/src/openssl/crypto/bn/bn_exp2.c
Line | Count | Source |
1 | | /* |
2 | | * Copyright 1995-2022 The OpenSSL Project Authors. All Rights Reserved. |
3 | | * |
4 | | * Licensed under the Apache License 2.0 (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 |
8 | | */ |
9 | | |
10 | | #include <stdio.h> |
11 | | #include "internal/cryptlib.h" |
12 | | #include "bn_local.h" |
13 | | |
14 | | #define TABLE_SIZE 32 |
15 | | |
16 | | int BN_mod_exp2_mont(BIGNUM *rr, const BIGNUM *a1, const BIGNUM *p1, |
17 | | const BIGNUM *a2, const BIGNUM *p2, const BIGNUM *m, |
18 | | BN_CTX *ctx, BN_MONT_CTX *in_mont) |
19 | 0 | { |
20 | 0 | int i, j, bits, b, bits1, bits2, ret = 0, wpos1, wpos2, window1, window2, wvalue1, wvalue2; |
21 | 0 | int r_is_one = 1; |
22 | 0 | BIGNUM *d, *r; |
23 | 0 | const BIGNUM *a_mod_m; |
24 | | /* Tables of variables obtained from 'ctx' */ |
25 | 0 | BIGNUM *val1[TABLE_SIZE], *val2[TABLE_SIZE]; |
26 | 0 | BN_MONT_CTX *mont = NULL; |
27 | |
|
28 | 0 | bn_check_top(a1); |
29 | 0 | bn_check_top(p1); |
30 | 0 | bn_check_top(a2); |
31 | 0 | bn_check_top(p2); |
32 | 0 | bn_check_top(m); |
33 | |
|
34 | 0 | if (!BN_is_odd(m)) { |
35 | 0 | ERR_raise(ERR_LIB_BN, BN_R_CALLED_WITH_EVEN_MODULUS); |
36 | 0 | return 0; |
37 | 0 | } |
38 | 0 | bits1 = BN_num_bits(p1); |
39 | 0 | bits2 = BN_num_bits(p2); |
40 | 0 | if ((bits1 == 0) && (bits2 == 0)) { |
41 | 0 | ret = BN_one(rr); |
42 | 0 | return ret; |
43 | 0 | } |
44 | | |
45 | 0 | bits = (bits1 > bits2) ? bits1 : bits2; |
46 | |
|
47 | 0 | BN_CTX_start(ctx); |
48 | 0 | d = BN_CTX_get(ctx); |
49 | 0 | r = BN_CTX_get(ctx); |
50 | 0 | val1[0] = BN_CTX_get(ctx); |
51 | 0 | val2[0] = BN_CTX_get(ctx); |
52 | 0 | if (val2[0] == NULL) |
53 | 0 | goto err; |
54 | | |
55 | 0 | if (in_mont != NULL) |
56 | 0 | mont = in_mont; |
57 | 0 | else { |
58 | 0 | if ((mont = BN_MONT_CTX_new()) == NULL) |
59 | 0 | goto err; |
60 | 0 | if (!BN_MONT_CTX_set(mont, m, ctx)) |
61 | 0 | goto err; |
62 | 0 | } |
63 | | |
64 | 0 | window1 = BN_window_bits_for_exponent_size(bits1); |
65 | 0 | window2 = BN_window_bits_for_exponent_size(bits2); |
66 | | |
67 | | /* |
68 | | * Build table for a1: val1[i] := a1^(2*i + 1) mod m for i = 0 .. 2^(window1-1) |
69 | | */ |
70 | 0 | if (a1->neg || BN_ucmp(a1, m) >= 0) { |
71 | 0 | if (!BN_mod(val1[0], a1, m, ctx)) |
72 | 0 | goto err; |
73 | 0 | a_mod_m = val1[0]; |
74 | 0 | } else |
75 | 0 | a_mod_m = a1; |
76 | 0 | if (BN_is_zero(a_mod_m)) { |
77 | 0 | BN_zero(rr); |
78 | 0 | ret = 1; |
79 | 0 | goto err; |
80 | 0 | } |
81 | | |
82 | 0 | if (!BN_to_montgomery(val1[0], a_mod_m, mont, ctx)) |
83 | 0 | goto err; |
84 | 0 | if (window1 > 1) { |
85 | 0 | if (!BN_mod_mul_montgomery(d, val1[0], val1[0], mont, ctx)) |
86 | 0 | goto err; |
87 | | |
88 | 0 | j = 1 << (window1 - 1); |
89 | 0 | for (i = 1; i < j; i++) { |
90 | 0 | if (((val1[i] = BN_CTX_get(ctx)) == NULL) || !BN_mod_mul_montgomery(val1[i], val1[i - 1], d, mont, ctx)) |
91 | 0 | goto err; |
92 | 0 | } |
93 | 0 | } |
94 | | |
95 | | /* |
96 | | * Build table for a2: val2[i] := a2^(2*i + 1) mod m for i = 0 .. 2^(window2-1) |
97 | | */ |
98 | 0 | if (a2->neg || BN_ucmp(a2, m) >= 0) { |
