]>
Commit | Line | Data |
---|---|---|
078dd1a0 | 1 | /* crypto/bn/bn_nist.c */ |
fcb41c0e NL |
2 | /* |
3 | * Written by Nils Larsch for the OpenSSL project | |
4 | */ | |
5c6bf031 | 5 | /* ==================================================================== |
fcb41c0e | 6 | * Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved. |
5c6bf031 BM |
7 | * |
8 | * Redistribution and use in source and binary forms, with or without | |
9 | * modification, are permitted provided that the following conditions | |
10 | * are met: | |
11 | * | |
12 | * 1. Redistributions of source code must retain the above copyright | |
ae5c8664 | 13 | * notice, this list of conditions and the following disclaimer. |
5c6bf031 BM |
14 | * |
15 | * 2. Redistributions in binary form must reproduce the above copyright | |
16 | * notice, this list of conditions and the following disclaimer in | |
17 | * the documentation and/or other materials provided with the | |
18 | * distribution. | |
19 | * | |
20 | * 3. All advertising materials mentioning features or use of this | |
21 | * software must display the following acknowledgment: | |
22 | * "This product includes software developed by the OpenSSL Project | |
23 | * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" | |
24 | * | |
25 | * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to | |
26 | * endorse or promote products derived from this software without | |
27 | * prior written permission. For written permission, please contact | |
28 | * openssl-core@openssl.org. | |
29 | * | |
30 | * 5. Products derived from this software may not be called "OpenSSL" | |
31 | * nor may "OpenSSL" appear in their names without prior written | |
32 | * permission of the OpenSSL Project. | |
33 | * | |
34 | * 6. Redistributions of any form whatsoever must retain the following | |
35 | * acknowledgment: | |
36 | * "This product includes software developed by the OpenSSL Project | |
37 | * for use in the OpenSSL Toolkit (http://www.openssl.org/)" | |
38 | * | |
39 | * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY | |
40 | * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE | |
41 | * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR | |
42 | * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR | |
43 | * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, | |
44 | * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT | |
45 | * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; | |
46 | * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) | |
47 | * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, | |
48 | * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) | |
49 | * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED | |
50 | * OF THE POSSIBILITY OF SUCH DAMAGE. | |
51 | * ==================================================================== | |
52 | * | |
53 | * This product includes cryptographic software written by Eric Young | |
54 | * (eay@cryptsoft.com). This product includes software written by Tim | |
55 | * Hudson (tjh@cryptsoft.com). | |
56 | * | |
57 | */ | |
58 | ||
59 | #include "bn_lcl.h" | |
19b8d06a | 60 | #include "cryptlib.h" |
5c6bf031 | 61 | |
ae5c8664 MC |
62 | #define BN_NIST_192_TOP (192+BN_BITS2-1)/BN_BITS2 |
63 | #define BN_NIST_224_TOP (224+BN_BITS2-1)/BN_BITS2 | |
64 | #define BN_NIST_256_TOP (256+BN_BITS2-1)/BN_BITS2 | |
65 | #define BN_NIST_384_TOP (384+BN_BITS2-1)/BN_BITS2 | |
66 | #define BN_NIST_521_TOP (521+BN_BITS2-1)/BN_BITS2 | |
5c6bf031 | 67 | |
830b8877 | 68 | /* pre-computed tables are "carry-less" values of modulus*(i+1) */ |
5c6bf031 | 69 | #if BN_BITS2 == 64 |
830b8877 | 70 | static const BN_ULONG _nist_p_192[][BN_NIST_192_TOP] = { |
ae5c8664 MC |
71 | {0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFEULL, 0xFFFFFFFFFFFFFFFFULL}, |
72 | {0xFFFFFFFFFFFFFFFEULL, 0xFFFFFFFFFFFFFFFDULL, 0xFFFFFFFFFFFFFFFFULL}, | |
73 | {0xFFFFFFFFFFFFFFFDULL, 0xFFFFFFFFFFFFFFFCULL, 0xFFFFFFFFFFFFFFFFULL} | |
74 | }; | |
75 | ||
aff82595 | 76 | static const BN_ULONG _nist_p_192_sqr[] = { |
ae5c8664 MC |
77 | 0x0000000000000001ULL, 0x0000000000000002ULL, 0x0000000000000001ULL, |
78 | 0xFFFFFFFFFFFFFFFEULL, 0xFFFFFFFFFFFFFFFDULL, 0xFFFFFFFFFFFFFFFFULL | |
79 | }; | |
80 | ||
830b8877 | 81 | static const BN_ULONG _nist_p_224[][BN_NIST_224_TOP] = { |
ae5c8664 MC |
82 | {0x0000000000000001ULL, 0xFFFFFFFF00000000ULL, |
83 | 0xFFFFFFFFFFFFFFFFULL, 0x00000000FFFFFFFFULL}, | |
84 | {0x0000000000000002ULL, 0xFFFFFFFE00000000ULL, | |
85 | 0xFFFFFFFFFFFFFFFFULL, 0x00000001FFFFFFFFULL} /* this one is | |
86 | * "carry-full" */ | |
87 | }; | |
88 | ||
aff82595 | 89 | static const BN_ULONG _nist_p_224_sqr[] = { |
ae5c8664 MC |
90 | 0x0000000000000001ULL, 0xFFFFFFFE00000000ULL, |
91 | 0xFFFFFFFFFFFFFFFFULL, 0x0000000200000000ULL, | |
92 | 0x0000000000000000ULL, 0xFFFFFFFFFFFFFFFEULL, | |
93 | 0xFFFFFFFFFFFFFFFFULL | |
94 | }; | |
95 | ||
830b8877 | 96 | static const BN_ULONG _nist_p_256[][BN_NIST_256_TOP] = { |
ae5c8664 MC |
97 | {0xFFFFFFFFFFFFFFFFULL, 0x00000000FFFFFFFFULL, |
98 | 0x0000000000000000ULL, 0xFFFFFFFF00000001ULL}, | |
99 | {0xFFFFFFFFFFFFFFFEULL, 0x00000001FFFFFFFFULL, | |
100 | 0x0000000000000000ULL, 0xFFFFFFFE00000002ULL}, | |
101 | {0xFFFFFFFFFFFFFFFDULL, 0x00000002FFFFFFFFULL, | |
102 | 0x0000000000000000ULL, 0xFFFFFFFD00000003ULL}, | |
103 | {0xFFFFFFFFFFFFFFFCULL, 0x00000003FFFFFFFFULL, | |
104 | 0x0000000000000000ULL, 0xFFFFFFFC00000004ULL}, | |
105 | {0xFFFFFFFFFFFFFFFBULL, 0x00000004FFFFFFFFULL, | |
106 | 0x0000000000000000ULL, 0xFFFFFFFB00000005ULL}, | |
107 | }; | |
108 | ||
aff82595 | 109 | static const BN_ULONG _nist_p_256_sqr[] = { |
ae5c8664 MC |
110 | 0x0000000000000001ULL, 0xFFFFFFFE00000000ULL, |
111 | 0xFFFFFFFFFFFFFFFFULL, 0x00000001FFFFFFFEULL, | |
112 | 0x00000001FFFFFFFEULL, 0x00000001FFFFFFFEULL, | |
