diff options
Diffstat (limited to 'src/lib/libcrypto/bn/bn_div.c')
-rw-r--r-- | src/lib/libcrypto/bn/bn_div.c | 650 |
1 files changed, 0 insertions, 650 deletions
diff --git a/src/lib/libcrypto/bn/bn_div.c b/src/lib/libcrypto/bn/bn_div.c deleted file mode 100644 index 802a43d642..0000000000 --- a/src/lib/libcrypto/bn/bn_div.c +++ /dev/null | |||
@@ -1,650 +0,0 @@ | |||
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 | if(bn_wexpand(dv,1) == NULL) goto end; | ||
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[_no_branch] computes dv := num / divisor, rounding towards | ||
173 | * zero, and sets up 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 | static int BN_div_no_branch(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num, | ||
180 | const BIGNUM *divisor, BN_CTX *ctx); | ||
181 | int BN_div(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num, const BIGNUM *divisor, | ||
182 | BN_CTX *ctx) | ||
183 | { | ||
184 | int norm_shift,i,loop; | ||
185 | BIGNUM *tmp,wnum,*snum,*sdiv,*res; | ||
186 | BN_ULONG *resp,*wnump; | ||
187 | BN_ULONG d0,d1; | ||
188 | int num_n,div_n; | ||
189 | |||
190 | /* Invalid zero-padding would have particularly bad consequences | ||
191 | * in the case of 'num', so don't just rely on bn_check_top() for this one | ||
192 | * (bn_check_top() works only for BN_DEBUG builds) */ | ||
193 | if (num->top > 0 && num->d[num->top - 1] == 0) | ||
194 | { | ||
195 | BNerr(BN_F_BN_DIV,BN_R_NOT_INITIALIZED); | ||
196 | return 0; | ||
197 | } | ||
198 | |||
199 | bn_check_top(num); | ||
200 | |||
201 | if ((BN_get_flags(num, BN_FLG_CONSTTIME) != 0) || (BN_get_flags(divisor, BN_FLG_CONSTTIME) != 0)) | ||
202 | { | ||
203 | return BN_div_no_branch(dv, rm, num, divisor, ctx); | ||
204 | } | ||
205 | |||
206 | bn_check_top(dv); | ||
207 | bn_check_top(rm); | ||
208 | /* bn_check_top(num); */ /* 'num' has been checked already */ | ||
209 | bn_check_top(divisor); | ||
210 | |||
211 | if (BN_is_zero(divisor)) | ||
212 | { | ||
213 | BNerr(BN_F_BN_DIV,BN_R_DIV_BY_ZERO); | ||
214 | return(0); | ||
215 | } | ||
216 | |||
217 | if (BN_ucmp(num,divisor) < 0) | ||
218 | { | ||
219 | if (rm != NULL) | ||
220 | { if (BN_copy(rm,num) == NULL) return(0); } | ||
221 | if (dv != NULL) BN_zero(dv); | ||
222 | return(1); | ||
223 | } | ||
224 | |||
225 | BN_CTX_start(ctx); | ||
226 | tmp=BN_CTX_get(ctx); | ||
227 | snum=BN_CTX_get(ctx); | ||
228 | sdiv=BN_CTX_get(ctx); | ||
229 | if (dv == NULL) | ||
230 | res=BN_CTX_get(ctx); | ||
231 | else res=dv; | ||
232 | if (sdiv == NULL || res == NULL || tmp == NULL || snum == NULL) | ||
233 | goto err; | ||
234 | |||
235 | /* First we normalise the numbers */ | ||
