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3aa8dc6c LQ |
1 | /** @file\r |
2 | Core Primitive Implementation of the Advanced Encryption Standard (AES) algorithm.\r | |
b3548d32 LG |
3 | Refer to FIPS PUB 197 ("Advanced Encryption Standard (AES)") for detailed algorithm\r |
4 | description of AES.\r | |
3aa8dc6c | 5 | \r |
b3548d32 | 6 | Copyright (c) 2013 - 2018, Intel Corporation. All rights reserved.<BR>\r |
289b714b | 7 | SPDX-License-Identifier: BSD-2-Clause-Patent\r |
3aa8dc6c LQ |
8 | \r |
9 | **/\r | |
10 | \r | |
11 | #include "AesCore.h"\r | |
12 | \r | |
13 | //\r | |
14 | // Number of columns (32-bit words) comprising the State.\r | |
15 | // AES_NB is a constant (value = 4) for NIST FIPS-197.\r | |
16 | //\r | |
17 | #define AES_NB 4\r | |
18 | \r | |
19 | //\r | |
b6023fb1 LQ |
20 | // Pre-computed AES Forward Table: AesForwardTable[t] = AES_SBOX[t].[02, 01, 01, 03]\r |
21 | // AES_SBOX (AES S-box) is defined in sec 5.1.1 of FIPS PUB 197.\r | |
3aa8dc6c LQ |
22 | // This is to speed up execution of the cipher by combining SubBytes and\r |
23 | // ShiftRows with MixColumns steps and transforming them into table lookups.\r | |
24 | //\r | |
b6023fb1 | 25 | GLOBAL_REMOVE_IF_UNREFERENCED CONST UINT32 AesForwardTable[] = {\r |
b3548d32 | 26 | 0xc66363a5, 0xf87c7c84, 0xee777799, 0xf67b7b8d, 0xfff2f20d, 0xd66b6bbd,\r |
3aa8dc6c | 27 | 0xde6f6fb1, 0x91c5c554, 0x60303050, 0x02010103, 0xce6767a9, 0x562b2b7d,\r |
b3548d32 | 28 | 0xe7fefe19, 0xb5d7d762, 0x4dababe6, 0xec76769a, 0x8fcaca45, 0x1f82829d,\r |
3aa8dc6c | 29 | 0x89c9c940, 0xfa7d7d87, 0xeffafa15, 0xb25959eb, 0x8e4747c9, 0xfbf0f00b,\r |
b3548d32 | 30 | 0x41adadec, 0xb3d4d467, 0x5fa2a2fd, 0x45afafea, 0x239c9cbf, 0x53a4a4f7,\r |
3aa8dc6c | 31 | 0xe4727296, 0x9bc0c05b, 0x75b7b7c2, 0xe1fdfd1c, 0x3d9393ae, 0x4c26266a,\r |
b3548d32 | 32 | 0x6c36365a, 0x7e3f3f41, 0xf5f7f702, 0x83cccc4f, 0x6834345c, 0x51a5a5f4,\r |
3aa8dc6c | 33 | 0xd1e5e534, 0xf9f1f108, 0xe2717193, 0xabd8d873, 0x62313153, 0x2a15153f,\r |
b3548d32 | 34 | 0x0804040c, 0x95c7c752, 0x46232365, 0x9dc3c35e, 0x30181828, 0x379696a1,\r |
3aa8dc6c | 35 | 0x0a05050f, 0x2f9a9ab5, 0x0e070709, 0x24121236, 0x1b80809b, 0xdfe2e23d,\r |
b3548d32 | 36 | 0xcdebeb26, 0x4e272769, 0x7fb2b2cd, 0xea75759f, 0x1209091b, 0x1d83839e,\r |
3aa8dc6c | 37 | 0x582c2c74, 0x341a1a2e, 0x361b1b2d, 0xdc6e6eb2, 0xb45a5aee, 0x5ba0a0fb,\r |
b3548d32 | 38 | 0xa45252f6, 0x763b3b4d, 0xb7d6d661, 0x7db3b3ce, 0x5229297b, 0xdde3e33e,\r |
3aa8dc6c | 39 | 0x5e2f2f71, 0x13848497, 0xa65353f5, 0xb9d1d168, 0x00000000, 0xc1eded2c,\r |