113 | 0xFFFFFFFE00000001ULL, 0xFFFFFFFE00000002ULL | |
114 | }; | |
115 | ||
830b8877 | 116 | static const BN_ULONG _nist_p_384[][BN_NIST_384_TOP] = { |
ae5c8664 MC |
117 | {0x00000000FFFFFFFFULL, 0xFFFFFFFF00000000ULL, 0xFFFFFFFFFFFFFFFEULL, |
118 | 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL}, | |
119 | {0x00000001FFFFFFFEULL, 0xFFFFFFFE00000000ULL, 0xFFFFFFFFFFFFFFFDULL, | |
120 | 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL}, | |
121 | {0x00000002FFFFFFFDULL, 0xFFFFFFFD00000000ULL, 0xFFFFFFFFFFFFFFFCULL, | |
122 | 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL}, | |
123 | {0x00000003FFFFFFFCULL, 0xFFFFFFFC00000000ULL, 0xFFFFFFFFFFFFFFFBULL, | |
124 | 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL}, | |
125 | {0x00000004FFFFFFFBULL, 0xFFFFFFFB00000000ULL, 0xFFFFFFFFFFFFFFFAULL, | |
126 | 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL}, | |
127 | }; | |
128 | ||
aff82595 | 129 | static const BN_ULONG _nist_p_384_sqr[] = { |
ae5c8664 MC |
130 | 0xFFFFFFFE00000001ULL, 0x0000000200000000ULL, 0xFFFFFFFE00000000ULL, |
131 | 0x0000000200000000ULL, 0x0000000000000001ULL, 0x0000000000000000ULL, | |
132 | 0x00000001FFFFFFFEULL, 0xFFFFFFFE00000000ULL, 0xFFFFFFFFFFFFFFFDULL, | |
133 | 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL | |
134 | }; | |
135 | ||
fcb41c0e | 136 | static const BN_ULONG _nist_p_521[] = |
ae5c8664 MC |
137 | { 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, |
138 | 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, | |
139 | 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, | |
140 | 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, | |
141 | 0x00000000000001FFULL | |
142 | }; | |
143 | ||
aff82595 | 144 | static const BN_ULONG _nist_p_521_sqr[] = { |
ae5c8664 MC |
145 | 0x0000000000000001ULL, 0x0000000000000000ULL, 0x0000000000000000ULL, |
146 | 0x0000000000000000ULL, 0x0000000000000000ULL, 0x0000000000000000ULL, | |
147 | 0x0000000000000000ULL, 0x0000000000000000ULL, 0xFFFFFFFFFFFFFC00ULL, | |
148 | 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, | |
149 | 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, | |
150 | 0xFFFFFFFFFFFFFFFFULL, 0x000000000003FFFFULL | |
151 | }; | |
5c6bf031 | 152 | #elif BN_BITS2 == 32 |
830b8877 | 153 | static const BN_ULONG _nist_p_192[][BN_NIST_192_TOP] = { |
ae5c8664 MC |
154 | {0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF}, |
155 | {0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF}, | |
156 | {0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFC, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF} | |
157 | }; | |
158 | ||
aff82595 | 159 | static const BN_ULONG _nist_p_192_sqr[] = { |
ae5c8664 MC |
160 | 0x00000001, 0x00000000, 0x00000002, 0x00000000, 0x00000001, 0x00000000, |
161 | 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF | |
162 | }; | |
163 | ||
830b8877 | 164 | static const BN_ULONG _nist_p_224[][BN_NIST_224_TOP] = { |
ae5c8664 MC |
165 | {0x00000001, 0x00000000, 0x00000000, 0xFFFFFFFF, |
166 | 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF}, | |
167 | {0x00000002, 0x00000000, 0x00000000, 0xFFFFFFFE, | |
168 | 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF} | |
169 | }; | |
170 | ||
aff82595 | 171 | static const BN_ULONG _nist_p_224_sqr[] = { |
ae5c8664 MC |
172 | 0x00000001, 0x00000000, 0x00000000, 0xFFFFFFFE, |
173 | 0xFFFFFFFF, 0xFFFFFFFF, 0x00000000, 0x00000002, | |
174 | 0x00000000, 0x00000000, 0xFFFFFFFE, 0xFFFFFFFF, | |
175 | 0xFFFFFFFF, 0xFFFFFFFF | |
176 | }; | |
177 | ||
830b8877 | 178 | static const BN_ULONG _nist_p_256[][BN_NIST_256_TOP] = { |
ae5c8664 MC |
179 | {0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000000, |
180 | 0x00000000, 0x00000000, 0x00000001, 0xFFFFFFFF}, | |
181 | {0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000001, | |
182 | 0x00000000, 0x00000000, 0x00000002, 0xFFFFFFFE}, | |
183 | {0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000002, | |
184 | 0x00000000, 0x00000000, 0x00000003, 0xFFFFFFFD}, | |
185 | {0xFFFFFFFC, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000003, | |
186 | 0x00000000, 0x00000000, 0x00000004, 0xFFFFFFFC}, | |
187 | {0xFFFFFFFB, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000004, | |
188 | 0x00000000, 0x00000000, 0x00000005, 0xFFFFFFFB}, | |
189 | }; | |
190 | ||
aff82595 | 191 | static const BN_ULONG _nist_p_256_sqr[] = { |
ae5c8664 MC |
192 | 0x00000001, 0x00000000, 0x00000000, 0xFFFFFFFE, |
193 | 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFE, 0x00000001, | |
194 | 0xFFFFFFFE, 0x00000001, 0xFFFFFFFE, 0x00000001, | |
195 | 0x00000001, 0xFFFFFFFE, 0x00000002, 0xFFFFFFFE | |
196 | }; | |
197 | ||
830b8877 | 198 | static const BN_ULONG _nist_p_384[][BN_NIST_384_TOP] = { |
ae5c8664 MC |
199 | {0xFFFFFFFF, 0x00000000, 0x00000000, 0xFFFFFFFF, 0xFFFFFFFE, 0xFFFFFFFF, |
200 | 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF}, | |
201 | {0xFFFFFFFE, 0x00000001, 0x00000000, 0xFFFFFFFE, 0xFFFFFFFD, 0xFFFFFFFF, | |
202 | 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF}, | |
203 | {0xFFFFFFFD, 0x00000002, 0x00000000, 0xFFFFFFFD, 0xFFFFFFFC, 0xFFFFFFFF, | |
204 | 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF}, | |
205 | {0xFFFFFFFC, 0x00000003, 0x00000000, 0xFFFFFFFC, 0xFFFFFFFB, 0xFFFFFFFF, | |
206 | 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF}, | |
207 | {0xFFFFFFFB, 0x00000004, 0x00000000, 0xFFFFFFFB, 0xFFFFFFFA, 0xFFFFFFFF, | |
208 | 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF}, | |
209 | }; | |
210 | ||
aff82595 | 211 | static const BN_ULONG _nist_p_384_sqr[] = { |
ae5c8664 MC |
212 | 0x00000001, 0xFFFFFFFE, 0x00000000, 0x00000002, 0x00000000, 0xFFFFFFFE, |
213 | 0x00000000, 0x00000002, 0x00000001, 0x00000000, 0x00000000, 0x00000000, | |
214 | 0xFFFFFFFE, 0x00000001, 0x00000000, 0xFFFFFFFE, 0xFFFFFFFD, 0xFFFFFFFF, | |
