Files: ae87ba58f416c1874af79af3b07e26073441c010 / ext / mri / crypt_blowfish.c
26598 bytesRaw
1 | /* |
2 | * This code comes from John the Ripper password cracker, with reentrant |
3 | * and crypt(3) interfaces added, but optimizations specific to password |
4 | * cracking removed. |
5 | * |
6 | * Written by Solar Designer <solar at openwall.com> in 1998-2002 and |
7 | * placed in the public domain. Quick self-test added in 2011 and also |
8 | * placed in the public domain. |
9 | * |
10 | * There's absolutely no warranty. |
11 | * |
12 | * It is my intent that you should be able to use this on your system, |
13 | * as a part of a software package, or anywhere else to improve security, |
14 | * ensure compatibility, or for any other purpose. I would appreciate |
15 | * it if you give credit where it is due and keep your modifications in |
16 | * the public domain as well, but I don't require that in order to let |
17 | * you place this code and any modifications you make under a license |
18 | * of your choice. |
19 | * |
20 | * This implementation is compatible with OpenBSD bcrypt.c (version 2a) |
21 | * by Niels Provos <provos at citi.umich.edu>, and uses some of his |
22 | * ideas. The password hashing algorithm was designed by David Mazieres |
23 | * <dm at lcs.mit.edu>. |
24 | * |
25 | * There's a paper on the algorithm that explains its design decisions: |
26 | * |
27 | * http://www.usenix.org/events/usenix99/provos.html |
28 | * |
29 | * Some of the tricks in BF_ROUND might be inspired by Eric Young's |
30 | * Blowfish library (I can't be sure if I would think of something if I |
31 | * hadn't seen his code). |
32 | */ |
33 | |
34 | |
35 | |
36 | |
37 | |
38 | |
39 | |
40 | |
41 | |
42 | |
43 | |
44 | |
45 | |
46 | |
47 | |
48 | /* |
49 | * Please keep this enabled. We really don't want incompatible hashes to be |
50 | * produced. The performance cost of this quick self-test is around 0.6% at |
51 | * the "$2a$08" setting. |
52 | */ |
53 | |
54 | |
55 | |
56 | |
57 | |
58 | |
59 | |
60 | |
61 | |
62 | |
63 | |
64 | |
65 | |
66 | typedef unsigned int BF_word; |
67 | typedef signed int BF_word_signed; |
68 | |
69 | /* Number of Blowfish rounds, this is also hardcoded into a few places */ |
70 | |
71 | |
72 | typedef BF_word BF_key[BF_N + 2]; |
73 | |
74 | typedef struct { |
75 | BF_word S[4][0x100]; |
76 | BF_key P; |
77 | } BF_ctx; |
78 | |
79 | /* |
80 | * Magic IV for 64 Blowfish encryptions that we do at the end. |
81 | * The string is "OrpheanBeholderScryDoubt" on big-endian. |
82 | */ |
83 | static BF_word BF_magic_w[6] = { |
84 | 0x4F727068, 0x65616E42, 0x65686F6C, |
85 | 0x64657253, 0x63727944, 0x6F756274 |
86 | }; |
87 | |
88 | /* |
89 | * P-box and S-box tables initialized with digits of Pi. |
90 | */ |
91 | static BF_ctx BF_init_state = { |
92 | { |
93 | { |
94 | 0xd1310ba6, 0x98dfb5ac, 0x2ffd72db, 0xd01adfb7, |
95 | 0xb8e1afed, 0x6a267e96, 0xba7c9045, 0xf12c7f99, |
96 | 0x24a19947, 0xb3916cf7, 0x0801f2e2, 0x858efc16, |
97 | 0x636920d8, 0x71574e69, 0xa458fea3, 0xf4933d7e, |
98 | 0x0d95748f, 0x728eb658, 0x718bcd58, 0x82154aee, |
99 | 0x7b54a41d, 0xc25a59b5, 0x9c30d539, 0x2af26013, |
100 | 0xc5d1b023, 0x286085f0, 0xca417918, 0xb8db38ef, |
101 | 0x8e79dcb0, 0x603a180e, 0x6c9e0e8b, 0xb01e8a3e, |
102 | 0xd71577c1, 0xbd314b27, 0x78af2fda, 0x55605c60, |
103 | 0xe65525f3, 0xaa55ab94, 0x57489862, 0x63e81440, |
104 | 0x55ca396a, 0x2aab10b6, 0xb4cc5c34, 0x1141e8ce, |
105 | 0xa15486af, 0x7c72e993, 0xb3ee1411, 0x636fbc2a, |
106 | 0x2ba9c55d, 0x741831f6, 0xce5c3e16, 0x9b87931e, |
107 | 0xafd6ba33, 0x6c24cf5c, 0x7a325381, 0x28958677, |
108 | 0x3b8f4898, 0x6b4bb9af, 0xc4bfe81b, 0x66282193, |
109 | 0x61d809cc, 0xfb21a991, 0x487cac60, 0x5dec8032, |
110 | 0xef845d5d, 0xe98575b1, 0xdc262302, 0xeb651b88, |
111 | 0x23893e81, 0xd396acc5, 0x0f6d6ff3, 0x83f44239, |
