[331] | 1 | /*
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| 2 | * Copyright 1995-2016 The OpenSSL Project Authors. All Rights Reserved.
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| 3 | *
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| 4 | * Licensed under the OpenSSL license (the "License"). You may not use
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| 5 | * this file except in compliance with the License. You can obtain a copy
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| 6 | * in the file LICENSE in the source distribution or at
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| 7 | * https://www.openssl.org/source/license.html
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| 8 | */
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| 9 |
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| 10 | #ifndef HEADER_BN_LCL_H
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| 11 | # define HEADER_BN_LCL_H
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| 12 |
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| 13 | /*
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| 14 | * The EDK2 build doesn't use bn_conf.h; it sets THIRTY_TWO_BIT or
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| 15 | * SIXTY_FOUR_BIT in its own environment since it doesn't re-run our
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| 16 | * Configure script and needs to support both 32-bit and 64-bit.
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| 17 | */
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| 18 | # include <openssl/opensslconf.h>
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| 19 |
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| 20 | # if !defined(OPENSSL_SYS_UEFI)
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| 21 | # include "internal/bn_conf.h"
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| 22 | # endif
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| 23 |
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| 24 | # include "internal/bn_int.h"
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| 25 |
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| 26 | #ifdef __cplusplus
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| 27 | extern "C" {
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| 28 | #endif
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| 29 |
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| 30 | /*
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| 31 | * These preprocessor symbols control various aspects of the bignum headers
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| 32 | * and library code. They're not defined by any "normal" configuration, as
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| 33 | * they are intended for development and testing purposes. NB: defining all
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| 34 | * three can be useful for debugging application code as well as openssl
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| 35 | * itself. BN_DEBUG - turn on various debugging alterations to the bignum
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| 36 | * code BN_DEBUG_RAND - uses random poisoning of unused words to trip up
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| 37 | * mismanagement of bignum internals. You must also define BN_DEBUG.
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| 38 | */
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| 39 | /* #define BN_DEBUG */
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| 40 | /* #define BN_DEBUG_RAND */
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| 41 |
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| 42 | # ifndef OPENSSL_SMALL_FOOTPRINT
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| 43 | # define BN_MUL_COMBA
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| 44 | # define BN_SQR_COMBA
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| 45 | # define BN_RECURSION
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| 46 | # endif
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| 47 |
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| 48 | /*
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| 49 | * This next option uses the C libraries (2 word)/(1 word) function. If it is
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| 50 | * not defined, I use my C version (which is slower). The reason for this
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| 51 | * flag is that when the particular C compiler library routine is used, and
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| 52 | * the library is linked with a different compiler, the library is missing.
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| 53 | * This mostly happens when the library is built with gcc and then linked
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| 54 | * using normal cc. This would be a common occurrence because gcc normally
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| 55 | * produces code that is 2 times faster than system compilers for the big
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| 56 | * number stuff. For machines with only one compiler (or shared libraries),
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| 57 | * this should be on. Again this in only really a problem on machines using
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| 58 | * "long long's", are 32bit, and are not using my assembler code.
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| 59 | */
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| 60 | # if defined(OPENSSL_SYS_MSDOS) || defined(OPENSSL_SYS_WINDOWS) || \
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| 61 | defined(OPENSSL_SYS_WIN32) || defined(linux)
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| 62 | # define BN_DIV2W
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| 63 | # endif
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| 64 |
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| 65 | /*
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| 66 | * 64-bit processor with LP64 ABI
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| 67 | */
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| 68 | # ifdef SIXTY_FOUR_BIT_LONG
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| 69 | # define BN_ULLONG unsigned long long
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| 70 | # define BN_BITS4 32
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| 71 | # define BN_MASK2 (0xffffffffffffffffL)
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| 72 | # define BN_MASK2l (0xffffffffL)
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| 73 | # define BN_MASK2h (0xffffffff00000000L)
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| 74 | # define BN_MASK2h1 (0xffffffff80000000L)
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| 75 | # define BN_DEC_CONV (10000000000000000000UL)
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| 76 | # define BN_DEC_NUM 19
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| 77 | # define BN_DEC_FMT1 "%lu"
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| 78 | # define BN_DEC_FMT2 "%019lu"
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| 79 | # endif
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| 80 |
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| 81 | /*
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| 82 | * 64-bit processor other than LP64 ABI
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| 83 | */
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| 84 | # ifdef SIXTY_FOUR_BIT
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| 85 | # undef BN_LLONG
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| 86 | # undef BN_ULLONG
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| 87 | # define BN_BITS4 32
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| 88 | # define BN_MASK2 (0xffffffffffffffffLL)
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| 89 | # define BN_MASK2l (0xffffffffL)
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| 90 | # define BN_MASK2h (0xffffffff00000000LL)
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| 91 | # define BN_MASK2h1 (0xffffffff80000000LL)
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| 92 | # define BN_DEC_CONV (10000000000000000000ULL)
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| 93 | # define BN_DEC_NUM 19
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| 94 | # define BN_DEC_FMT1 "%llu"
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| 95 | # define BN_DEC_FMT2 "%019llu"
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| 96 | # endif
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| 97 |
