1 /* Copyright (C) 1995-1997 Eric Young (eay (at) cryptsoft.com) 2 * All rights reserved. 3 * 4 * This package is an SSL implementation written 5 * by Eric Young (eay (at) cryptsoft.com). 6 * The implementation was written so as to conform with Netscapes SSL. 7 * 8 * This library is free for commercial and non-commercial use as long as 9 * the following conditions are aheared to. The following conditions 10 * apply to all code found in this distribution, be it the RC4, RSA, 11 * lhash, DES, etc., code; not just the SSL code. The SSL documentation 12 * included with this distribution is covered by the same copyright terms 13 * except that the holder is Tim Hudson (tjh (at) cryptsoft.com). 14 * 15 * Copyright remains Eric Young's, and as such any Copyright notices in 16 * the code are not to be removed. 17 * If this package is used in a product, Eric Young should be given attribution 18 * as the author of the parts of the library used. 19 * This can be in the form of a textual message at program startup or 20 * in documentation (online or textual) provided with the package. 21 * 22 * Redistribution and use in source and binary forms, with or without 23 * modification, are permitted provided that the following conditions 24 * are met: 25 * 1. Redistributions of source code must retain the copyright 26 * notice, this list of conditions and the following disclaimer. 27 * 2. Redistributions in binary form must reproduce the above copyright 28 * notice, this list of conditions and the following disclaimer in the 29 * documentation and/or other materials provided with the distribution. 30 * 3. All advertising materials mentioning features or use of this software 31 * must display the following acknowledgement: 32 * "This product includes cryptographic software written by 33 * Eric Young (eay (at) cryptsoft.com)" 34 * The word 'cryptographic' can be left out if the rouines from the library 35 * being used are not cryptographic related :-). 36 * 4. If you include any Windows specific code (or a derivative thereof) from 37 * the apps directory (application code) you must include an acknowledgement: 38 * "This product includes software written by Tim Hudson (tjh (at) cryptsoft.com)" 39 * 40 * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND 41 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 42 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 43 * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE 44 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 45 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 46 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 47 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 48 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 49 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 50 * SUCH DAMAGE. 51 * 52 * The licence and distribution terms for any publically available version or 53 * derivative of this code cannot be changed. i.e. this code cannot simply be 54 * copied and put under another distribution licence 55 * [including the GNU Public Licence.] 56 */ 57 /* ==================================================================== 58 * Copyright (c) 1998-2006 The OpenSSL Project. All rights reserved. 59 * 60 * Redistribution and use in source and binary forms, with or without 61 * modification, are permitted provided that the following conditions 62 * are met: 63 * 64 * 1. Redistributions of source code must retain the above copyright 65 * notice, this list of conditions and the following disclaimer. 66 * 67 * 2. Redistributions in binary form must reproduce the above copyright 68 * notice, this list of conditions and the following disclaimer in 69 * the documentation and/or other materials provided with the 70 * distribution. 