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/* $OpenBSD: bn_nist.c,v 1.18 2016/07/18 01:04:52 bcook Exp $ */ |
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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 <machine/endian.h> |
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#include <stdint.h> |
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#include <string.h> |
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#include "bn_lcl.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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/* pre-computed tables are "carry-less" values of modulus*(i+1) */ |
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#if BN_BITS2 == 64 |
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static const BN_ULONG _nist_p_192[][BN_NIST_192_TOP] = { |
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{0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFEULL, 0xFFFFFFFFFFFFFFFFULL}, |
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{0xFFFFFFFFFFFFFFFEULL, 0xFFFFFFFFFFFFFFFDULL, 0xFFFFFFFFFFFFFFFFULL}, |
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{0xFFFFFFFFFFFFFFFDULL, 0xFFFFFFFFFFFFFFFCULL, 0xFFFFFFFFFFFFFFFFULL} |
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}; |
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static const BN_ULONG _nist_p_192_sqr[] = { |
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0x0000000000000001ULL, 0x0000000000000002ULL, 0x0000000000000001ULL, |
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0xFFFFFFFFFFFFFFFEULL, 0xFFFFFFFFFFFFFFFDULL, 0xFFFFFFFFFFFFFFFFULL |
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}; |
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static const BN_ULONG _nist_p_224[][BN_NIST_224_TOP] = { |
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{ |
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0x0000000000000001ULL, 0xFFFFFFFF00000000ULL, |
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0xFFFFFFFFFFFFFFFFULL, 0x00000000FFFFFFFFULL |
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}, |
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{ |
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0x0000000000000002ULL, 0xFFFFFFFE00000000ULL, |
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0xFFFFFFFFFFFFFFFFULL, 0x00000001FFFFFFFFULL |
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} /* this one is "carry-full" */ |
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}; |
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static const BN_ULONG _nist_p_224_sqr[] = { |
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0x0000000000000001ULL, 0xFFFFFFFE00000000ULL, |
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0xFFFFFFFFFFFFFFFFULL, 0x0000000200000000ULL, |
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0x0000000000000000ULL, 0xFFFFFFFFFFFFFFFEULL, |
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0xFFFFFFFFFFFFFFFFULL |
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}; |
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static const BN_ULONG _nist_p_256[][BN_NIST_256_TOP] = { |
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{ |
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0xFFFFFFFFFFFFFFFFULL, 0x00000000FFFFFFFFULL, |
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0x0000000000000000ULL, 0xFFFFFFFF00000001ULL |
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}, |
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{ |
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0xFFFFFFFFFFFFFFFEULL, 0x00000001FFFFFFFFULL, |
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0x0000000000000000ULL, 0xFFFFFFFE00000002ULL |
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}, |
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{ |
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0xFFFFFFFFFFFFFFFDULL, 0x00000002FFFFFFFFULL, |
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0x0000000000000000ULL, 0xFFFFFFFD00000003ULL |
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}, |
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{ |
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0xFFFFFFFFFFFFFFFCULL, 0x00000003FFFFFFFFULL, |
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0x0000000000000000ULL, 0xFFFFFFFC00000004ULL |
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}, |
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{ |
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0xFFFFFFFFFFFFFFFBULL, 0x00000004FFFFFFFFULL, |
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0x0000000000000000ULL, 0xFFFFFFFB00000005ULL |
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}, |
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}; |
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static const BN_ULONG _nist_p_256_sqr[] = { |
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0x0000000000000001ULL, 0xFFFFFFFE00000000ULL, |
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0xFFFFFFFFFFFFFFFFULL, 0x00000001FFFFFFFEULL, |
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0x00000001FFFFFFFEULL, 0x00000001FFFFFFFEULL, |
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0xFFFFFFFE00000001ULL, 0xFFFFFFFE00000002ULL |
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}; |
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static const BN_ULONG _nist_p_384[][BN_NIST_384_TOP] = { |
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{ |
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0x00000000FFFFFFFFULL, 0xFFFFFFFF00000000ULL, |
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0xFFFFFFFFFFFFFFFEULL, 0xFFFFFFFFFFFFFFFFULL, |
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0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL |
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}, |
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{ |
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0x00000001FFFFFFFEULL, 0xFFFFFFFE00000000ULL, |
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0xFFFFFFFFFFFFFFFDULL, 0xFFFFFFFFFFFFFFFFULL, |
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0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL |
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}, |
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{ |
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0x00000002FFFFFFFDULL, 0xFFFFFFFD00000000ULL, |
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0xFFFFFFFFFFFFFFFCULL, 0xFFFFFFFFFFFFFFFFULL, |
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0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL |
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}, |
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{ |
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0x00000003FFFFFFFCULL, 0xFFFFFFFC00000000ULL, |
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0xFFFFFFFFFFFFFFFBULL, 0xFFFFFFFFFFFFFFFFULL, |
