/* crypto/bn/bn_lcl.h */
-/* Copyright (C) 1995-1997 Eric Young (eay@cryptsoft.com)
+/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
* All rights reserved.
*
* This package is an SSL implementation written
* 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 "bn.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
+# 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 /* 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)
-#define bn_fix_top(a) \
- { \
- BN_ULONG *fix_top_l; \
- for (fix_top_l= &((a)->d[(a)->top-1]); (a)->top > 0; (a)->top--) \
- if (*(fix_top_l--)) break; \
+#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; \
}
-
-#define bn_expand(n,b) ((((b)/BN_BITS2) <= (n)->max)?(n):bn_expand2((n),(b)))
+#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); \
+ (r)= Lw(t); \
(c)= Hw(t); \
}
#define mul(r,a,w,c) { \
BN_ULLONG t; \
t=(BN_ULLONG)w * (a) + (c); \
- (r)=Lw(t); \
+ (r)= Lw(t); \
(c)= Hw(t); \
}
-#define bn_mul_words(r1,r2,a,b) \
- { \
+#define sqr(r0,r1,a) { \
BN_ULLONG t; \
- t=(BN_ULLONG)(a)*(b); \
- r1=Lw(t); \
- r2=Hw(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
#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 L2HBITS(a) (((a)<<BN_BITS4)&BN_MASK2)
#define LLBITS(a) ((a)&BN_MASKl)
#define LHBITS(a) (((a)>>BN_BITS2)&BN_MASKl)
lt=(bl)*(lt); \
m1=(bl)*(ht); \
ht =(bh)*(ht); \
- m+=m1; if ((m&BN_MASK2) < m1) ht+=L2HBITS(1L); \
+ m=(m+m1)&BN_MASK2; if (m < m1) ht+=L2HBITS((BN_ULONG)1); \
ht+=HBITS(m); \
m1=L2HBITS(m); \
- lt+=m1; if ((lt&BN_MASK2) < m1) ht++; \
+ lt=(lt+m1)&BN_MASK2; if (lt < m1) ht++; \
(l)=lt; \
(h)=ht; \
}
h*=h; \
h+=(m&BN_MASK2h1)>>(BN_BITS4-1); \
m =(m&BN_MASK2l)<<(BN_BITS4+1); \
- l+=m; if ((l&BN_MASK2) < m) h++; \
+ l=(l+m)&BN_MASK2; if (l < m) h++; \
(lo)=l; \
(ho)=h; \
}
mul64(l,h,(bl),(bh)); \
\
/* non-multiply part */ \
- l+=(c); if ((l&BN_MASK2) < (c)) h++; \
+ l=(l+(c))&BN_MASK2; if (l < (c)) h++; \
(c)=(r); \
- l+=(c); if ((l&BN_MASK2) < (c)) h++; \
+ l=(l+(c))&BN_MASK2; if (l < (c)) h++; \
(c)=h&BN_MASK2; \
- (r)=l&BN_MASK2; \
+ (r)=l; \
}
#define mul(r,a,bl,bh,c) { \
(c)=h&BN_MASK2; \
(r)=l&BN_MASK2; \
}
+#endif /* !BN_LLONG */
-#define bn_mul_words(r1,r2,a,b) \
- { \
- BN_ULONG l,h,bl,bh; \
- \
- h=(a); \
- l=LBITS(h); \
- h=HBITS(h); \
- bh=(b); \
- bl=LBITS(bh); \
- bh=HBITS(bh); \
- \
- mul64(l,h,bl,bh); \
- \
- (r1)=l; \
- (r2)=h; \
- }
+#if defined(OPENSSL_DOING_MAKEDEPEND) && defined(OPENSSL_FIPS)
+#undef bn_div_words
#endif
-#ifndef NOPROTO
-
-BIGNUM *bn_expand2(BIGNUM *b, int bits);
-
-#else
-
-BIGNUM *bn_expand2();
-
-#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
}
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