607f9807e5
Normal shifts do the trick just fine and are less likely to tempt the compiler into inserting a jump. Change-Id: Iaa1da1b6f986fd447694fcde8f3525efb9eeaf11 Reviewed-on: https://boringssl-review.googlesource.com/22888 Reviewed-by: Adam Langley <agl@google.com>
304 lines
13 KiB
C
304 lines
13 KiB
C
/* Copyright (C) 1995-1997 Eric Young (eay@cryptsoft.com)
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* All rights reserved.
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*
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* This package is an SSL implementation written
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* by Eric Young (eay@cryptsoft.com).
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* The implementation was written so as to conform with Netscapes SSL.
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*
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* This library is free for commercial and non-commercial use as long as
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* the following conditions are aheared to. The following conditions
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* apply to all code found in this distribution, be it the RC4, RSA,
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* lhash, DES, etc., code; not just the SSL code. The SSL documentation
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* included with this distribution is covered by the same copyright terms
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* except that the holder is Tim Hudson (tjh@cryptsoft.com).
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*
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* Copyright remains Eric Young's, and as such any Copyright notices in
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* the code are not to be removed.
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* If this package is used in a product, Eric Young should be given attribution
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* as the author of the parts of the library used.
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* This can be in the form of a textual message at program startup or
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* in documentation (online or textual) provided with the package.
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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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* 1. Redistributions of source code must retain the copyright
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* notice, this list of conditions and the following disclaimer.
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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 the
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* documentation and/or other materials provided with the distribution.
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* 3. All advertising materials mentioning features or use of this software
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* must display the following acknowledgement:
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* "This product includes cryptographic software written by
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* Eric Young (eay@cryptsoft.com)"
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* The word 'cryptographic' can be left out if the rouines from the library
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* being used are not cryptographic related :-).
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* 4. If you include any Windows specific code (or a derivative thereof) from
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* the apps directory (application code) you must include an acknowledgement:
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* "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
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*
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* THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
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* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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* ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
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* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
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* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
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* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
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* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
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* SUCH DAMAGE.
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*
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* The licence and distribution terms for any publically available version or
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* derivative of this code cannot be changed. i.e. this code cannot simply be
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* copied and put under another distribution licence
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* [including the GNU Public Licence.]
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*/
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/* ====================================================================
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* Copyright (c) 1998-2006 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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/* ====================================================================
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* Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
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*
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* Portions of the attached software ("Contribution") are developed by
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* SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
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*
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* The Contribution is licensed pursuant to the Eric Young open source
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* license provided above.
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*
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* The binary polynomial arithmetic software is originally written by
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* Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems
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* Laboratories. */
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#ifndef OPENSSL_HEADER_BN_INTERNAL_H
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#define OPENSSL_HEADER_BN_INTERNAL_H
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#include <openssl/base.h>
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#if defined(OPENSSL_X86_64) && defined(_MSC_VER)
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OPENSSL_MSVC_PRAGMA(warning(push, 3))
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#include <intrin.h>
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OPENSSL_MSVC_PRAGMA(warning(pop))
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#pragma intrinsic(__umulh, _umul128)
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#endif
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#include "../../internal.h"
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#if defined(__cplusplus)
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extern "C" {
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#endif
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#if defined(OPENSSL_64_BIT)
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#if !defined(_MSC_VER)
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// MSVC doesn't support two-word integers on 64-bit.
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#define BN_ULLONG uint128_t
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#endif
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#define BN_BITS2 64
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#define BN_BYTES 8
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#define BN_BITS4 32
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#define BN_MASK2 (0xffffffffffffffffUL)
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#define BN_MASK2l (0xffffffffUL)
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#define BN_MASK2h (0xffffffff00000000UL)
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#define BN_MASK2h1 (0xffffffff80000000UL)
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#define BN_MONT_CTX_N0_LIMBS 1
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#define BN_DEC_CONV (10000000000000000000UL)
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#define BN_DEC_NUM 19
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#define TOBN(hi, lo) ((BN_ULONG)(hi) << 32 | (lo))
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#elif defined(OPENSSL_32_BIT)
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#define BN_ULLONG uint64_t
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#define BN_BITS2 32
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#define BN_BYTES 4
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#define BN_BITS4 16
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#define BN_MASK2 (0xffffffffUL)
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#define BN_MASK2l (0xffffUL)
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#define BN_MASK2h1 (0xffff8000UL)
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#define BN_MASK2h (0xffff0000UL)
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// On some 32-bit platforms, Montgomery multiplication is done using 64-bit
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// arithmetic with SIMD instructions. On such platforms, |BN_MONT_CTX::n0|
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// needs to be two words long. Only certain 32-bit platforms actually make use
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// of n0[1] and shorter R value would suffice for the others. However,
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// currently only the assembly files know which is which.
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#define BN_MONT_CTX_N0_LIMBS 2
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#define BN_DEC_CONV (1000000000UL)
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#define BN_DEC_NUM 9
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#define TOBN(hi, lo) (lo), (hi)
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#else
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#error "Must define either OPENSSL_32_BIT or OPENSSL_64_BIT"
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#endif
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#define STATIC_BIGNUM(x) \
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{ \
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(BN_ULONG *)(x), sizeof(x) / sizeof(BN_ULONG), \
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sizeof(x) / sizeof(BN_ULONG), 0, BN_FLG_STATIC_DATA \
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}
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#if defined(BN_ULLONG)
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#define Lw(t) ((BN_ULONG)(t))
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#define Hw(t) ((BN_ULONG)((t) >> BN_BITS2))
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#endif
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// bn_correct_top decrements |bn->top| until |bn->d[top-1]| is non-zero or
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// until |top| is zero. If |bn| is zero, |bn->neg| is set to zero.