215 | 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF | |
216 | }; | |
217 | ||
218 | static const BN_ULONG _nist_p_521[] = { 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, | |
219 | 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, | |
220 | 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, | |
221 | 0xFFFFFFFF, 0x000001FF | |
222 | }; | |
223 | ||
aff82595 | 224 | static const BN_ULONG _nist_p_521_sqr[] = { |
ae5c8664 MC |
225 | 0x00000001, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, |
226 | 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, | |
227 | 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0xFFFFFC00, 0xFFFFFFFF, | |
228 | 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, | |
229 | 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, | |
230 | 0xFFFFFFFF, 0xFFFFFFFF, 0x0003FFFF | |
231 | }; | |
ba6f95e8 | 232 | #else |
ae5c8664 | 233 | # error "unsupported BN_BITS2" |
5c6bf031 BM |
234 | #endif |
235 | ||
ae5c8664 MC |
236 | static const BIGNUM _bignum_nist_p_192 = { |
237 | (BN_ULONG *)_nist_p_192[0], | |
238 | BN_NIST_192_TOP, | |
239 | BN_NIST_192_TOP, | |
240 | 0, | |
241 | BN_FLG_STATIC_DATA | |
242 | }; | |
243 | ||
244 | static const BIGNUM _bignum_nist_p_224 = { | |
245 | (BN_ULONG *)_nist_p_224[0], | |
246 | BN_NIST_224_TOP, | |
247 | BN_NIST_224_TOP, | |
248 | 0, | |
249 | BN_FLG_STATIC_DATA | |
250 | }; | |
251 | ||
252 | static const BIGNUM _bignum_nist_p_256 = { | |
253 | (BN_ULONG *)_nist_p_256[0], | |
254 | BN_NIST_256_TOP, | |
255 | BN_NIST_256_TOP, | |
256 | 0, | |
257 | BN_FLG_STATIC_DATA | |
258 | }; | |
259 | ||
260 | static const BIGNUM _bignum_nist_p_384 = { | |
261 | (BN_ULONG *)_nist_p_384[0], | |
262 | BN_NIST_384_TOP, | |
263 | BN_NIST_384_TOP, | |
264 | 0, | |
265 | BN_FLG_STATIC_DATA | |
266 | }; | |
267 | ||
268 | static const BIGNUM _bignum_nist_p_521 = { | |
269 | (BN_ULONG *)_nist_p_521, | |
270 | BN_NIST_521_TOP, | |
271 | BN_NIST_521_TOP, | |
272 | 0, | |
273 | BN_FLG_STATIC_DATA | |
274 | }; | |
f8d6be3f | 275 | |
5c6bf031 | 276 | const BIGNUM *BN_get0_nist_prime_192(void) |
ae5c8664 MC |
277 | { |
278 | return &_bignum_nist_p_192; | |
279 | } | |
5c6bf031 BM |
280 | |
281 | const BIGNUM *BN_get0_nist_prime_224(void) | |
ae5c8664 MC |
282 | { |
283 | return &_bignum_nist_p_224; | |
284 | } | |
5c6bf031 BM |
285 | |
286 | const BIGNUM *BN_get0_nist_prime_256(void) | |
ae5c8664 MC |
287 | { |
288 | return &_bignum_nist_p_256; | |
289 | } | |
5c6bf031 BM |
290 | |
291 | const BIGNUM *BN_get0_nist_prime_384(void) | |
ae5c8664 MC |
292 | { |
293 | return &_bignum_nist_p_384; | |
294 | } | |
5c6bf031 BM |
295 | |
296 | const BIGNUM *BN_get0_nist_prime_521(void) | |
ae5c8664 MC |
297 | { |
298 | return &_bignum_nist_p_521; | |
299 | } | |
fcb41c0e | 300 | |
b9eef988 | 301 | static void nist_cp_bn_0(BN_ULONG *dst, const BN_ULONG *src, int top, int max) |
ae5c8664 MC |
302 | { |
303 | int i; | |
f8d6be3f | 304 | |
aff82595 | 305 | #ifdef BN_DEBUG |
ae5c8664 | 306 | OPENSSL_assert(top <= max); |
aff82595 | 307 | #endif |
ae5c8664 MC |
308 | for (i = 0; i < top; i++) |
309 | dst[i] = src[i]; | |
310 | for (; i < max; i++) | |
311 | dst[i] = 0; | |
312 | } | |
fcb41c0e | 313 | |
b9eef988 | 314 | static void nist_cp_bn(BN_ULONG *dst, const BN_ULONG *src, int top) |
ae5c8664 MC |
315 | { |
316 | int i; | |
5b7af6de | 317 | |
ae5c8664 MC |
318 | for (i = 0; i < top; i++) |
319 | dst[i] = src[i]; | |
320 | } | |
fcb41c0e | 321 | |
5c6bf031 | 322 | #if BN_BITS2 == 64 |
ae5c8664 MC |
323 | # define bn_cp_64(to, n, from, m) (to)[n] = (m>=0)?((from)[m]):0; |
324 | # define bn_64_set_0(to, n) (to)[n] = (BN_ULONG)0; | |
830b8877 AP |
325 | /* |
326 | * two following macros are implemented under assumption that they | |
327 | * are called in a sequence with *ascending* n, i.e. as they are... | |
328 | */ | |
ae5c8664 MC |
329 | # define bn_cp_32_naked(to, n, from, m) (((n)&1)?(to[(n)/2]|=((m)&1)?(from[(m)/2]&BN_MASK2h):(from[(m)/2]<<32))\ |
330 | :(to[(n)/2] =((m)&1)?(from[(m)/2]>>32):(from[(m)/2]&BN_MASK2l))) | |
331 | # define bn_32_set_0(to, n) (((n)&1)?(to[(n)/2]&=BN_MASK2l):(to[(n)/2]=0)); | |
332 | # define bn_cp_32(to,n,from,m) ((m)>=0)?bn_cp_32_naked(to,n,from,m):bn_32_set_0(to,n) | |
9f1c5491 AP |
333 | # if defined(L_ENDIAN) |
334 | # if defined(__arch64__) | |
335 | # define NIST_INT64 long | |
336 | # else | |
337 | # define NIST_INT64 long long | |
338 | # endif | |
339 | # endif | |
5c6bf031 | 340 | #else |
ae5c8664 MC |
341 | # define bn_cp_64(to, n, from, m) \ |
342 | { \ | |
343 | bn_cp_32(to, (n)*2, from, (m)*2); \ | |
344 | bn_cp_32(to, (n)*2+1, from, (m)*2+1); \ | |
345 | } | |
346 | # define bn_64_set_0(to, n) \ | |
347 | { \ | |
348 | bn_32_set_0(to, (n)*2); \ | |
349 | bn_32_set_0(to, (n)*2+1); \ | |
350 | } | |
351 | # define bn_cp_32(to, n, from, m) (to)[n] = (m>=0)?((from)[m]):0; | |
352 | # define bn_32_set_0(to, n) (to)[n] = (BN_ULONG)0; | |
9f1c5491 AP |
353 | # if defined(_WIN32) && !defined(__GNUC__) |
354 | # define NIST_INT64 __int64 | |
d06f047b | 355 | # elif defined(BN_LLONG) |
9f1c5491 AP |
356 | # define NIST_INT64 long long |
357 | # endif | |
ae5c8664 | 358 | #endif /* BN_BITS2 != 64 */ |
5c6bf031 | 359 | |
fcb41c0e | 360 | #define nist_set_192(to, from, a1, a2, a3) \ |
ae5c8664 MC |
361 | { \ |
362 | bn_cp_64(to, 0, from, (a3) - 3) \ | |
363 | bn_cp_64(to, 1, from, (a2) - 3) \ | |
364 | bn_cp_64(to, 2, from, (a1) - 3) \ | |
365 | } | |
5c6bf031 BM |
366 | |
367 | int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, | |
ae5c8664 MC |
368 | BN_CTX *ctx) |
369 | { | |
370 | int top = a->top, i; | |
371 | int carry; | |
372 | register BN_ULONG *r_d, *a_d = a->d; | |
373 | union { | |
374 | BN_ULONG bn[BN_NIST_192_TOP]; | |
375 | unsigned int ui[BN_NIST_192_TOP * sizeof(BN_ULONG) / | |
376 | sizeof(unsigned int)]; | |