b3548d32 | 40 | 0x40202060, 0xe3fcfc1f, 0x79b1b1c8, 0xb65b5bed, 0xd46a6abe, 0x8dcbcb46,\r |
3aa8dc6c | 41 | 0x67bebed9, 0x7239394b, 0x944a4ade, 0x984c4cd4, 0xb05858e8, 0x85cfcf4a,\r |
b3548d32 | 42 | 0xbbd0d06b, 0xc5efef2a, 0x4faaaae5, 0xedfbfb16, 0x864343c5, 0x9a4d4dd7,\r |
3aa8dc6c | 43 | 0x66333355, 0x11858594, 0x8a4545cf, 0xe9f9f910, 0x04020206, 0xfe7f7f81,\r |
b3548d32 | 44 | 0xa05050f0, 0x783c3c44, 0x259f9fba, 0x4ba8a8e3, 0xa25151f3, 0x5da3a3fe,\r |
3aa8dc6c | 45 | 0x804040c0, 0x058f8f8a, 0x3f9292ad, 0x219d9dbc, 0x70383848, 0xf1f5f504,\r |
b3548d32 | 46 | 0x63bcbcdf, 0x77b6b6c1, 0xafdada75, 0x42212163, 0x20101030, 0xe5ffff1a,\r |
3aa8dc6c | 47 | 0xfdf3f30e, 0xbfd2d26d, 0x81cdcd4c, 0x180c0c14, 0x26131335, 0xc3ecec2f,\r |
b3548d32 | 48 | 0xbe5f5fe1, 0x359797a2, 0x884444cc, 0x2e171739, 0x93c4c457, 0x55a7a7f2,\r |
3aa8dc6c | 49 | 0xfc7e7e82, 0x7a3d3d47, 0xc86464ac, 0xba5d5de7, 0x3219192b, 0xe6737395,\r |
b3548d32 | 50 | 0xc06060a0, 0x19818198, 0x9e4f4fd1, 0xa3dcdc7f, 0x44222266, 0x542a2a7e,\r |
3aa8dc6c | 51 | 0x3b9090ab, 0x0b888883, 0x8c4646ca, 0xc7eeee29, 0x6bb8b8d3, 0x2814143c,\r |
b3548d32 | 52 | 0xa7dede79, 0xbc5e5ee2, 0x160b0b1d, 0xaddbdb76, 0xdbe0e03b, 0x64323256,\r |
3aa8dc6c | 53 | 0x743a3a4e, 0x140a0a1e, 0x924949db, 0x0c06060a, 0x4824246c, 0xb85c5ce4,\r |
b3548d32 | 54 | 0x9fc2c25d, 0xbdd3d36e, 0x43acacef, 0xc46262a6, 0x399191a8, 0x319595a4,\r |
3aa8dc6c | 55 | 0xd3e4e437, 0xf279798b, 0xd5e7e732, 0x8bc8c843, 0x6e373759, 0xda6d6db7,\r |
b3548d32 | 56 | 0x018d8d8c, 0xb1d5d564, 0x9c4e4ed2, 0x49a9a9e0, 0xd86c6cb4, 0xac5656fa,\r |
3aa8dc6c | 57 | 0xf3f4f407, 0xcfeaea25, 0xca6565af, 0xf47a7a8e, 0x47aeaee9, 0x10080818,\r |
b3548d32 | 58 | 0x6fbabad5, 0xf0787888, 0x4a25256f, 0x5c2e2e72, 0x381c1c24, 0x57a6a6f1,\r |
3aa8dc6c | 59 | 0x73b4b4c7, 0x97c6c651, 0xcbe8e823, 0xa1dddd7c, 0xe874749c, 0x3e1f1f21,\r |
b3548d32 | 60 | 0x964b4bdd, 0x61bdbddc, 0x0d8b8b86, 0x0f8a8a85, 0xe0707090, 0x7c3e3e42,\r |
3aa8dc6c | 61 | 0x71b5b5c4, 0xcc6666aa, 0x904848d8, 0x06030305, 0xf7f6f601, 0x1c0e0e12,\r |
b3548d32 | 62 | 0xc26161a3, 0x6a35355f, 0xae5757f9, 0x69b9b9d0, 0x17868691, 0x99c1c158,\r |
3aa8dc6c | 63 | 0x3a1d1d27, 0x279e9eb9, 0xd9e1e138, 0xebf8f813, 0x2b9898b3, 0x22111133,\r |
b3548d32 | 64 | 0xd26969bb, 0xa9d9d970, 0x078e8e89, 0x339494a7, 0x2d9b9bb6, 0x3c1e1e22,\r |
3aa8dc6c | 65 | 0x15878792, 0xc9e9e920, 0x87cece49, 0xaa5555ff, 0x50282878, 0xa5dfdf7a,\r |
b3548d32 | 66 | 0x038c8c8f, 0x59a1a1f8, 0x09898980, 0x1a0d0d17, 0x65bfbfda, 0xd7e6e631,\r |
3aa8dc6c LQ |
67 | 0x844242c6, 0xd06868b8, 0x824141c3, 0x299999b0, 0x5a2d2d77, 0x1e0f0f11,\r |
