| 1 | /* |
| 2 | * Copyright 2002-2018 The OpenSSL Project Authors. All Rights Reserved. |
| 3 | * |
| 4 | * Licensed under the Apache License 2.0 (the "License"). You may not use |
| 5 | * this file except in compliance with the License. You can obtain a copy |
| 6 | * in the file LICENSE in the source distribution or at |
| 7 | * https://www.openssl.org/source/license.html |
| 8 | */ |
| 9 | |
| 10 | #include "../bn_local.h" |
| 11 | #if !(defined(__GNUC__) && __GNUC__>=2) |
| 12 | # include "../bn_asm.c" /* kind of dirty hack for Sun Studio */ |
| 13 | #else |
| 14 | /*- |
| 15 | * x86_64 BIGNUM accelerator version 0.1, December 2002. |
| 16 | * |
| 17 | * Implemented by Andy Polyakov <appro@openssl.org> for the OpenSSL |
| 18 | * project. |
| 19 | * |
| 20 | * Rights for redistribution and usage in source and binary forms are |
| 21 | * granted according to the License. Warranty of any kind is disclaimed. |
| 22 | * |
| 23 | * Q. Version 0.1? It doesn't sound like Andy, he used to assign real |
| 24 | * versions, like 1.0... |
| 25 | * A. Well, that's because this code is basically a quick-n-dirty |
| 26 | * proof-of-concept hack. As you can see it's implemented with |
| 27 | * inline assembler, which means that you're bound to GCC and that |
| 28 | * there might be enough room for further improvement. |
| 29 | * |
| 30 | * Q. Why inline assembler? |
| 31 | * A. x86_64 features own ABI which I'm not familiar with. This is |
| 32 | * why I decided to let the compiler take care of subroutine |
| 33 | * prologue/epilogue as well as register allocation. For reference. |
| 34 | * Win64 implements different ABI for AMD64, different from Linux. |
| 35 | * |
| 36 | * Q. How much faster does it get? |
| 37 | * A. 'apps/openssl speed rsa dsa' output with no-asm: |
| 38 | * |
| 39 | * sign verify sign/s verify/s |
| 40 | * rsa 512 bits 0.0006s 0.0001s 1683.8 18456.2 |
| 41 | * rsa 1024 bits 0.0028s 0.0002s 356.0 6407.0 |
| 42 | * rsa 2048 bits 0.0172s 0.0005s 58.0 1957.8 |
| 43 | * rsa 4096 bits 0.1155s 0.0018s 8.7 555.6 |
| 44 | * sign verify sign/s verify/s |
| 45 | * dsa 512 bits 0.0005s 0.0006s 2100.8 1768.3 |
| 46 | * dsa 1024 bits 0.0014s 0.0018s 692.3 559.2 |
| 47 | * dsa 2048 bits 0.0049s 0.0061s 204.7 165.0 |
| 48 | * |
| 49 | * 'apps/openssl speed rsa dsa' output with this module: |
| 50 | * |
| 51 | * sign verify sign/s verify/s |
| 52 | * rsa 512 bits 0.0004s 0.0000s 2767.1 33297.9 |
| 53 | * rsa 1024 bits 0.0012s 0.0001s 867.4 14674.7 |
| 54 | * rsa 2048 bits 0.0061s 0.0002s 164.0 5270.0 |
