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d02b48c6 1/* crypto/bn/bn_recp.c */
58964a49 2/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
d02b48c6
RE
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
73e45b2d 59
7edfe674 60
d02b48c6
RE
61#include "cryptlib.h"
62#include "bn_lcl.h"
63
6b691a5c 64void BN_RECP_CTX_init(BN_RECP_CTX *recp)
dfeab068
RE
65 {
66 BN_init(&(recp->N));
67 BN_init(&(recp->Nr));
68 recp->num_bits=0;
69 recp->flags=0;
70 }
71
6b691a5c 72BN_RECP_CTX *BN_RECP_CTX_new(void)
dfeab068
RE
73 {
74 BN_RECP_CTX *ret;
75
26a3a48d 76 if ((ret=(BN_RECP_CTX *)OPENSSL_malloc(sizeof(BN_RECP_CTX))) == NULL)
dfeab068
RE
77 return(NULL);
78
79 BN_RECP_CTX_init(ret);
80 ret->flags=BN_FLG_MALLOCED;
81 return(ret);
82 }
83
6b691a5c 84void BN_RECP_CTX_free(BN_RECP_CTX *recp)
dfeab068 85 {
e03ddfae
BL
86 if(recp == NULL)
87 return;
88
dfeab068
RE
89 BN_free(&(recp->N));
90 BN_free(&(recp->Nr));
91 if (recp->flags & BN_FLG_MALLOCED)
26a3a48d 92 OPENSSL_free(recp);
dfeab068
RE
93 }
94
84c15db5 95int BN_RECP_CTX_set(BN_RECP_CTX *recp, const BIGNUM *d, BN_CTX *ctx)
dfeab068 96 {
8dea52fa 97 if (!BN_copy(&(recp->N),d)) return 0;
b6358c89 98 BN_zero(&(recp->Nr));
dfeab068
RE
99 recp->num_bits=BN_num_bits(d);
100 recp->shift=0;
101 return(1);
102 }
103
020fc820
RL
104int BN_mod_mul_reciprocal(BIGNUM *r, const BIGNUM *x, const BIGNUM *y,
105 BN_RECP_CTX *recp, BN_CTX *ctx)
dfeab068
RE
106 {
107 int ret=0;
108 BIGNUM *a;
020fc820 109 const BIGNUM *ca;
dfeab068 110
9b141126
UM
111 BN_CTX_start(ctx);
112 if ((a = BN_CTX_get(ctx)) == NULL) goto err;
dfeab068
RE
113 if (y != NULL)
114 {
115 if (x == y)
116 { if (!BN_sqr(a,x,ctx)) goto err; }
117 else
118 { if (!BN_mul(a,x,y,ctx)) goto err; }
020fc820 119 ca = a;
dfeab068
RE
120 }
121 else
020fc820 122 ca=x; /* Just do the mod */
dfeab068 123
8dea52fa 124 ret = BN_div_recp(NULL,r,ca,recp,ctx);
dfeab068 125err:
9b141126 126 BN_CTX_end(ctx);
d870740c 127 bn_check_top(r);
dfeab068
RE
128 return(ret);
129 }
130
020fc820
RL
131int BN_div_recp(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m,
132 BN_RECP_CTX *recp, BN_CTX *ctx)
d02b48c6 133 {
63933136 134 int i,j,ret=0;
dfeab068
RE
135 BIGNUM *a,*b,*d,*r;
136
9b141126
UM
137 BN_CTX_start(ctx);
138 a=BN_CTX_get(ctx);
139 b=BN_CTX_get(ctx);
dfeab068
RE
140 if (dv != NULL)
141 d=dv;
142 else
9b141126 143 d=BN_CTX_get(ctx);
dfeab068
RE
144 if (rem != NULL)
145 r=rem;
146 else
9b141126
UM
147 r=BN_CTX_get(ctx);
148 if (a == NULL || b == NULL || d == NULL || r == NULL) goto err;
dfeab068
RE
149
150 if (BN_ucmp(m,&(recp->N)) < 0)
151 {
b6358c89 152 BN_zero(d);