112 | 0x2e0b4482, 0xa4842004, 0x69c8f04a, 0x9e1f9b5e, |
113 | 0x21c66842, 0xf6e96c9a, 0x670c9c61, 0xabd388f0, |
114 | 0x6a51a0d2, 0xd8542f68, 0x960fa728, 0xab5133a3, |
115 | 0x6eef0b6c, 0x137a3be4, 0xba3bf050, 0x7efb2a98, |
116 | 0xa1f1651d, 0x39af0176, 0x66ca593e, 0x82430e88, |
117 | 0x8cee8619, 0x456f9fb4, 0x7d84a5c3, 0x3b8b5ebe, |
118 | 0xe06f75d8, 0x85c12073, 0x401a449f, 0x56c16aa6, |
119 | 0x4ed3aa62, 0x363f7706, 0x1bfedf72, 0x429b023d, |
120 | 0x37d0d724, 0xd00a1248, 0xdb0fead3, 0x49f1c09b, |
121 | 0x075372c9, 0x80991b7b, 0x25d479d8, 0xf6e8def7, |
122 | 0xe3fe501a, 0xb6794c3b, 0x976ce0bd, 0x04c006ba, |
123 | 0xc1a94fb6, 0x409f60c4, 0x5e5c9ec2, 0x196a2463, |
124 | 0x68fb6faf, 0x3e6c53b5, 0x1339b2eb, 0x3b52ec6f, |
125 | 0x6dfc511f, 0x9b30952c, 0xcc814544, 0xaf5ebd09, |
126 | 0xbee3d004, 0xde334afd, 0x660f2807, 0x192e4bb3, |
127 | 0xc0cba857, 0x45c8740f, 0xd20b5f39, 0xb9d3fbdb, |
128 | 0x5579c0bd, 0x1a60320a, 0xd6a100c6, 0x402c7279, |
129 | 0x679f25fe, 0xfb1fa3cc, 0x8ea5e9f8, 0xdb3222f8, |
130 | 0x3c7516df, 0xfd616b15, 0x2f501ec8, 0xad0552ab, |
131 | 0x323db5fa, 0xfd238760, 0x53317b48, 0x3e00df82, |
132 | 0x9e5c57bb, 0xca6f8ca0, 0x1a87562e, 0xdf1769db, |
133 | 0xd542a8f6, 0x287effc3, 0xac6732c6, 0x8c4f5573, |
134 | 0x695b27b0, 0xbbca58c8, 0xe1ffa35d, 0xb8f011a0, |
135 | 0x10fa3d98, 0xfd2183b8, 0x4afcb56c, 0x2dd1d35b, |
136 | 0x9a53e479, 0xb6f84565, 0xd28e49bc, 0x4bfb9790, |
137 | 0xe1ddf2da, 0xa4cb7e33, 0x62fb1341, 0xcee4c6e8, |
138 | 0xef20cada, 0x36774c01, 0xd07e9efe, 0x2bf11fb4, |
139 | 0x95dbda4d, 0xae909198, 0xeaad8e71, 0x6b93d5a0, |
140 | 0xd08ed1d0, 0xafc725e0, 0x8e3c5b2f, 0x8e7594b7, |
141 | 0x8ff6e2fb, 0xf2122b64, 0x8888b812, 0x900df01c, |
142 | 0x4fad5ea0, 0x688fc31c, 0xd1cff191, 0xb3a8c1ad, |
143 | 0x2f2f2218, 0xbe0e1777, 0xea752dfe, 0x8b021fa1, |
144 | 0xe5a0cc0f, 0xb56f74e8, 0x18acf3d6, 0xce89e299, |
145 | 0xb4a84fe0, 0xfd13e0b7, 0x7cc43b81, 0xd2ada8d9, |
146 | 0x165fa266, 0x80957705, 0x93cc7314, 0x211a1477, |
147 | 0xe6ad2065, 0x77b5fa86, 0xc75442f5, 0xfb9d35cf, |
148 | 0xebcdaf0c, 0x7b3e89a0, 0xd6411bd3, 0xae1e7e49, |
149 | 0x00250e2d, 0x2071b35e, 0x226800bb, 0x57b8e0af, |
150 | 0x2464369b, 0xf009b91e, 0x5563911d, 0x59dfa6aa, |
151 | 0x78c14389, 0xd95a537f, 0x207d5ba2, 0x02e5b9c5, |
152 | 0x83260376, 0x6295cfa9, 0x11c81968, 0x4e734a41, |
153 | 0xb3472dca, 0x7b14a94a, 0x1b510052, 0x9a532915, |
154 | 0xd60f573f, 0xbc9bc6e4, 0x2b60a476, 0x81e67400, |
155 | 0x08ba6fb5, 0x571be91f, 0xf296ec6b, 0x2a0dd915, |
156 | 0xb6636521, 0xe7b9f9b6, 0xff34052e, 0xc5855664, |
157 | 0x53b02d5d, 0xa99f8fa1, 0x08ba4799, 0x6e85076a |
158 | }, { |
159 | 0x4b7a70e9, 0xb5b32944, 0xdb75092e, 0xc4192623, |
160 | 0xad6ea6b0, 0x49a7df7d, 0x9cee60b8, 0x8fedb266, |
161 | 0xecaa8c71, 0x699a17ff, 0x5664526c, 0xc2b19ee1, |
162 | 0x193602a5, 0x75094c29, 0xa0591340, 0xe4183a3e, |
163 | 0x3f54989a, 0x5b429d65, 0x6b8fe4d6, 0x99f73fd6, |
164 | 0xa1d29c07, 0xefe830f5, 0x4d2d38e6, 0xf0255dc1, |
165 | 0x4cdd2086, 0x8470eb26, 0x6382e9c6, 0x021ecc5e, |
166 | 0x09686b3f, 0x3ebaefc9, 0x3c971814, 0x6b6a70a1, |
167 | 0x687f3584, 0x52a0e286, 0xb79c5305, 0xaa500737, |
168 | 0x3e07841c, 0x7fdeae5c, 0x8e7d44ec, 0x5716f2b8, |
169 | 0xb03ada37, 0xf0500c0d, 0xf01c1f04, 0x0200b3ff, |
170 | 0xae0cf51a, 0x3cb574b2, 0x25837a58, 0xdc0921bd, |
171 | 0xd19113f9, 0x7ca92ff6, 0x94324773, 0x22f54701, |
172 | 0x3ae5e581, 0x37c2dadc, 0xc8b57634, 0x9af3dda7, |
173 | 0xa9446146, 0x0fd0030e, 0xecc8c73e, 0xa4751e41, |
174 | 0xe238cd99, 0x3bea0e2f, 0x3280bba1, 0x183eb331, |
175 | 0x4e548b38, 0x4f6db908, 0x6f420d03, 0xf60a04bf, |
176 | 0x2cb81290, 0x24977c79, 0x5679b072, 0xbcaf89af, |
177 | 0xde9a771f, 0xd9930810, 0xb38bae12, 0xdccf3f2e, |
178 | 0x5512721f, 0x2e6b7124, 0x501adde6, 0x9f84cd87, |
179 | 0x7a584718, 0x7408da17, 0xbc9f9abc, 0xe94b7d8c, |
180 | 0xec7aec3a, 0xdb851dfa, 0x63094366, 0xc464c3d2, |
181 | 0xef1c1847, 0x3215d908, 0xdd433b37, 0x24c2ba16, |