236 | norm_shift=BN_BITS2-((BN_num_bits(divisor))%BN_BITS2); | ||
237 | if (!(BN_lshift(sdiv,divisor,norm_shift))) goto err; | ||
238 | sdiv->neg=0; | ||
239 | norm_shift+=BN_BITS2; | ||
240 | if (!(BN_lshift(snum,num,norm_shift))) goto err; | ||
241 | snum->neg=0; | ||
242 | div_n=sdiv->top; | ||
243 | num_n=snum->top; | ||
244 | loop=num_n-div_n; | ||
245 | /* Lets setup a 'window' into snum | ||
246 | * This is the part that corresponds to the current | ||
247 | * 'area' being divided */ | ||
248 | wnum.neg = 0; | ||
249 | wnum.d = &(snum->d[loop]); | ||
250 | wnum.top = div_n; | ||
251 | /* only needed when BN_ucmp messes up the values between top and max */ | ||
252 | wnum.dmax = snum->dmax - loop; /* so we don't step out of bounds */ | ||
253 | |||
254 | /* Get the top 2 words of sdiv */ | ||
255 | /* div_n=sdiv->top; */ | ||
256 | d0=sdiv->d[div_n-1]; | ||
257 | d1=(div_n == 1)?0:sdiv->d[div_n-2]; | ||
258 | |||
259 | /* pointer to the 'top' of snum */ | ||
260 | wnump= &(snum->d[num_n-1]); | ||
261 | |||
262 | /* Setup to 'res' */ | ||
263 | res->neg= (num->neg^divisor->neg); | ||
264 | if (!bn_wexpand(res,(loop+1))) goto err; | ||
265 | res->top=loop; | ||
266 | resp= &(res->d[loop-1]); | ||
267 | |||
268 | /* space for temp */ | ||
269 | if (!bn_wexpand(tmp,(div_n+1))) goto err; | ||
270 | |||
271 | if (BN_ucmp(&wnum,sdiv) >= 0) | ||
272 | { | ||
273 | /* If BN_DEBUG_RAND is defined BN_ucmp changes (via | ||
274 | * bn_pollute) the const bignum arguments => | ||
275 | * clean the values between top and max again */ | ||
276 | bn_clear_top2max(&wnum); | ||
277 | bn_sub_words(wnum.d, wnum.d, sdiv->d, div_n); | ||
278 | *resp=1; | ||
279 | } | ||
280 | else | ||
281 | res->top--; | ||
282 | /* if res->top == 0 then clear the neg value otherwise decrease | ||
283 | * the resp pointer */ | ||
284 | if (res->top == 0) | ||
285 | res->neg = 0; | ||
286 | else | ||
287 | resp--; | ||
288 | |||
289 | for (i=0; i<loop-1; i++, wnump--, resp--) | ||
290 | { | ||
291 | BN_ULONG q,l0; | ||
292 | /* the first part of the loop uses the top two words of | ||
293 | * snum and sdiv to calculate a BN_ULONG q such that | ||
294 | * | wnum - sdiv * q | < sdiv */ | ||
295 | #if defined(BN_DIV3W) && !defined(OPENSSL_NO_ASM) | ||
296 | BN_ULONG bn_div_3_words(BN_ULONG*,BN_ULONG,BN_ULONG); | ||
297 | q=bn_div_3_words(wnump,d1,d0); | ||
298 | #else | ||
299 | BN_ULONG n0,n1,rem=0; | ||
300 | |||
301 | n0=wnump[0]; | ||
302 | n1=wnump[-1]; | ||
303 | if (n0 == d0) | ||
304 | q=BN_MASK2; | ||
305 | else /* n0 < d0 */ | ||
306 | { | ||
307 | #ifdef BN_LLONG | ||
308 | BN_ULLONG t2; | ||
309 | |||
310 | #if defined(BN_LLONG) && defined(BN_DIV2W) && !defined(bn_div_words) | ||