68 | 0x7bb0b0cb, 0xa85454fc, 0x6dbbbbd6, 0x2c16163a\r | |
69 | };\r | |
70 | \r | |
3aa8dc6c LQ |
71 | //\r |
72 | // Round constant word array used in AES key expansion.\r | |
73 | //\r | |
74 | GLOBAL_REMOVE_IF_UNREFERENCED CONST UINT32 Rcon[] = {\r | |
75 | 0x01000000, 0x02000000, 0x04000000, 0x08000000, 0x10000000,\r | |
76 | 0x20000000, 0x40000000, 0x80000000, 0x1B000000, 0x36000000\r | |
77 | };\r | |
78 | \r | |
79 | //\r | |
80 | // Rotates x right n bits (circular right shift operation)\r | |
81 | //\r | |
82 | #define ROTATE_RIGHT32(x, n) (((x) >> (n)) | ((x) << (32-(n))))\r | |
83 | \r | |
84 | //\r | |
85 | // Loading & Storing 32-bit words in big-endian format: y[3..0] --> x; x --> y[3..0];\r | |
86 | //\r | |
87 | #define LOAD32H(x, y) { x = ((UINT32)((y)[0] & 0xFF) << 24) | ((UINT32)((y)[1] & 0xFF) << 16) | \\r | |
88 | ((UINT32)((y)[2] & 0xFF) << 8) | ((UINT32)((y)[3] & 0xFF)); }\r | |
89 | #define STORE32H(x, y) { (y)[0] = (UINT8)(((x) >> 24) & 0xFF); (y)[1] = (UINT8)(((x) >> 16) & 0xFF); \\r | |
90 | (y)[2] = (UINT8)(((x) >> 8) & 0xFF); (y)[3] = (UINT8)((x) & 0xFF); }\r | |
91 | \r | |
92 | //\r | |
b6023fb1 | 93 | // Wrap macros for AES forward tables lookups\r |
3aa8dc6c | 94 | //\r |
b6023fb1 LQ |
95 | #define AES_FT0(x) AesForwardTable[x]\r |
96 | #define AES_FT1(x) ROTATE_RIGHT32(AesForwardTable[x], 8)\r | |
97 | #define AES_FT2(x) ROTATE_RIGHT32(AesForwardTable[x], 16)\r | |
98 | #define AES_FT3(x) ROTATE_RIGHT32(AesForwardTable[x], 24)\r | |
3aa8dc6c LQ |
99 | \r |
100 | ///\r | |
101 | /// AES Key Schedule which is expanded from symmetric key [Size 60 = 4 * ((Max AES Round, 14) + 1)].\r | |
102 | ///\r | |
103 | typedef struct {\r | |
104 | UINTN Nk; // Number of Cipher Key (in 32-bit words);\r | |
b6023fb1 LQ |
105 | UINT32 EncKey[60]; // Expanded AES encryption key\r |
106 | UINT32 DecKey[60]; // Expanded AES decryption key (Not used here)\r | |
3aa8dc6c LQ |
107 | } AES_KEY;\r |
108 | \r | |
109 | /**\r | |
b3548d32 | 110 | AES Key Expansion.\r |
3aa8dc6c LQ |
111 | This function expands the cipher key into encryption schedule.\r |
112 | \r | |
113 | @param[in] Key AES symmetric key buffer.\r | |
114 | @param[in] KeyLenInBits Key length in bits (128, 192, or 256).\r | |
115 | @param[out] AesKey Expanded AES Key schedule for encryption.\r | |
116 | \r | |
117 | @retval EFI_SUCCESS AES key expansion succeeded.\r | |
118 | @retval EFI_INVALID_PARAMETER Unsupported key length.\r | |
119 | \r | |
120 | **/\r | |
121 | EFI_STATUS\r | |
122 | EFIAPI\r | |