182 | 0x12a14d43, 0x2a65c451, 0x50940002, 0x133ae4dd, |
183 | 0x71dff89e, 0x10314e55, 0x81ac77d6, 0x5f11199b, |
184 | 0x043556f1, 0xd7a3c76b, 0x3c11183b, 0x5924a509, |
185 | 0xf28fe6ed, 0x97f1fbfa, 0x9ebabf2c, 0x1e153c6e, |
186 | 0x86e34570, 0xeae96fb1, 0x860e5e0a, 0x5a3e2ab3, |
187 | 0x771fe71c, 0x4e3d06fa, 0x2965dcb9, 0x99e71d0f, |
188 | 0x803e89d6, 0x5266c825, 0x2e4cc978, 0x9c10b36a, |
189 | 0xc6150eba, 0x94e2ea78, 0xa5fc3c53, 0x1e0a2df4, |
190 | 0xf2f74ea7, 0x361d2b3d, 0x1939260f, 0x19c27960, |
191 | 0x5223a708, 0xf71312b6, 0xebadfe6e, 0xeac31f66, |
192 | 0xe3bc4595, 0xa67bc883, 0xb17f37d1, 0x018cff28, |
193 | 0xc332ddef, 0xbe6c5aa5, 0x65582185, 0x68ab9802, |
194 | 0xeecea50f, 0xdb2f953b, 0x2aef7dad, 0x5b6e2f84, |
195 | 0x1521b628, 0x29076170, 0xecdd4775, 0x619f1510, |
196 | 0x13cca830, 0xeb61bd96, 0x0334fe1e, 0xaa0363cf, |
197 | 0xb5735c90, 0x4c70a239, 0xd59e9e0b, 0xcbaade14, |
198 | 0xeecc86bc, 0x60622ca7, 0x9cab5cab, 0xb2f3846e, |
199 | 0x648b1eaf, 0x19bdf0ca, 0xa02369b9, 0x655abb50, |
200 | 0x40685a32, 0x3c2ab4b3, 0x319ee9d5, 0xc021b8f7, |
201 | 0x9b540b19, 0x875fa099, 0x95f7997e, 0x623d7da8, |
202 | 0xf837889a, 0x97e32d77, 0x11ed935f, 0x16681281, |
203 | 0x0e358829, 0xc7e61fd6, 0x96dedfa1, 0x7858ba99, |
204 | 0x57f584a5, 0x1b227263, 0x9b83c3ff, 0x1ac24696, |
205 | 0xcdb30aeb, 0x532e3054, 0x8fd948e4, 0x6dbc3128, |
206 | 0x58ebf2ef, 0x34c6ffea, 0xfe28ed61, 0xee7c3c73, |
207 | 0x5d4a14d9, 0xe864b7e3, 0x42105d14, 0x203e13e0, |
208 | 0x45eee2b6, 0xa3aaabea, 0xdb6c4f15, 0xfacb4fd0, |
209 | 0xc742f442, 0xef6abbb5, 0x654f3b1d, 0x41cd2105, |
210 | 0xd81e799e, 0x86854dc7, 0xe44b476a, 0x3d816250, |
211 | 0xcf62a1f2, 0x5b8d2646, 0xfc8883a0, 0xc1c7b6a3, |
212 | 0x7f1524c3, 0x69cb7492, 0x47848a0b, 0x5692b285, |
213 | 0x095bbf00, 0xad19489d, 0x1462b174, 0x23820e00, |
214 | 0x58428d2a, 0x0c55f5ea, 0x1dadf43e, 0x233f7061, |
215 | 0x3372f092, 0x8d937e41, 0xd65fecf1, 0x6c223bdb, |
216 | 0x7cde3759, 0xcbee7460, 0x4085f2a7, 0xce77326e, |
217 | 0xa6078084, 0x19f8509e, 0xe8efd855, 0x61d99735, |
218 | 0xa969a7aa, 0xc50c06c2, 0x5a04abfc, 0x800bcadc, |
219 | 0x9e447a2e, 0xc3453484, 0xfdd56705, 0x0e1e9ec9, |
220 | 0xdb73dbd3, 0x105588cd, 0x675fda79, 0xe3674340, |
221 | 0xc5c43465, 0x713e38d8, 0x3d28f89e, 0xf16dff20, |
222 | 0x153e21e7, 0x8fb03d4a, 0xe6e39f2b, 0xdb83adf7 |
223 | }, { |
224 | 0xe93d5a68, 0x948140f7, 0xf64c261c, 0x94692934, |
225 | 0x411520f7, 0x7602d4f7, 0xbcf46b2e, 0xd4a20068, |
226 | 0xd4082471, 0x3320f46a, 0x43b7d4b7, 0x500061af, |
227 | 0x1e39f62e, 0x97244546, 0x14214f74, 0xbf8b8840, |
228 | 0x4d95fc1d, 0x96b591af, 0x70f4ddd3, 0x66a02f45, |
229 | 0xbfbc09ec, 0x03bd9785, 0x7fac6dd0, 0x31cb8504, |
230 | 0x96eb27b3, 0x55fd3941, 0xda2547e6, 0xabca0a9a, |
231 | 0x28507825, 0x530429f4, 0x0a2c86da, 0xe9b66dfb, |
232 | 0x68dc1462, 0xd7486900, 0x680ec0a4, 0x27a18dee, |
233 | 0x4f3ffea2, 0xe887ad8c, 0xb58ce006, 0x7af4d6b6, |
234 | 0xaace1e7c, 0xd3375fec, 0xce78a399, 0x406b2a42, |
235 | 0x20fe9e35, 0xd9f385b9, 0xee39d7ab, 0x3b124e8b, |
236 | 0x1dc9faf7, 0x4b6d1856, 0x26a36631, 0xeae397b2, |
237 | 0x3a6efa74, 0xdd5b4332, 0x6841e7f7, 0xca7820fb, |
238 | 0xfb0af54e, 0xd8feb397, 0x454056ac, 0xba489527, |
239 | 0x55533a3a, 0x20838d87, 0xfe6ba9b7, 0xd096954b, |
240 | 0x55a867bc, 0xa1159a58, 0xcca92963, 0x99e1db33, |
241 | 0xa62a4a56, 0x3f3125f9, 0x5ef47e1c, 0x9029317c, |
242 | 0xfdf8e802, 0x04272f70, 0x80bb155c, 0x05282ce3, |
243 | 0x95c11548, 0xe4c66d22, 0x48c1133f, 0xc70f86dc, |
244 | 0x07f9c9ee, 0x41041f0f, 0x404779a4, 0x5d886e17, |
245 | 0x325f51eb, 0xd59bc0d1, 0xf2bcc18f, 0x41113564, |
246 | 0x257b7834, 0x602a9c60, 0xdff8e8a3, 0x1f636c1b, |
247 | 0x0e12b4c2, 0x02e1329e, 0xaf664fd1, 0xcad18115, |
248 | 0x6b2395e0, 0x333e92e1, 0x3b240b62, 0xeebeb922, |
249 | 0x85b2a20e, 0xe6ba0d99, 0xde720c8c, 0x2da2f728, |
250 | 0xd0127845, 0x95b794fd, 0x647d0862, 0xe7ccf5f0, |