311 | q=(BN_ULONG)(((((BN_ULLONG)n0)<<BN_BITS2)|n1)/d0); | ||
312 | #else | ||
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 | #endif | ||
320 | |||
321 | #ifndef REMAINDER_IS_ALREADY_CALCULATED | ||
322 | /* | ||
323 | * rem doesn't have to be BN_ULLONG. The least we | ||
324 | * know it's less that d0, isn't it? | ||
325 | */ | ||
326 | rem=(n1-q*d0)&BN_MASK2; | ||
327 | #endif | ||
328 | t2=(BN_ULLONG)d1*q; | ||
329 | |||
330 | for (;;) | ||
331 | { | ||
332 | if (t2 <= ((((BN_ULLONG)rem)<<BN_BITS2)|wnump[-2])) | ||
333 | break; | ||
334 | q--; | ||
335 | rem += d0; | ||
336 | if (rem < d0) break; /* don't let rem overflow */ | ||
337 | t2 -= d1; | ||
338 | } | ||
339 | #else /* !BN_LLONG */ | ||
340 | BN_ULONG t2l,t2h; | ||
341 | |||
342 | q=bn_div_words(n0,n1,d0); | ||
343 | #ifdef BN_DEBUG_LEVITTE | ||
344 | fprintf(stderr,"DEBUG: bn_div_words(0x%08X,0x%08X,0x%08\ | ||
345 | X) -> 0x%08X\n", | ||
346 | n0, n1, d0, q); | ||
347 | #endif | ||
348 | #ifndef REMAINDER_IS_ALREADY_CALCULATED | ||
349 | rem=(n1-q*d0)&BN_MASK2; | ||
350 | #endif | ||
351 | |||
352 | #if defined(BN_UMULT_LOHI) | ||
353 | BN_UMULT_LOHI(t2l,t2h,d1,q); | ||
354 | #elif defined(BN_UMULT_HIGH) | ||
355 | t2l = d1 * q; | ||
356 | t2h = BN_UMULT_HIGH(d1,q); | ||
357 | #else | ||
358 | { | ||
359 | BN_ULONG ql, qh; | ||
360 | t2l=LBITS(d1); t2h=HBITS(d1); | ||
361 | ql =LBITS(q); qh =HBITS(q); | ||
362 | mul64(t2l,t2h,ql,qh); /* t2=(BN_ULLONG)d1*q; */ | ||
363 | } | ||
364 | #endif | ||
365 | |||
366 | for (;;) | ||
367 | { | ||
368 | if ((t2h < rem) || | ||
369 | ((t2h == rem) && (t2l <= wnump[-2]))) | ||
370 | break; | ||
371 | q--; | ||
372 | rem += d0; | ||
373 | if (rem < d0) break; /* don't let rem overflow */ | ||
374 | if (t2l < d1) t2h--; t2l -= d1; | ||
375 | } | ||
376 | #endif /* !BN_LLONG */ | ||
377 | } | ||
378 | #endif /* !BN_DIV3W */ | ||
379 | |||
380 | l0=bn_mul_words(tmp->d,sdiv->d,div_n,q); | ||
381 | tmp->d[div_n]=l0; | ||
382 | wnum.d--; | ||
383 | /* ingore top values of the bignums just sub the two | ||
384 | * BN_ULONG arrays with bn_sub_words */ | ||
385 | if (bn_sub_words(wnum.d, wnum.d, tmp->d, div_n+1)) | ||
386 | { | ||
387 | /* Note: As we have considered only the leading | ||
388 | * two BN_ULONGs in the calculation of q, sdiv * q | ||
389 | * might be greater than wnum (but then (q-1) * sdiv | ||
390 | * is less or equal than wnum) | ||
391 | */ | ||
392 | q--; | ||
393 | if (bn_add_words(wnum.d, wnum.d, sdiv->d, div_n)) | ||
394 | /* we can't have an overflow here (assuming | ||
395 | * that q != 0, but if q == 0 then tmp is | ||
396 | * zero anyway) */ | ||
397 | (*wnump)++; | ||
398 | } | ||
399 | /* store part of the result */ | ||
400 | *resp = q; | ||
