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Diffstat (limited to 'src/lib/libcrypto/bn/bn_div.c')
| -rw-r--r-- | src/lib/libcrypto/bn/bn_div.c | 387 |
1 files changed, 387 insertions, 0 deletions
diff --git a/src/lib/libcrypto/bn/bn_div.c b/src/lib/libcrypto/bn/bn_div.c new file mode 100644 index 0000000000..580d1201bc --- /dev/null +++ b/src/lib/libcrypto/bn/bn_div.c | |||
| @@ -0,0 +1,387 @@ | |||
| 1 | /* crypto/bn/bn_div.c */ | ||
| 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 | #include <stdio.h> | ||
| 60 | #include <openssl/bn.h> | ||
| 61 | #include "cryptlib.h" | ||
| 62 | #include "bn_lcl.h" | ||
| 63 | |||
| 64 | |||
| 65 | /* The old slow way */ | ||
| 66 | #if 0 | ||
| 67 | int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d, | ||
| 68 | BN_CTX *ctx) | ||
| 69 | { | ||
| 70 | int i,nm,nd; | ||
| 71 | int ret = 0; | ||
| 72 | BIGNUM *D; | ||
| 73 | |||
| 74 | bn_check_top(m); | ||
| 75 | bn_check_top(d); | ||
| 76 | if (BN_is_zero(d)) | ||
| 77 | { | ||
| 78 | BNerr(BN_F_BN_DIV,BN_R_DIV_BY_ZERO); | ||
| 79 | return(0); | ||
| 80 | } | ||
| 81 | |||
| 82 | if (BN_ucmp(m,d) < 0) | ||
| 83 | { | ||
| 84 | if (rem != NULL) | ||
| 85 | { if (BN_copy(rem,m) == NULL) return(0); } | ||
| 86 | if (dv != NULL) BN_zero(dv); | ||
| 87 | return(1); | ||
| 88 | } | ||
| 89 | |||
| 90 | BN_CTX_start(ctx); | ||
| 91 | D = BN_CTX_get(ctx); | ||
| 92 | if (dv == NULL) dv = BN_CTX_get(ctx); | ||
| 93 | if (rem == NULL) rem = BN_CTX_get(ctx); | ||
| 94 | if (D == NULL || dv == NULL || rem == NULL) | ||
| 95 | goto end; | ||
| 96 | |||
| 97 | nd=BN_num_bits(d); | ||
| 98 | nm=BN_num_bits(m); | ||
| 99 | if (BN_copy(D,d) == NULL) goto end; | ||
| 100 | if (BN_copy(rem,m) == NULL) goto end; | ||
| 101 | |||
| 102 | /* The next 2 are needed so we can do a dv->d[0]|=1 later | ||
| 103 | * since BN_lshift1 will only work once there is a value :-) */ | ||
| 104 | BN_zero(dv); | ||
| 105 | bn_wexpand(dv,1); | ||
| 106 | dv->top=1; | ||
| 107 | |||
| 108 | if (!BN_lshift(D,D,nm-nd)) goto end; | ||
| 109 | for (i=nm-nd; i>=0; i--) | ||
| 110 | { | ||
| 111 | if (!BN_lshift1(dv,dv)) goto end; | ||
| 112 | if (BN_ucmp(rem,D) >= 0) | ||
| 113 | { | ||
| 114 | dv->d[0]|=1; | ||
| 115 | if (!BN_usub(rem,rem,D)) goto end; | ||
| 116 | } | ||
| 117 | /* CAN IMPROVE (and have now :=) */ | ||
| 118 | if (!BN_rshift1(D,D)) goto end; | ||
| 119 | } | ||
| 120 | rem->neg=BN_is_zero(rem)?0:m->neg; | ||
| 121 | dv->neg=m->neg^d->neg; | ||
| 122 | ret = 1; | ||
| 123 | end: | ||
| 124 | BN_CTX_end(ctx); | ||
| 125 | return(ret); | ||
| 126 | } | ||
| 127 | |||
| 128 | #else | ||
| 129 | |||
| 130 | #if !defined(OPENSSL_NO_ASM) && !defined(OPENSSL_NO_INLINE_ASM) \ | ||
| 131 | && !defined(PEDANTIC) && !defined(BN_DIV3W) | ||
| 132 | # if defined(__GNUC__) && __GNUC__>=2 | ||
| 133 | # if defined(__i386) || defined (__i386__) | ||
