155714Skris/* crypto/bn/bn_lcl.h */
255714Skris/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
355714Skris * All rights reserved.
455714Skris *
555714Skris * This package is an SSL implementation written
655714Skris * by Eric Young (eay@cryptsoft.com).
755714Skris * The implementation was written so as to conform with Netscapes SSL.
8280297Sjkim *
955714Skris * This library is free for commercial and non-commercial use as long as
1055714Skris * the following conditions are aheared to.  The following conditions
1155714Skris * apply to all code found in this distribution, be it the RC4, RSA,
1255714Skris * lhash, DES, etc., code; not just the SSL code.  The SSL documentation
1355714Skris * included with this distribution is covered by the same copyright terms
1455714Skris * except that the holder is Tim Hudson (tjh@cryptsoft.com).
15280297Sjkim *
1655714Skris * Copyright remains Eric Young's, and as such any Copyright notices in
1755714Skris * the code are not to be removed.
1855714Skris * If this package is used in a product, Eric Young should be given attribution
1955714Skris * as the author of the parts of the library used.
2055714Skris * This can be in the form of a textual message at program startup or
2155714Skris * in documentation (online or textual) provided with the package.
22280297Sjkim *
2355714Skris * Redistribution and use in source and binary forms, with or without
2455714Skris * modification, are permitted provided that the following conditions
2555714Skris * are met:
2655714Skris * 1. Redistributions of source code must retain the copyright
2755714Skris *    notice, this list of conditions and the following disclaimer.
2855714Skris * 2. Redistributions in binary form must reproduce the above copyright
2955714Skris *    notice, this list of conditions and the following disclaimer in the
3055714Skris *    documentation and/or other materials provided with the distribution.
3155714Skris * 3. All advertising materials mentioning features or use of this software
3255714Skris *    must display the following acknowledgement:
3355714Skris *    "This product includes cryptographic software written by
3455714Skris *     Eric Young (eay@cryptsoft.com)"
3555714Skris *    The word 'cryptographic' can be left out if the rouines from the library
3655714Skris *    being used are not cryptographic related :-).
37280297Sjkim * 4. If you include any Windows specific code (or a derivative thereof) from
3855714Skris *    the apps directory (application code) you must include an acknowledgement:
3955714Skris *    "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
40280297Sjkim *
4155714Skris * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
4255714Skris * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
4355714Skris * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
4455714Skris * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
4555714Skris * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
4655714Skris * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
4755714Skris * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
4855714Skris * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
4955714Skris * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
5055714Skris * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
5155714Skris * SUCH DAMAGE.
52280297Sjkim *
5355714Skris * The licence and distribution terms for any publically available version or
5455714Skris * derivative of this code cannot be changed.  i.e. this code cannot simply be
5555714Skris * copied and put under another distribution licence
5655714Skris * [including the GNU Public Licence.]
5755714Skris */
5868651Skris/* ====================================================================
59337982Sjkim * Copyright (c) 1998-2018 The OpenSSL Project.  All rights reserved.
6068651Skris *
6168651Skris * Redistribution and use in source and binary forms, with or without
6268651Skris * modification, are permitted provided that the following conditions
6368651Skris * are met:
6468651Skris *
6568651Skris * 1. Redistributions of source code must retain the above copyright
66280297Sjkim *    notice, this list of conditions and the following disclaimer.
6768651Skris *
6868651Skris * 2. Redistributions in binary form must reproduce the above copyright
6968651Skris *    notice, this list of conditions and the following disclaimer in
7068651Skris *    the documentation and/or other materials provided with the
7168651Skris *    distribution.
7268651Skris *
7368651Skris * 3. All advertising materials mentioning features or use of this
7468651Skris *    software must display the following acknowledgment:
7568651Skris *    "This product includes software developed by the OpenSSL Project
7668651Skris *    for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
7768651Skris *
7868651Skris * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
7968651Skris *    endorse or promote products derived from this software without
8068651Skris *    prior written permission. For written permission, please contact
8168651Skris *    openssl-core@openssl.org.