8dea52fa 153 if (!BN_copy(r,m)) return 0;
9b141126 154 BN_CTX_end(ctx);
dfeab068
RE
155 return(1);
156 }
d02b48c6 157
dfeab068
RE
158 /* We want the remainder
159 * Given input of ABCDEF / ab
160 * we need multiply ABCDEF by 3 digests of the reciprocal of ab
161 *
162 */
d02b48c6 163
8dea52fa
BM
164 /* i := max(BN_num_bits(m), 2*BN_num_bits(N)) */
165 i=BN_num_bits(m);
63933136
AP
166 j=recp->num_bits<<1;
167 if (j>i) i=j;
dfeab068 168
8dea52fa 169 /* Nr := round(2^i / N) */
dfeab068
RE
170 if (i != recp->shift)
171 recp->shift=BN_reciprocal(&(recp->Nr),&(recp->N),
78a0c1f1
BM
172 i,ctx); /* BN_reciprocal returns i, or -1 for an error */
173 if (recp->shift == -1) goto err;
dfeab068 174
8dea52fa
BM
175 /* d := |round(round(m / 2^BN_num_bits(N)) * recp->Nr / 2^(i - BN_num_bits(N)))|
176 * = |round(round(m / 2^BN_num_bits(N)) * round(2^i / N) / 2^(i - BN_num_bits(N)))|
177 * <= |(m / 2^BN_num_bits(N)) * (2^i / N) * (2^BN_num_bits(N) / 2^i)|
178 * = |m/N|
179 */
180 if (!BN_rshift(a,m,recp->num_bits)) goto err;
dfeab068 181 if (!BN_mul(b,a,&(recp->Nr),ctx)) goto err;
8dea52fa 182 if (!BN_rshift(d,b,i-recp->num_bits)) goto err;
dfeab068 183 d->neg=0;
8dea52fa 184
dfeab068
RE
185 if (!BN_mul(b,&(recp->N),d,ctx)) goto err;
186 if (!BN_usub(r,m,b)) goto err;
187 r->neg=0;
188
dfeab068 189#if 1
63933136 190 j=0;
dfeab068 191 while (BN_ucmp(r,&(recp->N)) >= 0)
d02b48c6
RE
192 {
193 if (j++ > 2)
194 {
aa4ce731 195 BNerr(BN_F_BN_DIV_RECP,BN_R_BAD_RECIPROCAL);
d02b48c6
RE
196 goto err;
197 }
dfeab068
RE
198 if (!BN_usub(r,r,&(recp->N))) goto err;
199 if (!BN_add_word(d,1)) goto err;
d02b48c6 200 }
dfeab068 201#endif
d02b48c6 202
dfeab068
RE
203 r->neg=BN_is_zero(r)?0:m->neg;
204 d->neg=m->neg^recp->N.neg;
d02b48c6
RE
205 ret=1;
206err:
9b141126 207 BN_CTX_end(ctx);
8215e7a9
NL
208 bn_check_top(dv);
209 bn_check_top(rem);
d02b48c6 210 return(ret);
dfeab068 211 }
d02b48c6 212
dfeab068
RE
213/* len is the expected size of the result
214 * We actually calculate with an extra word of precision, so
215 * we can do faster division if the remainder is not required.
216 */
78a0c1f1 217/* r := 2^len / m */
6343829a 218int BN_reciprocal(BIGNUM *r, const BIGNUM *m, int len, BN_CTX *ctx)
d02b48c6 219 {
dfeab068 220 int ret= -1;
c86f2054 221 BIGNUM *t;
d02b48c6 222
c86f2054
GT
223 BN_CTX_start(ctx);
224 if((t = BN_CTX_get(ctx)) == NULL) goto err;
d02b48c6 225
c86f2054 226 if (!BN_set_bit(t,len)) goto err;
d02b48c6 227
c86f2054 228 if (!BN_div(r,NULL,t,m,ctx)) goto err;
8dea52fa 229
dfeab068 230 ret=len;
d02b48c6 231err:
d870740c 232 bn_check_top(r);
c86f2054 233 BN_CTX_end(ctx);
d02b48c6
RE
234 return(ret);
235 }