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openssl/crypto/bn/bn_lcl.h
Matt Caswell 99ba9fd02f Fix BN_hex2bn/BN_dec2bn NULL ptr/heap corruption 
In the BN_hex2bn function the number of hex digits is calculated using
an int value |i|. Later |bn_expand| is called with a value of |i * 4|.
For large values of |i| this can result in |bn_expand| not allocating any
memory because |i * 4| is negative. This leaves ret->d as NULL leading
to a subsequent NULL ptr deref. For very large values of |i|, the
calculation |i * 4| could be a positive value smaller than |i|. In this
case memory is allocated to ret->d, but it is insufficiently sized
leading to heap corruption. A similar issue exists in BN_dec2bn.

This could have security consequences if BN_hex2bn/BN_dec2bn is ever
called by user applications with very large untrusted hex/dec data. This is
anticipated to be a rare occurrence.

All OpenSSL internal usage of this function uses data that is not expected
to be untrusted, e.g. config file data or application command line
arguments. If user developed applications generate config file data based
on untrusted data then it is possible that this could also lead to security
consequences. This is also anticipated to be a rare.

Issue reported by Guido Vranken.

CVE-2016-0797

Reviewed-by: Andy Polyakov <appro@openssl.org>
2016-02-29 16:32:18 +00:00

792 lines
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/* 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).
*
*/
#ifndef HEADER_BN_LCL_H
# define HEADER_BN_LCL_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
*
*
* For window size 'w' (w >= 2) and a random 'b' bits exponent,
* the number of multiplications is a constant plus on average
*
* 2^(w-1) + (b-w)/(w+1);
*
* here 2^(w-1) is for precomputing the table (we actually need
* entries only for windows that have the lowest bit set), and
* (b-w)/(w+1) is an approximation for the expected number of
* w-bit windows, not counting the first one.
*
* Thus we should use
*
* w >= 6 if b > 671
* w = 5 if 671 > b > 239
* w = 4 if 239 > b > 79
* w = 3 if 79 > b > 23
* w <= 2 if 23 > b
*
* (with draws in between). Very small exponents are often selected
* with low Hamming weight, so we use w = 1 for b <= 23.
*/
# define BN_window_bits_for_exponent_size(b) \
((b) > 671 ? 6 : \
(b) > 239 ? 5 : \
(b) > 79 ? 4 : \
(b) > 23 ? 3 : 1)
/*
* BN_mod_exp_mont_conttime is based on the assumption that the L1 data cache
* line width of the target processor is at least the following value.
*/
# define MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH ( 64 )
# define MOD_EXP_CTIME_MIN_CACHE_LINE_MASK (MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH - 1)
/*
* Window sizes optimized for fixed window size modular exponentiation
* algorithm (BN_mod_exp_mont_consttime). To achieve the security goals of
* BN_mode_exp_mont_consttime, the maximum size of the window must not exceed
* log_2(MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH). Window size thresholds are
* defined for cache line sizes of 32 and 64, cache line sizes where
* log_2(32)=5 and log_2(64)=6 respectively. A window size of 7 should only be
* used on processors that have a 128 byte or greater cache line size.
*/
# if MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH == 64
# define BN_window_bits_for_ctime_exponent_size(b) \
((b) > 937 ? 6 : \
(b) > 306 ? 5 : \
(b) > 89 ? 4 : \
(b) > 22 ? 3 : 1)
# define BN_MAX_WINDOW_BITS_FOR_CTIME_EXPONENT_SIZE (6)
# elif MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH == 32
# define BN_window_bits_for_ctime_exponent_size(b) \
((b) > 306 ? 5 : \
(b) > 89 ? 4 : \
(b) > 22 ? 3 : 1)
# define BN_MAX_WINDOW_BITS_FOR_CTIME_EXPONENT_SIZE (5)
# endif
/* Pentium pro 16,16,16,32,64 */
/* Alpha 16,16,16,16.64 */
# define BN_MULL_SIZE_NORMAL (16)/* 32 */
# define BN_MUL_RECURSIVE_SIZE_NORMAL (16)/* 32 less than */
# define BN_SQR_RECURSIVE_SIZE_NORMAL (16)/* 32 */
# define BN_MUL_LOW_RECURSIVE_SIZE_NORMAL (32)/* 32 */
# define BN_MONT_CTX_SET_SIZE_WORD (64)/* 32 */
/*
* 2011-02-22 SMS. In various places, a size_t variable or a type cast to
* size_t was used to perform integer-only operations on pointers. This
* failed on VMS with 64-bit pointers (CC /POINTER_SIZE = 64) because size_t
* is still only 32 bits. What's needed in these cases is an integer type
* with the same size as a pointer, which size_t is not certain to be. The
* only fix here is VMS-specific.
