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Diffstat (limited to 'src/lib/libcrypto/bn/bn_lcl.h')
| -rw-r--r-- | src/lib/libcrypto/bn/bn_lcl.h | 492 |
1 files changed, 492 insertions, 0 deletions
diff --git a/src/lib/libcrypto/bn/bn_lcl.h b/src/lib/libcrypto/bn/bn_lcl.h new file mode 100644 index 0000000000..a84998f2bd --- /dev/null +++ b/src/lib/libcrypto/bn/bn_lcl.h | |||
| @@ -0,0 +1,492 @@ | |||
| 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 | /* Used for temp variables */ | ||
| 123 | #define BN_CTX_NUM 32 | ||
| 124 | #define BN_CTX_NUM_POS 12 | ||
| 125 | struct bignum_ctx | ||
| 126 | { | ||
| 127 | int tos; | ||
| 128 | BIGNUM bn[BN_CTX_NUM]; | ||
| 129 | int flags; | ||
| 130 | int depth; | ||
| 131 | int pos[BN_CTX_NUM_POS]; | ||
| 132 | int too_many; | ||
| 133 | } /* BN_CTX */; | ||
| 134 | |||
| 135 | |||
| 136 | /* | ||
| 137 | * BN_window_bits_for_exponent_size -- macro for sliding window mod_exp functions | ||
| 138 | * | ||
| 139 | * | ||
| 140 | * For window size 'w' (w >= 2) and a random 'b' bits exponent, | ||
| 141 | * the number of multiplications is a constant plus on average | ||
| 142 | * | ||
| 143 | * 2^(w-1) + (b-w)/(w+1); | ||
| 144 | * | ||
| 145 | * here 2^(w-1) is for precomputing the table (we actually need | ||
| 146 | * entries only for windows that have the lowest bit set), and | ||
| 147 | * (b-w)/(w+1) is an approximation for the expected number of | ||
| 148 | * w-bit windows, not counting the first one. | ||
| 149 | * | ||
| 150 | * Thus we should use | ||
| 151 | * | ||
| 152 | * w >= 6 if b > 671 | ||
| 153 | * w = 5 if 671 > b > 239 | ||
| 154 | * w = 4 if 239 > b > 79 | ||
| 155 | * w = 3 if 79 > b > 23 | ||
| 156 | * w <= 2 if 23 > b | ||
| 157 | * | ||
| 158 | * (with draws in between). Very small exponents are often selected | ||
| 159 | * with low Hamming weight, so we use w = 1 for b <= 23. | ||
| 160 | */ | ||
| 161 | #if 1 | ||
| 162 | #define BN_window_bits_for_exponent_size(b) \ | ||
| 163 | ((b) > 671 ? 6 : \ | ||
| 164 | (b) > 239 ? 5 : \ | ||
| 165 | (b) > 79 ? 4 : \ | ||
| 166 | (b) > 23 ? 3 : 1) | ||
| 167 | #else | ||
| 168 | /* Old SSLeay/OpenSSL table. | ||
| 169 | * Maximum window size was 5, so this table differs for b==1024; | ||
| 170 | * but it coincides for other interesting values (b==160, b==512). | ||
| 171 | */ | ||
| 172 | #define BN_window_bits_for_exponent_size(b) \ | ||
| 173 | ((b) > 255 ? 5 : \ | ||
| 174 | (b) > 127 ? 4 : \ | ||
| 175 | (b) > 17 ? 3 : 1) | ||
| 176 | #endif | ||
| 177 | |||
| 178 | |||
| 179 | |||
| 180 | /* BN_mod_exp_mont_conttime is based on the assumption that the | ||
| 181 | * L1 data cache line width of the target processor is at least | ||
| 182 | * the following value. | ||
| 183 | */ | ||
| 184 | #define MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH ( 64 ) | ||
| 185 | #define MOD_EXP_CTIME_MIN_CACHE_LINE_MASK (MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH - 1) | ||
