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| 1 /* crypto/bn/bn_lcl.h */ | |
| 2 /* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com) | |
| 3 * All rights reserved. | |
| 4 * | |
| 5 * This package is an SSL implementation written | |
| 6 * by Eric Young (eay@cryptsoft.com). | |
| 7 * The implementation was written so as to conform with Netscapes SSL. | |
| 8 * | |
| 9 * This library is free for commercial and non-commercial use as long as | |
| 10 * the following conditions are aheared to. The following conditions | |
| 11 * apply to all code found in this distribution, be it the RC4, RSA, | |
| 12 * lhash, DES, etc., code; not just the SSL code. The SSL documentation | |
| 13 * included with this distribution is covered by the same copyright terms | |
| 14 * except that the holder is Tim Hudson (tjh@cryptsoft.com). | |
| 15 * | |
| 16 * Copyright remains Eric Young's, and as such any Copyright notices in | |
| 17 * the code are not to be removed. | |
| 18 * If this package is used in a product, Eric Young should be given attribution | |
| 19 * as the author of the parts of the library used. | |
| 20 * This can be in the form of a textual message at program startup or | |
| 21 * in documentation (online or textual) provided with the package. | |
| 22 * | |
| 23 * Redistribution and use in source and binary forms, with or without | |
| 24 * modification, are permitted provided that the following conditions | |
| 25 * are met: | |
| 26 * 1. Redistributions of source code must retain the copyright | |
| 27 * notice, this list of conditions and the following disclaimer. | |
| 28 * 2. Redistributions in binary form must reproduce the above copyright | |
| 29 * notice, this list of conditions and the following disclaimer in the | |
| 30 * documentation and/or other materials provided with the distribution. | |
| 31 * 3. All advertising materials mentioning features or use of this software | |
| 32 * must display the following acknowledgement: | |
| 33 * "This product includes cryptographic software written by | |
| 34 * Eric Young (eay@cryptsoft.com)" | |
| 35 * The word 'cryptographic' can be left out if the rouines from the library | |
| 36 * being used are not cryptographic related :-). | |
| 37 * 4. If you include any Windows specific code (or a derivative thereof) from | |
| 38 * the apps directory (application code) you must include an acknowledgement: | |
| 39 * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)" | |
| 40 * | |
| 41 * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND | |
| 42 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE | |
| 43 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE | |
| 44 * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE | |
| 45 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL | |
| 46 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS | |
| 47 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) | |
| 48 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT | |
| 49 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY | |
| 50 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF | |
| 51 * SUCH DAMAGE. | |
| 52 * | |
| 53 * The licence and distribution terms for any publically available version or | |
| 54 * derivative of this code cannot be changed. i.e. this code cannot simply be | |
| 55 * copied and put under another distribution licence | |
| 56 * [including the GNU Public Licence.] | |
| 57 */ | |
| 58 /* ==================================================================== | |
| 59 * Copyright (c) 1998-2000 The OpenSSL Project. All rights reserved. | |
| 60 * | |
| 61 * Redistribution and use in source and binary forms, with or without | |
| 62 * modification, are permitted provided that the following conditions | |
| 63 * are met: | |
| 64 * | |
| 65 * 1. Redistributions of source code must retain the above copyright | |
| 66 * notice, this list of conditions and the following disclaimer. | |
| 67 * | |
| 68 * 2. Redistributions in binary form must reproduce the above copyright | |
| 69 * notice, this list of conditions and the following disclaimer in | |
| 70 * the documentation and/or other materials provided with the | |
| 71 * distribution. | |
| 72 * | |
| 73 * 3. All advertising materials mentioning features or use of this | |
| 74 * software must display the following acknowledgment: | |
| 75 * "This product includes software developed by the OpenSSL Project | |
| 76 * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" | |
| 77 * | |
| 78 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to | |
| 79 * endorse or promote products derived from this software without | |
| 80 * prior written permission. For written permission, please contact | |
| 81 * openssl-core@openssl.org. | |
| 82 * | |
| 83 * 5. Products derived from this software may not be called "OpenSSL" | |
| 84 * nor may "OpenSSL" appear in their names without prior written | |
| 85 * permission of the OpenSSL Project. | |
| 86 * | |
| 87 * 6. Redistributions of any form whatsoever must retain the following | |
| 88 * acknowledgment: | |
| 89 * "This product includes software developed by the OpenSSL Project | |
| 90 * for use in the OpenSSL Toolkit (http://www.openssl.org/)" | |
| 91 * | |
| 92 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY | |
| 93 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE | |
| 94 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR | |
| 95 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR | |
| 96 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, | |
| 97 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT | |
| 98 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; | |
| 99 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) | |
| 100 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, | |
| 101 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) | |
| 102 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED | |
| 103 * OF THE POSSIBILITY OF SUCH DAMAGE. | |
| 104 * ==================================================================== | |