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0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL |
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}, |
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{ |
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0x00000004FFFFFFFBULL, 0xFFFFFFFB00000000ULL, |
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0xFFFFFFFFFFFFFFFAULL, 0xFFFFFFFFFFFFFFFFULL, |
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0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL |
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}, |
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}; |
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static const BN_ULONG _nist_p_384_sqr[] = { |
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0xFFFFFFFE00000001ULL, 0x0000000200000000ULL, 0xFFFFFFFE00000000ULL, |
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0x0000000200000000ULL, 0x0000000000000001ULL, 0x0000000000000000ULL, |
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0x00000001FFFFFFFEULL, 0xFFFFFFFE00000000ULL, 0xFFFFFFFFFFFFFFFDULL, |
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0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL |
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}; |
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static const BN_ULONG _nist_p_521[] = { |
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0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, |
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0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, |
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0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0x00000000000001FFULL |
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}; |
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static const BN_ULONG _nist_p_521_sqr[] = { |
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0x0000000000000001ULL, 0x0000000000000000ULL, 0x0000000000000000ULL, |
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0x0000000000000000ULL, 0x0000000000000000ULL, 0x0000000000000000ULL, |
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0x0000000000000000ULL, 0x0000000000000000ULL, 0xFFFFFFFFFFFFFC00ULL, |
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0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, |
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0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, |
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0xFFFFFFFFFFFFFFFFULL, 0x000000000003FFFFULL |
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}; |
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#elif BN_BITS2 == 32 |
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static const BN_ULONG _nist_p_192[][BN_NIST_192_TOP] = { |
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{ |
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0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFE, 0xFFFFFFFF, |
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0xFFFFFFFF, 0xFFFFFFFF |
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}, |
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{ |
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0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFD, 0xFFFFFFFF, |
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0xFFFFFFFF, 0xFFFFFFFF |
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}, |
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{ |
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0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFC, 0xFFFFFFFF, |
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0xFFFFFFFF, 0xFFFFFFFF |
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} |
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}; |
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static const BN_ULONG _nist_p_192_sqr[] = { |
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0x00000001, 0x00000000, 0x00000002, 0x00000000, 0x00000001, 0x00000000, |
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0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF |
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}; |
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static const BN_ULONG _nist_p_224[][BN_NIST_224_TOP] = { |
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{ |
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0x00000001, 0x00000000, 0x00000000, 0xFFFFFFFF, |
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0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF |
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}, |
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{ |
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0x00000002, 0x00000000, 0x00000000, 0xFFFFFFFE, |
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0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF |
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} |
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}; |
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static const BN_ULONG _nist_p_224_sqr[] = { |
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0x00000001, 0x00000000, 0x00000000, 0xFFFFFFFE, |
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0xFFFFFFFF, 0xFFFFFFFF, 0x00000000, 0x00000002, |
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0x00000000, 0x00000000, 0xFFFFFFFE, 0xFFFFFFFF, |
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0xFFFFFFFF, 0xFFFFFFFF |
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}; |
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static const BN_ULONG _nist_p_256[][BN_NIST_256_TOP] = { |
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{ |
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0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000000, |
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0x00000000, 0x00000000, 0x00000001, 0xFFFFFFFF |
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}, |
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{ |
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0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000001, |
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0x00000000, 0x00000000, 0x00000002, 0xFFFFFFFE |
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}, |
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{ |
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0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000002, |
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0x00000000, 0x00000000, 0x00000003, 0xFFFFFFFD |
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}, |
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{ |
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0xFFFFFFFC, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000003, |