| 186 | |||
| 187 | /* Window sizes optimized for fixed window size modular exponentiation | ||
| 188 | * algorithm (BN_mod_exp_mont_consttime). | ||
| 189 | * | ||
| 190 | * To achieve the security goals of BN_mode_exp_mont_consttime, the | ||
| 191 | * maximum size of the window must not exceed | ||
| 192 | * log_2(MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH). | ||
| 193 | * | ||
| 194 | * Window size thresholds are defined for cache line sizes of 32 and 64, | ||
| 195 | * cache line sizes where log_2(32)=5 and log_2(64)=6 respectively. A | ||
| 196 | * window size of 7 should only be used on processors that have a 128 | ||
| 197 | * byte or greater cache line size. | ||
| 198 | */ | ||
| 199 | #if MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH == 64 | ||
| 200 | |||
| 201 | # define BN_window_bits_for_ctime_exponent_size(b) \ | ||
| 202 | ((b) > 937 ? 6 : \ | ||
| 203 | (b) > 306 ? 5 : \ | ||
| 204 | (b) > 89 ? 4 : \ | ||
| 205 | (b) > 22 ? 3 : 1) | ||
| 206 | # define BN_MAX_WINDOW_BITS_FOR_CTIME_EXPONENT_SIZE (6) | ||
| 207 | |||
| 208 | #elif MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH == 32 | ||
| 209 | |||
| 210 | # define BN_window_bits_for_ctime_exponent_size(b) \ | ||
| 211 | ((b) > 306 ? 5 : \ | ||
| 212 | (b) > 89 ? 4 : \ | ||
| 213 | (b) > 22 ? 3 : 1) | ||
| 214 | # define BN_MAX_WINDOW_BITS_FOR_CTIME_EXPONENT_SIZE (5) | ||
| 215 | |||
| 216 | #endif | ||
| 217 | |||
| 218 | |||
| 219 | /* Pentium pro 16,16,16,32,64 */ | ||
| 220 | /* Alpha 16,16,16,16.64 */ | ||
| 221 | #define BN_MULL_SIZE_NORMAL (16) /* 32 */ | ||
| 222 | #define BN_MUL_RECURSIVE_SIZE_NORMAL (16) /* 32 less than */ | ||
| 223 | #define BN_SQR_RECURSIVE_SIZE_NORMAL (16) /* 32 */ | ||
| 224 | #define BN_MUL_LOW_RECURSIVE_SIZE_NORMAL (32) /* 32 */ | ||
| 225 | #define BN_MONT_CTX_SET_SIZE_WORD (64) /* 32 */ | ||
| 226 | |||
| 227 | #if !defined(OPENSSL_NO_ASM) && !defined(OPENSSL_NO_INLINE_ASM) && !defined(PEDANTIC) | ||
| 228 | /* | ||
| 229 | * BN_UMULT_HIGH section. | ||
| 230 | * | ||
| 231 | * No, I'm not trying to overwhelm you when stating that the | ||
| 232 | * product of N-bit numbers is 2*N bits wide:-) No, I don't expect | ||
| 233 | * you to be impressed when I say that if the compiler doesn't | ||
| 234 | * support 2*N integer type, then you have to replace every N*N | ||
| 235 | * multiplication with 4 (N/2)*(N/2) accompanied by some shifts | ||
| 236 | * and additions which unavoidably results in severe performance | ||
| 237 | * penalties. Of course provided that the hardware is capable of | ||
| 238 | * producing 2*N result... That's when you normally start | ||
| 239 | * considering assembler implementation. However! It should be | ||
| 240 | * pointed out that some CPUs (most notably Alpha, PowerPC and | ||
| 241 | * upcoming IA-64 family:-) provide *separate* instruction | ||
| 242 | * calculating the upper half of the product placing the result | ||