| 105 * | |
| 106 * This product includes cryptographic software written by Eric Young | |
| 107 * (eay@cryptsoft.com). This product includes software written by Tim | |
| 108 * Hudson (tjh@cryptsoft.com). | |
| 109 * | |
| 110 */ | |
| 111 | |
| 112 #ifndef HEADER_BN_LCL_H | |
| 113 #define HEADER_BN_LCL_H | |
| 114 | |
| 115 #include <openssl/bn.h> | |
| 116 | |
| 117 #ifdef __cplusplus | |
| 118 extern "C" { | |
| 119 #endif | |
| 120 | |
| 121 | |
| 122 /* | |
| 123 * BN_window_bits_for_exponent_size -- macro for sliding window mod_exp function
s | |
| 124 * | |
| 125 * | |
| 126 * For window size 'w' (w >= 2) and a random 'b' bits exponent, | |
| 127 * the number of multiplications is a constant plus on average | |
| 128 * | |
| 129 * 2^(w-1) + (b-w)/(w+1); | |
| 130 * | |
| 131 * here 2^(w-1) is for precomputing the table (we actually need | |
| 132 * entries only for windows that have the lowest bit set), and | |
| 133 * (b-w)/(w+1) is an approximation for the expected number of | |
| 134 * w-bit windows, not counting the first one. | |
| 135 * | |
| 136 * Thus we should use | |
| 137 * | |
| 138 * w >= 6 if b > 671 | |
| 139 * w = 5 if 671 > b > 239 | |
| 140 * w = 4 if 239 > b > 79 | |
| 141 * w = 3 if 79 > b > 23 | |
| 142 * w <= 2 if 23 > b | |
| 143 * | |
| 144 * (with draws in between). Very small exponents are often selected | |
| 145 * with low Hamming weight, so we use w = 1 for b <= 23. | |
| 146 */ | |
| 147 #if 1 | |
| 148 #define BN_window_bits_for_exponent_size(b) \ | |
| 149 ((b) > 671 ? 6 : \ | |
| 150 (b) > 239 ? 5 : \ | |
| 151 (b) > 79 ? 4 : \ | |
| 152 (b) > 23 ? 3 : 1) | |
| 153 #else | |
| 154 /* Old SSLeay/OpenSSL table. | |
| 155 * Maximum window size was 5, so this table differs for b==1024; | |
| 156 * but it coincides for other interesting values (b==160, b==512). | |
| 157 */ | |
| 158 #define BN_window_bits_for_exponent_size(b) \ | |
| 159 ((b) > 255 ? 5 : \ | |
| 160 (b) > 127 ? 4 : \ | |
| 161 (b) > 17 ? 3 : 1) | |
| 162 #endif | |
| 163 | |
| 164 | |
| 165 | |
| 166 /* BN_mod_exp_mont_conttime is based on the assumption that the | |
| 167 * L1 data cache line width of the target processor is at least | |
| 168 * the following value. | |
| 169 */ | |
| 170 #define MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH ( 64 ) | |
| 171 #define MOD_EXP_CTIME_MIN_CACHE_LINE_MASK (MOD_EXP_CTIME_MIN_CACHE_LINE_WI
DTH - 1) | |
| 172 | |
| 173 /* Window sizes optimized for fixed window size modular exponentiation | |
| 174 * algorithm (BN_mod_exp_mont_consttime). | |
| 175 * | |
| 176 * To achieve the security goals of BN_mode_exp_mont_consttime, the | |
| 177 * maximum size of the window must not exceed | |
| 178 * log_2(MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH). | |
| 179 * | |
| 180 * Window size thresholds are defined for cache line sizes of 32 and 64, | |
| 181 * cache line sizes where log_2(32)=5 and log_2(64)=6 respectively. A | |
| 182 * window size of 7 should only be used on processors that have a 128 | |
| 183 * byte or greater cache line size. | |
