Restoring authorship annotation for <tpashkin@yandex-team.ru>. Commit 1 of 2.

1 files changed, 668 insertions, 668 deletions

diff --git a/contrib/libs/openssl/crypto/bn/bn_local.h b/contrib/libs/openssl/crypto/bn/bn_local.h
index 8ad69ccd36..adf52da2e0 100644
--- a/contrib/libs/openssl/crypto/bn/bn_local.h
+++ b/contrib/libs/openssl/crypto/bn/bn_local.h
@@ -1,668 +1,668 @@
-/*
- * Copyright 1995-2020 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 OSSL_CRYPTO_BN_LOCAL_H
-# define OSSL_CRYPTO_BN_LOCAL_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 "crypto/bn_conf.h"
-# endif
-
-# include "crypto/bn.h"
-
-/*
- * 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
-/*
- * The new BN_FLG_FIXED_TOP flag marks vectors that were not treated with
- * bn_correct_top, in other words such vectors are permitted to have zeros
- * in most significant limbs. Such vectors are used internally to achieve
- * execution time invariance for critical operations with private keys.
- * It's BN_DEBUG-only flag, because user application is not supposed to
- * observe it anyway. Moreover, optimizing compiler would actually remove
- * all operations manipulating the bit in question in non-BN_DEBUG build.
- */
-#  define BN_FLG_FIXED_TOP 0x10000
-#  ifdef BN_DEBUG_RAND
-#   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)
-#  else
-#   define bn_pollute(a)
-#  endif
-#  define bn_check_top(a) \
-        do { \
-                const BIGNUM *_bnum2 = (a); \
-                if (_bnum2 != NULL) { \
-                        int _top = _bnum2->top; \
-                        (void)ossl_assert((_top == 0 && !_bnum2->neg) || \
-                                  (_top && ((_bnum2->flags & BN_FLG_FIXED_TOP) \
-                                            || _bnum2->d[_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_FLG_FIXED_TOP 0
-#  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,
-                                   possibly zero-padded */
-    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_consttime 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.
- * 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 (e.g.,
- * PowerPC, Alpha, and IA-64) 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:-) Note that more recent compilers do
- * support 2*64 integer type, which is also used here.
- */
-#  if defined(__SIZEOF_INT128__) && __SIZEOF_INT128__==16 && \
-      (defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG))
-#   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;      })
-#  elif 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_PPC64) && 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
-#    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
-#  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 */
-
-# 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
-/*******************************************************************
- * Using the long long type, has to be twice as wide as BN_ULONG...
- */
-#  define Lw(t)    (((BN_ULONG)(t))&BN_MASK2)
-#  define Hw(t)    (((BN_ULONG)((t)>>BN_BITS2))&BN_MASK2)
-
-#  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);
-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);
-
-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);
-}
-
-#endif
+/* 
+ * Copyright 1995-2020 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 OSSL_CRYPTO_BN_LOCAL_H 
+# define OSSL_CRYPTO_BN_LOCAL_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 "crypto/bn_conf.h" 
+# endif 
+ 
+# include "crypto/bn.h" 
+ 
+/* 
+ * 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 
+/* 
+ * The new BN_FLG_FIXED_TOP flag marks vectors that were not treated with 
+ * bn_correct_top, in other words such vectors are permitted to have zeros 
+ * in most significant limbs. Such vectors are used internally to achieve 
+ * execution time invariance for critical operations with private keys. 
+ * It's BN_DEBUG-only flag, because user application is not supposed to 
+ * observe it anyway. Moreover, optimizing compiler would actually remove 
+ * all operations manipulating the bit in question in non-BN_DEBUG build. 
+ */ 
+#  define BN_FLG_FIXED_TOP 0x10000 
+#  ifdef BN_DEBUG_RAND 
+#   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) 
+#  else 
+#   define bn_pollute(a) 
+#  endif 
+#  define bn_check_top(a) \ 
+        do { \ 
+                const BIGNUM *_bnum2 = (a); \ 
+                if (_bnum2 != NULL) { \ 
+                        int _top = _bnum2->top; \ 
+                        (void)ossl_assert((_top == 0 && !_bnum2->neg) || \ 
+                                  (_top && ((_bnum2->flags & BN_FLG_FIXED_TOP) \ 
+                                            || _bnum2->d[_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_FLG_FIXED_TOP 0 
+#  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, 
+                                   possibly zero-padded */ 
+    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_consttime 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. 
+ * 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 (e.g., 
+ * PowerPC, Alpha, and IA-64) 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:-) Note that more recent compilers do 
+ * support 2*64 integer type, which is also used here. 
+ */ 
+#  if defined(__SIZEOF_INT128__) && __SIZEOF_INT128__==16 && \ 
+      (defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG)) 
+#   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;      }) 
+#  elif 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_PPC64) && 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 
+#    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 
+#  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 */ 
+ 
+# 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 
+/******************************************************************* 
+ * Using the long long type, has to be twice as wide as BN_ULONG... 
+ */ 
+#  define Lw(t)    (((BN_ULONG)(t))&BN_MASK2) 
+#  define Hw(t)    (((BN_ULONG)((t)>>BN_BITS2))&BN_MASK2) 
+ 
+#  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); 
+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); 
+ 
+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); 
+} 
+ 
+#endif