| 243 | * into a general purpose register. Now *if* the compiler supports | ||
| 244 | * inline assembler, then it's not impossible to implement the | ||
| 245 | * "bignum" routines (and have the compiler optimize 'em) | ||
| 246 | * exhibiting "native" performance in C. That's what BN_UMULT_HIGH | ||
| 247 | * macro is about:-) | ||
| 248 | * | ||
| 249 | * <appro@fy.chalmers.se> | ||
| 250 | */ | ||
| 251 | # if defined(__alpha) && (defined(SIXTY_FOUR_BIT_LONG) || defined(SIXTY_FOUR_BIT)) | ||
| 252 | # if defined(__DECC) | ||
| 253 | # include <c_asm.h> | ||
| 254 | # define BN_UMULT_HIGH(a,b) (BN_ULONG)asm("umulh %a0,%a1,%v0",(a),(b)) | ||
| 255 | # elif defined(__GNUC__) | ||
| 256 | # define BN_UMULT_HIGH(a,b) ({ \ | ||
| 257 | register BN_ULONG ret; \ | ||
| 258 | asm ("umulh %1,%2,%0" \ | ||
| 259 | : "=r"(ret) \ | ||
| 260 | : "r"(a), "r"(b)); \ | ||
| 261 | ret; }) | ||
| 262 | # endif /* compiler */ | ||
| 263 | # elif defined(_ARCH_PPC) && defined(__64BIT__) && defined(SIXTY_FOUR_BIT_LONG) | ||
| 264 | # if defined(__GNUC__) | ||
| 265 | # define BN_UMULT_HIGH(a,b) ({ \ | ||
| 266 | register BN_ULONG ret; \ | ||
| 267 | asm ("mulhdu %0,%1,%2" \ | ||
| 268 | : "=r"(ret) \ | ||
| 269 | : "r"(a), "r"(b)); \ | ||
| 270 | ret; }) | ||
| 271 | # endif /* compiler */ | ||
| 272 | # elif defined(__x86_64) && defined(SIXTY_FOUR_BIT_LONG) | ||
| 273 | # if defined(__GNUC__) | ||
| 274 | # define BN_UMULT_HIGH(a,b) ({ \ | ||
| 275 | register BN_ULONG ret,discard; \ | ||
| 276 | asm ("mulq %3" \ | ||
| 277 | : "=a"(discard),"=d"(ret) \ | ||
| 278 | : "a"(a), "g"(b) \ | ||
| 279 | : "cc"); \ | ||
| 280 | ret; }) | ||
| 281 | # define BN_UMULT_LOHI(low,high,a,b) \ | ||
| 282 | asm ("mulq %3" \ | ||
| 283 | : "=a"(low),"=d"(high) \ | ||
| 284 | : "a"(a),"g"(b) \ | ||
| 285 | : "cc"); | ||
| 286 | # endif | ||
| 287 | # endif /* cpu */ | ||
| 288 | #endif /* OPENSSL_NO_ASM */ | ||
| 289 | |||
| 290 | /************************************************************* | ||
| 291 | * Using the long long type | ||
| 292 | */ | ||
| 293 | #define Lw(t) (((BN_ULONG)(t))&BN_MASK2) | ||
| 294 | #define Hw(t) (((BN_ULONG)((t)>>BN_BITS2))&BN_MASK2) | ||
| 295 | |||
| 296 | /* This is used for internal error checking and is not normally used */ | ||
| 297 | #ifdef BN_DEBUG | ||
| 298 | # include <assert.h> | ||
| 299 | # define bn_check_top(a) assert ((a)->top >= 0 && (a)->top <= (a)->dmax); | ||
| 300 | #else | ||
| 301 | # define bn_check_top(a) | ||
| 302 | #endif | ||
| 303 | |||
| 304 | /* This macro is to add extra stuff for development checking */ | ||
| 305 | #ifdef BN_DEBUG | ||
| 306 | #define bn_set_max(r) ((r)->max=(r)->top,BN_set_flags((r),BN_FLG_STATIC_DATA)) | ||
| 307 | #else | ||
| 308 | #define bn_set_max(r) | ||
| 309 | #endif | ||
| 310 | |||
| 311 | /* These macros are used to 'take' a section of a bignum for read only use */ | ||
| 312 | #define bn_set_low(r,a,n) \ | ||
