BN_ULONG __buf_##n##_4 = (BN_ULONG)0;
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#define BN_CP_64_TO_BUF(n) __buf_##n##_4 = (a)[4*(n)+3];\
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__buf_##n##_3 = (a)[4*(n)+2];\
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__buf_##n##_2 = (a)[4*(n)+1];\
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__buf_##n##_1 = (a)[4*(n)];
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#define BN_CP_64_FROM_BUF(a,n) *(a)++ = __buf_##n##_1;\
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*(a)++ = __buf_##n##_2;\
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*(a)++ = __buf_##n##_3;\
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*(a)++ = __buf_##n##_4;
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#define BN_CASE_64_BIT(n,a) case 4*(n)+3: __buf_##n##_4 = (a)[4*(n)+3];\
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case 4*(n)+2: __buf_##n##_3 = (a)[4*(n)+2];\
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case 4*(n)+1: __buf_##n##_2 = (a)[4*(n)+1];\
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case 4*(n): __buf_##n##_1 = (a)[4*(n)];
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#define BN_32_BIT_BUF(n) BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
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BN_ULONG __buf_##n##_2 = (BN_ULONG)0;
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#define BN_CP_32_TO_BUF(n) __buf_##n##_1 = (a)[2*(n)];\
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__buf_##n##_2 = (a)[2*(n)+1];
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#define BN_CP_32_FROM_BUF(a,n) *(a)++ = __buf_##n##_1;\
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*(a)++ = __buf_##n##_2;
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#define BN_CASE_32_BIT(n,a) case 2*(n)+1: __buf_##n##_2 = (a)[2*(n)+1];\
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case 2*(n): __buf_##n##_1 = (a)[2*(n)];
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#elif BN_BITS2 == 8
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#define __buf_0_3 (BN_ULONG)0
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#define __buf_0_4 (BN_ULONG)0
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#define __buf_0_5 (BN_ULONG)0
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#define __buf_0_6 (BN_ULONG)0
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#define __buf_0_7 (BN_ULONG)0
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#define __buf_0_8 (BN_ULONG)0
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#define BN_64_BIT_BUF(n) BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
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BN_ULONG __buf_##n##_2 = (BN_ULONG)0;\
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BN_ULONG __buf_##n##_3 = (BN_ULONG)0;\
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BN_ULONG __buf_##n##_4 = (BN_ULONG)0;\
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BN_ULONG __buf_##n##_5 = (BN_ULONG)0;\
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BN_ULONG __buf_##n##_6 = (BN_ULONG)0;\
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BN_ULONG __buf_##n##_7 = (BN_ULONG)0;\