123 | AesExpandKey (\r | |
124 | IN UINT8 *Key,\r | |
125 | IN UINTN KeyLenInBits,\r | |
126 | OUT AES_KEY *AesKey\r | |
127 | )\r | |
128 | {\r | |
b6023fb1 LQ |
129 | UINTN Nk;\r |
130 | UINTN Nr;\r | |
131 | UINTN Nw;\r | |
132 | UINTN Index1;\r | |
133 | UINTN Index2;\r | |
134 | UINTN Index3;\r | |
3aa8dc6c LQ |
135 | UINT32 *Ek;\r |
136 | UINT32 Temp;\r | |
137 | \r | |
138 | //\r | |
139 | // Nk - Number of 32-bit words comprising the cipher key. (Nk = 4, 6 or 8)\r | |
140 | // Nr - Number of rounds. (Nr = 10, 12, or 14), which is dependent on the key size.\r | |
141 | //\r | |
142 | Nk = KeyLenInBits >> 5;\r | |
143 | if (Nk != 4 && Nk != 6 && Nk != 8) {\r | |
144 | return EFI_INVALID_PARAMETER;\r | |
145 | }\r | |
146 | Nr = Nk + 6;\r | |
b6023fb1 | 147 | Nw = AES_NB * (Nr + 1); // Key Expansion generates a total of Nb * (Nr + 1) words\r |
3aa8dc6c LQ |
148 | AesKey->Nk = Nk;\r |
149 | \r | |
150 | //\r | |
151 | // Load initial symmetric AES key;\r | |
152 | // Note that AES was designed on big-endian systems.\r | |
153 | //\r | |
b6023fb1 LQ |
154 | Ek = AesKey->EncKey;\r |
155 | for (Index1 = Index2 = 0; Index1 < Nk; Index1++, Index2 += 4) {\r | |
156 | LOAD32H (Ek[Index1], Key + Index2);\r | |
3aa8dc6c | 157 | }\r |
b3548d32 | 158 | \r |
3aa8dc6c LQ |
159 | //\r |
160 | // Initialize the encryption key scheduler\r | |
161 | //\r | |
b6023fb1 LQ |
162 | for (Index2 = Nk, Index3 = 0; Index2 < Nw; Index2 += Nk, Index3++) {\r |
163 | Temp = Ek[Index2 - 1];\r | |
164 | Ek[Index2] = Ek[Index2 - Nk] ^ (AES_FT2((Temp >> 16) & 0xFF) & 0xFF000000) ^\r | |
165 | (AES_FT3((Temp >> 8) & 0xFF) & 0x00FF0000) ^\r | |
166 | (AES_FT0((Temp) & 0xFF) & 0x0000FF00) ^\r | |
167 | (AES_FT1((Temp >> 24) & 0xFF) & 0x000000FF) ^\r | |
168 | Rcon[Index3];\r | |
3aa8dc6c LQ |
169 | if (Nk <= 6) {\r |
170 | //\r | |
171 | // If AES Cipher Key is 128 or 192 bits\r | |
172 | //\r | |
b6023fb1 LQ |
173 | for (Index1 = 1; Index1 < Nk && (Index1 + Index2) < Nw; Index1++) {\r |
174 | Ek [Index1 + Index2] = Ek [Index1 + Index2 - Nk] ^ Ek[Index1 + Index2 - 1];\r | |
3aa8dc6c LQ |
175 | }\r |
176 | } else {\r | |
177 | //\r | |
b3548d32 | 178 | // Different routine for key expansion If Cipher Key is 256 bits,\r |
3aa8dc6c | 179 | //\r |
b6023fb1 LQ |
180 | for (Index1 = 1; Index1 < 4 && (Index1 + Index2) < Nw; Index1++) {\r |
181 | Ek [Index1 + Index2] = Ek[Index1 + Index2 - Nk] ^ Ek[Index1 + Index2 - 1];\r | |
3aa8dc6c | 182 | }\r |
b6023fb1 LQ |
183 | if (Index2 + 4 < Nw) {\r |
184 | Temp = Ek[Index2 + 3];\r | |
