/* 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 /* Some versions of inttypes.h will not define print macros in C++ unless * __STDC_FORMAT_MACROS is set. */ #if !defined(__STDC_FORMAT_MACROS) #define __STDC_FORMAT_MACROS #endif #include #if defined(OPENSSL_X86_64) && defined(_MSC_VER) && _MSC_VER >= 1400 #pragma warning(push, 3) #include #pragma warning(pop) #pragma intrinsic(__umulh, _umul128) #endif #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) #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 #define BN_BITS 128 #define BN_BITS2 64 #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) #define BN_DEC_FMT1 "%" PRIu64 #define BN_DEC_FMT2 "%019" PRIu64 #define BN_DEC_NUM 19 #define BN_HEX_FMT1 "%" PRIx64 #elif defined(OPENSSL_32_BIT) #define BN_LLONG int64_t #define BN_ULLONG uint64_t #define BN_MASK (0xffffffffffffffffLL) #define BN_BITS 64 #define BN_BITS2 32 #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) #define BN_DEC_FMT1 "%" PRIu32 #define BN_DEC_FMT2 "%09" PRIu32 #define BN_DEC_NUM 9 #define BN_HEX_FMT1 "%" PRIx32 #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 */ #if defined(BN_LLONG) #define Lw(t) (((BN_ULONG)(t))&BN_MASK2) #define Hw(t) (((BN_ULONG)((t)>>BN_BITS2))&BN_MASK2) #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); 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); #if !defined(BN_LLONG) #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; \ } #endif /* !defined(BN_LLONG) */ #if !defined(OPENSSL_NO_ASM) && defined(OPENSSL_X86_64) # 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"); # 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))) # 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 */