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-/* 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
-
-/*
- * 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)
-
-/*
- * 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
-
-# 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 */
-
-/*
- * 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.
- *
- * 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__) && __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_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<low)?1:0; \
- (r) = ret; \
- }
-
-# define mul(r,a,w,c) { \
- BN_ULONG high,low,ret,ta=(a); \
- BN_UMULT_LOHI(low,high,w,ta); \
- ret = low + (c); \
- (c) = high; \
- (c) += (ret<low)?1:0; \
- (r) = ret; \
- }
-
-# define sqr(r0,r1,a) { \
- BN_ULONG tmp=(a); \
- BN_UMULT_LOHI(r0,r1,tmp,tmp); \
- }
-
-# 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) (((a)<<BN_BITS4)&BN_MASK2)
-
-# 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((BN_ULONG)1); \
- 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 */
-
-# if defined(OPENSSL_DOING_MAKEDEPEND) && defined(OPENSSL_FIPS)
-# undef bn_div_words
-# endif
-
-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