*/
# if defined(OPENSSL_SYS_VMS)
# if __INITIAL_POINTER_SIZE == 64
# define PTR_SIZE_INT long long
# else /* __INITIAL_POINTER_SIZE == 64 */
# define PTR_SIZE_INT int
# endif /* __INITIAL_POINTER_SIZE == 64 [else] */
# elif !defined(PTR_SIZE_INT) /* defined(OPENSSL_SYS_VMS) */
# define PTR_SIZE_INT size_t
# endif /* defined(OPENSSL_SYS_VMS) [else] */
# if !defined(OPENSSL_NO_ASM) && !defined(OPENSSL_NO_INLINE_ASM) && !defined(PEDANTIC)
/*
* BN_UMULT_HIGH section.
*
* No, I'm not trying to overwhelm you when stating that the
* product of N-bit numbers is 2*N bits wide:-) No, I don't expect
* you to be impressed when I say that if the compiler doesn't
* support 2*N integer type, then you have to replace every N*N
* multiplication with 4 (N/2)*(N/2) accompanied by some shifts
* and additions which unavoidably results in severe performance
* penalties. Of course provided that the hardware is capable of
* producing 2*N result... That's when you normally start
* considering assembler implementation. However! It should be
* pointed out that some CPUs (most notably Alpha, PowerPC and
* upcoming IA-64 family:-) provide *separate* instruction
* calculating the upper half of the product placing the result
* into a general purpose register. Now *if* the compiler supports
* inline assembler, then it's not impossible to implement the
* "bignum" routines (and have the compiler optimize 'em)
* exhibiting "native" performance in C. That's what BN_UMULT_HIGH
* macro is about:-)
*
* <appro@fy.chalmers.se>
*/
# if defined(__alpha) && (defined(SIXTY_FOUR_BIT_LONG) || defined(SIXTY_FOUR_BIT))
# if defined(__DECC)
# include <c_asm.h>
# define BN_UMULT_HIGH(a,b) (BN_ULONG)asm("umulh %a0,%a1,%v0",(a),(b))
# elif defined(__GNUC__) && __GNUC__>=2
# define BN_UMULT_HIGH(a,b) ({ \
register BN_ULONG ret; \
asm ("umulh %1,%2,%0" \
: "=r"(ret) \
: "r"(a), "r"(b)); \
ret; })
# endif /* compiler */
# elif defined(_ARCH_PPC) && defined(__64BIT__) && defined(SIXTY_FOUR_BIT_LONG)
# if defined(__GNUC__) && __GNUC__>=2
# define BN_UMULT_HIGH(a,b) ({ \
register BN_ULONG ret; \
asm ("mulhdu %0,%1,%2" \
: "=r"(ret) \
: "r"(a), "r"(b)); \
ret; })
# endif /* compiler */
# elif (defined(__x86_64) || defined(__x86_64__)) && \
(defined(SIXTY_FOUR_BIT_LONG) || defined(SIXTY_FOUR_BIT))
# if defined(__GNUC__) && __GNUC__>=2
# define BN_UMULT_HIGH(a,b) ({ \
register BN_ULONG ret,discard; \
asm ("mulq %3" \
: "=a"(discard),"=d"(ret) \
: "a"(a), "g"(b) \
: "cc"); \
ret; })
# define BN_UMULT_LOHI(low,high,a,b) \
asm ("mulq %3" \
: "=a"(low),"=d"(high) \
: "a"(a),"g"(b) \
: "cc");
# endif
# elif (defined(_M_AMD64) || defined(_M_X64)) && defined(SIXTY_FOUR_BIT)
# if defined(_MSC_VER) && _MSC_VER>=1400
unsigned __int64 __umulh(unsigned __int64 a, unsigned __int64 b);