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0x00000000, 0x00000000, 0x00000004, 0xFFFFFFFC |
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}, |
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{ |
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0xFFFFFFFB, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000004, |
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0x00000000, 0x00000000, 0x00000005, 0xFFFFFFFB |
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}, |
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}; |
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static const BN_ULONG _nist_p_256_sqr[] = { |
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0x00000001, 0x00000000, 0x00000000, 0xFFFFFFFE, |
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0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFE, 0x00000001, |
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0xFFFFFFFE, 0x00000001, 0xFFFFFFFE, 0x00000001, |
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0x00000001, 0xFFFFFFFE, 0x00000002, 0xFFFFFFFE |
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}; |
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static const BN_ULONG _nist_p_384[][BN_NIST_384_TOP] = { |
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{ |
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0xFFFFFFFF, 0x00000000, 0x00000000, 0xFFFFFFFF, |
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0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, |
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0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF |
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}, |
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{ |
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0xFFFFFFFE, 0x00000001, 0x00000000, 0xFFFFFFFE, |
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0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, |
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0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF |
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}, |
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{ |
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0xFFFFFFFD, 0x00000002, 0x00000000, 0xFFFFFFFD, |
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0xFFFFFFFC, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, |
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0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF |
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}, |
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{ |
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0xFFFFFFFC, 0x00000003, 0x00000000, 0xFFFFFFFC, |
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0xFFFFFFFB, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, |
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0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF |
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}, |
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{ |
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0xFFFFFFFB, 0x00000004, 0x00000000, 0xFFFFFFFB, |
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0xFFFFFFFA, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, |
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0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF |
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}, |
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}; |
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static const BN_ULONG _nist_p_384_sqr[] = { |
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0x00000001, 0xFFFFFFFE, 0x00000000, 0x00000002, 0x00000000, 0xFFFFFFFE, |
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0x00000000, 0x00000002, 0x00000001, 0x00000000, 0x00000000, 0x00000000, |
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0xFFFFFFFE, 0x00000001, 0x00000000, 0xFFFFFFFE, 0xFFFFFFFD, 0xFFFFFFFF, |
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0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF |
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}; |
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static const BN_ULONG _nist_p_521[] = { |
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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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}; |
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static const BN_ULONG _nist_p_521_sqr[] = { |
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0x00000001, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, |
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0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, |
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0x00000000, 0x00000000, 0x00000000, 0x00000000, 0xFFFFFC00, 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, 0xFFFFFFFF, 0x0003FFFF |
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}; |
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#else |
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#error "unsupported BN_BITS2" |
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#endif |
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static const BIGNUM _bignum_nist_p_192 = { |
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(BN_ULONG *)_nist_p_192[0], |
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BN_NIST_192_TOP, |
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BN_NIST_192_TOP, |
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0, |
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BN_FLG_STATIC_DATA |
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}; |
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static const BIGNUM _bignum_nist_p_224 = { |
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(BN_ULONG *)_nist_p_224[0], |
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BN_NIST_224_TOP, |
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BN_NIST_224_TOP, |
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0, |
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BN_FLG_STATIC_DATA |
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}; |
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static const BIGNUM _bignum_nist_p_256 = { |
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(BN_ULONG *)_nist_p_256[0], |
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BN_NIST_256_TOP, |
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BN_NIST_256_TOP, |
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0, |
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BN_FLG_STATIC_DATA |
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}; |
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static const BIGNUM _bignum_nist_p_384 = { |
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(BN_ULONG *)_nist_p_384[0], |