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BN_ULONG __buf_##n##_8 = (BN_ULONG)0;
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#define BN_CP_64_TO_BUF(n) __buf_##n##_8 = (a)[8*(n)+7];\
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__buf_##n##_7 = (a)[8*(n)+6];\
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__buf_##n##_6 = (a)[8*(n)+5];\
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__buf_##n##_5 = (a)[8*(n)+4];\
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__buf_##n##_4 = (a)[8*(n)+3];\
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__buf_##n##_3 = (a)[8*(n)+2];\
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__buf_##n##_2 = (a)[8*(n)+1];\
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__buf_##n##_1 = (a)[8*(n)];
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#define BN_CP_64_FROM_BUF(a,n) *(a)++ = __buf_##n##_1;\
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*(a)++ = __buf_##n##_2;\
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*(a)++ = __buf_##n##_3;\
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*(a)++ = __buf_##n##_4;\
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*(a)++ = __buf_##n##_5;\
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*(a)++ = __buf_##n##_6;\
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*(a)++ = __buf_##n##_7;\
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*(a)++ = __buf_##n##_8;
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#define BN_CASE_64_BIT(n,a) case 8*(n)+7: __buf_##n##_8 = (a)[8*(n)+7];\
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case 8*(n)+6: __buf_##n##_7 = (a)[8*(n)+6];\
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case 8*(n)+5: __buf_##n##_6 = (a)[8*(n)+5];\
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case 8*(n)+4: __buf_##n##_5 = (a)[8*(n)+4];\
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case 8*(n)+3: __buf_##n##_4 = (a)[8*(n)+3];\
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case 8*(n)+2: __buf_##n##_3 = (a)[8*(n)+2];\
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case 8*(n)+1: __buf_##n##_2 = (a)[8*(n)+1];\
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case 8*(n): __buf_##n##_1 = (a)[8*(n)];
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#define BN_32_BIT_BUF(n) BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
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BN_ULONG __buf_##n##_2 = (BN_ULONG)0;\
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BN_ULONG __buf_##n##_3 = (BN_ULONG)0;\
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BN_ULONG __buf_##n##_4 = (BN_ULONG)0;
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#define BN_CP_32_TO_BUF(n) __buf_##n##_1 = (a)[4*(n)];\
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__buf_##n##_2 = (a)[4*(n)+1];\
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__buf_##n##_3 = (a)[4*(n)+2];\
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__buf_##n##_4 = (a)[4*(n)+3];
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#define BN_CP_32_FROM_BUF(a,n) *(a)++ = __buf_##n##_1;\
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*(a)++ = __buf_##n##_2;\