377 | } buf; | |
378 | BN_ULONG c_d[BN_NIST_192_TOP], *res; | |
379 | PTR_SIZE_INT mask; | |
380 | static const BIGNUM _bignum_nist_p_192_sqr = { | |
381 | (BN_ULONG *)_nist_p_192_sqr, | |
382 | sizeof(_nist_p_192_sqr) / sizeof(_nist_p_192_sqr[0]), | |
383 | sizeof(_nist_p_192_sqr) / sizeof(_nist_p_192_sqr[0]), | |
384 | 0, BN_FLG_STATIC_DATA | |
385 | }; | |
386 | ||
387 | field = &_bignum_nist_p_192; /* just to make sure */ | |
388 | ||
389 | if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_192_sqr) >= 0) | |
390 | return BN_nnmod(r, a, field, ctx); | |
391 | ||
392 | i = BN_ucmp(field, a); | |
393 | if (i == 0) { | |
394 | BN_zero(r); | |
395 | return 1; | |
396 | } else if (i > 0) | |
397 | return (r == a) ? 1 : (BN_copy(r, a) != NULL); | |
398 | ||
399 | if (r != a) { | |
400 | if (!bn_wexpand(r, BN_NIST_192_TOP)) | |
401 | return 0; | |
402 | r_d = r->d; | |
403 | nist_cp_bn(r_d, a_d, BN_NIST_192_TOP); | |
404 | } else | |
405 | r_d = a_d; | |
406 | ||
407 | nist_cp_bn_0(buf.bn, a_d + BN_NIST_192_TOP, top - BN_NIST_192_TOP, | |
408 | BN_NIST_192_TOP); | |
9f1c5491 AP |
409 | |
410 | #if defined(NIST_INT64) | |
ae5c8664 MC |
411 | { |
412 | NIST_INT64 acc; /* accumulator */ | |
413 | unsigned int *rp = (unsigned int *)r_d; | |
414 | const unsigned int *bp = (const unsigned int *)buf.ui; | |
415 | ||
416 | acc = rp[0]; | |
417 | acc += bp[3 * 2 - 6]; | |
418 | acc += bp[5 * 2 - 6]; | |
419 | rp[0] = (unsigned int)acc; | |
420 | acc >>= 32; | |
421 | ||
422 | acc += rp[1]; | |
423 | acc += bp[3 * 2 - 5]; | |
424 | acc += bp[5 * 2 - 5]; | |
425 | rp[1] = (unsigned int)acc; | |
426 | acc >>= 32; | |
427 | ||
428 | acc += rp[2]; | |
429 | acc += bp[3 * 2 - 6]; | |
430 | acc += bp[4 * 2 - 6]; | |
431 | acc += bp[5 * 2 - 6]; | |
432 | rp[2] = (unsigned int)acc; | |
433 | acc >>= 32; | |
434 | ||
435 | acc += rp[3]; | |
436 | acc += bp[3 * 2 - 5]; | |
437 | acc += bp[4 * 2 - 5]; | |
438 | acc += bp[5 * 2 - 5]; | |
439 | rp[3] = (unsigned int)acc; | |
440 | acc >>= 32; | |
441 | ||
442 | acc += rp[4]; | |
443 | acc += bp[4 * 2 - 6]; | |
444 | acc += bp[5 * 2 - 6]; | |
445 | rp[4] = (unsigned int)acc; | |
446 | acc >>= 32; | |
447 | ||
448 | acc += rp[5]; | |
449 | acc += bp[4 * 2 - 5]; | |
450 | acc += bp[5 * 2 - 5]; | |
451 | rp[5] = (unsigned int)acc; | |
452 | ||
453 | carry = (int)(acc >> 32); | |
454 | } | |
9f1c5491 | 455 | #else |
ae5c8664 MC |
456 | { |
457 | BN_ULONG t_d[BN_NIST_192_TOP]; | |
458 | ||
459 | nist_set_192(t_d, buf.bn, 0, 3, 3); | |
460 | carry = (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP); | |
461 | nist_set_192(t_d, buf.bn, 4, 4, 0); | |
462 | carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP); | |
463 | nist_set_192(t_d, buf.bn, 5, 5, 5) | |
464 | carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP); | |
465 | } | |
9f1c5491 | 466 | #endif |
ae5c8664 MC |
467 | if (carry > 0) |
468 | carry = | |
469 | (int)bn_sub_words(r_d, r_d, _nist_p_192[carry - 1], | |
470 | BN_NIST_192_TOP); | |
471 | else | |
472 | carry = 1; | |
473 | ||
474 | /* | |
475 | * we need 'if (carry==0 || result>=modulus) result-=modulus;' | |
476 | * as comparison implies subtraction, we can write | |
477 | * 'tmp=result-modulus; if (!carry || !borrow) result=tmp;' | |
478 | * this is what happens below, but without explicit if:-) a. | |
479 | */ | |
480 | mask = | |
481 | 0 - (PTR_SIZE_INT) bn_sub_words(c_d, r_d, _nist_p_192[0], | |
482 | BN_NIST_192_TOP); | |
483 | mask &= 0 - (PTR_SIZE_INT) carry; | |
484 | res = c_d; | |
485 | res = (BN_ULONG *) | |
486 | (((PTR_SIZE_INT) res & ~mask) | ((PTR_SIZE_INT) r_d & mask)); | |
487 | nist_cp_bn(r_d, res, BN_NIST_192_TOP); | |
488 | r->top = BN_NIST_192_TOP; | |
489 | bn_correct_top(r); | |
490 | ||
491 | return 1; | |
492 | } | |
493 | ||
494 | typedef BN_ULONG (*bn_addsub_f) (BN_ULONG *, const BN_ULONG *, | |
495 | const BN_ULONG *, int); | |
830b8877 | 496 | |
fcb41c0e | 497 | #define nist_set_224(to, from, a1, a2, a3, a4, a5, a6, a7) \ |
ae5c8664 MC |
498 | { \ |
499 | bn_cp_32(to, 0, from, (a7) - 7) \ | |
500 | bn_cp_32(to, 1, from, (a6) - 7) \ | |
501 | bn_cp_32(to, 2, from, (a5) - 7) \ | |
502 | bn_cp_32(to, 3, from, (a4) - 7) \ | |
503 | bn_cp_32(to, 4, from, (a3) - 7) \ | |
504 | bn_cp_32(to, 5, from, (a2) - 7) \ | |
505 | bn_cp_32(to, 6, from, (a1) - 7) \ | |
506 | } | |
5c6bf031 BM |
507 | |
508 | int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, | |
ae5c8664 MC |
509 | BN_CTX *ctx) |
510 | { | |
511 | int top = a->top, i; | |
512 | int carry; | |
513 | BN_ULONG *r_d, *a_d = a->d; | |
514 | union { | |
515 | BN_ULONG bn[BN_NIST_224_TOP]; | |
516 | unsigned int ui[BN_NIST_224_TOP * sizeof(BN_ULONG) / | |
517 | sizeof(unsigned int)]; | |
518 | } buf; | |
519 | BN_ULONG c_d[BN_NIST_224_TOP], *res; | |
520 | PTR_SIZE_INT mask; | |
521 | union { | |
522 | bn_addsub_f f; | |
523 | PTR_SIZE_INT p; | |
524 | } u; | |
525 | static const BIGNUM _bignum_nist_p_224_sqr = { | |
526 | (BN_ULONG *)_nist_p_224_sqr, | |
527 | sizeof(_nist_p_224_sqr) / sizeof(_nist_p_224_sqr[0]), | |
528 | sizeof(_nist_p_224_sqr) / sizeof(_nist_p_224_sqr[0]), | |
529 | 0, BN_FLG_STATIC_DATA | |
530 | }; | |
531 | ||
532 | field = &_bignum_nist_p_224; /* just to make sure */ | |
533 | ||
534 | if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_224_sqr) >= 0) | |
535 | return BN_nnmod(r, a, field, ctx); | |
536 | ||
537 | i = BN_ucmp(field, a); | |
538 | if (i == 0) { | |
539 | BN_zero(r); | |
540 | return 1; | |
541 | } else if (i > 0) | |
542 | return (r == a) ? 1 : (BN_copy(r, a) != NULL); | |
543 | ||
544 | if (r != a) { | |
545 | if (!bn_wexpand(r, BN_NIST_224_TOP)) | |
546 | return 0; | |
547 | r_d = r->d; | |
548 | nist_cp_bn(r_d, a_d, BN_NIST_224_TOP); | |
549 | } else | |
550 | r_d = a_d; | |
5c6bf031 | 551 | |
ba6f95e8 | 552 | #if BN_BITS2==64 |
ae5c8664 MC |