401 | } | ||
402 | bn_correct_top(snum); | ||
403 | if (rm != NULL) | ||
404 | { | ||
405 | /* Keep a copy of the neg flag in num because if rm==num | ||
406 | * BN_rshift() will overwrite it. | ||
407 | */ | ||
408 | int neg = num->neg; | ||
409 | BN_rshift(rm,snum,norm_shift); | ||
410 | if (!BN_is_zero(rm)) | ||
411 | rm->neg = neg; | ||
412 | bn_check_top(rm); | ||
413 | } | ||
414 | BN_CTX_end(ctx); | ||
415 | return(1); | ||
416 | err: | ||
417 | bn_check_top(rm); | ||
418 | BN_CTX_end(ctx); | ||
419 | return(0); | ||
420 | } | ||
421 | |||
422 | |||
423 | /* BN_div_no_branch is a special version of BN_div. It does not contain | ||
424 | * branches that may leak sensitive information. | ||
425 | */ | ||
426 | static int BN_div_no_branch(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num, | ||
427 | const BIGNUM *divisor, BN_CTX *ctx) | ||
428 | { | ||
429 | int norm_shift,i,loop; | ||
430 | BIGNUM *tmp,wnum,*snum,*sdiv,*res; | ||
431 | BN_ULONG *resp,*wnump; | ||
432 | BN_ULONG d0,d1; | ||
433 | int num_n,div_n; | ||
434 | |||
435 | bn_check_top(dv); | ||
436 | bn_check_top(rm); | ||
437 | /* bn_check_top(num); */ /* 'num' has been checked in BN_div() */ | ||
438 | bn_check_top(divisor); | ||
439 | |||
440 | if (BN_is_zero(divisor)) | ||
441 | { | ||
442 | BNerr(BN_F_BN_DIV_NO_BRANCH,BN_R_DIV_BY_ZERO); | ||
443 | return(0); | ||
444 | } | ||
445 | |||
446 | BN_CTX_start(ctx); | ||
447 | tmp=BN_CTX_get(ctx); | ||
448 | snum=BN_CTX_get(ctx); | ||
449 | sdiv=BN_CTX_get(ctx); | ||
450 | if (dv == NULL) | ||
451 | res=BN_CTX_get(ctx); | ||
452 | else res=dv; | ||
453 | if (sdiv == NULL || res == NULL) goto err; | ||
454 | |||
455 | /* First we normalise the numbers */ | ||
456 | norm_shift=BN_BITS2-((BN_num_bits(divisor))%BN_BITS2); | ||
457 | if (!(BN_lshift(sdiv,divisor,norm_shift))) goto err; | ||
458 | sdiv->neg=0; | ||
459 | norm_shift+=BN_BITS2; | ||
460 | if (!(BN_lshift(snum,num,norm_shift))) goto err; | ||
461 | snum->neg=0; | ||
462 | |||
463 | /* Since we don't know whether snum is larger than sdiv, | ||
464 | * we pad snum with enough zeroes without changing its | ||
465 | * value. | ||
466 | */ | ||
467 | if (snum->top <= sdiv->top+1) | ||
468 | { | ||
469 | if (bn_wexpand(snum, sdiv->top + 2) == NULL) goto err; | ||
470 | for (i = snum->top; i < sdiv->top + 2; i++) snum->d[i] = 0; | ||
471 | snum->top = sdiv->top + 2; | ||
472 | } | ||
473 | else | ||
474 | { | ||
475 | if (bn_wexpand(snum, snum->top + 1) == NULL) goto err; | ||
476 | snum->d[snum->top] = 0; | ||
477 | snum->top ++; | ||
478 | } | ||
479 | |||
480 | div_n=sdiv->top; | ||
481 | num_n=snum->top; | ||
482 | loop=num_n-div_n; | ||
483 | /* Lets setup a 'window' into snum | ||
