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#	README.md
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Zhi Guan
2017-02-14 16:12:29 +08:00
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crypto/bn/bn_lcl.h
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@@ -1,123 +1,269 @@
/* crypto/bn/bn_lcl.h */
/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
* All rights reserved.
*
* This package is an SSL implementation written
* by Eric Young (eay@cryptsoft.com).
* The implementation was written so as to conform with Netscapes SSL.
*
* This library is free for commercial and non-commercial use as long as
* the following conditions are aheared to. The following conditions
* apply to all code found in this distribution, be it the RC4, RSA,
* lhash, DES, etc., code; not just the SSL code. The SSL documentation
* included with this distribution is covered by the same copyright terms
* except that the holder is Tim Hudson (tjh@cryptsoft.com).
*
* Copyright remains Eric Young's, and as such any Copyright notices in
* the code are not to be removed.
* If this package is used in a product, Eric Young should be given attribution
* as the author of the parts of the library used.
* This can be in the form of a textual message at program startup or
* in documentation (online or textual) provided with the package.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. All advertising materials mentioning features or use of this software
* must display the following acknowledgement:
* "This product includes cryptographic software written by
* Eric Young (eay@cryptsoft.com)"
* The word 'cryptographic' can be left out if the rouines from the library
* being used are not cryptographic related :-).
* 4. If you include any Windows specific code (or a derivative thereof) from
* the apps directory (application code) you must include an acknowledgement:
* "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
*
* THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*
* The licence and distribution terms for any publically available version or
* derivative of this code cannot be changed. i.e. this code cannot simply be
* copied and put under another distribution licence
* [including the GNU Public Licence.]
*/
/* ====================================================================
* Copyright (c) 1998-2000 The OpenSSL Project. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
*
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
*
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
*
* 3. All advertising materials mentioning features or use of this
* software must display the following acknowledgment:
* "This product includes software developed by the OpenSSL Project
* for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
*
* 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
* endorse or promote products derived from this software without
* prior written permission. For written permission, please contact
* openssl-core@openssl.org.
*
* 5. Products derived from this software may not be called "OpenSSL"
* nor may "OpenSSL" appear in their names without prior written
* permission of the OpenSSL Project.
*
* 6. Redistributions of any form whatsoever must retain the following
* acknowledgment:
* "This product includes software developed by the OpenSSL Project
* for use in the OpenSSL Toolkit (http://www.openssl.org/)"
*
* THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
* EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
* ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
* STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
* OF THE POSSIBILITY OF SUCH DAMAGE.
* ====================================================================
*
* This product includes cryptographic software written by Eric Young
* (eay@cryptsoft.com). This product includes software written by Tim
* Hudson (tjh@cryptsoft.com).
/*
* Copyright 1995-2016 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#ifndef HEADER_BN_LCL_H
# define HEADER_BN_LCL_H
# include <openssl/bn.h>
/*
* The EDK2 build doesn't use bn_conf.h; it sets THIRTY_TWO_BIT or
* SIXTY_FOUR_BIT in its own environment since it doesn't re-run our
* Configure script and needs to support both 32-bit and 64-bit.
*/
# include <openssl/opensslconf.h>
# if !defined(OPENSSL_SYS_UEFI)
# include "internal/bn_conf.h"
# endif
# include "internal/bn_int.h"
#ifdef __cplusplus
extern "C" {
#endif
/*
* These preprocessor symbols control various aspects of the bignum headers
* and library code. They're not defined by any "normal" configuration, as
* they are intended for development and testing purposes. NB: defining all
* three can be useful for debugging application code as well as openssl
* itself. BN_DEBUG - turn on various debugging alterations to the bignum
* code BN_DEBUG_RAND - uses random poisoning of unused words to trip up
* mismanagement of bignum internals. You must also define BN_DEBUG.