8268651Skris *
8368651Skris * 5. Products derived from this software may not be called "OpenSSL"
8468651Skris *    nor may "OpenSSL" appear in their names without prior written
8568651Skris *    permission of the OpenSSL Project.
8668651Skris *
8768651Skris * 6. Redistributions of any form whatsoever must retain the following
8868651Skris *    acknowledgment:
8968651Skris *    "This product includes software developed by the OpenSSL Project
9068651Skris *    for use in the OpenSSL Toolkit (http://www.openssl.org/)"
9168651Skris *
9268651Skris * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
9368651Skris * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
9468651Skris * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
9568651Skris * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE OpenSSL PROJECT OR
9668651Skris * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
9768651Skris * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
9868651Skris * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
9968651Skris * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
10068651Skris * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
10168651Skris * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
10268651Skris * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
10368651Skris * OF THE POSSIBILITY OF SUCH DAMAGE.
10468651Skris * ====================================================================
10568651Skris *
10668651Skris * This product includes cryptographic software written by Eric Young
10768651Skris * (eay@cryptsoft.com).  This product includes software written by Tim
10868651Skris * Hudson (tjh@cryptsoft.com).
10968651Skris *
11068651Skris */
11155714Skris
11255714Skris#ifndef HEADER_BN_LCL_H
113280297Sjkim# define HEADER_BN_LCL_H
11455714Skris
115280297Sjkim# include <openssl/bn.h>
116337982Sjkim# include "bn_int.h"
11755714Skris
11855714Skris#ifdef  __cplusplus
11955714Skrisextern "C" {
12055714Skris#endif
12155714Skris
122280297Sjkim/*-
12368651Skris * BN_window_bits_for_exponent_size -- macro for sliding window mod_exp functions
12468651Skris *
12568651Skris *
12668651Skris * For window size 'w' (w >= 2) and a random 'b' bits exponent,
12768651Skris * the number of multiplications is a constant plus on average
12868651Skris *
12968651Skris *    2^(w-1) + (b-w)/(w+1);
13068651Skris *
13168651Skris * here  2^(w-1)  is for precomputing the table (we actually need
13268651Skris * entries only for windows that have the lowest bit set), and
13368651Skris * (b-w)/(w+1)  is an approximation for the expected number of
13468651Skris * w-bit windows, not counting the first one.
13568651Skris *
13668651Skris * Thus we should use
13768651Skris *
13868651Skris *    w >= 6  if        b > 671
13968651Skris *     w = 5  if  671 > b > 239
14068651Skris *     w = 4  if  239 > b >  79
14168651Skris *     w = 3  if   79 > b >  23
14268651Skris *    w <= 2  if   23 > b
14368651Skris *
14468651Skris * (with draws in between).  Very small exponents are often selected
14568651Skris * with low Hamming weight, so we use  w = 1  for b <= 23.
14668651Skris */
147280297Sjkim# if 1
148280297Sjkim#  define BN_window_bits_for_exponent_size(b) \
149280297Sjkim                ((b) > 671 ? 6 : \
150280297Sjkim                 (b) > 239 ? 5 : \
151280297Sjkim                 (b) >  79 ? 4 : \
152280297Sjkim                 (b) >  23 ? 3 : 1)
153280297Sjkim# else
154280297Sjkim/*
155280297Sjkim * Old SSLeay/OpenSSL table. Maximum window size was 5, so this table differs
156280297Sjkim * for b==1024; but it coincides for other interesting values (b==160,
157280297Sjkim * b==512).
15868651Skris */
159280297Sjkim#  define BN_window_bits_for_exponent_size(b) \
160280297Sjkim                ((b) > 255 ? 5 : \
161280297Sjkim                 (b) > 127 ? 4 : \
162280297Sjkim                 (b) >  17 ? 3 : 1)
163280297Sjkim# endif
16468651Skris
165280297Sjkim/*
166280297Sjkim * BN_mod_exp_mont_conttime is based on the assumption that the L1 data cache
167280297Sjkim * line width of the target processor is at least the following value.