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| 98 | # ifdef THIRTY_TWO_BIT
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| 99 | # ifdef BN_LLONG
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| 100 | # if defined(_WIN32) && !defined(__GNUC__)
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| 101 | # define BN_ULLONG unsigned __int64
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| 102 | # else
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| 103 | # define BN_ULLONG unsigned long long
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| 104 | # endif
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| 105 | # endif
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| 106 | # define BN_BITS4 16
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| 107 | # define BN_MASK2 (0xffffffffL)
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| 108 | # define BN_MASK2l (0xffff)
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| 109 | # define BN_MASK2h1 (0xffff8000L)
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| 110 | # define BN_MASK2h (0xffff0000L)
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| 111 | # define BN_DEC_CONV (1000000000L)
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| 112 | # define BN_DEC_NUM 9
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| 113 | # define BN_DEC_FMT1 "%u"
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| 114 | # define BN_DEC_FMT2 "%09u"
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| 115 | # endif
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| 116 |
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| 117 |
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| 118 | /*-
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| 119 | * Bignum consistency macros
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| 120 | * There is one "API" macro, bn_fix_top(), for stripping leading zeroes from
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| 121 | * bignum data after direct manipulations on the data. There is also an
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| 122 | * "internal" macro, bn_check_top(), for verifying that there are no leading
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| 123 | * zeroes. Unfortunately, some auditing is required due to the fact that
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| 124 | * bn_fix_top() has become an overabused duct-tape because bignum data is
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| 125 | * occasionally passed around in an inconsistent state. So the following
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| 126 | * changes have been made to sort this out;
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| 127 | * - bn_fix_top()s implementation has been moved to bn_correct_top()
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| 128 | * - if BN_DEBUG isn't defined, bn_fix_top() maps to bn_correct_top(), and
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| 129 | * bn_check_top() is as before.
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| 130 | * - if BN_DEBUG *is* defined;
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| 131 | * - bn_check_top() tries to pollute unused words even if the bignum 'top' is
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| 132 | * consistent. (ed: only if BN_DEBUG_RAND is defined)
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| 133 | * - bn_fix_top() maps to bn_check_top() rather than "fixing" anything.
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| 134 | * The idea is to have debug builds flag up inconsistent bignums when they
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| 135 | * occur. If that occurs in a bn_fix_top(), we examine the code in question; if
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| 136 | * the use of bn_fix_top() was appropriate (ie. it follows directly after code
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| 137 | * that manipulates the bignum) it is converted to bn_correct_top(), and if it
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| 138 | * was not appropriate, we convert it permanently to bn_check_top() and track
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| 139 | * down the cause of the bug. Eventually, no internal code should be using the
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| 140 | * bn_fix_top() macro. External applications and libraries should try this with
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| 141 | * their own code too, both in terms of building against the openssl headers
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| 142 | * with BN_DEBUG defined *and* linking with a version of OpenSSL built with it
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| 143 | * defined. This not only improves external code, it provides more test
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| 144 | * coverage for openssl's own code.
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| 145 | */
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| 146 |
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| 147 | # ifdef BN_DEBUG
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| 148 |
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| 149 | # ifdef BN_DEBUG_RAND
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| 150 | /* To avoid "make update" cvs wars due to BN_DEBUG, use some tricks */
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| 151 | # ifndef RAND_bytes
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| 152 | int RAND_bytes(unsigned char *buf, int num);
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| 153 | # define BN_DEBUG_TRIX
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| 154 | # endif
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| 155 | # define bn_pollute(a) \
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| 156 | do { \
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| 157 | const BIGNUM *_bnum1 = (a); \
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| 158 | if (_bnum1->top < _bnum1->dmax) { \
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| 159 | unsigned char _tmp_char; \
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| 160 | /* We cast away const without the compiler knowing, any \
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| 161 | * *genuinely* constant variables that aren't mutable \
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| 162 | * wouldn't be constructed with top!=dmax. */ \
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| 163 | BN_ULONG *_not_const; \
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| 164 | memcpy(&_not_const, &_bnum1->d, sizeof(_not_const)); \
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| 165 | RAND_bytes(&_tmp_char, 1); /* Debug only - safe to ignore error return */\
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| 166 | memset(_not_const + _bnum1->top, _tmp_char, \
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| 167 | sizeof(*_not_const) * (_bnum1->dmax - _bnum1->top)); \
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| 168 | } \
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| 169 | } while(0)
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| 170 | # ifdef BN_DEBUG_TRIX
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| 171 | # undef RAND_bytes
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| 172 | # endif
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| 173 | # else
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| 174 | # define bn_pollute(a)
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| 175 | # endif
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| 176 | # define bn_check_top(a) \
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| 177 | do { \
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| 178 | const BIGNUM *_bnum2 = (a); \
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| 179 | if (_bnum2 != NULL) { \
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| 180 | OPENSSL_assert(((_bnum2->top == 0) && !_bnum2->neg) || \
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| 181 | (_bnum2->top && (_bnum2->d[_bnum2->top - 1] != 0))); \
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| 182 | bn_pollute(_bnum2); \
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| 183 | } \
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| 184 | } while(0)
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| 185 |
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| 186 | # define bn_fix_top(a) bn_check_top(a)
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| 187 |
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| 188 | # define bn_check_size(bn, bits) bn_wcheck_size(bn, ((bits+BN_BITS2-1))/BN_BITS2)