553 | /* copy upper 256 bits of 448 bit number ... */ |
554 | nist_cp_bn_0(c_d, a_d + (BN_NIST_224_TOP - 1), | |
555 | top - (BN_NIST_224_TOP - 1), BN_NIST_224_TOP); | |
556 | /* ... and right shift by 32 to obtain upper 224 bits */ | |
557 | nist_set_224(buf.bn, c_d, 14, 13, 12, 11, 10, 9, 8); | |
558 | /* truncate lower part to 224 bits too */ | |
559 | r_d[BN_NIST_224_TOP - 1] &= BN_MASK2l; | |
ba6f95e8 | 560 | #else |
ae5c8664 MC |
561 | nist_cp_bn_0(buf.bn, a_d + BN_NIST_224_TOP, top - BN_NIST_224_TOP, |
562 | BN_NIST_224_TOP); | |
ba6f95e8 | 563 | #endif |
9f1c5491 AP |
564 | |
565 | #if defined(NIST_INT64) && BN_BITS2!=64 | |
ae5c8664 MC |
566 | { |
567 | NIST_INT64 acc; /* accumulator */ | |
568 | unsigned int *rp = (unsigned int *)r_d; | |
569 | const unsigned int *bp = (const unsigned int *)buf.ui; | |
570 | ||
571 | acc = rp[0]; | |
572 | acc -= bp[7 - 7]; | |
573 | acc -= bp[11 - 7]; | |
574 | rp[0] = (unsigned int)acc; | |
575 | acc >>= 32; | |
576 | ||
577 | acc += rp[1]; | |
578 | acc -= bp[8 - 7]; | |
579 | acc -= bp[12 - 7]; | |
580 | rp[1] = (unsigned int)acc; | |
581 | acc >>= 32; | |
582 | ||
583 | acc += rp[2]; | |
584 | acc -= bp[9 - 7]; | |
585 | acc -= bp[13 - 7]; | |
586 | rp[2] = (unsigned int)acc; | |
587 | acc >>= 32; | |
588 | ||
589 | acc += rp[3]; | |
590 | acc += bp[7 - 7]; | |
591 | acc += bp[11 - 7]; | |
592 | acc -= bp[10 - 7]; | |
593 | rp[3] = (unsigned int)acc; | |
594 | acc >>= 32; | |
595 | ||
596 | acc += rp[4]; | |
597 | acc += bp[8 - 7]; | |
598 | acc += bp[12 - 7]; | |
599 | acc -= bp[11 - 7]; | |
600 | rp[4] = (unsigned int)acc; | |
601 | acc >>= 32; | |
602 | ||
603 | acc += rp[5]; | |
604 | acc += bp[9 - 7]; | |
605 | acc += bp[13 - 7]; | |
606 | acc -= bp[12 - 7]; | |
607 | rp[5] = (unsigned int)acc; | |
608 | acc >>= 32; | |
609 | ||
610 | acc += rp[6]; | |
611 | acc += bp[10 - 7]; | |
612 | acc -= bp[13 - 7]; | |
613 | rp[6] = (unsigned int)acc; | |
614 | ||
615 | carry = (int)(acc >> 32); | |
9f1c5491 | 616 | # if BN_BITS2==64 |
ae5c8664 | 617 | rp[7] = carry; |
9f1c5491 | 618 | # endif |
ae5c8664 | 619 | } |
9f1c5491 | 620 | #else |
ae5c8664 MC |
621 | { |
622 | BN_ULONG t_d[BN_NIST_224_TOP]; | |
623 | ||
624 | nist_set_224(t_d, buf.bn, 10, 9, 8, 7, 0, 0, 0); | |
625 | carry = (int)bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP); | |
626 | nist_set_224(t_d, buf.bn, 0, 13, 12, 11, 0, 0, 0); | |
627 | carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP); | |
628 | nist_set_224(t_d, buf.bn, 13, 12, 11, 10, 9, 8, 7); | |
629 | carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP); | |
630 | nist_set_224(t_d, buf.bn, 0, 0, 0, 0, 13, 12, 11); | |
631 | carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP); | |
299ab428 | 632 | |
ae5c8664 MC |
633 | # if BN_BITS2==64 |
634 | carry = (int)(r_d[BN_NIST_224_TOP - 1] >> 32); | |
635 | # endif | |
636 | } | |
ba6f95e8 | 637 | #endif |
ae5c8664 MC |
638 | u.f = bn_sub_words; |
639 | if (carry > 0) { | |
640 | carry = | |
641 | (int)bn_sub_words(r_d, r_d, _nist_p_224[carry - 1], | |
642 | BN_NIST_224_TOP); | |
ba6f95e8 | 643 | #if BN_BITS2==64 |
ae5c8664 | 644 | carry = (int)(~(r_d[BN_NIST_224_TOP - 1] >> 32)) & 1; |
ba6f95e8 | 645 | #endif |
ae5c8664 MC |
646 | } else if (carry < 0) { |
647 | /* | |
648 | * it's a bit more comlicated logic in this case. if bn_add_words | |
649 | * yields no carry, then result has to be adjusted by unconditionally | |
650 | * *adding* the modulus. but if it does, then result has to be | |
651 | * compared to the modulus and conditionally adjusted by | |
652 | * *subtracting* the latter. | |
653 | */ | |
654 | carry = | |
655 | (int)bn_add_words(r_d, r_d, _nist_p_224[-carry - 1], | |
656 | BN_NIST_224_TOP); | |
657 | mask = 0 - (PTR_SIZE_INT) carry; | |
658 | u.p = ((PTR_SIZE_INT) bn_sub_words & mask) | | |
659 | ((PTR_SIZE_INT) bn_add_words & ~mask); | |
660 | } else | |
661 | carry = 1; | |
662 | ||
663 | /* otherwise it's effectively same as in BN_nist_mod_192... */ | |
664 | mask = | |
665 | 0 - (PTR_SIZE_INT) (*u.f) (c_d, r_d, _nist_p_224[0], BN_NIST_224_TOP); | |
666 | mask &= 0 - (PTR_SIZE_INT) carry; | |
667 | res = c_d; | |
668 | res = (BN_ULONG *)(((PTR_SIZE_INT) res & ~mask) | | |
669 | ((PTR_SIZE_INT) r_d & mask)); | |
670 | nist_cp_bn(r_d, res, BN_NIST_224_TOP); | |
671 | r->top = BN_NIST_224_TOP; | |
672 | bn_correct_top(r); | |
673 | ||
674 | return 1; | |
675 | } | |
5c6bf031 | 676 | |
fcb41c0e | 677 | #define nist_set_256(to, from, a1, a2, a3, a4, a5, a6, a7, a8) \ |
ae5c8664 MC |
678 | { \ |
679 | bn_cp_32(to, 0, from, (a8) - 8) \ | |
680 | bn_cp_32(to, 1, from, (a7) - 8) \ | |
681 | bn_cp_32(to, 2, from, (a6) - 8) \ | |
682 | bn_cp_32(to, 3, from, (a5) - 8) \ | |
683 | bn_cp_32(to, 4, from, (a4) - 8) \ | |
684 | bn_cp_32(to, 5, from, (a3) - 8) \ | |
685 | bn_cp_32(to, 6, from, (a2) - 8) \ | |
686 | bn_cp_32(to, 7, from, (a1) - 8) \ | |
687 | } | |
5c6bf031 BM |
688 | |
689 | int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, | |
ae5c8664 MC |
690 | BN_CTX *ctx) |
691 | { | |
692 | int i, top = a->top; | |
693 | int carry = 0; | |
694 | register BN_ULONG *a_d = a->d, *r_d; | |
695 | union { | |
696 | BN_ULONG bn[BN_NIST_256_TOP]; | |
697 | unsigned int ui[BN_NIST_256_TOP * sizeof(BN_ULONG) / | |
698 | sizeof(unsigned int)]; | |
699 | } buf; | |
700 | BN_ULONG c_d[BN_NIST_256_TOP], *res; | |
701 | PTR_SIZE_INT mask; | |
702 | union { | |
703 | bn_addsub_f f; | |
704 | PTR_SIZE_INT p; | |
705 | } u; | |
706 | static const BIGNUM _bignum_nist_p_256_sqr = { | |
707 | (BN_ULONG *)_nist_p_256_sqr, | |
708 | sizeof(_nist_p_256_sqr) / sizeof(_nist_p_256_sqr[0]), | |
709 | sizeof(_nist_p_256_sqr) / sizeof(_nist_p_256_sqr[0]), | |
710 | 0, BN_FLG_STATIC_DATA | |
711 | }; | |
712 | ||
713 | field = &_bignum_nist_p_256; /* just to make sure */ | |
714 | ||