| 55 | * rsa 4096 bits 0.0384s 0.0006s 26.1 1650.8 |
| 56 | * sign verify sign/s verify/s |
| 57 | * dsa 512 bits 0.0002s 0.0003s 4442.2 3786.3 |
| 58 | * dsa 1024 bits 0.0005s 0.0007s 1835.1 1497.4 |
| 59 | * dsa 2048 bits 0.0016s 0.0020s 620.4 504.6 |
| 60 | * |
| 61 | * For the reference. IA-32 assembler implementation performs |
| 62 | * very much like 64-bit code compiled with no-asm on the same |
| 63 | * machine. |
| 64 | */ |
| 65 | |
| 66 | # undef mul |
| 67 | # undef mul_add |
| 68 | |
| 69 | /*- |
| 70 | * "m"(a), "+m"(r) is the way to favor DirectPath ยต-code; |
| 71 | * "g"(0) let the compiler to decide where does it |
| 72 | * want to keep the value of zero; |
| 73 | */ |
| 74 | # define mul_add(r,a,word,carry) do { \ |
| 75 | register BN_ULONG high,low; \ |
| 76 | asm ("mulq %3" \ |
| 77 | : "=a"(low),"=d"(high) \ |
| 78 | : "a"(word),"m"(a) \ |
| 79 | : "cc"); \ |
| 80 | asm ("addq %2,%0; adcq %3,%1" \ |
| 81 | : "+r"(carry),"+d"(high)\ |
| 82 | : "a"(low),"g"(0) \ |
| 83 | : "cc"); \ |
| 84 | asm ("addq %2,%0; adcq %3,%1" \ |
| 85 | : "+m"(r),"+d"(high) \ |
| 86 | : "r"(carry),"g"(0) \ |
| 87 | : "cc"); \ |
| 88 | carry=high; \ |
| 89 | } while (0) |
| 90 | |
| 91 | # define mul(r,a,word,carry) do { \ |
| 92 | register BN_ULONG high,low; \ |
| 93 | asm ("mulq %3" \ |
| 94 | : "=a"(low),"=d"(high) \ |
| 95 | : "a"(word),"g"(a) \ |
| 96 | : "cc"); \ |
| 97 | asm ("addq %2,%0; adcq %3,%1" \ |
| 98 | : "+r"(carry),"+d"(high)\ |
| 99 | : "a"(low),"g"(0) \ |
| 100 | : "cc"); \ |
| 101 | (r)=carry, carry=high; \ |
| 102 | } while (0) |
| 103 | # undef sqr |
| 104 | # define sqr(r0,r1,a) \ |
| 105 | asm ("mulq %2" \ |
| 106 | : "=a"(r0),"=d"(r1) \ |
| 107 | : "a"(a) \ |
| 108 | : "cc"); |
| 109 | |
| 110 | BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, |
| 111 | BN_ULONG w) |
| 112 | { |
| 113 | BN_ULONG c1 = 0; |
| 114 | |
| 115 | if (num <= 0) |
| 116 | return c1; |
| 117 | |
| 118 | while (num & ~3) { |
| 119 | mul_add(rp[0], ap[0], w, c1); |
| 120 | mul_add(rp[1], ap[1], w, c1); |
| 121 | mul_add(rp[2], ap[2], w, c1); |
| 122 | mul_add(rp[3], ap[3], w, c1); |
| 123 | ap += 4; |
| 124 | rp += 4; |
| 125 | num -= 4; |
| 126 | } |
| 127 | if (num) { |
| 128 | mul_add(rp[0], ap[0], w, c1); |
| 129 | if (--num == 0) |
| 130 | return c1; |
| 131 | mul_add(rp[1], ap[1], w, c1); |
| 132 | if (--num == 0) |
| 133 | return c1; |
| 134 | mul_add(rp[2], ap[2], w, c1); |
| 135 | return c1; |
| 136 | } |
| 137 | |
| 138 | return c1; |
| 139 | } |
| 140 | |
