bn_intern.c
5.47 KB
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
/*
* Copyright 2014-2018 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include "internal/cryptlib.h"
#include "bn_lcl.h"
/*
* Determine the modified width-(w+1) Non-Adjacent Form (wNAF) of 'scalar'.
* This is an array r[] of values that are either zero or odd with an
* absolute value less than 2^w satisfying
* scalar = \sum_j r[j]*2^j
* where at most one of any w+1 consecutive digits is non-zero
* with the exception that the most significant digit may be only
* w-1 zeros away from that next non-zero digit.
*/
signed char *bn_compute_wNAF(const BIGNUM *scalar, int w, size_t *ret_len)
{
int window_val;
signed char *r = NULL;
int sign = 1;
int bit, next_bit, mask;
size_t len = 0, j;
if (BN_is_zero(scalar)) {
r = OPENSSL_malloc(1);
if (r == NULL) {
BNerr(BN_F_BN_COMPUTE_WNAF, ERR_R_MALLOC_FAILURE);
goto err;
}
r[0] = 0;
*ret_len = 1;
return r;
}
if (w <= 0 || w > 7) { /* 'signed char' can represent integers with
* absolute values less than 2^7 */
BNerr(BN_F_BN_COMPUTE_WNAF, ERR_R_INTERNAL_ERROR);
goto err;
}
bit = 1 << w; /* at most 128 */
next_bit = bit << 1; /* at most 256 */
mask = next_bit - 1; /* at most 255 */
if (BN_is_negative(scalar)) {
sign = -1;
}
if (scalar->d == NULL || scalar->top == 0) {
BNerr(BN_F_BN_COMPUTE_WNAF, ERR_R_INTERNAL_ERROR);
goto err;
}
len = BN_num_bits(scalar);
r = OPENSSL_malloc(len + 1); /*
* Modified wNAF may be one digit longer than binary representation
* (*ret_len will be set to the actual length, i.e. at most
* BN_num_bits(scalar) + 1)
*/
if (r == NULL) {
BNerr(BN_F_BN_COMPUTE_WNAF, ERR_R_MALLOC_FAILURE);
goto err;
}
window_val = scalar->d[0] & mask;
j = 0;
while ((window_val != 0) || (j + w + 1 < len)) { /* if j+w+1 >= len,
* window_val will not
* increase */
int digit = 0;
/* 0 <= window_val <= 2^(w+1) */
if (window_val & 1) {
/* 0 < window_val < 2^(w+1) */
if (window_val & bit) {
digit = window_val - next_bit; /* -2^w < digit < 0 */
#if 1 /* modified wNAF */
if (j + w + 1 >= len) {
/*
* Special case for generating modified wNAFs:
* no new bits will be added into window_val,
* so using a positive digit here will decrease
* the total length of the representation
*/
digit = window_val & (mask >> 1); /* 0 < digit < 2^w */
}
#endif
} else {
digit = window_val; /* 0 < digit < 2^w */
}
if (digit <= -bit || digit >= bit || !(digit & 1)) {
BNerr(BN_F_BN_COMPUTE_WNAF, ERR_R_INTERNAL_ERROR);
goto err;
}
window_val -= digit;
/*
* now window_val is 0 or 2^(w+1) in standard wNAF generation;
* for modified window NAFs, it may also be 2^w
*/
if (window_val != 0 && window_val != next_bit
&& window_val != bit) {
BNerr(BN_F_BN_COMPUTE_WNAF, ERR_R_INTERNAL_ERROR);
goto err;
}
}
r[j++] = sign * digit;
window_val >>= 1;
window_val += bit * BN_is_bit_set(scalar, j + w);
if (window_val > next_bit) {
BNerr(BN_F_BN_COMPUTE_WNAF, ERR_R_INTERNAL_ERROR);
goto err;
}
}
if (j > len + 1) {
BNerr(BN_F_BN_COMPUTE_WNAF, ERR_R_INTERNAL_ERROR);
goto err;
}
*ret_len = j;
return r;
err:
OPENSSL_free(r);
return NULL;
}
int bn_get_top(const BIGNUM *a)
{
return a->top;
}
int bn_get_dmax(const BIGNUM *a)
{
return a->dmax;
}
void bn_set_all_zero(BIGNUM *a)
{
int i;
for (i = a->top; i < a->dmax; i++)
a->d[i] = 0;
}
int bn_copy_words(BN_ULONG *out, const BIGNUM *in, int size)
{
if (in->top > size)
return 0;
memset(out, 0, sizeof(*out) * size);
if (in->d != NULL)
memcpy(out, in->d, sizeof(*out) * in->top);
return 1;
}
BN_ULONG *bn_get_words(const BIGNUM *a)
{
return a->d;
}
void bn_set_static_words(BIGNUM *a, const BN_ULONG *words, int size)
{
/*
* |const| qualifier omission is compensated by BN_FLG_STATIC_DATA
* flag, which effectively means "read-only data".
*/
a->d = (BN_ULONG *)words;
a->dmax = a->top = size;
a->neg = 0;
a->flags |= BN_FLG_STATIC_DATA;
bn_correct_top(a);
}
int bn_set_words(BIGNUM *a, const BN_ULONG *words, int num_words)
{
if (bn_wexpand(a, num_words) == NULL) {
BNerr(BN_F_BN_SET_WORDS, ERR_R_MALLOC_FAILURE);
return 0;
}
memcpy(a->d, words, sizeof(BN_ULONG) * num_words);
a->top = num_words;
bn_correct_top(a);
return 1;
}