| 184 */ | |
| 185 #if MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH == 64 | |
| 186 | |
| 187 # define BN_window_bits_for_ctime_exponent_size(b) \ | |
| 188 ((b) > 937 ? 6 : \ | |
| 189 (b) > 306 ? 5 : \ | |
| 190 (b) > 89 ? 4 : \ | |
| 191 (b) > 22 ? 3 : 1) | |
| 192 # define BN_MAX_WINDOW_BITS_FOR_CTIME_EXPONENT_SIZE (6) | |
| 193 | |
| 194 #elif MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH == 32 | |
| 195 | |
| 196 # define BN_window_bits_for_ctime_exponent_size(b) \ | |
| 197 ((b) > 306 ? 5 : \ | |
| 198 (b) > 89 ? 4 : \ | |
| 199 (b) > 22 ? 3 : 1) | |
| 200 # define BN_MAX_WINDOW_BITS_FOR_CTIME_EXPONENT_SIZE (5) | |
| 201 | |
| 202 #endif | |
| 203 | |
| 204 | |
| 205 /* Pentium pro 16,16,16,32,64 */ | |
| 206 /* Alpha 16,16,16,16.64 */ | |
| 207 #define BN_MULL_SIZE_NORMAL (16) /* 32 */ | |
| 208 #define BN_MUL_RECURSIVE_SIZE_NORMAL (16) /* 32 less than */ | |
| 209 #define BN_SQR_RECURSIVE_SIZE_NORMAL (16) /* 32 */ | |
| 210 #define BN_MUL_LOW_RECURSIVE_SIZE_NORMAL (32) /* 32 */ | |
| 211 #define BN_MONT_CTX_SET_SIZE_WORD (64) /* 32 */ | |
| 212 | |
| 213 #if !defined(OPENSSL_NO_ASM) && !defined(OPENSSL_NO_INLINE_ASM) && !defined(PEDA
NTIC) | |
| 214 /* | |
| 215 * BN_UMULT_HIGH section. | |
| 216 * | |
| 217 * No, I'm not trying to overwhelm you when stating that the | |
| 218 * product of N-bit numbers is 2*N bits wide:-) No, I don't expect | |
| 219 * you to be impressed when I say that if the compiler doesn't | |
| 220 * support 2*N integer type, then you have to replace every N*N | |
| 221 * multiplication with 4 (N/2)*(N/2) accompanied by some shifts | |
| 222 * and additions which unavoidably results in severe performance | |
| 223 * penalties. Of course provided that the hardware is capable of | |
| 224 * producing 2*N result... That's when you normally start | |
| 225 * considering assembler implementation. However! It should be | |
| 226 * pointed out that some CPUs (most notably Alpha, PowerPC and | |
| 227 * upcoming IA-64 family:-) provide *separate* instruction | |
| 228 * calculating the upper half of the product placing the result | |
| 229 * into a general purpose register. Now *if* the compiler supports | |
| 230 * inline assembler, then it's not impossible to implement the | |
| 231 * "bignum" routines (and have the compiler optimize 'em) | |
| 232 * exhibiting "native" performance in C. That's what BN_UMULT_HIGH | |
| 233 * macro is about:-) | |
| 234 * | |
| 235 * <appro@fy.chalmers.se> | |
| 236 */ | |
| 237 # if defined(__alpha) && (defined(SIXTY_FOUR_BIT_LONG) || defined(SIXTY_FOUR_BIT
)) | |
| 238 # if defined(__DECC) | |
| 239 # include <c_asm.h> | |
| 240 # define BN_UMULT_HIGH(a,b) (BN_ULONG)asm("umulh %a0,%a1,%v0",(a),(b)) | |
| 241 # elif defined(__GNUC__) && __GNUC__>=2 | |
| 242 # define BN_UMULT_HIGH(a,b) ({ \ | |
| 243 register BN_ULONG ret; \ | |
| 244 asm ("umulh %1,%2,%0" \ | |
| 245 : "=r"(ret) \ | |
| 246 : "r"(a), "r"(b)); \ | |
| 247 ret; }) | |
| 248 # endif /* compiler */ | |