168160814Ssimon */
169280297Sjkim# define MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH      ( 64 )
170280297Sjkim# define MOD_EXP_CTIME_MIN_CACHE_LINE_MASK       (MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH - 1)
171160814Ssimon
172280297Sjkim/*
173280297Sjkim * Window sizes optimized for fixed window size modular exponentiation
174280297Sjkim * algorithm (BN_mod_exp_mont_consttime). To achieve the security goals of
175280297Sjkim * BN_mode_exp_mont_consttime, the maximum size of the window must not exceed
176280297Sjkim * log_2(MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH). Window size thresholds are
177280297Sjkim * defined for cache line sizes of 32 and 64, cache line sizes where
178280297Sjkim * log_2(32)=5 and log_2(64)=6 respectively. A window size of 7 should only be
179280297Sjkim * used on processors that have a 128 byte or greater cache line size.
180160814Ssimon */
181280297Sjkim# if MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH == 64
182160814Ssimon
183160814Ssimon#  define BN_window_bits_for_ctime_exponent_size(b) \
184280297Sjkim                ((b) > 937 ? 6 : \
185280297Sjkim                 (b) > 306 ? 5 : \
186280297Sjkim                 (b) >  89 ? 4 : \
187280297Sjkim                 (b) >  22 ? 3 : 1)
188280297Sjkim#  define BN_MAX_WINDOW_BITS_FOR_CTIME_EXPONENT_SIZE    (6)
189160814Ssimon
190280297Sjkim# elif MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH == 32
191160814Ssimon
192160814Ssimon#  define BN_window_bits_for_ctime_exponent_size(b) \
193280297Sjkim                ((b) > 306 ? 5 : \
194280297Sjkim                 (b) >  89 ? 4 : \
195280297Sjkim                 (b) >  22 ? 3 : 1)
196280297Sjkim#  define BN_MAX_WINDOW_BITS_FOR_CTIME_EXPONENT_SIZE    (5)
197160814Ssimon
198280297Sjkim# endif
199160814Ssimon
20055714Skris/* Pentium pro 16,16,16,32,64 */
20155714Skris/* Alpha       16,16,16,16.64 */
202280297Sjkim# define BN_MULL_SIZE_NORMAL                     (16)/* 32 */
203280297Sjkim# define BN_MUL_RECURSIVE_SIZE_NORMAL            (16)/* 32 less than */
204280297Sjkim# define BN_SQR_RECURSIVE_SIZE_NORMAL            (16)/* 32 */
205280297Sjkim# define BN_MUL_LOW_RECURSIVE_SIZE_NORMAL        (32)/* 32 */
206280297Sjkim# define BN_MONT_CTX_SET_SIZE_WORD               (64)/* 32 */
20755714Skris
208290207Sjkim/*
209290207Sjkim * 2011-02-22 SMS. In various places, a size_t variable or a type cast to
210290207Sjkim * size_t was used to perform integer-only operations on pointers.  This
211290207Sjkim * failed on VMS with 64-bit pointers (CC /POINTER_SIZE = 64) because size_t
212290207Sjkim * is still only 32 bits.  What's needed in these cases is an integer type
213290207Sjkim * with the same size as a pointer, which size_t is not certain to be. The
214290207Sjkim * only fix here is VMS-specific.