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*(a)++ = __buf_##n##_3;\
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*(a)++ = __buf_##n##_4;
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#define BN_CASE_32_BIT(n,a) case 4*(n)+3: __buf_##n##_4 = (a)[4*(n)+3];\
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case 4*(n)+2: __buf_##n##_3 = (a)[4*(n)+2];\
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case 4*(n)+1: __buf_##n##_2 = (a)[4*(n)+1];\
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case 4*(n): __buf_##n##_1 = (a)[4*(n)];
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#endif
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#define BN_192_SET(d,a1,a2,a3) \
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{\
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register BN_ULONG *td = (d);\
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BN_CP_64_FROM_BUF(td,a3); BN_CP_64_FROM_BUF(td,a2);\
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BN_CP_64_FROM_BUF(td,a1);\
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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;
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BN_ULONG carry = 0;
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register BN_ULONG *r_d, *a_d;
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BN_ULONG t_d[BN_NIST_192_TOP];
|
|
BN_64_BIT_BUF(3) BN_64_BIT_BUF(4)
|
|
BN_64_BIT_BUF(5)
|
|
|
|
top = BN_ucmp(field, a);
|
|
if (top == 0)
|
|
return BN_zero(r);
|
|
else if (top > 0)
|
|
return (r == a)? 1 : (BN_copy(r ,a) != NULL);
|
|
|
|
if (r != a)
|
|
if (!BN_ncopy(r, a, BN_NIST_192_TOP))
|
|
return 0;
|
|
|
|
r_d = r->d;
|
|
a_d = a->d;
|
|
top = a->top-1;
|
|
|
|
switch (top)
|
|
{
|
|
BN_CASE_64_BIT(5, a_d)
|
|
BN_CASE_64_BIT(4, a_d)
|
|
BN_CASE_64_BIT(3, a_d)
|
|
break;
|
|
default: /* a->top == field->top */
|
|
return BN_usub(r, a, field);
|
|
}
|
|
|
|
BN_192_SET(t_d,0,3,3)
|
|
if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
|
|
++carry;
|
|
|
|
BN_192_SET(t_d,4,4,0)
|
|
if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
|
|
++carry;
|
|
|
|
BN_192_SET(t_d,5,5,5)
|
|
if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
|
|
++carry;
|
|
|
|
while (carry)
|
|
{
|
|
if (bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP))
|
|
--carry;
|
|
}
|
|
r->top = BN_NIST_192_TOP;
|
|
|
|
#if 1
|
|
bn_clear_top2max(r);
|
|
#endif
|
|
bn_fix_top(r);
|
|
|
|
if (BN_ucmp(r, field) >= 0)
|
|
{
|
|
bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP);
|
|
bn_fix_top(r);
|
|
}
|
|
|
|
return 1;
|
|
}
|
|
|
|
#define BN_224_SET(d,a1,a2,a3,a4,a5,a6,a7) \
|
|
{\
|
|
register BN_ULONG *td = (d);\
|
|
BN_CP_32_FROM_BUF(td,a7); BN_CP_32_FROM_BUF(td,a6);\
|
|
BN_CP_32_FROM_BUF(td,a5); BN_CP_32_FROM_BUF(td,a4);\
|
|
BN_CP_32_FROM_BUF(td,a3); BN_CP_32_FROM_BUF(td,a2);\
|
|
BN_CP_32_FROM_BUF(td,a1);\
|
|
}
|
|
|
|
int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
|
|
BN_CTX *ctx)
|
|
{
|
|
#ifndef NO_32_BIT_TYPE
|
|
int tmp_int;
|
|
int carry = 0;
|
|
BN_ULONG *r_d, *a_d;
|
|
BN_ULONG t_d[BN_NIST_224_TOP];
|
|
BN_32_BIT_BUF(7) BN_32_BIT_BUF(8)
|
|
BN_32_BIT_BUF(9) BN_32_BIT_BUF(10)
|
|
BN_32_BIT_BUF(11) BN_32_BIT_BUF(12)