71 * 72 * 3. All advertising materials mentioning features or use of this 73 * software must display the following acknowledgment: 74 * "This product includes software developed by the OpenSSL Project 75 * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" 76 * 77 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to 78 * endorse or promote products derived from this software without 79 * prior written permission. For written permission, please contact 80 * openssl-core (at) openssl.org. 81 * 82 * 5. Products derived from this software may not be called "OpenSSL" 83 * nor may "OpenSSL" appear in their names without prior written 84 * permission of the OpenSSL Project. 85 * 86 * 6. Redistributions of any form whatsoever must retain the following 87 * acknowledgment: 88 * "This product includes software developed by the OpenSSL Project 89 * for use in the OpenSSL Toolkit (http://www.openssl.org/)" 90 * 91 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY 92 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 93 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR 94 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR 95 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, 96 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT 97 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; 98 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 99 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, 100 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) 101 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED 102 * OF THE POSSIBILITY OF SUCH DAMAGE. 103 * ==================================================================== 104 * 105 * This product includes cryptographic software written by Eric Young 106 * (eay (at) cryptsoft.com). This product includes software written by Tim 107 * Hudson (tjh (at) cryptsoft.com). 108 * 109 */ 110 /* ==================================================================== 111 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. 112 * 113 * Portions of the attached software ("Contribution") are developed by 114 * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. 115 * 116 * The Contribution is licensed pursuant to the Eric Young open source 117 * license provided above. 118 * 119 * The binary polynomial arithmetic software is originally written by 120 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems 121 * Laboratories. */ 122 123 #ifndef OPENSSL_HEADER_BN_INTERNAL_H 124 #define OPENSSL_HEADER_BN_INTERNAL_H 125 126 #include <openssl/base.h> 127 128 #if defined(OPENSSL_X86_64) && defined(_MSC_VER) && _MSC_VER >= 1400 129 #pragma warning(push, 3) 130 #include <intrin.h> 131 #pragma warning(pop) 132 #pragma intrinsic(__umulh, _umul128) 133 #endif 134 135 #if defined(__cplusplus) 136 extern "C" { 137 #endif 138 139 /* bn_expand acts the same as |bn_wexpand|, but takes a number of bits rather 140 * than a number of words. */ 141 BIGNUM *bn_expand(BIGNUM *bn, size_t bits); 142 143 #if defined(OPENSSL_64_BIT) 144 145 #if !defined(_MSC_VER) 146 /* MSVC doesn't support two-word integers on 64-bit. */ 147 #define BN_ULLONG __uint128_t 148 #endif 149 150 #define BN_BITS2 64 151 #define BN_BYTES 8 152 #define BN_BITS4 32 153 #define BN_MASK2 (0xffffffffffffffffUL) 154 #define BN_MASK2l (0xffffffffUL) 155 #define BN_MASK2h (0xffffffff00000000UL) 156 #define BN_MASK2h1 (0xffffffff80000000UL) 157 #define BN_TBIT (0x8000000000000000UL) 158 #define BN_DEC_CONV (10000000000000000000UL) 159 #define BN_DEC_NUM 19 160 #define TOBN(hi, lo) ((BN_ULONG)hi << 32 | lo) 161 162 #elif defined(OPENSSL_32_BIT) 163 164 #define BN_ULLONG uint64_t 165 #define BN_BITS2 32 166 #define BN_BYTES 4 167 #define BN_BITS4 16 168 #define BN_MASK2 (0xffffffffUL) 169 #define BN_MASK2l (0xffffUL) 170 #define BN_MASK2h1 (0xffff8000UL) 171 #define BN_MASK2h (0xffff0000UL) 172 #define BN_TBIT (0x80000000UL) 173 #define BN_DEC_CONV (1000000000UL) 174 #define BN_DEC_NUM 9 175 #define TOBN(hi, lo) lo, hi 176 177 #else 178 #error "Must define either OPENSSL_32_BIT or OPENSSL_64_BIT" 