215290207Sjkim */
216290207Sjkim# if defined(OPENSSL_SYS_VMS)
217290207Sjkim#  if __INITIAL_POINTER_SIZE == 64
218290207Sjkim#   define PTR_SIZE_INT long long
219290207Sjkim#  else                         /* __INITIAL_POINTER_SIZE == 64 */
220290207Sjkim#   define PTR_SIZE_INT int
221290207Sjkim#  endif                        /* __INITIAL_POINTER_SIZE == 64 [else] */
222290207Sjkim# elif !defined(PTR_SIZE_INT)   /* defined(OPENSSL_SYS_VMS) */
223290207Sjkim#  define PTR_SIZE_INT size_t
224290207Sjkim# endif                         /* defined(OPENSSL_SYS_VMS) [else] */
225290207Sjkim
226280297Sjkim# if !defined(OPENSSL_NO_ASM) && !defined(OPENSSL_NO_INLINE_ASM) && !defined(PEDANTIC)
22759191Skris/*
22859191Skris * BN_UMULT_HIGH section.
22959191Skris *
23059191Skris * No, I'm not trying to overwhelm you when stating that the
23159191Skris * product of N-bit numbers is 2*N bits wide:-) No, I don't expect
23259191Skris * you to be impressed when I say that if the compiler doesn't
23359191Skris * support 2*N integer type, then you have to replace every N*N
23459191Skris * multiplication with 4 (N/2)*(N/2) accompanied by some shifts
23559191Skris * and additions which unavoidably results in severe performance
23659191Skris * penalties. Of course provided that the hardware is capable of
23759191Skris * producing 2*N result... That's when you normally start
23859191Skris * considering assembler implementation. However! It should be
23959191Skris * pointed out that some CPUs (most notably Alpha, PowerPC and
24059191Skris * upcoming IA-64 family:-) provide *separate* instruction
24159191Skris * calculating the upper half of the product placing the result
24259191Skris * into a general purpose register. Now *if* the compiler supports
24359191Skris * inline assembler, then it's not impossible to implement the
24459191Skris * "bignum" routines (and have the compiler optimize 'em)
24559191Skris * exhibiting "native" performance in C. That's what BN_UMULT_HIGH
24659191Skris * macro is about:-)
24759191Skris *
248280297Sjkim *                                      <appro@fy.chalmers.se>
24959191Skris */
250280297Sjkim#  if defined(__alpha) && (defined(SIXTY_FOUR_BIT_LONG) || defined(SIXTY_FOUR_BIT))
251280297Sjkim#   if defined(__DECC)
252280297Sjkim#    include <c_asm.h>
253280297Sjkim#    define BN_UMULT_HIGH(a,b)   (BN_ULONG)asm("umulh %a0,%a1,%v0",(a),(b))
254280297Sjkim#   elif defined(__GNUC__) && __GNUC__>=2
255280297Sjkim#    define BN_UMULT_HIGH(a,b)   ({      \
256280297Sjkim        register BN_ULONG ret;          \
257280297Sjkim        asm ("umulh     %1,%2,%0"       \
258280297Sjkim             : "=r"(ret)                \
259280297Sjkim             : "r"(a), "r"(b));         \
260280297Sjkim        ret;                    })
261280297Sjkim#   endif                       /* compiler */
262280297Sjkim#  elif defined(_ARCH_PPC) && defined(__64BIT__) && defined(SIXTY_FOUR_BIT_LONG)
263280297Sjkim#   if defined(__GNUC__) && __GNUC__>=2
264280297Sjkim#    define BN_UMULT_HIGH(a,b)   ({      \
265280297Sjkim        register BN_ULONG ret;          \
266280297Sjkim        asm ("mulhdu    %0,%1,%2"       \
267280297Sjkim             : "=r"(ret)                \