| 313 | { \ | ||
| 314 | (r)->top=((a)->top > (n))?(n):(a)->top; \ | ||
| 315 | (r)->d=(a)->d; \ | ||
| 316 | (r)->neg=(a)->neg; \ | ||
| 317 | (r)->flags|=BN_FLG_STATIC_DATA; \ | ||
| 318 | bn_set_max(r); \ | ||
| 319 | } | ||
| 320 | |||
| 321 | #define bn_set_high(r,a,n) \ | ||
| 322 | { \ | ||
| 323 | if ((a)->top > (n)) \ | ||
| 324 | { \ | ||
| 325 | (r)->top=(a)->top-n; \ | ||
| 326 | (r)->d= &((a)->d[n]); \ | ||
| 327 | } \ | ||
| 328 | else \ | ||
| 329 | (r)->top=0; \ | ||
| 330 | (r)->neg=(a)->neg; \ | ||
| 331 | (r)->flags|=BN_FLG_STATIC_DATA; \ | ||
| 332 | bn_set_max(r); \ | ||
| 333 | } | ||
| 334 | |||
| 335 | #ifdef BN_LLONG | ||
| 336 | #define mul_add(r,a,w,c) { \ | ||
| 337 | BN_ULLONG t; \ | ||
| 338 | t=(BN_ULLONG)w * (a) + (r) + (c); \ | ||
| 339 | (r)= Lw(t); \ | ||
| 340 | (c)= Hw(t); \ | ||
| 341 | } | ||
| 342 | |||
| 343 | #define mul(r,a,w,c) { \ | ||
| 344 | BN_ULLONG t; \ | ||
| 345 | t=(BN_ULLONG)w * (a) + (c); \ | ||
| 346 | (r)= Lw(t); \ | ||
| 347 | (c)= Hw(t); \ | ||
| 348 | } | ||
| 349 | |||
| 350 | #define sqr(r0,r1,a) { \ | ||
| 351 | BN_ULLONG t; \ | ||
| 352 | t=(BN_ULLONG)(a)*(a); \ | ||
| 353 | (r0)=Lw(t); \ | ||
| 354 | (r1)=Hw(t); \ | ||
| 355 | } | ||
| 356 | |||
| 357 | #elif defined(BN_UMULT_HIGH) | ||
| 358 | #define mul_add(r,a,w,c) { \ | ||
| 359 | BN_ULONG high,low,ret,tmp=(a); \ | ||
| 360 | ret = (r); \ | ||
| 361 | high= BN_UMULT_HIGH(w,tmp); \ | ||
| 362 | ret += (c); \ | ||
| 363 | low = (w) * tmp; \ | ||
| 364 | (c) = (ret<(c))?1:0; \ | ||
| 365 | (c) += high; \ | ||
| 366 | ret += low; \ | ||
| 367 | (c) += (ret<low)?1:0; \ | ||
| 368 | (r) = ret; \ | ||
| 369 | } | ||
| 370 | |||
| 371 | #define mul(r,a,w,c) { \ | ||
| 372 | BN_ULONG high,low,ret,ta=(a); \ | ||
| 373 | low = (w) * ta; \ | ||
| 374 | high= BN_UMULT_HIGH(w,ta); \ | ||
| 375 | ret = low + (c); \ | ||
| 376 | (c) = high; \ | ||
| 377 | (c) += (ret<low)?1:0; \ | ||
| 378 | (r) = ret; \ | ||
| 379 | } | ||
| 380 | |||
| 381 | #define sqr(r0,r1,a) { \ | ||
| 382 | BN_ULONG tmp=(a); \ | ||
| 383 | (r0) = tmp * tmp; \ | ||
| 384 | (r1) = BN_UMULT_HIGH(tmp,tmp); \ | ||
| 385 | } | ||
| 386 | |||
| 387 | #else | ||
| 388 | /************************************************************* | ||
| 389 | * No long long type | ||
| 390 | */ | ||
| 391 | |||
| 392 | #define LBITS(a) ((a)&BN_MASK2l) | ||
| 393 | #define HBITS(a) (((a)>>BN_BITS4)&BN_MASK2l) | ||
| 394 | #define L2HBITS(a) (((a)<<BN_BITS4)&BN_MASK2) | ||
| 395 | |||
| 396 | #define LLBITS(a) ((a)&BN_MASKl) | ||
| 397 | #define LHBITS(a) (((a)>>BN_BITS2)&BN_MASKl) | ||
| 398 | #define LL2HBITS(a) ((BN_ULLONG)((a)&BN_MASKl)<<BN_BITS2) | ||
| 399 | |||
| 400 | #define mul64(l,h,bl,bh) \ | ||
| 401 | { \ | ||
| 402 | BN_ULONG m,m1,lt,ht; \ | ||
| 403 | \ | ||
| 404 | lt=l; \ | ||
| 405 | ht=h; \ | ||
| 406 | m =(bh)*(lt); \ | ||
| 407 | lt=(bl)*(lt); \ | ||
| 408 | m1=(bl)*(ht); \ | ||
| 409 | ht =(bh)*(ht); \ | ||