| 134 | /* | ||
| 135 | * There were two reasons for implementing this template: | ||
| 136 | * - GNU C generates a call to a function (__udivdi3 to be exact) | ||
| 137 | * in reply to ((((BN_ULLONG)n0)<<BN_BITS2)|n1)/d0 (I fail to | ||
| 138 | * understand why...); | ||
| 139 | * - divl doesn't only calculate quotient, but also leaves | ||
| 140 | * remainder in %edx which we can definitely use here:-) | ||
| 141 | * | ||
| 142 | * <appro@fy.chalmers.se> | ||
| 143 | */ | ||
| 144 | # define bn_div_words(n0,n1,d0) \ | ||
| 145 | ({ asm volatile ( \ | ||
| 146 | "divl %4" \ | ||
| 147 | : "=a"(q), "=d"(rem) \ | ||
| 148 | : "a"(n1), "d"(n0), "g"(d0) \ | ||
| 149 | : "cc"); \ | ||
| 150 | q; \ | ||
| 151 | }) | ||
| 152 | # define REMAINDER_IS_ALREADY_CALCULATED | ||
| 153 | # elif defined(__x86_64) && defined(SIXTY_FOUR_BIT_LONG) | ||
| 154 | /* | ||
| 155 | * Same story here, but it's 128-bit by 64-bit division. Wow! | ||
| 156 | * <appro@fy.chalmers.se> | ||
| 157 | */ | ||
| 158 | # define bn_div_words(n0,n1,d0) \ | ||
| 159 | ({ asm volatile ( \ | ||
| 160 | "divq %4" \ | ||
| 161 | : "=a"(q), "=d"(rem) \ | ||
| 162 | : "a"(n1), "d"(n0), "g"(d0) \ | ||
| 163 | : "cc"); \ | ||
| 164 | q; \ | ||
| 165 | }) | ||
| 166 | # define REMAINDER_IS_ALREADY_CALCULATED | ||
| 167 | # endif /* __<cpu> */ | ||
| 168 | # endif /* __GNUC__ */ | ||
| 169 | #endif /* OPENSSL_NO_ASM */ | ||
| 170 | |||
| 171 | |||
| 172 | /* BN_div computes dv := num / divisor, rounding towards zero, and sets up | ||
| 173 | * rm such that dv*divisor + rm = num holds. | ||
| 174 | * Thus: | ||
| 175 | * dv->neg == num->neg ^ divisor->neg (unless the result is zero) | ||
| 176 | * rm->neg == num->neg (unless the remainder is zero) | ||
| 177 | * If 'dv' or 'rm' is NULL, the respective value is not returned. | ||
| 178 | */ | ||
| 179 | int BN_div(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num, const BIGNUM *divisor, | ||
| 180 | BN_CTX *ctx) | ||
| 181 | { | ||
| 182 | int norm_shift,i,j,loop; | ||
| 183 | BIGNUM *tmp,wnum,*snum,*sdiv,*res; | ||
| 184 | BN_ULONG *resp,*wnump; | ||
| 185 | BN_ULONG d0,d1; | ||
| 186 | int num_n,div_n; | ||
| 187 | |||
| 188 | bn_check_top(num); | ||
| 189 | bn_check_top(divisor); | ||
| 190 | |||
| 191 | if (BN_is_zero(divisor)) | ||
| 192 | { | ||
| 193 | BNerr(BN_F_BN_DIV,BN_R_DIV_BY_ZERO); | ||
| 194 | return(0); | ||
| 195 | } | ||
| 196 | |||
| 197 | if (BN_ucmp(num,divisor) < 0) | ||
| 198 | { | ||
| 199 | if (rm != NULL) | ||
| 200 | { if (BN_copy(rm,num) == NULL) return(0); } | ||
| 201 | if (dv != NULL) BN_zero(dv); | ||
| 202 | return(1); | ||
| 203 | } | ||
| 204 | |||
| 205 | BN_CTX_start(ctx); | ||
| 206 | tmp=BN_CTX_get(ctx); | ||
| 207 | snum=BN_CTX_get(ctx); | ||
| 208 | sdiv=BN_CTX_get(ctx); | ||
| 209 | if (dv == NULL) | ||