| 141 | BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w) |
| 142 | { |
| 143 | BN_ULONG c1 = 0; |
| 144 | |
| 145 | if (num <= 0) |
| 146 | return c1; |
| 147 | |
| 148 | while (num & ~3) { |
| 149 | mul(rp[0], ap[0], w, c1); |
| 150 | mul(rp[1], ap[1], w, c1); |
| 151 | mul(rp[2], ap[2], w, c1); |
| 152 | mul(rp[3], ap[3], w, c1); |
| 153 | ap += 4; |
| 154 | rp += 4; |
| 155 | num -= 4; |
| 156 | } |
| 157 | if (num) { |
| 158 | mul(rp[0], ap[0], w, c1); |
| 159 | if (--num == 0) |
| 160 | return c1; |
| 161 | mul(rp[1], ap[1], w, c1); |
| 162 | if (--num == 0) |
| 163 | return c1; |
| 164 | mul(rp[2], ap[2], w, c1); |
| 165 | } |
| 166 | return c1; |
| 167 | } |
| 168 | |
| 169 | void bn_sqr_words(BN_ULONG *r, const BN_ULONG *a, int n) |
| 170 | { |
| 171 | if (n <= 0) |
| 172 | return; |
| 173 | |
| 174 | while (n & ~3) { |
| 175 | sqr(r[0], r[1], a[0]); |
| 176 | sqr(r[2], r[3], a[1]); |
| 177 | sqr(r[4], r[5], a[2]); |
| 178 | sqr(r[6], r[7], a[3]); |
| 179 | a += 4; |
| 180 | r += 8; |
| 181 | n -= 4; |
| 182 | } |
| 183 | if (n) { |
| 184 | sqr(r[0], r[1], a[0]); |
| 185 | if (--n == 0) |
| 186 | return; |
| 187 | sqr(r[2], r[3], a[1]); |
| 188 | if (--n == 0) |
| 189 | return; |
| 190 | sqr(r[4], r[5], a[2]); |
| 191 | } |
| 192 | } |
| 193 | |
| 194 | BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d) |
| 195 | { |
| 196 | BN_ULONG ret, waste; |
| 197 | |
| 198 | asm("divq %4" :"=a" (ret), "=d" (waste) |
| 199 | : "a" (l), "d" (h), "r" (d) |
| 200 | : "cc" ); |
| 201 | |
| 202 | return ret; |
| 203 | } |
| 204 | |
| 205 | BN_ULONG bn_add_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp, |
| 206 | int n) |
| 207 | { |
| 208 | BN_ULONG ret; |
| 209 | size_t i = 0; |
| 210 | |
| 211 | if (n <= 0) |
| 212 | return 0; |
| 213 | |
| 214 | asm volatile (" subq %0,%0 \n" /* clear carry */ |
| 215 | " jmp 1f \n" |
| 216 | ".p2align 4 \n" |
| 217 | "1: movq (%4,%2,8),%0 \n" |
| 218 | " adcq (%5,%2,8),%0 \n" |
| 219 | " movq %0,(%3,%2,8) \n" |
| 220 | " lea 1(%2),%2 \n" |
| 221 | " dec %1 \n" |
| 222 | " jnz 1b \n" |
| 223 | " sbbq %0,%0 \n" |
| 224 | :"=&r" (ret), "+c" (n), "+r" (i) |
| 225 | :"r" (rp), "r" (ap), "r" (bp) |
| 226 | :"cc" , "memory" ); |
| 227 | |
| 228 | return ret & 1; |
| 229 | } |
| 230 | |
| 231 | # ifndef SIMICS |
| 232 | BN_ULONG bn_sub_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp, |
| 233 | int n) |
| 234 | { |
| 235 | BN_ULONG ret; |
| 236 | size_t i = 0; |
| 237 | |
| 238 | if (n <= 0) |
| 239 | return 0; |
| 240 | |
| 241 | asm volatile (" subq %0,%0 \n" /* clear borrow */ |