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BN_NIST_384_TOP, |
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BN_NIST_384_TOP, |
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0, |
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BN_FLG_STATIC_DATA |
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}; |
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static const BIGNUM _bignum_nist_p_521 = { |
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(BN_ULONG *)_nist_p_521, |
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BN_NIST_521_TOP, |
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BN_NIST_521_TOP, |
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0, |
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BN_FLG_STATIC_DATA |
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}; |
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const BIGNUM * |
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BN_get0_nist_prime_192(void) |
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{ |
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return &_bignum_nist_p_192; |
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} |
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const BIGNUM * |
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BN_get0_nist_prime_224(void) |
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{ |
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return &_bignum_nist_p_224; |
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} |
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|
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const BIGNUM * |
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BN_get0_nist_prime_256(void) |
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{ |
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return &_bignum_nist_p_256; |
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} |
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|
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const BIGNUM * |
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BN_get0_nist_prime_384(void) |
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{ |
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return &_bignum_nist_p_384; |
350 |
|
|
} |
351 |
|
|
|
352 |
|
|
const BIGNUM * |
353 |
|
|
BN_get0_nist_prime_521(void) |
354 |
|
|
{ |
355 |
|
|
return &_bignum_nist_p_521; |
356 |
|
|
} |
357 |
|
|
|
358 |
|
|
static void |
359 |
|
|
nist_cp_bn_0(BN_ULONG *dst, const BN_ULONG *src, int top, int max) |
360 |
|
|
{ |
361 |
|
|
int i; |
362 |
|
|
|
363 |
|
|
#ifdef BN_DEBUG |
364 |
|
|
OPENSSL_assert(top <= max); |
365 |
|
|
#endif |
366 |
|
|
for (i = 0; i < top; i++) |
367 |
|
|
dst[i] = src[i]; |
368 |
|
|
for (; i < max; i++) |
369 |
|
|
dst[i] = 0; |
370 |
|
|
} |
371 |
|
|
|
372 |
|
|
static void nist_cp_bn(BN_ULONG *dst, const BN_ULONG *src, int top) |
373 |
|
|
{ |
374 |
|
|
int i; |
375 |
|
|
|
376 |
|
|
for (i = 0; i < top; i++) |
377 |
|
|
dst[i] = src[i]; |
378 |
|
|
} |
379 |
|
|
|
380 |
|
|
#if BN_BITS2 == 64 |
381 |
|
|
#define bn_cp_64(to, n, from, m) (to)[n] = (m>=0)?((from)[m]):0; |
382 |
|
|
#define bn_64_set_0(to, n) (to)[n] = (BN_ULONG)0; |
383 |
|
|
/* |
384 |
|
|
* two following macros are implemented under assumption that they |
385 |
|
|
* are called in a sequence with *ascending* n, i.e. as they are... |
386 |
|
|
*/ |
387 |
|
|
#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))\ |
388 |
|
|
:(to[(n)/2] =((m)&1)?(from[(m)/2]>>32):(from[(m)/2]&BN_MASK2l))) |
389 |
|
|
#define bn_32_set_0(to, n) (((n)&1)?(to[(n)/2]&=BN_MASK2l):(to[(n)/2]=0)); |
390 |
|
|
#define bn_cp_32(to,n,from,m) ((m)>=0)?bn_cp_32_naked(to,n,from,m):bn_32_set_0(to,n) |
391 |
|
|
# if BYTE_ORDER == LITTLE_ENDIAN |
392 |
|
|
# if defined(_LP64) |
393 |
|
|
# define NIST_INT64 long |
394 |
|
|
# else |
395 |
|
|
# define NIST_INT64 long long |
396 |
|
|
# endif |
397 |
|
|
# endif |
398 |
|
|
#else |
399 |
|
|
#define bn_cp_64(to, n, from, m) \ |
400 |
|
|
{ \ |
401 |
|
|
bn_cp_32(to, (n)*2, from, (m)*2); \ |
402 |
|
|
bn_cp_32(to, (n)*2+1, from, (m)*2+1); \ |
403 |
|
|
} |
404 |
|
|
#define bn_64_set_0(to, n) \ |
405 |
|
|
{ \ |
406 |
|
|
bn_32_set_0(to, (n)*2); \ |
407 |
|
|
bn_32_set_0(to, (n)*2+1); \ |
408 |
|
|
} |
409 |
|
|
#define bn_cp_32(to, n, from, m) (to)[n] = (m>=0)?((from)[m]):0; |
410 |
|
|
#define bn_32_set_0(to, n) (to)[n] = (BN_ULONG)0; |
411 |
|
|
# if defined(BN_LLONG) |
412 |
|
|
# define NIST_INT64 long long |
413 |
|
|
# endif |
414 |
|
|
#endif /* BN_BITS2 != 64 */ |
415 |
|
|
|
416 |
|
|
#define nist_set_192(to, from, a1, a2, a3) \ |
417 |
|
|
{ \ |
418 |
|
|
bn_cp_64(to, 0, from, (a3) - 3) \ |
419 |
|
|
bn_cp_64(to, 1, from, (a2) - 3) \ |
420 |
|
|
bn_cp_64(to, 2, from, (a1) - 3) \ |
421 |
|
|
} |
422 |
|
|
|
423 |
|
|
int |
424 |
|
|
BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, BN_CTX *ctx) |
425 |
|
|
{ |
426 |
|
|
int top = a->top, i; |
427 |
|
|
int carry; |
428 |
|
|
BN_ULONG *r_d, *a_d = a->d; |
429 |
|
|
union { |
430 |
|
|
BN_ULONG bn[BN_NIST_192_TOP]; |
431 |
|
|
unsigned int ui[BN_NIST_192_TOP * |
432 |
|
|
sizeof(BN_ULONG) / sizeof(unsigned int)]; |
433 |
|
|
} buf; |
434 |
|
|
BN_ULONG c_d[BN_NIST_192_TOP], *res; |
435 |
|
|
uintptr_t mask; |
436 |
|
|
static const BIGNUM _bignum_nist_p_192_sqr = { |
437 |
|
|
(BN_ULONG *)_nist_p_192_sqr, |
438 |
|
|
sizeof(_nist_p_192_sqr) / sizeof(_nist_p_192_sqr[0]), |
439 |
|
|
sizeof(_nist_p_192_sqr) / sizeof(_nist_p_192_sqr[0]), |
440 |
|
|
0, |
441 |
|
|
BN_FLG_STATIC_DATA |
442 |
|
|
}; |
443 |
|
|
|
444 |
|
|
field = &_bignum_nist_p_192; /* just to make sure */ |
445 |
|
|
|
446 |
|
|
if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_192_sqr) >= 0) |
447 |
|
|
return BN_nnmod(r, a, field, ctx); |
448 |
|
|
|
449 |
|
|
i = BN_ucmp(field, a); |
450 |
|
|
if (i == 0) { |
451 |
|
|
BN_zero(r); |
452 |
|
|
return 1; |
453 |
|
|
} else if (i > 0) |
454 |
|
|
return (r == a) ? 1 : (BN_copy(r , a) != NULL); |
455 |
|
|
|
456 |
|
|
if (r != a) { |
457 |
|
|
if (!bn_wexpand(r, BN_NIST_192_TOP)) |
458 |
|
|
return 0; |
459 |
|
|
r_d = r->d; |
460 |
|
|
nist_cp_bn(r_d, a_d, BN_NIST_192_TOP); |
461 |
|
|
} else |
462 |
|
|
r_d = a_d; |
463 |
|
|
|
464 |
|
|
nist_cp_bn_0(buf.bn, a_d + BN_NIST_192_TOP, top - BN_NIST_192_TOP, |
465 |
|
|
BN_NIST_192_TOP); |
466 |
|
|
|
467 |
|
|
#if defined(NIST_INT64) |
468 |
|
|
{ |
469 |
|
|
NIST_INT64 acc; /* accumulator */ |
470 |
|
|
unsigned int *rp = (unsigned int *)r_d; |
471 |
|
|
const unsigned int *bp = (const unsigned int *)buf.ui; |
472 |
|
|
|
473 |
|
|
acc = rp[0]; |
474 |
|
|
acc += bp[3 * 2 - 6]; |
475 |
|
|
acc += bp[5 * 2 - 6]; |
476 |
|
|
rp[0] = (unsigned int)acc; |
477 |
|
|
acc >>= 32; |
478 |
|
|
|
479 |
|
|
acc += rp[1]; |
480 |
|
|
acc += bp[3 * 2 - 5]; |
481 |
|
|
acc += bp[5 * 2 - 5]; |
482 |
|
|
rp[1] = (unsigned int)acc; |
483 |
|
|
acc >>= 32; |
484 |
|
|
|
485 |
|
|
acc += rp[2]; |
486 |
|
|