268280297Sjkim             : "r"(a), "r"(b));         \
269280297Sjkim        ret;                    })
270280297Sjkim#   endif                       /* compiler */
271280297Sjkim#  elif (defined(__x86_64) || defined(__x86_64__)) && \
272238405Sjkim       (defined(SIXTY_FOUR_BIT_LONG) || defined(SIXTY_FOUR_BIT))
273280297Sjkim#   if defined(__GNUC__) && __GNUC__>=2
274280297Sjkim#    define BN_UMULT_HIGH(a,b)   ({      \
275280297Sjkim        register BN_ULONG ret,discard;  \
276280297Sjkim        asm ("mulq      %3"             \
277280297Sjkim             : "=a"(discard),"=d"(ret)  \
278280297Sjkim             : "a"(a), "g"(b)           \
279280297Sjkim             : "cc");                   \
280280297Sjkim        ret;                    })
281280297Sjkim#    define BN_UMULT_LOHI(low,high,a,b)  \
282280297Sjkim        asm ("mulq      %3"             \
283280297Sjkim                : "=a"(low),"=d"(high)  \
284280297Sjkim                : "a"(a),"g"(b)         \
285280297Sjkim                : "cc");
286280297Sjkim#   endif
287280297Sjkim#  elif (defined(_M_AMD64) || defined(_M_X64)) && defined(SIXTY_FOUR_BIT)
288280297Sjkim#   if defined(_MSC_VER) && _MSC_VER>=1400
289280297Sjkimunsigned __int64 __umulh(unsigned __int64 a, unsigned __int64 b);
290280297Sjkimunsigned __int64 _umul128(unsigned __int64 a, unsigned __int64 b,
291280297Sjkim                          unsigned __int64 *h);
292280297Sjkim#    pragma intrinsic(__umulh,_umul128)
293280297Sjkim#    define BN_UMULT_HIGH(a,b)           __umulh((a),(b))
294280297Sjkim#    define BN_UMULT_LOHI(low,high,a,b)  ((low)=_umul128((a),(b),&(high)))
295280297Sjkim#   endif
296280297Sjkim#  elif defined(__mips) && (defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG))
297280297Sjkim#   if defined(__GNUC__) && __GNUC__>=2
298284283Sjkim#    if __GNUC__>4 || (__GNUC__>=4 && __GNUC_MINOR__>=4)
299280297Sjkim                                     /* "h" constraint is no more since 4.4 */
300280297Sjkim#     define BN_UMULT_HIGH(a,b)          (((__uint128_t)(a)*(b))>>64)
301280297Sjkim#     define BN_UMULT_LOHI(low,high,a,b) ({     \
302280297Sjkim        __uint128_t ret=(__uint128_t)(a)*(b);   \
303280297Sjkim        (high)=ret>>64; (low)=ret;       })
304280297Sjkim#    else
305280297Sjkim#     define BN_UMULT_HIGH(a,b) ({      \
306280297Sjkim        register BN_ULONG ret;          \
307280297Sjkim        asm ("dmultu    %1,%2"          \
308280297Sjkim             : "=h"(ret)                \
309280297Sjkim             : "r"(a), "r"(b) : "l");   \
310280297Sjkim        ret;                    })
311246772Sjkim#     define BN_UMULT_LOHI(low,high,a,b)\
312280297Sjkim        asm ("dmultu    %2,%3"          \
313280297Sjkim             : "=l"(low),"=h"(high)     \
314280297Sjkim             : "r"(a), "r"(b));
315246772Sjkim#    endif
316280297Sjkim#   endif
317290207Sjkim#  elif defined(__aarch64__) && defined(SIXTY_FOUR_BIT_LONG)
318290207Sjkim#   if defined(__GNUC__) && __GNUC__>=2
319290207Sjkim#    define BN_UMULT_HIGH(a,b)   ({      \
320290207Sjkim        register BN_ULONG ret;          \
321290207Sjkim        asm ("umulh     %0,%1,%2"       \
322290207Sjkim             : "=r"(ret)                \