| 242 | " jmp 1f \n" |
| 243 | ".p2align 4 \n" |
| 244 | "1: movq (%4,%2,8),%0 \n" |
| 245 | " sbbq (%5,%2,8),%0 \n" |
| 246 | " movq %0,(%3,%2,8) \n" |
| 247 | " lea 1(%2),%2 \n" |
| 248 | " dec %1 \n" |
| 249 | " jnz 1b \n" |
| 250 | " sbbq %0,%0 \n" |
| 251 | :"=&r" (ret), "+c" (n), "+r" (i) |
| 252 | :"r" (rp), "r" (ap), "r" (bp) |
| 253 | :"cc" , "memory" ); |
| 254 | |
| 255 | return ret & 1; |
| 256 | } |
| 257 | # else |
| 258 | /* Simics 1.4<7 has buggy sbbq:-( */ |
| 259 | # define BN_MASK2 0xffffffffffffffffL |
| 260 | BN_ULONG bn_sub_words(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n) |
| 261 | { |
| 262 | BN_ULONG t1, t2; |
| 263 | int c = 0; |
| 264 | |
| 265 | if (n <= 0) |
| 266 | return (BN_ULONG)0; |
| 267 | |
| 268 | for (;;) { |
| 269 | t1 = a[0]; |
| 270 | t2 = b[0]; |
| 271 | r[0] = (t1 - t2 - c) & BN_MASK2; |
| 272 | if (t1 != t2) |
| 273 | c = (t1 < t2); |
| 274 | if (--n <= 0) |
| 275 | break; |
| 276 | |
| 277 | t1 = a[1]; |
| 278 | t2 = b[1]; |
| 279 | r[1] = (t1 - t2 - c) & BN_MASK2; |
| 280 | if (t1 != t2) |
| 281 | c = (t1 < t2); |
| 282 | if (--n <= 0) |
| 283 | break; |
| 284 | |
| 285 | t1 = a[2]; |
| 286 | t2 = b[2]; |
| 287 | r[2] = (t1 - t2 - c) & BN_MASK2; |
| 288 | if (t1 != t2) |
| 289 | c = (t1 < t2); |
| 290 | if (--n <= 0) |
| 291 | break; |
| 292 | |
| 293 | t1 = a[3]; |
| 294 | t2 = b[3]; |
| 295 | r[3] = (t1 - t2 - c) & BN_MASK2; |
| 296 | if (t1 != t2) |
| 297 | c = (t1 < t2); |
| 298 | if (--n <= 0) |
| 299 | break; |
| 300 | |
| 301 | a += 4; |
| 302 | b += 4; |
| 303 | r += 4; |
| 304 | } |
| 305 | return c; |
| 306 | } |
| 307 | # endif |
| 308 | |
| 309 | /* mul_add_c(a,b,c0,c1,c2) -- c+=a*b for three word number c=(c2,c1,c0) */ |
| 310 | /* mul_add_c2(a,b,c0,c1,c2) -- c+=2*a*b for three word number c=(c2,c1,c0) */ |
| 311 | /* sqr_add_c(a,i,c0,c1,c2) -- c+=a[i]^2 for three word number c=(c2,c1,c0) */ |
| 312 | /* |
| 313 | * sqr_add_c2(a,i,c0,c1,c2) -- c+=2*a[i]*a[j] for three word number |
| 314 | * c=(c2,c1,c0) |
| 315 | */ |
| 316 | |
| 317 | /* |
| 318 | * Keep in mind that carrying into high part of multiplication result |
| 319 | * can not overflow, because it cannot be all-ones. |
| 320 | */ |
| 321 | # if 0 |
| 322 | /* original macros are kept for reference purposes */ |
| 323 | # define mul_add_c(a,b,c0,c1,c2) do { \ |
| 324 | BN_ULONG ta = (a), tb = (b); \ |
| 325 | BN_ULONG lo, hi; \ |
| 326 | BN_UMULT_LOHI(lo,hi,ta,tb); \ |
| 327 | c0 += lo; hi += (c0<lo)?1:0; \ |
| 328 | c1 += hi; c2 += (c1<hi)?1:0; \ |
