X-Git-Url: https://git.openssl.org/?p=openssl.git;a=blobdiff_plain;f=crypto%2Fbn%2Fbn_lcl.h;h=1bdaee8e8f96c4007348089702b5b8417196bc92;hp=1c680fc3ce2f867f12adaf7f44a6886d7ad24b4a;hb=dc193c9c5e914c74fd0f51fe4fe86fbd5910536e;hpb=46a643763de6d8e39ecf6f76fa79b4d04885aa59 diff --git a/crypto/bn/bn_lcl.h b/crypto/bn/bn_lcl.h index 1c680fc3ce..1bdaee8e8f 100644 --- a/crypto/bn/bn_lcl.h +++ b/crypto/bn/bn_lcl.h @@ -5,21 +5,21 @@ * This package is an SSL implementation written * by Eric Young (eay@cryptsoft.com). * The implementation was written so as to conform with Netscapes SSL. - * + * * This library is free for commercial and non-commercial use as long as * the following conditions are aheared to. The following conditions * apply to all code found in this distribution, be it the RC4, RSA, * lhash, DES, etc., code; not just the SSL code. The SSL documentation * included with this distribution is covered by the same copyright terms * except that the holder is Tim Hudson (tjh@cryptsoft.com). - * + * * Copyright remains Eric Young's, and as such any Copyright notices in * the code are not to be removed. * If this package is used in a product, Eric Young should be given attribution * as the author of the parts of the library used. * This can be in the form of a textual message at program startup or * in documentation (online or textual) provided with the package. - * + * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: @@ -34,10 +34,10 @@ * Eric Young (eay@cryptsoft.com)" * The word 'cryptographic' can be left out if the rouines from the library * being used are not cryptographic related :-). - * 4. If you include any Windows specific code (or a derivative thereof) from + * 4. If you include any Windows specific code (or a derivative thereof) from * the apps directory (application code) you must include an acknowledgement: * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)" - * + * * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE @@ -49,7 +49,7 @@ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF * SUCH DAMAGE. - * + * * The licence and distribution terms for any publically available version or * derivative of this code cannot be changed. i.e. this code cannot simply be * copied and put under another distribution licence @@ -63,7 +63,7 @@ * are met: * * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. + * notice, this list of conditions and the following disclaimer. * * 2. Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in @@ -110,16 +110,165 @@ */ #ifndef HEADER_BN_LCL_H -#define HEADER_BN_LCL_H +# define HEADER_BN_LCL_H -#include +# include "internal/bn_conf.h" +# include "internal/bn_int.h" #ifdef __cplusplus extern "C" { #endif +/*- + * Bignum consistency macros + * There is one "API" macro, bn_fix_top(), for stripping leading zeroes from + * bignum data after direct manipulations on the data. There is also an + * "internal" macro, bn_check_top(), for verifying that there are no leading + * zeroes. Unfortunately, some auditing is required due to the fact that + * bn_fix_top() has become an overabused duct-tape because bignum data is + * occasionally passed around in an inconsistent state. So the following + * changes have been made to sort this out; + * - bn_fix_top()s implementation has been moved to bn_correct_top() + * - if BN_DEBUG isn't defined, bn_fix_top() maps to bn_correct_top(), and + * bn_check_top() is as before. + * - if BN_DEBUG *is* defined; + * - bn_check_top() tries to pollute unused words even if the bignum 'top' is + * consistent. (ed: only if BN_DEBUG_RAND is defined) + * - bn_fix_top() maps to bn_check_top() rather than "fixing" anything. + * The idea is to have debug builds