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| 189 | # define bn_wcheck_size(bn, words) \
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| 190 | do { \
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| 191 | const BIGNUM *_bnum2 = (bn); \
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| 192 | OPENSSL_assert((words) <= (_bnum2)->dmax && \
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| 193 | (words) >= (_bnum2)->top); \
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| 194 | /* avoid unused variable warning with NDEBUG */ \
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| 195 | (void)(_bnum2); \
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| 196 | } while(0)
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| 197 |
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| 198 | # else /* !BN_DEBUG */
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| 199 |
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| 200 | # define bn_pollute(a)
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| 201 | # define bn_check_top(a)
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| 202 | # define bn_fix_top(a) bn_correct_top(a)
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| 203 | # define bn_check_size(bn, bits)
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| 204 | # define bn_wcheck_size(bn, words)
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| 205 |
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| 206 | # endif
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| 207 |
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| 208 | BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num,
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| 209 | BN_ULONG w);
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| 210 | BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w);
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| 211 | void bn_sqr_words(BN_ULONG *rp, const BN_ULONG *ap, int num);
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| 212 | BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d);
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| 213 | BN_ULONG bn_add_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,
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| 214 | int num);
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| 215 | BN_ULONG bn_sub_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,
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| 216 | int num);
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| 217 |
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| 218 | struct bignum_st {
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| 219 | BN_ULONG *d; /* Pointer to an array of 'BN_BITS2' bit
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| 220 | * chunks. */
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| 221 | int top; /* Index of last used d +1. */
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| 222 | /* The next are internal book keeping for bn_expand. */
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| 223 | int dmax; /* Size of the d array. */
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| 224 | int neg; /* one if the number is negative */
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| 225 | int flags;
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| 226 | };
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| 227 |
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| 228 | /* Used for montgomery multiplication */
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| 229 | struct bn_mont_ctx_st {
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| 230 | int ri; /* number of bits in R */
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| 231 | BIGNUM RR; /* used to convert to montgomery form */
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| 232 | BIGNUM N; /* The modulus */
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| 233 | BIGNUM Ni; /* R*(1/R mod N) - N*Ni = 1 (Ni is only
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| 234 | * stored for bignum algorithm) */
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| 235 | BN_ULONG n0[2]; /* least significant word(s) of Ni; (type
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| 236 | * changed with 0.9.9, was "BN_ULONG n0;"
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| 237 | * before) */
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| 238 | int flags;
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| 239 | };
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| 240 |
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| 241 | /*
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| 242 | * Used for reciprocal division/mod functions It cannot be shared between
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| 243 | * threads
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| 244 | */
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| 245 | struct bn_recp_ctx_st {
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| 246 | BIGNUM N; /* the divisor */
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| 247 | BIGNUM Nr; /* the reciprocal */
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| 248 | int num_bits;
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| 249 | int shift;
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| 250 | int flags;
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| 251 | };
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| 252 |
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| 253 | /* Used for slow "generation" functions. */
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| 254 | struct bn_gencb_st {
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| 255 | unsigned int ver; /* To handle binary (in)compatibility */
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| 256 | void *arg; /* callback-specific data */
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| 257 | union {
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| 258 | /* if (ver==1) - handles old style callbacks */
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| 259 | void (*cb_1) (int, int, void *);
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| 260 | /* if (ver==2) - new callback style */
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| 261 | int (*cb_2) (int, int, BN_GENCB *);
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| 262 | } cb;
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| 263 | };
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| 264 |
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| 265 | /*-
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| 266 | * BN_window_bits_for_exponent_size -- macro for sliding window mod_exp functions
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| 267 | *
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| 268 | *
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| 269 | * For window size 'w' (w >= 2) and a random 'b' bits exponent,
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| 270 | * the number of multiplications is a constant plus on average
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| 271 | *
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| 272 | * 2^(w-1) + (b-w)/(w+1);
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| 273 | *
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| 274 | * here 2^(w-1) is for precomputing the table (we actually need
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| 275 | * entries only for windows that have the lowest bit set), and
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| 276 | * (b-w)/(w+1) is an approximation for the expected number of
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| 277 | * w-bit windows, not counting the first one.
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| 278 | *
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| 279 | * Thus we should use
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| 280 | *
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| 281 | * w >= 6 if b > 671
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| 282 | * w = 5 if 671 > b > 239
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| 283 | * w = 4 if 239 > b > 79
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| 284 | * w = 3 if 79 > b > 23
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| 285 | * w <= 2 if 23 > b
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| 286 | *
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| 287 | * (with draws in between). Very small exponents are often selected
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| 288 | * with low Hamming weight, so we use w = 1 for b <= 23.