*/
/* #define BN_DEBUG */
/* #define BN_DEBUG_RAND */
# ifndef OPENSSL_SMALL_FOOTPRINT
# define BN_MUL_COMBA
# define BN_SQR_COMBA
# define BN_RECURSION
# endif
/*
* This next option uses the C libraries (2 word)/(1 word) function. If it is
* not defined, I use my C version (which is slower). The reason for this
* flag is that when the particular C compiler library routine is used, and
* the library is linked with a different compiler, the library is missing.
* This mostly happens when the library is built with gcc and then linked
* using normal cc. This would be a common occurrence because gcc normally
* produces code that is 2 times faster than system compilers for the big
* number stuff. For machines with only one compiler (or shared libraries),
* this should be on. Again this in only really a problem on machines using
* "long long's", are 32bit, and are not using my assembler code.
*/
# if defined(OPENSSL_SYS_MSDOS) || defined(OPENSSL_SYS_WINDOWS) || \
defined(OPENSSL_SYS_WIN32) || defined(linux)
# define BN_DIV2W
# endif
/*
* 64-bit processor with LP64 ABI
*/
# ifdef SIXTY_FOUR_BIT_LONG
# define BN_ULLONG unsigned long long
# define BN_BITS4 32
# define BN_MASK2 (0xffffffffffffffffL)
# define BN_MASK2l (0xffffffffL)
# define BN_MASK2h (0xffffffff00000000L)
# define BN_MASK2h1 (0xffffffff80000000L)
# define BN_DEC_CONV (10000000000000000000UL)
# define BN_DEC_NUM 19
# define BN_DEC_FMT1 "%lu"
# define BN_DEC_FMT2 "%019lu"
# endif
/*
* 64-bit processor other than LP64 ABI
*/
# ifdef SIXTY_FOUR_BIT
# undef BN_LLONG
# undef BN_ULLONG
# define BN_BITS4 32
# define BN_MASK2 (0xffffffffffffffffLL)
# define BN_MASK2l (0xffffffffL)
# define BN_MASK2h (0xffffffff00000000LL)
# define BN_MASK2h1 (0xffffffff80000000LL)
# define BN_DEC_CONV (10000000000000000000ULL)
# define BN_DEC_NUM 19
# define BN_DEC_FMT1 "%llu"
# define BN_DEC_FMT2 "%019llu"
# endif
# ifdef THIRTY_TWO_BIT
# ifdef BN_LLONG
# if defined(_WIN32) && !defined(__GNUC__)
# define BN_ULLONG unsigned __int64
# else
# define BN_ULLONG unsigned long long
# endif
# endif
# define BN_BITS4 16
# define BN_MASK2 (0xffffffffL)
# define BN_MASK2l (0xffff)
# define BN_MASK2h1 (0xffff8000L)
# define BN_MASK2h (0xffff0000L)
# define BN_DEC_CONV (1000000000L)
# define BN_DEC_NUM 9
# define BN_DEC_FMT1 "%u"
# define BN_DEC_FMT2 "%09u"
# endif
/*-
* Bignum consistency macros
* There is one "API" macro, bn_fix_top(), for stripping leading zeroes from
* bignum data after direct manipulations on the data. There is also an
* "internal" macro, bn_check_top(), for verifying that there are no leading
* zeroes. Unfortunately, some auditing is required due to the fact that
* bn_fix_top() has become an overabused duct-tape because bignum data is
* occasionally passed around in an inconsistent state. So the following
* changes have been made to sort this out;
* - bn_fix_top()s implementation has been moved to bn_correct_top()
* - if BN_DEBUG isn't defined, bn_fix_top() maps to bn_correct_top(), and
* bn_check_top() is as before.
* - if BN_DEBUG *is* defined;
* - bn_check_top() tries to pollute unused words even if the bignum 'top' is
* consistent. (ed: only if BN_DEBUG_RAND is defined)
* - bn_fix_top() maps to bn_check_top() rather than "fixing" anything.
