2014-06-20 20:00:00 +01:00
|
|
|
/* Copyright (C) 1995-1997 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) 1998-2006 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 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
|
|
|
|
*
|
|
|
|
* Portions of the attached software ("Contribution") are developed by
|
|
|
|
* SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
|
|
|
|
*
|
|
|
|
* The Contribution is licensed pursuant to the Eric Young open source
|
|
|
|
* license provided above.
|
|
|
|
*
|
|
|
|
* The binary polynomial arithmetic software is originally written by
|
|
|
|
* Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems
|
|
|
|
* Laboratories. */
|
|
|
|
|
|
|
|
#ifndef OPENSSL_HEADER_BN_INTERNAL_H
|
|
|
|
#define OPENSSL_HEADER_BN_INTERNAL_H
|
|
|
|
|
|
|
|
#include <openssl/base.h>
|
|
|
|
|
2014-06-24 19:15:12 +01:00
|
|
|
#include <inttypes.h>
|
|
|
|
|
2014-12-03 22:57:04 +00:00
|
|
|
#if defined(OPENSSL_X86_64) && defined(_MSC_VER) && _MSC_VER >= 1400
|
2015-02-11 20:12:05 +00:00
|
|
|
#pragma warning(push, 3)
|
2014-12-03 22:57:04 +00:00
|
|
|
#include <intrin.h>
|
2015-02-11 20:12:05 +00:00
|
|
|
#pragma warning(pop)
|
2014-12-03 22:57:04 +00:00
|
|
|
#pragma intrinsic(__umulh, _umul128)
|
|
|
|
#endif
|
|
|
|
|
2014-06-20 20:00:00 +01:00
|
|
|
#if defined(__cplusplus)
|
|
|
|
extern "C" {
|
|
|
|
#endif
|
|
|
|
|
|
|
|
/* bn_expand acts the same as |BN_wexpand|, but takes a number of bits rather
|
|
|
|
* than a number of words. */
|
|
|
|
BIGNUM *bn_expand(BIGNUM *bn, unsigned bits);
|
|
|
|
|
|
|
|
#if defined(OPENSSL_64_BIT)
|
|
|
|
|
2015-01-09 23:44:37 +00:00
|
|
|
#if !defined(_MSC_VER)
|
|
|
|
/* MSVC doesn't support two-word integers on 64-bit. */
|
|
|
|
#define BN_LLONG __int128_t
|
|
|
|
#define BN_ULLONG __uint128_t
|
|
|
|
#endif
|
|
|
|
|
2014-06-20 20:00:00 +01:00
|
|
|
#define BN_BITS 128
|
2015-01-09 23:44:37 +00:00
|
|
|
#define BN_BITS2 64
|
2014-06-20 20:00:00 +01:00
|
|
|
#define BN_BYTES 8
|
|
|
|
#define BN_BITS4 32
|
|
|
|
#define BN_MASK (0xffffffffffffffffffffffffffffffffLL)
|
|
|
|
#define BN_MASK2 (0xffffffffffffffffL)
|
|
|
|
#define BN_MASK2l (0xffffffffL)
|
|
|
|
#define BN_MASK2h (0xffffffff00000000L)
|
|
|
|
#define BN_MASK2h1 (0xffffffff80000000L)
|
|
|
|
#define BN_TBIT (0x8000000000000000L)
|
|
|
|
#define BN_DEC_CONV (10000000000000000000UL)
|
2014-06-24 19:15:12 +01:00
|
|
|
#define BN_DEC_FMT1 "%" PRIu64
|
|
|
|
#define BN_DEC_FMT2 "%019" PRIu64
|
2014-06-20 20:00:00 +01:00
|
|
|
#define BN_DEC_NUM 19
|
2014-06-24 19:15:12 +01:00
|
|
|
#define BN_HEX_FMT1 "%" PRIx64
|
2014-06-20 20:00:00 +01:00
|
|
|
|
|
|
|
#elif defined(OPENSSL_32_BIT)
|
|
|
|
|
2015-01-09 23:44:37 +00:00
|
|
|
#define BN_LLONG int64_t
|
|
|
|
#define BN_ULLONG uint64_t
|
|
|
|
#define BN_MASK (0xffffffffffffffffLL)
|
2014-06-20 20:00:00 +01:00
|
|
|
#define BN_BITS 64
|
2015-01-09 23:44:37 +00:00
|
|
|
#define BN_BITS2 32
|
2014-06-20 20:00:00 +01:00
|
|
|