acc += bp[3 * 2 - 6]; |
487 |
|
|
acc += bp[4 * 2 - 6]; |
488 |
|
|
acc += bp[5 * 2 - 6]; |
489 |
|
|
rp[2] = (unsigned int)acc; |
490 |
|
|
acc >>= 32; |
491 |
|
|
|
492 |
|
|
acc += rp[3]; |
493 |
|
|
acc += bp[3 * 2 - 5]; |
494 |
|
|
acc += bp[4 * 2 - 5]; |
495 |
|
|
acc += bp[5 * 2 - 5]; |
496 |
|
|
rp[3] = (unsigned int)acc; |
497 |
|
|
acc >>= 32; |
498 |
|
|
|
499 |
|
|
acc += rp[4]; |
500 |
|
|
acc += bp[4 * 2 - 6]; |
501 |
|
|
acc += bp[5 * 2 - 6]; |
502 |
|
|
rp[4] = (unsigned int)acc; |
503 |
|
|
acc >>= 32; |
504 |
|
|
|
505 |
|
|
acc += rp[5]; |
506 |
|
|
acc += bp[4 * 2 - 5]; |
507 |
|
|
acc += bp[5 * 2 - 5]; |
508 |
|
|
rp[5] = (unsigned int)acc; |
509 |
|
|
|
510 |
|
|
carry = (int)(acc >> 32); |
511 |
|
|
} |
512 |
|
|
#else |
513 |
|
|
{ |
514 |
|
|
BN_ULONG t_d[BN_NIST_192_TOP] = {0}; |
515 |
|
|
|
516 |
|
|
nist_set_192(t_d, buf.bn, 0, 3, 3); |
517 |
|
|
carry = (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP); |
518 |
|
|
nist_set_192(t_d, buf.bn, 4, 4, 0); |
519 |
|
|
carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP); |
520 |
|
|
nist_set_192(t_d, buf.bn, 5, 5, 5) |
521 |
|
|
carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP); |
522 |
|
|
} |
523 |
|
|
#endif |
524 |
|
|
if (carry > 0) |
525 |
|
|
carry = (int)bn_sub_words(r_d, r_d, _nist_p_192[carry - 1], |
526 |
|
|
BN_NIST_192_TOP); |
527 |
|
|
else |
528 |
|
|
carry = 1; |
529 |
|
|
|
530 |
|
|
/* |
531 |
|
|
* we need 'if (carry==0 || result>=modulus) result-=modulus;' |
532 |
|
|
* as comparison implies subtraction, we can write |
533 |
|
|
* 'tmp=result-modulus; if (!carry || !borrow) result=tmp;' |
534 |
|
|
* this is what happens below, but without explicit if:-) a. |
535 |
|
|
*/ |
536 |
|
|
mask = 0 - (uintptr_t)bn_sub_words(c_d, r_d, _nist_p_192[0], |
537 |
|
|
BN_NIST_192_TOP); |
538 |
|
|
mask &= 0 - (uintptr_t)carry; |
539 |
|
|
res = c_d; |
540 |
|
|
res = (BN_ULONG *)(((uintptr_t)res & ~mask) | ((uintptr_t)r_d & mask)); |
541 |
|
|
nist_cp_bn(r_d, res, BN_NIST_192_TOP); |
542 |
|
|
r->top = BN_NIST_192_TOP; |
543 |
|
|
bn_correct_top(r); |
544 |
|
|
|
545 |
|
|
return 1; |
546 |
|
|
} |
547 |
|
|
|
548 |
|
|
typedef BN_ULONG (*bn_addsub_f)(BN_ULONG *, const BN_ULONG *, |
549 |
|
|
const BN_ULONG *, int); |
550 |
|
|
|
551 |
|
|
#define nist_set_224(to, from, a1, a2, a3, a4, a5, a6, a7) \ |
552 |
|
|
{ \ |
553 |
|
|
bn_cp_32(to, 0, from, (a7) - 7) \ |
554 |
|
|
bn_cp_32(to, 1, from, (a6) - 7) \ |
555 |
|
|
bn_cp_32(to, 2, from, (a5) - 7) \ |
556 |
|
|
bn_cp_32(to, 3, from, (a4) - 7) \ |
557 |
|
|
bn_cp_32(to, 4, from, (a3) - 7) \ |
558 |
|
|
bn_cp_32(to, 5, from, (a2) - 7) \ |
559 |
|
|
bn_cp_32(to, 6, from, (a1) - 7) \ |
560 |
|
|
} |
561 |
|
|
|
562 |
|
|
int |
563 |
|
|
BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, BN_CTX *ctx) |
564 |
|
|
{ |
565 |
|
|
int top = a->top, i; |
566 |
|
|
int carry; |
567 |
|
|
BN_ULONG *r_d, *a_d = a->d; |
568 |
|
|
union { |
569 |
|
|
BN_ULONG bn[BN_NIST_224_TOP]; |
570 |
|
|
unsigned int ui[BN_NIST_224_TOP * |
571 |
|
|
sizeof(BN_ULONG) / sizeof(unsigned int)]; |
572 |
|
|
} buf; |
573 |
|
|
BN_ULONG c_d[BN_NIST_224_TOP], *res; |
574 |
|
|
uintptr_t mask; |
575 |
|
|
union { |
576 |
|
|
bn_addsub_f f; |
577 |
|
|
uintptr_t p; |
578 |
|
|
} u; |
579 |
|
|
static const BIGNUM _bignum_nist_p_224_sqr = { |
580 |
|
|
(BN_ULONG *)_nist_p_224_sqr, |
581 |
|
|
sizeof(_nist_p_224_sqr) / sizeof(_nist_p_224_sqr[0]), |
582 |
|
|
sizeof(_nist_p_224_sqr) / sizeof(_nist_p_224_sqr[0]), |
583 |
|
|
0, |
584 |
|
|
BN_FLG_STATIC_DATA |
585 |
|
|
}; |
586 |
|
|
|
587 |
|
|
field = &_bignum_nist_p_224; /* just to make sure */ |
588 |
|
|
|
589 |
|
|
if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_224_sqr) >= 0) |
590 |
|
|
return BN_nnmod(r, a, field, ctx); |
591 |
|
|
|
592 |
|
|
i = BN_ucmp(field, a); |
593 |
|
|
if (i == 0) { |
594 |
|
|
BN_zero(r); |
595 |
|
|
return 1; |
596 |
|
|
} else if (i > 0) |
597 |
|
|
return (r == a) ? 1 : (BN_copy(r, a) != NULL); |
598 |
|
|
|
599 |
|
|
if (r != a) { |
600 |
|
|
if (!bn_wexpand(r, BN_NIST_224_TOP)) |
601 |
|
|
return 0; |
602 |
|
|
r_d = r->d; |
603 |
|
|
nist_cp_bn(r_d, a_d, BN_NIST_224_TOP); |
604 |
|
|
} else |
605 |
|
|
r_d = a_d; |
606 |
|
|
|
607 |
|
|
memset(&buf, 0, sizeof(buf)); |
608 |
|
|
|
609 |
|
|
#if BN_BITS2==64 |
610 |
|
|
/* copy upper 256 bits of 448 bit number ... */ |
611 |
|
|
nist_cp_bn_0(c_d, a_d + (BN_NIST_224_TOP - 1), |
612 |
|
|
top - (BN_NIST_224_TOP - 1), BN_NIST_224_TOP); |
613 |
|
|
/* ... and right shift by 32 to obtain upper 224 bits */ |
614 |
|
|
nist_set_224(buf.bn, c_d, 14, 13, 12, 11, 10, 9, 8); |
615 |
|
|
/* truncate lower part to 224 bits too */ |
616 |
|
|
r_d[BN_NIST_224_TOP - 1] &= BN_MASK2l; |
617 |
|
|
#else |
618 |
|
|
nist_cp_bn_0(buf.bn, a_d + BN_NIST_224_TOP, |
619 |
|
|
top - BN_NIST_224_TOP, BN_NIST_224_TOP); |
620 |
|
|
#endif |
621 |
|
|
|
622 |
|
|
#if defined(NIST_INT64) && BN_BITS2!=64 |
623 |
|
|
{ |
624 |
|
|
NIST_INT64 acc; /* accumulator */ |
625 |
|
|
unsigned int *rp = (unsigned int *)r_d; |
626 |
|
|
const unsigned int *bp = (const unsigned int *)buf.ui; |
627 |
|
|
|
628 |
|
|
acc = rp[0]; |
629 |
|
|
acc -= bp[7 - 7]; |
630 |
|
|
acc -= bp[11 - 7]; |
631 |
|
|
rp[0] = (unsigned int)acc; |
632 |
|
|
acc >>= 32; |
633 |
|
|
|
634 |
|
|
acc += rp[1]; |
635 |
|
|
acc -= bp[8 - 7]; |
636 |
|
|
acc -= bp[12 - 7]; |
637 |
|
|
rp[1] = (unsigned int)acc; |
638 |
|
|
acc >>= 32; |
639 |
|
|
|
640 |
|
|
acc += rp[2]; |
641 |
|
|
acc -= bp[9 - 7]; |
642 |
|
|
acc -= bp[13 - 7]; |
643 |
|
|
rp[2] = (unsigned int)acc; |
644 |
|
|
acc >>= 32; |
645 |
|
|
|
646 |
|
|
acc += rp[3]; |
647 |
|
|
acc += bp[7 - 7]; |
648 |
|
|
acc += bp[11 - 7]; |
649 |
|
|
acc -= bp[10 - 7]; |
650 |
|
|
rp[3] = (unsigned int)acc; |
651 |
|
|
acc >>= 32; |
652 |
|
|
|
653 |
|
|
acc += rp[4]; |
654 |
|
|
acc += bp[8 - 7]; |
655 |
|
|
acc += bp[12 - 7]; |
656 |
|
|
acc -= bp[11 - 7]; |
657 |
|
|
rp[4] = (unsigned int)acc; |
658 |
|
|
acc >>= 32; |
659 |
|
|
|
660 |
|
|
acc += rp[5]; |
661 |
|
|
acc += bp[9 - 7]; |
662 |
|
|
acc += bp[13 - 7]; |
663 |
|
|
acc -= bp[12 - 7]; |
664 |
|
|
rp[5] = (unsigned int)acc; |
665 |
|
|
acc >>= 32; |
666 |
|
|
|
667 |
|
|
acc += rp[6]; |
668 |
|
|
acc += bp[10 - 7]; |
669 |
|
|
acc -= bp[13 - 7]; |
670 |
|
|
rp[6] = (unsigned int)acc; |
671 |
|
|
|
672 |
|
|
carry = (int)(acc >> 32); |
673 |
|
|
# if BN_BITS2==64 |
674 |
|
|
rp[7] = carry; |
675 |
|
|
# endif |
676 |
|
|
} |
677 |
|
|
#else |
678 |
|
|
{ |
679 |
|
|
BN_ULONG t_d[BN_NIST_224_TOP] = {0}; |
680 |
|
|
|
681 |
|
|
nist_set_224(t_d, buf.bn, 10, 9, 8, 7, 0, 0, 0); |
682 |
|
|
carry = (int)bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP); |
683 |
|
|
nist_set_224(t_d, buf.bn, 0, 13, 12, 11, 0, 0, 0); |
684 |
|
|
carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP); |
685 |
|
|
nist_set_224(t_d, buf.bn, 13, 12, 11, 10, 9, 8, 7); |
686 |
|
|
carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP); |
687 |
|
|