323290207Sjkim             : "r"(a), "r"(b));         \
324290207Sjkim        ret;                    })
325290207Sjkim#   endif
326280297Sjkim#  endif                        /* cpu */
327280297Sjkim# endif                         /* OPENSSL_NO_ASM */
32855714Skris
32955714Skris/*************************************************************
33055714Skris * Using the long long type
33155714Skris */
332280297Sjkim# define Lw(t)    (((BN_ULONG)(t))&BN_MASK2)
333280297Sjkim# define Hw(t)    (((BN_ULONG)((t)>>BN_BITS2))&BN_MASK2)
33455714Skris
335280297Sjkim# ifdef BN_DEBUG_RAND
336280297Sjkim#  define bn_clear_top2max(a) \
337280297Sjkim        { \
338280297Sjkim        int      ind = (a)->dmax - (a)->top; \
339280297Sjkim        BN_ULONG *ftl = &(a)->d[(a)->top-1]; \
340280297Sjkim        for (; ind != 0; ind--) \
341280297Sjkim                *(++ftl) = 0x0; \
342280297Sjkim        }
343280297Sjkim# else
344280297Sjkim#  define bn_clear_top2max(a)
345280297Sjkim# endif
34655714Skris
347280297Sjkim# ifdef BN_LLONG
348280297Sjkim#  define mul_add(r,a,w,c) { \
349280297Sjkim        BN_ULLONG t; \
350280297Sjkim        t=(BN_ULLONG)w * (a) + (r) + (c); \
351280297Sjkim        (r)= Lw(t); \
352280297Sjkim        (c)= Hw(t); \
353280297Sjkim        }
35455714Skris
355280297Sjkim#  define mul(r,a,w,c) { \
356280297Sjkim        BN_ULLONG t; \
357280297Sjkim        t=(BN_ULLONG)w * (a) + (c); \
358280297Sjkim        (r)= Lw(t); \
359280297Sjkim        (c)= Hw(t); \
360280297Sjkim        }
36155714Skris
362280297Sjkim#  define sqr(r0,r1,a) { \
363280297Sjkim        BN_ULLONG t; \
364280297Sjkim        t=(BN_ULLONG)(a)*(a); \
365280297Sjkim        (r0)=Lw(t); \
366280297Sjkim        (r1)=Hw(t); \
367280297Sjkim        }
36859191Skris
369280297Sjkim# elif defined(BN_UMULT_LOHI)
370280297Sjkim#  define mul_add(r,a,w,c) {              \
371280297Sjkim        BN_ULONG high,low,ret,tmp=(a);  \
372280297Sjkim        ret =  (r);                     \
373280297Sjkim        BN_UMULT_LOHI(low,high,w,tmp);  \
374280297Sjkim        ret += (c);                     \
375280297Sjkim        (c) =  (ret<(c))?1:0;           \
376280297Sjkim        (c) += high;                    \
377280297Sjkim        ret += low;                     \
378280297Sjkim        (c) += (ret<low)?1:0;           \
379280297Sjkim        (r) =  ret;                     \
380280297Sjkim        }
381160814Ssimon
382280297Sjkim#  define mul(r,a,w,c)    {               \
383280297Sjkim        BN_ULONG high,low,ret,ta=(a);   \
384280297Sjkim        BN_UMULT_LOHI(low,high,w,ta);   \
385280297Sjkim        ret =  low + (c);               \
386280297Sjkim        (c) =  high;                    \
387280297Sjkim        (c) += (ret<low)?1:0;           \
388280297Sjkim        (r) =  ret;                     \
389280297Sjkim        }
390160814Ssimon
391280297Sjkim#  define sqr(r0,r1,a)    {               \
392280297Sjkim        BN_ULONG tmp=(a);               \
393280297Sjkim        BN_UMULT_LOHI(r0,r1,tmp,tmp);   \
394280297Sjkim        }
395160814Ssimon
396280297Sjkim# elif defined(BN_UMULT_HIGH)
397280297Sjkim#  define mul_add(r,a,w,c) {              \
398280297Sjkim        BN_ULONG high,low,ret,tmp=(a);  \
399280297Sjkim        ret =  (r);                     \
