320 lines
8.3 KiB
C
Executable File
320 lines
8.3 KiB
C
Executable File
#ifndef HEADER_BN_LCL_H
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#define HEADER_BN_LCL_H
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#include "bn.h"
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#ifdef __cplusplus
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extern "C" {
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#endif
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#define MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH ( 64 )
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#define MOD_EXP_CTIME_MIN_CACHE_LINE_MASK (MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH - 1)
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#if MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH == 64
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# define BN_window_bits_for_ctime_exponent_size(b) \
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((b) > 937 ? 6 : \
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(b) > 306 ? 5 : \
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(b) > 89 ? 4 : \
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(b) > 22 ? 3 : 1)
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# define BN_MAX_WINDOW_BITS_FOR_CTIME_EXPONENT_SIZE (6)
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#elif MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH == 32
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# define BN_window_bits_for_ctime_exponent_size(b) \
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((b) > 306 ? 5 : \
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(b) > 89 ? 4 : \
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(b) > 22 ? 3 : 1)
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# define BN_MAX_WINDOW_BITS_FOR_CTIME_EXPONENT_SIZE (5)
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#endif
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/* Pentium pro 16,16,16,32,64 */
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/* Alpha 16,16,16,16.64 */
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#define BN_MULL_SIZE_NORMAL (16) /* 32 */
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#define BN_MUL_RECURSIVE_SIZE_NORMAL (16) /* 32 less than */
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#define BN_SQR_RECURSIVE_SIZE_NORMAL (16) /* 32 */
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#define BN_MUL_LOW_RECURSIVE_SIZE_NORMAL (32) /* 32 */
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#define BN_MONT_CTX_SET_SIZE_WORD (64) /* 32 */
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#if !defined(OPENSSL_NO_ASM) && !defined(OPENSSL_NO_INLINE_ASM) && !defined(PEDANTIC)
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/*
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* BN_UMULT_HIGH section.
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*
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* No, I'm not trying to overwhelm you when stating that the
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* product of N-bit numbers is 2*N bits wide:-) No, I don't expect
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* you to be impressed when I say that if the compiler doesn't
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* support 2*N integer type, then you have to replace every N*N
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* multiplication with 4 (N/2)*(N/2) accompanied by some shifts
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* and additions which unavoidably results in severe performance
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* penalties. Of course provided that the hardware is capable of
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* producing 2*N result... That's when you normally start
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* considering assembler implementation. However! It should be
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* pointed out that some CPUs (most notably Alpha, PowerPC and
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* upcoming IA-64 family:-) provide *separate* instruction
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* calculating the upper half of the product placing the result
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* into a general purpose register. Now *if* the compiler supports
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* inline assembler, then it's not impossible to implement the
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* "bignum" routines (and have the compiler optimize 'em)
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* exhibiting "native" performance in C. That's what BN_UMULT_HIGH
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* macro is about:-)
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*
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* <appro@fy.chalmers.se>
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*/
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# if defined(__alpha) && (defined(SIXTY_FOUR_BIT_LONG) || defined(SIXTY_FOUR_BIT))
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# if defined(__DECC)
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# include <c_asm.h>
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# define BN_UMULT_HIGH(a,b) (BN_ULONG)asm("umulh %a0,%a1,%v0",(a),(b))
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# elif defined(__GNUC__)
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# define BN_UMULT_HIGH(a,b) ({ \
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register BN_ULONG ret; \
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asm ("umulh %1,%2,%0" \
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: "=r"(ret) \
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: "r"(a), "r"(b)); \
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ret; })
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# endif /* compiler */
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# elif defined(_ARCH_PPC) && defined(__64BIT__) && defined(SIXTY_FOUR_BIT_LONG)
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# if defined(__GNUC__)
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# define BN_UMULT_HIGH(a,b) ({ \
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register BN_ULONG ret; \
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asm ("mulhdu %0,%1,%2" \
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: "=r"(ret) \
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: "r"(a), "r"(b)); \
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ret; })
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# endif /* compiler */
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# elif defined(__x86_64) && defined(SIXTY_FOUR_BIT_LONG)
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# if defined(__GNUC__)
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# define BN_UMULT_HIGH(a,b) ({ \
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register BN_ULONG ret,discard; \
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asm ("mulq %3" \
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: "=a"(discard),"=d"(ret) \
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: "a"(a), "g"(b) \
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: "cc"); \
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ret; })
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# define BN_UMULT_LOHI(low,high,a,b) \
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asm ("mulq %3" \
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: "=a"(low),"=d"(high) \
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: "a"(a),"g"(b) \