| 249 # elif defined(_ARCH_PPC) && defined(__64BIT__) && defined(SIXTY_FOUR_BIT_LONG) | |
| 250 # if defined(__GNUC__) && __GNUC__>=2 | |
| 251 # define BN_UMULT_HIGH(a,b) ({ \ | |
| 252 register BN_ULONG ret; \ | |
| 253 asm ("mulhdu %0,%1,%2" \ | |
| 254 : "=r"(ret) \ | |
| 255 : "r"(a), "r"(b)); \ | |
| 256 ret; }) | |
| 257 # endif /* compiler */ | |
| 258 # elif (defined(__x86_64) || defined(__x86_64__)) && \ | |
| 259 (defined(SIXTY_FOUR_BIT_LONG) || defined(SIXTY_FOUR_BIT)) | |
| 260 # if defined(__GNUC__) && __GNUC__>=2 | |
| 261 # define BN_UMULT_HIGH(a,b) ({ \ | |
| 262 register BN_ULONG ret,discard; \ | |
| 263 asm ("mulq %3" \ | |
| 264 : "=a"(discard),"=d"(ret) \ | |
| 265 : "a"(a), "g"(b) \ | |
| 266 : "cc"); \ | |
| 267 ret; }) | |
| 268 # define BN_UMULT_LOHI(low,high,a,b) \ | |
| 269 asm ("mulq %3" \ | |
| 270 : "=a"(low),"=d"(high) \ | |
| 271 : "a"(a),"g"(b) \ | |
| 272 : "cc"); | |
| 273 # endif | |
| 274 # elif (defined(_M_AMD64) || defined(_M_X64)) && defined(SIXTY_FOUR_BIT) | |
| 275 # if defined(_MSC_VER) && _MSC_VER>=1400 | |
| 276 unsigned __int64 __umulh (unsigned __int64 a,unsigned __int64 b); | |
| 277 unsigned __int64 _umul128 (unsigned __int64 a,unsigned __int64 b, | |
| 278 unsigned __int64 *h); | |
| 279 # pragma intrinsic(__umulh,_umul128) | |
| 280 # define BN_UMULT_HIGH(a,b) __umulh((a),(b)) | |
| 281 # define BN_UMULT_LOHI(low,high,a,b) ((low)=_umul128((a),(b),&(high))) | |
| 282 # endif | |
| 283 # elif defined(__mips) && (defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LON
G)) | |
| 284 # if defined(__GNUC__) && __GNUC__>=2 | |
| 285 # if __GNUC__>=4 && __GNUC_MINOR__>=4 /* "h" constraint is no more since 4.4 *
/ | |
| 286 # define BN_UMULT_HIGH(a,b) (((__uint128_t)(a)*(b))>>64) | |
| 287 # define BN_UMULT_LOHI(low,high,a,b) ({ \ | |
| 288 __uint128_t ret=(__uint128_t)(a)*(b); \ | |
| 289 (high)=ret>>64; (low)=ret; }) | |
| 290 # else | |
| 291 # define BN_UMULT_HIGH(a,b) ({ \ | |
| 292 register BN_ULONG ret; \ | |
| 293 asm ("dmultu %1,%2" \ | |
| 294 : "=h"(ret) \ | |
| 295 : "r"(a), "r"(b) : "l"); \ | |
| 296 ret; }) | |
| 297 # define BN_UMULT_LOHI(low,high,a,b)\ | |
| 298 asm ("dmultu %2,%3" \ | |
| 299 : "=l"(low),"=h"(high) \ | |
| 300 : "r"(a), "r"(b)); | |
| 301 # endif | |
| 302 # endif | |
| 303 # endif /* cpu */ | |
| 304 #endif /* OPENSSL_NO_ASM */ | |
| 305 | |
| 306 /************************************************************* | |
| 307 * Using the long long type | |
| 308 */ | |
| 309 #define Lw(t) (((BN_ULONG)(t))&BN_MASK2) | |
| 310 #define Hw(t) (((BN_ULONG)((t)>>BN_BITS2))&BN_MASK2) | |
| 311 | |
| 312 #ifdef BN_DEBUG_RAND | |
| 313 #define bn_clear_top2max(a) \ | |
| 314 { \ | |
| 315 int ind = (a)->dmax - (a)->top; \ | |
| 316 BN_ULONG *ftl = &(a)->d[(a)->top-1]; \ | |
| 317 for (; ind != 0; ind--) \ | |
| 318 *(++ftl) = 0x0; \ | |
| 319 } | |
| 320 #else | |
| 321 #define bn_clear_top2max(a) | |
| 322 #endif | |
| 323 | |
| 324 #ifdef BN_LLONG | |
| 325 #define mul_add(r,a,w,c) { \ | |
| 326 BN_ULLONG t; \ | |
| 327 t=(BN_ULLONG)w * (a) + (r) + (c); \ | |