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| 289 | */
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| 290 | # define BN_window_bits_for_exponent_size(b) \
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| 291 | ((b) > 671 ? 6 : \
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| 292 | (b) > 239 ? 5 : \
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| 293 | (b) > 79 ? 4 : \
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| 294 | (b) > 23 ? 3 : 1)
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| 295 |
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| 296 | /*
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| 297 | * BN_mod_exp_mont_conttime is based on the assumption that the L1 data cache
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| 298 | * line width of the target processor is at least the following value.
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| 299 | */
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| 300 | # define MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH ( 64 )
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| 301 | # define MOD_EXP_CTIME_MIN_CACHE_LINE_MASK (MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH - 1)
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| 302 |
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| 303 | /*
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| 304 | * Window sizes optimized for fixed window size modular exponentiation
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| 305 | * algorithm (BN_mod_exp_mont_consttime). To achieve the security goals of
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| 306 | * BN_mode_exp_mont_consttime, the maximum size of the window must not exceed
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| 307 | * log_2(MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH). Window size thresholds are
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| 308 | * defined for cache line sizes of 32 and 64, cache line sizes where
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| 309 | * log_2(32)=5 and log_2(64)=6 respectively. A window size of 7 should only be
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| 310 | * used on processors that have a 128 byte or greater cache line size.
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| 311 | */
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| 312 | # if MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH == 64
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| 313 |
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| 314 | # define BN_window_bits_for_ctime_exponent_size(b) \
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| 315 | ((b) > 937 ? 6 : \
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| 316 | (b) > 306 ? 5 : \
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| 317 | (b) > 89 ? 4 : \
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| 318 | (b) > 22 ? 3 : 1)
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| 319 | # define BN_MAX_WINDOW_BITS_FOR_CTIME_EXPONENT_SIZE (6)
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| 320 |
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| 321 | # elif MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH == 32
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| 322 |
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| 323 | # define BN_window_bits_for_ctime_exponent_size(b) \
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| 324 | ((b) > 306 ? 5 : \
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| 325 | (b) > 89 ? 4 : \
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| 326 | (b) > 22 ? 3 : 1)
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| 327 | # define BN_MAX_WINDOW_BITS_FOR_CTIME_EXPONENT_SIZE (5)
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| 328 |
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| 329 | # endif
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| 330 |
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| 331 | /* Pentium pro 16,16,16,32,64 */
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| 332 | /* Alpha 16,16,16,16.64 */
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| 333 | # define BN_MULL_SIZE_NORMAL (16)/* 32 */
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| 334 | # define BN_MUL_RECURSIVE_SIZE_NORMAL (16)/* 32 less than */
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| 335 | # define BN_SQR_RECURSIVE_SIZE_NORMAL (16)/* 32 */
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| 336 | # define BN_MUL_LOW_RECURSIVE_SIZE_NORMAL (32)/* 32 */
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| 337 | # define BN_MONT_CTX_SET_SIZE_WORD (64)/* 32 */
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| 338 |
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| 339 | /*
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| 340 | * 2011-02-22 SMS. In various places, a size_t variable or a type cast to
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| 341 | * size_t was used to perform integer-only operations on pointers. This
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| 342 | * failed on VMS with 64-bit pointers (CC /POINTER_SIZE = 64) because size_t
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| 343 | * is still only 32 bits. What's needed in these cases is an integer type
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| 344 | * with the same size as a pointer, which size_t is not certain to be. The
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| 345 | * only fix here is VMS-specific.
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| 346 | */
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| 347 | # if defined(OPENSSL_SYS_VMS)
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| 348 | # if __INITIAL_POINTER_SIZE == 64
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| 349 | # define PTR_SIZE_INT long long
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| 350 | # else /* __INITIAL_POINTER_SIZE == 64 */
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| 351 | # define PTR_SIZE_INT int
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| 352 | # endif /* __INITIAL_POINTER_SIZE == 64 [else] */
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| 353 | # elif !defined(PTR_SIZE_INT) /* defined(OPENSSL_SYS_VMS) */
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| 354 | # define PTR_SIZE_INT size_t
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| 355 | # endif /* defined(OPENSSL_SYS_VMS) [else] */
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| 356 |
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| 357 | # if !defined(OPENSSL_NO_ASM) && !defined(OPENSSL_NO_INLINE_ASM) && !defined(PEDANTIC)
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| 358 | /*
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| 359 | * BN_UMULT_HIGH section.
