-/* 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).
+/*
+ * Copyright 1995-2016 The OpenSSL Project Authors. All Rights Reserved.
*
+ * Licensed under the OpenSSL license (the "License"). You may not use
+ * this file except in compliance with the License. You can obtain a copy
+ * in the file LICENSE in the source distribution or at
+ * https://www.openssl.org/source/license.html
*/
#ifndef HEADER_BN_LCL_H
-#define HEADER_BN_LCL_H
+# define HEADER_BN_LCL_H
-#include <openssl/bn.h>
+/*
+ * The EDK2 build doesn't use bn_conf.h; it sets THIRTY_TWO_BIT or
+ * SIXTY_FOUR_BIT in its own environment since it doesn't re-run our
+ * Configure script and needs to support both 32-bit and 64-bit.
+ */
+# include <openssl/opensslconf.h>
+
+# if !defined(OPENSSL_SYS_UEFI)
+# include "internal/bn_conf.h"
+# endif
+
+# include "internal/bn_int.h"
#ifdef __cplusplus
extern "C" {
#endif
+/*
+ * These preprocessor symbols control various aspects of the bignum headers
+ * and library code. They're not defined by any "normal" configuration, as
+ * they are intended for development and testing purposes. NB: defining all
+ * three can be useful for debugging application code as well as openssl
+ * itself. BN_DEBUG - turn on various debugging alterations to the bignum
+ * code BN_DEBUG_RAND - uses random poisoning of unused words to trip up
+ * mismanagement of bignum internals. You must also define BN_DEBUG.
+ */
+/* #define BN_DEBUG */
+/* #define BN_DEBUG_RAND */
+
+# ifndef OPENSSL_SMALL_FOOTPRINT
+# define BN_MUL_COMBA
+# define BN_SQR_COMBA
+# define BN_RECURSION
+# endif
+
+/*
+ * This next option uses the C libraries (2 word)/(1 word) function. If it is
+ * not defined, I use my C version (which is slower). The reason for this
+ * flag is that when the particular C compiler library routine is used, and
+ * the library is linked with a different compiler, the library is missing.
+ * This mostly happens when the library is built with gcc and then linked
+ * using normal cc. This would be a common occurrence because gcc normally
+ * produces code that is 2 times faster than system compilers for the big
+ * number stuff. For machines with only one compiler (or shared libraries),
+ * this should be on. Again this in only really a problem on machines using
+ * "long long's", are 32bit, and are not using my assembler code.
+ */
+# if defined(OPENSSL_SYS_MSDOS) || defined(OPENSSL_SYS_WINDOWS) || \
+ defined(OPENSSL_SYS_WIN32) || defined(linux)
+# define BN_DIV2W
+# endif
+
+/*
+ * 64-bit processor with LP64 ABI
+ */
+# ifdef SIXTY_FOUR_BIT_LONG
+# define BN_ULLONG unsigned long long
+# define BN_BITS4 32
+# define BN_MASK2 (0xffffffffffffffffL)
+# define BN_MASK2l (0xffffffffL)
+# define BN_MASK2h (0xffffffff00000000L)
+# define BN_MASK2h1 (0xffffffff80000000L)
+# define BN_DEC_CONV (10000000000000000000UL)
+# define BN_DEC_NUM 19
+# define BN_DEC_FMT1 "%lu"
+# define BN_DEC_FMT2 "%019lu"
+# endif
-/* Used for temp variables */
-#define BN_CTX_NUM 32
-#define BN_CTX_NUM_POS 12
-struct bignum_ctx
- {
- int tos;
- BIGNUM bn[BN_CTX_NUM];
- int flags;
- int depth;
- int pos[BN_CTX_NUM_POS];
- int too_many;
- } /* BN_CTX */;
+/*
+ * 64-bit processor other than LP64 ABI
+ */
+# ifdef SIXTY_FOUR_BIT
+# undef BN_LLONG
+# undef BN_ULLONG
+# define BN_BITS4 32
+# define BN_MASK2 (0xffffffffffffffffLL)
+# define BN_MASK2l (0xffffffffL)
+# define BN_MASK2h (0xffffffff00000000LL)
+# define BN_MASK2h1 (0xffffffff80000000LL)
+# define BN_DEC_CONV (10000000000000000000ULL)
+# define BN_DEC_NUM 19
+# define BN_DEC_FMT1 "%llu"
+# define BN_DEC_FMT2 "%019llu"
+# endif
+
+# ifdef THIRTY_TWO_BIT
+# ifdef BN_LLONG
+# if defined(_WIN32) && !defined(__GNUC__)
+# define BN_ULLONG unsigned __int64
+# else
+# define BN_ULLONG unsigned long long
+# endif
+# endif
+# define BN_BITS4 16
+# define BN_MASK2 (0xffffffffL)
+# define BN_MASK2l (0xffff)
+# define BN_MASK2h1 (0xffff8000L)
+# define BN_MASK2h (0xffff0000L)
+# define BN_DEC_CONV (1000000000L)
+# define BN_DEC_NUM 9
+# define BN_DEC_FMT1 "%u"
+# define BN_DEC_FMT2 "%09u"
+# endif
+
+
+/*-
+ * Bignum consistency macros
+ * There is one "API" macro, bn_fix_top(), for stripping leading zeroes from
+ * bignum data after direct manipulations on the data. There is also an
+ * "internal" macro, bn_check_top(), for verifying that there are no leading
+ * zeroes. Unfortunately, some auditing is required due to the fact that
+ * bn_fix_top() has become an overabused duct-tape because bignum data is
+ * occasionally passed around in an inconsistent state. So the following
+ * changes have been made to sort this out;
+ * - bn_fix_top()s implementation has been moved to bn_correct_top()
+ * - if BN_DEBUG isn't defined, bn_fix_top() maps to bn_correct_top(), and
+ * bn_check_top() is as before.