| 328 (r)= Lw(t); \ | |
| 329 (c)= Hw(t); \ | |
| 330 } | |
| 331 | |
| 332 #define mul(r,a,w,c) { \ | |
| 333 BN_ULLONG t; \ | |
| 334 t=(BN_ULLONG)w * (a) + (c); \ | |
| 335 (r)= Lw(t); \ | |
| 336 (c)= Hw(t); \ | |
| 337 } | |
| 338 | |
| 339 #define sqr(r0,r1,a) { \ | |
| 340 BN_ULLONG t; \ | |
| 341 t=(BN_ULLONG)(a)*(a); \ | |
| 342 (r0)=Lw(t); \ | |
| 343 (r1)=Hw(t); \ | |
| 344 } | |
| 345 | |
| 346 #elif defined(BN_UMULT_LOHI) | |
| 347 #define mul_add(r,a,w,c) { \ | |
| 348 BN_ULONG high,low,ret,tmp=(a); \ | |
| 349 ret = (r); \ | |
| 350 BN_UMULT_LOHI(low,high,w,tmp); \ | |
| 351 ret += (c); \ | |
| 352 (c) = (ret<(c))?1:0; \ | |
| 353 (c) += high; \ | |
| 354 ret += low; \ | |
| 355 (c) += (ret<low)?1:0; \ | |
| 356 (r) = ret; \ | |
| 357 } | |
| 358 | |
| 359 #define mul(r,a,w,c) { \ | |
| 360 BN_ULONG high,low,ret,ta=(a); \ | |
| 361 BN_UMULT_LOHI(low,high,w,ta); \ | |
| 362 ret = low + (c); \ | |
| 363 (c) = high; \ | |
| 364 (c) += (ret<low)?1:0; \ | |
| 365 (r) = ret; \ | |
| 366 } | |
| 367 | |
| 368 #define sqr(r0,r1,a) { \ | |
| 369 BN_ULONG tmp=(a); \ | |
| 370 BN_UMULT_LOHI(r0,r1,tmp,tmp); \ | |
| 371 } | |
| 372 | |
| 373 #elif defined(BN_UMULT_HIGH) | |
| 374 #define mul_add(r,a,w,c) { \ | |
| 375 BN_ULONG high,low,ret,tmp=(a); \ | |
| 376 ret = (r); \ | |
| 377 high= BN_UMULT_HIGH(w,tmp); \ | |
| 378 ret += (c); \ | |
| 379 low = (w) * tmp; \ | |
| 380 (c) = (ret<(c))?1:0; \ | |
| 381 (c) += high; \ | |
| 382 ret += low; \ | |
| 383 (c) += (ret<low)?1:0; \ | |
| 384 (r) = ret; \ | |
| 385 } | |
| 386 | |
| 387 #define mul(r,a,w,c) { \ | |
| 388 BN_ULONG high,low,ret,ta=(a); \ | |
| 389 low = (w) * ta; \ | |
| 390 high= BN_UMULT_HIGH(w,ta); \ | |
| 391 ret = low + (c); \ | |
| 392 (c) = high; \ | |
| 393 (c) += (ret<low)?1:0; \ | |
| 394 (r) = ret; \ | |
| 395 } | |
| 396 | |
| 397 #define sqr(r0,r1,a) { \ | |
| 398 BN_ULONG tmp=(a); \ | |
| 399 (r0) = tmp * tmp; \ | |
| 400 (r1) = BN_UMULT_HIGH(tmp,tmp); \ | |
| 401 } | |
| 402 | |
| 403 #else | |
| 404 /************************************************************* | |
| 405 * No long long type | |
| 406 */ | |
| 407 | |
| 408 #define LBITS(a) ((a)&BN_MASK2l) | |
| 409 #define HBITS(a) (((a)>>BN_BITS4)&BN_MASK2l) | |
| 410 #define L2HBITS(a) (((a)<<BN_BITS4)&BN_MASK2) | |
| 411 | |
| 412 #define LLBITS(a) ((a)&BN_MASKl) | |
| 413 #define LHBITS(a) (((a)>>BN_BITS2)&BN_MASKl) | |
| 414 #define LL2HBITS(a) ((BN_ULLONG)((a)&BN_MASKl)<<BN_BITS2) | |
| 415 | |
| 416 #define mul64(l,h,bl,bh) \ | |
| 417 { \ | |
| 418 BN_ULONG m,m1,lt,ht; \ | |
| 419 \ | |
| 420 lt=l; \ | |
| 421 ht=h; \ | |
| 422 m =(bh)*(lt); \ | |
| 423 lt=(bl)*(lt); \ | |
| 424 m1=(bl)*(ht); \ | |
| 425 ht =(bh)*(ht); \ | |
| 426 m=(m+m1)&BN_MASK2; if (m < m1) ht+=L2HBITS((BN_ULONG)1); \ | |
| 427 ht+=HBITS(m); \ | |
| 428 m1=L2HBITS(m); \ | |
| 429 lt=(lt+m1)&BN_MASK2; if (lt < m1) ht++; \ | |
| 430 (l)=lt; \ | |
| 431 (h)=ht; \ | |
| 432 } | |
| 433 | |
| 434 #define sqr64(lo,ho,in) \ | |
| 435 { \ | |
| 436 BN_ULONG l,h,m; \ | |
| 437 \ | |
| 438 h=(in); \ | |