251 | 0x5449a36f, 0x877d48fa, 0xc39dfd27, 0xf33e8d1e, |
252 | 0x0a476341, 0x992eff74, 0x3a6f6eab, 0xf4f8fd37, |
253 | 0xa812dc60, 0xa1ebddf8, 0x991be14c, 0xdb6e6b0d, |
254 | 0xc67b5510, 0x6d672c37, 0x2765d43b, 0xdcd0e804, |
255 | 0xf1290dc7, 0xcc00ffa3, 0xb5390f92, 0x690fed0b, |
256 | 0x667b9ffb, 0xcedb7d9c, 0xa091cf0b, 0xd9155ea3, |
257 | 0xbb132f88, 0x515bad24, 0x7b9479bf, 0x763bd6eb, |
258 | 0x37392eb3, 0xcc115979, 0x8026e297, 0xf42e312d, |
259 | 0x6842ada7, 0xc66a2b3b, 0x12754ccc, 0x782ef11c, |
260 | 0x6a124237, 0xb79251e7, 0x06a1bbe6, 0x4bfb6350, |
261 | 0x1a6b1018, 0x11caedfa, 0x3d25bdd8, 0xe2e1c3c9, |
262 | 0x44421659, 0x0a121386, 0xd90cec6e, 0xd5abea2a, |
263 | 0x64af674e, 0xda86a85f, 0xbebfe988, 0x64e4c3fe, |
264 | 0x9dbc8057, 0xf0f7c086, 0x60787bf8, 0x6003604d, |
265 | 0xd1fd8346, 0xf6381fb0, 0x7745ae04, 0xd736fccc, |
266 | 0x83426b33, 0xf01eab71, 0xb0804187, 0x3c005e5f, |
267 | 0x77a057be, 0xbde8ae24, 0x55464299, 0xbf582e61, |
268 | 0x4e58f48f, 0xf2ddfda2, 0xf474ef38, 0x8789bdc2, |
269 | 0x5366f9c3, 0xc8b38e74, 0xb475f255, 0x46fcd9b9, |
270 | 0x7aeb2661, 0x8b1ddf84, 0x846a0e79, 0x915f95e2, |
271 | 0x466e598e, 0x20b45770, 0x8cd55591, 0xc902de4c, |
272 | 0xb90bace1, 0xbb8205d0, 0x11a86248, 0x7574a99e, |
273 | 0xb77f19b6, 0xe0a9dc09, 0x662d09a1, 0xc4324633, |
274 | 0xe85a1f02, 0x09f0be8c, 0x4a99a025, 0x1d6efe10, |
275 | 0x1ab93d1d, 0x0ba5a4df, 0xa186f20f, 0x2868f169, |
276 | 0xdcb7da83, 0x573906fe, 0xa1e2ce9b, 0x4fcd7f52, |
277 | 0x50115e01, 0xa70683fa, 0xa002b5c4, 0x0de6d027, |
278 | 0x9af88c27, 0x773f8641, 0xc3604c06, 0x61a806b5, |
279 | 0xf0177a28, 0xc0f586e0, 0x006058aa, 0x30dc7d62, |
280 | 0x11e69ed7, 0x2338ea63, 0x53c2dd94, 0xc2c21634, |
281 | 0xbbcbee56, 0x90bcb6de, 0xebfc7da1, 0xce591d76, |
282 | 0x6f05e409, 0x4b7c0188, 0x39720a3d, 0x7c927c24, |
283 | 0x86e3725f, 0x724d9db9, 0x1ac15bb4, 0xd39eb8fc, |
284 | 0xed545578, 0x08fca5b5, 0xd83d7cd3, 0x4dad0fc4, |
285 | 0x1e50ef5e, 0xb161e6f8, 0xa28514d9, 0x6c51133c, |
286 | 0x6fd5c7e7, 0x56e14ec4, 0x362abfce, 0xddc6c837, |
287 | 0xd79a3234, 0x92638212, 0x670efa8e, 0x406000e0 |
288 | }, { |
289 | 0x3a39ce37, 0xd3faf5cf, 0xabc27737, 0x5ac52d1b, |
290 | 0x5cb0679e, 0x4fa33742, 0xd3822740, 0x99bc9bbe, |
291 | 0xd5118e9d, 0xbf0f7315, 0xd62d1c7e, 0xc700c47b, |
292 | 0xb78c1b6b, 0x21a19045, 0xb26eb1be, 0x6a366eb4, |
293 | 0x5748ab2f, 0xbc946e79, 0xc6a376d2, 0x6549c2c8, |
294 | 0x530ff8ee, 0x468dde7d, 0xd5730a1d, 0x4cd04dc6, |
295 | 0x2939bbdb, 0xa9ba4650, 0xac9526e8, 0xbe5ee304, |
296 | 0xa1fad5f0, 0x6a2d519a, 0x63ef8ce2, 0x9a86ee22, |
297 | 0xc089c2b8, 0x43242ef6, 0xa51e03aa, 0x9cf2d0a4, |
298 | 0x83c061ba, 0x9be96a4d, 0x8fe51550, 0xba645bd6, |
299 | 0x2826a2f9, 0xa73a3ae1, 0x4ba99586, 0xef5562e9, |
300 | 0xc72fefd3, 0xf752f7da, 0x3f046f69, 0x77fa0a59, |
301 | 0x80e4a915, 0x87b08601, 0x9b09e6ad, 0x3b3ee593, |
302 | 0xe990fd5a, 0x9e34d797, 0x2cf0b7d9, 0x022b8b51, |
303 | 0x96d5ac3a, 0x017da67d, 0xd1cf3ed6, 0x7c7d2d28, |
304 | 0x1f9f25cf, 0xadf2b89b, 0x5ad6b472, 0x5a88f54c, |
305 | 0xe029ac71, 0xe019a5e6, 0x47b0acfd, 0xed93fa9b, |
306 | 0xe8d3c48d, 0x283b57cc, 0xf8d56629, 0x79132e28, |
307 | 0x785f0191, 0xed756055, 0xf7960e44, 0xe3d35e8c, |
308 | 0x15056dd4, 0x88f46dba, 0x03a16125, 0x0564f0bd, |
309 | 0xc3eb9e15, 0x3c9057a2, 0x97271aec, 0xa93a072a, |
310 | 0x1b3f6d9b, 0x1e6321f5, 0xf59c66fb, 0x26dcf319, |
311 | 0x7533d928, 0xb155fdf5, 0x03563482, 0x8aba3cbb, |
312 | 0x28517711, 0xc20ad9f8, 0xabcc5167, 0xccad925f, |
313 | 0x4de81751, 0x3830dc8e, 0x379d5862, 0x9320f991, |
314 | 0xea7a90c2, 0xfb3e7bce, 0x5121ce64, 0x774fbe32, |
315 | 0xa8b6e37e, 0xc3293d46, 0x48de5369, 0x6413e680, |
316 | 0xa2ae0810, 0xdd6db224, 0x69852dfd, 0x09072166, |
317 | 0xb39a460a, 0x6445c0dd, 0x586cdecf, 0x1c20c8ae, |
318 | 0x5bbef7dd, 0x1b588d40, 0xccd2017f, 0x6bb4e3bb, |
319 | 0xdda26a7e, 0x3a59ff45, 0x3e350a44, 0xbcb4cdd5, |
320 | 0x72eacea8, 0xfa6484bb, 0x8d6612ae, 0xbf3c6f47, |