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: "cc");
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# endif
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# elif (defined(_M_AMD64) || defined(_M_X64)) && defined(SIXTY_FOUR_BIT)
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# if defined(_MSC_VER) && _MSC_VER>=1400
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unsigned __int64 __umulh (unsigned __int64 a,unsigned __int64 b);
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unsigned __int64 _umul128 (unsigned __int64 a,unsigned __int64 b,
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unsigned __int64 *h);
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# pragma intrinsic(__umulh,_umul128)
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# define BN_UMULT_HIGH(a,b) __umulh((a),(b))
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# define BN_UMULT_LOHI(low,high,a,b) ((low)=_umul128((a),(b),&(high)))
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# endif
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# endif /* cpu */
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#endif /* OPENSSL_NO_ASM */
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/*************************************************************
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* Using the long long type
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*/
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#define Lw(t) (((BN_ULONG)(t))&BN_MASK2)
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#define Hw(t) (((BN_ULONG)((t)>>BN_BITS2))&BN_MASK2)
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#ifdef BN_DEBUG_RAND
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#define bn_clear_top2max(a) \
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{ \
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int ind = (a)->dmax - (a)->top; \
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BN_ULONG *ftl = &(a)->d[(a)->top-1]; \
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for (; ind != 0; ind--) \
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*(++ftl) = 0x0; \
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}
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#else
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#define bn_clear_top2max(a)
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#endif
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#ifdef BN_LLONG
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#define mul_add(r,a,w,c) { \
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BN_ULLONG t; \
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t=(BN_ULLONG)w * (a) + (r) + (c); \
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(r)= Lw(t); \
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(c)= Hw(t); \
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}
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#define mul(r,a,w,c) { \
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BN_ULLONG t; \
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t=(BN_ULLONG)w * (a) + (c); \
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(r)= Lw(t); \
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(c)= Hw(t); \
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}
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#define sqr(r0,r1,a) { \
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BN_ULLONG t; \
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t=(BN_ULLONG)(a)*(a); \
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(r0)=Lw(t); \
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(r1)=Hw(t); \
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}
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#elif defined(BN_UMULT_LOHI)
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#define mul_add(r,a,w,c) { \
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BN_ULONG high,low,ret,tmp=(a); \
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ret = (r); \
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BN_UMULT_LOHI(low,high,w,tmp); \
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ret += (c); \
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(c) = (ret<(c))?1:0; \
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(c) += high; \
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ret += low; \
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(c) += (ret<low)?1:0; \
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(r) = ret; \
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}
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#define mul(r,a,w,c) { \
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BN_ULONG high,low,ret,ta=(a); \
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BN_UMULT_LOHI(low,high,w,ta); \
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ret = low + (c); \
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(c) = high; \
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(c) += (ret<low)?1:0; \
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(r) = ret; \
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}
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#define sqr(r0,r1,a) { \
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BN_ULONG tmp=(a); \
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BN_UMULT_LOHI(r0,r1,tmp,tmp); \
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}
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#elif defined(BN_UMULT_HIGH)
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#define mul_add(r,a,w,c) { \
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BN_ULONG high,low,ret,tmp=(a); \
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ret = (r); \
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high= BN_UMULT_HIGH(w,tmp); \
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ret += (c); \
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low = (w) * tmp; \
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(c) = (ret<(c))?1:0; \
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(c) += high; \
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ret += low; \
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(c) += (ret<low)?1:0; \
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(r) = ret; \
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}
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#define mul(r,a,w,c) { \
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BN_ULONG high,low,ret,ta=(a); \
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low = (w) * ta; \
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high= BN_UMULT_HIGH(w,ta); \
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ret = low + (c); \
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(c) = high; \
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(c) += (ret<low)?1:0; \
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(r) = ret; \
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}
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#define sqr(r0,r1,a) { \
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BN_ULONG tmp=(a); \
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(r0) = tmp * tmp; \
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(r1) = BN_UMULT_HIGH(tmp,tmp); \
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}
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#else
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/*************************************************************
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* No long long type
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*/