715 | if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_256_sqr) >= 0) | |
716 | return BN_nnmod(r, a, field, ctx); | |
717 | ||
718 | i = BN_ucmp(field, a); | |
719 | if (i == 0) { | |
720 | BN_zero(r); | |
721 | return 1; | |
722 | } else if (i > 0) | |
723 | return (r == a) ? 1 : (BN_copy(r, a) != NULL); | |
724 | ||
725 | if (r != a) { | |
726 | if (!bn_wexpand(r, BN_NIST_256_TOP)) | |
727 | return 0; | |
728 | r_d = r->d; | |
729 | nist_cp_bn(r_d, a_d, BN_NIST_256_TOP); | |
730 | } else | |
731 | r_d = a_d; | |
732 | ||
733 | nist_cp_bn_0(buf.bn, a_d + BN_NIST_256_TOP, top - BN_NIST_256_TOP, | |
734 | BN_NIST_256_TOP); | |
9f1c5491 AP |
735 | |
736 | #if defined(NIST_INT64) | |
ae5c8664 MC |
737 | { |
738 | NIST_INT64 acc; /* accumulator */ | |
739 | unsigned int *rp = (unsigned int *)r_d; | |
740 | const unsigned int *bp = (const unsigned int *)buf.ui; | |
741 | ||
742 | acc = rp[0]; | |
743 | acc += bp[8 - 8]; | |
744 | acc += bp[9 - 8]; | |
745 | acc -= bp[11 - 8]; | |
746 | acc -= bp[12 - 8]; | |
747 | acc -= bp[13 - 8]; | |
748 | acc -= bp[14 - 8]; | |
749 | rp[0] = (unsigned int)acc; | |
750 | acc >>= 32; | |
751 | ||
752 | acc += rp[1]; | |
753 | acc += bp[9 - 8]; | |
754 | acc += bp[10 - 8]; | |
755 | acc -= bp[12 - 8]; | |
756 | acc -= bp[13 - 8]; | |
757 | acc -= bp[14 - 8]; | |
758 | acc -= bp[15 - 8]; | |
759 | rp[1] = (unsigned int)acc; | |
760 | acc >>= 32; | |
761 | ||
762 | acc += rp[2]; | |
763 | acc += bp[10 - 8]; | |
764 | acc += bp[11 - 8]; | |
765 | acc -= bp[13 - 8]; | |
766 | acc -= bp[14 - 8]; | |
767 | acc -= bp[15 - 8]; | |
768 | rp[2] = (unsigned int)acc; | |
769 | acc >>= 32; | |
770 | ||
771 | acc += rp[3]; | |
772 | acc += bp[11 - 8]; | |
773 | acc += bp[11 - 8]; | |
774 | acc += bp[12 - 8]; | |
775 | acc += bp[12 - 8]; | |
776 | acc += bp[13 - 8]; | |
777 | acc -= bp[15 - 8]; | |
778 | acc -= bp[8 - 8]; | |
779 | acc -= bp[9 - 8]; | |
780 | rp[3] = (unsigned int)acc; | |
781 | acc >>= 32; | |
782 | ||
783 | acc += rp[4]; | |
784 | acc += bp[12 - 8]; | |
785 | acc += bp[12 - 8]; | |
786 | acc += bp[13 - 8]; | |
787 | acc += bp[13 - 8]; | |
788 | acc += bp[14 - 8]; | |
789 | acc -= bp[9 - 8]; | |
790 | acc -= bp[10 - 8]; | |
791 | rp[4] = (unsigned int)acc; | |
792 | acc >>= 32; | |
793 | ||
794 | acc += rp[5]; | |
795 | acc += bp[13 - 8]; | |
796 | acc += bp[13 - 8]; | |
797 | acc += bp[14 - 8]; | |
798 | acc += bp[14 - 8]; | |
799 | acc += bp[15 - 8]; | |
800 | acc -= bp[10 - 8]; | |
801 | acc -= bp[11 - 8]; | |
802 | rp[5] = (unsigned int)acc; | |
803 | acc >>= 32; | |
804 | ||
805 | acc += rp[6]; | |
806 | acc += bp[14 - 8]; | |
807 | acc += bp[14 - 8]; | |
808 | acc += bp[15 - 8]; | |
809 | acc += bp[15 - 8]; | |
810 | acc += bp[14 - 8]; | |
811 | acc += bp[13 - 8]; | |
812 | acc -= bp[8 - 8]; | |
813 | acc -= bp[9 - 8]; | |
814 | rp[6] = (unsigned int)acc; | |
815 | acc >>= 32; | |
816 | ||
817 | acc += rp[7]; | |
818 | acc += bp[15 - 8]; | |
819 | acc += bp[15 - 8]; | |
820 | acc += bp[15 - 8]; | |
821 | acc += bp[8 - 8]; | |
822 | acc -= bp[10 - 8]; | |
823 | acc -= bp[11 - 8]; | |
824 | acc -= bp[12 - 8]; | |
825 | acc -= bp[13 - 8]; | |
826 | rp[7] = (unsigned int)acc; | |
827 | ||
828 | carry = (int)(acc >> 32); | |
829 | } | |
9f1c5491 | 830 | #else |
ae5c8664 MC |
831 | { |
832 | BN_ULONG t_d[BN_NIST_256_TOP]; | |
833 | ||
834 | /* | |
835 | * S1 | |
836 | */ | |
837 | nist_set_256(t_d, buf.bn, 15, 14, 13, 12, 11, 0, 0, 0); | |
838 | /* | |
839 | * S2 | |
840 | */ | |
841 | nist_set_256(c_d, buf.bn, 0, 15, 14, 13, 12, 0, 0, 0); | |
842 | carry = (int)bn_add_words(t_d, t_d, c_d, BN_NIST_256_TOP); | |
843 | /* left shift */ | |
844 | { | |
845 | register BN_ULONG *ap, t, c; | |
846 | ap = t_d; | |
847 | c = 0; | |
848 | for (i = BN_NIST_256_TOP; i != 0; --i) { | |
849 | t = *ap; | |
850 | *(ap++) = ((t << 1) | c) & BN_MASK2; | |
851 | c = (t & BN_TBIT) ? 1 : 0; | |
852 | } | |
853 | carry <<= 1; | |
854 | carry |= c; | |
855 | } | |
856 | carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP); | |
857 | /* | |
858 | * S3 | |
859 | */ | |
860 | nist_set_256(t_d, buf.bn, 15, 14, 0, 0, 0, 10, 9, 8); | |
861 | carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP); | |
862 | /* | |
863 | * S4 | |
864 | */ | |
865 | nist_set_256(t_d, buf.bn, 8, 13, 15, 14, 13, 11, 10, 9); | |
866 | carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP); | |
867 | /* | |
868 | * D1 | |
869 | */ | |
870 | nist_set_256(t_d, buf.bn, 10, 8, 0, 0, 0, 13, 12, 11); | |
871 | carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP); | |
872 | /* | |
873 | * D2 | |
874 | */ | |
875 | nist_set_256(t_d, buf.bn, 11, 9, 0, 0, 15, 14, 13, 12); | |
876 | carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP); | |
877 | /* | |
878 | * D3 | |
879 | */ | |
880 | nist_set_256(t_d, buf.bn, 12, 0, 10, 9, 8, 15, 14, 13); | |
881 | carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP); | |
882 | /* | |
883 | * D4 | |
884 | */ | |
885 | nist_set_256(t_d, buf.bn, 13, 0, 11, 10, 9, 0, 15, 14); | |
886 | carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP); | |
887 | ||
888 | } | |
9f1c5491 | 889 | #endif |
ae5c8664 MC |
890 | /* see BN_nist_mod_224 for explanation */ |
891 | u.f = bn_sub_words; | |
892 | if (carry > 0) | |
893 | carry = | |
894 | (int)bn_sub_words(r_d, r_d, _nist_p_256[carry - 1], | |
895 | BN_NIST_256_TOP); | |
896 | else if (carry < 0) { | |
897 | carry = | |
898 | (int)bn_add_words(r_d, r_d, _nist_p_256[-carry - 1], | |
899 | BN_NIST_256_TOP); | |
900 | mask = 0 - (PTR_SIZE_INT) carry; | |
901 | u.p = ((PTR_SIZE_INT) bn_sub_words & mask) | | |
902 | ((PTR_SIZE_INT) bn_add_words & ~mask); | |
903 | } else | |
904 | carry = 1; | |
905 | ||
906 | mask = | |
907 | 0 - (PTR_SIZE_INT) (*u.f) (c_d, r_d, _nist_p_256[0], BN_NIST_256_TOP); | |
908 | mask &= 0 - (PTR_SIZE_INT) carry; | |