321 | 0xd29be463, 0x542f5d9e, 0xaec2771b, 0xf64e6370, |
322 | 0x740e0d8d, 0xe75b1357, 0xf8721671, 0xaf537d5d, |
323 | 0x4040cb08, 0x4eb4e2cc, 0x34d2466a, 0x0115af84, |
324 | 0xe1b00428, 0x95983a1d, 0x06b89fb4, 0xce6ea048, |
325 | 0x6f3f3b82, 0x3520ab82, 0x011a1d4b, 0x277227f8, |
326 | 0x611560b1, 0xe7933fdc, 0xbb3a792b, 0x344525bd, |
327 | 0xa08839e1, 0x51ce794b, 0x2f32c9b7, 0xa01fbac9, |
328 | 0xe01cc87e, 0xbcc7d1f6, 0xcf0111c3, 0xa1e8aac7, |
329 | 0x1a908749, 0xd44fbd9a, 0xd0dadecb, 0xd50ada38, |
330 | 0x0339c32a, 0xc6913667, 0x8df9317c, 0xe0b12b4f, |
331 | 0xf79e59b7, 0x43f5bb3a, 0xf2d519ff, 0x27d9459c, |
332 | 0xbf97222c, 0x15e6fc2a, 0x0f91fc71, 0x9b941525, |
333 | 0xfae59361, 0xceb69ceb, 0xc2a86459, 0x12baa8d1, |
334 | 0xb6c1075e, 0xe3056a0c, 0x10d25065, 0xcb03a442, |
335 | 0xe0ec6e0e, 0x1698db3b, 0x4c98a0be, 0x3278e964, |
336 | 0x9f1f9532, 0xe0d392df, 0xd3a0342b, 0x8971f21e, |
337 | 0x1b0a7441, 0x4ba3348c, 0xc5be7120, 0xc37632d8, |
338 | 0xdf359f8d, 0x9b992f2e, 0xe60b6f47, 0x0fe3f11d, |
339 | 0xe54cda54, 0x1edad891, 0xce6279cf, 0xcd3e7e6f, |
340 | 0x1618b166, 0xfd2c1d05, 0x848fd2c5, 0xf6fb2299, |
341 | 0xf523f357, 0xa6327623, 0x93a83531, 0x56cccd02, |
342 | 0xacf08162, 0x5a75ebb5, 0x6e163697, 0x88d273cc, |
343 | 0xde966292, 0x81b949d0, 0x4c50901b, 0x71c65614, |
344 | 0xe6c6c7bd, 0x327a140a, 0x45e1d006, 0xc3f27b9a, |
345 | 0xc9aa53fd, 0x62a80f00, 0xbb25bfe2, 0x35bdd2f6, |
346 | 0x71126905, 0xb2040222, 0xb6cbcf7c, 0xcd769c2b, |
347 | 0x53113ec0, 0x1640e3d3, 0x38abbd60, 0x2547adf0, |
348 | 0xba38209c, 0xf746ce76, 0x77afa1c5, 0x20756060, |
349 | 0x85cbfe4e, 0x8ae88dd8, 0x7aaaf9b0, 0x4cf9aa7e, |
350 | 0x1948c25c, 0x02fb8a8c, 0x01c36ae4, 0xd6ebe1f9, |
351 | 0x90d4f869, 0xa65cdea0, 0x3f09252d, 0xc208e69f, |
352 | 0xb74e6132, 0xce77e25b, 0x578fdfe3, 0x3ac372e6 |
353 | } |
354 | }, { |
355 | 0x243f6a88, 0x85a308d3, 0x13198a2e, 0x03707344, |
356 | 0xa4093822, 0x299f31d0, 0x082efa98, 0xec4e6c89, |
357 | 0x452821e6, 0x38d01377, 0xbe5466cf, 0x34e90c6c, |
358 | 0xc0ac29b7, 0xc97c50dd, 0x3f84d5b5, 0xb5470917, |
359 | 0x9216d5d9, 0x8979fb1b |
360 | } |
361 | }; |
362 | |
363 | static unsigned char BF_itoa64[64 + 1] = |
364 | "./ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"; |
365 | |
366 | static unsigned char BF_atoi64[0x60] = { |
367 | 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 0, 1, |
368 | 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 64, 64, 64, 64, 64, |
369 | 64, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, |
370 | 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 64, 64, 64, 64, 64, |
371 | 64, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, |
372 | 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 64, 64, 64, 64, 64 |
373 | }; |
374 | |
375 | /* |
376 | * This may be optimized out if built with function inlining and no BF_ASM. |
377 | */ |
378 | static void clean(void *data, int size) |
379 | { |
380 | |
381 | extern void _BF_clean(void *data); |
382 | |
383 | memset(data, 0, size); |
384 | |
385 | _BF_clean(data); |
386 | |
387 | } |
388 | |
389 | |
390 | { \ |
391 | tmp = (unsigned char)(src); \ |
392 | ((unsigned int)(tmp -= 0x20) >= 0x60) return -1; \ |
393 | tmp = BF_atoi64[tmp]; \ |
394 | (tmp > 63) return -1; \ |
395 | (dst) = tmp; \ |
396 | } |
397 | |
398 | static int BF_decode(BF_word *dst, __CONST char *src, int size) |
399 | { |
400 | unsigned char *dptr = (unsigned char *)dst; |
401 | unsigned char *end = dptr + size; |
402 | unsigned char *sptr = (unsigned char *)src; |
403 | unsigned int tmp, c1, c2, c3, c4; |
404 | |
405 | do { |
406 | BF_safe_atoi64(c1, *sptr++); |
407 | BF_safe_atoi64(c2, *sptr++); |
408 | *dptr++ = (c1 << 2) | ((c2 & 0x30) >> 4); |
409 | if (dptr >= end) break; |
410 | |
411 | BF_safe_atoi64(c3, *sptr++); |
412 | *dptr++ = ((c2 & 0x0F) << 4) | ((c3 & 0x3C) >> 2); |
413 | if (dptr >= end) break; |