unsigned __int64 _umul128(unsigned __int64 a, unsigned __int64 b,
unsigned __int64 *h);
# pragma intrinsic(__umulh,_umul128)
# define BN_UMULT_HIGH(a,b) __umulh((a),(b))
# define BN_UMULT_LOHI(low,high,a,b) ((low)=_umul128((a),(b),&(high)))
# 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 */
# 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); \
(high)=ret>>64; (low)=ret; })
# else
# define BN_UMULT_HIGH(a,b) ({ \
register BN_ULONG ret; \
asm ("dmultu %1,%2" \
: "=h"(ret) \
: "r"(a), "r"(b) : "l"); \
ret; })
# define BN_UMULT_LOHI(low,high,a,b)\
asm ("dmultu %2,%3" \
: "=l"(low),"=h"(high) \
: "r"(a), "r"(b));
# endif
# endif
# elif defined(__aarch64__) && defined(SIXTY_FOUR_BIT_LONG)
# if defined(__GNUC__) && __GNUC__>=2
# define BN_UMULT_HIGH(a,b) ({ \
register BN_ULONG ret; \
asm ("umulh %0,%1,%2" \
: "=r"(ret) \
: "r"(a), "r"(b)); \
ret; })
# endif
# endif /* cpu */
# endif /* OPENSSL_NO_ASM */
/*************************************************************
* Using the long long type
*/
# define Lw(t) (((BN_ULONG)(t))&BN_MASK2)
# define Hw(t) (((BN_ULONG)((t)>>BN_BITS2))&BN_MASK2)
# ifdef BN_DEBUG_RAND
# define bn_clear_top2max(a) \
{ \
int ind = (a)->dmax - (a)->top; \
BN_ULONG *ftl = &(a)->d[(a)->top-1]; \
for (; ind != 0; ind--) \
*(++ftl) = 0x0; \
}
# else
# define bn_clear_top2max(a)
# endif
# ifdef BN_LLONG
# define mul_add(r,a,w,c) { \
BN_ULLONG t; \
t=(BN_ULLONG)w * (a) + (r) + (c); \
(r)= Lw(t); \
(c)= Hw(t); \
}
# define mul(r,a,w,c) { \
BN_ULLONG t; \
t=(BN_ULLONG)w * (a) + (c); \
(r)= Lw(t); \
(c)= Hw(t); \
}
# define sqr(r0,r1,a) { \
BN_ULLONG t; \
t=(BN_ULLONG)(a)*(a); \
(r0)=Lw(t); \
(r1)=Hw(t); \
}
# elif defined(BN_UMULT_LOHI)
# define mul_add(r,a,w,c) { \
BN_ULONG high,low,ret,tmp=(a); \
ret = (r); \
BN_UMULT_LOHI(low,high,w,tmp); \
ret += (c); \
(c) = (ret<(c))?1:0; \
(c) += high; \
ret += low; \
(c) += (ret<low)?1:0; \
(r) = ret; \
}
# define mul(r,a,w,c) { \
BN_ULONG high,low,ret,ta=(a); \
BN_UMULT_LOHI(low,high,w,ta); \
ret = low + (c); \
(c) = high; \
(c) += (ret<low)?1:0; \
(r) = ret; \
}
# define sqr(r0,r1,a) { \
BN_ULONG tmp=(a); \
BN_UMULT_LOHI(r0,r1,tmp,tmp); \
}
# elif defined(BN_UMULT_HIGH)
# define mul_add(r,a,w,c) { \
BN_ULONG high,low,ret,tmp=(a); \
ret = (r); \
high= BN_UMULT_HIGH(w,tmp); \
ret += (c); \
low = (w) * tmp; \
(c) = (ret<(c))?1:0; \
(c) += high; \
ret += low; \
(c) += (ret<low)?1:0; \
(r) = ret; \
}
# define mul(r,a,w,c) { \
BN_ULONG high,low,ret,ta=(a); \
low = (w) * ta; \
high= BN_UMULT_HIGH(w,ta); \
ret = low + (c); \
(c) = high; \
(c) += (ret<low)?1:0; \
(r) = ret; \
}
# define sqr(r0,r1,a) { \
BN_ULONG tmp=(a); \
(r0) = tmp * tmp; \