flag up inconsistent bignums when they + * occur. If that occurs in a bn_fix_top(), we examine the code in question; if + * the use of bn_fix_top() was appropriate (ie. it follows directly after code + * that manipulates the bignum) it is converted to bn_correct_top(), and if it + * was not appropriate, we convert it permanently to bn_check_top() and track + * down the cause of the bug. Eventually, no internal code should be using the + * bn_fix_top() macro. External applications and libraries should try this with + * their own code too, both in terms of building against the openssl headers + * with BN_DEBUG defined *and* linking with a version of OpenSSL built with it + * defined. This not only improves external code, it provides more test + * coverage for openssl's own code. + */ + +# ifdef BN_DEBUG + +/* We only need assert() when debugging */ +# include + +# ifdef BN_DEBUG_RAND +/* To avoid "make update" cvs wars due to BN_DEBUG, use some tricks */ +# ifndef RAND_pseudo_bytes +int RAND_pseudo_bytes(unsigned char *buf, int num); +# define BN_DEBUG_TRIX +# endif +# define bn_pollute(a) \ + do { \ + const BIGNUM *_bnum1 = (a); \ + if(_bnum1->top < _bnum1->dmax) { \ + unsigned char _tmp_char; \ + /* We cast away const without the compiler knowing, any \ + * *genuinely* constant variables that aren't mutable \ + * wouldn't be constructed with top!=dmax. */ \ + BN_ULONG *_not_const; \ + memcpy(&_not_const, &_bnum1->d, sizeof(_not_const)); \ + RAND_bytes(&_tmp_char, 1); /* Debug only - safe to ignore error return */\ + memset(_not_const + _bnum1->top, _tmp_char, \ + sizeof(*_not_const) * (_bnum1->dmax - _bnum1->top)); \ + } \ + } while(0) +# ifdef BN_DEBUG_TRIX +# undef RAND_pseudo_bytes +# endif +# else +# define bn_pollute(a) +# endif +# define bn_check_top(a) \ + do { \ + const BIGNUM *_bnum2 = (a); \ + if (_bnum2 != NULL) { \ + assert((_bnum2->top == 0) || \ + (_bnum2->d[_bnum2->top - 1] != 0)); \ + bn_pollute(_bnum2); \ + } \ + } while(0) + +# define bn_fix_top(a) bn_check_top(a) + +# define bn_check_size(bn, bits) bn_wcheck_size(bn, ((bits+BN_BITS2-1))/BN_BITS2) +# define bn_wcheck_size(bn, words) \ + do { \ + const BIGNUM *_bnum2 = (bn); \ + assert((words) <= (_bnum2)->dmax && (words) >= (_bnum2)->top); \ + /* avoid unused variable warning with NDEBUG */ \ + (void)(_bnum2); \ + } while(0) + +# else /* !BN_DEBUG */ + +# define bn_pollute(a) +# define bn_check_top(a) +# define bn_fix_top(a) bn_correct_top(a) +# define bn_check_size(bn, bits) +# define bn_wcheck_size(bn, words) + +# endif + +BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, + BN_ULONG w); +BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w); +void bn_sqr_words(BN_ULONG *rp, const BN_ULONG *ap, int num); +BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d); +BN_ULONG bn_add_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp, + int num); +BN_ULONG bn_sub_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp, + int num); + +struct bignum_st { + BN_ULONG *d; /* Pointer to an array of 'BN_BITS2' bit + * chunks. */ + int top; /* Index of last used d +1. */ + /* The next are internal book keeping for bn_expand. */ + int dmax; /* Size of the d array. */ + int neg; /* one if the number is negative */ + int flags; +}; + +/* Used for montgomery multiplication */ +struct bn_mont_ctx_st { + int ri; /* number of bits in R */ + BIGNUM RR; /* used to convert to montgomery form */ + BIGNUM N; /* The modulus */ + BIGNUM Ni; /* R*(1/R mod N) - N*Ni = 1 (Ni is only + * stored for bignum algorithm) */ + BN_ULONG n0[2]; /* least significant word(s) of Ni; (type + * changed with 0.9.9, was "BN_ULONG n0;" + * before) */ + int flags; +}; /* + * Used for