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1/* crypto/bn/bn_mont.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
63int BN_mod_mul_montgomery(r,a,b,mont,ctx)
64BIGNUM *r,*a,*b;
65BN_MONT_CTX *mont;
66BN_CTX *ctx;
67 {
68 BIGNUM *tmp;
69
70 tmp=ctx->bn[ctx->tos++];
71
72 if (a == b)
73 {
74 if (!BN_sqr(tmp,a,ctx)) goto err;
75 }
76 else
77 {
78 if (!BN_mul(tmp,a,b)) goto err;
79 }
80 /* reduce from aRR to aR */
81 if (!BN_from_montgomery(r,tmp,mont,ctx)) goto err;
82 ctx->tos--;
83 return(1);
84err:
85 return(0);
86 }
87
88#define MONT_WORD
89
90#ifdef MONT_WORD
91int BN_from_montgomery(ret,a,mont,ctx)
92BIGNUM *ret;
93BIGNUM *a;
94BN_MONT_CTX *mont;
95BN_CTX *ctx;
96 {
97 BIGNUM *n,*t1,*r;
98 BN_ULONG *ap,*np,*rp,n0,v;
99 int al,nl,max,i,x,ri;
100 int retn=0;
101
102 t1=ctx->bn[ctx->tos];
103 r=ctx->bn[ctx->tos+1];
104
105 if (!BN_copy(r,a)) goto err;
106 n=mont->N;
107
108 ap=a->d;
109 /* mont->ri is the size of mont->N in bits/words */
110 al=ri=mont->ri/BN_BITS2;
111
112 nl=n->top;
113 if ((al == 0) || (nl == 0)) { r->top=0; return(1); }
114
115 max=(nl+al+1); /* allow for overflow (no?) XXX */
116 if (bn_wexpand(r,max) == NULL) goto err;
117 if (bn_wexpand(ret,max) == NULL) goto err;
118
119 r->neg=a->neg^n->neg;
120 np=n->d;
121 rp=r->d;
122
123 /* clear the top words of T */
124#if 1
125 for (i=r->top; i<max; i++) /* memset? XXX */
126 r->d[i]=0;
127#else
128 memset(&(r->d[r->top]),0,(max-r->top)*sizeof(BN_ULONG));
129#endif
130
131 r->top=max;
132 n0=mont->n0;
133
134 for (i=0; i<nl; i++)
135 {
136#if 0
137 int x1,x2;
138
139 if (i+4 > nl)
140 {
141 x2=nl;
142 x1=0;
143 }
144 else
145 {
146 x2=i+4;
147 x1=nl-x2;
148 }
149 v=bn_mul_add_words(&(rp[x1]),&(np[x1]),x2,(rp[x1]*n0)&BN_MASK2);
150#else
151 v=bn_mul_add_words(rp,np,nl,(rp[0]*n0)&BN_MASK2);
152#endif
153
154 if (((rp[nl]+=v)&BN_MASK2) < v)
155 {
156 for (x=(nl+1); (((++rp[x])&BN_MASK2) == 0); x++)
157 ;
158 }
159 rp++;
160 }
161 while (r->d[r->top-1] == 0)
162 r->top--;
163
164 /* mont->ri will be a multiple of the word size */
165#if 0
166 BN_rshift(ret,r,mont->ri);
167#else
168 ap=r->d;
169 rp=ret->d;
170 x=ri;
171 al=r->top-x;
172 for (i=0; i<al; i++)
173 {
174 rp[i]=ap[i+x];
175 }
176 ret->top=al;
177#endif
178
179 if (BN_ucmp(ret,mont->N) >= 0)
180 {
181 bn_qsub(ret,ret,mont->N); /* XXX */
182 }
183 retn=1;
184err:
185 return(retn);
186 }
187#else
188int BN_from_montgomery(r,a,mont,ctx)
189BIGNUM *r;
190BIGNUM *a;
191BN_MONT_CTX *mont;
192BN_CTX *ctx;
193 {
194 BIGNUM *t1,*t2;
195
196 t1=ctx->bn[ctx->tos];
197 t2=ctx->bn[ctx->tos+1];