+ * - if BN_DEBUG *is* defined;
+ * - bn_check_top() tries to pollute unused words even if the bignum 'top' is
+ * consistent. (ed: only if BN_DEBUG_RAND is defined)
+ * - bn_fix_top() maps to bn_check_top() rather than "fixing" anything.
+ * The idea is to have debug builds flag up inconsistent bignums when they
+ * occur. If that occurs in a bn_fix_top(), we examine the code in question; if
+ * the use of bn_fix_top() was appropriate (ie. it follows directly after code
+ * that manipulates the bignum) it is converted to bn_correct_top(), and if it
+ * was not appropriate, we convert it permanently to bn_check_top() and track
+ * down the cause of the bug. Eventually, no internal code should be using the
+ * bn_fix_top() macro. External applications and libraries should try this with
+ * their own code too, both in terms of building against the openssl headers
+ * with BN_DEBUG defined *and* linking with a version of OpenSSL built with it
+ * defined. This not only improves external code, it provides more test
+ * coverage for openssl's own code.
+ */
+# ifdef BN_DEBUG
+
+# ifdef BN_DEBUG_RAND
+# define bn_pollute(a) \
+ do { \
+ const BIGNUM *_bnum1 = (a); \
+ if (_bnum1->top < _bnum1->dmax) { \
+ unsigned char _tmp_char; \
+ /* We cast away const without the compiler knowing, any \
+ * *genuinely* constant variables that aren't mutable \
+ * wouldn't be constructed with top!=dmax. */ \
+ BN_ULONG *_not_const; \
+ memcpy(&_not_const, &_bnum1->d, sizeof(_not_const)); \
+ RAND_bytes(&_tmp_char, 1); /* Debug only - safe to ignore error return */\
+ memset(_not_const + _bnum1->top, _tmp_char, \
+ sizeof(*_not_const) * (_bnum1->dmax - _bnum1->top)); \
+ } \
+ } while(0)
+# else
+# define bn_pollute(a)
+# endif
+# define bn_check_top(a) \
+ do { \
+ const BIGNUM *_bnum2 = (a); \
+ if (_bnum2 != NULL) { \
+ OPENSSL_assert(((_bnum2->top == 0) && !_bnum2->neg) || \
+ (_bnum2->top && (_bnum2->d[_bnum2->top - 1] != 0))); \
+ bn_pollute(_bnum2); \
+ } \
+ } while(0)
+
+# define bn_fix_top(a) bn_check_top(a)
+
+# define bn_check_size(bn, bits) bn_wcheck_size(bn, ((bits+BN_BITS2-1))/BN_BITS2)
+# define bn_wcheck_size(bn, words) \
+ do { \
+ const BIGNUM *_bnum2 = (bn); \
+ OPENSSL_assert((words) <= (_bnum2)->dmax && \
+ (words) >= (_bnum2)->top); \
+ /* avoid unused variable warning with NDEBUG */ \
+ (void)(_bnum2); \
+ } while(0)
+
+# else /* !BN_DEBUG */
+
+# define bn_pollute(a)
+# define bn_check_top(a)
+# define bn_fix_top(a) bn_correct_top(a)
+# define bn_check_size(bn, bits)
+# define bn_wcheck_size(bn, words)
+
+# endif
+
+BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num,
+ BN_ULONG w);
+BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w);
+void bn_sqr_words(BN_ULONG *rp, const BN_ULONG *ap, int num);
+BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d);
+BN_ULONG bn_add_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,
+ int num);
+BN_ULONG bn_sub_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,
+ int num);
+
+struct bignum_st {
+ BN_ULONG *d; /* Pointer to an array of 'BN_BITS2' bit
+ * chunks. */
+ int top; /* Index of last used d +1. */
+ /* The next are internal book keeping for bn_expand. */
+ int dmax; /* Size of the d array. */
+ int neg; /* one if the number is negative */
+ int flags;
+};
+
+/* Used for montgomery multiplication */
+struct bn_mont_ctx_st {
+ int ri; /* number of bits in R */
+ BIGNUM RR; /* used to convert to montgomery form */
+ BIGNUM N; /* The modulus */
+ BIGNUM Ni; /* R*(1/R mod N) - N*Ni = 1 (Ni is only
+ * stored for bignum algorithm) */
+ BN_ULONG n0[2]; /* least significant word(s) of Ni; (type
+ * changed with 0.9.9, was "BN_ULONG n0;"
+ * before) */
+ int flags;
+};
/*
+ * Used for reciprocal division/mod functions It cannot be shared between
+ * threads
+ */
+struct bn_recp_ctx_st {
