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[thirdparty/openssl.git] / crypto / bn / bn_recp.c
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4f22f405 1/*
edea42c6 2 * Copyright 1995-2017 The OpenSSL Project Authors. All Rights Reserved.
d02b48c6 3 *
4f22f405
RS
4 * Licensed under the OpenSSL license (the "License"). You may not use
5 * this file except in compliance with the License. You can obtain a copy
6 * in the file LICENSE in the source distribution or at
7 * https://www.openssl.org/source/license.html
d02b48c6
RE
8 */
9
b39fc560 10#include "internal/cryptlib.h"
d02b48c6
RE
11#include "bn_lcl.h"
12
6b691a5c 13void BN_RECP_CTX_init(BN_RECP_CTX *recp)
0f113f3e 14{
318447bc 15 memset(recp, 0, sizeof(*recp));
d59c7c81
RS
16 bn_init(&(recp->N));
17 bn_init(&(recp->Nr));
0f113f3e 18}
dfeab068 19
6b691a5c 20BN_RECP_CTX *BN_RECP_CTX_new(void)
0f113f3e
MC
21{
22 BN_RECP_CTX *ret;
dfeab068 23
a2d0baa2 24 if ((ret = OPENSSL_zalloc(sizeof(*ret))) == NULL)
0f113f3e 25 return (NULL);
dfeab068 26
318447bc
F
27 bn_init(&(ret->N));
28 bn_init(&(ret->Nr));
0f113f3e
MC
29 ret->flags = BN_FLG_MALLOCED;
30 return (ret);
31}
dfeab068 32
6b691a5c 33void BN_RECP_CTX_free(BN_RECP_CTX *recp)
0f113f3e
MC
34{
35 if (recp == NULL)
36 return;
e03ddfae 37
0f113f3e
MC
38 BN_free(&(recp->N));
39 BN_free(&(recp->Nr));
40 if (recp->flags & BN_FLG_MALLOCED)
41 OPENSSL_free(recp);
42}
dfeab068 43
84c15db5 44int BN_RECP_CTX_set(BN_RECP_CTX *recp, const BIGNUM *d, BN_CTX *ctx)
0f113f3e
MC
45{
46 if (!BN_copy(&(recp->N), d))
47 return 0;
48 BN_zero(&(recp->Nr));
49 recp->num_bits = BN_num_bits(d);
50 recp->shift = 0;
51 return (1);
52}
dfeab068 53
020fc820 54int BN_mod_mul_reciprocal(BIGNUM *r, const BIGNUM *x, const BIGNUM *y,
0f113f3e
MC
55 BN_RECP_CTX *recp, BN_CTX *ctx)
56{
57 int ret = 0;
58 BIGNUM *a;
59 const BIGNUM *ca;
60
61 BN_CTX_start(ctx);
62 if ((a = BN_CTX_get(ctx)) == NULL)
63 goto err;
64 if (y != NULL) {
65 if (x == y) {
66 if (!BN_sqr(a, x, ctx))
67 goto err;
68 } else {
69 if (!BN_mul(a, x, y, ctx))
70 goto err;
71 }
72 ca = a;
73 } else
74 ca = x; /* Just do the mod */
75
76 ret = BN_div_recp(NULL, r, ca, recp, ctx);
77 err:
78 BN_CTX_end(ctx);
79 bn_check_top(r);
80 return (ret);
81}
dfeab068 82
020fc820 83int BN_div_recp(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m,
0f113f3e
MC
84 BN_RECP_CTX *recp, BN_CTX *ctx)
85{
86 int i, j, ret = 0;
87 BIGNUM *a, *b, *d, *r;
88
89 BN_CTX_start(ctx);
edea42c6
PY
90 d = (dv != NULL) ? dv : BN_CTX_get(ctx);
91 r = (rem != NULL) ? rem : BN_CTX_get(ctx);