#define BN_BYTES 4
|
|
|
|
#define BN_BITS4 16
|
|
|
|
#define BN_MASK2 (0xffffffffL)
|
|
|
|
#define BN_MASK2l (0xffff)
|
|
|
|
#define BN_MASK2h1 (0xffff8000L)
|
|
|
|
#define BN_MASK2h (0xffff0000L)
|
|
|
|
#define BN_TBIT (0x80000000L)
|
|
|
|
#define BN_DEC_CONV (1000000000L)
|
2014-06-24 19:15:12 +01:00
|
|
|
#define BN_DEC_FMT1 "%" PRIu32
|
|
|
|
#define BN_DEC_FMT2 "%09" PRIu32
|
2014-06-20 20:00:00 +01:00
|
|
|
#define BN_DEC_NUM 9
|
2014-06-24 19:15:12 +01:00
|
|
|
#define BN_HEX_FMT1 "%" PRIx32
|
2014-06-20 20:00:00 +01:00
|
|
|
|
|
|
|
#else
|
|
|
|
#error "Must define either OPENSSL_32_BIT or OPENSSL_64_BIT"
|
|
|
|
#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 */
|
|
|
|
|
2015-01-09 23:44:37 +00:00
|
|
|
#if defined(BN_LLONG)
|
|
|
|
#define Lw(t) (((BN_ULONG)(t))&BN_MASK2)
|
|
|
|
#define Hw(t) (((BN_ULONG)((t)>>BN_BITS2))&BN_MASK2)
|
|
|
|
#endif
|
|
|
|
|
2014-06-20 20:00:00 +01:00
|
|
|
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);
|
|
|
|
|
|
|
|
void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b);
|
|
|
|
void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b);
|
|
|
|
void bn_sqr_comba8(BN_ULONG *r, const BN_ULONG *a);
|
|
|
|
void bn_sqr_comba4(BN_ULONG *r, const BN_ULONG *a);
|
|
|
|
|
|
|
|
/* bn_cmp_words returns a value less than, equal to or greater than zero if
|
|
|
|
* the, length |n|, array |a| is less than, equal to or greater than |b|. */
|
|
|
|
int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n);
|
|
|
|
|
|
|
|
/* bn_cmp_words returns a value less than, equal to or greater than zero if the
|
|
|
|
* array |a| is less than, equal to or greater than |b|. The arrays can be of
|
|
|
|
* different lengths: |cl| gives the minimum of the two lengths and |dl| gives
|
|
|
|
* the length of |a| minus the length of |b|. */
|
|
|
|
int bn_cmp_part_words(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);
|
|
|
|
|
2015-01-09 23:44:37 +00:00
|
|
|
#if !defined(BN_LLONG)
|
|
|
|
|
2014-06-20 20:00:00 +01:00
|
|
|
#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; \
|
|
|
|
}
|
|
|
|
|
2015-01-09 23:44:37 +00:00
|
|
|
#endif /* !defined(BN_LLONG) */
|
|
|
|
|
2014-06-20 20:00:00 +01:00
|
|
|
#if !defined(OPENSSL_NO_ASM) && defined(OPENSSL_X86_64)
|
2014-12-03 22:57:04 +00:00
|
|
|
# if defined(__GNUC__) && __GNUC__ >= 2
|
2014-06-20 20:00:00 +01:00
|
|
|
# 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");
|
2014-12-03 22:57:04 +00:00
|
|
|
# elif defined(_MSC_VER) && _MSC_VER >= 1400
|
|
|
|
# define BN_UMULT_HIGH(a, b) __umulh((a), (b))
|
|
|
|
# define BN_UMULT_LOHI(low, high, a, b) ((low) = _umul128((a), (b), &(high)))
|
2014-06-20 20:00:00 +01:00
|
|
|
# endif
|
|
|
|
#elif !defined(OPENSSL_NO_ASM) && defined(OPENSSL_AARCH64)
|
|
|
|
# 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
|
|
|
|
|
|
|
|
|
|
|
|
#if defined(__cplusplus)
|
|
|
|
} /* extern C */
|
|
|
|
#endif
|
|
|
|
|
|
|
|
#endif /* OPENSSL_HEADER_BN_INTERNAL_H */
|