185 | Ek[Index2 + 4] = Ek[Index2 + 4 - Nk] ^ (AES_FT2((Temp >> 24) & 0xFF) & 0xFF000000) ^\r | |
186 | (AES_FT3((Temp >> 16) & 0xFF) & 0x00FF0000) ^\r | |
187 | (AES_FT0((Temp >> 8) & 0xFF) & 0x0000FF00) ^\r | |
188 | (AES_FT1((Temp) & 0xFF) & 0x000000FF);\r | |
3aa8dc6c | 189 | }\r |
b3548d32 | 190 | \r |
b6023fb1 LQ |
191 | for (Index1 = 5; Index1 < Nk && (Index1 + Index2) < Nw; Index1++) {\r |
192 | Ek[Index1 + Index2] = Ek[Index1 + Index2 - Nk] ^ Ek[Index1 + Index2 - 1];\r | |
3aa8dc6c LQ |
193 | }\r |
194 | }\r | |
195 | }\r | |
196 | \r | |
197 | return EFI_SUCCESS;\r | |
198 | }\r | |
199 | \r | |
200 | /**\r | |
201 | Encrypts one single block data (128 bits) with AES algorithm.\r | |
202 | \r | |
203 | @param[in] Key AES symmetric key buffer.\r | |
204 | @param[in] InData One block of input plaintext to be encrypted.\r | |
205 | @param[out] OutData Encrypted output ciphertext.\r | |
206 | \r | |
207 | @retval EFI_SUCCESS AES Block Encryption succeeded.\r | |
208 | @retval EFI_INVALID_PARAMETER One or more parameters are invalid.\r | |
209 | \r | |
210 | **/\r | |
211 | EFI_STATUS\r | |
212 | EFIAPI\r | |
213 | AesEncrypt (\r | |
214 | IN UINT8 *Key,\r | |
215 | IN UINT8 *InData,\r | |
216 | OUT UINT8 *OutData\r | |
217 | )\r | |
218 | {\r | |
219 | AES_KEY AesKey;\r | |
220 | UINTN Nr;\r | |
b6023fb1 LQ |
221 | UINT32 *Ek;\r |
222 | UINT32 State[4];\r | |
223 | UINT32 TempState[4];\r | |
224 | UINT32 *StateX;\r | |
225 | UINT32 *StateY;\r | |
226 | UINT32 *Temp;\r | |
227 | UINTN Index;\r | |
228 | UINTN NbIndex;\r | |
229 | UINTN Round;\r | |
3aa8dc6c LQ |
230 | \r |
231 | if ((Key == NULL) || (InData == NULL) || (OutData == NULL)) {\r | |
232 | return EFI_INVALID_PARAMETER;\r | |
233 | }\r | |
234 | \r | |
235 | //\r | |
236 | // Expands AES Key for encryption.\r | |
237 | //\r | |
238 | AesExpandKey (Key, 128, &AesKey);\r | |
239 | \r | |
240 | Nr = AesKey.Nk + 6;\r | |
b6023fb1 | 241 | Ek = AesKey.EncKey;\r |
3aa8dc6c LQ |
242 | \r |
243 | //\r | |
244 | // Initialize the cipher State array with the initial round key\r | |
245 | //\r | |
246 | for (Index = 0; Index < AES_NB; Index++) {\r | |
b6023fb1 LQ |
247 | LOAD32H (State[Index], InData + 4 * Index);\r |
248 | State[Index] ^= Ek[Index];\r | |
3aa8dc6c LQ |
249 | }\r |
250 | \r | |
b6023fb1 LQ |
251 | NbIndex = AES_NB;\r |
252 | StateX = State;\r | |
253 | StateY = TempState;\r | |
254 | \r | |
3aa8dc6c | 255 | //\r |
b3548d32 LG |
256 | // AES Cipher transformation rounds (Nr - 1 rounds), in which SubBytes(),\r |
257 | // ShiftRows() and MixColumns() operations were combined by a sequence of\r | |
