#ifndef HEADER_BN_LCL_H #define HEADER_BN_LCL_H #include "bn.h" #ifdef __cplusplus extern "C" { #endif #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) #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 */ #if !defined(OPENSSL_NO_ASM) && !defined(OPENSSL_NO_INLINE_ASM) && !defined(PEDANTIC) /* * BN_UMULT_HIGH section. * * No, I'm not trying to overwhelm you when stating that the * product of N-bit numbers is 2*N bits wide:-) No, I don't expect * you to be impressed when I say that if the compiler doesn't * support 2*N integer type, then you have to replace every N*N * multiplication with 4 (N/2)*(N/2) accompanied by some shifts * and additions which unavoidably results in severe performance * penalties. Of course provided that the hardware is capable of * producing 2*N result... That's when you normally start * considering assembler implementation. However! It should be * pointed out that some CPUs (most notably Alpha, PowerPC and * upcoming IA-64 family:-) provide *separate* instruction * calculating the upper half of the product placing the result * into a general purpose register. Now *if* the compiler supports * inline assembler, then it's not impossible to implement the * "bignum" routines (and have the compiler optimize 'em) * exhibiting "native" performance in C. That's what BN_UMULT_HIGH * macro is about:-) * * */ # 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 # 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 # endif /* cpu */ #endif /* OPENSSL_NO_ASM */ /************************************************************* * Using the long long type */ #define Lw(t) (((BN_ULONG)(t))&BN_MASK2) #define Hw(t) (((BN_ULONG)((t)>>BN_BITS2))&BN_MASK2) #ifdef BN_DEBUG_RAND #define bn_clear_top2max(a) \ { \ int ind = (a)->dmax - (a)->top; \ BN_ULONG *ftl = &(a)->d[(a)->top-1]; \ for (; ind != 0; ind--) \ *(++ftl) = 0x0; \ } #else #define bn_clear_top2max(a) #endif #ifdef BN_LLONG #define mul_add(r,a,w,c) { \ BN_ULLONG t; \ t=(BN_ULLONG)w * (a) + (r) + (c); \ (r)= Lw(t); \ (c)= Hw(t); \ } #define mul(r,a,w,c) { \ BN_ULLONG t; \ t=(BN_ULLONG)w * (a) + (c); \ (r)= Lw(t); \ (c)= Hw(t); \ } #define sqr(r0,r1,a) { \ BN_ULLONG t; \ t=(BN_ULLONG)(a)*(a); \ (r0)=Lw(t); \ (r1)=Hw(t); \ } #elif defined(BN_UMULT_LOHI) #define mul_add(r,a,w,c) { \ BN_ULONG high,low,ret,tmp=(a); \ ret = (r); \ BN_UMULT_LOHI(low,high,w,tmp); \ ret += (c); \ (c) = (ret<(c))?1:0; \ (c) += high; \ ret += low; \ (c) += (ret>BN_BITS4)&BN_MASK2l) #define L2HBITS(a) (((a)<>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= (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_mul_normal(BN_ULONG *r,BN_ULONG *a,int na,BN_ULONG *b,int nb); void bn_mul_comba8(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b); void bn_mul_comba4(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b); void bn_sqr_normal(BN_ULONG *r, const BN_ULONG *a, int n, BN_ULONG *tmp); void bn_sqr_comba8(BN_ULONG *r,const BN_ULONG *a); void bn_sqr_comba4(BN_ULONG *r,const BN_ULONG *a); int bn_cmp_words(const BN_ULONG *a,const BN_ULONG *b,int n); int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b, int cl, int dl); void bn_mul_recursive(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,int n2, int dna,int dnb,BN_ULONG *t); void bn_mul_part_recursive(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b, int n,int tna,int tnb,BN_ULONG *t); void bn_sqr_recursive(BN_ULONG *r,const BN_ULONG *a, int n2, BN_ULONG *t); void bn_mul_low_normal(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b, int n); void bn_mul_low_recursive(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,int n2, BN_ULONG *t); void bn_mul_high(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,BN_ULONG *l,int n2, BN_ULONG *t); BN_ULONG bn_add_part_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b, int cl, int dl); BN_ULONG bn_sub_part_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b, int cl, int dl); int bn_mul_mont(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp, const BN_ULONG *np,const BN_ULONG *n0, int num); #ifdef __cplusplus } #endif #endif