179 #endif 180 181 182 /* Pentium pro 16,16,16,32,64 */ 183 /* Alpha 16,16,16,16.64 */ 184 #define BN_MULL_SIZE_NORMAL (16) /* 32 */ 185 #define BN_MUL_RECURSIVE_SIZE_NORMAL (16) /* 32 less than */ 186 #define BN_SQR_RECURSIVE_SIZE_NORMAL (16) /* 32 */ 187 #define BN_MUL_LOW_RECURSIVE_SIZE_NORMAL (32) /* 32 */ 188 #define BN_MONT_CTX_SET_SIZE_WORD (64) /* 32 */ 189 190 #define STATIC_BIGNUM(x) \ 191 { \ 192 (BN_ULONG *)x, sizeof(x) / sizeof(BN_ULONG), \ 193 sizeof(x) / sizeof(BN_ULONG), 0, BN_FLG_STATIC_DATA \ 194 } 195 196 #if defined(BN_ULLONG) 197 #define Lw(t) (((BN_ULONG)(t))&BN_MASK2) 198 #define Hw(t) (((BN_ULONG)((t)>>BN_BITS2))&BN_MASK2) 199 #endif 200 201 BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w); 202 BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w); 203 void bn_sqr_words(BN_ULONG *rp, const BN_ULONG *ap, int num); 204 BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d); 205 BN_ULONG bn_add_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num); 206 BN_ULONG bn_sub_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num); 207 208 void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b); 209 void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b); 210 void bn_sqr_comba8(BN_ULONG *r, const BN_ULONG *a); 211 void bn_sqr_comba4(BN_ULONG *r, const BN_ULONG *a); 212 213 /* bn_cmp_words returns a value less than, equal to or greater than zero if 214 * the, length |n|, array |a| is less than, equal to or greater than |b|. */ 215 int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n); 216 217 /* bn_cmp_words returns a value less than, equal to or greater than zero if the 218 * array |a| is less than, equal to or greater than |b|. The arrays can be of 219 * different lengths: |cl| gives the minimum of the two lengths and |dl| gives 220 * the length of |a| minus the length of |b|. */ 221 int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b, int cl, int dl); 222 223 int bn_mul_mont(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp, 224 const BN_ULONG *np, const BN_ULONG *n0, int num); 225 226 #if !defined(BN_ULLONG) 227 228 #define LBITS(a) ((a) & BN_MASK2l) 229 #define HBITS(a) (((a) >> BN_BITS4) & BN_MASK2l) 230 #define L2HBITS(a) (((a) << BN_BITS4) & BN_MASK2) 231 232 #define LLBITS(a) ((a) & BN_MASKl) 233 #define LHBITS(a) (((a) >> BN_BITS2) & BN_MASKl) 234 #define LL2HBITS(a) ((BN_ULLONG)((a) & BN_MASKl) << BN_BITS2) 235 236 #define mul64(l, h, bl, bh) \ 237 { \ 238 BN_ULONG m, m1, lt, ht; \ 239 \ 240 lt = l; \ 241 ht = h; \ 242 m = (bh) * (lt); \ 243 lt = (bl) * (lt); \ 244 m1 = (bl) * (ht); \ 245 ht = (bh) * (ht); \ 246 m = (m + m1) & BN_MASK2; \ 247 if (m < m1) \ 248 ht += L2HBITS((BN_ULONG)1); \ 249 ht += HBITS(m); \ 250 m1 = L2HBITS(m); \ 251 lt = (lt + m1) & BN_MASK2; \ 252 if (lt < m1) \ 253 ht++; \ 254 (l) = lt; \ 255 (h) = ht; \ 256 } 257 258 #endif /* !defined(BN_ULLONG) */ 259 260 #if !defined(OPENSSL_NO_ASM) && defined(OPENSSL_X86_64) 261 # if defined(__GNUC__) && __GNUC__ >= 2 262 # define BN_UMULT_HIGH(a,b) ({ \ 263 register BN_ULONG ret,discard; \ 264 __asm__ ("mulq %3" \ 265 : "=a"(discard),"=d"(ret) \ 266 : "a"(a), "g"(b) \ 267 : "cc"); \ 268 ret; }) 269 # define BN_UMULT_LOHI(low,high,a,b) \ 270 __asm__ ("mulq %3" \ 271 : "=a"(low),"=d"(high) \ 272 : "a"(a),"g"(b) \ 273 : "cc"); 274 # elif defined(_MSC_VER) && _MSC_VER >= 1400 275 # define BN_UMULT_HIGH(a, b) __umulh((a), (b)) 276 # define BN_UMULT_LOHI(low, high, a, b) ((low) = _umul128((a), (b), &(high))) 277 # endif 278 #elif !defined(OPENSSL_NO_ASM) && defined(OPENSSL_AARCH64) 279 # if defined(__GNUC__) && __GNUC__>=2 280 # define BN_UMULT_HIGH(a,b) ({ \ 281 register BN_ULONG ret; \ 282 __asm__ ("umulh %0,%1,%2" \ 283 : "=r"(ret) \ 284 : "r"(a), "r"(b)); \ 285 ret; }) 286 # endif 287 #endif 288 289 290 #if defined(__cplusplus) 291 } /* extern C */ 292 #endif 293 294 #endif /* OPENSSL_HEADER_BN_INTERNAL_H */ 295