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| 360 | *
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| 361 | * No, I'm not trying to overwhelm you when stating that the
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| 362 | * product of N-bit numbers is 2*N bits wide:-) No, I don't expect
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| 363 | * you to be impressed when I say that if the compiler doesn't
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| 364 | * support 2*N integer type, then you have to replace every N*N
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| 365 | * multiplication with 4 (N/2)*(N/2) accompanied by some shifts
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| 366 | * and additions which unavoidably results in severe performance
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| 367 | * penalties. Of course provided that the hardware is capable of
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| 368 | * producing 2*N result... That's when you normally start
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| 369 | * considering assembler implementation. However! It should be
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| 370 | * pointed out that some CPUs (most notably Alpha, PowerPC and
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| 371 | * upcoming IA-64 family:-) provide *separate* instruction
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| 372 | * calculating the upper half of the product placing the result
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| 373 | * into a general purpose register. Now *if* the compiler supports
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| 374 | * inline assembler, then it's not impossible to implement the
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| 375 | * "bignum" routines (and have the compiler optimize 'em)
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| 376 | * exhibiting "native" performance in C. That's what BN_UMULT_HIGH
|
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| 377 | * macro is about:-)
|
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| 378 | *
|
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| 379 | * <appro@fy.chalmers.se>
|
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| 380 | */
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| 381 | # if defined(__alpha) && (defined(SIXTY_FOUR_BIT_LONG) || defined(SIXTY_FOUR_BIT))
|
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| 382 | # if defined(__DECC)
|
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| 383 | # include <c_asm.h>
|
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| 384 | # define BN_UMULT_HIGH(a,b) (BN_ULONG)asm("umulh %a0,%a1,%v0",(a),(b))
|
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| 385 | # elif defined(__GNUC__) && __GNUC__>=2
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| 386 | # define BN_UMULT_HIGH(a,b) ({ \
|
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| 387 | register BN_ULONG ret; \
|
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| 388 | asm ("umulh %1,%2,%0" \
|
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| 389 | : "=r"(ret) \
|
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| 390 | : "r"(a), "r"(b)); \
|
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| 391 | ret; })
|
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| 392 | # endif /* compiler */
|
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| 393 | # elif defined(_ARCH_PPC) && defined(__64BIT__) && defined(SIXTY_FOUR_BIT_LONG)
|
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| 394 | # if defined(__GNUC__) && __GNUC__>=2
|
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| 395 | # define BN_UMULT_HIGH(a,b) ({ \
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| 396 | register BN_ULONG ret; \
|
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| 397 | asm ("mulhdu %0,%1,%2" \
|
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| 398 | : "=r"(ret) \
|
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| 399 | : "r"(a), "r"(b)); \
|
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| 400 | ret; })
|
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| 401 | # endif /* compiler */
|
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| 402 | # elif (defined(__x86_64) || defined(__x86_64__)) && \
|