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void bn_correct_top(BIGNUM *bn);
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// bn_wexpand ensures that |bn| has at least |words| works of space without
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// altering its value. It returns one on success or zero on allocation
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// failure.
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int bn_wexpand(BIGNUM *bn, size_t words);
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// bn_expand acts the same as |bn_wexpand|, but takes a number of bits rather
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// than a number of words.
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int bn_expand(BIGNUM *bn, size_t bits);
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// bn_set_words sets |bn| to the value encoded in the |num| words in |words|,
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// least significant word first.
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int bn_set_words(BIGNUM *bn, const BN_ULONG *words, size_t num);
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// bn_mul_add_words multiples |ap| by |w|, adds the result to |rp|, and places
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// the result in |rp|. |ap| and |rp| must both be |num| words long. It returns
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// the carry word of the operation. |ap| and |rp| may be equal but otherwise may
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// not alias.
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BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num,
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BN_ULONG w);
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// bn_mul_words multiples |ap| by |w| and places the result in |rp|. |ap| and
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// |rp| must both be |num| words long. It returns the carry word of the
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// operation. |ap| and |rp| may be equal but otherwise may not alias.
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BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w);
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// bn_sqr_words sets |rp[2*i]| and |rp[2*i+1]| to |ap[i]|'s square, for all |i|
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// up to |num|. |ap| is an array of |num| words and |rp| an array of |2*num|
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// words. |ap| and |rp| may not alias.
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//
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// This gives the contribution of the |ap[i]*ap[i]| terms when squaring |ap|.
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void bn_sqr_words(BN_ULONG *rp, const BN_ULONG *ap, int num);
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// bn_add_words adds |ap| to |bp| and places the result in |rp|, each of which
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// are |num| words long. It returns the carry bit, which is one if the operation
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// overflowed and zero otherwise. Any pair of |ap|, |bp|, and |rp| may be equal
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// to each other but otherwise may not alias.
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BN_ULONG bn_add_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,
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int num);
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// bn_sub_words subtracts |bp| from |ap| and places the result in |rp|. It
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// returns the borrow bit, which is one if the computation underflowed and zero
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// otherwise. Any pair of |ap|, |bp|, and |rp| may be equal to each other but
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// otherwise may not alias.
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BN_ULONG bn_sub_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,
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int num);
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// bn_mul_comba4 sets |r| to the product of |a| and |b|.
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void bn_mul_comba4(BN_ULONG r[8], BN_ULONG a[4], BN_ULONG b[4]);
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// bn_mul_comba8 sets |r| to the product of |a| and |b|.
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void bn_mul_comba8(BN_ULONG r[16], BN_ULONG a[8], BN_ULONG b[8]);
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// bn_sqr_comba8 sets |r| to |a|^2.
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void bn_sqr_comba8(BN_ULONG r[16], const BN_ULONG a[4]);
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// bn_sqr_comba4 sets |r| to |a|^2.
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void bn_sqr_comba4(BN_ULONG r[8], const BN_ULONG a[4]);
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// bn_cmp_words returns a value less than, equal to or greater than zero if
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// the, length |n|, array |a| is less than, equal to or greater than |b|.
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int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n);
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// bn_cmp_words returns a value less than, equal to or greater than zero if the
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// array |a| is less than, equal to or greater than |b|. The arrays can be of
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// different lengths: |cl| gives the minimum of the two lengths and |dl| gives
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// the length of |a| minus the length of |b|.
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int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b, int cl, int dl);
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int bn_mul_mont(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,
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const BN_ULONG *np, const BN_ULONG *n0, int num);
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uint64_t bn_mont_n0(const BIGNUM *n);
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int bn_mod_exp_base_2_vartime(BIGNUM *r, unsigned p, const BIGNUM *n);
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#if defined(OPENSSL_X86_64) && defined(_MSC_VER)
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#define BN_UMULT_LOHI(low, high, a, b) ((low) = _umul128((a), (b), &(high)))
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#endif
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#if !defined(BN_ULLONG) && !defined(BN_UMULT_LOHI)
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#error "Either BN_ULLONG or BN_UMULT_LOHI must be defined on every platform."
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#endif
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// bn_mod_inverse_prime sets |out| to the modular inverse of |a| modulo |p|,
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// computed with Fermat's Little Theorem. It returns one on success and zero on
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// error. If |mont_p| is NULL, one will be computed temporarily.
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int bn_mod_inverse_prime(BIGNUM *out, const BIGNUM *a, const BIGNUM *p,
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BN_CTX *ctx, const BN_MONT_CTX *mont_p);
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// bn_mod_inverse_secret_prime behaves like |bn_mod_inverse_prime| but uses
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// |BN_mod_exp_mont_consttime| instead of |BN_mod_exp_mont| in hopes of
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// protecting the exponent.
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int bn_mod_inverse_secret_prime(BIGNUM *out, const BIGNUM *a, const BIGNUM *p,
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BN_CTX *ctx, const BN_MONT_CTX *mont_p);
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// bn_jacobi returns the Jacobi symbol of |a| and |b| (which is -1, 0 or 1), or
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// -2 on error.
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int bn_jacobi(const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
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#if defined(__cplusplus)
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} // extern C
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#endif
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#endif // OPENSSL_HEADER_BN_INTERNAL_H
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