| 439 l=LBITS(h); \ | |
| 440 h=HBITS(h); \ | |
| 441 m =(l)*(h); \ | |
| 442 l*=l; \ | |
| 443 h*=h; \ | |
| 444 h+=(m&BN_MASK2h1)>>(BN_BITS4-1); \ | |
| 445 m =(m&BN_MASK2l)<<(BN_BITS4+1); \ | |
| 446 l=(l+m)&BN_MASK2; if (l < m) h++; \ | |
| 447 (lo)=l; \ | |
| 448 (ho)=h; \ | |
| 449 } | |
| 450 | |
| 451 #define mul_add(r,a,bl,bh,c) { \ | |
| 452 BN_ULONG l,h; \ | |
| 453 \ | |
| 454 h= (a); \ | |
| 455 l=LBITS(h); \ | |
| 456 h=HBITS(h); \ | |
| 457 mul64(l,h,(bl),(bh)); \ | |
| 458 \ | |
| 459 /* non-multiply part */ \ | |
| 460 l=(l+(c))&BN_MASK2; if (l < (c)) h++; \ | |
| 461 (c)=(r); \ | |
| 462 l=(l+(c))&BN_MASK2; if (l < (c)) h++; \ | |
| 463 (c)=h&BN_MASK2; \ | |
| 464 (r)=l; \ | |
| 465 } | |
| 466 | |
| 467 #define mul(r,a,bl,bh,c) { \ | |
| 468 BN_ULONG l,h; \ | |
| 469 \ | |
| 470 h= (a); \ | |
| 471 l=LBITS(h); \ | |
| 472 h=HBITS(h); \ | |
| 473 mul64(l,h,(bl),(bh)); \ | |
| 474 \ | |
| 475 /* non-multiply part */ \ | |
| 476 l+=(c); if ((l&BN_MASK2) < (c)) h++; \ | |
| 477 (c)=h&BN_MASK2; \ | |
| 478 (r)=l&BN_MASK2; \ | |
| 479 } | |
| 480 #endif /* !BN_LLONG */ | |
| 481 | |
| 482 #if defined(OPENSSL_DOING_MAKEDEPEND) && defined(OPENSSL_FIPS) | |
| 483 #undef bn_div_words | |
| 484 #endif | |
| 485 | |
| 486 void bn_mul_normal(BN_ULONG *r,BN_ULONG *a,int na,BN_ULONG *b,int nb); | |
| 487 void bn_mul_comba8(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b); | |
| 488 void bn_mul_comba4(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b); | |
| 489 void bn_sqr_normal(BN_ULONG *r, const BN_ULONG *a, int n, BN_ULONG *tmp); | |
| 490 void bn_sqr_comba8(BN_ULONG *r,const BN_ULONG *a); | |
| 491 void bn_sqr_comba4(BN_ULONG *r,const BN_ULONG *a); | |
| 492 int bn_cmp_words(const BN_ULONG *a,const BN_ULONG *b,int n); | |
| 493 int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b, | |
| 494 int cl, int dl); | |
| 495 void bn_mul_recursive(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,int n2, | |
| 496 int dna,int dnb,BN_ULONG *t); | |
| 497 void bn_mul_part_recursive(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b, | |
| 498 int n,int tna,int tnb,BN_ULONG *t); | |
| 499 void bn_sqr_recursive(BN_ULONG *r,const BN_ULONG *a, int n2, BN_ULONG *t); | |
| 500 void bn_mul_low_normal(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b, int n); | |
| 501 void bn_mul_low_recursive(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,int n2, | |
| 502 BN_ULONG *t); | |
| 503 void bn_mul_high(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,BN_ULONG *l,int n2, | |
| 504 BN_ULONG *t); | |
| 505 BN_ULONG bn_add_part_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b, | |
| 506 int cl, int dl); | |
| 507 BN_ULONG bn_sub_part_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b, | |
| 508 int cl, int dl); | |
| 509 int bn_mul_mont(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp, const BN_U
LONG *np,const BN_ULONG *n0, int num); | |
| 510 | |
| 511 #ifdef __cplusplus | |
| 512 } | |
| 513 #endif | |
| 514 | |
| 515 #endif | |
| OLD | NEW |