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| 403 | (defined(SIXTY_FOUR_BIT_LONG) || defined(SIXTY_FOUR_BIT))
|
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| 404 | # if defined(__GNUC__) && __GNUC__>=2
|
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| 405 | # define BN_UMULT_HIGH(a,b) ({ \
|
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| 406 | register BN_ULONG ret,discard; \
|
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| 407 | asm ("mulq %3" \
|
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| 408 | : "=a"(discard),"=d"(ret) \
|
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| 409 | : "a"(a), "g"(b) \
|
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| 410 | : "cc"); \
|
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| 411 | ret; })
|
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| 412 | # define BN_UMULT_LOHI(low,high,a,b) \
|
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| 413 | asm ("mulq %3" \
|
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| 414 | : "=a"(low),"=d"(high) \
|
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| 415 | : "a"(a),"g"(b) \
|
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| 416 | : "cc");
|
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| 417 | # endif
|
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| 418 | # elif (defined(_M_AMD64) || defined(_M_X64)) && defined(SIXTY_FOUR_BIT)
|
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| 419 | # if defined(_MSC_VER) && _MSC_VER>=1400
|
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| 420 | unsigned __int64 __umulh(unsigned __int64 a, unsigned __int64 b);
|
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| 421 | unsigned __int64 _umul128(unsigned __int64 a, unsigned __int64 b,
|
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| 422 | unsigned __int64 *h);
|
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| 423 | # pragma intrinsic(__umulh,_umul128)
|
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| 424 | # define BN_UMULT_HIGH(a,b) __umulh((a),(b))
|
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| 425 | # define BN_UMULT_LOHI(low,high,a,b) ((low)=_umul128((a),(b),&(high)))
|
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| 426 | # endif
|
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| 427 | # elif defined(__mips) && (defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG))
|
---|
| 428 | # if defined(__GNUC__) && __GNUC__>=2
|
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| 429 | # if defined(__SIZEOF_INT128__) && __SIZEOF_INT128__==16
|
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| 430 | /* "h" constraint is not an option on R6 and was removed in 4.4 */
|
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| 431 | # define BN_UMULT_HIGH(a,b) (((__uint128_t)(a)*(b))>>64)
|
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| 432 | # define BN_UMULT_LOHI(low,high,a,b) ({ \
|
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| 433 | __uint128_t ret=(__uint128_t)(a)*(b); \
|
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| 434 | (high)=ret>>64; (low)=ret; })
|
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| 435 | # else
|
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| 436 | # define BN_UMULT_HIGH(a,b) ({ \
|
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| 437 | register BN_ULONG ret; \
|
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| 438 | asm ("dmultu %1,%2" \
|
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| 439 | : "=h"(ret) \
|
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| 440 | : "r"(a), "r"(b) : "l"); \
|
---|
| 441 | ret; })
|
---|
| 442 | # define BN_UMULT_LOHI(low,high,a,b)\
|
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| 443 | asm ("dmultu %2,%3" \
|
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| 444 | : "=l"(low),"=h"(high) \
|
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| 445 | : "r"(a), "r"(b));
|
---|
| 446 | # endif
|
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| 447 | # endif
|
---|
| 448 | # elif defined(__aarch64__) && defined(SIXTY_FOUR_BIT_LONG)
|
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| 449 | # if defined(__GNUC__) && __GNUC__>=2
|
---|
| 450 | # define BN_UMULT_HIGH(a,b) ({ \
|
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| 451 | register BN_ULONG ret; \
|
---|
| 452 | asm ("umulh %0,%1,%2" \
|
---|
| 453 | : "=r"(ret) \
|