|
|
BN_32_BIT_BUF(13)
|
|
|
|
tmp_int = BN_ucmp(field, a);
|
|
if (tmp_int == 0)
|
|
return BN_zero(r);
|
|
else if (tmp_int > 0)
|
|
return (r == a)? 1 : (BN_copy(r ,a) != NULL);
|
|
|
|
if (r != a)
|
|
if (!BN_ncopy(r, a, BN_NIST_224_TOP))
|
|
return 0;
|
|
|
|
r_d = r->d;
|
|
a_d = a->d;
|
|
|
|
tmp_int = a->top-1;
|
|
|
|
switch (tmp_int)
|
|
{
|
|
BN_CASE_32_BIT(13, a_d)
|
|
BN_CASE_32_BIT(12, a_d)
|
|
BN_CASE_32_BIT(11, a_d)
|
|
BN_CASE_32_BIT(10, a_d)
|
|
BN_CASE_32_BIT(9, a_d)
|
|
BN_CASE_32_BIT(8, a_d)
|
|
BN_CASE_32_BIT(7, a_d)
|
|
break;
|
|
default: /* a->top == field->top */
|
|
return BN_usub(r, a, field);
|
|
}
|
|
|
|
BN_224_SET(t_d,10,9,8,7,0,0,0)
|
|
if (bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP))
|
|
++carry;
|
|
BN_224_SET(t_d,0,13,12,11,0,0,0)
|
|
if (bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP))
|
|
++carry;
|
|
BN_224_SET(t_d,13,12,11,10,9,8,7)
|
|
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP))
|
|
--carry;
|
|
BN_224_SET(t_d,0,0,0,0,13,12,11)
|
|
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP))
|
|
--carry;
|
|
|
|
if (carry > 0)
|
|
while (carry)
|
|
{
|
|
if (bn_sub_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP))
|
|
--carry;
|
|
}
|
|
else if (carry < 0)
|
|
while (carry)
|
|
{
|
|
if (bn_add_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP))
|
|
++carry;
|
|
}
|
|
|
|
r->top = BN_NIST_224_TOP;
|
|
#if 1
|
|
bn_clear_top2max(r);
|
|
#endif
|
|
bn_fix_top(r);
|
|
|
|
if (BN_ucmp(r, field) >= 0)
|
|
{
|
|
bn_sub_words(r_d, r_d, _nist_p_224, BN_NIST_224_TOP);
|
|
bn_fix_top(r);
|
|
}
|
|
return 1;
|
|
#else
|
|
return 0;
|
|
#endif
|
|
}
|
|
|
|
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;
|
|
}
|
|
|
|
#define BN_256_SET(d,a1,a2,a3,a4,a5,a6,a7,a8) \
|
|
{\
|
|
register BN_ULONG *td = (d);\
|
|
BN_CP_32_FROM_BUF(td,a8); BN_CP_32_FROM_BUF(td,a7);\
|
|
BN_CP_32_FROM_BUF(td,a6); BN_CP_32_FROM_BUF(td,a5);\
|
|
BN_CP_32_FROM_BUF(td,a4); BN_CP_32_FROM_BUF(td,a3);\
|
|
BN_CP_32_FROM_BUF(td,a2); BN_CP_32_FROM_BUF(td,a1);\
|
|
}
|
|
|
|
int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
|
|
BN_CTX *ctx)
|
|
{
|
|
#ifndef NO_32_BIT_TYPE
|
|
int tmp_int;
|
|
int carry = 0;
|
|
register BN_ULONG *a_d, *r_d;
|
|
BN_ULONG t_d[BN_NIST_256_TOP];
|
|
BN_ULONG t_d2[BN_NIST_256_TOP];
|
|
BN_32_BIT_BUF(8) BN_32_BIT_BUF(9)
|
|
BN_32_BIT_BUF(10) BN_32_BIT_BUF(11)
|
|
BN_32_BIT_BUF(12) BN_32_BIT_BUF(13)
|
|
BN_32_BIT_BUF(14) BN_32_BIT_BUF(15)
|
|
|
|
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);
|
|
}
|
|
|
|
tmp_int = BN_ucmp(field, a);
|
|
if (tmp_int == 0)
|
|
return BN_zero(r);
|
|
else if (tmp_int > 0)
|
|
return (r == a)? 1 : (BN_copy(r ,a) != NULL);
|
|
|
|
if (r != a)
|
|
if (!BN_ncopy(r, a, BN_NIST_256_TOP))
|
|
return 0;
|
|
|
|
tmp_int = a->top-1;
|
|
|
|
a_d = a->d;
|
|
r_d = r->d;
|
|
switch (tmp_int)
|
|
{
|
|
BN_CASE_32_BIT(15, a_d)
|
|
BN_CASE_32_BIT(14, a_d)
|
|
BN_CASE_32_BIT(13, a_d)
|
|
BN_CASE_32_BIT(12, a_d)
|
|
BN_CASE_32_BIT(11, a_d)
|
|
BN_CASE_32_BIT(10, a_d)
|
|
BN_CASE_32_BIT(9, a_d)
|
|
BN_CASE_32_BIT(8, a_d)
|
|
break;
|
|
default: /* a->top == field->top */
|
|
return BN_usub(r, a, field);
|
|
}
|
|
|
|
/*S1*/
|
|
BN_256_SET(t_d,15,14,13,12,11,0,0,0)