400280297Sjkim        high=  BN_UMULT_HIGH(w,tmp);    \
401280297Sjkim        ret += (c);                     \
402280297Sjkim        low =  (w) * tmp;               \
403280297Sjkim        (c) =  (ret<(c))?1:0;           \
404280297Sjkim        (c) += high;                    \
405280297Sjkim        ret += low;                     \
406280297Sjkim        (c) += (ret<low)?1:0;           \
407280297Sjkim        (r) =  ret;                     \
408280297Sjkim        }
40959191Skris
410280297Sjkim#  define mul(r,a,w,c)    {               \
411280297Sjkim        BN_ULONG high,low,ret,ta=(a);   \
412280297Sjkim        low =  (w) * ta;                \
413280297Sjkim        high=  BN_UMULT_HIGH(w,ta);     \
414280297Sjkim        ret =  low + (c);               \
415280297Sjkim        (c) =  high;                    \
416280297Sjkim        (c) += (ret<low)?1:0;           \
417280297Sjkim        (r) =  ret;                     \
418280297Sjkim        }
41959191Skris
420280297Sjkim#  define sqr(r0,r1,a)    {               \
421280297Sjkim        BN_ULONG tmp=(a);               \
422280297Sjkim        (r0) = tmp * tmp;               \
423280297Sjkim        (r1) = BN_UMULT_HIGH(tmp,tmp);  \
424280297Sjkim        }
42559191Skris
426280297Sjkim# else
42755714Skris/*************************************************************
42855714Skris * No long long type
42955714Skris */
43055714Skris
431280297Sjkim#  define LBITS(a)        ((a)&BN_MASK2l)
432280297Sjkim#  define HBITS(a)        (((a)>>BN_BITS4)&BN_MASK2l)
433280297Sjkim#  define L2HBITS(a)      (((a)<<BN_BITS4)&BN_MASK2)
43455714Skris
435280297Sjkim#  define LLBITS(a)       ((a)&BN_MASKl)
436280297Sjkim#  define LHBITS(a)       (((a)>>BN_BITS2)&BN_MASKl)
437280297Sjkim#  define LL2HBITS(a)     ((BN_ULLONG)((a)&BN_MASKl)<<BN_BITS2)
43855714Skris
439280297Sjkim#  define mul64(l,h,bl,bh) \
440280297Sjkim        { \
441280297Sjkim        BN_ULONG m,m1,lt,ht; \
44255714Skris \
443280297Sjkim        lt=l; \
444280297Sjkim        ht=h; \
445280297Sjkim        m =(bh)*(lt); \
446280297Sjkim        lt=(bl)*(lt); \
447280297Sjkim        m1=(bl)*(ht); \
448280297Sjkim        ht =(bh)*(ht); \
449280297Sjkim        m=(m+m1)&BN_MASK2; if (m < m1) ht+=L2HBITS((BN_ULONG)1); \
450280297Sjkim        ht+=HBITS(m); \
451280297Sjkim        m1=L2HBITS(m); \
452280297Sjkim        lt=(lt+m1)&BN_MASK2; if (lt < m1) ht++; \
453280297Sjkim        (l)=lt; \
454280297Sjkim        (h)=ht; \
455280297Sjkim        }
45655714Skris
457280297Sjkim#  define sqr64(lo,ho,in) \
458280297Sjkim        { \
459280297Sjkim        BN_ULONG l,h,m; \
46055714Skris \
461280297Sjkim        h=(in); \
462280297Sjkim        l=LBITS(h); \
463280297Sjkim        h=HBITS(h); \
464280297Sjkim        m =(l)*(h); \
465280297Sjkim        l*=l; \
466280297Sjkim        h*=h; \
467280297Sjkim        h+=(m&BN_MASK2h1)>>(BN_BITS4-1); \
468280297Sjkim        m =(m&BN_MASK2l)<<(BN_BITS4+1); \
469280297Sjkim        l=(l+m)&BN_MASK2; if (l < m) h++; \
470280297Sjkim        (lo)=l; \
471280297Sjkim        (ho)=h; \
472280297Sjkim        }
47355714Skris
474280297Sjkim#  define mul_add(r,a,bl,bh,c) { \
475280297Sjkim        BN_ULONG l,h; \
47655714Skris \