---|
| 454 | : "r"(a), "r"(b)); \
|
---|
| 455 | ret; })
|
---|
| 456 | # endif
|
---|
| 457 | # endif /* cpu */
|
---|
| 458 | # endif /* OPENSSL_NO_ASM */
|
---|
| 459 |
|
---|
| 460 | /*************************************************************
|
---|
| 461 | * Using the long long type
|
---|
| 462 | */
|
---|
| 463 | # define Lw(t) (((BN_ULONG)(t))&BN_MASK2)
|
---|
| 464 | # define Hw(t) (((BN_ULONG)((t)>>BN_BITS2))&BN_MASK2)
|
---|
| 465 |
|
---|
| 466 | # ifdef BN_DEBUG_RAND
|
---|
| 467 | # define bn_clear_top2max(a) \
|
---|
| 468 | { \
|
---|
| 469 | int ind = (a)->dmax - (a)->top; \
|
---|
| 470 | BN_ULONG *ftl = &(a)->d[(a)->top-1]; \
|
---|
| 471 | for (; ind != 0; ind--) \
|
---|
| 472 | *(++ftl) = 0x0; \
|
---|
| 473 | }
|
---|
| 474 | # else
|
---|
| 475 | # define bn_clear_top2max(a)
|
---|
| 476 | # endif
|
---|
| 477 |
|
---|
| 478 | # ifdef BN_LLONG
|
---|
| 479 | # define mul_add(r,a,w,c) { \
|
---|
| 480 | BN_ULLONG t; \
|
---|
| 481 | t=(BN_ULLONG)w * (a) + (r) + (c); \
|
---|
| 482 | (r)= Lw(t); \
|
---|
| 483 | (c)= Hw(t); \
|
---|
| 484 | }
|
---|
| 485 |
|
---|
| 486 | # define mul(r,a,w,c) { \
|
---|
| 487 | BN_ULLONG t; \
|
---|
| 488 | t=(BN_ULLONG)w * (a) + (c); \
|
---|
| 489 | (r)= Lw(t); \
|
---|
| 490 | (c)= Hw(t); \
|
---|
| 491 | }
|
---|
| 492 |
|
---|
| 493 | # define sqr(r0,r1,a) { \
|
---|
| 494 | BN_ULLONG t; \
|
---|
| 495 | t=(BN_ULLONG)(a)*(a); \
|
---|
| 496 | (r0)=Lw(t); \
|
---|
| 497 | (r1)=Hw(t); \
|
---|
| 498 | }
|
---|
| 499 |
|
---|
| 500 | # elif defined(BN_UMULT_LOHI)
|
---|
| 501 | # define mul_add(r,a,w,c) { \
|
---|
| 502 | BN_ULONG high,low,ret,tmp=(a); \
|
---|
| 503 | ret = (r); \
|
---|
| 504 | BN_UMULT_LOHI(low,high,w,tmp); \
|
---|
| 505 | ret += (c); \
|
---|
| 506 | (c) = (ret<(c))?1:0; \
|
---|
| 507 | (c) += high; \
|
---|
| 508 | ret += low; \
|
---|
| 509 | (c) += (ret<low)?1:0; \
|
---|
| 510 | (r) = ret; \
|
---|
| 511 | }
|
---|
| 512 |
|
---|
| 513 | # define mul(r,a,w,c) { \
|
---|
| 514 | BN_ULONG high,low,ret,ta=(a); \
|
---|
| 515 | BN_UMULT_LOHI(low,high,w,ta); \
|
---|
| 516 | ret = low + (c); \
|
---|
| 517 | (c) = high; \
|
---|
| 518 | (c) += (ret<low)?1:0; \
|
---|
| 519 | (r) = ret; \
|
---|
| 520 | }
|
---|
| 521 |
|
---|
| 522 | # define sqr(r0,r1,a) { \
|
---|
| 523 | BN_ULONG tmp=(a); \
|
---|
| 524 | BN_UMULT_LOHI(r0,r1,tmp,tmp); \
|
---|
| 525 | }
|
---|
| 526 |
|
---|
| 527 | # elif defined(BN_UMULT_HIGH)
|
---|
| 528 | # define mul_add(r,a,w,c) { \
|
---|
| 529 | BN_ULONG high,low,ret,tmp=(a); \
|
---|
| 530 | ret = (r); \
|
---|
| 531 | high= BN_UMULT_HIGH(w,tmp); \
|
---|
| 532 | ret += (c); \
|
---|
| 533 | low = (w) * tmp; \
|
---|
| 534 | (c) = (ret<(c))?1:0; \
|
---|
| 535 | (c) += high; \
|
---|
| 536 | ret += low; \
|
---|
| 537 | (c) += (ret<low)?1:0; \
|
---|
| 538 | (r) = ret; \
|
---|
| 539 | }
|
---|
| 540 |
|
---|
| 541 | # define mul(r,a,w,c) { \
|
---|
| 542 | BN_ULONG high,low,ret,ta=(a); \
|
---|
| 543 | low = (w) * ta; \
|
---|
| 544 | high= BN_UMULT_HIGH(w,ta); \
|
---|
| 545 | ret = low + (c); \
|
---|
| 546 | (c) = high; \
|
---|
| 547 | (c) += (ret<low)?1:0; \
|
---|
| 548 | (r) = ret; \
|
---|
| 549 | }
|
---|
| 550 |
|
---|
| 551 | # define sqr(r0,r1,a) { \
|
---|
| 552 | BN_ULONG tmp=(a); \
|
---|
| 553 | (r0) = tmp * tmp; \
|
---|
| 554 | (r1) = BN_UMULT_HIGH(tmp,tmp); \
|
---|
| 555 | }
|
---|
| 556 |
|
---|
| 557 | # else
|
---|
| 558 | /*************************************************************
|
---|
| 559 | * No long long type
|
---|
| 560 | */
|
---|
| 561 |
|
---|
| 562 | # define LBITS(a) ((a)&BN_MASK2l)
|
---|
| 563 | # define HBITS(a) (((a)>>BN_BITS4)&BN_MASK2l)
|
---|
| 564 | # define L2HBITS(a) (((a)<<BN_BITS4)&BN_MASK2)
|
---|
| 565 |
|
---|
| 566 | # define LLBITS(a) ((a)&BN_MASKl)
|
---|
| 567 | # define LHBITS(a) (((a)>>BN_BITS2)&BN_MASKl)
|
---|
| 568 | # define LL2HBITS(a) ((BN_ULLONG)((a)&BN_MASKl)<<BN_BITS2)
|
---|
| 569 |
|
---|
| 570 | # define mul64(l,h,bl,bh) \
|
---|
| 571 | { \
|
---|
| 572 | BN_ULONG m,m1,lt,ht; \
|
---|
| 573 | \
|
---|
| 574 | lt=l; \
|
---|
| 575 | ht=h; \
|
---|
| 576 | m =(bh)*(lt); \
|
---|
| 577 | lt=(bl)*(lt); \
|
---|
| 578 | m1=(bl)*(ht); \
|
---|
| 579 | ht =(bh)*(ht); \
|
---|
| 580 | m=(m+m1)&BN_MASK2; if (m < m1) ht+=L2HBITS((BN_ULONG)1); \
|
---|
| 581 | ht+=HBITS(m); \
|
---|
| 582 | m1=L2HBITS(m); \
|
---|
| 583 | lt=(lt+m1)&BN_MASK2; if (lt < m1) ht++; \
|
---|
| 584 | (l)=lt; \
|
---|