909 | res = c_d; | |
910 | res = (BN_ULONG *)(((PTR_SIZE_INT) res & ~mask) | | |
911 | ((PTR_SIZE_INT) r_d & mask)); | |
912 | nist_cp_bn(r_d, res, BN_NIST_256_TOP); | |
913 | r->top = BN_NIST_256_TOP; | |
914 | bn_correct_top(r); | |
915 | ||
916 | return 1; | |
917 | } | |
5c6bf031 | 918 | |
fcb41c0e | 919 | #define nist_set_384(to,from,a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12) \ |
ae5c8664 MC |
920 | { \ |
921 | bn_cp_32(to, 0, from, (a12) - 12) \ | |
922 | bn_cp_32(to, 1, from, (a11) - 12) \ | |
923 | bn_cp_32(to, 2, from, (a10) - 12) \ | |
924 | bn_cp_32(to, 3, from, (a9) - 12) \ | |
925 | bn_cp_32(to, 4, from, (a8) - 12) \ | |
926 | bn_cp_32(to, 5, from, (a7) - 12) \ | |
927 | bn_cp_32(to, 6, from, (a6) - 12) \ | |
928 | bn_cp_32(to, 7, from, (a5) - 12) \ | |
929 | bn_cp_32(to, 8, from, (a4) - 12) \ | |
930 | bn_cp_32(to, 9, from, (a3) - 12) \ | |
931 | bn_cp_32(to, 10, from, (a2) - 12) \ | |
932 | bn_cp_32(to, 11, from, (a1) - 12) \ | |
933 | } | |
5c6bf031 BM |
934 | |
935 | int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, | |
ae5c8664 MC |
936 | BN_CTX *ctx) |
937 | { | |
938 | int i, top = a->top; | |
939 | int carry = 0; | |
940 | register BN_ULONG *r_d, *a_d = a->d; | |
941 | union { | |
942 | BN_ULONG bn[BN_NIST_384_TOP]; | |
943 | unsigned int ui[BN_NIST_384_TOP * sizeof(BN_ULONG) / | |
944 | sizeof(unsigned int)]; | |
945 | } buf; | |
946 | BN_ULONG c_d[BN_NIST_384_TOP], *res; | |
947 | PTR_SIZE_INT mask; | |
948 | union { | |
949 | bn_addsub_f f; | |
950 | PTR_SIZE_INT p; | |
951 | } u; | |
952 | static const BIGNUM _bignum_nist_p_384_sqr = { | |
953 | (BN_ULONG *)_nist_p_384_sqr, | |
954 | sizeof(_nist_p_384_sqr) / sizeof(_nist_p_384_sqr[0]), | |
955 | sizeof(_nist_p_384_sqr) / sizeof(_nist_p_384_sqr[0]), | |
956 | 0, BN_FLG_STATIC_DATA | |
957 | }; | |
958 | ||
959 | field = &_bignum_nist_p_384; /* just to make sure */ | |
960 | ||
961 | if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_384_sqr) >= 0) | |
962 | return BN_nnmod(r, a, field, ctx); | |
963 | ||
964 | i = BN_ucmp(field, a); | |
965 | if (i == 0) { | |
966 | BN_zero(r); | |
967 | return 1; | |
968 | } else if (i > 0) | |
969 | return (r == a) ? 1 : (BN_copy(r, a) != NULL); | |
970 | ||
971 | if (r != a) { | |
972 | if (!bn_wexpand(r, BN_NIST_384_TOP)) | |
973 | return 0; | |
974 | r_d = r->d; | |
975 | nist_cp_bn(r_d, a_d, BN_NIST_384_TOP); | |
976 | } else | |
977 | r_d = a_d; | |
978 | ||
979 | nist_cp_bn_0(buf.bn, a_d + BN_NIST_384_TOP, top - BN_NIST_384_TOP, | |
980 | BN_NIST_384_TOP); | |
9f1c5491 AP |
981 | |
982 | #if defined(NIST_INT64) | |
ae5c8664 MC |
983 | { |
984 | NIST_INT64 acc; /* accumulator */ | |
985 | unsigned int *rp = (unsigned int *)r_d; | |
986 | const unsigned int *bp = (const unsigned int *)buf.ui; | |
987 | ||
988 | acc = rp[0]; | |
989 | acc += bp[12 - 12]; | |
990 | acc += bp[21 - 12]; | |
991 | acc += bp[20 - 12]; | |
992 | acc -= bp[23 - 12]; | |
993 | rp[0] = (unsigned int)acc; | |
994 | acc >>= 32; | |
995 | ||
996 | acc += rp[1]; | |
997 | acc += bp[13 - 12]; | |
998 | acc += bp[22 - 12]; | |
999 | acc += bp[23 - 12]; | |
1000 | acc -= bp[12 - 12]; | |
1001 | acc -= bp[20 - 12]; | |
1002 | rp[1] = (unsigned int)acc; | |
1003 | acc >>= 32; | |
1004 | ||
1005 | acc += rp[2]; | |
1006 | acc += bp[14 - 12]; | |
1007 | acc += bp[23 - 12]; | |
1008 | acc -= bp[13 - 12]; | |
1009 | acc -= bp[21 - 12]; | |
1010 | rp[2] = (unsigned int)acc; | |
1011 | acc >>= 32; | |
1012 | ||
1013 | acc += rp[3]; | |
1014 | acc += bp[15 - 12]; | |
1015 | acc += bp[12 - 12]; | |
1016 | acc += bp[20 - 12]; | |
1017 | acc += bp[21 - 12]; | |
1018 | acc -= bp[14 - 12]; | |
1019 | acc -= bp[22 - 12]; | |
1020 | acc -= bp[23 - 12]; | |
1021 | rp[3] = (unsigned int)acc; | |
1022 | acc >>= 32; | |
1023 | ||
1024 | acc += rp[4]; | |
1025 | acc += bp[21 - 12]; | |
1026 | acc += bp[21 - 12]; | |
1027 | acc += bp[16 - 12]; | |
1028 | acc += bp[13 - 12]; | |
1029 | acc += bp[12 - 12]; | |
1030 | acc += bp[20 - 12]; | |
1031 | acc += bp[22 - 12]; | |
1032 | acc -= bp[15 - 12]; | |
1033 | acc -= bp[23 - 12]; | |
1034 | acc -= bp[23 - 12]; | |
1035 | rp[4] = (unsigned int)acc; | |
1036 | acc >>= 32; | |
1037 | ||
1038 | acc += rp[5]; | |
1039 | acc += bp[22 - 12]; | |
1040 | acc += bp[22 - 12]; | |
1041 | acc += bp[17 - 12]; | |
1042 | acc += bp[14 - 12]; | |
1043 | acc += bp[13 - 12]; | |
1044 | acc += bp[21 - 12]; | |
1045 | acc += bp[23 - 12]; | |
1046 | acc -= bp[16 - 12]; | |
1047 | rp[5] = (unsigned int)acc; | |
1048 | acc >>= 32; | |
1049 | ||
1050 | acc += rp[6]; | |
1051 | acc += bp[23 - 12]; | |
1052 | acc += bp[23 - 12]; | |
1053 | acc += bp[18 - 12]; | |
1054 | acc += bp[15 - 12]; | |
1055 | acc += bp[14 - 12]; | |
1056 | acc += bp[22 - 12]; | |
1057 | acc -= bp[17 - 12]; | |
1058 | rp[6] = (unsigned int)acc; | |
1059 | acc >>= 32; | |
1060 | ||
1061 | acc += rp[7]; | |
1062 | acc += bp[19 - 12]; | |
1063 | acc += bp[16 - 12]; | |
1064 | acc += bp[15 - 12]; | |
1065 | acc += bp[23 - 12]; | |
1066 | acc -= bp[18 - 12]; | |
1067 | rp[7] = (unsigned int)acc; | |
1068 | acc >>= 32; | |
1069 | ||
1070 | acc += rp[8]; | |
1071 | acc += bp[20 - 12]; | |
1072 | acc += bp[17 - 12]; | |
1073 | acc += bp[16 - 12]; | |
1074 | acc -= bp[19 - 12]; | |
1075 | rp[8] = (unsigned int)acc; | |
1076 | acc >>= 32; | |
1077 | ||
1078 | acc += rp[9]; | |
1079 | acc += bp[21 - 12]; | |
1080 | acc += bp[18 - 12]; | |
1081 | acc += bp[17 - 12]; | |
1082 | acc -= bp[20 - 12]; | |
1083 | rp[9] = (unsigned int)acc; | |
1084 | acc >>= 32; | |
1085 | ||
1086 | acc += rp[10]; | |
1087 | acc += bp[22 - 12]; | |
1088 | acc += bp[19 - 12]; | |
1089 | acc += bp[18 - 12]; | |
1090 | acc -= bp[21 - 12]; | |
1091 | rp[10] = (unsigned int)acc; | |
1092 | acc >>= 32; | |
1093 | ||
1094 | acc += rp[11]; | |
1095 | acc += bp[23 - 12]; | |
1096 | acc += bp[20 - 12]; | |