| 329 | } while(0) |
| 330 | |
| 331 | # define mul_add_c2(a,b,c0,c1,c2) do { \ |
| 332 | BN_ULONG ta = (a), tb = (b); \ |
| 333 | BN_ULONG lo, hi, tt; \ |
| 334 | BN_UMULT_LOHI(lo,hi,ta,tb); \ |
| 335 | c0 += lo; tt = hi+((c0<lo)?1:0); \ |
| 336 | c1 += tt; c2 += (c1<tt)?1:0; \ |
| 337 | c0 += lo; hi += (c0<lo)?1:0; \ |
| 338 | c1 += hi; c2 += (c1<hi)?1:0; \ |
| 339 | } while(0) |
| 340 | |
| 341 | # define sqr_add_c(a,i,c0,c1,c2) do { \ |
| 342 | BN_ULONG ta = (a)[i]; \ |
| 343 | BN_ULONG lo, hi; \ |
| 344 | BN_UMULT_LOHI(lo,hi,ta,ta); \ |
| 345 | c0 += lo; hi += (c0<lo)?1:0; \ |
| 346 | c1 += hi; c2 += (c1<hi)?1:0; \ |
| 347 | } while(0) |
| 348 | # else |
| 349 | # define mul_add_c(a,b,c0,c1,c2) do { \ |
| 350 | BN_ULONG t1,t2; \ |
| 351 | asm ("mulq %3" \ |
| 352 | : "=a"(t1),"=d"(t2) \ |
| 353 | : "a"(a),"m"(b) \ |
| 354 | : "cc"); \ |
| 355 | asm ("addq %3,%0; adcq %4,%1; adcq %5,%2" \ |
| 356 | : "+r"(c0),"+r"(c1),"+r"(c2) \ |
| 357 | : "r"(t1),"r"(t2),"g"(0) \ |
| 358 | : "cc"); \ |
| 359 | } while (0) |
| 360 | |
| 361 | # define sqr_add_c(a,i,c0,c1,c2) do { \ |
| 362 | BN_ULONG t1,t2; \ |
| 363 | asm ("mulq %2" \ |
| 364 | : "=a"(t1),"=d"(t2) \ |
| 365 | : "a"(a[i]) \ |
| 366 | : "cc"); \ |
| 367 | asm ("addq %3,%0; adcq %4,%1; adcq %5,%2" \ |
| 368 | : "+r"(c0),"+r"(c1),"+r"(c2) \ |
| 369 | : "r"(t1),"r"(t2),"g"(0) \ |
| 370 | : "cc"); \ |
| 371 | } while (0) |
| 372 | |
| 373 | # define mul_add_c2(a,b,c0,c1,c2) do { \ |
| 374 | BN_ULONG t1,t2; \ |
| 375 | asm ("mulq %3" \ |
| 376 | : "=a"(t1),"=d"(t2) \ |
| 377 | : "a"(a),"m"(b) \ |
| 378 | : "cc"); \ |
| 379 | asm ("addq %3,%0; adcq %4,%1; adcq %5,%2" \ |
| 380 | : "+r"(c0),"+r"(c1),"+r"(c2) \ |
| 381 | : "r"(t1),"r"(t2),"g"(0) \ |
| 382 | : "cc"); \ |
| 383 | asm ("addq %3,%0; adcq %4,%1; adcq %5,%2" \ |
| 384 | : "+r"(c0),"+r"(c1),"+r"(c2) \ |
| 385 | : "r"(t1),"r"(t2),"g"(0) \ |
| 386 | : "cc"); \ |
| 387 | } while (0) |
| 388 | # endif |
| 389 | |
| 390 | # define sqr_add_c2(a,i,j,c0,c1,c2) \ |
| 391 | mul_add_c2((a)[i],(a)[j],c0,c1,c2) |
| 392 | |
| 393 | void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b) |
| 394 | { |
| 395 | BN_ULONG c1, c2, c3; |
| 396 | |
| 397 | c1 = 0; |
| 398 | c2 = 0; |
| 399 | c3 = 0; |
| 400 | mul_add_c(a[0], b[0], c1, c2, c3); |
| 401 | r[0] = c1; |
| 402 | c1 = 0; |
| 403 | mul_add_c(a[0], b[1], c2, c3, c1); |
| 404 | mul_add_c(a[1], b[0], c2, c3, c1); |
| 405 | r[1] = c2; |
| 406 | c2 = 0; |
| 407 | mul_add_c(a[2], b[0], c3, c1, c2); |
| 408 | mul_add_c(a[1], b[1], c3, c1, c2); |
