1/* $OpenBSD: bn_word.c,v 1.21 2023/07/08 12:21:58 beck Exp $ */
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
61#include "bn_local.h"
62
63BN_ULONG
64BN_mod_word(const BIGNUM *a, BN_ULONG w)
65{
66#ifndef BN_LLONG
67	BN_ULONG ret = 0;
68#else
69	BN_ULLONG ret = 0;
70#endif
71	int i;
72
73	if (w == 0)
74		return (BN_ULONG) - 1;
75
76#ifndef BN_ULLONG
77	/* If |w| is too long and we don't have |BN_ULLONG| then we need to fall back
78	* to using |BN_div_word|. */
79	if (w > ((BN_ULONG)1 << BN_BITS4)) {
80		BIGNUM *tmp = BN_dup(a);
81		if (tmp == NULL) {
82			return (BN_ULONG)-1;
83		}
84		ret = BN_div_word(tmp, w);
85		BN_free(tmp);
86		return ret;
87	}
88#endif
89
90	w &= BN_MASK2;
91	for (i = a->top - 1; i >= 0; i--) {
92#ifndef BN_LLONG
93		ret = ((ret << BN_BITS4) | ((a->d[i] >> BN_BITS4) &
94		    BN_MASK2l)) % w;
95		ret = ((ret << BN_BITS4) | (a->d[i] & BN_MASK2l)) % w;
96#else
97		ret = (BN_ULLONG)(((ret << (BN_ULLONG)BN_BITS2) |
98		    a->d[i]) % (BN_ULLONG)w);
99#endif
100	}
101	return ((BN_ULONG)ret);
102}
103LCRYPTO_ALIAS(BN_mod_word);
104
105BN_ULONG
106BN_div_word(BIGNUM *a, BN_ULONG w)
107{
108	BN_ULONG ret = 0;
109	int i, j;
110
111	w &= BN_MASK2;
112
113	if (!w)
114		/* actually this an error (division by zero) */
115		return (BN_ULONG) - 1;
116	if (a->top == 0)
117		return 0;
118
119	/* normalize input (so bn_div_words doesn't complain) */
120	j = BN_BITS2 - BN_num_bits_word(w);
121	w <<= j;
122	if (!BN_lshift(a, a, j))
123		return (BN_ULONG) - 1;
124
125	for (i = a->top - 1; i >= 0; i--) {
126		BN_ULONG l, d;
127
128		l = a->d[i];
129		bn_div_rem_words(ret, l, w, &d, &ret);
130		a->d[i] = d;
131	}
132	if ((a->top > 0) && (a->d[a->top - 1] == 0))
133		a->top--;
134	ret >>= j;
135
136	/* Set negative again, to handle -0 case. */
137	BN_set_negative(a, a->neg);
138
139	return (ret);
140}
141LCRYPTO_ALIAS(BN_div_word);
142
143int
144BN_add_word(BIGNUM *a, BN_ULONG w)
145{
146	BN_ULONG l;
147	int i;
148
149	w &= BN_MASK2;
150
151	/* degenerate case: w is zero */
152	if (!w)
153		return 1;
154	/* degenerate case: a is zero */
155	if (BN_is_zero(a))
156		return BN_set_word(a, w);
157	/* handle 'a' when negative */
158	if (a->neg) {
159		a->neg = 0;
160		i = BN_sub_word(a, w);
161		BN_set_negative(a, !a->neg);
162		return (i);
163	}
164	for (i = 0; w != 0 && i < a->top; i++) {
165		a->d[i] = l = (a->d[i] + w) & BN_MASK2;
166		w = (w > l) ? 1 : 0;
167	}
168	if (w && i == a->top) {
169		if (!bn_wexpand(a, a->top + 1))
170			return 0;
171		a->top++;
172		a->d[i] = w;
173	}
174	return (1);
175}
176LCRYPTO_ALIAS(BN_add_word);
177
178int
179BN_sub_word(BIGNUM *a, BN_ULONG w)
180{
181	int i;
182
183	w &= BN_MASK2;
184
185	/* degenerate case: w is zero */
186	if (!w)
187		return 1;
188	/* degenerate case: a is zero */
189	if (BN_is_zero(a)) {
190		i = BN_set_word(a, w);
191		if (i != 0)
192			BN_set_negative(a, 1);
193		return i;
194	}
195	/* handle 'a' when negative */
196	if (a->neg) {
197		a->neg = 0;
198		i = BN_add_word(a, w);
199		BN_set_negative(a, !a->neg);
200		return (i);
201	}
202
203	if ((a->top == 1) && (a->d[0] < w)) {
204		a->d[0] = w - a->d[0];
205		BN_set_negative(a, 1);
206		return (1);
207	}
208	i = 0;
209	for (;;) {
210		if (a->d[i] >= w) {
211			a->d[i] -= w;
212			break;
213		} else {
214			a->d[i] = (a->d[i] - w) & BN_MASK2;
215			i++;
216			w = 1;
217		}
218	}
219	if ((a->d[i] == 0) && (i == (a->top - 1)))
220		a->top--;
221	return (1);
222}
223LCRYPTO_ALIAS(BN_sub_word);
224
225int
226BN_mul_word(BIGNUM *a, BN_ULONG w)
227{
228	BN_ULONG ll;
229
230	w &= BN_MASK2;
231	if (a->top) {
232		if (w == 0)
233			BN_zero(a);
234		else {
235			ll = bn_mul_words(a->d, a->d, a->top, w);
236			if (ll) {
237				if (!bn_wexpand(a, a->top + 1))
238					return (0);
239				a->d[a->top++] = ll;
240			}
241		}
242	}
243	return (1);
244}
245LCRYPTO_ALIAS(BN_mul_word);
246