| 585 | (h)=ht; \
|
---|
| 586 | }
|
---|
| 587 |
|
---|
| 588 | # define sqr64(lo,ho,in) \
|
---|
| 589 | { \
|
---|
| 590 | BN_ULONG l,h,m; \
|
---|
| 591 | \
|
---|
| 592 | h=(in); \
|
---|
| 593 | l=LBITS(h); \
|
---|
| 594 | h=HBITS(h); \
|
---|
| 595 | m =(l)*(h); \
|
---|
| 596 | l*=l; \
|
---|
| 597 | h*=h; \
|
---|
| 598 | h+=(m&BN_MASK2h1)>>(BN_BITS4-1); \
|
---|
| 599 | m =(m&BN_MASK2l)<<(BN_BITS4+1); \
|
---|
| 600 | l=(l+m)&BN_MASK2; if (l < m) h++; \
|
---|
| 601 | (lo)=l; \
|
---|
| 602 | (ho)=h; \
|
---|
| 603 | }
|
---|
| 604 |
|
---|
| 605 | # define mul_add(r,a,bl,bh,c) { \
|
---|
| 606 | BN_ULONG l,h; \
|
---|
| 607 | \
|
---|
| 608 | h= (a); \
|
---|
| 609 | l=LBITS(h); \
|
---|
| 610 | h=HBITS(h); \
|
---|
| 611 | mul64(l,h,(bl),(bh)); \
|
---|
| 612 | \
|
---|
| 613 | /* non-multiply part */ \
|
---|
| 614 | l=(l+(c))&BN_MASK2; if (l < (c)) h++; \
|
---|
| 615 | (c)=(r); \
|
---|
| 616 | l=(l+(c))&BN_MASK2; if (l < (c)) h++; \
|
---|
| 617 | (c)=h&BN_MASK2; \
|
---|
| 618 | (r)=l; \
|
---|
| 619 | }
|
---|
| 620 |
|
---|
| 621 | # define mul(r,a,bl,bh,c) { \
|
---|
| 622 | BN_ULONG l,h; \
|
---|
| 623 | \
|
---|
| 624 | h= (a); \
|
---|
| 625 | l=LBITS(h); \
|
---|
| 626 | h=HBITS(h); \
|
---|
| 627 | mul64(l,h,(bl),(bh)); \
|
---|
| 628 | \
|
---|
| 629 | /* non-multiply part */ \
|
---|
| 630 | l+=(c); if ((l&BN_MASK2) < (c)) h++; \
|
---|
| 631 | (c)=h&BN_MASK2; \
|
---|
| 632 | (r)=l&BN_MASK2; \
|
---|
| 633 | }
|
---|
| 634 | # endif /* !BN_LLONG */
|
---|
| 635 |
|
---|
| 636 | void BN_RECP_CTX_init(BN_RECP_CTX *recp);
|
---|
| 637 | void BN_MONT_CTX_init(BN_MONT_CTX *ctx);
|
---|
| 638 |
|
---|
| 639 | void bn_init(BIGNUM *a);
|
---|
| 640 | void bn_mul_normal(BN_ULONG *r, BN_ULONG *a, int na, BN_ULONG *b, int nb);
|
---|
| 641 | void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b);
|
---|
| 642 | void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b);
|
---|
| 643 | void bn_sqr_normal(BN_ULONG *r, const BN_ULONG *a, int n, BN_ULONG *tmp);
|
---|
| 644 | void bn_sqr_comba8(BN_ULONG *r, const BN_ULONG *a);
|
---|
| 645 | void bn_sqr_comba4(BN_ULONG *r, const BN_ULONG *a);
|
---|
| 646 | int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n);
|
---|
| 647 | int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b, int cl, int dl);
|
---|
| 648 | void bn_mul_recursive(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n2,
|
---|
| 649 | int dna, int dnb, BN_ULONG *t);
|
---|
| 650 | void bn_mul_part_recursive(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b,
|
---|
| 651 | int n, int tna, int tnb, BN_ULONG *t);
|
---|
| 652 | void bn_sqr_recursive(BN_ULONG *r, const BN_ULONG *a, int n2, BN_ULONG *t);
|
---|
| 653 | void bn_mul_low_normal(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n);
|
---|
| 654 | void bn_mul_low_recursive(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n2,
|
---|
| 655 | BN_ULONG *t);
|
---|
| 656 | void bn_mul_high(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, BN_ULONG *l, int n2,
|
---|
| 657 | BN_ULONG *t);
|
---|
| 658 | BN_ULONG bn_add_part_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b,
|
---|
| 659 | int cl, int dl);
|
---|
| 660 | BN_ULONG bn_sub_part_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b,
|
---|
| 661 | int cl, int dl);
|
---|
| 662 | int bn_mul_mont(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,
|
---|
| 663 | const BN_ULONG *np, const BN_ULONG *n0, int num);
|
---|
| 664 |
|
---|
| 665 | BIGNUM *int_bn_mod_inverse(BIGNUM *in,
|
---|
| 666 | const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx,
|
---|
| 667 | int *noinv);
|
---|
| 668 |
|
---|
| 669 | int bn_probable_prime_dh(BIGNUM *rnd, int bits,
|
---|
| 670 | const BIGNUM *add, const BIGNUM *rem, BN_CTX *ctx);
|
---|
| 671 | int bn_probable_prime_dh_retry(BIGNUM *rnd, int bits, BN_CTX *ctx);
|
---|
| 672 | int bn_probable_prime_dh_coprime(BIGNUM *rnd, int bits, BN_CTX *ctx);
|
---|
| 673 |
|
---|
| 674 | static ossl_inline BIGNUM *bn_expand(BIGNUM *a, int bits)
|
---|
| 675 | {
|
---|
| 676 | if (bits > (INT_MAX - BN_BITS2 + 1))
|
---|
| 677 | return NULL;
|
---|
| 678 |
|
---|
| 679 | if (((bits+BN_BITS2-1)/BN_BITS2) <= (a)->dmax)
|
---|
| 680 | return a;
|
---|
| 681 |
|
---|
| 682 | return bn_expand2((a),(bits+BN_BITS2-1)/BN_BITS2);
|
---|
| 683 | }
|
---|
| 684 |
|
---|
| 685 | #ifdef __cplusplus
|
---|
| 686 | }
|
---|
| 687 | #endif
|
---|
| 688 |
|
---|
| 689 | #endif
|
---|