| 409 | mul_add_c(a[0], b[2], c3, c1, c2); |
| 410 | r[2] = c3; |
| 411 | c3 = 0; |
| 412 | mul_add_c(a[0], b[3], c1, c2, c3); |
| 413 | mul_add_c(a[1], b[2], c1, c2, c3); |
| 414 | mul_add_c(a[2], b[1], c1, c2, c3); |
| 415 | mul_add_c(a[3], b[0], c1, c2, c3); |
| 416 | r[3] = c1; |
| 417 | c1 = 0; |
| 418 | mul_add_c(a[4], b[0], c2, c3, c1); |
| 419 | mul_add_c(a[3], b[1], c2, c3, c1); |
| 420 | mul_add_c(a[2], b[2], c2, c3, c1); |
| 421 | mul_add_c(a[1], b[3], c2, c3, c1); |
| 422 | mul_add_c(a[0], b[4], c2, c3, c1); |
| 423 | r[4] = c2; |
| 424 | c2 = 0; |
| 425 | mul_add_c(a[0], b[5], c3, c1, c2); |
| 426 | mul_add_c(a[1], b[4], c3, c1, c2); |
| 427 | mul_add_c(a[2], b[3], c3, c1, c2); |
| 428 | mul_add_c(a[3], b[2], c3, c1, c2); |
| 429 | mul_add_c(a[4], b[1], c3, c1, c2); |
| 430 | mul_add_c(a[5], b[0], c3, c1, c2); |
| 431 | r[5] = c3; |
| 432 | c3 = 0; |
| 433 | mul_add_c(a[6], b[0], c1, c2, c3); |
| 434 | mul_add_c(a[5], b[1], c1, c2, c3); |
| 435 | mul_add_c(a[4], b[2], c1, c2, c3); |
| 436 | mul_add_c(a[3], b[3], c1, c2, c3); |
| 437 | mul_add_c(a[2], b[4], c1, c2, c3); |
| 438 | mul_add_c(a[1], b[5], c1, c2, c3); |
| 439 | mul_add_c(a[0], b[6], c1, c2, c3); |
| 440 | r[6] = c1; |
| 441 | c1 = 0; |
| 442 | mul_add_c(a[0], b[7], c2, c3, c1); |
| 443 | mul_add_c(a[1], b[6], c2, c3, c1); |
| 444 | mul_add_c(a[2], b[5], c2, c3, c1); |
| 445 | mul_add_c(a[3], b[4], c2, c3, c1); |
| 446 | mul_add_c(a[4], b[3], c2, c3, c1); |
| 447 | mul_add_c(a[5], b[2], c2, c3, c1); |
| 448 | mul_add_c(a[6], b[1], c2, c3, c1); |
| 449 | mul_add_c(a[7], b[0], c2, c3, c1); |
| 450 | r[7] = c2; |
| 451 | c2 = 0; |
| 452 | mul_add_c(a[7], b[1], c3, c1, c2); |
| 453 | mul_add_c(a[6], b[2], c3, c1, c2); |
| 454 | mul_add_c(a[5], b[3], c3, c1, c2); |
| 455 | mul_add_c(a[4], b[4], c3, c1, c2); |
| 456 | mul_add_c(a[3], b[5], c3, c1, c2); |
| 457 | mul_add_c(a[2], b[6], c3, c1, c2); |
| 458 | mul_add_c(a[1], b[7], c3, c1, c2); |
| 459 | r[8] = c3; |
| 460 | c3 = 0; |
| 461 | mul_add_c(a[2], b[7], c1, c2, c3); |
| 462 | mul_add_c(a[3], b[6], c1, c2, c3); |
| 463 | mul_add_c(a[4], b[5], c1, c2, c3); |
| 464 | mul_add_c(a[5], b[4], c1, c2, c3); |
| 465 | mul_add_c(a[6], b[3], c1, c2, c3); |
| 466 | mul_add_c(a[7], b[2], c1, c2, c3); |
| 467 | r[9] = c1; |
| 468 | c1 = 0; |
| 469 | mul_add_c(a[7], b[3], c2, c3, c1); |
| 470 | mul_add_c(a[6], b[4], c2, c3, c1); |
| 471 | mul_add_c(a[5], b[5], c2, c3, c1); |
| 472 | mul_add_c(a[4], b[6], c2, c3, c1); |
| 473 | mul_add_c(a[3], b[7], c2, c3, c1); |
