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1 /* crypto/bn/bn_word.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 
BN_mod_word(const BIGNUM * a,BN_ULONG w)63 BN_ULONG BN_mod_word(const BIGNUM *a, BN_ULONG w)
64 	{
65 #ifndef BN_LLONG
66 	BN_ULONG ret=0;
67 #else
68 	BN_ULLONG ret=0;
69 #endif
70 	int i;
71 
72 	if (w == 0)
73 		return (BN_ULONG)-1;
74 
75 	bn_check_top(a);
76 	w&=BN_MASK2;
77 	for (i=a->top-1; i>=0; i--)
78 		{
79 #ifndef BN_LLONG
80 		ret=((ret<<BN_BITS4)|((a->d[i]>>BN_BITS4)&BN_MASK2l))%w;
81 		ret=((ret<<BN_BITS4)|(a->d[i]&BN_MASK2l))%w;
82 #else
83 		ret=(BN_ULLONG)(((ret<<(BN_ULLONG)BN_BITS2)|a->d[i])%
84 			(BN_ULLONG)w);
85 #endif
86 		}
87 	return((BN_ULONG)ret);
88 	}
89 
BN_div_word(BIGNUM * a,BN_ULONG w)90 BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w)
91 	{
92 	BN_ULONG ret = 0;
93 	int i, j;
94 
95 	bn_check_top(a);
96 	w &= BN_MASK2;
97 
98 	if (!w)
99 		/* actually this an error (division by zero) */
100 		return (BN_ULONG)-1;
101 	if (a->top == 0)
102 		return 0;
103 
104 	/* normalize input (so bn_div_words doesn't complain) */
105 	j = BN_BITS2 - BN_num_bits_word(w);
106 	w <<= j;
107 	if (!BN_lshift(a, a, j))
108 		return (BN_ULONG)-1;
109 
110 	for (i=a->top-1; i>=0; i--)
111 		{
112 		BN_ULONG l,d;
113 
114 		l=a->d[i];
115 		d=bn_div_words(ret,l,w);
116 		ret=(l-((d*w)&BN_MASK2))&BN_MASK2;
117 		a->d[i]=d;
118 		}
119 	if ((a->top > 0) && (a->d[a->top-1] == 0))
120 		a->top--;
121 	ret >>= j;
122 	bn_check_top(a);
123 	return(ret);
124 	}
125 
BN_add_word(BIGNUM * a,BN_ULONG w)126 int BN_add_word(BIGNUM *a, BN_ULONG w)
127 	{
128 	BN_ULONG l;
129 	int i;
130 
131 	bn_check_top(a);
132 	w &= BN_MASK2;
133 
134 	/* degenerate case: w is zero */
135 	if (!w) return 1;
136 	/* degenerate case: a is zero */
137 	if(BN_is_zero(a)) return BN_set_word(a, w);
138 	/* handle 'a' when negative */
139 	if (a->neg)
140 		{
141 		a->neg=0;
142 		i=BN_sub_word(a,w);
143 		if (!BN_is_zero(a))
144 			a->neg=!(a->neg);
145 		return(i);
146 		}
147 	/* Only expand (and risk failing) if it's possibly necessary */
148 	if (((BN_ULONG)(a->d[a->top - 1] + 1) == 0) &&
149 			(bn_wexpand(a,a->top+1) == NULL))
150 		return(0);
151 	i=0;
152 	for (;;)
153 		{
154 		if (i >= a->top)
155 			l=w;
156 		else
157 			l=(a->d[i]+w)&BN_MASK2;
158 		a->d[i]=l;
159 		if (w > l)
160 			w=1;
161 		else
162 			break;
163 		i++;
164 		}
165 	if (i >= a->top)
166 		a->top++;
167 	bn_check_top(a);
168 	return(1);
169 	}
170 
BN_sub_word(BIGNUM * a,BN_ULONG w)171 int BN_sub_word(BIGNUM *a, BN_ULONG w)
172 	{
173 	int i;
174 
175 	bn_check_top(a);
176 	w &= BN_MASK2;
177 
178 	/* degenerate case: w is zero */
179 	if (!w) return 1;
180 	/* degenerate case: a is zero */
181 	if(BN_is_zero(a))
182 		{
183 		i = BN_set_word(a,w);
184 		if (i != 0)
185 			BN_set_negative(a, 1);
186 		return i;
187 		}
188 	/* handle 'a' when negative */
189 	if (a->neg)
190 		{
191 		a->neg=0;
192 		i=BN_add_word(a,w);
193 		a->neg=1;
194 		return(i);
195 		}
196 
197 	if ((a->top == 1) && (a->d[0] < w))
198 		{
199 		a->d[0]=w-a->d[0];
200 		a->neg=1;
201 		return(1);
202 		}
203 	i=0;
204 	for (;;)
205 		{
206 		if (a->d[i] >= w)
207 			{
208 			a->d[i]-=w;
209 			break;
210 			}
211 		else
212 			{
213 			a->d[i]=(a->d[i]-w)&BN_MASK2;
214 			i++;
215 			w=1;
216 			}
217 		}
218 	if ((a->d[i] == 0) && (i == (a->top-1)))
219 		a->top--;
220 	bn_check_top(a);
221 	return(1);
222 	}
223 
BN_mul_word(BIGNUM * a,BN_ULONG w)224 int BN_mul_word(BIGNUM *a, BN_ULONG w)
225 	{
226 	BN_ULONG ll;
227 
228 	bn_check_top(a);
229 	w&=BN_MASK2;
230 	if (a->top)
231 		{
232 		if (w == 0)
233 			BN_zero(a);
234 		else
235 			{
236 			ll=bn_mul_words(a->d,a->d,a->top,w);
237 			if (ll)
238 				{
239 				if (bn_wexpand(a,a->top+1) == NULL) return(0);
240 				a->d[a->top++]=ll;
241 				}
242 			}
243 		}
244 	bn_check_top(a);
245 	return(1);
246 	}
247 
248