| 210 | res=BN_CTX_get(ctx); | ||
| 211 | else res=dv; | ||
| 212 | if (sdiv == NULL || res == NULL) goto err; | ||
| 213 | tmp->neg=0; | ||
| 214 | |||
| 215 | /* First we normalise the numbers */ | ||
| 216 | norm_shift=BN_BITS2-((BN_num_bits(divisor))%BN_BITS2); | ||
| 217 | if (!(BN_lshift(sdiv,divisor,norm_shift))) goto err; | ||
| 218 | sdiv->neg=0; | ||
| 219 | norm_shift+=BN_BITS2; | ||
| 220 | if (!(BN_lshift(snum,num,norm_shift))) goto err; | ||
| 221 | snum->neg=0; | ||
| 222 | div_n=sdiv->top; | ||
| 223 | num_n=snum->top; | ||
| 224 | loop=num_n-div_n; | ||
| 225 | |||
| 226 | /* Lets setup a 'window' into snum | ||
| 227 | * This is the part that corresponds to the current | ||
| 228 | * 'area' being divided */ | ||
| 229 | BN_init(&wnum); | ||
| 230 | wnum.d= &(snum->d[loop]); | ||
| 231 | wnum.top= div_n; | ||
| 232 | wnum.dmax= snum->dmax+1; /* a bit of a lie */ | ||
| 233 | |||
| 234 | /* Get the top 2 words of sdiv */ | ||
| 235 | /* i=sdiv->top; */ | ||
| 236 | d0=sdiv->d[div_n-1]; | ||
| 237 | d1=(div_n == 1)?0:sdiv->d[div_n-2]; | ||
| 238 | |||
| 239 | /* pointer to the 'top' of snum */ | ||
| 240 | wnump= &(snum->d[num_n-1]); | ||
| 241 | |||
| 242 | /* Setup to 'res' */ | ||
| 243 | res->neg= (num->neg^divisor->neg); | ||
| 244 | if (!bn_wexpand(res,(loop+1))) goto err; | ||
| 245 | res->top=loop; | ||
| 246 | resp= &(res->d[loop-1]); | ||
| 247 | |||
| 248 | /* space for temp */ | ||
| 249 | if (!bn_wexpand(tmp,(div_n+1))) goto err; | ||
| 250 | |||
| 251 | if (BN_ucmp(&wnum,sdiv) >= 0) | ||
| 252 | { | ||
| 253 | if (!BN_usub(&wnum,&wnum,sdiv)) goto err; | ||
| 254 | *resp=1; | ||
| 255 | res->d[res->top-1]=1; | ||
| 256 | } | ||
| 257 | else | ||
| 258 | res->top--; | ||
| 259 | if (res->top == 0) | ||
| 260 | res->neg = 0; | ||
| 261 | resp--; | ||
| 262 | |||
| 263 | for (i=0; i<loop-1; i++) | ||
| 264 | { | ||
| 265 | BN_ULONG q,l0; | ||
| 266 | #if defined(BN_DIV3W) && !defined(OPENSSL_NO_ASM) | ||
| 267 | BN_ULONG bn_div_3_words(BN_ULONG*,BN_ULONG,BN_ULONG); | ||
| 268 | q=bn_div_3_words(wnump,d1,d0); | ||
| 269 | #else | ||
| 270 | BN_ULONG n0,n1,rem=0; | ||
| 271 | |||
| 272 | n0=wnump[0]; | ||
| 273 | n1=wnump[-1]; | ||
| 274 | if (n0 == d0) | ||
| 275 | q=BN_MASK2; | ||
| 276 | else /* n0 < d0 */ | ||
| 277 | { | ||
| 278 | #ifdef BN_LLONG | ||
| 279 | BN_ULLONG t2; | ||
| 280 | |||
| 281 | #if defined(BN_LLONG) && defined(BN_DIV2W) && !defined(bn_div_words) | ||
| 282 | q=(BN_ULONG)(((((BN_ULLONG)n0)<<BN_BITS2)|n1)/d0); | ||
| 283 | #else | ||
| 284 | q=bn_div_words(n0,n1,d0); | ||
| 285 | #ifdef BN_DEBUG_LEVITTE | ||
| 286 | fprintf(stderr,"DEBUG: bn_div_words(0x%08X,0x%08X,0x%08\ | ||
| 287 | X) -> 0x%08X\n", | ||
| 288 | n0, n1, d0, q); | ||
| 289 | #endif | ||
| 290 | #endif | ||
| 291 | |||
| 292 | #ifndef REMAINDER_IS_ALREADY_CALCULATED | ||
| 293 | /* | ||