(r1) = BN_UMULT_HIGH(tmp,tmp); \
}
# else
/*************************************************************
* No long long type
*/
# define LBITS(a) ((a)&BN_MASK2l)
# define HBITS(a) (((a)>>BN_BITS4)&BN_MASK2l)
# define L2HBITS(a) (((a)<<BN_BITS4)&BN_MASK2)
# define LLBITS(a) ((a)&BN_MASKl)
# define LHBITS(a) (((a)>>BN_BITS2)&BN_MASKl)
# define LL2HBITS(a) ((BN_ULLONG)((a)&BN_MASKl)<<BN_BITS2)
# define mul64(l,h,bl,bh) \
{ \
BN_ULONG m,m1,lt,ht; \
\
lt=l; \
ht=h; \
m =(bh)*(lt); \
lt=(bl)*(lt); \
m1=(bl)*(ht); \
ht =(bh)*(ht); \
m=(m+m1)&BN_MASK2; if (m < m1) ht+=L2HBITS((BN_ULONG)1); \
ht+=HBITS(m); \
m1=L2HBITS(m); \
lt=(lt+m1)&BN_MASK2; if (lt < m1) ht++; \
(l)=lt; \
(h)=ht; \
}
# define sqr64(lo,ho,in) \
{ \
BN_ULONG l,h,m; \
\
h=(in); \
l=LBITS(h); \
h=HBITS(h); \
m =(l)*(h); \
l*=l; \
h*=h; \
h+=(m&BN_MASK2h1)>>(BN_BITS4-1); \
m =(m&BN_MASK2l)<<(BN_BITS4+1); \
l=(l+m)&BN_MASK2; if (l < m) h++; \
(lo)=l; \
(ho)=h; \
}
# define mul_add(r,a,bl,bh,c) { \
BN_ULONG l,h; \
\
h= (a); \
l=LBITS(h); \
h=HBITS(h); \
mul64(l,h,(bl),(bh)); \
\
/* non-multiply part */ \
l=(l+(c))&BN_MASK2; if (l < (c)) h++; \
(c)=(r); \
l=(l+(c))&BN_MASK2; if (l < (c)) h++; \
(c)=h&BN_MASK2; \
(r)=l; \
}
# define mul(r,a,bl,bh,c) { \
BN_ULONG l,h; \
\
h= (a); \
l=LBITS(h); \
h=HBITS(h); \
mul64(l,h,(bl),(bh)); \
\
/* non-multiply part */ \
l+=(c); if ((l&BN_MASK2) < (c)) h++; \
(c)=h&BN_MASK2; \
(r)=l&BN_MASK2; \
}
# endif /* !BN_LLONG */
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);
void bn_sqr_normal(BN_ULONG *r, const BN_ULONG *a, int n, BN_ULONG *tmp);
void bn_sqr_comba8(BN_ULONG *r, const BN_ULONG *a);
void bn_sqr_comba4(BN_ULONG *r, const BN_ULONG *a);
int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n);
int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b, int cl, int dl);
void bn_mul_recursive(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n2,
int dna, int dnb, BN_ULONG *t);
void bn_mul_part_recursive(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b,
int n, int tna, int tnb, BN_ULONG *t);
void bn_sqr_recursive(BN_ULONG *r, const BN_ULONG *a, int n2, BN_ULONG *t);
void bn_mul_low_normal(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n);
void bn_mul_low_recursive(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n2,
BN_ULONG *t);
void bn_mul_high(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, BN_ULONG *l, int n2,
BN_ULONG *t);
BN_ULONG bn_add_part_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b,
int cl, int dl);
BN_ULONG bn_sub_part_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b,
int cl, int dl);
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
#endif
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