reciprocal division/mod functions It cannot be shared between + * threads + */ +struct bn_recp_ctx_st { + BIGNUM N; /* the divisor */ + BIGNUM Nr; /* the reciprocal */ + int num_bits; + int shift; + int flags; +}; + +/* Used for slow "generation" functions. */ +struct bn_gencb_st { + unsigned int ver; /* To handle binary (in)compatibility */ + void *arg; /* callback-specific data */ + union { + /* if(ver==1) - handles old style callbacks */ + void (*cb_1) (int, int, void *); + /* if(ver==2) - new callback style */ + int (*cb_2) (int, int, BN_GENCB *); + } cb; +}; + +/*- * BN_window_bits_for_exponent_size -- macro for sliding window mod_exp functions * * @@ -144,73 +293,74 @@ extern "C" { * (with draws in between). Very small exponents are often selected * with low Hamming weight, so we use w = 1 for b <= 23. */ -#if 1 -#define BN_window_bits_for_exponent_size(b) \ - ((b) > 671 ? 6 : \ - (b) > 239 ? 5 : \ - (b) > 79 ? 4 : \ - (b) > 23 ? 3 : 1) -#else -/* Old SSLeay/OpenSSL table. - * Maximum window size was 5, so this table differs for b==1024; - * but it coincides for other interesting values (b==160, b==512). - */ -#define BN_window_bits_for_exponent_size(b) \ - ((b) > 255 ? 5 : \ - (b) > 127 ? 4 : \ - (b) > 17 ? 3 : 1) -#endif - +# define BN_window_bits_for_exponent_size(b) \ + ((b) > 671 ? 6 : \ + (b) > 239 ? 5 : \ + (b) > 79 ? 4 : \ + (b) > 23 ? 3 : 1) - -/* BN_mod_exp_mont_conttime is based on the assumption that the - * L1 data cache line width of the target processor is at least - * the following value. +/* + * BN_mod_exp_mont_conttime is based on the assumption that the L1 data cache + * line width of the target processor is at least the following value. */ -#define MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH ( 64 ) -#define MOD_EXP_CTIME_MIN_CACHE_LINE_MASK (MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH - 1) +# 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. +/* + * 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 +# 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) + ((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 +# 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 + ((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 */ +# 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 */ -#if !defined(OPENSSL_NO_ASM) && !defined(OPENSSL_NO_INLINE_ASM) && !defined(PEDANTIC) +/* + * 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. * @@ -232,219 +382,300 @@ extern "C" { * exhibiting "native" performance in C. That's what BN_UMULT_HIGH * macro is about:-) * - * + * */ -# if defined(__alpha) && (defined(SIXTY_FOUR_BIT_LONG) || defined(SIXTY_FOUR_BIT)) -# if defined(__DECC) -# include -# define BN_UMULT_HIGH(a,b) (BN_ULONG)asm("umulh %a0,%a1,%v0",(a),(b)) -# elif defined(__GNUC__) -# define BN_UMULT_HIGH(a,b) ({ \ - register BN_ULONG ret; \ - asm ("umulh %1,%2,%0" \ - : "=r"(ret) \ - : "r"(a), "r"(b)); \ - ret; }) -# endif /* compiler */ -# elif defined(_ARCH_PPC) && defined(__64BIT__) && defined(SIXTY_FOUR_BIT_LONG) -# if defined(__GNUC__) -# 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(SIXTY_FOUR_BIT_LONG) -# if defined(__GNUC__) -# 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 -# endif /* cpu */ -#endif /* OPENSSL_NO_ASM */ +# if defined(__alpha) && (defined(SIXTY_FOUR_BIT_LONG) || defined(SIXTY_FOUR_BIT)) +# if defined(__DECC) +# include +# define BN_UMULT_HIGH(a,b) (BN_ULONG)asm("umulh %a0,%a1,%v0",(a),(b)) +# elif defined(__GNUC__) && __GNUC__>=2 +# define BN_UMULT_HIGH(a,b) ({ \ + register BN_ULONG ret; \ + asm ("umulh %1,%2,%0" \ + : "=r"(ret) \ + : "r"(a), "r"(b)); \ + ret; }) +# endif /* compiler */ +# elif