* The idea is to have debug builds flag up inconsistent bignums when they
* occur. If that occurs in a bn_fix_top(), we examine the code in question; if
* the use of bn_fix_top() was appropriate (ie. it follows directly after code
* that manipulates the bignum) it is converted to bn_correct_top(), and if it
* was not appropriate, we convert it permanently to bn_check_top() and track
* down the cause of the bug. Eventually, no internal code should be using the
* bn_fix_top() macro. External applications and libraries should try this with
* their own code too, both in terms of building against the openssl headers
* with BN_DEBUG defined *and* linking with a version of OpenSSL built with it
* defined. This not only improves external code, it provides more test
* coverage for openssl's own code.
*/
# ifdef BN_DEBUG
/* We only need assert() when debugging */
# include <assert.h>
# ifdef BN_DEBUG_RAND
/* To avoid "make update" cvs wars due to BN_DEBUG, use some tricks */
# ifndef RAND_pseudo_bytes
int RAND_pseudo_bytes(unsigned char *buf, int num);
# define BN_DEBUG_TRIX
# endif
# define bn_pollute(a) \
do { \
const BIGNUM *_bnum1 = (a); \
if (_bnum1->top < _bnum1->dmax) { \
unsigned char _tmp_char; \
/* We cast away const without the compiler knowing, any \
* *genuinely* constant variables that aren't mutable \
* wouldn't be constructed with top!=dmax. */ \
BN_ULONG *_not_const; \
memcpy(&_not_const, &_bnum1->d, sizeof(_not_const)); \
RAND_bytes(&_tmp_char, 1); /* Debug only - safe to ignore error return */\
memset(_not_const + _bnum1->top, _tmp_char, \
sizeof(*_not_const) * (_bnum1->dmax - _bnum1->top)); \
} \
} while(0)
# ifdef BN_DEBUG_TRIX
# undef RAND_pseudo_bytes
# endif
# else
# define bn_pollute(a)
# endif
# define bn_check_top(a) \
do { \
const BIGNUM *_bnum2 = (a); \
if (_bnum2 != NULL) { \
assert((_bnum2->top == 0) || \
(_bnum2->d[_bnum2->top - 1] != 0)); \
bn_pollute(_bnum2); \
} \
} while(0)
# define bn_fix_top(a) bn_check_top(a)
# define bn_check_size(bn, bits) bn_wcheck_size(bn, ((bits+BN_BITS2-1))/BN_BITS2)
# define bn_wcheck_size(bn, words) \
do { \
const BIGNUM *_bnum2 = (bn); \
assert((words) <= (_bnum2)->dmax && (words) >= (_bnum2)->top); \
/* avoid unused variable warning with NDEBUG */ \
(void)(_bnum2); \
} while(0)
# else /* !BN_DEBUG */
# define bn_pollute(a)
# define bn_check_top(a)
# define bn_fix_top(a) bn_correct_top(a)
# define bn_check_size(bn, bits)
# define bn_wcheck_size(bn, words)
# endif
BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num,
BN_ULONG w);
BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w);
void bn_sqr_words(BN_ULONG *rp, const BN_ULONG *ap, int num);
BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d);
BN_ULONG bn_add_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,
int num);
BN_ULONG bn_sub_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,
int num);
struct bignum_st {
BN_ULONG *d; /* Pointer to an array of 'BN_BITS2' bit
* chunks. */
int top; /* Index of last used d +1. */
/* The next are internal book keeping for bn_expand. */
int dmax; /* Size of the d array. */
int neg; /* one if the number is negative */
int flags;
};
/* Used for montgomery multiplication */
struct bn_mont_ctx_st {
int ri; /* number of bits in R */
BIGNUM RR; /* used to convert to montgomery form */
BIGNUM N; /* The modulus */
BIGNUM Ni; /* R*(1/R mod N) - N*Ni = 1 (Ni is only
* stored for bignum algorithm) */
BN_ULONG n0[2]; /* least significant word(s) of Ni; (type
* changed with 0.9.9, was "BN_ULONG n0;"
* before) */
int flags;
};
/*
* Used for reciprocal division/mod functions It cannot be shared between
* threads
*/
struct bn_recp_ctx_st {
BIGNUM N; /* the divisor */
BIGNUM Nr; /* the reciprocal */
int num_bits;
int shift;
int flags;
};
/* Used for slow "generation" functions. */
struct bn_gencb_st {
unsigned int ver; /* To handle binary (in)compatibility */
void *arg; /* callback-specific data */
union {
/* if (ver==1) - handles old style callbacks */
void (*cb_1) (int, int, void *);
/* if (ver==2) - new callback style */
int (*cb_2) (int, int, BN_GENCB *);
} cb;
};
/*-
* BN_window_bits_for_exponent_size -- macro for sliding window mod_exp functions
*
@@ -143,23 +289,11 @@ extern "C" {
* (with draws in between). Very small exponents are often selected
* with low Hamming weight, so we use w = 1 for b <= 23.