| 474 | r[10] = c2; |
| 475 | c2 = 0; |
| 476 | mul_add_c(a[4], b[7], c3, c1, c2); |
| 477 | mul_add_c(a[5], b[6], c3, c1, c2); |
| 478 | mul_add_c(a[6], b[5], c3, c1, c2); |
| 479 | mul_add_c(a[7], b[4], c3, c1, c2); |
| 480 | r[11] = c3; |
| 481 | c3 = 0; |
| 482 | mul_add_c(a[7], b[5], c1, c2, c3); |
| 483 | mul_add_c(a[6], b[6], c1, c2, c3); |
| 484 | mul_add_c(a[5], b[7], c1, c2, c3); |
| 485 | r[12] = c1; |
| 486 | c1 = 0; |
| 487 | mul_add_c(a[6], b[7], c2, c3, c1); |
| 488 | mul_add_c(a[7], b[6], c2, c3, c1); |
| 489 | r[13] = c2; |
| 490 | c2 = 0; |
| 491 | mul_add_c(a[7], b[7], c3, c1, c2); |
| 492 | r[14] = c3; |
| 493 | r[15] = c1; |
| 494 | } |
| 495 | |
| 496 | void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b) |
| 497 | { |
| 498 | BN_ULONG c1, c2, c3; |
| 499 | |
| 500 | c1 = 0; |
| 501 | c2 = 0; |
| 502 | c3 = 0; |
| 503 | mul_add_c(a[0], b[0], c1, c2, c3); |
| 504 | r[0] = c1; |
| 505 | c1 = 0; |
| 506 | mul_add_c(a[0], b[1], c2, c3, c1); |
| 507 | mul_add_c(a[1], b[0], c2, c3, c1); |
| 508 | r[1] = c2; |
| 509 | c2 = 0; |
| 510 | mul_add_c(a[2], b[0], c3, c1, c2); |
| 511 | mul_add_c(a[1], b[1], c3, c1, c2); |
| 512 | mul_add_c(a[0], b[2], c3, c1, c2); |
| 513 | r[2] = c3; |
| 514 | c3 = 0; |
| 515 | mul_add_c(a[0], b[3], c1, c2, c3); |
| 516 | mul_add_c(a[1], b[2], c1, c2, c3); |
| 517 | mul_add_c(a[2], b[1], c1, c2, c3); |
| 518 | mul_add_c(a[3], b[0], c1, c2, c3); |
| 519 | r[3] = c1; |
| 520 | c1 = 0; |
| 521 | mul_add_c(a[3], b[1], c2, c3, c1); |
| 522 | mul_add_c(a[2], b[2], c2, c3, c1); |
| 523 | mul_add_c(a[1], b[3], c2, c3, c1); |
| 524 | r[4] = c2; |
| 525 | c2 = 0; |
| 526 | mul_add_c(a[2], b[3], c3, c1, c2); |
| 527 | mul_add_c(a[3], b[2], c3, c1, c2); |
| 528 | r[5] = c3; |
| 529 | c3 = 0; |
| 530 | mul_add_c(a[3], b[3], c1, c2, c3); |
| 531 | r[6] = c1; |
| 532 | r[7] = c2; |
| 533 | } |
| 534 | |
| 535 | void bn_sqr_comba8(BN_ULONG *r, const BN_ULONG *a) |
| 536 | { |
| 537 | BN_ULONG c1, c2, c3; |
| 538 | |
| 539 | c1 = 0; |
| 540 | c2 = 0; |
| 541 | c3 = 0; |
| 542 | sqr_add_c(a, 0, c1, c2, c3); |
| 543 | r[0] = c1; |
| 544 | c1 = 0; |
| 545 | sqr_add_c2(a, 1, 0, c2, c3, c1); |
| 546 | r[1] = c2; |
| 547 | c2 = 0; |
| 548 | sqr_add_c(a, 1, c3, c1, c2); |
| 549 | sqr_add_c2(a, 2, 0, c3, c1, c2); |
| 550 | r[2] = c3; |
| 551 | c3 = 0; |
| 552 | sqr_add_c2(a, 3, 0, c1, c2, c3); |
| 553 | sqr_add_c2(a, 2, 1, c1, c2, c3); |
| 554 | r[3] = c1; |
| 555 | c1 = 0; |
| 556 | sqr_add_c(a, 2, c2, c3, c1); |
| 557 | sqr_add_c2(a, 3, 1, c2, c3, c1); |