nist_set_224(t_d, buf.bn, 0, 0, 0, 0, 13, 12, 11); |
688 |
|
|
carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP); |
689 |
|
|
|
690 |
|
|
#if BN_BITS2==64 |
691 |
|
|
carry = (int)(r_d[BN_NIST_224_TOP - 1] >> 32); |
692 |
|
|
#endif |
693 |
|
|
} |
694 |
|
|
#endif |
695 |
|
|
u.f = bn_sub_words; |
696 |
|
|
if (carry > 0) { |
697 |
|
|
carry = (int)bn_sub_words(r_d, r_d, _nist_p_224[carry - 1], |
698 |
|
|
BN_NIST_224_TOP); |
699 |
|
|
#if BN_BITS2==64 |
700 |
|
|
carry = (int)(~(r_d[BN_NIST_224_TOP - 1] >> 32)) & 1; |
701 |
|
|
#endif |
702 |
|
|
} else if (carry < 0) { |
703 |
|
|
/* it's a bit more complicated logic in this case. |
704 |
|
|
* if bn_add_words yields no carry, then result |
705 |
|
|
* has to be adjusted by unconditionally *adding* |
706 |
|
|
* the modulus. but if it does, then result has |
707 |
|
|
* to be compared to the modulus and conditionally |
708 |
|
|
* adjusted by *subtracting* the latter. */ |
709 |
|
|
carry = (int)bn_add_words(r_d, r_d, _nist_p_224[-carry - 1], |
710 |
|
|
BN_NIST_224_TOP); |
711 |
|
|
mask = 0 - (uintptr_t)carry; |
712 |
|
|
u.p = ((uintptr_t)bn_sub_words & mask) | |
713 |
|
|
((uintptr_t)bn_add_words & ~mask); |
714 |
|
|
} else |
715 |
|
|
carry = 1; |
716 |
|
|
|
717 |
|
|
/* otherwise it's effectively same as in BN_nist_mod_192... */ |
718 |
|
|
mask = 0 - (uintptr_t)(*u.f)(c_d, r_d, _nist_p_224[0], BN_NIST_224_TOP); |
719 |
|
|
mask &= 0 - (uintptr_t)carry; |
720 |
|
|
res = c_d; |
721 |
|
|
res = (BN_ULONG *)(((uintptr_t)res & ~mask) | ((uintptr_t)r_d & mask)); |
722 |
|
|
nist_cp_bn(r_d, res, BN_NIST_224_TOP); |
723 |
|
|
r->top = BN_NIST_224_TOP; |
724 |
|
|
bn_correct_top(r); |
725 |
|
|
|
726 |
|
|
return 1; |
727 |
|
|
} |
728 |
|
|
|
729 |
|
|
#define nist_set_256(to, from, a1, a2, a3, a4, a5, a6, a7, a8) \ |
730 |
|
|
{ \ |
731 |
|
|
bn_cp_32(to, 0, from, (a8) - 8) \ |
732 |
|
|
bn_cp_32(to, 1, from, (a7) - 8) \ |
733 |
|
|
bn_cp_32(to, 2, from, (a6) - 8) \ |
734 |
|
|
bn_cp_32(to, 3, from, (a5) - 8) \ |
735 |
|
|
bn_cp_32(to, 4, from, (a4) - 8) \ |
736 |
|
|
bn_cp_32(to, 5, from, (a3) - 8) \ |
737 |
|
|
bn_cp_32(to, 6, from, (a2) - 8) \ |
738 |
|
|
bn_cp_32(to, 7, from, (a1) - 8) \ |
739 |
|
|
} |
740 |
|
|
|
741 |
|
|
int |
742 |
|
|
BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, BN_CTX *ctx) |
743 |
|
|
{ |
744 |
|
|
int i, top = a->top; |
745 |
|
|
int carry = 0; |
746 |
|
|
BN_ULONG *a_d = a->d, *r_d; |
747 |
|
|
union { |
748 |
|
|
BN_ULONG bn[BN_NIST_256_TOP]; |
749 |
|
|
unsigned int ui[BN_NIST_256_TOP * |
750 |
|
|
sizeof(BN_ULONG) / sizeof(unsigned int)]; |
751 |
|
|
} buf; |
752 |
|
|
BN_ULONG c_d[BN_NIST_256_TOP] = {0}, *res; |
753 |
|
|
uintptr_t mask; |
754 |
|
|
union { |
755 |
|
|
bn_addsub_f f; |
756 |
|
|
uintptr_t p; |
757 |
|
|
} u; |
758 |
|
|
static const BIGNUM _bignum_nist_p_256_sqr = { |
759 |
|
|
(BN_ULONG *)_nist_p_256_sqr, |
760 |
|
|
sizeof(_nist_p_256_sqr) / sizeof(_nist_p_256_sqr[0]), |
761 |
|
|
sizeof(_nist_p_256_sqr) / sizeof(_nist_p_256_sqr[0]), |
762 |
|
|
0, |
763 |
|
|
BN_FLG_STATIC_DATA |
764 |
|
|
}; |
765 |
|
|
|
766 |
|
|
field = &_bignum_nist_p_256; /* just to make sure */ |
767 |
|
|
|
768 |
|
|
if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_256_sqr) >= 0) |
769 |
|
|
return BN_nnmod(r, a, field, ctx); |
770 |
|
|
|
771 |
|
|
i = BN_ucmp(field, a); |
772 |
|
|
if (i == 0) { |
773 |
|
|
BN_zero(r); |
774 |
|
|
return 1; |
775 |
|
|
} else if (i > 0) |
776 |
|
|
return (r == a) ? 1 : (BN_copy(r, a) != NULL); |
777 |
|
|
|
778 |
|
|
if (r != a) { |
779 |
|
|
if (!bn_wexpand(r, BN_NIST_256_TOP)) |
780 |
|
|
return 0; |
781 |
|
|
r_d = r->d; |
782 |
|
|
nist_cp_bn(r_d, a_d, BN_NIST_256_TOP); |
783 |
|
|
} else |
784 |
|
|
r_d = a_d; |
785 |
|
|
|
786 |
|
|
nist_cp_bn_0(buf.bn, a_d + BN_NIST_256_TOP, |
787 |
|
|
top - BN_NIST_256_TOP, BN_NIST_256_TOP); |
788 |
|
|
|
789 |
|
|
#if defined(NIST_INT64) |
790 |
|
|
{ |
791 |
|
|
NIST_INT64 acc; /* accumulator */ |
792 |
|
|
unsigned int *rp = (unsigned int *)r_d; |
793 |
|
|
const unsigned int *bp = (const unsigned int *)buf.ui; |
794 |
|
|
|
795 |
|
|
acc = rp[0]; |
796 |
|
|
acc += bp[8 - 8]; |
797 |
|
|
acc += bp[9 - 8]; |
798 |
|
|
acc -= bp[11 - 8]; |
799 |
|
|
acc -= bp[12 - 8]; |
800 |
|
|
acc -= bp[13 - 8]; |
801 |
|
|
acc -= bp[14 - 8]; |
802 |
|
|
rp[0] = (unsigned int)acc; |
803 |
|
|
acc >>= 32; |
804 |
|
|
|
805 |
|
|
acc += rp[1]; |
806 |
|
|
acc += bp[9 - 8]; |
807 |
|
|
acc += bp[10 - 8]; |
808 |
|
|
acc -= bp[12 - 8]; |
809 |
|
|
acc -= bp[13 - 8]; |
810 |
|
|
acc -= bp[14 - 8]; |
811 |
|
|
acc -= bp[15 - 8]; |
812 |
|
|
rp[1] = (unsigned int)acc; |
813 |
|
|
acc >>= 32; |
814 |
|
|
|
815 |
|
|
acc += rp[2]; |
816 |
|
|
acc += bp[10 - 8]; |
817 |
|
|
acc += bp[11 - 8]; |
818 |
|
|
acc -= bp[13 - 8]; |
819 |
|
|
acc -= bp[14 - 8]; |
820 |
|
|
acc -= bp[15 - 8]; |
821 |
|
|
rp[2] = (unsigned int)acc; |
822 |
|
|
acc >>= 32; |
823 |
|
|
|
824 |
|
|
acc += rp[3]; |
825 |
|
|
acc += bp[11 - 8]; |
826 |
|
|
acc += bp[11 - 8]; |
827 |
|
|
acc += bp[12 - 8]; |
828 |
|
|
acc += bp[12 - 8]; |
829 |
|
|
acc += bp[13 - 8]; |
830 |
|
|
acc -= bp[15 - 8]; |
831 |
|
|
acc -= bp[8 - 8]; |
832 |
|
|
acc -= bp[9 - 8]; |
833 |
|
|
rp[3] = (unsigned int)acc; |
834 |
|
|
acc >>= 32; |
835 |
|
|
|
836 |
|
|
acc += rp[4]; |
837 |
|
|
acc += bp[12 - 8]; |
838 |
|
|
acc += bp[12 - 8]; |
839 |
|
|
acc += bp[13 - 8]; |
840 |
|
|
acc += bp[13 - 8]; |
841 |
|
|
acc += bp[14 - 8]; |
842 |
|
|
acc -= bp[9 - 8]; |
843 |
|
|
acc -= bp[10 - 8]; |
844 |
|
|
rp[4] = (unsigned int)acc; |
845 |
|
|
acc >>= 32; |
846 |
|
|
|
847 |
|
|
acc += rp[5]; |
848 |
|
|
acc += bp[13 - 8]; |
849 |
|
|
acc += bp[13 - 8]; |
850 |
|
|
acc += bp[14 - 8]; |
851 |
|
|
acc += bp[14 - 8]; |
852 |
|
|
acc += bp[15 - 8]; |
853 |
|
|
acc -= bp[10 - 8]; |
854 |
|
|
acc -= bp[11 - 8]; |
855 |
|
|
rp[5] = (unsigned int)acc; |
856 |
|
|
acc >>= 32; |
857 |
|
|
|
858 |
|
|
acc += rp[6]; |
859 |
|
|
acc += bp[14 - 8]; |
860 |
|
|
acc += bp[14 - 8]; |
861 |
|
|
acc += bp[15 - 8]; |
862 |
|
|
acc += bp[15 - 8]; |
863 |
|
|
acc += bp[14 - 8]; |
864 |
|
|
acc += bp[13 - 8]; |
865 |
|
|
acc -= bp[8 - 8]; |
866 |
|
|
acc -= bp[9 - 8]; |
867 |
|
|
rp[6] = (unsigned int)acc; |
868 |
|
|
acc >>= 32; |
869 |
|
|
|
870 |
|
|
acc += rp[7]; |
871 |
|
|
acc += bp[15 - 8]; |
872 |
|
|
acc += bp[15 - 8]; |
873 |
|
|
acc += bp[15 - 8]; |
874 |
|
|
acc += bp[8 - 8]; |
875 |
|
|
acc -= bp[10 - 8]; |
876 |
|
|
acc -= bp[11 - 8]; |
877 |
|
|
acc -= bp[12 - 8]; |
878 |
|
|
acc -= bp[13 - 8]; |
879 |
|
|
rp[7] = (unsigned int)acc; |
880 |
|
|
|
881 |
|
|
carry = (int)(acc >> 32); |
882 |
|
|
} |
883 |
|
|
#else |
884 |
|
|
{ |
885 |
|
|
BN_ULONG t_d[BN_NIST_256_TOP] = {0}; |
886 |
|
|
|
887 |
|
|
/*S1*/ |
888 |
|
|
nist_set_256(t_d, buf.bn, 15, 14, 13, 12, 11, 0, 0, 0); |
889 |
|
|
/*S2*/ |
890 |
|
|
nist_set_256(c_d, buf.bn, 0, 15, 14, 13, 12, 0, 0, 0); |
891 |
|
|
carry = (int)bn_add_words(t_d, t_d, c_d, BN_NIST_256_TOP); |
892 |
|
|
/* left shift */ |
