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Diffstat (limited to 'src/lib/libcrypto/bn/bn_div.c')
-rw-r--r-- | src/lib/libcrypto/bn/bn_div.c | 286 |
1 files changed, 286 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..2263bdc7da --- /dev/null +++ b/src/lib/libcrypto/bn/bn_div.c | |||
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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 "cryptlib.h" | ||
61 | #include "bn_lcl.h" | ||
62 | |||
63 | /* The old slow way */ | ||
64 | #if 0 | ||
65 | int BN_div(dv, rem, m, d,ctx) | ||
66 | BIGNUM *dv; | ||
67 | BIGNUM *rem; | ||
68 | BIGNUM *m; | ||
69 | BIGNUM *d; | ||
70 | BN_CTX *ctx; | ||
71 | { | ||
72 | int i,nm,nd; | ||
73 | BIGNUM *D; | ||
74 | |||
75 | if (BN_is_zero(d)) | ||
76 | { | ||
77 | BNerr(BN_F_BN_DIV,BN_R_DIV_BY_ZERO); | ||
78 | return(0); | ||
79 | } | ||
80 | |||
81 | if (BN_ucmp(m,d) < 0) | ||
82 | { | ||
83 | if (rem != NULL) | ||
84 | { if (BN_copy(rem,m) == NULL) return(0); } | ||
85 | if (dv != NULL) BN_zero(dv); | ||
86 | return(1); | ||
87 | } | ||
88 | |||
89 | D=ctx->bn[ctx->tos]; | ||
90 | if (dv == NULL) dv=ctx->bn[ctx->tos+1]; | ||
91 | if (rem == NULL) rem=ctx->bn[ctx->tos+2]; | ||
92 | |||
93 | nd=BN_num_bits(d); | ||
94 | nm=BN_num_bits(m); | ||
95 | if (BN_copy(D,d) == NULL) return(0); | ||
96 | if (BN_copy(rem,m) == NULL) return(0); | ||
97 | |||
98 | /* The next 2 are needed so we can do a dv->d[0]|=1 later | ||
99 | * since BN_lshift1 will only work once there is a value :-) */ | ||
100 | BN_zero(dv); | ||
101 | dv->top=1; | ||
102 | |||
103 | if (!BN_lshift(D,D,nm-nd)) return(0); | ||
104 | for (i=nm-nd; i>=0; i--) | ||
105 | { | ||
106 | if (!BN_lshift1(dv,dv)) return(0); | ||
107 | if (BN_ucmp(rem,D) >= 0) | ||
108 | { | ||
109 | dv->d[0]|=1; | ||
110 | bn_qsub(rem,rem,D); | ||
111 | } | ||
112 | /* CAN IMPROVE (and have now :=) */ | ||
113 | if (!BN_rshift1(D,D)) return(0); | ||
114 | } | ||
115 | rem->neg=BN_is_zero(rem)?0:m->neg; | ||
116 | dv->neg=m->neg^d->neg; | ||
117 | return(1); | ||
118 | } | ||
119 | |||
120 | #else | ||
121 | |||
122 | int BN_div(dv, rm, num, divisor,ctx) | ||
123 | BIGNUM *dv; | ||
124 | BIGNUM *rm; | ||
125 | BIGNUM *num; | ||
126 | BIGNUM *divisor; | ||
127 | BN_CTX *ctx; | ||
128 | { | ||
129 | int norm_shift,i,j,loop; | ||
130 | BIGNUM *tmp,wnum,*snum,*sdiv,*res; | ||
131 | BN_ULONG *resp,*wnump; | ||
132 | BN_ULONG d0,d1; | ||
133 | int num_n,div_n; | ||
134 | |||
135 | if (BN_is_zero(divisor)) | ||
136 | { | ||
137 | BNerr(BN_F_BN_DIV,BN_R_DIV_BY_ZERO); | ||
138 | return(0); | ||
139 | } | ||
140 | |||
141 | if (BN_ucmp(num,divisor) < 0) | ||
142 | { | ||
143 | if (rm != NULL) | ||
144 | { if (BN_copy(rm,num) == NULL) return(0); } | ||
145 | if (dv != NULL) BN_zero(dv); | ||
146 | return(1); | ||
147 | } | ||
148 | |||
149 | tmp=ctx->bn[ctx->tos]; | ||
150 | tmp->neg=0; | ||
151 | snum=ctx->bn[ctx->tos+1]; | ||
152 | sdiv=ctx->bn[ctx->tos+2]; | ||
153 | if (dv == NULL) | ||
154 | res=ctx->bn[ctx->tos+3]; | ||
155 | else res=dv; | ||
156 | |||
157 | /* First we normalise the numbers */ | ||
158 | norm_shift=BN_BITS2-((BN_num_bits(divisor))%BN_BITS2); | ||
159 | BN_lshift(sdiv,divisor,norm_shift); | ||
160 | sdiv->neg=0; | ||
161 | norm_shift+=BN_BITS2; | ||
162 | BN_lshift(snum,num,norm_shift); | ||
163 | snum->neg=0; | ||
164 | div_n=sdiv->top; | ||