484 | * This is the part that corresponds to the current | ||
485 | * 'area' being divided */ | ||
486 | wnum.neg = 0; | ||
487 | wnum.d = &(snum->d[loop]); | ||
488 | wnum.top = div_n; | ||
489 | /* only needed when BN_ucmp messes up the values between top and max */ | ||
490 | wnum.dmax = snum->dmax - loop; /* so we don't step out of bounds */ | ||
491 | |||
492 | /* Get the top 2 words of sdiv */ | ||
493 | /* div_n=sdiv->top; */ | ||
494 | d0=sdiv->d[div_n-1]; | ||
495 | d1=(div_n == 1)?0:sdiv->d[div_n-2]; | ||
496 | |||
497 | /* pointer to the 'top' of snum */ | ||
498 | wnump= &(snum->d[num_n-1]); | ||
499 | |||
500 | /* Setup to 'res' */ | ||
501 | res->neg= (num->neg^divisor->neg); | ||
502 | if (!bn_wexpand(res,(loop+1))) goto err; | ||
503 | res->top=loop-1; | ||
504 | resp= &(res->d[loop-1]); | ||
505 | |||
506 | /* space for temp */ | ||
507 | if (!bn_wexpand(tmp,(div_n+1))) goto err; | ||
508 | |||
509 | /* if res->top == 0 then clear the neg value otherwise decrease | ||
510 | * the resp pointer */ | ||
511 | if (res->top == 0) | ||
512 | res->neg = 0; | ||
513 | else | ||
514 | resp--; | ||
515 | |||
516 | for (i=0; i<loop-1; i++, wnump--, resp--) | ||
517 | { | ||
518 | BN_ULONG q,l0; | ||
519 | /* the first part of the loop uses the top two words of | ||
520 | * snum and sdiv to calculate a BN_ULONG q such that | ||
521 | * | wnum - sdiv * q | < sdiv */ | ||
522 | #if defined(BN_DIV3W) && !defined(OPENSSL_NO_ASM) | ||
523 | BN_ULONG bn_div_3_words(BN_ULONG*,BN_ULONG,BN_ULONG); | ||
524 | q=bn_div_3_words(wnump,d1,d0); | ||
525 | #else | ||
526 | BN_ULONG n0,n1,rem=0; | ||
527 | |||
528 | n0=wnump[0]; | ||
529 | n1=wnump[-1]; | ||
530 | if (n0 == d0) | ||
531 | q=BN_MASK2; | ||
532 | else /* n0 < d0 */ | ||
533 | { | ||
534 | #ifdef BN_LLONG | ||
535 | BN_ULLONG t2; | ||
536 | |||
537 | #if defined(BN_LLONG) && defined(BN_DIV2W) && !defined(bn_div_words) | ||
538 | q=(BN_ULONG)(((((BN_ULLONG)n0)<<BN_BITS2)|n1)/d0); | ||
539 | #else | ||
540 | q=bn_div_words(n0,n1,d0); | ||
541 | #ifdef BN_DEBUG_LEVITTE | ||
542 | fprintf(stderr,"DEBUG: bn_div_words(0x%08X,0x%08X,0x%08\ | ||
543 | X) -> 0x%08X\n", | ||
544 | n0, n1, d0, q); | ||
545 | #endif | ||
546 | #endif | ||
547 | |||
548 | #ifndef REMAINDER_IS_ALREADY_CALCULATED | ||
549 | /* | ||
550 | * rem doesn't have to be BN_ULLONG. The least we | ||
551 | * know it's less that d0, isn't it? | ||
552 | */ | ||
553 | rem=(n1-q*d0)&BN_MASK2; | ||
554 | #endif | ||
555 | t2=(BN_ULLONG)d1*q; | ||
556 | |||
557 | for (;;) | ||
558 | { | ||
559 | if (t2 <= ((((BN_ULLONG)rem)<<BN_BITS2)|wnump[-2])) | ||
560 | break; | ||
561 | q--; | ||
562 | rem += d0; | ||
563 | if (rem < d0) break; /* don't let rem overflow */ | ||