| 294 | * rem doesn't have to be BN_ULLONG. The least we | ||
| 295 | * know it's less that d0, isn't it? | ||
| 296 | */ | ||
| 297 | rem=(n1-q*d0)&BN_MASK2; | ||
| 298 | #endif | ||
| 299 | t2=(BN_ULLONG)d1*q; | ||
| 300 | |||
| 301 | for (;;) | ||
| 302 | { | ||
| 303 | if (t2 <= ((((BN_ULLONG)rem)<<BN_BITS2)|wnump[-2])) | ||
| 304 | break; | ||
| 305 | q--; | ||
| 306 | rem += d0; | ||
| 307 | if (rem < d0) break; /* don't let rem overflow */ | ||
| 308 | t2 -= d1; | ||
| 309 | } | ||
| 310 | #else /* !BN_LLONG */ | ||
| 311 | BN_ULONG t2l,t2h,ql,qh; | ||
| 312 | |||
| 313 | q=bn_div_words(n0,n1,d0); | ||
| 314 | #ifdef BN_DEBUG_LEVITTE | ||
| 315 | fprintf(stderr,"DEBUG: bn_div_words(0x%08X,0x%08X,0x%08\ | ||
| 316 | X) -> 0x%08X\n", | ||
| 317 | n0, n1, d0, q); | ||
| 318 | #endif | ||
| 319 | #ifndef REMAINDER_IS_ALREADY_CALCULATED | ||
| 320 | rem=(n1-q*d0)&BN_MASK2; | ||
| 321 | #endif | ||
| 322 | |||
| 323 | #if defined(BN_UMULT_LOHI) | ||
| 324 | BN_UMULT_LOHI(t2l,t2h,d1,q); | ||
| 325 | #elif defined(BN_UMULT_HIGH) | ||
| 326 | t2l = d1 * q; | ||
| 327 | t2h = BN_UMULT_HIGH(d1,q); | ||
| 328 | #else | ||
| 329 | t2l=LBITS(d1); t2h=HBITS(d1); | ||
| 330 | ql =LBITS(q); qh =HBITS(q); | ||
| 331 | mul64(t2l,t2h,ql,qh); /* t2=(BN_ULLONG)d1*q; */ | ||
| 332 | #endif | ||
| 333 | |||
| 334 | for (;;) | ||
| 335 | { | ||
| 336 | if ((t2h < rem) || | ||
| 337 | ((t2h == rem) && (t2l <= wnump[-2]))) | ||
| 338 | break; | ||
| 339 | q--; | ||
| 340 | rem += d0; | ||
| 341 | if (rem < d0) break; /* don't let rem overflow */ | ||
| 342 | if (t2l < d1) t2h--; t2l -= d1; | ||
| 343 | } | ||
| 344 | #endif /* !BN_LLONG */ | ||
| 345 | } | ||
| 346 | #endif /* !BN_DIV3W */ | ||
| 347 | |||
| 348 | l0=bn_mul_words(tmp->d,sdiv->d,div_n,q); | ||
| 349 | wnum.d--; wnum.top++; | ||
| 350 | tmp->d[div_n]=l0; | ||
| 351 | for (j=div_n+1; j>0; j--) | ||
| 352 | if (tmp->d[j-1]) break; | ||
| 353 | tmp->top=j; | ||
| 354 | |||
| 355 | j=wnum.top; | ||
| 356 | if (!BN_sub(&wnum,&wnum,tmp)) goto err; | ||
| 357 | |||
| 358 | snum->top=snum->top+wnum.top-j; | ||
| 359 | |||
| 360 | if (wnum.neg) | ||
| 361 | { | ||
| 362 | q--; | ||
| 363 | j=wnum.top; | ||
| 364 | if (!BN_add(&wnum,&wnum,sdiv)) goto err; | ||
| 365 | snum->top+=wnum.top-j; | ||
| 366 | } | ||
| 367 | *(resp--)=q; | ||
| 368 | wnump--; | ||
| 369 | } | ||
| 370 | if (rm != NULL) | ||
| 371 | { | ||
| 372 | /* Keep a copy of the neg flag in num because if rm==num | ||
| 373 | * BN_rshift() will overwrite it. | ||
| 374 | */ | ||
| 375 | int neg = num->neg; | ||
| 376 | BN_rshift(rm,snum,norm_shift); | ||
| 377 | if (!BN_is_zero(rm)) | ||
| 378 | rm->neg = neg; | ||
| 379 | } | ||
| 380 | BN_CTX_end(ctx); | ||
| 381 | return(1); | ||
| 382 | err: | ||
| 383 | BN_CTX_end(ctx); | ||
| 384 | return(0); | ||
| 385 | } | ||
| 386 | |||
| 387 | #endif | ||