| 558 | sqr_add_c2(a, 4, 0, c2, c3, c1); |
| 559 | r[4] = c2; |
| 560 | c2 = 0; |
| 561 | sqr_add_c2(a, 5, 0, c3, c1, c2); |
| 562 | sqr_add_c2(a, 4, 1, c3, c1, c2); |
| 563 | sqr_add_c2(a, 3, 2, c3, c1, c2); |
| 564 | r[5] = c3; |
| 565 | c3 = 0; |
| 566 | sqr_add_c(a, 3, c1, c2, c3); |
| 567 | sqr_add_c2(a, 4, 2, c1, c2, c3); |
| 568 | sqr_add_c2(a, 5, 1, c1, c2, c3); |
| 569 | sqr_add_c2(a, 6, 0, c1, c2, c3); |
| 570 | r[6] = c1; |
| 571 | c1 = 0; |
| 572 | sqr_add_c2(a, 7, 0, c2, c3, c1); |
| 573 | sqr_add_c2(a, 6, 1, c2, c3, c1); |
| 574 | sqr_add_c2(a, 5, 2, c2, c3, c1); |
| 575 | sqr_add_c2(a, 4, 3, c2, c3, c1); |
| 576 | r[7] = c2; |
| 577 | c2 = 0; |
| 578 | sqr_add_c(a, 4, c3, c1, c2); |
| 579 | sqr_add_c2(a, 5, 3, c3, c1, c2); |
| 580 | sqr_add_c2(a, 6, 2, c3, c1, c2); |
| 581 | sqr_add_c2(a, 7, 1, c3, c1, c2); |
| 582 | r[8] = c3; |
| 583 | c3 = 0; |
| 584 | sqr_add_c2(a, 7, 2, c1, c2, c3); |
| 585 | sqr_add_c2(a, 6, 3, c1, c2, c3); |
| 586 | sqr_add_c2(a, 5, 4, c1, c2, c3); |
| 587 | r[9] = c1; |
| 588 | c1 = 0; |
| 589 | sqr_add_c(a, 5, c2, c3, c1); |
| 590 | sqr_add_c2(a, 6, 4, c2, c3, c1); |
| 591 | sqr_add_c2(a, 7, 3, c2, c3, c1); |
| 592 | r[10] = c2; |
| 593 | c2 = 0; |
| 594 | sqr_add_c2(a, 7, 4, c3, c1, c2); |
| 595 | sqr_add_c2(a, 6, 5, c3, c1, c2); |
| 596 | r[11] = c3; |
| 597 | c3 = 0; |
| 598 | sqr_add_c(a, 6, c1, c2, c3); |
| 599 | sqr_add_c2(a, 7, 5, c1, c2, c3); |
| 600 | r[12] = c1; |
| 601 | c1 = 0; |
| 602 | sqr_add_c2(a, 7, 6, c2, c3, c1); |
| 603 | r[13] = c2; |
| 604 | c2 = 0; |
| 605 | sqr_add_c(a, 7, c3, c1, c2); |
| 606 | r[14] = c3; |
| 607 | r[15] = c1; |
| 608 | } |
| 609 | |
| 610 | void bn_sqr_comba4(BN_ULONG *r, const BN_ULONG *a) |
| 611 | { |
| 612 | BN_ULONG c1, c2, c3; |
| 613 | |
| 614 | c1 = 0; |
| 615 | c2 = 0; |
| 616 | c3 = 0; |
| 617 | sqr_add_c(a, 0, c1, c2, c3); |
| 618 | r[0] = c1; |
| 619 | c1 = 0; |
| 620 | sqr_add_c2(a, 1, 0, c2, c3, c1); |
| 621 | r[1] = c2; |
| 622 | c2 = 0; |
| 623 | sqr_add_c(a, 1, c3, c1, c2); |
| 624 | sqr_add_c2(a, 2, 0, c3, c1, c2); |
| 625 | r[2] = c3; |
| 626 | c3 = 0; |
| 627 | sqr_add_c2(a, 3, 0, c1, c2, c3); |
| 628 | sqr_add_c2(a, 2, 1, c1, c2, c3); |
| 629 | r[3] = c1; |
| 630 | c1 = 0; |
| 631 | sqr_add_c(a, 2, c2, c3, c1); |
| 632 | sqr_add_c2(a, 3, 1, c2, c3, c1); |
| 633 | r[4] = c2; |
| 634 | c2 = 0; |
| 635 | sqr_add_c2(a, 3, 2, c3, c1, c2); |
| 636 | r[5] = c3; |
| 637 | c3 = 0; |
| 638 | sqr_add_c(a, 3, c1, c2, c3); |
| 639 | r[6] = c1; |
| 640 | r[7] = c2; |
| 641 | } |
| 642 | #endif |
| 643 | |