893 |
|
|
{ |
894 |
|
|
BN_ULONG *ap, t, c; |
895 |
|
|
ap = t_d; |
896 |
|
|
c = 0; |
897 |
|
|
for (i = BN_NIST_256_TOP; i != 0; --i) { |
898 |
|
|
t = *ap; |
899 |
|
|
*(ap++) = ((t << 1) | c) & BN_MASK2; |
900 |
|
|
c = (t & BN_TBIT) ? 1 : 0; |
901 |
|
|
} |
902 |
|
|
carry <<= 1; |
903 |
|
|
carry |= c; |
904 |
|
|
} |
905 |
|
|
carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP); |
906 |
|
|
/*S3*/ |
907 |
|
|
nist_set_256(t_d, buf.bn, 15, 14, 0, 0, 0, 10, 9, 8); |
908 |
|
|
carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP); |
909 |
|
|
/*S4*/ |
910 |
|
|
nist_set_256(t_d, buf.bn, 8, 13, 15, 14, 13, 11, 10, 9); |
911 |
|
|
carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP); |
912 |
|
|
/*D1*/ |
913 |
|
|
nist_set_256(t_d, buf.bn, 10, 8, 0, 0, 0, 13, 12, 11); |
914 |
|
|
carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP); |
915 |
|
|
/*D2*/ |
916 |
|
|
nist_set_256(t_d, buf.bn, 11, 9, 0, 0, 15, 14, 13, 12); |
917 |
|
|
carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP); |
918 |
|
|
/*D3*/ |
919 |
|
|
nist_set_256(t_d, buf.bn, 12, 0, 10, 9, 8, 15, 14, 13); |
920 |
|
|
carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP); |
921 |
|
|
/*D4*/ |
922 |
|
|
nist_set_256(t_d, buf.bn, 13, 0, 11, 10, 9, 0, 15, 14); |
923 |
|
|
carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP); |
924 |
|
|
|
925 |
|
|
} |
926 |
|
|
#endif |
927 |
|
|
/* see BN_nist_mod_224 for explanation */ |
928 |
|
|
u.f = bn_sub_words; |
929 |
|
|
if (carry > 0) |
930 |
|
|
carry = (int)bn_sub_words(r_d, r_d, _nist_p_256[carry - 1], |
931 |
|
|
BN_NIST_256_TOP); |
932 |
|
|
else if (carry < 0) { |
933 |
|
|
carry = (int)bn_add_words(r_d, r_d, _nist_p_256[-carry - 1], |
934 |
|
|
BN_NIST_256_TOP); |
935 |
|
|
mask = 0 - (uintptr_t)carry; |
936 |
|
|
u.p = ((uintptr_t)bn_sub_words & mask) | |
937 |
|
|
((uintptr_t)bn_add_words & ~mask); |
938 |
|
|
} else |
939 |
|
|
carry = 1; |
940 |
|
|
|
941 |
|
|
mask = 0 - (uintptr_t)(*u.f)(c_d, r_d, _nist_p_256[0], BN_NIST_256_TOP); |
942 |
|
|
mask &= 0 - (uintptr_t)carry; |
943 |
|
|
res = c_d; |
944 |
|
|
res = (BN_ULONG *)(((uintptr_t)res & ~mask) | ((uintptr_t)r_d & mask)); |
945 |
|
|
nist_cp_bn(r_d, res, BN_NIST_256_TOP); |
946 |
|
|
r->top = BN_NIST_256_TOP; |
947 |
|
|
bn_correct_top(r); |
948 |
|
|
|
949 |
|
|
return 1; |
950 |
|
|
} |
951 |
|
|
|
952 |
|
|
#define nist_set_384(to,from,a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12) \ |
953 |
|
|
{ \ |
954 |
|
|
bn_cp_32(to, 0, from, (a12) - 12) \ |
955 |
|
|
bn_cp_32(to, 1, from, (a11) - 12) \ |
956 |
|
|
bn_cp_32(to, 2, from, (a10) - 12) \ |
957 |
|
|
bn_cp_32(to, 3, from, (a9) - 12) \ |
958 |
|
|
bn_cp_32(to, 4, from, (a8) - 12) \ |
959 |
|
|
bn_cp_32(to, 5, from, (a7) - 12) \ |
960 |
|
|
bn_cp_32(to, 6, from, (a6) - 12) \ |
961 |
|
|
bn_cp_32(to, 7, from, (a5) - 12) \ |
962 |
|
|
bn_cp_32(to, 8, from, (a4) - 12) \ |
963 |
|
|
bn_cp_32(to, 9, from, (a3) - 12) \ |
964 |
|
|
bn_cp_32(to, 10, from, (a2) - 12) \ |
965 |
|
|
bn_cp_32(to, 11, from, (a1) - 12) \ |
966 |
|
|
} |
967 |
|
|
|
968 |
|
|
int |
969 |
|
|
BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, BN_CTX *ctx) |
970 |
|
|
{ |
971 |
|
|
int i, top = a->top; |
972 |
|
|
int carry = 0; |
973 |
|
|
BN_ULONG *r_d, *a_d = a->d; |
974 |
|
|
union { |
975 |
|
|
BN_ULONG bn[BN_NIST_384_TOP]; |
976 |
|
|
unsigned int ui[BN_NIST_384_TOP * |
977 |
|
|
sizeof(BN_ULONG) / sizeof(unsigned int)]; |
978 |
|
|
} buf; |
979 |
|
|
BN_ULONG c_d[BN_NIST_384_TOP], *res; |
980 |
|
|
uintptr_t mask; |
981 |
|
|
union { |
982 |
|
|
bn_addsub_f f; |
983 |
|
|
uintptr_t p; |
984 |
|
|
} u; |
985 |
|
|
static const BIGNUM _bignum_nist_p_384_sqr = { |
986 |
|
|
(BN_ULONG *)_nist_p_384_sqr, |
987 |
|
|
sizeof(_nist_p_384_sqr) / sizeof(_nist_p_384_sqr[0]), |
988 |
|
|
sizeof(_nist_p_384_sqr) / sizeof(_nist_p_384_sqr[0]), |
989 |
|
|
0, |
990 |
|
|
BN_FLG_STATIC_DATA |
991 |
|
|
}; |
992 |
|
|
|
993 |
|
|
field = &_bignum_nist_p_384; /* just to make sure */ |
994 |
|
|
|
995 |
|
|
if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_384_sqr) >= 0) |
996 |
|
|
return BN_nnmod(r, a, field, ctx); |
997 |
|
|
|
998 |
|
|
i = BN_ucmp(field, a); |
999 |
|
|
if (i == 0) { |
1000 |
|
|
BN_zero(r); |
1001 |
|
|
return 1; |
1002 |
|
|
} else if (i > 0) |
1003 |
|
|
return (r == a) ? 1 : (BN_copy(r, a) != NULL); |
1004 |
|
|
|
1005 |
|
|
if (r != a) { |
1006 |
|
|
if (!bn_wexpand(r, BN_NIST_384_TOP)) |
1007 |
|
|
return 0; |
1008 |
|
|
r_d = r->d; |
1009 |
|
|
nist_cp_bn(r_d, a_d, BN_NIST_384_TOP); |
1010 |
|
|
} else |
1011 |
|
|
r_d = a_d; |
1012 |
|
|
|
1013 |
|
|
nist_cp_bn_0(buf.bn, a_d + BN_NIST_384_TOP, |
1014 |
|
|
top - BN_NIST_384_TOP, BN_NIST_384_TOP); |
1015 |
|
|
|
1016 |
|
|
#if defined(NIST_INT64) |
1017 |
|
|
{ |
1018 |
|
|
NIST_INT64 acc; /* accumulator */ |
1019 |
|
|
unsigned int *rp = (unsigned int *)r_d; |
1020 |
|
|
const unsigned int *bp = (const unsigned int *)buf.ui; |
1021 |
|
|
|
1022 |
|
|
acc = rp[0]; |
1023 |
|
|
acc += bp[12 - 12]; |
1024 |
|
|
acc += bp[21 - 12]; |
1025 |
|
|
acc += bp[20 - 12]; |
1026 |
|
|
acc -= bp[23 - 12]; |
1027 |
|
|
rp[0] = (unsigned int)acc; |
1028 |
|
|
acc >>= 32; |
1029 |
|
|
|
1030 |
|
|
acc += rp[1]; |
1031 |
|
|
acc += bp[13 - 12]; |
1032 |
|
|
acc += bp[22 - 12]; |
1033 |
|
|
acc += bp[23 - 12]; |
1034 |
|
|
acc -= bp[12 - 12]; |
1035 |
|
|
acc -= bp[20 - 12]; |
1036 |
|
|
rp[1] = (unsigned int)acc; |
1037 |
|
|
acc >>= 32; |
1038 |
|
|
|
1039 |
|
|
acc += rp[2]; |
1040 |
|
|
acc += bp[14 - 12]; |
1041 |
|
|
acc += bp[23 - 12]; |
1042 |
|
|
acc -= bp[13 - 12]; |
1043 |
|
|
acc -= bp[21 - 12]; |
1044 |
|
|
rp[2] = (unsigned int)acc; |
1045 |
|
|
acc >>= 32; |
1046 |
|
|
|
1047 |
|
|
acc += rp[3]; |
1048 |
|
|
acc += bp[15 - 12]; |
1049 |
|
|
acc += bp[12 - 12]; |
1050 |
|
|
acc += bp[20 - 12]; |
1051 |
|
|
acc += bp[21 - 12]; |
1052 |
|
|
acc -= bp[14 - 12]; |
1053 |
|
|
acc -= bp[22 - 12]; |
1054 |
|
|
acc -= bp[23 - 12]; |
1055 |
|
|
rp[3] = (unsigned int)acc; |
1056 |
|
|
acc >>= 32; |
1057 |
|
|
|
1058 |
|
|
acc += rp[4]; |
1059 |
|
|
acc += bp[21 - 12]; |
1060 |
|
|
acc += bp[21 - 12]; |
1061 |
|
|
acc += bp[16 - 12]; |
1062 |
|
|
acc += bp[13 - 12]; |
1063 |
|
|
acc += bp[12 - 12]; |
1064 |
|
|
acc += bp[20 - 12]; |
1065 |
|
|
acc += bp[22 - 12]; |
1066 |
|
|
acc -= bp[15 - 12]; |
1067 |
|
|
acc -= bp[23 - 12]; |
1068 |
|
|
acc -= bp[23 - 12]; |
1069 |
|
|
rp[4] = (unsigned int)acc; |
1070 |
|
|
acc >>= 32; |
1071 |
|
|
|
1072 |
|
|
acc += rp[5]; |
1073 |
|
|
acc += bp[22 - 12]; |
1074 |
|
|
acc += bp[22 - 12]; |
1075 |
|
|
acc += bp[17 - 12]; |
1076 |
|
|
acc += bp[14 - 12]; |
1077 |
|
|
acc += bp[13 - 12]; |
1078 |
|
|
acc += bp[21 - 12]; |
1079 |
|
|
acc += bp[23 - 12]; |
1080 |
|
|
acc -= bp[16 - 12]; |
1081 |
|
|
rp[5] = (unsigned int)acc; |
1082 |
|
|
acc >>= 32; |
1083 |
|
|
|
1084 |
|
|
acc += rp[6]; |
1085 |
|
|
acc += bp[23 - 12]; |
1086 |
|
|
acc += bp[23 - 12]; |
1087 |
|
|
acc += bp[18 - 12]; |
1088 |
