+++ /dev/null
-/* crypto/bn/bn_lcl.h */
-/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
- * All rights reserved.
- *
- * 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:
- * 1. Redistributions of source code must retain the copyright
- * 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 the
- * documentation and/or other materials provided with the distribution.
- * 3. All advertising materials mentioning features or use of this software
- * must display the following acknowledgement:
- * "This product includes cryptographic software written by
- * 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
- * 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
- * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
- * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
- * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
- * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
- * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * 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
- * [including the GNU Public Licence.]
- */
-/* ====================================================================
- * Copyright (c) 1998-2000 The OpenSSL Project. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- * 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
- * the documentation and/or other materials provided with the
- * distribution.
- *
- * 3. All advertising materials mentioning features or use of this
- * software must display the following acknowledgment:
- * "This product includes software developed by the OpenSSL Project
- * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
- *
- * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
- * endorse or promote products derived from this software without
- * prior written permission. For written permission, please contact
- * openssl-core@openssl.org.
- *
- * 5. Products derived from this software may not be called "OpenSSL"
- * nor may "OpenSSL" appear in their names without prior written
- * permission of the OpenSSL Project.
- *
- * 6. Redistributions of any form whatsoever must retain the following
- * acknowledgment:
- * "This product includes software developed by the OpenSSL Project
- * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
- *
- * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
- * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
- * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
- * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
- * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
- * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
- * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
- * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
- * STRICT 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.
- * ====================================================================
- *
- * This product includes cryptographic software written by Eric Young
- * (eay@cryptsoft.com). This product includes software written by Tim
- * Hudson (tjh@cryptsoft.com).
- *
- */
-
-#ifndef HEADER_BN_LCL_H
-#define HEADER_BN_LCL_H
-
-#include <openssl/bn.h>
-
-#ifdef __cplusplus
-extern "C" {
-#endif
-
-
-/*
- * 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.
- */
-#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
-
-
-
-/* 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(NO_ASM) && !defined(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:-)
- *
- * <appro@fy.chalmers.se>
- */
-# if 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__)
-# 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 */
-# endif /* cpu */
-#endif /* 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)
-
-/* This is used for internal error checking and is not normally used */
-#ifdef BN_DEBUG
-# include <assert.h>
-# define bn_check_top(a) assert ((a)->top >= 0 && (a)->top <= (a)->max);
-#else
-# define bn_check_top(a)
-#endif
-
-/* This macro is to add extra stuff for development checking */
-#ifdef BN_DEBUG
-#define bn_set_max(r) ((r)->max=(r)->top,BN_set_flags((r),BN_FLG_STATIC_DATA))
-#else
-#define bn_set_max(r)
-#endif
-
-/* These macros are used to 'take' a section of a bignum for read only use */
-#define bn_set_low(r,a,n) \
- { \
- (r)->top=((a)->top > (n))?(n):(a)->top; \
- (r)->d=(a)->d; \
- (r)->neg=(a)->neg; \
- (r)->flags|=BN_FLG_STATIC_DATA; \
- bn_set_max(r); \
- }
-
-#define bn_set_high(r,a,n) \
- { \
- if ((a)->top > (n)) \
- { \
- (r)->top=(a)->top-n; \
- (r)->d= &((a)->d[n]); \
- } \
- else \
- (r)->top=0; \
- (r)->neg=(a)->neg; \
- (r)->flags|=BN_FLG_STATIC_DATA; \
- bn_set_max(r); \
- }
-
-#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<low)?1:0; \
- (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<low)?1:0; \
- (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) ((BN_ULONG)((a)&BN_MASK2l)<<BN_BITS4)
-
-#define LLBITS(a) ((a)&BN_MASKl)
-#define LHBITS(a) (((a)>>BN_BITS2)&BN_MASKl)
-#define LL2HBITS(a) ((BN_ULLONG)((a)&BN_MASKl)<<BN_BITS2)
-
-#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(1L); \
- 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_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, BN_ULONG *a, int n, BN_ULONG *tmp);
-void bn_sqr_comba8(BN_ULONG *r,BN_ULONG *a);
-void bn_sqr_comba4(BN_ULONG *r,BN_ULONG *a);
-int bn_cmp_words(BN_ULONG *a,BN_ULONG *b,int n);
-void bn_mul_recursive(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,int n2,BN_ULONG *t);
-void bn_mul_part_recursive(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,
- int tn, int n,BN_ULONG *t);
-void bn_sqr_recursive(BN_ULONG *r,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);
-
-#ifdef __cplusplus
-}
-#endif
-
-#endif
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