414 | |
415 | BF_safe_atoi64(c4, *sptr++); |
416 | *dptr++ = ((c3 & 0x03) << 6) | c4; |
417 | } while (dptr < end); |
418 | |
419 | return 0; |
420 | } |
421 | |
422 | static void BF_encode(char *dst, __CONST BF_word *src, int size) |
423 | { |
424 | unsigned char *sptr = (unsigned char *)src; |
425 | unsigned char *end = sptr + size; |
426 | unsigned char *dptr = (unsigned char *)dst; |
427 | unsigned int c1, c2; |
428 | |
429 | do { |
430 | c1 = *sptr++; |
431 | *dptr++ = BF_itoa64[c1 >> 2]; |
432 | c1 = (c1 & 0x03) << 4; |
433 | if (sptr >= end) { |
434 | *dptr++ = BF_itoa64[c1]; |
435 | break; |
436 | } |
437 | |
438 | c2 = *sptr++; |
439 | c1 |= c2 >> 4; |
440 | *dptr++ = BF_itoa64[c1]; |
441 | c1 = (c2 & 0x0f) << 2; |
442 | if (sptr >= end) { |
443 | *dptr++ = BF_itoa64[c1]; |
444 | break; |
445 | } |
446 | |
447 | c2 = *sptr++; |
448 | c1 |= c2 >> 6; |
449 | *dptr++ = BF_itoa64[c1]; |
450 | *dptr++ = BF_itoa64[c2 & 0x3f]; |
451 | } while (sptr < end); |
452 | } |
453 | |
454 | static void BF_swap(BF_word *x, int count) |
455 | { |
456 | static int endianness_check = 1; |
457 | char *is_little_endian = (char *)&endianness_check; |
458 | BF_word tmp; |
459 | |
460 | if (*is_little_endian) |
461 | do { |
462 | tmp = *x; |
463 | tmp = (tmp << 16) | (tmp >> 16); |
464 | *x++ = ((tmp & 0x00FF00FF) << 8) | ((tmp >> 8) & 0x00FF00FF); |
465 | } while (--count); |
466 | } |
467 | |
468 | |
469 | /* Architectures which can shift addresses left by 2 bits with no extra cost */ |
470 | |
471 | tmp1 = L & 0xFF; \ |
472 | tmp2 = L >> 8; \ |
473 | tmp2 &= 0xFF; \ |
474 | tmp3 = L >> 16; \ |
475 | tmp3 &= 0xFF; \ |
476 | tmp4 = L >> 24; \ |
477 | tmp1 = data.ctx.S[3][tmp1]; \ |
478 | tmp2 = data.ctx.S[2][tmp2]; \ |
479 | tmp3 = data.ctx.S[1][tmp3]; \ |
480 | tmp3 += data.ctx.S[0][tmp4]; \ |
481 | tmp3 ^= tmp2; \ |
482 | R ^= data.ctx.P[N + 1]; \ |
483 | tmp3 += tmp1; \ |
484 | R ^= tmp3; |
485 | |
486 | /* Architectures with no complicated addressing modes supported */ |
487 | |
488 | (*((BF_word *)(((unsigned char *)S) + (i)))) |
489 | |
490 | tmp1 = L & 0xFF; \ |
491 | tmp1 <<= 2; \ |
492 | tmp2 = L >> 6; \ |
493 | tmp2 &= 0x3FC; \ |
494 | tmp3 = L >> 14; \ |
495 | tmp3 &= 0x3FC; \ |
496 | tmp4 = L >> 22; \ |
497 | tmp4 &= 0x3FC; \ |
498 | tmp1 = BF_INDEX(data.ctx.S[3], tmp1); \ |
499 | tmp2 = BF_INDEX(data.ctx.S[2], tmp2); \ |
500 | tmp3 = BF_INDEX(data.ctx.S[1], tmp3); \ |
501 | tmp3 += BF_INDEX(data.ctx.S[0], tmp4); \ |
502 | tmp3 ^= tmp2; \ |
503 | R ^= data.ctx.P[N + 1]; \ |
504 | tmp3 += tmp1; \ |
505 | R ^= tmp3; |
506 | |
507 | |
508 | /* |
509 | * Encrypt one block, BF_N is hardcoded here. |
510 | */ |
511 | |
512 | L ^= data.ctx.P[0]; \ |
513 | BF_ROUND(L, R, 0); \ |
514 | BF_ROUND(R, L, 1); \ |
515 | BF_ROUND(L, R, 2); \ |
516 | BF_ROUND(R, L, 3); \ |
517 | BF_ROUND(L, R, 4); \ |
518 | BF_ROUND(R, L, 5); \ |
519 | BF_ROUND(L, R, 6); \ |
520 | BF_ROUND(R, L, 7); \ |
521 | BF_ROUND(L, R, 8); \ |
522 | BF_ROUND(R, L, 9); \ |
523 | BF_ROUND(L, R, 10); \ |
524 | BF_ROUND(R, L, 11); \ |
525 | BF_ROUND(L, R, 12); \ |
526 | BF_ROUND(R, L, 13); \ |
527 | BF_ROUND(L, R, 14); \ |
528 | BF_ROUND(R, L, 15); \ |
529 | tmp4 = R; \ |
530 | R = L; \ |
531 | L = tmp4 ^ data.ctx.P[BF_N + 1]; |
532 | |
533 | |
534 | |
535 | _BF_body_r(&data.ctx); |
536 | |
537 | |
538 | L = R = 0; \ |
539 | ptr = data.ctx.P; \ |
540 | do { \ |
541 | ptr += 2; \ |
542 | BF_ENCRYPT; \ |
543 | *(ptr - 2) = L; \ |
544 | *(ptr - 1) = R; \ |
545 | } while (ptr < &data.ctx.P[BF_N + 2]); \ |
546 | \ |
547 | ptr = data.ctx.S[0]; \ |
548 | do { \ |
549 | ptr += 2; \ |
550 | BF_ENCRYPT; \ |
551 | *(ptr - 2) = L; \ |
552 | *(ptr - 1) = R; \ |
553 | } while (ptr < &data.ctx.S[3][0xFF]); |
554 | |
555 | |
556 | static void BF_set_key(__CONST char *key, BF_key expanded, BF_key initial, |
557 | int sign_extension_bug) |
558 | { |