|
|
acc += bp[15 - 12]; |
1089 |
|
|
acc += bp[14 - 12]; |
1090 |
|
|
acc += bp[22 - 12]; |
1091 |
|
|
acc -= bp[17 - 12]; |
1092 |
|
|
rp[6] = (unsigned int)acc; |
1093 |
|
|
acc >>= 32; |
1094 |
|
|
|
1095 |
|
|
acc += rp[7]; |
1096 |
|
|
acc += bp[19 - 12]; |
1097 |
|
|
acc += bp[16 - 12]; |
1098 |
|
|
acc += bp[15 - 12]; |
1099 |
|
|
acc += bp[23 - 12]; |
1100 |
|
|
acc -= bp[18 - 12]; |
1101 |
|
|
rp[7] = (unsigned int)acc; |
1102 |
|
|
acc >>= 32; |
1103 |
|
|
|
1104 |
|
|
acc += rp[8]; |
1105 |
|
|
acc += bp[20 - 12]; |
1106 |
|
|
acc += bp[17 - 12]; |
1107 |
|
|
acc += bp[16 - 12]; |
1108 |
|
|
acc -= bp[19 - 12]; |
1109 |
|
|
rp[8] = (unsigned int)acc; |
1110 |
|
|
acc >>= 32; |
1111 |
|
|
|
1112 |
|
|
acc += rp[9]; |
1113 |
|
|
acc += bp[21 - 12]; |
1114 |
|
|
acc += bp[18 - 12]; |
1115 |
|
|
acc += bp[17 - 12]; |
1116 |
|
|
acc -= bp[20 - 12]; |
1117 |
|
|
rp[9] = (unsigned int)acc; |
1118 |
|
|
acc >>= 32; |
1119 |
|
|
|
1120 |
|
|
acc += rp[10]; |
1121 |
|
|
acc += bp[22 - 12]; |
1122 |
|
|
acc += bp[19 - 12]; |
1123 |
|
|
acc += bp[18 - 12]; |
1124 |
|
|
acc -= bp[21 - 12]; |
1125 |
|
|
rp[10] = (unsigned int)acc; |
1126 |
|
|
acc >>= 32; |
1127 |
|
|
|
1128 |
|
|
acc += rp[11]; |
1129 |
|
|
acc += bp[23 - 12]; |
1130 |
|
|
acc += bp[20 - 12]; |
1131 |
|
|
acc += bp[19 - 12]; |
1132 |
|
|
acc -= bp[22 - 12]; |
1133 |
|
|
rp[11] = (unsigned int)acc; |
1134 |
|
|
|
1135 |
|
|
carry = (int)(acc >> 32); |
1136 |
|
|
} |
1137 |
|
|
#else |
1138 |
|
|
{ |
1139 |
|
|
BN_ULONG t_d[BN_NIST_384_TOP] = {0}; |
1140 |
|
|
|
1141 |
|
|
/*S1*/ |
1142 |
|
|
nist_set_256(t_d, buf.bn, 0, 0, 0, 0, 0, 23 - 4, 22 - 4, |
1143 |
|
|
21 - 4); |
1144 |
|
|
/* left shift */ |
1145 |
|
|
{ |
1146 |
|
|
BN_ULONG *ap, t, c; |
1147 |
|
|
ap = t_d; |
1148 |
|
|
c = 0; |
1149 |
|
|
for (i = 3; i != 0; --i) { |
1150 |
|
|
t= *ap; |
1151 |
|
|
*(ap++) = ((t << 1)|c) & BN_MASK2; |
1152 |
|
|
c = (t & BN_TBIT) ? 1 : 0; |
1153 |
|
|
} |
1154 |
|
|
*ap = c; |
1155 |
|
|
} |
1156 |
|
|
carry = (int)bn_add_words(r_d + (128 / BN_BITS2), |
1157 |
|
|
r_d + (128 / BN_BITS2), t_d, BN_NIST_256_TOP); |
1158 |
|
|
/*S2 */ |
1159 |
|
|
carry += (int)bn_add_words(r_d, r_d, buf.bn, BN_NIST_384_TOP); |
1160 |
|
|
/*S3*/ |
1161 |
|
|
nist_set_384(t_d, buf.bn, 20, 19, 18, 17, 16, 15, 14, 13, 12, |
1162 |
|
|
23, 22, 21); |
1163 |
|
|
carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP); |
1164 |
|
|
/*S4*/ |
1165 |
|
|
nist_set_384(t_d, buf.bn, 19, 18, 17, 16, 15, 14, 13, 12, 20, |
1166 |
|
|
0, 23, 0); |
1167 |
|
|
carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP); |
1168 |
|
|
/*S5*/ |
1169 |
|
|
nist_set_384(t_d, buf.bn, 0,0, 0,0, 23, 22, 21, 20, 0,0, 0, 0); |
1170 |
|
|
carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP); |
1171 |
|
|
/*S6*/ |
1172 |
|
|
nist_set_384(t_d, buf.bn, 0,0, 0,0, 0,0, 23, 22, 21, 0,0, 20); |
1173 |
|
|
carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP); |
1174 |
|
|
/*D1*/ |
1175 |
|
|
nist_set_384(t_d, buf.bn, 22, 21, 20, 19, 18, 17, 16, 15, 14, |
1176 |
|
|
13, 12, 23); |
1177 |
|
|
carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP); |
1178 |
|
|
/*D2*/ |
1179 |
|
|
nist_set_384(t_d, buf.bn, 0,0, 0,0, 0,0, 0,23, 22, 21, 20, 0); |
1180 |
|
|
carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP); |
1181 |
|
|
/*D3*/ |
1182 |
|
|
nist_set_384(t_d, buf.bn, 0,0, 0,0, 0,0, 0,23, 23, 0,0, 0); |
1183 |
|
|
carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP); |
1184 |
|
|
|
1185 |
|
|
} |
1186 |
|
|
#endif |
1187 |
|
|
/* see BN_nist_mod_224 for explanation */ |
1188 |
|
|
u.f = bn_sub_words; |
1189 |
|
|
if (carry > 0) |
1190 |
|
|
carry = (int)bn_sub_words(r_d, r_d, _nist_p_384[carry - 1], |
1191 |
|
|
BN_NIST_384_TOP); |
1192 |
|
|
else if (carry < 0) { |
1193 |
|
|
carry = (int)bn_add_words(r_d, r_d, _nist_p_384[-carry - 1], |
1194 |
|
|
BN_NIST_384_TOP); |
1195 |
|
|
mask = 0 - (uintptr_t)carry; |
1196 |
|
|
u.p = ((uintptr_t)bn_sub_words & mask) | |
1197 |
|
|
((uintptr_t)bn_add_words & ~mask); |
1198 |
|
|
} else |
1199 |
|
|
carry = 1; |
1200 |
|
|
|
1201 |
|
|
mask = 0 - (uintptr_t)(*u.f)(c_d, r_d, _nist_p_384[0], BN_NIST_384_TOP); |
1202 |
|
|
mask &= 0 - (uintptr_t)carry; |
1203 |
|
|
res = c_d; |
1204 |
|
|
res = (BN_ULONG *)(((uintptr_t)res & ~mask) | ((uintptr_t)r_d & mask)); |
1205 |
|
|
nist_cp_bn(r_d, res, BN_NIST_384_TOP); |
1206 |
|
|
r->top = BN_NIST_384_TOP; |
1207 |
|
|
bn_correct_top(r); |
1208 |
|
|
|
1209 |
|
|
return 1; |
1210 |
|
|
} |
1211 |
|
|
|
1212 |
|
|
#define BN_NIST_521_RSHIFT (521%BN_BITS2) |
1213 |
|
|
#define BN_NIST_521_LSHIFT (BN_BITS2-BN_NIST_521_RSHIFT) |
1214 |
|
|
#define BN_NIST_521_TOP_MASK ((BN_ULONG)BN_MASK2>>BN_NIST_521_LSHIFT) |
1215 |
|
|
|
1216 |
|
|
int |
1217 |
|
|
BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, BN_CTX *ctx) |
1218 |
|
|
{ |
1219 |
|
|
int top = a->top, i; |
1220 |
|
|
BN_ULONG *r_d, *a_d = a->d, t_d[BN_NIST_521_TOP], val, tmp, *res; |
1221 |
|
|
uintptr_t mask; |
1222 |
|
|
static const BIGNUM _bignum_nist_p_521_sqr = { |
1223 |
|
|
(BN_ULONG *)_nist_p_521_sqr, |
1224 |
|
|
sizeof(_nist_p_521_sqr) / sizeof(_nist_p_521_sqr[0]), |
1225 |
|
|
sizeof(_nist_p_521_sqr) / sizeof(_nist_p_521_sqr[0]), |
1226 |
|
|
0, |
1227 |
|
|
BN_FLG_STATIC_DATA |
1228 |
|
|
}; |
1229 |
|
|
|
1230 |
|
|
field = &_bignum_nist_p_521; /* just to make sure */ |
1231 |
|
|
|
1232 |
|
|
if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_521_sqr) >= 0) |
1233 |
|
|
return BN_nnmod(r, a, field, ctx); |
1234 |
|
|
|
1235 |
|
|
i = BN_ucmp(field, a); |
1236 |
|
|
if (i == 0) { |
1237 |
|
|
BN_zero(r); |
1238 |
|
|
return 1; |
1239 |
|
|
} else if (i > 0) |
1240 |
|
|
return (r == a) ? 1 : (BN_copy(r, a) != NULL); |
1241 |
|
|
|
1242 |
|
|
if (r != a) { |
1243 |
|
|
if (!bn_wexpand(r, BN_NIST_521_TOP)) |
1244 |
|
|
return 0; |
1245 |
|
|
r_d = r->d; |
1246 |
|
|
nist_cp_bn(r_d, a_d, BN_NIST_521_TOP); |
1247 |
|
|
} else |
1248 |
|
|
r_d = a_d; |
1249 |
|
|
|
1250 |
|
|
/* upper 521 bits, copy ... */ |
1251 |
|
|
nist_cp_bn_0(t_d, a_d + (BN_NIST_521_TOP - 1), |
1252 |
|
|
top - (BN_NIST_521_TOP - 1), BN_NIST_521_TOP); |
1253 |
|
|
/* ... and right shift */ |
1254 |
|
|
for (val = t_d[0], i = 0; i < BN_NIST_521_TOP - 1; i++) { |
1255 |
|
|
tmp = val >> BN_NIST_521_RSHIFT; |
1256 |
|
|
val = t_d[i + 1]; |
1257 |
|
|
t_d[i] = (tmp | val << BN_NIST_521_LSHIFT) & BN_MASK2; |
1258 |
|
|
} |
1259 |
|
|
t_d[i] = val >> BN_NIST_521_RSHIFT; |
1260 |
|
|
/* lower 521 bits */ |
1261 |
|
|
r_d[i] &= BN_NIST_521_TOP_MASK; |
1262 |
|
|
|
1263 |
|
|
bn_add_words(r_d, r_d, t_d, BN_NIST_521_TOP); |
1264 |
|
|
mask = 0 - (uintptr_t)bn_sub_words(t_d, r_d, _nist_p_521, |
1265 |
|
|
BN_NIST_521_TOP); |
1266 |
|
|
res = t_d; |
1267 |
|
|
res = (BN_ULONG *)(((uintptr_t)res & ~mask) | ((uintptr_t)r_d & mask)); |
1268 |
|
|
nist_cp_bn(r_d, res, BN_NIST_521_TOP); |
1269 |
|
|
r->top = BN_NIST_521_TOP; |
1270 |
|
|
bn_correct_top(r); |
1271 |
|
|
|
1272 |
|
|
return 1; |
1273 |
|
|
} |