564 | t2 -= d1; | ||
565 | } | ||
566 | #else /* !BN_LLONG */ | ||
567 | BN_ULONG t2l,t2h; | ||
568 | |||
569 | q=bn_div_words(n0,n1,d0); | ||
570 | #ifdef BN_DEBUG_LEVITTE | ||
571 | fprintf(stderr,"DEBUG: bn_div_words(0x%08X,0x%08X,0x%08\ | ||
572 | X) -> 0x%08X\n", | ||
573 | n0, n1, d0, q); | ||
574 | #endif | ||
575 | #ifndef REMAINDER_IS_ALREADY_CALCULATED | ||
576 | rem=(n1-q*d0)&BN_MASK2; | ||
577 | #endif | ||
578 | |||
579 | #if defined(BN_UMULT_LOHI) | ||
580 | BN_UMULT_LOHI(t2l,t2h,d1,q); | ||
581 | #elif defined(BN_UMULT_HIGH) | ||
582 | t2l = d1 * q; | ||
583 | t2h = BN_UMULT_HIGH(d1,q); | ||
584 | #else | ||
585 | { | ||
586 | BN_ULONG ql, qh; | ||
587 | t2l=LBITS(d1); t2h=HBITS(d1); | ||
588 | ql =LBITS(q); qh =HBITS(q); | ||
589 | mul64(t2l,t2h,ql,qh); /* t2=(BN_ULLONG)d1*q; */ | ||
590 | } | ||
591 | #endif | ||
592 | |||
593 | for (;;) | ||
594 | { | ||
595 | if ((t2h < rem) || | ||
596 | ((t2h == rem) && (t2l <= wnump[-2]))) | ||
597 | break; | ||
598 | q--; | ||
599 | rem += d0; | ||
600 | if (rem < d0) break; /* don't let rem overflow */ | ||
601 | if (t2l < d1) t2h--; t2l -= d1; | ||
602 | } | ||
603 | #endif /* !BN_LLONG */ | ||
604 | } | ||
605 | #endif /* !BN_DIV3W */ | ||
606 | |||
607 | l0=bn_mul_words(tmp->d,sdiv->d,div_n,q); | ||
608 | tmp->d[div_n]=l0; | ||
609 | wnum.d--; | ||
610 | /* ingore top values of the bignums just sub the two | ||
611 | * BN_ULONG arrays with bn_sub_words */ | ||
612 | if (bn_sub_words(wnum.d, wnum.d, tmp->d, div_n+1)) | ||
613 | { | ||
614 | /* Note: As we have considered only the leading | ||
615 | * two BN_ULONGs in the calculation of q, sdiv * q | ||
616 | * might be greater than wnum (but then (q-1) * sdiv | ||
617 | * is less or equal than wnum) | ||
618 | */ | ||
619 | q--; | ||
620 | if (bn_add_words(wnum.d, wnum.d, sdiv->d, div_n)) | ||
621 | /* we can't have an overflow here (assuming | ||
622 | * that q != 0, but if q == 0 then tmp is | ||
623 | * zero anyway) */ | ||
624 | (*wnump)++; | ||
625 | } | ||
626 | /* store part of the result */ | ||
627 | *resp = q; | ||
628 | } | ||
629 | bn_correct_top(snum); | ||
630 | if (rm != NULL) | ||
631 | { | ||
632 | /* Keep a copy of the neg flag in num because if rm==num | ||
633 | * BN_rshift() will overwrite it. | ||
634 | */ | ||
635 | int neg = num->neg; | ||
636 | BN_rshift(rm,snum,norm_shift); | ||
637 | if (!BN_is_zero(rm)) | ||
638 | rm->neg = neg; | ||
639 | bn_check_top(rm); | ||
640 | } | ||
641 | bn_correct_top(res); | ||
642 | BN_CTX_end(ctx); | ||
643 | return(1); | ||
644 | err: | ||
645 | bn_check_top(rm); | ||
646 | BN_CTX_end(ctx); | ||
647 | return(0); | ||
648 | } | ||
649 | |||
650 | #endif | ||