165 | num_n=snum->top; | ||
166 | loop=num_n-div_n; | ||
167 | |||
168 | /* Lets setup a 'window' into snum | ||
169 | * This is the part that corresponds to the current | ||
170 | * 'area' being divided */ | ||
171 | wnum.d= &(snum->d[loop]); | ||
172 | wnum.top= div_n; | ||
173 | wnum.max= snum->max; /* a bit of a lie */ | ||
174 | wnum.neg= 0; | ||
175 | |||
176 | /* Get the top 2 words of sdiv */ | ||
177 | /* i=sdiv->top; */ | ||
178 | d0=sdiv->d[div_n-1]; | ||
179 | d1=(div_n == 1)?0:sdiv->d[div_n-2]; | ||
180 | |||
181 | /* pointer to the 'top' of snum */ | ||
182 | wnump= &(snum->d[num_n-1]); | ||
183 | |||
184 | /* Setup to 'res' */ | ||
185 | res->neg= (num->neg^divisor->neg); | ||
186 | res->top=loop; | ||
187 | if (!bn_wexpand(res,(loop+1))) goto err; | ||
188 | resp= &(res->d[loop-1]); | ||
189 | |||
190 | /* space for temp */ | ||
191 | if (!bn_wexpand(tmp,(div_n+1))) goto err; | ||
192 | |||
193 | if (BN_ucmp(&wnum,sdiv) >= 0) | ||
194 | { | ||
195 | bn_qsub(&wnum,&wnum,sdiv); | ||
196 | *resp=1; | ||
197 | res->d[res->top-1]=1; | ||
198 | } | ||
199 | else | ||
200 | res->top--; | ||
201 | resp--; | ||
202 | |||
203 | for (i=0; i<loop-1; i++) | ||
204 | { | ||
205 | BN_ULONG q,n0,n1; | ||
206 | BN_ULONG l0; | ||
207 | |||
208 | wnum.d--; wnum.top++; | ||
209 | n0=wnump[0]; | ||
210 | n1=wnump[-1]; | ||
211 | if (n0 == d0) | ||
212 | q=BN_MASK2; | ||
213 | else | ||
214 | q=bn_div64(n0,n1,d0); | ||
215 | { | ||
216 | #ifdef BN_LLONG | ||
217 | BN_ULLONG t1,t2,rem; | ||
218 | t1=((BN_ULLONG)n0<<BN_BITS2)|n1; | ||
219 | for (;;) | ||
220 | { | ||
221 | t2=(BN_ULLONG)d1*q; | ||
222 | rem=t1-(BN_ULLONG)q*d0; | ||
223 | if ((rem>>BN_BITS2) || | ||
224 | (t2 <= ((BN_ULLONG)(rem<<BN_BITS2)+wnump[-2]))) | ||
225 | break; | ||
226 | q--; | ||
227 | } | ||
228 | #else | ||
229 | BN_ULONG t1l,t1h,t2l,t2h,t3l,t3h,ql,qh,t3t; | ||
230 | t1h=n0; | ||
231 | t1l=n1; | ||
232 | for (;;) | ||
233 | { | ||
234 | t2l=LBITS(d1); t2h=HBITS(d1); | ||
235 | ql =LBITS(q); qh =HBITS(q); | ||
236 | mul64(t2l,t2h,ql,qh); /* t2=(BN_ULLONG)d1*q; */ | ||
237 | |||
238 | t3t=LBITS(d0); t3h=HBITS(d0); | ||
239 | mul64(t3t,t3h,ql,qh); /* t3=t1-(BN_ULLONG)q*d0; */ | ||
240 | t3l=(t1l-t3t)&BN_MASK2; | ||
241 | if (t3l > t1l) t3h++; | ||
242 | t3h=(t1h-t3h)&BN_MASK2; | ||
243 | |||
244 | /*if ((t3>>BN_BITS2) || | ||
245 | (t2 <= ((t3<<BN_BITS2)+wnump[-2]))) | ||
246 | break; */ | ||
247 | if (t3h) break; | ||
248 | if (t2h < t3l) break; | ||
249 | if ((t2h == t3l) && (t2l <= wnump[-2])) break; | ||
250 | |||
251 | q--; | ||
252 | } | ||
253 | #endif | ||
254 | } | ||
255 | l0=bn_mul_words(tmp->d,sdiv->d,div_n,q); | ||
256 | tmp->d[div_n]=l0; | ||
257 | for (j=div_n+1; j>0; j--) | ||
258 | if (tmp->d[j-1]) break; | ||
259 | tmp->top=j; | ||
260 | |||
261 | j=wnum.top; | ||
262 | BN_sub(&wnum,&wnum,tmp); | ||
263 | |||
264 | snum->top=snum->top+wnum.top-j; | ||
265 | |||
266 | if (wnum.neg) | ||
267 | { | ||
268 | q--; | ||
269 | j=wnum.top; | ||
270 | BN_add(&wnum,&wnum,sdiv); | ||
271 | snum->top+=wnum.top-j; | ||
272 | } | ||
273 | *(resp--)=q; | ||
274 | wnump--; | ||
275 | } | ||
276 | if (rm != NULL) | ||
277 | { | ||
278 | BN_rshift(rm,snum,norm_shift); | ||
279 | rm->neg=num->neg; | ||
280 | } | ||
281 | return(1); | ||
282 | err: | ||
283 | return(0); | ||
284 | } | ||
285 | |||
286 | #endif | ||