477280297Sjkim        h= (a); \
478280297Sjkim        l=LBITS(h); \
479280297Sjkim        h=HBITS(h); \
480280297Sjkim        mul64(l,h,(bl),(bh)); \
48155714Skris \
482280297Sjkim        /* non-multiply part */ \
483280297Sjkim        l=(l+(c))&BN_MASK2; if (l < (c)) h++; \
484280297Sjkim        (c)=(r); \
485280297Sjkim        l=(l+(c))&BN_MASK2; if (l < (c)) h++; \
486280297Sjkim        (c)=h&BN_MASK2; \
487280297Sjkim        (r)=l; \
488280297Sjkim        }
48955714Skris
490280297Sjkim#  define mul(r,a,bl,bh,c) { \
491280297Sjkim        BN_ULONG l,h; \
49255714Skris \
493280297Sjkim        h= (a); \
494280297Sjkim        l=LBITS(h); \
495280297Sjkim        h=HBITS(h); \
496280297Sjkim        mul64(l,h,(bl),(bh)); \
49755714Skris \
498280297Sjkim        /* non-multiply part */ \
499280297Sjkim        l+=(c); if ((l&BN_MASK2) < (c)) h++; \
500280297Sjkim        (c)=h&BN_MASK2; \
501280297Sjkim        (r)=l&BN_MASK2; \
502280297Sjkim        }
503280297Sjkim# endif                         /* !BN_LLONG */
50455714Skris
505280297Sjkim# if defined(OPENSSL_DOING_MAKEDEPEND) && defined(OPENSSL_FIPS)
506280297Sjkim#  undef bn_div_words
507280297Sjkim# endif
508238405Sjkim
509280297Sjkimvoid bn_mul_normal(BN_ULONG *r, BN_ULONG *a, int na, BN_ULONG *b, int nb);
510280297Sjkimvoid bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b);
511280297Sjkimvoid bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b);
512109998Smarkmvoid bn_sqr_normal(BN_ULONG *r, const BN_ULONG *a, int n, BN_ULONG *tmp);
513280297Sjkimvoid bn_sqr_comba8(BN_ULONG *r, const BN_ULONG *a);
514280297Sjkimvoid bn_sqr_comba4(BN_ULONG *r, const BN_ULONG *a);
515280297Sjkimint bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n);
516280297Sjkimint bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b, int cl, int dl);
517280297Sjkimvoid bn_mul_recursive(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n2,
518280297Sjkim                      int dna, int dnb, BN_ULONG *t);
519280297Sjkimvoid bn_mul_part_recursive(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b,
520280297Sjkim                           int n, int tna, int tnb, BN_ULONG *t);
521280297Sjkimvoid bn_sqr_recursive(BN_ULONG *r, const BN_ULONG *a, int n2, BN_ULONG *t);
522280297Sjkimvoid bn_mul_low_normal(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n);
523280297Sjkimvoid bn_mul_low_recursive(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n2,
524280297Sjkim                          BN_ULONG *t);
525280297Sjkimvoid bn_mul_high(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, BN_ULONG *l, int n2,
526280297Sjkim                 BN_ULONG *t);
527160814SsimonBN_ULONG bn_add_part_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b,
528280297Sjkim                           int cl, int dl);
529160814SsimonBN_ULONG bn_sub_part_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b,
530280297Sjkim                           int cl, int dl);
531280297Sjkimint bn_mul_mont(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,
532280297Sjkim                const BN_ULONG *np, const BN_ULONG *n0, int num);
53355714Skris
53455714Skris#ifdef  __cplusplus
53555714Skris}
53655714Skris#endif
53755714Skris
53855714Skris#endif
539