559 | __CONST char *ptr = key; |
560 | int i, j; |
561 | BF_word tmp; |
562 | |
563 | for (i = 0; i < BF_N + 2; i++) { |
564 | tmp = 0; |
565 | for (j = 0; j < 4; j++) { |
566 | tmp <<= 8; |
567 | if (sign_extension_bug) |
568 | tmp |= (BF_word_signed)(signed char)*ptr; |
569 | else |
570 | tmp |= (unsigned char)*ptr; |
571 | |
572 | if (!*ptr) ptr = key; else ptr++; |
573 | } |
574 | |
575 | expanded[i] = tmp; |
576 | initial[i] = BF_init_state.P[i] ^ tmp; |
577 | } |
578 | } |
579 | |
580 | static char *BF_crypt(__CONST char *key, __CONST char *setting, |
581 | char *output, int size, |
582 | BF_word min) |
583 | { |
584 | |
585 | extern void _BF_body_r(BF_ctx *ctx); |
586 | |
587 | struct { |
588 | BF_ctx ctx; |
589 | BF_key expanded_key; |
590 | union { |
591 | BF_word salt[4]; |
592 | BF_word output[6]; |
593 | } binary; |
594 | } data; |
595 | BF_word L, R; |
596 | BF_word tmp1, tmp2, tmp3, tmp4; |
597 | BF_word *ptr; |
598 | BF_word count; |
599 | int i; |
600 | |
601 | if (size < 7 + 22 + 31 + 1) { |
602 | __set_errno(ERANGE); |
603 | return NULL; |
604 | } |
605 | |
606 | if (setting[0] != '$' || |
607 | setting[1] != '2' || |
608 | (setting[2] != 'a' && setting[2] != 'x') || |
609 | setting[3] != '$' || |
610 | setting[4] < '0' || setting[4] > '3' || |
611 | setting[5] < '0' || setting[5] > '9' || |
612 | (setting[4] == '3' && setting[5] > '1') || |
613 | setting[6] != '$') { |
614 | __set_errno(EINVAL); |
615 | return NULL; |
616 | } |
617 | |
618 | count = (BF_word)1 << ((setting[4] - '0') * 10 + (setting[5] - '0')); |
619 | if (count < min || BF_decode(data.binary.salt, &setting[7], 16)) { |
620 | clean(data.binary.salt, sizeof(data.binary.salt)); |
621 | __set_errno(EINVAL); |
622 | return NULL; |
623 | } |
624 | BF_swap(data.binary.salt, 4); |
625 | |
626 | BF_set_key(key, data.expanded_key, data.ctx.P, setting[2] == 'x'); |
627 | |
628 | memcpy(data.ctx.S, BF_init_state.S, sizeof(data.ctx.S)); |
629 | |
630 | L = R = 0; |
631 | for (i = 0; i < BF_N + 2; i += 2) { |
632 | L ^= data.binary.salt[i & 2]; |
633 | R ^= data.binary.salt[(i & 2) + 1]; |
634 | BF_ENCRYPT; |
635 | data.ctx.P[i] = L; |
636 | data.ctx.P[i + 1] = R; |
637 | } |
638 | |
639 | ptr = data.ctx.S[0]; |
640 | do { |
641 | ptr += 4; |
642 | L ^= data.binary.salt[(BF_N + 2) & 3]; |
643 | R ^= data.binary.salt[(BF_N + 3) & 3]; |
644 | BF_ENCRYPT; |
645 | *(ptr - 4) = L; |
646 | *(ptr - 3) = R; |
647 | |
648 | L ^= data.binary.salt[(BF_N + 4) & 3]; |
649 | R ^= data.binary.salt[(BF_N + 5) & 3]; |
650 | BF_ENCRYPT; |
651 | *(ptr - 2) = L; |
652 | *(ptr - 1) = R; |
653 | } while (ptr < &data.ctx.S[3][0xFF]); |
654 | |
655 | do { |
656 | data.ctx.P[0] ^= data.expanded_key[0]; |
657 | data.ctx.P[1] ^= data.expanded_key[1]; |
658 | data.ctx.P[2] ^= data.expanded_key[2]; |
659 | data.ctx.P[3] ^= data.expanded_key[3]; |
660 | data.ctx.P[4] ^= data.expanded_key[4]; |
661 | data.ctx.P[5] ^= data.expanded_key[5]; |
662 | data.ctx.P[6] ^= data.expanded_key[6]; |
663 | data.ctx.P[7] ^= data.expanded_key[7]; |
664 | data.ctx.P[8] ^= data.expanded_key[8]; |
665 | data.ctx.P[9] ^= data.expanded_key[9]; |
666 | data.ctx.P[10] ^= data.expanded_key[10]; |
667 | data.ctx.P[11] ^= data.expanded_key[11]; |
668 | data.ctx.P[12] ^= data.expanded_key[12]; |
669 | data.ctx.P[13] ^= data.expanded_key[13]; |
670 | data.ctx.P[14] ^= data.expanded_key[14]; |
671 | data.ctx.P[15] ^= data.expanded_key[15]; |
672 | data.ctx.P[16] ^= data.expanded_key[16]; |
673 | data.ctx.P[17] ^= data.expanded_key[17]; |
674 | |
675 | BF_body(); |
676 | |
677 | tmp1 = data.binary.salt[0]; |
678 | tmp2 = data.binary.salt[1]; |
679 | tmp3 = data.binary.salt[2]; |
680 | tmp4 = data.binary.salt[3]; |
681 | data.ctx.P[0] ^= tmp1; |
682 | data.ctx.P[1] ^= tmp2; |
683 | data.ctx.P[2] ^= tmp3; |
684 | data.ctx.P[3] ^= tmp4; |
685 | data.ctx.P[4] ^= tmp1; |