0f113f3e
MC
92 a = BN_CTX_get(ctx);
93 b = BN_CTX_get(ctx);
edea42c6 94 if (b == NULL)
0f113f3e
MC
95 goto err;
96
97 if (BN_ucmp(m, &(recp->N)) < 0) {
98 BN_zero(d);
3f6c7691
AG
99 if (!BN_copy(r, m)) {
100 BN_CTX_end(ctx);
0f113f3e 101 return 0;
3f6c7691 102 }
0f113f3e
MC
103 BN_CTX_end(ctx);
104 return (1);
105 }
106
107 /*
108 * We want the remainder Given input of ABCDEF / ab we need multiply
109 * ABCDEF by 3 digests of the reciprocal of ab
110 */
111
112 /* i := max(BN_num_bits(m), 2*BN_num_bits(N)) */
113 i = BN_num_bits(m);
114 j = recp->num_bits << 1;
115 if (j > i)
116 i = j;
117
118 /* Nr := round(2^i / N) */
119 if (i != recp->shift)
120 recp->shift = BN_reciprocal(&(recp->Nr), &(recp->N), i, ctx);
121 /* BN_reciprocal could have returned -1 for an error */
122 if (recp->shift == -1)
123 goto err;
dfeab068 124
e95bbc3c
AP
125 /*-
126 * d := |round(round(m / 2^BN_num_bits(N)) * recp->Nr / 2^(i - BN_num_bits(N)))|
127 * = |round(round(m / 2^BN_num_bits(N)) * round(2^i / N) / 2^(i - BN_num_bits(N)))|
128 * <= |(m / 2^BN_num_bits(N)) * (2^i / N) * (2^BN_num_bits(N) / 2^i)|
129 * = |m/N|
130 */
0f113f3e
MC
131 if (!BN_rshift(a, m, recp->num_bits))
132 goto err;
133 if (!BN_mul(b, a, &(recp->Nr), ctx))
134 goto err;
135 if (!BN_rshift(d, b, i - recp->num_bits))
136 goto err;
137 d->neg = 0;
138
139 if (!BN_mul(b, &(recp->N), d, ctx))
140 goto err;
141 if (!BN_usub(r, m, b))
142 goto err;
143 r->neg = 0;
dfeab068 144
0f113f3e
MC
145 j = 0;
146 while (BN_ucmp(r, &(recp->N)) >= 0) {
147 if (j++ > 2) {
148 BNerr(BN_F_BN_DIV_RECP, BN_R_BAD_RECIPROCAL);
149 goto err;
150 }
151 if (!BN_usub(r, r, &(recp->N)))
152 goto err;
153 if (!BN_add_word(d, 1))
154 goto err;
155 }
d02b48c6 156
0f113f3e
MC
157 r->neg = BN_is_zero(r) ? 0 : m->neg;
158 d->neg = m->neg ^ recp->N.neg;
159 ret = 1;
160 err:
161 BN_CTX_end(ctx);
162 bn_check_top(dv);
163 bn_check_top(rem);
164 return (ret);
165}
166
167/*
168 * len is the expected size of the result We actually calculate with an extra
169 * word of precision, so we can do faster division if the remainder is not
170 * required.
dfeab068 171 */
78a0c1f1 172/* r := 2^len / m */
6343829a 173int BN_reciprocal(BIGNUM *r, const BIGNUM *m, int len, BN_CTX *ctx)
0f113f3e
MC
174{
175 int ret = -1;
176 BIGNUM *t;
177
178 BN_CTX_start(ctx);
179 if ((t = BN_CTX_get(ctx)) == NULL)
180 goto err;
181
182 if (!BN_set_bit(t, len))
183 goto err;
184
185 if (!BN_div(r, NULL, t, m, ctx))
186 goto err;
187
188 ret = len;
189 err:
190 bn_check_top(r);
191 BN_CTX_end(ctx);
192 return (ret);
193}