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#define LBITS(a) ((a)&BN_MASK2l)
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#define HBITS(a) (((a)>>BN_BITS4)&BN_MASK2l)
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#define L2HBITS(a) (((a)<<BN_BITS4)&BN_MASK2)
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#define LLBITS(a) ((a)&BN_MASKl)
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#define LHBITS(a) (((a)>>BN_BITS2)&BN_MASKl)
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#define LL2HBITS(a) ((BN_ULLONG)((a)&BN_MASKl)<<BN_BITS2)
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#define mul64(l,h,bl,bh) \
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{ \
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BN_ULONG m,m1,lt,ht; \
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\
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lt=l; \
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ht=h; \
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m =(bh)*(lt); \
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lt=(bl)*(lt); \
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m1=(bl)*(ht); \
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ht =(bh)*(ht); \
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m=(m+m1)&BN_MASK2; if (m < m1) ht+=L2HBITS((BN_ULONG)1); \
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ht+=HBITS(m); \
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m1=L2HBITS(m); \
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lt=(lt+m1)&BN_MASK2; if (lt < m1) ht++; \
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(l)=lt; \
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(h)=ht; \
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}
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#define sqr64(lo,ho,in) \
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{ \
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BN_ULONG l,h,m; \
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\
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h=(in); \
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l=LBITS(h); \
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h=HBITS(h); \
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m =(l)*(h); \
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l*=l; \
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h*=h; \
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h+=(m&BN_MASK2h1)>>(BN_BITS4-1); \
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m =(m&BN_MASK2l)<<(BN_BITS4+1); \
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l=(l+m)&BN_MASK2; if (l < m) h++; \
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(lo)=l; \
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(ho)=h; \
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}
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#define mul_add(r,a,bl,bh,c) { \
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BN_ULONG l,h; \
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\
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h= (a); \
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l=LBITS(h); \
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h=HBITS(h); \
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mul64(l,h,(bl),(bh)); \
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\
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/* non-multiply part */ \
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l=(l+(c))&BN_MASK2; if (l < (c)) h++; \
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(c)=(r); \
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l=(l+(c))&BN_MASK2; if (l < (c)) h++; \
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(c)=h&BN_MASK2; \
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(r)=l; \
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}
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#define mul(r,a,bl,bh,c) { \
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BN_ULONG l,h; \
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\
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h= (a); \
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l=LBITS(h); \
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h=HBITS(h); \
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mul64(l,h,(bl),(bh)); \
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\
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/* non-multiply part */ \
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l+=(c); if ((l&BN_MASK2) < (c)) h++; \
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(c)=h&BN_MASK2; \
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(r)=l&BN_MASK2; \
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}
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#endif /* !BN_LLONG */
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void bn_mul_normal(BN_ULONG *r,BN_ULONG *a,int na,BN_ULONG *b,int nb);
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void bn_mul_comba8(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b);
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void bn_mul_comba4(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b);
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void bn_sqr_normal(BN_ULONG *r, const BN_ULONG *a, int n, BN_ULONG *tmp);
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void bn_sqr_comba8(BN_ULONG *r,const BN_ULONG *a);
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void bn_sqr_comba4(BN_ULONG *r,const BN_ULONG *a);
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int bn_cmp_words(const BN_ULONG *a,const BN_ULONG *b,int n);
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int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b,
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int cl, int dl);
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void bn_mul_recursive(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,int n2,
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int dna,int dnb,BN_ULONG *t);
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void bn_mul_part_recursive(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,
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int n,int tna,int tnb,BN_ULONG *t);
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void bn_sqr_recursive(BN_ULONG *r,const BN_ULONG *a, int n2, BN_ULONG *t);
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void bn_mul_low_normal(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b, int n);
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void bn_mul_low_recursive(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,int n2,
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BN_ULONG *t);
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void bn_mul_high(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,BN_ULONG *l,int n2,
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BN_ULONG *t);
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BN_ULONG bn_add_part_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b,
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int cl, int dl);
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BN_ULONG bn_sub_part_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b,
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int cl, int dl);
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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);
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#ifdef __cplusplus
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}
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#endif
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#endif
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