1097 | acc += bp[19 - 12]; | |
1098 | acc -= bp[22 - 12]; | |
1099 | rp[11] = (unsigned int)acc; | |
1100 | ||
1101 | carry = (int)(acc >> 32); | |
1102 | } | |
9f1c5491 | 1103 | #else |
ae5c8664 MC |
1104 | { |
1105 | BN_ULONG t_d[BN_NIST_384_TOP]; | |
1106 | ||
1107 | /* | |
1108 | * S1 | |
1109 | */ | |
1110 | nist_set_256(t_d, buf.bn, 0, 0, 0, 0, 0, 23 - 4, 22 - 4, 21 - 4); | |
1111 | /* left shift */ | |
1112 | { | |
1113 | register BN_ULONG *ap, t, c; | |
1114 | ap = t_d; | |
1115 | c = 0; | |
1116 | for (i = 3; i != 0; --i) { | |
1117 | t = *ap; | |
1118 | *(ap++) = ((t << 1) | c) & BN_MASK2; | |
1119 | c = (t & BN_TBIT) ? 1 : 0; | |
1120 | } | |
1121 | *ap = c; | |
1122 | } | |
1123 | carry = | |
1124 | (int)bn_add_words(r_d + (128 / BN_BITS2), r_d + (128 / BN_BITS2), | |
1125 | t_d, BN_NIST_256_TOP); | |
1126 | /* | |
1127 | * S2 | |
1128 | */ | |
1129 | carry += (int)bn_add_words(r_d, r_d, buf.bn, BN_NIST_384_TOP); | |
1130 | /* | |
1131 | * S3 | |
1132 | */ | |
1133 | nist_set_384(t_d, buf.bn, 20, 19, 18, 17, 16, 15, 14, 13, 12, 23, 22, | |
1134 | 21); | |
1135 | carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP); | |
1136 | /* | |
1137 | * S4 | |
1138 | */ | |
1139 | nist_set_384(t_d, buf.bn, 19, 18, 17, 16, 15, 14, 13, 12, 20, 0, 23, | |
1140 | 0); | |
1141 | carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP); | |
1142 | /* | |
1143 | * S5 | |
1144 | */ | |
1145 | nist_set_384(t_d, buf.bn, 0, 0, 0, 0, 23, 22, 21, 20, 0, 0, 0, 0); | |
1146 | carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP); | |
1147 | /* | |
1148 | * S6 | |
1149 | */ | |
1150 | nist_set_384(t_d, buf.bn, 0, 0, 0, 0, 0, 0, 23, 22, 21, 0, 0, 20); | |
1151 | carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP); | |
1152 | /* | |
1153 | * D1 | |
1154 | */ | |
1155 | nist_set_384(t_d, buf.bn, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, | |
1156 | 23); | |
1157 | carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP); | |
1158 | /* | |
1159 | * D2 | |
1160 | */ | |
1161 | nist_set_384(t_d, buf.bn, 0, 0, 0, 0, 0, 0, 0, 23, 22, 21, 20, 0); | |
1162 | carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP); | |
1163 | /* | |
1164 | * D3 | |
1165 | */ | |
1166 | nist_set_384(t_d, buf.bn, 0, 0, 0, 0, 0, 0, 0, 23, 23, 0, 0, 0); | |
1167 | carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP); | |
1168 | ||
1169 | } | |
9f1c5491 | 1170 | #endif |
ae5c8664 MC |
1171 | /* see BN_nist_mod_224 for explanation */ |
1172 | u.f = bn_sub_words; | |
1173 | if (carry > 0) | |
1174 | carry = | |
1175 | (int)bn_sub_words(r_d, r_d, _nist_p_384[carry - 1], | |
1176 | BN_NIST_384_TOP); | |
1177 | else if (carry < 0) { | |
1178 | carry = | |
1179 | (int)bn_add_words(r_d, r_d, _nist_p_384[-carry - 1], | |
1180 | BN_NIST_384_TOP); | |
1181 | mask = 0 - (PTR_SIZE_INT) carry; | |
1182 | u.p = ((PTR_SIZE_INT) bn_sub_words & mask) | | |
1183 | ((PTR_SIZE_INT) bn_add_words & ~mask); | |
1184 | } else | |
1185 | carry = 1; | |
1186 | ||
1187 | mask = | |
1188 | 0 - (PTR_SIZE_INT) (*u.f) (c_d, r_d, _nist_p_384[0], BN_NIST_384_TOP); | |
1189 | mask &= 0 - (PTR_SIZE_INT) carry; | |
1190 | res = c_d; | |
1191 | res = (BN_ULONG *)(((PTR_SIZE_INT) res & ~mask) | | |
1192 | ((PTR_SIZE_INT) r_d & mask)); | |
1193 | nist_cp_bn(r_d, res, BN_NIST_384_TOP); | |
1194 | r->top = BN_NIST_384_TOP; | |
1195 | bn_correct_top(r); | |
1196 | ||
1197 | return 1; | |
1198 | } | |
1199 | ||
1200 | #define BN_NIST_521_RSHIFT (521%BN_BITS2) | |
1201 | #define BN_NIST_521_LSHIFT (BN_BITS2-BN_NIST_521_RSHIFT) | |
1202 | #define BN_NIST_521_TOP_MASK ((BN_ULONG)BN_MASK2>>BN_NIST_521_LSHIFT) | |
762a2e3c | 1203 | |
5c6bf031 | 1204 | int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, |
ae5c8664 MC |
1205 | BN_CTX *ctx) |
1206 | { | |
1207 | int top = a->top, i; | |
1208 | BN_ULONG *r_d, *a_d = a->d, t_d[BN_NIST_521_TOP], val, tmp, *res; | |
1209 | PTR_SIZE_INT mask; | |
1210 | static const BIGNUM _bignum_nist_p_521_sqr = { | |
1211 | (BN_ULONG *)_nist_p_521_sqr, | |
1212 | sizeof(_nist_p_521_sqr) / sizeof(_nist_p_521_sqr[0]), | |
1213 | sizeof(_nist_p_521_sqr) / sizeof(_nist_p_521_sqr[0]), | |
1214 | 0, BN_FLG_STATIC_DATA | |
1215 | }; | |
1216 | ||
1217 | field = &_bignum_nist_p_521; /* just to make sure */ | |
1218 | ||
1219 | if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_521_sqr) >= 0) | |
1220 | return BN_nnmod(r, a, field, ctx); | |
1221 | ||
1222 | i = BN_ucmp(field, a); | |
1223 | if (i == 0) { | |
1224 | BN_zero(r); | |
1225 | return 1; | |
1226 | } else if (i > 0) | |
1227 | return (r == a) ? 1 : (BN_copy(r, a) != NULL); | |
1228 | ||
1229 | if (r != a) { | |
1230 | if (!bn_wexpand(r, BN_NIST_521_TOP)) | |
1231 | return 0; | |
1232 | r_d = r->d; | |
1233 | nist_cp_bn(r_d, a_d, BN_NIST_521_TOP); | |
1234 | } else | |
1235 | r_d = a_d; | |
1236 | ||
1237 | /* upper 521 bits, copy ... */ | |
1238 | nist_cp_bn_0(t_d, a_d + (BN_NIST_521_TOP - 1), | |
1239 | top - (BN_NIST_521_TOP - 1), BN_NIST_521_TOP); | |
1240 | /* ... and right shift */ | |
1241 | for (val = t_d[0], i = 0; i < BN_NIST_521_TOP - 1; i++) { | |
1242 | t_d[i] = (val >> BN_NIST_521_RSHIFT | | |
1243 | (tmp = t_d[i + 1]) << BN_NIST_521_LSHIFT) & BN_MASK2; | |
1244 | val = tmp; | |
1245 | } | |
1246 | t_d[i] = val >> BN_NIST_521_RSHIFT; | |
1247 | /* lower 521 bits */ | |
1248 | r_d[i] &= BN_NIST_521_TOP_MASK; | |
1249 | ||
1250 | bn_add_words(r_d, r_d, t_d, BN_NIST_521_TOP); | |
1251 | mask = | |
1252 | 0 - (PTR_SIZE_INT) bn_sub_words(t_d, r_d, _nist_p_521, | |
1253 | BN_NIST_521_TOP); | |
1254 | res = t_d; | |
1255 | res = (BN_ULONG *)(((PTR_SIZE_INT) res & ~mask) | | |
1256 | ((PTR_SIZE_INT) r_d & mask)); | |
1257 | nist_cp_bn(r_d, res, BN_NIST_521_TOP); | |
1258 | r->top = BN_NIST_521_TOP; | |
1259 | bn_correct_top(r); | |
1260 | ||
1261 | return 1; | |
1262 | } |