198
199 if (!BN_copy(t1,a)) goto err;
200 /* can cheat */
201 BN_mask_bits(t1,mont->ri);
202
203 if (!BN_mul(t2,t1,mont->Ni)) goto err;
204 BN_mask_bits(t2,mont->ri);
205
206 if (!BN_mul(t1,t2,mont->N)) goto err;
207 if (!BN_add(t2,a,t1)) goto err;
208 BN_rshift(r,t2,mont->ri);
209
210 if (BN_ucmp(r,mont->N) >= 0)
211 bn_qsub(r,r,mont->N);
212
213 return(1);
214err:
215 return(0);
216 }
217#endif
218
219BN_MONT_CTX *BN_MONT_CTX_new()
220 {
221 BN_MONT_CTX *ret;
222
223 if ((ret=(BN_MONT_CTX *)Malloc(sizeof(BN_MONT_CTX))) == NULL)
224 return(NULL);
225 ret->ri=0;
226 ret->RR=BN_new();
227 ret->N=BN_new();
228 ret->Ni=NULL;
229 if ((ret->RR == NULL) || (ret->N == NULL))
230 {
231 BN_MONT_CTX_free(ret);
232 return(NULL);
233 }
234 return(ret);
235 }
236
237void BN_MONT_CTX_free(mont)
238BN_MONT_CTX *mont;
239 {
240 if (mont->RR != NULL) BN_free(mont->RR);
241 if (mont->N != NULL) BN_free(mont->N);
242 if (mont->Ni != NULL) BN_free(mont->Ni);
243 Free(mont);
244 }
245
246int BN_MONT_CTX_set(mont,mod,ctx)
247BN_MONT_CTX *mont;
248BIGNUM *mod;
249BN_CTX *ctx;
250 {
251 BIGNUM *Ri=NULL,*R=NULL;
252
253 if (mont->RR == NULL) mont->RR=BN_new();
254 if (mont->N == NULL) mont->N=BN_new();
255
256 R=mont->RR; /* grab RR as a temp */
257 BN_copy(mont->N,mod); /* Set N */
258
259#ifdef MONT_WORD
260{
261 BIGNUM tmod;
262 BN_ULONG buf[2];
263 /* int z; */
264
265 mont->ri=(BN_num_bits(mod)+(BN_BITS2-1))/BN_BITS2*BN_BITS2;
266 BN_lshift(R,BN_value_one(),BN_BITS2); /* R */
267 /* I was bad, this modification of a passed variable was
268 * breaking the multithreaded stuff :-(
269 * z=mod->top;
270 * mod->top=1; */
271
272 buf[0]=mod->d[0];
273 buf[1]=0;
274 tmod.d=buf;
275 tmod.top=1;
276 tmod.max=mod->max;
277 tmod.neg=mod->neg;
278
279 if ((Ri=BN_mod_inverse(R,&tmod,ctx)) == NULL) goto err; /* Ri */
280 BN_lshift(Ri,Ri,BN_BITS2); /* R*Ri */
281 bn_qsub(Ri,Ri,BN_value_one()); /* R*Ri - 1 */
282 BN_div(Ri,NULL,Ri,&tmod,ctx);
283 mont->n0=Ri->d[0];
284 BN_free(Ri);
285 /* mod->top=z; */
286}
287#else
288 mont->ri=BN_num_bits(mod);
289 BN_lshift(R,BN_value_one(),mont->ri); /* R */
290 if ((Ri=BN_mod_inverse(R,mod,ctx)) == NULL) goto err; /* Ri */
291 BN_lshift(Ri,Ri,mont->ri); /* R*Ri */
292 bn_qsub(Ri,Ri,BN_value_one()); /* R*Ri - 1 */
293 BN_div(Ri,NULL,Ri,mod,ctx);
294 if (mont->Ni != NULL) BN_free(mont->Ni);
295 mont->Ni=Ri; /* Ni=(R*Ri-1)/N */
296#endif
297
298 /* setup RR for conversions */
299 BN_lshift(mont->RR,BN_value_one(),mont->ri*2);
300 BN_mod(mont->RR,mont->RR,mont->N,ctx);
301
302 return(1);
303err:
304 return(0);
305 }
306