|
|
/*S2*/
|
|
BN_256_SET(t_d2,0,15,14,13,12,0,0,0)
|
|
if (bn_add_words(t_d, t_d, t_d2, BN_NIST_256_TOP))
|
|
carry = 2;
|
|
/* left shift */
|
|
{
|
|
register BN_ULONG *ap,t,c;
|
|
ap = t_d;
|
|
c=0;
|
|
for (tmp_int=BN_NIST_256_TOP; tmp_int != 0; --tmp_int)
|
|
{
|
|
t= *ap;
|
|
*(ap++)=((t<<1)|c)&BN_MASK2;
|
|
c=(t & BN_TBIT)?1:0;
|
|
}
|
|
if (c)
|
|
++carry;
|
|
}
|
|
|
|
if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP))
|
|
++carry;
|
|
/*S3*/
|
|
BN_256_SET(t_d,15,14,0,0,0,10,9,8)
|
|
if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP))
|
|
++carry;
|
|
/*S4*/
|
|
BN_256_SET(t_d,8,13,15,14,13,11,10,9)
|
|
if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP))
|
|
++carry;
|
|
/*D1*/
|
|
BN_256_SET(t_d,10,8,0,0,0,13,12,11)
|
|
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
|
|
--carry;
|
|
/*D2*/
|
|
BN_256_SET(t_d,11,9,0,0,15,14,13,12)
|
|
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
|
|
--carry;
|
|
/*D3*/
|
|
BN_256_SET(t_d,12,0,10,9,8,15,14,13)
|
|
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
|
|
--carry;
|
|
/*D4*/
|
|
BN_256_SET(t_d,13,0,11,10,9,0,15,14)
|
|
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
|
|
--carry;
|
|
|
|
if (carry)
|
|
{
|
|
if (carry > 0)
|
|
bn_sub_words(r_d, r_d, _256_data + BN_NIST_256_TOP *
|
|
--carry, BN_NIST_256_TOP);
|
|
else
|
|
{
|
|
carry = -carry;
|
|
bn_add_words(r_d, r_d, _256_data + BN_NIST_256_TOP *
|
|
--carry, BN_NIST_256_TOP);
|
|
}
|
|
}
|
|
|
|
r->top = BN_NIST_256_TOP;
|
|
#if 1
|
|
bn_clear_top2max(r);
|
|
#endif
|
|
bn_fix_top(r);
|
|
|
|
if (BN_ucmp(r, field) >= 0)
|
|
{
|
|
bn_sub_words(r_d, r_d, _nist_p_256, BN_NIST_256_TOP);
|
|
bn_fix_top(r);
|
|
}
|
|
return 1;
|
|
#else
|
|
return 0;
|
|
#endif
|
|
}
|
|
|
|
static void _init_384_data(void)
|
|
{
|
|
int i;
|
|
BN_ULONG *tmp1 = _384_data;
|
|
const BN_ULONG *tmp2 = tmp1;
|
|
|
|
memcpy(tmp1, _nist_p_384, BN_NIST_384_TOP * sizeof(BN_ULONG));
|
|
tmp1 += BN_NIST_384_TOP;
|
|
|
|
for (i=0; i<7; i++)
|
|
{
|
|
bn_add_words(tmp1, _nist_p_384, tmp2, BN_NIST_384_TOP);
|
|
tmp2 = tmp1;
|
|
tmp1 += BN_NIST_384_TOP;
|
|
}
|
|
_is_set_384_data = 1;
|
|
}
|
|
|
|
#define BN_384_SET(d,a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12) \
|
|
{\
|
|
register BN_ULONG *td = (d);\
|
|
BN_CP_32_FROM_BUF(td,a12); BN_CP_32_FROM_BUF(td,a11);\
|
|
BN_CP_32_FROM_BUF(td,a10); BN_CP_32_FROM_BUF(td,a9);\
|
|
BN_CP_32_FROM_BUF(td,a8); BN_CP_32_FROM_BUF(td,a7);\
|
|
BN_CP_32_FROM_BUF(td,a6); BN_CP_32_FROM_BUF(td,a5);\
|
|
BN_CP_32_FROM_BUF(td,a4); BN_CP_32_FROM_BUF(td,a3);\
|
|
BN_CP_32_FROM_BUF(td,a2); BN_CP_32_FROM_BUF(td,a1);\
|
|
}
|
|
|
|
int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
|
|
BN_CTX *ctx)
|
|
{
|
|
#ifndef NO_32_BIT_TYPE
|
|
int tmp_int;
|
|
int carry = 0;
|
|
register BN_ULONG *r_d, *a_d;
|
|
BN_ULONG t_d[BN_NIST_384_TOP];
|
|
BN_32_BIT_BUF(12) BN_32_BIT_BUF(13)
|
|
BN_32_BIT_BUF(14) BN_32_BIT_BUF(15)
|
|
BN_32_BIT_BUF(16) BN_32_BIT_BUF(17)
|
|
BN_32_BIT_BUF(18) BN_32_BIT_BUF(19)
|
|
BN_32_BIT_BUF(20) BN_32_BIT_BUF(21)
|
|
BN_32_BIT_BUF(22) BN_32_BIT_BUF(23)
|
|
|
|
if (!_is_set_384_data)
|
|
{
|
|
CRYPTO_w_lock(CRYPTO_LOCK_BN);
|
|
|
|
if (!_is_set_384_data)
|
|