686 | data.ctx.P[5] ^= tmp2; |
687 | data.ctx.P[6] ^= tmp3; |
688 | data.ctx.P[7] ^= tmp4; |
689 | data.ctx.P[8] ^= tmp1; |
690 | data.ctx.P[9] ^= tmp2; |
691 | data.ctx.P[10] ^= tmp3; |
692 | data.ctx.P[11] ^= tmp4; |
693 | data.ctx.P[12] ^= tmp1; |
694 | data.ctx.P[13] ^= tmp2; |
695 | data.ctx.P[14] ^= tmp3; |
696 | data.ctx.P[15] ^= tmp4; |
697 | data.ctx.P[16] ^= tmp1; |
698 | data.ctx.P[17] ^= tmp2; |
699 | |
700 | BF_body(); |
701 | } while (--count); |
702 | |
703 | for (i = 0; i < 6; i += 2) { |
704 | L = BF_magic_w[i]; |
705 | R = BF_magic_w[i + 1]; |
706 | |
707 | count = 64; |
708 | do { |
709 | BF_ENCRYPT; |
710 | } while (--count); |
711 | |
712 | data.binary.output[i] = L; |
713 | data.binary.output[i + 1] = R; |
714 | } |
715 | |
716 | memcpy(output, setting, 7 + 22 - 1); |
717 | output[7 + 22 - 1] = BF_itoa64[(int) |
718 | BF_atoi64[(int)setting[7 + 22 - 1] - 0x20] & 0x30]; |
719 | |
720 | /* This has to be bug-compatible with the original implementation, so |
721 | * only encode 23 of the 24 bytes. :-) */ |
722 | BF_swap(data.binary.output, 6); |
723 | BF_encode(&output[7 + 22], data.binary.output, 23); |
724 | output[7 + 22 + 31] = '\0'; |
725 | |
726 | |
727 | /* Overwrite the most obvious sensitive data we have on the stack. Note |
728 | * that this does not guarantee there's no sensitive data left on the |
729 | * stack and/or in registers; I'm not aware of portable code that does. */ |
730 | clean(&data, sizeof(data)); |
731 | |
732 | |
733 | return output; |
734 | } |
735 | |
736 | char *_crypt_blowfish_rn(__CONST char *key, __CONST char *setting, |
737 | char *output, int size) |
738 | { |
739 | |
740 | __CONST char *test_key = "8b \xd0\xc1\xd2\xcf\xcc\xd8"; |
741 | __CONST char *test_2a = |
742 | "$2a$00$abcdefghijklmnopqrstuui1D709vfamulimlGcq0qq3UvuUasvEa" |
743 | "\0" |
744 | "canary"; |
745 | __CONST char *test_2x = |
746 | "$2x$00$abcdefghijklmnopqrstuuVUrPmXD6q/nVSSp7pNDhCR9071IfIRe" |
747 | "\0" |
748 | "canary"; |
749 | __CONST char *test_hash, *p; |
750 | int ok; |
751 | char buf[7 + 22 + 31 + 1 + 6 + 1]; |
752 | |
753 | output = BF_crypt(key, setting, output, size, 16); |
754 | |
755 | /* Do a quick self-test. This also happens to overwrite BF_crypt()'s data. */ |
756 | test_hash = (setting[2] == 'x') ? test_2x : test_2a; |
757 | memcpy(buf, test_hash, sizeof(buf)); |
758 | memset(buf, -1, sizeof(buf) - (6 + 1)); /* keep "canary" only */ |
759 | p = BF_crypt(test_key, test_hash, buf, sizeof(buf) - 6, 1); |
760 | |
761 | ok = (p == buf && !memcmp(p, test_hash, sizeof(buf))); |
762 | |
763 | /* This could reveal what hash type we were using last. Unfortunately, we |
764 | * can't reliably clean the test_hash pointer. */ |
765 | clean(&buf, sizeof(buf)); |
766 | |
767 | if (ok) |
768 | return output; |
769 | |
770 | /* Should not happen */ |
771 | __set_errno(EINVAL); /* pretend we don't support this hash type */ |
772 | return NULL; |
773 | |
774 | |
775 | return BF_crypt(key, setting, output, size, 16); |
776 | |
777 | } |
778 | |
779 | char *_crypt_gensalt_blowfish_rn(unsigned long count, |
780 | __CONST char *input, int size, char *output, int output_size) |
781 | { |
782 | if (size < 16 || output_size < 7 + 22 + 1 || |
783 | (count && (count < 4 || count > 31))) { |
784 | if (output_size > 0) output[0] = '\0'; |
785 | __set_errno((output_size < 7 + 22 + 1) ? ERANGE : EINVAL); |
786 | return NULL; |
787 | } |
788 | |
789 | if (!count) count = 5; |
790 | |
791 | output[0] = '$'; |
792 | output[1] = '2'; |
793 | output[2] = 'a'; |
794 | output[3] = '$'; |
795 | output[4] = '0' + count / 10; |
796 | output[5] = '0' + count % 10; |
797 | output[6] = '$'; |
798 | |
799 | BF_encode(&output[7], (BF_word *)input, 16); |
800 | output[7 + 22] = '\0'; |
801 | |
802 | return output; |
803 | } |
804 |
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