/*

 * 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

        (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

        (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

        (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

        (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)<

#  define LLBITS(a)       ((a)&BN_MASKl)

#  define LHBITS(a)       (((a)>>BN_BITS2)&BN_MASKl)

#  define LL2HBITS(a)     ((BN_ULLONG)((a)&BN_MASKl)<

#  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