_init_384_data();
|
|
|
|
CRYPTO_w_unlock(CRYPTO_LOCK_BN);
|
|
}
|
|
|
|
tmp_int = BN_ucmp(field, a);
|
|
if (tmp_int == 0)
|
|
return BN_zero(r);
|
|
else if (tmp_int > 0)
|
|
return (r == a)? 1 : (BN_copy(r ,a) != NULL);
|
|
|
|
if (r != a)
|
|
if (!BN_ncopy(r, a, BN_NIST_384_TOP))
|
|
return 0;
|
|
|
|
r_d = r->d;
|
|
a_d = a->d;
|
|
tmp_int = a->top-1;
|
|
|
|
switch (tmp_int)
|
|
{
|
|
BN_CASE_32_BIT(23, a_d)
|
|
BN_CASE_32_BIT(22, a_d)
|
|
BN_CASE_32_BIT(21, a_d)
|
|
BN_CASE_32_BIT(20, a_d)
|
|
BN_CASE_32_BIT(19, a_d)
|
|
BN_CASE_32_BIT(18, a_d)
|
|
BN_CASE_32_BIT(17, a_d)
|
|
BN_CASE_32_BIT(16, a_d)
|
|
BN_CASE_32_BIT(15, a_d)
|
|
BN_CASE_32_BIT(14, a_d)
|
|
BN_CASE_32_BIT(13, a_d)
|
|
BN_CASE_32_BIT(12, a_d)
|
|
break;
|
|
default: /* a->top == field->top */
|
|
return BN_usub(r, a, field);
|
|
}
|
|
|
|
/*S1*/
|
|
BN_256_SET(t_d,0,0,0,0,0,23,22,21)
|
|
/* left shift */
|
|
{
|
|
register BN_ULONG *ap,t,c;
|
|
ap = t_d;
|
|
c=0;
|
|
for (tmp_int=BN_NIST_256_TOP; tmp_int != 0; --tmp_int)
|
|
{
|
|
t= *ap;
|
|
*(ap++)=((t<<1)|c)&BN_MASK2;
|
|
c=(t & BN_TBIT)?1:0;
|
|
}
|
|
}
|
|
if (bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2),
|
|
t_d, BN_NIST_256_TOP))
|
|
++carry;
|
|
/*S2*/
|
|
BN_384_SET(t_d,23,22,21,20,19,18,17,16,15,14,13,12)
|
|
if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
|
|
++carry;
|
|
/*S3*/
|
|
BN_384_SET(t_d,20,19,18,17,16,15,14,13,12,23,22,21)
|
|
if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
|
|
++carry;
|
|
/*S4*/
|
|
BN_384_SET(t_d,19,18,17,16,15,14,13,12,20,0,23,0)
|
|
if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
|
|
++carry;
|
|
/*S5*/
|
|
BN_256_SET(t_d,0,0,0,0,23,22,21,20)
|
|
if (bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2),
|
|
t_d, BN_NIST_256_TOP))
|
|
++carry;
|
|
/*S6*/
|
|
BN_384_SET(t_d,0,0,0,0,0,0,23,22,21,0,0,20)
|
|
if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
|
|
++carry;
|
|
/*D1*/
|
|
BN_384_SET(t_d,22,21,20,19,18,17,16,15,14,13,12,23)
|
|
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
|
|
--carry;
|
|
/*D2*/
|
|
BN_384_SET(t_d,0,0,0,0,0,0,0,23,22,21,20,0)
|
|
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
|
|
--carry;
|
|
/*D3*/
|
|
BN_384_SET(t_d,0,0,0,0,0,0,0,23,23,0,0,0)
|
|
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
|
|
--carry;
|
|
|
|
if (carry)
|
|
{
|
|
if (carry > 0)
|
|
bn_sub_words(r_d, r_d, _384_data + BN_NIST_384_TOP *
|
|
--carry, BN_NIST_384_TOP);
|
|
else
|
|
{
|
|
carry = -carry;
|
|
bn_add_words(r_d, r_d, _384_data + BN_NIST_384_TOP *
|
|
--carry, BN_NIST_384_TOP);
|
|
}
|
|
}
|
|
|
|
r->top = BN_NIST_384_TOP;
|
|
#if 1
|
|
bn_clear_top2max(r);
|
|
#endif
|
|
bn_fix_top(r);
|
|
|
|
if (BN_ucmp(r, field) >= 0)
|
|
{
|
|
bn_sub_words(r_d, r_d, _nist_p_384, BN_NIST_384_TOP);
|
|
bn_fix_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_ncopy(tmp, a, BN_NIST_521_TOP))
|
|
return 0;
|
|
if (!BN_rshift(r, a, 521))
|
|
return 0;
|
|
|
|
if (tmp->top == BN_NIST_521_TOP)
|
|
tmp->d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK;
|
|
|
|
if (!BN_uadd(r, tmp, r))
|
|
return 0;
|
|
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_fix_top(r);
|
|
|
|
ret = 1;
|
|
err:
|
|
BN_CTX_end(ctx);
|
|
|
|
return ret;
|
|
}
|