99 | 0 | if (!BN_mod(val2[0], a2, m, ctx)) |
100 | 0 | goto err; |
101 | 0 | a_mod_m = val2[0]; |
102 | 0 | } else |
103 | 0 | a_mod_m = a2; |
104 | 0 | if (BN_is_zero(a_mod_m)) { |
105 | 0 | BN_zero(rr); |
106 | 0 | ret = 1; |
107 | 0 | goto err; |
108 | 0 | } |
109 | 0 | if (!BN_to_montgomery(val2[0], a_mod_m, mont, ctx)) |
110 | 0 | goto err; |
111 | 0 | if (window2 > 1) { |
112 | 0 | if (!BN_mod_mul_montgomery(d, val2[0], val2[0], mont, ctx)) |
113 | 0 | goto err; |
114 | | |
115 | 0 | j = 1 << (window2 - 1); |
116 | 0 | for (i = 1; i < j; i++) { |
117 | 0 | if (((val2[i] = BN_CTX_get(ctx)) == NULL) || !BN_mod_mul_montgomery(val2[i], val2[i - 1], d, mont, ctx)) |
118 | 0 | goto err; |
119 | 0 | } |
120 | 0 | } |
121 | | |
122 | | /* Now compute the power product, using independent windows. */ |
123 | 0 | r_is_one = 1; |
124 | 0 | wvalue1 = 0; /* The 'value' of the first window */ |
125 | 0 | wvalue2 = 0; /* The 'value' of the second window */ |
126 | 0 | wpos1 = 0; /* If wvalue1 > 0, the bottom bit of the |
127 | | * first window */ |
128 | 0 | wpos2 = 0; /* If wvalue2 > 0, the bottom bit of the |
129 | | * second window */ |
130 | |
|
131 | 0 | if (!BN_to_montgomery(r, BN_value_one(), mont, ctx)) |
132 | 0 | goto err; |
133 | 0 | for (b = bits - 1; b >= 0; b--) { |
134 | 0 | if (!r_is_one) { |
135 | 0 | if (!BN_mod_mul_montgomery(r, r, r, mont, ctx)) |
136 | 0 | goto err; |
137 | 0 | } |
138 | | |
139 | 0 | if (!wvalue1) |
140 | 0 | if (BN_is_bit_set(p1, b)) { |
141 | | /* |
142 | | * consider bits b-window1+1 .. b for this window |
143 | | */ |
144 | 0 | i = b - window1 + 1; |
145 | 0 | while (!BN_is_bit_set(p1, i)) /* works for i<0 */ |
146 | 0 | i++; |
147 | 0 | wpos1 = i; |
148 | 0 | wvalue1 = 1; |
149 | 0 | for (i = b - 1; i >= wpos1; i--) { |
150 | 0 | wvalue1 <<= 1; |
151 | 0 | if (BN_is_bit_set(p1, i)) |
152 | 0 | wvalue1++; |
153 | 0 | } |
154 | 0 | } |
155 | |
|
156 | 0 | if (!wvalue2) |
157 | 0 | if (BN_is_bit_set(p2, b)) { |
158 | | /* |
159 | | * consider bits b-window2+1 .. b for this window |
160 | | */ |
161 | 0 | i = b - window2 + 1; |
162 | 0 | while (!BN_is_bit_set(p2, i)) |
163 | 0 | i++; |
164 | 0 | wpos2 = i; |
165 | 0 | wvalue2 = 1; |
166 | 0 | for (i = b - 1; i >= wpos2; i--) { |
167 | 0 | wvalue2 <<= 1; |
168 | 0 | if (BN_is_bit_set(p2, i)) |
169 | 0 | wvalue2++; |
170 | 0 | } |
171 | 0 | } |
172 | |
|
173 | 0 | if (wvalue1 && b == wpos1) { |
174 | | /* wvalue1 is odd and < 2^window1 */ |
175 | 0 | if (!BN_mod_mul_montgomery(r, r, val1[wvalue1 >> 1], mont, ctx)) |
176 | 0 | goto err; |
177 | 0 | wvalue1 = 0; |
178 | 0 | r_is_one = 0; |
179 | 0 | } |
180 | | |
181 | 0 | if (wvalue2 && b == wpos2) { |
182 | | /* wvalue2 is odd and < 2^window2 */ |
183 | 0 | if (!BN_mod_mul_montgomery(r, r, val2[wvalue2 >> 1], mont, ctx)) |
184 | 0 | goto err; |
185 | 0 | wvalue2 = 0; |
186 | 0 | r_is_one = 0; |
187 | 0 | } |
188 | 0 | } |
189 | 0 | if (!BN_from_montgomery(rr, r, mont, ctx)) |
190 | 0 | goto err; |
191 | 0 | ret = 1; |
192 | 0 | err: |
193 | 0 | if (in_mont == NULL) |
194 | 0 | BN_MONT_CTX_free(mont); |
195 | 0 | BN_CTX_end(ctx); |
196 | 0 | bn_check_top(rr); |
197 | 0 | return ret; |
198 | 0 | } |