defined(_ARCH_PPC) && defined(__64BIT__) && defined(SIXTY_FOUR_BIT_LONG) +# if defined(__GNUC__) && __GNUC__>=2 +# define BN_UMULT_HIGH(a,b) ({ \ + register BN_ULONG ret; \ + asm ("mulhdu %0,%1,%2" \ + : "=r"(ret) \ + : "r"(a), "r"(b)); \ + ret; }) +# endif /* compiler */ +# elif (defined(__x86_64) || defined(__x86_64__)) && \ + (defined(SIXTY_FOUR_BIT_LONG) || defined(SIXTY_FOUR_BIT)) +# if defined(__GNUC__) && __GNUC__>=2 +# define BN_UMULT_HIGH(a,b) ({ \ + register BN_ULONG ret,discard; \ + asm ("mulq %3" \ + : "=a"(discard),"=d"(ret) \ + : "a"(a), "g"(b) \ + : "cc"); \ + ret; }) +# define BN_UMULT_LOHI(low,high,a,b) \ + asm ("mulq %3" \ + : "=a"(low),"=d"(high) \ + : "a"(a),"g"(b) \ + : "cc"); +# endif +# elif (defined(_M_AMD64) || defined(_M_X64)) && defined(SIXTY_FOUR_BIT) +# if defined(_MSC_VER) && _MSC_VER>=1400 +unsigned __int64 __umulh(unsigned __int64 a, unsigned __int64 b); +unsigned __int64 _umul128(unsigned __int64 a, unsigned __int64 b, + unsigned __int64 *h); +# pragma intrinsic(__umulh,_umul128) +# define BN_UMULT_HIGH(a,b) __umulh((a),(b)) +# define BN_UMULT_LOHI(low,high,a,b) ((low)=_umul128((a),(b),&(high))) +# endif +# elif defined(__mips) && (defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG)) +# if defined(__GNUC__) && __GNUC__>=2 +# if __GNUC__>4 || (__GNUC__>=4 && __GNUC_MINOR__>=4) + /* "h" constraint is no more since 4.4 */ +# define BN_UMULT_HIGH(a,b) (((__uint128_t)(a)*(b))>>64) +# define BN_UMULT_LOHI(low,high,a,b) ({ \ + __uint128_t ret=(__uint128_t)(a)*(b); \ + (high)=ret>>64; (low)=ret; }) +# else +# define BN_UMULT_HIGH(a,b) ({ \ + register BN_ULONG ret; \ + asm ("dmultu %1,%2" \ + : "=h"(ret) \ + : "r"(a), "r"(b) : "l"); \ + ret; }) +# define BN_UMULT_LOHI(low,high,a,b)\ + asm ("dmultu %2,%3" \ + : "=l"(low),"=h"(high) \ + : "r"(a), "r"(b)); +# endif +# endif +# elif defined(__aarch64__) && defined(SIXTY_FOUR_BIT_LONG) +# if defined(__GNUC__) && __GNUC__>=2 +# define BN_UMULT_HIGH(a,b) ({ \ + register BN_ULONG ret; \ + asm ("umulh %0,%1,%2" \ + : "=r"(ret) \ + : "r"(a), "r"(b)); \ + ret; }) +# endif +# endif /* cpu */ +# endif /* OPENSSL_NO_ASM */ /************************************************************* * Using the long long type */ -#define Lw(t) (((BN_ULONG)(t))&BN_MASK2) -#define Hw(t) (((BN_ULONG)((t)>>BN_BITS2))&BN_MASK2) - -#ifdef BN_DEBUG_RAND -#define bn_clear_top2max(a) \ - { \ - int ind = (a)->dmax - (a)->top; \ - BN_ULONG *ftl = &(a)->d[(a)->top-1]; \ - for (; ind != 0; ind--) \ - *(++ftl) = 0x0; \ - } -#else -#define bn_clear_top2max(a) -#endif - -#ifdef BN_LLONG -#define mul_add(r,a,w,c) { \ - BN_ULLONG t; \ - t=(BN_ULLONG)w * (a) + (r) + (c); \ - (r)= Lw(t); \ - (c)= Hw(t); \ - } - -#define mul(r,a,w,c) { \ - BN_ULLONG t; \ - t=(BN_ULLONG)w * (a) + (c); \ - (r)= Lw(t); \ - (c)= Hw(t); \ - } - -#define sqr(r0,r1,a) { \ - BN_ULLONG t; \ - t=(BN_ULLONG)(a)*(a); \ - (r0)=Lw(t); \ - (r1)=Hw(t); \ - } - -#elif defined(BN_UMULT_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>BN_BITS2))&BN_MASK2) + +# ifdef BN_DEBUG_RAND +# define bn_clear_top2max(a) \ + { \ + int ind = (a)->dmax - (a)->top; \ + BN_ULONG *ftl = &(a)->d[(a)->top-1]; \ + for (; ind != 0; ind--) \ + *(++ftl) = 0x0; \ + } +# else +# define bn_clear_top2max(a) +# endif + +# ifdef BN_LLONG +# define mul_add(r,a,w,c) { \ + BN_ULLONG t; \ + t=(BN_ULLONG)w * (a) + (r) + (c); \ + (r)= Lw(t); \ + (c)= Hw(t); \ + } + +# define mul(r,a,w,c) { \ + BN_ULLONG t; \ + t=(BN_ULLONG)w * (a) + (c); \ + (r)= Lw(t); \ + (c)= Hw(t); \ + } + +# define sqr(r0,r1,a) { \ + BN_ULLONG t; \ + t=(BN_ULLONG)(a)*(a); \ + (r0)=Lw(t); \ + (r1)=Hw(t); \ + } + +# elif defined(BN_UMULT_LOHI) +# define mul_add(r,a,w,c) { \ + BN_ULONG high,low,ret,tmp=(a); \ + ret = (r); \ + BN_UMULT_LOHI(low,high,w,tmp); \ + ret += (c); \ + (c) = (ret<(c))?1:0; \ + (c) += high; \ + ret += low; \ + (c) += (ret>BN_BITS4)&BN_MASK2l) -#define L2HBITS(a) (((a)<>BN_BITS4)&BN_MASK2l) +# define L2HBITS(a) (((a)<>BN_BITS2)&BN_MASKl) -#define LL2HBITS(a) ((BN_ULLONG)((a)&BN_MASKl)<>BN_BITS2)&BN_MASKl) +# define LL2HBITS(a) ((BN_ULLONG)((a)&BN_MASKl)<>(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=(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)); \ + 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; \ + /* 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)); \ + 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_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); + /* non-multiply part */ \ + l+=(c); if ((l&BN_MASK2) < (c)) h++; \ + (c)=h&BN_MASK2; \ + (r)=l&BN_MASK2; \ + } +# endif /* !BN_LLONG */ + +void BN_RECP_CTX_init(BN_RECP_CTX *recp); +void BN_MONT_CTX_init(BN_MONT_CTX *ctx); + +void bn_init(BIGNUM *a); +void bn_mul_normal(BN_ULONG *r, BN_ULONG *a, int na, BN_ULONG *b, int nb); +void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b); +void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b); void bn_sqr_normal(BN_ULONG *r, const BN_ULONG *a, int n, BN_ULONG *tmp); -void bn_sqr_comba8(BN_ULONG *r,const BN_ULONG *a); -void bn_sqr_comba4(BN_ULONG *r,const BN_ULONG *a); -int bn_cmp_words(const BN_ULONG *a,const BN_ULONG *b,int n); -int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b, - int cl, int dl); -void bn_mul_recursive(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,int n2, - int dna,int dnb,BN_ULONG *t); -void bn_mul_part_recursive(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b, - int n,int tna,int tnb,BN_ULONG *t); -void bn_sqr_recursive(BN_ULONG *r,const BN_ULONG *a, int n2, BN_ULONG *t); -void bn_mul_low_normal(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b, int n); -void bn_mul_low_recursive(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,int n2, - BN_ULONG *t); -void bn_mul_high(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,BN_ULONG *l,int n2, - BN_ULONG *t); +void bn_sqr_comba8(BN_ULONG *r, const BN_ULONG *a); +void bn_sqr_comba4(BN_ULONG *r, const BN_ULONG *a); +int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n); +int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b, int cl, int dl); +void bn_mul_recursive(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n2, + int dna, int dnb, BN_ULONG *t); +void bn_mul_part_recursive(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, + int n, int tna, int tnb, BN_ULONG *t); +void bn_sqr_recursive(BN_ULONG *r, const BN_ULONG *a, int n2, BN_ULONG *t); +void bn_mul_low_normal(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n); +void bn_mul_low_recursive(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n2, + BN_ULONG *t); +void bn_mul_high(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, BN_ULONG *l, int n2, + BN_ULONG *t); BN_ULONG bn_add_part_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b, - int cl, int dl); + int cl, int dl); BN_ULONG bn_sub_part_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b, - int cl, int dl); + int cl, int dl); +int bn_mul_mont(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp, + const BN_ULONG *np, const BN_ULONG *n0, int num); + +BIGNUM *int_bn_mod_inverse(BIGNUM *in, + const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx, + int *noinv); + +int bn_probable_prime_dh(BIGNUM *rnd, int bits, + const BIGNUM *add, const BIGNUM *rem, BN_CTX *ctx); +int bn_probable_prime_dh_retry(BIGNUM *rnd, int bits, BN_CTX *ctx); +int bn_probable_prime_dh_coprime(BIGNUM *rnd, int bits, BN_CTX *ctx); #ifdef __cplusplus }