3aa8dc6c LQ |
258 | // table lookups to speed up the execution.\r |
259 | //\r | |
260 | for (Round = 1; Round < Nr; Round++) {\r | |
b6023fb1 LQ |
261 | StateY[0] = AES_FT0 ((StateX[0] >> 24) ) ^ AES_FT1 ((StateX[1] >> 16) & 0xFF) ^\r |
262 | AES_FT2 ((StateX[2] >> 8) & 0xFF) ^ AES_FT3 ((StateX[3] ) & 0xFF) ^ Ek[NbIndex];\r | |
263 | StateY[1] = AES_FT0 ((StateX[1] >> 24) ) ^ AES_FT1 ((StateX[2] >> 16) & 0xFF) ^\r | |
264 | AES_FT2 ((StateX[3] >> 8) & 0xFF) ^ AES_FT3 ((StateX[0] ) & 0xFF) ^ Ek[NbIndex + 1];\r | |
265 | StateY[2] = AES_FT0 ((StateX[2] >> 24) ) ^ AES_FT1 ((StateX[3] >> 16) & 0xFF) ^\r | |
266 | AES_FT2 ((StateX[0] >> 8) & 0xFF) ^ AES_FT3 ((StateX[1] ) & 0xFF) ^ Ek[NbIndex + 2];\r | |
267 | StateY[3] = AES_FT0 ((StateX[3] >> 24) ) ^ AES_FT1 ((StateX[0] >> 16) & 0xFF) ^\r | |
268 | AES_FT2 ((StateX[1] >> 8) & 0xFF) ^ AES_FT3 ((StateX[2] ) & 0xFF) ^ Ek[NbIndex + 3];\r | |
269 | \r | |
270 | NbIndex += 4;\r | |
271 | Temp = StateX; StateX = StateY; StateY = Temp;\r | |
3aa8dc6c LQ |
272 | }\r |
273 | \r | |
274 | //\r | |
275 | // Apply the final round, which does not include MixColumns() transformation\r | |
276 | //\r | |
b6023fb1 LQ |
277 | StateY[0] = (AES_FT2 ((StateX[0] >> 24) ) & 0xFF000000) ^ (AES_FT3 ((StateX[1] >> 16) & 0xFF) & 0x00FF0000) ^\r |
278 | (AES_FT0 ((StateX[2] >> 8) & 0xFF) & 0x0000FF00) ^ (AES_FT1 ((StateX[3] ) & 0xFF) & 0x000000FF) ^\r | |
279 | Ek[NbIndex];\r | |
280 | StateY[1] = (AES_FT2 ((StateX[1] >> 24) ) & 0xFF000000) ^ (AES_FT3 ((StateX[2] >> 16) & 0xFF) & 0x00FF0000) ^\r | |
281 | (AES_FT0 ((StateX[3] >> 8) & 0xFF) & 0x0000FF00) ^ (AES_FT1 ((StateX[0] ) & 0xFF) & 0x000000FF) ^\r | |
282 | Ek[NbIndex + 1];\r | |
283 | StateY[2] = (AES_FT2 ((StateX[2] >> 24) ) & 0xFF000000) ^ (AES_FT3 ((StateX[3] >> 16) & 0xFF) & 0x00FF0000) ^\r | |
284 | (AES_FT0 ((StateX[0] >> 8) & 0xFF) & 0x0000FF00) ^ (AES_FT1 ((StateX[1] ) & 0xFF) & 0x000000FF) ^\r | |
285 | Ek[NbIndex + 2];\r | |
286 | StateY[3] = (AES_FT2 ((StateX[3] >> 24) ) & 0xFF000000) ^ (AES_FT3 ((StateX[0] >> 16) & 0xFF) & 0x00FF0000) ^\r | |
287 | (AES_FT0 ((StateX[1] >> 8) & 0xFF) & 0x0000FF00) ^ (AES_FT1 ((StateX[2] ) & 0xFF) & 0x000000FF) ^\r | |
288 | Ek[NbIndex + 3];\r | |
3aa8dc6c LQ |
289 | \r |
290 | //\r | |
291 | // Output the transformed result;\r | |
292 | //\r | |
293 | for (Index = 0; Index < AES_NB; Index++) {\r | |
b6023fb1 | 294 | STORE32H (StateY[Index], OutData + 4 * Index);\r |
3aa8dc6c LQ |
295 | }\r |
296 | \r | |
297 | return EFI_SUCCESS;\r | |
b3548d32 | 298 | }\r |