*/
# if 1
# define BN_window_bits_for_exponent_size(b) \
# define BN_window_bits_for_exponent_size(b) \
((b) > 671 ? 6 : \
(b) > 239 ? 5 : \
(b) > 79 ? 4 : \
(b) > 23 ? 3 : 1)
# else
/*
* Old SSLeay/OpenSSL table. Maximum window size was 5, so this table differs
* for b==1024; but it coincides for other interesting values (b==160,
* b==512).
*/
# define BN_window_bits_for_exponent_size(b) \
((b) > 255 ? 5 : \
(b) > 127 ? 4 : \
(b) > 17 ? 3 : 1)
# endif
/*
* BN_mod_exp_mont_conttime is based on the assumption that the L1 data cache
@@ -294,8 +428,8 @@ unsigned __int64 _umul128(unsigned __int64 a, unsigned __int64 b,
# endif
# elif defined(__mips) && (defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG))
# if defined(__GNUC__) && __GNUC__>=2
# if __GNUC__>4 || (__GNUC__>=4 && __GNUC_MINOR__>=4)
/* "h" constraint is no more since 4.4 */
# if defined(__SIZEOF_INT128__) && __SIZEOF_INT128__==16
/* "h" constraint is not an option on R6 and was removed in 4.4 */
# define BN_UMULT_HIGH(a,b) (((__uint128_t)(a)*(b))>>64)
# define BN_UMULT_LOHI(low,high,a,b) ({ \
__uint128_t ret=(__uint128_t)(a)*(b); \
@@ -501,10 +635,10 @@ unsigned __int64 _umul128(unsigned __int64 a, unsigned __int64 b,
}
# endif /* !BN_LLONG */
# if defined(OPENSSL_DOING_MAKEDEPEND) && defined(OPENSSL_FIPS)
# undef bn_div_words
# endif
void BN_RECP_CTX_init(BN_RECP_CTX *recp);
void BN_MONT_CTX_init(BN_MONT_CTX *ctx);
void bn_init(BIGNUM *a);
void bn_mul_normal(BN_ULONG *r, BN_ULONG *a, int na, BN_ULONG *b, int nb);
void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b);
void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b);
@@ -530,6 +664,26 @@ BN_ULONG bn_sub_part_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b,
int bn_mul_mont(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,
const BN_ULONG *np, const BN_ULONG *n0, int num);
BIGNUM *int_bn_mod_inverse(BIGNUM *in,
const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx,
int *noinv);
int bn_probable_prime_dh(BIGNUM *rnd, int bits,
const BIGNUM *add, const BIGNUM *rem, BN_CTX *ctx);
int bn_probable_prime_dh_retry(BIGNUM *rnd, int bits, BN_CTX *ctx);
int bn_probable_prime_dh_coprime(BIGNUM *rnd, int bits, BN_CTX *ctx);
static ossl_inline BIGNUM *bn_expand(BIGNUM *a, int bits)
{
if (bits > (INT_MAX - BN_BITS2 + 1))
return NULL;
if (((bits+BN_BITS2-1)/BN_BITS2) <= (a)->dmax)
return a;
return bn_expand2((a),(bits+BN_BITS2-1)/BN_BITS2);
}
#ifdef __cplusplus
}
#endif