+ BIGNUM N; /* the divisor */
+ BIGNUM Nr; /* the reciprocal */
+ int num_bits;
+ int shift;
+ int flags;
+};
+
+/* Used for slow "generation" functions. */
+struct bn_gencb_st {
+ unsigned int ver; /* To handle binary (in)compatibility */
+ void *arg; /* callback-specific data */
+ union {
+ /* if (ver==1) - handles old style callbacks */
+ void (*cb_1) (int, int, void *);
+ /* if (ver==2) - new callback style */
+ int (*cb_2) (int, int, BN_GENCB *);
+ } cb;
+};
+
+/*-
* BN_window_bits_for_exponent_size -- macro for sliding window mod_exp functions
*
*
* (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) > 671 ? 6 : \
+ (b) > 239 ? 5 : \
+ (b) > 79 ? 4 : \
+ (b) > 23 ? 3 : 1)
+
+/*
+ * 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 BN_window_bits_for_exponent_size(b) \
- ((b) > 255 ? 5 : \
- (b) > 127 ? 4 : \
- (b) > 17 ? 3 : 1)
-#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)
+/*
+ * 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 */
+# 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)
+/*
+ * 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.
*
* exhibiting "native" performance in C. That's what BN_UMULT_HIGH
* macro is about:-)
*
- * <appro@fy.chalmers.se>
+ *
<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 /* OPENSSL_NO_ASM */
-
-/*************************************************************
- * Using the long long type
+# if defined(__SIZEOF_INT128__) && __SIZEOF_INT128__==16 && \
+ (defined(SIXRY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG))
+# 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; })
+# elif 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_PPC64) && 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
+# 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 */
+
+# 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
+/*******************************************************************
+ * Using the long long type, has to be twice as wide as BN_ULONG...
*/
-#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)->dmax);
-#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
+# define Lw(t) (((BN_ULONG)(t))&BN_MASK2)
+# define Hw(t) (((BN_ULONG)((t)>>BN_BITS2))&BN_MASK2)
+
+# 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) ((BN_ULONG)((a)&BN_MASK2l)<<BN_BITS4)
+# 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 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; \
+# 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; \
+ 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=(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)); \
+ 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; \
+ /* 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)); \
+ 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);
+ /* non-multiply part */ \
+ l+=(c); if ((l&BN_MASK2) < (c)) h++; \
+ (c)=h&BN_MASK2; \
+ (r)=l&BN_MASK2; \
+ }
+# endif /* !BN_LLONG */
+
+void BN_RECP_CTX_init(BN_RECP_CTX *recp);
+void BN_MONT_CTX_init(BN_MONT_CTX *ctx);
+
+void bn_init(BIGNUM *a);
+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);
+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);
BN_ULONG bn_sub_part_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b,
- int cl, int dl);
+ 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);
+
+BIGNUM *int_bn_mod_inverse(BIGNUM *in,
+ const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx,
+ int *noinv);
+
+int bn_probable_prime_dh(BIGNUM *rnd, int bits,
+ const BIGNUM *add, const BIGNUM *rem, BN_CTX *ctx);
+
+static ossl_inline BIGNUM *bn_expand(BIGNUM *a, int bits)
+{
+ if (bits > (INT_MAX - BN_BITS2 + 1))
+ return NULL;
+
+ if (((bits+BN_BITS2-1)/BN_BITS2) <= (a)->dmax)
+ return a;
+
+ return bn_expand2((a),(bits+BN_BITS2-1)/BN_BITS2);
+}
#ifdef __cplusplus
}
projects / openssl.git / blobdiff