| 410 | m=(m+m1)&BN_MASK2; if (m < m1) ht+=L2HBITS((BN_ULONG)1); \ | ||
| 411 | ht+=HBITS(m); \ | ||
| 412 | m1=L2HBITS(m); \ | ||
| 413 | lt=(lt+m1)&BN_MASK2; if (lt < m1) ht++; \ | ||
| 414 | (l)=lt; \ | ||
| 415 | (h)=ht; \ | ||
| 416 | } | ||
| 417 | |||
| 418 | #define sqr64(lo,ho,in) \ | ||
| 419 | { \ | ||
| 420 | BN_ULONG l,h,m; \ | ||
| 421 | \ | ||
| 422 | h=(in); \ | ||
| 423 | l=LBITS(h); \ | ||
| 424 | h=HBITS(h); \ | ||
| 425 | m =(l)*(h); \ | ||
| 426 | l*=l; \ | ||
| 427 | h*=h; \ | ||
| 428 | h+=(m&BN_MASK2h1)>>(BN_BITS4-1); \ | ||
| 429 | m =(m&BN_MASK2l)<<(BN_BITS4+1); \ | ||
| 430 | l=(l+m)&BN_MASK2; if (l < m) h++; \ | ||
| 431 | (lo)=l; \ | ||
| 432 | (ho)=h; \ | ||
| 433 | } | ||
| 434 | |||
| 435 | #define mul_add(r,a,bl,bh,c) { \ | ||
| 436 | BN_ULONG l,h; \ | ||
| 437 | \ | ||
| 438 | h= (a); \ | ||
| 439 | l=LBITS(h); \ | ||
| 440 | h=HBITS(h); \ | ||
| 441 | mul64(l,h,(bl),(bh)); \ | ||
| 442 | \ | ||
| 443 | /* non-multiply part */ \ | ||
| 444 | l=(l+(c))&BN_MASK2; if (l < (c)) h++; \ | ||
| 445 | (c)=(r); \ | ||
| 446 | l=(l+(c))&BN_MASK2; if (l < (c)) h++; \ | ||
| 447 | (c)=h&BN_MASK2; \ | ||
| 448 | (r)=l; \ | ||
| 449 | } | ||
| 450 | |||
| 451 | #define mul(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+=(c); if ((l&BN_MASK2) < (c)) h++; \ | ||
| 461 | (c)=h&BN_MASK2; \ | ||
| 462 | (r)=l&BN_MASK2; \ | ||
| 463 | } | ||
| 464 | #endif /* !BN_LLONG */ | ||
| 465 | |||
| 466 | void bn_mul_normal(BN_ULONG *r,BN_ULONG *a,int na,BN_ULONG *b,int nb); | ||
| 467 | void bn_mul_comba8(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b); | ||
| 468 | void bn_mul_comba4(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b); | ||
| 469 | void bn_sqr_normal(BN_ULONG *r, const BN_ULONG *a, int n, BN_ULONG *tmp); | ||
| 470 | void bn_sqr_comba8(BN_ULONG *r,const BN_ULONG *a); | ||
| 471 | void bn_sqr_comba4(BN_ULONG *r,const BN_ULONG *a); | ||
| 472 | int bn_cmp_words(const BN_ULONG *a,const BN_ULONG *b,int n); | ||
| 473 | int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b, | ||
| 474 | int cl, int dl); | ||
| 475 | #ifdef BN_RECURSION | ||
| 476 | void bn_mul_recursive(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n2, | ||
| 477 | BN_ULONG *t); | ||
| 478 | void bn_mul_part_recursive(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int tn, | ||
| 479 | int n, BN_ULONG *t); | ||
| 480 | void bn_mul_low_recursive(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,int n2, | ||
| 481 | BN_ULONG *t); | ||
| 482 | void bn_mul_high(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,BN_ULONG *l,int n2, | ||
| 483 | BN_ULONG *t); | ||
| 484 | void bn_sqr_recursive(BN_ULONG *r,const BN_ULONG *a, int n2, BN_ULONG *t); | ||
| 485 | #endif | ||
| 486 | void bn_mul_low_normal(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b, int n); | ||
| 487 | |||
| 488 | #ifdef __cplusplus | ||
| 489 | } | ||
| 490 | #endif | ||
| 491 | |||
| 492 | #endif | ||
